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Multiplying gets a square? (Posted on 2004-06-26) Difficulty: 3 of 5
Is it possible to get a perfect square if you multiply three consecutive natural numbers?

See The Solution Submitted by Federico Kereki    
Rating: 3.0000 (5 votes)

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Some Thoughts re: No | Comment 12 of 25 |
(In reply to No by Christian Hiort)

"A pefect square is obtained by multiplying a number with itself, but there is no set of three consecutive 'natural' numbers where the product of any two equals the third."

But the product of three numbers can be a perfect square without the product of any two equalling the third.  For example, 3 4 27.  So your observation is not sufficient, in itself.

  Posted by Nick Hobson on 2004-06-27 04:30:49
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