Number Theory


Consideration of Twin Prime Conjecture\\ Average Difference is 2.296

Authors: Toshiro Takami

I considered 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.\\ 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.\\ The places where prime numbers come out are filled with multiples of primes one after another, and eventually disappear almost.\\ Primes can only occur very rarely when the numbers are huge.\\ This is natural from the following equation.\\ \begin{equation} \pi(x)\sim\frac{x}{\log{x}}\ \ \ (x\to\infty) \end{equation}\\ $[Probability\ of\ the\ Existence\ of\ primes]^2\times4/3\sim$ (Probability\ of\ the\ Existence\ of\ Twin\ Primes)\\ When the number becomes extreme, the generation of primes becomes extremely small. However, it is not 0.\\ Very few, but primes are generated.\\ If the twin primes appears as two primes completely independently, Twin Prime Problem is denied.\\ However, if twin primes appear in combination and appear like primes, twin primes consist forever and Twin Prime Problem is correct.\\

Comments: 4 Pages.

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Submission history

[v1] 2019-12-11 01:03:26
[v2] 2019-12-13 05:36:02
[v3] 2019-12-14 15:57:03

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