Carmichael numbers in number rings

DOI10.1016/j.jnt.2007.08.009zbMath1176.11049OpenAlexW2024831203MaRDI QIDQ958663

G. Ander Steele

Publication date: 5 December 2008

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2007.08.009

zbMATH Keywords

number fieldCarmichael numbersKorselt's criterion

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Algebraic numbers; rings of algebraic integers (11R04) Primes (11A41)

Related Items (3)

On the Carmichael rings, Carmichael ideals and Carmichael polynomials ⋮ Fermat test with Gaussian base and Gaussian pseudoprimes ⋮ Carmichael numbers for $\mathrm{GL}(m)$

Cites Work

• There are infinitely many Carmichael numbers
• An upper bound for the g.c.d. of \(a^n-1\) and \(b^n -1\)
• ARTIN'S CONJECTURE FOR PRIMITIVE ROOTS
• Higher-order Carmichael numbers
• The Number of Representations of an Integer as the Sum of a Prime and a k-Free Integer

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