MathDB

1

Part of 1985 IMO Shortlist

Problems(1)

Popular problem - A set with 1985 members

Source:

8/29/2010
Given a set MM of 19851985 positive integers, none of which has a prime divisor larger than 2626, prove that the set has four distinct elements whose geometric mean is an integer.
pigeonhole principlecombinatoricsIMO ShortlistIMOIMO 1985mean