%0 Journal Article
%T On the Diophantine equation $pq=x^2+ny^2$
%A Ja Kyung Koo
%A Dong Hwa Shin
%J Mathematics
%D 2014
%I arXiv
%X Let $n$ be a positive integer. We discuss pairs of distinct odd primes $p$ and $q$ not dividing $n$ for which the Diophantine equations $pq=x^2+ny^2$ have integer solutions in $x$ and $y$. As its examples we classify all such pairs of $p$ and $q$ when $n=5$ and $14$.
%U http://arxiv.org/abs/1404.1060v2