A necessary condition for $2p$ to be congruent for a prime $p \equiv 5 \pmod 8$
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929297697013760 |
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| author | Ghosh, Arkabrata |
| author_facet | Ghosh, Arkabrata |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_19685 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A necessary condition for $2p$ to be congruent for a prime $p \equiv 5 \pmod 8$ Ghosh, Arkabrata Number Theory 11A15, 11G05, 11R29 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. |
| title | A necessary condition for $2p$ to be congruent for a prime $p \equiv 5 \pmod 8$ |
| topic | Number Theory 11A15, 11G05, 11R29 |
| url | https://arxiv.org/abs/2403.19685 |