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

bsquared 2013-10-01 16:51

I've notified Paul L. already, but perhaps of interest before the next update is published, I've completed the factorization of the largest number on the current table via SNFS.

5^356 + 3^356 =
[CODE]P88 = 7521407193113468023912512979493268862807621850843333591358696180361980145007741535090809
P159 = 128297366370882233474824939220907862016515244896951591455580034643327090055027063453222669478931784302427747813766422573729356826692987260162871264323161845449
[/CODE]

xilman 2013-10-01 17:15

[QUOTE=bsquared;354784]I've notified Paul L. already, but perhaps of interest before the next update is published, I've completed the factorization of the largest number on the current table via SNFS.

5^356 + 3^356 =
[CODE]P88 = 7521407193113468023912512979493268862807621850843333591358696180361980145007741535090809
P159 = 128297366370882233474824939220907862016515244896951591455580034643327090055027063453222669478931784302427747813766422573729356826692987260162871264323161845449
[/CODE][/QUOTE]Received it just now, thanks.

Nice result.

Paul

wombatman 2013-10-12 17:58

The C149 cofactor of 11^238+5^238 factors as:

[CODE]prp53 factor: 14110608481206160176130860694439650268695990192680829
prp97 factor: 4994980007525996740450979163197410071011304160352723545116480621805850441817460932941385135693769[/CODE]

xilman 2013-11-27 11:21

Here are the recently found factors, 17 of them this time. There are now 383 composites left in the tables.
[code]12+7 197 C159 9670274554509453565889704132613265080986863364601660405304439514711242448598083. P80 R Silverman SNFS 2013-10-23
7+4 239 C201 64360227913015743806020550587521192636431068385499685301492801. P140 J Becker SNFS 2013-10-23
10+9 206 C204 30909895464990026128194579159747288119941946406961724986230239173088305901. P131 J Becker SNFS 2013-10-24
7+6 244 C203 809383029812459207187412597345567253920886810429425169. C149 J Becker SNFS 2013-10-25
7+6 244 C149 63637020489303595941725719865232518510594690127084269523737. P90 J Becker SNFS 2013-10-25
5+2 316 C149 218321191816769759649018315497756682901340487592115843927959753. P87 R Smith GNFS 2013-10-30
12+5 197 C194 52940286735171410944901782877265212059511251003882736771676082232820238382302274464313783. P105 R Silverman SNFS 2013-11-08
12+5 193 C159 1053289092916350984061144894225471593837394339437889785724163076264947. P90 R Silverman SNFS 2013-11-11
12+11 197 C191 5298622319211343018003666015740697248807294185249619267886177683884003. P121 R Silverman SNFS 2013-11-11
8-5 265 C167 251294524060538232347261205483316914902812789812981930764158633210991791946801. P90 J Becker SNFS 2013-11-17
12+11 199 C176 15547459100372972985931672496611405715354594194251566388159435149592247. P106 R Silverman SNFS 2013-11-18
3-2 505 C159 3861914514125666348841670428681615604191203451798164243497791836868127396291. P84 J Becker SNFS 2013-11-19
11-2 235 C156 3882723039517514319859901449793182400986383981471948042685203241. P93 J Becker SNFS 2013-11-20
11+3 235 C174 292154462122978208435287028426067578016607525706281431601. P118 J Becker SNFS 2013-11-24
12-5 199 C184 213141842490851561005263428623871085151752350869043273. C131 R Silverman SNFS 2013-11-25
12-5 199 C131 8355638274272506880005611122954937003626834035717152469. P76 R Silverman SNFS 2013-11-25
7-2 239 C199 257996086207313708979148007509587915087999744451035254660492043007. P134 R Silverman SNFS 2013-11-26
[/code]

R.D. Silverman 2013-11-27 12:25

[QUOTE=xilman;360421]Here are the recently found factors, 17 of them this time. There are now 383 composites left in the tables.
[code]12+7 197 C159 9670274554509453565889704132613265080986863364601660405304439514711242448598083. P80 R Silverman SNFS 2013-10-23
7+4 239 C201 64360227913015743806020550587521192636431068385499685301492801. P140 J Becker SNFS 2013-10-23
10+9 206 C204 30909895464990026128194579159747288119941946406961724986230239173088305901. P131 J Becker SNFS 2013-10-24
7+6 244 C203 809383029812459207187412597345567253920886810429425169. C149 J Becker SNFS 2013-10-25
7+6 244 C149 63637020489303595941725719865232518510594690127084269523737. P90 J Becker SNFS 2013-10-25
5+2 316 C149 218321191816769759649018315497756682901340487592115843927959753. P87 R Smith GNFS 2013-10-30
12+5 197 C194 52940286735171410944901782877265212059511251003882736771676082232820238382302274464313783. P105 R Silverman SNFS 2013-11-08
12+5 193 C159 1053289092916350984061144894225471593837394339437889785724163076264947. P90 R Silverman SNFS 2013-11-11
12+11 197 C191 5298622319211343018003666015740697248807294185249619267886177683884003. P121 R Silverman SNFS 2013-11-11
8-5 265 C167 251294524060538232347261205483316914902812789812981930764158633210991791946801. P90 J Becker SNFS 2013-11-17
12+11 199 C176 15547459100372972985931672496611405715354594194251566388159435149592247. P106 R Silverman SNFS 2013-11-18
3-2 505 C159 3861914514125666348841670428681615604191203451798164243497791836868127396291. P84 J Becker SNFS 2013-11-19
11-2 235 C156 3882723039517514319859901449793182400986383981471948042685203241. P93 J Becker SNFS 2013-11-20
11+3 235 C174 292154462122978208435287028426067578016607525706281431601. P118 J Becker SNFS 2013-11-24
12-5 199 C184 213141842490851561005263428623871085151752350869043273. C131 R Silverman SNFS 2013-11-25
12-5 199 C131 8355638274272506880005611122954937003626834035717152469. P76 R Silverman SNFS 2013-11-25
7-2 239 C199 257996086207313708979148007509587915087999744451035254660492043007. P134 R Silverman SNFS 2013-11-26
[/code][/QUOTE]

Paul,

What happened to 6^257 - 5^257? It has not appeared on the
update pages(s), yet it [b]disappeared[/b] from the reservations page.
I can't find it anywhere.

I was going to do it. If it has not been done. consider it reserved.
I will do it after I finish 7,5,239+.

Bob

Bob

LaurV 2013-11-27 12:40

Those [URL="http://www.leyland.vispa.com/numth/factorization/cunningham/2-.txt"]tables[/URL] from leyland/vispa seem a bit outdated, I just checked the 2,1061-, is written as a C320 :razz:

xilman 2013-11-27 13:47

[QUOTE=R.D. Silverman;360426]Paul,

What happened to 6^257 - 5^257? It has not appeared on the
update pages(s), yet it [b]disappeared[/b] from the reservations page.
I can't find it anywhere.

I was going to do it. If it has not been done. consider it reserved.
I will do it after I finish 7,5,239+.

Bob

Bob[/QUOTE]I don't know but I'll try to find out. Tom may also be able to help.

Paul

Paul

(So good, they named them twice.)

xilman 2013-11-27 13:49

[QUOTE=LaurV;360429]Those [URL="http://www.leyland.vispa.com/numth/factorization/cunningham/2-.txt"]tables[/URL] from leyland/vispa seem a bit outdated, I just checked the 2,1061-, is written as a C320 :razz:[/QUOTE]They've not been updated for a very long time.

I'm tempted to remove those tables from my web pages because the information is now easily available elsewhere. That wasn't the case when I first hosted them.

Paul

richs 2013-11-27 13:52

6^257 - 5^257 is fully factored in the factoring database and was entered on 1 October 2013 (not by me).

Rich

fivemack 2013-11-27 14:27

[QUOTE=richs;360435]6^257 - 5^257 is fully factored in the factoring database and was entered on 1 October 2013 (not by me).
[/QUOTE]

My reservation database log has that Jon Becker reserved the number at 20130930 04:19:15Z and then submitted the factor at 20131001 01:01:41Z

Tom

xilman 2013-11-27 17:01

[QUOTE=richs;360435]6^257 - 5^257 is fully factored in the factoring database and was entered on 1 October 2013 (not by me).

Rich[/QUOTE]

[QUOTE=fivemack;360438]My reservation database log has that Jon Becker reserved the number at 20130930 04:19:15Z and then submitted the factor at 20131001 01:01:41Z

Tom[/QUOTE]Thanks Rich & Tom.

I dug out the factor from factordb and ran it through the standard update script. Nothing changed! A quick grep on the factor unearthed this:
[code]
[pcl@anubis anbn]$ grep 874808514446079294851611917951846302533572366512263272882896118157871 *.txt
6-5.txt:257 1543.50189854467127.874808514446079294851611917951846302533572366512263272882896118157871. P115
UPDATE.txt:6-5 257 C184 874808514446079294851611917951846302533572366512263272882896118157871. P115 J Becker SNFS 2013-09-30
[pcl@anubis anbn]$
[/code]

So that answers Bob's question. I wonder why he thought the factorization was missing? Something else may be wrong.

Now my ISP is playing again I can update the tables on the web. That should happen in the next few minutes.

Paul


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