欧拉一费尔马（小）定理为初等数论中极为重要定理之一．最早由费尔马1640年提出（未证明）．后经欧拉推广证明．它是解决二次同余式关键．有许多应用．在中学，被列入《高中数学竞赛大纲》（二试）．主要解数学竞赛中求余数、整除等有关问题．考虑不少师生对定理及应用均不熟 The Euler-Ferma (small) theorem is one of the most important theorems in elementary number theory. First proposed by Ferma in 1640 (unproven). After the promotion by Euler proved. It is the key to solving the quadratic congruence. There are many applications. In high school, was included in the “High School Mathematics Competition Outline” (second test). The main solution mathematics contest in the remaining number, divide and other related issues. Consider that many teachers and students are not familiar with the theorem and application