Solution of the Diophantine equation 783x+85y=z2 ∗
DOI:
https://doi.org/10.48165/bpas.2023.42E.1.4Keywords:
Catalan’s Conjecture, Diophantine Equation, SolutionAbstract
In this paper we consider the Diophantine equation 783x + 85y = z2, where x, y, z are non-negative integers and determine the non-negative integer solutions of this equation. Our result shows that (x, y, z) = (1, 0, 28) is a unique non-negative integer solution of this equation.
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