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Powerful and consecutive (Posted on 2010-08-09) Difficulty: 4 of 5
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!!

No Solution Yet Submitted by Ady TZIDON    
Rating: 3.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Hints/Tips re: Too many? | Comment 5 of 16 |
(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/


  Posted by Ady TZIDON on 2010-08-09 14:15:31
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