MathDB
Argentina MO 2021 National Level 2 P1

Source:

April 23, 2022
contestscoprime numbersnumber theory

Problem Statement

You have two blackboards AA and BB. You have to write on them some of the integers greater than or equal to 22 and less than or equal to 2020 in such a way that each number on blackboard AA is co-prime with each number on blackboard B.B. Determine the maximum possible value of multiplying the number of numbers written in AA by the number of numbers written in BB.