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Variants of Korselt’s Criterion

  • Thomas Wright (a1)
Abstract

Under sufficiently strong assumptions about the first term in an arithmetic progression, we prove that for any integer a, there are infinitely many n ∊ ℕ such that for each prime factor p | n, we have pa | na. This can be seen as a generalization of Carmichael numbers, which are integers n such that p − 1 | n − 1 for every p | n.

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[Xy] Xylouris, T., Ûber die Linniksche Konstante'. arxiv:0906.2749
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Canadian Mathematical Bulletin
  • ISSN: 0008-4395
  • EISSN: 1496-4287
  • URL: /core/journals/canadian-mathematical-bulletin
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