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MathNet 2024-part-01 — 168 problems (EN–VI) Question 42

Math Olympiad Vault · MathNet 2024-part-01 — 168 problems (EN–VI)

Question 42

Find the smallest number $n$ with the following property: if among the numbers from $1$ to $1000$ we choose $n$ numbers such that no two of them are divisible by the square of the same prime number, then at least one of these numbers is necessarily the square of a prime number.