[seqfan] Simple Puzzler

[David Wilson]

Divide your paper into 3 sections. In one section write the number 2, in a different section write the number 3. Thereafter, if two numbers are in distinct sections, write their product in the third section. For example, 6 = 2*3 goes into the initially empty section, then 12 = 2*6 goes into the same section with 3, etc.

1. Does the same number ever end up in two distinct sections?

2. Obviously all numbers will be of the form 2^k * 3^j with j,k >= 0. Which of these numbers never appear?


-----
No virus found in this message.
Checked by AVG - www.avg.com
Version: 10.0.1204 / Virus Database: 1435/3426 - Release Date: 02/06/11