摘要
讨论了正整数(2n)2n+1某些性质,给出了其不与任正整数构成拟亲数结论,并证明了其相异素因个数不超过[2(2n-2)/n+1],其中[x]表示为不超过x最大整数.
the positive integer (2n)^2n+1 are not amicable numbers of any positive integer,and the number of its distinct prime factors does not exceed [2^2n-2)/n+1].x is the largest integer no larger than x.
出处
《温州大学学报(自然科学版)》
2013年第2期7-10,共4页
Journal of Wenzhou University(Natural Science Edition)
关键词
亲数
拟亲数
相异素因
Amicable Number
Quasi-amicable Number
Distinct Prime Factors