## Number Theory   ## A proof of Twin Prime Conjecture

Authors: Toshiro Takami

I proved the Twin Prime Conjecture. The probability that (6n -1) is a prime and (6n+1) is also a prime approximately is slightly lower than 4/3 times the square of the probability that a prime will appear in. I investigated up to 5$\times10^{12}$.\\ All Twin Primes are produced in hexagonal circulation. It does not change in a huge number (forever huge number).\\ The production of Twin Primes equal the existence of Twin Primes.\\ When the number grows to the limit, the primes to be produced rarely, but since Twin Primes are slightly lower than 4/3 times the square of the distribution of primes, the frequency of production of Twin Primes is very equal to 0.\\ However, it is not 0. Because, primes continue to be produced. Therefore, Twin Primes continue to be produced.\\ If the Twin Primes is finite, the primes is finite.\\ This is because slightly lower than 4/3 times the square of the probability of primes is the probability of Twin Primes. This is contradiction. Because there are an infinite of primes.\\

### Submission history

[v1] 2019-12-08 17:27:50
[v2] 2019-12-08 21:38:41
[v3] 2019-12-28 17:51:18
[v4] 2019-12-28 23:10:57