On the exponential Diophantine equation $p\cdot 3^x+p^y=z^2$ with $p$ a prime number

A. L. P. Porto, M. Buosi, G. S. Ferreira

In this paper we find non-negative integer solutions for exponential Diophantine equations of the type $p\cdot 3^x+p^y=z^2,$ where $p$ is a prime number. We prove that such equat…