模运算相关,题目我都看不懂1.(a)Show that for 所有 [a]属于Z7,如果 [a] 不等于 [0],则[a]6=[1].(b)让正整数n 有 gcd(n,7)=1.证明 7能被(n^6-1)整除.2.解下列关于x的linear congruences (译作线性同余?)a)3x=7 (mod 31) b
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![模运算相关,题目我都看不懂1.(a)Show that for 所有 [a]属于Z7,如果 [a] 不等于 [0],则[a]6=[1].(b)让正整数n 有 gcd(n,7)=1.证明 7能被(n^6-1)整除.2.解下列关于x的linear congruences (译作线性同余?)a)3x=7 (mod 31) b](/uploads/image/z/10109515-67-5.jpg?t=%E6%A8%A1%E8%BF%90%E7%AE%97%E7%9B%B8%E5%85%B3%2C%E9%A2%98%E7%9B%AE%E6%88%91%E9%83%BD%E7%9C%8B%E4%B8%8D%E6%87%821.%28a%29Show+that+for+%E6%89%80%E6%9C%89+%5Ba%5D%E5%B1%9E%E4%BA%8EZ7%2C%E5%A6%82%E6%9E%9C+%5Ba%5D+%E4%B8%8D%E7%AD%89%E4%BA%8E+%5B0%5D%2C%E5%88%99%5Ba%5D6%3D%5B1%5D.%28b%29%E8%AE%A9%E6%AD%A3%E6%95%B4%E6%95%B0n+%E6%9C%89+gcd%28n%2C7%29%3D1.%E8%AF%81%E6%98%8E+7%E8%83%BD%E8%A2%AB%28n%5E6-1%29%E6%95%B4%E9%99%A4.2.%E8%A7%A3%E4%B8%8B%E5%88%97%E5%85%B3%E4%BA%8Ex%E7%9A%84linear+congruences+%28%E8%AF%91%E4%BD%9C%E7%BA%BF%E6%80%A7%E5%90%8C%E4%BD%99%3F%29a%293x%3D7+%28mod+31%29+b)
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