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)
unless I am misreading the puzzle ...
Yes, you are. 44 is divisible by 11 ,but not by 121
A powerfol number may be expressed by a^2*b^3.
The unique representation of P.N. i.e.
(p1) ^a1*(p2)^a2*... (pk)^ak should display no a=1/