A problem on irreducible fractions
Source: Tournament of towns Spring 2018 A-level P3
March 10, 2020
combinatoricsnumber theory
Problem Statement
Do there exist 2018 positive irreducible fractions, each with a different denominator, so that the denominator of the difference of any two (after reducing the fraction) is less than the denominator of any of the initial 2018 fractions? (6 points)Maxim Didin