S_{0,4}

Max maxale at gmail.com
Mon Feb 27 07:18:52 CET 2006


I've got to 4393rd iteration and the number about exp(3080.6).
Empirically I see that it grows and grows with each iteration. Even if
it does not go to infinity, to show that much more iterations are
required. So I give up at this point.

Max

On 2/26/06, Max <maxale at gmail.com> wrote:
> On 2/25/06, koh <zbi74583 at boat.zero.ad.jp> wrote:
>
> >     Have you continued after 3680th term?
>
> Yes. Now I'm at the 4011st iteration factoring 333-bit number.
>
> >     By the way.
> >
> >     What of the form was the number?
> >
> >     I suppose that it is of the form p^k-1, becaues Sigma(n)=Product (p_i^(e_i+1)-1)/(p_i-1).
> >
> >     If so, and p is small, then see site of "Cunningham project".
>
> It was a large composite divisor of the number p+1 where p=P105 was a
> prime divisor of 2^373-1.
> And, yes, I'm using Cunningham tables to avoid factoring of numbers of
> the form 2^k-1.
>
> Currently I'm factoring P103+1 where P103 is a prime divisor of 2^379-1.
>
> Max
>






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