整除在初等数论中的应用  

The Application of the Divisibility in Elementary Number Theory

作　　者：夏建慧[1] XIA Jian-hui(Functional Materials Research Laboratory of Tongji University,Shanghai 200092,China)

机构地区：[1]同济大学功能材料研究所,上海200092

出　　处：《大学数学》2018年第1期36-44,共9页College Mathematics

摘　　要：利用格点图内因子的分布规律,推导出素数判断函数,孪生素数判断函数,歌德巴赫素数判断函数;推导出可计算不大于某正整数的素数个数,不大于某正整数的孪生素数个数和大偶数包含的歌德巴赫素数个数精确和近似的计算公式.We use the law of factor distribution in matrix to driver the prime judgment function,twin prime judgment function and Goldbach’s prime judgment function.And using the same law,we driver the formula that can calculate the number of prime numbers not greater than a certain number,the number of twin prime numbers not greater than a certain number and the number of Goldbach’s prime.

关 键 词：素数判断函数 素数个数 孪生素数猜想 歌德巴赫猜想 

分 类 号：O156.1[理学—数学]