Difference between revisions of "Mock AIME 2 2006-2007 Problems/Problem 3"

Revision as of 16:21, 24 July 2006

Problem

Let $\displaystyle S$ be the sum of all positive integers $\displaystyle n$ such that $\displaystyle n^2+12n-2007$ is a perfect square. Find the remainder when $\displaystyle S$ is divided by $\displaystyle 1000.$

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Difference between revisions of "Mock AIME 2 2006-2007 Problems/Problem 3"

Revision as of 16:21, 24 July 2006

Problem