摘要
人们猜想费马数Ｆｎ＝２２ｎ＋１只有Ｆ０，Ｆ１，Ｆ２，Ｆ３，Ｆ４这５个数是素数，并且猜想费马数Ｆｎ是合数时，它的标准分解式是Ｆｎ＝ｐ１ｐ２…ｐｔ．该文给出了费马数Ｆｎ有两个素因数的充分与必要条件，这也就是给出了Ｆｎ是合数的充分条件以及Ｆｎ＝ｐ１ｐ２…
People guess that Fermat number F n=2 2 n +1 only has (F 0,F 1,F 2,F 3,F 4) five prime numbers,and its factorization into prime number is F n=p 1p 2…p t when F n is a composite number.In this paper,we give a necessary and sufficient condition for Fermat number F n which has two prime factors.That is a sufficient condition where F n is a composite number,and is also a necessary condition for F n=p 1p 2…p t.
出处
《江西师范大学学报（自然科学版）》
CAS
1997年第2期114-116,共3页
Journal of Jiangxi Normal University(Natural Science Edition)
关键词
正整数
标准分解式
同余方程
费马数
素因数
positive integer standard factorization into prime number,solutions of congrence equation and the number of the solutions,nonnegative minimum complete set of residual of modular m
