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arxiv: 1212.5850 · v1 · pith:JXIR4EZHnew · submitted 2012-12-24 · 🧮 math.NT

Infinitely Many Carmichael Numbers in Arithmetic Progressions

classification 🧮 math.NT
keywords carmichaelinfinitelymanynumbersarithmeticequivmathbbprogressions
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In this paper, we prove that for any $a,M\in \mathbb N$ with $(a,M)=1$, there are infinitely many Carmichael numbers $m$ such that $m\equiv a$ mod $M$

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