Number Theory

    

Proof of the Triple and Twin Prime Conjectures Using the Sindaram Sieve Method

Authors: Kuiying Yan

Yitang Zhang proved in 2013 that there are infinitely many pairs of prime numbers differing by 70 million, it has been proved now that there are infinitely many pairs of prime numbers differing by 246. In this paper, we use the sievemethod invented by Snndaram in 1934 to find out the solution of triple prime numbers and twin prime numbers, and find the general solution formula of the subset, i.e, an1 + b which is result of each subset, such as 3n + 1, 5n + 2, 7n + 3, 9n + 4, 11n+ 5, 13n+ 6, 15n+ 7, 17n+ 8, · · · in 2mn+n+m, modulo x respectively (x ≤ 3 takes prime). This general solution formula is used to prove the triple prime conjecture and the twin prime conjecture.

Comments: 15 Pages.

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Submission history

[v1] 2023-04-20 23:55:17

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