Difference between revisions of "Mock AIME 4 2006-2007 Problems/Problem 3"

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*[[Mock AIME 4 2006-2007 Problems]]
 
*[[Mock AIME 4 2006-2007 Problems]]

Revision as of 10:46, 16 January 2007

Problem

Find the largest prime factor of the smallest positive integer $n$ such that $r_1, r_2, \ldots , r_{2006}$ are distinct integers such that the polynomial $(x-r_{1})(x-r_{2})\cdots (x-r_{2006})$ has exactly $n$ nonzero coefficients.

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.