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Mock AIME 5 2005-2006 Problems/Problem 10

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Problem

Find the smallest positive integer $n$ such that ${2n \choose n}$ is divisible by all the primes between $10$ and $30$.

Solution

See also

Mock AIME 5 2005-2006 (Problems, Source)
Preceded by
Problem 9 		Followed by
Problem 11
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15
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