Solution of the Diophantine Equation x1x2x3·s xm-1=zn

Abstract

This work determine the entire family of positive integer solutions of the diophantine equation. The solution is described in terms of (m-1)(m+n-2)2 or (m-1)(m+n-1)2 positive parameters depending on n even or odd. We find the solution of a diophantine system of equations by using the solution of the diophantine equation. We generalized all the results of the paper [5].

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