关于所有偶数指数的Fermat最后定理的一个初等证明

IF 0.5 Q4 COMPUTER SCIENCE, THEORY & METHODS

Journal of Mathematical Cryptology Pub Date : 2020-01-01 DOI:10.1515/jmc-2016-0018

S. B. Karmakar

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引用次数: 2

摘要

摘要给出了当n为≥2的整数时，方程x2n+y2n=z2n不可能有任何非零正整数解的初等证明。为了证明该方程没有整数解，首先假设该方程有整数解。该方程不存在任何整数解是与假设相矛盾的。

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An elementary proof of Fermat’s last theorem for all even exponents

Abstract An elementary proof that the equation x2n + y2n = z2n can not have any non-zero positive integer solutions when n is an integer ≥ 2 is presented. To prove that the equation has no integer solutions it is first hypothesized that the equation has integer solutions. The absence of any integer solutions of the equation is justified by contradicting the hypothesis.

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来源期刊

Journal of Mathematical Cryptology COMPUTER SCIENCE, THEORY & METHODS-

CiteScore

2.70

自引率

8.30%

发文量

审稿时长

100 weeks