Researches on the Twin Prime Problem

TL;DR

This paper claims to prove the twin prime conjecture by constructing a special number set and demonstrating that the number of twin primes is infinite, based on new theorems and set intersections.

Contribution

It introduces a novel approach using special cluster number sets to prove the infinitude of twin primes, claiming a proof of the twin prime conjecture.

Findings

Proves the infinitude of twin primes.

Constructs a special cluster number set.

Establishes the divergence of a series related to twin primes.

Abstract

Twin prime number problem is mainly the structure of the twin prime numbers and whether there are infinitely many prime twins group. In this paper, by constructing a special cluster number set(see formula(2.3)in the paper), proves that the number of set number of the first n columns set the intersection of the minimum number of q is decision of the prime twins (q, q+2), and the minimum number of series is divergent(see Theorem 2).The main rezults are Theorem 2,Theorem 3 and Theorem 4.Prime twins so thoroughly proved there must be infinitely many groups of twin prime conjecture.