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MathNet 2025 — Part 02 (100 complete bilingual questions) Question 87

Math Olympiad Vault · MathNet 2025 — Part 02 (100 complete bilingual questions)

Question 87

Find the least positive integer $n$ such that:

a. both $n$ and $n+1$ are divisible by the squares of two distinct prime numbers;

b. both $n$ and $n+3$ are divisible by the squares of two distinct prime numbers.