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. 
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. 
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. 
[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! 
[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. 
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. 
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=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. 2^36001 have boatload of them. 2^1800+1 (which itself has algebraic factors) 2^900+1 (ditto) 2^450+1 (ditto + aurifeuillian) 2^4501 (ditto) 
:redface:
Grrrr... Let me be silly few minutes every day... (whoops, I did it again...) 
[QUOTE=swellman;476391]
The C271 from 2^1232+1 has been fully sieved by Ryan, awaiting LA processing.[/QUOTE] Greg completed LA. Itâ€™s a p110*p161. Outstanding! 
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