[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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