# Paint numbers from 1 to 8 with two colours

Can you paint every number from 1 to 8 with two colours, such that there are no distinct numbers $$a, b, c$$ of the same colour with $$a+b=c$$? For example, you cannot have 2, 3 and 5 of the same colour since $$2+3=5$$.

Good luck!

Red - $$\{1,2,4,8\}$$
Blue - $$\{3,5,6,7\}$$