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Mock AIME 4 2006-2007 Problems/Problem 14

Revision as of 11:49, 16 January 2007 by JBL (talk | contribs)

Problem

Let $x$ be the arithmetic mean of all positive integers $k<577$ such that

$k^4\equiv 144\pmod {577}$.

Find the greatest integer less than or equal to $x$.

Solution

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