Carmichael numbers with a totient of the form \(a^2+nb^2\)

DOI10.1007/s00605-011-0306-4zbMath1321.11100OpenAlexW2057314431MaRDI QIDQ1759675

William D. Banks

Publication date: 21 November 2012

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-011-0306-4

zbMATH Keywords

Carmichael numberstotientsmooth shifted primes

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Distribution of integers with specified multiplicative constraints (11N25)

Related Items (2)

Carmichael numbers and the sieve ⋮ Sierpiński and Carmichael numbers

Cites Work

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• There are infinitely many Perrin pseudoprimes
• There are infinitely many Carmichael numbers
• ON CARMICHAEL NUMBERS IN ARITHMETIC PROGRESSIONS
• WATT'S MEAN VALUE THEOREM AND CARMICHAEL NUMBERS
• Carmichael Numbers with a Square Totient
• On the distribution of prime numbers which are of the form $x^2 + y^2 +1$
• Primes of the type φ(x, y)+A where φ is a quadratic form
• On the Number of Carmichael Numbers up to x
• Primes in arithmetic progressions

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