2004 AIME I Problems/Problem 15: Difference between revisions
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== Solution == | == Solution == | ||
{{solution}} | |||
== See also == | == See also == | ||
* [[2004 AIME I Problems/Problem 14| Previous problem]] | |||
* [[2004 AIME I Problems]] | * [[2004 AIME I Problems]] | ||
Revision as of 01:46, 6 November 2006
Problem
For all positive integers
let
and define a sequence as follows:
and
for all positive integers
Let
be the smallest
such that
(For example,
and
) Let
be the number of positive integers
such that
Find the sum of the distinct prime factors of
Solution
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