MathDB
arranging all positive integers in an infinite chessboard

Source: St. Petersburg 2019 10.6

May 1, 2019
combinatorial geometrycombinatoricspositive integersChessboardinfinite chessboard

Problem Statement

Is it possible to arrange everything in all cells of an infinite checkered plane all natural numbers (once) so that for each nn in each square n×nn \times n the sum of the numbers is a multiple of nn?