IMO 2013 Shortlist N2
Prove that for any pair of positive integers k and n there exist k positive integers m1,m2,...,mk such that 1 2k ´ 1 n “...
Category: Number Theory
Problem
Prove that for any pair of positive integers k and n there exist k positive integers
m1,m2,...,mk such that
1 2k ´ 1 n “ ˆ 1
m1
˙ˆ
1 m2 ˙ ¨¨¨ ˆ 1
mk
˙
.
(Japan)