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MathNet 2020 — Math Olympiad Vault — Part 06 Question 68

Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 06

Question 68

Find the largest positive integer $n$ such that it has exactly 4 positive integer divisors (including $1$ and $n$), the sum $S$ of which satisfies the condition $40 \le S \le 42$.