On the Exponential Diophantine Equation 2^x-99^y=z^2

Abstract: In this work, we determine all non-negative integers solution  to the exponential Diophantine equation .  The mathematical process bases on several theorems in Number theory, including the modular arithmetic, Divisibility and the Division Algorithm.  The solution set to the equation is .  

Mathematics & Statistics, Subject Classification, 11D61, 11D72, 11D45

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