偶完全数有无穷多的证明  

Inexhaustible Testimonies of Even Perfect Numbers

作　　者：陈德建[1] 

机构地区：[1]黎明职业大学,福建泉州362000

出　　处：《重庆三峡学院学报》2013年第3期12-16,共5页Journal of Chongqing Three Gorges University

摘　　要：应用诸多名家的定理,并利用梅森合数的素因素分解式,求出两梅森数下标素数的关系;用反证法和枚举法以及导数,假设存在最大梅森素数,从而引出矛盾,证明命题.With many famous experts＇ theorems, and the prime factor resolution of Mersenne composite number, we found the relation of two primes subscripted to two Mersenne numbers, and assumed that there exists the maximum Mersenne prime. With contradiction and elimination and,also derivation, a paradox is derived and the proposition proved.

关 键 词：完全数 偶完全数的素因式 最大梅森素数 反证法 

分 类 号：O156.1[理学—数学]