MMN-424

On the Diophantine equation $x^2 + 7^\alpha \cdot 11^\beta = y^n$

Abstract

In this paper, we give all the solutions of the Diophantine equation x2 + 7  11 = yn; in nonnegative integers ; ; x; y; n  3 with x and y coprime, except for the case when :x is odd and is even.


Vol. 13 (2012), No. 2, pp. 515-527
DOI: https://doi.org/10.18514/MMN.2012.424


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