28.04.2015 i was diagnosed with three mental disorders: F84.5 (Asperger's syndrome), F42.2 (mixed obsessive-compulsive disorder) and F21 (schizotypal disorder) (codes are from ICD-10). I quickly said to the psychiatrist about the geometrical sequence formed by the numbers in the codes of disorders with which I was diagnosed. The geometrical sequence is 21, 42, 84. In addition, phrases: 21, 42.2, 84.5 can be formed by numbers and dots in the dates: 28.04.2015 (21 - 28.04.2015, 42.2 - 28.04.2015 (there are two numbers 2 in the date 28.04.2015), 84.5 - 28.04.2015).

My coincidences started about 18.09.2014 - 19.09.2014. After that day I had 5 visits with my former psychiatrist (first visit with that psychiatrist was probably in 2009). Dates of these 5 visits were:
- 21.10.2014 (postponed from 7.10.2014)
- 27.01.2015
- 28.05.2015
- 21.07.2015
- 08.12.2015
In these dates the numbers 3, 6 and 9 do not occur at all while all other numbers occur at least two times! 3, 6, 9 is "Tesla's arithmetical sequence" ("If you only knew the magnificence of the 3, 6 and 9, then you would have a key to the universe." - Nikola Tesla).

Another "important" sequence is 33, 42, 51. It is an arithmetical sequence. When I was about 13 - 15 years old I "invented" stupid meanings for the names of chemical elements which have atomic numbers 33, 42 and 51. Second (middle) term of this sequence is the same as in the sequence 21, 42, 84. The sequence 33, 42, 51 is coincident with "aritmetical Tesla's sequence" 3, 6, 9 and also in some way with 21.7 and 21, 42, 84.
1. There are 3 terms in 33, 42, 51 sequence.
2. There are 6 digits in 33, 42, 51 sequence.
3. The common difference of 33, 42, 51 sequence is 9.
4. Sum of digits forming 33, 42, 51 sequence is 18 = 3+6+9.
5. The difference between the largest and the smallest member of 33, 42, 51 sequence is 18 = 3+6+9 = 51-33.
6. Arithmetical means of digits in numbers forming 33, 42, 51 sequence are 3:
(3+3):2 = 6:2 = 3
(4+2):2 = 6:2 = 3
(5+1):2 = 6:2 = 3
7. Sums of digits in numbers forming 33, 42, 51 sequence are 6:
3+3 = 6
4+2 = 6
5+1 = 6
8. Sum of numbers 33, 42, 51 is 126. 126 is divisible by 3, 6, 9, 18 and 7, 14, 21, 42!
126:3 = 42 (aritmentical mean of 33, 42, 51 sequence and middle member of that sequence)
126:6 = 21
126:9 = 14 (21-7 = (21+7):2, arithmetical mean of 21 and 7)
126:18 = 7
126:7 = 18 = 3+6+9 (sum of 3, 6, 9 sequence)
126:14 = 9
126:21 = 6 (aritmetical mean of 3, 6, 9 sequence)
126:42 = 3
Sum of digits in the number 126 is 9, their arithmetical mean is 3.
9. First digits of numbers 33, 42, 51 form arithmetical sequence with sum 12 (3+9) - 3, 4, 5. Second digits of numbers 33, 42, 51 form arithmetical sequence with sum 6 - 3, 2, 1. Arithmetical mean of 12 and 6 is 9.
3+4+5 = 12
3+2+1 = 6
33+42+51 = 126
10. Chemical element with atomic number (Z) 33 is in 4 period of the periodic table and chemical elements with atomic numbers 42 and 51 are in 5 period. Sum of 4 and 5 is 9. When we count 5 two times, we will receive 14 (21-7).
11. Chemical element with atomic number (Z) 42 is in 6 group of the periodic table and chemical elements with atomic numbers 33 and 51 are in 15 group. Sum of 6 and 15 is 21. When we count 15 two times, we will receive 36 (2*(3+6+9)).
12. Sum of the largest and the smallest term of 33, 42, 51 sequence is 84 (33+51).

21, 42, 84 is unusual geometrical sequence.
First digits in numbers forming it forms a geometrical sequence with sum 14 (21-7 = (21+7):2) - 2, 4, 8.
Second digits also form a geometrical sequence. Its sum is 7 - 1, 2, 4.
Sum of numbers forming 21, 42, 84 sequence is 147 (21*7).
2+4+8 = 14
1+2+4 = 7
21+42+84 = 147
Arithmetical mean of the terms of the sequence 21, 42, 84 is 49 (7*7 = (21*7):(21:7)).
Sum of arithmetical mean of 21, 42, 84 and sum of numbers forming that sequence is 196 (147+49 = (21-7)*(21-7) = 14*14).

Sums of digits in 21, 42, 84 sequence form a geometrical sequence which has the sum 21 and arithmetical mean 7:
2+1 = 3
4+2 = 6
8+4 = 12
3+6+12 = 21, 21:3 = 7

Products  of digits in 21, 42, 84 sequence form a geometrical sequence which has the sum 42 and arithmetical mean 14 (21-7, 14 is also the arithmetical mean of numbers 21 and 7):
2*1 = 2
4*2 = 8
8*4 = 32
2+8+32 = 42, 42:3 = 14

Numbers of sequence 21, 42, 84 read backwards form geometrical sequence which has the sum 84 and arithmetical mean 28 (21+7):
21 - 12
42 - 24
84 - 48
12, 24, 48 - geometrical sequence. 12+24+48 = 84, 84:3 = 28

Sum of digits before the dots or in first part of the diagnostic codes in phrase F84.5, F42.2, F21 is 21 (8+4+4+2+2+1). Sum of digits after the dots is 7 (2+5).

From the digits of 21, 42, 84 sequence a geometrical sequence which has 4 members can be formed: 1, 2, 4, 8.

(2*1):(2:1) = 2 : 2 = 1
(4*2):(4:2) = 8 : 2 = 4
(8*4):(8:4) = 32 : 2 = 16
1, 4, 16 - geometrical sequence with sum 21 and arithmetic mean 7.

(2+1)*(2:1) = 3*2 = 6
(4+2)*(4:2) = 6*2 = 12
(8+4)*(8:4) = 12*2 = 24
6, 12, 24 - geometrical sequence with sum 42 ((21-7)*(21:7)) and arithmetic mean 14 (21-7).

(2*1)*(2:1) = 2*2 = 4
(4*2)*(4:2) = 8*2 = 16
(8*4)*(8:4) = 32*2 = 64
4, 16, 64 - geometrical sequence with sum 84 ((21+7)*(21-7)) and arithmetic mean 28 (21+7).

21:(2+1) = 21:3 = 7
42:(4+2) = 42:6 = 7
84:(8+4) = 84:12 = 7
7, 7, 7 - geometrical or arithmetical sequence (constant) with sum 21 and arithmetic mean 7.

21:(2-1) = 21:1 = 21
42:(4-2) = 42:2 = 21
84:(8-4) = 84:4 = 21
21, 21, 21 - geometrical or arithmetical sequence (constant) with sum 63 (21*(21:7)) and arithmetic mean 21.

21*(2-1) = 21*1 = 21
42*(4-2) = 42*2 = 84
84*(8-4) = 84*4 = 336
21, 84, 336 - geometrical sequence with sum 441 (21*21) and arithmetic mean 147 (21*7).

(2+1)*(2-1) = 3*1 = 3
(4+2)*(4-2) = 6*2 = 12
(8+4)*(8-4) = 12*4 = 48
3, 12, 48 - geometrical sequence with sum 63 (21*(21:7)) and arithmetic mean 21.

(repeated):
(2*1) : (2:1) = 2 : 2 = 1
(4*2) : (4:2) = 8 : 2 = 4
(8*4) : (8:4) = 32 : 2 = 16
1, 4, 16 - geometrical sequence with sum 21 and arithmetic mean 7.

2-1 = 1
4-2 = 2
8-4 = 4
1, 2, 4 - geometrical sequence with sum 7 and arithmetic mean 7/3 (7:(21:7)).

(2-1)*(2-1) = 1*1 = 1
(4-2)*(4-2) = 2*2 = 4
(8-4)*(8-4) = 4*4 = 16
1, 4, 16 - geometrical sequence with sum 21 and arithmetic mean 7.

(2:1) = 2
(4:2) = 2
(8:4) = 2
2, 2, 2 - geometrical or arithmetical sequence (constant) with sum 6 (21 is the triangular number for 6) and arithmetic mean 2 ((21+7):(21-7)).

(2*1)*(2*1) = 2*2 = 4
(4*2)*(4*2) = 8*8 = 64
(8*4)*(8*4) = 32*32 = 1024
4, 64, 1024 - geometrical sequence with sum 1092. 1092 is divisible by 84 (and 42 and 21).

(2+1)*(2+1) = 3*3 = 9
(4+2)*(4+2) = 6*6 = 36
(8+4)*(8+4) = 12*12 = 144
9, 36, 144 - geometrical sequence with sum 189 (21*9) and arithmetic mean 63 (21*3).

From the digits of 21, 42, 84 sequence there can be formed arithmetical sequences: 12, 28, 44 (common difference 16, sum 84, arithmetic mean 28) and 14, 28, 42 (common difference 14, sum 84, arithmetic mean 28). If we read these sequences backwards, we will have numbers which give sum 147: 44, 82, 21 (sum is 44+82+21 = 147) and 24, 82, 41 (sum is 24+82+41 = 147). When we sum sequences 12, 28, 44 and 14, 28, 42, we receive another arithmetical sequence - 26, 56, 86. Its common difference is 30 (16+14) and sum is 168 (21*8). When we read sequence 26, 56, 86 backwards, we receive another arithmetical sequence - 68, 65, 62. When we sort these numbers ascendingly, we will receive 62, 65, 68, which is arithmetical sequence with common difference 3 (which can be written as 03, the result of swapping digits in the number 30).

(2+1)*7 = 3*7 = 21
(2-1)*7 = 1*7 = 7
(2*1)*7 = 2*7 = 14
(2:1)*7 = 2*7 = 14
(21+7)+(14+14) = 28+28 = (21+7) + (21+7)

I spend much of time thinking about these coincidences. They may cause "wasting of time" :( I may have thoughts like "Tesla prophesized about me when he said about 3, 6, 9", which looks crazy.

F21, F42.2, F84.5 - sums of two digits after Fs have the sum 21 - 2+1+4+2+8+4 = 21. Sum of digits after the dots in diagnostic codes is 7 - 2+5 = 7.

I had large coincidences because of 84 channel of satellite TV 18.12.2015. Two last digits in numbers representing day, month and year in that date (18.12.1015) are: 18, 12, 15. When we sort them ascendingly, we will receive 12, 15, 18. 12, 15, 18 are next three members of "arithmetic Tesla's sequence" (after 3, 6, 9)! What is more, the year 2015 is in 21st century and 21 is 7th member of that sequence! In addition, on 18.12.2015 I was after my 24th birthday and before my 25th birthday, so I was 24 years old. 24 is 8th member of the arithmetical progression started with numbers 3, 6, 9!

84 is the sum of 7 first terms of the "Tesla's arithmetical sequence" (3+6+9+12+15+18+21 = 84). Some (probably five) weeks before 18.12.2015, at the same day of week and at the similar time (hour), I heard about 3, 6, 9 in other episode of the same audition, that episode was about Tesla. During listening the audition at 18.12.2015, I was writing about my earlier coincidences, for example from 22.09.2014.

When we read numbers forming 33, 42, 51 sequence backwards, we will have another arithmetical sequence with common difference 9 - 15, 24, 33. Sum of numbers in that sequence (72) is divisible by 3, 6, 9 and (3+6+9), but is not divisible by 7 and 21. The difference between the largest and the smallest term of 15, 24, 33 sequence is 18 (33-15 = 18), as is in the case of the very coincident sequence 33, 42, 51 (51-33 = 18). Members of the sequence 15, 24, 33 are smaller than members of the sequence 33, 42, 51. Differences between members of these two arithmetical sequences are 18 (3+6+9):
33-15 = 18
42-24 = 18
51-33 = 18

I do not want my coincidences to be some sort of magic and superstition.

My coincidences started in IX 2014. First visit with a psychiatrist after starting of my massive coincidences was planned to be on 7.10.2014, but it was postponed to 21.10.2014 (when it occurred).
The difference between 7.10.2014 and 21.10.2014 is 14 days (two weeks, 2*7).
14 is the arithmetic mean of numbers 21 and 7.
10 is the sum of digits in numbers 21 and 7 (2+1+7 = 10).
Sum of digits in number 2014 is 7: 2+0+1+4 = 7. From the digits in number 2014 we can extract geometrical sequence with sum 7 - 1, 2, 4 (numbers are sorted ascendingly).
2*14 = 28 = 21+7. 2 is the number of weeks between 7.10.2014 and 21.10.2014 and 14 is the number of days between 7.10.2014 and 21.10.2014.

Next visit with the psychiatrist after that from 21.10.2014 occurred 27.1.2015. The number representing the day is 27 and the number representing the month is 1. Sum of these two numbers is 28 (27+1), which is also sum of numbers 21 and 7.
27 is 3*3*3 and 1 is 1*1*1. 3+1 = 4

The most important visit occurred 28.4.2015. On it I received three diagnoses (and only them): F21, F42.2 and F84.5 first time in my life.
The number representing day is 28, 28 is 21+7.
Number representing month is 4. 4 is the quotient of the largest and the smallest terms of 21, 42, 84 sequence: 84:21 = 4.
In addition, the quotient of 28 and 4 is 7: 28:4 = 7.

Next visit was 21.7.2015.
21+7 = 28. The sum of numbers representing day and month in the case of date 21.7.2015 is the same as in the case of date 27.1.2015. And the date of the visit between 27.1.2015 and 21.7.2015 is 28.4.2015.

Last visit with my former psychiatrist occurred 8.12.2015. There is no 3, 6 or 9 in that date, such as in dates: 7.10.2014, 21.10.2014, 27.1.2015, 28.4.2015, 21.7.2015.

When we write dates of the visits from 27.1.2015, 28.4.2015 and 21.7.2015 one under another ascendingly, we will have 147 (21*7) formed by numbers representing months:
27.1.2015
28.4.2015
21.7.2015

Sum of digits forming the number 147 is 12 (1+4+7) and product of digits forming that number is 28 (1*4*7). Difference of 28 and 12 is 16. 16 is arithmetic mean of 28 and 4.
Numbers forming number 147 form arithmetic sequence: 1, 4, 7. Arithmetic mean of that sequence is 4.

I received F21, F42.2 and F84.5 diagnoses (an only them) not only on 28.4.2015. I probably received these three diagnoses: 05.07.2016 (the sum of digits in the date is 21 and from the digits of the date 21.7 can be formed), 30.09.2016 (the sum of digits in the date is 21 and there are 3, 6, 9 in that date and 21 can be formed by digits in that date), 31.7.2017 (all three numbers in that date are prime numbers, sum of digits in that date is 21 and from the numbers in that date 21.7 can be formed) and 13.11.2017 (all three numbers in that date are prime numbers).

Sum of numbers in 33, 42, 51 sequence is 126. 126 is 21*6. 6 is the arithmetic mean of 3, 6, 9. In the number 126 the same digits as these occurring in the phrase "21*6" are used. Sum of these digits is 9 and their arithmetic mean is 3. Arithmetic mean of arithmetic mean of the digits in number 126 and sum of digits in number 126 is 6 ((1+2+6):3 + 9 = 9:3 + 9 = 3+9, (3+9):2 = 12:2 = 6).

I suppose that my coincidences (or at least part of them) may be the result of actions of unclean spirits. The 33, 42, 51 coincidence "has sources" in inventing evil meanings for the names of chemical elements. I regret it. It is bad that such stupid deeds occurred. Maybe satan gave me thoughts which later form the coincidences?

I may also suppose that my coincidences (or at least some of them) are proofs of existence of Divine Providence. I found that quote: A coincidence is a small miracle in which God chooses to remain anonymous (Irene Hannon).

The difference of sum of the 21, 42, 84 sequence and sum of the 33, 42, 51 sequence is 21:
(21+42+84)-(33+42+51) = 147-126 = 21
The difference of arithmetic mean of 21, 42, 84 sequence and arithmetic mean of 33, 42, 51 sequence is 7:
((21+42+84):3)-((33+42+51):3) = (147:3)-(126:3) = 49-42 = 7
The difference of the sum of digits in 21, 42, 84 sequence and the sum of digits in 33, 42, 51 sequence is 3 (21:7):
(2+1+4+2+8+4)-(3+3+4+2+5+1) = 21-18 = 3

The number 33 (the smallest number in 33, 42, 51 sequence) is composed of only one sort of digits: 3.
Arithmetic mean of the digits in the number 33 is 3:
(3+3):2 = 6:2 = 3
Sum of digits in the number 33 is 6:
3+3 = 6
Product of digits in the number 33 is 9:
3*3 = 9

Quotient of sum of numbers in 33, 42, 51 sequence and sum of digits forming that sequence is 7:
(33+42+51):(3+3+4+2+5+1) = 126:18 = 7
Quotient of sum of numbers in 21, 42, 84 sequence and sum of digits forming that sequence is also 7:
(21+42+84):(2+1+4+2+8+4) = 147:21 = 7
Sum of numbers in the sequence which is obtained by swapping digits in numbers 33, 42, 51 - 33, 24, 15 is 72. Sum of digits in 15, 24, 33 sequence is 18. Quotient of 72 and 18 is 4.
Sum of numbers in the sequence which is obtained by swapping digits in numbers 21, 42, 84 - 12, 24, 48 is 84. Sum of digits in 12, 24, 48 sequence is 21. Quotient of 84 and 21 is also 4.

(repeated):
Quotient of sum of numbers in 33, 42, 51 sequence and sum of digits forming that sequence is 7:
(33+42+51) : (3+3+4+2+5+1) = 126:18 = 7
Quotient of sum of numbers in 21, 42, 84 sequence and sum of digits forming that sequence is also 7:
(21+42+84) : (2+1+4+2+8+4) = 147:21 = 7

Product of 7 and 4 is 28 - 21+7. Quotient of 28 and 4 is 7.

I started my first "going" to day hospital (oddział dzienny in Polish) at the day 4.4.2016 and finished it at the day 24.6.2016. Sum of the digits in this date is 21, quotient of the number representing the day and the number representing the month is 4 (24:6), quotient of the number representing the year and the number representing the day is 84 - 2016:24 = 84. By swapping digits in number representing the day (24) we will receive 42.

I finished my second going to the oddział dzienny (it was the same oddział dzienny) at 27.1.2017. From that date two 21.7s can be formed!

From 30.01.2017 to 3.02.2017 I was going "on trial" to another day hospital, but I was not przyjęty (taken, accepted, adopted).

From 27.4.2017 to 24.7.2017 I was going to third oddział dzienny.
The digits in the date of beginning and the date of ending are the same (two 2s, two 7s, one 0, one 1, one 4).
The sum of numbers representing day and month is 31 in both cases (27+4 = 31 = 24+7).
The sum of digits in numbers representing day and month is 13 in both cases (2+7+4 = 13 = 2+4+7).
31 is the result of swapping digits in number 13. Both 13 and 31 are prime numbers.
2017 is also a prime numbers.
Sums of digits in entire dates 27.4.2017 and 24.7.2017 is 23 (2+7+4+2+0+1+7 = 23 = 2+4+7+2+0+1+7).
23 is also a prime number. It is a prime number which sum of digits is also a prime number (2+3 = 5). 2 and 3 are prime numbers.
Sum of digits in numbers 13 and 31 is 4. Sum of numbers 31 and 13 is 44!

21.7.2017 I got from a psychiatrist the certificate for commission adjudicating about the level of disability on which three diagnoses were mentioned: F84.5, F42.2 and F21. In that date numbers forming phrase 21.7 occur two times (21.7.2017).

From 27.4.2017 to 24.7.2017 my fourth going to day hospital (oddział dzienny) occurred. It was third time when I was accepted (przyjęty). It was my first going to that day hospital and it was third oddział dzienny to which I was going. 2+7+4 = 2+4+7 = 13, 27+4 = 24+7 = 31, 3+1 = 1+3 = 4, 13+31 = 44.

I suppose that it is really rare to find arithmetical or geometrical sequence in codes of medical diagnoses. In my case a geometrical sequence was formed by them. I suppose that I may be the only man (or even human) who received three diagnoses (and only these three) at the same time: F21, F42 and F84.

My coincidences looked interesting for me even before start of 21.7 and 21, 42, 84 coincidences. I remember severe stimming when I had coincidences 22.09.2014. They were associated with cementeries, two Austrian men (association with Leo Kanner and Hans Asperger, two men from Polish AS forum had logins associated with their surnames) and crosses (commendations) about which I read in teletext.

My first coincidences were associated with photographies of cementeries and black cat. 19.09.2014 I saw (probably dead) black cat which lied on the road which has small traffic intensity. I also photographied Jewish cementery and a part of Catholic cementery using smartphone that day. About 11 p.m. 19.09.2014 I saw on the same smartphone photographies of cementeries (probably Jewish and Catholic) made by an Aspijka (woman with Asperger's) who wrote the book about ASD in which on the first page there was black image of cat. In addition, nick of that woman was somewhat associated with Italy and next day after 19.09.2014 my brother flied to Italy. 01.09.2016 I saw another dead black cat on field track which had very low traffic intensity. Probably next day my mother started travel to Italy.

I am interesting how rare are cases when numbers in codes of health problems form geometrical or arithmetical sequence. What are chances that a person would receive at least three diagnoses which codes form such a sequence? 1:10 000 000? 1:100 000 000? 1:1000 000 000?

Maybe the autor of that topic (a woman, she appears to be from USA, so DSM could be used instead of ICD) was diagnosed with F21, F42 and F84 at the same time. It would be second case of it. I do not exclude the possibility that it could be the only person who was diagnosed with these diagnoses other than me. So the chance of being diagnosed with F21, F42 and F84 at the same time could be smaller than 1:3 500 000 000. Combination of pervasive developmental disorder, obsessive-compulsive disorder and schizotypal disorder may be ultra-rare.

21, 42, 84 is not a mere geometrical sequence, but "miraculous sequence" - has interesting properties described in my earlier posts in this topic.

F42.2 - mixed obsessive-compulsive disorder in ICD-10.
42:2 = 21
42*2 = 84

2015 - year in which I got F21, F42.2 and F84.5 diagnoses at the same time first time. The same digits as in number 2015 are in my birth weight written in my health certificate (2150 g).

Let's swap digits in numbers: 21, 42, 84 to make 12, 24, 48 - another geometrical sequence. Then subtract "second" numbers from first ones:
21 - 12 = 9;
42 - 24 = 18;
84 - 48 = 36;
9, 18, 36 - it is also a geometrical sequence.
Subtracting "third" numbers from second ones:
12 - 9 = 3;
24 - 18 = 6;
48 - 36 = 12;
"Fourth" numbers (3, 6, 12) also form a geometrical sequence.
Subtract "fourth" numbers from "third" ones:
9 - 3 = 6;
18 - 6 = 12;
36 - 12 = 24;
"Fifth" numbers also form a geometrical sequence: (6, 12, 24).
Subtract "fifth" numbers from "fourth" ones:
3 - 6 = -3
6 - 12 = -6
12 - 24 - -12
"Sixth" numbers also form a geometrical sequence: ((-3), (-6), (-12)).
Subtract "sixth" numbers from "fifth" ones:
6 - (-3) = 9;
12 - (-6) = 18;
24 - (-12) = 36;
"Seventh" numbers also form a geometrical sequence: (9, 18, 36).
We can make that iteration any number of times and we would always receive a geometrical sequence. There will be infinite(?) number of geometrical sequences produced that way.

I do not want to believe in the occult despite my coinicidence because occultism is a sin. I also do not want to practice magic because of its sinfulness.

Let's swap digits in numbers: 33, 42, 51 to make 15, 24, 33 - another arithmetical sequence (with common difference 9). Then subtract "second" numbers from first ones:
33 - 15 = 18;
42 - 24 = 18;
51 - 33 = 18;
18, 18, 18 - it is also an arithmetical sequence (constant one, common differenece is 0).
Subtracting "third" numbers from second ones:
15 - 18 = -3;
24 - 18 = 6;
33 - 18 = 15;
"Fourth" numbers (-3, 6, 15) also form an arithmetical sequence with common difference 9.
Subtract "fourth" numbers from "third" ones:
18 - (-3) = 21;
18 - 6 = 12;
18 - 15 = 3;
"Fifth" numbers also form an arithmetical sequence: (21, 12, 3) - common difference -9.
Subtract "fifth" numbers from "fourth" ones:
(-3) - 21 = -24
6 - 12 = -6
15 - 3 = 12
"Sixth" numbers also form an arithmetical sequence: ((-24), (-6), (12)) - common difference 18.
Subtract "sixth" numbers from "fifth" ones:
21 - (-24) = 45;
12 - (-6) = 18;
3 - 12 = -9;
"Seventh" numbers also form an arithmetical sequence: (45, 18, -9) - common difference -27.
Subtract "seventh" numbers from "sixth" ones:
-24 - 45 = -69
-6 - 18 = -24
12 - (-9) = 21
"Eighth" numbers also form an arithmetical sequence: -69, -24, 21 - common difference 45.
It is probable that we can make that iteration any number of times and we would always receive an arithmetical sequence. There will be infinite(?) number of arithmetical sequences produced that way.

At late spring 2015 I gave an Aspie birthday wishes on Polish Asperger's forum. The same day I saw inscription on a box for some vegetables in a shop. The inscription was quite large login of the Aspie who had birthday! In addition, I forgot to take meat from that shop and I drove back for it about 6-7 kilometers in one way.

2.4.2015 there was International Autism Day. That day I read in teletext about the visit of a president of some country in certain city in Poland.
The country from which the president was the country from which comes a login (nick) of an Aspijka who wrote an article about ASD which was presented at one of Internet sites at day 02.04.2015.
In addition, the description of the place in that Aspijka's profile was associated with the city to which the president of that foreign country arrived.

At the beginning of the ninth month of a year in 2015 an another Aspijka had a birthday.
In a public communication vehicle I saw images (or at least text with the name) of the city (it was quite far from Poland) in which that person studied.
The same day I saw surname of that Aspijka in the seat of a management (and the woman who had that surname probably had in addition two first letters of the name the same as that Aspijka).
Moreover, in later part of the same day an another woman gave me small card on which probably her name and surname were written. The name was the same as the name of Aspijka mentioned earlier. In addition, first letter of her surname could be associated with the login of that Aspijka on Polish AS forum.
Even earlier at the same day, I walked at the street which name was associated with the name of the city from which that Aspijka (at least probably) comes. When I started to ride in a bus, I also noticed an umbrella with the adverisement(?) of a product from that city.
Probably before midnight the same day I started to use toothpaste which was in packaging on which text in the language of the country in which that woman studied and which is quite far from Poland.

5.2.2018 (or 6.2.2018 or 7.02.2018) I thought about melting and boiling point of chemical element with atomic number 35. I might check if I know melting and boiling points of chemical elements. I plausibly remembered melting point of bromine (Z=35) as -7 °C and boiling point as 59 °C (approximate values, melting point is more precisely -7,2 °C and boiling point is 58,8 °C). "So I thought about -7 and 59". Earlier I heard piece of sound entitled "Bromine" (not 5.2.2018, but earlier in my life).
Sum of digits in number 59 is 14.
Sum of 14 and -7 is 7.
Sum of 14 and 7 (absolute value of -7 is 7) is 21. 21.7 coincidence again!

14.02.2015 I had coincidences associated with the same Aspijka as one mentioned in last part in my previous post in that topic. That day I read her blog. My grandmother told me to photograph leafless trees using my smartphone. That Aspijka had (probably leafless) tree in her picture image.
About few months earlier I had another coincidence due to this image. I read a topic started by that person on my smartphone when I was in the room in which there were many pictures of trees (or near it)!

There are many interesting properties of arithmetical progression 33, 42, 51. It is coincident due to three main reasons:
1. Association with "Tesla's arithmetical progression" (3, 6, 9).
- arithmetical means of digits in numbers forming 33, 42, 51 are 3
- sums of digits in numbers forming 33, 42, 51 are 6
- common difference of 33, 42, 51 is 9
- sum of digits in 33, 42, 51 is 18 (3+6+9)
- there are 3 numbers in 33, 42, 51
- there are 6 digits in 33, 42, 51
2. Association with 21.7 and geometrical sequence 21, 42, 84.
- sum of numbers in 33, 42, 51 is 126, which is 7*(3+6+9) = 7*18; 126 is divisible by 7 and the result is 18 - sum of numbers 3, 6, 9
- 126 is divisible by 21 and the result is arithmetical mean of 3, 6, 9 - 6 (126/21 = 6)
- 42 is the middle member of arithmetical progression 33, 42, 51
- sum of two extreme terms of 33, 42, 51 is 84
- sum of 33, 42, 51 is (21+42+84) - 21 = 147 - 21 = 126
- arithmetical mean of 33, 42, 51 is ((21+42+84)/3) - 7) = (147/3) - 7 = 49 - 7 = 42
- sum of digits of 33, 42, 51 is 18, which is ((2+1+4+2+8+4) - (21/7)) = 21 - 3
3. Fact of the possibility of forming other arithmetical sequences from digits of 33, 42, 51.

From digits in 33, 42, 51 we can form five-membered arithmetical progressions: 1, 2, 3, 4, 5 (ascending) and 5, 4, 3, 2, 1 (descending).

First digits in numbers of arithmetical progression 33, 42, 51 form an arithmetical sequence: 3, 4, 5.
Second digits in numbers of arithmetical progression 33, 42, 51 form an arithmetical sequence: 3, 2, 1.

When we read 33, 42, 51 backwards, we will receive another arithmetical sequence - 15, 24, 33. Common difference (CD) of that arithmetical progression is the same as in the case of 33, 42, 51 and it is 9.

First digits in numbers of arithmetical progression 15, 24, 33 form an arithmetical sequence: 1, 2, 3.
Second digits in numbers of arithmetical progression 15, 24, 33 form an arithmetical sequence: 5, 4, 3.

From the digits of 33, 42, 51 six another ascending arithmetical sequences can be formed!

First is 13, 24, 35. Its CD is 11 and sum is 72.
First digits in numbers of arithmetical progression 13, 24, 35 form an arithmetical sequence: 1, 2, 3.
Second digits in numbers of arithmetical progression 13, 24, 35 form an arithmetical sequence: 3, 4, 5.

Second is 31, 42, 53. Its CD is 11 and sum is 126.
First digits in numbers of arithmetical progression 31, 42, 53 form an arithmetical sequence: 3, 4, 5.
Second digits in numbers of arithmetical progression 31, 42, 53 form an arithmetical sequence: 1, 2, 3.

Third is 14, 33, 52. Its CD is 19 and sum is 99.
First digits in numbers of arithmetical progression 14, 33, 52 form an arithmetical sequence: 1, 3, 5.
Second digits in numbers of arithmetical progression 14, 33, 52 form an arithmetical sequence: 4, 3, 2.

Fourth is 25, 33, 41. Its CD is 8 and sum is 99.
First digits in numbers of arithmetical progression 25, 33, 41 form an arithmetical sequence: 2, 3, 4.
Second digits in numbers of arithmetical progression 25, 33, 41 form an arithmetical sequence: 5, 3, 1.

Fifth is 12, 33, 54. Its CD is 21 and sum is 99.
First digits in numbers of arithmetical progression 12, 33, 54 form an arithmetical sequence: 1, 3, 5.
Second digits in numbers of arithmetical progression 12, 33, 54 form an arithmetical sequence: 2, 3, 4.

Sixth is 21, 33, 45. Its CD is 12 and sum is 99.
First digits in numbers of arithmetical progression 21, 33, 45 form an arithmetical sequence: 2, 3, 4.
Second digits in numbers of arithmetical progression 21, 33, 45 form an arithmetical sequence: 1, 3, 5.

There is also coincidence of arithmetical progression formed by digits of six first natural numbers which are greater than zero - 1, 2, 3, 4, 5, 6. Their sum is 21 and their form six-membered arithmetical progression. 21 is the triangular number for 6. 1+2+3+4+5+6 = 21.

From the digits of the sequence 12, 34, 56 seven other ascending arithmetical progressions formed by three terms and six digits can be formed. These arithmetical sequences are:
- 14, 25, 36
- 16, 25, 34
- 41, 52, 63
- 43, 52, 61
- 21, 43, 65
- 25, 43, 61
- 16, 34, 52

Arithmetical means of sums of digits in numbers forming these sequences are 7 and the sequences have 3 terms (3 is 21:7). Sums of digits of middle terms of these sequences are always 7 and sums of all three numbers forming the sequences is always 21. The sequences have 6 digits.

First and second digits in these arithmetical progressions always form arithmetical sequences, as in the case of 33, 42, 51 and sequences formed by its digits.

16.04.2018 another large coincidence happened. I wrote phrase "Kot mruczy, a krowa muczy" ("Cat purrs, (and) cow moos") in a notebook. Later I wrote "Grodno i Kowno" ("Grodno (Hrodna) and Kaunas"). On the same page of the notebook I wrote word "Krowno" (there should be small letter at the beginning in fact), which is my neologism for cow feces. First sentence in next page of the notebook was "Kot - po niemiecku znaczy to "kał"." ("Kot - in German it means "feces".").

So eight words were coincident:
1. Kot
2. Mruczy
3. Krowa
4. Muczy
5. Grodno
6. Kowno
7. Krowno
8. Kał

"Mruczy" and "muczy" are:
- two verbs,
- in present tense,
- in third person,
- in singular,
- words which means emitting sound,
- words which means emitting sound by animals,
- words which means emitting sound by domesticated animals (cat and cow - both have three-lettered name in English),
- words which have the same first letters,
- words which have the same four letters as they last letters (and "mruczy" has only 6 letters and "muczy" has only 5 letters)!

When I wrote cow moos cat purrs in Google, the first link was about "31 Animal Sounds in German: Can You Meow, Buzz and Chirp in ...". I wrote about Germany or Germans in the notebook 16.04.2018 before I wrote "Kot mruczy, a krowa muczy", I also wrote before writing that sentence sentences in English language, one of which was "When you see an apple, you just see an apple what you eat, but it is the whole process of making of the apple".

English word "cow" has almost the same pronunciation as Polish word "kał".

Grodno (Hrodna) and Kowno (Kaunas):
- have number of inhabitants between 300 000 and 400 000,
- lie (almost) at the same longitude,
- were in Trakai Voivodeship in Polish–Lithuanian Commonwealth,
- lie on the same river (Neman),
- names "Grodno" and "Kowno" have two letters "o" in them and they are only vovels in these words,
- have names which starts on velar stops,
- Grodno and Kowno have two the same letters at the end ("-no"),
- in words "Grodno" and "Kowno" third letters from the end are voiced consonants,
- in words "Grodno" and "Kowno" fourth letters from the end are "o",
- in words "Grodno" and "Kowno" fifth letters from the end are consonants.

Words "Kowno" and "krowno" are very similar to each other:
- they both starts on the same letter,
- they both have neuter gender,
- they both are in singular,
- they have the same four letters as they last letters (and "krowno" has only 6 letters and "Kowno" has only 5 letters)!

I experienced many coincidences since IX 2014. Earlier I had almost no coincidences. My first coincidences were often associated with persons with aucorigias (aucorigia, aucory - my term for ASD and similar disorders like NVLD and SCD).

I experienced big coincidences due to the numbers in codes of psychiatric diagnoses (the diagnoses were: F84.5, F42.2, F21).
First time in my life I received these three (and only these three) diagnoses together 28.4.2015. From the digits in that date 84.5 or 42.2 or 21 can be formed!
Numbers: 84, 42, 21 form a geometrical sequence and first digits in that numbers (2, 4, 8 ) also form a geometrical sequence, sum of first digits is 14.
Second numbers in 21, 42, 84 form another geometrical sequence - 1, 2, 4, sum of second numbers is 7.
Sum of numbers 21, 42, 84 is 147 (21*7).

It may prove supernatural origin of my coincidences. But it may look more probable that the coincidences are from evil spirits than from the Creator.

"Grodno" and "krowno" are quite similar words:
- both have six letters,
- both have neuter gender,
- both contains two vovels,
- first letters in these words are consonants (velar stops "g" and "k"),
- second letters in these words are the same ("r"),
- third letters in these words are the same ("o"),
- fourth letters in both words are voiced consonants ("d" and "w" ("w" in Polish is the counterpart of "v"),
- fifth letters in both words are the same ("n"),
- sixth letters in both words are the same ("o").

"Muczy" and "Kowno" are also somewhat similar words:
- both have five letters,
- both starts on consonants,
- both have vovels as second letters,
- third letters in both are consonants,
- fourth letters in both are consonants,
- fifth (last) letters in these words are vovels ("y" is a vovel in Polish).

"Mruczy" and "krowno" (and "mruczy" and "Grodno") are also somewhat similar words:
- both have six letters,
- both starts on consonants,
- both have the same consonants ("r") as second letters,
- both have vovels as third letters,
- fourth letters in both are consonants,
- fifth letters in both are consonants,
- sixth (last) letters in these words are vovels.

I invented bad, vulgar meanings for names of chemical elements with atomic numbers 33, 42, 51 when I was about 12 - 15 years old. It was sinful, evil and I regret it. These three numbers became coincident for me because of "Tesla arithmetical sequence" (3,6,9) and another sequence which was coincident for me (the geometrical sequence 21, 42, 84).

The atomic numbers of these elements form an arithmetical sequence (33, 42, 51) with common difference 9:
42 - 33 = 9,
51 - 42 = 9.
Sums of digits in numbers 33, 42, 51 are 6:
3+3 = 6,
4+2 = 6,
5+1 = 6.
Arithmetical means of sums of digits in numbers forming 33, 42, 51 sequences are 3:
(3+3):2 = 6:2 = 3,
(4+2):2 = 6:2 = 3,
(5+1):2 = 6:2 = 3.
There are 3 numbers in the sequence 33, 42, 51.
There are 6 digits in the sequence 33, 42, 51.
The sum of digits in numbers 33, 42, 51 is 18 (3*6, 3+6+9).

The sum of numbers in 33, 42, 51 is 126.
126 is divisible by 3, 6 and 9 and by the sum of 3, 6 and 9 (18).
126:3 = 42
126:6 = 21
126:9 = 14
126:18 = 7
Sum of the smallest term and the largest term of the sequence 33, 42, 51 is 84 (33+51).

I had first visit with my former psychiatrist after beginning of my coincidences at 21.10.2014, which was postponed from 7.10.2014.
Next visit was 27.1.2015. During it I received F2x diagnosis first time (it was F21 - schizophrenia-type disorder). Sum of 27 and 1 is 28. 27 is 3*3*3, 1 is 1*1*1. Sum of 3 and 1 is 4.
Next visit was 28.4.2015. During it I received three and only three diagnoses: F84.5, F42.2 and F21.
Next ambulatory visit was 21.7.2015. Sum of 21 and 7 is 28.
Last visit with my former psychiatrist occurred 08.12.2015.

Sum of numbers in first part of ICD-10 codes: F84.5, F42.2 and F21 is 84+42+21 - 147, which is 21*7.
Sum of digits in first parts of diagnostic codes (two digits after F) in the case of F84.5, F42.2, F21 is 8+4+4+2+2+1 - 21. Sum of digits after the dots (in second part of the codes: F84.5, F42.2, F21) is 5+2 - 7.

Sums of digits in terms of geometric sequence 84, 42, 21 form a geometric sequence with sum 21:
8+4 = 12
4+2 = 6
2+1 = 3
Sums of differences of digits in terms of geometric sequence 84, 42, 21 form a geometric sequence with sum 7:
8-4 = 4
4-2 = 2
2-1 = 1

The sum of digits in arithmetic sequence 33, 42, 51 is 18 and the sum of numbers of that sequence is 126. There are also other sequences which have the same sum of digits (18) and the same sum of numbers (126). Some of them are:
- 21, 42, 63 - read backwards it forms arithmetic sequence 36, 24, 12 (its ascending counterpart is 12, 24, 36)
- 0, 42, 84 - read backwards it forms arithmetic sequence 48, 24, 0 (its ascending counterpart is 0, 24, 48)
- 11, 42, 73 - read backwards it forms arithmetic sequence 37, 24, 11 (its ascending counterpart is 11, 24, 37).

Sequences formed by digits of 11, 42, 73 are somewhat interesting because their extreme members (the smallest and the largest) are prime numbers and common differences of them are also prime numbers:
- 11, 42, 73 - common difference 31
- 11, 24, 37 - common difference 13
- 13, 42, 71 - common difference 29
- 17, 24, 31 - common difference 7.

Digits in numbers 13, 42, 71 sorted ascendingly will form 1, 1, 2, 3, 4, 7. Let's form numbers which have two digits from these sorted digits. We will receive 11, 23, 47. We received three prime numbers which sums of digits are also prime numbers (1+1 = 2; 2+3 = 5; 4+7 = 11).

10,5, 21, 42 - a geometric sequence which has two terms the same as the sequence 21, 42, 84. Sum of numbers 10,5, 21, 42 is 73,5. 73 is a prime number and 5 is a prime number.
Digits of number 73,5 sorted ascendingly will form an arithmetical progression: 3, 5, 7. It is the only aritmetical sequence which is "constructed" from prime numbers (3, 5, 7) and has at the same time the common difference (2) which is also a prime number.

Today I had a visit with a psychiatrist. Probably it was written that I have F84.5, F42.2, F21. Today is 04.06.2018. Sum of digits in that date is 21 and 21 can be formed from digits of that date. In addition, last digits in numbers meaning day, month and year form an arithmetical sequence with sum 18 (4, 6, 8).

I finished my first therapy in a day hospital 24.06.2016. That date is coincident with numbers in codes F21, F42, F84. On the excerpt from the hospital F84.5, F42.2 and F21 were present.

- sum of digits in the date 24.06.2016 is 21;
- from the digits of that date a geometrical sequence with the sum of numbers 42 can be formed (6, 12, 24 - there are two digits 2 in the date and in the sequence), two arithmetical sequences with the sun of numbers 42 also can be formed from digits of that date (6, 14, 22; 2, 14, 26);
- quotient of the number meaning the year and number meaning the day in the month is 84 (2016:24 = 84).

I ended my first going to a day hospital 24.06.2016. That date is coincident with numbers 21, 42 and 84. In the excerpt from my first going to the day hospital there were four diagnoses, three of them were F84.5, F42.2 and F21.

- quotient of the number that means the year (2016) and the number that means the day in month (24) is 84;
- from the digits of the date 24.06.2016 two arithmetical sequences (ascending) with sum of numbers 42 can be formed:
* 2, 14, 26
* 6, 14, 22;
- an ascending geometrical sequence with the sum of numbers 42 also can be formed from the digits of 24.06.2016:
* 6, 12, 24;
- the sum of digits in date 24.06.2016 is 21.

I ended my second therapy in a day hospital 27.1.2017. From that date two phrases "21.7" can be formed. An ascending arithmetical sequence with the sum of numbers 21 and arithmetical mean (and middle number) of that sequence is 7:
* 2, 7, 12.
From the date 27.01.2017 a fourth-termed arithmetical sequence can be formed:
* 2, 7, 12, 17.

My third "full-term", regular going to a day hospital (other than the hospital to which I was going from 04.04.2016 to 24.06.2016 and from 08.11.2016 to 27.01.2017) started 27.04.2017 and ended 24.07.2017.
- in both dates there are the same digits (2, 7, (0), 4, 2, 0, 1, 7);
- sums of numbers meaning days and months are the same in both dates and that sums are prime numbers (27+4=31, 24+7=31);
- sums of digits in numbers meaning days and months are the same and are prime numbers formed from reading sums of numbers meaning days and months (31) backwards (2+7+4=13, 2+4+7=13);
- the number which means the year (2017) is a prime number;
- the sums of digits in dates: 27.04.2017 and 24.07.2017 are 23 and 23 is a rare example of a prime number which is formed only by digits that means prime numbers (2 and 3) and, in the same time, has the sum of digits which is a prime number (2+3=5);
- from the digits in the dates: 27.04.2017 and 24.07.2017 three ascending arithmetical sequences with sums of digits 21 and arithmetical means (and middle terms) 7 can be formed:
* 0, 7, 14
* 2, 7, 12
* 4, 7, 10.

I get four psychiatric drugs last time:
- olanzapine (10 mg at evening, night), it is theoretically against schizophrenia,
- sulpiride (200 mg at morning), it is theoretically against schizophrenia,
- chlorprothixen (15 mg at morning), probably against OCD
- paroxetine (30 mg at morning), against OCD.

In summer 2017 I read about prime numbers in certain book. The same summer I had a visit with my psychiatrist. It happened 31.7.2017.

The diagnoses were, of course, F84.5, F42.2 and F21. Sum of digits in that date is 21. There were two other dates formed by the same digits last year:
- 17.3.2017,
- 13.7.2017.
All three dates (31.7.2017, 17.3.2017, 13.7.2017) have only prime numbers in them, in addition, the sum of numbers in these two dates is divisible by 21.
17+3+2017=2037=21*97
13+7+2017=2037=21*97

From the digits of the date 31.7.2017 two arithmetical sequences which have sum of numbers 21 and arithmetical mean and middle term 7:
- 3, 7, 11
- 1, 7, 13
These two sequences are formed by non-composite numbers. The sequence 3, 7, 11 is formed by three additive prime numbers (very rare case)!
Another arithmetical sequence formed by additive prime numbers only is 3, 5, 7. 357 = 21*17= 3*7*17 (prime factorization of 357). Prime factors forming 357 can be constructed by digits in the date 31.7.2017. 21 and 17 can be formed from the digits in the date 31.7.2017.

It was not only date at which I had a visit with the psychiatrist formed by prime numbers only. I had a visit 13.11.2017. Diagnoses were most probably F84.5, F42.2 and F21. From that date two arithmetical sequences formed by non-composite numbers only and having sum of numbers 21 and arithmetical mean 7 can be formed:
- 1, 7, 13
- 3, 7, 11.

9.3.2016 at 11:05 pm I wrote a post on Polish AS forum in which I mentioned that "Tesla numbers" (3, 6, 9) were associated with a login of one of users of that forum (who has "369" in his nick), who has interesting symptoms, somewhat similar to mine. I might noticed association between "369" from his login and Tesla's 3, 6, 9 only 9.3.2016... Although I knew about 3, 6, 9 since about 3 - 4 months earlier and I had big coincidence in the 3, 6, 9 motiff 18.12.2015.
Date: 09.03.2016.
Sum of digits: 21
3, 6, 9 - that arithmetical sequence can be formed from last digits of numbers forming that date!
From the digits in the date 9.3.2016 five-membered arithmetical sequence can be formed: 0, 3, 6, 9, 12. Sum of digits in that sequence is 21, sum of numbers is 30.

I had a visit with a psychiatrist 30.09.2016. That date gives similar coincidences like 9.3.2016. The sum of digits is also 21, the sequence 3, 6, 9 can also be formed by digits in the date 30.09.2016. Numbers other than 3, 6,9 and zeros form 21. At that visit I was probably diagnosed with F84.5, F42.2 and F21.

I had a visit with a psychiatrist 05.07.2016. The sum of digits is 21. Three-membered arithmetical sequence with sum 18 and arithmetical mean 6 (like 3, 6, 9) can be formed from digits in that date (5, 6, 7). So that date is also coincident with "Tesla's arithmetical sequence". 21.7 can also be formed from that date.

One of my last "meetings" with a psychiatrist was 04.06.2018. The date is very coincident. I was diagnosed with F84.5, F42.2 and F21 that time.
- the sum of digits is 21,
- last digits in numbers meaning day, month and year form an arithmetical sequence with sum 18 and arithmetical mean 6 - like in the case of sequence 3, 6, 9, that arithmetical sequence is 4, 6, 8,
- five-membered arithmetical sequence (2, 4, 6, 8, 10) can be formed from digits of that date, sum of numbers of that sequence is 30 and sum of digits is 21 - like in the case of five-membered arithmetical sequence formed by digits from the date 30.09.2016,
- if we write the date not as 4.6.2018, but as 04.06.2018, six-membered arithmetical sequence could be formed by digits of the date - 0, 2, 4, 6, 8, 10.

25.08.2016 - I had coincidence associated with:
- squirrels,
- Hungarian language,
- swimming in the pool,
- "gacie" (colloquial Polish word meaning "pants" or maybe rarer "trousers"), "gatyok" (rare Hungarian word for trousers?).

In summer 2016 I listened or watched on YouTube films about squirrels and pants (also in Hungarian, the word "gatyok" may be associated with it) and about a squirrel swimming in the pool! It was that film: A mókus és a víz esete. That film was added to YouTube 05.08.2016 and now has (about) 231 views.

25.08.2016 I wrote the word "gatyok" in the notebook in a centre helping people with AS/PDD. In the bus, after leaving the centre, I heard someone talking about... "pants to swimming in the pool" (Polish: "gacie do pływania w basenie")!

I paid attention to arithmetical sequences which:
1. Are formed by three numbers
2. Have the sum of digits 18
3. Have arithmetical mean 42 or 24.
An example of that sequence is 33, 42, 51.

There are quite many sequences which meet that criteria.
0, 42, 84 is another example.
Let's read that sequence backwards. What we will receive? Another arithmetical sequence - 48, 24, 0.

01, 42, 83 - backwards: 38, 24, 10 (arithmetic sequence) - when we do not write original sequence as 01, but "normally" as 1, the phenomenon of forming another arithmetical sequence by reading backwards would disappear.

02, 42, 82 - backwards: 28, 24, 20 (arithmetic sequence)
03, 42, 81 - backwards: 18, 24, 30 (arithmetic sequence)
04, 42, 80 - backwards: 08, 24, 40 (arithmetic sequence)
05, 42, 79 - backwards: 97, 24, 50 (no arithmetic sequence - sum of digits is NOT 18)
06, 42, 78 - backwards: 87, 24, 60 (no arithmetic sequence - sum of digits is NOT 18)

07, 42, 77 - backwards: 77, 24, 70 (no arithmetic sequence - sum of digits is NOT 18)
08, 42, 76 - backwards: 67, 24, 80 (no arithmetic sequence - sum of digits is NOT 18)
09, 42, 75 - backwards: 57, 24, 90 (sum of digits is not 18, arithmetic sequence will be formed if numbers will be sorted ascendingly or descendingly)
10, 42, 74 - backwards: 47, 24, 01 (arithmetic sequence)
11, 42, 73 - backwards: 37, 24, 11 (arithmetic sequence, that group of digits or numbers has interesting properties)
12, 42, 72 - backwards: 27, 24, 21 (arithmetic sequence)
13, 42, 71 - backwards: 17, 24, 31 (arithmetic sequence, that group of digits or numbers has interesting properties)
14, 42, 70 - backwards: 07, 24, 41 (arithmetic sequence)
15, 42, 69 - backwards: 96, 24, 51 (no arithmetic sequence - sum of digits is NOT 18)
16, 42, 68 - backwards: 86, 24, 61 (no arithmetic sequence - sum of digits is NOT 18)
17, 42, 67 - backwards: 76, 24, 71 (no arithmetic sequence - sum of digits is NOT 18)
18, 42, 66 - backwards: 66, 24, 81 (no arithmetic sequence - sum of digits is NOT 18)
19, 42, 65 - backwards: 56, 24, 91 (no arithmetic sequence - sum of digits is NOT 18)
20, 42, 64 - backwards: 46, 24, 02 (arithmetic sequence)
21, 42, 63 - backwards: 36, 24, 12 (arithmetic sequence, sums of digits are 3, 6, 9 or 9, 6, 3)
22, 42, 62 - backwards: 26, 24, 22 (arithmetic sequence)
23, 42, 61 - backwards: 16, 24, 32 (arithmetic sequence, the same digits as in 21, 42, 84)
24, 42, 60 - backwards: 06, 24, 42 (arithmetic sequence)
25, 42, 59 - backwards: 95, 24, 52 (no arithmetic sequence - sum of digits is NOT 18)
26, 42, 58 - backwards: 85, 24, 62 (no arithmetic sequence - sum of digits is NOT 18)
27, 42, 57 - backwards: 75, 24, 72 (no arithmetic sequence - sum of digits is NOT 18)
28, 42, 56 - backwards: 65, 24, 82 (no arithmetic sequence - sum of digits is NOT 18)
29, 42, 55 - backwards: 55, 24, 92 (no arithmetic sequence - sum of digits is NOT 18)
30, 42, 54 - backwards: 45, 24, 03 (arithmetic sequence)
31, 42, 53 - backwards: 35, 24, 13 (arithmetic sequence)
32, 42, 52 - backwards: 25, 24, 23 (arithmetic sequence)
33, 42, 51 - backwards: 15, 24, 33 (arithmetic sequence)
34, 42, 50 - backwards: 05, 24, 43 (arithmetic sequence)
35, 42, 49 - backwards: 94, 24, 53 (no arithmetic sequence - sum of digits is NOT 18)
36, 42, 48 - backwards: 84, 24, 63 (no arithmetic sequence - sum of digits is NOT 18)
37, 42, 47 - backwards: 74, 24, 73 (no arithmetic sequence - sum of digits is NOT 18)
38, 42, 46 - backwards: 64, 24, 83 (no arithmetic sequence - sum of digits is NOT 18)
39, 42, 45 - backwards: 54, 24, 93 (no arithmetic sequence - sum of digits is NOT 18)
40, 42, 44 - backwards: 44, 24, 04 (arithmetic sequence)
41, 42, 43 - backwards: 34, 24, 14 (arithmetic sequence)
42, 42, 42 - backwards: 24, 24, 24 (arithmetic sequence)

47-23=24.
The difference between second and first number in the sequence is 12 and the difference between third and second numbers is 24. Let's add 12 to 24 and add the sum of 12 and 24 to third member of the 11, 23, 47 sequence.
12+24=36.
47+36=83. 
So we have four-membered sequence: 11, 23, 47, 83. Let's add 36+12 to 83 to produce fifth member:
36+12=48
48+83=131
Let's add 48+12 to 131 to produce sixth member:
48+12=60
131+60=191
Let's add 60+12 to 191 to produce seventh member:
60+12=72
191+72=263
We received seven-membered sequence: 11, 23, 47, 83, 131, 191, 263.
Eighth member is 263+84=347. Seven first members of the sequence are additive prime numbers, it is probably the smallest such a sequence of at least seven additive prime numbers (eighth member is a prime number, but not an additive prime number).
1+1=2
2+3=5
4+7=11
8+3=11
1+3+1=5
1+9+1=11
2+6+3=11

(Sorry, last post is incomplete)

I may wonder why the coincidences happened in my life. They started in 2014. Earlier I practically did not experience that sort of phenomena. Many people voted that my coincidences are results of mere mathematical chance - maybe they are, although the probability of it may looks relatively low.

Now new coincidences are quite rare. When I had some of my first coincidences 22.09.2014, I was excited, agitated and severely stimming, which was soemtimes loud. Earlier coincidences were interesting, although they were not associated with F21, F42.2 and F84.5 or 28.4.2015 or 24.6.2016 or 33, 42, 51 or 3, 6, 9 or 21.7.

There is interesting phenomenon associated with prime numbers and some of arithmetical sequences which have sum of digits 18, number of terms 3 and middle member 24 or 42:
- 11, 24, 37 (common difference 13)
- 11, 42, 73 (common difference 31)
- 17, 24, 31 (common difference 7)
- 13, 42, 71 (common difference 29)
All extreme members of these four arithmetical sequences are prime numbers (11, 37, 73, 17, 31, 13, 71)!
All four common differences are prime numbers (13, 31, 7, 29)! In extreme members of these four sequences only three digits are present: 1, 3, 7. Numbers 1, 3, 7 are not composite. Their product is... 21, one of factors is 7.

This is not the only phenomenon associated with these sequences and prime numbers. When we sort digits forming one of these four sequences ascendingly, we will receive 1, 1, 2, 3, 4, 7. When we produce three two-digit numbers from these digits, we will receive 11, 23, 47.
23-11=12.
47-23=24.
The difference between second and first number in the sequence is 12 and the difference between third and second numbers is 24. Let's add 12 to 24 and add the sum of 12 and 24 to third member of the 11, 23, 47 sequence.
12+24=36.
47+36=83. 
So we have four-membered sequence: 11, 23, 47, 83. Let's add 36+12 to 83 to produce fifth member:
36+12=48
48+83=131
Let's add 48+12 to 131 to produce sixth member:
48+12=60
131+60=191
Let's add 60+12 to 191 to produce seventh member:
60+12=72
191+72=263
We received seven-membered sequence: 11, 23, 47, 83, 131, 191, 263.
Eighth member is 263+84=347. Seven first members of the sequence are additive prime numbers, it is probably the smallest such a sequence of at least seven additive prime numbers (eighth member is a prime number, but not an additive prime number).
1+1=2
2+3=5
4+7=11
8+3=11
1+3+1=5
1+9+1=11
2+6+3=11

The sum of digits forming 21, 42, 84 sequence is 21 and the difference of first and second digits is 7:
2+1=3
4+2=6
8+4=12
3+6+12=21
2-1=1
4-2=2
8-4=4
1+2+4=7
Sums and differences mentioned above form geometrical sequences.
21 and 7 is an interesting pair of numbers.
(2+1)*7=3*7=21
(2-1)*7=1*7=7
(2*1)*7=2*7=14
(2:1)*7=2*7=14
21+7=14+14=28=(21-7)+(21-7)

Products of digits forming sequence 21, 42, 84 form a geometric sequence with sum 42 and quotients of first and second numbers of that sequence form constant geometric sequence with sum 6:
2*1=2
4*2=8
8*4=32
2+8+32=42
2:1=2
4:2=2
8:4=2
2+2+2=6
Sum of numbers 42 and 6 is the same as product of their digits:
42+6=48=4*2*6
It is quite rare phenomenon. Another pairs of numbers which give such an effect are 46 and 2 (formed by the same digits as 42 and 6) and 96 and 12:
46+2=48=4*6*2
96+12=108=9*6*1*2
42:6=7, 21:7=3, 7*3=21

Sum of dividends and divisors in divisions mentioned earlier (2:1, 4:2, 8:4) is 21. Sum of quotients is 6.
21 and 6 is also an interesting pair of numbers - the product of 21 and 6 is formed by the same digits as two factors forming that product: 21*6=126. It is probably the only pair formed by two-digit and one-digit numbers which gives such an effect. Another examples of pairs of numbers giving such an effect are 21 and 60 and 210 and 6:
21*60=1260=210*6

I noticed something interesting in sums of digits in the date 28.4.2015. If we count the digits which are present here one times each, we will recieve 20 - 2+8+4+0+1+5. Second number 2 was not counted. If we add all digits which are in the date 28.4.2015, including repetitions, we will receive 2+8+4+2+0+1+5 = 22. We received two numbers: 20 and 22.
Arithmetical mean of these numbers is 21 ((20+22):2=21).
Sum of the numbers 20 and 22 is 42.
Difference of squares of these numbers is (22*22)-(20*20)=484-400=84.

The sum of digits meaning day and month in the date 28.4.2015 is 14. Digits forming numbers 28 and 4 sorted ascendingly or descendingly form geometrical sequence. 14 is arithmetical mean of numbers 21 and 7 and difference of 21 and 7.

In the number meaning year in date 28.4.2015 there are the same digits as in birth weight written in my health certificate (2150 g).

I also noticed that the sum of numbers 77 and 7 is 84. Sum of digits in the phrase "77+7" is 21. In the phrase "77.7" there is only one sort of digits - 7.

Many votes in polls tell that my coincidences are just results of mere mathematical chance (ROMMC). If it is so, why I had diagnoses of schizotypal disorder or (paranoid) schizophrenia? There is some chance that my coincidences are ROMMC, but they may be quite low because my coincidences are quite large in number and started quite suddenly in IX 2014. Before second half of IX 2014 I did not experience coincidences. I had only some sort of ideas of reference associated with meteorite, comet, satellite or other object which fell from the sky at 31.08.1997 (last day before starting my going to school) and dangerously-looking road accidents (or maybe just collisions because no one was wounded in them) which took place near my home.

Many of my coincidences are associated with numbers. Four sets of numbers are especially important:
- 21, 42, 84
- 33, 42, 51
- 3, 6, 9
- 21, 7
One set of numbers forms a geometrical sequence, two are arithmetical sequences, one is two numbers from which one is three times larger than another. First coincidences with that sets numbers were noticed rather AFTER my first diagnosis of schizotypal disorder (27.1.2015) or when I received my first diagnosis of StD. I had serious coincidences before 27.1.2015! I may receive social pension due to my coincidences. Tesla coincidence appeared first time 18.12.2015. I might noticed links between 33, 42, 51 and 3, 6, 9 only in 2018.

I was diagnosed with schizophrenia (F20 in ICD-10) only in some weeks of the first half of 2016 year. Earlier and later I was diagnosed with schizotypal disorder (F21 in OCD-10). I had some "paranoid" fears (for example that other people may want to poison me or kill me) since being about 16 years old. I do not remember having that symptom when I was younger than about 16 years old. But I was diagnosed with F21 in 2015, not earlier. Earlier I received diagnoses of AS and OCD (since 2008-2009). Large number of coincidences occurred quite suddenly in autumn 2014. I had a visit with my former psychiatrist 21.10.2014 and I was still not diagnosed with schizotypal disorder despite having coincidences since about one month at that time. Diagnosis of F21 appeared first time during next visit, 27.1.2015.

Hallucinations were (almost) not present in my life. I remember about 15 cases of hearing simple voices when I was about 20 years old and two flashes when I was about 17-18. I had not Schneider's schizophrenia symptoms.

I am quite probably the only man in the history in whose life two sequences: one arithmetical (33, 42, 51) and one geometrical (21, 42, 84) are important. These two sequences have pretty peculiar properties and I noticed it. I think that it is much larger chance to be a millionnaire than to have a special interest in two peculiar mathematical sequences.

The quotient of sum of the numbers in sequence 21, 42, 84 and sum of the digits in that sequence is 7:
21+42+84=147, 2+1+4+2+8+4=21, 147:21=7
The quotient of sum of the numbers in sequence 33, 42, 51 and sum of the digits in that sequence is 7:
33+42+51=126, 3+3+4+2+5+1=18, 126:18=7

From reading of the sequence 21, 42, 84 backwards we receive another geometrical sequence - 48, 24, 12.
The quotient of sum of the numbers in sequence 48, 24, 12 and sum of the digits in that sequence is 4:
48+24+12=84, 4+8+2+4+1+2=21, 84:21=4
From reading of the sequence 33, 42, 51 backwards we receive another arithmetical sequence - 15, 24, 33.
The quotient of sum of the numbers in sequence 15, 24, 33 and sum of the digits in that sequence is 4:
15+24+33=72, 1+5+2+4+3+3=18, 72:18=4

Numbers 7 and 4 are coincident with the date 28.4.2015 - the date of my first receiving F84.5, F42.2, F21 at the same time:
- "4" is the number meaning month,
- "7" is the quotient of the number meaning day in month and the number meaning month (28 : 4 = 7),
- product of numbers 4 and 7 is 28 - the number meaning day in the date 28.4.2015.

The three-numbered sequence which is arithmetical and starts with 21 and 42 is 21, 42, 63.
Sums of digits in that sequence are: 3, 6, 9.
From first digits of the numbers forming 21, 42, 63 the number 246 can be formed.
From second digits of numbers forming 21, 42, 63 the number 123 can be formed.
Sum of numbers 246 and 123 is 369. 3, 6, 9 again!
The sum of digits in 21, 42, 63 is 18, like the sum of numbers or digits in 3, 6, 9.
Sum of numbers forming sequence 21, 42, 63 is 126 - the same as sum of numbers forming sequence 33, 42, 51.
Quotient of sum of the numbers forming sequence 21, 42, 63 and the sum of digits forming that sequence is 7:
(21+42+63):(2+1+4+2+6+3)=126:18=7

The sequence formed by reading the sequence 21, 42, 63 backwards is 36, 24, 12.
Sums of digits in that sequence are: 9, 6, 3.
When we make that sequence ascending instead of descending, we will receive 12, 24, 36.
Sums of digits in that sequence are: 3, 6, 9.
Sum of numbers forming sequence 12, 24, 36 is 72 - the same as the sum of numbers of the sequence formed by reading the sequence 33, 42, 51 backwards - 15, 24, 33.
Quotient of sum of the numbers forming sequence 12, 24, 36 and the sum of digits forming that sequence is 4:
(12+24+36):(1+2+2+4+3+6)=72:18=4

The three-numbered sequence which is arithmetical and ends with 42 and 84 is 0, 42, 84.
Sum of digits forming that sequence is 18 and the sums of digits in the numbers forming that sequence form an arithmetic sequence (0, 6, 12):
0=0
4+2=6
8+4=12
Sum of numbers forming that sequence is 126 and sum of digits forming 0, 42, 84 is 18. 126:18=7.

The sequence formed by reading the sequence 0, 42, 84 backwards is 48, 24, 0. It is an arithmetical sequence.
Sums of digits in 48, 24, 0 form an arithmetical sequence (12, 6, 0).
Sum of numbers forming 48, 24, 0 is 72 and the sum of digits forming that sequence is 18. 72:18=4.

In last 4 years some dates were associated with marked coincidences:
1. 19.9.2014 - that day I made photos of Jewish cementery and a fragment of Catholic cementery using my smartfone, on which I saw photos of Jewish cementery and Catholic cementery made by an Aspijka, black cat was also a motiff in that coincidence
2. 7.10.2014 - that day the visit with my former psychiatrist was planned, but it was postponed
3. 14.10.2014 - memorable day, many coincidences happened then
4. 21.10.2014 - my first visit with a doctor after beginning of coincidences
5. 27.1.2015 - my first schizotypal dx
6. 14.2.2015 - coincidences with an Aspijka (not the same as in 19.9.2014) and smartphone photos (another ones, no cementeries though)
7. 28.4.2015 - BIG coincidence, my first combo of F84.5, F42.2, F21!
8. 21.7.2015 - that day I saw text: "Czarny kot potęgą jest i basta" ("Black cat is a power and that's enough), also a visit vith my former psychiatrist
9. 31.7.2015 - "koty, koty, więcej kotów" ("cats, cats, more cats") and Waneko (black image of cat)
10. 3.8.2015 - coincidences with black cats, quite massive
11. 8.8.2015 - very hot day, I learned that in Spanish wasp is avispa and bee is abeja
12. 13.11.2015 - last two digits in the date form an arithmetic sequence, that day I heard about Tesla 3, 6, 9 first time
13. 8.12.2015 - my last visit with my former psychiatrist, with whom I had visits since 2009, no 3, 6, 9 in the date of that visit after beginning of coincidences again
14. 18.12.2015 - BIG coincidences again, next members of "Tesla's arithmetic sequence" are formed by two last digits in the date
15. 4.4.2016 - my first day in day hospital, from the date four-membered arithmetical sequence can be formed: 0, 2, 4, 6
16. 20.4.2016 - first programme of my group with me in day hospital, on one of posters there was... black cat (yes, black cat again), from the date four-membered arithmetical sequence can be formed: 0, 2, 4, 6
17. 27.4.2016 - programme about animals in day hospital, there was a book with black cat and two films with Reksio dog in which cats were present, they were about pigeon and UFO (coincidence with Tesla and one of Aspijkas)
18. 11.5.2016 - second programme in day hospital with my participation, there was large poster with The Little Mole and quiz with cat, squirrel, pigeon and hedgehog
19. 24.6.2016 - BIG coincidence, I ended my first going to day hospital, diagnoses were: F84.5, F42.2, F21, F65.8
20. 5.7.2016 - last digits sorted ascendingly form an arithmetic sequence with sum 18, like in 3, 6, 9; I might be diagnosed with "miraculous" combo that day
21. 25.8.2016 - big coincidence with "gatyok", squirrel and swimming in the pool
22. 30.9.2016 - diagnoses of F21, F42.2 and F84.5, the sum of digits in the date is 21 and 3, 6, 9 can be formed
23. 8.11.2016 - beginning of my second going to day hospital, four-membered arithmetical sequence can be formed from that date: 6, 8, 10, 12
24. 13.1.2017 - I heard about "squirrel in head" in main hall in the day hospital
25. 27.1.2017 - end of my second going to day hospital, two 21.7 can be formed from the digits of the date, I was diagnosed with F32.1 instead of F42.2 (3, 2, 1 - arithmetic sequence which quotient of the digits is the same that their sum)
26. 19.4.2017 - I did not guess about the hedgehog in day hospital (I was a guest, not a patient)
27. 27.4.2017 - the beginning of my third going to day hospital
28. 15.5.2017 - coincidence with the initials and journal
29. 21.7.2017 - I got the certificate needed to get ruling of disability from the psychiatrist, on it there were F84.5, F42.2, F21, the date is obviously coincident with 21.7
30. 24.7.2017 - end of my third therapy in a day hospital (other than associated with two earlier goings)
31. 31.7.2017 - three prime numbers in the date and the sum 21, F84.5, F42.2, F21 as diagnoses
32. 11.13.2017 - relatively weak coincidence, three prime numbers in the date
33. 16.4.2018 - LARGE coincidence with "Kot mruczy, a krowa muczy" ("Cat purrs, and cow moos"), Kowno i Grodno (Kaunas and Hrodna), "krowno" (my neologism for cow excrement) and "Kot - po niemiecku znaczy to "kał"" ("Kot - in German it means "feces"");
34. 6.4.2018 - coincident combo again, sum of digits - 21, five-membered arithmetic sequence can be formed.

16.4.2018 - coincident date. 4 and 16 are second and fourth powers of 2. From that date we can separate five numbers which are natural powers of 2:
- 16 is 2^4
- 4 is 2^2
- 2 is 2^1
- 1 is 2^0
- 8 is 2^3
These numbers formed ascendingly or descendingly form a five-numbered geometrical sequence! 1, 2, 4, 8, 16.
Interesting arithmetical sequences can be formed from 16.4.2018:
- 0, 2, 4, 6, 8 (may have 10 as sixth term when we write the date as 16.04.2018)
- 0, 4, 8, 12, 16 ("engages" all digits in the date)
- 0, 6, 12, 18
- 0, 8, 16, 24

Weaker coincidences are present in the case of the date 4.6.2018. The sum of digits is 21. 21 can be formed (from digits in number meaning year). If we remain only last digits of th date, we will receive 4, 6, 8 - "Tesla-like arithmetical sequence".

Sum of numbers in codes: F21, F42.2, F84.5 is 154 (21+42+2+84+5). It is the sum of numbers in geometric sequence 22, 44, 88. Sum of digits in the codes is 28 (2+1+4+2+2+8+4+5). It is the sum of digits in geometric sequence 22, 44, 88 (2+2+4+4+8+8). Sum of products of digits of the sequence 22, 44, 88 is 84 (2*2+4*4+8*8=4+16+64). 84 is the largest member of "miraculous" geometrical sequence.

Differences of numbers in the codes: F21, F42.2, F84.5 are: 21(-0), 42-2, 84-5 --> 21, 40, 79. The sum is 140. It is the sum of numbers in geometric sequence 20, 40, 80. 2+1+(4+2-2)+(8+4-5)=3+4+7=14. 14 is the sum of digits in the sequence 20, 40, 80.

"Middle" diagnosis in the group formed by F21, F42.2, F84.5 is F42.2. The result of multiplication of numbers 42 and 2 is 84 (42*2) and the result of division of that numbers is 21 (42:2). 84 and 21 are members of "miraculous" sequence.

21, 42, 84 and its descending counterpart 84, 42, 21 are (at least probably) the only geometrical sequences which produce geomtrical sequences formed by natural numbers when digits forming these numbers would be added, subtracted, multiplicated and divided:
2+1=3, 4+2=6, 8+4=12; 3, 6, 12 - geometrical sequence formed from natural numbers (qoutient 2)
2-1=1, 4-2=2, 8-4=4; 1, 2, 4 - geometrical sequence formed from natural numbers (quotient 2)
2*1=2, 4*2=8, 8*4=32; 2, 8, 32 - geometrical sequence formed from natural numbers (quotient 4)
2:1=2, 4:2=2, 8:4=2; 2, 2, 2 - constant geometrical sequence formed from natural numbers (quotient 1)

11, 22, 44 and 22, 44, 88 do not form geometrical sequences when the digits forming that sequences are subtracted, they form constant arithmetical (but not geometrical) sequence - 0, 0, 0 [although some may consider 0, 0, 0 as geometrical sequence, but I think that it is not proper.

These coincidences may be vieved as the proof of existence of supernatural beings. They are numerous. It is not one coincidence or two. It is complicated "network". Someone might consider them as extensive delusional system. If I would be diagnosed with (paranoid) schizophrenia (F20(.0)) instead of schizotypal disorder (F21), there would be no "miraculous" geometrical sequence 84, 42, 21. In Polish AS forum there was a person who write above well above 100 posts and had the login F21 (not F20 or F22). That person formed account in 2015, the year in which I received F21 diagnosis first time. The combo F84.5, F42.2, F21 was written in many "excerpts" from my ambulatory visits with psychiatrists, first time these 3 diagnoses appeared together (as only 3 diagnoses which I got) 28.4.2015. The date is strongly coincident with three diagnostic codes.

I noticed something interesting about date 28.4.2015. It was 118th day in 2015 year. At 2015 there was also one another date composed by the same digits and with the same sum of numbers - 24.8.2015. Between 28.4.2015 and 24.8.2015 there were 118 days and 24.8.2015 was 236th day in 2015 year.

Next dates which have at least two digits "2" and at least one digit "1", "4", "5" and "8" and have the number meaning day divisible by the number meaning month are 28.4.2051, 24.8.2051, 14.2.2058, 12.4.2058. Digits forming numbers meaning day and month sorted ascendingly or descendingly will form geometrical sequences with sums 14 or 7: 2, 4, 8 (8, 4, 2) and 1, 2, 4 (4, 2, 1).

https://wrongplanet.net/forums/viewtopi … 5#p8015996 - today I posted in "counting topic" on WP forum first time since quite much time. The number which I typed was coincident. It was 42,714. From that number 42, 7, 14 (three numbers divisible by 7) can be formed. 42 is the middle term of my two very coincident sequences - arithmetical 33, 42, 51 and geometrical 84, 42, 21. 42 is (21:7)*(21-7). 14 is 21-7 (the difference of 21 and 7) or (21+7):2 (arithmetical mean of 21 and 7).

I do not have mood disorders such as mania or depression.
I have "suspiciousness" since being about 16 years old. Before the coincidences onset I had very few ideas of reference associated with mysterious object (probably meteorite, asteroid, comet or (part of the) satellite) which fell from the sky 31.08.1997 (last day before my first day in school) and road accidents near my home (in which nobody was hurt although they look as really dangerous).
Coincidences do not look to be OCD symptoms because they are generally pleasant and fascinating, not "intrusive" or suffering-causing.
I also did not use LSD, hallucinogenic mushrooms or other narcotics.

Why 21.7 and 3, 6, 9 are so important for me? 21.7 is associated with geometrical sequences, 3, 6, 9 with arithmetical ones. The smallest non-constant geometric sequence formed by natural numbers only is 1, 2, 4 (or its descending counterpart 4, 2, 1). The sum of numbers in that sequence(s) is 7.
The smallest number which is the sum of more than one geometrical sequence formed by natural numbers only is 21.
21=7+7+7 (quotient 1, constant geometrical or arithmetical sequence)
21=3+6+12 (quotient 2)
21=1+4+16 (quotient 4)
Sum of quotients of these three ascending geometrical sequences is 7.
Sums of the smallest three-membered non-constant arithmetical sequences formed by natural numbers only are 3, 6 and 9.
0+1+2=3
0+2+4=6
0+3+6=9
1+2+3=6
1+3+5=9
2+3+4=9

Let's sum up informations about 21.7 coincidence - part 1:
1. My first ambulatory visit with the psychiatrist (my former one) after onset of coincidences occurred 21.10.2014 and was postponed from 07.10.2014. 21st and 7th day of the month.
- the number meaning month is the sum of digits in numbers 21 and 7 (2+1+7=10),
- sum of digits in number meaning year is 7 (2+0+1+4=7),
- there are 2 weeks (14 days) between initial and later term of the visit,
* numbers 2 and 14 can be separated from the number meaning year (2014),
* product of numbers 2 and 14 is 28, which is the sum of 21 and 7,
- from the number meaning year a geometrical sequence with sum of numbers 7 can be formed: 1, 2, 4,
- from the number meaning year an arithmetical sequence with sum of numbers 3 (21:7) can be formed: 0, 1, 2.
2. My second visit with a psychiatrist after beginning of the coincidences occurred 27.1.2015, the sum of numbers meaning day and month is 28 (21+7), numbers meaning day and month are formed by the same digits as 21 and 7.
3. My first visit during which I received diagnoses F21, F42.2, F84.5 at the same time together (and only them) occurred 28.4.2015.
- the number meaning day is the sum of numbers 21 and 7,
- the quotient of number meaning day and number meaning month is 7 (28:4),
- from the digits of numbers meaning day and month a geometrical sequence can be formed (2, 4, 8 ), its sum is 14 (21-7 or arithmetic mean of 21 and 7)
4. Sum of numbers in the sequence 21, 42, 84 is 147 (21*7).
5. Sums of digits in numbers 21, 42, 84 form geometrical sequence with sum 21 (3, 6, 12) and differences of digits form geometrical sequence with sum 7 (1, 2, 4).
6. Sum of digits in first part of codes F84.5, F42.2, F21 is 21 (8+4+4+2+2+1=21) and in second parts sum of digits is 7 (5+2).

Part 2 about 21.7:
7. Next visit with my former psychiatrist after that from 28.4.2015 took place 21.7.2015.
8. Seventh (7th) member of arithmetical sequence starting from 3, 6, 9 is 21.
9. If we count 0 as a triangular number ("empty triangle"), 7th triangular number would be 21; if we not count 0 as a triangular number (TN), 7th TN would be 28 (21+7).
10. Sum of numbers in arithmetical sequence 33, 42, 51 divided by arithmetical mean of arithmetical sequence 3, 6, 9 is 21 ((33+42+51):((3+6+9):3))=126:(18:3)=126:6=21) and sum of numbers in arithmetical sequence 33, 42, 51 divided by sum of numbers of arithmetical sequence 3, 6, 9 is 7 ((33+42+51):(3+6+9)=126:18=7).
11. Difference between sum of numbers in geometrical sequence (GS) 21, 42, 84 and sum of numbers in arithmetical sequence (AS) 33, 42, 51 is 21 ((21+42+84)-(33+42+51)=147-126=21), difference between arithmetical mean of  GS 21, 42, 84 and arithmetical mean of AS 33, 42, 51 is 7 (((21+42+84):3)-((33+42+51):3)=(147:3)-(126:3)=49-42=7), difference between sum of digits in GS 21, 42, 84 and sum of digits in AS 33, 42, 51 is 3 (21:7) ((2+1+4+2+8+4)-(3+3+4+2+5+1)=21-18=3).
12. My second going to a day hospital ended 27.1.2017 (from the digits of that date two numbers 21 and two numbers 7 can be formed, sum of numbers meaning day and month is 28 (21+7)).
13. I got certificate needed to apply for ruling of level of disability from a psychiatrist 21.7.2017 (two 21.7 phrases can be formed from that date), on that certificate F84.5, F42.2, F21 were mentioned.
14. My third full-term going to (another) day hospital started 27.4.2017 and ended 24.7.2017, these two dates are "constructed" by the same digits and have the same sum of numbers, from that dates three (21:7=3) three-term ascending arithmetical sequences with sum 21 and arithmetical mean 7 can be formed (0, 7, 14; 2, 7, 12; 4, 7, 10).
15. I experienced large coincidence 16.4.2018, from that date a geometrical sequence with sum 21 and arithmetical mean 7 can be formed (1, 4, 16), if we sort first (meaningful) digits in that date descendingly or ascendingly, we will receive arithmetical sequences with sum 7 (4, 2, 1 or 1, 2, 4), from the digits in that sequence number 21 can be formed.

So it looks that there are other people who experienced many coincidences in their lives. But are they diagnosed with psychosis due to it? How many people had coincidences associated with geometrical or arithmetical sequences in own life? Why my coincidences "exploded" quite suddenly in autumn 2014? I did not get any medications when my coincidences started for some weeks, if I remember it well.

How much people were at the same time diagnosed with these three disorders:
- F84.5 (Asperger's syndrome, a pervasive developmental disorder)
- F42.2 (mixed obsessive-compulsive disorder)
- F21 (schizophrenia-type (schizotypal) disorder)
I was diagnosed with only these three together quite many times in my life during ambulatory visits with psychiatrists.

Big coincidence from 28.4.2015 would not happen when I would be diagnosed with (paranoid) schizophrenia (F20(.0)) that day or Asperger's syndrome would have code F84.2 or F84.4 in the ICD-10. Are there another people who were diagnosed with F84.5, F42.2, F21? If yes, do they wrote in the Internet about coincidences formed by numbers in diagnostic codes of the disorders? If I remember it well, I told my former psychiatrist about the geometrical sequence formed by numbers in ICD-10 codes quickly after receiving these three diagnoses.

I think that I got F21 diagnosis due to coincidences. If there are another people with F21-F42-F84 combination, are they having diagnosis of F21 due to coincidences which they have? And did they write about their coincidences in the Internet like I?
Before sudden onset of coincidences in IX 2014 I had small amount of coincidences in my life, for example I might think about apple and heard that word a moment after. I (at least rather) do not subscribe delusional ideas to them.

Last time I noticed another large coincidence associated with the date 13.11.2015 (it was the day when I (most probably) heard about Tesla's 3, 6, 9 first time in my life).
Numbers formed by last two digits in that date are 13, 11 and 15. These numbers sorted ascendingly or descendingly will form an arithmetical sequence: 11, 13, 15 or 15, 13, 11. Sum of first digits in that sequences is 3 (1+1+1) and sum of second digits is 9 (1+3+5). The difference between sum of second digits and sum of first digits is 6 ((1+3+5)-(1+1+1)=9-3=6). First digits form constant arithmetic sequence (1, 1, 1) and second digits form another arithmetic sequence (1, 3, 5 or 5, 3, 1).
Sum of numbers forming 11, 13, 15 sequence is 39. The number 39 is formed by the smallest and the largest member of "Tesla's arithmetic sequence". Difference between larger digit in 39 and smaller digit in that number is 6. In addition, arithmetic mean of 3 and 9 is 6.
Sums of digits in 11, 13, 15 sequence are 2, 4, 6. They form arithmetic sequence in which the largest number is 6 and the smallest term is three times smaller than the largest.

My first coincidences were associated with cementeries. On the cementery in which my maternal grandfather was buried his graves are between graves of men probably from the same locality who died 7 days before my grandfather or 7 days after. Grandfather died 13.12.2014. These two men died 6.12.2014 and 20.12.2014. These three dates are coincident with 21.7 and 3, 6, 9.
Sums of digits in these three dates together is 42 (6+1+2+2+0+1+4+1+3+1+2+2+0+1+4+2+0+1+2+2+0+1+4).
Sums of digits in numbers meaning year is 21 ((2+0+1+4)*3=7*3=21). There are three numbers 2014 in these three dates together. In addition, from the number meaning date a geometrical sequence with sum 7 can be formed (1, 2, 4) and an arithmetic sequence with sum 3 can also be formed (0, 1, 2).
Sum of digits in numbers meaning day and month in these three dates together is 21! 6+1+2+1+3+1+2+2+0+1+2
Sum of numbers meaning month in these three dates is 12*3 -> 36. 3+6=9.

I noticed something coincident about today's date: 27.09.2018. Last two (or one, if we write number meaning month as just 9) digits in the numbers meaning day, month and year form an arithmetical sequence in which 9 is the smallest term and the common difference of that sequence is 9! Numbers should be sorted ascendingly to receive 9, 18, 27. 9 is 3*3, 18 is 6*3 and 27 is 3*9. It is the only such a date in the entire century! Today I thought much about coincidences associated with arithmetical sequences with the sum of numbers 39 and the sum of digits 12. 39-12=27=3*9=3*3*3.
Today I noticed arithmetical sequence formed by last two digits in the date 13.12.2014. If we sort numbersd formed by these digits ascendingly or descendingly, we will receive arithmetical sequence (12, 13, 14 or 14, 13, 12). Sum of numbers forming that sequence is 39 and sum of digits is 12. Third arithmetic sequence with that property! Two other are 6, 13, 20 and 11, 13, 15.
Products of digits in the sequence 12, 13, 14 form an arithmetical sequence with the sum 9:
1*2=2
1*3=3
1*4=4

From all three dates: 6.12.2014, 13.12.2014 and 20.12.2014 two numbers 21 can be formed and sum of all digits in these three dates together is 21*2 (42).

Products of digits in the sequence 11, 13, 15 form an arithmetical sequence with the sum 9:
1*1=1
1*3=3
1*5=5
Two last digits in the date 18.12.2015 form numbers which make an arithmetic sequence with common difference 3 when sorted ascendingly: 12, 15, 18. Sum of numbers in that sequence is 45. The sequence 11, 13, 15 has the sum of numbers 39. 45=39+6.

6, 13, 20 and 11, 13, 15 connection:
- 6 is the sum of digits of the largest member of 11, 13, 15 or sum of digits of two smaller members of that sequence (1+1+1+3) or sum of digits in numbers meaning day and month in 13.11.2015,
- 13 is the number meaning day in month in 13.11.2015,
- 20 is the number which "stays" after selecting two last digits in numbers meaning day, month and year in 13.11.2015
- both arithmetic sequences have the same sum of digits (12)
- both sequences have the same sum of number (39).

It is the only such a date in the entire century!

It was about 27.9.2018. I made an error, I am not infallible. There is another so coincident date in 21st century - 18.9.2027. In the case of that date the arithmetical sequence 9, 18, 27 also can be separated.

Ascending geometrical sequence ending at 21 and 42 has an interesting property. It starts on number 10,5. Sum of numbers 10,5, 21, 42 is 73,5. The number 73,5 is formed by three digits which sorted ascendingly form an arithmetical sequence. It is unique arithmetic sequence - all its members are additive prime numbers (3, 5, 7) and the common difference (2) is also an additive prime number. In addition, number 357 is divisible by 21. 357=21*17.

I experienced some football coincidences in my life. Some were associated with "Mil-" part of the words, (sur)names, some with Iceland, Ireland and Scotland.

I found interesting topic in the Internet: https://www.reddit.com/r/Paranormal/com … ncidences/
Author of it writes:

For the last 3 years I have had endless amounts of coincidences, sometimes as many as 15-20 a day. The most common form is a word I am thinking or reading matching up with someone saying it on TV or in music. I have had many distinctive times where I am texting and the word I am actively typing is said at the same time or within 1 or 2 seconds max. I have been able to point it out on many occasions to people who I am with at the time. By no means has it caused me any harm but it does mess with my head a fair amount. Three years ago I had a seizure and was diagnosed with epilepsy at the age of 28. I have only had the one seizure in my life and these coincidences have only started happening since. The only trigger I have noticed that increase the incidences is stress. If anyone has had similar events it would be nice to have someone else to talk to who can relate a bit.

For me it does not look as the result of mere mathematical chance or symptom of schizophrenia or schizotypal disorder, but like genuine supernatural phenomenon. 15-20 coincidences per day is really much - before the onset of my multiple coincidences I had only about one per six months or maybe even year.

From reading the sequence 84, 42, 21 backwards we receive a geometrical sequence (GS) - 12, 24, 48.
Aritmetical mean of 12, 24, 48 is 28 (84:3).
The sum of digits in that sequence is 21 (as in the case of 84, 42, 21) and the sum of numbers is 84. 84:21=4.
4 - quotient of sum of numbers and sum of digits.
28.4 - that day I received diagnoses of F84.5, F42.2, F21 together first time in my life. It was in 2015 year. 28.4.2015 appears to be the best day to being diagnosed with positions from F84, F42, F21 first time in life!
In the date 28.4.2015 there are two numbers 2 and one numbers 1, 4, 5, 8.
21 or 42.2 or 84.5 can be formed from that date.
Next dates with:
- the possibility of forming 21 or 42.2 or 84.5 (all these three separately),
- number meaning day divisible by number meaning month (or vice versa),
- possibility of forming a geometrical sequence from digits of numbers meaning day and month
would be 28.4.2051, 24.8.2051, 14.2.2058, 12.4.2058.
28.4 - let's sort the numbers descendingly or ascendingly - we will receive 2, 4, 8 (GS with sum 14 (21-7)).
24.8 - 2, 4, 8. Sum 14. 21-7.
14.2 - let's sort the numbers descendingly or ascendingly - we will receive 1, 2, 4 (GS with sum 7)
12.4 - 1, 2, 4. Sum 7.
14+7=21. 14 and 7 written together form 147 and 147 is 21*7 or 21+42+84.

28.4.2015 might be the best date for receiving F21, F42.2, F84.5 combo in the entire time of ICD-10.
28 is 21+7.
28 is divisible by 4 and the result is 7.
Digits from 28 and 4 sorted ascendingly form a geometrical sequence with the sum 21-7 (14).

12, 24, 48. Members of that sequence divided by sum of digits in them form a constant geometrical and arithmetical sequence with sum 12 and term 4:
12:(1+2)=12:3=4
24:(2+4)=24:6=4
48:(4+8)=48:12=4
Arithmetic mean of that sequence is of course 4.

12 and 4 is somewhat interesting pair of numbers:
(1+2)*4=3*4=12 (absolute value of 12 is, of course, 12)
(1-2)*4=(-1)*4=-4 (absolute value of -4 is 4)
(1*2)*4=2*4=8 (arithmetic mean of 12 and 4)
(1:2)*4=0,5*4=2
Sum of 12 and -4 is 8 and it is arithmetic mean of numbers 12 and 4.
Sum of absolute values of 12 and -4 is 16 and is the same as sum of 12 and 4.

21+42+84=147, 2+5=7 <147.7> from numbers in codes F84.5, F42.2, F21. 147 and 7 are divisible by 7.
147+7=154; 22+44+88=147
147-7=140; 20+40+80=140
147:7=21; 3+6+12=21
147*7=1029; 147+294+588=1029
147=21+42+84;
7=1+2+4;
(147+7):2=154:2=77; 11+22+44=77

2+1+4+2+8+4=21, 2+5=7 <21.7> from digits in codes F84.5, F42.2, F21. 21 and 7 are divisible by 7.
21+7=28; 4+8+16=28
21-7=14; 2+4+8=14
21:7=3; 1+1+1=3 (3 is not divisible by 7, sequence 1,1,1 can be formed from quotients of digits of numbers of geometrical sequences 11, 22, 44 or 22, 44, 88)
21*7=147;
21=3+6+12;
7=1, 2, 4;
(21+7):2=28:2=14; 2+4+8=14

15.05.2017 I experienced strange coincidence in a day hospital (Polish: oddział dzienny). It was noon. A person who "had classes" (Polish: miała zajęcia) with patients gave them magazines.
Probably before getting a magazine I thought about initials (first letters of name and surname), also of that person. Almost after thinking about that I got the magazine on which there were two words written at the cover, which words have significantly larger first letters than next letters.
These two letters were initials of the person who "led" (Polish: prowadziła) classes!
In addition, the number of letters in first of these words was the same as in her name (and last letter was also the same) and four first letters of second word were the same as in her surname.
I suppose that chance for a person from my country to meet these criteria in her name and surname are about 1:1000 000 (one to million)!

The sum of digits in the date 15.5.2017 is 21 (and in it are 7 meaningful digits (not counting 0 from the number meaning month, which can be omitted)) and the sum of numbers in the date is divisible by 21 (15+5+2017=2037, 2037=21*97).

6.12.2014, 13.12.2014, 20.12.2014 - numbers meaning day of month in these dates form an arithmetical sequence with common difference 7. There are three numbers in that sequence, difference between the largest number and the smallest is 14 (21-7).
If these three dates would be 7.12.2014, 14.12.2014, 21.12.2014, then coincidence with 3, 6, 9 might be weaker. Sum of digits in numbers meaning days would be 15, not 12, and sum of digits meaning day and month together would be 24, not 21. I think that 6.12.2014, 13.12.2014, 20.12.2014 are more coincident with 3, 6, 9 than with 21.7. 7.12.2014, 14.12.2014, 21.12.2014 appear to be more coincident with 21.7 than with 3, 6, 9. Number 39 starts with 3 and ends with 9 and has 6 as arithmetical mean of its digits, like "Tesla's arithmetical sequence" (TAS) - 3, 6, 9. 39 is the sum of 6, 13 and 20. 6 is one of members of 6, 13, 20 arithmetical sequence and it is also a member of TAS. Product of sum of numbers in 6, 13, 20 (39) and sum of digits in that numbers (12) is 468. Digits of number 468 form an arithmetical sequence which has sum of numbers 18 and 6 as middle member or arithmetical mean - like in TAS. Product of 42 and 15 is 630, the sum of digits is 9 and digits form an arithmetical sequence with common difference 3.

I think that 7.12.2014, 14.12.2014, 21.12.2014 would be more coincident in general than existing coincidence associated with 6.12.2014, 13.12.2014, 20.12.2014. 7, 14, 21 gives large coincidence with 3, 6, 9. But the coincidence with 13.11.2015 (the day on which I heard about Tesla's 3, 6, 9, probably first time in my life), where an arithmetical sequence associated with two last digits in the numbers of the date would disappear if three coincident dates would be 7.12.2014, 14.12.2014, 21.12.2014, also the date of grandfather's death would not be coincident in its two last digits meaning day, month and year when it would be 14.12.2014, not 13.12.2014. Biggest Tesla's coincidence in my life was associated with two last digits of the numbers meaning day, month and year in the date 18.12.2015. There are only two dates so coincident in 21st century (and any other century). Next so coincident date would be 15.12.2018. Chance for such a coincidence is about 1:18300.

Three arithmetical sequences with sum of numbers 39 and sum of digits 12 were coincident:
- 12, 13, 14 in the date of grandfather's death,
- 6, 13, 20 in the dates of deaths of three men (probably from the same locality) whose graves are side by side on one cementery [I probably thought about the word "tomb" a moment earlier and I found such a phrase in one of pages when I looked for translation of Polish phrase "obok siebie": Henry and I sleeping side by side like figures on tombs.]
- 11, 13, 15 - the date when I, probably listening or watching an audition on 84th channel of satellite TV, heard about Tesla's 3, 6, 9.

valkosipuli nca14 napisał:

7, 14, 21 gives large coincidence with 3, 6, 9

Sorry, there should be 21.7, although 7, 14, 21 is somewhat coincident with 3, 6, 9 also:
- sum of numbers is 42, sum of digits in 42 is 6 and arithmetical mean of digits is 3; 42 and 6 is a pair of numbers which has the same sum of numbers (42+6) as product of the digits forming these numbers (4*2*6),
- sum of digits is 15, sum of digits in 15 is 6 and arithmetical mean of digits is 3 (as in 42).

From common differences (CDs) of arithmetical sequences: 6, 13, 20 (CD 7); 11, 13, 15 (CD 2); 12, 13, 14 (CD 1) phrase "21 7" can be formed.

Sum of products of digits forming three sequences mentioned earlier is 39:
- 6*1*3*2*0=0
- 1*1*1*3*1*5=1*3*5=15
- 1*2*1*3*1*4=2*3*4=24
0+24+15=39.
39 is the sum of any of sequences mentioned earlier.

84, 42, 21 and the sequence formed by reading its backwards: 12, 24, 48 have interesting feature associated with results of division of its members by sum of digits in these members:
84:(8+4)=84:12=7
42:(4+2)=42:6=7
21:(2+1)=21:3=7
7+7+7=21. Sum of that constant geometrical and arithmetical sequence is 21, single member or arithmetical mean of the members of the sequence is 7. So we have 21 and 7.
12:(1+2)=12:3=4
24:(2+4)=24:6=4
48:(4+8)=48:12=4
4+4+4=12. Sum of that constant geometrical and arithmetical sequence is 12, single member or arithmetical mean of the members of the sequence is 4. So we have 12 and 4.
Both pairs of numbers (21 7 and 12 4) have arithmetical mean which is the product of digits forming that numbers:
(21+7):2=28:2=14, 2*1*7=14;
(12+4):2=16:2=8; 1*2*4=8.
In addition:
(2+1)*7=3*7=21;
(1+2)*4=3*4=12.
21 is 12 read backwards, 12 is 21 read backwards.

Sum of products of digits in numbers forming 11, 13, 15 arithmetic sequence is 9:
(1*1)+(1*3)+(1*5)=1+3+5=9 (in addition products form an AS with AM 3).
Sum of products of digits in numbers forming 12, 13, 14 arithmetic sequence is 9:
(1*2)+(1*3)+(1*4)=2+3+4=9 (in addition products form an AS with AM 3).
Sum of six products of two three-membered ASes mentioned above is 18 (3+6+9).

6, 13, 20 - here the situation is more complicated. 6 is an one-digit number, so it do not have product of digits. If we leave 6 as 6 and make products of digits from two next numbers (13 and 20), an AS will be formed (descending one):
6+(1*3)+(2*0)=6+3+0=9 (sum again is 9, sum of products of numbers or one-digit number for the sequence 6, 13, 20 and sum of products of two ASes mentioned earlier is 9+9+9=27-3*3*3). CD of the sequence 6, 3, 0 is (-3).

If we write number 6 as two-digit combination 06, the product of digits in the sequence 06, 13, 20 would be 3:
(0*6)+(1*3)+(2*0)=0+3+0=3 (the sum of products of digits in numbers of the sequences: 06, 13, 20; 11, 13, 15; 12, 13, 14 is 3+9+9 -->21, there are 7 products which are not zeros).

The sequence 6, 13, 20 read backwards would be 02, 31, 6. If we treat 02 as 2, the sum of these three numbers will be 39! 39 is also the sum of sequence 06, 13, 20.
02+13+20=39, 06+13+20=39
In addition, the sum of sequence 06, 13, 20 read backwards is 93 (the same digits as in 39 (and the same AM of the sum of sequence read backwards as in the case of number 39), but read backwards!):
02+31+60=93. In addition, 02, 31, 60 is an AS (with CD 29).

Does the sequence 7, 14, 21 give some sort of similar phenomenon? Let's check:
7+14+21=42. 07, 14, 21 - backwards 12, 41, 70 - AS with CD 29 (the same as CD of 02, 31, 60). Products of digits in numbers forming 12, 41, 70 sorted ascendingly form an AS with CD 2:
(1*2)+(4*1)+(7*0)=2+4+0; 0, 2, 4 - an AS. 
Let's read the sequence 7, 14, 21 backwards: 12, 41, 7. Sort ascendingly: 7, 12, 41. No AS or GS. Sum of three numbers is 60.
Let's sum numbers from the sequence 7, 14, 21. We receive 42. Let's sum the numbers in sequence 07, 14, 21 read backwards. 12+41+70=123. 123=60+63. Sum and product of digits forming number 123 is 6. Sum of digits in number 63 is 9 and product of digits forming that number is 18 (3+6+9). "Reference" to 3, 6, 9 is present in the case of 7, 14, 21, but is not so striking as "mirror numbers" 39 and 93 in the case of 06, 13, 20; 02, 31, 6 and 02, 31, 60.
So let's read the sequence 6, 13, 20 backwards: 02, 13, 6. Sort ascendingly: 2, 6, 13. No AS or GS. Sum 19.

ASes 11, 13, 15; 12, 13, 14 read backwards form another ASes - 51, 31, 11; 41, 31, 21. Sums of numbers in that ASes are 93.
"Original" ASes have sums of numbers 39.

In the case of ASes with three numbers and 14 as AM the phenomenon of "mirror numbers" as sum of numbers forming the sequences is not present:
10, 14, 18. Sum 42. Backwards: 81, 41, 01. Sum 123.
11, 14, 17. Sum 42. Backwards: 71, 41, 11. Sum 123.
12, 14, 16. Sum 42. Backwards: 61, 41, 21. Sum 123.
13, 14, 15. Sum 42. Backwards: 51, 41, 31. Sum 123.
14, 14, 14. Sum 42. Backwards: 41, 41, 41. Sum 123.
Difference between 123 and 42 is 81 (9*9, 3*3*3*3). Sum of digits in sums of three numbers forming such an AS is 6.

Today at 5:36 p.m. (in time zone which is in Poland) I typed in Google the word (X) which means female of certain animal in Polish language. At 5:38 p.m. I noticed the same word in first definition of certain word (Y) in one of Internet dictionaries. That certain word (Y) was English-like pronunciation of a Russian word. Word X has almost the same pronunciation and transliteration in Polish and Russian. Earlier after 5 p.m. I used Google translator for Russian text. Today I also typed word Z (very similar to Y, also a transliteration of Russian pronunciation) with the word russian together in Google andon the first page with result word X was present!

Yesterday (14.10.2018) about 11.30 p.m. I saw on YouTube encounter with big something which looks like fragment of certain region of body. It was described as Big (Something). Earlier I had fantasies about encounter with similar (larger region, which contains the part present in the encounter on YouTube) part of the body in very similar game and I "named" that enconter "Wielka (W)" ("Big (W)") (W is here the letter symbolizing certain word, like X, Y, Z earlier). These fantasies were present for example in  job. That game in which the encounter seen on YouTube was present was... Russian. The game was bad and containing many dangerous content.

During encounter mentioned earlier there was text consisting of two letters repeated many times present on the screen. These two letters were two first letters of impolite word meaning that part of body in which something resembling big W is located!

In addition, there was certain thing, item (let's name it V) which could be found during that encounter. 18.10.2018 I typed "V w (fragment of that region of body)" ("V in the (fragment of that region of body)") in Google translator. There was translation from Polish to English. Next I typed a transliteration of Russian term meaning a creature from Russian game mentioned earlier in Google. There were 23 results. In the third link (its description) there was present Polish word for V. Next I found the English word for V in Polish page about something which was some form of English language. Next day, 19.10.2018, new coincidence with V happened. I thought about V from the Russian game in a large shop and few moments later I heard two "advertisements" of two certain Vs! Today, 21.10.2018, I noticed that two first letters of Polish term for V and three last letters of that term form a word which is a part of the Polish name of the monsters which I saw in Russian game 14.10.2018. Fight with that monsters was observed in next film or films with playing of that game after the film with "Big W" encounter.

22.10.2018 I had next coincidence with V. I was in the same shop as I was 19.10.2014 and I thought about V, some moments later (if I remember it well) I heard advertisement (or something similar) about two Vs. Big W encounter and V in it are associated with a film which I at least partly watched in adolescence, it was one of quite few films which I watched in TV.

Today I typed phrase "21 42" 84 in Google and second result was about one of my topics from a Polish forum. In addition, in fifth link there was the word "Autism".

I also saw results of image finding in Google for the word cats, second image in results has the appearance of a black cat and was a link to the page entitled "Nikola Tesla's Cat and Other Feline Fascinations". Black cat, Nikola Tesla, fascination - it is coincident for me. A person with nick fasci-nation in Polish AS forum wrote a comment on own blog (now not available) in which that person concluded that Tesla would be diagnosed with AS or OCD. I was diagnosed with AS and OCD and had coincidences associated with Tesla and fasci-nation and black cat. Tesla could be supposed to have schizotypal personality or schizophrenia, I had diagnoses of schizotypal disorder or schizophrenia in my life.

Coincidence about three arithmetical sequences with sum of numbers 39 and sum of digits 12 is quite large. Sequence: 6, 13, 20 has interesting property: sum of digits in two-digit numbers (13 and 20) is 6 (and 6 is only one-digit member in that sequence), in addition, digits of numbers 13 and 20 sorted ascendingly or descendingly will form four-membered arithmetical sequence: 0, 1, 2, 3.

There is also another interesting phenomenon associated with three sequences: 11, 13, 15; 12, 13, 14; 6, 13, 20 - sum of single digits which at least once occur in numbers forming that sequence is 21! And there are 7 such a digits which, more interestingly, form seven-membered arithmetical sequence! 0, 1, 2, 3, 4, 5, 6.

Yesterday and today I saw words Nikola Tesla's Cat and Other Feline Fascinati in Google. Today it was below third picture in results for phrase cats in Google. It was first picture with BLACK cat in search results.


A black cat, like this one, inspired Tesla's fascination with electricity. OLIVER MOGGRIDGE/EYEEM/GETTY IMAGES

Tesla, fascination, black cat!

There is triad of coincident sequences:
- 12, 13, 14
- 11, 13, 15
- 6, 13, 20.
There are 3 arithmetical sequences. In these sequences are together 9 numbers. Sum of numbers in any of these sequences is 39 and sum of digits in these three sequences is 12 (3+9). Number 6 is a "misfit" among nine numbers mentioned earlier because it is one-digit number, not two-digit. The number of digits in two of these three sequences is 6 and in one of them there is 5 digits due to one-digit "misfit" - 6. The number of digits in these three sequences together is 17, not 18 (3+6+9) due to one-digit number 6.

Most coincident with Tesla's 3, 6, 9 date was 18.12.2015. Last two digits form numbers which sorted ascendingly form an arithmetic sequence - 12, 15, 18. Sums of digits in these 3 numbers are: 3, 6, 9!

Three coincident dates are associated with the cementery:
- 6.12.2014,
- 13.12.2014,
- 20.12.2014.

In above three dates there are together 7 digits 2 and 7 digits 1.
Sum of digits 2 in these three dates together is 14.
Sum of digits 1 in these three dates together is 7.
Sum of 14 digits mentioned above is 21.
The sum of digits 2 is two times larger than sum of digits 1. It was in 2014 year.
Number of digits 7 in the dates mentioned above is 0. It was in 2014 year.

Dates:
- 7.12.2014,
- 14.12.2014,
- 21.12.2014
do not give such a coincidence. Number of digits 1 in them together is 8, not 7 and sum of digits 2 and 1 together in these three dates together is 22, not 21; number of digits 2 and 1 together there is not 14 (((21+7):2) or (21-7)), but 15.

Sum of numbers 6, 13, 20 is 39 and sum of that numbers read backwards is also 39 (02+31+6, 02 is counted as 2, not as 0,2), although the sequence 6, 13, 20 is not palindromic or composed only by one-digit numbers.

Today I looked at last comments in certain dictionary. On the top of the page I found word (let's name iit U) which has the same first two letters as Polish name of V of some of my previous posts. In addition, fourth, fifth, sixth and seventh letters of U were the same as third, fourth, fifth and sixth letters of Polish name of V! Word U has nine letters, word V has seven letters.
In addition, on the page with recent comments in that dictionary I saw comment in entry "V" (literally, the comment was in entry named just V). Comment for entry U was written about 9 p.m. 29.10.2018, comment for entry V (literally V) was written about 4 p.m. 29.10.2018. There were 10 comments between the two mentioned earlier.

From the digits in date 6.12.2014 a geometrical sequence with sum of numbers 21 can be formed: 1, 4, 16.
From the digits in date 6.12.2014 a geometrical sequence with sum of numbers 42 can be formed: 6, 12, 24.
Two arithmetical sequences with sum of numbers 42 can be formed from digits in 6.12.2014:
- 2, 14, 26;
- 6, 14, 22.

Constant arithmetic or geometric sequence 12, 12, 12 (formed by numbers meaning month in dates: 6.12.2014, 13.12.2014, 20.12.2014) has peculiar properties associated with 3, 6, 9:
1. There are 3 numbers in the sequence 12, 12, 12.
2. There are 6 digits in that sequence.
3. Sum of digits in that sequence is 9.
4. Sum of first digits in numbers forming sequence 12, 12, 12 is 3 (1+1+1).
5. Sum of second digits in numbers forming that sequence is 6 (2+2+2).
6. Sum of numbers in that sequence is 36.
36 is the number constructed from digits 3 and 6.
Sum of digits in 36 is 9.
36 = 6*6 = (3+6+9)+(3+6+9)
7. Product of first digits of numbers 12, 12, 12 is 1 (1*1*1) and product of second digits of these numbers is 8 (2*2*2).
When we write 1 and 8 next to each other, we will receive 18.
18 is 3+6+9.

In addition, quotients of numbers of 12, 12, 12 sequence and sums of digits forming that sequence form constant arithmetical and geometrical sequence with sum 12 and term (and arithmetical mean) 4:
12:(2+1) = 12:3 = 4
12:(2+1) = 12:3 = 4
12:(2+1) = 12:3 = 4
12.4 is a pair of numbers with somewhat interesting properties:
1. Numbers of 12.4 sorted ascendingly or descendingly form a geometric sequence with sum 7: 1, 2, 4.
2. From the phrase 12.4 number 21 can be formed (and also number 12).
3. From the phrase 12.4 number 42 can be formed (and also number 24).
4. From the digits of numbers 12 and 4 numbers 21 and 4 can be formed, product of 21 and 4 is 84.
5. (1+2)*4 = 3*4 = 12
6. (1-2)*4 = (-1)*4 = (-4) [absolute value of -4 is 4]
7. (1*2)*4 = 2*4 = 8 [product of digits forming phrase 12.4 is the same as arithmetic mean of numbers 12 and 4]

Today about 6:30 p.m. next comment in entry V in the dictionary mentioned in my previous post was written.

We have the constant sequence: 12, 12, 12.
Sum of digits in one of members in that sequence is 3.
Arithmetic mean of members of that sequence is, of course, 3.
Sum of products of first and second digits of numbers in 12, 12, 12 sequence is the same as sum of the digits in that sequence:
1*1*1 = 1
2*2*2 = 8
1+8 = 9
1+2+1+2+1+2 = 3+3+3 = 9
18 = 3+6+9

Let's look at the sequence 84, 42, 21. Let's divide numbers in that sequence by differences of digits in its terms:
84:(8-4) = 84:4 = 21
42:(4-2) = 42:2 =21
21:(2-1) = 21:1 = 21
We received constant geometrical or arimetrical sequence - 21, 21, 21.
Sum of first digits in the sequence 21, 21, 21 is 6 (2+2+2).
Sum of second digits in the sequence 21, 21, 21 is 3 (1+1+1).
Let's write sums of first and second digits next to each other: we receive number 63. Sum of digits in that number is the same as sum of numbers in 21, 21, 21 and it is 9.
Difference between arithmetical mean of 21, 21, 21 and arithmetical mean of 12, 12, 12 is 9.
Difference between the sum of numebrs in 21, 21, 21 and the sum of numbers in 12, 12, 12 is 27 (63-36). 27 is 3*3*3 = 3*9.
Sum of products of first and second digits of numbers in 21, 21, 21 sequence is the same as sum of the digits in that sequence:
2*2*2 = 8
1*1*1 = 1
8+1 = 9
2+1+2+1+2+1 = 3+3+3 = 9
81 = 9*9 = 3*3*3*3
Sequence 21, 21, 21 has 3 numbers and 6 digits.

Today I typed "11 24 37" "11 42 73" in Google. There were 7 results.
I typed also "11 24 37" "11 42 73" "17 24 31" "13 42 71" and found 2 results.
Every of four arithmetical sequences mentioned earlier has 3 terms and 6 digits together in these terms. Sums of digits in these sequences are 18 (3+6+9).
Sums of numbers in these sequences are 126 (21*6) or 72 ((3+6+9)*4).
These sequences written backwards form another arithmetical sequences (one of three different from original one).

I wrote about coincidences associated with these four arithmetical sequences 31.08.2018 here: http://www.nld.pun.pl/viewtopic.php?pid=677#p677 Here is written about prime numbers which are fascinately associated with these four sequences.

In Google I found 2 results for the phrase "All extreme members of these four" which were associated with my posts.

I am interested if anyone else in history noticed that prime numbers-associated pattern in sequences: 11, 24, 37; 11, 42, 73; 17, 24, 31; 13, 42, 71.
Extreme members of these sequences are all prime numbers (11, 37, 73, 17, 31, 13, 71). In these prime numbers only three (21:7 = 3) sort of digits are present, they form a product which is 21 (1*3*7 = 21).
Common differences of four arithmetical sequences mentioned earlier are all prime numbers (13, 31, 7, 29).
It is interesting if there is any other group of arithmetical or geometrical sequences which has such a property.

It is not the end of prime number-associated phenomena. When we sort digits forming any of these four arithmetical sequences ascendingly and then form two-digit numbers, we will receive 11, 23, 47 - three prime numbers which sums of digits are another prime numbers. We can wrote next numbers in that sequence (which is not arithmetic or geometric), these numbers are 83, 131, 191, 263. They are also additive prime numbers. Amazing!

11, 42, 73; 13, 42, 71 and 33, 42, 51 are somewhat similar arithmetical sequences:
- all have 3 terms,
- all have 6 digits,
- all have the same sum of numbers (21*6 = 126, sum of digits in 126 is 9),
- all have the same sum of digits (18, 18 = 3+6+9, sum of digits in 18 is 9),
- all have the same sum of numbers in arithmetical sequences formed by reading "original" sequences backwards [37, 24, 11; 17, 24, 31 and 15, 24, 33 - sum of numbers in these sequences is 72, which is multiple of 18 (3+6+9), sum of digits in 72 is 9],
- first digits in these sequences form arithmetical sequences (1, 4, 7; 1, 4, 7; 3, 4, 5 - two of these triplets form number 147 (21*7) when written next to each other, sums of these sequences are 12),
- second digits in these sequences form arithmetical sequences (1, 2, 3; 3, 2, 1; 3, 2, 1 - sums of these triplets are 6).

11, 23, 47, 83, 131, 191, 263 - it is not a geometrical or arithmetical sequence, but it has interesting properties - sums of these numbers are additive prime numbers! These sums are: 2, 5, 11, 11, 5, 11, 11. Sum of digits in number 11 is 2.

11, 23, 47, 83, 131, 191, 263. It is probably the smallest such a sequence of additive prime numbers. Other as long sequences of additive primes appear to be hard to find or maybe even do not exist.

Numbers 2, 5, 11, 23, 47 are five first Thabit numbers.

Here are another sequences of prime numbers: http://mathforum.org/kb/message.jspa?messageID=415186.
A sequence 41, 43, 47, 53, 61, 71, 83, 97, 113, 131, 151, 173, 197, 223, 251, 281, 313, 347, 383, 421, 461, 503, 547, 593, 641, 691, 743, 797, 853, 911, 971, 1033, 1097, 1163, 1231, 1301, 1373, 1447, 1523, 1601 is mentioned here. There are 7 consecutive additive primes in that sequence (bolded), but not all seven have digit sum which is a prime number.
A sequence 17, 29, 53, 89, 137, 197, 269, 353, 449, 557, 677, 809, 953, 1109, 1277 also has seven consecutive additive prime numbers. However, not all these primes (bolded) are primes with additive primes as the sum of their digits.

From digits of the ascending arithmetical sequences:
- 11, 24, 37;
- 11, 42, 73;
- 13, 42, 71;
- 17, 24, 31;
phrase 21 7 can be formed.

Absolute values of common differences of sequences formed by reading these four sequences backwards are prime numbers.

It is interesting if someone else noticed pattern associated with prime numbers and digits: 1, 1, 2, 3, 4, 7. From these digits four ascending arithmetical sequences can be formed.
These sequences have middle terms and arithmetical means 42 or 24, sum of digits in these two numbers is 6 and arithmetical mean of digits is 3.
Sums of these three-membered arithmetical sequences are 72 and 126 and 72 and 126 are divisible by 18 (3+6+9).
Sum of digits in these sequences is 18 (3+6+9).

Products of digits in extreme terms of four arithmetical sequences mentioned above are 21:
- 1*1*3*7 = 21
- 1*1*7*3 = 21
- 1*3*7*1 = 21
- 1*7*3*1 = 21.

What is very interesting, two arithmetical sequences with three (21:7) numbers and sum 21 and arithmetical mean 7 (and middle term 7 also) can be formed from digits in extreme members of four ASes mentioned above:
- 1, 7, 13;
- 3, 7, 11.
In addition, these two ASes have the same products of their four digits as sums of three numbers which form them!
1*7*1*3 = 1+7+13 = 21
3*7*1*1 = 3+7+11 = 21
These arithmetical sequences (with the property mentioned above) are probably really rare. Another two which give such a property are 0, 0, 0 and 1, 2, 3.
0*0*0  = 0+0+0 = 0
1+2+3 = 1*2*3 = 6

The sequence 3, 7, 11 is especially interesting. It is formed by three additive prime numbers (3, 7, 11, sum of digits in 11 is 2 and it is a prime) and gives its descending counterpart (11, 7, 3) when read backwards. Another (even more interesting, because its CD is also an additive prime number - 2) sequence which has such a property is 3, 5, 7. Number 357 is the result of multiplication of 21 and 17. Numbers 21 and 17 can be formed from digits in the sequence 11, 24, 37.

First five Thabit numbers are additive prime numbers associated with digits 1, 1, 2, 3, 4, 7.
11, 23, 47 - third, fourth and fifth thabit numbers. First is 2, second is 5.
2, 5, 11 - three first Thabit numbers and sum of digits in 11, 23, 47!
Sum of 1st, 2nd and 3rd Thabit numbers is 18 and sum of digits in these three numbers is 18:2 = 9 (2 is the smallest Thabit number and sum of digits in the smallest term of 11, 23, 47 sequence).
Sum of 11, 23, 47 is 81, which is 18 read backwards. In addition, 81 is 9*9 and 18 is 2*9. Product of two of first factors in 2*9 and 9*9 is 2*9 = 18.
Sum of 18 and 81 is 99.

Sorry, there is some sort of error in my previous post...

What is very interesting, two arithmetical sequences with three (3 is 21:7) numbers and sum 21 and arithmetical mean 7 (and middle term 7 also) can be formed from digits in extreme members of four ASes mentioned above:
- 1, 7, 13;
- 3, 7, 11.
In addition, these two ASes have the same products of their four digits as sums of three numbers which form them!
1*7*1*3 = 1+7+13 = 21
3*7*1*1 = 3+7+11 = 21
These arithmetical sequences (with the property mentioned above) are probably really rare. Another two which give such a property are 0, 0, 0 and 1, 2, 3.
0*0*0  = 0+0+0 = 0
1+2+3 = 1*2*3 = 6

Thabit numbers are also called "321 numbers". Phrase "321" can be formed from digits in numbers 11, 24, 37.
All sums of digits in members of 11, 23, 47, 83, 131, 191, 263 are prime Thabit numbers 2, 5 or 11. Sums of digits in these sums are 2 or 5 - two first Thabit primes.

11, 24, 37. 11, 42, 73. 13, 42, 71. 17, 24, 31. Sum of these four sequences is 396. Number formed by digits: 3, 6, 9! It is divisible by 3+6+9 (18) - 369 is not divisible by 18 because it is an odd number and 18 is an even number.
396: 18 = 22 (that two-digit number has the same sum of digits as product of them).
Arithmetical mean of sums of numbers in four sequences mentioned earlier is 99 (72+126+72+126):4 = (198+198):2 = 99.
Arithmetical mean of numbers in these four sequences is 396:12 = 33.
33 - arithmetical mean of digits in this number is 3.
33 - sum of digits in this number is 6.
33 - product of digits in this number is 9.

From combinations of digits of "miraculous sequences" 84, 42, 21 and 21, 42, 84 geometrical sequences with sums: 21, 42, 84, 63 can be formed.
1. 2+1 = 3
4+2 = 6
8+4 = 12
3, 6, 12 - geometrical sequence with sum 21!
2. (2*1):(2:1) = 2:2 = 1
(4*2):(4:2) = 8:2 = 4
(8*4):(8:4) = 32:2 = 16
1, 4, 16 - geometrical sequence with sum 21!
3. 21:(2+1) = 21:3 = 7
42:(4+2) = 42:6 = 7
84:(8+4) = 84:12 = 7
7, 7, 7 - geometrical sequence with sum 21!
4. 2*1 = 2
4*2 = 8
8*4 = 32
2, 8, 32 - geometrical sequence with sum 42!
5. (2+1)*(2:1) = 3*2 = 6
(4+2)*(4:2) = 6*2 = 12
(8+4)*(8:4) = 12*2 = 24
6, 12, 24 - geometrical sequence with sum 42!
6. 21 read backwards - 12
42 read backwards - 24
84 read backwards - 48
12, 24, 48 - geometrical sequence with sum 84!
7. (2*1)*(2:1) = 2*2 = 4
(4*2)*(4:2) = 8*2 = 16
(8*4)*(8:4) = 32*2 = 64
4, 16, 64 - geometrical sequence with sum 84!
8. 21:(2-1) = 21:1 = 21
42:(4-2) = 42:2 = 21
84:(8-4) = 84:4 = 21
21, 21, 21 - geometrical sequence with sum 63 (21*3) and arithmetical mean 21!
9. (2+1)*(2-1) = 3*1 = 3
(4+2)*(4-2) = 6*2 = 12
(8+4)*(8-4) = 12*4 = 48
3, 12, 48 - geometrical sequence with sum 63 (21*3) and arithmetical mean 21!

The same content again... Emoticons instead of ":"...

From combinations of digits of "miraculous sequences" 84, 42, 21 and 21, 42, 84 geometrical sequences with sums: 21, 42, 84, 63 can be formed.
1. 2+1 = 3
4+2 = 6
8+4 = 12
3, 6, 12 - geometrical sequence with sum 21!
2. (2*1) : (2:1) = 2:2 = 1
(4*2) : (4:2) = 8:2 = 4
(8*4) : (8:4) = 32:2 = 16
1, 4, 16 - geometrical sequence with sum 21!
3. 21:(2+1) = 21:3 = 7
42:(4+2) = 42:6 = 7
84:(8+4) = 84:12 = 7
7, 7, 7 - geometrical sequence with sum 21!
4. 2*1 = 2
4*2 = 8
8*4 = 32
2, 8, 32 - geometrical sequence with sum 42!
5. (2+1)*(2:1) = 3*2 = 6
(4+2)*(4:2) = 6*2 = 12
(8+4)*(8:4) = 12*2 = 24
6, 12, 24 - geometrical sequence with sum 42!
6. 21 read backwards - 12
42 read backwards - 24
84 read backwards - 48
12, 24, 48 - geometrical sequence with sum 84!
7. (2*1)*(2:1) = 2*2 = 4
(4*2)*(4:2) = 8*2 = 16
(8*4)*(8:4) = 32*2 = 64
4, 16, 64 - geometrical sequence with sum 84!
8. 21:(2-1) = 21:1 = 21
42:(4-2) = 42:2 = 21
84:(8-4) = 84:4 = 21
21, 21, 21 - geometrical sequence with sum 63 (21*3) and arithmetical mean 21!
9. (2+1)*(2-1) = 3*1 = 3
(4+2)*(4-2) = 6*2 = 12
(8+4)*(8-4) = 12*4 = 48
3, 12, 48 - geometrical sequence with sum 63 (21*3) and arithmetical mean 21!

Difference between middle and the smallest term of sequence 21, 42, 84 is 21 (42-21). Sum of digits in number 21 is 3.
Difference between the largest and midlle term of that sequence is 42 (84-42). Sum of digits in number 42 is 6.
Difference between the largest and the smallest term of that sequence is 63 (84-21). Sum of digits in number 63 is 9. In addition, two digits forming that number are 3 and 6.

First three numbers of 11, 23, 47, 83, 131, 191, 263 sequence are numbers which can be formed by substracting 1 from the numbers forming geometrical sequence 12, 24, 48.

First three Thabit numbers (2, 5, 11) are numbers which can be formed by subtracting 1 from numbers which are sums of digits in numbers 21, 42, 84. These sum of digits are: 3, 6, 12.

Second, third and fourth Thabit numbers (5, 11, 23) are formed by subtracting 1 from numbers forming the geometrical sequence 6, 12, 24. Sum of these three Thabit numbers is 39.

First, third and fifth Thabit numbers (2, 11, 47) are formed by subtracting 1 from digits forming the sequence 3, 12, 48.

Some time ago I read about numbers 7, 11, 13 associated with certain text. It could be in summer or autumn 2017, relatively shortly after ending my third going to day hospital, which started 27.4.2017 and ended 24.7.2017. There is coincidence between numbers 7, 11, 13 and 27, 4 or 24, 7!

It is pretty large coincidence which I noticed maybe only today.
Sum of numbers 7, 11, 13 is the same as sum of numbers 27 and 4 or 24 and 7 and it is 31, a prime number.
Sum of digits in numbers 7, 11, 13 is the same as sum of digits in numbers 27 and 4 or 24 and 7 and it is 13, a prime number which is formed by reading digits in number 31 backwards!

In addition, sums of digits in numbers 7, 11 and 13 form the same digits as digits forming numbers 27 and 4 or 24 and 7!
7 = 7
1+1 = 2
1+3 = 4

Product of digits in numbers 7, 11, 13 is 21 (7*1*1*1*3). It is smaller than sum of these three numbers: 7+11+13 = 31. From the digits of numbers 7, 11, 13 two extreme members of arithmetical sequences: 11, 24, 37; 11, 42, 73; 13, 42, 71; 17, 24, 31 can be formed.

From digits of numbers 7, 11, 13 two ascending arithmetical sequences with sum of digits 21 and arithmetical mean 7 can be formed: 1, 7, 13 and 3, 7, 11.

I also found interesting triplet of additive prime numbers: 7, 29, 137. These are three additive prime numbers.
1. Sum of these three numbers is 173, an additive prime number which is formed by the same digits as the largest numbers in triplet 7, 29, 137.
2. Sums of digits in numbers 7, 29, 137 are all additive prime numbers:
7 = 7
2+9 = 11
1+3+7 = 11
3. Sum of sums of digits in 7, 29, 137 sequence is also an additive prime number!
7+11+11 = 29, sum of digits in 29 - 11, 11 occurs twice as a sum of digits in numbers 7, 29, 139; 29 is a member of "original" sequence.
4. Sum of digits in sums of digits in numbers of 7, 29, 137 sequence is also an additive prime number!
7+(1+1)+(1+1) = 7+2+2 = 11

I found two sequences of three consecutive additive prime numbers which have sums of numbers which is an additive prime number. They are:
- 5, 7, 11 (5+7+11 = 23; 2+3 = 5)
- 41, 43, 47 (41+43+47 = 131; 1+3+1 = 5).
Interestingly, smaller sequence is formed by sums of digits in numbers of larger sequence:
4+1 = 5
4+3 = 7
4+7 = 11
5711 is a prime number (although not additive) and 414347 is also a prime number (additive).

7, 11, 13 read backwards will form 31, 11, 7. Sum of numbers 7, 11, 31 is 49.
Interestingly, the sum of numbers 24 and 7 read backwards is also 49: 7+42 = 49.

Sequence: 7, 11, 13 can be associated with four dates from 2017 year:
- 27.4.2017 (start of my third going to day hospital)
- 24.7.2017 (end of my third going to day hospital, in the excerpt from it I got diagnoses of F84, F42, F21)
- 31.7.2017 (sum of digits is 21, three numbers forming that date are prime numbers, in the date digits 1, 3, 7 are present, as in the sequence 7, 11, 13, two arithmetical sequences with sum 21 and arithmetical mean 7 can be fromed from digits of that date (1, 7, 13; 3, 7, 11))
- 13.11.2017 (that day I had a visit with my psychiatrist and (at least probably) I was diagnosed with F84.5, F42.2, F21; all numbers in the date are primes, two arithmetical sequences with sum 21 and arithmetical mean 7 can be fromed from digits of that date (1, 7, 13; 3, 7, 11); from digits in that date the sequence 7, 11, 13 can be formed; numbers formed by two last digits in numbers in the date 13.11.2017 are prime numbers).

Yesterday I wrote about 7, 11, 13 and it was 13.11.2018, yesterday I did not notice that coincidence.

Phrases: 21.7 or 147 can be formed from digits in numbers of 11, 42, 73 sequence.

Product of digits of numbers used in that sequence is 168 (84+84), 168 would be fourth member of geometrical sequence starting with 21, 42, 84.
1*1*4*2*7*3 = 1*8*21 = 168
Sum of numbers of that sequence is 126 (11+42+73).
Difference between product of digits in 11, 42, 73 and sum of numbers in 11, 42, 73 is 168 - 126 = 42.

Today I typed phrase 21 42 84 in Google and first result was about my topic started in one of Polish forums. I am interested if someone else noticed peculiar properties of 21, 42, 84 sequence and wrote about them in the Internet. Maybe I am the only human in history who noticed them?

Sum of numbers in sequence 11, 24, 37 is 72.
Product of digits forming numbers 11, 24, 37 is the same as product of digits forming numbers 11, 42, 73 and it is 168.
Difference between product of digits in numbers 11, 24, 37 and sum of numbers in that arithmetical sequence is 168 - 72 = 96. Number 96 is formed by digits 9 and 6 and difference between 9 and 6 is 3.

My coincidences are in my opinion quite impresive and convincing. They are so numerous. It could be hard to say why they may prove existence of supernatural entities. I do not believe in "pure coincidence". I do not need coincidences to believe in One Supreme Being, I would rather suppose that my coincidences are "products" of unclean spirits. Large frequency of my coincidences may be a proof of their supernatural origin. There may be too much coincidences in my life to think that they are just result of "common mathematical chance".

25.11.2018 I typed in Google transliteration of Russian term for a creature from certain computer game, about which I watched film 14.10.2018. In the description of third link in the results there were three words for item which I called V in earlier posts! About month ago I typed the same or similar phrase in Google and there was Polish term for V in third link in results! In Polish language first, second, fifth, sixth, seventh letters of the name of V form a part of Polish name of certain creature from the game about which film I watched 14.10.2018, these creatures were present in the film which I watched that day.

There is also something interesting in the sequence formed by raeding the sequence 33, 42, 51 backwards - resulting sequence is also an arithmetical sequence with common difference 9 and it is 15, 24, 33.

06.12.2018 - some coincidences happened. That day I saw the date written as 6.12.18. Numbers: 6, 12, 18 form an arithmetical sequence (AS) which is interesting! Members of that AS are results of multiplicating numbers 3, 6, 9 by two. Sums of digits in numbers forming that sequence are 6, 3 (1+2) and 9 (1+8), sum of digits in the sequence is 18. 18 is also sum of 3, 6, 9. There are 3 numbers in the sequence: 6, 12, 18.

In addition, at the late evening of 6.12.2018 I noticed that the arithmetical sequence 11, 15, 19 has the same product of its six digits as sum of its three numbers! That sequence is notoriously coincident with another sequence with 15 as the middle term and arithmetical mean - 12, 15, 18:
1. Both ASes (11, 15, 19 and 12, 15, 18) have three numbers in them.
2. They have six digits in any of them.
3. Sum of digits in these two ASes is 18 (3+6+9).
4. Their arithmetical mean and middle term are the same (15), sum of three numbers forming them is 45 in both cases.
5. First digits of members forming these three sequences have the same sums (1+1+1 = 3) and are the same digits.
6. Sums of second digits have the same sums (15).
7. First and second digits in both ASes form another ASes (1, 1, 1 and 1, 5, 9 or 1, 1, 1 and 2, 5, 8 ).

I had big coincidence 18.12.2015. Last time I had coincidence with two dates associated with 18 - 06.12.2018 and 15.12.2018. Sums of digits in numbers formed by two last digits in numbers forming these dates sorted ascendingly form the "Tesla's arithmetical sequence" - 3, 6, 9.

I noticed that 1*1*1*5*1*9 = 11+15+19 nine days before 15.12.2018. Numbers formed by two last digits in numbers in date 15.12.2018 form an arithmetical sequence with sum 18 when sorted ascendingly. Sums of digits in these numbers are 3, 6, 9 and one of members is a sum of digits in sequence 12, 15, 18.

6, 12, 18 and 11, 15, 19 and 12, 15, 18 (associated with both 18.12.2015 and 15.12.2018) are three-membered arithmetical sequences with sums of digits equating 18 (3+6+9)!

Interestingly, the day which will be nine days after 15.12.2018, also has 18 as the sum of digits of two last digits in its date - 24.12.2018. Numbers: 24, 12, 18 sorted ascendingly form an arithmetic sequence - 12, 18, 24. Sums of digits in numbers of that sequence are 3, 9 and 6, if they are sorted ascendingly, they form "Tesla's arithmetic sequence" - 3, 6, 9.
The difference between 06.12.2018 and 24.12.2018 is 18 (3+6+9) days. Two last digits in these dates form number 18.

Today I noticed two arithmetical sequences associated with codes of mental disorders in ICD-10 with which I was diagnosed in day hospital when I was going to it in IV-VI 2016. I was diagnosed with:
- F21 (schizophrenia-type (schizotypal) disorder)
- F42.2 (mixed obsessive-compulsive disorder)
- F65.8 (other sexual preference disorder, I do not wat to write about evil details of it)
- F84.5 (Asperger's syndrome, a pervasive developmental disorder).

First digits in codes of these four mental disorders (digits just after F) form an arithmetical sequence which has four terms! It is 2, 4, 6, 8. From that sequence two three-membered sequences can be formed: 2, 4, 6 (sum 12) and 4, 6, 8 (sum 18, arithmetical mean 6, just like in the case of 3, 6, 9).

Numbers after dots in codes F42.2, F65.8 and F84.5 sorted ascendingly form an arithmetical sequence 2, 5, 8.
I think that there may be relatively large chance for being diagnosed with three conditions which numbers after dots will form arithmetical sequence (for example someone might be diagnosed with F32.1 (moderate depressive episode), F42.2 (mixed OCD) and F60.3 (emotionally labile personality (Polish: osobowość chwiejna emocjonalnie), for example borderline personality disorder).

I think that there may be larger chance for being diagnosed with four diagnoses which have numbers forming four-membered arithmetic (or eventually geometric) sequence after letter in the code than the chance for being diagnosed with three diagnoses in which cases numbers after the letter in the code form geometric or arithmetic sequence.

Sequences: 11, 15, 19 and 12, 15, 18 have interesting property - sum of products of digits in their numbers is 15, which is arithmetic mean of these sequences and middle term of them.

(1*1)+(1*5)+(1*9) = 1+5+9 = 15
(1*2)+(1*5)+(1*8) = 2+5+8 = 15

There are also three another sequences which produce such a phenomenon:
- 13, 15, 17;
- 14, 15, 16;
- 15, 15, 15.

The sequence 11, 15, 19 is somewhat coincident with 3, 7, 11 - 15 and 19 are two next members of (infinite) arithmetic sequence starting with 3, 7, 11. 11 is the member which is shared by two arithmetical sequences which have the same product of digits of numbers forming them as the sum of numbers forming these sequences.

I had coincidence with another five-membered sequence with 11 as third (medium) member earlier. This sequence was not arithmetic nor geometric and was formed by five first Thabit numbers (which are in addition additive prime numbers). That sequence is: 2, 5, 11, 23, 47. First three Thabit numbers are sums of digits in third, fourth and fifth Thabit numbers.

I might say that there are two sequences which have five members and have 11 as the middle member which are important in my life:
- 2, 5, 11, 23, 47;
- 3, 7, 11, 15, 19.

In Google I found only one result for "2, 5, 11, 23, 47" "3, 7, 11, 15, 19" (both sequences were in quotation marks, both sequences were in one question for search engine).

12, 15, 18 forms an arithmetic sequence when written backwards: 81, 51, 21. Sum of that AS is 153.
11, 15, 19 forms an arithmetic sequence when written backwards: 91, 51, 11. Sum of that AS is 153.
Sums of "original" sequences are 45.
153-45 = 108.
108 = 6*(3+6+9) - sum of 3, 6, 9 multiplicated by arithmetical mean of 3, 6, 9.

Some time ago I noticed three books, one above another. On the "highest" of them there was number 10, on "middle" - number 7, on the "lowest" - number 4. These three numbers form an arithmetic sequence with sum 21 and arithmetical mean 7! Amazing! 21.7 coincidence again! In addition, from digits of the sequence 4, 7, 10 another AS with sum of numbers 21 and arithmetic mean 7 can be formed! It is 0, 7, 14 (ascending). What a coincidence :!:

I started my third regular going to day hospital 27.4.2017 and ended it 24.7.2017. The same digits, the same sums of numbers. From digits in one of these two dates three ASes can be formed:
- 4, 7, 10 (common difference 3),
- 2, 7, 12 (CD 5),
- 0, 7, 14 (CD 7).
Common differences of these three ASes sorted ascendingly form unique arithmetic sequence - 3, 5, 7. It is formed by prime numbers only and has a prime number as the common difference (that number is 2). It is ONLY such an arithmetical sequence! Sequences: 1, 3, 5, 7 and 1, 3, 5 are not formed by prime numbers only, because 1 is not a prime number (although it is also not a composite number).

In second half of 2017 I read about certain three numbers. First digits in these numbers will form 21 7 when placed in appropiate way. Sum of three remaining digits is... 21 and arithmetic mean of these three digits is 7. Product of six digits forming that triad of numbers is divisible by 21, 7, 3, 6 and 9. One digit occurs two times in these numbers and that digit is nine. Four other digits in that triad occur only once.

The triad of numbers mentioned in my last post is also associated with 7, 11, 13. I read about these two triads in second half of 2017.
7, 11, 13 is associated with 27.4.2017 and 24.7.2017 and also with 1, 3, 7; 1, 1, 3, 7 and 11, 13, 17. Big coincidence.
Sums of digits in 7, 11, 13 are 7, 2, 4 and are obviously associated with 27.4.2017 and 24.7.2017.
Sum of digits in 7, 11, 13 is the same as sum of digits in 27.4 and 24.7. It is 13.
Sum of numbers in 7, 11, 13 is the same as sum of numbers 27 and 4 or 24 and 7. It is 31.
Both 13 and 31 are prime numbers. They are formed by reading another backwards. Year 2017 is associated for me with three sets of numbers with sum of digits 13 and sum of numbers 31.
I had coincidence with 11, 13, 17 (three prime numbers) being formed from two last digits in numbers of date 13.11.2017. In that date there are three prime numbers which have even digit sums.
Sum of digits in numbers: 11, 13, 17 together is 14. Sums of digits in 11, 13, 17 sorted ascendingly will form geometrical sequence: 2, 4, 8. Sum of that sequence is 14 (21-7 or (21+7):2).
Sum of numbers: 11, 13, 17 is an additive prime number with sum of digits 5 (41). Sum of numbers formed by reading numbers: 17, 13, 17 backwards is also an additive prime number with sum of digits 5 (113). 71+31+11 = 113.
2071 is not a prime, it is divisible by 19 and 109. Sum of numbers: 11, 13, 71 is not a prime, it is 95 which is divisible by 19 and 5.

I wrote quite much about my coincidences. Many of them would be not present if I would receive diagnoses of schizophrenia instead of schizotypal disorder. Without 21.7 many coincidences with 3, 6, 9 would be smaller, maybe even unnoticed.
21 is 7th member of infinite arithmetic sequence starting with 3, 6, 9.
20 (number in the ICD-10 code of schizophrenia) is not a member of that sequence.

In X 2014 a lecturer who has the same surname as my sister quite frequently talked about McDonald's. McDonald's was associated in my mind with MCDD (multiple-complex developmental disorder). I use the abbreviation MCDD on Polish Asperger's syndrome forum at 10.10.2008. In 2011-2012 there was a woman on that forum who suspected that she has MCDD. She wrote that she was diagnosed with, for example, Asperger's syndrome, schizotypal disorder, obsessive-compulsive disorder, schizophrenia. I also had these diagnoses in my life, three first of them at the same time. In 2014 I used quite often the abbreviation McDD on that forum and had coincidences with McDD. 14.10.2014 I noticed advertisement of McDonald's in bus with which I rode to the studies. I noticed also green clover leaf in that bus on another advertisement and 14.10.2014 an individual with aucorigia wrote the post about clover which might be associated with signs from supernatural forces, in topic in which that post was written first post after mine was written by another individual with aucorigia who had grey cat and clover on own user's image!

I wrote "GmbH" (German abbreviation) and "you just see an apple" (English phrase) before writing sentence "Kot mruczy, a krowa muczy" ("Cat purrs, and cow moos"), words "Grodno" (large city in western Belarus) and "Kowno" (Kaunas, second largest Lithuanian city) and the word "krowno" (my neologism for cow excrement). The sentence "Kot - po niemiecku znaczy to "kał"" ("Kot - in German it means "feces"") was also written. It was 16.4.2018.

The date 16.4.2018 has a rare property because from it five natural powers of number two can be separated: 16, 4, 2, 1, 8. And "number two" is slang or childish term for feces and coincidence was in large part associated with feces. Polish word "kał" ("feces") has similar pronunciation as English word "cow" ("krowa" in Polish). And Polish word for cat means feces in German (where it starts with capital letter because it is a noun). The date 18.4.2016 also gives such an effect. 18.4.2016 I started third week in day hospital (oddział dzienny in Polish).

Both dates: 16.4.2018 and 18.4.2016 have 4, 6, 8 as last digits in numbers forming them. So there is also coincidence with 3, 6, 9 because numbers 4, 6, 8 also form three-membered arithmetical sequence with sum 18 and arithmetical mean 6. In addition, 4, 6, 8 are one-digit numbers. Similarly coincident date is 4.6.2018 (when I was diagnosed with F84.5, F42.2, F21 at the visit with the psychiatrist), which has sum of digits 21 and from digits different than 4, 6, 8 numbers 21 and 210 (2*3*5*7, product of four one-digit prime numbers) can be formed.

Today I looked at Google results for certain four-lettered word written from Russian letters and there were 3 970 results. Next I looked for certain Russian phrase and there were 3 970 000 results. 1000 times more! Both phrases were associated with feces. Yesterday I wrote something about feces in that topic.

Some time ago I typed certain Russian phrase which was a transliteration of Russian name of certain creature from certain Russian game in which the encounter with Big W was present. In second or first result there was English name for the item called V in my earlier posts in that topic and two transliterations of Russian term for V! Today I typed that phrase again and there were no words for V.

24.12.2018 I noticed that from the digits of GS 21, 42, 84 two three-membered arithmetical sequences can be formed: 2, 8, 14 and 4, 8, 12. These ASes can be formed by digits of GS 1, 2, 4, 8.
1, 2, 4, 8 is a four-membered geometrical sequence. It is non-constant and has four digits in it. That GS can be formed by some digits of GS 21, 42, 84 and by some digits in numbers in the date 24.12.2018.

Large coincidence can be found in numbers formed by two last digits in numbers forming the date 24.12.2018. These numbers are: 24, 12, 18. If they are sorted ascendingly, they form an AS: 12, 18, 24. Sums of digits in numbers forming AS 12, 18, 24 are: 3, 9, 6, if they are sorted ascendingly, they form "Tesla's arithmetical sequence" (TAS) - 3, 6, 9!

1. Middle term in the sequence 12, 18, 24 is 18.
2. Arithmetic mean of the AS 12, 18, 24 is 18 ((12+18+24):3 = 54:3 = 18).
3. Sum of digits in numbers forming 12, 18, 24 is 18 (1+2+1+8+2+4 = 18).
4. Sum of products of digits in numbers forming 12, 18, 24 is 18: 1*2 + 1*8 + 2*4 = 2+8+8 = 18.

The GS 12, 18, 24 is very coincident with sum of numbers and digits in TAS - 18. It may be the only non-constant sequence which has the same arithmetical mean, sum of digits and sum of products (or only digits which are present in the numbers) of digits in numbers forming the sequence. Another example of such a sequence is constant 0,0,0.

The common difference of 12, 18, 24 is 6 - the same as CD of 6, 12, 18, which was also coincident because 6.12.2018 I noticed that product of digits in the AS 11, 15, 19 is the same as sum of numbers forimng that sequence. 6 is arithmetical mean and middle term of TAS. Both 6, 12, 18 and 11, 15, 18 have the same sum of digits - 18, the same as in the case of TAS.

There are 9 days between 6.12.2018 and 15.12.2018 and 9 days between 15.12.2018 and 24.12.2018. There are 18 days between 6.12.2018 and 24.12.2018.

I was diagnosed with schizotypal disorder regularly during last two years.
I get olanzapine since about 2 days and sulpiride since about 1,5 years.
My coincidences were larger than I thought two years ago. Big coincidence happened because I was diagnosed with schizophrenia-type disorder instead of (paranoid) schizophrenia. My biggest coincidence is associated with numbers 21 and 7, large coincidences were also associated with 3, 6, 9.
I was many times diagnosed with F84.5, F42.2, F21 at the same time. Some of dates of visits with the psychiatrists were coincident, for example:
- 5.7.2016 (last digits in numbers in the date sorted ascendingly form arithmetic sequence (AS) with three numbers and sum 18; sum of digits is 21, 21.7 can be formed from digits in that date),
- 30.9.2016 (last digits in numbers in the date sorted ascendingly form 3, 6, 9; five-membered AS can be formed from digits in that date (0, 3, 6, 9, 12); sum of digits is 21 and there are 7 meaningful digits in that date; 21 can be formed from digits in that date),
- 31.7.2017 (all numbers in the date are prime numbers, sum of digits is 21 and 21.7 can be formed from digits in the date)
- 13.11.2017 (all numbers in the date are prime numbers; numbers formed by last two digits in numbers forming that date are prime numbers (13, 11, 17) which sorted ascendingly will form triplet of three consecutive primes - 11, 13, 17, sums of digits in that triplet form geometrical sequence 2, 4, 8 which has sum 14 (14 is 21-7 or arithmetical mean of 21 and 7)),
- 4.6.2018 (sum of digits is 21, last digits in numbers of that date form AS with sum 18 and three members, five-membered AS can be formed from digits of that date (0, 2, 4, 6, 8 ).

Quite mamy people in the poll on WrongPlanet forum voted that I have no schizotypal disorder or schizophrenia. However, I have diagnosis of schizophrenia-type disorder since almost four years and in some time in 2016 I had diagnosis of (paranoid) schizophrenia.

I have no friends and colleagues since about 11 years. I take antipsychotic drugs regularly. I rather have not idea about occupational life.

Normal shower is a challenge for me. Last times I had no shower since above 40 days. It does not bother me so much when I smell not so well.

I applied for ruling of disability and social pension in 2015, after finishing attending to lectures and classes on the studies. Earlier I had not them. I have disability level 2 (moderate). I received social pension (about 600 - 800 PLN every month), which is quite hard to obtain without need of being on the commission again two times, when I had diagnoses of schizotypal disorder, Asperger's and OCD. I finished MSc studies 23.3.2017, about 1,5 year after the time when I should finish it normally. I was not employed or underemployed last time, after ending studies.

I was in day hospital (Polish: oddział dzienny) three (or four) times:
- 4.4.2016 to 24.6.2016,
- 8.11.2016 to 27.1.2017,
- 27.4.2017 to 24.7.2017.
I had also going to a day hospital "for trial" from 30.1.2017 to 3.2.2017.

I have the job which will end in next two weeks and in that job I had "tons" of obsessions (OCD compulsions) associated with oathing.
I think about my coincidences really much and like it. Coincidences absorb me, can be main topic of thoughts. I think that it does not make my functioning lower.
I have not a wife but I have need of marriage with the woman similar to me and procreating offspring "as fast as possible" (but not by sinful sorts of intercourse, such as pre-marital and extramarital).

In second half of 2017 I read about certain triad of numbers. From first digits of these numbers phrase: 21 7 can be formed. There were also three other digits in these numbers, their sum is 21 and arithmetical mean is 7, these numbers are from the triad 3, 6, 9. These numbers together have six digits and one digit appears two times in them and it is nine. Product of these six digits is divisible by 21 or 7 and by 3, 6 and 9.

There is the triad 7, 11, 13 which is associated with these three numbers mentioned above. Product of digits forming 7, 11, 13 is 21 and is 3*6*9 (162) times smaller than product of digits in triad mentioned earlier.
Product of first digits in the numbers 7, 11, 13 is 7*1*1 = 7.
Product of last digits in the numbers 7, 11, 13 is 7*1*3 = 21 (7 is first and last digit in one-digit number 7).
I had coincidences with 11, 13, 17 and 1, 1, 3, 7 - sets of numbers which have the same product of digits as 7, 11, 13. 21.7 "persecutes" me :)

I might notice coincidence with 1, 1, 3, 7 only in 2018, it was associated with 33, 42, 51. When I was about 13 - 15 years old, I invented bad, evil meanings for Polish names of chemical elements with atomic numbers 33, 42, 51. It was sinful and I regret it. About 12 years later these three numbers brought large coinicidence!

Coincidences may lower the number of ruminations associated with OCD. Coincidences are generally pleasant, they are not OCD. I have a job which does not prevent me from obsessive thoughts associated with oathing. I "dance" due to compulsions which looks strange and "stupid".

Coincidence 21.7 is associated with 3, 6, 9 ("Tesla's arithmetic sequence") because 7th number in the arithmetic sequence starting with 3, 6, 9 is 21.
13.11.2015 I heard about 3, 6, 9 in a TV programme about Tesla, it was emitted on 84th channel of satellite television and sum of 3, 6, 9, 12, 15, 18, 21 is 84. Numbers formed by two last digits of numbers in the date 13.11.2015 sorted ascendingly form an arithmetic sequence with sum 39 (11, 13, 15). Arithmetic mean of digits in 39 is 6 and 3, 6, 9 form "that" sequence.

My coincidences started about 18-21.09.2014, most important event for first coincidences took place 19.9.2014, when I took photos (using smartphone) of Jewish cementery and fragments of Catholic cementery. About 11 p.m. that day I saw photos of Jewish and Catholic cementery on the same smartphone and they were taken by another person who received Asperger's syndrome diagnosis.

My first visit with the psychiatrist after beginning of my coincidences took place 21.10.2014 and was postponed from 7.10.2014. That time it was not a coincidence yet, coincidence of 21.7 emerged about 28.4.2015. Next visit was 27.1.2015 and during it I was diagnosed with schizophrenia-type disorder first time. From digits in the numbers meaning day and month in the date 27.1.2015 phrase 21 7 can be formed, in addition, sum of numbers in phrase 27 1 is the same as in 21 7 and is 28.
I was diagnosed with Asperger's syndrome (F84.5), mixed obsessive-compulsive disorder (F42.2) and schizotypal disorder (F21) at the same time first time 28.4.2015. From the digits in that date 84 5 or 42 2 (there are two digits 2 in the date) or 21 can be formed, I noticed it only in spring 2017 (quite lately). 28.4 - digits sorted ascendingly or descendingly form arithmetic sequence with sum 14 (21-7) - 2, 4, 8 or 8, 4, 2. In addition, 28 is 21+7 and 28:4 is 7.

Some people voted in polls which I wrote on different forums that my coincidences are delusions. However, quite many voted that they are just results of mathematical common chance. People in Polish AS forums might try to persuade me that I am delusional or have schizophrenia, but I had doubts. Nobody from my family tried to persuade me that I am delusional, I did not said my mother and father about diagnoses of schizotypal disorder or schizophrenia. I tried to get aripiprazole at early spring 2016, but I had very unpleasant physical restlessness after it (I got 7,5 mg three times).

It is rather not a fascinating game or stim, although I stimmed wildly 22.9.2014, when some coincidences were "revealed" (it is not so good word, but I was really excited then) to me. I have coincidences since above 51 months. They appeared suddenly.

I have an idea that Tesla's “If you only knew the magnificence of the 3, 6 and 9, then you would have a key to the universe” refers to me and my coincidences or findings. Why he did not said just the magnificience of 3 or 18 (the sum of 3, 6, 9)? Why numbers forming three-membered arithmetical sequence with sum of digits 18 were used? I had many coincidences with three-membered arithmetical sequences with sums of digits 18.

Today is 01.01.2019. Sum of numbers formed by last two digits in numbers in that date has sum 21 and arithmetic mean 7.
01+01+19 = 1+1+19 = 21

When I was about 13 - 15 years old, I invented vulgar meanings for Polish names of chemical elements with atomic numbers: 33, 42, 51. It was evil and I regret that. I can suppose that unclean spirits might dispose me to invent them.

Yesterday I noticed that three arithmetical sequences formed by five digits and three numbers can be formed from digits of arithmetic sequence: 33, 42, 51:
- 1, 23, 45 (sum 69, common difference 22),
- 3, 14, 25 (sum 42, CD 11)
- 5, 14, 23 (sum 42, CD 9).

Today I opened certain film about Tesla's 3, 6, 9 on YouTube and noticed that it lasts 12:06 (12 minutes and 06 seconds), in Google results page it was "written" that the film lasts 12:07 (12 minutes and 07 seconds), from digits of 12:07 "21 7" can be formed.
From digits: 1, 2, 0, 6 two three-membered arithmetical sequences with sum 18 (3+6+9) and arithmetic mean 6 can be formed:
- 0, 6, 12
- 2, 6, 10.

In 2014 three men from my locality died at the same day of the week. The dates of deaths were:
- 6.12.2014
- 13.12.2014
- 20.12.2014
The numbers meaning day form an arithmetic sequence which is strongly coincident with 3, 6, 9 and 21.7:
- 6, 13, 20.
1. The common difference of 6, 13, 20 is 7 and from digits of that sequence number 21 can be formed.
2. The sum of digits of that sequence is 12 (3+9, 21 read backwards) and sum of numbers is 39 (a number with arithmetic mean of digits 6 which is composed by 3 and 9).
3. From digits of 6, 13, 20 geometrical sequence (GS) 3, 6, 12 can be formed, that GS has sum of numbers 21 and arithmetical mean 7! Sum of digits in 3, 6, 12 is 12 (it is one of members of that GS).
4. Sum of digits in numbers other than one-digit number 6 is 6 and these digits form four-membered arithmetic sequence (0, 1, 2, 3).
5. An ascending three-membered arithmetic sequence (AS) with sum of numbers 3 can be formed from digits of the sequence 6, 13, 20: 0, 1, 2.
6. From the digits of AS 6, 13, 20 an ascending three-membered arithmetic sequence with sum of numbers 6 can be formed: 1, 2, 3.
7. An ascending three-membered arithmetic sequence with sum of digits 9 can be formed from digits of 6, 13, 20. It is 0, 3, 6.
8. Two ascending three-membered ASes with sum of numbers 18 (3+6+9) can be formed from digits of that sequence: 0, 6, 12 and 2, 6, 10. Sum of digits in these ASes is 9 and their arithmetic mean is 6. Big coincidence!
9. Sum of first numbers in the sequence 6, 13, 20 is 9 (6+1+2) and sum of second numbers is 3 (3+0), the difference of 9 and 3 is 6.
10. The product of numbers 3, 6, 9 (162) can be formed from first digits of 6, 13, 20. The product of 21*6 (126) also can be formed from these digits.

I noticed coincidences associated with 3, 6, 9 and 21.7 associated with the arithmetic sequence (AS) 6, 13, 20. They look amazing.

1. Sum of digits in 6, 13, 20 is 12 (21 read backwards, 3+9) and sum of numbers is 39 (number starting on 3 and ending on 9, just like 3, 6, 9, in addition, arithmetic mean of digits in 39 is 6).
2. First digits in that sequence have sum 9 (6+1+2) and second digits have sum 3 (3+0). Arithmetic mean (AM) of 9 and 3 is 6, difference of 9 and 3 is also 6.
3. Product of 3, 6, 9 (162) can be formed from first digits of numbers in 6, 13, 20. Product of 21 and 6 (126, having the same digits as two factors) also can be formed from these numbers.
4. Common difference of AS 6, 13, 20 is 7 and number 21 can be formed from digits forming that sequence.
5. Three-membered geometric sequence (GS) with sum 21 and AM 7 can be formed from digits of 6, 13, 20: 3, 6, 12. Sum of digits in that GS is 12 and it is 3 times smaller than the product of digits forming that sequence (3*6*1*2 = 36).
6. A three-membered AS with sum 3 can be formed from 6, 13, 20: 0, 1, 2.
7. A three-membered AS with sum 6 can be formed from 6, 13, 20: 1, 2, 3.
8. A three-membered AS with sum 9 can be formed from 6, 13, 20: 0, 3, 6.
9. Two three-membered ASes with sum 18 (3+6+9) and AM 6 (the same as in 3, 6, 9) can be formed from 6, 13, 20: 0, 6, 12 and 2, 6, 10. It is big coincidence!
10. From digits other than 6 in the sequence 6, 13, 20 four-membered AS can be formed (0, 1, 2, 3), it has the sum 6.
11. From five digits of 6, 13, 20 another three-membered AS consisting of five digits and three numbers can be formed: 0, 16, 32. It has the sum 48 and arithmetic mean of digits in 48 is 6, in addition 48-39 is 9 (39 is the sum of numbers in "original" sequence 6, 13, 20).

There are coincidences with 21 7 associated with the dates 6.12.2014, 13.12.2014 and 20.12.2014.

Sums of digits in last numbers in these dates are 7 (2+0+1+4). There are 3 numbers 2014. Sums of digits form constant arithmetic or geometric sequence - 7, 7, 7. It has arithmetic mean 7 and sum of numbers 21.
Sum of three numbers: 2014, 2014, 2014 is 6042. From the digits of number 6042 four-membered AS can be formed: 0, 2, 4, 6.

Sums of digits in first and second numbers of these dates are:
6+1+2 = 9
1+3+1+2 = 7
2+0+1+2 = 5.
These sums form arithmetic sequence with sum 21 and arithmetic mean 7.

Sums of three numbers in the dates are:
- 6+1+2+2+0+1+4 = 16
- 1+3+1+2+2+0+1+4 = 14
- 2+0+1+2+2+0+1+4 = 12.
These sums form arithmetic sequence with sum of numbers 42 and arithmetic mean 14 (the same as arithmetic mean of numbers 21 and 7)!

In these three dates digit 1 appears 7 times and another digit forming number 21 - 2 - occurs also 7 times.

PS. That topic had 2014 hits before writing that post :)

There are another interesting properties of 6, 13, 20. From digits of that sequence five another three-membered five-digit ASes can be formed:
- 0, 16, 32
- 0, 31, 62
- 0, 13, 26
- 2, 31, 60
- 2, 16, 30.
I think that it is big coincidence. Sequence: 7, 14, 21 does not give so large number of another ASes formed by its digits. It appears for me that only 1, 14, 27 can be formed from its digits.

I mentioned sequence 12, 14, 16 in my previous post. From digits of that sequence geometric sequence 1, 4, 16 can be formed. That geometric sequence has sum of numbers 21 and arithmetic mean of numbers 7.

Today I checked results for certain Russian phrase (in quotation marks) in Google and there were 369 000 results. Before that checking I watched a film about something which was named by that Russian phrase.
For Polish name of that (without quotation marks) there were 7 650 000 results. Numbers: 7, 6, 5 form an arithmetic sequence with sum 18 and arithmetic mean 6, just like 3, 6, 9.
For Polish name in quotation marks there were 77 400 results. 7, 7, 4 - these three numbers have sum 18 and arithmetic mean 6, but do not form an arithmetic sequence.

3, 6, 9 are very coincident numbers for me since 18.12.2015. I might hear about them first time 13.11.2015 in certain not so good audition on 84th channel of satellite TV. That day there was a program about Tesla.

I had large coincidence associated with arithmetic sequences and 3, 6, 9 and slightly also with 21 7 which was due to dates of deaths of three men, probably from my small locality, whose bodies are on the same cementery one about another. One of my first biggest coincidences was associated with cementeries and it happened also in second half of 2014.

First man died 6.12.2014. Second (my grandfather) died 13.12.2014 and third died 20.12.2014. Big coincidence was related to days in the month in which they died. They died week after another. It was the same day of week. Numbers: 6, 13, 20 form an arithmetic sequence with common difference 7. Number 21 can be formed from digits in these dates.

There is one one-digit number in triplet 6, 13, 20. It is 6. Another digits than 6 found in numbers of that triplet are: 1, 3, 2, 0. If they are sorted ascendingly, they form very rare four-membered arithmetic sequence composed from non-composite numbers only which has non-composite number as its common difference. That sequence is: 0, 1, 2, 3 and it has the sum of numbers the same as only one-digit number in 6, 13, 20 - 6.

It is not only coincident property of 6, 13, 20. From digits of that sequence ascending, three-numbered arithmetic sequences with sum of numbers 3, 6, 9 and 18 (3+6+9) can be formed:
- sequence with sum 3: 0, 1, 2;
- sequence with sum 6: 1, 2, 3;
- sequence with sum 9: 0, 3, 6;
- two sequences with sum 18: 0, 6, 12 and 2, 6, 10.

Geometric sequence with sum of numbers 21 and arithmetic mean of its numbers 7 can also be formed from digits of 6, 13, 20:
- 3, 6, 12 (ascending).

What is also interesting, from digits of numbers 6, 13, 20 six three-membered ascending arithmetic sequences with five digits in them can be formed:
- 6, 13, 20 ("original" sequence);
- 2, 31, 60;
- 2, 16, 30;
- 0, 13, 26;
- 0, 16, 32;
- 0, 31, 62.

Today I wrote a post on certain topic at WrongPlanet forum and I typed number 867. That number is coincident with 21.7 because:
- it has sum of digits 21,
- it has arithmetic mean of digits 7,
- digits of that number sorted ascendingly or descendingly will form arithmetic sequence with sum of numbers 21 and arithmetic mean of numbers 7.

9.3.2016 I wrote such a post on Polish Asperger's syndrome forum:

Liczby Tesli (3, 6, 9) skojarzyły mi się też (dość oczywiście) z pewnym użytkownikiem tego forum, którego objawy i przypadek są dla mnie interesujące... I dziwnie podobne do moich, choć różnice oczywiście są. Ciekawe, dlaczego spotkały mnie koincydencje "na bazie" 84, 42, 21 czy 21.7 czy 3, 6, 9. To wygląda "niesamowicie". Doświadczenie zjawisk niewyjaśnionych może być przez niektórych postrzegane jako dowód występowania u danej osoby choroby psychicznej, np. związanej z urojeniami czy halucynacjami.

Tesla's numbers (3, 6, 9) were also associated in my mind (quite obviously) with certain user of that forum, whom symptoms and case are interesting for me... And strangely similar to mine, although there are differences, obviously. It is interesting why coincidences "on the basis" of 84, 42, 21 or 21.7 or 3, 6, 9 had happened to me. It looks "amazing". The experience of unexplained phenomena can be perceived by someone as the proof of occurrence of mental illness (for example associated with delusions or hallucinations) in the case of the person concerned.

Date 9.3.2016 is coincident, just like 30.9.2016, when I had a visit with the psychiatrist and was (at least probably) diagnosed with F84.5, F42.2, F21 during or after it. There are 7 meaningful digits in the date 30.9.2016, the arithmetic mean of these seven digits is 3 and the sum of these digits is 21.
Many arithmetic sequences can be formed from digits of these two dates (9.3.2016 and 30.9.2016).
These dates are strongly coincident with 3, 6, 9 (especially) and 21.7.
From the digits of that date ascending geometric sequence with sum of numbers 21 and arithmetic mean of numbers 7 can be formed: 3, 6, 12.
Three-membered five-digit ascending arithmetic sequences which have 3, 6 or 9 as their smallest term and only one-digit number. In addition, sums of digits in numbers in these sequences are 21 and arithmetic means of numbers which are sums of digits in numbers forming these sequences are 7:
- 3, 16, 29 (common difference 13, sums of digits: 3, 7, 11 - arithmetic sequence, coincident one)
- 6, 19, 32 (common difference 13, sums of digits: 6, 10, 5)
- 9, 16, 23 (common difference 7, sums of digits: 9, 7, 5 - arithmetic sequence, with sum of numbers 21 and arithmetic mean of numbers 7).
From digits of very coincident sequence 6, 13, 20 arithmetic sequences with common difference 7 or 13 also can be formed! "Original" sequence 6, 13, 20 has CD 7, one of other ASes formed by its digits has CD 13 (0, 13, 26).
The sequence: 6, 13, 20 can be formed from digits of dates 9.3.3016 and 30.9.2016.

I typed phrase associated with transliteration of certain Russian phrase and with certain Russian computer game. In the description of 9th result (that which was at the lowest part on first page of results) I found letter "V"! Песни на букву «V» - OriginSound.ru - that was the description. Earlier I read or typed in Google something about "bukva r" (Russian word for "letter r"). "V" was associated with the Russian game.

I typed names of two items found in coincident encounter in which "V" was found - one phrase, without quotation marks, two words. There were 246 000 000 results. 2, 4, 6 - numbers form an arithmetic sequence, in addition, they are the same as sums of digits in the sequences: 6, 13, 20 (sums of digits have to be sorted ascendingly to form 2, 4, 6) or 11, 13, 15 (these two ASes were coincident earlier). These two short names have the same number of letters in them and the same two first letters.

Today I typed three phrasese in Google and there were interesting numbers of results:
- for orojenia (modification of Polish word "urojenia" meaning delusions) there were 112 results,
- for grzech dotykanie żony (sin touching of wife) there were 112 000 results,
- for sadis there were 11 200 000 results.
112 is the product of numbers 28 and 4. I was diagnosed with F21, F42.2, F84.5 together first time 28.4.2015.

I also typed the word swinemeat and results for swine meat were presented. There were 17 400 000 results. From digits of 17 4 the number 147 can be formed, 147 is 21*7.
I typed a word associated in some way with certain creature from certain game. There were 14 700 results.
I typed certain three-lettered word and got 65 700 000 results. Numbers: 6, 5, 7 sorted ascendingly form arithmetic sequence with sum 18 and arithmetic mean 6, just like 3, 6, 9.
I typed Polish name of "Big W" encounter mentioned earlier. There were 5 880 000 results. Sum of digits 5, 8, 8 is 21 and arithmetic mean is 7.
I typed Polish name of something unpleasant and got 87 300 results. Sum of digits 8, 7, 3 is 18 and arithmetic mean is 6.

I noticed that from digits of sequence 33, 42, 51 four other arithmetic sequences (which have arithmetic mean 33) can be formed:
- 12, 33, 54 (common difference 21)
- 21, 33, 45 (common difference 12)
- 25, 33, 41 (CD 8)
- 14, 33, 52 (CD 19).
Interestingly, it is not the only set of four numbers with sum of digits 18 which has such a property. Another four arithmetic sequences with such common differences are formed from digits: 1, 2, 2, 3, 4, 6:
- 21, 42, 63 (CD 21)
- 12, 24, 36 (CD 12)
- 23, 42, 61 (CD 19)
- 16, 24, 32 (CD 8).
I found also a set of four arithmetic sequences with sums of digits 15 which has such CDs:
- 15, 23, 31 (CD 8)
- 13, 32, 51 (CD 19)
- 11, 32, 53 (CD 21)
- 11, 23, 35 (CD 12).

In my previous post there were emoticons instead of number 8 and quotation mark.

From digits of numbers: 6, 13, 20 (0, 1, 2, 3, 6) many ascending arithmetic sequences can be formed:
1. 0, 1, 2 (sum 3, arithmetic mean (AM) 1, common difference (CD) 1)
2. 1, 2, 3 (sum 6, AM 2, CD 1)
3. 0, 1, 2, 3 (sum 6, AM 1,5, CD 1)
4. 0, 3, 6 (sum 9, AM 3, CD 3)
5. 0, 6, 12 (sum 18, AM 6, CD 6)
6. 2, 6, 10 (sum 18, AM 6, CD 4)
7. 0, 13, 26 (sum 39, AM 13, CD 13)
8. 6, 13, 20 (sum 39, AM 13, CD 7)
9. 0, 16, 32 (sum 48, AM 16, CD 16)
10. 0, 31, 62 (sum 93, AM 31, CD 31)
11. 2, 31, 60 (sum 93, AM 31, CD 29)
12. 2, 16, 30 (sum 48, AM 16, CD 14)
Interestingly, all three-digit or four-digit sequences (there are 6 such sequences) have sum of numbers 3, 6, 9 or 18. 18 is the sum of numbers: 3, 6, 9. There are two sequences with sum 6 (and 6 is arithmetic mean of 3, 6, 9 sequence) and two sequences with sum 18. There are 3 three-digit sequences, 3 four-digit sequences and 6 five-digit sequences.
In addition, sequences with sum 18 are interestingly associated with 3, 6, 9:
- they have three terms,
- they have six as their arithmetic mean and middle member,
- they have nine as their sums of digits.

From digits of 6, 13, 20 a geometric sequence (ascending) can be formed:
3, 6, 12.
That sequence has sum of numbers 21 and arithmetic mean 7!
Differences between the terms of that sequence are also interesting:
- difference of middle and the smallest term is 3 (6 - 3),
- difference of the largest and middle term is 6 (12-6),
- difference of the largest and the smallest term is 9 (12-3).
Amazing! That sequence is coincident with both 21.7 and 3, 6, 9.

valkosipuli nca14 napisał:

In my previous post there were emoticons instead of number 8 and quotation mark.

Not on that forum :)

6, 13, 20 is a large coincidence. Full of arithmetic sequences and 3, 6, 9 features.

At the beginning of that month I had large coincidence associated with buying paroxetine-containing medication.

1. It was 1.2.2019.
2. I paid 11,73 PLN.
3. I bought 3 packages of drug, 30 tablets in each, one tablet contains 20 mg of paroxetine.

The coincidence is associated mainly with numbers:
- 21.7,
- 3, 6, 9
- 21, 42, 84.

From digits of price of three packages two ascending arithmetic sequences with sums of numbers 21 and arithmetic means 7 can be formed:
- 1, 7, 13
- 3, 7, 11.
These sequences are formed by non-composite numbers.

Product of digits in number 11,73 is 21 (1*1*7*3 = 21).
Product of digits in number 11 is 21 times smaller than product of digits in number 73.
Arithmetic mean of numbers 11 and 73 is 42.
Sum of numbers 11 and 73 is 84.

One package of medication has 30 tablets.
30 tablets contain about 600 mg of paroxetine.
3 packages contain 90 tablets.
90 tablets contain about 1800 mg of paroxetine.
Digits which are not zeros form numbers: 3, 6, 9, 18 (18 is the sum of 3, 6, 9).
In these results of multiplication there were one or two zeros. Two times one zero, two times two zeros. There is a zero in the date 1.2.2019 and two numbers 2 and two numbers 1.

We have three numbers associated with the medication: 30, 20 and 3. Let's multplicate two of them:
30*20 = 600
20*3 = 60
30*3 = 90
In all three multiplications at least one number 3 was present.
Digits in products which are other than zeros are all from 3, 6, 9 group (namely 9 and two 6s). There are three digits: 9, 6, 6. Their sum is... 21 and arithmetic mean is... 7!

From digits in the date 1.2.2019 three-membered arithmetic sequence with two-digit numbers can be formed:
- 19, 20, 21.
Number 19 is quite important for me. One of my first large coincidences was associated with events from 19.9.2014, from that date two numbers 19 can be formed. 19 has also "private" meanings for me.
Number 20 is associated with amount of paroxetine in one tablet in medication which was bought. It is also the arithmetic mean of the sequence: 19, 20, 21.
Number 21 is "notoriously" coincident for me. Two numbers 21 can be formed from digits of the date: 1.2.2019.

One of my first coincidences was associated with three biggest Abrahamic religions: Christianity, Islam, Judaism. It happened 19.9.2014. I photographed Jewish cementery with matzevahs with Hebrew letters and a part of Catholic cementery with crosses. It was that day of the week during which Crucifixion of Christ happened and which is considered the rest day by many Muslims. It was 19th day of the month which is dedicated to Holy Cross in Catholic religion. Two numbers 19 can be formed from the digits of the date 19.9.2014. I read before starting of the coincidences that 19 is "special" number for some Muslims. About 11 p.m. I used the smartphone which was used to make the photographs of cementeries to watch posts written by another individual who was diagnosed with Asperger's syndrome. On some of posts which I saw 19.9.2014 Catholic or Jewish cementeries were present (with crosses or matzevahs with Hebrew letters, respectively). I saw one post from 19.7.2013 (in summer time), which was the youngest of posts in which that person with ASD wrote about cementeries.

Today I noticed that in date 19.7.2013 are the same digits like in the date 7.3.2019 (today). They are: 0, 1, 2, 3, 7, 9.
Five largest numbers (except zero) are highly coincident for me. From digits: 1, 2, 3, 7, 9 four-membered arithmetic sequence (AS) can be formed! It is: 1, 3, 9, 27. Quotient - 3.
Four largest numbers (except zero and one) are also coincident. From digits: 2, 3, 7, 9 three-membered AS can be formed: 3, 9, 27. Its sum is 39 and arithmetic mean is 13. Sum of digits in that sequence is 21 and arithmetic mean of sums of digits in these three numbers is 7!

I had coincidences with numbers associated with certain book. I read about some of them in second half of 2017. It looks dangerous for my religion! But I had coincidences with it. It looks from the biblical perspective that Quran was written by demons, I do not want to promote heresies, but I had quite many coincidences with something considered miracles (especially numerical, mathematical) of the book which is considered holy by Muslims. I read a lot about Quran's miracles (and knew about some of them before IX 2014) last time, I admit that they can look impressive, but belief in infallibility of Bible do not allow to consider Quran as final book from The Almighty. It is interesting why I have many coincidences with numerical miracles of Quran. I may have ideas that I have to spread knowledge about its mathematical miracles to the entire world and that I will destroy Christianity due to numerical miracles of Quran. I do not want to deprave anyone! It looks very bad and dangerous. Something like combination of reference, grandiose and messengership delusions.

So first coincidence with Quran mathematical miracles was associated with the triplets:
- 7, 29, 139 (numbers of: verses, words and letters in first surah),
- 7, 11, 13 (sums of digits in numbers forming triplet 7, 29, 139)
- 7, 2, 4 (sums of digits in sums of digits in numbers 7, 29, 139).

First triplet:
- three numbers,
- six digits,
- only one digit occurs two times and that digit is 9,
- from first digits of the numbers in 7, 29, 139 phrase "21 7" can be formed,
- sum of digits other than 2, 1 and 7 (9, 3, 9) is 21 and arithmetical mean of these three digits is 7 (again coincidence with 21 7),
- product of six digits forming that triplet is divisible by 7 and 21 or 3, 6, 9; it is 3402 (21*3*6*9).

Five "sorts" of digits are found in triplet 7, 29, 139: 1, 2, 3, 7, 9. Number 12379 is a prime.

I found four arithmetic sequences with prime numbers as extreme members and common differences which are formed by the same digits (in the sequences are present such digits: 1, 1, 2, 3, 4, 7):
11, 24, 37 (CD 13),
11, 42, 73 (CD 31),
13, 42, 71 (CD 29),
17, 24, 31 (CD 7).

1. Sums of numbers in these sequences are 72 or 126, the same as in three-membered arithmetic sequences with middle terms 24 or 42 formed from digits: 1, 2, 3, 3, 4, 5.
2. Arithmetic means in four sequences above are 24 or 42, just like in three-membered arithmetic sequences with middle terms 24 or 42 formed from digits: 1, 2, 3, 3, 4, 5.
3. Sums of extreme members in four sequences above are 48 or 84, just like in three-membered arithmetic sequences with middle terms 24 or 42 formed from digits: 1, 2, 3, 3, 4, 5.
4. Sums of digits in numbers forming four sequences mentioned above form ASes with sum of numbers 18 and arithmetic means of these numbers 6 - the same is in the case of "Tesla's arithmetic sequence" (3, 6, 9) and the sequence 33, 42, 51.
5. Sums of numbers in these four sequences divided by arithmetic means of sums of digits in numbers forming four sequences above are 12 or 21, like in the case of sequences: 15, 24, 33; 33, 42, 51; 13, 24, 35; 31, 42, 53 and 12, 24, 48; 21, 42, 84.
6. Sums of numbers in these four sequences divided by sums of digits in numbers forming four sequences above are 4 or 7, like in the case of sequences: 15, 24, 33; 33, 42, 51; 13, 24, 35; 31, 42, 53 and 12, 24, 48; 21, 42, 84.
7. There are 3 numbers in all of four ASes and these four sequences have 6 digits in any of them.

So these four sequences are in some way coincident to 21.7; 3, 6, 9 and 21, 42, 84. Large coincidence. 21.7 and 3, 6, 9 may look as the keys for many coincidences.

In four sequences above five "sorts" of digits appears. They are: 1, 2, 3, 4, 7. 12347 is an additive prime number.

15.4.2019 I have large coincidence associated with four five-digit three-membered ascending arithmetic sequences (ASes) formed by five of digits from that date. Almost year ago, in the same day of week, 16.4.2018, I had another large coincidences associated with something which I wrote in the notebook.

These four sequences are:
- 5, 12, 19 (common difference 7),
- 9, 12, 15 (CD 3),
- 1, 15, 29 (CD 14),
- 9, 15, 21 (CD 6).
Two first sentences were quite well known to me before 15.4.2019, I noticed that two with arithmetic means (AMs) 15 also can be formed by digits 1, 1, 2, 5, 9 at 15.4.2019, maybe at least in the case of 1, 15, 29 it was my first noticing it in my life.

Product of CDs of ASes with AMs 12 is 21 (7*3). 7 is the smallest number in the phrase "21 7" and 3 is the smallest number of AS 3, 6, 9.
Product of CDs of ASes with AMs 15 is 84 (14*6). 14 is arithmetic mean of numbers 21 and 7 and 6 is AM of numbers 3, 6, 9.

Extreme terms of the sequence 9, 15, 21 are the largest numbers in the phrases: 21 7 (21) and 3, 6, 9 (9).

Product of 21 and 84 is 1764, which is 42*42. 42^2 is also the product of products of arithmetic means and smallest numbers in phrases: 21 7 (AM 14, smallest number in the phrase 7, product of these two - 98) and 3 6 9 (AM 6, smallest number in the phrase - 3, product of these two - 18).

I had next large coincidence with three very coincident phrases:
- 21 7
- 3, 6, 9
- 21, 42, 84.

I had another coincidence with alleged numerical miracles in islamic scripture last times. I found such a page: https://pl.scribd.com/document/36754980 … Primalogy. On it such a text can be found:

Quran Primalogy
New Discovery – Nov, 2nd 2017
Primalogy structure in the number of words vs chapters

Fact #1 : There is 23 (prime and also additive prime) chapters with number of words as primes.
Fact#2 : The first 11 (prime and also additive prime) chapters total words number is 797 (prime and also additive prime).
Fact#3: The last 11 (prime and also additive prime) chapters total words number is 10037 (prime and .also additive prime).
Fact#4 : If we combine 797 and 337 (center chapter number of words) and 10037,we obtain 79733710037 which is prime and also additive prime.
Fact#5 : The total number of words of all the chapters is 11171 (prime and also additive prime).

036:053 Soon We shall show them Our signs in the horizons and in their own souls until it becomes clear to them that He is the Real. Is it not sufficient that your Lord is witness to all things?

So the Quran looks like a masterpiece of the fallen angels for a Christian...

This text is very coincident with:
- 2, 5, 11, 23, 47 (first five Thabit numbers which are additive primes, they are known for me since XI 2018);
- 27.4.2017;
- 24.7.2017;
- 11, 23, 47, 83, 131, 191, 263 (sequence of 7 additive prime numbers with additive primes being three first Thabit numbers as the sums of digits).

Almost all bolded numbers (23, 11, 797, 10037, 79733710037, 11171) in the text mentioned above are additive primes with additive primes being Thabit numbers as their sums of digits!
There is only one exception - 337, which has non-additive prime 13 as the sum of digits.
3, 7, 13 are three numbers associated with number 337 (its digits and sum of digits), sum of these three numbers is 23 - Thabit prime with another Thabit prime as sum of digits.
In addition, 13 is the sum of 1st and 3rd Thabit number - 2+11.
Two dates from 2017 are coincident with numbers 2, 11 and 23. 27.4.2017 and 24.7.2017 have sums of digits 23 and have sums of numbers being 2048. 2048 is 11th power of 2 (2^11)! What is more, the date in the text is Nov 2nd, 2017 - 2.11.2017! Numbers 2 and 11 again! In addition, two (2) numbers 11 can be formed from digits of last bolded number in the text above (from digits of 11171)! Amazing!

I noticed that in the decade 2011 - 2020 there were 21 dates with all six digits: 0, 1, 2, 3, 7, 9 in them. These six digits are present at least once in prime numbers bolded on the slide about chapters of Quran with prime numbers as sums of words in them.

These dates are:
* in 2013 (6 dates):
1. 09.07.2013
2. 19.07.2013
3. 29.07.2013
4. 07.09.2013
5. 17.09.2013
6. 27.09.2013
* in 2017 (7 dates):
1. 09.03.2017
2. 19.03.2017
3. 29.03.2017
4. 03.09.2017
5. 13.09.2017
6. 23.09.2017
7. 30.09.2017
* in 2019 (8 dates):
1. 07.03.2019
2. 17.03.2019
3. 27.03.2019
4. 03.07.2019
5. 13.07.2019
6. 23.07.2019
7. 30.07.2019
8. 31.07.2019

Numbers of dates in years form arithmetic sequence: 6, 7, 8, which has sum 21 and arithmetic mean 7.

On one page mentioned earlier there were seven numbers which were bolded (bolded by me below have not Thabit number as the sum of digits, underlined have not Thabit numbers as the number of digits in them):
- 23
- 11
- 797
- 10037
- 337
- 79733710037
- 11171
Most of numbers above are not only additive primes, but also have Thabit numbers as the sum of digits (6 of 7) and Thabit number as number of digits (5 of 7).

Let's look at the only number which has not 321 number (another term for Thabit number) as the sum of digits - 337:
1. There is one digit which occurs only once in that number - 7.
2. There is one digit which appears more than one time - it is 3.
3. Product of 3 and 7 (single digits occurring in number 337) is 21 and sum is 10 (which is the same sum as in the case of 21 7).
4. Number of digits in number 337 is 3.
5. Sum of digits which repeat themselves is 6 (3+3).
6. Product of digits which repeat themselves is 9 (3*3).
7. Product of all three digits in 337 is divisible by 7 and 21 and it is 63.
8. In number 63 occurs only digits 6 and 3, sum of digits in 63 is 9.
9. Product of digits in number 63 is 18, which is the sum of numbers 3, 6, 9.
So number 337 is quite coincident with 21 7 and 3, 6, 9! Three digits, many coincidences.

Two numbers which have not 321 number as number of digits (797 and 337) are also coincident with 21 7 and 3, 6, 9...
1. Both numbers have the same number of digits - 3.
2. Two three-digit numbers have together 6 digits.
3. Sum of these six digits is 36 (6*6, 6^2) and arithmetic mean of these digits is 6 - the same as arithmetic mean of the sequence 3, 6, 9.
4. Only one number appears only once in all six digits forming these two numbers together - that number is 9.
5. Arithmetic mean of sums of digits in these two numbers is 18 (3+6+9), it is ((23+13):2).
6. Only one of digits appears in both numbers 797 and 337 - that digit is 7.
7. Sum of digits which appears in both numbers together (two 7s from 797 and one 7 from 337) is 21, in addition, by concatenating numbers two (2) and one (1) we will receive 21; furthermore, sum of 7s in 797 is 14 and sum of 7s in 337 is 7, by concatenating 14 and 7 we will receive 147 (21*7).
8. Products of 7, 9, 7 and of 3, 3, 7 have the same sum of digits (9 - they are 441 and 63, respectively) and are divisible by 21; in addition, larger of these products is 7 times larger than smaller.
9. One third of all six digits in numbers 797 and 337 together is 3 (two 3s from six digits).
10. Sum of numbers 797 and 337 is 1134, which is a divisor of products of digits: 2, 1, 7, 3, 6, 9 (2268 - it is 1134*2) and a divisor of product of numbers: 21, 7, 3, 6, 9 (23814 - it is 1134*21).

About a year ago I noticed four "miraculous" arithmetic sequences which have prime numbers as extreme members and common differences:
- 11, 24, 37 (common difference 13),
- 11, 42, 73 (CD 31),
- 13, 42, 71 (CD 29),
- 17, 24, 31 (CD 7).

When we sort digits froming these sequences ascendingly and then separate its digits into two-digit numbers, we will receive three additive prime numbers:
1, 1, 2, 4, 3, 7 --> sorting: 1, 1, 2, 3, 4, 7 --> forming two-digit numbers: 11, 23, 47
Sums of digits in these three numbers are 2, 5, 11.
2, 5, 11, 23, 47 are five consecutive 321 numbers (Thabit numbers), which are also additive prime numbers.

In addition, 11, 23, 47 are three first terms of seven-membered sequence (which is not arithmetical or geometrical) of additive prime numbers which have prime numbers as sums of their digits, in addition, all these sums of digits are Thabit numbers (2, 5 or 11)! The sequence is:
- 11 (sum of digits 2),
- 23 (SD 5),
- 47 (SD 11),
- 83 (SD 11),
- 131 (SD 5),
- 191 (SD 11),
- 263 (SD 11).

My biggest coincidences are 21.7 and 3, 6, 9. Coincidences with above numbers are in some way associated with two "pillars" of my coincidences. There are 7 numbers in the sequence 11, 23, 47, 83, 131, 191, 263. Sum of digits is 56 and 56 is 7*7+7 and sum of numbers is 749 (which is number formed by concatenating of 7 and result of multiplication 7*7), so two times we have three 7s which have the sum of digits 21.

Last time I had coincidences associated with certain encounters in a Russian computer game. First coincidences were associated with something which happened 14.10.2018, when I saw encounter with Big W (W - letter symbolising certain word). The date 14.10.2018 is coincident, because from two last digits of that date numbers: 14, 10, 18 can be formed, these numbers sorted ascendingly form arithmetic sequence with sum 42 and arithmetic mean 14 (and 14 is 21-7). Big W is also associated with certain city which was important in my life. During work before 14.10.2018 I had fantasies about encounter with something very similar to Big W in very similar game!

In the encounter "Big W" there were: corpses, two items which have English names starting from the same two letters and having the same numbers of letters in their names. And, of course, there was big W.
Few days after seeing Big W first time I had strange coincidences associated with the item (which I nicknamed "V"). I typed transliteration of Russian name of certain creature from the Russian game and I found Polish word for V in third link. It was 18.10.2018. That day I saw English name of V in certain Polish Internet page. Next day I probably though about V or Big W in a large shop and "just" after that thinking I heard advertisement of two Vs! Some days ago I probably also thought about V or Big W and... I heard advertisements of two Vs next time!

Maybe about 3 months ago I saw two another specific encounters in the same game. Name of one of them was short and was the word often seen in a certain IQ test (maybe I even made that test the same day as I saw the encounter).

I also saw another (third) encounter. Let's name it "T". It has two-word name and was the source of coincidence from 4.5.2019. 4.5.2019, about 5 p.m., I wanted to check if there was image of black cat on the item found in remains of body found in "T". There was black cat, even with yellow eyes.

"Few moments later", about 5 p.m. 4.5.2019, I typed in Google (somewhat erroneous) phrase associated with another computer game. In results for that phrase there were:
- six-letter word present in the title of film with T (at the beginning of word in description of link to a certain film), in the title of the film with T encounter there was also word which has six first letters the same as six-letter word mentioned just after "-",
- word "Big" (association with Big W),
- four-letter word present in the name of T (second word in the name of T), the word mentioned here has the same number of letters and the same second letters as the word for W.

In two encounters - Big W and T - there were some similarities (coincidences):
- most coincidences were thanks to items found with corpses or body remains - V in the case of Big W, item with black cat image in the case of T, there was only one thing with them,
- very coincidently, the dead men in both encounters had two-word descrpitions (names) and second words in their names have the same number of letters (small, it can be counted using fingers of one palm), the same first letter (in English language there is relatively small number of words starting by that letter) and the same third letter,
- certain item could be found in all two encounters (and also in third, which was coincident 10.5.2019, when I saw Polish word for its name in YouTube (I noticed that word just after(?) seeing the encounter).

The coincidence from 4.5.2019 is thanks to black cat.

3.5.2019, at evening, at early night, I had another coincidence with black cat - on Facebook I saw a profile (let's name it "U") which name was the same as the name of certain profile which I saw in 2015 and was associated with certain Aspijka and black cat. In one of comments in U I saw... black cat!
On certain forum before seeing I wrote about certain institution (I used its abbreviated name two times in one of posts) and the logo of that institution was found in U also!
On U I found Polish word for autism, I did not notice it 3.5.2019, maybe 4.5.2019.
Before finding U, I saw avatars of certain Aspijkas which had black cats in them! Two of them were from the same city.
"Just" before finding U, I looked for certain three-lettered word in Internet and I found that word at the beginning of the code of U profile (not at its name, but in the "description" like https://wrongplanet.net/forums), that word was a part of one single word consisting of four words (without spaces, dots).

In spring 2018 I discovered four arithmetic sequences which have prime numbers as their extreme terms and common differences. They are:
- 11, 24, 37 (common difference 13),
- 11, 42, 73 (CD 31),
- 13, 42, 71 (CD 29),
- 17, 24, 31 (CD 7).
Two numbers repeated themselves in extreme terms of these sequences and their common differences. They are 13 and 31.

If we sort digits in one of four arithmetic sequences mentioned above ascendingly, we will receive 1, 1, 2, 3, 4, 7. When we form two-digit numbers from these digits, we will have 11, 23, 47.
11, 23, 47 - three additive prime numbers. They are also consecutive numbers (also known as 321 numbers) - third, fourth and fifth. Their sums of digits are also additive primes which are consecutive Thabit numbers - 2, 5, 11.

What is more, 11, 23, 47 are first three members of sequence of seven additive prime numbers (which is not arithmetic or geometric): 11, 23, 47, 83, 131, 191, 263. Sums of digits in that sequence are prime numbers, which makes such a sequence of prime numbers pretty rare. In addition, these sums are also 321 numbers (2, 5 or 11)!

In second half of 2017 I read about prime numbers in the book which is considered holy by certain religion (for a Christian such regularities in book of other religion look rather as a proof of satanic autorship of that book). Two triplets consisting of prime numbers were quite important:
- 7, 29, 139,
- 7, 11, 13.

Sum of numbers in first triplet is 175 (which is not a prime number), the sum of digits in that number is 13. Sum of digits in first triplet is 13.

Second triplet looks more coincident: it has sum of digits 13 and sum of numbers 31.

Third triplet might be formed: 7, 2, 4. Sum of digits in it is 13.
There is something very coincident for me with these numbers...

In 2017 I had full going to day hospital. It lasted from 27.4.2017 to 24.7.2017.

What are numbers meaning day and month in these dates???
27 and 4 or 24 and 7!

What are sums of digits in phrases "27.4" and "24.7"?
13.

What are sums of numbers in phrases "27.4" and "24.7"?
31.

Coincidence is due to two "mirror" prime numbers - 13 and 31.

7, 29, 139 and 7, 11, 13 are coincident also with 21 7 and 3, 6, 9:

1. First digits in numbers in first triplet are 7, 2, 1; from that digits 21 7 can be formed.
2. Digits other than first in first triplet are from the group 3, 6, 9 - they are two 9s and one 3; sum of digits: 9, 9, 3 is 21 and their arithmetic mean is 7.
3. Triplet, as the name says, consists of 3 numbers; number of digits in 7, 29, 139 is 6.
4. Only one digit repeats oneself in triplet 7, 29, 139 - that digit is 9.
5. Product of digits in 7, 29, 139 is 3402 - that number is divisible by 7, 21 and 42; in that number there is one number 3 and sum of other digits is 6 (in addtition, these digits (4, 0, 2) sorted ascendingly or descendingly form an arithmetic sequence), sum of digits in 3402 is 9.
6. Product of repeating digits in 7, 29, 139 is 81, the number 81 is a natural power of both 3 and 9.
7. Sum of repeating digits in 7, 29, 139 is 18 (3+6+9), it is formed by the same two digits as 81.
8. Product of digits which do not repeat oneself in 7, 29, 139 is 42 (7*2*1*3), it is divisible by 7 and 21.
9. One number repeats oneself in both triplets; that number is 7.
10. Product of digits in triplet 7, 11, 13 is 21.
11. Product of digits in second triplet is 162 (3*6*9) times smaller than product of digits in first triplet.
12. Product of non-repeating digits in 7, 11, 13 is 21 (7*3).
13. Product of repeating digits in 7, 11, 13 is 1 (1*1*1) and it is 21 times smaller than product of non-repeating digits.
14. Sum of repeating digits in 7, 11, 13 - 3 is 6 times smaller than sum of repeating digits in 7, 29, 139 - 18; sum of numbers 3 and 18 is 21 (and 21 is divisble by 7).

I found some other quartets of arithmetic sequences (ASes) with common differences (CDs) 7, 29, 13, 31 which could be formed from digits of the dates of the visits with psychiatrists during which I was (most probably) diagnosed with F84.5, F42.2, F21.

First of these dates is 28.4.2015. ASes formed from digits of that date are:
- 2, 15, 28 (CD 13),
- 8, 15, 22 (CD 7),
- 20, 51, 82 (CD 31),
- 22, 51, 80 (CD 29).

Next date: 30.9.2016. From that date two quartets of ASes with CDs 7, 29, 13, 31 can be formed!
First quartet:
- 0, 13, 26 (CD 13),
- 0, 31, 62 (CD 31),
- 2, 31, 60 (CD 29),
- 6, 13, 20 (CD 7).
Second quartet:
- 9, 16, 23 (CD 7),
- 3, 16, 29 (CD 13),
- 30, 61, 92 (CD 31),
- 32, 61, 90 (CD 29).

Third date: 19.4.2017. Sequences:
- 7, 14, 21 (CD 7),
- 1, 14, 27 (CD 13),
- 10, 41, 72 (CD 31),
- 12, 41, 70 (CD 29).

Sequences formed by digits of 28.4.2015 have the same sums of digits as sequences from "miraculous" quartet, these sums form arithmetic sequences with sums of numbers 18 and are three-membered - they are in that way similar to "Tesla's arithmetic sequence" - 3, 6, 9:
- 2, 15, 28 - sums of digits 2, 6, 10 - CD 13,
- 8, 15, 22 - sums of digits 8, 6, 4 - CD 7,
- 20, 51, 82 - sums of digits 2, 6, 10 - CD 31,
- 22, 51, 80 - sums of digits 4, 6, 8 - CD 29.
Let's see at "miraculous" quartet:
- 11, 24, 37 - sums of digits 2, 6, 10 - CD 13,
- 17, 24, 31 - sums of digits 8, 6, 4 - CD 7,
- 11, 42, 73 - sums of digits 2, 6, 10 - CD 31,
- 13, 42, 71 - sums of digits 4, 6, 8 - CD 29.
The same sums of digits and CDs in corresponding sequences!
There are also 4 ASes with 33 as middle term and arithmetic mean which present such a phenomenon:
- 20, 33, 46 - sums of digits 2, 6, 10 - CD 13,
- 26, 33, 40 - sums of digits 8, 6, 4 - CD 7,
- 2, 33, 63 - sums of digits 2, 6, 10 - CD 31,
- 4, 33, 62 - sums of digits 4, 6, 8 - CD 29.
Arithmetic means and middle terms of sequences above are: 15, 24, 33, 42, 51. They form five-membered AS with CD 9. Difference between the largest and the smallest term of that sequence is 36. Number "36" consists of digits 3 and 6 and has product of digits 18 while its sum of digits is 9. So we have coincidence with terms of "Tesla's arithmetic sequence" (3, 6, 9) and sum of members of that sequence (18). There is also another coincidence with 3 and 6 regarding that five-membered term: sums of digits in numbers forming it are 6 and arithmetic means of digits forming that numbers are 3 (sum is 6, number of digits is 2).

There is something interesting in sequences formed by digits of 30.9.2016. Sequences with sums of digits 12 have middle terms and arithmetic means 13 or 31 and these two "mirror" prime numbers are very coincident for me - are present in "miraculous quartet" and differences of sequences forming it, are associated with two triplets (7, 29, 139 and 7, 11, 13) and with 27.4 and 24.7!
Another 4 ASes formed by digits of 30.9.2016 have sums of digits 21 and arithmetic means of sums of digits in numbers 7, these sums of digits form arithmetic sequences. So here is coincidence with 21 7.
From digits of that date two another ascending arithmetic sequences with arithmetic means 7 and 13, respectively, can be formed - 2, 9, 16 and 6, 19, 29. 7 and 13 are present in the triplet 7, 11, 13.

Sequences formed from digits of 19.4.2017 are also somewhat interesting. Two of them have digits 2, 1, 7 (the same as in 21 7) as digits of extreme terms: 7, 14, 21 and 1, 14, 27, in addition, they have the same arithmetic means as the phrase 21 7 - 14.

14.10.2018 I saw (first) "specific" encounter in certain computer game. In it there was body of a man which has four-letter word at the end of his "name" in that game. In 2019 I saw second, another "specific" encounter from the same game and there were remains of body of another man, who had another four-letter word in the end of the name of himself. Both words not only have the same number of letters, but also have the same first and third letters! And the number of four-letter words with these first and third letters is relatively small! I had large coincidences due to these encounters.

Today I found that the author of the songs which I heard some time ago has four-letter name with the same first and third letters. I saw that word after that in certain TV programme, about 9:30 p.m. It was a surname. The person had name which had the same two first letters as second word in the name of second encounter mentioned earlier. Shortly after coincident surname, a coincident name was visible in TV - it has the same first, second and fourth letters as the name in first encounter in itself the name and was a four-letter word. It was not the end of coincidences with four-letter words on the same letter today evening... Today I thought about certain other four-letter word with the same first and third letters as words in the name of men from two "specific" encounters and I saw that word on certain forum about 10 p.m. Even that was not the end of coincidence. I typed certain three-word Polish phrase about 10 p.m. and under first link I saw Polish verb (in third person, present time) which was four-lettered, had the same first three letters as the word at the end of the name of man in second encounter! I also typed phrase associated with another "sort" of the game in which two encounters mentioned earlier were present and in third link I noticed... the word which was present in the name of man from first encounter!

Some days ago I saw a screenshot from Russian computer game on which something giant was visible. There was also "descrpition" or something alike in one of corners of the screenshot. That giant think had the name which have three letters and the same last letter as first word (a three-letter one) in the name of first specific encounter mentioned in previous post. The name of giant thing (a noun) was present in two places at the screenshot. What is more, the word present in the name of Big W (noun symbolised by W) encounter appears to appear three times on the screenshot!

I noticed numbers 5, 23, 421 somewhere. 5 and 23 were in "first" part, 421 - in other. 5 and 23 are Thabit numbers and digits from three-digit number form a geometric sequence with sum of digits 7, are the same as second digits in numbers of sequence: 84, 42, 21. From digits of 421 numbers 21 and 42 can be formed, 4 and 21 also can be formed at the same time (product of 4 and 21 is 84).

All three numbers are additive prime numbers with additive prime numbers as their sums of digits! What is more, the sum of these three numbers is an additive prime number also (449). Sum of digits in 5, 23, 421 is a prime number (although not additive one) and is the same as sum of digits in the sum of these three numbers (4+4+9 = 17 = 5+2+3+4+2+1). There are six digits in the phrase: 5, 23, 421, they are: 1, 2, 3, 4, 5, while 2 appears two times. 33, 42, 51 - also six digits, also: 1, 2, 3, 4, 5 (although 3 here appears two times, not 2).

Triplet: 5, 23, 421 is ever more coincident with prime numbers than 7, 29, 139. Sum of 5, 23, 449 is a prime number, even an additive one (449 - sum 17, a prime), while sum of numbers: 7, 29, 139 is a composite number divisible by 5 and 7 (175). Sums of digits in 5, 23, 421 are 5, 5, 7 - three additive prime numbers (one repeats oneself - 5, it is a Thabit numbers) while not all sums of digits in the case of 7, 29, 139 not all sums of digits are additive prime numbers (7, 11, 13) - 13 has sum of digits 4 and 4 is not a prime number (it is divisible not only by 1 and 4, but also by 2), from divisors of 4 number 421 can be formed.

Number formed by concatenation of 5, 23, 421 is not a prime number (although other combination of 5, 23, 421 - 542123 formed by 5, 421, 23 is a prime). 729139 formed by 7, 29, 139 is a prime, but 713929 is not.
71113 (formed by 7, 11, 13) is not a prime, 557 formed by concatenating of sums of digits in 5, 23, 421 is a prime.
5, 5, 7 - these numbers form prime factorization of the sum of numbers 7, 29, 139, which is 175.
I experienced coincidences with two triplets of additive prime numbers - 5, 23, 421 and 7, 29, 139.

I read about 5, 23, 421 on certain page associated with the game very similar to that with Big W specific encounter.
I probably saw also screenshots of two other specific encounters from Russian game with Big W. In one of them there could be found numbers 14 and 6 - 14 is arithmetic mean of 21 and 7 and 6 is arithmetic mean of 3, 6, 9; in addition, the product of 14 and 6 is 84. On second screenshot from another encounter there was a person with the name present in the name of certain other specific encounter (in which there was an item with black cat) in that game.

Today I saw the word which has four letters and has the same first, third and fourth letters as last word in the name of the man whose remains were present in the special encounter in which item with black cat could be found.

14.10.2018 I saw encounter with Big Hole in certain film about Russian game (which contains much evil content, so I do not want to promote it). On the film the word "as" appeared often in lower left corner. It is associated with certain rude word for a shameful part of body, which has only one letter more and these two letters are in the chemical symbol of chemical element in which name first four letters form impolite word in British English. Big Hole was probably an allusion to the anus of extraterrestrial nitrogen-based lifeform to which shampoo was ejected in the movie "Evolution" from 2001. It was one of few films which I watched. Film contains bad content, the game in which allusions to it were looks even worse.

In the encounter there were rock and rope. Words: "rock" and "rope" have the same number of letters and the same first two letters. I noticed that in Polish and English there are pairs of obviously vulgar words (referring to genitals, which makes them really immodest) which have the same first letters and the same number of letters and the same meaning.

In Big Hole encounter there was body of dead Ira Kane. One item was with that body - shampoo. The same night I saw fight with creatures which have the same first two letters in their Polish name (in first word in the name) as two first letters in Polish word for shampoo. Singular of the word at the beginning in the name of that creatures has three last letters the same as Polish word for shampoo.

18.10.2018 I typed in Google transliteration of Russian name of certain creature from a creature from the game with Big Hole encounter. In third link I saw Polish word for shampoo, that day (night, more precisely) I saw word "shampoo" in certain article in Polish. 19.10.2018 I thought about shampoo or encounter with Big Hole and few moments later I heard... advertisement of two shampoos! 22.10.2018 I thought about them again and... next time heard advertisement of shampoos in the same shop!

I found triplet 7, 29, 139 before I found triplet 5, 23, 421.

There are two coincident triplets: 7, 29, 139 and 5, 23, 421.
Sum of first numbers (and digits in them) in them is:
7+5 = 12.
Sum of digits in second numbers forming these triplets:
2+9+2+3 = 11+5 = 16.
Sum of digits in third numbers forming these triplets:
1+3+9+4+2+1 = 13+7 = 20.
Three sums mentioned above form arithmetic sequence - 12, 16, 20. Its sum - 48, arithmetic mean - 16, sum of digits - 12.

Sum of digits in triplet 7, 29, 139 is 31 and sum of digits in triplet 5, 23, 421 is 17. Difference between 31 and 17 is 14 and is the same as difference between 21 and 7.
Sum of digits which repeat oneself in triplet 7, 29, 139 is 18, because only 9 is repeating there. 9+9 = 18.
Sum of digits which repeats oneself in triplet 5, 23, 421 is 4, because only 2 is repeating there. 2+2 = 4.
Difference between 18 and 4 is also 14 (the same as difference between 21 and 7).

Sum of digits in 139 is 13 and sum of digits in 421 is 7. Numbers 13 and 7 are common differences of two of four arithmetic sequences from "miraculous quartet" (11, 24, 37; 17, 24, 31). 13 and 7 concatenated form 137. It is an additive prime number which was the nickname of certain user on certain Polish forum with whom I chatted certain night in 2019. Product of digits in 137 is 21, one of digits is 7.

From digits of 31 and 17 two interesting arithmetic sequences can be formed: 1, 7, 13 and 3, 7, 11. They have sum of digits 12, sum of numbers 21 and arithmetic mean of numbers 7. Products of digits forming these sequences are the same as their sums (21).

There is another interesting thing in triplets 7, 29, 139 and 5, 23, 421 (combined).
Sum of first numbers in these two triplets is 12 (7+5).
Sum of second numbers in these two triplets is 52 (29+23).
Sum of third numbers in these two triplets is 560 (139+421).
We have three numbers: 12, 52, 560.

There is something very coincident in them.
Sum of digits in first sum is 3.
Sum of digits in second sum is 7.
Sum of digits in third sum is 11.
Numbers: 3, 7, 11 form an arithmetic sequence with sum of numbers 21, arithmetic mean of numbers 7, sum of digits 12 and common difference 4.
Numbers: 3, 7, 11 are additive prime numbers.
Product of digits in 3, 7, 11 is 21 and is the same as the sum of numbers forming that sequence.
From digits of 3, 7, 11 another arithmetic sequence with sum 21 and arithmetic mean 7 can be formed: 1, 7, 13. It is formed by non-composite numbers, like 3, 7, 11.

12, 52, 560 - there are 7 digits and their sum is 21.
Something interesting happen when we consider numbers in F21, F42.2, F84.5. If we leave number in code without a dot as it stands and multplicate numbers before dots by numbers after them, we receive:
- 21 (from F21)
- 84 (42*2, from F42.2)
- 420 (84*5, from F84.5).
What we received? A triplet very similar to 12, 52, 560, because:
1. Both 12, 52, 560 and 21, 84, 420 are composed from two two-digit numbers and one three-digit number.
2. Both triplets have number with 0 as last digits in the largest number in them.
3. Both triplets have sums of digits 21 and are composed by 7 digits.

Sum of 12, 52, 560 is 624 and sum of 21, 84, 420 is 525. Both numbers have sum of digits 12 and arithmetic mean of digits 4. 12 and 4 is quite similar to 21 and 7 and coincident with it, because:
1. Both 12.4 and 21.7 have the same quotient - 3 (12:4 = 3, 21:7 = 3).
2. Both are composed by two-digit number and one-digit number, digits forming two-digit number are the same in both phrases.
3. Both have products of digits which are their arithmetic means and differences between larger and smaller numbers:
- 1*2*4 = 8 = 12-4 = (12+4):2,
- 2*1*7 = 14 = 21-7 = (21+7):2.
4. Sums of digits in two-digit number multiplicated by one-digit number give two-digit number:
- (1+2)*4 = 3*4 = 12,
- (2+1)*7 = 3*7 = 21.
5. Absolute values of products of differences of numbers in larger numbers (12 and 21) and smaller numbers (4 and 7) are smaller numbers (4 and 7):
- (1-2)*4 = (-1)*4 = -4, |-4| = 4,
- (2-1)*7 = 1*7 = 7.

I heard an advertisement of a shampoo again in the same shop, but I do not remember when. Certain day I found a comment about certain word which has the same two first letters as Polish word for shampoo and the same fourth, fifth, sixth, seventh letters as third, fourth, fifth, sixth letters in Polish word for shampoo. That word was on the top of list of the comments in certain dictionary. On that list there was also entry about word(?) "V" and V was the nickname of shampoo which I gave it in certain posts.

Before 14.10.2018, during work, I had fantasies about special(?) encounter "Big A**" (Polish: "Wielka D**a", big buttocks - they are immodest so not imagine it) in the game very, very similar to those from the film from 14.10.2018. "D**a" is also reconstructed Proto-Slavic word which means "hole", so vulgar word for buttocks might earlier mean just "opening".

The coincidences with Big Hole and shampoo were not the only ones caused by a Russian game. Probably in I - II 2019 I saw special encounter named "Next" in the same game, in it rock was present. Some time later I made IQ test some times and in it there was button Next. Probably in V 2019 I saw random encounter "Next" again and few moments later I noticed word "Następny" in Polish YouTube ("następny" means "next").

Another very coincident special encounter was "Dear John". It caused large coincidence 4.5.2019, about 5 p.m. In this encounter there was rock and remains of Sergeant Kong, in which the item with black image of cat was found. 4.5.2019 I wanted to look at the item because I wanted to check if there was black cat on it. Some moments ago I typed phrase chichen-kicken in Google and saw link to a film named "Legend of Big John" in results. The film with item with black cat had phrase "legendary legend" in its title.

The phrase typed 4.5.2019 was chicken-kicken, not chichen-kicken.

The post to which previous post related is one from 2019-05-22, 03:14:25.

13.5.2019, at afternoon, about 6 p.m., I started to think about words "Kane" and "Kong" and two other words which are similar to them (having "k" as first letter, "n" as third letters and being four-letter words) - "Kent" and "kont" (Polish genitive plural of "konto" ("account")). I had coincidences with these two words about 3 - 4 hours later. About 9:30 p.m. I saw word "Kent" in TV (and the word "Kate", which has four letters and has three of four letters the same and at the same places as word "Kane") some moments later). About 10 p.m. I saw word "KONT" on certain forum on which I wrote often days before 13.5.2019. It is not the end of coincidences! I typed phrase rozkosz koincydencji epickich ("bliss of epic coincidences) and in description of first result I saw word "kona" (Polish for "he/she/it is dying"), which has four letters and three first letters the same as word "Kong". Moreover, I saw results associated with computer game very similar to that with remains of Ira Kane and Sergeant Kong and in third link there was word "Kane"!

In V 2019 I saw screenshots of two other specific encounters from game with Big Hole and "Dear John". These encounters were "Giant Egg" and "Crossroads". First was really coincident for me, second was described in Polish guide as having reference to numbers 14 and 6 (14 is arithmetic mean of 21 and 7 and 6 is AM of 3, 6, 9, arithmetic sequences with common differences 14 (1, 15, 29) and 6 (9, 15, 21) can be formed from digits of the date 13.5.2019, these sequences have the same arithmetic mean).
In lower left corner in Giant Egg screenshot there was text:
* You see: Egg.
* This heavy egg stuck in the hole and now will not
move anywhere.
* You see: Hole.
* Obviously, a hole dug by animals. Hardly you'll fit
inside.
Which nouns repeat themselves in the text above? Only "Egg" and "Hole"! Word "egg" has three letters and "g" is its last letter, just as in the case of the word "big". "Big Hole" springs to mind! Bingo! So the Big Hole was the mine of coincidences. In South Africa there is place named "Big Hole" in place where some time ago was diamonds mine.

Some time ago I read about some sort of "eggs" (references to popular culture) in game which was very similar to the game with Giant Egg and Big Hole. First "egg" was about the logo on which three numbers were present: on left side 5 and 23, on right number 421. I consider that "egg" "Giant Egg" (Polish: "Wielkie Jajo", "Gigantyczne Jajo"). There were letters also, but numbers are much more interesting. These three numbers were very coincident for me.

There are similarities between triplet 5, 23, 421 and another triplet which was coincident for me earlier - 7, 29, 139:
1. 5, 23, 421 are prime numbers, like 7, 29, 139.
2. They are three additive prime numbers (sums of digits are primes) - just like 7, 29, 139.
3. Sum of digits in these three numbers together is a non-additive prime number (17). Sum of digits in 7, 29, 139 is also a non-additive prime (31).
4. Sum of digits in sums of digits of numbers forming 5, 23, 421 is a non-additive prime (17, 5+5+7). Sum of digits in sums of digits of numbers forming 7, 29, 139 is non-additive prime also (7, 11, 13 - sums of digits, 7, 2, 4 - sums of digits in them, their sum is 13).
5. Sums of digits in sums of numbers in 5, 23, 421 and 7, 29, 139 are non-additive primes (449 and 175 - sums of numbers in these triplets, 17 and 13 - sums of digits in them)
6. Digits in largest numbers of triplets 5, 23, 421 and 7, 29, 139 form geometric sequences with primes as sums of numbers in them (4, 2, 1 - descending geometric sequence with sum of numbers 7; 1, 3, 9 - ascending geometric sequence with sum of numbers 13).
7. Both triplets have one-digit smallest terms (5 and 7), two-digit middle terms (23 and 29) and three-digit largest terms (421 and 139), numbers of digits in numbers forming these triplets form arithmetic sequence 1, 2, 3 which has sum 6 and arithmetic mean 2 and the same product of numbers and digits (1*2*3 = 6) as sum of them (1+2+3 = 6).

I noticed certain 21.7 features in sums of numbers associated with triplet 7, 29, 139.

Sum of numbers in that triplet is 175.

Sum of numbers of sums of digits in 7, 29, 139 is 31:
7+(2+9)+(1+3+9) = 7+11+13 = 31.

Sum of numbers of sums of digits in 7, 11, 13 is 13:
7+(1+1)+(1+3) = 7+2+4 = 13.

We have received triplet: 175, 31, 13.
It consists of 7 digits and the sum of these digits is 21.

Arithmetic mean of sum of digits in triplet 175, 31, 13 is 7:
(1+7+5)+(3+1)+(1+3) = 13+4+4 = 21; 21:3 = 7 (3 is the number of numbers in 13, 4, 4).

Triplets: 7, 47, 139 and 7, 83, 139 produce the same features, but with other three-digit numbers (which are additive primes, unlike 175). They are rather not as coincident with 21.7 and 3, 6, 9 as 7, 29, 139.
1. From first digits in triplets 7, 47, 139 numbers 21 and 7 can't be formed (but product of 21 and 7, 147, can be formed), 21 and 7 together also can't be formed from first digits of 7, 83, 139.
2. Sum of digits other than first ones from numbers forming 7, 47, 139 is not 21 (it is 19 (7+3+9) and has not 7 as its arithmetic mean), that sum of digits in the case of 7, 83, 139 is 15 (3+3+9), it also has not 7 as its arithmetic mean (although it is formed by digits from 3, 6, 9 group (more precisely, 3 and 9 and 3 repeats oneself).
3. Product of digits of 7, 47, 139 is not divisible by 3*6*9 (it is 5292, 5292:162 = 32,(6)) and the product of digits forming 7, 83, 139 (4536) is not 162 (3*6*9) times larger than product of digits in 7, 11, 13 (which is 21), but it is 216 times larger, 216 is not divisible by 162.

"Giant egg" - 5, 23, 421 and 7, 29, 139 have the same sum of digits which do not repeat oneself in six numbers forming these triplets (7+2+1+3 = 13, 5+3+4+1 = 13); 7, 47, 139 and 7, 83, 139 have other sums of non-repeating digits (4+1+3+9 = 17, 7+8+1+9 = 25).

I noticed coincidences associated with numbers 12 and 4 last time. Large ones are associated with sums of first, second and third digits in two very coincident triplets: 7, 29, 139 and 5, 23, 421.

Sum of digits in first numbers: 7+5 = 12.
Sum of digits in second numbers: 2+9+2+3 = 16.
Sum of digits in third numbers: 1+3+9+4+2+1 = 20.

We have received arithmetic sequence: 12, 16, 20. Sums of digits in these two numbers are additive primes and two triplets which "gave" numbers 12, 16, 20 are built of additive primes:
- 1+2 = 3,
- 1+6 = 7,
- 2+0 = 2.

Why 12, 16, 20 is coincident with 12 4?

1. The smallest member of that sequence is 12.
2. Sum of numbers in that sequence is 48 and 48 is 12x4.
3. Difference between the largest and the smallest term of that sequence is 8, 8 is 12-4 (difference of 12 and 4), (12+4) : 2 (arithmetic mean of 12 and 4) and 1x2x4 (product of digits forming phrase 12 4).
4. Common difference of 12, 16, 20 is 4.
5. Arithmetic mean of 12, 16, 20 is 16, 16 is 12+4.
6. Middle term of that sequence is 16, 16 is 12+4.
7. Sum of digits in that sequence is 12 (1+2+1+6+2+0).
8. Arithmetic mean of sum of digits in numbers forming sequence above is 4 (((1+2)+(1+6)+(2+0)):3 = (3+7+2):3 = 12:3 = 4).
9. Number of terms of 12, 16, 20 is 3, 3 is 12:4.

Coincidences are like special interest or hobby in my case. I think that their influence on my level of functioning is significantly smaller than it looks.

I have been diagnosed with Asperger’s syndrome and OCD since above 10 years and I think that they have significantly more impact on my functioning than series of mysterious coincidences.

I got medications mainly due to OCD (at the beginning clomipramine and fluvoxamine. later paroxetine which I get also now (40 mg daily at morning)) even before having coincidences, the doses were rather smaller than now and psychotropic drugs like olanzapine, sulpiride, chlorprothixene do not prevent from new coincs. But I want to not get even medications for OCD, because they may impact ability to drive a car and I think that having driving licence and possibility of driving a car would be really beneficial in finding a job.

I have never driven a car although I am almost 28 years old. I live in small locality where there are no school or church. I have to ride by bus, which is accessible only on certain times of day (for example, last bus to my locality is about 9 p.m., so I could not finish my job at 10 p.m., because I would have not bus to go back to my village, job at weekends also could be really problematic). I have pretty good access to buses, which allowed me to study in nearest big city from 2010 to 2015 without living in that city, I still lived in my small locality then.

If I had not coincidences, I still could have suspiciousness (which started when I was about 16), solipsistic or egotheistic ideas (which were present before 18th birthday), thoughts about grandiosity (grandiose and bizarre fantasies were present in me when I was about 12) and messengership (for which coincidences may be very good “fuel”). So maybe I would receive diagnosis of schizotypal disorder even without coincidences. Coincidences may be associated with delusions of reference and apostleship, though.

Even some phenomena which are not a sign of mental disorders may impact my functioning significantly, like believing in possibility of eternal damnation associated with endless torment.

I noticed some other references to 12.4 in numbers associated with my coincidences:

- sum of digits of “miraculous geometric sequence” (21, 42, 84) is 147 - digits in the 147 (1, 4, 7) form arithmetic sequence with sum 12 and arithmetic mean 4,
- first digits in sequence 33, 42, 51 (3, 4, 5) form arithmetic sequence with sum 12 and arithmetic mean 4,
- sums of digits in sequence 6, 13, 20 (6, 4, 2) form arithmetic sequence with sum 12 and arithmetic mean 4,
- sums of digits in sequence 2, 31, 60 (2, 4, 6), which is formed by the same digits as 6, 13, 20, form arithmetic sequence with sum 12 and arithmetic mean 4,
- sums of digits in sequences 0, 13, 26 and 0, 31, 62 (0, 4, 8 ) form arithmetic sequences with sum 12 and arithmetic mean 4.

I also noticed that there is another double which have the same product of digits, difference and arithmetic mean, but it is formed by two THE SAME numbers, in addition, one-digit ones. It is 0 and 0. (0+0):2 = 0 = 0-0 = 0x0. I suppose that 21.7 and 12.4 may be only doubles formed by different numbers which have these three properties. I discovered some mathematical curiosities due to my “coincidences”, but if someone also noticed them? I suppose that very few people (or maybe even none before me) noticed them in the entire history. My mentality considers my numerous coincs as somewhat very epic and beautiful, sort of compensation of existence of sin and pain.

I take meds regularly last months. I still have nasty OCD about infection and oathing. OCD about infection is really limiting and gives large discomfort. I am afraid of germs and viruses, for example on ground. I have also fear of impure animals and their meat (mostly pork) because religions which prohibit them looks credible for my mind although in my religion there is no unclean animals. I have profound problems with religion. I do not take the sacraments (Eucharist, penance) since about two months, it is not good. I often spent much more than three hours daily in the Internet, during the time when I surfed in Internet as much I had significantly less obsessions and compulsions associated with taking oaths to Allah. I read about non-Catholic monotheistic religions since about 2011 (I do not remember when it started).

I met opinions that:

- Mosaic Law is still valid and we have to circumcise boys and men, keep Sabbath, Passover, some people who believed in these doctrines accepted Jesus as Messiah, some did not accept Him,
- popes since some decades (or even more than eight centuries!) are heretics and “mainstream” Catholicism is heretical and lead to eternal torment (opinions of rigorous sedevacantists),
- Quran is true Word of One and Only God and if a person rejects it he/she will burn and be tormented in Hell, Gehenna, rather for eternity, I read quite much about numerical and scientific miracles of the Quran, most credible Muslims for me are quranists, not sunnis or shias,
- Bible (Old and New Testaments) is true, but there is no Trinity (for example, Holy Spirit is not God), that sex constitues marriage and if a woman who is a virgin is raped, she becomes the wife of the rapist and if she has sexual intercourse with someone other than the rapist when the rapist is alive, she commits adultery (this belief looks unjust to my mentality, but I agree that there should be no extramarital sex at all).

I have never had diagnosis of mania or bipolar disorder. I had diagnosis of moderate depressive episode (F32.1) at the beginning of 2017, before that diagnosis I had the feeling of “despair” and made about 7 general confessions (from my entire life). I had similar episode at spring 2009, it was longer, but I was not diagnosed with affective disorder that time. It was also associated with religion, I also made general confessions during it. It was scary. Fear of Hell, being eternally tormented by Just God for deliberately sinning… My mentality has own religion which I named moraunism (monotheistic radical universalism), which considers Quran and Bible as greatest handiworks of Satan, so it is very heretic, not Catholic, not Islamic, not Torahic - it is against them. I coined new term for mentality: psychicity, it is a synonym.

The numerical miracles of Quran are something which attracts my attention very much. I may think that I am chosen by Allah to convert entire humanity to Quran-alone Islam. Coincidences appear to be interestingly similar in nature to my coincidences. I had some coincidences associated with numerical miracles of Quran. For a Christian, numerical miracles of Quran appear to be proof of great craftiness of Satan!

The numbers of letters in verses of first surah (Al-Fatiha) are: 19, 17, 12, 11, 19, 18, 43. Five of these seven numbers are primes: 19, 17, 11, 19, 43. Two numbers are not primes, but numbers of letters in neighbouring verses added to those composite numbers form primes: 17+12 = 29, 12 + 11 = 23, 19+18 = 37, 18+43 = 61.

Primes from first set (19, 17, 11, 19, 43) have product of digits: 1x9x1x7x1x1x1x9x4x3 = 6804. It is product of digits: 3x2x1x7x3x6x9. In the product there are digits forming both 21.7 and 3, 6, 9 together!
Primes from second set (29, 23, 37, 61) are formed by 6 sorts of digits: 2, 9, 3, 7, 6, 1. From these six digits phrases 21 7 and 3, 6, 9 can be formed at the same time! Product of digits forming these four primes is 6x2x1x7x3x6x9 = 13608. Again in the product there are digits forming 21 7 and 3, 6, 9.
Sum of both products mentioned above is 9x2x1x7x3x6x9 and their product is 18x((2x1x7)^2)x((3x6x9)^2). 18 is 3+6+9. 3, 6, 9 are members of “Tesla’s arithmetic sequence”.

Another coincidence with the numerical dependencies associated with Quran is about Thabit numbers (also known as 321 numbers) associated with certain slide. On that slide there was date: 2nd Nov, 2017, which is 2.11.2017. There were some bolded additive primes on that page: 23, 11, 797, 10037, 337, 79733710037, 11171. On that page there were 5 facts.

Numbers: 2, 11, 23, (2017) are associated with dates of my third full going to day hospital. It started 27.4.2017 and ended 24.7.2017. Both dates have the same digits in them and the same sum of numbers and digits in them. The digit that repeats oneself in them is 2. Sum of digits other than 2 is 19, which is considered special number for the Quran.

What is interesting? Sum of digits in both dates is 23: 2+7+4+2+0+1+7 = 2+4+7+2+0+1+7 = 23. 23 is an additive prime number which is a Thabit number which has a 321 number as sum of digits (5). What about sum of numbers? 27+4+2017 = 24+7+2017 = 2048. Number 2048 is 2 to 11th power (2^11)! 2 and 11 are additive prime numbers which are 321 numbers with Thabit numbers as their sum of digits!

The page which gave coincidences with Thabit numbers was about additive prime numbers associated with numbers of words in chapters of Quran. I did not check if data presented at that page are true, they did not mention which surahs contains prime numbers of words. There were 7 different bolded numbers:

1. 23 - additive prime, Thabit number with 321 number as sum of digits (5), number of digits - 2 (a Thabit number also).
2. 11 - additive prime. Thabit number with 321 number as sum of digits (2), number of digits - 2 (a Thabit number also).
3. 797 - additive prime. Although not a Thabit number itself, it has sum of digits which is Thabit prime (23) with Thabit prime as sum of digits (5). Numbers of digits - 3 - additive prime, although not a Thabit number.
4. 10037 - additive prime. Although not a Thabit number itself, it has sum of digits which is Thabit prime (11) with Thabit prime as sum of digits (2). Number of digits is a Thabit number (5).
5. 337 - additive prime. It is not a Thabit number and has sum of digits which is a non-additive prime (13) which is not a Thabit number, although it is the sum of 1st and 3rd Thabit numbers (2+11). Number of digits is 3 - not a 321 number.
6. 79733710037 - additive prime. It is not a 321 number itself, but it has Thabit prime (47) as the sum of digits, sum of digits of 47 is 11, which is a Thabit prime with a Thabit prime as the sum of digits (2). Number of digits is a Thabit prime (11) with Thabit number as sum of digits (2).
7. 11171 - additive prime. It is not a 321 number itself, but has a Thabit prime (11) as sum of digits. Number of digits - 5 - is a Thabit prime.

Let’s look at the number which has not Thabit prime as sum of digits - 337.

1. Two sorts of digits appear in 337 - 3 and 7, their product is 21.
2. Only one digit appears once in 337 - it is 7.
3. One digits repeats oneself in 337 - it is 3.
4. Sum of repeating digits in 337 is 6 (3+3).
5. Product of repeating digits in 337 is 9 (3x3).
6. Product of three digits forming number 337 is 63, which is divisible by 21 and 7.
7. Number 63 consists of two digits - 6 and 3.
8. Sum of digits of 63 is 9.
9. Product of digits in 63 is 18, 18 = 3+6+9.

Let’s look at two numbers which have not Thabit primes as numbers of digits - 337 and 797.

1. Both numbers have 3 digits.
2. These two numbers together have 6 digits.
3. The only digit which does not repeat oneself in both numbers together is 9.
4. Sum of digits in these two numbers together is 36, which is built by 3 and 6 and has sum of digits 9 and product of digits 18 (3+6+9).
5. Arithmetic mean of sums of digits in these both numbers together is 18 ((23+13):2), in sums of numbers together (23 and 13) one digit repeats oneself - it is 3 and it occurs two times, 3+3 = 6 and 3x3 = 9, sum of digits other than 3s occurring in these sums is 3 (2+1).
6. The digit which repeats most often in numbers 797 and 337 together is 7, it appears 3 times and 7+7+7 = 21.
Products of digits in both numbers are divisible by 7 and 21: 7x9x7 = 441 = 21x21, 3x3x7 = 63 = 21x3; larger product is 7 times larger than smaller.
7. Sum of numbers 797 and 337 is 1134, which has sum of digits 9 and 3 digits other than 3 (or 6 or 9) which sum is 6 (1+1+4), 1134 has also 4 digits with product of them 12 (1x1x3x4); 1134 = ((2-1)x7)x3x6x9 = 1x7x3x6x9 = 7x3x6x9.

I must admit that I do not want to deprave anyone by contents in my previous posts in that topic. I wrote something about non-Catholic religions and presented ideas which potentially can be dangerous to Christian faith. I think that these informations are very important for knowing my problems and mental disorders, for understanding my difficulties.

Despite many coincidences/delusions of reference/ideas of reference I had practically no hallucinations, especially longer ones. I had auditory hallucinations very rarely and their were really simple, they were single sounds or words which occurred usually before getting asleep. It happened maybe about 15 times in my life.

I remember that when I was about 12 - 15 years old I heard strange music in the room in which I slept. I don’t think that it was hallucination, but I might wonder what was the source of that music. It would rather not be generated by mobile phone (in that time mobile phones in my home were probably not as advanced technologically to emit sound of such a high quality).

What are origins of my most interesting coincidences associated with geometric or arithmetic sequences?

- 21, 42, 84 - it was rather first sequence which attracted my attention. It is associated with numbers after letter F and before dots (if dots are present) in ICD-10 codes of three mental disorders with which I was diagnosed 28.4.2015 first time in my life. They were: F21 - schizotypal disorder, F42.2 - mixed obsessive-compulsive disorder, F84.5 - Asperger’s syndrome.
- 3, 6, 9 - I heard about these three numbers (which form arithmetic sequence) 13.11.2015 about 5 - 6 p.m., at program emitted on 84th channel of satellite TV, it was about extraterrestrial beings (in which I do not believe) and Nikola Tesla to whom saying “If you only knew the magnificence of the 3, 6 and 9, then you would have a key to the universe” is attributed, first coincidence with these three numbers was associated with the fact that exactly five weeks later, 18.12.2015, I watched or listened another episode of the same program on the same TV channel, also between 5 and 6 p.m. and due to it I had quite large coincidences, date 18.12.2015 is interesting - it is in 21th century, 15th year of that century, 12th month in that year and 18th day of that month - numbers 21, 15, 12, 18 sorted ascendingly are four next terms of arithmetic sequence starting by numbers 3, 6, 9!
- 33, 42, 51 - they are atomic numbers of three chemical elements which Polish names I “considered” to be vulgar words for immodest parts of body when I was about 13 - 15 years old. These numbers forms arithmetic sequence which has three numbers, six digits and nine as common difference. I noticed coincidences associated with that sequence only about first half of 2018.
- 6, 13, 20 - days of the month in December 2014, on which men from my small locality dies. They have graves which are in one row one after another at the same cementery (and cementeries were important for my first coincidences in September 2014). They quite closely to each other. One of them (who died 13.12.2014) was my grandfather.

I do not know that I have schizophrenia or not, for example, only persistent delusional disorder or schizotypal disorder (in USA known as "schizotypal personality disorder"). Coincidences are the phenomenon which has clear onset time, unlike much fewer other ideas of reference or suspiciousness. I had diagnosis of schizophrenia for some weeks above 3 years earlier. I may function significantly poorer than many schizophrenics who have hallucinations or true delusions, but it may be due to OCD (which is persistent despite medications) and aucorigia (my neologism for autism and similar conditions coined from words "autocontrast" and "originality", condition that is developmental and is associated with social inadequacy and peculiarity). I have pervasive developmental disorder which makes me odd since childhood.

Coincidences are really pleasant things for me. I think that I found male lineage of biblical Jacob called Israel. I would say that there is 90% chance that haplogroup J-Z18271 (sometimes named J-Y3088) is the lineage of Israelites, including Moses and Aaron who lived in II millennium BC. Another possibility is that Israelites were from one of subclades of haplogroup J-FGC8712 (also called J-Y6074) - it is very probable that it was the haplogroup of Muhammad, who is one of the most influential people in history of humanity.

There is something interesting in numbers occurring in names of these two haplogroups (18271 and 8712) - they are built by the same digits (1, 2, 7, 8 ) and have the same products of digits (1x2x8x7x1 = 8x7x1x2 = 112 = 28x4). 28 and 4 are numbers meaning day in month and month in year of the date of my first diagnosis of F84.5, F42.2, F21 at the same time - 28.4.2015.

There are billions of believers in Abrahamic faiths in the world, but it looks that (almost) none of them noticed that genetic research (tests of haplogroup) may give proof of the existence of people mentioned in books like Bible and Quran.

Rather not. But I read about numerical miracles in the Bible too.

I admit that religious themes are very important and problematic for me. It is very hard. I have obsessions about oathing which are more or less associated with the religion.

Coincidences are rather not disabling for me. They may have also religious meanings or trigger religious thoughts in my mind. I may function so low due to serious problems in spiritual area. Examination of conscience is something really hard for me. I would say that religious issues may have more impact on OCD than on schizotypal disorder/schizophrenia(?) in my case. Both OCD and StD/SZ may interfere with religion.

I noticed some coincident things linking seven geometric or arithmetic sequences mentioned below:

- 3, 6, 12,
- 1, 4, 16,
- 0, 7, 14,
- 1, 7, 13,
- 2, 7, 12,
- 3, 7, 11,
- 4, 7, 10.

They all are coincident for me. What links them?

- all have the same sum of numbers (21),
- all have the same arithmetic mean of numbers (7),
- all have the same number of numbers (3, which is 21:7 and 12:4),
- all have the same number of digits (4),
- all have the same sum of digits (12),
- all have the same arithmetic mean of sums of digits in numbers building these sequences (4).

So there is really huge coincidence with both 21 7 and 12 4, which I noticed only last night.

I found six triads of triplets associated with numbers 3, 6, 9; 12, 24, 36 (which have sums of digits 3, 6, 9) and 21, 42, 63 (which also have sums of digits 3, 6, 9).

Difference between the middle and the smallest numbers of these triplets is 3 or 12 or 21 (has sum of digits 3). Difference between the largest and the middle numbers of these triplets is 6 or 24 or 42 (has sum of digits 6). Difference between the largest and the smallest numbers of these triplets is 9 or 36 or 63 (has sum of digits 9).

* 0, 3, 9 - 0, 12, 36 - 0, 21, 63 (all three can be formed from digits of 30.9.2016, two larger are formed from digits of sequence 6, 13, 20)
* 1, 4, 10 - 10, 22, 46 - 1, 22, 64 (two larger can be formed from digits of date 24.6.2016, which is very coincident with 21, 42, 84)
* 2, 5, 11 - 11, 23, 47 - 11, 32, 74 (very coincident for me)
* 3, 6, 12 - 12, 24, 48 - 21, 42, 84 (very coincident and all three are geometric sequences)
* 4, 7, 13 - 22, 34, 58 - 22, 43, 85
* 5, 8, 14 - 23, 35, 59 - 32, 53, 95 (the smallest can be associated with the date 14.8.2015 - 5th year in the decade 2011 - 2020, 8th month of year, 14th day in month, I was taken by ambulance to the psychiatrist that day)

For 6, 9, 15 there are no two larger triplets as for smallest triplets above. I found 6 triads of triplets, in one triad there is 9 numbers (not always different ones).

Numbers forming first, second and third triplets formed by differences between larger and smaller members of triads of triplets mentioned in previous post form arithmetic sequences:
- 3, 6, 9
- 12, 24, 36
- 21, 42, 63
First numbers: 3, 12, 21 form arithmetic sequence in which all numbers have 3 as sums of digits. Common difference - 9.
Second numbers: 6, 24, 42 form arithmetic sequence in which all numbers have 6 as sums of digits. Common difference - 18.
Third numbers: 9, 36, 63 form arithmetic sequence in which all numbers have 9 as sums of digits. Common difference - 27.

3, 6, 9 --> 1(3+6+9)
12, 24, 36 --> 4(3+6+9)
21, 42, 63 --> 7(3+6+9)

Numbers bolded form number 147 (which is product of 21 and 7) when concatenated.

Some days ago I noticed that all three ascending three-digit three-membered arithmetic sequences with sum 18 and arithmetic mean 6 can be formed from sums of digits in numbers of arithmetic sequences formed by six digits present in the sequence 33, 42, 51. Constant sequence with these sum and arithmetic mean also can be formed from sums of digits in sequence(s) formed by these six numbers. These sequences are very similar to (or even the same as) "Tesla's arithmetic sequence" - 3, 6, 9.

33, 42, 51 - sums of digits: 6, 6, 6 (constant geometric and arithmetic sequence)
15, 24, 33 - sums of digits: 6, 6, 6 (constant geometric and arithmetic sequence)
31, 42, 53 - sums of digits: 4, 6, 8 (ascending arithmetic sequence)
13, 24, 35 - sums of digits: 4, 6, 8 (ascending arithmetic sequence)
12, 33, 54 - sums of digits: 3, 6, 9 (ascending arithmetic sequence)
21, 33, 45 - sums of digits: 3, 6, 9 (ascending arithmetic sequence)
14, 33, 52 - sums of digits: 5, 6, 7 (ascending arithmetic sequence)
25, 33, 41 - sums of digits: 7, 6, 5 (descending arithmetic sequence)

Amazing! Sequences above have six digits and five "sorts" of digits which form five-membered arithmetic sequence (1, 2, 3, 4, 5).
"Giant egg" (5, 23, 421) also has 6 digits and 5 different digits is used in it - they are the same as in sequences above. Last digits in numbers of "giant egg" form arithmetic sequence 5, 3, 1, which has the sum 9 and in which sum of digits other than 3, 6, 9 is 6 (5+1), the sequence has 3 digits and has arithmetic mean 3.

I may think that coincidences are from satan or (at least some of them) from God. I have anti-Catholic thoughts, for example pro-islamic (that I was chosen by Allah to make quranic revolution because of reading about (alleged) numerical miracles of Quran and having quite many coincidences associated with that book) or "liberal" monotheistic (that I was chosen by Only God to teach moraunism - monotheistic way of life without eternal punishments and torments after death and numerous coincidences are proof of apostleship). These claims are temptations against Catholic faith.

I (still) have thoughts or "beliefs" that women do not defecate, flatulate, urinate, have no intestines, liver, pancreas, kidneys, lungs, brain, hemoglobin, need of trace elements etc. Or men also have not them. For example that Germans have not them regardless of biological sex.

I think that wifelessness may ruin my life. I have urge to have someone like "domestic animal" to hug, kiss, caress etc.

I noticed some quartets of three-number arithmetic sequences (ASes) which are coincident for me and have 24 or 42 as middle terms and are formed by six digits:

1. 33, 42, 51 and formed from digits of it:
- 33, 42, 51 (common difference 9),
- 15, 24, 33 (CD 9),
- 13, 24, 35 (CD 11),
- 31, 42, 53 (CD 11).
2. Ascending ASes from digits: 1, 2, 2, 3, 4, 6:
- 12, 24, 36 (CD 12),
- 21, 42, 63 (CD 21),
- 16, 24, 32 (CD 8 ),
- 23, 42, 61 (CD 19).
3. Ascening ASes from "miraculous quartet":
- 11, 24, 37 (CD 13),
- 11, 42, 73 (CD 31),
- 13, 42, 71 (CD 29),
- 17, 24, 31 (CD 7).

Sequences from second quartet are coincident with quartet of ASes formed by digits of 33, 42, 51 having 33 as middle term:
- 14, 33, 52 (CD 19),
- 25, 33, 41 (CD 8 ),
- 12, 33, 54 (CD 21),
- 21, 33, 45 (CD 12).
Sequences with the same sums of digits in numbers in both quartets have the same CDs!

Those from satan might be associated with immoral computer games or sports... Many of them were about them. Big coincidence with 33, 42, 51 was associated with vulgar meanings of names of chemical elements invented by me, I wanted to popularize these meanings in entire world.

I noticed that the sum of digits in 7, 29, 139 (numbers of verses, words and letters in first chapter of Quran) and 5, 23, 421 ("giant egg") together is 48, which is 12x4 and arithmetic mean of 12 digits occurring in these numbers is 4 (48 :12 = 4).

I have no motivation to normal life "due to lack of wife". I am not interested in having sexual pleasure or arousal. Dolls do not have ASD, and I dream about the wife with real ASD. My mentality prefers having offspring with mental disorders similar to mine, even in more "classic" form. It would be most happy if all children would have clinical ASD level 1 or 2 with high IQ and no or only small disorder of functional language. And it wants all my offspring to be female.

Why someone placed encounter with huge egg which stuck in the hole in certain computer game? Was it reference to something, like Big Hole (anus of alien lifeform from "Evolution" movie)? I may think that satan or demons inspired producers of the game to place Giant Egg encounter in it in the purpose of giving me large coincidences. Why quite many coincidences are associated with the book which is considered holy by Muslims, not Christians? In my mind the idea that God made some of my coincidences or permitted them in purpose may be present.

Coincidence with two or three quranic triplets (7, 29, 139; 7, 11, 14; 7, 2, 4) is huge. It is associated with quite many themes of my coincidences:
- 21 7 (moderately),
- 3, 6, 9 (relatively mildly),
- "miraculous quartet" of arithmetic sequences (very much),
- 24.7 and 27.4; 13 and 31 (very much),
- "giant egg" (5, 23, 421, very much).

Probability of coincidence between 7, 29, 139 and 5, 23, 421 is rather really low. 139 and 421 - numers have not to be sorted ascendingly or descendingly to form geometric sequences, there are only two such numbers whihc have 3 digits - 139 and 421, exactly.

I noticed two sets of numbers which I named "miraculous quintets". They are: 3, 7, 11, 15, 19 and 2, 5, 11, 23, 47. What links them?
- both have 5 numbers,
- two smallest numbers in both of them are one-digit,
- two smallest numbers in both of them are (additive) prime numbers,
- three largest numbers in both of them have two digits,
- third (middle) member in both of them is 11.

3, 7, 11, 15, 19 - arithmetic sequence with sum of numbers 55 and arithmetic mean 11 which has common difference 4.

2, 5, 11, 23, 47 - first five Thabit numbers. All of them are additive primes!

Very interesting are triplets formed by three smallest and three largest numbers in these quintets.

For 3, 7, 11, 15, 19 they are 3, 7, 11 and 11, 15, 19. Both are arithmetic sequences which have the same sums of numbers as products of digits forming them! Very interesting!
3*7*1*1 = 3+7+11 = 21
1*1*1*5*1*9 = 11+15+19 = 45

For 2, 5, 11, 23, 47 they are 2, 5, 11 and 11, 23, 47. Smaller triplet is formed by sums of digits of numbers in the larger one (1+1 = 2, 2+3 = 5, 4+7 = 11)!
Both triplets formed by consecutive Thabit primes are coincident with 3, 6, 9!
For first, 2, 5, 11:
1. Number of numbers is 3.
2. Arithmetic mean of numbers is 6.
3. Sum of digits is 9.
4. Sum of numbers is 18.
5. Arithmetic mean of sums of digits in numbers is 3 (((2+5+(1+1))/3 = (2+5+2)/3 = 9/3 = 3).
6. Difference between the middle and the smallest number in the triplet is 3 (5-2).
7. Difference between the largest and the middle term in 2, 5, 11 is 6 (11-5).
8. Difference between the largest and the smallest term in that triplet is 9 (11-2).
9. Three differences mentioned above form "Tesla's arithmetic sequence" - 3, 6, 9!

For second, 11, 23, 47:
1. Number of numbers is 3.
2. Number of digits is 6.
3. Sum of numbers is 81 which is 9x9; 81 has sum of digits 9.
4. Sum of digits is 18 which is 9+9 and 81 read backwards; 18 has sum of digits 9.
5. Arithmetic mean is 27 which is 3x9 and 3x3x3.
6. Difference between the middle and the smallest number in the triplet is 12 (23-11).
7. Difference between the largest and the middle term in 11, 23, 47 is 24 (47-23).
8. Difference between the largest and the smallest term in that triplet is 36 (47-11).
9. Three differences mentioned above form arithmetic sequence with sum 72; sums of digits in these differences are... 3, 6, 9!

Today, 12.08.2019, about 10:30 p.n. in CET, I typed certain nine-letter word in Google. It was composed of two vulgar words separated by a preposition (third word). There were 2 170 000 results which were found in 0,39 seconds. These numbers were coincident with 21.7, 12.4 and 3, 6, 9!

1. There are 7 digits in number 2 170 000.
2. From three first digits of 2 170 000 numbers 21 and 7 can be formed (without sorting).
3. There are 3 (12/4 and 21/7) digits in 0,39; arithmetic mean of these digits is 4 and sum is 12.
4. Difference between the middle digit in 0,39 (3) and the smallest digit (0) is 3.
5. Difference between the largest digit in 0,39 (9) and the middle one (3) is 6.
6. Difference between the largest digit in 0,39 (9) and the smallest one (0) is 9.

I noticed something interesting in names of communes and name of a river in a part of central-east Poland.

About 50 km from centre of Warsaw (in Mazovian Voivodeship) communes Warka and Wilga borders themselves on river called in Polish Wisła (Vistula in English) on 300 - 400 metres.

There is something interesting in Polish names of these two communes and the river:
1. All three names have five letters.
2. All three names have the same letter at the beginning (W).
3. The names have the same last letter (a).
4. Second letters (a or i) are vovels.
5. Third and fourth letters (r, k, l, g, s, ł) are consonants.
6. All three names are different, none of them repeats itself.

Warka and Wilga - third letters (consonants r and l) are quite similar to each other, quite many children in early part of the life pronunciate r as l. Fourth letters are also similar - k is voiceless counterpart of g.

It is interesting if similar dependency is associated with any other placenames in the world.

I noticed that in Upper Sorbian language names of three longest rivers in Poland have properties mentioned in my previous post!

1. Vistula - Wisła (https://hsb.wikipedia.org/wiki/Wisła).
2. Oder - Wódra (https://hsb.wikipedia.org/wiki/W%C3%B3dra).
3. Warta - Warta (https://hsb.wikipedia.org/wiki/Warta).

I may think that the names are as such because of me, my mentality might see a sort of miracle in it! In cases of rivers and communes bordering on river mentioned in previous post.

I typed word "krómno" in Google (Polish version) 6.9.2019, with quotation marks, probably when a wordless song of Icelandic author was played on my YouTube (or shortly after hearing it or before hearing it). There was only one result with the text presented below (with my emphasis):

Króm | Discography & Songs | Discogs

(...)
Krómno Discogs. Nome real: Andrew Lord & Úlfar Thorðarson. Perfil: A band founded in iceland by Andrew Lord and Ulfar thordarson, they started out as ...

10.9.2019 the same only result was present.

Probably 7.9.2019 I typed the word wunhole in Google. Earlier I searched for results about the word "wunchol", which may appear to be a dialectal word for someone with moustache (modification of colloquial Polish word "wąchal"). I use word "wunchol" to describe a cat beacuse of the long whiskers.

Just after searching for results for the word wunhole two images with two different cats were present in the page with results!

There is something which is also very coincident here. The word "wunhole" has the same number of letters as the phrase "Big Hole" (seven), four last letters form the word "hole"!

It started (the Big Hole coincidence) because of anal opening of extraterrestrial liferorm based on nitrogen, not carbon. The anus of alien monster was the Big Hole.

I experienced many coincidences associated with phrases type XXX YYYY (first word has three letters, second has four) and dangerous, bad games - these games are from Fallout series (and total conversion mods or DLCs made about them). Fallout games contain a lot of evil content, like brutal violence (which in some of them can be reduced), vulgar language, alcohol, gambling, sexual things, dark music, so I definitely do not recommed playing them (or even watching such a playing). I played second part of the series very long above 10 years earlier. Now I know better that the game is bad.

Fallout coincidences appeared since 14.10.2018. First game (and most important) which gave coincidences was Fallout of Nevada, especially its Let's Play on Colonel RPG YouTube channel. I watched film nr 54 in which there was special encounter with "famous" (for me) Big Hole. It was marked by small green circle on the world map. The same day I saw fight with monsters called deathclaws (Polish: szpony śmierci), probably in films #55 - 57. First coincidences were associated with item shampoo (Polish: szampon). Polish words: "szpon" ("claw") and "szampon" ("shampoo") are quite similar - both have the same first two letters and the same last two letters.

In last quarter of 2018 I had quite many coincidences associated with shampoo. I typed phrase kislotnyy gekko ("acid gecko"), which is a transliteration of name of one of creatures present in Fallout: Nevada and I saw the word "szampon" in third link after searching results. Some time later I also typed the same (or very similar) phrase and... words for items found about Ira Kane's body were present - two words "shampun" (a transliteration of Russian word for shampoo) and one English word - "shampoo". And 19.10.2018 and 22.10.2018 I heard two adverisements of shampoos in the same shop after thinking about encounter with shampoo. It looks amazing!

But it was only the beginning of my Fallout coincidences. Probably in 2019 I watched two other special encounters (SE) in films from Colonel RPG which were marked by small green circles - "Dear John" and "Next". It was also in Fallout of Nevada. I saw three SEs on the Colonel RPG channel: Big Hole, "Dear John", "Next". I noticed something interesting about their names last times:
- all have four-letter word as last words,
- there are three encounters which I saw on Colonel RPG channel which are marked by green circle,
- one SE appeared three times (#54, #112, #114) and it was Big Hole,
- only in the name Big Hole there is a word which has other number of letters than four - it is word "Big",
- there is a location which name is formed from three four-letter words on the map in Fallout: Nevada - it is Salt Lake City in northeastern part of the map, it is marked by large green circle.

About 5 p.m. 4.5.2019 I watched fragment of the film "In search of a legendary legend" (#31) in gameplay of Fallout of Nevada on Colonel RPG's channel. I was interested if on the item "Cat's Paw Magazine" (which is something evil - sexual magazine) there is the image of black cat. That item was found in remains of Sergeant Kong in "Dear John" special encounter (which was marked by small green circle). Yes, there was a black meower there :)

Shortly after checking it I typed phrase chicken-kicken in Google. It was associated with another game, probably also containing dangerous content (like occultism) - Fable, probably Fable: The Lost Chapters. I heard about chicken kicking when my brother or sister played that game. I typed chicken-kicken, results for chicken licken were present and... in the upper part of page with the results there was a link to a film entitled Legend of Big John!

All words in the phrase "Legend of Big John" were coincident:
- in the title "In search of a legendary legend" there is a word "legend" and a word which has six first letters the same as six letters formed the word "legend" ("legendary"),
- in the title of a film from Fallout: Nevada the word "of" is present, it is also in the phrase "Legend of Big John",
- the word "Big" is the same word as first word in the phrase "Big Hole",
- the word "John" is present in the name of SE causing the coincidence ("Dear John"), in addition, it has the same number of letters as the word "Hole" and the same second letter ("o").

The first word in the title of the game "Fable: The Lost Chapters" has the same first, second and fourth letters as first word in the title "Fallout: Nevada"!

If I would have typed chicken kicking instead of chicken-kicken, the big coincidence probably would be absent!

I do not know about Bible code so much but it can be interesting.

Two biggest non-numerical coincidences in my life are, in my opinion, black cat and Big Hole. They meet themselves in the coincidence from 4.05.2019.

I had new huge coincidences with Fallout 3 add-on (downloadable content, DLC) named The Pitt. The name is from shortening of the word "Pittsburgh", the largest city in Pennsylvania. In Polish language that DLC was named "Dzióra", which is a misspelling of the word "dziura" which means "hole". "The Pitt" may be considered a misspelling of the phrase "The Pit", in English language there is a word "pit" which has similar meaning to the word "hole". Interesting pun with the translation of "The Pitt" as "Dzióra".

Two location in "The Pitt" are shockingly coincident. The Mill is one of the parts of location The Pitt. A part of The Mill location is named... The Hole! Amazing! I may think that someone did that on purpose, because of me!

There are three phrases:
- The Pitt,
- The Mill,
- The Hole.

All three have the same first word (it is three-lettered). Second words in them are four-letter. These names are pretty similar to the phrase "Big Hole". In addition, "The Pitt" and "The Mill" have doubled letter as last and third letters of the second words.

The word "Mill" is coincident for me also due to another reason - about 11.10.2014 - 12.10.2014 I had coincidences with three surnames starting with three letters: Mil (Mila, Milik, Miler). I noticed Venn Diagram with 7 circles with phrase "Steve Miller" in the middle in autumn 2014.

There was another large coincidence with 3D Fallout game - Fallout 4. I saw a phrase "Big John's Savage Hole" which is very coincident with Big John and Big Hole! First word - Big, last word - Hole, like in the phrase "Big Hole", two first words - Big John('s)! Legend of Big John is larger...

My "delusions of reference" do not cease to appear, I had new ones last time... They're the bomb, saying in Polish "dają czadu" (literally: they give carbon monoxide). They sweeps (Polish: "one wymiatają"). I take drugs like olanzapine and sulpiride regularly, but coincidences still are present.

The phrase "Big John's Savage Hole" is a misspelling. In the game Fallout 4 there is a location named "Big John's salvage". Salvage, not savage.

When I typed phrase in search of a legend in Google, the picture of black leopard was present just after starting searching. The phrase "in search of a legend" is very similar to the phrase "in search of a legendary legend". Black leopard is a big black cat! Big cat which is black. Because of what the coincidence from 04.05.2019 was present? Because of black cat in the image of Cat's Paw Magazine found in the remains of Sergeant Kong. What was the coincident phrase from Google that day? "Legend of Big John". Big John, black cat...

I found word "fable" in description of first link with text in results of searching for the phrase chicken-kicken in Google (the fragment: Chicken Licken can refer to: Henny Penny, a fable also known as "Chicken Little" or "ᴄʜɪᴄᴋᴇɴ ᴍᴇᴀᴛ " after the main character). The first word in the title of the game with "chicken-kicken" (correctly: "chicken kicking") was Fable!

In first game from Fallout series (Fallout 1) the southernmost location was called The Glow. When someone visited it first time, (s)he saw... a BIG HOLE! Crater. You can go inside it using rope. There were piles of rocks and remains of human bodies near the big hole in The Glow location. And here is something special with the name The Glow! It consists of two words: first which is three-letter and second which is four-letter. Just like the phrase "Big Hole"!

I found graphics with the text "СТРИМ ПО FALLOUT OF NEVADA С АДМИНОМ BIG HOLE" which has entrance to The Glow as background! It can be seen after typing two phrases in quotation marks in Google at the same time (at least now): "Fallout of Nevada" "Big Hole". The text contains words written in Russian alphabet and the words written in English alphabet.

I experienced amazing adventure due to evil-containing games like Fallouts. Life in postlapsarian reality (world after sin) is somewhat like Fallout. Almost all my Fallout playing was playing Fallout 2. In this game your character was the Chosen One (in Polish version "Dziecko Przeznaczenia" (literally: "Destiny's Child")). I may have thoughts that I am Chosen One or Destiny's Child, that I change the world very much and there would be much better.

I noticed names of location consisting from two words: first - three-letter and second - four-letter in most of games from Fallout series. Only in Fallout Tactics: Brotherhood of Steel I did not found such a location. Locations with such names in Fallout games:
- Fallout 1 - The Glow,
- Fallout 2 - New Reno,
- Fallout of Nevada (Russian total conversion mod) - also New Reno (and key special encounter Big Hole),
- Fallout 1.5: Resurrection (also Slavic (Czech) total conversion mod) - New Hope, Rat Hole,
- Fallout 3 - Big Town,
- Fallout 3's DLC The Pitt - The Mill in which there is The Hole (in German Das Loch)
- Fallout: New Vegas - The Fort,
- Fallout 4 - The Slog
- Fallout 76 - two of six main regions are: Ash Heap and The Mire.

Locations from Fallout 1.5: Resurrection are especially interesting because the game starts in the cave in New Hope (that location is marked on world map by medium-sized green circle) and the location closest to New Hope is Rat Hole (marked by big green circle). Worth to notice that second words in both names have at least three letters which are the same as in the word "Hole" (one of these words is even "Hole", second has only third letter other than the word "Hole" ("Hope").

Today I typed phrase "hey, mr *, can i go in" in Google and after that saw film #112 in gameplay of Fallout: Nevada of Colonel RPG. In this film there were sentences: "it's the as*!" and "hey, Mr. As*, can I go in"? I noticed something very coincident in one of words in title of previous film on that playlist (#111, Trading with my would-be assassin) after typing phrase "hey, mr *, can i go in" in Google. The word "as*" occurred two times in reference to the Big Hole and in second sentence with the word "as*" there is the word "in" on the end.

I noticed something coincident about two "miraculous" quintets: 3, 7, 11, 15, 19 and 2, 5, 11, 23, 47. One number occurs in both quintets - 11. Sum of numbers other than 11 which occur in these quintets is 121. 121 = 11x11. In the phrase "11x11" we have only one sort of digits - 1, as in the case of number 111. Number 121 is formed by the same digits as number 112! Sums of digits in both quintets are divisible by 11 (55 and 88), these numbers are formed by duplicated the same numbers.

I checked 122 films from Colonel RPG YouTube channel containing gameplay from Fallout of Nevada to find all special encounters with little green circle on the map. It lasted about 2 hours. In five films there were such encounters:
- #31 - 'Dear John',
- #54 - Big Hole,
- #82 - 'Next',
- #112 - Big Hole (again),
- #114 - Big Hole (third time).

There were only 3 special encounters with green circle in entire gameplay. 'Dear John', 'Next', Big Hole.

Some time ago I noticed two sets of numbers which I named "miraculous quintets". One of such a quintet is five-membered arithmetic sequence with first term 3 and common difference 4. It is: 3, 7, 11, 15, 19.

In the game there were four locations marked by large green circles: New Reno, Wind of War, Las Vegas, Salt Lake City (which is in Utah, not Nevada, but also occurred in the game). I saw interesting dependencies associated with names of the special locations:
1. There are 19 letters in all names of special encounters together. 19 is last (the largest) number in quintet mentioned earlier.
2. There are 3 special encounters with green circle in the gameplay and 3 is first (the smallest) number in quintet mentioned earlier.
3. There are 5 words in the names together and 5 is the number of numbers in the quintet.
4. Most of words in the names of special locations are four-letter (Dear, John, Next, Hole) and there are four such words! 4 is the common difference of the sequence 3, 7, 11, 15, 19.

I may think that these encounters occurred because of me and they are result of craftiness of satan who want to use me to destroy certain religion.

Fallout of Nevada starts inside the big hole mentioned by a character named Lydia in Fallout 2 (she may use the phrase "big hole" in conversation), that hole is the entrance to Vault 8. Gameplay of Colonel RPG ends also inside the big hole! Big Hole coincidence is amazing!

Film #114 on Colonel's RPG channel is entitled "Ares that are so easy (for me) to miss". The title starts on "A" and ends on "s". In that film player encountered Big Hole third (and last) time in gameplay! During Big Hole encounter the word "as" regularly popped up.

First word is very coincident:
- by swapping two letters in it we will receive impolite word for anus or buttocks in British English,
- the word "Ares" starts on "A" and ends on "s" and "as" is the word with pops up during the encounter,
- the word "anus" is four-lettered and has "a" at the beginning and "s" at the end, like "Ares" and the Big Hole is anus of nitrogen-based alien lifeform!

OCD thoughts are unpleasant and my coincidences are pleasant and fascinating. A psychiatrist once wrote that my coincidences are magical thinking. In addition, I am very poor in money-earning, job skills. People with pure OCD should be rather more developed occupationally than I.

Let's look at numbers: 10, 51, 1:
- sum of first digits in these numbers is 7 (1+5+1),
- sum of second digits in these numbers is 1 (0+1, number 1 is one-digit and has no second digit),
- sum of last digits in these numbers is 2 (0+1+1, last digit in number 1 is the same as first one because it is one-digit number).
We received digits: 7, 1, 2 - 21.7 can be formed by these digits!

There is something interesting associated with 11.11.2019 and 11, 11, 1 and "giant egg" (5, 23, 421). Sum of numbers in the date 11.11.2019 is 2041 (11+11+2019), the number 2041 has sum of digits 7 and phrase 12 4 can be formed from three of four its digits. Phrase "12 4" can be also formed by digits of number 421.

Sum of digits in 11, 11, 1 is 5 and sum of numbers 11, 11, 1 is 23! 5 and 23 are additive Thabit primes and two smaller numbers of "giant egg"!

I noticed something associated with numbers 11, 13, 23 (sums of digits in numbers of words in groups of Quran chapters which chapters have prime numbers as numbers of words in them - 10037 (11 longest), 337 (1 "middle"), 797 (11 shortest)). We have numbers: 11, 1, 11 here.

But let's talk about 11, 13, 23:
1. Sums of digits in these numbers are: 2, 4, 5. Concatenation of these three numbers will give 245. 245 is divisible by 7.
2. First digits in 11, 13, 23 are: 1, 1, 2. They form number 112 if concatenated. 112 is divisible by 7 (7x16).
3. Second digits in numbers: 11, 13, 23 are: 1, 3, 3. They form number 133 if concatenated. 133 is divisible by 7 (7x19).
4. Difference between 133 (larger number) and 112 (smaller number) is 21. 21 = 7x3.
5. Difference between product of digits in number 133 and product of digits in number 112 is... 7!
1x3x3 = 9
1x1x2 = 2
9-2 = 7

I think that "schizoid disorder of childhood" is not a personality disorder, but a form of autism. If someone has marked schizoid traits in childhood (lack of need of being loved or accepted, disinterest in making friends and having colleagues), he or she is in some way autistic in my opinion.

11.11.2019 I typed in Google phrase koran ostateczny wróg which means "Quran ultimate enemy" without quotation marks, and first link in results was to a film (with window). The content of that link was: Ben 10 - Ultimatum Obcych - 51 - Wróg Ostateczny Część 1 ("Ben 10 - Aliens' ultimatum - 51 - Ultimate Enemy Part 1").

Earlier the same day I saw in the Internet (YouTube) link film #59 in let's play to Fallout: Nevada on Colonel RPG channel, where in the title there was the text "No trespassing in Area 51". Even earlier, very probably also 11.11.2019, I heard music from series ... Ben 10 from my sister's room! In location Area 51 in Fallout: Nevada there were many creatures named as "aliens". 51, aliens, Ben 10 - coincidence.

The date is very interesting, it is the only in 2019, which has five digits "1" in it.

5 digits "1" are also associated with certain dependency in Arabic text of the Quran - I read the text in which there were mentioned numbers of words in groups of chapters from that book where the groups have 11 (longest), 11 (shortest) and 1 ("middle") chapters. In numbers: 11, 11, 1 we have five digits "1"! 5 and 1 - 51. Number 51 is the key for that coincidence. In date 11.11.2019 there are two numbers 11 and in the number meaning year there is one digit 1. Again two "11" and one "1"!

Next sign from supernatural beings?

Numbers: 11, 13, 23 are associated with "miaculous" quintet formed by five first Thabit numbers (321 numbers):
- 2 - all three numbers have 2 digits; only digit which does not repeat oneself in three numbers together is 2; sum of digits in the smallest number in triplet 11, 13, 23 is 2;
- 5 - sum of digits in the largest number is 5 (2+3); there are 5 digits which do not mean 321 number (1, 1, 1, 3, 3);
- 11 - sum of digits in the numbers forming triplet 11, 13, 23 together; also the smallest number of that triplet;
- 23 - the latgest number in the triplet 11, 13, 23;
- 47 - sum of numbers 11, 13, 23.

There are also some references to "Tesla's sequence":
- 3 - set of numbers: 11, 13, 23 contains 3 numbers and digit 3 occurs in two larger ones;
- 6 - in the triplet: 11, 13, 23 there are 6 digits;
- 9 - sum of digits meaning odd numbers occurring in these three two-digit numbers is 9 (1+1+1+3+3), what is more, product of these digits is also 9;
- 18 - it is sum of 3, 6, 9 and product of digits of 11, 13, 23.

I had coincidences associated with names of the patients who were in the same group on day hospital as me at 28.10.2019. It was the only day when there were two pairs of patients with the same names (or dimunitives of names which were written) in the group.

4 patients, 2 names (2 patients with one and 2 with second). The names had the same number of letters and the difference between their names was only one letter! Two people joined the group that day, they had names (or dimunitives of first names) with the same number of letters as 4 patients mentioned earlier, the difference between two names of new patients was only two letters. In addition, in the group at the same time there were three other men who had names or dimunitives of names with the same number of letters and the same last two letters!

Date: 28.10.2019 is coincident. Numbers formed by two last digits in digits of the numbers in that date are: 28, 10, 19. The numbers sorted ascendingly form three-membered arithmetic sequence: 10, 19, 28. In these 3 numbers there are 6 digits together and common difference is 9. 3, 6, 9! In addition, sum of digits in these three numbers is 21 and arithmetic mean of sums of digits in numbers forming these numbers is 7! Coincidence with 21 7!

I read about next supposed mathematical miracle associated with Quran. If we form the number which has 114 digits, which is formed by next digits meaning numbers of bismillahs in chapters of Quran from 1st to 114th, we we will receive interesting number divisible by 7:
111111110111111111111111112111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 =
15873015730158730158730158873015873015873015873015873015873015873015873015873015873015873015873015873015873015873 x 7

Now we read 114-digit number from above backwards (the result is also divisible by 7 and the same six digits (0, 1, 3, 5, 7, 8 ) as in first 113-digit number repeat themselves in it):
111111111111111111111111111111111111111111111111111111111111111111111111111111111111111211111111111111111011111111 =
15873015873015873015873015873015873015873015873015873015873015873015873015873015873015887301587301587301573015873 x 7

In first number digits 1, 5, 7, 3 appear 19 times(?), in second 1, 3, 5, 7, 8 appear 19 times.

In the beginning of Give me books and deathclaws! - Let's Play Fallout: Nevada #55 there is such a text in lower left part of the screen:

* You see: Toilet.
*  A crude, but effective, toilet. There are some
leaves dropped into the hole to manage the odor.

The hole, the odor - phrases similar to Big Hole. The film is first after #54, in which the encounter with Big Hole appears first in Colonel RPG's let's play of Fallout: Nevada.
Below the screen with the film there are comments and in second comment (03.02.2020) there is phrase Black Rock. I read and wrote about certain black thing which could be considered similar to a rock about 10 - 20 minutes ago. And in one of forums I saw posts from the user which has login pretty similar to Black Rock (first seven letters (with space) the same, also nine letters in total).

There is also something about 11.11.2019. In film No trespassing in Area 51 - Let's Play Fallout: Nevada #59 in Colonel RPG's channel there is a "conversation" with a computer in the beginning of the film. There is something about aliens (3. Read about aliens). About 1:20.

Maybe I watched #55 11.11.2019 when I noticed link to #59?

The Three Fat Pigs and The Big Bad Gassy Wolf by Taktakjjjjj - first link in results for phrase fat f*rt pig in Google (without quotation marks, * = a here).
(Contains Fart, Fat, and Butt fetish) - first words in the description. All fetishes are evil.

Before it I saw results for japanese woman f*rts during laser surgery and japanese woman f*rts (without quotation marks, * = a), it was on 21:07 (Polish winter time). For second query there were many very immodest (pornographic) images of naked buttocks of women. It was evil! It should not be so! But it caused coincidence. Third link with text: ‎Fat Pig: Episode 51: F*rt Porn - first words in it! Again, * = a.

Episode 51 - associated with Area 51 and Ben 10 - Ultimatum Obcych - 51 - Wróg Ostateczny Część 1? Today there was another coincidence with Area 51? Maybe with aliens rather. But was this Ben 10 episode(?) the episode number 51?

Why there were coincidences with sports, Fallout, pornography, religions?

Coincidence 21, 42, 84 is very important and beautiful. Combination of schizotypy, OCD and PDD. They gave it. It is amazing geometrical sequence!
- 21, 42, 84 is not constant (unlike, for example, 1, 1, 1 or 22, 22, 22),
- it is built by numbers which have two different digits in themselves (unlike, for example, 11, 22, 44 or 22, 44, 88)
- all digits in it have the same number of digits (unlike, for example, 4, 8, 16 or 9, 18, 36).

Two digits in 21, 42, 84 repeat themselves (2 and 4) and two do not repeat themselves (1 and 8). Sum of repeating digits is 6, sum of non-repeating ones is 9.
Number of numbers in the sequence is 3. From digits which do not repeat themselves numbers 18 and 81 can be formed. They are 9+9 and 9*9. Slight coincidence with 3, 6, 9.

I noticed something associated with arithmetic sequence 33, 42, 51 at 28.05.2020. These three numbers (33, 42, 51) are atomic numbers of, respecively: arsenic, molybdenum, antimony. Polish names of these elements (arsen, molibden, antymon) "were considered" by me as vulgarisms meaning, respectively: regio glutealis (buttocks, interval between them and anus), penis, vulva ((external) female genitalia). It was when I was about 13 - 16 years old. I used "autoprovocation" to popularize these neologisms without saying these three words. I told people that these words mean intimate body parts, especially in school. It started because of the word "arsenic" which has impolite word for rear end from British English "inside" it (four letters). So I decided that the word "arsen" would mean "buttocks". Without this rude British word, coincidence probably would have never happened.

First digits of numbers forming sequence 33, 42, 51 are: 3, 4, 5.
Second digits of numbers forming arithmetic sequence 33, 42, 51 are: 3, 2, 1.

3, 4, 5 will be bases of powers and 3, 2, 1 will be exponents of them:
3^3 = 3x3x3 = 27
4^2 = 4x4 = 16
5^1 = 5 = 5

We received arithmetic sequence 27, 16, 5. Its sum of numbers is 48 and aritmetic mean is 16.
Sums of digits in 27, 16, 5 are:
2+7 =9
1+6 = 7
5 = 5
We received another arithmetic sequence: 9, 7, 5. This sequence is very interesting for me because it has sum of numbers (and digits) 21 and arithmetic mean of numbers 7.
21, 7 - it is most coincident double for me.

It is interesting if there is any other triad of numbers (at least where all are two-digits) where first and second digits form non-constant arithmetic sequences and if first digits would be bases of powers and second would be exponents which has results of exponentition forming arithmetic sequence... Or geometric sequence.

For 15, 24, 33 (formed by reading 33, 42, 51 backwards) the results of exponentiation will not form arithmetic or geometric sequence:
1^5 = 1x1x1x1x1 = 1
2^4 = 2x2x2x2 = 16
3^3 = 3x3x3 = 27