On The Solutions of The Equation (4^n)^x+p^y=z^2
Number Theory
2012-02-13 v1
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}.
Cite
@article{arxiv.1202.2267,
title = {On The Solutions of The Equation (4^n)^x+p^y=z^2},
author = {Bilge Peker and Selin Inag Cenberci},
journal= {arXiv preprint arXiv:1202.2267},
year = {2012}
}
Comments
4 pages