On the Diophantine equation x^2+2^a.3^b.11^c=y^n
Number Theory
2012-01-04 v1
Abstract
In this note, we find all the solutions of the Diophantine equation x^2 +2^a.3^b.11^c=y^n in nonnegative integers a, b, c, x, y, n>= 3 with x and y coprime.
Cite
@article{arxiv.1201.0730,
title = {On the Diophantine equation x^2+2^a.3^b.11^c=y^n},
author = {Ismail Naci Cangul and Musa Demirci and Ilker Inam and Florian Luca and Gokhan Soydan},
journal= {arXiv preprint arXiv:1201.0730},
year = {2012}
}
Comments
to appear in Mathematica Slovaca; MSC Key words and phrases: Exponential Diophantine equations, Primitive divisors of Lucas sequences