MathDB
Subtract and Divide

Source: USAMO 1998

October 9, 2005
inductionmodular arithmeticalgebra proposedalgebra

Problem Statement

Prove that for each n≥2n\geq 2, there is a set SS of nn integers such that (a−b)2(a-b)^2 divides abab for every distinct a,b∈Sa,b\in S.
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