English

On the Diophantine Equation X2+19M=YN

Number Theory 2012-02-03 v1

Abstract

In this article, we consider the equation x^2+19^{m}=y^n, n>2, m>0. We find the solutions of the title equation for not only 2 \mid m but also 2\notdividesm.

Keywords

Cite

@article{arxiv.1202.0315,
  title  = {On the Diophantine Equation X2+19M=YN},
  author = {Bilge Peker and Selin and Cenberci},
  journal= {arXiv preprint arXiv:1202.0315},
  year   = {2012}
}

Comments

9 pages

R2 v1 2026-06-21T20:13:32.025Z