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swellman 2017-10-20 14:18

RyanP: M2200 c213 is now factored! Quite a nice split too.
[code]Tue Oct 17 04:15:30 2017 p99 factor: 525077103879105706875225304619849472942239768866741829604368361844184971076751845617813018421428801

Tue Oct 17 04:15:30 2017 p114 factor: 241861516794729837336046087958452873866808443155177447948707938530982316428323386876321611191318103475968017857601[/code]

Results reported to factordb.

swellman 2017-10-23 22:34

Ryan has factored the C213 from M(6300L) using SNFS:
[code]
Mon Oct 23 04:10:48 2017 p78 factor: 602035327079980915091992741119315005265468125193857979582673932560723362010401
Mon Oct 23 04:10:48 2017 p135 factor: 732761907998095169878305228533781088407434310398880446580748389749156333878317234473351618374284022804923754655757930826589873651457001[/code]

Factors reported to factordb.

hlaiho 2017-10-24 13:27

2^1100+1
 
[QUOTE=swellman;470144]RyanP: M2200 c213 is now factored! Quite a nice split too.
[code]Tue Oct 17 04:15:30 2017 p99 factor: 525077103879105706875225304619849472942239768866741829604368361844184971076751845617813018421428801

Tue Oct 17 04:15:30 2017 p114 factor: 241861516794729837336046087958452873866808443155177447948707938530982316428323386876321611191318103475968017857601[/code]

Results reported to factordb.[/QUOTE]

Because this c213 was unfactored part of 2^1100+1, factors should also email to Sam Wagstaff. There is also one more Cunningham number 2^1232+1, c271 from M2464. Exponent is divisible by 7 and 11.

swellman 2017-10-26 12:49

[QUOTE=hlaiho;470277]Because this c213 was unfactored part of 2^1100+1, factors should also email to Sam Wagstaff. There is also one more Cunningham number 2^1232+1, c271 from M2464. Exponent is divisible by 7 and 11.[/QUOTE]

Factors emailed to Sam Wagstaff by Ryan Propper. Thanks for the heads up!

swellman 2017-12-03 19:54

[QUOTE=swellman;467099]ECM has revealed a p59 factor of M(8640), a c648, leaving a C590 cofactor. ECM continues. All found by Ryan Propper.

[code]
p59=40992157914500402652351432573337743164884786549994004382081
[/code]

Results posted at factordb.[/QUOTE]

Another factor found for 2^4320+1, this time a p65.
[code]
********** Factor found in step 2: 40211073519917713718109832768002378108019468361671184357493283201
Found prime factor of 65 digits: 40211073519917713718109832768002378108019468361671184357493283201
[/code]

Leaving a C525. Results reported to fdb.

swellman 2018-01-04 16:49

M3600 Factored
 
Ryan Propper and Greg Childers fully factored M3600 back in December via SNFS. See [url]http://factordb.com/index.php?query=M3600[/url]. A big job!

The C271 from 2^1232+1 has been fully sieved by Ryan, awaiting LA processing.

LaurV 2018-01-05 04:24

Nice! Congrats. How the last 3 (4?) "gogol" primes were found? I assume it was a lot of ecm, and/or a lot of luck, because if I add their lengths together, I believe it is too large for nfs, even for Ryan (we have a \(P_{176}\cdot P_{102}\cdot P_{88}\ (\cdot P_{74}\cdot P_{51}\cdot P_{eanuts})\). And in that case, is the P88 some ecm record?

axn 2018-01-05 05:30

[QUOTE=LaurV;476471]Nice! Congrats. How the last 3 (4?) "gogol" primes were found? I assume it was a lot of ecm, and/or a lot of luck, because if I add their lengths together, I believe it is too large for nfs, even for Ryan (we have a \(P_{176}\cdot P_{102}\cdot P_{88}\ (\cdot P_{74}\cdot P_{51}\cdot P_{eanuts})\). And in that case, is the P88 some ecm record?[/QUOTE]

Algebraic factors. 2^3600-1 have boatload of them.

2^1800+1 (which itself has algebraic factors)
2^900+1 (ditto)
2^450+1 (ditto + aurifeuillian)
2^450-1 (ditto)

LaurV 2018-01-05 07:42

:redface:
Grrrr... Let me be silly few minutes every day...
(whoops, I did it again...)

swellman 2018-03-02 00:35

[QUOTE=swellman;476391]

The C271 from 2^1232+1 has been fully sieved by Ryan, awaiting LA processing.[/QUOTE]

Greg completed LA. It’s a p110*p161. Outstanding!


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