Download the whole paper in PDF format

Nongluk Viriyapong, Jenjira Puiwong,
On the Diophantine equation 675^x+896^y=z^2.
Int. J. Math. Comput. Sci., 20, no. 1, (2025), 415-417

DOI:

https://doi.org/10.69793/ijmcs/01.2025/nongluk

Keywords and phrases:

Diophantine equation, congruence.

Abstract:

In this article, we establish that there is a unique non-negative solution to the Diophantine equation 675^x+896^y=z^2. The solution is (x, y, z)=(1, 0, 26).