I am now done with 554016. Status:

554016; i=4388; sz 113; C102; +22; 2^3*3*5

[size="1"][Cue Alanis Morissette singing "Ironic"....][/size]

Well, I just put a c128 from 29772 out for ECM testing and had this pop up with 88662 (just finished the c117 from line 2183 as p57 * p61):[code] 2183 . c124 = 2^3 * 31 * 14087 * 123659069950021094428412120305159621667231316250499073781 * 7350237645797946840635781771752183654993447229582189361900399
2184 . c124 = 2^3 * 371370711316275082740732073917683372950060595517070181637562528288704394258198692012238245006688509480487921275787951682557
2185 . c124 = 2 * 331 * 39294883987 * 99933636005969664778080630741891604259023659591597842636965970457618520494988587857559665073920999632533345581
2186 . c124 = 2 * <misc> * c86
[/code]

Extended 195528 (needed a couple cracks), passed the milepost 8000...

I am now done with 130396. Status:

130396; i=5020; sz 112; C110; +38; 2*3

I am now done with 557604. Status:

557604; i=4440; sz 104; C101; +24; 2^4*31

Sequence 14994 [URL="http://factorization.ath.cx/search.php?se=1&aq=14994&action=range&fr=645&to=659"]escaped from 2^6*127[/URL] at 105 digits at index 650. Not sure how common this is since the driver is rare and requires a square of 127 which is rare. Is there another known escape?

Note however that once it gets the square the chances of escape are higher than usual since it can have up to 6 powers of 2 in other factors and still escape.

[QUOTE=Greebley;195167]Sequence 14994 [URL="http://factorization.ath.cx/search.php?se=1&aq=14994&action=range&fr=645&to=659"]escaped from 2^6*127[/URL] at 105 digits at index 650. Not sure how common this is since the driver is rare and requires a square of 127 which is rare. Is there another known escape?

Note however that once it gets the square the chances of escape are higher than usual since it can have up to 6 powers of 2 in other factors and still escape.[/QUOTE]

The record is 108 digits in 473502.

Sequence 859974
Finally passed index 6000
After 49 indexes at 119 digits it got the downdriver an could reduce to 112 (it is not much but better than nothing), then first with 2^4; later with 2^2 moving around 112-113 digits.

Now continuing at index 6013: 112 digits, c109

What a way to go!
 

From 88662:[code] 2205 . c119 = 2 * 234131 * 3528700237 * 6659287479323598478202531 * 3888218126690152567895375357781010364261260834204457542454981743922456935442687
2206 . c119 = 2 * 5^2 * 427846153313403084164887794058263151179513284422406177090995592629706170910707355945864385889925050118120291712643021
2207 . c119 = 2^2 * 7 * 3823 * 47795418790465201 * 4356562180993512731831 * 18659664520589227414438298061797378929 * 44234358985132530458626811624193098141[/code]Straight from the downdriver to [B][COLOR="Red"]2^2 * 7[/COLOR][/B]. :sad: :down: :mad: :cry: :no:

[quote=10metreh;195190]The record is 108 digits in 473502.[/quote]

Yep, I set that one a few weeks ago. It escaped 2^6*127 at 108 digits and went almost immediately to the much more dastardly 2^5*3*7 before I finally gave it up at 110 digits. You just can't win on some of these sequences.

Is there a table somewhere of record height escape from most of the common drivers?

I am now done with 216840. Status:

216840; i=4733; sz 103; C101; +34; 2*3

All sequences < 100M in the DB that are i>4250 are now at C>=100. This warms my heart. :-)

[quote=biwema;195198]Sequence 859974
Finally passed index 6000
After 49 indexes at 119 digits it got the downdriver an could reduce to 112 (it is not much but better than nothing), then first with 2^4; later with 2^2 moving around 112-113 digits.

Now continuing at index 6013: 112 digits, c109[/quote]

You might consider entering everything in the database now. Per the list [URL="http://factorization.ath.cx/search.php?so=1&se=1&2=1&1=1&5=1&3=1&start=2&limit=100&len=1"]here[/URL], your sequence would be the 12th longest at i=6013.

You can run aliqueit -s 0 <seq-num> in the directory without stopping the run. I do this every few days so I don't lose as much if something happened to the computer. You need wget though.

[QUOTE=gd_barnes;195249]Yep, I set that one a few weeks ago. It escaped 2^6*127 at 108 digits and went almost immediately to the much more dastardly 2^5*3*7 before I finally gave it up at 110 digits. You just can't win on some of these sequences.

Is there a table somewhere of record height escape from most of the common drivers?[/QUOTE]

The highest I know of are:

2 * 3: 139 digits in 1464
2^2 * 7: 126 digits in 1464
2^3 * 3: 156 digits in 1074
2^3 * 3 * 5: 135 digits in 167148
2^4 * 31: 130 digits in 102000
2^5 * 3 * 7: 150 digits in 1134
2^6 * 127: 108 digits in 473502
2^9 * 3 * 11 * 31: 133 digits in 363270

Please inform me if a) you break any of these or b) you find an escape that is higher than one of these.

I am now done with 425052. Status:

425052; i=1008; sz 106; C102; +176; 2^2*3*5

[URL="http://factorization.ath.cx/search.php?se=1&aq=14994&action=last20&fr=&to="]14994[/URL] hit a down driver at 112 digits. Has gotten back to 106 digits so far.

I am now done with 100644. Status:

100644; i=365; sz 113; C102; +4; 2^3*3*5^3

I checked the database for sequences < 1M remaining that still had factors that were C<70. I found 7 of them and advanced them to C>70. Here are their statuses:

247560; i=791; sz 100; C82; +2; 2*3
303072; i=293; sz 86; C71; +12; 2^3*3*5
443460; i=778; sz 85; C78; +15; 2^2*3*5*7
455460; i=463; sz 88; C84; +3; 2^3*3*5
971676; i=1228; sz 98; C75; +14; 2^2*7
971946; i=1126; sz 91; C75; +3; 2^2*5*7
973380; i=1338; sz 96; C90; +2; 2^2*7


No reservations here. All sequences < 1M are now at C>=70.

...filling in more holes. :smile:

I was wondering why C70 was the smallest cofactor. Seemed unlikely to be by chance.

I assume you use the sequence overview to find them?

[quote=Greebley;195719]I was wondering why C70 was the smallest cofactor. Seemed unlikely to be by chance.

I assume you use the sequence overview to find them?[/quote]

That is correct.

At some point, I may advance some of the numerous C70's to C>70. By my definition of "advance", it means I have to advance a sequence until it has a "hard" factor of C>70 with "hard" defined as surviving 3 "quick ECM's" in the D.B. as well as the standard number of ECM curves in aliquet.exe. Many times, I'll add 20-30 or more indexes before I consider it fully advanced past C>70.

I am now done with 102216 and 103512. Statuses:

102216; i=821; sz 110; C101; +21; 2^3*3*5*7
103512; i=1500; sz 105; C102; +45; 2^2*3

717240: i=1870, size 131, 2^6*127 driver

Sorry, I haven't posted in a while....been getting settled in on a new PC after my previous system threw a fan and (apparently) fried the CPU. Here's my latest:[code]11/20/09
Seq Index Size Co-factor Driver/Guide
29772 1072 125 92 2
170196 1727 136 130 2^3
171018 1844 121 106 2^5 * 3^2
363270 1641 140 126 2^7
604560 2463 129 122 2^6[/code]

I am now done with 112584. Status:

112584; i=1022; sz 117; C115; +56; 2^6*3

There's no driver on this one but I couldn't get rid of the small factors.

I found another sequence < 1M in the database that had a factor of C<70 so I extended it. Status:

730260; i=1088; sz 89; C76; +18; 2^2*7

No reservation.

I found another sequence < 1M in the database that had a factor of C<70 so I extended it. Status:

726672; i=751; sz 103; C101; +1; 2^2*3*7

No reservation.

Here is the current status of my reserved sequences after running them while I was away:

1) 14994 - Index 1769, 120 Digits, 2^2*3, c114
2) 238872 - Index 717, 131` Digits - 2^3*3, c125 - Releasing
3) 511728 - Index 1362, 117 Digits - 2^8*3^2, c100
4) 511734 - Index 613, 110 Digits - 2^3, c97
5) 527436 - Index 1089, 114 Digits - 2^3, c104
6) 527640 - Index 927, 127 Digits - Downdriver, c110
7) 572040 - Index 897, 102 Digits - Downdriver, c98
8) 699000 - Index 667, 106 Digits 2^3*3*5, c86 - Releasing
9) 709420 - Index 963, 115 Digits, 2^4, c92
10) 713160 - Index 1342, 109 Digits, 2^3*5, c90
11) 713214 - Index 1050, 122 Digits, 2^2, c103
12) 721980 - Index 892, 105 Digits, 2^3, c88
13) 724578 - Index 2473, 118 Digits, 2^2*5*7^2, c113 - Releasing

I am releasing 238872. The c125 passed ecm by aliqueit so it has a large gnfs and 2^3*3 is technically a driver, so escape chance isn't good (though better than other drivers)
I am also releasing 699000 as it now has the dread 2^3*3*5 driver.
Finally, I am releasing 724578 which picked up 2^2*7.

527640 picked up the down driver at 128 digits, I will be working on this one to see where it goes.
572040 also got the downdriver at 106. This is the other sequence I will be working on full time.

I will also post the releases in the other release threads.

:party:

[code]12/02/09
Seq Index Size Co-factor Driver/Guide
29772 1114 121 119 2
170196 1733 136 123 2^5
171018 1857 124 107 2^4
363270 1646 140 129 2^6
[COLOR="Green"]604560 2476 128 97 2[/COLOR][/code]

:party: :party:

Two down-drivers at over 120 digits - very nice. Hope they go somewhere for you.

----------------------

572040 managed to get down to just over 3 billion before heading up again. It lost the 2 down driver quickly then as quickly regained it again at 103 digits for a run to 25 digits. Currently has a 2^2 at 86 digits.

Meanwhile 527640 has a c118 to deal with so only got 2 indices further.

The first update from Clifford in nearly a month, and some news:

Paul Zimmermann broke the highest downdriver acquisition record: the record is now 145 digits in 660. He also escaped 2^5 * 3 * 7 at a record height of 146 digits in 552.

Christophe Clavier reports another downdriver, in 4380. This came directly from 2^2 * 7 at 124 digits, a record.

Clifford himself has terminated 98616. It is the first termination below 100000 since September last year, and the second highest termination too.

And of course the record high stability in 4788 :smile:

However, if 4788 gets the downdriver, I wonder how long that record would last! :whistle:

Color me sad
 

From 604560:[code]2^4 * 11262790983260911035826818862087349810822065285230237973240469525722953436605180539944975080181290625028306254060261053141250997
2 * 19 * 7283 * 15036423217 * 55941969137 * 725706623234601326461765121317638797079223651191410528801778840596845381130746805036733914719808096021
2 * 48922537234104260148964822985175671081448603949944960047939673233947384760663995513431223229190293547750767277562682044635962467
2 * 5 * 3861821 * 46045157 * 9591556764608479 * 2458565892194194957032502822641296803571403959 * 1166707314904345336230796576146356762128538117763791
2 * 5 * 216524262302446093 * 18075597665798106131798823673942505094728474396255023460727330665138195995846290613837956667473196403811875981
2 * 23 * 340280296553 * 12867208787750330023 * 155456984213028775942624399421811707466009610311181591766854394121257512230454531523457084746111
2 * 5 * 503 * 859 * 1319 * 28759 * 1033039116374876418508900165780561363261 * 104522128508563118371888269162303244974833322752069346288621397189784318429
2 * 5 * 13 * 17 * 41 * 54631 * 11392883 * 2275575082463131 * 3988375026790407774057300629925756965533633 * 27906242887831495322053844143417113058008643604255033
2 * 7874459154092073582859681854326279025602006780462502009566579211096251536368630016677164596442800078134180873460729371016280041
2^2 * 71 * 1033 * 1301[/code]Summary: 8 lines and 1 lousy digit....

[quote=schickel;197868]From 604560:[code]2^4 * 11262790983260911035826818862087349810822065285230237973240469525722953436605180539944975080181290625028306254060261053141250997
2 * 19 * 7283 * 15036423217 * 55941969137 * 725706623234601326461765121317638797079223651191410528801778840596845381130746805036733914719808096021
2 * 48922537234104260148964822985175671081448603949944960047939673233947384760663995513431223229190293547750767277562682044635962467
2 * 5 * 3861821 * 46045157 * 9591556764608479 * 2458565892194194957032502822641296803571403959 * 1166707314904345336230796576146356762128538117763791
2 * 5 * 216524262302446093 * 18075597665798106131798823673942505094728474396255023460727330665138195995846290613837956667473196403811875981
2 * 23 * 340280296553 * 12867208787750330023 * 155456984213028775942624399421811707466009610311181591766854394121257512230454531523457084746111
2 * 5 * 503 * 859 * 1319 * 28759 * 1033039116374876418508900165780561363261 * 104522128508563118371888269162303244974833322752069346288621397189784318429
2 * 5 * 13 * 17 * 41 * 54631 * 11392883 * 2275575082463131 * 3988375026790407774057300629925756965533633 * 27906242887831495322053844143417113058008643604255033
2 * 7874459154092073582859681854326279025602006780462502009566579211096251536368630016677164596442800078134180873460729371016280041
2^2 * 71 * 1033 * 1301[/code]Summary: 8 lines and 1 lousy digit....[/quote]
Oh well, at least it only went to 2^2, so you've still got a decent chance of regaining the downdriver.

I am now done with 117348. Status:

117348; i=1705; sz 105; C102; +340; 2*3^2


I caught a decent downdriver run at a personal record of 111 digits. After finding several personal-record sized factors of > 50 digits on the way down, it lost the downdriver at 91 digits. After bottoming at 90 digits, it acquired the 2*3 driver and was on its merry way up again. An interesting (and long) run.

I've breaked my own record on 2^4*31 highest escape. Now it is at 132 digits (old was 130 digits from 102000).
[code]5919. 238991728474248620428207315935753228255732718866050175093573684575816346672489850769086585341203619801928351724970858291731372532080 = 2^4 * 5 * 31^2 * 8667652937 * 358647643994369705091336007990235685129452324755981512640671409206238410814035593563731511259122767582356036294713043
5920. 335166625724885333941320904187955436017263774852734145548525948806662072182299507877499755663544643017790201805735934348362988759776 = 2^5 * 11 * 31 * 115915361 * 235983090737 * 1122883067248814000942456822092513372944815627438881762774309367775783606009242425902647683204586605562184139
[/code]

I have forgotten to mention - the sequence is 11040..

[QUOTE=unconnected;198305]I've breaked my own record on 2^4*31 highest escape. Now it is at 132 digits (old was 130 digits from 102000).
[code]5919. 238991728474248620428207315935753228255732718866050175093573684575816346672489850769086585341203619801928351724970858291731372532080 = 2^4 * 5 * 31^2 * 8667652937 * 358647643994369705091336007990235685129452324755981512640671409206238410814035593563731511259122767582356036294713043
5920. 335166625724885333941320904187955436017263774852734145548525948806662072182299507877499755663544643017790201805735934348362988759776 = 2^5 * 11 * 31 * 115915361 * 235983090737 * 1122883067248814000942456822092513372944815627438881762774309367775783606009242425902647683204586605562184139
[/code]

I have forgotten to mention - the sequence is 11040..[/QUOTE]

Remember to email Clifford Stern.

I am now done with 210280. Status:

210280; i=2373; sz 113; C108; +52; 2^3*3

A little over a week ago, I found some more sequences < 1M in the database that had factors of C<70 so I extended them. Statuses:

743370; i=624; sz 83; C74; +20; 2^10 (no driver!)
745608; i=1532; sz 81; C73; +7; 2*3
761478; i=1192; sz 80; C77; +4; 2^4*31
974760; i=273; sz 98; C94; +26; 2*3^2


No reservations.

Some excerpts from 29772:[code] 1263 . 804469124911451870343559809566020115961551801755954428130738954743818073158458672508467882 = 2 * 402234562455725935171779904783010057980775900877977214065369477371909036579229336254233941
1264 . 402234562455725935171779904783010057980775900877977214065369477371909036579229336254233944 = 2^3 * 2179 * 34303 * 873553 * 705570064712648006109360542533 * 1091366599440458560315606189019376294657879211

1278 . 219308192397466911893135827857978112695131034638381647030637639038094298456373370810575456 = 2^5 * 6853381012420840996660494620561816021722844832449426469707426219940446826761667837830483
1279 . 212454811385046070896475333237416296673408189805932220560930212818153851629611702972745036 = 2^2 * 53113702846261517724118833309354074168352047451483055140232553204538462907402925743186259
1280 . 159341108538784553172356499928062222505056142354449165420697659613615388722208777229558784 = 2^10 * 31^2 * 2663 * 9703711 * 87995749 * 11435096439919 * 6227216225753506512838740824776743107884623419926307

1299 . 413031938759310965125235776909621199499923845738803796942268713888555438263924355714856504 = 2^3 * 51628992344913870640654472113702649937490480717350474617783589236069429782990544464357063
1300 . 361402946414397094484581304795918549562433365021453322324485124652486008480933811250499456 = 2^7 * 61 * 71 * 79 * 12959 * 36607 * 35488576043 * 17131367000911 * 28612132152602583931071369630920125219249302427927[/code]....and the current last line...[code] 1332 . 32579299292501884548239768329022840455120075341147690611758360844609405055030273578945664093524448 = 2^5 * 3 * 7 * 89 * 1417932741301 * 840840313538321969 * 456891736498706232972526857782447204940080848144064073236381999
[/code]I suppose I'll chase this back up to 110 but I'm not going to enjoy it.....

I am now done with 104970. Status:

104970; i=1215; sz 107; C102; +49; 2*3*7

[URL="http://factordb.com/search.php?se=1&aq=842592&action=last20"]842592[/URL] have passed 7000th iteration!
Current status - size 120, 2^2*3 guide

[code]12/16/09
Seq Index Size Co-factor Driver/Guide
170196 1747 135 121 2^3
171018 1874 125 110 2^3 * 5 * 7
363270 1651 140 132 2^4 * 3
604560 2497 129 118 2^2 * 3^3[/code]Running NFS on the c121 from 170196 right now and looks like NFS on the c110 and the c132 are upcoming, unless I get a lucky ECM hit in the next hour or so. The c118 comes up for ECM testing after the c132 finishes its ECM testing.

154548 is currently at i=742, sz. 116, 2^2

[QUOTE=Andi47;199196]154548 is currently at i=742, sz. 116, 2^2[/QUOTE]

...and it has now caught a 3, currently at i=778 with 2^2 * 3^5 * 719 * c117. I'll keep it anyway.

Status 909624: passed 4000 steps now.

Step 4020, size 131, c108, 2^3 * 3 * 5 quickly growing.

Noticeable:
909624:3962
c110: running 1419 ecm curves at B1=3e6...
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1802488818
Step 1 took 23547ms
Step 2 took 12781ms
********** Factor found in step 2: 4779028487530611874654541981440933386071317166117
[Dec 11 2009, 01:30:08] *** Neat 49-digit factor found: 4779028487530611874654541981440933386071317166117
[Dec 11 2009, 01:30:08] *** prp49 = 4779028487530611874654541981440933386071317166117

[Dec 11 2009, 01:30:08] Cofactor 13127970901614015524168684962328109083848080230515776473746427 (62 digits)

----

Status 859974: Step 6225, Size 134, running C129, 2 * 3

Since there's nothing shown in the first post of the reservation thread for details, here is some info for 736950:

Currently at index 1104 and back up to size 101 with a 2[sup]2[/sup].

After a downswing as low as 79 digits, it picked up a 3 (even 3[sup]2[/sup] for a bit) and made its way back up. The 3 has since left.

Take Care,
Ed

Discussion about post 200000 has been moved to the Lounge.

[URL="http://factordb.com/search.php?se=1&aq=392430&action=last20&fr=&to="]392430[/URL]: i5572, size 123, 2^3*5 guide

Here's what my sequences look like at the end of the year:[code]12/30/09
Seq Index Size Co-factor Driver/Guide
170196 1753 135 100 2^3
171018 1881 125 117 2^3 * 5
363270 1654 141 132 2^5 * 3
604560 2509 131 104 2^2 * 3^2 * 5 * 223^2 (!)[/code]
NFS ~75% on the c132; ECM running on the rest.

[URL="http://factordb.com/search.php?se=1&aq=735966&action=last20&fr=&to="]735966[/URL] : i3579, size 105, 2^2*7 driver
After downdriver run from 120 digits to 63 digits it going upwards with 2^2*3 and 2^4*3 guides and obtained 2^2*7 driver at 100 digit.

Status: 859974 Index 6244
Size 135, C132 (2*3^2)
Now it gets quite hard. I expect about 1 week (compared to second largest calculation: 121 hours for a C129)

The poly seems also not that good: 5.86e-11 (compared to 4.51e-11 as good score; my feeling always say it is optimal if the score is 50% higher than "good score")
How big is the influence of a very good poly?

[url=http://factordb.com/search.php?se=1&aq=675600&action=last20&fr=&to=]675600[/url] has dropped a 3 and become stable at 101 digits. :smile:

740856: i5945, size 125, 2^4*31

[quote=biwema;200628]Status: 859974 Index 6244
Size 135, C132 (2*3^2)
Now it gets quite hard. I expect about 1 week (compared to second largest calculation: 121 hours for a C129)

The poly seems also not that good: 5.86e-11 (compared to 4.51e-11 as good score; my feeling always say it is optimal if the score is 50% higher than "good score")
How big is the influence of a very good poly?[/quote]
I haven't tried quite that large, but gotten close. My gut feeling is that it isn't worth worrying too much about the poly until you get bigger than that where it starts to really matter. Not sure where that cutoff is but I think higher than 132.

sequence 10212 is currently at index 2267, size 138, [COLOR="Red"]2*3*7[/COLOR], currently GNFSing the c133 cofactor.
(note: according to this [URL="http://www.mersenneforum.org/showpost.php?p=203763&postcount=192"]benchmark[/URL], lpbr/a 27 is faster than lpbr/a 28 (both: mfbr/a = 2*lpbr/a) for a c133!)

[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:

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

[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)

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?

[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.

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))

[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.

[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.

[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:

[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.

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

[QUOTE=mdettweiler;204326]Everything that isn't a driver's considered a guide, right?[/QUOTE]

Informally, yes. But for a guide 2^a * b * c * ... to be an "official" guide, then b, c etc. must all be factors of sigma(2^a), i.e. 2^(a+1)-1.

[URL="http://factordb.com/search.php?se=1&aq=76686&action=last20"]76686[/URL]: i5105, size 123, 2^3*3*5*7 driver

[URL="http://factordb.com/search.php?se=1&aq=812280&action=last20"]812280[/URL]: i6155, size 125, 2^2*5*7 driver

[URL="http://factordb.com/search.php?se=1&aq=147192&action=range&fr=4620&to=4630"]147192[/URL]: i4628, size 138, acquired [COLOR=blue]downdriver[/COLOR] :cool:

[quote=Batalov;205229][URL="http://factordb.com/search.php?se=1&aq=147192&action=range&fr=4620&to=4630"]147192[/URL]: i4628, size 138, acquired [COLOR=blue]downdriver[/COLOR] :cool:[/quote]
It was good while it lasted... for 5 iterations, that's cool. Not.
i4633: 2^4*5*7. Tough titty.

I currently have two sequences with down-drivers, 709420 and 721980. 709420 had a maximum of 116 digits and is now down to 104 digits. It lost the down driver briefly, but then regained it. 721980 has a max of 105 digits and just recently acquired the down-driver.

Full Status on Feb 11, 2010:
1) 14994 - Index 1802, 125 Digits, 2^2, c118
2) 23142 - Index 1710, 119 Digits, 2^3, c82
3) 511728 - Index 1412, 131 Digits - 2^2*3^2, c95
4) 511734 - Index 650, 108 Digits - 2^3, c91
5) 527436 - Index 1283, 107 Digits - 2^3, c98
6) 527640 - Index 1129, 102 Digits - 2^2, c94
7) 709420 - Index 1039, 105 Digits, 2*5, c95
8) 721980 - Index 1065, 104 Digits, 2*5, c74
9) 733866 - Index 1419, 130 Digits, 2^7*3^2, c85
10) 748350 - Index 1007, 119 Digits, 2^6, c102
11) 748356 - Index 1088, 119 Digits, 2^3*3^2*5, c111
12) 763668 - Index 1108, 118 Digits, 2^2*3^2*5, c116 - Broken in db
13) 791220 - Index 4306, 109 Digits, 2^4*3*7, c98
14) 803236 - Index 506, 104 Digits, 2^3, c100

[URL="http://factordb.com/search.php?se=1&aq=309480&action=last20"]309480[/URL]: i5346, size 123, 2^3*5 guide

[URL="http://factordb.com/search.php?se=1&aq=130396&action=last20"]130396[/URL]: i5144, size 122, 2*3^3

[URL="http://factordb.com/search.php?se=1&aq=767520&action=last20"]767520[/URL]: i4401, size 118, [COLOR=Blue]2^2*3[/COLOR]

[code]02/17/10
Seq Index Size Co-factor Driver/Guide
20916 632 112 107 [COLOR="Red"]2^6 * 127[/COLOR]
170196 1780 136 117 [COLOR="Black"]2^6 * 7[/COLOR]
171018 1905 129 123 [COLOR="Blue"]2^3 * 5 * 7[/COLOR]
363270 1668 144 129 [COLOR="Blue"]2^7 * 3[/COLOR]
604560 2529 136 133 [COLOR="Blue"]2^2 * 3[/COLOR]
[/code]

[code]675600 2920. 2^2 c103 sz 108[/code]
It has just lost a 3 but has a 50% chance of re-acquiring it on the next line. :sad:
ECM is currently running on the c103.

[QUOTE=10metreh;205909][code]675600 2920. 2^2 c103 sz 108[/code]
It has just lost a 3 but has a 50% chance of re-acquiring it on the next line. :sad:
ECM is currently running on the c103.[/QUOTE]

Thankfully it only picked up a 5: [code]675600 2925. 2^2 * 5 c89 sz 108[/code]

[URL="http://factordb.com/search.php?se=1&aq=59232&action=last20"]59232[/URL]: i5563, size 125, [COLOR=Red]2^3*3^2*5[/COLOR]

:whistle:[code] 1782 . 1123624494157664337475506042875541302776009332702488550098323797500806653418676394020652912369264883360801975200789127920531231902514752 = 2^6 * 17556632721213505273054781919930332855875145823476383595286309335950103959666818656572701755769763802512530862512330123758300498476793
1783 . 1106067861436450832202451260955610969920134186879012166503037488164856549459009575364080210613495119558289444338276797796772931404038086 = 2 * 31 * c134[/code]My first status for this one was from 11/03/08![code] Seq Index Size Co-factor Driver/Guide
170196 1518 102 92 2^4 * 5 * 11[/code]I particularly like those little plateaus in there at 103, 125, and 135 digits....

[QUOTE=schickel;206239]:whistle:[code] 1782 . 1123624494157664337475506042875541302776009332702488550098323797500806653418676394020652912369264883360801975200789127920531231902514752 = 2^6 * 17556632721213505273054781919930332855875145823476383595286309335950103959666818656572701755769763802512530862512330123758300498476793
1783 . 1106067861436450832202451260955610969920134186879012166503037488164856549459009575364080210613495119558289444338276797796772931404038086 = 2 * 31 * c134[/code][/QUOTE]

Nice! :party:

BTW: 10212 has reached 140 digits, still with [COLOR="Red"]2*3[/COLOR]

[URL="http://factordb.com/search.php?se=1&aq=244140&action=last20"]244140[/URL]: i5133, size 124, 2^3*3^2

Now all sequences >5000 indexes are at least at 120 digits!

794610 just acquired downdriver in i3071 at height 122.

After a gnfs-137 sequence 10212 has reached a size of 140, still with the [COLOR="Red"]2*3[/COLOR] driver.


[QUOTE=Batalov;208184]794610 just acquired downdriver in i3071 at height 122.[/QUOTE]

Nice! :party:

[URL="http://factordb.com/search.php?se=1&aq=15390&action=range&fr=799&to=799"]15390[/URL] recently acquired downdriver at height 136.

Nice! :party:

Current status:[code]03/14/10
Seq Index Size Co-factor Driver/Guide
20916 685 122 108 2^6 * 3 * 127
170196 1822 129 117 [COLOR="green"]2 * 7[/COLOR]
171018 1921 131 103 2^3 * 5
363270 1672 145 143 2^7 * 3
604560 2534 136 135 2^2[/code]Finally broke the 130 barrier on 170196. Here's to many more lines!

I'll keep 20916 a little while longer, but since it's picked up the 3, it's heading up pretty fast.....

I've got a low priority NFS job running on 604560 right now and as soon as 170196 resolves either way, I'm going to be running an NFS job on 363270....

Sequence 10212 has reached index 2300 a few days ago and is currently at:

index 2305, size 142, [COLOR="Red"]2*3^2[/COLOR]*c140, The c140 had 904 ECM curves at B1=1e6 and (up to now) ~900@3e6.

[code]c140=78821071490818005708357125967410599676235556965930189693232012070393059400352932620218122808136572098113999958161214144948302153279747171639[/code]

Is there a chance to get rid of the 2*3 driver in this line?

No, not in this line.

Downdriver lost....:cry:[code]03/21/10
Seq Index Size Co-factor Driver/Guide
20916 697 126 118 2^6 * 3 * 5 * 127
[COLOR="Purple"]170196 1849 123 112 2^6[/COLOR]
171018 1928 132 92 2^3 * 5^2
604560 2541 136 117 2^2[/code]That makes 60 lines and 12 digits....

Also, I'm going to be in the corner quietly factoring the c143 from 363270, so I'll be slowing down on everything else.

Isn't this the right way to go?

[code][FONT=Arial Narrow]1653 . c95 = 29658265364433268954543585176078565891716659717792499539468328901171673396150058491542683841240 = 2^3 * 5 * 23 * 971 * 751918507032888740621 * 1284490722897220033122748025840867 * 34374543800510126609594234991817501[/FONT]
[FONT=Arial Narrow]1654 . c95 = 40045895852079220226854077784452971885032299981288927326078210525781325097628781729663042658600 = 2^3 * 5^2 * 200229479260396101134270388922264859425161499906444636630391052628906625488143908648315213293[/FONT]
[FONT=Arial Narrow]1655 . c95 = 53060812004004966800581653064400187747667797475207828707053628946660255754358135791803531523110 = 2 * 5 * 13 * 1531 * 436781028391 * 610367755033791932417918654424270326076200421280322908592687520876544711302607[/FONT][/code]
This is how it should always work. :smile:

[QUOTE=Batalov;209889]This is how it should always work. :smile:[/QUOTE]Aw, man, so [I]that's[/I] where mine went![code] 1937 . c133 = 2^3 * 5 * 3125543719756693 * 25160787117557517851958511494730815328844439407070917504164455168627901314446613033096633228513907553862096076253501
1938 . c133 = 2^5 * 5^2 * 4915071259963565707448878744401836056913855779746466731309625981374515273278394461623352379199049107540250884812303046643146390659
1939 . c133 = 2^2 * 5 * 947 * 1141170631481442426493 * 262197511179335599500572093411291790795827816432609335217994862817000360067700120048227554164241696782324259[/code]:down:

[QUOTE=Andi47;209149]Sequence 10212 has reached index 2300 a few days ago and is currently at:

index 2305, size 142, [COLOR="Red"]2*3^2[/COLOR]*c140, The c140 had 904 ECM curves at B1=1e6 and (up to now) ~900@3e6.

[code]c140=78821071490818005708357125967410599676235556965930189693232012070393059400352932620218122808136572098113999958161214144948302153279747171639[/code]
[/QUOTE]

GNFS of the c140 is in progress...

[URL="http://factordb.com/search.php?se=1&aq=103920&action=range&fr=5437&to="]103920[/URL] acquired downdriver at height 143!
What is the record for highest downdriver hit?

[QUOTE=unconnected;210633][URL="http://factordb.com/search.php?se=1&aq=103920&action=range&fr=5437&to="]103920[/URL] acquired downdriver at height 143!
What is the record for highest downdriver hit?[/QUOTE]

145 digits, by Paul Zimmermann on sequence 660.

Another downdriver - for [URL="http://factordb.com/search.php?se=1&aq=157752&action=range&fr=4456&to=4458"]157752[/URL] (at height 129)

[URL="http://factordb.com/search.php?se=1&aq=652296"]652296[/URL] acquired the downdriver at 100 digits, but lost it at 59. :sad: Shortly after, it picked up 2^2 * 7. At about 70 digits, it lost it and briefly had the downdriver, but went back to 2^2 * 7 again, and still has it at 95 digits. I'll abandon it at 100 digits, unless it becomes more interesting.

[quote=Mini-Geek;210808][URL="http://factordb.com/search.php?se=1&aq=652296"]652296[/URL] ... went back to 2^2 * 7 again, and still has it at 95 digits. I'll abandon it at 100 digits, unless it becomes more interesting.[/quote]
At 101 digits it switched from 2^2 * 7^2 to 2^5 * 7, so it's now driverless again. Continuing...