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-   -   Factoring humongous Cunningham numbers (https://www.mersenneforum.org/showthread.php?t=5722)

R.D. Silverman 2009-12-02 11:24

[QUOTE=FactorEyes;197129]For 3^482+2^482, the c211 splits as p67.p144:

[CODE]
6022358143592816987703055937430973587414900839898128198568774660469
336251906152165552923726058288362498643586177183357530975692904903480946592871183923997266513871709356039055321687450799374274615592264994554837
[/CODE]

I'm slowly chipping away at the remaining composites from the first batch: all the guys with exponent < 200 and the 3,2s up to exponent 499 - there are three of those left.

Since my previous 3,2 was last January, I'm not exactly burning through them.

We're down to 20 first-batch numbers:

[CODE]12^181-7^181 146.8 195.3
10^197-7^197 156.8 197.0
11^197+2^197 169.7 205.2
11^197+8^197 169.9 205.2
11^197-8^197 184.4 205.2
12^191-11^191 176.3 206.1
11^199+9^199 165.3 207.2
11^199-8^199 198.3 207.2
12^193+5^193 158.2 208.3
12^193-11^193 181.5 208.3
12^194+5^194 157.3 209.4
12^197+7^197 159.0 212.6
12^197-7^197 185.9 212.6
12^197+11^197 190.3 212.6
12^197+5^197 193.6 212.6
12^199+11^199 175.9 214.8
12^199-5^199 183.4 214.8
3^496+2^496 215.5 236.7
3^499+2^499 183.3 238.1
3^499-2^499 204.8 238.1 [/CODE][/QUOTE]

Two of these have been reserved for at least 1/2 year. It seems that
they were reserved and then forgotten.

These would be nice to finish.

xilman 2009-12-02 12:47

[QUOTE=xilman;197575]Nice result from Jon, who has found quite a few recently. I'll try to post an update later today in celebration.[/QUOTE]Update now posted. There are 41 new factors and 895 remaining composites.


Paul

xilman 2009-12-02 13:12

[QUOTE=xilman;197575]Nice result from Jon, who has found quite a few recently. I'll try to post an update later today in celebration.[/QUOTE]Update now posted. There are 41 new factors and 895 remaining composites.


Paul

jyb 2009-12-02 21:32

[QUOTE=xilman;197575]This just in:

Nice result from Jon, who has found quite a few recently. I'll try to post an update later today in celebration.

Jon: you should send this one to Paul Z. If I read his tables correctly, it's the 9th largest this year and the 41st largest ever.

Paul[/QUOTE]

Mail sent to Paul Z. NB: I read it as 8th and 40th, respectively.

Edit: Wow, just saw the announcement on your HCN page. I'm a celebrity! I should be able to parlay this into millions on the reality-show circuit. Uh, but if you don't mind: s/Job/Jon. :wink:

jyb 2009-12-02 22:39

I think some factors have gone MIA. The following numbers have been gone from the reservations page since at least the Nov 10 update but have not shown up in Paul's updates page (or the tables). Does anybody know what happened to them?

5+2,301
5-3,335
6-5,295
7+4,279
8-7,245
9+5,203
9+8,217
9-8,205
10-9,203
11-6,205
11+7,219

fivemack 2009-12-02 23:04

It appears that Dmitry Domanov has not read the note to report factors to xilman manually:

submitted factor 1183845881195919936904131425148281994044187124375869669811 for 193133745305806524701834558334723788679454144630367814859875973058171320807933205150672933865313734785442014864194992467656441831992220690117750324977822788248447277361423905611 (5^301+2^301) at 20090915210553
line removed/changed was 193133745305806524701834558334723788679454144630367814859875973058171320807933205150672933865313734785442014864194992467656441831992220690117750324977822788248447277361423905611:5^301+2^301:176.3:180.3:Dmitry Domanov:20090902184145:*:6164


submitted factor 683354681404562096336141528354662560442211 for 14631780629050017554002377991822556350932176466651288056721681318457668093456105603306674119484675835750903722940972550535076632981996858112800800411443177169140692549184297621490115521 (5^335-3^335) at 20090925073056
line removed/changed was 14631780629050017554002377991822556350932176466651288056721681318457668093456105603306674119484675835750903722940972550535076632981996858112800800411443177169140692549184297621490115521:5^335-3^335:184.2:187.3:Dmitry Domanov:20090902184418:*:8558


submitted factor 32011182690679964763670237876700847873852855970572487061 for 946581473155278800262823857217824958161850569818075141675847226594865710867009312617977065286590455446074653978304819287564945989099720055691714497821046224798400444447404583436531 (6^295-5^295) at 20090924141814
line removed/changed was 946581473155278800262823857217824958161850569818075141675847226594865710867009312617977065286590455446074653978304819287564945989099720055691714497821046224798400444447404583436531:6^295-5^295:180.0:183.6:Dmitry Domanov:20090902184752:*:8071


submitted factor 972554645810432269770432174037033988669263 for 1232777104490825811337523882595602092179947821146710307062726524392855439328437263949780947836620798471521895179024360803605106379690608933148547 (7^279+4^279) at 20091010165129
line removed/changed was 1232777104490825811337523882595602092179947821146710307062726524392855439328437263949780947836620798471521895179024360803605106379690608933148547:7^279+4^279:144.1:157.2:Dmitry Domanov:20091010050510:*:3306


submitted factor 1027607804004506075027882373612147645444964416730601 for 207961589977457599364491779961881508759501962562672788134742662322771915400136941727519193648045436058041 (8^245-7^245) at 20090920040856
line removed/changed was 207961589977457599364491779961881508759501962562672788134742662322771915400136941727519193648045436058041:8^245-7^245:104.4:177.0:Dmitry Domanov:20090919234526:*:8044


submitted factor 997550821391789412068452202870656356817925472643 for 117852928637433873965216159431725239871535237086076058065241516305820960359967243702974356245079733108079437027054859818970779742501 (9^203+5^203) at 20091018000940
line removed/changed was 117852928637433873965216159431725239871535237086076058065241516305820960359967243702974356245079733108079437027054859818970779742501:9^203+5^203:131.1:166.0:Dmitry Domanov:20091018000922:*:6866


submitted factor 400283457285487305875411617769128619501029468286046153157930941651255064427 for 7427283547260447926117675557798244182723157615290874253690236123881650879476869551270448823288562864598059872818173037234645936437325761742528800658761036883036811636370409 (9^217+8^217) at 20090924151311
line removed/changed was 7427283547260447926117675557798244182723157615290874253690236123881650879476869551270448823288562864598059872818173037234645936437325761742528800658761036883036811636370409:9^217+8^217:171.9:177.5:Dmitry Domanov:20090902145447:*:9927


submitted factor 15265892580647939526412778307766049750106943751 for 1491330972662859514430783211882440496875390042687637447568296760436783756870757965857340423713961 (9^205-8^205) at 20090917145137
line removed/changed was 1491330972662859514430783211882440496875390042687637447568296760436783756870757965857340423713961:9^205-8^205:96.2:156.5:Chen Wang:20090820043806:*:9070


submitted factor 15299852217803185674760318128303322788518147 for 3961166459625740457748606491952814260137329881423192178123615041357008532786242816360381235145008409712233524443398943400232525004731047724844227237 (10^203-9^203) at 20090829085204
line removed/changed was 3961166459625740457748606491952814260137329881423192178123615041357008532786242816360381235145008409712233524443398943400232525004731047724844227237:10^203-9^203:147.6:174.0:UNRESERVED:NEVER:NOMAIL:XXXX
submitted factor 6758284488614424722508551835489416304770709862298597 for 258902269331494279743644182718066730952662721523757239179908228913853217246995338550896910828932302940471 (10^203-9^203) at 20090920081040
line removed/changed was 258902269331494279743644182718066730952662721523757239179908228913853217246995338550896910828932302940471:10^203-9^203:104.4:174.0:Dmitry Domanov:20090920075322:*:1112


submitted factor 12948650767008990728571145099931 for 20040061292792232407791053505824793734025571481086686524538536103632676328703064951850225336671075530501775920669652893636352030073514806669123050639570264724560471951 (11^205-6^205) at 20090903010400
line removed/changed was 20040061292792232407791053505824793734025571481086686524538536103632676328703064951850225336671075530501775920669652893636352030073514806669123050639570264724560471951:11^205-6^205:166.4:170.8:Dmitry Domanov:20090902145340:*:1663
submitted factor 717864075549535252048536524989464990809927250061 for 1547656327549660746042162469243437903553847269257776453474400931382763822303306418792280634983524888177265712823881832400646470429371421 (11^205-6^205) at 20090917223142
line removed/changed was 1547656327549660746042162469243437903553847269257776453474400931382763822303306418792280634983524888177265712823881832400646470429371421:11^205-6^205:135.3:170.8:Dmitry Domanov:20090902145340:*:1663


submitted factor 77423142187557121581155007046115870064909122717909269568167 for 64189363703937441174137379673723076658265320778045982224035789021448393665282559158362739084475112205504098484562873720379815718047 (11^219+7^219) at 20091008092904
line removed/changed was 64189363703937441174137379673723076658265320778045982224035789021448393665282559158362739084475112205504098484562873720379815718047:11^219+7^219:130.9:152.0:Dmitry Domanov:20091008085613:*:3832

xilman 2009-12-03 08:33

[QUOTE=jyb;197620]Mail sent to Paul Z. NB: I read it as 8th and 40th, respectively.

Edit: Wow, just saw the announcement on your HCN page. I'm a celebrity! I should be able to parlay this into millions on the reality-show circuit. Uh, but if you don't mind: s/Job/Jon. :wink:[/QUOTE]Oops! 'b' is next to 'n' on my keyboard ...

I'll make the changes as part of the update containing the factors Tom has unearthed.

Paul

jyb 2009-12-03 19:05

[QUOTE=fivemack;197628]It appears that Dmitry Domanov has not read the note to report factors to xilman manually:
[snip]
[/QUOTE]

Thanks, Tom. Can you check on 11-8,215 as well? That one may have been done too recently to make the update anyway, but I'm not sure.

fivemack 2009-12-03 19:36

submitted factor 3728332866171037472973911074679362049845994861 for 55047729027088786596238785605723775475413373387949685012940618315968312963045079825903946900336931490025948863591 (11^215-8^215) at 20091130061538
line removed/changed was 55047729027088786596238785605723775475413373387949685012940618315968312963045079825903946900336931490025948863591:11^215-8^215:112.8:179.1:Jon Becker:20091129225008:*:3799

jyb 2009-12-03 20:10

[QUOTE=fivemack;197703]submitted factor 3728332866171037472973911074679362049845994861 for 55047729027088786596238785605723775475413373387949685012940618315968312963045079825903946900336931490025948863591 (11^215-8^215) at 20091130061538
line removed/changed was 55047729027088786596238785605723775475413373387949685012940618315968312963045079825903946900336931490025948863591:11^215-8^215:112.8:179.1:Jon Becker:20091129225008:*:3799[/QUOTE]

Um....oops. :redface::redface::redface:

xilman 2009-12-23 16:55

Updated tables posted
 
A new set of tables has just been uploaded. This update was delayed for some time by the ftp server at my web hoster being unavailable.

With luck, another update should occur before the end of the year.


Paul


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