There is no Carmichael number of the form \(2^n p^2+1\) with \(p\) prime

zbMATH Open1543.11005MaRDI QIDQ6546714

Jean Lucien Randrianantenaina, Florian Luca

Publication date: 30 May 2024

Published in: Integers (Search for Journal in Brave)

zbMATH Keywords

Carmichael numberKorselt criterion

Mathematics Subject Classification ID

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Cites Work

• There are no Carmichael numbers of the form \(2^np+1\) with \(p\) prime
• Carmichael numbers in the sequence $(2^n k+1)_{n\geq 1}$
• The Impossibility of Certain Types of Carmichael Numbers

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