A necessary condition for 2p to be congruent for a prime p ≡ 5 \pmod 8

2024/02/29 by Ghosh, Arkabrata
#11A15 #11G05 #11R29 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2403.19685

Abstract

In this article, we consider primes p ≡ 5 \pmod 8 and are able to prove that p ≡ 5 \pmod 16 if 2p is a congruent number.

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