24 pos. integers wanted, a+b divides ab 2017 May Olympiad L1 p5
Source:
August 25, 2021
number theorydividesdivisible
Problem Statement
We will say that two positive integers and form a suitable pair if divides (its sum divides its multiplication). Find positive integers that can be distribute into suitable pairs, and so that each integer number appears in only one pair and the largest of the numbers is as small as possible.