MathDB
special and common numbers

Source: May Olympiad 2021 L2 #2

June 8, 2021
number theory

Problem Statement

Let NN be a positive integer; a divisor of NN is called common if it's great than 11 and different of NN. A positive integer is called special if it has, at least, two common divisors and it is multiple of all possible differences between any two of their common divisors. Find all special integers.