3

Part of 2024 Junior Balkan MO

Problems(1)

Junior Balkan Mathematical Olympiad 2024- P3

Source: JBMO 2024

Find all triples of positive integers

(x, y, z)

that satisfy the equation

2020^x + 2^y = 2024^z.

Proposed by Ognjen Tešić, Serbia

number theoryDiophantine equationexponentJBMO