Status

[swellman]

RyanP: M2200 c213 is now factored! Quite a nice split too.

Tue Oct 17 04:15:30 2017  p99 factor: 525077103879105706875225304619849472942239768866741829604368361844184971076751845617813018421428801

Tue Oct 17 04:15:30 2017  p114 factor: 241861516794729837336046087958452873866808443155177447948707938530982316428323386876321611191318103475968017857601

Results reported to factordb.

[swellman]

Ryan has factored the C213 from M(6300L) using SNFS:

Mon Oct 23 04:10:48 2017  p78 factor: 602035327079980915091992741119315005265468125193857979582673932560723362010401
Mon Oct 23 04:10:48 2017  p135 factor: 732761907998095169878305228533781088407434310398880446580748389749156333878317234473351618374284022804923754655757930826589873651457001

Factors reported to factordb.

[hlaiho]

Originally Posted by swellman

RyanP: M2200 c213 is now factored! Quite a nice split too.

Tue Oct 17 04:15:30 2017  p99 factor: 525077103879105706875225304619849472942239768866741829604368361844184971076751845617813018421428801

Tue Oct 17 04:15:30 2017  p114 factor: 241861516794729837336046087958452873866808443155177447948707938530982316428323386876321611191318103475968017857601

Results reported to factordb.

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]

Originally Posted by hlaiho

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.

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

[swellman]

Originally Posted by swellman

ECM has revealed a p59 factor of M(8640), a c648, leaving a C590 cofactor. ECM continues. All found by Ryan Propper.

p59=40992157914500402652351432573337743164884786549994004382081

Results posted at factordb.

Another factor found for 2^4320+1, this time a p65.

********** Factor found in step 2: 40211073519917713718109832768002378108019468361671184357493283201
Found prime factor of 65 digits: 40211073519917713718109832768002378108019468361671184357493283201

Leaving a C525. Results reported to fdb.

[swellman]

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

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

[LaurV]

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]

Originally Posted by LaurV

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?

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]

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

[swellman]

Originally Posted by swellman

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

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