IMO 2010 Shortlist N1

Find the least positive integer n for which there exists a set ts1,s2,...,snu consisting of n distinct positive integers...

imomathematicsolympiadshortlistnumber-theory

IMO 2010 Shortlist N1

Category: Number Theory

Problem

Find the least positive integer n for which there exists a set ts1,s2,...,snu consisting of n distinct positive integers such that  1  1 s1  1  1 s2 ...  1  1 sn  51 .