10+ table

[bdodson]

Originally Posted by bdodson

What is it with this 10+ list?
...

10,244+ cofactor splits as c215 = p56 . p159
... 
Not quite a miss. Borderline.

-Bruce (for B+D).

Continuing with the theme (starting with 10,241+ (diff.241) c175 splits by
snfs as p62. p114), we have

10,248+ cofactor splits as c199 = p58*p141,
prp58 factor: 2212893713887918222645451169509853038253459532292347577233

Batalov+Dodson, snfs. Hard to argue that these p56/p58 are out of range;
especially when found early. Just hard to remove.

I could try reconsidering whether to continue using 7t50 for numbers of (snfs)
difficulty in the 240's (B+D), while using 9t50 in the 250's (@Home, more on the
ones in the 260's). Or maybe we could clear the last numbers under 10^250 without
too much more thought?

The next conveyer numbers are 11m241 (finishing sieving) and 12m247
(just started). -Bruce

[R.D. Silverman]

Originally Posted by bdodson

Batalov+Dodson, snfs. Hard to argue that these p56/p58 are out of range;
especially when found early. Just hard to remove.

Perhaps you might estimate the expected CPU time required to find them
via ECM and compare with the actual time expended on SNFS?

[frmky]

NFS@Home has completed 10,268+ by SNFS. Thanks goes to Jeff Gilchrist for doing the linear algebra. The log is attached. The factors are

prp63 factor: 188559663327876471888363315685992845311774522520360566601659121
prp181 factor: 1083931224855529288843363709480842047163176902274082018904635281652127276952058927069578788560035566749512645808889946013865548858442895580378678360552528197692322041991044570589569

[FactorEyes]

10,530L finished, here at the Barcelona Institute for Single-Core Lanczos. The c162 GNFS split as p79.p84:

p79: 1866584856050670751142049533200645741569755944852998334484263922627299824538001
p84: 280517222628603122390686614439126500799061436412421614868318075012972094155878306621

Thanks to jrk for the polynomial.

[Andi_HB]

I want to unreserve 10^286+1 because my PC-Ressources are not good enough for this large GNFS Number. I will send a Mail to Sam Wagstaff tomorrow. Till today i have sieved 25Million Relations - i think ~80 Millions are required. I have uploadet the Relations to filemail and hope somebody can complete the work. Relations are available here http://www.filemail.com/dl.aspx?id=RJXACMCYQQTUEEN

Regards Andi_HB

[frmky]

Originally Posted by Andi_HB

I want to unreserve 10^286+1 because my PC-Ressources are not good enough for this large GNFS Number. I will send a Mail to Sam Wagstaff tomorrow. Till today i have sieved 25Million Relations - i think ~80 Millions are required. I have uploadet the Relations to filemail and hope somebody can complete the work. Relations are available here http://www.filemail.com/dl.aspx?id=RJXACMCYQQTUEEN

Regards Andi_HB

It may be in the upload, not sure, but be sure to share the polynomial you used, the parameters selected (LPBA/R, MFBA/R), the range of q you sieved, and on which side.

[Raman]

Originally Posted by frmky

It may be in the upload, not sure, but be sure to share the polynomial you used, the parameters selected (LPBA/R, MFBA/R), the range of q you sieved, and on which side.

I expect the factors for 11,265- around March 16 to 17 only. But the sieving jobs for 6,355+ and then 3,575+ have been deferred within the compute cluster. They can each take about March 26 to 27.

Some of the internal nodes within the compute cluster have become heavily loaded, they will require clean up. The resume option was not properly recognized for the latest jobs that I submitted into the compute cluster, for those ranges that were almost sieved, the batch jobs started sieving again from the beginning of the range. I noticed all these as early as possible, as these jobs were already overdue. So, I am waiting all the running jobs to finish up, a clean up is certainly required, after that the sieving for the remaining ranges will be continued to be done.

Thus, as a result, 6,355+ 3,575+ will be deferred, linear algebra is not yet started upon these two numbers, still, as of now. It can take about the end of this month even, the sieving jobs for the two numbers 3,581+ and then 5,400+ are right now in progress only. 3,580+ being partly sieved up only.

[R.D. Silverman]

Originally Posted by Andi_HB

I want to unreserve 10^286+1 because my PC-Ressources are not good enough for this large GNFS Number. I will send a Mail to Sam Wagstaff tomorrow. Till today i have sieved 25Million Relations - i think ~80 Millions are required. I have uploadet the Relations to filemail and hope somebody can complete the work. Relations are available here http://www.filemail.com/dl.aspx?id=RJXACMCYQQTUEEN

Regards Andi_HB

You've already done about 1/3 of the work! It seems you do have
the resources. It will simply take a while.

Have patience.

[xilman]

Originally Posted by R.D. Silverman

You've already done about 1/3 of the work! It seems you do have
the resources. It will simply take a while.

Have patience.

You (Andi_HB) clearly have the resources to complete the sieving. As Bob says, it just takes patience.

If you don't have a big enough machine to do the post-sieving stages there are others who can help out. There's a very good chance that I could, for instance.

Keep at it!

Paul

[Andi_HB]

juno1369 have mailed that he wants to work further with this Number.
I have only a Core2 Laptop which can be used for the sieving - and till now its working with Vista Home 32bit Version. If i wants to finish the sieving it will take till the end of the Year - so i decidet to unreserve this Number.
I have used this Polynomial:

n:  15764689982344536517771021186273406748173928006967550504357382938426798303527007683249463226418352501943599358801522375151414371266800385235667781728011088393709
skew: 10887480.70
Y0: -13968842428054971532371343005271
Y1: 406095970085689673
c0: 6396747705471302698957036275292308554400
c1: 238115329123966363474521251154152
c2: -1278255642788702958890606164
c3: 40617525259704032030
c4: 12074212525095
c5: 29640
rlim: 60000000 
alim: 26000000 
lpbr: 30 
lpba: 30 
mfbr: 60 
mfba: 60 
rlambda: 2.65 
alambda: 2.65

Sieving from 25M-33M on both sides with siever15e is done.

[Raman]

Originally Posted by Andi_HB

rlim: 60000000
alim: 26000000

The algebraic side over here is more unbalanced, so that don't you rather want to use much higher algebraic factor base limits than the rational ones? Or that I am missing out something?

I, for one, would better use off with a gnfs-lasieve4I14e siever for a GNFS 161.
26 million seems to be very low for a number of this size, I would use a bound as high as 75 to 80 million.