perplexus.info :: Just Math : 00 Separate

00 Separate (Posted on 2003-10-10)

Prove that the numbers that begin with 1 and end with 1, with any number of 2s in the middle, and all 1s and 2s separated by 00 are composite.

For example:
1002001
1002002001,
1002002002001,
1002002002002001

Submitted by Gamer

Rating: 3.5714 (7 votes)

Solution: (Hide)

All these numbers are 1001,1001001,1001001001... times 1001, so they must be composite.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Solution	K Sengupta	2007-11-29 04:47:54
solution	Jim	2003-10-17 14:45:12
re: Simple solution, with no words!	RoyCook	2003-10-13 13:12:52
re: Simple solution, with no words!	RoyCook	2003-10-13 13:11:46
simple	bharath	2003-10-11 14:21:00
Simple solution, with no words!	Federico Kereki	2003-10-11 10:44:15
re(3): Divisibility	SilverKnight	2003-10-10 17:18:01
re(2): Divisibility	Gamer	2003-10-10 17:02:44
re: Divisibility	SilverKnight	2003-10-10 16:33:58
re: A solution	Gamer	2003-10-10 15:57:28
A solution	Brian Smith	2003-10-10 15:22:26
Divisibility	Nick Hobson	2003-10-10 15:20:14
cheesy solution...	SilverKnight	2003-10-10 14:52:40

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