On the Exponential Diophantine Equation 15^x-17^y=z^2

In this work, the exponential Diophantine equation 15^x-17^y=z², where x,y and z are non-negative integers, was studied and presented with the theorems governing its expressions. The result indicated that (x,y,z)= (0,0,0) was a unique solution to the equation.

divisibility, exponential Diophantine equation, modular arithmetic, prime number

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