MathDB

3

Part of 1997 Tuymaada Olympiad

Problems(1)

coloring numbers in 6 colors, sum of any 5 of different colors to be in 6th one

Source: Tuymaada 1997 p3

4/28/2019
Is it possible to paint all natural numbers in 66 colors, for each one color to be used and the sum of any five numbers of different color to be painted in the sixth color?
combinatoricsColoringSum