Powerful numbers (4,8,9,16,25,27... )are defined as follows: if a prime p divides n then p² must also divide n.
(8,9) is a couple of two consecutive numbers,both of them being powerful.
Find another pair(s) like that.

The more the merrier!!

I think it was clear to us what you meant but it wasn't as precise as possible as Dej Mar points out. If one thought "If a prime" meant "If some prime", which sound similar, then it would be easy to get confused.

Posted by Gamer on 2010-08-10 15:38:39