ON THE DIOPHANTINE EQUATION 3^x + 5^y + 7^z = w^2

Year 2014, Volume: 2 Issue: 2, 64 - 69, 01.12.2014

JERICO B. Bacanı Julius Fergyt. Rabago

Abstract

We exhaust all solutions of the Diophantine equationx y+ 7z= win non-negative integers using elementary methods

Keywords

Exponential Diophantine equation, integer solutions

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• †Department of Mathematics and Computer Science, College of Science, University of the Philippines Baguio, Governor Pack Road, Baguio City 2600, PHILIPPINES ‡
• Institute of Mathematics, College of Science, University of the Philippines Dili- man, Quezon City 1101, PHILIPPINES E-mail address: [e-mail], [e-mail], [e-mail]