在高考和各类竞赛中,常出现与正整数有关,但不是纯数论的问题,解决它常需要较强的技巧.一、基础知识1·质数、合数与算术基本定理大于1的整数按它具有因数的情况可分为质数和合数两大类.一个大于1的整数,如果除了1和它自身以外没有其他正因子,则称此数为质数或素数,否则,称为合 In the college entrance examination and various competitions, there are often related to positive integers, but it is not a problem of pure number theory. Solving it often requires strong skills. First, basic knowledge 1. Prime number, total number, and basic theorem of arithmetic greater than 1 Its condition with a factor can be divided into two major categories: prime number and total number. An integer greater than 1 can be called prime or prime if it has no other positive factors other than 1 and itself. Otherwise, it is called