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arXiv · 1305.3580

Carmichael numbers in the sequence (k2^n+1)_{n\ge 1}

Javer Cilleruelo·Florian Luca·Amalia Pizarro
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Abstract

We prove that for each odd number k, the sequence (k2^n+1)_{n\ge 1} contains only a finite number of Carmichael numbers. We also prove that k=27 is the smallest value for which such a sequence contains some Carmichael number.

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Javer Cilleruelo, Florian Luca, Amalia Pizarro. 2013-05-15. Carmichael numbers in the sequence (k2^n+1)_{n\ge 1}. https://arxiv.org/abs/1305.3580

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