孪生素数分布原理  

The Principle of Twin Prime Distribution

作　　者：刘丹 石勇国[1] 

机构地区：[1]内江师范学院数学与信息科学学院 四川 内江

出　　处：《应用数学进展》2024年第7期3456-3466,共11页Advances in Applied Mathematics

摘　　要：孪生素数分布问题,通常是用传统的筛法研究。我们提出对应素数的初等方法。包括整数的对应素数,合数的对应素数,还有素数的对应素数,即孪生素数。我们研究了整数,合数与素数对应素数的分布规律,由此,证明了孪生素数分布原理。运用孪生素数分布原理,并且参照素数定理的传统证明方法,证明了合数对应素数上限。对应素数初等方法,为研究孪生素数分布提供了新的途径。The distribution of twin prime numbers is usually studied using traditional screening methods. We propose a research method for corresponding prime numbers. This includes the corresponding prime numbers of integers, the corresponding prime numbers of composite numbers, and the corresponding prime numbers of prime numbers, namely twin prime numbers. We studied the distribution law of prime numbers corresponding to integers, composite numbers, and prime numbers, and thus proved the principle of twin prime number distribution. By applying the principle of twin prime number distribution and referring to the proof method of prime number theorem, the upper limit of prime numbers corresponding to composite numbers has been proved. The research method of corresponding prime numbers provides a new approach for studying the distribution of twin prime numbers.

关 键 词：合数 对应素数 孪生素数分布原理 合数对应素数上限 

分 类 号：O15[理学—数学]