Smarandache p次方阶数的计算

The Computation of Smarandache Orders of p-th Powers

对于奇素数p和正整数n,设zn=min{m︱m∈N,npm≡1(mod(n+1)p)},称为n的Smarandache p次方阶数.运用初等方法给出了zn的计算公式,并且纠正了现有结果中的错误.

For any odd prime p and any positive integer n,let zn = min {m m ∈ N,npm ≡1（mod （n ＋ 1）p ）},which is called the Smarandache Orders of p-th Power of n.In this paper,using some elementary methods,a formula of zn is given and certain wrong conclusions in previous results are corrected.