费尔马小定理应用举例(二)

Examples of Applying Fermat s Little Theorem(2)

本文应用费尔马小定理证明了:(1)x^(2)+y^(2)=z^(2)的正整数解的两个性质;(2)√2、√3和√5是无理数;(3)一个不定方程无整数解.

By applying Fermat s little Theorem,this article presents proofs of(1)two properties of the positive integer solutions of x^(2)+y^(2)=z^(2);(2)the irrationality of √2、√3 and √5;and(3)no integer solution for an indefinite equation.