IMO Shortlist 2002 problem N1
Dodao/la:
arhiva2. travnja 2012. What is the smallest positive integer
![t](/media/m/7/f/6/7f630d3904cfcd77d22bd7938423df6c.png)
such that there exist integers
![x_1,x_2,\ldots,x_t](/media/m/4/f/2/4f23de999d62bffa88402ad085141f6a.png)
with
%V0
What is the smallest positive integer $t$ such that there exist integers $x_1,x_2,\ldots,x_t$ with
$$x^3_1+x^3_2+\,\ldots\,+x^3_t=2002^{2002}\,?$$
Izvor: Međunarodna matematička olimpijada, shortlist 2002