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[数论] 狄利克雷定理

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业余的业余 posted 2023-11-3 10:19 |Read mode
Last edited by 业余的业余 2023-11-6 06:16已知对任意的互质的正整数 $a,m$,存在质数 $p\equiv a\pmod{m}$.

求证: 对任意的互质的正整数 $a,m$, 存在无穷多的质数 $p\equiv a\pmod{m}$.
original poster 业余的业余 posted 2023-11-4 22:46
Last edited by 业余的业余 2023-11-6 06:18已解决。需要说明的是狄利克雷定理是无法这样证明的,因为证明它的前提成立的难度并没有降低。

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