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

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

2012-02-10

arxiv.org/abs/1202.2267v1

Mathematics

Number Theory

4 pages

Scientific paper

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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