Coloration of Integers
Source: Centroamerican and Caribbean Math Olympiad 2023 P1
July 25, 2023
combinatoricsOMCCColoring
Problem Statement
A coloring of the set of integers greater than or equal to , must be done according to the following rule: Each number is colored blue or red, so that the sum of any two numbers (not necessarily different) of the same color is blue. Determine all the possible colorings of the set of integers greater than or equal to that follow this rule.