existence of exactly n grid points (lattice) in a circle
Source: Norwegian Mathematical Olympiad 2009 - Abel Competition p3b
September 5, 2019
combinatoricscombinatorial geometrylattice pointscirclegeometrypoints
Problem Statement
Show for any positive integer that there exists a circle in the plane such that there are exactly grid points within the circle. (A grid point is a point having integer coordinates.)