On the Congruence of Twice a Prime
- Autores: Lur’e B.B.1, Poretsky A.M.2
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Afiliações:
- St.Petersburg Department of the Steklov Mathematical Institute
- St.Petersburg State University
- Edição: Volume 243, Nº 4 (2019)
- Páginas: 595-600
- Seção: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/243123
- DOI: https://doi.org/10.1007/s10958-019-04560-y
- ID: 243123
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Resumo
It is shown that if p is a prime equal to 5 modulo 8, then 2p cannot be a congruent number. It is also proved that if p is a prime equal to 1 modulo 8, then 2p can be congruent only if p ≡ 1 (mod 16).
Sobre autores
B. Lur’e
St.Petersburg Department of the Steklov Mathematical Institute
Autor responsável pela correspondência
Email: lurje@pdmi.ras.ru
Rússia, St.Petersburg
A. Poretsky
St.Petersburg State University
Email: lurje@pdmi.ras.ru
Rússia, St.Petersburg
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