coloring natural numbers in 2 colors
Source: Portugal OPM 2016 p6
May 15, 2024
Coloringcombinatoricsnumber theory
Problem Statement
The natural numbers are colored green or blue so that:
The sum of a green and a blue is blue;
The product of a green and a blue is green.
How many ways are there to color the natural numbers with these rules, so that are blue and are green?