梅森素数研究的若干基本理论及其意义  

Some Fandational Theory and Significance of Reseanch of Mersenne Primes

作　　者：高全泉[1] 

机构地区：[1]中国科学院数学与系统科学研究院,北京100080

出　　处：《数学的实践与认识》2006年第1期232-238,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金资助(60072006)

摘　　要：梅森素数的研究历史源远流长,意义非凡.介绍相关的定义、理论及算法,归纳此项工作的意义,并讨论一些有待解决的相关数论问题.Research of Mersenne Prime has a long history and outdtanding significance. In this paper, we＇ll introduce some fandational theory about research of Mersenne prime, including a few relevant definitions, theorems and algorithms, we also summarize its significance, and sevarl number theroy problems which are unresolved are mentioned.

关 键 词：梅森索数 数论 素数搜寻 偶完全数 

分 类 号：O156.1[理学—数学]