[seqfan] Re: A purely hypothetical question on odd perfect numbers and the OEIS
Benoît Jubin
benoit.jubin at gmail.com
Fri Dec 3 02:58:47 CET 2010
A less hypothetical example is the sequence of integers where
pi(x)-li(x) changes of sign. It is known to be infinite, with first
term probably around 10^316. See Skewes' number on Wikipedia.
Benoit
On Wed, Dec 1, 2010 at 9:27 PM, Charles Greathouse
<charles.greathouse at case.edu> wrote:
> The first term, if it exists, is known to be greater than 10^500. A
> proof that all odd perfect numbers are at least 10^600 is underway,
> awaiting certain special-form factorizations.
>
> Charles Greathouse
> Analyst/Programmer
> Case Western Reserve University
>
> On Wed, Dec 1, 2010 at 11:20 PM, N. J. A. Sloane <njas at research.att.com> wrote:
>> If the first term was less than 10^80 or so then there is
>> no problem, it could be a regular entry in the OEIS
>>
>> If the first term were a lot bigger than that, then
>> we should create a page for it on the Wiki, entitled
>> Odd Perfect Numbers.
>>
>>
>> Best regards
>> Neil
>>
>>
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