coloring positive integers into 3 colors
Source: XVΙ May Olympiad (Olimpiada de Mayo) 2010 L1 P3
September 22, 2022
Coloringcombinatorics
Problem Statement
Is it possible to color positive integers with three colors so that whenever two numbers with different colors are added, the result of their addition is the third color? (All three colors must be used.) If the answer is yes, indicate a possible coloration; if not, explain why.