On the Exponential Diophantine Equation (Mpq)x+(Mpq+1)y=z2

Authors

  • Azizul Hoque Gauhati University

Abstract

In this paper, we consider the number Mpq=pq−1, where p>0 and q>1 are integers, and the Exponential Diophantine equation (Mpq)x+(Mpq+1)y=z2, where x, y and z are positive integers. We find the solutions to the title equation expect the case only when both p and y are odd integers.

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Published

2016-04-30

Issue

Vol. 9 No. 2: (April 2016)

Section

Number Theory

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How to Cite

On the Exponential Diophantine Equation (Mpq)x+(Mpq+1)y=z2. (2016). European Journal of Pure and Applied Mathematics, 9(2), 240-243. https://www.ejpam.com/index.php/ejpam/article/view/2333