A necessary condition for \(2p\) to be congruent for a prime \(p \equiv 5 \pmod 8\)

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

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Bibliographic Details
Published in:arXiv.org 2024-04
Main Author: Ghosh, Arkabrata
Format: Article
Language:English
Online Access:Get full text
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Summary:In this article, we consider primes \(p \equiv 5 \pmod 8\) and are able to prove that \(p \equiv 5 \pmod {16}\) if \(2p\) is a congruent number.
ISSN:2331-8422