On the Exponential Diophantine Equation 2^x+1245^y=z^2

Theeradach Kaewong, Wariam Chuayjan and Sutthiwat Thongnak
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Theeradach Kaewong: Department of Mathematics and Statistics, Faculty of Science and Digital Innovation, Thaksin University, Phatthalung 93210, Thailand.
Wariam Chuayjan: 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 5, 157-159

Abstract: Let x,yand z be non-negative integers. We solve the exponential Diophantine equation 2^x+1,245^y=z^2. The result indicates that the equation has a unique solution,(x,y,z)=(3,0,3).

Date: 2024
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