Table of contents 目次

11×10100+43

c90

name 名前Dmitry Domanov
date 日付July 27, 2022 16:37:15 UTC 2022 年 7 月 28 日 (木) 1 時 37 分 15 秒 (日本時間)
composite number 合成数
252952816001243324130460183092672081972037756118235691623777477537496306861636464850970119<90>
prime factors 素因数
13813124218083881330727445113098882616440521<44>
18312498462156901121014024464124028753458613839<47>
factorization results 素因数分解の結果
P44 = 13813124218083881330727445113098882616440521
P47 = 18312498462156901121014024464124028753458613839

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10121+43

c108

name 名前Dmitry Domanov
date 日付July 27, 2022 21:41:45 UTC 2022 年 7 月 28 日 (木) 6 時 41 分 45 秒 (日本時間)
composite number 合成数
577427582890785786475414199405287694421441362614016567660552740590282386196907830332584354765443823748822581<108>
prime factors 素因数
10987621696098515934527700003267561562907<41>
52552554034129036189828110968937966134540937367831181854696221855983<68>
factorization results 素因数分解の結果
N=577427582890785786475414199405287694421441362614016567660552740590282386196907830332584354765443823748822581
  ( 108 digits)
SNFS difficulty: 121 digits.
Divisors found:
p41 factor: 10987621696098515934527700003267561562907
p68 factor: 52552554034129036189828110968937966134540937367831181854696221855983
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.83 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 577427582890785786475414199405287694421441362614016567660552740590282386196907830332584354765443823748822581
m: 1000000000000000000000000000000
deg: 4
c4: 55
c0: 2
skew: 0.44
# Murphy_E = 3.556e-08
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 66926 x 67151
Total sieving time: 0.82 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,4,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,75000
total time: 0.83 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 JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10123+43

c113

name 名前Dmitry Domanov
date 日付July 27, 2022 22:27:31 UTC 2022 年 7 月 28 日 (木) 7 時 27 分 31 秒 (日本時間)
composite number 合成数
33535720579000171252620487775995604994895133041830038144349175150344208739120553734654482742853955778352564752473<113>
prime factors 素因数
13724587966227711900260285442674313199067337639446543<53>
2443477404314212864992688012158067132296801883472066511583511<61>
factorization results 素因数分解の結果
N=33535720579000171252620487775995604994895133041830038144349175150344208739120553734654482742853955778352564752473
  ( 113 digits)
SNFS difficulty: 124 digits.
Divisors found:
p53 factor: 13724587966227711900260285442674313199067337639446543
p61 factor: 2443477404314212864992688012158067132296801883472066511583511
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.96 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 33535720579000171252620487775995604994895133041830038144349175150344208739120553734654482742853955778352564752473
m: 5000000000000000000000000000000
deg: 4
c4: 22
c0: 5
skew: 0.69
# Murphy_E = 2.992e-08
type: snfs
lss: 1
rlim: 820000
alim: 820000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 820000/820000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [410000, 785001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 70415 x 70641
Total sieving time: 0.95 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,124.000,4,0,0,0,0,0,0,0,0,820000,820000,25,25,46,46,2.2,2.2,75000
total time: 0.96 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 JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10126+43

c124

name 名前Dmitry Domanov
date 日付July 28, 2022 16:16:02 UTC 2022 年 7 月 29 日 (金) 1 時 16 分 2 秒 (日本時間)
composite number 合成数
6690997566909975669099756690997566909975669099756690997566909975669099756690997566909975669099756690997566909975669099756691<124>
prime factors 素因数
133896923079249760810420367924242791797853591590381<51>
49971257091171284774246901075410721640007404389189590527582402503962512511<74>
factorization results 素因数分解の結果
N=6690997566909975669099756690997566909975669099756690997566909975669099756690997566909975669099756690997566909975669099756691
  ( 124 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=133896923079249760810420367924242791797853591590381 (pp51)
 r2=49971257091171284774246901075410721640007404389189590527582402503962512511 (pp74)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.99 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 6690997566909975669099756690997566909975669099756690997566909975669099756690997566909975669099756690997566909975669099756691
m: 10000000000000000000000000000000
deg: 4
c4: 275
c0: 1
skew: 0.25
# Murphy_E = 2.066e-08
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 825001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 99996 x 100224
Total sieving time: 0.97 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,126.000,4,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,75000
total time: 0.99 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 JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10128+43

c100

name 名前Bob Backstrom
date 日付July 27, 2022 21:07:54 UTC 2022 年 7 月 28 日 (木) 6 時 7 分 54 秒 (日本時間)
composite number 合成数
3377985524759270662303883852477756743760831643417051634605779500083338915787406720006154335604903959<100>
prime factors 素因数
131936485809168365406081072195973848439047709369<48>
25603118834354552084751713401613228599824602100556111<53>
factorization results 素因数分解の結果
CADO


STA:Thu 28 Jul 2022 06:51:58 AEST (3377985524759270662303883852477756743760831643417051634605779500083338915787406720006154335604903959 - C100)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 3377985524759270662303883852477756743760831643417051634605779500083338915787406720006154335604903959 2>&1 | tee -a log179

Debug:root: Looking for parameter file for c100 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c100
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c100
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.zuiiwzwk
Info:Database: Opened connection to database /tmp/cado.zuiiwzwk/c100.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 3377985524759270662303883852477756743760831643417051634605779500083338915787406720006154335604903959
Debug:root: Root parameter dictionary:
N = 3377985524759270662303883852477756743760831643417051634605779500083338915787406720006154335604903959
lim0 = 919082
lim1 = 1051872
lpb0 = 24
lpb1 = 25
name = c100
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 3377985524759270662303883852477756743760831643417051634605779500083338915787406720006154335604903959
skew: 333156.121
c0: 35906836888649653645001640
c1: 2460364569756318949766
c2: 23480961712469309
c3: -43650785820
c4: -39780
Y0: -710432820087871500495193
Y1: 33088262912597
# MurphyE (Bf=1.05e+06,Bg=9.19e+05,area=2.21e+12) = 8.46e-09
# f(x) = -39780*x^4-43650785820*x^3+23480961712469309*x^2+2460364569756318949766*x+35906836888649653645001640
# g(x) = 33088262912597*x-710432820087871500495193
===
Info:Square Root: finished
Info:Square Root: Factors: 131936485809168365406081072195973848439047709369 25603118834354552084751713401613228599824602100556111
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 97.81/14.2534
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 2890.72
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 2982/33.800/37.909/38.700/0.649
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 2982/33.150/36.556/38.670/1.001
Info:Polynomial Selection (size optimized): Total time: 57.64
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 35.23
Info:Polynomial Selection (root optimized): Rootsieve time: 35.03
Info:Generate Factor Base: Total cpu/real time for makefb: 1.05/0.127038
Info:Generate Free Relations: Total cpu/real time for freerel: 26.02/1.68556
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2685929
Info:Lattice Sieving: Average J: 1000.35 for 114885 special-q, max bucket fill: 0.833061
Info:Lattice Sieving: Total CPU time: 8734.07s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 6.32/5.17763
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 5.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 27.97/8.25669
Info:Filtering - Singleton removal: Total cpu/real time for purge: 19.41/8.55057
Info:Filtering - Merging: Total cpu/real time for merge: 60.25/46.5489
Info:Filtering - Merging: Total cpu/real time for replay: 6.52/5.18911
Info:Linear Algebra: Total cpu/real time for bwc: 908.28/0.000319242
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 35.6
Info:Linear Algebra: Lingen CPU time 36.02, WCT time 3.83
Info:Linear Algebra: Mksol: WCT time 20.07
Info:Quadratic Characters: Total cpu/real time for characters: 6.24/1.42881
Info:Square Root: Total cpu/real time for sqrt: 97.81/14.2534
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 9986.81/814.646
Info:root: Cleaning up computation data in /tmp/cado.zuiiwzwk
131936485809168365406081072195973848439047709369 25603118834354552084751713401613228599824602100556111

END:Thu 28 Jul 2022 07:05:33 AEST (3377985524759270662303883852477756743760831643417051634605779500083338915787406720006154335604903959 - C100)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10129+43

c102

name 名前Bob Backstrom
date 日付July 28, 2022 11:47:35 UTC 2022 年 7 月 28 日 (木) 20 時 47 分 35 秒 (日本時間)
composite number 合成数
409723318236425282557016501917794781417297182893651211387943406281685415642319412582215843144172927803<102>
prime factors 素因数
203308915139094881350915972667558174069204033677<48>
2015274725931771775300837162356956568363913650054827239<55>
factorization results 素因数分解の結果
CADO


STA:Thu 28 Jul 2022 21:32:20 AEST (409723318236425282557016501917794781417297182893651211387943406281685415642319412582215843144172927803 - C102)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 409723318236425282557016501917794781417297182893651211387943406281685415642319412582215843144172927803 2>&1 | tee -a log191

Debug:root: Looking for parameter file for c102 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c100
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c100
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.u63fppkf
Info:Database: Opened connection to database /tmp/cado.u63fppkf/c100.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 409723318236425282557016501917794781417297182893651211387943406281685415642319412582215843144172927803
Debug:root: Root parameter dictionary:
N = 409723318236425282557016501917794781417297182893651211387943406281685415642319412582215843144172927803
lim0 = 919082
lim1 = 1051872
lpb0 = 24
lpb1 = 25
name = c100
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 409723318236425282557016501917794781417297182893651211387943406281685415642319412582215843144172927803
skew: 953763.233
c0: 2217198878326298651513400523
c1: -12979273509617729364756
c2: -11569986500646553
c3: 1968768366
c4: 6840
Y0: -2782008834208033308436320
Y1: 12475995874147
# MurphyE (Bf=1.05e+06,Bg=9.19e+05,area=2.21e+12) = 8.79e-09
# f(x) = 6840*x^4+1968768366*x^3-11569986500646553*x^2-12979273509617729364756*x+2217198878326298651513400523
# g(x) = 12475995874147*x-2782008834208033308436320
===
Info:Square Root: finished
Info:Square Root: Factors: 203308915139094881350915972667558174069204033677 2015274725931771775300837162356956568363913650054827239
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 82.15/12.071
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 2890.72
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 2911/34.210/38.675/39.500/0.697
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 2911/33.780/37.390/39.490/0.994
Info:Polynomial Selection (size optimized): Total time: 60.98
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 44.83
Info:Polynomial Selection (root optimized): Rootsieve time: 44.59
Info:Generate Factor Base: Total cpu/real time for makefb: 1.09/0.123463
Info:Generate Free Relations: Total cpu/real time for freerel: 25.99/1.7207
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2689706
Info:Lattice Sieving: Average J: 1024 for 96383 special-q, max bucket fill: 0.815362
Info:Lattice Sieving: Total CPU time: 7750.11s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 6.23/5.45055
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 5.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 28.35/8.32701
Info:Filtering - Singleton removal: Total cpu/real time for purge: 20.22/8.56807
Info:Filtering - Merging: Total cpu/real time for merge: 49.49/37.8745
Info:Filtering - Merging: Total cpu/real time for replay: 5.56/4.42615
Info:Linear Algebra: Total cpu/real time for bwc: 822.09/0.000157595
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 33.21
Info:Linear Algebra: Lingen CPU time 33.01, WCT time 3.53
Info:Linear Algebra: Mksol: WCT time 18.39
Info:Quadratic Characters: Total cpu/real time for characters: 5.74/1.29405
Info:Square Root: Total cpu/real time for sqrt: 82.15/12.071
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 8902.83/733.54
Info:root: Cleaning up computation data in /tmp/cado.u63fppkf
203308915139094881350915972667558174069204033677 2015274725931771775300837162356956568363913650054827239

END:Thu 28 Jul 2022 21:44:34 AEST (409723318236425282557016501917794781417297182893651211387943406281685415642319412582215843144172927803 - C102)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10135+43

c91

name 名前Dmitry Domanov
date 日付July 27, 2022 17:28:49 UTC 2022 年 7 月 28 日 (木) 2 時 28 分 49 秒 (日本時間)
composite number 合成数
1013350499509738897566947011644743747904767532815774322701952519810395727225013945764962383<91>
prime factors 素因数
5633564699574159013526976870519889<34>
179877316326257517091343699576923931451524254440291148447<57>
factorization results 素因数分解の結果
P57 = 179877316326257517091343699576923931451524254440291148447
P34 = 5633564699574159013526976870519889

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10136+43

c114

name 名前Bob Backstrom
date 日付July 28, 2022 05:24:45 UTC 2022 年 7 月 28 日 (木) 14 時 24 分 45 秒 (日本時間)
composite number 合成数
102959179598810885500295989747634735271395616200492167353208797125680243502960118919747688898994766287422849848563<114>
prime factors 素因数
4912992993796084338936236087534199628659588107846102627<55>
20956508533357018215089255151024845190406160053102183889969<59>
factorization results 素因数分解の結果
CADO


STA:Thu 28 Jul 2022 14:15:16 AEST (102959179598810885500295989747634735271395616200492167353208797125680243502960118919747688898994766287422849848563 - C114)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 102959179598810885500295989747634735271395616200492167353208797125680243502960118919747688898994766287422849848563 2>&1 | tee -a log187

Debug:root: Looking for parameter file for c114 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.3sse2twl
Info:Database: Opened connection to database /tmp/cado.3sse2twl/c115.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 102959179598810885500295989747634735271395616200492167353208797125680243502960118919747688898994766287422849848563
Debug:root: Root parameter dictionary:
N = 102959179598810885500295989747634735271395616200492167353208797125680243502960118919747688898994766287422849848563
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
===
Warning:Polynomial Selection (size optimized): Found more than one match for:
n: 102959179598810885500295989747634735271395616200492167353208797125680243502960118919747688898994766287422849848563
skew: 981424.237
c0: 468515145605701844856724510014
c1: 149925697406028835205369
c2: -1699770775764521440
c3: -827351521608
c4: 587520
Y0: -647403811758365538849760409
Y1: 1115290689120225077
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 2.88e-09
# f(x) = 587520*x^4-827351521608*x^3-1699770775764521440*x^2+149925697406028835205369*x+468515145605701844856724510014
# g(x) = 1115290689120225077*x-647403811758365538849760409
===
Info:Square Root: finished
Info:Square Root: Factors: 20956508533357018215089255151024845190406160053102183889969 4912992993796084338936236087534199628659588107846102627
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 258.76/37.4574
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 55681.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56132/38.140/43.167/47.010/0.647
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56132/37.120/42.330/44.080/1.018
Info:Polynomial Selection (size optimized): Total time: 1115.95
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 142.82
Info:Polynomial Selection (root optimized): Rootsieve time: 142.14
Info:Generate Factor Base: Total cpu/real time for makefb: 2.75/0.311964
Info:Generate Free Relations: Total cpu/real time for freerel: 53.33/3.55544
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6788407
Info:Lattice Sieving: Average J: 4096 for 58676 special-q, max bucket fill: 0.657484
Info:Lattice Sieving: Total CPU time: 52313.6s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 16.83/19.1698
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 89.95/28.1342
Info:Filtering - Singleton removal: Total cpu/real time for purge: 83.28/31.4808
Info:Filtering - Merging: Total cpu/real time for merge: 109.76/86.6221
Info:Filtering - Merging: Total cpu/real time for replay: 11.98/9.01062
Info:Linear Algebra: Total cpu/real time for bwc: 3093.84/0.000322104
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 126.32
Info:Linear Algebra: Lingen CPU time 78.84, WCT time 8.0
Info:Linear Algebra: Mksol: WCT time 76.27
Info:Quadratic Characters: Total cpu/real time for characters: 13.45/3.24495
Info:Square Root: Total cpu/real time for sqrt: 258.76/37.4574
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 57306.3/4002.36
Info:root: Cleaning up computation data in /tmp/cado.3sse2twl
20956508533357018215089255151024845190406160053102183889969 4912992993796084338936236087534199628659588107846102627

END:Thu 28 Jul 2022 15:21:59 AEST (102959179598810885500295989747634735271395616200492167353208797125680243502960118919747688898994766287422849848563 - C114)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10137+43

c104

name 名前Dmitry Domanov
date 日付July 28, 2022 21:04:49 UTC 2022 年 7 月 29 日 (金) 6 時 4 分 49 秒 (日本時間)
composite number 合成数
16081536475882927297331727910728576872941878109400801930781609267326382121395393332475260223619530822119<104>
prime factors 素因数
49444642246214690545575632482060149433697818771663<50>
325243256808356696570419074153160230547465909390193513<54>
factorization results 素因数分解の結果
N=16081536475882927297331727910728576872941878109400801930781609267326382121395393332475260223619530822119
  ( 104 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=49444642246214690545575632482060149433697818771663 (pp50)
 r2=325243256808356696570419074153160230547465909390193513 (pp54)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 4.11 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 16081536475882927297331727910728576872941878109400801930781609267326382121395393332475260223619530822119
m: 10000000000000000000000000000000000
deg: 4
c4: 55
c0: 2
skew: 0.44
# Murphy_E = 5.917e-09
type: snfs
lss: 1
rlim: 1380000
alim: 1380000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1380000/1380000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [690000, 1690001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 192787 x 193012
Total sieving time: 4.06 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,137.000,4,0,0,0,0,0,0,0,0,1380000,1380000,26,26,48,48,2.3,2.3,100000
total time: 4.11 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 JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10139+43

c95

name 名前Dmitry Domanov
date 日付July 28, 2022 00:26:37 UTC 2022 年 7 月 28 日 (木) 9 時 26 分 37 秒 (日本時間)
composite number 合成数
49791170861130183484737678554359050033940342383799195272861304416679659238084889469718421643103<95>
prime factors 素因数
2341319252222525458082935734496354777404943<43>
21266288573788181910927011553383896074020805670515121<53>
factorization results 素因数分解の結果
N=49791170861130183484737678554359050033940342383799195272861304416679659238084889469718421643103
  ( 95 digits)
Divisors found:
p43 factor: 2341319252222525458082935734496354777404943
p53 factor: 21266288573788181910927011553383896074020805670515121
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.07 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 49791170861130183484737678554359050033940342383799195272861304416679659238084889469718421643103
skew: 311658.17
c0: -38876340546222215529722859
c1: -602306548899335241945
c2: -134493416828368
c3: 1982424412
c4: 16800
Y0: -41491446853498242228658
Y1: 7075976780171
rlim: 1500000
alim: 1500000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 50/50
Sieved algebraic special-q in [750000, 950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 117262 x 117490
Total sieving time: 1.04 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,94,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,25,25,50,50,2.5,2.5,60000
total time: 1.07 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 JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10140+43

c124

name 名前Bob Backstrom
date 日付July 28, 2022 21:48:39 UTC 2022 年 7 月 29 日 (金) 6 時 48 分 39 秒 (日本時間)
composite number 合成数
2266787810887387255467351926909242997407530504921165230485076238351201394385771651147982926910423159793853833271790409791203<124>
prime factors 素因数
14888027640740102522821647627989895650443069770409<50>
152255749759926049610418992170880226887124417894250925494230661184713988267<75>
factorization results 素因数分解の結果
Number: n
N=2266787810887387255467351926909242997407530504921165230485076238351201394385771651147982926910423159793853833271790409791203  ( 124 digits)
SNFS difficulty: 141 digits.
Divisors found:

Fri Jul 29 07:43:34 2022  p50 factor: 14888027640740102522821647627989895650443069770409
Fri Jul 29 07:43:34 2022  p75 factor: 152255749759926049610418992170880226887124417894250925494230661184713988267
Fri Jul 29 07:43:34 2022  elapsed time 00:02:40 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 11x10^140+4 = 36(139)8
#
n: 2266787810887387255467351926909242997407530504921165230485076238351201394385771651147982926910423159793853833271790409791203
m: 100000000000000000000000000000000000
deg: 4
c4: 11
c0: 4
skew: 0.78
# Murphy_E = 4.522e-09
type: snfs
lss: 1
rlim: 1570000
alim: 1570000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1570000/1570000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6385000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 377791 hash collisions in 6097832 relations (6414298 unique)
Msieve: matrix is 218246 x 218472 (72.7 MB)

Sieving start time : 2022/07/29 07:27:00
Sieving end time  : 2022/07/29 07:40:42

Total sieving time: 0hrs 13min 42secs.

Total relation processing time: 0hrs 1min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 13sec.

Prototype def-par.txt line would be:
snfs,141,4,0,0,0,0,0,0,0,0,1570000,1570000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10142+43

c84

name 名前Dmitry Domanov
date 日付July 27, 2022 17:55:22 UTC 2022 年 7 月 28 日 (木) 2 時 55 分 22 秒 (日本時間)
composite number 合成数
199618967426738721324198583018931218492264984100889063339838737025741858764640696529<84>
prime factors 素因数
389358776636505840896438302665640163399<39>
512686446036112471942269451367261810743224871<45>
factorization results 素因数分解の結果
P45 = 512686446036112471942269451367261810743224871
P39 = 389358776636505840896438302665640163399

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10148+43

c147

name 名前Bob Backstrom
date 日付August 1, 2022 13:32:55 UTC 2022 年 8 月 1 日 (月) 22 時 32 分 55 秒 (日本時間)
composite number 合成数
195035460992907801418439716312056737588652482269503546099290780141843971631205673758865248226950354609929078014184397163120567375886524822695035461<147>
prime factors 素因数
230037224582449565006272283291960609100572216819<48>
847843045172036976782477244877334266529379843192191473233391712921756099491834182051719382389286119<99>
factorization results 素因数分解の結果
Number: n
N=195035460992907801418439716312056737588652482269503546099290780141843971631205673758865248226950354609929078014184397163120567375886524822695035461  ( 147 digits)
SNFS difficulty: 148 digits.
Divisors found:

Mon Aug  1 23:07:07 2022  p48 factor: 230037224582449565006272283291960609100572216819
Mon Aug  1 23:07:07 2022  p99 factor: 847843045172036976782477244877334266529379843192191473233391712921756099491834182051719382389286119
Mon Aug  1 23:07:07 2022  elapsed time 00:04:23 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 11x10^148+4 = 36(147)8
#
n: 195035460992907801418439716312056737588652482269503546099290780141843971631205673758865248226950354609929078014184397163120567375886524822695035461
m: 100000000000000000000000000000
deg: 5
c5: 2750
c0: 1
skew: 0.21
# Murphy_E = 1.804e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 13850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 941762 hash collisions in 9772044 relations (9254884 unique)
Msieve: matrix is 395538 x 395785 (77.1 MB)

Sieving start time : 2022/08/01 22:40:27
Sieving end time  : 2022/08/01 23:02:31

Total sieving time: 0hrs 22min 4secs.

Total relation processing time: 0hrs 1min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 17sec.

Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10149+43

c136

name 名前Ignacio Santos
date 日付August 4, 2022 10:46:43 UTC 2022 年 8 月 4 日 (木) 19 時 46 分 43 秒 (日本時間)
composite number 合成数
5738279123807153511969566166433781320681964000072560791337095878357868191260826061246834263835250450754325322313010006997596171492280427<136>
prime factors 素因数
22165169396326742136835015866226799599549794771639877<53>
258887221712734261115044936328045443283482406891490410796433572206176150082657767151<84>
factorization results 素因数分解の結果
N=5738279123807153511969566166433781320681964000072560791337095878357868191260826061246834263835250450754325322313010006997596171492280427
  ( 136 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=22165169396326742136835015866226799599549794771639877 (pp53)
 r2=258887221712734261115044936328045443283482406891490410796433572206176150082657767151 (pp84)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.64 hours.
Scaled time: 51.50 units (timescale=7.758).
Factorization parameters were as follows:
n: 5738279123807153511969566166433781320681964000072560791337095878357868191260826061246834263835250450754325322313010006997596171492280427
m: 500000000000000000000000000000
deg: 5
c5: 44
c0: 5
skew: 0.65
# Murphy_E = 1.663e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 1600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 394711 x 394937
Total sieving time: 6.56 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,150.000,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000
total time: 6.64 hours.
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 JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10158+43

c133

name 名前Eric Jeancolas
date 日付August 11, 2022 04:07:36 UTC 2022 年 8 月 11 日 (木) 13 時 7 分 36 秒 (日本時間)
composite number 合成数
3328115736561992725724274523857745299060200104691674341594385379027860680915354889925849411453495005268844124718000743363284273081877<133>
prime factors 素因数
208453585779708831385353359856087525617734200510999350581<57>
15965739922934711380523242630421581216284737261600453995203875530914290162017<77>
factorization results 素因数分解の結果
3328115736561992725724274523857745299060200104691674341594385379027860680915354889925849411453495005268844124718000743363284273081877=208453585779708831385353359856087525617734200510999350581*15965739922934711380523242630421581216284737261600453995203875530914290162017

cado polynomial
n: 3328115736561992725724274523857745299060200104691674341594385379027860680915354889925849411453495005268844124718000743363284273081877
skew: 0.21
type: snfs
c0: 1
c5: 2750
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 2750*x^5+1
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3100000
tasks.lim1 = 3100000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 15965739922934711380523242630421581216284737261600453995203875530914290162017 208453585779708831385353359856087525617734200510999350581
Info:Square Root: Total cpu/real time for sqrt: 61.34/19.0967
Info:Filtering - Singleton removal: Total cpu/real time for purge: 89.3/79.2394
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11656660
Info:Lattice Sieving: Average J: 1894.2 for 215198 special-q, max bucket fill -bkmult 1.0,1s:1.221980
Info:Lattice Sieving: Total time: 26779.3s
Info:Linear Algebra: Total cpu/real time for bwc: 1464.2/382.65
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 908.23, WCT time 236.25, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9856 iterations)
Info:Linear Algebra: Lingen CPU time 47.18, WCT time 12.04
Info:Linear Algebra: Mksol: CPU time 480.18,  WCT time 122.74, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4992 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 59.87/17.5946
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.34/47.6035
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 47.5s
Info:Filtering - Merging: Merged matrix has 312660 rows and total weight 53208111 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 63.16/17.6153
Info:Filtering - Merging: Total cpu/real time for replay: 9.73/8.092
Info:Generate Factor Base: Total cpu/real time for makefb: 1.36/0.756132
Info:Quadratic Characters: Total cpu/real time for characters: 9.74/3.81873
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 100.37/83.8931
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 77.2s
Info:Square Root: Total cpu/real time for sqrt: 61.34/19.0967
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 50887.8/14209.6
Info:root: Cleaning up computation data in /tmp/cado.uew4gata
15965739922934711380523242630421581216284737261600453995203875530914290162017 208453585779708831385353359856087525617734200510999350581
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-122-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.9)]
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 JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10159+43

c143

name 名前Bob Backstrom
date 日付July 31, 2022 23:25:12 UTC 2022 年 8 月 1 日 (月) 8 時 25 分 12 秒 (日本時間)
composite number 合成数
19225878184850975799158959986632634543495075264334628163671074145025597097860258085510808495207573111826075431715781075809770912555055528261677<143>
prime factors 素因数
1060640684174004650338481879992264009<37>
18126664827894582086366871256904086915454628761209581241286754460319961170561630610411809320902047886118853<107>
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 19225878184850975799158959986632634543495075264334628163671074145025597097860258085510808495207573111826075431715781075809770912555055528261677 (143 digits)
Using B1=10940000, B2=35133391030, polynomial Dickson(12), sigma=1:1637406898
Step 1 took 21645ms
Step 2 took 9667ms
********** Factor found in step 2: 1060640684174004650338481879992264009
Found prime factor of 37 digits: 1060640684174004650338481879992264009
Prime cofactor 18126664827894582086366871256904086915454628761209581241286754460319961170561630610411809320902047886118853 has 107 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10161+43

c140

name 名前Bob Backstrom
date 日付August 2, 2022 03:32:36 UTC 2022 年 8 月 2 日 (火) 12 時 32 分 36 秒 (日本時間)
composite number 合成数
63186645290450901513130217966326383693204237688671562582600572598545064392036750622314399246449261369293984653868870591869221193856392811181<140>
prime factors 素因数
6290452568401189582180608335161304787601<40>
10044848856798662820344757290331099637736895574055492635051704481392990103767615111579817843777215581<101>
factorization results 素因数分解の結果
Number: n
N=63186645290450901513130217966326383693204237688671562582600572598545064392036750622314399246449261369293984653868870591869221193856392811181  ( 140 digits)
SNFS difficulty: 161 digits.
Divisors found:

Tue Aug  2 12:57:45 2022  p40 factor: 6290452568401189582180608335161304787601
Tue Aug  2 12:57:45 2022  p101 factor: 10044848856798662820344757290331099637736895574055492635051704481392990103767615111579817843777215581
Tue Aug  2 12:57:45 2022  elapsed time 00:07:32 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 11x10^161+4 = 36(160)8
#
n: 63186645290450901513130217966326383693204237688671562582600572598545064392036750622314399246449261369293984653868870591869221193856392811181
m: 100000000000000000000000000000000
deg: 5
c5: 55
c0: 2
skew: 0.52
# Murphy_E = 5.729e-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, 7350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 890349 hash collisions in 11561675 relations (11429782 unique)
Msieve: matrix is 491449 x 491679 (168.9 MB)

Sieving start time : 2022/08/02 12:08:13
Sieving end time  : 2022/08/02 12:49:50

Total sieving time: 0hrs 41min 37secs.

Total relation processing time: 0hrs 3min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 57sec.

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) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10164+43

c157

name 名前Bob Backstrom
date 日付July 29, 2022 09:39:41 UTC 2022 年 7 月 29 日 (金) 18 時 39 分 41 秒 (日本時間)
composite number 合成数
7683718906539182873096732349051735485266385174323045504296581938158580278978230794942749448651257261777960585092562688179514920399047095916086636696810035641<157>
prime factors 素因数
84599341259636783008032716689347089101196396178846714561376997247861421<71>
90824807760118627507234675215691919840431978078309328031086090556238674924035842629821<86>
factorization results 素因数分解の結果
Number: n
N=7683718906539182873096732349051735485266385174323045504296581938158580278978230794942749448651257261777960585092562688179514920399047095916086636696810035641  ( 157 digits)
SNFS difficulty: 165 digits.
Divisors found:

Fri Jul 29 19:35:49 2022  p71 factor: 84599341259636783008032716689347089101196396178846714561376997247861421
Fri Jul 29 19:35:49 2022  p86 factor: 90824807760118627507234675215691919840431978078309328031086090556238674924035842629821
Fri Jul 29 19:35:49 2022  elapsed time 00:11:15 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 11x10^164+4 = 36(163)8
#
n: 7683718906539182873096732349051735485266385174323045504296581938158580278978230794942749448651257261777960585092562688179514920399047095916086636696810035641
m: 500000000000000000000000000000000
deg: 5
c5: 44
c0: 5
skew: 0.65
# Murphy_E = 4.39e-10
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 911430 hash collisions in 10580505 relations (10336476 unique)
Msieve: matrix is 552581 x 552806 (192.2 MB)

Sieving start time : 2022/07/29 18:56:16
Sieving end time  : 2022/07/29 19:24:04

Total sieving time: 0hrs 27min 48secs.

Total relation processing time: 0hrs 4min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 10sec.

Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10165+43

c140

name 名前Bob Backstrom
date 日付August 2, 2022 02:10:30 UTC 2022 年 8 月 2 日 (火) 11 時 10 分 30 秒 (日本時間)
composite number 合成数
10687123171796056258975055362687128326328619913274675816683438723738947170392707283430216119627436244096306959828343094577770350986859866101<140>
prime factors 素因数
812014574770565269075370403434105484632511936282269877539<57>
13161245504510436995463287562373418132821398379378585438840267953369349263441226759<83>
factorization results 素因数分解の結果
Number: n
N=10687123171796056258975055362687128326328619913274675816683438723738947170392707283430216119627436244096306959828343094577770350986859866101  ( 140 digits)
SNFS difficulty: 166 digits.
Divisors found:

Tue Aug  2 12:04:22 2022  p57 factor: 812014574770565269075370403434105484632511936282269877539
Tue Aug  2 12:04:22 2022  p83 factor: 13161245504510436995463287562373418132821398379378585438840267953369349263441226759
Tue Aug  2 12:04:22 2022  elapsed time 00:07:19 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 11x10^165+4 = 36(164)8
#
n: 10687123171796056258975055362687128326328619913274675816683438723738947170392707283430216119627436244096306959828343094577770350986859866101
m: 1000000000000000000000000000000000
deg: 5
c5: 11
c0: 4
skew: 0.82
# Murphy_E = 4.9e-10
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 924446 hash collisions in 11756576 relations (11602354 unique)
Msieve: matrix is 531672 x 531905 (183.4 MB)

Sieving start time : 2022/08/02 10:55:31
Sieving end time  : 2022/08/02 11:56:38

Total sieving time: 1hrs 1min 7secs.

Total relation processing time: 0hrs 4min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 29sec.

Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10166+43

c161

name 名前Bob Backstrom
date 日付July 29, 2022 02:18:49 UTC 2022 年 7 月 29 日 (金) 11 時 18 分 49 秒 (日本時間)
composite number 合成数
11823639453808050307651098588085469005081585261983903512222848516821169388038518407686827476762248968011250945353718147652749598103746201924544542659476174076649<161>
prime factors 素因数
1177555364725529789073693604308430791918473703571694618180073322101613009<73>
10040835282988125560999969440109481687642259939305863060120592938370179997018576938775961<89>
factorization results 素因数分解の結果
Number: n
N=11823639453808050307651098588085469005081585261983903512222848516821169388038518407686827476762248968011250945353718147652749598103746201924544542659476174076649  ( 161 digits)
SNFS difficulty: 166 digits.
Divisors found:

Fri Jul 29 12:14:10 2022  p73 factor: 1177555364725529789073693604308430791918473703571694618180073322101613009
Fri Jul 29 12:14:10 2022  p89 factor: 10040835282988125560999969440109481687642259939305863060120592938370179997018576938775961
Fri Jul 29 12:14:10 2022  elapsed time 00:08:51 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 11x10^166+4 = 36(165)8
#
n: 11823639453808050307651098588085469005081585261983903512222848516821169388038518407686827476762248968011250945353718147652749598103746201924544542659476174076649
m: 1000000000000000000000000000000000
deg: 5
c5: 55
c0: 2
skew: 0.52
# Murphy_E = 3.65e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1175560 hash collisions in 12139110 relations (11712496 unique)
Msieve: matrix is 546889 x 547114 (187.4 MB)

Sieving start time : 2022/07/29 11:39:57
Sieving end time  : 2022/07/29 12:05:03

Total sieving time: 0hrs 25min 6secs.

Total relation processing time: 0hrs 4min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 33sec.

Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10168+43

c152

name 名前Bob Backstrom
date 日付July 30, 2022 22:51:00 UTC 2022 年 7 月 31 日 (日) 7 時 51 分 0 秒 (日本時間)
composite number 合成数
30312960855366582697381270154631578417792757415348874374715404058716277003482228183090458516716724963775779746775697840037277057943537386121625280763403<152>
prime factors 素因数
9397058595823624500184619125116693923<37>
74606293968252096297737289092484327024723069863875787<53>
43237537988862295601054574704400091120865617951511911408656203<62>
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 30312960855366582697381270154631578417792757415348874374715404058716277003482228183090458516716724963775779746775697840037277057943537386121625280763403 (152 digits)
Using B1=11180000, B2=35133715900, polynomial Dickson(12), sigma=1:3617904629
Step 1 took 21371ms
Step 2 took 10037ms
********** Factor found in step 2: 9397058595823624500184619125116693923
Found prime factor of 37 digits: 9397058595823624500184619125116693923
Composite cofactor 3225792469660527958733858428316700044994409547200959628632130366098179194959023865619223378012155812074162979056761 has 115 digits


CADO


STA:Sun 31 Jul 2022 07:29:42 AEST (3,225,792,469,660,527,958,733,858,428,316,700,044,994,409,547,200,959,628,632,130,366,098,179,194,959,023,865,619,223,378,012,155,812,074,162,979,056,761 - C115)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 3225792469660527958733858428316700044994409547200959628632130366098179194959023865619223378012155812074162979056761 2>&1 | tee -a log195

Debug:root: Looking for parameter file for c115 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.vifkyx39
Info:Database: Opened connection to database /tmp/cado.vifkyx39/c115.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 3225792469660527958733858428316700044994409547200959628632130366098179194959023865619223378012155812074162979056761
Debug:root: Root parameter dictionary:
N = 3225792469660527958733858428316700044994409547200959628632130366098179194959023865619223378012155812074162979056761
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 3225792469660527958733858428316700044994409547200959628632130366098179194959023865619223378012155812074162979056761
skew: 685532.626
c0: 7082273364943469623350766200
c1: -540457898027764625958954
c2: -28363138628062903
c3: 642086451562
c4: 525600
Y0: -1573928397856672541652970909
Y1: 122178036957828527
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 2.4e-09
# f(x) = 525600*x^4+642086451562*x^3-28363138628062903*x^2-540457898027764625958954*x+7082273364943469623350766200
# g(x) = 122178036957828527*x-1573928397856672541652970909
===
Info:Square Root: finished
Info:Square Root: Factors: 43237537988862295601054574704400091120865617951511911408656203 74606293968252096297737289092484327024723069863875787
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 277.95/40.2628
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 55681.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56279/38.240/43.740/48.270/0.634
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56279/37.810/42.948/44.660/1.009
Info:Polynomial Selection (size optimized): Total time: 1118.23
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 148.2
Info:Polynomial Selection (root optimized): Rootsieve time: 147.57
Info:Generate Factor Base: Total cpu/real time for makefb: 2.72/0.286463
Info:Generate Free Relations: Total cpu/real time for freerel: 53.16/3.45715
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6783570
Info:Lattice Sieving: Average J: 4066.99 for 70848 special-q, max bucket fill: 0.655501
Info:Lattice Sieving: Total CPU time: 60582.6s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.11/19.1196
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 89.69/27.8596
Info:Filtering - Singleton removal: Total cpu/real time for purge: 82.03/30.3946
Info:Filtering - Merging: Total cpu/real time for merge: 116.92/91.5187
Info:Filtering - Merging: Total cpu/real time for replay: 12.56/9.78069
Info:Linear Algebra: Total cpu/real time for bwc: 3497.4/0.000144482
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 149.75
Info:Linear Algebra: Lingen CPU time 80.22, WCT time 8.15
Info:Linear Algebra: Mksol: WCT time 79.99
Info:Quadratic Characters: Total cpu/real time for characters: 13.76/3.28783
Info:Square Root: Total cpu/real time for sqrt: 277.95/40.2628
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 66012.3/4572.12
Info:root: Cleaning up computation data in /tmp/cado.vifkyx39
43237537988862295601054574704400091120865617951511911408656203 74606293968252096297737289092484327024723069863875787

END:Sun 31 Jul 2022 08:45:55 AEST (3,225,792,469,660,527,958,733,858,428,316,700,044,994,409,547,200,959,628,632,130,366,098,179,194,959,023,865,619,223,378,012,155,812,074,162,979,056,761 - C115)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10169+43

c158

name 名前Bob Backstrom
date 日付July 29, 2022 05:52:08 UTC 2022 年 7 月 29 日 (金) 14 時 52 分 8 秒 (日本時間)
composite number 合成数
41751517663595539607161180732864930679126167041672088472634012127741342960595877787991120922411159153501552470163098125458319013607132000530367415494741858721<158>
prime factors 素因数
441084571329499442259316010181626681712567520980514705822667233<63>
94656490789849637895589964430989544212757057277757900117973796511455279917166874380865180876737<95>
factorization results 素因数分解の結果
Number: n
N=41751517663595539607161180732864930679126167041672088472634012127741342960595877787991120922411159153501552470163098125458319013607132000530367415494741858721  ( 158 digits)
SNFS difficulty: 170 digits.
Divisors found:

Fri Jul 29 15:48:47 2022  p63 factor: 441084571329499442259316010181626681712567520980514705822667233
Fri Jul 29 15:48:47 2022  p95 factor: 94656490789849637895589964430989544212757057277757900117973796511455279917166874380865180876737
Fri Jul 29 15:48:47 2022  elapsed time 00:11:44 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 11x10^169+4 = 36(168)8
#
n: 41751517663595539607161180732864930679126167041672088472634012127741342960595877787991120922411159153501552470163098125458319013607132000530367415494741858721
m: 5000000000000000000000000000000000
deg: 5
c5: 44
c0: 5
skew: 0.65
# Murphy_E = 2.788e-10
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1093690 hash collisions in 11805791 relations (11450182 unique)
Msieve: matrix is 702628 x 702853 (245.2 MB)

Sieving start time : 2022/07/29 14:59:58
Sieving end time  : 2022/07/29 15:36:33

Total sieving time: 0hrs 36min 35secs.

Total relation processing time: 0hrs 7min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 26sec.

Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10170+43

c148

name 名前Bob Backstrom
date 日付August 1, 2022 11:21:37 UTC 2022 年 8 月 1 日 (月) 20 時 21 分 37 秒 (日本時間)
composite number 合成数
7440254126762911851896253832230460133799180903155228942829111089194279927745242120362622280245795214241522331219388806785594721033652570322264188257<148>
prime factors 素因数
67801257670737251847771640325700038178045497554742864988360371567<65>
109736225880867330769649103672427068926177095910599494339299093258484443312534721071<84>
factorization results 素因数分解の結果
Number: n
N=7440254126762911851896253832230460133799180903155228942829111089194279927745242120362622280245795214241522331219388806785594721033652570322264188257  ( 148 digits)
SNFS difficulty: 171 digits.
Divisors found:

Mon Aug  1 21:14:14 2022  p65 factor: 67801257670737251847771640325700038178045497554742864988360371567
Mon Aug  1 21:14:14 2022  p84 factor: 109736225880867330769649103672427068926177095910599494339299093258484443312534721071
Mon Aug  1 21:14:14 2022  elapsed time 00:12:02 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 11x10^170+4 = 36(169)8
#
n: 7440254126762911851896253832230460133799180903155228942829111089194279927745242120362622280245795214241522331219388806785594721033652570322264188257
m: 10000000000000000000000000000000000
deg: 5
c5: 11
c0: 4
skew: 0.82
# Murphy_E = 3.109e-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, 15300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1319303 hash collisions in 13983119 relations (13564823 unique)
Msieve: matrix is 621793 x 622021 (215.4 MB)

Sieving start time : 2022/08/01 20:00:51
Sieving end time  : 2022/08/01 21:01:56

Total sieving time: 1hrs 1min 5secs.

Total relation processing time: 0hrs 5min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 41sec.

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) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10174+43

c137

name 名前ebina
date 日付August 11, 2022 20:50:37 UTC 2022 年 8 月 12 日 (金) 5 時 50 分 37 秒 (日本時間)
composite number 合成数
83934409619898823550746082048265755666775751531115316578839424601170825567099058556142504093127765561102385097507587200721718774552700583<137>
prime factors 素因数
2298623630850039531719982559630999513803916283<46>
36515072973847209610098721999484316539256293128519617956552931679934655814808430795186732101<92>
factorization results 素因数分解の結果
C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:3019974666 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 83934409619898823550746082048265755666775751531115316578839424601170825567099058556142504093127765561102385097507587200721718774552700583 (137 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3019974666
Step 1 took 3766ms
********** Factor found in step 1: 2298623630850039531719982559630999513803916283
Found probable prime factor of 46 digits: 2298623630850039531719982559630999513803916283
Probable prime cofactor 36515072973847209610098721999484316539256293128519617956552931679934655814808430795186732101 has 92 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10176+43

c141

name 名前Bob Backstrom
date 日付August 10, 2022 11:09:02 UTC 2022 年 8 月 10 日 (水) 20 時 9 分 2 秒 (日本時間)
composite number 合成数
640860343232308299548766380525809825199230454886928714673863014743172855916351047793565111012571091064849671324635014449526313132528934489699<141>
prime factors 素因数
32740400480975500951326134452781347048808542151001978687093064387<65>
19573992187563304098855300678161923355604261646153963890152449579673686903777<77>
factorization results 素因数分解の結果
Number: n
N=640860343232308299548766380525809825199230454886928714673863014743172855916351047793565111012571091064849671324635014449526313132528934489699  ( 141 digits)
SNFS difficulty: 176 digits.
Divisors found:

Wed Aug 10 20:56:07 2022  p65 factor: 32740400480975500951326134452781347048808542151001978687093064387
Wed Aug 10 20:56:07 2022  p77 factor: 19573992187563304098855300678161923355604261646153963890152449579673686903777
Wed Aug 10 20:56:07 2022  elapsed time 00:13:59 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 11x10^176+4 = 36(175)8
#
n: 640860343232308299548766380525809825199230454886928714673863014743172855916351047793565111012571091064849671324635014449526313132528934489699
m: 100000000000000000000000000000000000
deg: 5
c5: 55
c0: 2
skew: 0.52
# Murphy_E = 1.461e-10
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1705285 hash collisions in 13202463 relations (12210023 unique)
Msieve: matrix is 811068 x 811294 (281.8 MB)

Sieving start time : 2022/08/10 19:35:43
Sieving end time  : 2022/08/10 20:41:51

Total sieving time: 1hrs 6min 8secs.

Total relation processing time: 0hrs 9min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 52sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10177+43

c125

name 名前Eric Jeancolas
date 日付August 9, 2022 20:54:53 UTC 2022 年 8 月 10 日 (水) 5 時 54 分 53 秒 (日本時間)
composite number 合成数
95442457926710818288428975941390342202162933308726830318990412696773679420556567086395475652298178799243128321387973897318373<125>
prime factors 素因数
44019080675011453933130964838744749146808346105262280867541837<62>
2168206524605843186339602467044597919790652441354171370709742329<64>
factorization results 素因数分解の結果
95442457926710818288428975941390342202162933308726830318990412696773679420556567086395475652298178799243128321387973897318373=
44019080675011453933130964838744749146808346105262280867541837*2168206524605843186339602467044597919790652441354171370709742329

cado polynomial
n: 95442457926710818288428975941390342202162933308726830318990412696773679420556567086395475652298178799243128321387973897318373
skew: 128723.878
c0: 258505313481136211572219688040
c1: 37162189957049674610375386
c2: -56421729578852883855
c3: -4498445810586817
c4: 4390439634
c5: 37800
Y0: -2137396226667650532794883
Y1: 438834572658488453
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.441e-07
# f(x) = 37800*x^5+4390439634*x^4-4498445810586817*x^3-56421729578852883855*x^2+37162189957049674610375386*x+258505313481136211572219688040
# g(x) = 438834572658488453*x-2137396226667650532794883

cado parameters (extracts)
tasks.lim0 = 2377918
tasks.lim1 = 9209388
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 57
tasks.sieve.mfb1 = 53
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2168206524605843186339602467044597919790652441354171370709742329 44019080675011453933130964838744749146808346105262280867541837
Info:Square Root: Total cpu/real time for sqrt: 592.36/175.217
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 182.69/175.734
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 145.29999999999998s
Info:Square Root: Total cpu/real time for sqrt: 592.36/175.217
Info:Generate Free Relations: Total cpu/real time for freerel: 126.69/32.8985
Info:Filtering - Singleton removal: Total cpu/real time for purge: 115.36/134.13
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12075845
Info:Lattice Sieving: Average J: 3809.44 for 237702 special-q, max bucket fill -bkmult 1.0,1s:1.182320
Info:Lattice Sieving: Total time: 70299.4s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.53/2.28444
Info:Linear Algebra: Total cpu/real time for bwc: 10832.5/2794.71
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6829.11, WCT time 1751.33, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26368 iterations)
Info:Linear Algebra: Lingen CPU time 147.05, WCT time 37.37
Info:Linear Algebra: Mksol: CPU time 3722.07,  WCT time 957.13, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13312 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 52.4/58.9136
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 58.50000000000001s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2436.26
Info:Polynomial Selection (root optimized): Rootsieve time: 2433.82
Info:Filtering - Merging: Merged matrix has 840217 rows and total weight 142870832 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 171.3/49.5124
Info:Filtering - Merging: Total cpu/real time for replay: 31.98/26.519
Info:Quadratic Characters: Total cpu/real time for characters: 31.89/12.6669
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20143/37.140/44.541/48.010/0.868
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15839/35.720/39.899/45.280/0.962
Info:Polynomial Selection (size optimized): Total time: 1965.35
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 147524/39838.2
Info:root: Cleaning up computation data in /tmp/cado.57aia84g
2168206524605843186339602467044597919790652441354171370709742329 44019080675011453933130964838744749146808346105262280867541837
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-122-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.9)]
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 JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62078ebinaJuly 28, 2022 20:43:54 UTC 2022 年 7 月 29 日 (金) 5 時 43 分 54 秒 (日本時間)

11×10180+43

c126

name 名前Bob Backstrom
date 日付August 5, 2022 18:13:22 UTC 2022 年 8 月 6 日 (土) 3 時 13 分 22 秒 (日本時間)
composite number 合成数
865776121705840117448480004419333827238178857729933396919982944428013601394654298470089664320397879172433402708436632233688013<126>
prime factors 素因数
2108016063249848238718824291097242322761043<43>
410706605513767280733798791754536232614014030289843314576160921707437938568054621791<84>
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 865776121705840117448480004419333827238178857729933396919982944428013601394654298470089664320397879172433402708436632233688013 (126 digits)
Using B1=23740000, B2=96188942866, polynomial Dickson(12), sigma=1:1894010878
Step 1 took 36103ms
Step 2 took 14423ms
********** Factor found in step 2: 2108016063249848238718824291097242322761043
Found prime factor of 43 digits: 2108016063249848238718824291097242322761043
Prime cofactor 410706605513767280733798791754536232614014030289843314576160921707437938568054621791 has 84 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62078ebinaJuly 29, 2022 01:23:03 UTC 2022 年 7 月 29 日 (金) 10 時 23 分 3 秒 (日本時間)

11×10181+43

c170

name 名前Bob Backstrom
date 日付August 3, 2022 09:30:10 UTC 2022 年 8 月 3 日 (水) 18 時 30 分 10 秒 (日本時間)
composite number 合成数
26265009510870458379543039198936862487371083333344971359047600033441308854002382257101487460358338490142527324908151177286541788911455002427018113118315487191000135119989<170>
prime factors 素因数
272365193028910801912331496657820977745125529<45>
96433061871024397856851868374622496781811126377593601386104510464778724060799643070105728118655853566742136918045092769607741<125>
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 26265009510870458379543039198936862487371083333344971359047600033441308854002382257101487460358338490142527324908151177286541788911455002427018113118315487191000135119989 (170 digits)
Using B1=15950000, B2=58558467250, polynomial Dickson(12), sigma=1:837478820
Step 1 took 37567ms
Step 2 took 16715ms
********** Factor found in step 2: 272365193028910801912331496657820977745125529
Found prime factor of 45 digits: 272365193028910801912331496657820977745125529
Prime cofactor 96433061871024397856851868374622496781811126377593601386104510464778724060799643070105728118655853566742136918045092769607741 has 125 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62078ebinaJuly 29, 2022 03:43:17 UTC 2022 年 7 月 29 日 (金) 12 時 43 分 17 秒 (日本時間)

11×10183+43

c160

name 名前Bob Backstrom
date 日付August 19, 2022 12:09:42 UTC 2022 年 8 月 19 日 (金) 21 時 9 分 42 秒 (日本時間)
composite number 合成数
1767127084724488996764235248619060103550551612053775992748757463801516299834785259616833869158632893633269458626531618980789451144924366679725642484562354050569<160>
prime factors 素因数
118878060039612898631379789472376421165254532049901<51>
14865039723357208933687614539911037004963860193785021520809357031900398234836950787419833894131406836207347469<110>
factorization results 素因数分解の結果
Number: n
N=1767127084724488996764235248619060103550551612053775992748757463801516299834785259616833869158632893633269458626531618980789451144924366679725642484562354050569  ( 160 digits)
SNFS difficulty: 183 digits.
Divisors found:

Fri Aug 19 22:06:22 2022  p51 factor: 118878060039612898631379789472376421165254532049901
Fri Aug 19 22:06:22 2022  p110 factor: 14865039723357208933687614539911037004963860193785021520809357031900398234836950787419833894131406836207347469
Fri Aug 19 22:06:22 2022  elapsed time 00:20:27 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.290).
Factorization parameters were as follows:
#
# N = 11x10^183+4 = 36(182)8
#
n: 1767127084724488996764235248619060103550551612053775992748757463801516299834785259616833869158632893633269458626531618980789451144924366679725642484562354050569
m: 1000000000000000000000000000000000000
deg: 5
c5: 2750
c0: 1
skew: 0.21
# Murphy_E = 7.65e-11
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1158742 hash collisions in 11485862 relations (11022665 unique)
Msieve: matrix is 986908 x 987135 (344.8 MB)

Sieving start time : 2022/08/19 20:23:31
Sieving end time  : 2022/08/19 21:45:38

Total sieving time: 1hrs 22min 7secs.

Total relation processing time: 0hrs 15min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 27sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.5,2.5,100000
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 JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62078ebinaJuly 29, 2022 03:44:06 UTC 2022 年 7 月 29 日 (金) 12 時 44 分 6 秒 (日本時間)

11×10185+43

c184

name 名前Bob Backstrom
date 日付August 2, 2022 00:52:19 UTC 2022 年 8 月 2 日 (火) 9 時 52 分 19 秒 (日本時間)
composite number 合成数
2956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827957<184>
prime factors 素因数
431128041560436794023368003030394344683612562909790291<54>
6858726323180508143617317406230712985379873482638065365977953677671537051942426631197652063593366827311102939456158782924675871127<130>
factorization results 素因数分解の結果
Number: n
N=2956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827957  ( 184 digits)
SNFS difficulty: 186 digits.
Divisors found:

Tue Aug  2 10:43:23 2022  p54 factor: 431128041560436794023368003030394344683612562909790291
Tue Aug  2 10:43:23 2022  p130 factor: 6858726323180508143617317406230712985379873482638065365977953677671537051942426631197652063593366827311102939456158782924675871127
Tue Aug  2 10:43:23 2022  elapsed time 00:25:03 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 11x10^185+4 = 36(184)8
#
n: 2956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827957
m: 10000000000000000000000000000000000000
deg: 5
c5: 11
c0: 4
skew: 0.82
# Murphy_E = 7.724e-11
type: snfs
lss: 1
rlim: 8800000
alim: 8800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 10000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2728794 hash collisions in 28554447 relations (27641807 unique)
Msieve: matrix is 929099 x 929325 (322.5 MB)

Sieving start time : 2022/08/02 07:29:59
Sieving end time  : 2022/08/02 10:17:31

Total sieving time: 2hrs 47min 32secs.

Total relation processing time: 0hrs 13min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 51sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8800000,8800000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62078ebinaJuly 29, 2022 05:03:21 UTC 2022 年 7 月 29 日 (金) 14 時 3 分 21 秒 (日本時間)

11×10186+43

c174

name 名前Bob Backstrom
date 日付August 6, 2022 10:16:28 UTC 2022 年 8 月 6 日 (土) 19 時 16 分 28 秒 (日本時間)
composite number 合成数
557059978500394493923892882351208618308263631308610304325569162085653694733785057651145649044322527628835417573319766836365404018714147598143200491036414879907555672350205351<174>
prime factors 素因数
80936964237442841918926465757784828966164497785803<50>
6882639888322978348136733052254669493026157292961743839118994645391165274144379429428350201046715966980523952659234491408917<124>
factorization results 素因数分解の結果
Number: n
N=557059978500394493923892882351208618308263631308610304325569162085653694733785057651145649044322527628835417573319766836365404018714147598143200491036414879907555672350205351  ( 174 digits)
SNFS difficulty: 186 digits.
Divisors found:

Sat Aug  6 16:59:49 2022  p50 factor: 80936964237442841918926465757784828966164497785803
Sat Aug  6 16:59:49 2022  p124 factor: 6882639888322978348136733052254669493026157292961743839118994645391165274144379429428350201046715966980523952659234491408917
Sat Aug  6 16:59:49 2022  elapsed time 00:20:11 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 11x10^186+4 = 36(185)8
#
n: 557059978500394493923892882351208618308263631308610304325569162085653694733785057651145649044322527628835417573319766836365404018714147598143200491036414879907555672350205351
m: 10000000000000000000000000000000000000
deg: 5
c5: 55
c0: 2
skew: 0.52
# Murphy_E = 5.743e-11
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 15350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1823221 hash collisions in 12821115 relations (11644726 unique)
Msieve: matrix is 886812 x 887037 (307.0 MB)

Sieving start time : 2022/08/06 12:04:11
Sieving end time  : 2022/08/06 16:39:00

Total sieving time: 4hrs 34min 49secs.

Total relation processing time: 0hrs 12min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 47sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,51,51,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10188+43

c128

name 名前Eric Jeancolas
date 日付August 9, 2022 04:39:05 UTC 2022 年 8 月 9 日 (火) 13 時 39 分 5 秒 (日本時間)
composite number 合成数
10752056060182396089941346903972169730561191271770335172680470745189485959112994895250653289131195072332236926389717201185369027<128>
prime factors 素因数
8843433863979926008821284807330355913052418849653499717074929<61>
1215823652391007752010290522183558432215753884513860995483151096563<67>
factorization results 素因数分解の結果
10752056060182396089941346903972169730561191271770335172680470745189485959112994895250653289131195072332236926389717201185369027=8843433863979926008821284807330355913052418849653499717074929*1215823652391007752010290522183558432215753884513860995483151096563

cado polynomial
n: 10752056060182396089941346903972169730561191271770335172680470745189485959112994895250653289131195072332236926389717201185369027
skew: 169591.93
c0: 10433370241864715440576411046560
c1: -18004686013420568997633532
c2: -1088616454144176075407
c3: 2372573472478773
c4: 12487699998
c5: 71280
Y0: -3132444918026104339968217
Y1: 5623245746984587
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 6.249e-07
# f(x) = 71280*x^5+12487699998*x^4+2372573472478773*x^3-1088616454144176075407*x^2-18004686013420568997633532*x+10433370241864715440576411046560
# g(x) = 5623245746984587*x-3132444918026104339968217

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 8843433863979926008821284807330355913052418849653499717074929 1215823652391007752010290522183558432215753884513860995483151096563
Info:Square Root: Total cpu/real time for sqrt: 1064.65/309.351
Info:Square Root: Total cpu/real time for sqrt: 1064.65/309.351
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 100.73/118.924
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 118.8s
Info:Quadratic Characters: Total cpu/real time for characters: 55.13/22.498
Info:Generate Free Relations: Total cpu/real time for freerel: 251.32/64.1021
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38235/37.240/45.305/50.350/0.867
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30208/36.480/40.577/46.100/0.882
Info:Polynomial Selection (size optimized): Total time: 4851.87
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 274.57/236.448
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 219.2s
Info:Linear Algebra: Total cpu/real time for bwc: 33005.7/8471.58
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 21022.72, WCT time 5370.81, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (45056 iterations)
Info:Linear Algebra: Lingen CPU time 286.93, WCT time 72.88
Info:Linear Algebra: Mksol: CPU time 11443.14,  WCT time 2935.53, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (22528 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 40.63/10.7513
Info:Filtering - Singleton removal: Total cpu/real time for purge: 129.96/139.228
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 4730.55
Info:Polynomial Selection (root optimized): Rootsieve time: 4728.11
Info:Filtering - Merging: Merged matrix has 1439383 rows and total weight 245531021 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 352.09/100.216
Info:Filtering - Merging: Total cpu/real time for replay: 56.58/47.8305
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23256331
Info:Lattice Sieving: Average J: 7984.3 for 42487 special-q, max bucket fill -bkmult 1.0,1s:1.075060
Info:Lattice Sieving: Total time: 64253.9s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 166047/42516.6
8843433863979926008821284807330355913052418849653499717074929 1215823652391007752010290522183558432215753884513860995483151096563
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-122-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.9)]
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 JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 28, 2022 09:44:46 UTC 2022 年 7 月 28 日 (木) 18 時 44 分 46 秒 (日本時間)
4511e64480Ignacio SantosAugust 5, 2022 09:31:24 UTC 2022 年 8 月 5 日 (金) 18 時 31 分 24 秒 (日本時間)

11×10190+43

c182

name 名前Bob Backstrom
date 日付August 11, 2022 05:44:45 UTC 2022 年 8 月 11 日 (木) 14 時 44 分 45 秒 (日本時間)
composite number 合成数
13488388847370238303892960274044743951290326033198041506932199756578136538772525056964274139759105252405054408111641202994360915160422330597486366342430960752172323049261345637251331<182>
prime factors 素因数
21784627483043899488848546903278529358415342512449314969137409<62>
619170048139172812279450645490335048844328317695769181427339124366431828998733265872459959425554961221099569172669113859<120>
factorization results 素因数分解の結果
Number: n
N=13488388847370238303892960274044743951290326033198041506932199756578136538772525056964274139759105252405054408111641202994360915160422330597486366342430960752172323049261345637251331  ( 182 digits)
SNFS difficulty: 191 digits.
Divisors found:

Thu Aug 11 15:33:54 2022  p62 factor: 21784627483043899488848546903278529358415342512449314969137409
Thu Aug 11 15:33:54 2022  p120 factor: 619170048139172812279450645490335048844328317695769181427339124366431828998733265872459959425554961221099569172669113859
Thu Aug 11 15:33:54 2022  elapsed time 00:31:55 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.353).
Factorization parameters were as follows:
#
# N = 11x10^190+4 = 36(189)8
#
n: 13488388847370238303892960274044743951290326033198041506932199756578136538772525056964274139759105252405054408111641202994360915160422330597486366342430960752172323049261345637251331
m: 100000000000000000000000000000000000000
deg: 5
c5: 11
c0: 4
skew: 0.82
# Murphy_E = 4.814e-11
type: snfs
lss: 1
rlim: 10700000
alim: 10700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10700000/10700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 10950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3012741 hash collisions in 28567271 relations (27295648 unique)
Msieve: matrix is 1128640 x 1128866 (390.1 MB)

Sieving start time : 2022/08/11 11:59:14
Sieving end time  : 2022/08/11 15:01:27

Total sieving time: 3hrs 2min 13secs.

Total relation processing time: 0hrs 21min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 27sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10700000,10700000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10191+43

c138

composite cofactor 合成数の残り
659276201967535021944654198421782751079990802927500675975998721057948692532471580982159946597449059498971536374317808523587009024121643923<138>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosAugust 13, 2022 08:50:42 UTC 2022 年 8 月 13 日 (土) 17 時 50 分 42 秒 (日本時間)

11×10192+43

c95

name 名前Dmitry Domanov
date 日付July 28, 2022 00:07:54 UTC 2022 年 7 月 28 日 (木) 9 時 7 分 54 秒 (日本時間)
composite number 合成数
33315396301766455334738217953734953824870201523203778409376212062654860419852704173793781532111<95>
prime factors 素因数
1349744468640124257922941958704994433909<40>
24682743345732632828281895765587277777971759289656313779<56>
factorization results 素因数分解の結果
N=33315396301766455334738217953734953824870201523203778409376212062654860419852704173793781532111
  ( 95 digits)
Divisors found:
p40 factor: 1349744468640124257922941958704994433909
p56 factor: 24682743345732632828281895765587277777971759289656313779
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.12 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 33315396301766455334738217953734953824870201523203778409376212062654860419852704173793781532111
skew: 198021.62
c0: 9232907516155183450799924
c1: -84625203432820745254
c2: -1038563710568636
c3: 4938551521
c4: 16380
Y0: -37763754088146699031641
Y1: 8780611996889
rlim: 1500000
alim: 1500000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 50/50
Sieved algebraic special-q in [750000, 950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 116144 x 116369
Total sieving time: 1.09 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,94,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,25,25,50,50,2.5,2.5,60000
total time: 1.12 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 JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10193+43

c117

name 名前Ignacio Santos
date 日付July 28, 2022 09:43:09 UTC 2022 年 7 月 28 日 (木) 18 時 43 分 9 秒 (日本時間)
composite number 合成数
480208889034650872142937669359434760440652492411823506387332468386782833567582818735559277421334037837252556320352271<117>
prime factors 素因数
59518915046628065350454921607779009921<38>
8068172759171560594972639268577468493925782607392240292601588531379179225470351<79>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1171555013
Step 1 took 4906ms
Step 2 took 2937ms
********** Factor found in step 2: 59518915046628065350454921607779009921
Found prime factor of 38 digits: 59518915046628065350454921607779009921
Prime cofactor 8068172759171560594972639268577468493925782607392240292601588531379179225470351 has 79 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 JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10195+43

c186

name 名前Bob Backstrom
date 日付August 14, 2022 22:43:40 UTC 2022 年 8 月 15 日 (月) 7 時 43 分 40 秒 (日本時間)
composite number 合成数
165011491984442478199108158717015934847939219848975120892790901918889424252373497143743270170185828143529747039679147776315325727439911990608314409768929318819772397571761184852947753661<186>
prime factors 素因数
1352418148986303001334601881955895083427467603812272080383565491201<67>
122012183959617713559658354012216010271804625638087967935300665994284751097932517851138522498618983562877057146184310461<120>
factorization results 素因数分解の結果
Number: n
N=165011491984442478199108158717015934847939219848975120892790901918889424252373497143743270170185828143529747039679147776315325727439911990608314409768929318819772397571761184852947753661  ( 186 digits)
SNFS difficulty: 196 digits.
Divisors found:

Mon Aug 15 08:39:28 2022  p67 factor: 1352418148986303001334601881955895083427467603812272080383565491201
Mon Aug 15 08:39:28 2022  p120 factor: 122012183959617713559658354012216010271804625638087967935300665994284751097932517851138522498618983562877057146184310461
Mon Aug 15 08:39:28 2022  elapsed time 00:52:22 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.355).
Factorization parameters were as follows:
#
# N = 11x10^195+4 = 36(194)8
#
n: 165011491984442478199108158717015934847939219848975120892790901918889424252373497143743270170185828143529747039679147776315325727439911990608314409768929318819772397571761184852947753661
m: 1000000000000000000000000000000000000000
deg: 5
c5: 11
c0: 4
skew: 0.82
# Murphy_E = 2.987e-11
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3079554 hash collisions in 28637309 relations (27285349 unique)
Msieve: matrix is 1423769 x 1423994 (495.8 MB)

Sieving start time : 2022/08/15 02:37:42
Sieving end time  : 2022/08/15 07:46:07

Total sieving time: 5hrs 8min 25secs.

Total relation processing time: 0hrs 37min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 28sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13000000,13000000,28,28,55,55,2.5,2.5,100000
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 JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosAugust 14, 2022 15:51:52 UTC 2022 年 8 月 15 日 (月) 0 時 51 分 52 秒 (日本時間)

11×10196+43

c168

name 名前Bob Backstrom
date 日付August 17, 2022 00:46:16 UTC 2022 年 8 月 17 日 (水) 9 時 46 分 16 秒 (日本時間)
composite number 合成数
329275823406462091770684786531492923988338156053942485800139783033770239732402310074606226106929313756584724960102225072390318953641136419573930594488486885571391356307<168>
prime factors 素因数
312441325932153073312928579256165380287072735770735393888821192498879<69>
1053880508361319159676107529368462002920578002224478832368583474657659628663081236534998804770482733<100>
factorization results 素因数分解の結果
Number: n
N=329275823406462091770684786531492923988338156053942485800139783033770239732402310074606226106929313756584724960102225072390318953641136419573930594488486885571391356307  ( 168 digits)
SNFS difficulty: 196 digits.
Divisors found:

Wed Aug 17 09:41:44 2022  p69 factor: 312441325932153073312928579256165380287072735770735393888821192498879
Wed Aug 17 09:41:44 2022  p100 factor: 1053880508361319159676107529368462002920578002224478832368583474657659628663081236534998804770482733
Wed Aug 17 09:41:44 2022  elapsed time 00:58:37 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.357).
Factorization parameters were as follows:
#
# N = 11x10^196+4 = 36(195)8
#
n: 329275823406462091770684786531492923988338156053942485800139783033770239732402310074606226106929313756584724960102225072390318953641136419573930594488486885571391356307
m: 1000000000000000000000000000000000000000
deg: 5
c5: 55
c0: 2
skew: 0.52
# Murphy_E = 2.219e-11
type: snfs
lss: 1
rlim: 13300000
alim: 13300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13300000/13300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3812977 hash collisions in 30606385 relations (28524853 unique)
Msieve: matrix is 1553333 x 1553558 (540.1 MB)

Sieving start time : 2022/08/17 02:25:34
Sieving end time  : 2022/08/17 08:42:35

Total sieving time: 6hrs 17min 1secs.

Total relation processing time: 0hrs 46min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 52sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13300000,13300000,28,28,55,55,2.5,2.5,100000
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 JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosAugust 14, 2022 14:52:53 UTC 2022 年 8 月 14 日 (日) 23 時 52 分 53 秒 (日本時間)

11×10197+43

c158

name 名前Ignacio Santos
date 日付August 17, 2022 07:52:45 UTC 2022 年 8 月 17 日 (水) 16 時 52 分 45 秒 (日本時間)
composite number 合成数
12248145688622884845529070666940531288292947496138646117363972166368021441417626828531992935362624246344920394519350511771657022746293335673185077764580362609<158>
prime factors 素因数
20891998279543778280662017904517791483<38>
586260132934031117072997781473959921638575202258452751320989766540469821640926075374280223668481684569931536639934299523<120>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4121765244
Step 1 took 7203ms
********** Factor found in step 1: 20891998279543778280662017904517791483
Found prime factor of 38 digits: 20891998279543778280662017904517791483
Prime cofactor 586260132934031117072997781473959921638575202258452751320989766540469821640926075374280223668481684569931536639934299523 has 120 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 JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10198+43

c167

name 名前Bob Backstrom
date 日付August 21, 2022 18:25:01 UTC 2022 年 8 月 22 日 (月) 3 時 25 分 1 秒 (日本時間)
composite number 合成数
46440444655857601675398326949798073072942327568434675365830921596006457751877696285144953506369578561277774848280195227433416378592746681262364329082905314737538695589<167>
prime factors 素因数
260357660839389970216403851917520705601131463<45>
178371723367517460828650935487987458777638560068801544021526991615341249934862621677662662352322492961045247149624699332403<123>
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 46440444655857601675398326949798073072942327568434675365830921596006457751877696285144953506369578561277774848280195227433416378592746681262364329082905314737538695589 (167 digits)
Using B1=21060000, B2=96186180106, polynomial Dickson(12), sigma=1:3047442905
Step 1 took 53829ms
********** Factor found in step 1: 260357660839389970216403851917520705601131463
Found prime factor of 45 digits: 260357660839389970216403851917520705601131463
Prime cofactor 178371723367517460828650935487987458777638560068801544021526991615341249934862621677662662352322492961045247149624699332403 has 123 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosAugust 19, 2022 15:16:11 UTC 2022 年 8 月 20 日 (土) 0 時 16 分 11 秒 (日本時間)

11×10201+43

c187

name 名前Bob Backstrom
date 日付November 5, 2022 10:15:31 UTC 2022 年 11 月 5 日 (土) 19 時 15 分 31 秒 (日本時間)
composite number 合成数
2667367537393003583543646570516099231026278205227565785303806391729985528440991070407768371071288411066060500645248318257977009893973617454139305707670999632574630687786701593746186519407<187>
prime factors 素因数
128460973454225741127815325264882378769<39>
20764030239452152983677958508022410387133619848972983197303256742624426114043147088912623214180005884806299188607665182582116287494377041204618539903<149>
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 2667367537393003583543646570516099231026278205227565785303806391729985528440991070407768371071288411066060500645248318257977009893973617454139305707670999632574630687786701593746186519407 (187 digits)
Using B1=25860000, B2=96191014936, polynomial Dickson(12), sigma=1:548460356
Step 1 took 71178ms
Step 2 took 22410ms
********** Factor found in step 2: 128460973454225741127815325264882378769
Found prime factor of 39 digits: 128460973454225741127815325264882378769
Prime cofactor 20764030239452152983677958508022410387133619848972983197303256742624426114043147088912623214180005884806299188607665182582116287494377041204618539903 has 149 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 3, 2022 13:11:48 UTC 2022 年 11 月 3 日 (木) 22 時 11 分 48 秒 (日本時間)

11×10203+43

c161

composite cofactor 合成数の残り
12737730921202763873945678992305865445657768038822500879742509399117346188030570301306902413833646125831330854007355173602944441881456386514766076490072409803817<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10204+43

c174

composite cofactor 合成数の残り
354249191451057793012087798271308620995290844945030491734470530953073426758421783995871673631776462616821569347668977139089217678784396655739749250752280315880095424570730819<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10207+43

c205

composite cofactor 合成数の残り
7703081232492997198879551820728291316526610644257703081232492997198879551820728291316526610644257703081232492997198879551820728291316526610644257703081232492997198879551820728291316526610644257703081232493<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10209+43

c204

composite cofactor 合成数の残り
308111856928539336920875754733998630862948484817928300690282600195174856279823827242242023544227496350275003837393127200899014378179854414346584383994765459652472233519656976268664575987666562468838687197<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10212+43

c200

composite cofactor 合成数の残り
16464306540604205989986776235867015717620595393035226882272194870430405476104005768288256161436482823228802027802601778274441487842079169278590023656231520528007086665181728165369437759592222720181457<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10213+43

c157

composite cofactor 合成数の残り
1473139850029318279056121668210870325390220215495736446210464461274773341652636428737237827514275114467290563652488974700793904958832482562544763605386911509<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10215+43

c156

composite cofactor 合成数の残り
793995884977446796536746228725332149521540798981473530376811130916950314887974678272892695764115279084811333241401006761627639396783834822930900615684767883<156>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10216+43

c187

composite cofactor 合成数の残り
1827820450209885598702096410982530824638389093169778868559808297103117331102173972366072049666970960618804855645681688344162553627316517185528422008922756487160060869921967236979451188261<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10217+43

c214

composite cofactor 合成数の残り
1203132519578247364046025287658047862799142494640591503696898105613160082250514065712910705691910574441090256814105088156800980006125038281489259307870674191713698210613816336352102200638753992212451327820798879993<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10218+43

c157

composite cofactor 合成数の残り
1092533767478016898372551932263358824279303567515509162849626336911067068312783049223726097396564689721208965530549331061504979284825779234801211650641869631<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10219+43

c144

name 名前Erik Branger
date 日付September 1, 2022 18:25:35 UTC 2022 年 9 月 2 日 (金) 3 時 25 分 35 秒 (日本時間)
composite number 合成数
172861782365871152731879330362047605645803702672403933637603908738666414106636709983336011147857930777398585523367175375439802664008341341032757<144>
prime factors 素因数
3808527899038728549879403979050661287083329920030661858744874173<64>
45388083518963172514594886904374678905316230136962280557453091958930850128552409<80>
factorization results 素因数分解の結果
Number: 36668_219
N = 172861782365871152731879330362047605645803702672403933637603908738666414106636709983336011147857930777398585523367175375439802664008341341032757 (144 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=3808527899038728549879403979050661287083329920030661858744874173 (pp64)
r2=45388083518963172514594886904374678905316230136962280557453091958930850128552409 (pp80)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 22.47 hours.
Factorization parameters were as follows:
n: 172861782365871152731879330362047605645803702672403933637603908738666414106636709983336011147857930777398585523367175375439802664008341341032757
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 11
c0: 40
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30861647
Relations: 6914610 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 11.01 hours.
Total relation processing time: 0.25 hours.
Pruned matrix : 6055116 x 6055341
Matrix solve time: 11.11 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 22.47 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 28, 2022 10:42:04 UTC 2022 年 7 月 28 日 (木) 19 時 42 分 4 秒 (日本時間)
4511e64480Ignacio SantosJuly 30, 2022 10:36:22 UTC 2022 年 7 月 30 日 (土) 19 時 36 分 22 秒 (日本時間)

11×10220+43

c169

name 名前Erik Branger
date 日付September 23, 2022 20:02:42 UTC 2022 年 9 月 24 日 (土) 5 時 2 分 42 秒 (日本時間)
composite number 合成数
4577604354364458996223780933373602896673344380049190233386102164784430564975306983171091958188800334046084437318356678839482033791712947854852025654758347733412689049959<169>
prime factors 素因数
198104328835992624506947664712667582685320715891894629733<57>
23107038504717298412996161530149817989452137428778095935835165004854561386569120918623385957314320533054321941723<113>
factorization results 素因数分解の結果
Number: 36668_220
N = 4577604354364458996223780933373602896673344380049190233386102164784430564975306983171091958188800334046084437318356678839482033791712947854852025654758347733412689049959 (169 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=198104328835992624506947664712667582685320715891894629733 (pp57)
r2=23107038504717298412996161530149817989452137428778095935835165004854561386569120918623385957314320533054321941723 (pp113)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 35.42 hours.
Factorization parameters were as follows:
n: 4577604354364458996223780933373602896673344380049190233386102164784430564975306983171091958188800334046084437318356678839482033791712947854852025654758347733412689049959
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 11
c0: 4
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30453631
Relations: 7079592 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 16.71 hours.
Total relation processing time: 0.38 hours.
Pruned matrix : 6218055 x 6218280
Matrix solve time: 18.14 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 35.42 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10225+43

c151

composite cofactor 合成数の残り
8827037260618514620563986189375283072663424442862341733009908504015579653234417148009379846232587614363950267417298554700927431933682452990725372237839<151>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 29, 2022 09:41:45 UTC 2022 年 7 月 29 日 (金) 18 時 41 分 45 秒 (日本時間)
4511e64480Ignacio SantosJuly 30, 2022 15:55:09 UTC 2022 年 7 月 31 日 (日) 0 時 55 分 9 秒 (日本時間)

11×10227+43

c227

composite cofactor 合成数の残り
91666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10228+43

c217

composite cofactor 合成数の残り
9492990236502108325802062366311752696012894049827391569447196847355443725589670040689907230892866570710055638410839783933916429558111880752069220170099333436078286404609807895050850318801855125121511330906641019327497<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10229+43

c223

composite cofactor 合成数の残り
2528504753542963847071251333096665288401711917247464208555485462338933097878970683412539894058409195371861677365919599249466232646527080331883258843583293957618398614269060305573937018900251223037749288731612828364269818857<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10230+43

c189

composite cofactor 合成数の残り
174832613157595201402300377896474160886222967866823800509089642876979661087722782296045667032735179464051412755410950046217663326297324420465291784422281829721000063994762636233346623772299<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10232+43

c210

composite cofactor 合成数の残り
729173604006533285486414161656630279845506180394208383625578577248604590217846414069309215198471315683265882125154830382167389946089473741890863298025259156006144637573547606507795770625860168958631959556498743<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10233+43

c196

composite cofactor 合成数の残り
3588209468585315963226456928286907104806379746626186216240756765466149448724539454437570335022759095687576662180463253395967242430528285006820551360665605741373531269094446707769445774882897391733<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10234+43

c183

composite cofactor 合成数の残り
611940399032254898189595985881131519221040422204383007737254511067913653546003847286513533554792360111470569979230842133663851355607705586706610838283804216165484303481371729342330161<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10235+43

c223

composite cofactor 合成数の残り
2131858132348507979875014702006021689706807264049531423339957038288516107330264008985297773250835729345856133361254449624290411296364887481226317499090901663205339825923782029383647973859292915598525269463797489167448156151<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10237+43

c219

composite cofactor 合成数の残り
115733579571779533377202869797281829645025502900613960571047784164192869039240065102499499422989327880703468098213354974729291653072161107508910257728811789670221685264584358114381694045931666216579444544532044885838811<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10238+43

c208

composite cofactor 合成数の残り
2363887458842386703488054059171487623144832557579111719524974240992787889861954320817437639634434052768053405575965345681428127461989333662269828348164645539714864424503086817473373889145849740487968152697531<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10239+43

c231

composite cofactor 合成数の残り
957075534659893620601886845530302206901681889022650925704512784811627505798198507509961163858560064266473661770264751071979413145156830799656829604182479947188084759013061342071941084880199705678043416586619479153716782131217401507<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10242+43

c209

composite cofactor 合成数の残り
38594750148107794789694741059990886078426548690719583029398496046032196380504996486492466450094635276262816484057304140330107969253237676943211341243561377666533490439396926749647802223595154794206060159204697<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10243+43

c182

composite cofactor 合成数の残り
74258388283860610575239367603951118952137746655918530754089783949388293934073818765243926050069908672959147366214335457775311352815575003390102787578003118858704440309040662973552901<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10244+43

c196

composite cofactor 合成数の残り
1758906032588190068941045850974918791653146319924135335964627385462685605128207642654960984159646596505190760103166105775271344712551170970782762147682370795386540535090182418481630926444380420341<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10245+43

c173

composite cofactor 合成数の残り
24647814083749604077095704410978449343488402186820335553353461869353778417057824717907607454299387063999650749020163158278206003258739185895159029137057266690527378877477789<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10246+43

c218

composite cofactor 合成数の残り
37402593663338497626222960339120095931280533848994281409832902599734985597505571970186223088382431453901453891972920445419565678149428329695170046849464639992314465702919295877640847703314933854916717316029536132093237<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10247+43

c208

composite cofactor 合成数の残り
4025109501398204576614794576031693856411533722695862649983981528779276079771303846993274438087280829375112483302705840649402706621462418464041997765027783311511417411568708946134501126462602219408582029999277<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10251+43

c231

composite cofactor 合成数の残り
335629485114784633350133273667584135723929008815830704854370844200181935144145519607456039440452502938667883467244385143039592970903388176160506093851437908638317889919281821552305969028321421357243675728147200181172982392289208757<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10252+43

c213

composite cofactor 合成数の残り
509705075706781934553813215585830897917650412224492527846193205117776663602628270852390079389435368740342332388780690204735382967159447057328189494243564778428694669238353663355985254883508930961389871549501994627<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10253+43

c252

composite cofactor 合成数の残り
482456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877193<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10255+43

c205

composite cofactor 合成数の残り
6793341547169573813803828348395661887622925720826366520159964525474941216734612672245286980686173710656075607044987887557327724116703733274648585508023091893567568257725888919177437285253857073755839131567<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10259+43

c207

composite cofactor 合成数の残り
382318101285780104854269022497093717263074296020257703568443436598470421956237772415387775173435915977477827901233668135799788950056682850178789026903702611837611973505266415322191225041758056037697024008493<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10260+43

c259

composite cofactor 合成数の残り
2956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827956989247311827957<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10261+43

c232

composite cofactor 合成数の残り
5542600565906243825390318456164237325549807254304229936093094506152430111658504547444773956488815863318656924503750489061747058966757525049172076759317958341978347741850589053062369740302586379849767220438058228756666235074399510727<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10262+43

c206

composite cofactor 合成数の残り
10461503722910421883020666480694011023099447125231893062061275651775349026920103174068207695854264986717699632160182319601199292199496238727991414881066105018971024423195341894584664718429896904999925738653<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10263+43

c232

composite cofactor 合成数の残り
4896555285875177331964456771999921885722695187177212663745328909559936904633882551554790136969192053420724317181597869328080068929844072745666383947236771609625907034304792393685139342822534790074520993975794726953798802080442746039<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10265+43

c234

composite cofactor 合成数の残り
102418437233438986914688568952926664368643752217015600410483462333396414101925127240696211234099881991893454614858006931927810913279884162571403166132052973106559485833954196483778117982924582893393477269025671876952066617652392880627<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10266+43

c229

composite cofactor 合成数の残り
3346004901669529723196344912025025847625057722032034918243415517646887805462468007812270950842094628879271918464917957142825705686542355423019165231267938478047275322528806159867754447659892793503527314047857807712015137482007741<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10267+43

c247

composite cofactor 合成数の残り
1158640585029612906133643266207644522922959430717990657145266516226177226584532332699680278807271195938975211509151312781976448456403904978032543565621535618272377280848739571569702584162331438075464784244554846254690990538358007410240116026348791<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10268+43

c211

composite cofactor 合成数の残り
3555413391519859400276978516506764804812517414343452814927004408791508613873467263874492248559584531258315810346604271484316760653238988972326637942340901467936787201912944193906604908339132547531761067025751981<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10269+43

c253

composite cofactor 合成数の残り
6862300034708327258952212073306863887801641642693143799183854604330248902764966681133888962831423190662397942860677678633415186688918389601962003492734469375502398873993431654756301154698871681832639245438659831265436653430638290600888559422541014570103<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10270+43

c265

composite cofactor 合成数の残り
2045551075178836951727226136043279397730256526981562518363469879446377180278507357661258229623893821766299880762968235939067868409327415368113652305410445402010293213010299907541091401916569781929378650843771222592404980433374169971161449023751451411467433711128021<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10271+43

c197

composite cofactor 合成数の残り
24638078425593660256929530188421970327058651226062595582958879960529141390586004199114179360180221956627764474368008533593893967522658572937472824601142408348217452485814936723682832824898786110001<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10273+43

c262

composite cofactor 合成数の残り
1776797217110218854387477181958268199292336360939855774427394672546856094922827417359097670929156181628581593544701273574614717598299446555339614577411935577777895983293895400449326182350967260431454776404464942872294823893111871896210458118696932229718262814883<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10274+43

c274

composite cofactor 合成数の残り
9166666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10275+43

c258

composite cofactor 合成数の残り
505243565141661587564093504846372652575102605434841444582693952292799861542684027164779286240980692830354695409685967529000451208705521995330576539840494040693225769425502448398056178040784333882994871132538841702748342038970711078182260757353921603096326977<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10277+43

c239

name 名前anonymous
date 日付July 28, 2022 04:49:23 UTC 2022 年 7 月 28 日 (木) 13 時 49 分 23 秒 (日本時間)
composite number 合成数
14122760946171375978545981023404636289550415998479578258087372495597917420491873740393086125043184485018964326723536374921413821204233441090427197102405870745379097993951082834433672355453178278289360667976098908934387739191516830789252507<239>
prime factors 素因数
27707653166603870803251829696007783471435250191<47>
509706140078062911692888899933437765685350213254522341808300157642948886296064839866716530240805459644129866016741123397876076134703326647241158032092860940839793954154133073840635501234685877<192>
factorization results 素因数分解の結果
p47:27707653166603870803251829696007783471435250191
p192:509706140078062911692888899933437765685350213254522341808300157642948886296064839866716530240805459644129866016741123397876076134703326647241158032092860940839793954154133073840635501234685877
software ソフトウェア
ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10279+43

c195

composite cofactor 合成数の残り
619230873814250591060802338434448559793758970106575354796762319904702908235195881199330289356489934516673425251609566590827995801012914214824379737185949081328882086784818237870644291994084532581<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10280+43

c250

composite cofactor 合成数の残り
5712066845596884307760434893975521663158595002147251403947173616844181739097840925367027231706839338089402949969712444176931830542559498411344342619377123902016617079196736478746829384117193011312483737768223396465626189049211165957867398531108908131<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10281+43

c227

composite cofactor 合成数の残り
23353944991451713022575747477400705946856293222357774200490638728856703667789114475007583858424836830250533689014737450572586576090037758700775328618239311994615272378272139840887188651794286274469111799539777472639249391000979<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10284+43

c282

composite cofactor 合成数の残り
111381125961927906034831915755366545159983799108950992304576751721344673957067638720129607128392061563385986229242608343458890238963142972863507492912110166059133252328878088294856217091940056703118671526933981368975293641150263264479546375050627784528149048197650870797893884163629<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10285+43

c266

composite cofactor 合成数の残り
12174328176990881579534175728313991223973206207380935956418902465129888027631120337251955551224078305223166027529127087073516500654825673742290768402305760855935513914522719933148546838283386931358484427826797410141820904299834639867470713568599590302230517980655813<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10286+43

c223

composite cofactor 合成数の残り
2363769112682151106275291829265262274247315419992905352160935465988043475814345312650677784315811153743609707570055306833864119642675820900504712312458518686596989719433808218713907199257872363423784319916279143799102628379<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10287+43

c236

composite cofactor 合成数の残り
66123650584852709565362946737300349357627084718973026951900105149776307909132088791509126317011469330557120429799411202899243984058884002207228232703171183677464988985552152610749753863376337922945504501356970130247574502846059643966471<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10288+43

c250

composite cofactor 合成数の残り
3372718580927119057090682950569743672019151349378787028042290522559588922746538900123106942320642839361735389659423863118506189399340649918178676081671835515651437042494399150708867074013700309915580808605913582790624810950373358889874159786122922067<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10290+43

c239

composite cofactor 合成数の残り
93099358381080269804241646858606029372422060925514569267271364428176511435691538771815811764503679130269747763572899030435022947265885831380033454673853837158744598805930026675073026639698022428343798291496422763369732863859793329444900149<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10294+43

c241

composite cofactor 合成数の残り
6772257213961023222218054727101658599060282838858916112928844063981034026111675062541669342228416200149458294603417922061962509927208590771337516290532298054942404954964168219746994965365873395039198666537321491518313918242190953841215610019<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10295+43

c237

composite cofactor 合成数の残り
587975832991483512760385054901442692404988540695422786463863730672479878385737929615185455360223810950162331423166519365968735375337789632466447360629720612667347887073211620798696073593779631409733556010529942544241483141393233986667091<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10297+43

c238

composite cofactor 合成数の残り
3113880823946628710542266697001232598362025284634907890397372531661485117728297727237526554553681382507656937045157475604340173230029563936050730733431138548025987342643004029607275789503125001382024694369137369172807748511211789344324221<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10299+43

c226

composite cofactor 合成数の残り
2848296517516064268870991888015190133713547327117678640833540047800337363159563976070452288579065643096304775633611774910456826388690473004999196634186672187592295476163845205674024388583503937916151775202516019286979763930489<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10300+43

c270

composite cofactor 合成数の残り
267403684701588579429824476792973334071391357412527258418554453789477148996431713802346811798192065042186330843487571504191959184537424104950721330877228445811136017859216190048364534945471735624211571037126036589944810156273170523492659599993311014983661441027392051343<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJuly 27, 2022 14:00:00 UTC 2022 年 7 月 27 日 (水) 23 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 27, 2022 15:57:26 UTC 2022 年 7 月 28 日 (木) 0 時 57 分 26 秒 (日本時間)
4511e63584Dmitry DomanovJuly 30, 2022 17:37:09 UTC 2022 年 7 月 31 日 (日) 2 時 37 分 9 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovJuly 30, 2022 17:37:09 UTC 2022 年 7 月 31 日 (日) 2 時 37 分 9 秒 (日本時間)