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schickel 2010-01-30 07:00

[CODE]01/29/10
Seq Index Size Co-factor Driver/Guide
170196 1766 135 133 2^4 * 7
171018 1895 127 126 2^3 * 5
363270 1662 143 138 2^7 * 3
604560 2526 135 123 2^2 * 3 * 5^2[/CODE]No drivers yet, but some not-so-gentle guides..... :sad:

unconnected 2010-01-30 13:08

[URL="http://factordb.com/search.php?se=1&aq=768360&action=last20"]768360[/URL]: i=1764, size 111, 2*3 driver

Mini-Geek 2010-01-30 22:54

[URL="http://factordb.com/search.php?se=1&aq=796992"]796992[/URL] acquired the downdriver at 104 digits. :smile: (have had it for 14 indexes so far, shed 3 digits, currently ECMing a c93)

biwema 2010-01-30 23:43

Oh, Sequence 859974 gets really awful now... (Size 135)

By the way, Index 6244, C132 took 211 hours.

but then every index has composite with 130 or more digits...

Index 6255: c130... NFS took between 6 and 7 days (was interrupted, so no exact timing)

Index 6256: c132... found a small factor quite late:

[Jan 21 2010, 09:54:58] c132: running 904 ecm curves at B1=1e6...
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1582937059
Step 1 took 9953ms
Step 2 took 6469ms
********** Factor found in step 2: 377363184577581707594274159031
[Jan 21 2010, 10:46:13] *** prp30 = 377363184577581707594274159031


Index 6257: c131... I let ECM run while starting NFS

[Jan 23 2010, 04:37:36] c131: running 0 auto-increasing ecm curves...
Using B1=11038523, B2=11038523-35133391030, polynomial Dickson(12), sigma=290298803
Step 1 took 110484ms
Step 2 took 50969ms
********** Factor found in step 2: 2444037365667310101375790837597961835424957
[Jan 25 2010, 02:47:57] *** prp43 = 2444037365667310101375790837597961835424957

Index 6258: c130... I again let ECM run while starting NFS.
This time I was very lucky to find that one:
[Jan 25 2010, 03:35:44] Cofactor 1154419837355086235149508619919121916802969164663682353520935984613739354726229970790677748406248338394547131021435831021748593729 (130 digits)

[Jan 26 2010, 13:28:08] c130: running 0 auto-increasing ecm curves...
Using B1=17564938, B2=17564938-58560416470, polynomial Dickson(12), sigma=314252554
Step 1 took 173609ms
Step 2 took 72844ms
********** Factor found in step 2: 15993860317788324727467582372681288091393301940867047
[Jan 30 2010, 10:15:34] *** Neat 53-digit factor found: 15993860317788324727467582372681288091393301940867047
[Jan 30 2010, 10:15:34] *** prp53 = 15993860317788324727467582372681288091393301940867047

[Jan 30 2010, 10:15:34] Cofactor 72178937068191339904167733944918533643737229848112240813343603653508276045207 (77 digits)
[Jan 30 2010, 10:15:34] *** prp77 = 72178937068191339904167733944918533643737229848112240813343603653508276045207

Finding a C53 while ECM up to ~t46 level.
I noticed that B1=12000000 and B2=60000000 would be enough here.
How can I determine how smooth that factor with this curve is?

10metreh 2010-01-31 07:29

[QUOTE=biwema;203935]Index 6258: c130... I again let ECM run while starting NFS.
This time I was very lucky to find that one:
<snip>
Finding a C53 [b](this should be P53)[/b] while ECM up to ~t46 level.
I noticed that B1=12000000 and B2=60000000 would be enough here.
How can I determine how smooth that factor with this curve is?[/QUOTE]

That's what I call lucky. Email it to zimmerma at loria dot fr; it will be 10th on the [url=http://www.loria.fr/~zimmerma/records/ecmnet.html]top 10[/url] for 2010.

biwema 2010-01-31 12:44

Of course it is P53. it was quite late yesterday...

I will send it to Ernst Zimmermann although it might disappear the next few months. I assume that only P58 or more will finally get into the annual top10.

It was luck that i used the increasing ECM. The standard B1=11M would just not find it. (I know his factor is in the B1=110M area (up to 55Digits))

10metreh 2010-01-31 13:20

[QUOTE=biwema;203968]I will send it to Ernst Zimmermann although it might disappear the next few months. I assume that only P58 or more will finally get into the annual top10.
[/quote]

He's Paul not Ernst. But anyway, the next factor bigger than it would knock it off.

Mini-Geek 2010-02-01 12:28

[quote=Mini-Geek;203929][URL="http://factordb.com/search.php?se=1&aq=796992"]796992[/URL] acquired the downdriver at 104 digits. :smile: [/quote]
...and lost it at 98 digits. :sad: It got the 2^3 * 5 guide and I released it at 102 digits.

Mini-Geek 2010-02-02 16:08

[URL="http://factordb.com/search.php?se=1&aq=628140"]628140[/URL]:
Despite it not being considered a guide or driver or anything, I had 2^9 * 11 * 31 (compare to the rare driver 2^9 * [U]3[/U] * 11 * 31) [URL="http://factordb.com/search.php?se=1&aq=628140&action=range&fr=1028&to=1095"]for 65 lines[/URL], (breaking at 2^9*11*31*p1*p2 where p1 and p2 were both ==1 mod 16) growing the sequence 11 digits. From there, it went to a very high power of 2: 2^16 followed by 2^17. Shortly after that, I got the downdriver again. :smile:

10metreh 2010-02-02 17:43

[QUOTE=Mini-Geek;204316][URL="http://factordb.com/search.php?se=1&aq=628140"]628140[/URL]:
Despite it not being considered a guide or driver or anything, I had 2^9 * 11 * 31 (compare to the rare driver 2^9 * [U]3[/U] * 11 * 31) [/QUOTE]

It is a guide.

mdettweiler 2010-02-02 17:50

[quote=10metreh;204325]It is a guide.[/quote]
Everything that isn't a driver's considered a guide, right?


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