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

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Wariam Chuayjan
Theeradach Kaewong
Sutthiwat Thongnak

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 .  

On the Exponential Diophantine Equation 2^x-99^y=z^2 . (2024). International Journal of Latest Technology in Engineering Management & Applied Science, 13(6), 90-91. https://doi.org/10.51583/IJLTEMAS.2024.130612

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References

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Thongnak, S. Chuayjan, W. and Kaewong, T., (2022) On the Exponential Diophantine equation 5^x-2⋅3^y=z^2 , Annals of Pure and Applied Mathematics, 25(2) 109-112. DOI: https://doi.org/10.22457/apam.v25n2a07870

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On the Exponential Diophantine Equation 2^x-99^y=z^2 . (2024). International Journal of Latest Technology in Engineering Management & Applied Science, 13(6), 90-91. https://doi.org/10.51583/IJLTEMAS.2024.130612

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