[seqfan] Re: 72 is the only pronic and powerful?

[Charles Greathouse]

What are the exact conditions for that? Of course cubics like x^3 and 8x^3
+ 36x^2 + 54x + 27 are powerful infinitely often.

Charles Greathouse
Analyst/Programmer
Case Western Reserve University


On Sat, Dec 1, 2012 at 10:56 AM, Georgi Guninski <guninski at guninski.com>wrote:

> On Fri, Nov 30, 2012 at 12:06:15PM -0500, Charles Greathouse wrote:
> > It's readily derived from A060355, and I'm not sure that it needs to be
> > submitted separately. What do you think, Tanya?
> >
> > Charles Greathouse
> > Analyst/Programmer
> > Case Western Reserve University
> >
> >
>
> Much more rare are cubic(n)=powerful.
>
> ABC implies they are finite per polynomial.
>
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