Difference between revisions of "Mock AIME 5 2005-2006 Problems/Problem 1"

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Revision as of 19:40, 13 March 2007

Problem

Suppose $n$ is a positive integer. Let $f(n)$ be the sum of the distinct positive prime divisors of $n$ less than $50$ (e.g. $f(12) = 2+3 = 5$ and $f(101) = 0$). Evaluate the remainder when $f(1)+f(2)+\cdots+f(99)$ is divided by $1000$.

Solution

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See also

Mock AIME 5 2005-2006 (Problems, Source)
Preceded by
First Question
Followed by
Problem 2
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