MathDB

1

Part of 1997 Kurschak Competition

Problems(1)

Lattice points, no three collinear

Source: Kürschák 1997, problem 1

7/15/2014
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.
geometrylinear algebramatrixnumber theory unsolvednumber theory