MathDB
Junior Balkan Mathematical Olympiad 2024- P3

Source: JBMO 2024

June 27, 2024
number theoryDiophantine equationexponentJBMO

Problem Statement

Find all triples of positive integers (x,y,z)(x, y, z) that satisfy the equation
2020x+2y=2024z.2020^x + 2^y = 2024^z.
Proposed by Ognjen Tešić, Serbia