MathDB
Among any 2c consecutive positive integers

Source: Baltic Way 1995

October 8, 2011
number theory proposednumber theory

Problem Statement

Let a<b<ca<b<c be three positive integers. Prove that among any 2c2c consecutive positive integers there exist three different numbers x,y,zx,y,z such that abcabc divides xyzxyz.
Back to ProblemsView on AoPS