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arXiv · 2010.06013

Arithmetic progressions of Carmichael numbers in a reduced residue class

William D. Banks
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Abstract

Fix coprime natural numbers $a,q$. Assuming the Prime $k$-tuple Conjecture, we show that there exist arbitrarily long arithmetic progressions of Carmichael numbers, each of which lies in the reduced residue class $a$ mod $q$ and is a product of three distinct prime numbers.

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William D. Banks. 2020-10-12. Arithmetic progressions of Carmichael numbers in a reduced residue class. https://arxiv.org/abs/2010.06013

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