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MathNet 2022-part-05 — 197 problems (EN–VI) Question 173

Math Olympiad Vault · MathNet 2022-part-05 — 197 problems (EN–VI)

Question 173

We chose several numbers among $1, 2, \ldots, 2022$. It turned out that sum of any two of the chosen numbers isn't divisible by the difference between any two of the chosen numbers. What largest possible number of numbers could be selected?

(Oleksii Masalitin)