Powerful numbers (4,8,9,16,25,27... )are defined as follows: if a prime p divides n then p^{2} 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!!

`8,288,675,9800 ....`

`
``a sequence of p.n. such that p.n.+1 is a p.n as well. `

__It is easy to see that this sequence is infinite: __

if n is in the sequence, so is 4n*(n+1).

` [From Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Sep 16 2009] `