Difference between revisions of "2005 USAMO Problems/Problem 1"
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== Problem == | == Problem == | ||
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Determine all composite positive integers <math>n</math> for which it is possible to arrange all divisors of <math>n</math> that are greater than 1 in a circle so that no two adjacent divisors are relatively prime. | Determine all composite positive integers <math>n</math> for which it is possible to arrange all divisors of <math>n</math> that are greater than 1 in a circle so that no two adjacent divisors are relatively prime. | ||
== Solution == | == Solution == | ||
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− | + | == See also == | |
− | + | {{USAMO newbox|year=2005|before=First Question|num-a=2}} | |
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− | {{USAMO newbox|year=2005|before=First | ||
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[[Category:Olympiad Number Theory Problems]] | [[Category:Olympiad Number Theory Problems]] |
Revision as of 13:04, 3 May 2008
Problem
Determine all composite positive integers for which it is possible to arrange all divisors of that are greater than 1 in a circle so that no two adjacent divisors are relatively prime.
Solution
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See also
2005 USAMO (Problems • Resources) | ||
Preceded by First Question |
Followed by Problem 2 | |
1 • 2 • 3 • 4 • 5 • 6 | ||
All USAMO Problems and Solutions |