IMO 2024 Shortlist N2

Determine all finite, nonempty sets S of positive integers such that for every a, b P S there exists c P S with a | b 2c...

IMO 2024 Shortlist N2

Category: Number Theory

Problem

Determine all finite, nonempty sets S of positive integers such that for every a, b P S there exists c P S with a | b ` 2c. (Netherlands)