[seqfan] Re: A purely hypothetical question on odd perfect numbers and the OEIS

Charles Greathouse charles.greathouse at case.edu
Thu Dec 2 02:11:53 CET 2010

Not directly, it would seem, since the OEIS has a soft limit of 80
digits per number for the sequence lines.

I can think of interesting derived sequences, though: divisors of the
first odd perfect number, for example.  (Finite, of course, but with
lots of members -- almost surely more than a million.)

n-th prime divisor (with multiplicity) of the first odd perfect number?

Table of prime divisors of the odd perfect numbers (in order, with an
infinite number of 1s to the right after the last prime?)?

Charles Greathouse
Case Western Reserve University

On Wed, Dec 1, 2010 at 6:16 PM, Alonso Del Arte
<alonso.delarte at gmail.com> wrote:
> Suppose that someone discovered that not only odd perfect numbers exist,
> there are infinitely many of them and they're not coprime (the even perfect
> numbers would be coprime without the powers of 2 as divisors). How would the
> sequence of odd perfect numbers be added to the OEIS?
> Again, this is a purely hypothetical question.
> Al
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