On the Exponential Diophantine Equation 15^x-17^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 5, 215-217

Abstract: In this work, the exponential Diophantine equation 15x-17y=z2, where x,y and z are non-negative integers, was studied and presented with the theorems governing its expressions. The result indicated that (x,y,z)= (0,0,0) was a unique solution to the equation.

Date: 2024
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