ON THE DIOPHANTINE EQUATION $3^x + 45^y = z^2$

B. Sroysang
2014 International Journal of Pure and Applied Mathematics  
In this paper, we show that the Diophantine equation 3 x +45 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, 2).
doi:10.12732/ijpam.v91i2.14 fatcat:l52byil57zharnao6rz6d2n6aa