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Hansuk Tansee, Chaiwat Namnak,
On the exponential Diophantine equation 37^x-5^y = z^2.
Int. J. Math. Comput. Sci., 20, no. 3, (2025), 755-758

DOI:

https://doi.org/10.69793/ijmcs/03.2025/chaiwat

Keywords and phrases:

Solutions, Exponential Diophantine equation.

Abstract:

In this paper, we show that (0, 0, 0) and (1, 0, 6) are the only two non-negative integer solutions of the exponential Diophantine equation 37^x-5^y = z^2.