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Multiplication Table (Posted on 2006-07-07) Difficulty: 3 of 5
Imagine a multiplication table (like the one below, except it continues on forever):

   1   2   3   4     
 +---+---+---+---+---
1| 1 | 2 | 3 | 4 |...
 +---+---+---+---+---
2| 2 | 4 | 6 | 8 |...
 +---+---+---+---+---
3| 3 | 6 | 9 | 12|...
 +---+---+---+---+---
4| 4 | 8 | 12| 16|...
 +---+---+---+---+---
 |...|...|...|...|...

Find three of the same number in a straight line somewhere within the table. If this is not possible, show why not.

No Solution Yet Submitted by tomarken    
Rating: 3.0000 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Getting less rigorous (spoiler) | Comment 3 of 12 |
(In reply to Getting less rigorous (spoiler) by Steve Herman)

I think you could do that with 6's, too: the two shown in tomarken's drawing, plus the one that would show up under either 1x6 or 6x1.
  Posted by Jyqm on 2006-07-07 11:35:54

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