BALKAN-SL 2013 N2

Determine all positive integers $x$ , $y$ and $z$ such that $x^5 + 4^y = 2013^z$ .

(Serbia)

Dataset text AoPS wiki problems. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.