MathDB

N1

Part of 2007 Balkan MO Shortlist

Problems(1)

System of two diophantine equations

Source: Balkan MO ShortList 2007 N1

4/6/2020
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*}