[seqfan] Re: More terms for A195265 and A230305 ?

[Lior Manor]

Hi Hans,

I factored the first number on http://chesswanks.com/seq/a195264/csort.txt -


24356107930612071805703646221742927525146704255605068686955980023486587554213470082299558890778889

It has two prime factors:

3110906119339218964704390409863137515327469700869

7829264849620566993721896567682537763744203446581

I did not submit it to factordb.com (did not understand the format).

Lior


Lior
--------------------------------------------------------------------------------------------------
“Crime doesn’t pay directly; it goes through escrow”,  Dogbert


On Sun, Oct 27, 2013 at 2:21 PM, Hans Havermann <gladhobo at teksavvy.com>wrote:

> On Oct 27, 2013, at 2:56 AM, Neil Sloane <njasloane at gmail.com> wrote:
>
> > Dear Seqfans, A195265 was created in 2011, but presumably we have better
> > factoring algorithms now and more computers and
> > more people and a bigger cloud.
>
> The table that I submitted for http://oeis.org/A195264 (see 'links'
> therein) is still actively maintained by me. That includes all
> unknown-outcome evolutions starting with numbers up to 10000. If you click
> in that table on the 'unknown' beside the number 20 it will give you the
> current state of the evolution. There was a bit of a bottleneck at
> Alonso20(102) [= A195265(103); we're using offset zero for our evolutions]
> involving a 62-digit factor, cracked by a Mathew in MersenneForum on August
> 13. Sean A. Irvine subsequently extended that to Alonso20(109). The
> unfactored composite in Alonso20(110) is 178 digits long. I maintain links
> to sorted lists of unfactored composites at the *bottom* of the
> aforementioned table (here, http://chesswanks.com/seq/a195264/ ). If
> anyone can factor any of these composites, submit the factorization to
> factordb.com and I will (eventually) find it; a personal heads-up would
> of course be appreciated. I'll see what I can do about the b-file.
>
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