On the Exponential Diophantine Equation 15^x-17^y=z^2

Author:

Wariam Chuayjan ,Theeradach Kaewong ,Sutthiwat Thongnak

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.

Publisher

RSIS International

Reference11 articles.

1. Buosi, M., Lemos, A., Porto, A. L. P. and Santiago, D. F. G., (2020) On the exponential Diophantine equation p^x-2^y=z^2 with p=k^2+2 , a prime number, Southeast-Asian Journal of Sciences, 8(2) 103-109.

2. Elshahed, A. and Kamarulhaili, H, (2020) On the exponential Diophantine equation (4^n )^x-p^y=z^2 , WSEAS TRANSACTION on MATHEMATICS, 19, 349-352.

3. Rabago, J. F. T., (2018) On the Diophantine equation 4^x-p^y=3z^2 where p is a Prime, Thai Journal of Mathematics, 16 (2018) 643-650.

4. Tadee, S., (2023) On the Diophantine equation 3^x-p^y=z^2where p is Prime, Journal of Science and Technology Thonburi University, 7(1), 1-6.

5. Tadee, S., (2023) A Short Note On two Diophantine equations 9^x-3^y=z^2and 13^x-7^y=z^2, Journal of Mathematics and Informatics, 24, 23-25.

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