There are no Carmichael numbers of the form \(2^np+1\) with \(p\) prime

DOI10.5802/crmath.393zbMath1504.11013OpenAlexW4300978941MaRDI QIDQ2080964

Florian Luca, Adel N. Alahmadi

Publication date: 12 October 2022

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/crmath.393

zbMATH Keywords

Carmichael numbersSierpinski numbers

Mathematics Subject Classification ID

Factorization; primality (11A51)

Cites Work

• On the density of odd integers of the form \((p-1)2^{-n}\) and related questions
• There are infinitely many Carmichael numbers
• Carmichael numbers in the sequence $(2^n k+1)_{n\geq 1}$
• The Impossibility of Certain Types of Carmichael Numbers
• Primes in intervals of bounded length
• Sierpiński and Carmichael numbers

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