On $p{x}^2+q^{2n}=y^p$ and related Diophantine equations

A. Laradji, M. Mignotte, N. Tzanakis

The title equation, where $p>3$ is a prime number $\not\equiv 7(\mathrm{mod}8)$, $q$ is an odd prime number and $x,y,n$ are positive integers with $x,y$ relatively prime, is studied. When…