Infinitely Many Carmichael Numbers in Arithmetic Progressions

preprint2012arXivOpen access

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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Infinitely Many Carmichael Numbers in Arithmetic Progressions

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