Apr 28, 2015
#36 Tricolor Integers
Let's paint {1, 2, 3, ..., N} in red, blue and white, and so that each has more than a quarter of the set in its colour.
Can they be painted such that all x + y = z in the set has at least two of the same colours?
seen from Algeria
seen from United States
seen from Malaysia
seen from India
seen from Italy
seen from Türkiye
seen from United States
seen from Finland
seen from United States
seen from Türkiye
seen from France
seen from China
seen from Yemen
seen from United States
seen from United States
seen from Italy
seen from United States
seen from Türkiye
seen from United States
seen from United States
#36 Tricolor Integers
Let's paint {1, 2, 3, ..., N} in red, blue and white, and so that each has more than a quarter of the set in its colour.
Can they be painted such that all x + y = z in the set has at least two of the same colours?