Difference between revisions of "2006 USAMO Problems/Problem 4"
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== Problem == | == Problem == | ||
| + | Find all positive integers <math>n</math> such that there are <math>k\ge 2</math> positive rational numbers <math>a_1,a_2,\ldots a_k</math> satisfying <math>a_1+a_2+...+a_k=a_1\cdot a_2\cdots a_k=n.</math> | ||
== Solution == | == Solution == | ||
== See Also == | == See Also == | ||
*[[2006 USAMO Problems]] | *[[2006 USAMO Problems]] | ||
Revision as of 12:04, 12 July 2006
Problem
Find all positive integers 
such that there are 
positive rational numbers 
satisfying 
