The non-negative integer solutions of Diophantine equation 15^x + 51^y = z^2
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Abstract
In this paper, we study non-negative integer solutions of Diophantine equation 15x + 51y =z2 where x, y and z are non-negative integers. We show that the Diophantine equation has only one solution (x, y, z) = (1, 0, 4) in non-negative integers.
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