Variants of Korselt's Criterion

Thomas Wright

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arXiv · 1411.6583

Variants of Korselt's Criterion

Thomas Wright

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Abstract

Under sufficiently strong assumptions about the first term in an arithmetic progression, we prove that for any integer $a$, there are infinitely many $n\in \mathbb N$ such that for each prime factor $p|n$, we have $p-a|n-a$. This can be seen as a generalization of Carmichael numbers, which are integers $n$ such that $p-1|n-1$ for every $p|n$.

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Thomas Wright. 2014-11-24. Variants of Korselt's Criterion. https://arxiv.org/abs/1411.6583

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