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arXiv · 1709.01814

On the Diophantine Equation $p^x + p^y = z^{2n}$

Dibyajyoti Deb
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Abstract

In an earlier paper, Tatong and Suvarnamani explores the Diophantine equation $p^x + p^y = z^2$ for a prime number $p$. In that paper they find some solutions to the equation for $p=2, 3$. In this paper, we look at a general version of this equation and solve it completely.

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Dibyajyoti Deb. 2017-09-06. On the Diophantine Equation $p^x + p^y = z^{2n}$. https://arxiv.org/abs/1709.01814

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