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 re: Definition====> I beg to differ
by Ady TZIDON)
The article "a" does have, sometimes, the indication of "one", rather than "any". Wolfram's definition lacks that article that could be construed as to have a singularizing effect.
Unfortunately English (and presumably any natural language) is not as precise as mathematics.
Posted by Charlie
on 2010-08-11 03:07:13