MathDB
Printer doesn't print 13824 - Iran NMO 2007 - Problem6

Source:

September 22, 2010
inductioncombinatorics proposedcombinatorics

Problem Statement

Farhad has made a machine. When the machine starts, it prints some special numbers. The property of this machine is that for every positive integer nn, it prints exactly one of the numbers n,2n,3nn,2n,3n. We know that the machine prints 22. Prove that it doesn't print 1382413824.
Back to ProblemsView on AoPS