System of two diophantine equations
Source: Balkan MO ShortList 2007 N1
April 6, 2020
Problem Statement
Solve the given system in prime numbers
\begin{align*} x^2+yu = (x+u)^v \end{align*}
\begin{align*} x^2+yz=u^4 \end{align*}
Source: Balkan MO ShortList 2007 N1