[seqfan] Re: Potentially dumb question: Is 1 squarefree?

Donald Alan Morrison donmorrison at gmail.com
Sat Feb 12 01:16:19 CET 2011

sage: is_squarefree(1)

It's squarefree, but probably outside your domain of interest, since
its prime factorization contains no primes.

On Fri, Feb 11, 2011 at 4:00 PM, Marc LeBrun <mlb at well.com> wrote:
>>="Alonso Del Arte" <alonso.delarte at gmail.com>
>> Is 1 a squarefree number?
> I imagine it's sensitive to subtleties of how you define squarefree, and
> opinions and tastes on this may differ.
> My impulse would be to define squarefree in terms of prime factorization--a
> squarefree number then has all exponents <2.  The exponents in the prime
> factorization of 1 are all 0, so under that definition it is squarefree.
> But perhaps there are other equally consistent alternative interpretations.
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