MathDB
JBMO TST Bosnia and Herzegovina P4

Source:

August 10, 2020
algebra

Problem Statement

Determine the largest positive integer nn such that the following statement holds: If a1,a2,a3,a4,a5,a6a_1,a_2,a_3,a_4,a_5,a_6 are six distinct positive integers less than or equal to nn, then there exist 33 distinct positive integers ,from these six, say a,b,ca,b,c s.t. ab>c,bc>a,ca>bab>c,bc>a,ca>b.
Back to ProblemsView on AoPS