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Old 2021-09-26, 23:49   #188
swellman
 
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Quote:
Originally Posted by RichD View Post
C237 from the Near-RepDigit project, 71119_236.
The SNFS difficulty is 237.81-digit.
Code:
n: 711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119
m: 2000000000000000000000000000000000000000
deg: 6
c6: 100
c0: 71
skew: 0.94
type: snfs
rlim: 64000000
alim: 64000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
Trial sieving 5K blocks.
Code:
  Q  Yield
 16M 13133
 20M 13304
 50M 10487
 80M  8230
This job file seems “old fashioned”, with m and the declaration that it’s a sextic. And no Y0,Y1 values. Yes I realize they can be derived from m but is this form acceptable to NFS@Home’s flavor of msieve or has it been retired?
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Old 2021-09-27, 02:16   #189
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Quote:
Originally Posted by swellman View Post
This job file seems “old fashioned”, with m and the declaration that it’s a sextic. And no Y0,Y1 values. Yes I realize they can be derived from m but is this form acceptable to NFS@Home’s flavor of msieve or has it been retired?
I used the poly directly from stdkmd.net site and could be considered old fashion. It has been used before here. Let me know if it needs to be revised.
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Old 2021-09-27, 02:21   #190
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Fair enough. We’ll give it a try.
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Old 2021-09-27, 04:42   #191
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Should be fine...
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Old 2021-10-01, 15:55   #192
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QUEUED AS f67_139p1

(67^139+1)/62055102244 from the Brent tables:
Code:
# Built Wed Sep 29 08:35:35 2021
# Estimated SNFS difficulty 254, GNFS equivalent 183, GNFS difficulty 244, degree 6
n: 1075523935415411275204466675608087215935250175069394300800048219958532187385744963204857479221254396052454519672324198986726216870896287979817425010800555615110419097485047074683188031661790260206299195252435902162550855481707566211962348804791
type: snfs
c6: 67
c0: 1
# Y0 = 67^23
Y0: 999356547346805156075552524294177648535563
# Y1 = 1^0
Y1: 1
# msieve rating: skew 0.50, size 1.265e-12, alpha 1.550, combined = 1.407e-13 rroots = 0
skew: 0.50
rlim: 134000000
alim: 134000000
lpbr: 31
lpba: 31
mfbr: 62
mfba: 62
rlambda: 2.6
alambda: 2.6
Sieve on 15e_small from 34M to 150M on the rational side.

Test sieving 10k ranges:
Code:
  Q  yield
 34M 23816
 84M 19861
134M 17369
184M 15346
I'll do the LA.

Last fiddled with by swellman on 2021-10-01 at 16:32
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Old 2021-10-05, 15:38   #193
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QUEUED AS f71_137m1

(71^137-1)/41109025419213792793473656534345965241807948175130 from the Brent tables:
Code:
# Built Mon Oct  4 17:15:16 2021
# Estimated SNFS difficulty 256, GNFS equivalent 185, GNFS difficulty 205, degree 6
n: 1019662842608870893279160435462321170094406771635193961981429276234229883139295901429550791182148391606220172590982067606138336490250233079150419280985502492608436542713360207264651622323157789449916763023
type: snfs
c6: 1
c0: -71
# Y0 = 71^23
Y0: 3792643488006829893221399440992214604544311
# Y1 = 1^0
Y1: 1
# msieve rating: skew 2.03, size 1.651e-12, alpha 0.316, combined = 1.665e-13 rroots = 2
skew: 2.03
rlim: 134000000
alim: 134000000
lpbr: 31
lpba: 31
mfbr: 62
mfba: 62
rlambda: 2.6
alambda: 2.6
Sieve in 15e_small from 34M to 134M on the rational side.

Test sieving 10k ranges:
Code:
  Q  yield
 34M 25750
 84M 21705
134M 18641
184M 16923
I'll not be able to do the LA, unless someone else submits a job to do between f67_139p1 and this one.

Last fiddled with by swellman on 2021-10-06 at 12:46
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Old 2021-10-06, 13:44   #194
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Quote:
Originally Posted by chris2be8 View Post

I'll not be able to do the LA, unless someone else submits a job to do between f67_139p1 and this one.
5p2_434 will finish ECM later today, at which time I will move it into sieving. Since it was created just prior to f71_137m1, 5p2_434 SHOULD then appear in the sieving queue above f71_137m1, take over sieving priority and thereby maintain the rhythm of this queue, i.e. you should be able to take the LA for f71_137m1.

Last fiddled with by swellman on 2021-10-06 at 13:45
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Old 2021-10-08, 23:38   #195
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QUEUED AS 122__241_5m1

C203 from the OPN t800 file.
Ready for 15e_small.
Code:
n: 51187248480875632885122046173993596026025490924689810872203425153229595839071747113861405067219845895527291145193918285628090921039309692681390376122034826571319901877893191104322492759049812658866450271
# 12288381826278378235712063697684697601746915312568569241^5-1, difficulty: 220.36, skewness: 1.00, alpha: 1.45
# cost: 7.92378e+17, est. time: 377.32 GHz days (not accurate yet!)
skew: 1.000
c4: 1
c3: 1
c2: 1
c1: 1
c0: 1
Y1: -1
Y0: 12288381826278378235712063697684697601746915312568569241
type: snfs
rlim: 33500000
alim: 33500000
lpbr: 30
lpba: 30
mfbr: 87
mfba: 60
rlambda: 3.5
alambda: 2.6
Trial sieving 5K blocks.
Code:
  Q  Yield
 18M  8904
 20M  9435
 50M  9772
 80M  8407
 90M  8741

Last fiddled with by swellman on 2021-10-09 at 00:00
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Old 2021-10-09, 19:58   #196
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QUEUED AS C199_M31_k35a

Kosta project M31_k35 is ready for 15e:
Code:
n: 4950036370987531796596777020435431752821658735009564665203032637182311299258729058872170618265983042169789410985851232822128958988972946232939020745222679656170411937888556774248091592015827689480701
skew: 1.38
c6: 1
c5: 1
c4: 1
c3: 1
c2: 1
c1: 1
c0: 1
Y1: 1
Y0: -45671926060252476630107084286792841360213803007
type: snfs
rlim: 134000000
alim: 266000000
lpbr: 32
lpba: 33
mfbr: 92
mfba: 66
rlambda: 3.6
alambda: 2.6
Test-sieving indicates Q from 50-400M on the -r side will produce around 660M relations.
I will sieve Q=35-50M locally on a larger siever, and swellman has agreed to handle the matrix.
Code:
#Q=50M	3013 rels, 0.251 sec/rel 60 spq
#Q=100M 2231 rels, 0.317 sec/rel 54 spq
#Q=150M 2080 rels, 0.374 sec/rel 58 spq
#Q=200M 1765 rels, 0.412 sec/rel 55 spq
#Q=250M 1572 rels, 0.428 sec/rel 51 spq
#Q=300M 1493 rels, 0.448 sec/rel 51 spq
#Q=350M 1323 rels, 0.500 sec/rel 51 spq
#Q=400M 1256 rels, 0.464 sec/rel 45 spq
1kQ intervals tested.

Last fiddled with by swellman on 2021-10-09 at 22:00
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Old 2021-10-11, 16:05   #197
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QUEUED AS f73_136p1

(73^136+1)/29616012945257519556177523571967068839450291555519370813068248905019568642 from the Brent tables:
Code:
# Built Fri Oct  8 19:13:09 2021
# Estimated SNFS difficulty 254, GNFS equivalent 183, GNFS difficulty 180, degree 5
n: 871730788736438947212476383490499496690401938741120523812292781811448385558886734225882938975199622268251543221991214291712264804303714368445845410230080771176810635838935757395361
type: snfs
c5: 73
c0: 1
# Y0 = 73^27
Y0: 204040896602218382792418993938046358519102576817497
# Y1 = 1^0
Y1: -1
# msieve rating: skew 0.42, size 2.364e-17, alpha 0.801, combined = 8.218e-14 rroots = 1
skew: 0.42
rlim: 134000000
alim: 134000000
lpbr: 31
lpba: 31
mfbr: 62
mfba: 62
rlambda: 2.6
alambda: 2.6
This is very close to being faster by GNFS, but it would need a new record e-score to gain enough to pay for time spent on poly-select. And degree 6 definitely sieves slower, despite having a better e-score.

Sieve on 15e_small from 34M to 168M on the rational side.

Test sieving 10k ranges:
Code:
  Q  yield
 34M 16013
 84M 17031
134M 17081
184M 15679
I'll do the LA.


NB. What is the Kosta project (wikipedia and duckduckgo came up blank)? I can see the job mentioned here is factoring (2^31-1)^35-1 but what else is it doing?

Last fiddled with by swellman on 2021-10-11 at 17:46
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Old 2021-10-11, 17:03   #198
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Quote:
Originally Posted by chris2be8 View Post
NB. What is the Kosta project (wikipedia and duckduckgo came up blank)? I can see the job mentioned here is factoring (2^31-1)^35-1 but what else is it doing?
The project is discussed here.

There was some forum interest in the project when it was first announced but that has diminished over time. I work on it occasionally, mostly with ECM on my local machines. I look at all the Mersenne primes up to M107 with k<100. Factorization of most of these can only be attempted through ECM. Many will likely never be factored.

No idea if others are working at it as well. User @kosta occasionally posts but not in that thread for a long time.

I keep a file on my progress. PM me if you’re interested.
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