ScholarLens Back to search
2021•viXraRequires access

A Proof of Twin Prime Number Conjecture

Zhi Li, Hua Li

Open publisher page 0 citations

Abstract

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. This paper proves the twin prime number conjecture through probability and statistics, and further discovers the twin prime number distribution theorem and the prime pair distribution theorem.

About this research paper

What this paper is about

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. This paper proves the twin prime number conjecture through probability and statistics, and further discovers the twin prime number distribution theorem and the prime pair distribution theorem.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

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. This paper proves the twin prime number conjecture through probability and statistics, and further discovers the twin prime number distribution theorem and the prime pair distribution theorem.

Key concepts: Twin prime, Mathematics, Conjecture, Prime (order theory), Prime number, Prime k-tuple, Multiplicative number theory, Combinatorics

Back to paper searchBrowse research topicsOriginal source
A Proof of Twin Prime Number Conjecture — Research Paper | ScholarLens