Researches on the Twin Prime Problem

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.