integers in an inifite chessboard so that 101 divides any sum of 10 numbers
Source: Tuymaada Junior 2001 p2
April 30, 2019
infinite chessboardnumber theorySumdivisible
Problem Statement
Is it possible to arrange integers in the cells of the infinite chechered sheet so that every integer appears at least in one cell, and the sum of any numbers in a row vertically or horizontal, would be divisible by ?