MathDB

M2751

Part of Kvant 2023

Problems(1)

Coloring of the positive integers

Source: All-Russian MO 2023 Final stage 9.3

4/23/2023
Every positive integer greater than 10001000 is colored in red or blue, such that the product of any two distinct red numbers is blue. Is it possible to happen that no two blue numbers have difference 11?
algebra