MathDB
Number Theory - Sets and squares

Source: Central American Olympiad 2002, problem 5

December 30, 2009

Problem Statement

Find a set of infinite positive integers S S such that for every n≥1 n\ge 1 and whichever n n distinct elements x1,x2,⋯ ,xn x_1,x_2,\cdots, x_n of S, the number x_1\plus{}x_2\plus{}\cdots \plus{}x_n is not a perfect square.
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