What's the largest number of integers from $1$ to $2022$ that you can choose so that no sum of any two different chosen integers is divisible by any difference of two different chosen integers? (Proposed by Oleksii Masalitin)
Source: Kyiv City MO 2022 Round 1, Problem 8.4
Tags: number theory
What's the largest number of integers from $1$ to $2022$ that you can choose so that no sum of any two different chosen integers is divisible by any difference of two different chosen integers? (Proposed by Oleksii Masalitin)