2005 USAMO Problems/Problem 1

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Determine all composite positive integers $n$ for which it is possible to arrange all divisors of $n$ that are greater than 1 in a circle so that no two adjacent divisors are relatively prime.


Alternate solutions are always welcome. If you have a different, elegant solution to this problem, please add it to this page.


2005 USAMO (ProblemsResources)
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First question
Followed by
Problem 2
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