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Chokchai Viriyapong, Nongluk Viriyapong,

On the Diophantine equation 143^x+783^y=z^2.

Int. J. Math. Comput. Sci., 21, no. 1, (2026), 21-23.

DOI:

https://doi.org/10.69793/ijmcs/01.2026/nongluk

Keywords and phrases:

Diophantine equation, congruence.

Abstract:

In this article, we prove that (1,0, 12) and (0,1,28) are the only non-negative integer solutions (x, y, z) to the Diophantine equation 143^x+783^y=z^2.