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!!

(In reply to Too many? by ed bottemiller)

24, for example, does not satisfy the criterion for a powerful number, as there's a prime, 3, which divides it, but 3^2 does not.

Posted by Charlie on 2010-08-09 13:34:04