基本同余定理证明【定义】设m是大于1的正整数,a,b是整数,如果m|(a-b),则称a与b关于模m同余,记作a≡b(mod m),读作a与b对模m同余.显然,有如下事实(1)若a≡0(mod m),则m|a;(2)a≡b(mod m)等价于a与b分别用m
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![基本同余定理证明【定义】设m是大于1的正整数,a,b是整数,如果m|(a-b),则称a与b关于模m同余,记作a≡b(mod m),读作a与b对模m同余.显然,有如下事实(1)若a≡0(mod m),则m|a;(2)a≡b(mod m)等价于a与b分别用m](/uploads/image/z/2445564-12-4.jpg?t=%E5%9F%BA%E6%9C%AC%E5%90%8C%E4%BD%99%E5%AE%9A%E7%90%86%E8%AF%81%E6%98%8E%E3%80%90%E5%AE%9A%E4%B9%89%E3%80%91%E8%AE%BEm%E6%98%AF%E5%A4%A7%E4%BA%8E1%E7%9A%84%E6%AD%A3%E6%95%B4%E6%95%B0%2Ca%2Cb%E6%98%AF%E6%95%B4%E6%95%B0%2C%E5%A6%82%E6%9E%9Cm%7C%28a-b%29%2C%E5%88%99%E7%A7%B0a%E4%B8%8Eb%E5%85%B3%E4%BA%8E%E6%A8%A1m%E5%90%8C%E4%BD%99%2C%E8%AE%B0%E4%BD%9Ca%E2%89%A1b%28mod+m%29%2C%E8%AF%BB%E4%BD%9Ca%E4%B8%8Eb%E5%AF%B9%E6%A8%A1m%E5%90%8C%E4%BD%99.%E6%98%BE%E7%84%B6%2C%E6%9C%89%E5%A6%82%E4%B8%8B%E4%BA%8B%E5%AE%9E%281%29%E8%8B%A5a%E2%89%A10%28mod+m%29%2C%E5%88%99m%7Ca%3B%282%29a%E2%89%A1b%28mod+m%29%E7%AD%89%E4%BB%B7%E4%BA%8Ea%E4%B8%8Eb%E5%88%86%E5%88%AB%E7%94%A8m)
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