An open problem on Jeśmanowicz′ conjecture concerning primitive Pythagorean triples

Let m>31 be an even integer with gcd(m,31)=1. In this paper, using some elementary methods, we prove that the equation (m2-312)x+(62m)y=(m2+312)z has only the positive integer solution (x,y,z)=(2,2,2). This result resolves an open problem raised by T. Miyazaki (Acta Arith. 186 (2018), 1-36) about...

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Permalink: http://skupni.nsk.hr/Record/nsk.NSK01001075554/Description
Matična publikacija: Glasnik matematički (Online)
54 (2019), 2 ; str. 271-277
Glavni autori: Yang, Hai (Author), Fu, Ruiqin
Vrsta građe: e-članak
Jezik: eng
Predmet:
Online pristup: https://doi.org/10.3336/gm.54.2.02
Glasnik matematički (Online)
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