Is it possible to get a perfect square if you multiply three consecutive natural numbers?
(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.