On the Diophantine equation x^2+7^{alpha}.11^{beta}=y^n
Number Theory
2012-01-05 v1
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.
Cite
@article{arxiv.1201.0778,
title = {On the Diophantine equation x^2+7^{alpha}.11^{beta}=y^n},
author = {Gokhan Soydan},
journal= {arXiv preprint arXiv:1201.0778},
year = {2012}
}
Comments
to appear in Miskolc Mathematical Notes; MSC key words and phrases: Exponential equations, Primitive divisors of Lucas sequences