MathDB
Sum of Squares Equals 2002

Source:

April 2, 2013
modular arithmeticsearchnumber theoryprime factorization

Problem Statement

What is the maximum value of nn for which there is a set of distinct positive integers k1,k2,…,knk_1,k_2,\ldots,k_n for which k12+k22+…+kn2=2002?k_1^2+k_2^2+\ldots+k_n^2=2002?
<spanclass=′latex−bold′>(A)</span>14<spanclass=′latex−bold′>(B)</span>15<spanclass=′latex−bold′>(C)</span>16<spanclass=′latex−bold′>(D)</span>17<spanclass=′latex−bold′>(E)</span>18<span class='latex-bold'>(A) </span>14\qquad<span class='latex-bold'>(B) </span>15\qquad<span class='latex-bold'>(C) </span>16\qquad<span class='latex-bold'>(D) </span>17\qquad<span class='latex-bold'>(E) </span>18
Back to ProblemsView on AoPS