On the Exponential Diophantine Equation 2^x+1245^y=z^2

Let x,yand z be non-negative integers. We solve the exponential Diophantine equation 2^x+1,245^y=z^2.  The result indicates that the equation has a unique solution,(x,y,z)=(3,0,3).

divisibility, exponential Diophantine equation, modular arithmetic, Divisibility, Catalan’s conjecture, quadratic residue

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