[seqfan] Re: 72 is the only pronic and powerful?
Georgi Guninski
guninski at guninski.com
Sun Dec 2 19:51:57 CET 2012
On Sun, Dec 02, 2012 at 11:21:50AM -0500, Charles Greathouse wrote:
> What are the exact conditions for that? Of course cubics like x^3 and 8x^3
> + 36x^2 + 54x + 27 are powerful infinitely often.
>
Oh, the small print says "squarefree cubic or squarefree higher degree"
Cf Consequences 15. Power free-values of polynomials at
http://www.math.unicaen.fr/~nitaj/abc.html#Consequences
Actually (15.) is weaker than what I suggested.
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