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Old 2010-12-30, 16:16   #639
10metreh
 
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Quote:
Originally Posted by 10metreh View Post
That was one last Christmas present, unless I can pack another one in within the next few days...
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


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

Last fiddled with by 10metreh on 2010-12-30 at 16:20
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Old 2011-01-02, 21:05   #640
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Quote:
Originally Posted by 10metreh View Post
Maybe there is more to come... I just got this at 107 digits on 256280:
This one dropped to 37 digits, and it hasn't got a driver now, having gone back up to 97 digits:
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Old 2011-01-04, 13:40   #641
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Quote:
Originally Posted by 10metreh View Post
This one dropped to 37 digits, and it hasn't got a driver now, having gone back up to 97 digits:
Got another downdriver at 110 digits:

Code:
 3062 .	 24343710338940454926732350823004206783225758581284166566515031831496805159563200174116718084797552160269764936 = 2^3 * 3042963792367556865841543852875525847903219822660520820814378978937100644945400021764589760599694020033720617
 3063 .	 21300746546572898060890806970128680935322538758623645745700652852559704514617800152352128324197858140236044334 = 2 * 13 * 1889 * 2029 * 23197 * 1989878069 * 64708767625376401 * 83742166674627969251833 * 854558624879729035491261233046578458967604460231
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Old 2011-01-05, 20:51   #642
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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
is it considered as an escape?

Last fiddled with by firejuggler on 2011-01-05 at 20:55
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Old 2011-01-05, 21:08   #643
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Quote:
Originally Posted by firejuggler View Post
is it considered as an escape?
Yes, but it does have the 2^3 * 3 driver (which is the easiest to escape from).
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Old 2011-01-05, 21:15   #644
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i have the feeling that it will get back to 2^2*7
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Old 2011-01-07, 13:43   #645
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http://factordb.com/aliquot.php?type=1&aq=509466&big=1 (graph)
http://factordb.com/sequences.php?se=1&aq=509466 (most recent)
http://factordb.com/sequences.php?se...r=1440&to=3000 (from where I reserved to current)
I picked up 509466 at i1442 with 104 digits and the downdriver. It has had very 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.

Last fiddled with by Mini-Geek on 2011-01-07 at 13:47
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Old 2011-01-07, 17:16   #646
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20076 acquired the downdriver at 130 digits!

Code:
 2274 .     3004277989726803684959937786302832201019542702598114261494383410787641325406163261722334344652769106061676582488828835340285307968 = 2^6 * 3^2 * 5215760398831256397499891990109083682325594969788392815094415643728543967719033440490163792799946364690410733487550061354661993
 2275 .     5606942428743600627312383889367264958500014592522522276226496817008184765297960948526926077259942342042191538499116315956261644126 = 2 * 11 * 8839 * 346337 * 29185865134570681217 * 5011464867331077541536581 * 569199002061716306071450282792104857681414072819855524439105594980001889103
It's kept it for 21 terms so far, and has decreased to 127 digits.
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Old 2011-01-08, 04:59   #647
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Default Roller coaster ride (but no end in sight...)

712956 had quite a roller coaster ride....unfortunately 2^5 * 3 * 7 has taken over.
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Old 2011-01-11, 14:09   #648
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Quote:
Originally Posted by Mini-Geek View Post
http://factordb.com/aliquot.php?type=1&aq=509466&big=1 (graph)
http://factordb.com/sequences.php?se=1&aq=509466 (most recent)
http://factordb.com/sequences.php?se...r=1440&to=3000 (from where I reserved to current)
... 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.
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!
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Old 2011-01-11, 15:11   #649
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807180 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.
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