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国际应用数学进展

Advances in International Applied Mathematics

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Advances in International Applied Mathematics. 2021; 3: (1) ; 10.12208/j.aam.20210003 .

A Note on Twin Prime Numbers
关于孪生素数的一个注记

作者: 胡泽春*,

四川大学数学学院 四川成都

*通讯作者: 胡泽春,单位:四川大学数学学院 四川成都;

引用本文: 胡泽春, 关于孪生素数的一个注记[J]. 国际应用数学进展, 2021; 3: (1) : 42-51.
Published: 2021/12/14 18:09:13

摘要

在这篇注记中,我们对数列{Sn}进行一些讨论,其中Sn表示第n对孪生素数的和(我们把(3,5)作为第一对孪生素数)。我们将提出几个关于{Sn}的猜想,其中一个为孪生素数猜想的加强形式。

关键词: 孪生素数;孪生素数猜想

Abstract

In this note, we make some discussions about the number sequence {Sn}, where Sn is the sum of the n th pair of twin prime numbers (we regard (3,5) as the first pair). We will introduce several conjectures on the sequence {Sn}, one of which is a stronger version of twin prime number conjecture.

Key words: Twin Prime Number; Twin Prime Number Conjecture

参考文献 References

[1] J. R. Chen, On the representation of a larger even integer as the sum of a prime and the product of at most two primes. Sci. Sinica, 16 (1973), 157–176 .

[2] Y. Zhang, Bounded gaps between primes. Ann. of Math. (2), 179 (2014), no. 3, 1121–1174.

[3] Y. Motohashi, The twin prime conjecture, arXiv: 1401.6614v2, 2014.