## Query

Expand Messages
• Dear Group, Seeing that there are so few posts this month, I am wondering whether anyone interested wishes to answer the following, What is the full
Message 1 of 6 , Mar 26, 2004
• 0 Attachment
Dear Group,
Seeing that there are so few posts this month, I am wondering whether
anyone interested wishes to answer the following,

What is the full factorisation of
(a) 2^1093+1
(b) 2^3511+1

If there are no takers, because it is a big ask, I will understand.

Alternatively, can someone at least tell me if (a) has more than four
factors, or point me in the right direction to search out the answer.

Best wishes,

John McNamara
• ... 3.306041.149076457.P315
Message 2 of 6 , Mar 27, 2004
• 0 Attachment
> What is the full factorisation of
> (a) 2^1093+1

3.306041.149076457.P315

[P315=775309902635364881556328081709560033340899914713343298788222763555845496121751135840855081911255797039523816675957639538204352523982931845105652930547765889021733861178541326435214398367275527174643585660578896930155527258216600218442697602089139283393183797246794047468615602440282788647026739035063140565569055563]

http://www.cerias.purdue.edu/homes/ssw/cun/prime.php

> (b) 2^3511+1

P( 3511 )C: 3
P( 3511 )C: 1537819
P( 3511 )C: 6151273
P( 3511 )C: 7615213345961363
plus more unknown(?) factors.

http://www.euronet.nl/users/bota/medium-p.htm

Mikael
• ... Will Edgington is the source for latest information on Mersenne Factors. He will list factors for this under M(7022).
Message 3 of 6 , Mar 27, 2004
• 0 Attachment
wrote:

> (b) 2^3511+1

Will Edgington is the source for latest information on Mersenne
Factors. He will list factors for this under M(7022).
http://www.garlic.com/~wedgingt/mersenne.html

Dario Alpern usually has the recent information in his Java applet.
Note that the smaller factors are not stored, so you need to let it
run a few curves to find them.
http://www.alpertron.com.ar/ECM.HTM

3 x 1537819 x 6151273 x 7615213345961363 x C1028
====================
ElevenSmooth: Distributed Factoring of 2^3326400-1
http://ElevenSmooth.com
• ... ... How interested are you in the finding more factors? I ve put the 1028 digit composite into an ECM server that also has other
Message 4 of 6 , Mar 27, 2004
• 0 Attachment
<mistermac39@h...>
> wrote:
>
> > (b) 2^3511+1

> 3 x 1537819 x 6151273 x 7615213345961363 x C1028

How interested are you in the finding more factors? I've put the 1028
digit composite into an ECM server that also has other numbers from
ElevenSmooth. Soon it will have finished looking for 30 digit factors
and start looking for 35 digit factors. If you contribute to the
search, I'll keep the number in; otherwise I'll dump it in a few days
when I grow bored.

The ecm server is at elevensmooth.no-ip.com, Port 8196. If you don't
http://ElevenSmooth.com/ElevenDown.html

William
==================================
ElevenSmooth: Distributed Factoring of 2^3326400-1
http://ElevenSmooth.com
• ... The search is nearly finished for 35 digit factors (B1=1M). A special thank-you to the person that contributed two machines for few days. I m going to
Message 5 of 6 , Apr 1, 2004
• 0 Attachment
> I've put the 1028 digit composite from 2^3511+1 into
> an ECM server that also has other numbers from ElevenSmooth.
>
> The ecm server is at elevensmooth.no-ip.com, Port 8196.

The search is nearly finished for 35 digit factors (B1=1M).
A special thank-you to the person that contributed two machines
for few days. I'm going to complete the 35 digit search and perhaps
100 curves of the 40 digit search. At that time I'll dump
the number unless other people have joined the search.

William
==================================
ElevenSmooth: Distributed Factoring of 2^3326400-1
http://ElevenSmooth.com
• Message 6 of 6 , Apr 5, 2004
• 0 Attachment
<elevensmooth@y...> wrote:
> --- In primenumbers@yahoogroups.com, "mistermac39" <mistermac39@h...>
> wrote:
>
> > (b) 2^3511+1
>
> Will Edgington is the source for latest information on Mersenne
> Factors. He will list factors for this under M(7022).
> http://www.garlic.com/~wedgingt/mersenne.html
>
> Dario Alpern usually has the recent information in his Java applet.
> Note that the smaller factors are not stored, so you need to let it
> run a few curves to find them.
> http://www.alpertron.com.ar/ECM.HTM
>
> 3 x 1537819 x 6151273 x 7615213345961363 x C1028
> ====================
> ElevenSmooth: Distributed Factoring of 2^3326400-1
> http://ElevenSmooth.com
Your message has been successfully submitted and would be delivered to recipients shortly.