A Proof on the Conjecture of Twin Primes

Zhang Yue
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Abstract

Although the mathematicians all over the world offered hard explorations of more than one hundred years, the proof of using pure mathematical theories on the conjecture of twin primes has not born in the world. This paper is trying to apply computer program to prove that corresponding to infinite primes p, there are infinite p+2 primes. As a mathematical proof, the paper uses the concept of mapping to connect the computer program and the pure mathematical theory. With the requirement of a mathematical proof, in accord with the restriction of the integer of which the computer allows to take, an assumption is suggested, and on the basis of it, using the program of C language the paper presents, or regarding the C program as the mapping from infinite p primes to infinite p+2 primes, the paper proves that corresponding to infinite primes p, there are infinite p+2 primes; namely, the conjecture of twin primes is true.
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孪生素数猜想的一个证明
尽管世界各国数学家进行了一百多年的艰苦探索,但世界上并没有出现用纯数学理论证明孪生素数猜想的方法。本文试图用计算机程序证明与无穷素数p相对应的有无穷个p+2个素数。作为一种数学证明,本文用映射的概念将计算机程序与纯数学理论联系起来。根据数学证明的要求,根据计算机允许取整数的限制,提出了一个假设,并在此基础上,用C语言编写程序,或把C语言程序看作无穷p素数到无穷p+2素数的映射,证明了无穷素数p对应有无穷p+2素数;也就是说,孪生素数的猜想是正确的。
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