Number Theory

    

Proofs of Twin Prime Number Conjecture and First Hardy-Littlewood Conjecture

Authors: Zhi Li, Hua Li

The twin prime conjecture was proposed by Alfonse de Polignac in 1849 and has not been proven for nearly 300 years. Since there is no mathematical model for prime numbers that can be completely and accurately represented, prime numbers are randomly distributed on the number axis, and twin prime numbers are also randomly distributed. In this paper, the twin prime conjecture is proved by probability and statistics, the twin prime distribution theorem and prime pair distribution theorem are found, and the First Hardy-Littlewood conjecture is further proved.

Comments: 7 Pages.

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Submission history

[v1] 2021-11-21 17:09:42
[v2] 2022-01-10 21:17:04
[v3] 2022-04-12 21:11:32

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