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2002 IMO Shortlist Problems/N1

Revision as of 16:05, 24 December 2006 by Boy Soprano II (talk | contribs) (category)

Problem

What is the smallest positive integer $t$ such that there exist integers $x_1,x_2,\ldots,x_t$ with

$x^3_1+x^3_2+\,\ldots\,+x^3_t=2002^{2002}$?

Solution

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