重庆三峡学院学报
重慶三峽學院學報
중경삼협학원학보
JOURNAL OF CHONGQING THREE-GORGES UNIVERSITY
2013年
3期
12-16
,共5页
完全数%偶完全数的素因式%最大梅森素数%反证法
完全數%偶完全數的素因式%最大梅森素數%反證法
완전수%우완전수적소인식%최대매삼소수%반증법
perfect number%even perfect number%the prime factor resolution of the maximum prime%paradox derivation
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.
應用諸多名傢的定理,併利用梅森閤數的素因素分解式,求齣兩梅森數下標素數的關繫;用反證法和枚舉法以及導數,假設存在最大梅森素數,從而引齣矛盾,證明命題.
응용제다명가적정리,병이용매삼합수적소인소분해식,구출량매삼수하표소수적관계;용반증법화매거법이급도수,가설존재최대매삼소수,종이인출모순,증명명제.
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.
