IMO 2018 Shortlist N1

Determine all pairs pn,kq of distin t positive integers su h that there exists a positive integer s for whi h the number...

imomathematicsolympiadshortlistnumber-theory

IMO 2018 Shortlist N1

Category: Number Theory

Problem

Determine all pairs pn,kq of distin t positive integers su h that there exists a positive integer s for whi h the numbers of divisors of sn and of sk are equal. (Ukraine)