On some Diophantine equations. III.

Savin, Diana

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On the diophantine equation w+x+y = z, with wxyz = 2 3 5.

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In this paper we complete the solution to the equation w+x+y = z, where w, x, y, and z are positive integers and wxyz has the form 2 3 5, with r, s, and t non negative integers. Here we consider the case 1 < w ≤ x ≤ y, the remaining case having been dealt with in our paper: On the Diophantine equation 1+ X + Y = Z, This work extends earlier work of the authors in the field of exponential Diophantine equations.