Congruences for Wolstenholme primes

DOI10.1007/s10587-015-0171-8zbMath1349.11050arXiv1108.4178OpenAlexW2594551739MaRDI QIDQ5249659

Romeo Meštrović

Publication date: 6 May 2015

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.4178

zbMATH Keywords

Bernoulli numbercongruenceprime powerWolstenholme primeWolstenholme's theorem

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68) Other combinatorial number theory (11B75) Congruences; primitive roots; residue systems (11A07)

Related Items (1)

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Cites Work

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• On the \(\pmod{p^7}\) determination of \({2p-1\choose p-1}\)
• Bernoulli numbers, Wolstenholme's theorem, and \(p^5\) variations of Lucas' theorem
• Note on Wieferich's congruence for primes \(p\equiv 1\pmod 4\)
• On Wolstenholme's theorem and its converse
• On congruences involving Bernoulli numbers and the quotients of Fermat and Wilson
• A generalization of a curious congruence on harmonic sums
• A search for Fibonacci-Wieferich and Wolstenholme primes
• A New Criterion for the First Case of Fermat's Last Theorem
• A Generalization of Wolstenholme's Theorem
• On the converse of Wolstenholme's Theorem
• WOLSTENHOLME TYPE THEOREM FOR MULTIPLE HARMONIC SUMS
• Some Wolstenholme type congruences
• A search for Wieferich and Wilson primes

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