IMO 2017 Shortlist N6
Find the smallest positive integer n, or show that no su h n exists, with the following property: there are in nitely ma...
Category: Number Theory
Problem
Find the smallest positive integer n, or show that no su h n exists, with the following
property: there are in nitely many distin t n-tuples of positive rational numbers pa1,a2,...,anq
su h that both
a1 a2 ¨¨¨ an and a1
a2
¨¨¨
an
are integers.
(Singapore)