[URL="http://factordb.com/search.php?se=1&aq=652296"]652296[/URL] is now at 114 digits with 2^2 * 3^2 and a GNFS-ready c110. Getting too big for me, and I've already put so much time into it. I'm releasing it now. Maybe someone else will want to pick it up. :smile:

status
 

I'm running eight sequences in Christophe Clavier's range; not quite sure what termination condition I use, it's something like 'hard C150' but I've gone past that a couple of times.

[code]
3270 i581 155 2^5*3*7
3678 i2904 143 2^2*7
4380 i2158 141 2^2 (persistent 5)
5748 i1313 149 2^2*3*5*7 (also ouch)
6822 i4037 146 2^4*3^3*5*31 (another ouch)
8184 i1649 154 2^3*3*5
8352 i1598 146 2^2*3*7
9282 i773 140 2^2
9336 i1086 152 2^6*3^2*127
[/code]

[QUOTE=fivemack;211585]
9336 i1086 152 [B]2^6[/B]*3^2*[B]127[/B]
[/QUOTE]

*very* ouch.

10212 is currently at step 2309 with 2*57 (stuck on the DB, the DB doesn't split the 57 into 3*19 :jail:)

[quote=Andi47;211698]10212 is currently at step 2309 with 2*57 (stuck on the DB, the DB doesn't split the 57 into 3*19 :jail:)[/quote]
This is a [I]new[/I] downdriver! :max:

[QUOTE=Batalov;211701]This is a [I]new[/I] downdriver! :max:[/QUOTE]

It's a stealth 2*3 driver.

[code]04/17/10
Seq Index Size Co-factor Driver/Guide
[COLOR="Green"]171018 1987 127 119 2[/COLOR]
363270 1680 147 140 2^5 * 3
604560 2563 134 124 2^2[/code]I'll be concentrating on 171018 until it resolves.....

[URL="http://factordb.com/search.php?se=1&aq=15390&action=last20"]15390[/URL] acquired boring 2*3 driver after nice downdriver run from 136 to 60 digits for 400 indexes. Anyway I'll push it to 110 digits.

Lost the downdriver
 

From 171018:[code] 2081 . c110 = 2 * 17362462655462429099716292080924570786111876160674014548306518255201658121158240285386753011210426023180658089
2082 . c110 = 2^2 * 32611 * 57737 * 2305329472610808330201175577204180497043890360304963044777588370613011131514829133055570434961732689[/code]

[code]05/09/10
Seq Index Size Co-factor Driver/Guide
171018 2153 113 97 2^5 * 3^3
363270 1681 147 114 2^5 * 3
604560 2569 134 103 2^2 * 3^2 * 5^2[/code]I may pull the trigger on these when I hit 150 digits....363270 is getting a little big to handle myself; and unfortunately 171018 has decided to step on the accelerator.

I had a sequence get up to index 5141 ([URL="http://factorization.ath.cx/search.php?se=1&aq=791220&action=last20&fr=&to="]791220[/URL]). It unfortunately has one of the worst drivers and is unlikely to escape. Otherwise things have been rather dull. Here is a complete list. I will likely retire the 2^3*3 sequences at 120 digits.

Status on May 21, 2010:
1) 14994 - Index 1827, 123 Digits, 2^5, c107
2) 26820 - Index 2271, 115 Digits, 2^2*3, c113
3) 32280 - Index 2265, 121 Digits, 2^2, c105
4) 39012 - Index 1450, 123 Digits, 2^7, c110
5) 39060 - Index 1051, 128 Digits, 2^5*3^4, c115
6) 511728 - Index 1428, 132 Digits - 2^2*3, c123
7) 511734 - Index 713, 110 Digits - 2^4, c80
8) 527436 - Index 1345, 110 Digits - 2^13*3^2, c105
9) 527640 - Index 1192, 98 Digits - 2^4*3, c78 - Broken in db
10) 709420 - Index 2067, 108 Digits, 2*3*3, c98
11) 733866 - Index 1441, 131 Digits, 2^4*3^2, c105
12) 748350 - Index 1032, 121 Digits, 2^4, c90
13) 748356 - Index 1104, 125 Digits, 2^5*3^2*5, c110
14) 763668 - Index 1156, 117 Digits, 2^3*7, c95 - Broken in db at 963
15) 791220 - Index 5141, 115 Digits, 2^2*3^3*5*7, c99
16) 803236 - Index 543, 116 Digits, 2^3*3, c106
17) 809352 - Index 523, 124 Digits, 2^2, c120
18) 816792 - Index 1023, 109 Digits, 2^2*5, c89
19) 823134 - Index 1735, 108 Digits, 2^4, c105
20) 827880 - Index 1177, 121 Digits, 2^3*5*7, c101
21) 837480 - Index 1313, 117 Digits, 2^2*3^3, c102

Ugh....[code]05/09/10
Seq Index Size Co-factor Driver/Guide
171018 2224 135 114 2^5 * 3
363270 1692 150 99 2^5 * 3
604560 2579 136 122 2^2 * 3^3[/code]Can't seem to get rid of 2^5 * 3 . . . . .

Since I haven't provided an update for quite some time (if ever) for these particular numbers and there are no data shown:

[URL="http://factordb.com/search.php?se=1&aq=216840&action=last20&fr=0&to=0"]216840[/URL]: size 119, i4926, 2 * 3[sup]2[/sup] * 7 * 2557 * 2587163 * c107
- This number is still shown in the "Released Sequences" thread, which may not matter, since it is also shown as reserved by me in the "Aliquot sequence reservations" thread. I might release it soon, anyway, since it really hasn't been that interesting. It has simply kept up a slow to moderate climbing pace, mostly (all, but once, I think) taking between 10 to 20 iterations per digit.

[URL="http://factordb.com/search.php?se=1&aq=257184&action=last20&fr=&to="]257184[/URL]: size 120, i1643, 2[sup]2[/sup] * c119
- This one has been at least a little more interesting, with a few downswings. It's currently on a run of powers of 2, drifting up and down slightly. I'll probably keep it until it reaches 125 digits. Right now it's in hour 26 of ECM on the c119.

Several big NFS jobs coming up:[code]06/10/10
Seq Index Size Co-factor Driver/Guide
171018 2233 137 136 2^5 * 3
363270 1699 151 137 2^5 * 3
604560 2594 137 135 2^2[/code]All three survived preliminary ECM testing... Hopefully the guide on 171018 might change.

740856 :5779 has 97 digits. will take it to 110 digits once i'm done with 49764

[QUOTE=firejuggler;221473]740856 :5779 has 97 digits. will take it to 110 digits once i'm done with 49764[/QUOTE]

In post 537 of this thread, unconnected reported that it was at line 5945 with 125 digits. He hadn't reserved it. Before that, fivemack reported (post 425 of Subproject #3) that a mystery worker had worked on it. Oddly, it is only at 97 digits in the DB. Please don't work on it. I'll check it out.

740856 is broken in the database at line 5692

Line 5693 should be 1052741490055231522388450724579128838383603351221563896015509204671258174191004784

If you put that into the db, you get up to the 125-digit number reported by unconnected, at iteration 252 = 5944 of 740856.

line 5692 contain a 155 wich is considered as composite even with the 5*31 factorisation, wich make the line 5693 false and mess with the DB

Ah. It is very irritating when people work on false sequences created by DB errors causing people to think there isn't an error.

[QUOTE=10metreh;221490]Ah. It is very irritating when people work on false sequences created by DB errors causing people to think there isn't an error.[/QUOTE]

Syd hasn't been active since 9th of [I]June[/I] (sic!), errors in the DB seem to accumulate....

I think it's time to save the sequences to .elf file (if someone has time and ressources to do so)... :cry:

status three months on
 

Running about ten series in Christophe Clavier's range: deltas since three months ago

[code]
new 1920 2237 146 2^2*7
+25 3270 606 163 2^5*3*5^2*7
+79 3678 2983 146 2^2*7
+67 4380 2225 154 2^7*7
old 4800 1475 160 2^4*3^3*5*31
+55 5748 1368 160 2^2*7^4
new 6832 1271 137 2*3
new 7392 913 135 2*3
+49 8352 1647 154 2^2*3*7
+67 9282 840 142 2^4
new 9436 981 136 2*3
[/code]

It's been a while since my last update:[code]07/29/10
Seq Index Size Co-factor Driver/Guide
363270 1718 158 150 2^9 * 3 * 13
604560 2617 143 110 2^3 * 3^6[/code]Since I am actually making progress, I may be able to keep 363270 until at least 160 digits.

latest line of alq10212 (this sequence is bitten by the "57" bug in the DB):

[code] 2312 . 4214045863896224948032578298997119927454806592579697153663106442136228287558911255535782826434708675299377654178769122406292739933583896943674 = 2 * 3 * 11969 * 22777356388305097 * 225057251464289516237168007585440075460161975149353675827 * 11447056142322628811712124707157806389447603409071779609309734589
[/code]

next line ist 2*3*c141

650472: i3614, size 126, [COLOR=Red]2^3*3^2*5[/COLOR]

[QUOTE=Andi47;225992]latest line of alq10212 (this sequence is bitten by the "57" bug in the DB):

[code] 2312 . 4214045863896224948032578298997119927454806592579697153663106442136228287558911255535782826434708675299377654178769122406292739933583896943674 = 2 * 3 * 11969 * 22777356388305097 * 225057251464289516237168007585440075460161975149353675827 * 11447056142322628811712124707157806389447603409071779609309734589
[/code]

next line ist 2*3*c141[/QUOTE]

The [url="http://factordb.com/new/sequences.php?se=1&eff=2&aq=10212&action=last20&fr=0&to=100"]new[/url] data base shows it corrected.

status update on sequence [URL="http://factordb.com/new/sequences.php?se=1&eff=2&aq=68067066&action=last20&fr=0&to=100"]68067066[/URL] went up to 109 digits, hit the downdriver (lot of up/down since the begining)

ran 1500 iteration since last time. got down to 20 digits, now on the rise again [URL="http://factordb.com/new/sequences.php?se=1&eff=3&aq=68067066&action=last20&fr=0&to=100"]68067066[/URL]

Approaching record territory....
 

[code]08/28/10
Seq Index Size Co-factor Driver/Guide
363270 1729 161 140 2^5 * 3
604560 2636 148 140 2^6 * 3[/code]Unfortunately, can't seem to kick the 3 on either one.....

Doubly unfortunate: looks like back-to-back c140s in my future.....

[URL="http://factordb.com/new/sequences.php?se=1&eff=3&aq=68067066&action=last20&fr=0&to=100"]68067066[/URL] is now 118 digits at iteration 5169, on the rise for the last 500 iterations. 2^2*7^2 *577 driver atm

sequence 10212 is currently at i=2366, size 147, [COLOR="Red"]2*3[/COLOR]*5*c145; gnfs-145 in progress

was on a trip for the last 15 days... [url=http://factordb.com/sequences.php?se=1&eff=2&aq=68067066&action=last20&fr=0&to=100]68067066[/url] is at iteration 5242, 119 digits. It has reached 120 digits and is on a downward slope now.
68067066:5242
C119=2^3*13*c117

553014 has defeated me (for now). I picked it up at 108 digits; it rose to 110 before catching the downdriver and riding it all the way down to 57 digits, which was pretty exciting. But then it caught 2^2*7, and except for a couple promising blips it has switched from one driver to another every since. I'm leaving it after 759 terms at i1870 (size 140) = 2^4 · 3^2 · 5 · 11 · 31 · c135.

I'm also releasing 628140. It decreased briefly but after adding 364 terms, it's at i2229 (size 141) = 2^2 * 7 * c140.

680670 has been a real rollercoaster. i picked it at i595. i'm releasing it at i5294

-up to 54 digits (i615) down to 9 digits (i860).
-up to 46 then down to 39
-up to 59 down to 42 digits...
-up to 53 down to 38
-up to 63 down to 38
-up to 87 down to 74
-up to 86 down to 68
-up to 106 down to 78
-up to 91 down to 22
-up to 68 down to 44
and now its going up, 121 digits free for anyone to take. there might be a downdriver sooon (guide is 2^4*11)

[QUOTE=firejuggler;233694]680670 has been a real rollercoaster. i picked it at i595. i'm releasing it at i5294

-up to 54 digits (i615) down to 9 digits (i860).
-up to 46 then down to 39
-up to 59 down to 42 digits...
-up to 53 down to 38
-up to 63 down to 38
-up to 87 down to 74
-up to 86 down to 68
-up to 106 down to 78
-up to 91 down to 22
-up to 68 down to 44
and now its going up, 121 digits free for anyone to take. there might be a downdriver sooon (guide is 2^4*11)[/QUOTE]

seems it is not yet in the factor DB.

oops.. it is 680670[B]66
[/B]MY MISTAKE

I randomly picked up 1000336, just because it was only at 86 digits in the DB, and was surprised to find that after adding ~4000 terms it terminated (actually it merged with 7596 a while before that). That's my first termination -- fun!

[QUOTE=bchaffin;234589]I randomly picked up 1000336, just because it was only at 86 digits in the DB, and was surprised to find that after adding ~4000 terms it terminated (actually it merged with 7596 a while before that). That's my first termination -- fun![/QUOTE]

Congrats, I've added it to the Sequence terminations thread.

[URL="http://factordb.com/sequences.php?se=1&eff=2&aq=309480&action=last20"]309480[/URL] acquired the downdriver at height 128.

[URL="http://www.factordb.com/sequences.php?se=1&eff=2&aq=147192&action=range&fr=4740&to=4750"]147192[/URL] acquired a downdriver at height 140.

(Last time I had a downdriver at height 140, the downdriver run was something like 5 iterations, so I am not very excited. :no:)

[QUOTE=Batalov;235158][URL="http://www.factordb.com/sequences.php?se=1&eff=2&aq=147192&action=range&fr=4740&to=4750"]147192[/URL] acquired a downdriver at height 140.

(Last time I had a downdriver at height 140, the downdriver run was something like 5 iterations, so I am not very excited. :no:)[/QUOTE]Hey, keep the faith, man, maybe this time will work out better....

What was the other one? Clifford has you marked down with 138 on this sequence in Febrary of this year.

Right, now I remembered: must have been the [URL="http://mersenneforum.org/showpost.php?p=205308&postcount=555"]same one[/URL].

Well, at least it is now higher than 138 (which I though was also a 140). I am helping it now with msieve_GPU (on a RMA-swapped card; serves as a test, too).

[QUOTE=Batalov;235158](Last time I had a downdriver at height 140, the downdriver run was something like 5 iterations, so I am not very excited. :no:)[/QUOTE]

If I'm not mistaken, you have reason to be excited, because you can expect this one to last much longer. For the downdriver to break, the line must be 2*p with p=1 mod 4. So the chances of it breaking on any given line should be about the chance of the cofactor being prime and 1 mod 4. The chance of a random 140-digit number being prime is about 1/log(10^140), but it's odd which doubles the chance of being prime, but it must be 1 mod 4 which halves it back to 1/log(10^140). log(10^140) is about 332. By 130 digits, this is down to about 300. From very rough, in-my-head calculations, (and dependent on how much the sequence goes down - or up - during the downdriver run) I'd say there's only a 50% chance that it will stop within 200 indexes. It becomes more likely to break as it gets smaller and smaller.

68067066 is at i5397 114 digits, 2*11 (downdriver)

[URL="http://factordb.com/sequences.php?se=1&eff=2&aq=850956&action=last20&fr=0&to=100"]850956[/URL] is riding the second downdriver after the top of 126 digits. Fingers crossed.

[URL="http://factordb.com/sequences.php?se=1&aq=789816"]789816[/URL] just acquired the downdriver at a height of 104! (i1201) :fusion: Currently height 103, i1205, finishing a c91 GNFS.

[QUOTE=Mini-Geek;241218][URL="http://factordb.com/sequences.php?se=1&aq=789816"]789816[/URL] just acquired the downdriver at a height of 104! (i1201) :fusion: Currently height 103, i1205, finishing a c91 GNFS.[/QUOTE]

It lost the downdriver at i1331, bottomed out at 75 digits, and then acquired 2^2 * 7 at i1447. Current size is 79, i1514.

68067066 is now at i6003, 2^2*7 driver and at 116 digits
since the last update, it went down to 74 digits (i5776) and been on the up side since then
[URL="http://factordb.com/aliquot.php?type=1&aq=68067066&big=1"]large graph[/URL]

[url=http://factordb.com/sequences.php?se=1&eff=2&aq=256280&action=last20&fr=0&to=100]256280[/url] picked up a downdriver at 102 digits, line 1230, this morning, eventually went down to 46 digits, got driven back up by a succession of drivers and guides and has now become stable again at line 1783 having reached 100 digits. :smile:

[QUOTE=10metreh;242907][url=http://factordb.com/sequences.php?se=1&eff=2&aq=256280&action=last20&fr=0&to=100]256280[/url] picked up a downdriver at 102 digits, line 1230, this morning, eventually went down to 46 digits, got driven back up by a succession of drivers and guides and has now become stable again at line 1783 having reached 100 digits. :smile:[/QUOTE]That is the [I]flattest[/I] plateau I think I've seen....

[QUOTE=schickel;242923]That is the [I]flattest[/I] plateau I think I've seen....[/QUOTE]

Yes, quite flat! From i1207 to i1230, (coincidentally, all indices(?) where it was 102 digits) it never went outside of 1299... to 1945... (1945/1299 ~ 1.5, so the largest was ~50% larger than the smallest)

[QUOTE=Mini-Geek;242928]From i1207 to i1230, (coincidentally, all indices(?) where it was 102 digits)[/QUOTE]

Yes, that was all indices where it was 102 digits unless you're counting lines 1804-1810 (which weren't in the DB when schickel posted) much later.
On a similar note, what's the longest you've seen a sequence stay on one digit level? I think I've seen one or two above 50 lines; are there any (apart from cycles) that reach 100 lines?

[QUOTE=schickel;242923]That is the [I]flattest[/I] plateau I think I've seen....[/QUOTE]

That probably isn't too rare... this one isn't as long or flat, but it's on the same sequence, at about the same height:

I've seen 75 lines at height 41 and 74 lines at height 99 (for 147192).

...92 lines in [URL="http://factordb.com/aliquot.php?type=1&aq=754432&big=1"]754432[/URL] (i431-522)

645428
 

schickel pointed this sequence out to me because someone (probably the DB workers) had left it with a downdriver at 101 digits on line 1174. I took it on, and although the original downdriver was lost at 56 digits, more downdrivers eventually dropped it to the 7-digit low of 1639820. The sequence beginning with this number was already at 110 digits in the DB. That sequence is now a side-sequence of 645428. I've added a few lines from there, and the [url=http://factordb.com/sequences.php?se=1&eff=2&aq=645428&action=last20&fr=0&to=100]sequence[/url] is now at 112 digits, line 2747, with 2^3 * 3 * 5^2 :ouch1:. I'll release it if ECM doesn't split the current c104.

[QUOTE=10metreh;243506]schickel pointed this sequence out to me because someone (probably the DB workers) had left it with a downdriver at 101 digits on line 1174. I took it on, and although the original downdriver was lost at 56 digits, more downdrivers eventually dropped it to the 7-digit low of 1639820. The sequence beginning with this number was already at 110 digits in the DB. That sequence is now a side-sequence of 645428. I've added a few lines from there, and the [URL="http://factordb.com/sequences.php?se=1&eff=2&aq=645428&action=last20&fr=0&to=100"]sequence[/URL] is now at 112 digits, line 2747, with 2^3 * 3 * 5^2 :ouch1:. I'll release it if ECM doesn't split the current c104.[/QUOTE]

Cool! According to my merge-finder script:

645428.1959 merges with 354204.83

That's at the value 3279634, which is just one step before the low point of that dip. So you do get to cross one more off the <1M list before the end of the year. :w00t:

[QUOTE=bchaffin;243640]Cool! According to my merge-finder script:

645428.1959 merges with 354204.83

That's at the value 3279634, which is just one step before the low point of that dip. So you do get to cross one more off the <1M list before the end of the year. :w00t:[/QUOTE]

So there was a merge after all... :party:
That was one last Christmas present, unless I can pack another one in within the next few days...

[QUOTE=10metreh;243653]That was one last Christmas present, unless I can pack another one in within the next few days...[/QUOTE]

Maybe there is more to come... I just got this at 107 digits on 256280:
[code] 1974 . 21037754940498427942624392918233973204101228471848447599267870059567388917844607700697318980688774527804432 = 2^4 * 1314859683781151746414024557389623325256326779490527974954241878722961807365287981293582436293048407987777
1975 . 19722895256717276196210368360844349878844901692357919624313628180844427110479319719403736544395726119816686 = 2 * 11 * 4019 * 3961206664829299 * 199431987471169684771433 * 204082536944734887611679627413 * 1383572172483155992748816490567137[/code]
:bounce:

In fact, I had been very unlucky not to pick up the downdriver on this one earlier:

[code] 1834 . 236749877352116266581615569218820196281636248197640489319765027979236215761685398562619064151498994704736 = 2^5 * 7398433667253633330675486538088131133801132756176265291242657124351131742552668705081845754734343584523
1835 . 229351443684862633250940082680732065147835115441464224028522370854885084019132729857537218396764651120276 = 2^2 * 67579 * 1676255178977 * 309278345917625228473205729681 * 1636590700948205644295803698222197232816751226377457485903

1890 . 617208189697624143996644852182707471794080071554702009405342463597590167422133156121668720794918176236 = 2^2 * 154302047424406035999161213045676867948520017888675502351335615899397541855533289030417180198729544059
1891 . 462906142273218107997483639137030603845560053666026507054006847698192625566599867091251540596188632184 = 2^3 * 1792209907 * 14101785431417 * 44494809392531 * 51455361038818319824216255199363663491213606561716466338500317007

1902 . 561216692824348356741767996200035202078501541348394171017801044071353690784410484493155700952701702016 = 2^7 * 4384505412690221537045062470312775016238293291784329461076570656807450709253206910102778913692982047
1903 . 556832187411658135204722933729722427062263248056609841556724473414546240075157277583052922039008720224 = 2^5 * 19 * 61 * 103813 * 119557 * 5357063 * 22652111354168407 * 24640669829085271002201225687269 * 404553735525231672373809698265857

1910 . 362809776219272383878828747538312681275150386603942194234381296365587331849598700486617961389924480632 = 2^3 * 45351222027409047984853593442289085159393798325492774279297662045698416481199837560827245173740560079
1911 . 317458554191863335893975154096023596115756588278449419955083634319888915368398862925790716216183920568 = 2^3 * 13 * 23 * 1051 * 106129 * 2745151 * 3665027869 * 12046570526913583154273581 * 9817075326002381365851139440267190949676029429209

1921 . 255649714706267744816749613344962858160123109643050279046329072273435705209920754264936891606906557688 = 2^3 * 31956214338283468102093701668120357270015388705381284880791134034179463151240094283117111450863319711
1922 . 223693500367984276714655911676842500890107720937668994165537938239256242058680659981819780156043237992 = 2^3 * 3607 * 44843 * 202564138140673 * 1071674872317289711 * 796337135262217404642405850741265377628585714657782154133983[/code]

[QUOTE=10metreh;243983]Maybe there is more to come... I just got this at 107 digits on 256280:[/quote]

This one dropped to 37 digits, and it hasn't got a driver now, having gone back up to 97 digits:

[QUOTE=10metreh;244353]This one dropped to 37 digits, and it hasn't got a driver now, having gone back up to 97 digits:[/QUOTE]

:toot: Got another downdriver at 110 digits:

[code] 3062 . 24343710338940454926732350823004206783225758581284166566515031831496805159563200174116718084797552160269764936 = 2^3 * 3042963792367556865841543852875525847903219822660520820814378978937100644945400021764589760599694020033720617
3063 . 21300746546572898060890806970128680935322538758623645745700652852559704514617800152352128324197858140236044334 = 2 * 13 * 1889 * 2029 * 23197 * 1989878069 * 64708767625376401 * 83742166674627969251833 * 854558624879729035491261233046578458967604460231[/code]

68067066 has attained i6200... 137 digits

it has just lost his 2^2*7 driver, now 2^3 * 3^2 * 7 guide.

[code]
6195 . = 2^2 * 3^2 * 7 * 12573751 * 544907876773095658387 * 885141253881017344229 * 2228038960957552271885347802333 * 421308239620485747958715449489081960842749793945155519
6196 . = 2^2 * 3^2 * 7^2 * 2936325627365956118917554554021 * 158770982582556061783080249935947 * 3295006945449978675775456685877297275977656277372650002186699154305381
6197 . = 2^2 * 3^2 * 7^2 * 2974735969298214127726449690817 * 1002055038160966376779624033745568249233505249403916766100404024961839710329687271129739791254612857617
6198 . = 2^3 * 3^2 * 7 * 29 * 313 * 719 * 23696221 * 130016921 * 119195267323514764289 * 443454672864315510886447 * 19048374519633607991576200083598395231543575998042671683025486775007
6199 . = 2^3 * 3^2 * 7 * 281656549 * 4963531551883669276287146027 * 902573162007273970114475798915729503 * 35565096014609149730649444037132300275860811703380113259647633
6200 . = 2^3 * 3^2 * 7 * 251 * 64553 * 5803102935571001671242737850729760479728198441129309109807411609770796394451811649777234797088036348077877520326346039973894941
[/code]
is it considered as an escape?

[QUOTE=firejuggler;244724]is it considered as an escape?[/QUOTE]

Yes, but it does have the 2^3 * 3 driver (which is the easiest to escape from).

i have the feeling that it will get back to 2^2*7

[url]http://factordb.com/aliquot.php?type=1&aq=509466&big=1[/url] (graph)
[url]http://factordb.com/sequences.php?se=1&aq=509466[/url] (most recent)
[url]http://factordb.com/sequences.php?se=1&eff=2&aq=509466&action=range&fr=1440&to=3000[/url] (from where I reserved to current)
I picked up 509466 at i1442 with 104 digits and the downdriver. It has had [I]very[/I] frequent driver changes, bottoming out at 35 digits at i1834. It included at least 6 acquisitions of the downdriver, (including the one just before I reserved it) resulting in 3 large (over 10 digit) drops. It's had a large variety of drivers/guides/driverless-factors, just about every kind except perfect numbers. It even had 2^3 * 3 * 5 for a short time, but luckily it lost that! It is currently driverless with 2^4 * 3 * 5 at size 103. I'll keep it until it gets too large for me or gets a driver. Hopefully there will be one last downdriver run resulting in a termination. :smile:

20076 acquired the downdriver at 130 digits!

[CODE] 2274 . 3004277989726803684959937786302832201019542702598114261494383410787641325406163261722334344652769106061676582488828835340285307968 = 2^6 * 3^2 * 5215760398831256397499891990109083682325594969788392815094415643728543967719033440490163792799946364690410733487550061354661993
2275 . 5606942428743600627312383889367264958500014592522522276226496817008184765297960948526926077259942342042191538499116315956261644126 = 2 * 11 * 8839 * 346337 * 29185865134570681217 * 5011464867331077541536581 * 569199002061716306071450282792104857681414072819855524439105594980001889103
[/CODE]It's kept it for 21 terms so far, and has decreased to 127 digits.

Roller coaster ride (but no end in sight...)
 

712956 had quite a roller coaster ride....unfortunately 2^5 * 3 * 7 has taken over.

[QUOTE=Mini-Geek;244932][url]http://factordb.com/aliquot.php?type=1&aq=509466&big=1[/url] (graph)
[url]http://factordb.com/sequences.php?se=1&aq=509466[/url] (most recent)
[url]http://factordb.com/sequences.php?se=1&eff=2&aq=509466&action=range&fr=1440&to=3000[/url] (from where I reserved to current)
... It included at least [B]6 acquisitions of the downdriver[/B], (including the one just before I reserved it) resulting in 3 large (over 10 digit) drops.[/QUOTE]

Make that 7. At i2836, just after peaking at size 108, it acquired the downdriver again. Currently at 100 digits and dropping. This sequence is quite the roller coaster!

[URL="http://www.factordb.com/aliquot.php?type=1&aq=807180&big=1"]807180[/URL] lost the downdriver runs after reaching 48 digits and bouncing around some. I'll take it back over 100 digits (since it was from that subproject) before releasing it.

[QUOTE=Mini-Geek;245689]Make that 7. At i2836, just after peaking at size 108, it acquired the downdriver again. Currently at 100 digits and dropping. This sequence is quite the roller coaster![/QUOTE]

[URL="http://factordb.com/sequences.php?se=1&aq=509466"]That[/URL] bottomed out at 74 digits. A little while later, it went to the 2^2 * 7 driver. It went straight from that to 2 * 3, which it's still got. 2 * 3^4 * c99 (full ECM). I'm releasing it.

Finally!
 

[quote=msieve]Thu Jan 13 00:34:59 2011 commencing Lanczos iteration (2 threads)
Thu Jan 13 00:34:59 2011 memory use: 1682.5 MB
Thu Jan 13 00:36:20 2011 linear algebra at 0.0%, ETA 151h20m[/quote]Now only 6 more days before my factors.....I can hardly wait!

:popcorn:

[QUOTE=schickel;246057]Now only 6 more days before my factors.....I can hardly wait!

:popcorn:[/QUOTE]

from which number / sequence is this one?

[QUOTE=Andi47;246067]from which number / sequence is this one?[/QUOTE]You're right....I forgot to specify. This is a c155 from 363270:i1730. I think I picked slightly bad parameters for this one; I've been sieving since the first week of December.

Not a specific update, but I just uploaded an updated summary file for all the sequences below 1M. Available [URL="ftp://ftp.frontiernet.net/pub/users/aliquot/public_ftp/AllSeq.zip"]here[/URL].

[QUOTE=schickel;246057]Now only 6 more days before my factors.....I can hardly wait!

:popcorn:[/QUOTE]msieve came really close on the ETA:[code]BLanczosTime: 539162
elapsed time 149:46:04[/code]And the final result:[code]prp58 factor: 3471537060073909445732093208261232664488685526359035900511
prp97 factor: 3774567531904111499906361116342583365390634599112560322236069538347385670533260739954094206097627
elapsed time 02:07:34[/code]Factorization found on the second dependency. The first failed to converge, but I'm ran v1.44 on this job. Would it be worth rerunning with a later version to see if it fails too?

20076 rode the downdriver from 130 to 60 digits, and again from 123 to 99. I'm releasing it at 136 digits -- no driver, but it has 2^2*3.

259704 decreased from 109 to 98, then from 127 all the way to 44, then from 64 down to 36, losing and re-acquiring the downdriver many times. Unfortunately that was the bottom, and now I'm releasing it at 132 digits.

Nice split 933436 i5540: c140=2^4*p70*p70

Sequence 980820:
i448: c112=2^2*23*[B]p55[/B]*[B]p56[/B]
i449: c112=2^2*[B]p56[/B]*[B]p56[/B]

[ From the Project 400 [URL="http://www.mersenneforum.org/showthread.php?t=14487"]thread[/URL]: ][QUOTE=smh;252545]606844 301. sz 104 is now at 393. sz 138

I'll have to leave the last few steps to someone else[/QUOTE]
[QUOTE=schickel;252551]I don't blame you. Adding a digit every 2.7 lines is really harsh. It's starting to look like there are some sequences that might not make it to 500 lines.....

[SIZE="1"]380084 is probably headed for the same fate.[/size][/QUOTE]:party:

[code]349 . c127 = 2^3 * 3^2 * 5 * 17 * 1559 * 43395347 * 2298548843 * 3097327847 * 635125438236943313925271989757082443450449221967136097953962911775710642471106209803032658147
350 . c127 = 2^3 * 3^2 * 5 * 12706628197434966603317873024295403184167765900803117941114949357305886261908885123525359196673301588387705509597161360456413
351 . c128 = 2^2 * 3^2 * 5^2 * 11 * 109 * 1478882389 * 363799221292824940250137 * 17727938905842110813476818525368399201012562448441511481329316457363164552859319425390439[/code]I guess there's still some legs left here....especially if I can drop the exponent on the '3'.

[QUOTE=schickel;252764][ From the Project 400 [URL="http://www.mersenneforum.org/showthread.php?t=14487"]thread[/URL]: ]
:party:

[code]349 . c127 = 2^3 * 3^2 * 5 * 17 * 1559 * 43395347 * 2298548843 * 3097327847 * 635125438236943313925271989757082443450449221967136097953962911775710642471106209803032658147
350 . c127 = 2^3 * 3^2 * 5 * 12706628197434966603317873024295403184167765900803117941114949357305886261908885123525359196673301588387705509597161360456413
351 . c128 = 2^2 * 3^2 * 5^2 * 11 * 109 * 1478882389 * 363799221292824940250137 * 17727938905842110813476818525368399201012562448441511481329316457363164552859319425390439[/code]I guess there's still some legs left here....especially if I can drop the exponent on the '3'.[/QUOTE]Well, hell, I get just what I asked for and I'm [I]still[/I] not happy:[code]361 . c131 = 2^2 * 3^4 * 375209 * 816925381 * 123183821879413505958696097974640632000800516037734775271511334931417825346796844722603107514691685854588124576509
362 . c131 = 2^2 * 3^2 * 548542617115515766329519800750987923569649925986880889784275533144866558184796089239508465604004811089320232777242772529523546701
363 . c131 = 2 * 3 * 47 * 467 * 310741 * 121869866731935185737 * 2329481100810781164524423902634323897619541885029 * 2596886616989739333285373899123868159428396638125013[/code]:cry:

Luckily :ermm: the growth will slow down if the exponent of 3 doesn't [I]increase[/I].

[URL="http://factordb.com/sequences.php?se=1&eff=2&aq=763176&action=range&fr=2370&to=2400"]763176[/URL] got a downdriver at height 140. Let's see where this wormhole goes...

[QUOTE=schickel;253890]Releasing 733776.

i1274 c111, 2^2 * 3* 5 * 7. NFS-ready c106.[/QUOTE]Caught a nice little downdriver run there; it made it down to 49 digits....

My workers have caught several nice runs in unreserved sequences over the last week. The best was 789534, which added nearly 3000 terms and dipped down to about 26 digits.

Graphs of my favorites attached; in each case the new progress is from the first 100-digit peak to the end.

Missed 647832, which was a good one: over 2000 terms and down below 30 digits. That downward zigzag looked so promising!

[QUOTE=bchaffin;254751]My workers have caught several nice runs in unreserved sequences over the last week. The best was 789534, which added nearly 3000 terms and dipped down to about 26 digits.[/QUOTE]

[QUOTE=bchaffin;254752]Missed 647832, which was a good one: over 2000 terms and down below 30 digits. That downward zigzag looked so promising![/QUOTE]It's really amazing how many downdrivers have turned up in the last 4 months; and seemingly most within 1 or 2 digits of hitting the 100-digit mark (first time or otherwise). I wan't keeping a count, but I passed on at least 1/2 dozen to others here in the forum, pursued at least that many myself, then there are the ones you found, and still others found by gd_barnes.

It looks like the ongoing projects to raise everything to 110-digits will continue to pay off, along with continued probing of the status of the other OE sequences. I tend to run through everything on a weekly basis (since I have a simple-minded program that just blindly downloads everything, I tend to not want to hit the DB too much too often....)

Oh man, 256200 was so close -- down to 12 digits!

Another DB gem
 

397080 had a downdriver run from 104 to 99:

And another.....
 

277200 caught a series of runs from 108 down to 27; currently headed back up with 2^3 * 3.....

More info on the spate of downdrivers
 

Hey, it turns out that bchaffin has some cores running jobs concentrating on aliquot sequence composites in the DB. So in addition to the work by smh, Ben's workers added 8 lines, stopping just 3 lines short of capturing the downdriver. In fact, if you find a wild downdriver in the DB, it's probably his workers that generated it. Nice work, Ben!

Yep, hence my absence from 4788 and other subprojects. 558348 was another nice run from last night: added 1400 terms, down to 20 digits.

[FONT=Verdana][SIZE=2]648788 was another nice up-and-down run from a couple days ago.[/SIZE][/FONT]

[FONT=Verdana][SIZE=2]My workers have finished all the c100s from the unreserved sequences, and are starting on the c101s (there are about 2500 of them). Collectively we're making some impressive progress: in the last 10-11 days, roughly 94000 terms have been added to the sequences <1M. At that rate there are sure to be more terminations on the horizon, right?[/SIZE][/FONT]

162126 is still growing with the 2^3 · 3 · 5-driver, no signs it could escape, and it hit an ecm-resistant C173, t50 is done, on the way to t55.

added >2000 indexes to 813912, current status - i3834, size 112, [COLOR=Red]2*3[/COLOR]

436080 gave me quite a ride, nearly 3000 terms and down to 9 digits -- but no merge.

281442 was another amazing run of nearly 3000 terms, just touching 9 digits at the bottom. Again, no merge.

389064 went down to 7 digits!

Just rescanned the sequences <1M and collected some stats. Over the last 4 weeks:
[LIST][*]5125 sequences have seen some progress (55% of the 9271 open)[*]over 230000 terms have been added[LIST][*]biggest gain was 853308, which added 4123 terms[/LIST][*]cumulatively, sequences were extended by over 14700 digits (now there's a meaningless statistic for you)[/LIST]

Another monthly update for the sequences <1M:

- 4179 sequences have been advanced
- over 173600 terms have been added
- biggest gain was in 955296, which added 5645 terms
- most digits added was also 955296, which added 35 digits (104 to 139)
- biggest decrease (aside from 6 terminations) was 1134, which dropped 16 digits

Sequence [URL="http://factordb.com/sequences.php?se=1&eff=2&aq=1966080&action=last20&fr=0&to=100"][B]1966080[/B][/URL] terminates in [B]43[/B].
Had this result been known before itself? (I added it up yesterday).
Below that of 100 digit limit

So does [URL="http://factordb.com/sequences.php?se=1&eff=2&aq=2%5E118*3&action=last20&fr=0&to=100"]3.2[sup]118[/sup][/URL]
as well as [URL="http://factordb.com/sequences.php?se=1&eff=2&aq=9565938&action=last20&fr=0&to=100"]9565938[/URL]
all these sequences frequently terminate in 43

By the way, I pushed up all these following sequences
repeatedly beyond that 90 digit size again
some more than over 1000 iterations, even,
by now itself
[URL="http://factordb.com/sequences.php?se=1&eff=2&aq=2%5E164*3&action=last20&fr=0&to=100"]3.2[sup]164[/sup][/URL]
[URL="http://factordb.com/sequences.php?se=1&eff=2&aq=3333330&action=last20&fr=0&to=100"]3333330[/URL]
[URL="http://factordb.com/sequences.php?se=1&eff=2&aq=11111111112&action=last20&fr=0&to=100"]11111111112[/URL]
[URL="http://factordb.com/sequences.php?se=1&eff=2&aq=11%5E12&action=last20&fr=0&to=100"]11[sup]12[/sup][/URL]
[URL="http://factordb.com/sequences.php?se=1&eff=2&aq=2%5E171*3&action=last20&fr=0&to=100"]3.2[sup]171[/sup][/URL]
[URL="http://factordb.com/sequences.php?se=1&eff=2&aq=2%5E161*3&action=last20&fr=0&to=100"]3.2[sup]161[/sup][/URL]

[URL="http://factordb.com/sequences.php?se=1&eff=2&aq=1111110&action=last20&fr=0&to=100"]1111110[/URL] terminates exactly in 1483
[URL="http://factordb.com/sequences.php?se=1&eff=2&aq=9999990&action=last20&fr=0&to=100"]9999990[/URL] terminates within 22811

That way is some random sequence, such as 903981141
like this[COLOR=Black] [/COLOR][COLOR=White]972, 98304, 98415, 9298091736, 9663676416, 9895604649984
rather within that way 917504, 939524096, 9216, 9437184 test it out within any thing, such way[/COLOR]