## Number Theory   Authors: Toshiro_Takami

I proved the Twin Prime Conjecture. The probability twin 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$\times10^{12}$.\\ 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.\\ \ \\ $[Probability\ of\ the\ Existence\ of\ primes]^2\times4/3$=\\ (Probability\ of\ the\ Existence\ of\ Twin\ Primes)\\ When the number becomes extreme, the generation of prime numbers becomes extremely small. However, it is not 0.\\ Very few, but prime numbers are generated.\\ Therefore, even if the number reaches the limit, twin prime numbers are also generated.\\ That is, Twin Primes exist forever.\\

### Submission history

[v1] 2019-12-28 11:07:51
[v2] 2020-01-03 18:42:37