欧拉函数的例外值

摘要

A problem in number theory which is called Euler function's nontotients is studied,the necessary and sufficient conditions for n=4p1α1p2α2...psαs(4‖n) to be a nontotient,where the primes pi(1≤i≤s) satisfy p1＜p2＜…＜ps are obtained.%研究了一个数论问题:欧拉函数的例外值,得到了n=4p1α1p2α2...psαs(p1,…,ps为互异的奇质数)即 4‖n的n为Euler函数例外值的充分必要条件.