摘要
本文证明了任何费尔马合数都是伪素数，但都不是绝对伪素数；ｐ＞２，ｐ｜Ｆｎ的充要条件是，２关于模ｐ的次数为２ｎ＋１；素数ｐ｜Ｆｎ，则ｐｓ｜Ｆｎ的充要条件是，２ｐ－１２≡１（ｍｏｄｐＳ）．
In this paper, it has been proved that every fermat composite number is a pseudoprime number, but is not a absolutely pseudoprime number. l. The necessary and sufficient condition for p |F n( p >2) is that the power of (2mod p ) is 2 n+1 .2.the necessary and sufficient condition for p s|F n.is 2 p-12 ≡1(mod p s),( p |F n, p is a prime number).
出处
《广西民族学院学报（自然科学版）》
CAS
1998年第4期3-5,共3页
Journal of Guangxi University For Nationalities(Natural Science Edition)
