On Carmichael numbers of the form $2^np^m+1$

Florian Luca

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arXiv · 2606.28829

On Carmichael numbers of the form $2^np^m+1$

Florian Luca

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Abstract

Here, we show that if $m\ge 5$ is fixed and odd, then there are only finitely many Carmichael numbers of the form $2^np^m+1$ for positive integers $n$ and prime $p$.

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Florian Luca. 2026-06-27. On Carmichael numbers of the form $2^np^m+1$. https://arxiv.org/abs/2606.28829

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