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MORE ON THE DIOPHANTINE EQUATION $2^x + 19^y = z^2$

MORE ON THE DIOPHANTINE EQUATION $2^x + 19^y = z^2$

In this paper, we prove that the Diophantine equation 2 x +19 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 (3, 0, 3).