MathDB
IMO ShortList 2002, number theory problem 1

Source: IMO ShortList 2002, number theory problem 1

September 28, 2004
number theoryIMO Shortlistmodular arithmeticsum of cubesHi

Problem Statement

What is the smallest positive integer tt such that there exist integers x1,x2,…,xtx_1,x_2,\ldots,x_t with x13+x23+ … +xt3=20022002 ?x^3_1+x^3_2+\,\ldots\,+x^3_t=2002^{2002}\,?
Back to ProblemsView on AoPS