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ON THE DIOPHANTINE EQUATION $483^x + 485^y = z^2$

ON THE DIOPHANTINE EQUATION $483^x + 485^y = z^2$

In this paper, we show that the Diophantine equation 483 x +485 y = z 2 has a unique non-negative integer solution where x, y and z are non-negative integers.The solution (x, y, z) is (1, 0, 22).