This article shows three solutions for the diophantine equation in non-negative integers, highlighting the uniqueness of the results.
In this article, we show that the Diophantine equation 2^x+63^y=z^2 has exactly three solutions (x, y, z)=(0, 1, 8), (3, 0, 3), and (8, 2, 65) when x, y, and z are non-negative integers.
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Saengsura et al. (2025) studied this question.
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