On the Diophantine Equation X2+19M=YN

Details On the Diophantine Equation X2+19M=YN On the Diophantine Equation X2+19M=YN

2012-02-01

arxiv.org/abs/1202.0315v1

Mathematics

Number Theory

9 pages

Scientific paper

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.

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