Note on the congruence \(2^{in}\equiv(-)^n(2n)!/(n!)^2\), where \(2n+1\) is a prime.

DOI10.2307/1967516zbMath26.0208.02OpenAlexW2313481694MaRDI QIDQ1524763

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Publication date: 1895

Published in: Annals of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1967516

zbMATH Keywords

congruencebinomial coeffecient

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07)

Related Items (4)

Elementary proof of congruences involving trinomial coefficients for Babbage and Morley ⋮ Supercongruences concerning bi\(^s\)nomial coefficients ⋮ On the Kimoto-Wakayama supercongruence conjecture on Apéry-like numbers ⋮ On some congruences involving central binomial coefficients

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