关于丢番图方程15x - 13y = z2

Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI:10.22457/apam.v27n1a05896

S. Thongnak, W. Chuayjan, T. Kaewong

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摘要

本文证明了丢芬图方程15x - 13y = z2具有非负整数解。结果表明，解(x, y, z) =(0,0,0)。关键词:丢番汀方程;因式分解方法;模算法

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On the Diophantine Equation 15x – 13y = z2

In this article, we prove that the Diophantine equation 15x – 13y = z2 has nonnegative integer solution. The result reveals that the solution (x, y, z) = (0, 0, 0). Keywords: Diophantine equation; factoring method; modular arithmetic method

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Annals of Pure and Applied Mathematics

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