ON CARMICHAEL NUMBERS IN ARITHMETIC PROGRESSIONS

DOI10.1017/S1446788710000169zbMath1208.11109MaRDI QIDQ3577302

William D. Banks, Carl B. Pomerance

Publication date: 22 July 2010

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

arithmetic progressionCarmichael numberresidue class

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Primes in congruence classes (11N13) Distribution of integers with specified multiplicative constraints (11N25) Factorization; primality (11A51)

Related Items (10)

Carmichael numbers and the sieve ⋮ On the Carmichael rings, Carmichael ideals and Carmichael polynomials ⋮ A CONDITIONAL DENSITY FOR CARMICHAEL NUMBERS ⋮ Unnamed Item ⋮ Carmichael numbers with a totient of the form \(a^2+nb^2\) ⋮ Unnamed Item ⋮ Arithmetic progressions of Carmichael numbers in a reduced residue class ⋮ Some thoughts on pseudoprimes ⋮ Sierpiński and Carmichael numbers ⋮ CARMICHAEL NUMBERS IN ARITHMETIC PROGRESSIONS

Cites Work

• There are infinitely many Carmichael numbers
• The Carmichael Numbers up to 10 15
• WATT'S MEAN VALUE THEOREM AND CARMICHAEL NUMBERS
• The Pseudoprimes to 25 ⋅10 9
• Almost-primes in arithmetic progressions and short intervals

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