MathDB

18

Part of 2003 Baltic Way

Problems(1)

All integers are coloured [Baltic way 2003]

Source:

11/7/2010
Every integer is to be coloured blue, green, red, or yellow. Can this be done in such a way that if a,b,c,da, b, c, d are not all 00 and have the same colour, then 3a−2b≠2c−3d3a-2b \neq 2c-3d?
[color=#0000FF][Mod edit: Question fixed]
number theory proposednumber theory