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!!

(In reply to

Question by Brian Smith)

Yes, it does.

**A powerfol number may be expressed by a^2*b^3,**

**a & b integers not necessarily primes.**

The basic definition covers all your samples.

The unique representation of P.N. i.e.

(p1)^a1*(p2)^a2*... (pk)^ak should display no a=1, **no power** **less than** **2.**