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arXiv 1708.07884math.GM
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希尔伯特第八问题的一种可能解:孪生素数猜想

A Possible Solution for Hilbert's Unsolved 8th Problem: Twin Prime Conjecture

Yuhsin Chen, Yensen Ni, Muyi Chen

摘要:

我们根据埃拉托斯特尼筛子推断的素数来衡量是否存在许多对孪生素数(以下简称孪生素数对)。在这项研究中,我们发现至少有三个额外的孪生素数对随着n的增加而增加,同时设置(6n+5)**2作为估计孪生素数对的范围。从而证明了de Polignac在1849年提出的孪生素数猜想。也就是说,存在许多孪生素数对,通过对于k = 1的情况使p + 2k作为素数,表明对于每个自然数k存在许多素数p。

英文摘要:

We measure whether there are numerous pairs of twin primes (hereafter referred to as twin prime pairs) according to the prime number inferred by sieve of Eratosthenes. In this study, we reveal at least three additional twin prime pairs increased as n is increased by 1, while setting (6n+5)**2 as the range for estimating twin prime pairs. As a result, we prove the Twin Prime Conjecture proposed by de Polignac in 1849. That is, there are numerous twin prime pairs, indicating that there are numerous prime number p for each natural number k by making p + 2k as prime number for the case of k = 1.

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