Table of contents 目次

29×10101-53

c100

name 名前Rytis Slatkevičius
date 日付February 20, 2023 14:50:40 UTC 2023 年 2 月 20 日 (月) 23 時 50 分 40 秒 (日本時間)
composite number 合成数
3945578231292517006802721088435374149659863945578231292517006802721088435374149659863945578231292517<100>
prime factors 素因数
849624080714131305646571712149897126417821307<45>
4643910549211546714858165645458837008362733971258576031<55>
factorization results 素因数分解の結果
P45 = 849624080714131305646571712149897126417821307
P55 = 4643910549211546714858165645458837008362733971258576031
software ソフトウェア
yafu2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10104-53

c104

name 名前Rytis Slatkevičius
date 日付February 20, 2023 20:37:51 UTC 2023 年 2 月 21 日 (火) 5 時 37 分 51 秒 (日本時間)
composite number 合成数
11372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549<104>
prime factors 素因数
6399503789051430329812157896443485057734025329<46>
1777098568027185267097050281435792620673465514281857972181<58>
factorization results 素因数分解の結果
P46 = 6399503789051430329812157896443485057734025329
P58 = 1777098568027185267097050281435792620673465514281857972181
software ソフトウェア
yafu2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e60 / 1922--
4511e645 / 4434Rytis SlatkevičiusFebruary 20, 2023 20:37:22 UTC 2023 年 2 月 21 日 (火) 5 時 37 分 22 秒 (日本時間)

29×10128-53

c117

name 名前Norman Powell
date 日付March 10, 2023 00:09:50 UTC 2023 年 3 月 10 日 (金) 9 時 9 分 50 秒 (日本時間)
composite number 合成数
157594949711174474863975535940516966185119565745288882405931491072911949615832369986679515689944186610634584552970167<117>
prime factors 素因数
399379669368928985603889765418905618943786168683373131749<57>
394599329405511988008645598657159169975609600782061493215083<60>
factorization results 素因数分解の結果
03/09/23 10:27:52, nfs: commencing nfs on c117: 157594949711174474863975535940516966185119565745288882405931491072911949615832369986679515689944186610634584552970167
03/09/23 10:27:52, nfs: commencing poly selection with 6 threads
03/09/23 10:27:52, nfs: setting deadline of 1425 seconds
03/09/23 10:27:52, nfs: expecting degree 5 poly E from 4.13e-10 to > 4.75e-10
03/09/23 10:27:52, nfs: searching for avg quality poly E > 4.28e-10
03/09/23 10:31:13, nfs: completed 19 ranges of size 250 in 201.4266 seconds
03/09/23 10:31:13, nfs: best poly = # norm 4.305447e-11 alpha -5.892133 e 4.452e-10 rroots 3
03/09/23 14:45:22, nfs: commencing msieve filtering
03/09/23 14:48:10, nfs: commencing msieve linear algebra
03/09/23 14:53:26, nfs: commencing msieve sqrt
03/09/23 14:59:34, prp60 = 394599329405511988008645598657159169975609600782061493215083
03/09/23 14:59:34, prp57 = 399379669368928985603889765418905618943786168683373131749
03/09/23 14:59:34, NFS elapsed time = 8472.1638 seconds.
software ソフトウェア
YAFU v2.09
execution environment 実行環境
Windows 10 v22H2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10131-53

c113

name 名前Lionel Debroux
date 日付March 13, 2023 17:08:43 UTC 2023 年 3 月 14 日 (火) 2 時 8 分 43 秒 (日本時間)
composite number 合成数
38232933086154446389898132454308780500565439355271746602295952858664143398059849210285013659497971106527043650477<113>
prime factors 素因数
10080486245063095748740399762244001031373771477784523403<56>
3792766753179091206806026718044927075980657300650850369959<58>
factorization results 素因数分解の結果
10080486245063095748740399762244001031373771477784523403 3792766753179091206806026718044927075980657300650850369959
software ソフトウェア
CADO-NFS
execution environment 実行環境
10 x Xeon L5640, Debian sid amd64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10138-53

c123

name 名前Bob Backstrom
date 日付February 24, 2023 07:35:05 UTC 2023 年 2 月 24 日 (金) 16 時 35 分 5 秒 (日本時間)
composite number 合成数
662746363358262237173142163653609609348541502283577981232618046897754488601777957703290349251401282435379876072958877627817<123>
prime factors 素因数
1268829428154312872404126388785347984468864961949228911567<58>
522328966094613746675494646430625549761430545370949063103097023751<66>
factorization results 素因数分解の結果
Number: n
N=662746363358262237173142163653609609348541502283577981232618046897754488601777957703290349251401282435379876072958877627817  ( 123 digits)
SNFS difficulty: 138 digits.
Divisors found:

Fri Feb 24 18:32:26 2023  prp58 factor: 1268829428154312872404126388785347984468864961949228911567
Fri Feb 24 18:32:26 2023  prp66 factor: 522328966094613746675494646430625549761430545370949063103097023751
Fri Feb 24 18:32:26 2023  elapsed time 00:02:45 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
#
# N = 29x10^138-5 = 96(137)5
#
n: 662746363358262237173142163653609609348541502283577981232618046897754488601777957703290349251401282435379876072958877627817
m: 10000000000000000000000000000000000
deg: 4
c4: 580
c0: -1
skew: 0.20
# Murphy_E = 4.427e-09
type: snfs
lss: 1
rlim: 1440000
alim: 1440000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1440000/1440000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 4720000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 477560 hash collisions in 6570392 relations (6812175 unique)
Msieve: matrix is 225001 x 225228 (61.0 MB)

Sieving start time: 2023/02/24 17:46:51
Sieving end time  : 2023/02/24 18:27:43

Total sieving time: 0hrs 40min 52secs.

Total relation processing time: 0hrs 1min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 13sec.

Prototype def-par.txt line would be:
snfs,138,4,0,0,0,0,0,0,0,0,1440000,1440000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10151-53

c134

name 名前Bob Backstrom
date 日付February 26, 2023 15:28:16 UTC 2023 年 2 月 27 日 (月) 0 時 28 分 16 秒 (日本時間)
composite number 合成数
55269320841207071935408097344638693928652624322111871885439356051438705537044475823716621952508035352065002378425458162914207606933631<134>
prime factors 素因数
244963908464653074718415255771306045367857640509440740440779<60>
225622301618289726841817438755726975432869456676279588855812901189353221789<75>
factorization results 素因数分解の結果
Number: n
N=55269320841207071935408097344638693928652624322111871885439356051438705537044475823716621952508035352065002378425458162914207606933631  ( 134 digits)
SNFS difficulty: 151 digits.
Divisors found:

Mon Feb 27 02:25:07 2023  prp60 factor: 244963908464653074718415255771306045367857640509440740440779
Mon Feb 27 02:25:07 2023  prp75 factor: 225622301618289726841817438755726975432869456676279588855812901189353221789
Mon Feb 27 02:25:07 2023  elapsed time 00:10:34 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.099).
Factorization parameters were as follows:
#
# N = 29x10^151-5 = 96(150)5
#
n: 55269320841207071935408097344638693928652624322111871885439356051438705537044475823716621952508035352065002378425458162914207606933631
m: 1000000000000000000000000000000
deg: 5
c5: 58
c0: -1
skew: 0.44
# Murphy_E = 1.333e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 48400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 403995 hash collisions in 6938014 relations (7185652 unique)
Msieve: matrix is 522749 x 522974 (146.8 MB)

Sieving start time: 2023/02/26 21:22:23
Sieving end time  : 2023/02/27 02:13:45

Total sieving time: 4hrs 51min 22secs.

Total relation processing time: 0hrs 7min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 42sec.

Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10153-53

c118

name 名前Lionel Debroux
date 日付March 15, 2023 16:41:05 UTC 2023 年 3 月 16 日 (木) 1 時 41 分 5 秒 (日本時間)
composite number 合成数
1400215761958362246150870822779112094137732116913240721313638242652313026057405560505796410015752749162702245083251561<118>
prime factors 素因数
576188575407694338155058360601160063216864535826596857<54>
2430134545738971222916173842129241224582476231497623467282233073<64>
factorization results 素因数分解の結果
576188575407694338155058360601160063216864535826596857 2430134545738971222916173842129241224582476231497623467282233073
software ソフトウェア
CADO-NFS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10156-53

c155

name 名前Bob Backstrom
date 日付February 28, 2023 17:51:40 UTC 2023 年 3 月 1 日 (水) 2 時 51 分 40 秒 (日本時間)
composite number 合成数
19931271477663230240549828178694158075601374570446735395189003436426116838487972508591065292096219931271477663230240549828178694158075601374570446735395189<155>
prime factors 素因数
15283528965067559300466997919774629440538191549038859809548966749745162109<74>
1304101397211251077209327058328430235935340294313461786903201175052526073665420121<82>
factorization results 素因数分解の結果
Number: n
N=19931271477663230240549828178694158075601374570446735395189003436426116838487972508591065292096219931271477663230240549828178694158075601374570446735395189  ( 155 digits)
SNFS difficulty: 156 digits.
Divisors found:

Wed Mar  1 04:33:17 2023  prp74 factor: 15283528965067559300466997919774629440538191549038859809548966749745162109
Wed Mar  1 04:33:17 2023  prp82 factor: 1304101397211251077209327058328430235935340294313461786903201175052526073665420121
Wed Mar  1 04:33:17 2023  elapsed time 00:08:57 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.083).
Factorization parameters were as follows:
#
# N = 29x10^156-5 = 96(155)5
#
n: 19931271477663230240549828178694158075601374570446735395189003436426116838487972508591065292096219931271477663230240549828178694158075601374570446735395189
m: 10000000000000000000000000000000
deg: 5
c5: 58
c0: -1
skew: 0.44
# Murphy_E = 8.576e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 12650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1012561 hash collisions in 12603388 relations (12417082 unique)
Msieve: matrix is 462614 x 462844 (127.8 MB)

Sieving start time: 2023/03/01 03:03:13
Sieving end time  : 2023/03/01 04:24:11

Total sieving time: 1hrs 20min 58secs.

Total relation processing time: 0hrs 5min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 2sec.

Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10158-53

c143

name 名前Bob Backstrom
date 日付March 4, 2023 09:27:12 UTC 2023 年 3 月 4 日 (土) 18 時 27 分 12 秒 (日本時間)
composite number 合成数
36354557873648682986597984898436629628561516194769347287157712866228084308094922022908666618001931156089851796595132450973500281568731129738033<143>
prime factors 素因数
35297313335205705172937107996731888738718608966435086180761<59>
1029952549883973100390845564649451435002824849065017423551682977661920669586660625753<85>
factorization results 素因数分解の結果
Number: n
N=36354557873648682986597984898436629628561516194769347287157712866228084308094922022908666618001931156089851796595132450973500281568731129738033  ( 143 digits)
SNFS difficulty: 158 digits.
Divisors found:

Sat Mar  4 19:47:49 2023  prp59 factor: 35297313335205705172937107996731888738718608966435086180761
Sat Mar  4 19:47:49 2023  prp85 factor: 1029952549883973100390845564649451435002824849065017423551682977661920669586660625753
Sat Mar  4 19:47:49 2023  elapsed time 00:10:52 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.111).
Factorization parameters were as follows:
#
# N = 29x10^158-5 = 96(157)5
#
n: 36354557873648682986597984898436629628561516194769347287157712866228084308094922022908666618001931156089851796595132450973500281568731129738033
m: 10000000000000000000000000000000
deg: 5
c5: 5800
c0: -1
skew: 0.18
# Murphy_E = 6.076e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 19950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1403754 hash collisions in 15032437 relations (14618776 unique)
Msieve: matrix is 487757 x 487983 (132.4 MB)

Sieving start time: 2023/03/04 17:32:44
Sieving end time  : 2023/03/04 19:36:48

Total sieving time: 2hrs 4min 4secs.

Total relation processing time: 0hrs 6min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 40sec.

Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10161-53

c161

name 名前Bob Backstrom
date 日付March 2, 2023 23:27:54 UTC 2023 年 3 月 3 日 (金) 8 時 27 分 54 秒 (日本時間)
composite number 合成数
27619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619<161>
prime factors 素因数
1209220487569578242033469857227692943099687496542063<52>
22840373532340127515289908912764197811985496847960044080070657304664087901147095162676759094999558375680901613<110>
factorization results 素因数分解の結果
Number: n
N=27619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619  ( 161 digits)
SNFS difficulty: 161 digits.
Divisors found:

Fri Mar  3 10:23:49 2023  prp52 factor: 1209220487569578242033469857227692943099687496542063
Fri Mar  3 10:23:49 2023  prp110 factor: 22840373532340127515289908912764197811985496847960044080070657304664087901147095162676759094999558375680901613
Fri Mar  3 10:23:49 2023  elapsed time 00:11:12 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
#
# N = 29x10^161-5 = 96(160)5
#
n: 27619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619
m: 100000000000000000000000000000000
deg: 5
c5: 58
c0: -1
skew: 0.44
# Murphy_E = 5.49e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 12950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1097459 hash collisions in 13043885 relations (12802315 unique)
Msieve: matrix is 553757 x 553985 (154.5 MB)

Sieving start time: 2023/03/03 08:32:51
Sieving end time  : 2023/03/03 10:12:29

Total sieving time: 1hrs 39min 38secs.

Total relation processing time: 0hrs 8min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 30sec.

Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10163-53

c161

name 名前Bob Backstrom
date 日付March 5, 2023 07:02:36 UTC 2023 年 3 月 5 日 (日) 16 時 2 分 36 秒 (日本時間)
composite number 合成数
44241037376048817696414950419527078565980167810831426392067124332570556826849733028222730739893211289092295957284515636918382913806254767353165522501906941266209<161>
prime factors 素因数
219903425515295656178492750824656394359199349381140982951<57>
201183939142283062501269580821672068651511048136470664949497609225806567819238926612346501064859100327159<105>
factorization results 素因数分解の結果
Number: n
N=44241037376048817696414950419527078565980167810831426392067124332570556826849733028222730739893211289092295957284515636918382913806254767353165522501906941266209  ( 161 digits)
SNFS difficulty: 163 digits.
Divisors found:

Sun Mar  5 17:52:51 2023  prp57 factor: 219903425515295656178492750824656394359199349381140982951
Sun Mar  5 17:52:51 2023  prp105 factor: 201183939142283062501269580821672068651511048136470664949497609225806567819238926612346501064859100327159
Sun Mar  5 17:52:51 2023  elapsed time 00:13:26 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.100).
Factorization parameters were as follows:
#
# N = 29x10^163-5 = 96(162)5
#
n: 44241037376048817696414950419527078565980167810831426392067124332570556826849733028222730739893211289092295957284515636918382913806254767353165522501906941266209
m: 100000000000000000000000000000000
deg: 5
c5: 5800
c0: -1
skew: 0.18
# Murphy_E = 3.886e-10
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 20300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1280174 hash collisions in 13934847 relations (13558824 unique)
Msieve: matrix is 608692 x 608924 (170.0 MB)

Sieving start time: 2023/03/05 15:21:44
Sieving end time  : 2023/03/05 17:39:14

Total sieving time: 2hrs 17min 30secs.

Total relation processing time: 0hrs 9min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 41sec.

Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10164-53

c130

name 名前Bob Backstrom
date 日付March 9, 2023 07:19:34 UTC 2023 年 3 月 9 日 (木) 16 時 19 分 34 秒 (日本時間)
composite number 合成数
8990339054885029188459370413427834754598185467801911673003564742256161722769266241938776411371029480307127981555595960540985525443<130>
prime factors 素因数
744020969163098215963141134440777859739159343<45>
12083448488014643976225980268496637983192551156602077026912043145425025321257520982701<86>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 8990339054885029188459370413427834754598185467801911673003564742256161722769266241938776411371029480307127981555595960540985525443 (130 digits)
Using B1=36570000, B2=192389627446, polynomial Dickson(12), sigma=1:3940069733
Step 1 took 58044ms
Step 2 took 24140ms
********** Factor found in step 2: 744020969163098215963141134440777859739159343
Found prime factor of 45 digits: 744020969163098215963141134440777859739159343
Prime cofactor 12083448488014643976225980268496637983192551156602077026912043145425025321257520982701 has 86 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10166-53

c127

name 名前anonymous
date 日付March 18, 2023 10:28:17 UTC 2023 年 3 月 18 日 (土) 19 時 28 分 17 秒 (日本時間)
composite number 合成数
6294577474718317360048262325272374623806818709004805193605624002774059326886274655283606784126340328800628206736626221492669469<127>
prime factors 素因数
6235902953461627177163220237038238279271003932221<49>
1009409145988091303989708330683287783908248489255090455602010780034556343425889<79>
factorization results 素因数分解の結果
Sat Mar 18 18:08:03 2023  Msieve v. 1.54 (SVN Unversioned directory)
Sat Mar 18 18:08:03 2023  random seeds: 80e4b330 5e83851d
Sat Mar 18 18:08:03 2023  factoring 6294577474718317360048262325272374623806818709004805193605624002774059326886274655283606784126340328800628206736626221492669469 (127 digits)
Sat Mar 18 18:08:03 2023  searching for 15-digit factors
Sat Mar 18 18:08:04 2023  commencing number field sieve (127-digit input)
Sat Mar 18 18:08:04 2023  R0: -1000000000000000000000000000000000
Sat Mar 18 18:08:04 2023  R1: 1
Sat Mar 18 18:08:04 2023  A0: -1
Sat Mar 18 18:08:04 2023  A1: 0
Sat Mar 18 18:08:04 2023  A2: 0
Sat Mar 18 18:08:04 2023  A3: 0
Sat Mar 18 18:08:04 2023  A4: 0
Sat Mar 18 18:08:04 2023  A5: 58
Sat Mar 18 18:08:04 2023  skew 0.44, size 1.132e-011, alpha 1.560, combined = 3.498e-010 rroots = 1
Sat Mar 18 18:08:04 2023  
Sat Mar 18 18:08:04 2023  commencing relation filtering
Sat Mar 18 18:08:04 2023  estimated available RAM is 15734.8 MB
Sat Mar 18 18:08:04 2023  commencing duplicate removal, pass 1
Sat Mar 18 18:08:21 2023  error -15 reading relation 2900807
Sat Mar 18 18:08:21 2023  error -5 reading relation 2904483
Sat Mar 18 18:08:21 2023  error -1 reading relation 2908109
Sat Mar 18 18:08:21 2023  error -9 reading relation 2922866
Sat Mar 18 18:08:21 2023  error -9 reading relation 2926541
Sat Mar 18 18:08:21 2023  error -15 reading relation 2930070
Sat Mar 18 18:09:14 2023  error -1 reading relation 11652672
Sat Mar 18 18:09:14 2023  error -11 reading relation 11652956
Sat Mar 18 18:09:14 2023  error -15 reading relation 11653857
Sat Mar 18 18:09:14 2023  error -9 reading relation 11655323
Sat Mar 18 18:09:14 2023  skipped 9 relations with composite factors
Sat Mar 18 18:09:14 2023  found 1171594 hash collisions in 11655586 relations
Sat Mar 18 18:09:22 2023  added 2429 free relations
Sat Mar 18 18:09:22 2023  commencing duplicate removal, pass 2
Sat Mar 18 18:09:27 2023  found 844870 duplicates and 10813145 unique relations
Sat Mar 18 18:09:27 2023  memory use: 49.3 MB
Sat Mar 18 18:09:27 2023  reading ideals above 720000
Sat Mar 18 18:09:27 2023  commencing singleton removal, initial pass
Sat Mar 18 18:10:28 2023  memory use: 344.5 MB
Sat Mar 18 18:10:28 2023  reading all ideals from disk
Sat Mar 18 18:10:28 2023  memory use: 312.8 MB
Sat Mar 18 18:10:28 2023  commencing in-memory singleton removal
Sat Mar 18 18:10:29 2023  begin with 10813144 relations and 11623246 unique ideals
Sat Mar 18 18:10:34 2023  reduce to 4638310 relations and 4257495 ideals in 18 passes
Sat Mar 18 18:10:34 2023  max relations containing the same ideal: 79
Sat Mar 18 18:10:35 2023  removing 864980 relations and 742030 ideals in 122950 cliques
Sat Mar 18 18:10:36 2023  commencing in-memory singleton removal
Sat Mar 18 18:10:36 2023  begin with 3773330 relations and 4257495 unique ideals
Sat Mar 18 18:10:38 2023  reduce to 3628046 relations and 3364960 ideals in 11 passes
Sat Mar 18 18:10:38 2023  max relations containing the same ideal: 68
Sat Mar 18 18:10:39 2023  removing 659050 relations and 536100 ideals in 122950 cliques
Sat Mar 18 18:10:39 2023  commencing in-memory singleton removal
Sat Mar 18 18:10:39 2023  begin with 2968996 relations and 3364960 unique ideals
Sat Mar 18 18:10:40 2023  reduce to 2862729 relations and 2718783 ideals in 10 passes
Sat Mar 18 18:10:40 2023  max relations containing the same ideal: 56
Sat Mar 18 18:10:41 2023  removing 81473 relations and 72442 ideals in 9031 cliques
Sat Mar 18 18:10:42 2023  commencing in-memory singleton removal
Sat Mar 18 18:10:42 2023  begin with 2781256 relations and 2718783 unique ideals
Sat Mar 18 18:10:43 2023  reduce to 2779683 relations and 2644760 ideals in 8 passes
Sat Mar 18 18:10:43 2023  max relations containing the same ideal: 54
Sat Mar 18 18:10:43 2023  relations with 0 large ideals: 2944
Sat Mar 18 18:10:43 2023  relations with 1 large ideals: 2702
Sat Mar 18 18:10:43 2023  relations with 2 large ideals: 35968
Sat Mar 18 18:10:43 2023  relations with 3 large ideals: 193509
Sat Mar 18 18:10:43 2023  relations with 4 large ideals: 538104
Sat Mar 18 18:10:43 2023  relations with 5 large ideals: 825758
Sat Mar 18 18:10:43 2023  relations with 6 large ideals: 733100
Sat Mar 18 18:10:43 2023  relations with 7+ large ideals: 447598
Sat Mar 18 18:10:43 2023  commencing 2-way merge
Sat Mar 18 18:10:45 2023  reduce to 1610885 relation sets and 1475962 unique ideals
Sat Mar 18 18:10:45 2023  commencing full merge
Sat Mar 18 18:11:07 2023  memory use: 169.6 MB
Sat Mar 18 18:11:07 2023  found 724958 cycles, need 712162
Sat Mar 18 18:11:07 2023  weight of 712162 cycles is about 64109290 (90.02/cycle)
Sat Mar 18 18:11:07 2023  distribution of cycle lengths:
Sat Mar 18 18:11:07 2023  1 relations: 67567
Sat Mar 18 18:11:07 2023  2 relations: 60046
Sat Mar 18 18:11:07 2023  3 relations: 60124
Sat Mar 18 18:11:07 2023  4 relations: 57321
Sat Mar 18 18:11:07 2023  5 relations: 54660
Sat Mar 18 18:11:07 2023  6 relations: 50467
Sat Mar 18 18:11:07 2023  7 relations: 46533
Sat Mar 18 18:11:07 2023  8 relations: 42419
Sat Mar 18 18:11:07 2023  9 relations: 38673
Sat Mar 18 18:11:07 2023  10+ relations: 234352
Sat Mar 18 18:11:07 2023  heaviest cycle: 26 relations
Sat Mar 18 18:11:07 2023  commencing cycle optimization
Sat Mar 18 18:11:08 2023  start with 5523416 relations
Sat Mar 18 18:11:17 2023  pruned 170975 relations
Sat Mar 18 18:11:17 2023  memory use: 166.5 MB
Sat Mar 18 18:11:17 2023  distribution of cycle lengths:
Sat Mar 18 18:11:17 2023  1 relations: 67567
Sat Mar 18 18:11:17 2023  2 relations: 61461
Sat Mar 18 18:11:17 2023  3 relations: 62311
Sat Mar 18 18:11:17 2023  4 relations: 59084
Sat Mar 18 18:11:17 2023  5 relations: 56442
Sat Mar 18 18:11:17 2023  6 relations: 51852
Sat Mar 18 18:11:17 2023  7 relations: 47795
Sat Mar 18 18:11:17 2023  8 relations: 43333
Sat Mar 18 18:11:17 2023  9 relations: 39343
Sat Mar 18 18:11:17 2023  10+ relations: 222974
Sat Mar 18 18:11:17 2023  heaviest cycle: 26 relations
Sat Mar 18 18:11:18 2023  RelProcTime: 194
Sat Mar 18 18:11:18 2023  elapsed time 00:03:15
Sat Mar 18 18:11:18 2023  
Sat Mar 18 18:11:18 2023  
Sat Mar 18 18:11:18 2023  Msieve v. 1.54 (SVN Unversioned directory)
Sat Mar 18 18:11:18 2023  random seeds: 1b213288 c1d562d6
Sat Mar 18 18:11:18 2023  factoring 6294577474718317360048262325272374623806818709004805193605624002774059326886274655283606784126340328800628206736626221492669469 (127 digits)
Sat Mar 18 18:11:18 2023  searching for 15-digit factors
Sat Mar 18 18:11:18 2023  commencing number field sieve (127-digit input)
Sat Mar 18 18:11:18 2023  R0: -1000000000000000000000000000000000
Sat Mar 18 18:11:18 2023  R1: 1
Sat Mar 18 18:11:18 2023  A0: -1
Sat Mar 18 18:11:18 2023  A1: 0
Sat Mar 18 18:11:19 2023  A2: 0
Sat Mar 18 18:11:19 2023  A3: 0
Sat Mar 18 18:11:19 2023  A4: 0
Sat Mar 18 18:11:19 2023  A5: 58
Sat Mar 18 18:11:19 2023  skew 0.44, size 1.132e-011, alpha 1.560, combined = 3.498e-010 rroots = 1
Sat Mar 18 18:11:19 2023  
Sat Mar 18 18:11:19 2023  commencing linear algebra
Sat Mar 18 18:11:19 2023  read 712162 cycles
Sat Mar 18 18:11:20 2023  cycles contain 2666290 unique relations
Sat Mar 18 18:11:31 2023  read 2666290 relations
Sat Mar 18 18:11:34 2023  using 20 quadratic characters above 4294917295
Sat Mar 18 18:11:43 2023  building initial matrix
Sat Mar 18 18:12:05 2023  memory use: 324.4 MB
Sat Mar 18 18:12:06 2023  read 712162 cycles
Sat Mar 18 18:12:06 2023  matrix is 711984 x 712162 (261.2 MB) with weight 76444293 (107.34/col)
Sat Mar 18 18:12:06 2023  sparse part has weight 60626293 (85.13/col)
Sat Mar 18 18:12:11 2023  filtering completed in 2 passes
Sat Mar 18 18:12:11 2023  matrix is 711352 x 711529 (261.1 MB) with weight 76418174 (107.40/col)
Sat Mar 18 18:12:11 2023  sparse part has weight 60614958 (85.19/col)
Sat Mar 18 18:12:12 2023  matrix starts at (0, 0)
Sat Mar 18 18:12:12 2023  matrix is 711352 x 711529 (261.1 MB) with weight 76418174 (107.40/col)
Sat Mar 18 18:12:12 2023  sparse part has weight 60614958 (85.19/col)
Sat Mar 18 18:12:12 2023  saving the first 112 matrix rows for later
Sat Mar 18 18:12:12 2023  matrix includes 128 packed rows
Sat Mar 18 18:12:12 2023  matrix is 711240 x 711529 (237.5 MB) with weight 57670071 (81.05/col)
Sat Mar 18 18:12:12 2023  sparse part has weight 53724903 (75.51/col)
Sat Mar 18 18:12:12 2023  using block size 8192 and superblock size 393216 for processor cache size 8192 kB
Sat Mar 18 18:12:15 2023  commencing Lanczos iteration (10 threads)
Sat Mar 18 18:12:15 2023  memory use: 267.7 MB
Sat Mar 18 18:12:17 2023  linear algebra at 0.4%, ETA 0h 7m
Sat Mar 18 18:20:40 2023  lanczos halted after 5591 iterations (dim = 711240)
Sat Mar 18 18:20:41 2023  recovered 38 nontrivial dependencies
Sat Mar 18 18:20:41 2023  BLanczosTime: 562
Sat Mar 18 18:20:41 2023  elapsed time 00:09:23
Sat Mar 18 18:20:41 2023  
Sat Mar 18 18:20:41 2023  
Sat Mar 18 18:20:41 2023  Msieve v. 1.54 (SVN Unversioned directory)
Sat Mar 18 18:20:41 2023  random seeds: eda7d518 b640fe32
Sat Mar 18 18:20:41 2023  factoring 6294577474718317360048262325272374623806818709004805193605624002774059326886274655283606784126340328800628206736626221492669469 (127 digits)
Sat Mar 18 18:20:42 2023  searching for 15-digit factors
Sat Mar 18 18:20:42 2023  commencing number field sieve (127-digit input)
Sat Mar 18 18:20:42 2023  R0: -1000000000000000000000000000000000
Sat Mar 18 18:20:42 2023  R1: 1
Sat Mar 18 18:20:42 2023  A0: -1
Sat Mar 18 18:20:42 2023  A1: 0
Sat Mar 18 18:20:42 2023  A2: 0
Sat Mar 18 18:20:42 2023  A3: 0
Sat Mar 18 18:20:42 2023  A4: 0
Sat Mar 18 18:20:42 2023  A5: 58
Sat Mar 18 18:20:42 2023  skew 0.44, size 1.132e-011, alpha 1.560, combined = 3.498e-010 rroots = 1
Sat Mar 18 18:20:42 2023  
Sat Mar 18 18:20:42 2023  commencing square root phase
Sat Mar 18 18:20:42 2023  reading relations for dependency 1
Sat Mar 18 18:20:42 2023  read 355511 cycles
Sat Mar 18 18:20:43 2023  cycles contain 1332926 unique relations
Sat Mar 18 18:20:49 2023  read 1332926 relations
Sat Mar 18 18:20:52 2023  multiplying 1332926 relations
Sat Mar 18 18:21:16 2023  multiply complete, coefficients have about 35.88 million bits
Sat Mar 18 18:21:16 2023  initial square root is modulo 141851
Sat Mar 18 18:21:42 2023  GCD is N, no factor found
Sat Mar 18 18:21:42 2023  reading relations for dependency 2
Sat Mar 18 18:21:42 2023  read 355269 cycles
Sat Mar 18 18:21:43 2023  cycles contain 1332874 unique relations
Sat Mar 18 18:21:49 2023  read 1332874 relations
Sat Mar 18 18:21:52 2023  multiplying 1332874 relations
Sat Mar 18 18:22:15 2023  multiply complete, coefficients have about 35.88 million bits
Sat Mar 18 18:22:15 2023  initial square root is modulo 141851
Sat Mar 18 18:22:41 2023  GCD is N, no factor found
Sat Mar 18 18:22:41 2023  reading relations for dependency 3
Sat Mar 18 18:22:41 2023  read 355851 cycles
Sat Mar 18 18:22:41 2023  cycles contain 1333858 unique relations
Sat Mar 18 18:22:47 2023  read 1333858 relations
Sat Mar 18 18:22:50 2023  multiplying 1333858 relations
Sat Mar 18 18:23:14 2023  multiply complete, coefficients have about 35.91 million bits
Sat Mar 18 18:23:14 2023  initial square root is modulo 143111
Sat Mar 18 18:23:39 2023  GCD is 1, no factor found
Sat Mar 18 18:23:39 2023  reading relations for dependency 4
Sat Mar 18 18:23:40 2023  read 356102 cycles
Sat Mar 18 18:23:40 2023  cycles contain 1334596 unique relations
Sat Mar 18 18:23:46 2023  read 1334596 relations
Sat Mar 18 18:23:49 2023  multiplying 1334596 relations
Sat Mar 18 18:24:14 2023  multiply complete, coefficients have about 35.92 million bits
Sat Mar 18 18:24:14 2023  initial square root is modulo 143881
Sat Mar 18 18:24:41 2023  sqrtTime: 239
Sat Mar 18 18:24:41 2023  p49 factor: 6235902953461627177163220237038238279271003932221
Sat Mar 18 18:24:41 2023  p79 factor: 1009409145988091303989708330683287783908248489255090455602010780034556343425889
Sat Mar 18 18:24:41 2023  elapsed time 00:04:00

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e63840cccMarch 18, 2023 05:12:12 UTC 2023 年 3 月 18 日 (土) 14 時 12 分 12 秒 (日本時間)

29×10167-53

c120

name 名前Eric Jeancolas
date 日付March 14, 2023 21:12:38 UTC 2023 年 3 月 15 日 (水) 6 時 12 分 38 秒 (日本時間)
composite number 合成数
126621692055138186992261403502037002626034381398591224994112123162123439010634668441134095857795987995145446078334679517<120>
prime factors 素因数
4223986533298774593336664354571803123649801<43>
29976821909100976344624190803173641404768162351636340740782474554538190212917<77>
factorization results 素因数分解の結果
126621692055138186992261403502037002626034381398591224994112123162123439010634668441134095857795987995145446078334679517=4223986533298774593336664354571803123649801*29976821909100976344624190803173641404768162351636340740782474554538190212917

cado polynomial
n: 126621692055138186992261403502037002626034381398591224994112123162123439010634668441134095857795987995145446078334679517
skew: 36169.764
c0: 1205397296557217778037164960
c1: -706521891047398196551692
c2: -4844193362707491533
c3: 863113948924999
c4: 8170991160
c5: -108000
Y0: -148662627595011250509951
Y1: 58881711293374157
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.694e-06
# f(x) = -108000*x^5+8170991160*x^4+863113948924999*x^3-4844193362707491533*x^2-706521891047398196551692*x+1205397296557217778037164960
# g(x) = 58881711293374157*x-148662627595011250509951

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 29976821909100976344624190803173641404768162351636340740782474554538190212917 4223986533298774593336664354571803123649801
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 179.38/54.2061
Info:HTTP server: Got notification to stop serving Workunits
Info:Quadratic Characters: Total cpu/real time for characters: 18.05/7.14202
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.01/47.3204
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 47.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 57.87/48.6891
Info:Filtering - Merging: Merged matrix has 595836 rows and total weight 60569258 (101.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 46.73/14.8537
Info:Filtering - Merging: Total cpu/real time for replay: 13.5/11.1563
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13455592
Info:Lattice Sieving: Average J: 1900.3 for 214406 special-q, max bucket fill -bkmult 1.0,1s:1.259190
Info:Lattice Sieving: Total time: 26304.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 142.17/161.02
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 149.4s
Info:Linear Algebra: Total cpu/real time for bwc: 3760.35/1045.91
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2296.8, WCT time 600.72, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (18688 iterations)
Info:Linear Algebra: Lingen CPU time 77.43, WCT time 78.56
Info:Linear Algebra: Mksol: CPU time 1316.99,  WCT time 343.2, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9472 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1556.73
Info:Polynomial Selection (root optimized): Rootsieve time: 1554.36
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21505.4
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 14644/34.810/42.576/47.250/1.064
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11511/34.520/37.585/43.030/0.781
Info:Polynomial Selection (size optimized): Total time: 2117.8
Info:Generate Factor Base: Total cpu/real time for makefb: 4.84/1.30578
Info:Square Root: Total cpu/real time for sqrt: 179.38/54.2061
Info:Generate Free Relations: Total cpu/real time for freerel: 124.9/32.681
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 57278.3/15782.9
Info:root: Cleaning up computation data in /tmp/cado.gzcnvilc
29976821909100976344624190803173641404768162351636340740782474554538190212917 4223986533298774593336664354571803123649801
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10170-53

c153

name 名前Bob Backstrom
date 日付March 14, 2023 18:24:53 UTC 2023 年 3 月 15 日 (水) 3 時 24 分 53 秒 (日本時間)
composite number 合成数
131976247552983768823119827603575666862137878329741167431436057858372431451080174874157835153599112898557701042691618081658345258481764169192077981530521<153>
prime factors 素因数
31998915176534086863628170025730885235598262401741<50>
4124397556132356749868382096031889686934129521223014047436742413893302169147250181459520785901347459581<103>
factorization results 素因数分解の結果
Number: n
N=131976247552983768823119827603575666862137878329741167431436057858372431451080174874157835153599112898557701042691618081658345258481764169192077981530521  ( 153 digits)
SNFS difficulty: 171 digits.
Divisors found:

Wed Mar 15 00:59:44 2023  prp50 factor: 31998915176534086863628170025730885235598262401741
Wed Mar 15 00:59:44 2023  prp103 factor: 4124397556132356749868382096031889686934129521223014047436742413893302169147250181459520785901347459581
Wed Mar 15 00:59:44 2023  elapsed time 00:16:16 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.104).
Factorization parameters were as follows:
#
# N = 29x10^170-5 = 96(169)5
#
n: 131976247552983768823119827603575666862137878329741167431436057858372431451080174874157835153599112898557701042691618081658345258481764169192077981530521
m: 10000000000000000000000000000000000
deg: 5
c5: 29
c0: -5
skew: 0.70
# Murphy_E = 2.649e-10
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 13700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1660115 hash collisions in 14638039 relations (13857482 unique)
Msieve: matrix is 656433 x 656659 (184.5 MB)

Sieving start time: 2023/03/14 23:31:06
Sieving end time  : 2023/03/15 00:43:14

Total sieving time: 1hrs 12min 8secs.

Total relation processing time: 0hrs 12min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 22sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10171-53

c139

name 名前Ignacio Santos
date 日付April 15, 2023 14:30:43 UTC 2023 年 4 月 15 日 (土) 23 時 30 分 43 秒 (日本時間)
composite number 合成数
1640577036943120237255010780921037813062036794161275776329883989267966978093777915708972471586440788028690396588256325510099421395791866203<139>
prime factors 素因数
19961449843165765139870576013620903694425107444919556030861672287<65>
82187268451585310691530271656376593863764351208244407217188514718090683269<74>
factorization results 素因数分解の結果
-> makeJobFile(): Adjusted to q0=2550000, q1=2650000.
->               client 1 q0: 2550000
      LatSieveTime: 92
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-> makeJobFile(): Adjusted to q0=2650001, q1=2750000.
->               client 1 q0: 2650001
      LatSieveTime: 88
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-> makeJobFile(): Adjusted to q0=2750001, q1=2850000.
->               client 1 q0: 2750001
      LatSieveTime: 89
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-> makeJobFile(): Adjusted to q0=2850001, q1=2950000.
->               client 1 q0: 2850001
      LatSieveTime: 91
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-> makeJobFile(): Adjusted to q0=2950001, q1=3050000.
->               client 1 q0: 2950001
      LatSieveTime: 92
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-> makeJobFile(): Adjusted to q0=3050001, q1=3150000.
->               client 1 q0: 3050001
      LatSieveTime: 87
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-> makeJobFile(): Adjusted to q0=3150001, q1=3250000.
->               client 1 q0: 3150001
      LatSieveTime: 93
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-> makeJobFile(): Adjusted to q0=3250001, q1=3350000.
->               client 1 q0: 3250001
      LatSieveTime: 92
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-> makeJobFile(): Adjusted to q0=3350001, q1=3450000.
->               client 1 q0: 3350001
      LatSieveTime: 94
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-> makeJobFile(): Adjusted to q0=3450001, q1=3550000.
->               client 1 q0: 3450001
      LatSieveTime: 91
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-> makeJobFile(): Adjusted to q0=3550001, q1=3650000.
->               client 1 q0: 3550001
      LatSieveTime: 94
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-> makeJobFile(): Adjusted to q0=3650001, q1=3750000.
->               client 1 q0: 3650001
      LatSieveTime: 95
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-> makeJobFile(): Adjusted to q0=3750001, q1=3850000.
->               client 1 q0: 3750001
      LatSieveTime: 89
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-> makeJobFile(): Adjusted to q0=3850001, q1=3950000.
->               client 1 q0: 3850001
      LatSieveTime: 98
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-> makeJobFile(): Adjusted to q0=3950001, q1=4050000.
->               client 1 q0: 3950001
      LatSieveTime: 93
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-> makeJobFile(): Adjusted to q0=4050001, q1=4150000.
->               client 1 q0: 4050001
      LatSieveTime: 92
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        LatSieveTime: 101
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        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
-> makeJobFile(): Adjusted to q0=4150001, q1=4250000.
->               client 1 q0: 4150001
      LatSieveTime: 91
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 114
        LatSieveTime: 116
-> makeJobFile(): Adjusted to q0=4250001, q1=4350000.
->               client 1 q0: 4250001
      LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 118
-> makeJobFile(): Adjusted to q0=4350001, q1=4450000.
->               client 1 q0: 4350001
      LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 114
        LatSieveTime: 119
-> makeJobFile(): Adjusted to q0=4450001, q1=4550000.
->               client 1 q0: 4450001
      LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 116
-> makeJobFile(): Adjusted to q0=4550001, q1=4650000.
->               client 1 q0: 4550001
      LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
-> makeJobFile(): Adjusted to q0=4650001, q1=4750000.
->               client 1 q0: 4650001
      LatSieveTime: 95
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 118
-> makeJobFile(): Adjusted to q0=4750001, q1=4850000.
->               client 1 q0: 4750001
      LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 117
-> makeJobFile(): Adjusted to q0=4850001, q1=4950000.
->               client 1 q0: 4850001
      LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
-> makeJobFile(): Adjusted to q0=4950001, q1=5050000.
->               client 1 q0: 4950001
      LatSieveTime: 95
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 112
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
-> makeJobFile(): Adjusted to q0=5050001, q1=5150000.
->               client 1 q0: 5050001
      LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 98
        LatSieveTime: 100
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 115
-> makeJobFile(): Adjusted to q0=5150001, q1=5250000.
->               client 1 q0: 5150001
      LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 115
        LatSieveTime: 118
-> makeJobFile(): Adjusted to q0=5250001, q1=5350000.
->               client 1 q0: 5250001
      LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
Sat Apr 15 16:12:30 2023  
Sat Apr 15 16:12:30 2023  
Sat Apr 15 16:12:30 2023  Msieve v. 1.52 (SVN 927)
Sat Apr 15 16:12:30 2023  random seeds: fed78780 73050a90
Sat Apr 15 16:12:30 2023  factoring 1640577036943120237255010780921037813062036794161275776329883989267966978093777915708972471586440788028690396588256325510099421395791866203 (139 digits)
Sat Apr 15 16:12:30 2023  searching for 15-digit factors
Sat Apr 15 16:12:30 2023  commencing number field sieve (139-digit input)
Sat Apr 15 16:12:30 2023  R0: -10000000000000000000000000000000000
Sat Apr 15 16:12:30 2023  R1: 1
Sat Apr 15 16:12:30 2023  A0: -1
Sat Apr 15 16:12:30 2023  A1: 0
Sat Apr 15 16:12:30 2023  A2: 0
Sat Apr 15 16:12:30 2023  A3: 0
Sat Apr 15 16:12:30 2023  A4: 0
Sat Apr 15 16:12:30 2023  A5: 58
Sat Apr 15 16:12:30 2023  skew 0.44, size 5.252e-012, alpha 1.560, combined = 2.217e-010 rroots = 1
Sat Apr 15 16:12:30 2023  
Sat Apr 15 16:12:30 2023  commencing relation filtering
Sat Apr 15 16:12:30 2023  estimated available RAM is 65413.5 MB
Sat Apr 15 16:12:30 2023  commencing duplicate removal, pass 1
Sat Apr 15 16:12:47 2023  found 1153300 hash collisions in 10283134 relations
Sat Apr 15 16:12:55 2023  added 371721 free relations
Sat Apr 15 16:12:55 2023  commencing duplicate removal, pass 2
Sat Apr 15 16:12:59 2023  found 929925 duplicates and 9724930 unique relations
Sat Apr 15 16:12:59 2023  memory use: 49.3 MB
Sat Apr 15 16:12:59 2023  reading ideals above 100000
Sat Apr 15 16:12:59 2023  commencing singleton removal, initial pass
Sat Apr 15 16:13:34 2023  memory use: 344.5 MB
Sat Apr 15 16:13:34 2023  reading all ideals from disk
Sat Apr 15 16:13:34 2023  memory use: 355.8 MB
Sat Apr 15 16:13:35 2023  keeping 10991682 ideals with weight <= 200, target excess is 50415
Sat Apr 15 16:13:35 2023  commencing in-memory singleton removal
Sat Apr 15 16:13:36 2023  begin with 9724930 relations and 10991682 unique ideals
Sat Apr 15 16:13:41 2023  reduce to 3670989 relations and 3667622 ideals in 22 passes
Sat Apr 15 16:13:41 2023  max relations containing the same ideal: 108
Sat Apr 15 16:13:41 2023  filtering wants 1000000 more relations
Sat Apr 15 16:13:41 2023  elapsed time 00:01:11
-> makeJobFile(): Adjusted to q0=5350001, q1=5450000.
->               client 1 q0: 5350001
       LatSieveTime: 91
        LatSieveTime: 93
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
Sat Apr 15 16:15:38 2023  
Sat Apr 15 16:15:38 2023  
Sat Apr 15 16:15:38 2023  Msieve v. 1.52 (SVN 927)
Sat Apr 15 16:15:38 2023  random seeds: 9d771794 fe51a803
Sat Apr 15 16:15:38 2023  factoring 1640577036943120237255010780921037813062036794161275776329883989267966978093777915708972471586440788028690396588256325510099421395791866203 (139 digits)
Sat Apr 15 16:15:39 2023  searching for 15-digit factors
Sat Apr 15 16:15:39 2023  commencing number field sieve (139-digit input)
Sat Apr 15 16:15:39 2023  R0: -10000000000000000000000000000000000
Sat Apr 15 16:15:39 2023  R1: 1
Sat Apr 15 16:15:39 2023  A0: -1
Sat Apr 15 16:15:39 2023  A1: 0
Sat Apr 15 16:15:39 2023  A2: 0
Sat Apr 15 16:15:39 2023  A3: 0
Sat Apr 15 16:15:39 2023  A4: 0
Sat Apr 15 16:15:39 2023  A5: 58
Sat Apr 15 16:15:39 2023  skew 0.44, size 5.252e-012, alpha 1.560, combined = 2.217e-010 rroots = 1
Sat Apr 15 16:15:39 2023  
Sat Apr 15 16:15:39 2023  commencing relation filtering
Sat Apr 15 16:15:39 2023  estimated available RAM is 65413.5 MB
Sat Apr 15 16:15:39 2023  commencing duplicate removal, pass 1
Sat Apr 15 16:16:00 2023  found 1242151 hash collisions in 11001027 relations
Sat Apr 15 16:16:07 2023  added 739 free relations
Sat Apr 15 16:16:07 2023  commencing duplicate removal, pass 2
Sat Apr 15 16:16:11 2023  found 984671 duplicates and 10017095 unique relations
Sat Apr 15 16:16:11 2023  memory use: 49.3 MB
Sat Apr 15 16:16:11 2023  reading ideals above 720000
Sat Apr 15 16:16:11 2023  commencing singleton removal, initial pass
Sat Apr 15 16:16:44 2023  memory use: 344.5 MB
Sat Apr 15 16:16:44 2023  reading all ideals from disk
Sat Apr 15 16:16:44 2023  memory use: 295.1 MB
Sat Apr 15 16:16:45 2023  commencing in-memory singleton removal
Sat Apr 15 16:16:45 2023  begin with 10017095 relations and 11039819 unique ideals
Sat Apr 15 16:16:51 2023  reduce to 4084290 relations and 3902133 ideals in 24 passes
Sat Apr 15 16:16:51 2023  max relations containing the same ideal: 67
Sat Apr 15 16:16:52 2023  removing 291412 relations and 267791 ideals in 23621 cliques
Sat Apr 15 16:16:52 2023  commencing in-memory singleton removal
Sat Apr 15 16:16:52 2023  begin with 3792878 relations and 3902133 unique ideals
Sat Apr 15 16:16:53 2023  reduce to 3773539 relations and 3614813 ideals in 8 passes
Sat Apr 15 16:16:53 2023  max relations containing the same ideal: 63
Sat Apr 15 16:16:54 2023  removing 211932 relations and 188311 ideals in 23621 cliques
Sat Apr 15 16:16:54 2023  commencing in-memory singleton removal
Sat Apr 15 16:16:54 2023  begin with 3561607 relations and 3614813 unique ideals
Sat Apr 15 16:16:55 2023  reduce to 3550498 relations and 3415310 ideals in 8 passes
Sat Apr 15 16:16:55 2023  max relations containing the same ideal: 59
Sat Apr 15 16:16:56 2023  relations with 0 large ideals: 2944
Sat Apr 15 16:16:56 2023  relations with 1 large ideals: 2193
Sat Apr 15 16:16:56 2023  relations with 2 large ideals: 29761
Sat Apr 15 16:16:56 2023  relations with 3 large ideals: 178310
Sat Apr 15 16:16:56 2023  relations with 4 large ideals: 556392
Sat Apr 15 16:16:56 2023  relations with 5 large ideals: 976042
Sat Apr 15 16:16:56 2023  relations with 6 large ideals: 1022510
Sat Apr 15 16:16:56 2023  relations with 7+ large ideals: 782346
Sat Apr 15 16:16:56 2023  commencing 2-way merge
Sat Apr 15 16:16:57 2023  reduce to 2065215 relation sets and 1930028 unique ideals
Sat Apr 15 16:16:57 2023  ignored 1 oversize relation sets
Sat Apr 15 16:16:57 2023  commencing full merge
Sat Apr 15 16:17:21 2023  memory use: 219.6 MB
Sat Apr 15 16:17:21 2023  found 1020138 cycles, need 1004228
Sat Apr 15 16:17:21 2023  weight of 1004228 cycles is about 70304257 (70.01/cycle)
Sat Apr 15 16:17:21 2023  distribution of cycle lengths:
Sat Apr 15 16:17:21 2023  1 relations: 133248
Sat Apr 15 16:17:21 2023  2 relations: 121007
Sat Apr 15 16:17:21 2023  3 relations: 115504
Sat Apr 15 16:17:21 2023  4 relations: 101638
Sat Apr 15 16:17:21 2023  5 relations: 90385
Sat Apr 15 16:17:21 2023  6 relations: 75483
Sat Apr 15 16:17:21 2023  7 relations: 65503
Sat Apr 15 16:17:21 2023  8 relations: 54978
Sat Apr 15 16:17:21 2023  9 relations: 46025
Sat Apr 15 16:17:21 2023  10+ relations: 200457
Sat Apr 15 16:17:21 2023  heaviest cycle: 23 relations
Sat Apr 15 16:17:21 2023  commencing cycle optimization
Sat Apr 15 16:17:22 2023  start with 6018238 relations
Sat Apr 15 16:17:30 2023  pruned 131350 relations
Sat Apr 15 16:17:30 2023  memory use: 201.6 MB
Sat Apr 15 16:17:30 2023  distribution of cycle lengths:
Sat Apr 15 16:17:30 2023  1 relations: 133248
Sat Apr 15 16:17:30 2023  2 relations: 123520
Sat Apr 15 16:17:30 2023  3 relations: 119175
Sat Apr 15 16:17:30 2023  4 relations: 103750
Sat Apr 15 16:17:30 2023  5 relations: 92173
Sat Apr 15 16:17:30 2023  6 relations: 76178
Sat Apr 15 16:17:30 2023  7 relations: 65872
Sat Apr 15 16:17:30 2023  8 relations: 54780
Sat Apr 15 16:17:30 2023  9 relations: 45233
Sat Apr 15 16:17:30 2023  10+ relations: 190299
Sat Apr 15 16:17:30 2023  heaviest cycle: 23 relations
Sat Apr 15 16:17:31 2023  RelProcTime: 112
Sat Apr 15 16:17:31 2023  elapsed time 00:01:53
Sat Apr 15 16:17:31 2023  
Sat Apr 15 16:17:31 2023  
Sat Apr 15 16:17:31 2023  Msieve v. 1.52 (SVN 927)
Sat Apr 15 16:17:31 2023  random seeds: 3fd4b170 206b4477
Sat Apr 15 16:17:31 2023  factoring 1640577036943120237255010780921037813062036794161275776329883989267966978093777915708972471586440788028690396588256325510099421395791866203 (139 digits)
Sat Apr 15 16:17:31 2023  searching for 15-digit factors
Sat Apr 15 16:17:32 2023  commencing number field sieve (139-digit input)
Sat Apr 15 16:17:32 2023  R0: -10000000000000000000000000000000000
Sat Apr 15 16:17:32 2023  R1: 1
Sat Apr 15 16:17:32 2023  A0: -1
Sat Apr 15 16:17:32 2023  A1: 0
Sat Apr 15 16:17:32 2023  A2: 0
Sat Apr 15 16:17:32 2023  A3: 0
Sat Apr 15 16:17:32 2023  A4: 0
Sat Apr 15 16:17:32 2023  A5: 58
Sat Apr 15 16:17:32 2023  skew 0.44, size 5.252e-012, alpha 1.560, combined = 2.217e-010 rroots = 1
Sat Apr 15 16:17:32 2023  
Sat Apr 15 16:17:32 2023  commencing linear algebra
Sat Apr 15 16:17:32 2023  read 1004228 cycles
Sat Apr 15 16:17:33 2023  cycles contain 3403830 unique relations
Sat Apr 15 16:17:39 2023  read 3403830 relations
Sat Apr 15 16:17:42 2023  using 20 quadratic characters above 134216792
Sat Apr 15 16:17:51 2023  building initial matrix
Sat Apr 15 16:18:09 2023  memory use: 410.4 MB
Sat Apr 15 16:18:10 2023  read 1004228 cycles
Sat Apr 15 16:18:10 2023  matrix is 1004044 x 1004228 (300.8 MB) with weight 88729678 (88.36/col)
Sat Apr 15 16:18:10 2023  sparse part has weight 67815595 (67.53/col)
Sat Apr 15 16:18:14 2023  filtering completed in 2 passes
Sat Apr 15 16:18:15 2023  matrix is 1001286 x 1001469 (300.6 MB) with weight 88633538 (88.50/col)
Sat Apr 15 16:18:15 2023  sparse part has weight 67779317 (67.68/col)
Sat Apr 15 16:18:16 2023  matrix starts at (0, 0)
Sat Apr 15 16:18:16 2023  matrix is 1001286 x 1001469 (300.6 MB) with weight 88633538 (88.50/col)
Sat Apr 15 16:18:16 2023  sparse part has weight 67779317 (67.68/col)
Sat Apr 15 16:18:16 2023  saving the first 48 matrix rows for later
Sat Apr 15 16:18:16 2023  matrix includes 64 packed rows
Sat Apr 15 16:18:17 2023  matrix is 1001238 x 1001469 (284.2 MB) with weight 70126692 (70.02/col)
Sat Apr 15 16:18:17 2023  sparse part has weight 64495529 (64.40/col)
Sat Apr 15 16:18:17 2023  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
Sat Apr 15 16:18:19 2023  commencing Lanczos iteration (32 threads)
Sat Apr 15 16:18:19 2023  memory use: 227.1 MB
Sat Apr 15 16:18:20 2023  linear algebra at 0.2%, ETA 0h10m
Sat Apr 15 16:18:21 2023  checkpointing every 3660000 dimensions
Sat Apr 15 16:28:56 2023  lanczos halted after 15834 iterations (dim = 1001238)
Sat Apr 15 16:28:57 2023  recovered 38 nontrivial dependencies
Sat Apr 15 16:28:57 2023  BLanczosTime: 685
Sat Apr 15 16:28:57 2023  elapsed time 00:11:26
Sat Apr 15 16:28:57 2023  
Sat Apr 15 16:28:57 2023  
Sat Apr 15 16:28:57 2023  Msieve v. 1.52 (SVN 927)
Sat Apr 15 16:28:57 2023  random seeds: 60192de0 67e8afef
Sat Apr 15 16:28:57 2023  factoring 1640577036943120237255010780921037813062036794161275776329883989267966978093777915708972471586440788028690396588256325510099421395791866203 (139 digits)
Sat Apr 15 16:28:57 2023  searching for 15-digit factors
Sat Apr 15 16:28:58 2023  commencing number field sieve (139-digit input)
Sat Apr 15 16:28:58 2023  R0: -10000000000000000000000000000000000
Sat Apr 15 16:28:58 2023  R1: 1
Sat Apr 15 16:28:58 2023  A0: -1
Sat Apr 15 16:28:58 2023  A1: 0
Sat Apr 15 16:28:58 2023  A2: 0
Sat Apr 15 16:28:58 2023  A3: 0
Sat Apr 15 16:28:58 2023  A4: 0
Sat Apr 15 16:28:58 2023  A5: 58
Sat Apr 15 16:28:58 2023  skew 0.44, size 5.252e-012, alpha 1.560, combined = 2.217e-010 rroots = 1
Sat Apr 15 16:28:58 2023  
Sat Apr 15 16:28:58 2023  commencing square root phase
Sat Apr 15 16:28:58 2023  reading relations for dependency 1
Sat Apr 15 16:28:58 2023  read 500563 cycles
Sat Apr 15 16:28:58 2023  cycles contain 1701708 unique relations
Sat Apr 15 16:29:02 2023  read 1701708 relations
Sat Apr 15 16:29:06 2023  multiplying 1701708 relations
Sat Apr 15 16:29:32 2023  multiply complete, coefficients have about 46.14 million bits
Sat Apr 15 16:29:32 2023  initial square root is modulo 4210061
Sat Apr 15 16:30:06 2023  sqrtTime: 68
Sat Apr 15 16:30:06 2023  prp65 factor: 19961449843165765139870576013620903694425107444919556030861672287
Sat Apr 15 16:30:06 2023  prp74 factor: 82187268451585310691530271656376593863764351208244407217188514718090683269
Sat Apr 15 16:30:06 2023  elapsed time 00:01:09
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62078Caleb BirtwistleMarch 23, 2023 11:32:12 UTC 2023 年 3 月 23 日 (木) 20 時 32 分 12 秒 (日本時間)

29×10174-53

c114

name 名前Ignacio Santos
date 日付February 22, 2023 14:44:55 UTC 2023 年 2 月 22 日 (水) 23 時 44 分 55 秒 (日本時間)
composite number 合成数
158794109744823163829311332775511036297060005960959304374758276705335698579576503677758317673855385076096575545799<114>
prime factors 素因数
154529899634151557550661621768667193821<39>
1027594725168184885263290200169539103818558296345116375250667285237727519219<76>
factorization results 素因数分解の結果
-> makeJobFile(): Adjusted to q0=1750000, q1=1850000.
->               client 1 q0: 1750000
      LatSieveTime: 85
        LatSieveTime: 88
        LatSieveTime: 89
        LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 115
        LatSieveTime: 117
        LatSieveTime: 119
-> makeJobFile(): Adjusted to q0=1850001, q1=1950000.
->               client 1 q0: 1850001
      LatSieveTime: 85
        LatSieveTime: 85
        LatSieveTime: 89
        LatSieveTime: 90
        LatSieveTime: 91
        LatSieveTime: 91
        LatSieveTime: 91
        LatSieveTime: 93
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 118
-> makeJobFile(): Adjusted to q0=1950001, q1=2050000.
->               client 1 q0: 1950001
      LatSieveTime: 85
        LatSieveTime: 88
        LatSieveTime: 89
        LatSieveTime: 90
        LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 107
        LatSieveTime: 109
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 116
        LatSieveTime: 117
-> makeJobFile(): Adjusted to q0=2050001, q1=2150000.
->               client 1 q0: 2050001
      LatSieveTime: 82
        LatSieveTime: 88
        LatSieveTime: 90
        LatSieveTime: 91
        LatSieveTime: 91
        LatSieveTime: 91
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 112
        LatSieveTime: 114
        LatSieveTime: 122
-> makeJobFile(): Adjusted to q0=2150001, q1=2250000.
->               client 1 q0: 2150001
      LatSieveTime: 83
        LatSieveTime: 85
        LatSieveTime: 85
        LatSieveTime: 85
        LatSieveTime: 86
        LatSieveTime: 86
        LatSieveTime: 87
        LatSieveTime: 89
        LatSieveTime: 90
        LatSieveTime: 91
        LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 112
        LatSieveTime: 121
        LatSieveTime: 122
-> makeJobFile(): Adjusted to q0=2250001, q1=2350000.
->               client 1 q0: 2250001
      LatSieveTime: 83
        LatSieveTime: 86
        LatSieveTime: 88
        LatSieveTime: 90
        LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
-> makeJobFile(): Adjusted to q0=2350001, q1=2450000.
->               client 1 q0: 2350001
      LatSieveTime: 84
        LatSieveTime: 84
        LatSieveTime: 85
        LatSieveTime: 86
        LatSieveTime: 88
        LatSieveTime: 89
        LatSieveTime: 89
        LatSieveTime: 89
        LatSieveTime: 91
        LatSieveTime: 91
        LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 111
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 116
        LatSieveTime: 117
-> makeJobFile(): Adjusted to q0=2450001, q1=2550000.
->               client 1 q0: 2450001
      LatSieveTime: 80
        LatSieveTime: 80
        LatSieveTime: 89
        LatSieveTime: 89
        LatSieveTime: 90
        LatSieveTime: 90
        LatSieveTime: 91
        LatSieveTime: 93
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 98
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 115
-> makeJobFile(): Adjusted to q0=2550001, q1=2650000.
->               client 1 q0: 2550001
      LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 119
        LatSieveTime: 126
-> makeJobFile(): Adjusted to q0=2650001, q1=2750000.
->               client 1 q0: 2650001
      LatSieveTime: 80
        LatSieveTime: 82
        LatSieveTime: 86
        LatSieveTime: 89
        LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 121
-> makeJobFile(): Adjusted to q0=2750001, q1=2850000.
->               client 1 q0: 2750001
      LatSieveTime: 83
        LatSieveTime: 91
        LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 110
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 118
        LatSieveTime: 122
        LatSieveTime: 123
Wed Feb 22 15:32:40 2023  
Wed Feb 22 15:32:40 2023  
Wed Feb 22 15:32:40 2023  Msieve v. 1.52 (SVN 927)
Wed Feb 22 15:32:40 2023  random seeds: 6525a668 9a2480ee
Wed Feb 22 15:32:40 2023  factoring 158794109744823163829311332775511036297060005960959304374758276705335698579576503677758317673855385076096575545799 (114 digits)
Wed Feb 22 15:32:40 2023  searching for 15-digit factors
Wed Feb 22 15:32:40 2023  commencing number field sieve (114-digit input)
Wed Feb 22 15:32:40 2023  R0: -7319179396652453440347
Wed Feb 22 15:32:40 2023  R1: 137602016299
Wed Feb 22 15:32:40 2023  A0: -3949859962050672528831516320
Wed Feb 22 15:32:40 2023  A1: 647632541604329756862196
Wed Feb 22 15:32:40 2023  A2: -41910003843521032
Wed Feb 22 15:32:40 2023  A3: -653899242949645
Wed Feb 22 15:32:40 2023  A4: 586146126
Wed Feb 22 15:32:40 2023  A5: 7560
Wed Feb 22 15:32:40 2023  skew 84190.12, size 5.482e-011, alpha -6.384, combined = 5.408e-010 rroots = 5
Wed Feb 22 15:32:40 2023  
Wed Feb 22 15:32:40 2023  commencing relation filtering
Wed Feb 22 15:32:40 2023  estimated available RAM is 65413.5 MB
Wed Feb 22 15:32:40 2023  commencing duplicate removal, pass 1
Wed Feb 22 15:32:54 2023  found 720363 hash collisions in 7020818 relations
Wed Feb 22 15:33:02 2023  added 57214 free relations
Wed Feb 22 15:33:02 2023  commencing duplicate removal, pass 2
Wed Feb 22 15:33:04 2023  found 470195 duplicates and 6607837 unique relations
Wed Feb 22 15:33:04 2023  memory use: 24.6 MB
Wed Feb 22 15:33:04 2023  reading ideals above 100000
Wed Feb 22 15:33:04 2023  commencing singleton removal, initial pass
Wed Feb 22 15:33:29 2023  memory use: 188.3 MB
Wed Feb 22 15:33:29 2023  reading all ideals from disk
Wed Feb 22 15:33:29 2023  memory use: 227.1 MB
Wed Feb 22 15:33:29 2023  keeping 7680132 ideals with weight <= 200, target excess is 35670
Wed Feb 22 15:33:29 2023  commencing in-memory singleton removal
Wed Feb 22 15:33:30 2023  begin with 6607837 relations and 7680132 unique ideals
Wed Feb 22 15:33:32 2023  reduce to 1687194 relations and 1745325 ideals in 20 passes
Wed Feb 22 15:33:32 2023  max relations containing the same ideal: 82
Wed Feb 22 15:33:32 2023  filtering wants 1000000 more relations
Wed Feb 22 15:33:32 2023  elapsed time 00:00:52
-> makeJobFile(): Adjusted to q0=2850001, q1=2950000.
->               client 1 q0: 2850001
       LatSieveTime: 86
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        LatSieveTime: 118
Wed Feb 22 15:35:35 2023  
Wed Feb 22 15:35:35 2023  
Wed Feb 22 15:35:35 2023  Msieve v. 1.52 (SVN 927)
Wed Feb 22 15:35:35 2023  random seeds: 94558e50 c8f88e2a
Wed Feb 22 15:35:35 2023  factoring 158794109744823163829311332775511036297060005960959304374758276705335698579576503677758317673855385076096575545799 (114 digits)
Wed Feb 22 15:35:35 2023  searching for 15-digit factors
Wed Feb 22 15:35:35 2023  commencing number field sieve (114-digit input)
Wed Feb 22 15:35:35 2023  R0: -7319179396652453440347
Wed Feb 22 15:35:35 2023  R1: 137602016299
Wed Feb 22 15:35:35 2023  A0: -3949859962050672528831516320
Wed Feb 22 15:35:35 2023  A1: 647632541604329756862196
Wed Feb 22 15:35:35 2023  A2: -41910003843521032
Wed Feb 22 15:35:35 2023  A3: -653899242949645
Wed Feb 22 15:35:35 2023  A4: 586146126
Wed Feb 22 15:35:35 2023  A5: 7560
Wed Feb 22 15:35:35 2023  skew 84190.12, size 5.482e-011, alpha -6.384, combined = 5.408e-010 rroots = 5
Wed Feb 22 15:35:35 2023  
Wed Feb 22 15:35:35 2023  commencing relation filtering
Wed Feb 22 15:35:35 2023  estimated available RAM is 65413.5 MB
Wed Feb 22 15:35:35 2023  commencing duplicate removal, pass 1
Wed Feb 22 15:35:51 2023  found 842172 hash collisions in 7710045 relations
Wed Feb 22 15:35:59 2023  added 844 free relations
Wed Feb 22 15:35:59 2023  commencing duplicate removal, pass 2
Wed Feb 22 15:36:01 2023  found 548039 duplicates and 7162850 unique relations
Wed Feb 22 15:36:01 2023  memory use: 26.6 MB
Wed Feb 22 15:36:01 2023  reading ideals above 100000
Wed Feb 22 15:36:01 2023  commencing singleton removal, initial pass
Wed Feb 22 15:36:28 2023  memory use: 188.3 MB
Wed Feb 22 15:36:28 2023  reading all ideals from disk
Wed Feb 22 15:36:28 2023  memory use: 246.3 MB
Wed Feb 22 15:36:28 2023  keeping 7983391 ideals with weight <= 200, target excess is 38852
Wed Feb 22 15:36:28 2023  commencing in-memory singleton removal
Wed Feb 22 15:36:29 2023  begin with 7162850 relations and 7983391 unique ideals
Wed Feb 22 15:36:31 2023  reduce to 2313857 relations and 2211575 ideals in 15 passes
Wed Feb 22 15:36:31 2023  max relations containing the same ideal: 92
Wed Feb 22 15:36:31 2023  removing 270213 relations and 241606 ideals in 28607 cliques
Wed Feb 22 15:36:31 2023  commencing in-memory singleton removal
Wed Feb 22 15:36:31 2023  begin with 2043644 relations and 2211575 unique ideals
Wed Feb 22 15:36:32 2023  reduce to 2017564 relations and 1943446 ideals in 10 passes
Wed Feb 22 15:36:32 2023  max relations containing the same ideal: 89
Wed Feb 22 15:36:32 2023  removing 203869 relations and 175262 ideals in 28607 cliques
Wed Feb 22 15:36:32 2023  commencing in-memory singleton removal
Wed Feb 22 15:36:32 2023  begin with 1813695 relations and 1943446 unique ideals
Wed Feb 22 15:36:32 2023  reduce to 1796096 relations and 1750349 ideals in 8 passes
Wed Feb 22 15:36:32 2023  max relations containing the same ideal: 86
Wed Feb 22 15:36:33 2023  relations with 0 large ideals: 108
Wed Feb 22 15:36:33 2023  relations with 1 large ideals: 348
Wed Feb 22 15:36:33 2023  relations with 2 large ideals: 4963
Wed Feb 22 15:36:33 2023  relations with 3 large ideals: 40276
Wed Feb 22 15:36:33 2023  relations with 4 large ideals: 167728
Wed Feb 22 15:36:33 2023  relations with 5 large ideals: 395277
Wed Feb 22 15:36:33 2023  relations with 6 large ideals: 535282
Wed Feb 22 15:36:33 2023  relations with 7+ large ideals: 652114
Wed Feb 22 15:36:33 2023  commencing 2-way merge
Wed Feb 22 15:36:33 2023  reduce to 1015191 relation sets and 969445 unique ideals
Wed Feb 22 15:36:33 2023  ignored 1 oversize relation sets
Wed Feb 22 15:36:33 2023  commencing full merge
Wed Feb 22 15:36:44 2023  memory use: 112.9 MB
Wed Feb 22 15:36:44 2023  found 505437 cycles, need 499645
Wed Feb 22 15:36:44 2023  weight of 499645 cycles is about 35155516 (70.36/cycle)
Wed Feb 22 15:36:44 2023  distribution of cycle lengths:
Wed Feb 22 15:36:44 2023  1 relations: 57146
Wed Feb 22 15:36:44 2023  2 relations: 56790
Wed Feb 22 15:36:44 2023  3 relations: 57044
Wed Feb 22 15:36:44 2023  4 relations: 51213
Wed Feb 22 15:36:44 2023  5 relations: 46494
Wed Feb 22 15:36:44 2023  6 relations: 39332
Wed Feb 22 15:36:44 2023  7 relations: 34623
Wed Feb 22 15:36:44 2023  8 relations: 29803
Wed Feb 22 15:36:44 2023  9 relations: 25235
Wed Feb 22 15:36:44 2023  10+ relations: 101965
Wed Feb 22 15:36:44 2023  heaviest cycle: 22 relations
Wed Feb 22 15:36:44 2023  commencing cycle optimization
Wed Feb 22 15:36:45 2023  start with 3045235 relations
Wed Feb 22 15:36:48 2023  pruned 60705 relations
Wed Feb 22 15:36:48 2023  memory use: 103.2 MB
Wed Feb 22 15:36:48 2023  distribution of cycle lengths:
Wed Feb 22 15:36:48 2023  1 relations: 57146
Wed Feb 22 15:36:48 2023  2 relations: 57925
Wed Feb 22 15:36:48 2023  3 relations: 58669
Wed Feb 22 15:36:48 2023  4 relations: 52302
Wed Feb 22 15:36:48 2023  5 relations: 47229
Wed Feb 22 15:36:48 2023  6 relations: 39683
Wed Feb 22 15:36:48 2023  7 relations: 34893
Wed Feb 22 15:36:48 2023  8 relations: 29774
Wed Feb 22 15:36:48 2023  9 relations: 24982
Wed Feb 22 15:36:48 2023  10+ relations: 97042
Wed Feb 22 15:36:48 2023  heaviest cycle: 22 relations
Wed Feb 22 15:36:49 2023  RelProcTime: 74
Wed Feb 22 15:36:49 2023  elapsed time 00:01:14
Wed Feb 22 15:36:49 2023  
Wed Feb 22 15:36:49 2023  
Wed Feb 22 15:36:49 2023  Msieve v. 1.52 (SVN 927)
Wed Feb 22 15:36:49 2023  random seeds: b9dea1e0 6590bf66
Wed Feb 22 15:36:49 2023  factoring 158794109744823163829311332775511036297060005960959304374758276705335698579576503677758317673855385076096575545799 (114 digits)
Wed Feb 22 15:36:49 2023  searching for 15-digit factors
Wed Feb 22 15:36:49 2023  commencing number field sieve (114-digit input)
Wed Feb 22 15:36:49 2023  R0: -7319179396652453440347
Wed Feb 22 15:36:49 2023  R1: 137602016299
Wed Feb 22 15:36:49 2023  A0: -3949859962050672528831516320
Wed Feb 22 15:36:49 2023  A1: 647632541604329756862196
Wed Feb 22 15:36:49 2023  A2: -41910003843521032
Wed Feb 22 15:36:49 2023  A3: -653899242949645
Wed Feb 22 15:36:49 2023  A4: 586146126
Wed Feb 22 15:36:49 2023  A5: 7560
Wed Feb 22 15:36:49 2023  skew 84190.12, size 5.482e-011, alpha -6.384, combined = 5.408e-010 rroots = 5
Wed Feb 22 15:36:49 2023  
Wed Feb 22 15:36:49 2023  commencing linear algebra
Wed Feb 22 15:36:49 2023  read 499645 cycles
Wed Feb 22 15:36:50 2023  cycles contain 1743353 unique relations
Wed Feb 22 15:36:53 2023  read 1743353 relations
Wed Feb 22 15:36:55 2023  using 20 quadratic characters above 134215704
Wed Feb 22 15:36:59 2023  building initial matrix
Wed Feb 22 15:37:07 2023  memory use: 218.2 MB
Wed Feb 22 15:37:07 2023  read 499645 cycles
Wed Feb 22 15:37:08 2023  matrix is 499467 x 499645 (150.2 MB) with weight 47352825 (94.77/col)
Wed Feb 22 15:37:08 2023  sparse part has weight 33875225 (67.80/col)
Wed Feb 22 15:37:10 2023  filtering completed in 2 passes
Wed Feb 22 15:37:10 2023  matrix is 498578 x 498756 (150.1 MB) with weight 47317461 (94.87/col)
Wed Feb 22 15:37:10 2023  sparse part has weight 33865034 (67.90/col)
Wed Feb 22 15:37:10 2023  matrix starts at (0, 0)
Wed Feb 22 15:37:11 2023  matrix is 498578 x 498756 (150.1 MB) with weight 47317461 (94.87/col)
Wed Feb 22 15:37:11 2023  sparse part has weight 33865034 (67.90/col)
Wed Feb 22 15:37:11 2023  saving the first 48 matrix rows for later
Wed Feb 22 15:37:11 2023  matrix includes 64 packed rows
Wed Feb 22 15:37:11 2023  matrix is 498530 x 498756 (144.1 MB) with weight 37345493 (74.88/col)
Wed Feb 22 15:37:11 2023  sparse part has weight 32788786 (65.74/col)
Wed Feb 22 15:37:11 2023  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
Wed Feb 22 15:37:12 2023  commencing Lanczos iteration (32 threads)
Wed Feb 22 15:37:12 2023  memory use: 112.3 MB
Wed Feb 22 15:37:18 2023  linear algebra at 2.4%, ETA 0h 4m
Wed Feb 22 15:41:04 2023  lanczos halted after 7886 iterations (dim = 498530)
Wed Feb 22 15:41:04 2023  recovered 29 nontrivial dependencies
Wed Feb 22 15:41:04 2023  BLanczosTime: 255
Wed Feb 22 15:41:04 2023  elapsed time 00:04:15
Wed Feb 22 15:41:04 2023  
Wed Feb 22 15:41:04 2023  
Wed Feb 22 15:41:04 2023  Msieve v. 1.52 (SVN 927)
Wed Feb 22 15:41:04 2023  random seeds: 44b860d4 a4254868
Wed Feb 22 15:41:04 2023  factoring 158794109744823163829311332775511036297060005960959304374758276705335698579576503677758317673855385076096575545799 (114 digits)
Wed Feb 22 15:41:04 2023  searching for 15-digit factors
Wed Feb 22 15:41:04 2023  commencing number field sieve (114-digit input)
Wed Feb 22 15:41:04 2023  R0: -7319179396652453440347
Wed Feb 22 15:41:04 2023  R1: 137602016299
Wed Feb 22 15:41:04 2023  A0: -3949859962050672528831516320
Wed Feb 22 15:41:04 2023  A1: 647632541604329756862196
Wed Feb 22 15:41:04 2023  A2: -41910003843521032
Wed Feb 22 15:41:04 2023  A3: -653899242949645
Wed Feb 22 15:41:04 2023  A4: 586146126
Wed Feb 22 15:41:04 2023  A5: 7560
Wed Feb 22 15:41:04 2023  skew 84190.12, size 5.482e-011, alpha -6.384, combined = 5.408e-010 rroots = 5
Wed Feb 22 15:41:04 2023  
Wed Feb 22 15:41:04 2023  commencing square root phase
Wed Feb 22 15:41:04 2023  reading relations for dependency 1
Wed Feb 22 15:41:04 2023  read 249153 cycles
Wed Feb 22 15:41:05 2023  cycles contain 870142 unique relations
Wed Feb 22 15:41:07 2023  read 870142 relations
Wed Feb 22 15:41:09 2023  multiplying 870142 relations
Wed Feb 22 15:41:29 2023  multiply complete, coefficients have about 37.68 million bits
Wed Feb 22 15:41:29 2023  initial square root is modulo 257219
Wed Feb 22 15:41:53 2023  GCD is 1, no factor found
Wed Feb 22 15:41:53 2023  reading relations for dependency 2
Wed Feb 22 15:41:53 2023  read 248948 cycles
Wed Feb 22 15:41:53 2023  cycles contain 871054 unique relations
Wed Feb 22 15:41:55 2023  read 871054 relations
Wed Feb 22 15:41:57 2023  multiplying 871054 relations
Wed Feb 22 15:42:17 2023  multiply complete, coefficients have about 37.72 million bits
Wed Feb 22 15:42:17 2023  initial square root is modulo 260363
Wed Feb 22 15:42:42 2023  GCD is 1, no factor found
Wed Feb 22 15:42:42 2023  reading relations for dependency 3
Wed Feb 22 15:42:42 2023  read 249290 cycles
Wed Feb 22 15:42:42 2023  cycles contain 870506 unique relations
Wed Feb 22 15:42:44 2023  read 870506 relations
Wed Feb 22 15:42:46 2023  multiplying 870506 relations
Wed Feb 22 15:43:06 2023  multiply complete, coefficients have about 37.70 million bits
Wed Feb 22 15:43:06 2023  initial square root is modulo 258413
Wed Feb 22 15:43:30 2023  sqrtTime: 146
Wed Feb 22 15:43:30 2023  prp39 factor: 154529899634151557550661621768667193821
Wed Feb 22 15:43:30 2023  prp76 factor: 1027594725168184885263290200169539103818558296345116375250667285237727519219
Wed Feb 22 15:43:30 2023  elapsed time 00:02:26
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10175-53

c171

name 名前Bob Backstrom
date 日付March 13, 2023 16:39:20 UTC 2023 年 3 月 14 日 (火) 1 時 39 分 20 秒 (日本時間)
composite number 合成数
723471666105352442964238047125447492172784991705023138619665955668649976923748581122378974416545048584864473799099402512192992303758310568923149845950429717222367748132071<171>
prime factors 素因数
115926584217858334501447567555776227874096198366586061008861905554507581133<75>
6240774460720309958866222664948301317691200445414081833801237028763231761108024541464568634579587<97>
factorization results 素因数分解の結果
Number: n
N=723471666105352442964238047125447492172784991705023138619665955668649976923748581122378974416545048584864473799099402512192992303758310568923149845950429717222367748132071  ( 171 digits)
SNFS difficulty: 176 digits.
Divisors found:

Mon Mar 13 18:53:39 2023  prp75 factor: 115926584217858334501447567555776227874096198366586061008861905554507581133
Mon Mar 13 18:53:39 2023  prp97 factor: 6240774460720309958866222664948301317691200445414081833801237028763231761108024541464568634579587
Mon Mar 13 18:53:39 2023  elapsed time 00:20:31 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.095).
Factorization parameters were as follows:
#
# N = 29x10^175-5 = 96(174)5
#
n: 723471666105352442964238047125447492172784991705023138619665955668649976923748581122378974416545048584864473799099402512192992303758310568923149845950429717222367748132071
m: 100000000000000000000000000000000000
deg: 5
c5: 29
c0: -5
skew: 0.70
# Murphy_E = 1.673e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 21200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2167074 hash collisions in 15366155 relations (14007013 unique)
Msieve: matrix is 768427 x 768652 (216.0 MB)

Sieving start time: 2023/03/13 16:23:17
Sieving end time  : 2023/03/13 18:32:52

Total sieving time: 2hrs 9min 35secs.

Total relation processing time: 0hrs 16min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 22sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,51,51,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10178-53

c153

name 名前Bob Backstrom
date 日付April 1, 2023 20:29:23 UTC 2023 年 4 月 2 日 (日) 5 時 29 分 23 秒 (日本時間)
composite number 合成数
109612484629819661668726113618434314936501503192896259568086841792130355558567074724376933021357275472647046864458970918330802263019041177625795040504079<153>
prime factors 素因数
1749590554917128634823952431140965832192752572951116112601<58>
62650363721820379191021234650053623402161755590883329868546663446277937115864475696626275248679<95>
factorization results 素因数分解の結果
Number: n
N=109612484629819661668726113618434314936501503192896259568086841792130355558567074724376933021357275472647046864458970918330802263019041177625795040504079  ( 153 digits)
SNFS difficulty: 178 digits.
Divisors found:

Sun Apr  2 00:27:12 2023  prp58 factor: 1749590554917128634823952431140965832192752572951116112601
Sun Apr  2 00:27:12 2023  prp95 factor: 62650363721820379191021234650053623402161755590883329868546663446277937115864475696626275248679
Sun Apr  2 00:27:12 2023  elapsed time 00:38:37 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.101).
Factorization parameters were as follows:
#
# N = 29x10^178-5 = 96(177)5
#
n: 109612484629819661668726113618434314936501503192896259568086841792130355558567074724376933021357275472647046864458970918330802263019041177625795040504079
m: 100000000000000000000000000000000000
deg: 5
c5: 5800
c0: -1
skew: 0.18
# Murphy_E = 9.877e-11
type: snfs
lss: 1
rlim: 6700000
alim: 6700000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 21750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2128956 hash collisions in 15447572 relations (14142908 unique)
Msieve: matrix is 1116517 x 1116742 (313.2 MB)

Sieving start time: 2023/04/01 20:56:07
Sieving end time  : 2023/04/01 23:48:20

Total sieving time: 2hrs 52min 13secs.

Total relation processing time: 0hrs 33min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 24sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6700000,6700000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 31, 2023 08:28:21 UTC 2023 年 3 月 31 日 (金) 17 時 28 分 21 秒 (日本時間)

29×10179-53

c169

name 名前Bob Backstrom
date 日付March 19, 2023 15:01:23 UTC 2023 年 3 月 20 日 (月) 0 時 1 分 23 秒 (日本時間)
composite number 合成数
5668305315594183699536618515935927965333107458090289762231524704742703526196877636844538661434790056065726917396055811937870275276369293272246628897089099075583468880889<169>
prime factors 素因数
15302491579354028248964485462758195030465489761489870482739328191706055446106177<80>
370417149795514719335895994317091878150948095061730167736234608692760750071704544522454457<90>
factorization results 素因数分解の結果
Number: n
N=5668305315594183699536618515935927965333107458090289762231524704742703526196877636844538661434790056065726917396055811937870275276369293272246628897089099075583468880889  ( 169 digits)
SNFS difficulty: 179 digits.
Divisors found:

Fri Mar 17 20:56:30 2023  prp80 factor: 15302491579354028248964485462758195030465489761489870482739328191706055446106177
Fri Mar 17 20:56:30 2023  prp90 factor: 370417149795514719335895994317091878150948095061730167736234608692760750071704544522454457
Fri Mar 17 20:56:30 2023  elapsed time 00:47:24 (Msieve 1.44 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.090).
Factorization parameters were as follows:
#
# N = 29x10^179-5 = 96(178)5
#
n: 5668305315594183699536618515935927965333107458090289762231524704742703526196877636844538661434790056065726917396055811937870275276369293272246628897089099075583468880889
m: 100000000000000000000000000000000000
deg: 5
c5: 58000
c0: -1
skew: 0.11
# Murphy_E = 9.516e-11
type: snfs
lss: 1
rlim: 6900000
alim: 6900000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6900000/6900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 21850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1925100 hash collisions in 14672886 relations (13549028 unique)
Msieve: matrix is 1115927 x 1116155 (316.1 MB)

Sieving start time: 2023/03/17 17:30:17
Sieving end time  : 2023/03/17 20:08:52

Total sieving time: 2hrs 38min 35secs.

Total relation processing time: 0hrs 35min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 3sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,6900000,6900000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10183-53

c137

name 名前Eric Jeancolas
date 日付June 15, 2023 03:10:31 UTC 2023 年 6 月 15 日 (木) 12 時 10 分 31 秒 (日本時間)
composite number 合成数
58970346404627700356171503121089762305753034665219808640431231003413318067035434163635787695315823293848729308779763419454800327008630249<137>
prime factors 素因数
22185178661666852692913841029539039640233420589617767553929209415299<68>
2658096529396939506013483675046130528171567810718668792195996886550051<70>
factorization results 素因数分解の結果
58970346404627700356171503121089762305753034665219808640431231003413318067035434163635787695315823293848729308779763419454800327008630249=22185178661666852692913841029539039640233420589617767553929209415299*2658096529396939506013483675046130528171567810718668792195996886550051

cado polynomial
n: 58970346404627700356171503121089762305753034665219808640431231003413318067035434163635787695315823293848729308779763419454800327008630249
skew: 0.18
type: snfs
c0: -1
c5: 5800
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 5800*x^5-1
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8100000
tasks.lim1 = 8100000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2658096529396939506013483675046130528171567810718668792195996886550051 22185178661666852692913841029539039640233420589617767553929209415299
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 422.32/135.172
Info:HTTP server: Got notification to stop serving Workunits
Info:Generate Factor Base: Total cpu/real time for makefb: 3.46/1.90305
Info:Generate Free Relations: Total cpu/real time for freerel: 127.98/34.5831
Info:Square Root: Total cpu/real time for sqrt: 422.32/135.172
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 88.14/86.3155
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 83.2s
Info:Quadratic Characters: Total cpu/real time for characters: 50.27/25.2941
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 211.53/201.423
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 178.8s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 93.13/88.0523
Info:Filtering - Merging: Merged matrix has 1439482 rows and total weight 245802911 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 396.09/107.756
Info:Filtering - Merging: Total cpu/real time for replay: 51.42/56.1796
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22416499
Info:Lattice Sieving: Average J: 1893.77 for 1423416 special-q, max bucket fill -bkmult 1.0,1s:1.164040
Info:Lattice Sieving: Total time: 233753s
Info:Linear Algebra: Total cpu/real time for bwc: 37422.3/9973.44
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 23784.88, WCT time 6168.2, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (45056 iterations)
Info:Linear Algebra: Lingen CPU time 217.0, WCT time 220.52
Info:Linear Algebra: Mksol: CPU time 13107.63,  WCT time 3428.03, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (22528 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 477370/127986
Info:root: Cleaning up computation data in /tmp/cado.de6rid7k
2658096529396939506013483675046130528171567810718668792195996886550051 22185178661666852692913841029539039640233420589617767553929209415299
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 18, 2023 15:19:33 UTC 2023 年 3 月 19 日 (日) 0 時 19 分 33 秒 (日本時間)

29×10186-53

c135

name 名前Eric Jeancolas
date 日付June 15, 2023 06:53:16 UTC 2023 年 6 月 15 日 (木) 15 時 53 分 16 秒 (日本時間)
composite number 合成数
224982145448605984932620392510479557554694344365797947316697925059210201870987699926962595097285965224623705369946329214785898402982131<135>
prime factors 素因数
1249421387467654779202251225408118327224612603381906655997<58>
180069068534678304210811757578342531294421185718457209384174502847203350568623<78>
factorization results 素因数分解の結果
224982145448605984932620392510479557554694344365797947316697925059210201870987699926962595097285965224623705369946329214785898402982131=1249421387467654779202251225408118327224612603381906655997*180069068534678304210811757578342531294421185718457209384174502847203350568623

cado polynomial
n: 224982145448605984932620392510479557554694344365797947316697925059210201870987699926962595097285965224623705369946329214785898402982131
skew: 0.44
type: snfs
c0: -1
c5: 58
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 58*x^5-1
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9100000
tasks.lim1 = 9100000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 180069068534678304210811757578342531294421185718457209384174502847203350568623 1249421387467654779202251225408118327224612603381906655997
Info:Square Root: Total cpu/real time for sqrt: 832.24/259.914
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24090895
Info:Lattice Sieving: Average J: 1895.68 for 1511886 special-q, max bucket fill -bkmult 1.0,1s:1.154560
Info:Lattice Sieving: Total time: 272570s
Info:Linear Algebra: Total cpu/real time for bwc: 48952.1/12621.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 31348.75, WCT time 8031.15, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (54016 iterations)
Info:Linear Algebra: Lingen CPU time 339.38, WCT time 86.26
Info:Linear Algebra: Mksol: CPU time 16946.64,  WCT time 4372.86, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27136 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.83/2.17178
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 414.65/445.68
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 375.9s
Info:Generate Free Relations: Total cpu/real time for freerel: 120.18/31.4211
Info:Square Root: Total cpu/real time for sqrt: 832.24/259.914
Info:Quadratic Characters: Total cpu/real time for characters: 61.74/26.2596
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 99.56/95.5457
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 95.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 281.98/268.611
Info:Filtering - Merging: Merged matrix has 1721435 rows and total weight 293914647 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 445.28/122.241
Info:Filtering - Merging: Total cpu/real time for replay: 64.68/57.5941
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 563847/150097
Info:root: Cleaning up computation data in /tmp/cado.qpa3o1as
180069068534678304210811757578342531294421185718457209384174502847203350568623 1249421387467654779202251225408118327224612603381906655997
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 28, 2023 13:54:19 UTC 2023 年 3 月 28 日 (火) 22 時 54 分 19 秒 (日本時間)

29×10188-53

c186

name 名前Bob Backstrom
date 日付March 27, 2023 13:35:31 UTC 2023 年 3 月 27 日 (月) 22 時 35 分 31 秒 (日本時間)
composite number 合成数
802213001383125864453665283540802213001383125864453665283540802213001383125864453665283540802213001383125864453665283540802213001383125864453665283540802213001383125864453665283540802213<186>
prime factors 素因数
10695242065711605147875710577484638890934732507665649<53>
75006530609997075475008830736757960086285413037952911702920976533686614509680584039172763567759365815463200397453931876935254875246837<134>
factorization results 素因数分解の結果
Number: n
N=802213001383125864453665283540802213001383125864453665283540802213001383125864453665283540802213001383125864453665283540802213001383125864453665283540802213001383125864453665283540802213  ( 186 digits)
SNFS difficulty: 188 digits.
Divisors found:

Tue Mar 28 00:26:19 2023  prp53 factor: 10695242065711605147875710577484638890934732507665649
Tue Mar 28 00:26:19 2023  prp134 factor: 75006530609997075475008830736757960086285413037952911702920976533686614509680584039172763567759365815463200397453931876935254875246837
Tue Mar 28 00:26:19 2023  elapsed time 01:49:52 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.082).
Factorization parameters were as follows:
#
# N = 29x10^188-5 = 96(187)5
#
n: 802213001383125864453665283540802213001383125864453665283540802213001383125864453665283540802213001383125864453665283540802213001383125864453665283540802213001383125864453665283540802213
m: 10000000000000000000000000000000000000
deg: 5
c5: 5800
c0: -1
skew: 0.18
# Murphy_E = 3.875e-11
type: snfs
lss: 1
rlim: 9800000
alim: 9800000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9800000/9800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1333303 hash collisions in 12285611 relations (11679122 unique)
Msieve: matrix is 1817850 x 1818098 (516.2 MB)

Sieving start time: 2023/03/27 16:55:44
Sieving end time  : 2023/03/27 22:36:13

Total sieving time: 5hrs 40min 29secs.

Total relation processing time: 1hrs 40min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 42sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9800000,9800000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10191-53

c178

name 名前Bob Backstrom
date 日付April 3, 2023 06:56:20 UTC 2023 年 4 月 3 日 (月) 15 時 56 分 20 秒 (日本時間)
composite number 合成数
6355570378575882499602740192272090218546297699644747659366887667465298063065140386123480352179000576847338326673893674088545983255082822965540507578658968952640274957532210485987<178>
prime factors 素因数
29703909923139951310856537271538689365027<41>
213964100854775472623960462107987637335759273862428805012134620288987156909531164641415359365953324925250428123512440105588684081265404481<138>
factorization results 素因数分解の結果
Number: n
N=6355570378575882499602740192272090218546297699644747659366887667465298063065140386123480352179000576847338326673893674088545983255082822965540507578658968952640274957532210485987  ( 178 digits)
SNFS difficulty: 191 digits.
Divisors found:

Mon Apr  3 16:33:50 2023  prp41 factor: 29703909923139951310856537271538689365027
Mon Apr  3 16:33:50 2023  prp138 factor: 213964100854775472623960462107987637335759273862428805012134620288987156909531164641415359365953324925250428123512440105588684081265404481
Mon Apr  3 16:33:50 2023  elapsed time 01:43:50 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.071).
Factorization parameters were as follows:
#
# N = 29x10^191-5 = 96(190)5
#
n: 6355570378575882499602740192272090218546297699644747659366887667465298063065140386123480352179000576847338326673893674088545983255082822965540507578658968952640274957532210485987
m: 100000000000000000000000000000000000000
deg: 5
c5: 58
c0: -1
skew: 0.44
# Murphy_E = 3.425e-11
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 16700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1475387 hash collisions in 13126234 relations (12421124 unique)
Msieve: matrix is 1813770 x 1813998 (514.8 MB)

Sieving start time: 2023/04/03 08:09:28
Sieving end time  : 2023/04/03 14:49:46

Total sieving time: 6hrs 40min 18secs.

Total relation processing time: 1hrs 37min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 23sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,11000000,11000000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 3, 2023 07:32:27 UTC 2023 年 3 月 3 日 (金) 16 時 32 分 27 秒 (日本時間)

29×10194-53

c135

name 名前Dmitry Domanov
date 日付April 12, 2023 17:23:42 UTC 2023 年 4 月 13 日 (木) 2 時 23 分 42 秒 (日本時間)
composite number 合成数
454905891993377973378604206737922084580091929230844072207663467226480335334992739141615338397391439654207973725396341014673769953280349<135>
prime factors 素因数
253262068101795649399945199193483297307<39>
1796186438035932046781526225107599512592313480729254309262108394568057230296585381265892359045607<97>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2971831330
Step 1 took 28457ms
********** Factor found in step 1: 253262068101795649399945199193483297307
Found prime factor of 39 digits: 253262068101795649399945199193483297307
Prime cofactor 1796186438035932046781526225107599512592313480729254309262108394568057230296585381265892359045607 has 97 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 3, 2023 07:32:35 UTC 2023 年 3 月 3 日 (金) 16 時 32 分 35 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovApril 11, 2023 22:01:29 UTC 2023 年 4 月 12 日 (水) 7 時 1 分 29 秒 (日本時間)

29×10195-53

c192

name 名前Bob Backstrom
date 日付April 20, 2023 12:47:06 UTC 2023 年 4 月 20 日 (木) 21 時 47 分 6 秒 (日本時間)
composite number 合成数
102820471910510734102714105905086067826056125795529082238649860837809569394954705809356662943856476803346983637362832172171107447393146483717137336240670814940878228651456327890939389104575511<192>
prime factors 素因数
24884539950602763346402956690459085957935757<44>
69425335403420473502663720741558646794576927211715748139883<59>
59515760855854966974804040304899988464569669470748174116584226908765791079191775617326681<89>
factorization results 素因数分解の結果
Number: n
N=102820471910510734102714105905086067826056125795529082238649860837809569394954705809356662943856476803346983637362832172171107447393146483717137336240670814940878228651456327890939389104575511  ( 192 digits)
SNFS difficulty: 196 digits.
Divisors found:

Thu Apr 20 22:34:59 2023  prp44 factor: 24884539950602763346402956690459085957935757
Thu Apr 20 22:34:59 2023  prp59 factor: 69425335403420473502663720741558646794576927211715748139883
Thu Apr 20 22:34:59 2023  prp89 factor: 59515760855854966974804040304899988464569669470748174116584226908765791079191775617326681
Thu Apr 20 22:34:59 2023  elapsed time 01:57:52 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.117).
Factorization parameters were as follows:
#
# N = 29x10^195-5 = 96(194)5
#
n: 102820471910510734102714105905086067826056125795529082238649860837809569394954705809356662943856476803346983637362832172171107447393146483717137336240670814940878228651456327890939389104575511
m: 1000000000000000000000000000000000000000
deg: 5
c5: 29
c0: -5
skew: 0.70
# Murphy_E = 2.543e-11
type: snfs
lss: 1
rlim: 13200000
alim: 13200000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13200000/13200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 25014281)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1572169 hash collisions in 13528803 relations (12740659 unique)
Msieve: matrix is 1932879 x 1933106 (551.2 MB)

Sieving start time: 2023/04/20 12:13:52
Sieving end time  : 2023/04/20 20:36:52

Total sieving time: 8hrs 23min 0secs.

Total relation processing time: 1hrs 49min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 47sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13200000,13200000,27,27,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 3, 2023 07:32:43 UTC 2023 年 3 月 3 日 (金) 16 時 32 分 43 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovApril 11, 2023 22:00:56 UTC 2023 年 4 月 12 日 (水) 7 時 0 分 56 秒 (日本時間)

29×10196-53

c168

name 名前Bob Backstrom
date 日付May 6, 2023 05:15:32 UTC 2023 年 5 月 6 日 (土) 14 時 15 分 32 秒 (日本時間)
composite number 合成数
307067907906818239011445898101149121105106088312878314383359152836719433112165235586274218803982079835679147271834478786535126118872161522508243137488898480142872420441<168>
prime factors 素因数
64582924961830393914147355906099823135569354786247444154620762188581109<71>
4754629928704848696061932998338960377797579742289577706698039043490817916631742248155876019972949<97>
factorization results 素因数分解の結果
Number: n
N=307067907906818239011445898101149121105106088312878314383359152836719433112165235586274218803982079835679147271834478786535126118872161522508243137488898480142872420441  ( 168 digits)
SNFS difficulty: 196 digits.
Divisors found:

Sat May  6 15:06:41 2023  prp71 factor: 64582924961830393914147355906099823135569354786247444154620762188581109
Sat May  6 15:06:41 2023  prp97 factor: 4754629928704848696061932998338960377797579742289577706698039043490817916631742248155876019972949
Sat May  6 15:06:41 2023  elapsed time 02:16:59 (Msieve 1.44 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.084).
Factorization parameters were as follows:
#
# N = 29x10^196-5 = 96(195)5
#
n: 307067907906818239011445898101149121105106088312878314383359152836719433112165235586274218803982079835679147271834478786535126118872161522508243137488898480142872420441
m: 1000000000000000000000000000000000000000
deg: 5
c5: 58
c0: -1
skew: 0.44
# Murphy_E = 2.124e-11
type: snfs
lss: 1
rlim: 13300000
alim: 13300000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13300000/13300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 32250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1931199 hash collisions in 14534369 relations (13388621 unique)
Msieve: matrix is 2028764 x 2028990 (573.1 MB)

Sieving start time: 2023/05/06 01:15:44
Sieving end time  : 2023/05/06 12:49:25

Total sieving time: 11hrs 33min 41secs.

Total relation processing time: 2hrs 0min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 12min 6sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13300000,13300000,27,27,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 3, 2023 07:32:51 UTC 2023 年 3 月 3 日 (金) 16 時 32 分 51 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovApril 11, 2023 22:01:05 UTC 2023 年 4 月 12 日 (水) 7 時 1 分 5 秒 (日本時間)

29×10197-53

c197

name 名前Bob Backstrom
date 日付April 23, 2023 19:46:38 UTC 2023 年 4 月 24 日 (月) 4 時 46 分 38 秒 (日本時間)
composite number 合成数
27619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619<197>
prime factors 素因数
24416430917487600872791532842387081204436798003930247260844042991298060485223874583<83>
1131166455588160166013577079653697759479840353357297135114432005788421505762501514987223646945276273531341134115893<115>
factorization results 素因数分解の結果
Number: n
N=27619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619  ( 197 digits)
SNFS difficulty: 197 digits.
Divisors found:

Mon Apr 24 05:35:20 2023  prp83 factor: 24416430917487600872791532842387081204436798003930247260844042991298060485223874583
Mon Apr 24 05:35:20 2023  prp115 factor: 1131166455588160166013577079653697759479840353357297135114432005788421505762501514987223646945276273531341134115893
Mon Apr 24 05:35:20 2023  elapsed time 02:51:29 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.081).
Factorization parameters were as follows:
#
# N = 29x10^197-5 = 96(196)5
#
n: 27619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619
m: 1000000000000000000000000000000000000000
deg: 5
c5: 580
c0: -1
skew: 0.28
# Murphy_E = 1.708e-11
type: snfs
lss: 1
rlim: 13800000
alim: 13800000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13800000/13800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 32523331)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1795814 hash collisions in 13643956 relations (12577606 unique)
Msieve: matrix is 2343254 x 2343479 (665.7 MB)

Sieving start time: 2023/04/23 14:28:56
Sieving end time  : 2023/04/24 02:43:35

Total sieving time: 12hrs 14min 39secs.

Total relation processing time: 2hrs 44min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 19sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13800000,13800000,27,27,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 3, 2023 07:32:59 UTC 2023 年 3 月 3 日 (金) 16 時 32 分 59 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovApril 11, 2023 22:01:11 UTC 2023 年 4 月 12 日 (水) 7 時 1 分 11 秒 (日本時間)

29×10199-53

c147

name 名前Eric Jeancolas
date 日付July 10, 2023 08:41:58 UTC 2023 年 7 月 10 日 (月) 17 時 41 分 58 秒 (日本時間)
composite number 合成数
432317470445441157697701778474364189367521172838521913331911509606249771205040359761179736146295857885193674131047211831289095940521916564227766963<147>
prime factors 素因数
517618533190783555207312501025031733511560902962382961102277<60>
835204774799085142949102082137396292246691840746717605030995523899199268003559274948119<87>
factorization results 素因数分解の結果
432317470445441157697701778474364189367521172838521913331911509606249771205040359761179736146295857885193674131047211831289095940521916564227766963=517618533190783555207312501025031733511560902962382961102277*835204774799085142949102082137396292246691840746717605030995523899199268003559274948119

cado polynomial
n: 432317470445441157697701778474364189367521172838521913331911509606249771205040359761179736146295857885193674131047211831289095940521916564227766963
skew: 0.11
type: snfs
c0: -1
c5: 58000
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 58000*x^5-1
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14900000
tasks.lim1 = 14900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 517618533190783555207312501025031733511560902962382961102277 835204774799085142949102082137396292246691840746717605030995523899199268003559274948119
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 3105.15/169.524
Info:HTTP server: Got notification to stop serving Workunits
Info:Linear Algebra: Total cpu/real time for bwc: 74626.7/9388.52
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 49059.2, WCT time 6162.06, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.04, comm-wait 0.0 (73216 iterations)
Info:Linear Algebra: Lingen CPU time 419.03, WCT time 27.14
Info:Linear Algebra: Mksol: CPU time 24675.02,  WCT time 3143.44, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.04, comm-wait 0.0 (36864 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.25/0.362414
Info:Generate Free Relations: Total cpu/real time for freerel: 67.76/6.14999
Info:Square Root: Total cpu/real time for sqrt: 3105.15/169.524
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 107.36/78.3145
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 77.89999999999999s
Info:Quadratic Characters: Total cpu/real time for characters: 66.11/12.3174
Info:Filtering - Singleton removal: Total cpu/real time for purge: 336.33/232.752
Info:Filtering - Merging: Merged matrix has 2335001 rows and total weight 399015502 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 538.53/31.5261
Info:Filtering - Merging: Total cpu/real time for replay: 43.33/38.0455
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26514109
Info:Lattice Sieving: Average J: 3794.92 for 1514956 special-q, max bucket fill -bkmult 1.0,1s:1.127240
Info:Lattice Sieving: Total time: 493854s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 447.12/323.044
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 239.39999999999995s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.01516e+06/51154.5
Info:root: Cleaning up computation data in /tmp/cado.tja1a3fe
517618533190783555207312501025031733511560902962382961102277 835204774799085142949102082137396292246691840746717605030995523899199268003559274948119
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
13th Gen Intel(R) Core(TM) i7-13700KF (24 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 3, 2023 07:33:06 UTC 2023 年 3 月 3 日 (金) 16 時 33 分 6 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovApril 11, 2023 22:01:19 UTC 2023 年 4 月 12 日 (水) 7 時 1 分 19 秒 (日本時間)

29×10200-53

c129

name 名前Lionel Debroux
date 日付March 5, 2023 07:28:34 UTC 2023 年 3 月 5 日 (日) 16 時 28 分 34 秒 (日本時間)
composite number 合成数
305409645257832474151848527961067513246552286938446111210854877862785927530860828738289343086038204065522960273283842096446706079<129>
prime factors 素因数
5672806925990866700768681171731139464284305710728780877523<58>
53837482791552385717850315924938427994176640131321923927391037721930373<71>
factorization results 素因数分解の結果
5672806925990866700768681171731139464284305710728780877523 53837482791552385717850315924938427994176640131321923927391037721930373
software ソフトウェア
CADO-NFS
execution environment 実行環境
8 x Xeon L5640, Debian sid amd64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosFebruary 27, 2023 16:39:07 UTC 2023 年 2 月 28 日 (火) 1 時 39 分 7 秒 (日本時間)

29×10201-53

c156

name 名前Dylan Delgado
date 日付April 23, 2024 19:37:27 UTC 2024 年 4 月 24 日 (水) 4 時 37 分 27 秒 (日本時間)
composite number 合成数
637588324875477432900886582321942677334802807323053689052652574996541373732152776125650620183963279914597852418121452541959638174802469036177874604224143707<156>
prime factors 素因数
64303338699583037689937699834969205232103177972669339155983410019563101<71>
9915322248728148054476188367948433591798986798871865451516621783961137295365861002007<85>
factorization results 素因数分解の結果
yafu log:
04/22/24 10:32:44, nfs: commencing nfs on c203: 28999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995
04/22/24 10:32:44, nfs: input divides 29*10^201 - 5
04/22/24 10:32:44, nfs: using supplied cofactor: 637588324875477432900886582321942677334802807323053689052652574996541373732152776125650620183963279914597852418121452541959638174802469036177874604224143707
04/22/24 10:32:44, nfs: commencing snfs on c156: 637588324875477432900886582321942677334802807323053689052652574996541373732152776125650620183963279914597852418121452541959638174802469036177874604224143707
04/22/24 10:32:44, gen: best 3 polynomials:
n: 637588324875477432900886582321942677334802807323053689052652574996541373732152776125650620183963279914597852418121452541959638174802469036177874604224143707
# 29*10^201-5, difficulty: 202.46, anorm: -4.63e+28, rnorm: 8.69e+46
# scaled difficulty: 206.12, suggest sieving rational side
# size = 5.252e-14, alpha = 1.560, combined = 1.313e-11, rroots = 1
type: snfs
size: 202
skew: 0.4439
c5: 58
c0: -1
Y1: -1
Y0: 10000000000000000000000000000000000000000
n: 637588324875477432900886582321942677334802807323053689052652574996541373732152776125650620183963279914597852418121452541959638174802469036177874604224143707
# 29*10^201-5, difficulty: 203.67, anorm: 5.69e+28, rnorm: 1.23e+47
# scaled difficulty: 207.33, suggest sieving rational side
# size = 4.169e-14, alpha = 0.867, combined = 1.144e-11, rroots = 1
type: snfs
size: 203
skew: 0.8879
c5: 29
c0: -16
Y1: -1
Y0: 20000000000000000000000000000000000000000
n: 637588324875477432900886582321942677334802807323053689052652574996541373732152776125650620183963279914597852418121452541959638174802469036177874604224143707
# 29*10^201-5, difficulty: 202.46, anorm: -2.38e+36, rnorm: 1.19e+40
# scaled difficulty: 202.46, suggest sieving algebraic side
# size = 2.247e-10, alpha = 1.897, combined = 5.874e-12, rroots = 2
type: snfs
size: 202
skew: 0.2359
c6: 5800
c0: -1
Y1: -1
Y0: 1000000000000000000000000000000000
04/22/24 10:32:45, test: fb generation took 1.0486 seconds
04/22/24 10:32:45, test: commencing test sieving of polynomial 0 on the rational side over range 19000000-19001000
skew: 0.4439
c5: 58
c0: -1
Y1: -1
Y0: 10000000000000000000000000000000000000000
rlim: 19000000
alim: 19000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
04/22/24 10:33:33, nfs: parsing special-q from .dat file
04/22/24 10:33:33, test: new best estimated total sieving time = 9h 12m 35s (with 16 threads)
04/22/24 10:33:34, test: fb generation took 1.0975 seconds
04/22/24 10:33:34, test: commencing test sieving of polynomial 1 on the rational side over range 20200000-20201000
skew: 0.8879
c5: 29
c0: -16
Y1: -1
Y0: 20000000000000000000000000000000000000000
rlim: 20200000
alim: 20200000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
04/22/24 10:34:23, nfs: parsing special-q from .dat file
04/22/24 10:34:23, test: estimated total sieving time = 10h 30m 33s (with 16 threads)
04/22/24 10:34:25, test: fb generation took 1.4400 seconds
04/22/24 10:34:25, test: commencing test sieving of polynomial 2 on the algebraic side over range 17000000-17001000
skew: 0.2359
c6: 5800
c0: -1
Y1: -1
Y0: 1000000000000000000000000000000000
rlim: 17000000
alim: 17000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
04/22/24 10:34:53, nfs: parsing special-q from .dat file
04/22/24 10:34:53, test: estimated total sieving time = 14h 4m 51s (with 16 threads)
04/22/24 10:34:53, gen: selected polynomial:
n: 637588324875477432900886582321942677334802807323053689052652574996541373732152776125650620183963279914597852418121452541959638174802469036177874604224143707
# 29*10^201-5, difficulty: 202.46, anorm: -4.63e+28, rnorm: 8.69e+46
# scaled difficulty: 206.12, suggest sieving rational side
# size = 5.252e-14, alpha = 1.560, combined = 1.313e-11, rroots = 1
type: snfs
size: 202
skew: 0.4439
c5: 58
c0: -1
Y1: -1
Y0: 10000000000000000000000000000000000000000
04/22/24 10:34:53, nfs: commencing lattice sieving with 16 threads
04/22/24 10:42:00, nfs: found 194241 relations, need at least 21023254 (filtering ETA: 12h 42m), continuing with sieving ...
04/22/24 10:42:00, nfs: commencing lattice sieving with 16 threads
04/22/24 10:49:06, nfs: found 387940 relations, need at least 21023254 (filtering ETA: 12h 35m), continuing with sieving ...
04/22/24 10:49:06, nfs: commencing lattice sieving with 16 threads
04/22/24 10:56:01, nfs: found 580867 relations, need at least 21023254 (filtering ETA: 12h 13m), continuing with sieving ...
04/22/24 10:56:01, nfs: commencing lattice sieving with 16 threads
04/22/24 11:02:54, nfs: found 774415 relations, need at least 21023254 (filtering ETA: 12h 1m), continuing with sieving ...
04/22/24 11:02:54, nfs: commencing lattice sieving with 16 threads
04/22/24 11:09:38, nfs: found 964928 relations, need at least 21023254 (filtering ETA: 11h 48m), continuing with sieving ...
04/22/24 11:09:38, nfs: commencing lattice sieving with 16 threads
04/22/24 11:16:15, nfs: found 1156941 relations, need at least 21023254 (filtering ETA: 11h 24m), continuing with sieving ...
04/22/24 11:16:15, nfs: commencing lattice sieving with 16 threads
04/22/24 11:22:58, nfs: found 1349391 relations, need at least 21023254 (filtering ETA: 11h 26m), continuing with sieving ...
04/22/24 11:22:58, nfs: commencing lattice sieving with 16 threads
04/22/24 11:29:38, nfs: found 1541234 relations, need at least 21023254 (filtering ETA: 11h 17m), continuing with sieving ...
04/22/24 11:29:38, nfs: commencing lattice sieving with 16 threads
04/22/24 11:36:26, nfs: found 1731292 relations, need at least 21023254 (filtering ETA: 11h 29m), continuing with sieving ...
04/22/24 11:36:26, nfs: commencing lattice sieving with 16 threads
04/22/24 11:43:14, nfs: found 1925152 relations, need at least 21023254 (filtering ETA: 11h 10m), continuing with sieving ...
04/22/24 11:43:14, nfs: commencing lattice sieving with 16 threads
04/22/24 11:50:03, nfs: found 2116202 relations, need at least 21023254 (filtering ETA: 11h 14m), continuing with sieving ...
04/22/24 11:50:03, nfs: commencing lattice sieving with 16 threads
04/22/24 11:56:49, nfs: found 2309285 relations, need at least 21023254 (filtering ETA: 10h 56m), continuing with sieving ...
04/22/24 11:56:49, nfs: commencing lattice sieving with 16 threads
04/22/24 12:03:36, nfs: found 2501804 relations, need at least 21023254 (filtering ETA: 10h 52m), continuing with sieving ...
04/22/24 12:03:36, nfs: commencing lattice sieving with 16 threads
04/22/24 12:10:25, nfs: found 2693603 relations, need at least 21023254 (filtering ETA: 10h 50m), continuing with sieving ...
04/22/24 12:10:25, nfs: commencing lattice sieving with 16 threads
04/22/24 12:17:22, nfs: found 2886659 relations, need at least 21023254 (filtering ETA: 10h 54m), continuing with sieving ...
04/22/24 12:17:22, nfs: commencing lattice sieving with 16 threads
04/22/24 12:24:19, nfs: found 3076849 relations, need at least 21023254 (filtering ETA: 10h 55m), continuing with sieving ...
04/22/24 12:24:19, nfs: commencing lattice sieving with 16 threads
04/22/24 12:31:00, nfs: found 3268367 relations, need at least 21023254 (filtering ETA: 10h 18m), continuing with sieving ...
04/22/24 12:31:00, nfs: commencing lattice sieving with 16 threads
04/22/24 12:37:47, nfs: found 3460563 relations, need at least 21023254 (filtering ETA: 10h 19m), continuing with sieving ...
04/22/24 12:37:47, nfs: commencing lattice sieving with 16 threads
04/22/24 12:44:40, nfs: found 3650314 relations, need at least 21023254 (filtering ETA: 10h 30m), continuing with sieving ...
04/22/24 12:44:40, nfs: commencing lattice sieving with 16 threads
04/22/24 12:51:31, nfs: found 3843510 relations, need at least 21023254 (filtering ETA: 10h 9m), continuing with sieving ...
04/22/24 12:51:31, nfs: commencing lattice sieving with 16 threads
04/22/24 12:58:21, nfs: found 4034603 relations, need at least 21023254 (filtering ETA: 10h 7m), continuing with sieving ...
04/22/24 12:58:21, nfs: commencing lattice sieving with 16 threads
04/22/24 13:05:00, nfs: found 4225625 relations, need at least 21023254 (filtering ETA: 9h 44m), continuing with sieving ...
04/22/24 13:05:00, nfs: commencing lattice sieving with 16 threads
04/22/24 13:11:52, nfs: found 4415684 relations, need at least 21023254 (filtering ETA: 9h 59m), continuing with sieving ...
04/22/24 13:11:52, nfs: commencing lattice sieving with 16 threads
04/22/24 13:18:52, nfs: found 4606838 relations, need at least 21023254 (filtering ETA: 10h 1m), continuing with sieving ...
04/22/24 13:18:52, nfs: commencing lattice sieving with 16 threads
04/22/24 13:25:50, nfs: found 4798395 relations, need at least 21023254 (filtering ETA: 9h 49m), continuing with sieving ...
04/22/24 13:25:50, nfs: commencing lattice sieving with 16 threads
04/22/24 13:32:46, nfs: found 4990051 relations, need at least 21023254 (filtering ETA: 9h 40m), continuing with sieving ...
04/22/24 13:32:46, nfs: commencing lattice sieving with 16 threads
04/22/24 13:39:41, nfs: found 5182231 relations, need at least 21023254 (filtering ETA: 9h 29m), continuing with sieving ...
04/22/24 13:39:41, nfs: commencing lattice sieving with 16 threads
04/22/24 13:46:27, nfs: found 5372366 relations, need at least 21023254 (filtering ETA: 9h 17m), continuing with sieving ...
04/22/24 13:46:27, nfs: commencing lattice sieving with 16 threads
04/22/24 13:53:21, nfs: found 5564332 relations, need at least 21023254 (filtering ETA: 9h 15m), continuing with sieving ...
04/22/24 13:53:21, nfs: commencing lattice sieving with 16 threads
04/22/24 14:00:18, nfs: found 5753933 relations, need at least 21023254 (filtering ETA: 9h 19m), continuing with sieving ...
04/22/24 14:00:18, nfs: commencing lattice sieving with 16 threads
04/22/24 14:07:19, nfs: found 5944864 relations, need at least 21023254 (filtering ETA: 9h 14m), continuing with sieving ...
04/22/24 14:07:19, nfs: commencing lattice sieving with 16 threads
04/22/24 14:14:12, nfs: found 6134867 relations, need at least 21023254 (filtering ETA: 8h 58m), continuing with sieving ...
04/22/24 14:14:12, nfs: commencing lattice sieving with 16 threads
04/22/24 14:20:59, nfs: found 6323634 relations, need at least 21023254 (filtering ETA: 8h 49m), continuing with sieving ...
04/22/24 14:20:59, nfs: commencing lattice sieving with 16 threads
04/22/24 14:28:02, nfs: found 6512232 relations, need at least 21023254 (filtering ETA: 9h 1m), continuing with sieving ...
04/22/24 14:28:02, nfs: commencing lattice sieving with 16 threads
04/22/24 14:35:23, nfs: found 6702361 relations, need at least 21023254 (filtering ETA: 9h 14m), continuing with sieving ...
04/22/24 14:35:23, nfs: commencing lattice sieving with 16 threads
04/22/24 14:42:50, nfs: found 6894452 relations, need at least 21023254 (filtering ETA: 9h 6m), continuing with sieving ...
04/22/24 14:42:50, nfs: commencing lattice sieving with 16 threads
04/22/24 14:49:49, nfs: found 7084759 relations, need at least 21023254 (filtering ETA: 8h 31m), continuing with sieving ...
04/22/24 14:49:49, nfs: commencing lattice sieving with 16 threads
04/22/24 14:56:51, nfs: found 7273219 relations, need at least 21023254 (filtering ETA: 8h 33m), continuing with sieving ...
04/22/24 14:56:51, nfs: commencing lattice sieving with 16 threads
04/22/24 15:04:02, nfs: found 7463648 relations, need at least 21023254 (filtering ETA: 8h 31m), continuing with sieving ...
04/22/24 15:04:02, nfs: commencing lattice sieving with 16 threads
04/22/24 15:11:18, nfs: found 7652368 relations, need at least 21023254 (filtering ETA: 8h 34m), continuing with sieving ...
04/22/24 15:11:18, nfs: commencing lattice sieving with 16 threads
04/22/24 15:18:53, nfs: found 7843036 relations, need at least 21023254 (filtering ETA: 8h 44m), continuing with sieving ...
04/22/24 15:18:53, nfs: commencing lattice sieving with 16 threads
04/22/24 15:26:21, nfs: found 8031254 relations, need at least 21023254 (filtering ETA: 8h 35m), continuing with sieving ...
04/22/24 15:26:21, nfs: commencing lattice sieving with 16 threads
04/22/24 15:33:42, nfs: found 8217219 relations, need at least 21023254 (filtering ETA: 8h 26m), continuing with sieving ...
04/22/24 15:33:42, nfs: commencing lattice sieving with 16 threads
04/22/24 15:41:10, nfs: found 8406157 relations, need at least 21023254 (filtering ETA: 8h 18m), continuing with sieving ...
04/22/24 15:41:10, nfs: commencing lattice sieving with 16 threads
04/22/24 15:48:05, nfs: found 8591697 relations, need at least 21023254 (filtering ETA: 7h 43m), continuing with sieving ...
04/22/24 15:48:05, nfs: commencing lattice sieving with 16 threads
04/22/24 15:54:56, nfs: found 8781154 relations, need at least 21023254 (filtering ETA: 7h 22m), continuing with sieving ...
04/22/24 15:54:56, nfs: commencing lattice sieving with 16 threads
04/22/24 16:01:48, nfs: found 8969753 relations, need at least 21023254 (filtering ETA: 7h 19m), continuing with sieving ...
04/22/24 16:01:48, nfs: commencing lattice sieving with 16 threads
04/22/24 16:08:46, nfs: found 9158450 relations, need at least 21023254 (filtering ETA: 7h 17m), continuing with sieving ...
04/22/24 16:08:46, nfs: commencing lattice sieving with 16 threads
04/22/24 16:15:48, nfs: found 9346246 relations, need at least 21023254 (filtering ETA: 7h 18m), continuing with sieving ...
04/22/24 16:15:48, nfs: commencing lattice sieving with 16 threads
04/22/24 16:22:40, nfs: found 9532855 relations, need at least 21023254 (filtering ETA: 7h 1m), continuing with sieving ...
04/22/24 16:22:40, nfs: commencing lattice sieving with 16 threads
04/22/24 16:29:28, nfs: found 9720336 relations, need at least 21023254 (filtering ETA: 6h 50m), continuing with sieving ...
04/22/24 16:29:28, nfs: commencing lattice sieving with 16 threads
04/22/24 16:36:34, nfs: found 9911167 relations, need at least 21023254 (filtering ETA: 6h 53m), continuing with sieving ...
04/22/24 16:36:34, nfs: commencing lattice sieving with 16 threads
04/22/24 16:43:50, nfs: found 10099647 relations, need at least 21023254 (filtering ETA: 7h 1m), continuing with sieving ...
04/22/24 16:43:50, nfs: commencing lattice sieving with 16 threads
04/22/24 16:50:55, nfs: found 10288279 relations, need at least 21023254 (filtering ETA: 6h 42m), continuing with sieving ...
04/22/24 16:50:55, nfs: commencing lattice sieving with 16 threads
04/22/24 16:57:55, nfs: found 10477098 relations, need at least 21023254 (filtering ETA: 6h 31m), continuing with sieving ...
04/22/24 16:57:55, nfs: commencing lattice sieving with 16 threads
04/22/24 17:04:50, nfs: found 10663188 relations, need at least 21023254 (filtering ETA: 6h 24m), continuing with sieving ...
04/22/24 17:04:50, nfs: commencing lattice sieving with 16 threads
04/22/24 17:11:44, nfs: found 10848532 relations, need at least 21023254 (filtering ETA: 6h 19m), continuing with sieving ...
04/22/24 17:11:44, nfs: commencing lattice sieving with 16 threads
04/22/24 17:18:49, nfs: found 11037186 relations, need at least 21023254 (filtering ETA: 6h 14m), continuing with sieving ...
04/22/24 17:18:49, nfs: commencing lattice sieving with 16 threads
04/22/24 17:25:44, nfs: found 11222486 relations, need at least 21023254 (filtering ETA: 6h 6m), continuing with sieving ...
04/22/24 17:25:44, nfs: commencing lattice sieving with 16 threads
04/22/24 17:33:08, nfs: found 11411306 relations, need at least 21023254 (filtering ETA: 6h 16m), continuing with sieving ...
04/22/24 17:33:08, nfs: commencing lattice sieving with 16 threads
04/22/24 17:41:00, nfs: found 11600396 relations, need at least 21023254 (filtering ETA: 6h 31m), continuing with sieving ...
04/22/24 17:41:00, nfs: commencing lattice sieving with 16 threads
04/22/24 17:48:01, nfs: found 11786422 relations, need at least 21023254 (filtering ETA: 5h 48m), continuing with sieving ...
04/22/24 17:48:01, nfs: commencing lattice sieving with 16 threads
04/22/24 17:55:02, nfs: found 11971756 relations, need at least 21023254 (filtering ETA: 5h 43m), continuing with sieving ...
04/22/24 17:55:02, nfs: commencing lattice sieving with 16 threads
04/22/24 18:02:02, nfs: found 12159351 relations, need at least 21023254 (filtering ETA: 5h 30m), continuing with sieving ...
04/22/24 18:02:02, nfs: commencing lattice sieving with 16 threads
04/22/24 18:09:04, nfs: found 12345963 relations, need at least 21023254 (filtering ETA: 5h 26m), continuing with sieving ...
04/22/24 18:09:04, nfs: commencing lattice sieving with 16 threads
04/22/24 18:16:08, nfs: found 12533420 relations, need at least 21023254 (filtering ETA: 5h 20m), continuing with sieving ...
04/22/24 18:16:08, nfs: commencing lattice sieving with 16 threads
04/22/24 18:23:08, nfs: found 12719780 relations, need at least 21023254 (filtering ETA: 5h 12m), continuing with sieving ...
04/22/24 18:23:08, nfs: commencing lattice sieving with 16 threads
04/22/24 18:30:02, nfs: found 12903974 relations, need at least 21023254 (filtering ETA: 5h 4m), continuing with sieving ...
04/22/24 18:30:02, nfs: commencing lattice sieving with 16 threads
04/22/24 18:37:02, nfs: found 13088933 relations, need at least 21023254 (filtering ETA: 5h 0m), continuing with sieving ...
04/22/24 18:37:02, nfs: commencing lattice sieving with 16 threads
04/22/24 18:44:05, nfs: found 13275621 relations, need at least 21023254 (filtering ETA: 4h 52m), continuing with sieving ...
04/22/24 18:44:05, nfs: commencing lattice sieving with 16 threads
04/22/24 18:51:07, nfs: found 13461316 relations, need at least 21023254 (filtering ETA: 4h 46m), continuing with sieving ...
04/22/24 18:51:07, nfs: commencing lattice sieving with 16 threads
04/22/24 18:58:07, nfs: found 13644879 relations, need at least 21023254 (filtering ETA: 4h 41m), continuing with sieving ...
04/22/24 18:58:07, nfs: commencing lattice sieving with 16 threads
04/22/24 19:05:03, nfs: found 13830031 relations, need at least 21023254 (filtering ETA: 4h 29m), continuing with sieving ...
04/22/24 19:05:03, nfs: commencing lattice sieving with 16 threads
04/22/24 19:11:59, nfs: found 14013519 relations, need at least 21023254 (filtering ETA: 4h 24m), continuing with sieving ...
04/22/24 19:11:59, nfs: commencing lattice sieving with 16 threads
04/22/24 19:18:59, nfs: found 14198096 relations, need at least 21023254 (filtering ETA: 4h 18m), continuing with sieving ...
04/22/24 19:18:59, nfs: commencing lattice sieving with 16 threads
04/22/24 19:26:05, nfs: found 14386286 relations, need at least 21023254 (filtering ETA: 4h 10m), continuing with sieving ...
04/22/24 19:26:05, nfs: commencing lattice sieving with 16 threads
04/22/24 19:33:10, nfs: found 14571393 relations, need at least 21023254 (filtering ETA: 4h 7m), continuing with sieving ...
04/22/24 19:33:10, nfs: commencing lattice sieving with 16 threads
04/22/24 19:40:11, nfs: found 14756491 relations, need at least 21023254 (filtering ETA: 3h 57m), continuing with sieving ...
04/22/24 19:40:11, nfs: commencing lattice sieving with 16 threads
04/22/24 19:47:02, nfs: found 14939685 relations, need at least 21023254 (filtering ETA: 3h 47m), continuing with sieving ...
04/22/24 19:47:02, nfs: commencing lattice sieving with 16 threads
04/22/24 19:54:10, nfs: found 15126296 relations, need at least 21023254 (filtering ETA: 3h 45m), continuing with sieving ...
04/22/24 19:54:10, nfs: commencing lattice sieving with 16 threads
04/22/24 20:01:11, nfs: found 15310782 relations, need at least 21023254 (filtering ETA: 3h 37m), continuing with sieving ...
04/22/24 20:01:11, nfs: commencing lattice sieving with 16 threads
04/22/24 20:08:11, nfs: found 15493298 relations, need at least 21023254 (filtering ETA: 3h 31m), continuing with sieving ...
04/22/24 20:08:11, nfs: commencing lattice sieving with 16 threads
04/22/24 20:15:14, nfs: found 15678172 relations, need at least 21023254 (filtering ETA: 3h 24m), continuing with sieving ...
04/22/24 20:15:14, nfs: commencing lattice sieving with 16 threads
04/22/24 20:22:19, nfs: found 15864014 relations, need at least 21023254 (filtering ETA: 3h 16m), continuing with sieving ...
04/22/24 20:22:19, nfs: commencing lattice sieving with 16 threads
04/22/24 20:29:29, nfs: found 16047464 relations, need at least 21023254 (filtering ETA: 3h 14m), continuing with sieving ...
04/22/24 20:29:29, nfs: commencing lattice sieving with 16 threads
04/22/24 20:36:28, nfs: found 16230401 relations, need at least 21023254 (filtering ETA: 3h 2m), continuing with sieving ...
04/22/24 20:36:28, nfs: commencing lattice sieving with 16 threads
04/22/24 20:43:47, nfs: found 16413280 relations, need at least 21023254 (filtering ETA: 3h 4m), continuing with sieving ...
04/22/24 20:43:47, nfs: commencing lattice sieving with 16 threads
04/22/24 20:50:48, nfs: found 16597697 relations, need at least 21023254 (filtering ETA: 2h 48m), continuing with sieving ...
04/22/24 20:50:48, nfs: commencing lattice sieving with 16 threads
04/22/24 20:57:51, nfs: found 16781507 relations, need at least 21023254 (filtering ETA: 2h 42m), continuing with sieving ...
04/22/24 20:57:51, nfs: commencing lattice sieving with 16 threads
04/22/24 21:04:51, nfs: found 16964862 relations, need at least 21023254 (filtering ETA: 2h 34m), continuing with sieving ...
04/22/24 21:04:51, nfs: commencing lattice sieving with 16 threads
04/22/24 21:11:55, nfs: found 17149836 relations, need at least 21023254 (filtering ETA: 2h 28m), continuing with sieving ...
04/22/24 21:11:55, nfs: commencing lattice sieving with 16 threads
04/22/24 21:19:06, nfs: found 17333335 relations, need at least 21023254 (filtering ETA: 2h 24m), continuing with sieving ...
04/22/24 21:19:06, nfs: commencing lattice sieving with 16 threads
04/22/24 21:26:11, nfs: found 17516471 relations, need at least 21023254 (filtering ETA: 2h 15m), continuing with sieving ...
04/22/24 21:26:11, nfs: commencing lattice sieving with 16 threads
04/22/24 10:34:53, test: test sieving took 129.06 seconds
04/23/24 09:11:39, nfs: previous data file found - commencing search for last special-q
04/23/24 09:11:47, nfs: parsing special-q from .dat file
04/23/24 09:11:47, nfs: commencing nfs on c156: 637588324875477432900886582321942677334802807323053689052652574996541373732152776125650620183963279914597852418121452541959638174802469036177874604224143707
04/23/24 09:11:47, nfs: resuming with filtering
04/23/24 09:11:47, nfs: found 17585005 relations, need at least 21023254 (filtering ETA: 36558h 58m), continuing with sieving ...
04/23/24 09:11:47, nfs: commencing lattice sieving with 16 threads
04/23/24 09:18:59, nfs: found 17768652 relations, need at least 21023254 (filtering ETA: 2h 7m), continuing with sieving ...
04/23/24 09:18:59, nfs: commencing lattice sieving with 16 threads
04/23/24 09:26:08, nfs: found 17949960 relations, need at least 21023254 (filtering ETA: 2h 1m), continuing with sieving ...
04/23/24 09:26:08, nfs: commencing lattice sieving with 16 threads
04/23/24 09:33:23, nfs: found 18130726 relations, need at least 21023254 (filtering ETA: 1h 56m), continuing with sieving ...
04/23/24 09:33:23, nfs: commencing lattice sieving with 16 threads
04/23/24 09:40:48, nfs: found 18316517 relations, need at least 21023254 (filtering ETA: 1h 47m), continuing with sieving ...
04/23/24 09:40:48, nfs: commencing lattice sieving with 16 threads
04/23/24 09:48:09, nfs: found 18499671 relations, need at least 21023254 (filtering ETA: 1h 41m), continuing with sieving ...
04/23/24 09:48:09, nfs: commencing lattice sieving with 16 threads
04/23/24 09:55:38, nfs: found 18682096 relations, need at least 21023254 (filtering ETA: 1h 36m), continuing with sieving ...
04/23/24 09:55:38, nfs: commencing lattice sieving with 16 threads
04/23/24 10:03:00, nfs: found 18865107 relations, need at least 21023254 (filtering ETA: 1h 26m), continuing with sieving ...
04/23/24 10:03:00, nfs: commencing lattice sieving with 16 threads
04/23/24 10:10:20, nfs: found 19045344 relations, need at least 21023254 (filtering ETA: 1h 20m), continuing with sieving ...
04/23/24 10:10:20, nfs: commencing lattice sieving with 16 threads
04/23/24 10:17:43, nfs: found 19226598 relations, need at least 21023254 (filtering ETA: 1h 13m), continuing with sieving ...
04/23/24 10:17:43, nfs: commencing lattice sieving with 16 threads
04/23/24 10:25:19, nfs: found 19407869 relations, need at least 21023254 (filtering ETA: 1h 7m), continuing with sieving ...
04/23/24 10:25:19, nfs: commencing lattice sieving with 16 threads
04/23/24 10:32:32, nfs: found 19588349 relations, need at least 21023254 (filtering ETA: 0h 57m), continuing with sieving ...
04/23/24 10:32:32, nfs: commencing lattice sieving with 16 threads
04/23/24 10:39:37, nfs: found 19772851 relations, need at least 21023254 (filtering ETA: 0h 47m), continuing with sieving ...
04/23/24 10:39:37, nfs: commencing lattice sieving with 16 threads
04/23/24 10:47:03, nfs: found 19953882 relations, need at least 21023254 (filtering ETA: 0h 43m), continuing with sieving ...
04/23/24 10:47:03, nfs: commencing lattice sieving with 16 threads
04/23/24 10:54:18, nfs: found 20133727 relations, need at least 21023254 (filtering ETA: 0h 35m), continuing with sieving ...
04/23/24 10:54:18, nfs: commencing lattice sieving with 16 threads
04/23/24 11:01:34, nfs: found 20313957 relations, need at least 21023254 (filtering ETA: 0h 28m), continuing with sieving ...
04/23/24 11:01:34, nfs: commencing lattice sieving with 16 threads
04/23/24 11:09:05, nfs: found 20499245 relations, need at least 21023254 (filtering ETA: 0h 21m), continuing with sieving ...
04/23/24 11:09:05, nfs: commencing lattice sieving with 16 threads
04/23/24 11:16:30, nfs: found 20678513 relations, need at least 21023254 (filtering ETA: 0h 14m), continuing with sieving ...
04/23/24 11:16:30, nfs: commencing lattice sieving with 16 threads
04/23/24 11:23:50, nfs: found 20859997 relations, need at least 21023254 (filtering ETA: 0h 6m), continuing with sieving ...
04/23/24 11:23:50, nfs: commencing lattice sieving with 16 threads
04/23/24 11:30:58, nfs: commencing msieve filtering
04/23/24 11:33:53, nfs: raising min_rels by 5.00 percent to 22091291
04/23/24 11:33:53, nfs: commencing lattice sieving with 16 threads
04/23/24 11:41:06, nfs: found 21221742 relations, need at least 22091291 (filtering ETA: 0h 34m), continuing with sieving ...
04/23/24 11:41:06, nfs: commencing lattice sieving with 16 threads
04/23/24 11:48:14, nfs: found 21401824 relations, need at least 22091291 (filtering ETA: 0h 27m), continuing with sieving ...
04/23/24 11:48:14, nfs: commencing lattice sieving with 16 threads
04/23/24 11:55:29, nfs: found 21585763 relations, need at least 22091291 (filtering ETA: 0h 19m), continuing with sieving ...
04/23/24 11:55:29, nfs: commencing lattice sieving with 16 threads
04/23/24 12:02:38, nfs: found 21766021 relations, need at least 22091291 (filtering ETA: 0h 12m), continuing with sieving ...
04/23/24 12:02:38, nfs: commencing lattice sieving with 16 threads
04/23/24 12:09:52, nfs: found 21946851 relations, need at least 22091291 (filtering ETA: 0h 5m), continuing with sieving ...
04/23/24 12:09:52, nfs: commencing lattice sieving with 16 threads
04/23/24 12:17:19, nfs: commencing msieve filtering
04/23/24 12:20:34, nfs: raising min_rels by 5.00 percent to 23232711
04/23/24 12:20:34, nfs: commencing lattice sieving with 16 threads
04/23/24 12:27:49, nfs: found 22306584 relations, need at least 23232711 (filtering ETA: 0h 37m), continuing with sieving ...
04/23/24 12:27:49, nfs: commencing lattice sieving with 16 threads
04/23/24 12:35:11, nfs: found 22485255 relations, need at least 23232711 (filtering ETA: 0h 30m), continuing with sieving ...
04/23/24 12:35:11, nfs: commencing lattice sieving with 16 threads
04/23/24 12:42:32, nfs: found 22664744 relations, need at least 23232711 (filtering ETA: 0h 23m), continuing with sieving ...
04/23/24 12:42:32, nfs: commencing lattice sieving with 16 threads
04/23/24 12:49:52, nfs: found 22843182 relations, need at least 23232711 (filtering ETA: 0h 16m), continuing with sieving ...
04/23/24 12:49:52, nfs: commencing lattice sieving with 16 threads
04/23/24 12:57:05, nfs: found 23023271 relations, need at least 23232711 (filtering ETA: 0h 8m), continuing with sieving ...
04/23/24 12:57:05, nfs: commencing lattice sieving with 16 threads
04/23/24 13:04:23, nfs: found 23201158 relations, need at least 23232711 (filtering ETA: 0h 1m), continuing with sieving ...
04/23/24 13:04:23, nfs: commencing lattice sieving with 16 threads
04/23/24 13:11:56, nfs: commencing msieve filtering
04/23/24 13:15:24, nfs: raising min_rels by 5.00 percent to 24545011
04/23/24 13:15:24, nfs: commencing lattice sieving with 16 threads
04/23/24 13:23:22, nfs: found 23554224 relations, need at least 24545011 (filtering ETA: 0h 44m), continuing with sieving ...
04/23/24 13:23:22, nfs: commencing lattice sieving with 16 threads
04/23/24 13:31:24, nfs: found 23731674 relations, need at least 24545011 (filtering ETA: 0h 36m), continuing with sieving ...
04/23/24 13:31:24, nfs: commencing lattice sieving with 16 threads
04/23/24 13:39:20, nfs: found 23910725 relations, need at least 24545011 (filtering ETA: 0h 28m), continuing with sieving ...
04/23/24 13:39:20, nfs: commencing lattice sieving with 16 threads
04/23/24 13:46:54, nfs: found 24087242 relations, need at least 24545011 (filtering ETA: 0h 19m), continuing with sieving ...
04/23/24 13:46:54, nfs: commencing lattice sieving with 16 threads
04/23/24 13:54:07, nfs: found 24264559 relations, need at least 24545011 (filtering ETA: 0h 11m), continuing with sieving ...
04/23/24 13:54:07, nfs: commencing lattice sieving with 16 threads
04/23/24 14:01:14, nfs: found 24443136 relations, need at least 24545011 (filtering ETA: 0h 4m), continuing with sieving ...
04/23/24 14:01:14, nfs: commencing lattice sieving with 16 threads
04/23/24 14:08:27, nfs: commencing msieve filtering
04/23/24 14:13:40, nfs: commencing msieve linear algebra
04/23/24 15:25:11, nfs: commencing msieve sqrt
04/23/24 15:33:40, prp71 = 64303338699583037689937699834969205232103177972669339155983410019563101
04/23/24 15:33:40, prp85 = 9915322248728148054476188367948433591798986798871865451516621783961137295365861002007
04/23/24 15:33:40, NFS elapsed time = 22921.6697 seconds.
04/23/24 15:33:40, 
04/23/24 15:33:40, 

msieve log:
Tue Apr 23 14:08:27 2024  
Tue Apr 23 14:08:27 2024  commencing relation filtering
Tue Apr 23 14:08:27 2024  estimated available RAM is 15479.9 MB
Tue Apr 23 14:08:27 2024  commencing duplicate removal, pass 1
Tue Apr 23 14:09:30 2024  error -11 reading relation 17524756
Tue Apr 23 14:09:30 2024  error -15 reading relation 17529110
Tue Apr 23 14:09:30 2024  error -1 reading relation 17546301
Tue Apr 23 14:09:30 2024  error -9 reading relation 17550443
Tue Apr 23 14:09:30 2024  error -5 reading relation 17563292
Tue Apr 23 14:09:30 2024  error -9 reading relation 17576312
Tue Apr 23 14:09:59 2024  skipped 9 relations with composite factors
Tue Apr 23 14:09:59 2024  found 3782382 hash collisions in 25349609 relations
Tue Apr 23 14:10:09 2024  added 596 free relations
Tue Apr 23 14:10:09 2024  commencing duplicate removal, pass 2
Tue Apr 23 14:10:25 2024  found 2454276 duplicates and 22895929 unique relations
Tue Apr 23 14:10:25 2024  memory use: 149.2 MB
Tue Apr 23 14:10:25 2024  reading ideals above 720000
Tue Apr 23 14:10:25 2024  commencing singleton removal, initial pass
Tue Apr 23 14:11:46 2024  memory use: 689.0 MB
Tue Apr 23 14:11:46 2024  reading all ideals from disk
Tue Apr 23 14:11:47 2024  memory use: 783.5 MB
Tue Apr 23 14:11:47 2024  keeping 24331217 ideals with weight <= 200, target excess is 123457
Tue Apr 23 14:11:48 2024  commencing in-memory singleton removal
Tue Apr 23 14:11:49 2024  begin with 22895929 relations and 24331217 unique ideals
Tue Apr 23 14:11:56 2024  reduce to 11538591 relations and 11167360 ideals in 18 passes
Tue Apr 23 14:11:56 2024  max relations containing the same ideal: 130
Tue Apr 23 14:11:59 2024  removing 1098128 relations and 984118 ideals in 114010 cliques
Tue Apr 23 14:11:59 2024  commencing in-memory singleton removal
Tue Apr 23 14:11:59 2024  begin with 10440463 relations and 11167360 unique ideals
Tue Apr 23 14:12:02 2024  reduce to 10347166 relations and 10088550 ideals in 10 passes
Tue Apr 23 14:12:02 2024  max relations containing the same ideal: 123
Tue Apr 23 14:12:04 2024  removing 809238 relations and 695228 ideals in 114010 cliques
Tue Apr 23 14:12:05 2024  commencing in-memory singleton removal
Tue Apr 23 14:12:05 2024  begin with 9537928 relations and 10088550 unique ideals
Tue Apr 23 14:12:07 2024  reduce to 9482448 relations and 9337186 ideals in 9 passes
Tue Apr 23 14:12:07 2024  max relations containing the same ideal: 116
Tue Apr 23 14:12:10 2024  relations with 0 large ideals: 2944
Tue Apr 23 14:12:10 2024  relations with 1 large ideals: 328
Tue Apr 23 14:12:10 2024  relations with 2 large ideals: 7531
Tue Apr 23 14:12:10 2024  relations with 3 large ideals: 71726
Tue Apr 23 14:12:10 2024  relations with 4 large ideals: 376521
Tue Apr 23 14:12:10 2024  relations with 5 large ideals: 1169853
Tue Apr 23 14:12:10 2024  relations with 6 large ideals: 2346705
Tue Apr 23 14:12:10 2024  relations with 7+ large ideals: 5506840
Tue Apr 23 14:12:10 2024  commencing 2-way merge
Tue Apr 23 14:12:14 2024  reduce to 5804577 relation sets and 5659315 unique ideals
Tue Apr 23 14:12:14 2024  commencing full merge
Tue Apr 23 14:13:14 2024  memory use: 717.1 MB
Tue Apr 23 14:13:15 2024  found 2710575 cycles, need 2705515
Tue Apr 23 14:13:15 2024  weight of 2705515 cycles is about 243783928 (90.11/cycle)
Tue Apr 23 14:13:15 2024  distribution of cycle lengths:
Tue Apr 23 14:13:15 2024  1 relations: 310092
Tue Apr 23 14:13:15 2024  2 relations: 275767
Tue Apr 23 14:13:15 2024  3 relations: 266069
Tue Apr 23 14:13:15 2024  4 relations: 240732
Tue Apr 23 14:13:15 2024  5 relations: 221392
Tue Apr 23 14:13:15 2024  6 relations: 196995
Tue Apr 23 14:13:15 2024  7 relations: 173843
Tue Apr 23 14:13:15 2024  8 relations: 150055
Tue Apr 23 14:13:15 2024  9 relations: 131815
Tue Apr 23 14:13:15 2024  10+ relations: 738755
Tue Apr 23 14:13:15 2024  heaviest cycle: 28 relations
Tue Apr 23 14:13:15 2024  commencing cycle optimization
Tue Apr 23 14:13:17 2024  start with 19203682 relations
Tue Apr 23 14:13:38 2024  pruned 599135 relations
Tue Apr 23 14:13:39 2024  memory use: 580.7 MB
Tue Apr 23 14:13:39 2024  distribution of cycle lengths:
Tue Apr 23 14:13:39 2024  1 relations: 310092
Tue Apr 23 14:13:39 2024  2 relations: 282812
Tue Apr 23 14:13:39 2024  3 relations: 276307
Tue Apr 23 14:13:39 2024  4 relations: 248054
Tue Apr 23 14:13:39 2024  5 relations: 228624
Tue Apr 23 14:13:39 2024  6 relations: 200923
Tue Apr 23 14:13:39 2024  7 relations: 176421
Tue Apr 23 14:13:39 2024  8 relations: 151482
Tue Apr 23 14:13:39 2024  9 relations: 132299
Tue Apr 23 14:13:39 2024  10+ relations: 698501
Tue Apr 23 14:13:39 2024  heaviest cycle: 28 relations
Tue Apr 23 14:13:40 2024  RelProcTime: 313
Tue Apr 23 14:13:40 2024  
Tue Apr 23 14:13:40 2024  commencing linear algebra
Tue Apr 23 14:13:40 2024  read 2705515 cycles
Tue Apr 23 14:13:43 2024  cycles contain 9318795 unique relations
Tue Apr 23 14:14:11 2024  read 9318795 relations
Tue Apr 23 14:14:19 2024  using 20 quadratic characters above 4294917295
Tue Apr 23 14:14:38 2024  building initial matrix
Tue Apr 23 14:15:19 2024  memory use: 1153.3 MB
Tue Apr 23 14:15:20 2024  read 2705515 cycles
Tue Apr 23 14:15:21 2024  matrix is 2705338 x 2705515 (996.6 MB) with weight 288204380 (106.52/col)
Tue Apr 23 14:15:21 2024  sparse part has weight 231500279 (85.57/col)
Tue Apr 23 14:15:31 2024  filtering completed in 2 passes
Tue Apr 23 14:15:31 2024  matrix is 2704843 x 2705020 (996.6 MB) with weight 288187108 (106.54/col)
Tue Apr 23 14:15:31 2024  sparse part has weight 231494356 (85.58/col)
Tue Apr 23 14:15:34 2024  matrix starts at (0, 0)
Tue Apr 23 14:15:34 2024  matrix is 2704843 x 2705020 (996.6 MB) with weight 288187108 (106.54/col)
Tue Apr 23 14:15:34 2024  sparse part has weight 231494356 (85.58/col)
Tue Apr 23 14:15:34 2024  saving the first 48 matrix rows for later
Tue Apr 23 14:15:35 2024  matrix includes 64 packed rows
Tue Apr 23 14:15:35 2024  matrix is 2704795 x 2705020 (948.5 MB) with weight 238563491 (88.19/col)
Tue Apr 23 14:15:35 2024  sparse part has weight 221594444 (81.92/col)
Tue Apr 23 14:15:35 2024  using block size 8192 and superblock size 3145728 for processor cache size 32768 kB
Tue Apr 23 14:15:41 2024  commencing Lanczos iteration (16 threads)
Tue Apr 23 14:15:41 2024  memory use: 908.3 MB
Tue Apr 23 14:15:43 2024  linear algebra at 0.1%, ETA 0h59m
Tue Apr 23 14:15:44 2024  checkpointing every 2430000 dimensions
Tue Apr 23 15:25:09 2024  lanczos halted after 42779 iterations (dim = 2704791)
Tue Apr 23 15:25:11 2024  recovered 36 nontrivial dependencies
Tue Apr 23 15:25:11 2024  BLanczosTime: 4291
Tue Apr 23 15:25:11 2024  
Tue Apr 23 15:25:11 2024  commencing square root phase
Tue Apr 23 15:25:11 2024  reading relations for dependency 1
Tue Apr 23 15:25:12 2024  read 1353687 cycles
Tue Apr 23 15:25:13 2024  cycles contain 4662386 unique relations
Tue Apr 23 15:25:34 2024  read 4662386 relations
Tue Apr 23 15:25:43 2024  multiplying 4662386 relations
Tue Apr 23 15:26:45 2024  multiply complete, coefficients have about 135.78 million bits
Tue Apr 23 15:26:45 2024  initial square root is modulo 74731
Tue Apr 23 15:28:03 2024  GCD is N, no factor found
Tue Apr 23 15:28:03 2024  reading relations for dependency 2
Tue Apr 23 15:28:03 2024  read 1353028 cycles
Tue Apr 23 15:28:04 2024  cycles contain 4662564 unique relations
Tue Apr 23 15:28:25 2024  read 4662564 relations
Tue Apr 23 15:28:34 2024  multiplying 4662564 relations
Tue Apr 23 15:29:36 2024  multiply complete, coefficients have about 135.78 million bits
Tue Apr 23 15:29:36 2024  initial square root is modulo 74731
Tue Apr 23 15:30:53 2024  GCD is N, no factor found
Tue Apr 23 15:30:53 2024  reading relations for dependency 3
Tue Apr 23 15:30:53 2024  read 1351869 cycles
Tue Apr 23 15:30:55 2024  cycles contain 4657000 unique relations
Tue Apr 23 15:31:15 2024  read 4657000 relations
Tue Apr 23 15:31:24 2024  multiplying 4657000 relations
Tue Apr 23 15:32:25 2024  multiply complete, coefficients have about 135.62 million bits
Tue Apr 23 15:32:25 2024  initial square root is modulo 73681
Tue Apr 23 15:33:40 2024  sqrtTime: 509
software ソフトウェア
yafu 2.11, GGNFS
execution environment 実行環境
Ryzen 7 7700X, Windows 11

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:10:24 UTC 2023 年 3 月 14 日 (火) 2 時 10 分 24 秒 (日本時間)
4511e654801000Dmitry DomanovMarch 26, 2023 23:35:26 UTC 2023 年 3 月 27 日 (月) 8 時 35 分 26 秒 (日本時間)
4480Ignacio SantosOctober 21, 2023 15:43:31 UTC 2023 年 10 月 22 日 (日) 0 時 43 分 31 秒 (日本時間)

29×10202-53

c181

name 名前Bob Backstrom
date 日付July 14, 2023 01:37:52 UTC 2023 年 7 月 14 日 (金) 10 時 37 分 52 秒 (日本時間)
composite number 合成数
4903034158243371673813096974644746647818322272046063872204633576764247052123148314173682769733466276587195911865158441272155189289351855581414909858925404503692368008564569216145711<181>
prime factors 素因数
157499105423778703037106786793217650142326234391801<51>
31130552424732232874792599190271931097007448903085942390279346502296389456402136119828205524070703789960626317776547659969048215911<131>
factorization results 素因数分解の結果
Number: n
N=4903034158243371673813096974644746647818322272046063872204633576764247052123148314173682769733466276587195911865158441272155189289351855581414909858925404503692368008564569216145711  ( 181 digits)
SNFS difficulty: 202 digits.
Divisors found:

Fri Jul 14 11:32:28 2023  prp51 factor: 157499105423778703037106786793217650142326234391801
Fri Jul 14 11:32:28 2023  prp131 factor: 31130552424732232874792599190271931097007448903085942390279346502296389456402136119828205524070703789960626317776547659969048215911
Fri Jul 14 11:32:28 2023  elapsed time 03:15:17 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.097).
Factorization parameters were as follows:
#
# N = 29x10^202-5 = 96(201)5
#
n: 4903034158243371673813096974644746647818322272046063872204633576764247052123148314173682769733466276587195911865158441272155189289351855581414909858925404503692368008564569216145711
m: 10000000000000000000000000000000000000000
deg: 5
c5: 580
c0: -1
skew: 0.28
# Murphy_E = 1.055e-11
type: snfs
lss: 1
rlim: 16800000
alim: 16800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16800000/16800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2741685 hash collisions in 16111021 relations (14043609 unique)
Msieve: matrix is 2458534 x 2458759 (695.1 MB)

Sieving start time: 2023/07/13 19:02:23
Sieving end time  : 2023/07/14 08:16:44

Total sieving time: 13hrs 14min 21secs.

Total relation processing time: 3hrs 0min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 2sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16800000,16800000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:10:26 UTC 2023 年 3 月 14 日 (火) 2 時 10 分 26 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMarch 27, 2023 21:09:28 UTC 2023 年 3 月 28 日 (火) 6 時 9 分 28 秒 (日本時間)

29×10203-53

c177

name 名前Bob Backstrom
date 日付July 28, 2023 08:26:12 UTC 2023 年 7 月 28 日 (金) 17 時 26 分 12 秒 (日本時間)
composite number 合成数
549055685977511726449729034628882088279506141463309697825986446126147422570309171264819869202242136247815397153024065364920701869824653782138105594544692513031876113848744201909<177>
prime factors 素因数
874038606099053032175175356355514833913613594560955885395347271204373386127<75>
628182419113061869806519080115503655837828937314295956689977955650593740418946524576263515163128678267<102>
factorization results 素因数分解の結果
Number: n
N=549055685977511726449729034628882088279506141463309697825986446126147422570309171264819869202242136247815397153024065364920701869824653782138105594544692513031876113848744201909  ( 177 digits)
SNFS difficulty: 203 digits.
Divisors found:

Fri Jul 28 18:15:04 2023  prp75 factor: 874038606099053032175175356355514833913613594560955885395347271204373386127
Fri Jul 28 18:15:04 2023  prp102 factor: 628182419113061869806519080115503655837828937314295956689977955650593740418946524576263515163128678267
Fri Jul 28 18:15:04 2023  elapsed time 03:39:47 (Msieve 1.44 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.070).
Factorization parameters were as follows:
#
# N = 29x10^203-5 = 96(202)5
#
n: 549055685977511726449729034628882088279506141463309697825986446126147422570309171264819869202242136247815397153024065364920701869824653782138105594544692513031876113848744201909
m: 10000000000000000000000000000000000000000
deg: 5
c5: 5800
c0: -1
skew: 0.18
# Murphy_E = 9.222e-12
type: snfs
lss: 1
rlim: 17400000
alim: 17400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17400000/17400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2926478 hash collisions in 16444387 relations (14158954 unique)
Msieve: matrix is 2538128 x 2538353 (717.3 MB)

Sieving start time: 2023/07/28 00:17:47
Sieving end time  : 2023/07/28 14:34:57

Total sieving time: 14hrs 17min 10secs.

Total relation processing time: 3hrs 17min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 17min 30sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17400000,17400000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:10:30 UTC 2023 年 3 月 14 日 (火) 2 時 10 分 30 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMarch 27, 2023 21:08:25 UTC 2023 年 3 月 28 日 (火) 6 時 8 分 25 秒 (日本時間)

29×10204-53

c155

name 名前Bob Backstrom
date 日付September 6, 2023 04:26:47 UTC 2023 年 9 月 6 日 (水) 13 時 26 分 47 秒 (日本時間)
composite number 合成数
38125883368856037404674168639733141743999977811828107720853764698654540959351271606900396605063852814270057816755173075408019289779205206314383159134990201<155>
prime factors 素因数
235374857257316890611999086517124388005999184261<48>
161979422157125287821520970026174701320179332415057266832907283930766061852395533888656788449678205355005541<108>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 38125883368856037404674168639733141743999977811828107720853764698654540959351271606900396605063852814270057816755173075408019289779205206314383159134990201 (155 digits)
Using B1=56680000, B2=388127758210, polynomial Dickson(30), sigma=1:2911324140
Step 1 took 136047ms
Step 2 took 61911ms
********** Factor found in step 2: 235374857257316890611999086517124388005999184261
Found prime factor of 48 digits: 235374857257316890611999086517124388005999184261
Prime cofactor 161979422157125287821520970026174701320179332415057266832907283930766061852395533888656788449678205355005541 has 108 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:10:34 UTC 2023 年 3 月 14 日 (火) 2 時 10 分 34 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMarch 26, 2023 23:35:30 UTC 2023 年 3 月 27 日 (月) 8 時 35 分 30 秒 (日本時間)

29×10205-53

c150

composite cofactor 合成数の残り
463941889694173341594333666034105135408834498821577182177111393175064129548312534502507607996982758783507811757376369406821134033569442097601421133889<150>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:10:37 UTC 2023 年 3 月 14 日 (火) 2 時 10 分 37 秒 (日本時間)
4511e654801000Dmitry DomanovMarch 26, 2023 23:35:34 UTC 2023 年 3 月 27 日 (月) 8 時 35 分 34 秒 (日本時間)
4480Ignacio SantosFebruary 5, 2024 14:23:14 UTC 2024 年 2 月 5 日 (月) 23 時 23 分 14 秒 (日本時間)

29×10206-53

c196

name 名前Bob Backstrom
date 日付April 7, 2024 16:32:48 UTC 2024 年 4 月 8 日 (月) 1 時 32 分 48 秒 (日本時間)
composite number 合成数
9376969175601745078582973727183843956352270968111238496822403829483903447561557560531743223011566428409903452515798388519756254719858330152597890958345303909535052115140717565336519689153193106477<196>
prime factors 素因数
941322685153261011896108243290721601235805663331823068512131<60>
9961482203177795758888856501703859332112706327570571292530521146608274608993809823448461094464367123990564752680768754146458853530842767<136>
factorization results 素因数分解の結果
Number: n
N=9376969175601745078582973727183843956352270968111238496822403829483903447561557560531743223011566428409903452515798388519756254719858330152597890958345303909535052115140717565336519689153193106477  ( 196 digits)
SNFS difficulty: 206 digits.
Divisors found:

Mon Apr  8 00:13:28 2024  prp60 factor: 941322685153261011896108243290721601235805663331823068512131
Mon Apr  8 00:13:28 2024  prp136 factor: 9961482203177795758888856501703859332112706327570571292530521146608274608993809823448461094464367123990564752680768754146458853530842767
Mon Apr  8 00:13:28 2024  elapsed time 03:10:35 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.086).
Factorization parameters were as follows:
#
# N = 29x10^206-5 = 96(205)5
#
n: 9376969175601745078582973727183843956352270968111238496822403829483903447561557560531743223011566428409903452515798388519756254719858330152597890958345303909535052115140717565336519689153193106477
m: 100000000000000000000000000000000000000000
deg: 5
c5: 58
c0: -1
skew: 0.44
# Murphy_E = 8.072e-12
type: snfs
lss: 1
rlim: 19600000
alim: 19600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19600000/19600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4042584 hash collisions in 19708065 relations (15853358 unique)
Msieve: matrix is 2469308 x 2469533 (694.9 MB)

Sieving start time: 2024/04/07 03:33:32
Sieving end time  : 2024/04/07 20:59:23

Total sieving time: 17hrs 25min 51secs.

Total relation processing time: 3hrs 0min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 32sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19600000,19600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:10:41 UTC 2023 年 3 月 14 日 (火) 2 時 10 分 41 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMarch 28, 2023 14:13:32 UTC 2023 年 3 月 28 日 (火) 23 時 13 分 32 秒 (日本時間)

29×10208-53

c192

name 名前Dmitry Domanov
date 日付March 15, 2023 05:47:21 UTC 2023 年 3 月 15 日 (水) 14 時 47 分 21 秒 (日本時間)
composite number 合成数
440369980585223035394418288232883326578965202916563487364108154661930843998647191886851410615777476017943836165994741701810071648790850898365197014245669047930143731301421307637539263493952689<192>
prime factors 素因数
167862851490862259887808827657528630141<39>
composite cofactor 合成数の残り
2623391516789495889668999851260450206651875621483902222315794625879506286473537650127669852080130763710005736306401766886138153662239353881336646528834629<154>
factorization results 素因数分解の結果
Resuming ECM residue saved by @79a3fb28deef with GMP-ECM 7.0.5-dev on Mon Mar 13 14:58:49 2023 
Input number is 440369980585223035394418288232883326578965202916563487364108154661930843998647191886851410615777476017943836165994741701810071648790850898365197014245669047930143731301421307637539263493952689 (192 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1029197107
Step 1 took 0ms
Step 2 took 3027ms
********** Factor found in step 2: 167862851490862259887808827657528630141
Found prime factor of 39 digits: 167862851490862259887808827657528630141
Composite cofactor 2623391516789495889668999851260450206651875621483902222315794625879506286473537650127669852080130763710005736306401766886138153662239353881336646528834629 has 154 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:10:44 UTC 2023 年 3 月 14 日 (火) 2 時 10 分 44 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMarch 26, 2023 23:35:39 UTC 2023 年 3 月 27 日 (月) 8 時 35 分 39 秒 (日本時間)

29×10210-53

c161

composite cofactor 合成数の残り
30680408736548872158358192863346110941335677739868368766457340770471402310376926619708944712394185125125800296923215150572616657241189888965329452758715641283599<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:10:49 UTC 2023 年 3 月 14 日 (火) 2 時 10 分 49 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMarch 27, 2023 21:08:36 UTC 2023 年 3 月 28 日 (火) 6 時 8 分 36 秒 (日本時間)

29×10212-53

c180

name 名前Dmitry Domanov
date 日付March 29, 2023 18:44:06 UTC 2023 年 3 月 30 日 (木) 3 時 44 分 6 秒 (日本時間)
composite number 合成数
477402613900566339289827109863709054639805188852954891129684539621124690832020264107512833737175099267799531323948057734985759641250530586659700735894911602309933421012371371686179<180>
prime factors 素因数
196860227520806455714874803673973236068469<42>
composite cofactor 合成数の残り
2425084131583201252275275419936670629780832160757503512820332388493823842083425708265234683720622764314234137131628544516449593229331009591<139>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:210126641
Step 1 took 30343ms
Step 2 took 13388ms
********** Factor found in step 2: 196860227520806455714874803673973236068469
Found prime factor of 42 digits: 196860227520806455714874803673973236068469
Composite cofactor 2425084131583201252275275419936670629780832160757503512820332388493823842083425708265234683720622764314234137131628544516449593229331009591 has 139 digits

c139

name 名前Ignacio Santos
date 日付April 12, 2023 14:49:13 UTC 2023 年 4 月 12 日 (水) 23 時 49 分 13 秒 (日本時間)
composite number 合成数
2425084131583201252275275419936670629780832160757503512820332388493823842083425708265234683720622764314234137131628544516449593229331009591<139>
prime factors 素因数
72978518335383791953132709690446736709584656579<47>
33230109173200272863184044177025283662425980652774266622134905451685588552470787380123407229<92>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3010270242
Step 1 took 82484ms
********** Factor found in step 1: 72978518335383791953132709690446736709584656579
Found prime factor of 47 digits: 72978518335383791953132709690446736709584656579
Prime cofactor 33230109173200272863184044177025283662425980652774266622134905451685588552470787380123407229 has 92 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:10:53 UTC 2023 年 3 月 14 日 (火) 2 時 10 分 53 秒 (日本時間)
4511e654801000Dmitry DomanovMarch 27, 2023 21:08:45 UTC 2023 年 3 月 28 日 (火) 6 時 8 分 45 秒 (日本時間)
4480Ignacio SantosApril 2, 2023 08:44:55 UTC 2023 年 4 月 2 日 (日) 17 時 44 分 55 秒 (日本時間)

29×10213-53

c167

name 名前Dmitry Domanov
date 日付March 15, 2023 05:46:59 UTC 2023 年 3 月 15 日 (水) 14 時 46 分 59 秒 (日本時間)
composite number 合成数
10088989578626312122958341169718411252305125641442277592785963776235655313266221563372520029876777932874790750656333271699919384023407592202472106325206660385917090503<167>
prime factors 素因数
73269653565181225623122594830620873809<38>
137696700990282046142761118502437645411772053205387501954176367719043032704352658877718365682835960563479594818130098192273231767<129>
factorization results 素因数分解の結果
Resuming ECM residue saved by @79a3fb28deef with GMP-ECM 7.0.5-dev on Mon Mar 13 14:18:43 2023 
Input number is 10088989578626312122958341169718411252305125641442277592785963776235655313266221563372520029876777932874790750656333271699919384023407592202472106325206660385917090503 (167 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4111699607
Step 1 took 0ms
Step 2 took 2991ms
********** Factor found in step 2: 73269653565181225623122594830620873809
Found prime factor of 38 digits: 73269653565181225623122594830620873809
Prime cofactor 137696700990282046142761118502437645411772053205387501954176367719043032704352658877718365682835960563479594818130098192273231767 has 129 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 13, 2023 17:10:57 UTC 2023 年 3 月 14 日 (火) 2 時 10 分 57 秒 (日本時間)

29×10216-53

c179

composite cofactor 合成数の残り
20608753874148573185071054608115207195500394256374879772545550580266857677708277043177211276854667898877688580085865146913364366494358547919788394506845638643531232451984819870133<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:11:02 UTC 2023 年 3 月 14 日 (火) 2 時 11 分 2 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMarch 27, 2023 21:09:37 UTC 2023 年 3 月 28 日 (火) 6 時 9 分 37 秒 (日本時間)

29×10217-53

c182

name 名前Dmitry Domanov
date 日付March 11, 2023 10:20:53 UTC 2023 年 3 月 11 日 (土) 19 時 20 分 53 秒 (日本時間)
composite number 合成数
12120428054695012938548581262297454421355436873065216123859086105340760354106315200697175202241219923845765090446699359053403636534790317524449994771111110723015536067439819446844517<182>
prime factors 素因数
127930340254849605578054333968426613<36>
94742404581664900596643716602777924290703313534618909689626475840277895178244129241116312256680477362123851139880541093727136522364046476345385009<146>
factorization results 素因数分解の結果
GPU: factor 127930340254849605578054333968426613 found in Step 1 with curve 1132 (-sigma 3:-1790082295)
Computing 1792 Step 1 took 299ms of CPU time / 178552ms of GPU time
Throughput: 10.036 curves per second (on average 99.64ms per Step 1)
********** Factor found in step 1: 127930340254849605578054333968426613
Found prime factor of 36 digits: 127930340254849605578054333968426613
Prime cofactor 94742404581664900596643716602777924290703313534618909689626475840277895178244129241116312256680477362123851139880541093727136522364046476345385009 has 146 digits
Peak memory usage: 9428MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10218-53

c193

composite cofactor 合成数の残り
4677494820495178451945294935675632081054964114089573166190373792263314506594709024334933109839152100107445967526612939764189637436427731804747197184717261518180892720570788015443919152950697209<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:11:06 UTC 2023 年 3 月 14 日 (火) 2 時 11 分 6 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMarch 28, 2023 20:55:53 UTC 2023 年 3 月 29 日 (水) 5 時 55 分 53 秒 (日本時間)

29×10221-53

c151

name 名前Ignacio Santos
date 日付March 4, 2023 11:38:20 UTC 2023 年 3 月 4 日 (土) 20 時 38 分 20 秒 (日本時間)
composite number 合成数
5256636442873596437453519339216485478131669396343199479954873587236857710111446679813644117675952409720040737925618041391523184651914482550342511106049<151>
prime factors 素因数
1295514615540040042563901759180395455789<40>
4057566298225318099598641157502907173170113629555631427722443556640412101221839655949436007413083972516836338341<112>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3772300213
Step 1 took 20891ms
Step 2 took 9234ms
********** Factor found in step 2: 1295514615540040042563901759180395455789
Found prime factor of 40 digits: 1295514615540040042563901759180395455789
Prime cofactor 4057566298225318099598641157502907173170113629555631427722443556640412101221839655949436007413083972516836338341 has 112 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosFebruary 26, 2023 17:03:52 UTC 2023 年 2 月 27 日 (月) 2 時 3 分 52 秒 (日本時間)

29×10223-53

c152

name 名前Ignacio Santos
date 日付February 26, 2023 17:11:01 UTC 2023 年 2 月 27 日 (月) 2 時 11 分 1 秒 (日本時間)
composite number 合成数
83739910693848595918236968799363012307556021758448811945968359023627884486482920715178544514144029419908490243830057343798718683567462398311222772955947<152>
prime factors 素因数
7216409070815526442218824575115089<34>
11604096978441543363650575956625278611090695202107547568099068627208900468335632189043141084400210473339976597944200123<119>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3699538233
Step 1 took 5562ms
Step 2 took 2828ms
********** Factor found in step 2: 7216409070815526442218824575115089
Found prime factor of 34 digits: 7216409070815526442218824575115089
Prime cofactor 11604096978441543363650575956625278611090695202107547568099068627208900468335632189043141084400210473339976597944200123 has 119 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10224-53

c176

composite cofactor 合成数の残り
12516236618783426929627599856983441791961628895239724216750322176660259408337255744722572374844840665776149591715830552191321726757339576940435738089512194253638759729470292257<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:11:09 UTC 2023 年 3 月 14 日 (火) 2 時 11 分 9 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMarch 27, 2023 21:09:48 UTC 2023 年 3 月 28 日 (火) 6 時 9 分 48 秒 (日本時間)

29×10225-53

c211

name 名前Dmitry Domanov
date 日付March 15, 2023 05:46:38 UTC 2023 年 3 月 15 日 (水) 14 時 46 分 38 秒 (日本時間)
composite number 合成数
1576824759605099084364665651561778329558286083626370259662492805849565172125379168483933921323661546764879182705196943082492591883414430628543184300579659082990777021818121679027863556205063426373484870156390279<211>
prime factors 素因数
1050653225867091103147257639709308517205773<43>
composite cofactor 合成数の残り
1500804186180235754724517018519510344822000677202851990561488796575005061712604635881312683858208825924984159388810241405659664626805833422943296276272454918822690327523<169>
factorization results 素因数分解の結果
Resuming ECM residue saved by @79a3fb28deef with GMP-ECM 7.0.5-dev on Mon Mar 13 13:45:09 2023 
Input number is 1576824759605099084364665651561778329558286083626370259662492805849565172125379168483933921323661546764879182705196943082492591883414430628543184300579659082990777021818121679027863556205063426373484870156390279 (211 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3764359786
Step 1 took 0ms
Step 2 took 3398ms
********** Factor found in step 2: 1050653225867091103147257639709308517205773
Found prime factor of 43 digits: 1050653225867091103147257639709308517205773
Composite cofactor 1500804186180235754724517018519510344822000677202851990561488796575005061712604635881312683858208825924984159388810241405659664626805833422943296276272454918822690327523 has 169 digits

c169

name 名前Dmitry Domanov
date 日付March 29, 2023 20:09:41 UTC 2023 年 3 月 30 日 (木) 5 時 9 分 41 秒 (日本時間)
composite number 合成数
1500804186180235754724517018519510344822000677202851990561488796575005061712604635881312683858208825924984159388810241405659664626805833422943296276272454918822690327523<169>
prime factors 素因数
152857185037785816666604075385081594472184343<45>
9818342433881938016508120720346568089437885341609643852220463259466078466736982104080485659101761566593147480963476812298261<124>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3836987442
Step 1 took 26433ms
Step 2 took 12331ms
********** Factor found in step 2: 152857185037785816666604075385081594472184343
Found prime factor of 45 digits: 152857185037785816666604075385081594472184343
Prime cofactor 9818342433881938016508120720346568089437885341609643852220463259466078466736982104080485659101761566593147480963476812298261 has 124 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:11:15 UTC 2023 年 3 月 14 日 (火) 2 時 11 分 15 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMarch 27, 2023 21:08:58 UTC 2023 年 3 月 28 日 (火) 6 時 8 分 58 秒 (日本時間)

29×10226-53

c227

name 名前Dmitry Domanov
date 日付March 15, 2023 05:45:14 UTC 2023 年 3 月 15 日 (水) 14 時 45 分 14 秒 (日本時間)
composite number 合成数
19333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<227>
prime factors 素因数
17052423723991755150944596871748757699<38>
composite cofactor 合成数の残り
1133758675380114604667859951258478217384395891726878751882914988593674747637744200665979486032847495225402357243599154961110511665755083451504687251308984707106651006051087748724536063682567<190>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f59cb39d33d3 with GMP-ECM 7.0.5-dev on Sat Mar 11 08:40:11 2023 
Input number is 19333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 (227 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2845252275
Step 1 took 0ms
Step 2 took 5515ms
********** Factor found in step 2: 17052423723991755150944596871748757699
Found prime factor of 38 digits: 17052423723991755150944596871748757699
Composite cofactor 1133758675380114604667859951258478217384395891726878751882914988593674747637744200665979486032847495225402357243599154961110511665755083451504687251308984707106651006051087748724536063682567 has 190 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:11:18 UTC 2023 年 3 月 14 日 (火) 2 時 11 分 18 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMarch 28, 2023 20:56:04 UTC 2023 年 3 月 29 日 (水) 5 時 56 分 4 秒 (日本時間)

29×10228-53

c189

composite cofactor 合成数の残り
694982144529524530407300101552190348947240941767889335586612430130854355032230855346142853447987186416402883910398802896715495850061161845973955720953704036680567418372845840156089893483771<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:11:58 UTC 2023 年 3 月 14 日 (火) 2 時 11 分 58 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMarch 28, 2023 20:56:12 UTC 2023 年 3 月 29 日 (水) 5 時 56 分 12 秒 (日本時間)

29×10229-53

c189

composite cofactor 合成数の残り
384679125807934418056572907487794480209141013058348499516842019357960806817149307952009252407779627119189591293067836172309425455279400362987466903047365916848908252667950246306729183377603<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:12:01 UTC 2023 年 3 月 14 日 (火) 2 時 12 分 1 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMarch 28, 2023 20:56:20 UTC 2023 年 3 月 29 日 (水) 5 時 56 分 20 秒 (日本時間)

29×10231-53

c163

composite cofactor 合成数の残り
3493424227555351357534519871494474717421686082532276481163240161248952210374059037842147845669511927337877489512326328780431146129645175501312868229493629526896783<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:12:04 UTC 2023 年 3 月 14 日 (火) 2 時 12 分 4 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMarch 27, 2023 21:09:07 UTC 2023 年 3 月 28 日 (火) 6 時 9 分 7 秒 (日本時間)

29×10232-53

c157

name 名前Ignacio Santos
date 日付March 7, 2023 08:24:01 UTC 2023 年 3 月 7 日 (火) 17 時 24 分 1 秒 (日本時間)
composite number 合成数
1794727709888334950444301222012342463468531298098341312449328391538184117452972397322212278484568631783398309898094856505951173284689338996087130233610005919<157>
prime factors 素因数
809123336725712340885389934585733065105051427<45>
composite cofactor 合成数の残り
2218113887495913637570884849499817981462621175638821741965615874723370519838632316397545520091294920440496352597<112>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1976447481
Step 1 took 23562ms
Step 2 took 10063ms
********** Factor found in step 2: 809123336725712340885389934585733065105051427
Found prime factor of 45 digits: 809123336725712340885389934585733065105051427
Composite cofactor 2218113887495913637570884849499817981462621175638821741965615874723370519838632316397545520091294920440496352597 has 112 digits
 
software ソフトウェア
GMP-ECM

c112

name 名前Ignacio Santos
date 日付March 7, 2023 15:51:00 UTC 2023 年 3 月 8 日 (水) 0 時 51 分 0 秒 (日本時間)
composite number 合成数
2218113887495913637570884849499817981462621175638821741965615874723370519838632316397545520091294920440496352597<112>
prime factors 素因数
88603736871240249186879432884326643924492419073707<50>
25034089597364237311580185780572012621311201987109154489654271<62>
factorization results 素因数分解の結果
-> makeJobFile(): Adjusted to q0=1750000, q1=1850000.
->               client 1 q0: 1750000
      LatSieveTime: 87
        LatSieveTime: 94
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 102
        LatSieveTime: 104
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        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 107
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        LatSieveTime: 107
        LatSieveTime: 109
        LatSieveTime: 110
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        LatSieveTime: 110
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        LatSieveTime: 112
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        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 130
-> makeJobFile(): Adjusted to q0=1850001, q1=1950000.
->               client 1 q0: 1850001
      LatSieveTime: 91
        LatSieveTime: 93
        LatSieveTime: 96
        LatSieveTime: 96
        LatSieveTime: 98
        LatSieveTime: 98
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        LatSieveTime: 105
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        LatSieveTime: 107
        LatSieveTime: 107
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        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 126
        LatSieveTime: 127
-> makeJobFile(): Adjusted to q0=1950001, q1=2050000.
->               client 1 q0: 1950001
      LatSieveTime: 90
        LatSieveTime: 94
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 104
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
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        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 123
        LatSieveTime: 124
-> makeJobFile(): Adjusted to q0=2050001, q1=2150000.
->               client 1 q0: 2050001
      LatSieveTime: 91
        LatSieveTime: 93
        LatSieveTime: 94
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 122
        LatSieveTime: 126
        LatSieveTime: 127
-> makeJobFile(): Adjusted to q0=2150001, q1=2250000.
->               client 1 q0: 2150001
      LatSieveTime: 91
        LatSieveTime: 93
        LatSieveTime: 96
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 105
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 106
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        LatSieveTime: 107
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        LatSieveTime: 109
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        LatSieveTime: 110
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        LatSieveTime: 114
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        LatSieveTime: 116
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 121
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        LatSieveTime: 124
        LatSieveTime: 125
-> makeJobFile(): Adjusted to q0=2250001, q1=2350000.
->               client 1 q0: 2250001
      LatSieveTime: 87
        LatSieveTime: 91
        LatSieveTime: 91
        LatSieveTime: 92
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 100
        LatSieveTime: 101
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        LatSieveTime: 107
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        LatSieveTime: 110
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        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 123
        LatSieveTime: 125
        LatSieveTime: 134
-> makeJobFile(): Adjusted to q0=2350001, q1=2450000.
->               client 1 q0: 2350001
      LatSieveTime: 91
        LatSieveTime: 93
        LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 98
        LatSieveTime: 98
        LatSieveTime: 99
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        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 126
        LatSieveTime: 143
Tue Mar 07 16:42:12 2023  
Tue Mar 07 16:42:12 2023  
Tue Mar 07 16:42:12 2023  Msieve v. 1.52 (SVN 927)
Tue Mar 07 16:42:12 2023  random seeds: 5c789688 d4f7432f
Tue Mar 07 16:42:12 2023  factoring 2218113887495913637570884849499817981462621175638821741965615874723370519838632316397545520091294920440496352597 (112 digits)
Tue Mar 07 16:42:12 2023  searching for 15-digit factors
Tue Mar 07 16:42:12 2023  commencing number field sieve (112-digit input)
Tue Mar 07 16:42:13 2023  R0: -4547992266726886114961
Tue Mar 07 16:42:13 2023  R1: 494982991531
Tue Mar 07 16:42:13 2023  A0: -17998850607179567548391911200
Tue Mar 07 16:42:13 2023  A1: 479989791505520055145660
Tue Mar 07 16:42:13 2023  A2: 7980707179339651448
Tue Mar 07 16:42:13 2023  A3: -73906248629279
Tue Mar 07 16:42:13 2023  A4: -472659652
Tue Mar 07 16:42:13 2023  A5: 1140
Tue Mar 07 16:42:13 2023  skew 139512.28, size 9.693e-011, alpha -6.247, combined = 7.540e-010 rroots = 5
Tue Mar 07 16:42:13 2023  
Tue Mar 07 16:42:13 2023  commencing relation filtering
Tue Mar 07 16:42:13 2023  estimated available RAM is 65413.5 MB
Tue Mar 07 16:42:13 2023  commencing duplicate removal, pass 1
Tue Mar 07 16:42:25 2023  found 544698 hash collisions in 6529984 relations
Tue Mar 07 16:42:33 2023  added 56409 free relations
Tue Mar 07 16:42:33 2023  commencing duplicate removal, pass 2
Tue Mar 07 16:42:35 2023  found 301272 duplicates and 6285121 unique relations
Tue Mar 07 16:42:35 2023  memory use: 24.6 MB
Tue Mar 07 16:42:35 2023  reading ideals above 100000
Tue Mar 07 16:42:35 2023  commencing singleton removal, initial pass
Tue Mar 07 16:42:57 2023  memory use: 188.3 MB
Tue Mar 07 16:42:57 2023  reading all ideals from disk
Tue Mar 07 16:42:57 2023  memory use: 212.4 MB
Tue Mar 07 16:42:57 2023  keeping 7444328 ideals with weight <= 200, target excess is 33118
Tue Mar 07 16:42:58 2023  commencing in-memory singleton removal
Tue Mar 07 16:42:58 2023  begin with 6285121 relations and 7444328 unique ideals
Tue Mar 07 16:42:59 2023  reduce to 1358198 relations and 1447055 ideals in 24 passes
Tue Mar 07 16:42:59 2023  max relations containing the same ideal: 68
Tue Mar 07 16:43:00 2023  filtering wants 1000000 more relations
Tue Mar 07 16:43:00 2023  elapsed time 00:00:48
-> makeJobFile(): Adjusted to q0=2450001, q1=2550000.
->               client 1 q0: 2450001
      LatSieveTime: 95
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
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        LatSieveTime: 118
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        LatSieveTime: 119
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
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        LatSieveTime: 122
        LatSieveTime: 123
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        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 128
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 139
Tue Mar 07 16:45:24 2023  
Tue Mar 07 16:45:24 2023  
Tue Mar 07 16:45:24 2023  Msieve v. 1.52 (SVN 927)
Tue Mar 07 16:45:24 2023  random seeds: de9a3d74 3785212e
Tue Mar 07 16:45:24 2023  factoring 2218113887495913637570884849499817981462621175638821741965615874723370519838632316397545520091294920440496352597 (112 digits)
Tue Mar 07 16:45:24 2023  searching for 15-digit factors
Tue Mar 07 16:45:24 2023  commencing number field sieve (112-digit input)
Tue Mar 07 16:45:24 2023  R0: -4547992266726886114961
Tue Mar 07 16:45:24 2023  R1: 494982991531
Tue Mar 07 16:45:24 2023  A0: -17998850607179567548391911200
Tue Mar 07 16:45:24 2023  A1: 479989791505520055145660
Tue Mar 07 16:45:24 2023  A2: 7980707179339651448
Tue Mar 07 16:45:24 2023  A3: -73906248629279
Tue Mar 07 16:45:24 2023  A4: -472659652
Tue Mar 07 16:45:24 2023  A5: 1140
Tue Mar 07 16:45:24 2023  skew 139512.28, size 9.693e-011, alpha -6.247, combined = 7.540e-010 rroots = 5
Tue Mar 07 16:45:24 2023  
Tue Mar 07 16:45:24 2023  commencing relation filtering
Tue Mar 07 16:45:24 2023  estimated available RAM is 65413.5 MB
Tue Mar 07 16:45:24 2023  commencing duplicate removal, pass 1
Tue Mar 07 16:45:40 2023  found 700919 hash collisions in 7538990 relations
Tue Mar 07 16:45:47 2023  added 1357 free relations
Tue Mar 07 16:45:47 2023  commencing duplicate removal, pass 2
Tue Mar 07 16:45:49 2023  found 386467 duplicates and 7153880 unique relations
Tue Mar 07 16:45:49 2023  memory use: 24.6 MB
Tue Mar 07 16:45:49 2023  reading ideals above 100000
Tue Mar 07 16:45:49 2023  commencing singleton removal, initial pass
Tue Mar 07 16:46:15 2023  memory use: 188.3 MB
Tue Mar 07 16:46:15 2023  reading all ideals from disk
Tue Mar 07 16:46:15 2023  memory use: 241.9 MB
Tue Mar 07 16:46:15 2023  keeping 7927822 ideals with weight <= 200, target excess is 38020
Tue Mar 07 16:46:15 2023  commencing in-memory singleton removal
Tue Mar 07 16:46:16 2023  begin with 7153880 relations and 7927822 unique ideals
Tue Mar 07 16:46:18 2023  reduce to 2325008 relations and 2175137 ideals in 17 passes
Tue Mar 07 16:46:18 2023  max relations containing the same ideal: 96
Tue Mar 07 16:46:18 2023  removing 392318 relations and 339434 ideals in 52884 cliques
Tue Mar 07 16:46:18 2023  commencing in-memory singleton removal
Tue Mar 07 16:46:18 2023  begin with 1932690 relations and 2175137 unique ideals
Tue Mar 07 16:46:18 2023  reduce to 1878590 relations and 1779995 ideals in 8 passes
Tue Mar 07 16:46:18 2023  max relations containing the same ideal: 80
Tue Mar 07 16:46:19 2023  removing 301626 relations and 248742 ideals in 52884 cliques
Tue Mar 07 16:46:19 2023  commencing in-memory singleton removal
Tue Mar 07 16:46:19 2023  begin with 1576964 relations and 1779995 unique ideals
Tue Mar 07 16:46:19 2023  reduce to 1536192 relations and 1489297 ideals in 9 passes
Tue Mar 07 16:46:19 2023  max relations containing the same ideal: 69
Tue Mar 07 16:46:20 2023  relations with 0 large ideals: 112
Tue Mar 07 16:46:20 2023  relations with 1 large ideals: 391
Tue Mar 07 16:46:20 2023  relations with 2 large ideals: 5782
Tue Mar 07 16:46:20 2023  relations with 3 large ideals: 43941
Tue Mar 07 16:46:20 2023  relations with 4 large ideals: 170920
Tue Mar 07 16:46:20 2023  relations with 5 large ideals: 369607
Tue Mar 07 16:46:20 2023  relations with 6 large ideals: 458373
Tue Mar 07 16:46:20 2023  relations with 7+ large ideals: 487066
Tue Mar 07 16:46:20 2023  commencing 2-way merge
Tue Mar 07 16:46:20 2023  reduce to 867397 relation sets and 820502 unique ideals
Tue Mar 07 16:46:20 2023  commencing full merge
Tue Mar 07 16:46:28 2023  memory use: 93.7 MB
Tue Mar 07 16:46:29 2023  found 430504 cycles, need 422702
Tue Mar 07 16:46:29 2023  weight of 422702 cycles is about 29595379 (70.01/cycle)
Tue Mar 07 16:46:29 2023  distribution of cycle lengths:
Tue Mar 07 16:46:29 2023  1 relations: 46930
Tue Mar 07 16:46:29 2023  2 relations: 45781
Tue Mar 07 16:46:29 2023  3 relations: 46872
Tue Mar 07 16:46:29 2023  4 relations: 42962
Tue Mar 07 16:46:29 2023  5 relations: 39778
Tue Mar 07 16:46:29 2023  6 relations: 34248
Tue Mar 07 16:46:29 2023  7 relations: 30538
Tue Mar 07 16:46:29 2023  8 relations: 26672
Tue Mar 07 16:46:29 2023  9 relations: 22780
Tue Mar 07 16:46:29 2023  10+ relations: 86141
Tue Mar 07 16:46:29 2023  heaviest cycle: 21 relations
Tue Mar 07 16:46:29 2023  commencing cycle optimization
Tue Mar 07 16:46:29 2023  start with 2579740 relations
Tue Mar 07 16:46:32 2023  pruned 52818 relations
Tue Mar 07 16:46:32 2023  memory use: 87.3 MB
Tue Mar 07 16:46:32 2023  distribution of cycle lengths:
Tue Mar 07 16:46:32 2023  1 relations: 46930
Tue Mar 07 16:46:32 2023  2 relations: 46668
Tue Mar 07 16:46:32 2023  3 relations: 48289
Tue Mar 07 16:46:32 2023  4 relations: 43817
Tue Mar 07 16:46:32 2023  5 relations: 40609
Tue Mar 07 16:46:32 2023  6 relations: 34718
Tue Mar 07 16:46:32 2023  7 relations: 30752
Tue Mar 07 16:46:32 2023  8 relations: 26754
Tue Mar 07 16:46:32 2023  9 relations: 22679
Tue Mar 07 16:46:32 2023  10+ relations: 81486
Tue Mar 07 16:46:32 2023  heaviest cycle: 21 relations
Tue Mar 07 16:46:32 2023  RelProcTime: 68
Tue Mar 07 16:46:32 2023  elapsed time 00:01:08
Tue Mar 07 16:46:32 2023  
Tue Mar 07 16:46:32 2023  
Tue Mar 07 16:46:32 2023  Msieve v. 1.52 (SVN 927)
Tue Mar 07 16:46:32 2023  random seeds: d71847e4 12c72e10
Tue Mar 07 16:46:32 2023  factoring 2218113887495913637570884849499817981462621175638821741965615874723370519838632316397545520091294920440496352597 (112 digits)
Tue Mar 07 16:46:33 2023  searching for 15-digit factors
Tue Mar 07 16:46:33 2023  commencing number field sieve (112-digit input)
Tue Mar 07 16:46:33 2023  R0: -4547992266726886114961
Tue Mar 07 16:46:33 2023  R1: 494982991531
Tue Mar 07 16:46:33 2023  A0: -17998850607179567548391911200
Tue Mar 07 16:46:33 2023  A1: 479989791505520055145660
Tue Mar 07 16:46:33 2023  A2: 7980707179339651448
Tue Mar 07 16:46:33 2023  A3: -73906248629279
Tue Mar 07 16:46:33 2023  A4: -472659652
Tue Mar 07 16:46:33 2023  A5: 1140
Tue Mar 07 16:46:33 2023  skew 139512.28, size 9.693e-011, alpha -6.247, combined = 7.540e-010 rroots = 5
Tue Mar 07 16:46:33 2023  
Tue Mar 07 16:46:33 2023  commencing linear algebra
Tue Mar 07 16:46:33 2023  read 422702 cycles
Tue Mar 07 16:46:33 2023  cycles contain 1471668 unique relations
Tue Mar 07 16:46:36 2023  read 1471668 relations
Tue Mar 07 16:46:37 2023  using 20 quadratic characters above 134212658
Tue Mar 07 16:46:41 2023  building initial matrix
Tue Mar 07 16:46:48 2023  memory use: 184.1 MB
Tue Mar 07 16:46:49 2023  read 422702 cycles
Tue Mar 07 16:46:49 2023  matrix is 422522 x 422702 (126.4 MB) with weight 39981269 (94.59/col)
Tue Mar 07 16:46:49 2023  sparse part has weight 28477339 (67.37/col)
Tue Mar 07 16:46:51 2023  filtering completed in 2 passes
Tue Mar 07 16:46:51 2023  matrix is 421526 x 421706 (126.3 MB) with weight 39937533 (94.70/col)
Tue Mar 07 16:46:51 2023  sparse part has weight 28461608 (67.49/col)
Tue Mar 07 16:46:51 2023  matrix starts at (0, 0)
Tue Mar 07 16:46:51 2023  matrix is 421526 x 421706 (126.3 MB) with weight 39937533 (94.70/col)
Tue Mar 07 16:46:51 2023  sparse part has weight 28461608 (67.49/col)
Tue Mar 07 16:46:51 2023  saving the first 48 matrix rows for later
Tue Mar 07 16:46:52 2023  matrix includes 64 packed rows
Tue Mar 07 16:46:52 2023  matrix is 421478 x 421706 (122.1 MB) with weight 31776032 (75.35/col)
Tue Mar 07 16:46:52 2023  sparse part has weight 27798388 (65.92/col)
Tue Mar 07 16:46:52 2023  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
Tue Mar 07 16:46:53 2023  commencing Lanczos iteration (32 threads)
Tue Mar 07 16:46:53 2023  memory use: 94.4 MB
Tue Mar 07 16:46:58 2023  linear algebra at 2.9%, ETA 0h 2m
Tue Mar 07 16:49:44 2023  lanczos halted after 6667 iterations (dim = 421476)
Tue Mar 07 16:49:44 2023  recovered 29 nontrivial dependencies
Tue Mar 07 16:49:44 2023  BLanczosTime: 191
Tue Mar 07 16:49:44 2023  elapsed time 00:03:12
Tue Mar 07 16:49:44 2023  
Tue Mar 07 16:49:44 2023  
Tue Mar 07 16:49:44 2023  Msieve v. 1.52 (SVN 927)
Tue Mar 07 16:49:44 2023  random seeds: 765de180 30df7396
Tue Mar 07 16:49:44 2023  factoring 2218113887495913637570884849499817981462621175638821741965615874723370519838632316397545520091294920440496352597 (112 digits)
Tue Mar 07 16:49:45 2023  searching for 15-digit factors
Tue Mar 07 16:49:45 2023  commencing number field sieve (112-digit input)
Tue Mar 07 16:49:45 2023  R0: -4547992266726886114961
Tue Mar 07 16:49:45 2023  R1: 494982991531
Tue Mar 07 16:49:45 2023  A0: -17998850607179567548391911200
Tue Mar 07 16:49:45 2023  A1: 479989791505520055145660
Tue Mar 07 16:49:45 2023  A2: 7980707179339651448
Tue Mar 07 16:49:45 2023  A3: -73906248629279
Tue Mar 07 16:49:45 2023  A4: -472659652
Tue Mar 07 16:49:45 2023  A5: 1140
Tue Mar 07 16:49:45 2023  skew 139512.28, size 9.693e-011, alpha -6.247, combined = 7.540e-010 rroots = 5
Tue Mar 07 16:49:45 2023  
Tue Mar 07 16:49:45 2023  commencing square root phase
Tue Mar 07 16:49:45 2023  reading relations for dependency 1
Tue Mar 07 16:49:45 2023  read 210867 cycles
Tue Mar 07 16:49:45 2023  cycles contain 737032 unique relations
Tue Mar 07 16:49:47 2023  read 737032 relations
Tue Mar 07 16:49:48 2023  multiplying 737032 relations
Tue Mar 07 16:50:02 2023  multiply complete, coefficients have about 30.04 million bits
Tue Mar 07 16:50:03 2023  initial square root is modulo 424275961
Tue Mar 07 16:50:20 2023  sqrtTime: 35
Tue Mar 07 16:50:20 2023  prp50 factor: 88603736871240249186879432884326643924492419073707
Tue Mar 07 16:50:20 2023  prp62 factor: 25034089597364237311580185780572012621311201987109154489654271
Tue Mar 07 16:50:20 2023  elapsed time 00:00:36
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 1, 2023 08:45:29 UTC 2023 年 3 月 1 日 (水) 17 時 45 分 29 秒 (日本時間)

29×10233-53

c209

composite cofactor 合成数の残り
29680202957512687556826965010041943264893318753965269449003394896865657316607755951166399235456587824518916745434676744355296488603889193035058110123780320128530920022940345562281651190452771245835365219972147<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:12:08 UTC 2023 年 3 月 14 日 (火) 2 時 12 分 8 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovApril 5, 2023 07:04:32 UTC 2023 年 4 月 5 日 (水) 16 時 4 分 32 秒 (日本時間)

29×10235-53

c191

composite cofactor 合成数の残り
23163958748437745747442130493908810403333627449347994873512290095117020350541314371655456791479427679820353692905554651675395557352281576889183595715968180120453485127800111253958793095620681<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:12:12 UTC 2023 年 3 月 14 日 (火) 2 時 12 分 12 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMarch 28, 2023 20:56:27 UTC 2023 年 3 月 29 日 (水) 5 時 56 分 27 秒 (日本時間)

29×10236-53

c201

composite cofactor 合成数の残り
348209363008009654301281240726861289571321864014120827289425986177509154017847153326017237186531965103822827681937562754880287527914677551229094248718609232234629194141493605223256609952493805077448137<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 13, 2023 17:12:16 UTC 2023 年 3 月 14 日 (火) 2 時 12 分 16 秒 (日本時間)
2350Ignacio SantosOctober 25, 2023 09:42:42 UTC 2023 年 10 月 25 日 (水) 18 時 42 分 42 秒 (日本時間)

29×10237-53

c196

name 名前Dmitry Domanov
date 日付March 30, 2023 04:57:41 UTC 2023 年 3 月 30 日 (木) 13 時 57 分 41 秒 (日本時間)
composite number 合成数
1751819422577366427973239647751682478384893767311275584693671602830739074196665978468122681471828203566657938405582579118829392771742272576647224103031715023320338918004113601312685786053287651777<196>
prime factors 素因数
1815616777823074246371117646850590949976076933<46>
964861882735958801391998080634666911527114020577729685387412549386106132505778969410218310693275219498733836513772695083147900064655406064375286809869<150>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=840041800
Step 1 took 48652ms
Step 2 took 15828ms
********** Factor found in step 2: 1815616777823074246371117646850590949976076933
Found probable prime factor of 46 digits: 1815616777823074246371117646850590949976076933
Probable prime cofactor 964861882735958801391998080634666911527114020577729685387412549386106132505778969410218310693275219498733836513772695083147900064655406064375286809869 has 150 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:12:19 UTC 2023 年 3 月 14 日 (火) 2 時 12 分 19 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMarch 28, 2023 20:56:37 UTC 2023 年 3 月 29 日 (水) 5 時 56 分 37 秒 (日本時間)

29×10238-53

c199

composite cofactor 合成数の残り
5012435335422359391252469628553241720387321229622998041037871735531217501983702148273211479601501741202151075462483859812558466797542723188261571617388183116413826970446198314943403856307756604636767<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:12:24 UTC 2023 年 3 月 14 日 (火) 2 時 12 分 24 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMarch 28, 2023 20:56:44 UTC 2023 年 3 月 29 日 (水) 5 時 56 分 44 秒 (日本時間)

29×10239-53

c186

composite cofactor 合成数の残り
325943463754807152359148769154583806355038521746684298490204265302094550765476352001649168813058397902403743773580272938977230946802936945016638360650834708102841021443790473235091242861<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:12:29 UTC 2023 年 3 月 14 日 (火) 2 時 12 分 29 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovMarch 28, 2023 20:56:54 UTC 2023 年 3 月 29 日 (水) 5 時 56 分 54 秒 (日本時間)

29×10240-53

c238

composite cofactor 合成数の残り
4139900071377587437544610992148465381870092790863668807994289793004996431120628122769450392576730906495360456816559600285510349750178443968593861527480371163454675231977159172019985724482512491077801570306923625981441827266238401142041399<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:12:49 UTC 2023 年 3 月 14 日 (火) 2 時 12 分 49 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 24, 2023 23:18:11 UTC 2023 年 3 月 25 日 (土) 8 時 18 分 11 秒 (日本時間)

29×10241-53

c212

name 名前Ignacio Santos
date 日付October 25, 2023 09:43:10 UTC 2023 年 10 月 25 日 (水) 18 時 43 分 10 秒 (日本時間)
composite number 合成数
19120318225808842969095441765690632717391175055985306989074938297148671496890973993825000595471056412294231959453790272718607731202237512307472045920349552076690210049421948035824635065748976786687055981285137167<212>
prime factors 素因数
35141559953025652820255484814423448154877491851<47>
composite cofactor 合成数の残り
544094179409431791051743015524328728873677610303310794782298997629311876109120093962507585457230608554149409906075540321825537334106357909034506705893294385785480717<165>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1265589511
Step 1 took 6469ms
Step 2 took 3250ms
********** Factor found in step 2: 35141559953025652820255484814423448154877491851
Found prime factor of 47 digits: 35141559953025652820255484814423448154877491851
Composite cofactor 544094179409431791051743015524328728873677610303310794782298997629311876109120093962507585457230608554149409906075540321825537334106357909034506705893294385785480717 has 165 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 13, 2023 17:12:53 UTC 2023 年 3 月 14 日 (火) 2 時 12 分 53 秒 (日本時間)
2350Ignacio SantosOctober 28, 2023 16:19:45 UTC 2023 年 10 月 29 日 (日) 1 時 19 分 45 秒 (日本時間)
4511e64480Ignacio SantosOctober 29, 2023 08:52:12 UTC 2023 年 10 月 29 日 (日) 17 時 52 分 12 秒 (日本時間)

29×10243-53

c150

name 名前Bob Backstrom
date 日付June 9, 2024 00:58:10 UTC 2024 年 6 月 9 日 (日) 9 時 58 分 10 秒 (日本時間)
composite number 合成数
346635793555920444046630356223772506942738306713210578144968505013345664076479111922075769546840058141312667927154870954753520731254382462466306481201<150>
prime factors 素因数
110370765320851756798429181768417191529017748428901825706841<60>
3140648635970202903903044163827231639052482371111393929675481569818144991061393128017527961<91>
factorization results 素因数分解の結果
CADO:

STA:Sun Jun 2 08:30:03 PM AEST 2024 (346635793555920444046630356223772506942738306713210578144968505013345664076479111922075769546840058141312667927154870954753520731254382462466306481201 - C150)

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors --screenlog DEBUG 346635793555920444046630356223772506942738306713210578144968505013345664076479111922075769546840058141312667927154870954753520731254382462466306481201 2>&1 | tee -a log-30 

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py:93: DeprecationWarning: 'locale.getdefaultlocale' is deprecated and slated for removal in Python 3.15. Use setlocale(), getencoding() and getlocale() instead.
  loc = locale.getdefaultlocale()[1]
Debug:root: Looking for parameter file for c150 in directory /home/bob/Downloads/Math/cado-nfs/parameters/factor
Info:root: Using default parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c150
Debug:Parameters: Reading parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c150
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.ip17vdho
Info:Database: Opened connection to database /tmp/cado.ip17vdho/c150.db
Info:root: Set tasks.threads=18 based on --server-threads 18
Info:root: tasks.threads = 18 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 18 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Downloads/Math/cado-nfs/build/VM9
Info:root: Command line parameters: /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors --screenlog DEBUG 346635793555920444046630356223772506942738306713210578144968505013345664076479111922075769546840058141312667927154870954753520731254382462466306481201
Debug:root: Root parameter dictionary:
N = 346635793555920444046630356223772506942738306713210578144968505013345664076479111922075769546840058141312667927154870954753520731254382462466306481201
name = c15
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 346635793555920444046630356223772506942738306713210578144968505013345664076479111922075769546840058141312667927154870954753520731254382462466306481201
skew: 995278.624
c0: -22952834988384779098693421362098085
c1: -901880351834688908356756878987
c2: 326787672666093443094521
c3: 638236929223927263
c4: 622589930756
c5: 27300
Y0: 38073344207230040075538899106
Y1: 55082663701848306247741
# MurphyE (Bf=2.147e+09,Bg=2.147e+09,area=4.027e+14) = 6.195e-07
# f(x) = 27300*x^5+622589930756*x^4+638236929223927263*x^3+326787672666093443094521*x^2-901880351834688908356756878987*x-22952834988384779098693421362098085
# g(x) = 55082663701848306247741*x+38073344207230040075538899106
===
Debug:Command: Process with PID 597761 finished successfully
Info:Square Root: finished
Info:Square Root: Factors: 3140648635970202903903044163827231639052482371111393929675481569818144991061393128017527961 110370765320851756798429181768417191529017748428901825706841
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 3689.15/447.452
Info:HTTP server: Got notification to stop serving Workunits
Info:Generate Free Relations: Total cpu/real time for freerel: 877.59/107.738
Info:Generate Factor Base: Total cpu/real time for makefb: 10.37/1.84278
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 719.89/641.844
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 641.7s
Info:Filtering - Merging: Total cpu/real time for merge: 357/54.8033
Info:Filtering - Merging: Total cpu/real time for replay: 57.73/51.1019
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5958.63
Info:Polynomial Selection (root optimized): Rootsieve time: 5958.06
Info:Square Root: Total cpu/real time for sqrt: 3689.15/447.452
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 161982
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 113018/44.800/56.090/70.210/2.476
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 96046/43.180/48.683/61.690/1.420
Info:Polynomial Selection (size optimized): Total time: 78942.1
Info:Quadratic Characters: Total cpu/real time for characters: 94.74/25.6194 
Info:Filtering - Singleton removal: Total cpu/real time for purge: 931.4/770.114
Info:Linear Algebra: Total cpu/real time for bwc: 115946/14938.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 72180.58, WCT time 9214.99, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (100000 iterations)
Info:Linear Algebra: Lingen CPU time 129.93, WCT time 131.49
Info:Linear Algebra: Mksol: CPU time 37173.62,  WCT time 4793.35, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (48000 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 2078.46/1370.55
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1182.6s
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 163124126 
Info:Lattice Sieving: Average J: 7877.93 for 739231 special-q, max bucket fill -bkmult 1.0,1s:1.129400
Info:Lattice Sieving: Total time: 1.56634e+06s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.69869e+06/204303 [2d 08:45:03]
Info:root: Cleaning up computation data in /tmp/cado.ip17vdho
3140648635970202903903044163827231639052482371111393929675481569818144991061393128017527961 110370765320851756798429181768417191529017748428901825706841

END:Wed Jun 5 05:15:08 AM AEST 2024 (346635793555920444046630356223772506942738306713210578144968505013345664076479111922075769546840058141312667927154870954753520731254382462466306481201 - C150)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosFebruary 26, 2023 16:54:36 UTC 2023 年 2 月 27 日 (月) 1 時 54 分 36 秒 (日本時間)
4511e64480Ignacio SantosMarch 4, 2023 11:22:30 UTC 2023 年 3 月 4 日 (土) 20 時 22 分 30 秒 (日本時間)
5043e66454Ignacio SantosDecember 9, 2023 10:04:16 UTC 2023 年 12 月 9 日 (土) 19 時 4 分 16 秒 (日本時間)

29×10244-53

c235

composite cofactor 合成数の残り
5114772618741240703316865641211565859409855776826083618335099626139408052544338484736630783976714315448336043383700299180925718620321314426959779731273054808367451488021304513710317277053855598543100018915848934435482844578241581490431<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:12:59 UTC 2023 年 3 月 14 日 (火) 2 時 12 分 59 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 24, 2023 23:18:20 UTC 2023 年 3 月 25 日 (土) 8 時 18 分 20 秒 (日本時間)

29×10246-53

c218

composite cofactor 合成数の残り
78435844428634556618501576309012609820940342261437886458516432746331733169354138306879065178745762634893054912423484523297486456946882803336882915864937328605126765805704584931396872392859813400810149126858652817925303<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 13, 2023 17:13:02 UTC 2023 年 3 月 14 日 (火) 2 時 13 分 2 秒 (日本時間)
2350Ignacio SantosOctober 25, 2023 09:59:30 UTC 2023 年 10 月 25 日 (水) 18 時 59 分 30 秒 (日本時間)

29×10247-53

c210

composite cofactor 合成数の残り
851083092883885423408207311220653531892921041386330250814591472459991525176139703369003425505855069581183461086400968795309428650628730852657500004825624149193430454079160996048598550493325370840616194580549341<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 13, 2023 17:13:06 UTC 2023 年 3 月 14 日 (火) 2 時 13 分 6 秒 (日本時間)
2350Ignacio SantosOctober 25, 2023 10:11:04 UTC 2023 年 10 月 25 日 (水) 19 時 11 分 4 秒 (日本時間)

29×10249-53

c233

composite cofactor 合成数の残り
92979494880576494381859539664146820680213170160940653074351418342614075779099430344017368580025959197422502829706652408483458074937782672631118386596611652952142302722023369509666277218272321788167441705856862571352500458526497972153<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:13:09 UTC 2023 年 3 月 14 日 (火) 2 時 13 分 9 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 24, 2023 23:18:28 UTC 2023 年 3 月 25 日 (土) 8 時 18 分 28 秒 (日本時間)

29×10251-53

c230

name 名前Dmitry Domanov
date 日付March 28, 2023 21:26:44 UTC 2023 年 3 月 29 日 (水) 6 時 26 分 44 秒 (日本時間)
composite number 合成数
82949443831053261212256134829396387770639690505633325039818481860819603148929490639620807983350484079822709185026402988286615634790025942280306187788404902608211115951450708331289910745530115114143605692756542102227528429203845141<230>
prime factors 素因数
198733327629655565787628543364451510253849867<45>
composite cofactor 合成数の残り
417390705526913864674593452830172860580165599772604611587695448297280274138487709850133657565029252883057709958783981752251418300687916444686293429284467671270415654465943462939359734623<186>
factorization results 素因数分解の結果
Resuming ECM residue saved by @3263f46be529 with GMP-ECM 7.0.5-dev on Sat Mar 25 11:22:34 2023 
Input number is 82949443831053261212256134829396387770639690505633325039818481860819603148929490639620807983350484079822709185026402988286615634790025942280306187788404902608211115951450708331289910745530115114143605692756542102227528429203845141 (230 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:355398819
Step 1 took 0ms
Step 2 took 19167ms
********** Factor found in step 2: 198733327629655565787628543364451510253849867
Found prime factor of 45 digits: 198733327629655565787628543364451510253849867
Composite cofactor 417390705526913864674593452830172860580165599772604611587695448297280274138487709850133657565029252883057709958783981752251418300687916444686293429284467671270415654465943462939359734623 has 186 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:13:13 UTC 2023 年 3 月 14 日 (火) 2 時 13 分 13 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMarch 24, 2023 23:18:37 UTC 2023 年 3 月 25 日 (土) 8 時 18 分 37 秒 (日本時間)
1792Dmitry DomanovMarch 26, 2023 22:38:54 UTC 2023 年 3 月 27 日 (月) 7 時 38 分 54 秒 (日本時間)

29×10252-53

c251

composite cofactor 合成数の残り
19931271477663230240549828178694158075601374570446735395189003436426116838487972508591065292096219931271477663230240549828178694158075601374570446735395189003436426116838487972508591065292096219931271477663230240549828178694158075601374570446735395189<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:13:18 UTC 2023 年 3 月 14 日 (火) 2 時 13 分 18 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 16, 2023 21:07:48 UTC 2023 年 3 月 17 日 (金) 6 時 7 分 48 秒 (日本時間)

29×10254-53

c218

composite cofactor 合成数の残り
30583906487916411570777972897194476435222664007271608378155180871844628085203622242855336551928954824871668319194350327617943390654474910655590523166426051908320944917805882106152099323971487309861018140840080702513737<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 13, 2023 17:13:56 UTC 2023 年 3 月 14 日 (火) 2 時 13 分 56 秒 (日本時間)
2350Ignacio SantosOctober 25, 2023 10:23:42 UTC 2023 年 10 月 25 日 (水) 19 時 23 分 42 秒 (日本時間)

29×10256-53

c238

composite cofactor 合成数の残り
3467505770336583502808065996990924108668511469142737100381498306431744438849689931576849068798005700709575605292223548905517183965268722923969673063538150889778560924319659875158752279459028448950750028477810589322506412930836247805278001<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:14:00 UTC 2023 年 3 月 14 日 (火) 2 時 14 分 0 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 24, 2023 23:18:45 UTC 2023 年 3 月 25 日 (土) 8 時 18 分 45 秒 (日本時間)

29×10257-53

c257

composite cofactor 合成数の残り
27619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:14:03 UTC 2023 年 3 月 14 日 (火) 2 時 14 分 3 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 16, 2023 21:07:57 UTC 2023 年 3 月 17 日 (金) 6 時 7 分 57 秒 (日本時間)

29×10258-53

c254

composite cofactor 合成数の残り
88689083597106900928177133507653256265577931709405630227686285303607199106992675504992583757664724681560316222456687615639861155710506598161995198556508708350535957306910102909919415263697111488294570087312873679220759362050246953224154013181032769087267<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:14:06 UTC 2023 年 3 月 14 日 (火) 2 時 14 分 6 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 16, 2023 21:08:05 UTC 2023 年 3 月 17 日 (金) 6 時 8 分 5 秒 (日本時間)

29×10260-53

c207

name 名前Dmitry Domanov
date 日付March 11, 2023 10:21:31 UTC 2023 年 3 月 11 日 (土) 19 時 21 分 31 秒 (日本時間)
composite number 合成数
548148339093523010369446258469489194947591074591653542011579985027271066890634534370473481971781818301915625912752730595689889529179843908984155240978164125204377862810884552058096197921009488857364299709717<207>
prime factors 素因数
5477690120162057157240264749426393<34>
composite cofactor 合成数の残り
100069249458986568644185369490612321858162318873218122048439200468649890189079253808009884540783148664250689471102632243911807301225667897774589530138482492087464770620570269<174>
factorization results 素因数分解の結果
GPU: factor 5477690120162057157240264749426393 found in Step 1 with curve 1430 (-sigma 3:-1379870761)
Computing 1792 Step 1 took 232ms of CPU time / 175361ms of GPU time
Throughput: 10.219 curves per second (on average 97.86ms per Step 1)
********** Factor found in step 1: 5477690120162057157240264749426393
Found prime factor of 34 digits: 5477690120162057157240264749426393
Composite cofactor 100069249458986568644185369490612321858162318873218122048439200468649890189079253808009884540783148664250689471102632243911807301225667897774589530138482492087464770620570269 has 174 digits
Peak memory usage: 9428MB

c174

name 名前Bob Backstrom
date 日付July 6, 2024 18:20:51 UTC 2024 年 7 月 7 日 (日) 3 時 20 分 51 秒 (日本時間)
composite number 合成数
100069249458986568644185369490612321858162318873218122048439200468649890189079253808009884540783148664250689471102632243911807301225667897774589530138482492087464770620570269<174>
prime factors 素因数
323132541685641781200553608541121534612308448888583179<54>
2183760840383764943402243476751059382006664361898667497<55>
141812617131321341915272580309197064923360097594053735877123127263<66>
factorization results 素因数分解の結果
ECM:

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 100069249458986568644185369490612321858162318873218122048439200468649890189079253808009884540783148664250689471102632243911807301225667897774589530138482492087464770620570269 (174 digits)
Using B1=105450000, B2=776273012980, polynomial Dickson(30), sigma=1:2700631036
Step 1 took 335396ms
Step 2 took 127143ms
********** Factor found in step 2: 2183760840383764943402243476751059382006664361898667497
Found prime factor of 55 digits: 2183760840383764943402243476751059382006664361898667497
Composite cofactor 45824271416736651307243143439381822260088618764719728831956779109898340948470121262109800960829482323834439621778109077 has 119 digits
===

CADO:

STA:Sat Jul 6 10:17:33 PM AEST 2024 (45824271416736651307243143439381822260088618764719728831956779109898340948470121262109800960829482323834439621778109077 - C119)

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors 45824271416736651307243143439381822260088618764719728831956779109898340948470121262109800960829482323834439621778109077 2>&1 | tee -a log-50 

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py:93: DeprecationWarning: 'locale.getdefaultlocale' is deprecated and slated for removal in Python 3.15. Use setlocale(), getencoding() and getlocale() instead.
  loc = locale.getdefaultlocale()[1]
Info:root: Using default parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c120
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.3xwk8kap
Info:Database: Opened connection to database /tmp/cado.3xwk8kap/c120.db
Info:root: Set tasks.threads=18 based on --server-threads 18
Info:root: tasks.threads = 18 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 18 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Downloads/Math/cado-nfs/build/VM9
Info:root: Command line parameters: /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors 45824271416736651307243143439381822260088618764719728831956779109898340948470121262109800960829482323834439621778109077
Info:root: If this computation gets interrupted, it can be resumed with /home/bob/Downloads/Math/cado-nfs/cado-nfs.py /tmp/cado.3xwk8kap/c120.parameters_snapshot.0
Info:Server Launcher: Adding VM9 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,VM9
Info:Lattice Sieving: param rels_wanted is 15000000
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 45824271416736651307243143439381822260088618764719728831956779109898340948470121262109800960829482323834439621778109077
skew: 51899.479
c0: -1131528821826245403189209592
c1: -279259833316250567086838
c2: 1330603637003581331
c3: -252153239282735
c4: -99344946
c5: 24480
Y0: -102743141069063553459633 
Y1: 120986064123680107
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=5.033e+12) = 3.653e-06
# f(x) = 24480*x^5-99344946*x^4-252153239282735*x^3+1330603637003581331*x^2-279259833316250567086838*x-1131528821826245403189209592
# g(x) = 120986064123680107*x-102743141069063553459633
Info:Polynomial Selection (root optimized): Best overall polynomial was 12-th in list after size optimization
===
Info:Square Root: finished
Info:Square Root: Factors: 323132541685641781200553608541121534612308448888583179 141812617131321341915272580309197064923360097594053735877123127263
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 468.14/58.0846
Info:HTTP server: Got notification to stop serving Workunits
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 16161826
Info:Lattice Sieving: Average J: 1899.61 for 223330 special-q, max bucket fill -bkmult 1.0,1s:1.305070
Info:Lattice Sieving: Total time: 34659.7s
Info:Generate Free Relations: Total cpu/real time for freerel: 106.93/12.8526
Info:Generate Factor Base: Total cpu/real time for makefb: 0.9/0.176205
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 59.91/61.5139
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 60.6s
Info:Square Root: Total cpu/real time for sqrt: 468.14/58.0846
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 229.57
Info:Polynomial Selection (root optimized): Rootsieve time: 229.22
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 211/239.745
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: 
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 172.29999999999998s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 20195.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 14184/35.310/43.263/53.630/2.099
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11584/33.700/37.961/47.410/1.530
Info:Polynomial Selection (size optimized): Total time: 1099.69
Info:Filtering - Merging: Total cpu/real time for merge: 31.47/6.23219
Info:Filtering - Merging: Total cpu/real time for replay: 9.19/7.95924
Info:Linear Algebra: Total cpu/real time for bwc: 2797.39/462.66
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1542.04, WCT time 246.66, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (20000 iterations)
Info:Linear Algebra: Lingen CPU time 20.74, WCT time 21.01 
Info:Linear Algebra: Mksol: CPU time 906.28,  WCT time 145.81, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10000 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 110.61/138.419
Info:Quadratic Characters: Total cpu/real time for characters: 16.89/4.27883
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 37910.1/4791.33 [01:19:51]
Info:root: Cleaning up computation data in /tmp/cado.3xwk8kap
323132541685641781200553608541121534612308448888583179 141812617131321341915272580309197064923360097594053735877123127263

END:Sat Jul 6 11:37:26 PM AEST 2024 (45824271416736651307243143439381822260088618764719728831956779109898340948470121262109800960829482323834439621778109077 - C119)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 11, 2023 10:21:18 UTC 2023 年 3 月 11 日 (土) 19 時 21 分 18 秒 (日本時間)
2350Ignacio SantosMarch 12, 2023 17:18:50 UTC 2023 年 3 月 13 日 (月) 2 時 18 分 50 秒 (日本時間)
4511e64480Ignacio SantosMarch 15, 2023 10:30:17 UTC 2023 年 3 月 15 日 (水) 19 時 30 分 17 秒 (日本時間)
5043e61792 / 6385Dmitry DomanovMay 24, 2024 18:47:25 UTC 2024 年 5 月 25 日 (土) 3 時 47 分 25 秒 (日本時間)

29×10261-53

c217

composite cofactor 合成数の残り
1455129937250833466093313459929303116212012346510277717455386539154730890753995362274156426490837865211402517393161019284245764378225553072904973576165143882352135379320529839235718953116317833307616045828103696421021<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 13, 2023 17:14:13 UTC 2023 年 3 月 14 日 (火) 2 時 14 分 13 秒 (日本時間)
2350Ignacio SantosOctober 25, 2023 10:36:21 UTC 2023 年 10 月 25 日 (水) 19 時 36 分 21 秒 (日本時間)

29×10262-53

c158

name 名前Ignacio Santos
date 日付March 1, 2023 09:21:43 UTC 2023 年 3 月 1 日 (水) 18 時 21 分 43 秒 (日本時間)
composite number 合成数
72705025814659177169832743166930581038367337741276025455470586147042852312638964410844531471527726654483954118172284758742618475338101173243117793389314861347<158>
prime factors 素因数
3758171780234467088946967743232582592846017<43>
19345849542333376827292287340577111897127983816703519220560934737017410261684540662243603081156066978211322251851491<116>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1699822001
Step 1 took 6422ms
Step 2 took 3062ms
********** Factor found in step 2: 3758171780234467088946967743232582592846017
Found prime factor of 43 digits: 3758171780234467088946967743232582592846017
Prime cofactor 19345849542333376827292287340577111897127983816703519220560934737017410261684540662243603081156066978211322251851491 has 116 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

29×10263-53

c241

composite cofactor 合成数の残り
1039544397521080713411124834605998455726567563653317913206629023538151144731651637476241630124206734892797648658317405877559209822619034317105045430648384824377513566953294373024955789898534159139245409181750517870427560354476491568535377811<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:14:15 UTC 2023 年 3 月 14 日 (火) 2 時 14 分 15 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 24, 2023 23:18:53 UTC 2023 年 3 月 25 日 (土) 8 時 18 分 53 秒 (日本時間)

29×10265-53

c240

composite cofactor 合成数の残り
442995661223890426017741109319244261082664108967804240709744603880729657740769499474776567940999354848536962800184682477561978096079455701452383613146705625009858796480682963326458485122271179174523876998073256283951018664673018697805918873<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:14:19 UTC 2023 年 3 月 14 日 (火) 2 時 14 分 19 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 24, 2023 23:19:02 UTC 2023 年 3 月 25 日 (土) 8 時 19 分 2 秒 (日本時間)

29×10266-53

c238

composite cofactor 合成数の残り
9069341242058909446156364290854419470040410197445866805020241862764138215081883871284526220553979062838888858348369684431343064419186268038366420269841509418356511379897597375892382524744801636754520728616396359833744288225244161261860971<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:14:22 UTC 2023 年 3 月 14 日 (火) 2 時 14 分 22 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 24, 2023 23:19:11 UTC 2023 年 3 月 25 日 (土) 8 時 19 分 11 秒 (日本時間)

29×10269-53

c210

composite cofactor 合成数の残り
639126204415456075936929444903892939771412849223877449865223842072673074661944502789551621098953629156220416864433479755369121798840688384399052852440464348356533917589232635861939130434952453814033244349123617<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 13, 2023 17:14:26 UTC 2023 年 3 月 14 日 (火) 2 時 14 分 26 秒 (日本時間)
2350Ignacio SantosOctober 25, 2023 14:05:28 UTC 2023 年 10 月 25 日 (水) 23 時 5 分 28 秒 (日本時間)

29×10270-53

c217

name 名前Dmitry Domanov
date 日付March 15, 2023 05:46:15 UTC 2023 年 3 月 15 日 (水) 14 時 46 分 15 秒 (日本時間)
composite number 合成数
5990841374720382059111225441671955203019966304104697698903164893247586839071314806154287957015666710890264340899521930536432538800186221409816113460881992649188285899190909249291409665274178491910969194016678629673197<217>
prime factors 素因数
522024027518550972427210611100572413<36>
11476179368980267430444184354513129464014819358927128788524094162106414540539961564036799060469543850145481503823779892608451198009360816509506192356525555184197962341414084692385969<182>
factorization results 素因数分解の結果
Resuming ECM residue saved by @79a3fb28deef with GMP-ECM 7.0.5-dev on Mon Mar 13 13:20:00 2023 
Input number is 5990841374720382059111225441671955203019966304104697698903164893247586839071314806154287957015666710890264340899521930536432538800186221409816113460881992649188285899190909249291409665274178491910969194016678629673197 (217 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:550543121
Step 1 took 0ms
Step 2 took 3687ms
********** Factor found in step 2: 522024027518550972427210611100572413
Found prime factor of 36 digits: 522024027518550972427210611100572413
Prime cofactor 11476179368980267430444184354513129464014819358927128788524094162106414540539961564036799060469543850145481503823779892608451198009360816509506192356525555184197962341414084692385969 has 182 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 13, 2023 17:14:30 UTC 2023 年 3 月 14 日 (火) 2 時 14 分 30 秒 (日本時間)

29×10271-53

c269

composite cofactor 合成数の残り
53554939981532779316712834718374884579870729455216989843028624192059095106186518928901200369344413665743305632502308402585410895660203139427516158818097876269621421975992613111726685133887349953831948291782086795937211449676823638042474607571560480147737765466297322253<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:14:34 UTC 2023 年 3 月 14 日 (火) 2 時 14 分 34 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 16, 2023 21:08:14 UTC 2023 年 3 月 17 日 (金) 6 時 8 分 14 秒 (日本時間)

29×10272-53

c251

composite cofactor 合成数の残り
14724692416750593099078103150094087852449745406312874208086193887907922464876340169184865787916235670973053360081790467414495708093695649720246589779495231069214284924170689003099832503722615493868075536162284798546653946502603301144268514027614032271<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:14:38 UTC 2023 年 3 月 14 日 (火) 2 時 14 分 38 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 16, 2023 21:08:23 UTC 2023 年 3 月 17 日 (金) 6 時 8 分 23 秒 (日本時間)

29×10273-53

c266

composite cofactor 合成数の残り
25656504952256185934850074244838266192316817210411832599603738819840672484951541961919403301179141560504804474717409854443260101838542048403942666965467631583046123136882669268448598521600523378545712949086209736080070979340245363861813940468158757869861952565218537<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:14:42 UTC 2023 年 3 月 14 日 (火) 2 時 14 分 42 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovMarch 16, 2023 21:08:30 UTC 2023 年 3 月 17 日 (金) 6 時 8 分 30 秒 (日本時間)
1792Dmitry DomanovMarch 24, 2023 05:46:02 UTC 2023 年 3 月 24 日 (金) 14 時 46 分 2 秒 (日本時間)

29×10275-53

c264

composite cofactor 合成数の残り
949012353283211382454285705232496405595418619644483731684461641473060295851293304396933987373573376804181824745065346254276316076351313116832114131551625795834478043303385238140984859395627520133657343717944617888735444718260131154780176551204904822494437601618387<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:14:45 UTC 2023 年 3 月 14 日 (火) 2 時 14 分 45 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 16, 2023 21:08:37 UTC 2023 年 3 月 17 日 (金) 6 時 8 分 37 秒 (日本時間)

29×10279-53

c216

composite cofactor 合成数の残り
164710162160606758293508341721615755838396261153622228190307116869964459773640429215959051717543329730063382773649306224521544109662702017503225462012528334356670177922528682592161448082486879195490902599052533868661<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 13, 2023 17:14:49 UTC 2023 年 3 月 14 日 (火) 2 時 14 分 49 秒 (日本時間)
2350Ignacio SantosOctober 25, 2023 14:21:30 UTC 2023 年 10 月 25 日 (水) 23 時 21 分 30 秒 (日本時間)

29×10281-53

c254

composite cofactor 合成数の残り
13112493355675769081882666167708007636262010534070418183116057778169919460466272986278931671409478058602109900628272013891449782620277574616717324394091850021223403929363571560350763768307287788435627032778615140980179979874676660843711559971510034028567<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:15:31 UTC 2023 年 3 月 14 日 (火) 2 時 15 分 31 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 16, 2023 21:08:44 UTC 2023 年 3 月 17 日 (金) 6 時 8 分 44 秒 (日本時間)

29×10282-53

c258

composite cofactor 合成数の残り
672411788193070896306956653408766757593722698937284523101490763882530438709523124839576916790127808808545646578686248249540932872394079790345188006570107663123564081590131568448019245633190264676483557318873176846404603610832830867879488834456668347901343211<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:15:34 UTC 2023 年 3 月 14 日 (火) 2 時 15 分 34 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 16, 2023 21:08:51 UTC 2023 年 3 月 17 日 (金) 6 時 8 分 51 秒 (日本時間)

29×10283-53

c246

composite cofactor 合成数の残り
451552374799194463544173781422802068797080735987390455418714971310466714086917806640264066776698018207441347142699239443927671141176435828882767902570677434683195528163028865160630277337903157889464275279722443969778649049674546504810255868563789<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:15:38 UTC 2023 年 3 月 14 日 (火) 2 時 15 分 38 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 24, 2023 23:19:19 UTC 2023 年 3 月 25 日 (土) 8 時 19 分 19 秒 (日本時間)

29×10284-53

c266

name 名前Dmitry Domanov
date 日付March 15, 2023 05:45:35 UTC 2023 年 3 月 15 日 (水) 14 時 45 分 35 秒 (日本時間)
composite number 合成数
38665509191854350591004671697809343019591574996686556499123660196231988252635649032668152832305595740899649070468470557783486003792221921405979507729704931237604380344823745568975320889961714834142795320424961945983224829388339051683757486177530010791899292547767541<266>
prime factors 素因数
9651638955774823007949840639079081<34>
composite cofactor 合成数の残り
4006108119980988850334458126967627236969014514796689225796580095674980748016256152224382885134799136979301329350441473146947655357645034702586319185458647100713666238358345354253204929565064926236438012829965301086561985727819895661<232>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f59cb39d33d3 with GMP-ECM 7.0.5-dev on Sat Mar 11 09:32:01 2023 
Input number is 38665509191854350591004671697809343019591574996686556499123660196231988252635649032668152832305595740899649070468470557783486003792221921405979507729704931237604380344823745568975320889961714834142795320424961945983224829388339051683757486177530010791899292547767541 (266 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3496201186
Step 1 took 0ms
Step 2 took 4621ms
********** Factor found in step 2: 9651638955774823007949840639079081
Found prime factor of 34 digits: 9651638955774823007949840639079081
Composite cofactor 4006108119980988850334458126967627236969014514796689225796580095674980748016256152224382885134799136979301329350441473146947655357645034702586319185458647100713666238358345354253204929565064926236438012829965301086561985727819895661 has 232 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:15:41 UTC 2023 年 3 月 14 日 (火) 2 時 15 分 41 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 24, 2023 23:19:28 UTC 2023 年 3 月 25 日 (土) 8 時 19 分 28 秒 (日本時間)

29×10285-53

c279

name 名前Dmitry Domanov
date 日付March 22, 2023 06:15:37 UTC 2023 年 3 月 22 日 (水) 15 時 15 分 37 秒 (日本時間)
composite number 合成数
136367741289140216203530076481377468423638050107762256385789794816629237248434727568876113269208989276863733805654761128036777345311781681453279483122999023818577485549545421661164580980842848098585788934289158343708449719085979696301046178043650984823140326661400520684952593283<279>
prime factors 素因数
1663584705037872500838122458585195408638587<43>
composite cofactor 合成数の残り
81972225926443416662951397268729991005217531060034075821657166334409968647524293719910484201537661935133392707527964097602728436246908012691718228132204779057533842441715211006712527113653901912399922456619195206071172377091080446458009<236>
factorization results 素因数分解の結果
Resuming ECM residue saved by @77bd1e898d36 with GMP-ECM 7.0.5-dev on Sat Mar 18 08:53:47 2023 
Input number is 136367741289140216203530076481377468423638050107762256385789794816629237248434727568876113269208989276863733805654761128036777345311781681453279483122999023818577485549545421661164580980842848098585788934289158343708449719085979696301046178043650984823140326661400520684952593283 (279 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1937370887
Step 1 took 0ms
Step 2 took 25367ms
********** Factor found in step 2: 1663584705037872500838122458585195408638587
Found prime factor of 43 digits: 1663584705037872500838122458585195408638587
Composite cofactor 81972225926443416662951397268729991005217531060034075821657166334409968647524293719910484201537661935133392707527964097602728436246908012691718228132204779057533842441715211006712527113653901912399922456619195206071172377091080446458009 has 236 digits

c236

name 名前Seth Troisi
date 日付November 17, 2023 22:28:42 UTC 2023 年 11 月 18 日 (土) 7 時 28 分 42 秒 (日本時間)
composite number 合成数
81972225926443416662951397268729991005217531060034075821657166334409968647524293719910484201537661935133392707527964097602728436246908012691718228132204779057533842441715211006712527113653901912399922456619195206071172377091080446458009<236>
prime factors 素因数
4310580243065630730568188564480974671872047369<46>
19016517801358871190554299492143091870249172425309829442562471961020543624247698524031478345594267824421187421991631622837802663700435555722074471805066599366675718788933330119050682175436561<191>
factorization results 素因数分解の結果
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Thu Nov 16 13:19:04 2023 
Input number is 81972225926443416662951397268729991005217531060034075821657166334409968647524293719910484201537661935133392707527964097602728436246908012691718228132204779057533842441715211006712527113653901912399922456619195206071172377091080446458009 (236 digits)
Using mpz_mod
Using lmax = 8388608 with NTT which takes about 2784MB of memory
Using B1=4000000000-4000000000, B2=205705378426380, polynomial x^1
P = 24249225, l = 8388608, s_1 = 4147200, k = s_2 = 2, m_1 = 79
Probability of finding a factor of n digits (assuming one exists):
20   25      30      35      40      45      50      55      60      65
0.71    0.43    0.21    0.087   0.032   0.01    0.003   0.00079 0.00019 4.5e-05
Step 1 took 0ms
Computing F from factored S_1 took 29028ms
Computing h took 4059ms
Computing DCT-I of h took 8535ms
Multi-point evaluation 1 of 2:
Computing g_i took 13655ms
Computing g*h took 16562ms
Computing gcd of coefficients and N took 3848ms
Multi-point evaluation 2 of 2:
Computing g_i took 13627ms
Computing g*h took 16641ms
Computing gcd of coefficients and N took 3934ms
Step 2 took 110289ms
********** Factor found in step 2: 4310580243065630730568188564480974671872047369
Found prime factor of 46 digits: 4310580243065630730568188564480974671872047369
Prime cofactor 19016517801358871190554299492143091870249172425309829442562471961020543624247698524031478345594267824421187421991631622837802663700435555722074471805066599366675718788933330119050682175436561 has 191 digits
execution environment 実行環境
1080 ti for stage 1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:15:45 UTC 2023 年 3 月 14 日 (火) 2 時 15 分 45 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 17, 2023 23:05:17 UTC 2023 年 3 月 18 日 (土) 8 時 5 分 17 秒 (日本時間)

29×10286-53

c272

composite cofactor 合成数の残り
43383907370176514680912675589540693059675996506109147081615111998367932091472411188544584285790297555019762096469638071167461453598902388590061119271558068715804719364746252643616362139060219123732009551227195096887232582994214257860402755212649038135376727805581261524273<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:16:00 UTC 2023 年 3 月 14 日 (火) 2 時 16 分 0 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 17, 2023 23:05:25 UTC 2023 年 3 月 18 日 (土) 8 時 5 分 25 秒 (日本時間)

29×10287-53

c200

composite cofactor 合成数の残り
33676205814940196030211420196459273650717273901419426910619321410513181139337460323376310473560655604811075493721051351627629584065920805893381215784729848539419115673163407864550915279070457577591863<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMarch 13, 2023 17:16:05 UTC 2023 年 3 月 14 日 (火) 2 時 16 分 5 秒 (日本時間)
2350Ignacio SantosOctober 25, 2023 14:22:13 UTC 2023 年 10 月 25 日 (水) 23 時 22 分 13 秒 (日本時間)

29×10288-53

c289

name 名前Dmitry Domanov
date 日付March 22, 2023 06:15:19 UTC 2023 年 3 月 22 日 (水) 15 時 15 分 19 秒 (日本時間)
composite number 合成数
1933333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<289>
prime factors 素因数
666299049944214363754872413773496647651183<42>
composite cofactor 合成数の残り
2901600015031089923211978843962424461460840063610324938594717269229938244438210761321285943935479068977770316415021186976316318449799029963069578244341727316932641767698519179897123113671798810537265009770993321221364185638278680106961368833181051<247>
factorization results 素因数分解の結果
Resuming ECM residue saved by @77bd1e898d36 with GMP-ECM 7.0.5-dev on Sat Mar 18 07:15:58 2023 
Input number is 1933333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 (289 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1741496578
Step 1 took 0ms
Step 2 took 25482ms
********** Factor found in step 2: 666299049944214363754872413773496647651183
Found prime factor of 42 digits: 666299049944214363754872413773496647651183
Composite cofactor 2901600015031089923211978843962424461460840063610324938594717269229938244438210761321285943935479068977770316415021186976316318449799029963069578244341727316932641767698519179897123113671798810537265009770993321221364185638278680106961368833181051 has 247 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:16:09 UTC 2023 年 3 月 14 日 (火) 2 時 16 分 9 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 17, 2023 23:05:35 UTC 2023 年 3 月 18 日 (土) 8 時 5 分 35 秒 (日本時間)

29×10289-53

c287

name 名前Dmitry Domanov
date 日付March 15, 2023 05:45:54 UTC 2023 年 3 月 15 日 (水) 14 時 45 分 54 秒 (日本時間)
composite number 合成数
16681046879493816508484325568018406672418751797526603393730227207362668967500719010641357492090882945067587000287604256542996836353178027034800115041702617198734541271210813920046016681046879493816508484325568018406672418751797526603393730227207362668967500719010641357492090882945067587<287>
prime factors 素因数
1678690803746207478957001919201373302924353<43>
composite cofactor 合成数の残り
9936938263001134020449434517335106695637123230309048642043808338141935415356942383752429604585808822225305530867476112747530709783226355004809760426388929008879671243062033543402438693886195208331510756221171195938239802951727558554758108142979<244>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f59cb39d33d3 with GMP-ECM 7.0.5-dev on Sat Mar 11 10:07:38 2023 
Input number is 16681046879493816508484325568018406672418751797526603393730227207362668967500719010641357492090882945067587000287604256542996836353178027034800115041702617198734541271210813920046016681046879493816508484325568018406672418751797526603393730227207362668967500719010641357492090882945067587 (287 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1727790662
Step 1 took 0ms
Step 2 took 5637ms
********** Factor found in step 2: 1678690803746207478957001919201373302924353
Found prime factor of 43 digits: 1678690803746207478957001919201373302924353
Composite cofactor 9936938263001134020449434517335106695637123230309048642043808338141935415356942383752429604585808822225305530867476112747530709783226355004809760426388929008879671243062033543402438693886195208331510756221171195938239802951727558554758108142979 has 244 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:16:12 UTC 2023 年 3 月 14 日 (火) 2 時 16 分 12 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 24, 2023 23:19:45 UTC 2023 年 3 月 25 日 (土) 8 時 19 分 45 秒 (日本時間)

29×10291-53

c276

name 名前Dmitry Domanov
date 日付March 21, 2023 11:18:52 UTC 2023 年 3 月 21 日 (火) 20 時 18 分 52 秒 (日本時間)
composite number 合成数
323432581000475944559962039295805498914777212770642068516178402457860603604601931401791712154117300155652402359055217823381042634543029717750502465687327703406433962521281051786669445719445655717429125924533977473959516541874207143641782343595057121497010997060073053193231069<276>
prime factors 素因数
211976072084967693933384909307317547787<39>
composite cofactor 合成数の残り
1525797595073997038200707374045465722514975070254949061663065943022968070768221915139425939692301322738603203602566583348967318160678911263441045470009990394198430482843680012014538192593721645721089492068330025864922620187903828392712887<238>
factorization results 素因数分解の結果
Resuming ECM residue saved by @77bd1e898d36 with GMP-ECM 7.0.5-dev on Sat Mar 18 05:21:46 2023 
Input number is 323432581000475944559962039295805498914777212770642068516178402457860603604601931401791712154117300155652402359055217823381042634543029717750502465687327703406433962521281051786669445719445655717429125924533977473959516541874207143641782343595057121497010997060073053193231069 (276 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3256717678
Step 1 took 0ms
Step 2 took 24915ms
********** Factor found in step 2: 211976072084967693933384909307317547787
Found prime factor of 39 digits: 211976072084967693933384909307317547787
Composite cofactor 1525797595073997038200707374045465722514975070254949061663065943022968070768221915139425939692301322738603203602566583348967318160678911263441045470009990394198430482843680012014538192593721645721089492068330025864922620187903828392712887 has 238 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:16:17 UTC 2023 年 3 月 14 日 (火) 2 時 16 分 17 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 17, 2023 23:05:42 UTC 2023 年 3 月 18 日 (土) 8 時 5 分 42 秒 (日本時間)

29×10292-53

c269

name 名前Dmitry Domanov
date 日付March 22, 2023 14:17:14 UTC 2023 年 3 月 22 日 (水) 23 時 17 分 14 秒 (日本時間)
composite number 合成数
21103633188582433688366793561209565400706202003364965925970235461237742315605050654346852693696790244449722855745037181993334959858349599278720087768726356838877037407618760216666271117010879699903901218015662361624201862139747879142931450033924619781044937344322270339<269>
prime factors 素因数
44676121441257353818351963009762736593841<41>
472369411394197745856911381935200282535717304704014632113669292788172842799401821657146047927805409455140060111300762868904146759870079275439193164640031115907934389646404479337262128365399839866968377476476890428364833140900979<228>
factorization results 素因数分解の結果
Resuming ECM residue saved by @b90e1d2e8033 with GMP-ECM 7.0.5-dev on Fri Mar 17 04:49:40 2023 
Input number is 21103633188582433688366793561209565400706202003364965925970235461237742315605050654346852693696790244449722855745037181993334959858349599278720087768726356838877037407618760216666271117010879699903901218015662361624201862139747879142931450033924619781044937344322270339 (269 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:47524549
Step 1 took 0ms
Step 2 took 16510ms
********** Factor found in step 2: 44676121441257353818351963009762736593841
Found prime factor of 41 digits: 44676121441257353818351963009762736593841
Prime cofactor 472369411394197745856911381935200282535717304704014632113669292788172842799401821657146047927805409455140060111300762868904146759870079275439193164640031115907934389646404479337262128365399839866968377476476890428364833140900979 has 228 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:16:21 UTC 2023 年 3 月 14 日 (火) 2 時 16 分 21 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 16, 2023 21:08:59 UTC 2023 年 3 月 17 日 (金) 6 時 8 分 59 秒 (日本時間)

29×10293-53

c254

composite cofactor 合成数の残り
16105484968836988909269893205983679841593119592245303546329910869716934191540473733531432089059187679863379929445956604167776628688838107125002775952471944115286865834792596247897917819763122882208735511093807110613594360076566366891227749128622744541411<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:16:24 UTC 2023 年 3 月 14 日 (火) 2 時 16 分 24 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 16, 2023 21:09:07 UTC 2023 年 3 月 17 日 (金) 6 時 9 分 7 秒 (日本時間)

29×10294-53

c245

composite cofactor 合成数の残り
78993572048509411011676870662347403931813728625866183606588076723290513111054400591344215039618266185442803536196221499363452983092488748951512513865830236654674748961475949540770935884067658554929812673293827960823899374722153366827925570220181<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:16:27 UTC 2023 年 3 月 14 日 (火) 2 時 16 分 27 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 24, 2023 23:19:58 UTC 2023 年 3 月 25 日 (土) 8 時 19 分 58 秒 (日本時間)

29×10295-53

c245

composite cofactor 合成数の残り
26014339091921770521862204144572563414558692955979275660689908163793463871224999377611599543034643899035740926025599991924443562140895911591384770185379161120143387637042451086240904823084393451367418268877712921111717656810132673153684170415163<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:16:31 UTC 2023 年 3 月 14 日 (火) 2 時 16 分 31 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 24, 2023 23:20:07 UTC 2023 年 3 月 25 日 (土) 8 時 20 分 7 秒 (日本時間)

29×10296-53

c269

composite cofactor 合成数の残り
59760669758324941345348638174862430982389101264669181145363027846728683660896433949565218890320333453401264522862145357127082384967017976908755617782564228248340420364890541963939739376207026846653636873955067801689388657390442703682129857965706816070982632364359571831<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:16:34 UTC 2023 年 3 月 14 日 (火) 2 時 16 分 34 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 16, 2023 21:09:17 UTC 2023 年 3 月 17 日 (金) 6 時 9 分 17 秒 (日本時間)

29×10297-53

c251

composite cofactor 合成数の残り
19758978283932316745930773930507880204508439921522505481493591456803502586431271430001124661352235185564050283869874396845130117268454602917837308407277879695536268844948237811616387815993302462465096999921444232054271421835819452479361409376091188707<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:16:39 UTC 2023 年 3 月 14 日 (火) 2 時 16 分 39 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 16, 2023 21:09:24 UTC 2023 年 3 月 17 日 (金) 6 時 9 分 24 秒 (日本時間)

29×10298-53

c239

name 名前Dmitry Domanov
date 日付March 13, 2023 16:59:11 UTC 2023 年 3 月 14 日 (火) 1 時 59 分 11 秒 (日本時間)
composite number 合成数
32746236582108786222299369730762811161924596198078866120176921768271117364584045546152974263856784647762849081673169490849035548658151840561661583008332282542844879107492718935628008886732080559590168215866042826275596971226591745808590593<239>
prime factors 素因数
2397074634439892104449827199792800191<37>
composite cofactor 合成数の残り
13660916565395292104048074979631057538759020322430883784681697287429849810830488690698743121939015890079144088980074549420327301818462254504520443736360692906760142980262950258711350145285972214416828223<203>
factorization results 素因数分解の結果
GPU: factor 2397074634439892104449827199792800191 found in Step 1 with curve 724 (-sigma 3:901350712)
Computing 1792 Step 1 took 361ms of CPU time / 267942ms of GPU time
Throughput: 6.688 curves per second (on average 149.52ms per Step 1)
********** Factor found in step 1: 2397074634439892104449827199792800191
Found prime factor of 37 digits: 2397074634439892104449827199792800191
Composite cofactor 13660916565395292104048074979631057538759020322430883784681697287429849810830488690698743121939015890079144088980074549420327301818462254504520443736360692906760142980262950258711350145285972214416828223 has 203 digits
Peak memory usage: 9428MB

c203

name 名前Ignacio Santos
date 日付October 25, 2023 14:30:46 UTC 2023 年 10 月 25 日 (水) 23 時 30 分 46 秒 (日本時間)
composite number 合成数
13660916565395292104048074979631057538759020322430883784681697287429849810830488690698743121939015890079144088980074549420327301818462254504520443736360692906760142980262950258711350145285972214416828223<203>
prime factors 素因数
319824758463286592665867254851235161411<39>
42713755592387822007476008467096303016540580463091402926535732320651911465654132060790920927584354225363383386793577303485974047509595573392467118007197957205547093<164>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:698460475
Step 1 took 8703ms
Step 2 took 3953ms
********** Factor found in step 2: 319824758463286592665867254851235161411
Found prime factor of 39 digits: 319824758463286592665867254851235161411
Prime cofactor 42713755592387822007476008467096303016540580463091402926535732320651911465654132060790920927584354225363383386793577303485974047509595573392467118007197957205547093 has 164 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMarch 13, 2023 16:59:04 UTC 2023 年 3 月 14 日 (火) 1 時 59 分 4 秒 (日本時間)

29×10299-53

c282

composite cofactor 合成数の残り
130655935931912935997742382391364272576578374294275303643322607486829862862499916036925331355728816100824314287899668792782672596651990455412525554333706596632966663582752747338070512094164814871025323444956437997181710502653533903478086800708321492897872662828576663045053216163053<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMarch 13, 2023 17:16:42 UTC 2023 年 3 月 14 日 (火) 2 時 16 分 42 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovMarch 17, 2023 23:05:53 UTC 2023 年 3 月 18 日 (土) 8 時 5 分 53 秒 (日本時間)

29×10300-53

c262

name 名前Dmitry Domanov
date 日付February 20, 2023 14:54:18 UTC 2023 年 2 月 20 日 (月) 23 時 54 分 18 秒 (日本時間)
composite number 合成数
2485072228353808665328981164029444575021375443361381880709481966291960109998117387567589245933862106952646424844849967451372918405290734404340816244822207424016760452395318816570334362953001294371716175085144793717946542339766666315209295965674415574024164554323<262>
prime factors 素因数
1890692437467890638413107511511267<34>
composite cofactor 合成数の残り
1314371485867865959890270954011153502233597964851332958766479267195280931000208255468290010035909630467346797407500794705297599016174156156222430349381317628610943231025759755303280440980070849595552242672761091936829756891170769<229>
factorization results 素因数分解の結果
Resuming ECM residue saved by @a1fb4c068622 with GMP-ECM 7.0.5-dev on Mon Feb 20 14:21:43 2023 
Input number is 2485072228353808665328981164029444575021375443361381880709481966291960109998117387567589245933862106952646424844849967451372918405290734404340816244822207424016760452395318816570334362953001294371716175085144793717946542339766666315209295965674415574024164554323 (262 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1106887258
Step 1 took 0ms
Step 2 took 7832ms
********** Factor found in step 2: 1890692437467890638413107511511267
Found prime factor of 34 digits: 1890692437467890638413107511511267
Composite cofactor 1314371485867865959890270954011153502233597964851332958766479267195280931000208255468290010035909630467346797407500794705297599016174156156222430349381317628610943231025759755303280440980070849595552242672761091936829756891170769 has 229 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 23, 2023 09:00:23 UTC 2023 年 2 月 23 日 (木) 18 時 0 分 23 秒 (日本時間)
4511e63584Dmitry DomanovFebruary 23, 2023 09:00:23 UTC 2023 年 2 月 23 日 (木) 18 時 0 分 23 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovFebruary 23, 2023 09:00:23 UTC 2023 年 2 月 23 日 (木) 18 時 0 分 23 秒 (日本時間)