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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.)
re: Too many? | Comment 3 of 16 |
(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

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