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MathNet 2021 — Part 05 Question 49

Math Olympiad Vault · MathNet 2021 — Part 05

Question 49

Let $n$ be an integer and
$$
m=(n-1001)(n-2001)(n-2002)(n-3001)(n-3002)(n-3003) .
$$
Given that $m$ is positive, find the minimum number of digits of $m$.