paper

On the Diophantine equation x^2+7^{alpha}.11^{beta}=y^n

arXiv:1201.0778

Abstract

In this paper, we give all the solutions of the Diophantine equation x^2+7^{alpha}.11^{beta}=y^n, in nonnegative integers x, y, n>=3 with x and y coprime, except for the case when alpha.x is odd and beta is even.

arXiv commentto appear in Miskolc Mathematical Notes; MSC key words and phrases: Exponential equations, Primitive divisors of Lucas sequences