Bilge Peker, Selin Inag Cenberci
Published 2012-02-10Version 1
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}.
Complete solution of the Diophantine Equation $x^{2}+5^{a}\cdot 11^{b}=y^{n}$
On the Diophantine Equation $x^{2}+5^{a}\cdot 11^{b}=y^{n} $
The Diophantine Equation x^{2}+11^{m}=y^{n}
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