On Carmichael and polygonal numbers, Bernoulli polynomials, and sums of base-$p$ digits

zbMath1479.11028arXiv1902.10672MaRDI QIDQ4991646

Jonathan Sondow, Bernd C. Kellner

Publication date: 3 June 2021

Full work available at URL: https://arxiv.org/abs/1902.10672

zbMATH Keywords

\(p\)-adic valuationCarmichael numbersBernoulli numbers and polynomialspolygonal numbersdenominatorsum of base-\(p\) digitsKnödel numbers

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Radix representation; digital problems (11A63) Factorization; primality (11A51)

Related Items (3)

On primary Carmichael numbers ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• There are infinitely many Carmichael numbers
• On a product of certain primes
• Eine obere Schranke für die Anzahl der Carmichaelschen Zahlen kleiner als \(x\)
• Two contradictory conjectures concerning Carmichael numbers
• WATT'S MEAN VALUE THEOREM AND CARMICHAEL NUMBERS
• The Pseudoprimes to 25 ⋅10 9
• Power-Sum Denominators
• The denominators of power sums of arithmetic progressions
• Carmichaelsche Zahlen
• Unsolved problems in number theory

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