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MathNet 2010 — Part 05 Question 125

Math Olympiad Vault · MathNet 2010 — Part 05

Question 125

Given a positive integer $n$. Prove that there exist $n$ Consultative positive integers such that their product is divisible by each prime number $2n+1$, but is not divisible by any other prime number. given natural $n \gt 1$. Prove that there are $n$ consecutive natural numbers, that their product is divided into all prime numbers that do not exceed $2n+1$, and is not divisible by any other prime number.