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Lattice points, no three collinear

Source: Kürschák 1997, problem 1

July 15, 2014
geometrylinear algebramatrixnumber theory unsolvednumber theory

Problem Statement

Let p>2p>2 be a prime number and let L={0,1,…,p−1}2L=\{0,1,\dots,p-1\}^2. Prove that we can find pp points in LL with no three of them collinear.
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