MathDB
Sums not divisible by differences

Source: Kyiv City MO 2022 Round 1, Problem 8.4

January 23, 2022
number theory

Problem Statement

What's the largest number of integers from 11 to 20222022 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)