February 10, 2014Open Access

More on the Diophantine equation 3ˣ + 85ʸ = z²

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Abstract

In this paper, we show that (1, 0, 2) is a unique non-negative integer solution (x, y, z) for the Diophantine equation 3 x + 85 y = z 2 where x, y and z are non-negative integers. This result implies that (1, 0, 0, 2) is a solution (x, u, v, z) for the Diophantine equation 3 x + 5 u 17 v = z 2 .

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Cite This Study

B. Sroysang (Mon,) studied this question.

synapsesocial.com/papers/6a0ec55553f874f2b222bfdb https://doi.org/https://doi.org/10.12732/ijpam.v91i1.13

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