MathDB

2

Part of 2013 Balkan MO

Problems(1)

An exponential Diophantine

Source: Balkan MO 2013, Problem 2

6/30/2013
Determine all positive integers xx, yy and zz such that x5+4y=2013zx^5 + 4^y = 2013^z.
(Serbia)
number theoryDiophantine equationBalkan Mathematics Olympiad