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Canada National Olympiad
1992 Canada National Olympiad
1
1
Part of
1992 Canada National Olympiad
Problems
(1)
Natural Number and Prime
Source: CMO 1992 #1
8/7/2008
Prove that the product of the first
n
n
n
natural numbers is divisible by the sum of the first
n
n
n
natural numbers if and only if n\plus{}1 is not an odd prime.