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

Wariam Chuayjan, Theeradach Kaewong and Sutthiwat Thongnak
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Wariam Chuayjan: Department of Mathematics and Statistics, Faculty of Science and Digital Innovation, Thaksin University, Phatthalung 93210, Thailand.
Theeradach Kaewong: Department of Mathematics and Statistics, Faculty of Science and Digital Innovation, Thaksin University, Phatthalung 93210, Thailand.
Sutthiwat Thongnak: Department of Mathematics and Statistics, Faculty of Science and Digital Innovation, Thaksin University, Phatthalung 93210, Thailand.

International Journal of Latest Technology in Engineering, Management & Applied Science, 2024, vol. 13, issue 6, 90-91

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.

Date: 2024
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