| 关于判别素数的充要条件 |
| |
| 引用本文： | 王云葵,马武瑜.关于判别素数的充要条件[J].延安大学学报(自然科学版),2001,20(1):18-20. |
| |
| 作者姓名： | 王云葵 马武瑜 |
| |
| 作者单位： | 广西民族学院数学系, |
| |
| 基金项目： | 广西民族学院重点科研资助项目. |
| |
| 摘 要： | 利用等幂和与判别素数的充要条件及等幂和与Bernoulli数的同余关系，获得了与Bernoulli数有关的判别素数的充要条件，得到了整除Bernoulli数的充要条件，同时还得到了G.Giuga猜想的三个等价命题．
|
| 关 键 词： | 等幂和 Bernoulli数 充要条件 G．Giuga猜想 |
| 文章编号： | 1004-602X(2001)01-0018-03 |
| 修稿时间： | 2000年5月25日 |
A necessary and sufficient
condition to discrimination between prime numbers |
| |
| WANG Yun-kui,MA Wu-yu.A necessary and sufficient
condition to discrimination between prime numbers[J].Journal of Yan'an University(Natural Science Edition),2001,20(1):18-20. |
| |
| Authors: | WANG Yun-kui MA Wu-yu |
| |
| Abstract: | In this paper,weobtain the necessary and sufficient condition for discriminant prime numbers relating to Bernoulli's numbers and for the exactly divisible Bernoulli＇s number s by using sum of equal powers, by using the necessary and sufficient condition for discriminant prime numbers and the congruent relation of Bernoulli's numbers related sum of equal powers. |
| |
| Keywords: | sum of equal powers Bernoulli's numbers necessary and sufficient condition G Giuga conjecture |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
