Email this article On the Congruence of Twice a Prime
- Authors: Lur’e B.B.1, Poretsky A.M.2
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Affiliations:
- St.Petersburg Department of the Steklov Mathematical Institute
- St.Petersburg State University
- Issue: Vol 243, No 4 (2019)
- Pages: 595-600
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/243123
- DOI: https://doi.org/10.1007/s10958-019-04560-y
- ID: 243123
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Abstract
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).
About the authors
B. B. Lur’e
St.Petersburg Department of the Steklov Mathematical Institute
Author for correspondence.
Email: lurje@pdmi.ras.ru
Russian Federation, St.Petersburg
A. M. Poretsky
St.Petersburg State University
Email: lurje@pdmi.ras.ru
Russian Federation, St.Petersburg
