[seqfan] Re: 1 is square (square of unit 1) but is not squareful (i.e. it is squarefree, no repeated primes in its prime factorization)

Charles Greathouse charles.greathouse at case.edu
Thu Aug 19 14:49:14 CEST 2010

"Every prime factor repeated at least twice" is powerful:

Squareful is to be avoided, I think, in the OEIS because it can mean
nonsquarefree or powerful.

Charles Greathouse
Case Western Reserve University

On Tue, Aug 17, 2010 at 4:27 PM, Daniel Forgues <kephalopod at gmail.com> wrote:
> [http://mathworld.wolfram.com/Squareful.html]
> MathWorld defines squareful as not squarefree, but I would have
> preferred squaresome with that meaning and squareful to mean that
> every prime factor is at least repeated twice.  Similarly, cubesome
> would mean that at least one prime factor is repeated three times and
> cubeful would mean that every prime factor is at least repeated 3
> times. And so on...  But
> MathWorl defines a number as squareful if at least one of its prime
> factors is repeated... (seems unfortunately confusing...)
> --
> Daniel Forgues
> _______________________________________________
> Seqfan Mailing list - http://list.seqfan.eu/

More information about the SeqFan mailing list