IMO 2023 Shortlist N1

Determine all positive, composite integers n that satisfy the following property: if the positive divisors of n are 1 “ ...

IMO 2023 Shortlist N1

Category: Number Theory

Problem

Determine all positive, composite integers n that satisfy the following property: if the positive divisors of n are 1 “ d1 ă d2 ă ¨¨¨ ă dk “ n, then di divides di1 di`2 for every 1 ď i ď k ´ 2. (Colombia)