MathDB

5

Part of 1995 Baltic Way

Problems(1)

Among any 2c consecutive positive integers

Source: Baltic Way 1995

10/8/2011
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.
number theory proposednumber theory