摘要
对任一奇素数p和正整数n,给出满足x^(p-1)≡1(modp^n)的解的一般表达式,推广了华罗庚关于费马解的概念,得到了任意奇素数p都存在无穷多个任意n次费马解及其相关性质.
For p is an odd prime numbers,n is a positive integer. The formula of general solution was given that meet the condition x^p-1≡ 1（modp^n）,and the concept of Hua Luogeng about Fermat＇s solution was promoted. In addition,a conclusion was come to that：there are an infinite Fermat＇s solutions for any power of n,and the involved nature of Fermat＇s solution was proved.
出处
《湖南科技大学学报（自然科学版）》
CAS
北大核心
2016年第2期117-121,共5页
Journal of Hunan University of Science And Technology：Natural Science Edition
基金
贵州省教育厅优秀科技创新人才项目(黔教合KY字[2013]153)
湖南省自然科学基金资助项目(14JJ7047)
凯里学院博士教授启动基金项目(BS201309)
关键词
费马解
n次费马解
通解
证明
Fermat＇s solution
Fermat＇s solutions for any power of n
general solution
prove
