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关于n次费马解通解的探究与证明 |
Explore and prove about the general solution of Fermat Solution |
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DOI: |
中文关键词: 费马解 n次费马解 通解 证明 |
英文关键词: Fermat’s solution Fermat’s solutions for any power of n general solution prove |
基金项目: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) |
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中文摘要: |
对任一奇素数p和正整数n,给出满足xp-1≡1(modpn)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. |
英文摘要: |
For p is an odd prime numbers, n is a positive integer. The formula of general solution was given that meet the condition xp-1≡1(modpn), 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. |
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