On the Exponential Diophantine Equation 2x+15y=z2

Sutthiwat Thongnak, Wariam Chuayjan, Theeradach Kaewong · Annals of Pure and Applied Mathematics · 2022

In this article, we solve the exponential Diophantine equation 2 2 15 x y + = z where x y, and z are non-negative integers. The basic theorems in Number theory are given and applied to find all solutions. The result reveals that there are only three solutions to the equation.

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