A generalisation of a congruence due to Vantieghem only holding for primes

2004/02/08 by L. J. P. Kilford, Kilford, L. J. P.
Mathematics · #11A51 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11A51

paper · pdf · doi:10.48550/arxiv.math/0402128

arxiv created 2004/02/08 · openalex publication_date 2004/02/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we present a family of congruences which hold if and only if a natural number n is prime.

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