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arXiv · 1202.2267

On The Solutions of The Equation (4^n)^x+p^y=z^2

Bilge Peker·Selin Inag Cenberci
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Abstract

In this paper, we gave solutions of the Diophantine equations 16^{x}+p^{y}=z^{2}, 64^{x}+p^{y}=z^{2} where p is an odd prime, n is a positive integer and x,y,z are non-negative integers. Finally we gave a generalization of the Diophantine equation (4^{n})^{x}+p^{y}=z^{2}.

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Bilge Peker, Selin Inag Cenberci. 2012-02-10. On The Solutions of The Equation (4^n)^x+p^y=z^2. https://arxiv.org/abs/1202.2267

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