Table of contents 目次

11×10109-83

c105

name 名前Dmitry Domanov
date 日付July 27, 2022 16:17:55 UTC 2022 年 7 月 28 日 (木) 1 時 17 分 55 秒 (日本時間)
composite number 合成数
184343535910120795291530922790223759535588357532612047352826824330665379613615948732386813068951185831691<105>
prime factors 素因数
69430422738741744376097004133301693161<38>
2655083011719274005718894218426887385363309784497970767555461771731<67>
factorization results 素因数分解の結果
N=184343535910120795291530922790223759535588357532612047352826824330665379613615948732386813068951185831691
  ( 105 digits)
SNFS difficulty: 109 digits.
Divisors found:
p38 factor: 69430422738741744376097004133301693161
p67 factor: 2655083011719274005718894218426887385363309784497970767555461771731
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.16 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 184343535910120795291530922790223759535588357532612047352826824330665379613615948732386813068951185831691
m: 1000000000000000000000000000
deg: 4
c4: 55
c0: -4
skew: 0.52
# Murphy_E = 1.388e-07
type: snfs
lss: 1
rlim: 470000
alim: 470000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 470000/470000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [235000, 395001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 44444 x 44674
Total sieving time: 0.15 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,109.000,4,0,0,0,0,0,0,0,0,470000,470000,25,25,44,44,2.2,2.2,20000
total time: 0.16 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)

11×10112-83

c95

name 名前Dmitry Domanov
date 日付July 27, 2022 16:34:04 UTC 2022 年 7 月 28 日 (木) 1 時 34 分 4 秒 (日本時間)
composite number 合成数
96342343451819110033737352736882536974647094963799373970889666660998337388606306614487562325103<95>
prime factors 素因数
2482678605162923120935165887936402444122381<43>
38805805653405043568368406958593832730374617887917163<53>
factorization results 素因数分解の結果
N=96342343451819110033737352736882536974647094963799373970889666660998337388606306614487562325103
  ( 95 digits)
SNFS difficulty: 113 digits.
Divisors found:
p43 factor: 2482678605162923120935165887936402444122381
p53 factor: 38805805653405043568368406958593832730374617887917163
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.21 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 96342343451819110033737352736882536974647094963799373970889666660998337388606306614487562325103
m: 10000000000000000000000000000
deg: 4
c4: 11
c0: -8
skew: 0.92
# Murphy_E = 1.085e-07
type: snfs
lss: 1
rlim: 540000
alim: 540000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 540000/540000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [270000, 470001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 51570 x 51796
Total sieving time: 0.20 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,113.000,4,0,0,0,0,0,0,0,0,540000,540000,25,25,45,45,2.2,2.2,20000
total time: 0.21 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)

11×10113-83

c112

name 名前Dmitry Domanov
date 日付July 27, 2022 16:40:07 UTC 2022 年 7 月 28 日 (木) 1 時 40 分 7 秒 (日本時間)
composite number 合成数
2696078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549<112>
prime factors 素因数
32128685890590013627912194274574677217459513<44>
83914992370173096753547090258239942454736116396563978960998085513773<68>
factorization results 素因数分解の結果
N=2696078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549
  ( 112 digits)
SNFS difficulty: 113 digits.
Divisors found:
p44 factor: 32128685890590013627912194274574677217459513
p68 factor: 83914992370173096753547090258239942454736116396563978960998085513773
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.26 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2696078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549
m: 10000000000000000000000000000
deg: 4
c4: 55
c0: -4
skew: 0.52
# Murphy_E = 9.072e-08
type: snfs
lss: 1
rlim: 550000
alim: 550000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [275000, 515001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 56045 x 56272
Total sieving time: 0.24 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,113.000,4,0,0,0,0,0,0,0,0,550000,550000,25,25,45,45,2.2,2.2,20000
total time: 0.26 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)

11×10117-83

c115

name 名前Dmitry Domanov
date 日付July 27, 2022 17:30:20 UTC 2022 年 7 月 28 日 (木) 2 時 30 分 20 秒 (日本時間)
composite number 合成数
1269621421975992613111726685133887349953831948291782086795937211449676823638042474607571560480147737765466297322253<115>
prime factors 素因数
951094779149635595167655119677452910192375504691<48>
1334905258455049588985676535048214840416636076515127303810834721983<67>
factorization results 素因数分解の結果
N=1269621421975992613111726685133887349953831948291782086795937211449676823638042474607571560480147737765466297322253
  ( 115 digits)
SNFS difficulty: 117 digits.
Divisors found:
p48 factor: 951094779149635595167655119677452910192375504691
p67 factor: 1334905258455049588985676535048214840416636076515127303810834721983
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.58 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1269621421975992613111726685133887349953831948291782086795937211449676823638042474607571560480147737765466297322253
m: 100000000000000000000000000000
deg: 4
c4: 55
c0: -4
skew: 0.52
# Murphy_E = 5.898e-08
type: snfs
lss: 1
rlim: 640000
alim: 640000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 640000/640000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [320000, 570001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 51761 x 51986
Total sieving time: 0.57 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,117.000,4,0,0,0,0,0,0,0,0,640000,640000,25,25,45,45,2.2,2.2,50000
total time: 0.58 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)

11×10120-83

c120

name 名前Dmitry Domanov
date 日付July 27, 2022 21:41:43 UTC 2022 年 7 月 28 日 (木) 6 時 41 分 43 秒 (日本時間)
composite number 合成数
458333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<120>
prime factors 素因数
309798582426344396902527651375088876351289<42>
1479455876601060781743519096416574829372000916021826097785029921696004005804797<79>
factorization results 素因数分解の結果
N=458333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
  ( 120 digits)
SNFS difficulty: 121 digits.
Divisors found:
p42 factor: 309798582426344396902527651375088876351289
p79 factor: 1479455876601060781743519096416574829372000916021826097785029921696004005804797
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.62 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 458333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
m: 1000000000000000000000000000000
deg: 4
c4: 11
c0: -8
skew: 0.92
# Murphy_E = 4.568e-08
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [365000, 615001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 58893 x 59118
Total sieving time: 0.61 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,4,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 0.62 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)

11×10123-83

c99

name 名前Dmitry Domanov
date 日付July 27, 2022 22:27:34 UTC 2022 年 7 月 28 日 (木) 7 時 27 分 34 秒 (日本時間)
composite number 合成数
144365513126342936149435035432661278219426869044584849881593835218150789669633879321211534311555931<99>
prime factors 素因数
61217715017894202991388184821642504146401199<44>
2358230997092006325079054552579147339027237384454286869<55>
factorization results 素因数分解の結果
N=144365513126342936149435035432661278219426869044584849881593835218150789669633879321211534311555931
  ( 99 digits)
SNFS difficulty: 123 digits.
Divisors found:
p44 factor: 61217715017894202991388184821642504146401199
p55 factor: 2358230997092006325079054552579147339027237384454286869
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.86 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 144365513126342936149435035432661278219426869044584849881593835218150789669633879321211534311555931
m: 5000000000000000000000000000000
deg: 4
c4: 11
c0: -5
skew: 0.82
# Murphy_E = 2.775e-08
type: snfs
lss: 1
rlim: 810000
alim: 810000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 810000/810000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [405000, 780001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 77430 x 77657
Total sieving time: 0.85 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,123.000,4,0,0,0,0,0,0,0,0,810000,810000,25,25,46,46,2.2,2.2,75000
total time: 0.86 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)

11×10124-83

c105

name 名前Bob Backstrom
date 日付July 27, 2022 23:21:13 UTC 2022 年 7 月 28 日 (木) 8 時 21 分 13 秒 (日本時間)
composite number 合成数
667961957478488705395075404991566421908927192663434061390621057352091300568716698359152722716666752915197<105>
prime factors 素因数
154181544875333663841113742251253542418036516925787<51>
4332308111315019477487680177546366777841686817050423431<55>
factorization results 素因数分解の結果
CADO


STA:Thu 28 Jul 2022 08:33:33 AEST (667961957478488705395075404991566421908927192663434061390621057352091300568716698359152722716666752915197 - C105)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 667961957478488705395075404991566421908927192663434061390621057352091300568716698359152722716666752915197 2>&1 | tee -a log183

Debug:root: Looking for parameter file for c105 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.c105
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c105
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.eo5wik_1
Info:Database: Opened connection to database /tmp/cado.eo5wik_1/c105.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 667961957478488705395075404991566421908927192663434061390621057352091300568716698359152722716666752915197
Debug:root: Root parameter dictionary:
N = 667961957478488705395075404991566421908927192663434061390621057352091300568716698359152722716666752915197
lim0 = 823116
lim1 = 1218966
lpb0 = 24
lpb1 = 24
name = c105
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 667961957478488705395075404991566421908927192663434061390621057352091300568716698359152722716666752915197
skew: 2162846.656
c0: 74795826977377268242051065160
c1: 16937729124799149180242
c2: -59478437570347649
c3: 2298384044
c4: 4260
Y0: -19899113058500465940840989
Y1: 616344603989359
# MurphyE (Bf=1.22e+06,Bg=8.23e+05,area=2.56e+12) = 4.12e-09
# f(x) = 4260*x^4+2298384044*x^3-59478437570347649*x^2+16937729124799149180242*x+74795826977377268242051065160
# g(x) = 616344603989359*x-19899113058500465940840989
===
Info:Square Root: finished
Info:Square Root: Factors: 154181544875333663841113742251253542418036516925787 4332308111315019477487680177546366777841686817050423431
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11429.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11579/34.740/39.893/43.680/0.689
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11579/34.740/38.775/40.730/1.015
Info:Polynomial Selection (size optimized): Total time: 234.3
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 75.71
Info:Polynomial Selection (root optimized): Rootsieve time: 75.38
Info:Generate Factor Base: Total cpu/real time for makefb: 0.7/0.148387
Info:Generate Free Relations: Total cpu/real time for freerel: 10.97/1.26632
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2121207
Info:Lattice Sieving: Average J: 1024 for 226303 special-q, max bucket fill: 0.832272
Info:Lattice Sieving: Total CPU time: 16481s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 5.86/9.18604
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 8.499999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 37.75/34.0318
Info:Filtering - Singleton removal: Total cpu/real time for purge: 30.25/29.4677
Info:Filtering - Merging: Total cpu/real time for merge: 104.23/89.3934
Info:Filtering - Merging: Total cpu/real time for replay: 11.37/9.67884
Info:Linear Algebra: Total cpu/real time for bwc: 3043.83/0.000242233
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 117.98
Info:Linear Algebra: Lingen CPU time 1874.39, WCT time 247.45
Info:Linear Algebra: Mksol: WCT time 65.88
Info:Quadratic Characters: Total cpu/real time for characters: 7.76/2.57153
Info:Square Root: Total cpu/real time for sqrt: 184.98/31.2245
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 20228.7/2681.95
Info:root: Cleaning up computation data in /tmp/cado.eo5wik_1
154181544875333663841113742251253542418036516925787 4332308111315019477487680177546366777841686817050423431

END:Thu 28 Jul 2022 09:18:16 AEST (667961957478488705395075404991566421908927192663434061390621057352091300568716698359152722716666752915197 - C105)

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)

11×10129-83

c93

name 名前Ignacio Santos
date 日付July 28, 2022 10:50:10 UTC 2022 年 7 月 28 日 (木) 19 時 50 分 10 秒 (日本時間)
composite number 合成数
189594651896325554252179767259463355102861474462412435060990129703454059779137251041220156441<93>
prime factors 素因数
18539725509050018613931292041683065399<38>
10226400159148874262370957318851768642255565478734042159<56>
factorization results 素因数分解の結果
prp38 = 18539725509050018613931292041683065399
prp56 = 10226400159148874262370957318851768642255565478734042159
software ソフトウェア
Yafu

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)

11×10133-83

c125

name 名前Bob Backstrom
date 日付July 28, 2022 17:55:02 UTC 2022 年 7 月 29 日 (金) 2 時 55 分 2 秒 (日本時間)
composite number 合成数
23529810347110376120835456941498633403160740771204952569540938414116554164311739074917822650740397311988006621223603837355099<125>
prime factors 素因数
197205216184963691756955172613264685342574317148790801<54>
119316369020590104572852238827491942504919815120898609052211863784425899<72>
factorization results 素因数分解の結果
Number: n
N=23529810347110376120835456941498633403160740771204952569540938414116554164311739074917822650740397311988006621223603837355099  ( 125 digits)
SNFS difficulty: 133 digits.
Divisors found:

Fri Jul 29 03:39:49 2022  p54 factor: 197205216184963691756955172613264685342574317148790801
Fri Jul 29 03:39:49 2022  p72 factor: 119316369020590104572852238827491942504919815120898609052211863784425899
Fri Jul 29 03:39:49 2022  elapsed time 00:02:50 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.337).
Factorization parameters were as follows:
#
# N = 11x10^133-8 = 36(132)4
#
n: 23529810347110376120835456941498633403160740771204952569540938414116554164311739074917822650740397311988006621223603837355099
m: 1000000000000000000000000000000000
deg: 4
c4: 55
c0: -4
skew: 0.52
# Murphy_E = 1.001e-08
type: snfs
lss: 1
rlim: 1190000
alim: 1190000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1190000/1190000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved  special-q in [100000, 6195000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 392727 hash collisions in 5714064 relations (5956226 unique)
Msieve: matrix is 180925 x 181150 (60.5 MB)

Sieving start time : 2022/07/29 03:29:47
Sieving end time  : 2022/07/29 03:34:48

Total sieving time: 0hrs 5min 1secs.

Total relation processing time: 0hrs 1min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 16sec.

Prototype def-par.txt line would be:
snfs,133,4,0,0,0,0,0,0,0,0,1190000,1190000,26,26,47,47,2.3,2.3,100000
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)

11×10134-83

c104

name 名前Bob Backstrom
date 日付July 28, 2022 13:38:46 UTC 2022 年 7 月 28 日 (木) 22 時 38 分 46 秒 (日本時間)
composite number 合成数
42954801818255194740744004240932401163884667008368109140691047597803296558699750325275819185588462105751<104>
prime factors 素因数
66481502991746493951679954405935271933333<41>
646116587099240549665182684885359494426618992507117034616282747<63>
factorization results 素因数分解の結果
Info:Square Root: finished
Info:Square Root: Factors: 66481502991746493951679954405935271933333 646116587099240549665182684885359494426618992507117034616282747
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11429.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11398/34.650/39.457/40.330/0.673
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11398/34.020/38.280/40.270/1.029
Info:Polynomial Selection (size optimized): Total time: 231.3
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 81.74
Info:Polynomial Selection (root optimized): Rootsieve time: 81.38
Info:Generate Factor Base: Total cpu/real time for makefb: 1.18/0.138543
Info:Generate Free Relations: Total cpu/real time for freerel: 12.99/0.870962
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 1985556
Info:Lattice Sieving: Average J: 949.494 for 200870 special-q, max bucket fill: 0.809008
Info:Lattice Sieving: Total CPU time: 13688.7s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 5.27/4.70659
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 4.199999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 32.08/17.1148
Info:Filtering - Singleton removal: Total cpu/real time for purge: 25.02/14.4856
Info:Filtering - Merging: Total cpu/real time for merge: 80.1/61.8936
Info:Filtering - Merging: Total cpu/real time for replay: 8.58/6.60537
Info:Linear Algebra: Total cpu/real time for bwc: 1507.56/0.000319958
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 59.96
Info:Linear Algebra: Lingen CPU time 50.55, WCT time 5.2
Info:Linear Algebra: Mksol: WCT time 34.74
Info:Quadratic Characters: Total cpu/real time for characters: 7.76/1.83831
Info:Square Root: Total cpu/real time for sqrt: 134.01/19.8318
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 15816.3/1229.74
Info:root: Cleaning up computation data in /tmp/cado.7xds8mcs
66481502991746493951679954405935271933333 646116587099240549665182684885359494426618992507117034616282747

END:Thu 28 Jul 2022 23:37:00 AEST (42954801818255194740744004240932401163884667008368109140691047597803296558699750325275819185588462105751 - C104)

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)

11×10135-83

c100

name 名前Bob Backstrom
date 日付July 27, 2022 20:21:37 UTC 2022 年 7 月 28 日 (木) 5 時 21 分 37 秒 (日本時間)
composite number 合成数
6880366503295447036140008226090906934204913899116968317232768549559005764195482815128935081413187793<100>
prime factors 素因数
514819485129912059544285506483500014683189<42>
13364619448230911070886755570423908150461605177770601848237<59>
factorization results 素因数分解の結果
CADO


STA:Thu 28 Jul 2022 06:05:52 AEST (6880366503295447036140008226090906934204913899116968317232768549559005764195482815128935081413187793 - C100)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 6880366503295447036140008226090906934204913899116968317232768549559005764195482815128935081413187793 2>&1 | tee -a log177

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.cxmn2l0k
Info:Database: Opened connection to database /tmp/cado.cxmn2l0k/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 6880366503295447036140008226090906934204913899116968317232768549559005764195482815128935081413187793
Debug:root: Root parameter dictionary:
N = 6880366503295447036140008226090906934204913899116968317232768549559005764195482815128935081413187793
lim0 = 919082
lim1 = 1051872
lpb0 = 24
lpb1 = 25
name = c100
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 6880366503295447036140008226090906934204913899116968317232768549559005764195482815128935081413187793
skew: 364835.262
c0: -470184982977080422362207834
c1: -822803480105663956389
c2: 13130483386178387
c3: -12365743234
c4: -33120
Y0: -802855520559631276849459
Y1: 8161995206887
# MurphyE (Bf=1.05e+06,Bg=9.19e+05,area=2.21e+12) = 9.17e-09
# f(x) = -33120*x^4-12365743234*x^3+13130483386178387*x^2-822803480105663956389*x-470184982977080422362207834
# g(x) = 8161995206887*x-802855520559631276849459
===
Info:Square Root: finished
Info:Square Root: Factors: 514819485129912059544285506483500014683189 13364619448230911070886755570423908150461605177770601848237
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 80.83/11.992
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): 2906/32.850/37.984/38.820/0.695
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 2906/32.850/36.686/38.810/0.979
Info:Polynomial Selection (size optimized): Total time: 53.95
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 36.45
Info:Polynomial Selection (root optimized): Rootsieve time: 36.25
Info:Generate Factor Base: Total cpu/real time for makefb: 1/0.116286
Info:Generate Free Relations: Total cpu/real time for freerel: 26/1.71966
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2692631
Info:Lattice Sieving: Average J: 1007.16 for 95039 special-q, max bucket fill: 0.794334
Info:Lattice Sieving: Total CPU time: 7557.01s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 6.31/5.31977
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 5.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 28.08/8.783
Info:Filtering - Singleton removal: Total cpu/real time for purge: 21.27/9.0901
Info:Filtering - Merging: Total cpu/real time for merge: 55.39/43.2089
Info:Filtering - Merging: Total cpu/real time for replay: 5.87/4.56874
Info:Linear Algebra: Total cpu/real time for bwc: 807.03/0.000322104
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 31.9
Info:Linear Algebra: Lingen CPU time 32.29, WCT time 3.43
Info:Linear Algebra: Mksol: WCT time 17.86
Info:Quadratic Characters: Total cpu/real time for characters: 5.53/1.26014
Info:Square Root: Total cpu/real time for sqrt: 80.83/11.992
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 8684.72/724.18
Info:root: Cleaning up computation data in /tmp/cado.cxmn2l0k
514819485129912059544285506483500014683189 13364619448230911070886755570423908150461605177770601848237

END:Thu 28 Jul 2022 06:17:56 AEST (6880366503295447036140008226090906934204913899116968317232768549559005764195482815128935081413187793 - 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)

11×10136-83

c92

name 名前Dmitry Domanov
date 日付July 27, 2022 18:06:10 UTC 2022 年 7 月 28 日 (木) 3 時 6 分 10 秒 (日本時間)
composite number 合成数
73858151830454924630999318880734964928327301911907396308325250726849306234366667758278684489<92>
prime factors 素因数
1797287787191912420922981208564667570816890037<46>
41094226732520734640035348407547763859107225797<47>
factorization results 素因数分解の結果
PRP46 = 1797287787191912420922981208564667570816890037
PRP47 = 41094226732520734640035348407547763859107225797

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)

11×10146-83

c84

name 名前Dmitry Domanov
date 日付July 27, 2022 17:57:48 UTC 2022 年 7 月 28 日 (木) 2 時 57 分 48 秒 (日本時間)
composite number 合成数
884591875687381110219823808094823451378167238502826245412584114662511834242417312213<84>
prime factors 素因数
2265901483759183995763854012334884497<37>
390392910736711433772800808651785137301407879429<48>
factorization results 素因数分解の結果
P37 = 2265901483759183995763854012334884497
P48 = 390392910736711433772800808651785137301407879429

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)

11×10149-83

c149

name 名前Bob Backstrom
date 日付August 1, 2022 09:57:17 UTC 2022 年 8 月 1 日 (月) 18 時 57 分 17 秒 (日本時間)
composite number 合成数
45833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<149>
prime factors 素因数
3317565095821762784628819899621118313353515509051<49>
13815353130842000938613723089258972775848432697524813226946137769125086905570833350144500798510827183<101>
factorization results 素因数分解の結果
Number: n
N=45833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333  ( 149 digits)
SNFS difficulty: 149 digits.
Divisors found:

Mon Aug  1 19:53:29 2022  p49 factor: 3317565095821762784628819899621118313353515509051
Mon Aug  1 19:53:29 2022  p101 factor: 13815353130842000938613723089258972775848432697524813226946137769125086905570833350144500798510827183
Mon Aug  1 19:53:29 2022  elapsed time 00:03:34 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 11x10^149-8 = 36(148)4
#
n: 45833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
m: 10000000000000000000000000000000000000
deg: 4
c4: 55
c0: -4
skew: 0.52
# Murphy_E = 1.575e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 455367 hash collisions in 5790570 relations (5989385 unique)
Msieve: matrix is 338256 x 338481 (116.2 MB)

Sieving start time : 2022/08/01 19:54:25
Sieving end time  : 2022/08/01 19:49:36

Total sieving time: 0hrs -5min 11secs.

Total relation processing time: 0hrs 1min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 13sec.

Prototype def-par.txt line would be:
snfs,149,4,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
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)

11×10151-83

c143

name 名前Bob Backstrom
date 日付August 1, 2022 13:40:42 UTC 2022 年 8 月 1 日 (月) 22 時 40 分 42 秒 (日本時間)
composite number 合成数
44454086185493762640701264470455699548752875528730030913306872903365458507091020006572803367042365769003526159543697912480405164175907450717901<143>
prime factors 素因数
80591488006485525641889723434382568086490371329<47>
551597783898919462427784878100253023859075582033855342468962589921802311854926910727088463377869<96>
factorization results 素因数分解の結果
Number: n
N=44454086185493762640701264470455699548752875528730030913306872903365458507091020006572803367042365769003526159543697912480405164175907450717901  ( 143 digits)
SNFS difficulty: 151 digits.
Divisors found:

Mon Aug  1 23:38:24 2022  p47 factor: 80591488006485525641889723434382568086490371329
Mon Aug  1 23:38:24 2022  p96 factor: 551597783898919462427784878100253023859075582033855342468962589921802311854926910727088463377869
Mon Aug  1 23:38:24 2022  elapsed time 00:04:42 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 11x10^151-8 = 36(150)4
#
n: 44454086185493762640701264470455699548752875528730030913306872903365458507091020006572803367042365769003526159543697912480405164175907450717901
m: 1000000000000000000000000000000
deg: 5
c5: 55
c0: -4
skew: 0.59
# Murphy_E = 1.688e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1191347 hash collisions in 14223170 relations (13981512 unique)
Msieve: matrix is 441366 x 441607 (56.8 MB)

Sieving start time : 2022/08/01 23:15:53
Sieving end time  : 2022/08/01 23:33:25

Total sieving time: 0hrs 17min 32secs.

Total relation processing time: 0hrs 1min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 13sec.

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

11×10154-83

c131

name 名前Norman Powell
date 日付August 12, 2022 13:14:18 UTC 2022 年 8 月 12 日 (金) 22 時 14 分 18 秒 (日本時間)
composite number 合成数
73119519894799714509107118381571742343577729628459852492421266077392910585408467939765763119559879815850118705185783460495275678189<131>
prime factors 素因数
7800357205526925025985966673852078314569343027<46>
9373868140678358690048111600559267829096602949490077991063448198306173864574951751007<85>
factorization results 素因数分解の結果
08/11/22 08:47:49 v1.35-beta @ 7700KL, 
08/11/22 08:47:49 v1.35-beta @ 7700KL, ****************************
08/11/22 08:47:49 v1.35-beta @ 7700KL, Starting factorization of 73119519894799714509107118381571742343577729628459852492421266077392910585408467939765763119559879815850118705185783460495275678189
08/11/22 08:47:49 v1.35-beta @ 7700KL, using pretesting plan: normal
08/11/22 08:47:49 v1.35-beta @ 7700KL, using tune info for qs/gnfs crossover
08/11/22 08:47:49 v1.35-beta @ 7700KL, ****************************
08/11/22 08:47:49 v1.35-beta @ 7700KL, rho: x^2 + 3, starting 2000 iterations on C131
08/11/22 08:47:49 v1.35-beta @ 7700KL, rho: x^2 + 2, starting 2000 iterations on C131
08/11/22 08:47:50 v1.35-beta @ 7700KL, rho: x^2 + 1, starting 2000 iterations on C131
08/11/22 08:47:50 v1.35-beta @ 7700KL, pm1: starting B1 = 150K, B2 = gmp-ecm default on C131
08/11/22 08:47:50 v1.35-beta @ 7700KL, final ECM pretested depth: 0.00
08/11/22 08:47:50 v1.35-beta @ 7700KL, scheduler: switching to sieve method
08/11/22 08:47:50 v1.35-beta @ 7700KL, nfs: commencing nfs on c131: 73119519894799714509107118381571742343577729628459852492421266077392910585408467939765763119559879815850118705185783460495275678189
08/11/22 08:47:50 v1.35-beta @ 7700KL, nfs: commencing poly selection with 6 threads
08/11/22 08:47:50 v1.35-beta @ 7700KL, nfs: setting deadline of 10800 seconds
08/11/22 08:47:50 v1.35-beta @ 7700KL, nfs: expecting degree 5 poly E from 6.28e-011 to > 7.23e-011
08/11/22 12:38:21 v1.35-beta @ 7700KL, nfs: completed 11 ranges of size 250 in 13831.1720 seconds
08/11/22 12:38:21 v1.35-beta @ 7700KL, nfs: best poly = # norm 1.586803e-012 alpha -5.994465 e 7.212e-011 rroots 5
08/11/22 12:38:21 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 12:54:29 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 13:10:44 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 13:26:47 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 13:43:05 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 13:59:26 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 14:15:55 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 14:32:06 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 14:49:07 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 15:05:46 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 15:22:26 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 15:38:51 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 15:55:34 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 16:12:03 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 16:28:40 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 16:45:43 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 17:02:43 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 17:19:21 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 17:36:31 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 17:53:52 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 18:10:45 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 18:27:37 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 18:44:47 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 19:02:20 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 19:19:18 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 19:36:00 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 19:53:25 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 20:10:48 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 20:28:07 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 20:45:57 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 21:03:09 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 21:20:07 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 21:37:21 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 21:54:52 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 22:12:31 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 22:30:38 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 22:48:36 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 23:06:07 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 23:23:41 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 23:41:26 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 23:58:41 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 00:16:04 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 00:33:06 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 00:50:30 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 01:07:35 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 01:24:32 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 01:42:00 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 01:59:10 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 02:16:44 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 02:34:10 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 02:52:03 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 03:10:01 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 03:27:39 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 03:45:25 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 04:03:30 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 04:21:03 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 04:39:08 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 04:56:33 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 05:14:18 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 05:31:53 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 05:50:01 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 06:08:10 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 06:26:29 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 06:44:44 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 07:03:09 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 07:21:09 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 07:39:17 v1.35-beta @ 7700KL, nfs: commencing msieve filtering
08/12/22 07:43:46 v1.35-beta @ 7700KL, nfs: commencing msieve linear algebra
08/12/22 08:10:16 v1.35-beta @ 7700KL, nfs: commencing msieve sqrt
08/12/22 08:13:13 v1.35-beta @ 7700KL, prp85 = 9373868140678358690048111600559267829096602949490077991063448198306173864574951751007
08/12/22 08:13:13 v1.35-beta @ 7700KL, prp46 = 7800357205526925025985966673852078314569343027
08/12/22 08:13:13 v1.35-beta @ 7700KL, NFS elapsed time = 84322.6729 seconds.
08/12/22 08:13:13 v1.35-beta @ 7700KL, 
08/12/22 08:13:13 v1.35-beta @ 7700KL, 
08/12/22 08:13:13 v1.35-beta @ 7700KL, Total factoring time = 84323.6908 seconds
 
software ソフトウェア
YAFU 1.35
execution environment 実行環境
Windows 10 v21H1, i7-7700, 16GB RAM, 

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)

11×10157-83

c157

name 名前ebina
date 日付July 28, 2022 13:13:07 UTC 2022 年 7 月 28 日 (木) 22 時 13 分 7 秒 (日本時間)
composite number 合成数
4583333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<157>
prime factors 素因数
2907524594262939760794239227772635643638457299<46>
1576369583382737532969381230857851623780475809958946354310109138423729666234919147024495076309918234887392915767<112>
factorization results 素因数分解の結果
Thu Jul 28 22:06:45 2022  Msieve v. 1.53 (SVN unknown)
Thu Jul 28 22:06:45 2022  random seeds: 85cbc348 840b5afb
Thu Jul 28 22:06:45 2022  factoring 4583333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 (157 digits)
Thu Jul 28 22:06:46 2022  searching for 15-digit factors
Thu Jul 28 22:06:46 2022  commencing number field sieve (157-digit input)
Thu Jul 28 22:06:46 2022  R0: -10000000000000000000000000000000
Thu Jul 28 22:06:46 2022  R1: 1
Thu Jul 28 22:06:46 2022  A0: -2
Thu Jul 28 22:06:46 2022  A1: 0
Thu Jul 28 22:06:46 2022  A2: 0
Thu Jul 28 22:06:46 2022  A3: 0
Thu Jul 28 22:06:46 2022  A4: 0
Thu Jul 28 22:06:46 2022  A5: 275
Thu Jul 28 22:06:46 2022  skew 0.37, size 4.471e-11, alpha 0.832, combined = 7.836e-10 rroots = 1
Thu Jul 28 22:06:46 2022  
Thu Jul 28 22:06:46 2022  commencing square root phase
Thu Jul 28 22:06:46 2022  reading relations for dependency 1
Thu Jul 28 22:06:46 2022  read 237500 cycles
Thu Jul 28 22:06:46 2022  cycles contain 803194 unique relations
Thu Jul 28 22:06:53 2022  read 803194 relations
Thu Jul 28 22:06:55 2022  multiplying 803194 relations
Thu Jul 28 22:07:08 2022  multiply complete, coefficients have about 23.00 million bits
Thu Jul 28 22:07:08 2022  initial square root is modulo 4027811
Thu Jul 28 22:07:23 2022  GCD is N, no factor found
Thu Jul 28 22:07:23 2022  reading relations for dependency 2
Thu Jul 28 22:07:23 2022  read 237912 cycles
Thu Jul 28 22:07:23 2022  cycles contain 803556 unique relations
Thu Jul 28 22:07:29 2022  read 803556 relations
Thu Jul 28 22:07:31 2022  multiplying 803556 relations
Thu Jul 28 22:07:44 2022  multiply complete, coefficients have about 23.01 million bits
Thu Jul 28 22:07:44 2022  initial square root is modulo 4053851
Thu Jul 28 22:07:59 2022  sqrtTime: 73
Thu Jul 28 22:07:59 2022  p46 factor: 2907524594262939760794239227772635643638457299
Thu Jul 28 22:07:59 2022  p112 factor: 1576369583382737532969381230857851623780475809958946354310109138423729666234919147024495076309918234887392915767
Thu Jul 28 22:07:59 2022  elapsed time 00:01:14

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)

11×10158-83

c129

name 名前Bob Backstrom
date 日付August 5, 2022 06:17:10 UTC 2022 年 8 月 5 日 (金) 15 時 17 分 10 秒 (日本時間)
composite number 合成数
970476218472211297838146336771289063691368465747164713514290157533681296534340969797906106802078250361023045753922401394402649163<129>
prime factors 素因数
3132026571639464371579842082365307186273<40>
309855678511761141472824823131474122078344300666671140019784140465559178812695907019173931<90>
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 970476218472211297838146336771289063691368465747164713514290157533681296534340969797906106802078250361023045753922401394402649163 (129 digits)
Using B1=13600000, B2=46846254010, polynomial Dickson(12), sigma=1:191812478
Step 1 took 20801ms
Step 2 took 10782ms
********** Factor found in step 2: 3132026571639464371579842082365307186273
Found prime factor of 40 digits: 3132026571639464371579842082365307186273
Prime cofactor 309855678511761141472824823131474122078344300666671140019784140465559178812695907019173931 has 90 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)

11×10159-83

c132

name 名前Eric Jeancolas
date 日付August 11, 2022 09:03:06 UTC 2022 年 8 月 11 日 (木) 18 時 3 分 6 秒 (日本時間)
composite number 合成数
926859326786393980832233247310011393259188144144635713669575720003337153933638479451911975276345136524052525867156926157360557043497<132>
prime factors 素因数
704155485497614370744701469752463658237681901069<48>
1316270832046985615703281593460956120574396854820001731863370036816892732432327158413<85>
factorization results 素因数分解の結果
926859326786393980832233247310011393259188144144635713669575720003337153933638479451911975276345136524052525867156926157360557043497=704155485497614370744701469752463658237681901069*1316270832046985615703281593460956120574396854820001731863370036816892732432327158413

cado polynomial
n: 926859326786393980832233247310011393259188144144635713669575720003337153933638479451911975276345136524052525867156926157360557043497
skew: 0.74
type: snfs
c0: -5
c5: 22
Y0: 50000000000000000000000000000000
Y1: -1
# f(x) = 22*x^5-5
# g(x) = -x+50000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3200000
tasks.lim1 = 3200000
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: 1316270832046985615703281593460956120574396854820001731863370036816892732432327158413 704155485497614370744701469752463658237681901069
Info:Square Root: Total cpu/real time for sqrt: 63.05/20.292
Info:Filtering - Singleton removal: Total cpu/real time for purge: 82.74/73.4006
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11649385
Info:Lattice Sieving: Average J: 1893.82 for 286617 special-q, max bucket fill -bkmult 1.0,1s:1.258280
Info:Lattice Sieving: Total time: 33968.8s
Info:Linear Algebra: Total cpu/real time for bwc: 2012/518.37
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1244.23, WCT time 317.45, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11648 iterations)
Info:Linear Algebra: Lingen CPU time 56.0, WCT time 14.3
Info:Linear Algebra: Mksol: CPU time 677.9,  WCT time 172.77, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5888 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 59.23/17.1533
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 43.99/47.9542
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 47.9s
Info:Filtering - Merging: Merged matrix has 370379 rows and total weight 63055468 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 77.14/21.5903
Info:Filtering - Merging: Total cpu/real time for replay: 11.64/9.70577
Info:Generate Factor Base: Total cpu/real time for makefb: 1.37/0.744831
Info:Quadratic Characters: Total cpu/real time for characters: 11.56/4.54892
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 100.19/83.9871
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 76.1s
Info:Square Root: Total cpu/real time for sqrt: 63.05/20.292
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 64551.7/17974.9
Info:root: Cleaning up computation data in /tmp/cado.wgigj2ab
1316270832046985615703281593460956120574396854820001731863370036816892732432327158413 704155485497614370744701469752463658237681901069
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)

11×10160-83

c137

name 名前ebina
date 日付July 31, 2022 09:43:33 UTC 2022 年 7 月 31 日 (日) 18 時 43 分 33 秒 (日本時間)
composite number 合成数
85744008306944977834403702885905298698085309719161938109573339365308686195527223611455052162036698166839909745241131119259476591778193853<137>
prime factors 素因数
88477527109568837191534073062574100160256862159338085483073<59>
969104936678002729506891445824698489061111115343871473101816999536609689716861<78>
factorization results 素因数分解の結果
Number: 36664_160
N = 85744008306944977834403702885905298698085309719161938109573339365308686195527223611455052162036698166839909745241131119259476591778193853 (137 digits)
SNFS difficulty: 162 digits.
Divisors found:
r1=88477527109568837191534073062574100160256862159338085483073 (pp59)
r2=969104936678002729506891445824698489061111115343871473101816999536609689716861 (pp78)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 4.11 hours.
Factorization parameters were as follows:
n: 85744008306944977834403702885905298698085309719161938109573339365308686195527223611455052162036698166839909745241131119259476591778193853
m: 100000000000000000000000000000000
deg: 5
c5: 11
c0: -8
skew: 0.94
# Murphy_E = 7.23e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 8968447
Relations: 882496 relations
Pruned matrix : 519085 x 519311
Total sieving time: 3.85 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.16 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: snfs,162,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 4.11 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 2, speed: 2.99GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

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)

11×10161-83

c138

name 名前Bob Backstrom
date 日付August 2, 2022 11:19:25 UTC 2022 年 8 月 2 日 (火) 20 時 19 分 25 秒 (日本時間)
composite number 合成数
493060276741552041692453898357454363588276374167591338329241097946201036415845996591864783472543713861545135484784273654743905207986771843<138>
prime factors 素因数
7148062318453318182466381675723234908174124700413725521<55>
68978172653682085852687226647958191696745537216105563879551831109441089117120321683<83>
factorization results 素因数分解の結果
Number: n
N=493060276741552041692453898357454363588276374167591338329241097946201036415845996591864783472543713861545135484784273654743905207986771843  ( 138 digits)
SNFS difficulty: 161 digits.
Divisors found:

Tue Aug  2 19:07:28 2022  p55 factor: 7148062318453318182466381675723234908174124700413725521
Tue Aug  2 19:07:28 2022  p83 factor: 68978172653682085852687226647958191696745537216105563879551831109441089117120321683
Tue Aug  2 19:07:28 2022  elapsed time 00:06:16 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 11x10^161-8 = 36(160)4
#
n: 493060276741552041692453898357454363588276374167591338329241097946201036415845996591864783472543713861545135484784273654743905207986771843
m: 100000000000000000000000000000000
deg: 5
c5: 55
c0: -4
skew: 0.59
# Murphy_E = 6.955e-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, 14550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 981867 hash collisions in 12913162 relations (12800176 unique)
Msieve: matrix is 431092 x 431329 (148.5 MB)

Sieving start time : 2022/08/02 17:47:19
Sieving end time  : 2022/08/02 19:00:37

Total sieving time: 1hrs 13min 18secs.

Total relation processing time: 0hrs 2min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 24sec.

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)

11×10163-83

c150

name 名前Bob Backstrom
date 日付July 30, 2022 21:04:09 UTC 2022 年 7 月 31 日 (日) 6 時 4 分 9 秒 (日本時間)
composite number 合成数
116286716208570331144871391686139477609895485485116561753960800490866644435953148397764987180038418854144622015578400362201073169070663903122804734111<150>
prime factors 素因数
70986491645457478855864545210220873<35>
1638152745868398957991075027724083999348842763338579636648846028008129274512387533572431770427421712076086749156007<115>
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 116286716208570331144871391686139477609895485485116561753960800490866644435953148397764987180038418854144622015578400362201073169070663903122804734111 (150 digits)
Using B1=15870000, B2=58558142380, polynomial Dickson(12), sigma=1:3754859382
Step 1 took 29883ms
Step 2 took 14364ms
********** Factor found in step 2: 70986491645457478855864545210220873
Found prime factor of 35 digits: 70986491645457478855864545210220873
Prime cofactor 1638152745868398957991075027724083999348842763338579636648846028008129274512387533572431770427421712076086749156007 has 115 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)

11×10165-83

c109

name 名前Ignacio Santos
date 日付July 28, 2022 09:40:49 UTC 2022 年 7 月 28 日 (木) 18 時 40 分 49 秒 (日本時間)
composite number 合成数
3215838066887194240987604533685704352151203345854247779745425666904271815932143032354336560714938588005805239<109>
prime factors 素因数
41303195458779183507049633823637603757<38>
77859304375048132508300264488513962663331149750049544563812022442893427<71>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1932068626
Step 1 took 3516ms
Step 2 took 2672ms
********** Factor found in step 2: 41303195458779183507049633823637603757
Found prime factor of 38 digits: 41303195458779183507049633823637603757
Prime cofactor 77859304375048132508300264488513962663331149750049544563812022442893427 has 71 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)

11×10166-83

c103

name 名前Dmitry Domanov
date 日付July 28, 2022 15:57:58 UTC 2022 年 7 月 29 日 (金) 0 時 57 分 58 秒 (日本時間)
composite number 合成数
2465441927271063517373369407075632755694009164203468268554723376867097236114015532980184832321053593011<103>
prime factors 素因数
31508334872239394968094599672247537253467<41>
78247293526236314308401745779487225794304115646050267818365833<62>
factorization results 素因数分解の結果
N=2465441927271063517373369407075632755694009164203468268554723376867097236114015532980184832321053593011
  ( 103 digits)
Divisors found:
p41 factor: 31508334872239394968094599672247537253467
p62 factor: 78247293526236314308401745779487225794304115646050267818365833
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.27 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2465441927271063517373369407075632755694009164203468268554723376867097236114015532980184832321053593011
skew: 1768147.62
c0: 44208313759968357510270390800
c1: 22147230987766802145194
c2: -49324536112355157
c3: -14190777922
c4: 10920
Y0: -3876305878951020845250601
Y1: 141030202979
rlim: 2220000
alim: 2220000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 2220000/2220000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1110000, 1560001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 224630 x 224858
Total sieving time: 2.19 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,102,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2220000,2220000,26,26,52,52,2.5,2.5,100000
total time: 2.27 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)

11×10170-83

c168

name 名前Bob Backstrom
date 日付July 28, 2022 23:52:48 UTC 2022 年 7 月 29 日 (金) 8 時 52 分 48 秒 (日本時間)
composite number 合成数
503663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663<168>
prime factors 素因数
116577639584281982153933551168180778276253864515446260449<57>
4320408317230261694509228786565789428446737395173249197525481654743299237923314531734716008064154753162604085487<112>
factorization results 素因数分解の結果
Number: n
N=503663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663  ( 168 digits)
SNFS difficulty: 171 digits.
Divisors found:

Fri Jul 29 09:46:25 2022  p57 factor: 116577639584281982153933551168180778276253864515446260449
Fri Jul 29 09:46:25 2022  p112 factor: 4320408317230261694509228786565789428446737395173249197525481654743299237923314531734716008064154753162604085487
Fri Jul 29 09:46:25 2022  elapsed time 00:11:18 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 11x10^170-8 = 36(169)4
#
n: 503663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663
m: 10000000000000000000000000000000000
deg: 5
c5: 11
c0: -8
skew: 0.94
# Murphy_E = 2.925e-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, 8100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1016272 hash collisions in 11758130 relations (11493077 unique)
Msieve: matrix is 676725 x 676950 (235.5 MB)

Sieving start time : 2022/07/29 09:00:52
Sieving end time  : 2022/07/29 09:34:52

Total sieving time: 0hrs 34min 0secs.

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

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) ----------
[    0.118312] 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)

11×10171-83

c157

name 名前Bob Backstrom
date 日付July 29, 2022 08:00:45 UTC 2022 年 7 月 29 日 (金) 17 時 0 分 45 秒 (日本時間)
composite number 合成数
3136221000897442708340791186721637554157987609111273535880724899443775704401041990374320872310085838482540782551236242168801056822942219052093598636985826353<157>
prime factors 素因数
7831801378273741515165636623847617551551470330518515870126224748331003<70>
400446953314936806942717825355290158658601984155356633482240583310827752213548266848451<87>
factorization results 素因数分解の結果
Number: n
N=3136221000897442708340791186721637554157987609111273535880724899443775704401041990374320872310085838482540782551236242168801056822942219052093598636985826353  ( 157 digits)
SNFS difficulty: 171 digits.
Divisors found:

Fri Jul 29 17:56:49 2022  p70 factor: 7831801378273741515165636623847617551551470330518515870126224748331003
Fri Jul 29 17:56:49 2022  p87 factor: 400446953314936806942717825355290158658601984155356633482240583310827752213548266848451
Fri Jul 29 17:56:49 2022  elapsed time 00:12:22 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
#
# N = 11x10^171-8 = 36(170)4
#
n: 3136221000897442708340791186721637554157987609111273535880724899443775704401041990374320872310085838482540782551236242168801056822942219052093598636985826353
m: 10000000000000000000000000000000000
deg: 5
c5: 55
c0: -4
skew: 0.59
# Murphy_E = 2.811e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 951434 hash collisions in 10858088 relations (10595293 unique)
Msieve: matrix is 750840 x 751065 (262.4 MB)

Sieving start time : 2022/07/29 16:39:27
Sieving end time  : 2022/07/29 17:43:55

Total sieving time: 1hrs 4min 28secs.

Total relation processing time: 0hrs 8min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 53sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
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)

11×10172-83

c136

name 名前Bob Backstrom
date 日付August 4, 2022 07:35:13 UTC 2022 年 8 月 4 日 (木) 16 時 35 分 13 秒 (日本時間)
composite number 合成数
2462133212183084084195199364466170497514718201075439082936635267226262360588440034904272392335190610920996606023370335430564975174642891<136>
prime factors 素因数
44050242961460260475438000565414305293582767643<47>
55893748743615661821104176070247417594237427533707163493014741339677521691451830319230737<89>
factorization results 素因数分解の結果
Number: n
N=2462133212183084084195199364466170497514718201075439082936635267226262360588440034904272392335190610920996606023370335430564975174642891  ( 136 digits)
SNFS difficulty: 172 digits.
Divisors found:

Thu Aug  4 17:29:01 2022  p47 factor: 44050242961460260475438000565414305293582767643
Thu Aug  4 17:29:01 2022  p89 factor: 55893748743615661821104176070247417594237427533707163493014741339677521691451830319230737
Thu Aug  4 17:29:01 2022  elapsed time 00:15:32 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 11x10^172-8 = 36(171)4
#
n: 2462133212183084084195199364466170497514718201075439082936635267226262360588440034904272392335190610920996606023370335430564975174642891
m: 10000000000000000000000000000000000
deg: 5
c5: 275
c0: -2
skew: 0.37
# Murphy_E = 2.025e-10
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
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, 22600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1167940 hash collisions in 12701240 relations (12339312 unique)
Msieve: matrix is 829961 x 830186 (286.4 MB)

Sieving start time : 2022/08/04 14:35:06
Sieving end time  : 2022/08/04 17:12:54

Total sieving time: 2hrs 37min 48secs.

Total relation processing time: 0hrs 10min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 53sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
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)

11×10173-83

c130

name 名前Bob Backstrom
date 日付August 4, 2022 04:36:47 UTC 2022 年 8 月 4 日 (木) 13 時 36 分 47 秒 (日本時間)
composite number 合成数
3773434053406390547989938474421083784008219735220046124599793922497292501120667844275475578425378052841155070966427169534070135439<130>
prime factors 素因数
177187236212247909922099072501492436967005312548398053<54>
21296308549484306924375551183738024719372698665673571504707079921812387857763<77>
factorization results 素因数分解の結果
Number: n
N=3773434053406390547989938474421083784008219735220046124599793922497292501120667844275475578425378052841155070966427169534070135439  ( 130 digits)
SNFS difficulty: 173 digits.
Divisors found:

Thu Aug  4 14:31:35 2022  p54 factor: 177187236212247909922099072501492436967005312548398053
Thu Aug  4 14:31:35 2022  p77 factor: 21296308549484306924375551183738024719372698665673571504707079921812387857763
Thu Aug  4 14:31:35 2022  elapsed time 00:12:47 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 11x10^173-8 = 36(172)4
#
n: 3773434053406390547989938474421083784008219735220046124599793922497292501120667844275475578425378052841155070966427169534070135439
m: 10000000000000000000000000000000000
deg: 5
c5: 1375
c0: -1
skew: 0.24
# Murphy_E = 2.175e-10
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1274559 hash collisions in 13060919 relations (12600330 unique)
Msieve: matrix is 754275 x 754501 (261.6 MB)

Sieving start time : 2022/08/04 13:01:17
Sieving end time  : 2022/08/04 14:18:33

Total sieving time: 1hrs 17min 16secs.

Total relation processing time: 0hrs 8min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 53sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
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)

11×10175-83

c137

name 名前Eric Jeancolas
date 日付August 13, 2022 14:02:30 UTC 2022 年 8 月 13 日 (土) 23 時 2 分 30 秒 (日本時間)
composite number 合成数
79612935005417469523957679370443953957696458060725946814655741921856142016573144436394136064869036237943214961552379066827153670752279029<137>
prime factors 素因数
1905991329397512171343868920547405197161094617462579827<55>
41769830626975246567222505646090016931399184820268657559372479123118300108677083127<83>
factorization results 素因数分解の結果
79612935005417469523957679370443953957696458060725946814655741921856142016573144436394136064869036237943214961552379066827153670752279029=1905991329397512171343868920547405197161094617462579827*41769830626975246567222505646090016931399184820268657559372479123118300108677083127

cado polynomial
n: 79612935005417469523957679370443953957696458060725946814655741921856142016573144436394136064869036237943214961552379066827153670752279029
skew: 0.94
type: snfs
c0: -8
c5: 11
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 11*x^5-8
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6000000
tasks.lim1 = 6000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 41769830626975246567222505646090016931399184820268657559372479123118300108677083127 1905991329397512171343868920547405197161094617462579827
Info:Square Root: Total cpu/real time for sqrt: 148.72/48.0378
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22443213
Info:Lattice Sieving: Average J: 1892.65 for 542943 special-q, max bucket fill -bkmult 1.0,1s:1.254280
Info:Lattice Sieving: Total time: 90952.4s
Info:Generate Free Relations: Total cpu/real time for freerel: 120.71/32.4535
Info:Linear Algebra: Total cpu/real time for bwc: 7818.87/2011.42
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4906.15, WCT time 1255.0, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (22784 iterations)
Info:Linear Algebra: Lingen CPU time 127.34, WCT time 32.32
Info:Linear Algebra: Mksol: CPU time 2675.13,  WCT time 683.43, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11520 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 214.81/175.721
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 162.7s
Info:Square Root: Total cpu/real time for sqrt: 148.72/48.0378
Info:Quadratic Characters: Total cpu/real time for characters: 23.96/9.57562
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.27/95.4933
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 95.4s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.58/1.50609
Info:Filtering - Singleton removal: Total cpu/real time for purge: 149.53/140.669
Info:Filtering - Merging: Merged matrix has 724075 rows and total weight 123180004 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 164.31/45.6139
Info:Filtering - Merging: Total cpu/real time for replay: 24.48/20.5919
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 177027/48295.5
Info:root: Cleaning up computation data in /tmp/cado.ekafkfhh
41769830626975246567222505646090016931399184820268657559372479123118300108677083127 1905991329397512171343868920547405197161094617462579827
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

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

11×10177-83

c168

name 名前Bob Backstrom
date 日付July 31, 2022 06:09:29 UTC 2022 年 7 月 31 日 (日) 15 時 9 分 29 秒 (日本時間)
composite number 合成数
322982175313500011759017590750158064481672801271482026898022740400746187293430833332039642911123077831687668328928609304145833003876833505594525884055435423138009468187<168>
prime factors 素因数
28768921070045056613836368625827805699587607<44>
11226774008212542651948030731081400191257377067576876667135909339017468247151625769703096045287792898874829680202534584790941<125>
factorization results 素因数分解の結果
Number: n
N=322982175313500011759017590750158064481672801271482026898022740400746187293430833332039642911123077831687668328928609304145833003876833505594525884055435423138009468187  ( 168 digits)
SNFS difficulty: 177 digits.
Divisors found:

Sun Jul 31 15:57:55 2022  p44 factor: 28768921070045056613836368625827805699587607
Sun Jul 31 15:57:55 2022  p125 factor: 11226774008212542651948030731081400191257377067576876667135909339017468247151625769703096045287792898874829680202534584790941
Sun Jul 31 15:57:55 2022  elapsed time 00:27:34 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 11x10^177-8 = 36(176)4
#
n: 322982175313500011759017590750158064481672801271482026898022740400746187293430833332039642911123077831687668328928609304145833003876833505594525884055435423138009468187
m: 100000000000000000000000000000000000
deg: 5
c5: 275
c0: -2
skew: 0.37
# Murphy_E = 1.278e-10
type: snfs
lss: 1
rlim: 6300000
alim: 6300000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6300000/6300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1155885 hash collisions in 11757294 relations (11322876 unique)
Msieve: matrix is 1156707 x 1156934 (401.2 MB)

Sieving start time : 2022/07/31 14:14:39
Sieving end time  : 2022/07/31 15:30:06

Total sieving time: 1hrs 15min 27secs.

Total relation processing time: 0hrs 22min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 32sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6300000,6300000,27,27,53,53,2.5,2.5,100000
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)

11×10178-83

c129

name 名前Bob Backstrom
date 日付August 6, 2022 11:31:28 UTC 2022 年 8 月 6 日 (土) 20 時 31 分 28 秒 (日本時間)
composite number 合成数
674841985948065538937514359411483293331338411710747716422858468035384855806128354956262305385830449404290249922950140980204442659<129>
prime factors 素因数
2025533126352382257500611340695518553795553<43>
333167587914661037334282878977421829879840468741947784729926299425628361967628323152003<87>
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 674841985948065538937514359411483293331338411710747716422858468035384855806128354956262305385830449404290249922950140980204442659 (129 digits)
Using B1=28980000, B2=144287903776, polynomial Dickson(12), sigma=1:3784684077
Step 1 took 45289ms
Step 2 took 19279ms
********** Factor found in step 2: 2025533126352382257500611340695518553795553
Found prime factor of 43 digits: 2025533126352382257500611340695518553795553
Prime cofactor 333167587914661037334282878977421829879840468741947784729926299425628361967628323152003 has 87 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)

11×10179-83

c158

name 名前Bob Backstrom
date 日付July 31, 2022 14:17:54 UTC 2022 年 7 月 31 日 (日) 23 時 17 分 54 秒 (日本時間)
composite number 合成数
44432761627502767617160033990992877743745849373356922285116407372421625151917487197666091302825488677497314823372326696779668373908712362513690579224502970353<158>
prime factors 素因数
69102065946733284719190236976236664224417143483903<50>
643001927927210862799247344785429752915081800846042693212860340897849952491989592852061762628791748131867151<108>
factorization results 素因数分解の結果
Number: n
N=44432761627502767617160033990992877743745849373356922285116407372421625151917487197666091302825488677497314823372326696779668373908712362513690579224502970353  ( 158 digits)
SNFS difficulty: 179 digits.
Divisors found:

Mon Aug  1 00:06:47 2022  p50 factor: 69102065946733284719190236976236664224417143483903
Mon Aug  1 00:06:47 2022  p108 factor: 643001927927210862799247344785429752915081800846042693212860340897849952491989592852061762628791748131867151
Mon Aug  1 00:06:47 2022  elapsed time 00:38:54 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 11x10^179-8 = 36(178)4
#
n: 44432761627502767617160033990992877743745849373356922285116407372421625151917487197666091302825488677497314823372326696779668373908712362513690579224502970353
m: 500000000000000000000000000000000000
deg: 5
c5: 22
c0: -5
skew: 0.74
# Murphy_E = 1.022e-10
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 37900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1261174 hash collisions in 12558866 relations (12066843 unique)
Msieve: matrix is 1347341 x 1347566 (465.8 MB)

Sieving start time : 2022/07/31 19:20:25
Sieving end time  : 2022/07/31 23:27:12

Total sieving time: 4hrs 6min 47secs.

Total relation processing time: 0hrs 32min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 6sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,7000000,7000000,27,27,53,53,2.5,2.5,100000
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)

11×10180-83

c161

name 名前Bob Backstrom
date 日付August 1, 2022 04:20:59 UTC 2022 年 8 月 1 日 (月) 13 時 20 分 59 秒 (日本時間)
composite number 合成数
21598818950784806860210008435900832742967594689135999866926301902747533991466405632889799328941450961394162427565108740199777382521365129917207983929706672290647<161>
prime factors 素因数
255322452619962030638393911019762210474401<42>
11138155715630066205903558620749599186888887<44>
7594998829437338825822173376611348407058257822924247885709396788705390502081<76>
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 21598818950784806860210008435900832742967594689135999866926301902747533991466405632889799328941450961394162427565108740199777382521365129917207983929706672290647 (161 digits)
Using B1=19300000, B2=70271655100, polynomial Dickson(12), sigma=1:1900169837
Step 1 took 44938ms
********** Factor found in step 1: 11138155715630066205903558620749599186888887
Found prime factor of 44 digits: 11138155715630066205903558620749599186888887
Composite cofactor 1939173728777682026357915565655078579761269537490253454398044847044998965289226185879862073375888329983756118587728481 has 118 digits

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1939173728777682026357915565655078579761269537490253454398044847044998965289226185879862073375888329983756118587728481 (118 digits)
Using B1=26560000, B2=144285831706, polynomial Dickson(12), sigma=1:656440062
Step 1 took 40660ms
Step 2 took 18269ms
********** Factor found in step 2: 255322452619962030638393911019762210474401
Found prime factor of 42 digits: 255322452619962030638393911019762210474401
Prime cofactor 7594998829437338825822173376611348407058257822924247885709396788705390502081 has 76 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)

11×10181-83

c98

name 名前Ignacio Santos
date 日付July 28, 2022 08:02:28 UTC 2022 年 7 月 28 日 (木) 17 時 2 分 28 秒 (日本時間)
composite number 合成数
23577127023873129361022363029418994750961120632647959084468380010363767922609412394591052813642573<98>
prime factors 素因数
3685164864307060020732632101097258435857<40>
6397848642331081832507111112512349675505668047603395940989<58>
factorization results 素因数分解の結果
prp58 = 6397848642331081832507111112512349675505668047603395940989
prp40 = 3685164864307060020732632101097258435857
software ソフトウェア
Yafu

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)

11×10183-83

c173

name 名前Bob Backstrom
date 日付August 2, 2022 23:33:06 UTC 2022 年 8 月 3 日 (水) 8 時 33 分 6 秒 (日本時間)
composite number 合成数
13135549186533317076919046354580623005767675366934514646520380375491192848269490901474714972578221643020138384412888062749485546189838324263615831395684757190817862982718659<173>
prime factors 素因数
14678644591620137387353779871681831832914459<44>
139268700906044233010871420116636992364834037169<48>
6425527036085751555340514859773252598099816768515433557069304713932420014903821129<82>
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 13135549186533317076919046354580623005767675366934514646520380375491192848269490901474714972578221643020138384412888062749485546189838324263615831395684757190817862982718659 (173 digits)
Using B1=17620000, B2=58560416470, polynomial Dickson(12), sigma=1:1394305056
Step 1 took 40683ms
Step 2 took 16368ms
********** Factor found in step 2: 14678644591620137387353779871681831832914459
Found prime factor of 44 digits: 14678644591620137387353779871681831832914459
Composite cofactor 894874802952327422736184255918454533079071620794749912847211677204793200306788925927955865866895316629017481664144179737713543801 has 129 digits



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 894874802952327422736184255918454533079071620794749912847211677204793200306788925927955865866895316629017481664144179737713543801 (129 digits)
Using B1=25760000, B2=96191014936, polynomial Dickson(12), sigma=1:2115047562
Step 1 took 39101ms
Step 2 took 14940ms
********** Factor found in step 2: 139268700906044233010871420116636992364834037169
Found prime factor of 48 digits: 139268700906044233010871420116636992364834037169
Prime cofactor 6425527036085751555340514859773252598099816768515433557069304713932420014903821129 has 82 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)

11×10186-83

c148

name 名前Bob Backstrom
date 日付August 4, 2022 11:52:28 UTC 2022 年 8 月 4 日 (木) 20 時 52 分 28 秒 (日本時間)
composite number 合成数
1342883132751216284803875683190838498116616173325878187017426540185059312004626163728764585696094713393796506593589727123527045294095548994737102507<148>
prime factors 素因数
233281739435344565984391288223295113347581849<45>
5756486281359387770383392330078040553767283651646002239441554599814632677344095130998740411355872867043<103>
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 1342883132751216284803875683190838498116616173325878187017426540185059312004626163728764585696094713393796506593589727123527045294095548994737102507 (148 digits)
Using B1=13070000, B2=46845604270, polynomial Dickson(12), sigma=1:3393697909
Step 1 took 25216ms
Step 2 took 12602ms
********** Factor found in step 2: 233281739435344565984391288223295113347581849
Found prime factor of 45 digits: 233281739435344565984391288223295113347581849
Prime cofactor 5756486281359387770383392330078040553767283651646002239441554599814632677344095130998740411355872867043 has 103 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)

11×10187-83

c168

name 名前Bob Backstrom
date 日付August 12, 2022 18:53:58 UTC 2022 年 8 月 13 日 (土) 3 時 53 分 58 秒 (日本時間)
composite number 合成数
538636843916410269644562339089152672759176914535620987008359056465114162814560679429007089453140182335308764289385219543238802067202657716753270728988998237179925364599<168>
prime factors 素因数
348856471813627976722034550440530918326438455394150632773397876453828180966181031<81>
1544007027062321444429339815040290665594687803652468317720087825322104397497749217303729<88>
factorization results 素因数分解の結果
Number: n
N=538636843916410269644562339089152672759176914535620987008359056465114162814560679429007089453140182335308764289385219543238802067202657716753270728988998237179925364599  ( 168 digits)
SNFS difficulty: 187 digits.
Divisors found:

Fri Aug 12 20:03:25 2022  p81 factor: 348856471813627976722034550440530918326438455394150632773397876453828180966181031
Fri Aug 12 20:03:25 2022  p88 factor: 1544007027062321444429339815040290665594687803652468317720087825322104397497749217303729
Fri Aug 12 20:03:25 2022  elapsed time 00:27:59 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 11x10^187-8 = 36(186)4
#
n: 538636843916410269644562339089152672759176914535620987008359056465114162814560679429007089453140182335308764289385219543238802067202657716753270728988998237179925364599
m: 10000000000000000000000000000000000000
deg: 5
c5: 275
c0: -2
skew: 0.37
# Murphy_E = 5.02e-11
type: snfs
lss: 1
rlim: 9300000
alim: 9300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3171988 hash collisions in 28937246 relations (27500849 unique)
Msieve: matrix is 1080434 x 1080661 (371.6 MB)

Sieving start time : 2022/08/12 16:18:36
Sieving end time  : 2022/08/12 19:34:57

Total sieving time: 3hrs 16min 21secs.

Total relation processing time: 0hrs 19min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 20sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9300000,9300000,28,28,54,54,2.5,2.5,100000
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)

11×10188-83

c186

name 名前Bob Backstrom
date 日付August 4, 2022 03:11:20 UTC 2022 年 8 月 4 日 (木) 12 時 11 分 20 秒 (日本時間)
composite number 合成数
503663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663<186>
prime factors 素因数
12427401121333425043983859932941100651978131959803529<53>
40528425754150119933510183367889969257622487582901547028544984427754572812816520774827929957906085863966273253828366158936350317708247<134>
factorization results 素因数分解の結果
Number: n
N=503663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663  ( 186 digits)
SNFS difficulty: 188 digits.
Divisors found:

Thu Aug  4 12:49:31 2022  p53 factor: 12427401121333425043983859932941100651978131959803529
Thu Aug  4 12:49:31 2022  p134 factor: 40528425754150119933510183367889969257622487582901547028544984427754572812816520774827929957906085863966273253828366158936350317708247
Thu Aug  4 12:49:31 2022  elapsed time 00:36:52 (Msieve 1.54 - dependency 9)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 11x10^188-8 = 36(187)4
#
n: 503663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663
m: 10000000000000000000000000000000000000
deg: 5
c5: 1375
c0: -1
skew: 0.24
# Murphy_E = 5.384e-11
type: snfs
lss: 1
rlim: 9600000
alim: 9600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9600000/9600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2944903 hash collisions in 28602038 relations (27416866 unique)
Msieve: matrix is 1038592 x 1038820 (358.5 MB)

Sieving start time : 2022/08/04 08:36:51
Sieving end time  : 2022/08/04 12:11:49

Total sieving time: 3hrs 34min 58secs.

Total relation processing time: 0hrs 17min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 12min 0sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9600000,9600000,28,28,54,54,2.5,2.5,100000
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)

11×10190-83

c175

name 名前Bob Backstrom
date 日付August 11, 2022 15:33:33 UTC 2022 年 8 月 12 日 (金) 0 時 33 分 33 秒 (日本時間)
composite number 合成数
6112781970293296412356514631167054715922361859519318999490472106579704422148603252246435985990759233828800114569146893624500206047341478143818133016774422312644227388011540799<175>
prime factors 素因数
565455495933336362928288884332800887978010957190383480063310859<63>
10810367949830581995042945532248600567172386206078155041840589212578972917431989469787137605518586274507669957661<113>
factorization results 素因数分解の結果
Number: n
N=6112781970293296412356514631167054715922361859519318999490472106579704422148603252246435985990759233828800114569146893624500206047341478143818133016774422312644227388011540799  ( 175 digits)
SNFS difficulty: 191 digits.
Divisors found:

Fri Aug 12 01:30:01 2022  p63 factor: 565455495933336362928288884332800887978010957190383480063310859
Fri Aug 12 01:30:01 2022  p113 factor: 10810367949830581995042945532248600567172386206078155041840589212578972917431989469787137605518586274507669957661
Fri Aug 12 01:30:01 2022  elapsed time 00:30:19 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 11x10^190-8 = 36(189)4
#
n: 6112781970293296412356514631167054715922361859519318999490472106579704422148603252246435985990759233828800114569146893624500206047341478143818133016774422312644227388011540799
m: 100000000000000000000000000000000000000
deg: 5
c5: 11
c0: -8
skew: 0.94
# Murphy_E = 4.531e-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 3051619 hash collisions in 28530594 relations (27202032 unique)
Msieve: matrix is 1139058 x 1139284 (394.8 MB)

Sieving start time : 2022/08/11 21:45:04
Sieving end time  : 2022/08/12 00:59:14

Total sieving time: 3hrs 14min 10secs.

Total relation processing time: 0hrs 21min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 10sec.

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)

11×10191-83

c191

name 名前Bob Backstrom
date 日付August 8, 2022 09:47:38 UTC 2022 年 8 月 8 日 (月) 18 時 47 分 38 秒 (日本時間)
composite number 合成数
45833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<191>
prime factors 素因数
2774136003651925516214337957074905346056458347756390571950350636267<67>
16521660536108344959038709735245621098034167272578227419117973926980062583198104275058984767744513895297661157749343406468799<125>
factorization results 素因数分解の結果
Number: n
N=45833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333  ( 191 digits)
SNFS difficulty: 191 digits.
Divisors found:

Mon Aug  8 19:44:29 2022  p67 factor: 2774136003651925516214337957074905346056458347756390571950350636267
Mon Aug  8 19:44:29 2022  p125 factor: 16521660536108344959038709735245621098034167272578227419117973926980062583198104275058984767744513895297661157749343406468799
Mon Aug  8 19:44:29 2022  elapsed time 00:19:50 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 11x10^191-8 = 36(190)4
#
n: 45833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
m: 100000000000000000000000000000000000000
deg: 5
c5: 55
c0: -4
skew: 0.59
# Murphy_E = 4.347e-11
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 15300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1920038 hash collisions in 12274651 relations (10921401 unique)
Msieve: matrix is 990253 x 990479 (346.7 MB)

Sieving start time : 2022/08/08 14:57:48
Sieving end time  : 2022/08/08 19:24:21

Total sieving time: 4hrs 26min 33secs.

Total relation processing time: 0hrs 15min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 3sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,51,51,2.5,2.5,100000
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)

11×10192-83

c190

name 名前Bob Backstrom
date 日付August 8, 2022 22:37:27 UTC 2022 年 8 月 9 日 (火) 7 時 37 分 27 秒 (日本時間)
composite number 合成数
2560521415270018621973929236499068901303538175046554934823091247672253258845437616387337057728119180633147113594040968342644320297951582867783985102420856610800744878957169459962756052141527<190>
prime factors 素因数
344670664913414013439050953500555933751265706983534847052035876534382789274131<78>
7428892783530784764324103764792526494982813179017349116062754359161162658528430319442235166423350710731468582317<112>
factorization results 素因数分解の結果
Number: n
N=2560521415270018621973929236499068901303538175046554934823091247672253258845437616387337057728119180633147113594040968342644320297951582867783985102420856610800744878957169459962756052141527  ( 190 digits)
SNFS difficulty: 192 digits.
Divisors found:

Tue Aug  9 07:41:15 2022  p78 factor: 344670664913414013439050953500555933751265706983534847052035876534382789274131
Tue Aug  9 07:41:15 2022  p112 factor: 7428892783530784764324103764792526494982813179017349116062754359161162658528430319442235166423350710731468582317
Tue Aug  9 07:41:15 2022  elapsed time 00:27:17 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 11x10^192-8 = 36(191)4
#
n: 2560521415270018621973929236499068901303538175046554934823091247672253258845437616387337057728119180633147113594040968342644320297951582867783985102420856610800744878957169459962756052141527
m: 100000000000000000000000000000000000000
deg: 5
c5: 275
c0: -2
skew: 0.37
# Murphy_E = 3.126e-11
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 37050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2051308 hash collisions in 12991223 relations (11519603 unique)
Msieve: matrix is 1157700 x 1157925 (400.5 MB)

Sieving start time : 2022/08/08 19:55:36
Sieving end time  : 2022/08/09 07:13:19

Total sieving time: 11hrs 17min 43secs.

Total relation processing time: 0hrs 22min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 22sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,51,51,2.5,2.5,100000
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)

11×10194-83

c156

name 名前Bob Backstrom
date 日付August 31, 2022 09:46:45 UTC 2022 年 8 月 31 日 (水) 18 時 46 分 45 秒 (日本時間)
composite number 合成数
103896569555809026874722069349573119880443522211594388082242924727131335844583209945882853053242330137282931263320023074743225043520893391113512170810093837<156>
prime factors 素因数
6661916469790216829586920673363872550082094649953<49>
15595597757334342683036189063411406974660764226380521194940287130656196075220946871791435290977200999888429<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 103896569555809026874722069349573119880443522211594388082242924727131335844583209945882853053242330137282931263320023074743225043520893391113512170810093837 (156 digits)
Using B1=19930000, B2=70272304840, polynomial Dickson(12), sigma=1:1609081997
Step 1 took 46732ms
Step 2 took 18818ms
********** Factor found in step 2: 6661916469790216829586920673363872550082094649953
Found prime factor of 49 digits: 6661916469790216829586920673363872550082094649953
Prime cofactor 15595597757334342683036189063411406974660764226380521194940287130656196075220946871791435290977200999888429 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)
403e62350Ignacio SantosAugust 13, 2022 08:03:35 UTC 2022 年 8 月 13 日 (土) 17 時 3 分 35 秒 (日本時間)

11×10197-83

c157

name 名前Bob Backstrom
date 日付October 2, 2022 21:27:52 UTC 2022 年 10 月 3 日 (月) 6 時 27 分 52 秒 (日本時間)
composite number 合成数
8285608862431355601181289045739792608196394314294491574750500863342237210770263220109546757858450546936231309960611472287669915031797553990028878413477504501<157>
prime factors 素因数
273788368477215716200052752149465559683180509459062333<54>
30262822736097616005875111543947307088347303906575735687241544300787552301460819823915790271915504425497<104>
factorization results 素因数分解の結果
Number: n
N=8285608862431355601181289045739792608196394314294491574750500863342237210770263220109546757858450546936231309960611472287669915031797553990028878413477504501  ( 157 digits)
SNFS difficulty: 197 digits.
Divisors found:

Mon Oct  3 08:23:17 2022  p54 factor: 273788368477215716200052752149465559683180509459062333
Mon Oct  3 08:23:17 2022  p104 factor: 30262822736097616005875111543947307088347303906575735687241544300787552301460819823915790271915504425497
Mon Oct  3 08:23:17 2022  elapsed time 01:24:04 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.338).
Factorization parameters were as follows:
#
# N = 11x10^197-8 = 36(196)4
#
n: 8285608862431355601181289045739792608196394314294491574750500863342237210770263220109546757858450546936231309960611472287669915031797553990028878413477504501
m: 1000000000000000000000000000000000000000
deg: 5
c5: 275
c0: -2
skew: 0.37
# Murphy_E = 1.938e-11
type: snfs
lss: 1
rlim: 13700000
alim: 13700000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13700000/13700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1828229 hash collisions in 13798460 relations (12707034 unique)
Msieve: matrix is 1918317 x 1918542 (667.1 MB)

Sieving start time : 2022/10/03 00:11:45
Sieving end time  : 2022/10/03 06:58:54

Total sieving time: 6hrs 47min 9secs.

Total relation processing time: 1hrs 11min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 37sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13700000,13700000,27,27,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric 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 17, 2022 07:45:18 UTC 2022 年 8 月 17 日 (水) 16 時 45 分 18 秒 (日本時間)

11×10198-83

c189

name 名前Bob Backstrom
date 日付August 20, 2022 19:13:02 UTC 2022 年 8 月 21 日 (日) 4 時 13 分 2 秒 (日本時間)
composite number 合成数
452639681528592870604579949389609941322889388017354115849447431911880828389964020442025731990466418095980897412445889119318259038137404578333317810261200620026559981356959902746582001806721<189>
prime factors 素因数
25689888737976185940222892092105025590784275641867121952014218011312840962097<77>
17619371035246110662219262115671758981811051876067747166275569441484602476897012682834246955859416155962732826193<113>
factorization results 素因数分解の結果
Number: n
N=452639681528592870604579949389609941322889388017354115849447431911880828389964020442025731990466418095980897412445889119318259038137404578333317810261200620026559981356959902746582001806721  ( 189 digits)
SNFS difficulty: 198 digits.
Divisors found:

Sun Aug 21 05:08:09 2022  p77 factor: 25689888737976185940222892092105025590784275641867121952014218011312840962097
Sun Aug 21 05:08:09 2022  p113 factor: 17619371035246110662219262115671758981811051876067747166275569441484602476897012682834246955859416155962732826193
Sun Aug 21 05:08:09 2022  elapsed time 01:07:56 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 11x10^198-8 = 36(197)4
#
n: 452639681528592870604579949389609941322889388017354115849447431911880828389964020442025731990466418095980897412445889119318259038137404578333317810261200620026559981356959902746582001806721
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1375
c0: -1
skew: 0.24
# Murphy_E = 2.078e-11
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3353938 hash collisions in 28974132 relations (27306813 unique)
Msieve: matrix is 1655587 x 1655814 (576.3 MB)

Sieving start time : 2022/08/20 19:19:48
Sieving end time  : 2022/08/21 03:58:46

Total sieving time: 8hrs 38min 58secs.

Total relation processing time: 0hrs 54min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 36sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14000000,14000000,28,28,55,55,2.5,2.5,100000
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 19, 2022 16:13:01 UTC 2022 年 8 月 20 日 (土) 1 時 13 分 1 秒 (日本時間)

11×10200-83

c162

name 名前Bob Backstrom
date 日付October 4, 2022 03:46:11 UTC 2022 年 10 月 4 日 (火) 12 時 46 分 11 秒 (日本時間)
composite number 合成数
355690486094760492581423076691047615420747467893900018255245723471998583649894164666407786309124145593540519856977090627347160672809494514791768780251180509013067<162>
prime factors 素因数
735823719458497687970804822264243961588588579566094181<54>
483390894705756128218388043968267107395976762054645362499252653928789478701759243315363440988763135246989807<108>
factorization results 素因数分解の結果
Number: n
N=355690486094760492581423076691047615420747467893900018255245723471998583649894164666407786309124145593540519856977090627347160672809494514791768780251180509013067  ( 162 digits)
SNFS difficulty: 201 digits.
Divisors found:

Tue Oct  4 14:42:07 2022  p54 factor: 735823719458497687970804822264243961588588579566094181
Tue Oct  4 14:42:07 2022  p108 factor: 483390894705756128218388043968267107395976762054645362499252653928789478701759243315363440988763135246989807
Tue Oct  4 14:42:07 2022  elapsed time 00:55:46 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 11X10^200-8 = 36(199)4
#
n: 355690486094760492581423076691047615420747467893900018255245723471998583649894164666407786309124145593540519856977090627347160672809494514791768780251180509013067
m: 10000000000000000000000000000000000000000
deg: 5
c5: 11
c0: -8
skew: 0.94
# Murphy_E = 1.738e-11
type: snfs
lss: 1
rlim: 13700000
alim: 13700000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.6
alambda: 2.6
Factor base limits: 13700000/13700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 34050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4558901 hash collisions in 27840691 relations (24464359 unique)
Msieve: matrix is 1539770 x 1539997 (525.2 MB)

Sieving start time : 2022/10/04 02:10:27
Sieving end time  : 2022/10/04 13:45:49

Total sieving time: 11hrs 35min 22secs.

Total relation processing time: 0hrs 44min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 19sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,13700000,13700000,28,28,52,52,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

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

11×10201-83

c151

composite cofactor 合成数の残り
2039195772768617384962119544317297076888552433360140657508540154367741670912685394275586627546259640235954890645984974625586832550620056682652153678943<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 SantosNovember 3, 2022 12:56:13 UTC 2022 年 11 月 3 日 (木) 21 時 56 分 13 秒 (日本時間)

11×10204-83

c177

composite cofactor 合成数の残り
607399186174318294327785208409024934454052097103953048247709266241353604502771829005864281463181453710464910559857471645919720791993417821351430557032588560582986560659418461871<177>

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)

11×10205-83

c158

composite cofactor 合成数の残り
11086327858408476742683026472095768759862473897080344357891296030084054729769596637068613987747808586058648863947386626917663735695891809504282653343945717323<158>

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)

11×10207-83

c127

name 名前Eric Jeancolas
date 日付August 8, 2022 21:23:00 UTC 2022 年 8 月 9 日 (火) 6 時 23 分 0 秒 (日本時間)
composite number 合成数
3194590988498303724023050068154010755207335131264138965837357694480914618869044014226032048674048387478355640142430326779713173<127>
prime factors 素因数
1037856598952013260139912766731647650577333369074959388731683<61>
3078065882824347750583943433097178042306131376188929513388215757031<67>
factorization results 素因数分解の結果
3194590988498303724023050068154010755207335131264138965837357694480914618869044014226032048674048387478355640142430326779713173=1037856598952013260139912766731647650577333369074959388731683*3078065882824347750583943433097178042306131376188929513388215757031

cado polynomial
n: 3194590988498303724023050068154010755207335131264138965837357694480914618869044014226032048674048387478355640142430326779713173
skew: 23873.95
c0: -12633798424766205101103574710
c1: -658428641938704678115939
c2: -64471714169444069494
c3: 2420523250738575
c4: 85477471176
c5: -2550240
Y0: -1594677931607082060529906
Y1: 1313600088519556147
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.106e-07
# f(x) = -2550240*x^5+85477471176*x^4+2420523250738575*x^3-64471714169444069494*x^2-658428641938704678115939*x-12633798424766205101103574710
# g(x) = 1313600088519556147*x-1594677931607082060529906

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: 1037856598952013260139912766731647650577333369074959388731683 3078065882824347750583943433097178042306131376188929513388215757031
Info:Square Root: Total cpu/real time for sqrt: 308.38/93.09
Info:Generate Free Relations: Total cpu/real time for freerel: 127.17/33.0246
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.52/61.8413
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 61.2s
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): 20211/37.680/45.094/49.500/0.848
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15956/36.460/40.476/45.900/1.043
Info:Polynomial Selection (size optimized): Total time: 1942.86
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 221.27/221.733
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 179.1s
Info:Quadratic Characters: Total cpu/real time for characters: 30.26/12.0386
Info:Generate Factor Base: Total cpu/real time for makefb: 8.58/2.28201
Info:Square Root: Total cpu/real time for sqrt: 308.38/93.09
Info:Filtering - Singleton removal: Total cpu/real time for purge: 163.77/187.178
Info:Linear Algebra: Total cpu/real time for bwc: 10295.2/2646.08
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6482.67, WCT time 1658.75, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25856 iterations)
Info:Linear Algebra: Lingen CPU time 145.24, WCT time 36.9
Info:Linear Algebra: Mksol: CPU time 3537.04,  WCT time 903.4, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13056 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2871.65
Info:Polynomial Selection (root optimized): Rootsieve time: 2869.33
Info:Filtering - Merging: Merged matrix has 823718 rows and total weight 140591410 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 175.07/50.4091
Info:Filtering - Merging: Total cpu/real time for replay: 30.72/25.3867
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12501603
Info:Lattice Sieving: Average J: 3807.5 for 280723 special-q, max bucket fill -bkmult 1.0,1s:1.193270
Info:Lattice Sieving: Total time: 79638s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 166622/32828.2
1037856598952013260139912766731647650577333369074959388731683 3078065882824347750583943433097178042306131376188929513388215757031
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 09:44:32 UTC 2022 年 7 月 28 日 (木) 18 時 44 分 32 秒 (日本時間)
4511e64480Ignacio SantosAugust 5, 2022 09:31:12 UTC 2022 年 8 月 5 日 (金) 18 時 31 分 12 秒 (日本時間)

11×10209-83

c163

composite cofactor 合成数の残り
1455959117576879379404646512128567084680539445567493757628663644152354498306470026246795044002362332144183007472790866656304787320225324978753200224208173258192799<163>

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)

11×10211-83

c209

composite cofactor 合成数の残り
68407960199004975124378109452736318407960199004975124378109452736318407960199004975124378109452736318407960199004975124378109452736318407960199004975124378109452736318407960199004975124378109452736318407960199<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)

11×10212-83

c205

composite cofactor 合成数の残り
8175153040351306838346069627213615916565160993734741076850184285786227061040805785891731127005194105780059131030580007190567336000633083851444805201561519631931422416578806067354818348991278271091285423607<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)

11×10213-83

c192

composite cofactor 合成数の残り
120510397879314207456771690961203142654268266340189354405579417096151229920115445524282394672177555839424265018101375388219829480046263648247019281799811517362877270130080770245199773828704753<192>

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)

11×10214-83

c196

composite cofactor 合成数の残り
5570612678765503255932315821107417272446439589303256273812423871811118825871475263547263744237916383124118758153951612464124062726057380450308226674381647801780616518209371137950633338626395535531<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)

11×10215-83

c200

composite cofactor 合成数の残り
55469894120606732030069025779949231637626741048977300494956831313516916573114623478368975529314411706349371865788596920069170715703283049943339913043918161178916417251285087656395909640863106321593459<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)

11×10216-83

c164

composite cofactor 合成数の残り
57560834998690077504715622086452687335243362368007119516272389022936421533087372502363789774335350893918652808354016424332298286279089987577616784017297070728654703<164>

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)

11×10218-83

c212

composite cofactor 合成数の残り
11220687585782156593304587155813568806194733523358737786077550374562872613533161130461016842374473759952851894839552736048380667089870199902057678251230950230660614513400397954946042365562493884725265748724656649<212>

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)

11×10219-83

c208

name 名前Erik Branger
date 日付September 1, 2022 18:25:15 UTC 2022 年 9 月 2 日 (金) 3 時 25 分 15 秒 (日本時間)
composite number 合成数
1234592375151991154295535793231652364989276616484703634116453585044173730972252364989977505799644466331030381582498551216696459045852385550038141726292550320241780450231860093872169164887597956011312770481601<208>
prime factors 素因数
84282569879153744041138564269689058537834368803947287<53>
14648252621178704445113152701194719363713326549782426380425475559902598252046837562210670505863602404824103966479405046501304264517249796614618760681762023<155>
factorization results 素因数分解の結果
Number: 36664_219
N = 1234592375151991154295535793231652364989276616484703634116453585044173730972252364989977505799644466331030381582498551216696459045852385550038141726292550320241780450231860093872169164887597956011312770481601 (208 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=84282569879153744041138564269689058537834368803947287 (pp53)
r2=14648252621178704445113152701194719363713326549782426380425475559902598252046837562210670505863602404824103966479405046501304264517249796614618760681762023 (pp155)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 55.62 hours.
Factorization parameters were as follows:
n: 1234592375151991154295535793231652364989276616484703634116453585044173730972252364989977505799644466331030381582498551216696459045852385550038141726292550320241780450231860093872169164887597956011312770481601
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 11
c0: -80
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: 30958400
Relations: 7612216 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 19.12 hours.
Total relation processing time: 0.40 hours.
Pruned matrix : 6552971 x 6553196
Matrix solve time: 35.99 hours.
time per square root: 0.11 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: 55.62 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)

11×10221-83

c208

composite cofactor 合成数の残り
1386216071167779085837017350928801663694789853313339812143763148004021375751430781530850869051530291887440200015943250160059384511787872332720115631096356819525926494333110990126549548895767114064018338573369<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)

11×10222-83

c204

composite cofactor 合成数の残り
134775250102537377869133759887029806831693808465189549525312664641662669281035971027055589679759350462449799609429570495949090517567567010266588710607480294105733219642896872252893807375936067839535352613<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)

11×10224-83

c172

composite cofactor 合成数の残り
1590965567958081634581282082786928522542562451911768336108348093165177878852406676996588748239344059702396302319515029485803751117384730642866609495972280967701725103011049<172>

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)

11×10228-83

c222

composite cofactor 合成数の残り
654004194188352256647417539583901127883742311883422682197244811130723309613195759389240941328451370388497516924439447059668488841261528904845005762371500066827337660700721497427028590209533431029668959724281344518469791903<222>

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)

11×10229-83

c211

composite cofactor 合成数の残り
5976759431767829166000393886097263288140573670859034333152231668641038850933188349908781916637437279472721841416474728112490056018784366490462572470714135265117838260210101958111006748580984015619947530267839733<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)

11×10231-83

c214

composite cofactor 合成数の残り
4237554018260354405454070509804332899364931009170662648792130132307362775202489376219230408776762002650054460883834386078077794475943082481008482203513719146196135921716166431854296454648839319716713197290357072307<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)

11×10232-83

c228

composite cofactor 合成数の残り
190583115029037936435333416496874436913523777842460531969451259234618210043383647275700999348552261355288508184678503610683742913773268465771272540784786616214118397161351130331129499494088458286553841462569476208296949284100517<228>

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)

11×10233-83

c233

composite cofactor 合成数の残り
45833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<233>

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)

11×10234-83

c216

composite cofactor 合成数の残り
335507377530265446686630378157738106286081012536530598923787016415671519392640183608077965473065607431218021270672632305725865938730681000844571883711902883210701286274772603694204988585158995351500450069474562649209<216>

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)

11×10235-83

c207

composite cofactor 合成数の残り
152380641279637489329890901160968645633755063429128061923604222798939445450616704358338580858409930975473490544530445520921739541611076959611450640009845578145430702832465511023779433429573550280248929864079<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)

11×10236-83

c190

composite cofactor 合成数の残り
3045098424773412229417113729542586070405052264618644139402628743593500736360634368820529253748371416364948348228542054756587440041141095638335103575864456092928196485186087711825199149466609<190>

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)

11×10237-83

c153

composite cofactor 合成数の残り
160337124064631950328443340298992363697984611390215698774218745007403084978092838748463082061834616183889521877106820226141471155692628547376846055376441<153>

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 09:55:08 UTC 2022 年 7 月 29 日 (金) 18 時 55 分 8 秒 (日本時間)
4511e64480Ignacio SantosJuly 31, 2022 10:06:31 UTC 2022 年 7 月 31 日 (日) 19 時 6 分 31 秒 (日本時間)

11×10239-83

c222

composite cofactor 合成数の残り
164471941677779014731279482369794411981009455332286618057280029939175434844325940133955488863153499506831055058149098133171044864545778300667579317508057589230165854659325666749682848036004639209912030992841691498391004461<222>

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)

11×10240-83

c226

composite cofactor 合成数の残り
4750337024344572784660252072109316757825407270641522419860246532028583848774338120654769890364544379423933524178695884055441156595137891860029942664565220131854791258135663932429620673503787769611821050782320441393284395774353<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)

11×10241-83

c239

composite cofactor 合成数の残り
11722080136402387041773231031543052003410059676044330775788576300085251491901108269394714407502131287297527706734867860187553282182438192668371696504688832054560954816709292412617220801364023870417732310315430520034100596760443307757885763<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)

11×10244-83

c201

composite cofactor 合成数の残り
141327896989400038959669000414188276733613112445617839915089474901881665727943952362092698932739066368076617172282896093879003952283554424490010298118645859133223395130257604447917358810907764860840127<201>

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)

11×10247-83

c192

composite cofactor 合成数の残り
296623603692977177935625220457648673110102294456408321280419538092271333946116966246524677395228118503007700380559659244680972534135829119501055802205547130810661445131580070262358815460386127<192>

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)

11×10248-83

c194

composite cofactor 合成数の残り
83076141617010923695970988216850102317987654313107796328350524349092316473609672782558629576921140210838242335451762691566467256157306001317117997784792291156922771813860304771380170508457501201<194>

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)

11×10250-83

c247

composite cofactor 合成数の残り
2196134802747164989618271841558856412713624021721769685353777351860725123782143427567481233029867433317361443858808497045200447212905286695416067720811371985305861683437150614917744769206197093116115636479795559814726082095511899057658521003034659<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)

11×10251-83

c222

composite cofactor 合成数の残り
733443563275693901151333267242879698011892997849688246306457478748342785091701776779792618907492694257547141119486880919699705642760960697354308350197248944528164623904571195005094463300064032696858959368721106796981457631<222>

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)

11×10252-83

c203

composite cofactor 合成数の残り
17861876888996785445252223034916368421868733724102512718361981500973317821394976902391232255707673430386125592859591300982820557799492775202315939964002506762862507961018547680713511409719409297516321551<203>

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)

11×10253-83

c225

composite cofactor 合成数の残り
666644295247166024172808015733166812924340329023801222082266642260217630166153031744594115078419693068281274924668818629478205745265034945732653851121909965692592608011956539715621194737399413922642726361113024121110113877617<225>

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)

11×10260-83

c226

composite cofactor 合成数の残り
8487947747710946745311634500335368463698972773017919971117175627821579618314996719714524879485384458159906359895135183733385123857722851744349289484049079522445577005246240950088866521865604931256510490629726626395802685802817<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)

11×10261-83

c232

composite cofactor 合成数の残り
1578262203921229999005821592227375669207393930357055456955243141076960436782533049807616102878493835668611015045725080933795334394153895172757272249081855518557654967311988824744556349385119435629536614349668714534534355250505885963<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)

11×10263-83

c234

composite cofactor 合成数の残り
186071970890946901449888132212092056229134388340314051169999219268397494115328659184648228720732832479786696104602165237466167833734048725422650036999654444913182622199869504729376235482339810492800666759783440935897413587384636021181<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)

11×10264-83

c264

composite cofactor 合成数の残り
458333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<264>

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)

11×10265-83

c152

composite cofactor 合成数の残り
99390856766403572649469654736037126312354212971639555793918387529760057938829022919894938806158756699011461991691850383729356298476300704814223811997497<152>

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 09:54:56 UTC 2022 年 7 月 29 日 (金) 18 時 54 分 56 秒 (日本時間)
4511e64480Ignacio SantosJuly 31, 2022 08:58:42 UTC 2022 年 7 月 31 日 (日) 17 時 58 分 42 秒 (日本時間)

11×10266-83

c210

composite cofactor 合成数の残り
344064712255917347744319681578032963368186357710830586585204916742420741522946120153305109680865723680237295395881598110614272237318286306761115903741674106541595765871944640390246509390090279682208729579172663<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)

11×10267-83

c243

composite cofactor 合成数の残り
105033349256153217836693084038851197258193006066147191778427580068959331915047249706167715484746864076743063388848027443082798117858357646913270696943413009250407096982268281485359715869063304842537496547400296507536271318827645531520276892039<243>

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)

11×10268-83

c140

name 名前Norman Powell
date 日付September 22, 2022 02:19:47 UTC 2022 年 9 月 22 日 (木) 11 時 19 分 47 秒 (日本時間)
composite number 合成数
28742659933514184300707570326200254204161811978731877712822393541852229376572686650769854377056840235988610673383559705455600900494370241887<140>
prime factors 素因数
380634359302521843104388403182886273899060082240798786089723667<63>
75512520693566702849942933504555434756966012793973457212561541187968514694661<77>
factorization results 素因数分解の結果
n: 287426......241887
skew: 290171.808
c0: 1077483079034068877122767991696800
c1: 37781942199702914037790622865
c2: -35046481447683669997976
c3: -785564208081606059
c4: 208482518022
c5: 166320
Y0: -130634478030161518820529074
Y1: 2248158425225373336187
# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=8.389e+13) = 1.149e-06
# f(x) = 166320*x^5+208482518022*x^4-785564208081606059*
 x^3-35046481447683669997976*x^2+37781942199702914037790622865*
        x+1077483079034068877122767991696800
# g(x) = 2248158425225373336187*x-130634478030161518820529074
Factors: 
        380634359302521843104388403182886273899060082240798786089723667 
        75512520693566702849942933504555434756966012793973457212561541187968514694661
Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 928146/132859, (36.9 hours).
software ソフトウェア
CADO-NFS v3.0.0.
execution environment 実行環境
Ubuntu 20.04.4, Intel Xeon E5-1620.

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 10:15:49 UTC 2022 年 7 月 28 日 (木) 19 時 15 分 49 秒 (日本時間)
4511e64480Ignacio SantosJuly 29, 2022 13:22:46 UTC 2022 年 7 月 29 日 (金) 22 時 22 分 46 秒 (日本時間)

11×10269-83

c263

composite cofactor 合成数の残り
22055010489362988741037445237408954911698956004023475513564954251492242009710299818218593544763089889325551363232228353247804804655965094376998885700670039238670661911766805236292570380746473083022598285547744606507334854888456984950142042287555311961306368797309<263>

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)

11×10272-83

c235

composite cofactor 合成数の残り
6367231987290717407772033797135195274588188061671574468239429158126645163078816680504744142731018174076327289994856560469726664724903233153859064643590685544677305740473477573670308577898700331394170489955883662454869041861454613666283<235>

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)

11×10273-83

c272

composite cofactor 合成数の残り
26960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549<272>

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)

11×10274-83

c248

composite cofactor 合成数の残り
53090985536124738105156441722168647549177289234303983570055218306430377059850354539214958881194899594527689689653286446374197421161110363830383705404003393445416447958030891120374804374846345742033883172354754547465880854133380935838000565775992157<248>

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)

11×10275-83

c194

composite cofactor 合成数の残り
35313043363621705810947728030420387033417061615892028146505571169275033369920035436996407257807934799204608844311549821862481949377257832970690897237678825347783161614356004221612676117673678763<194>

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)

11×10276-83

c274

composite cofactor 合成数の残り
7513661202185792349726775956284153005464480874316939890710382513661202185792349726775956284153005464480874316939890710382513661202185792349726775956284153005464480874316939890710382513661202185792349726775956284153005464480874316939890710382513661202185792349726775956284153<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)

11×10277-83

c265

composite cofactor 合成数の残り
3342978817806895748139941015813517265197635041576520456532440513821501550682417420604217663999887457464223805813800525564090997137561453207017987724491483629886731615980177541989680598696568636492403405562283322230718016423118727142028872497264467626393949911607791<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)

11×10278-83

c175

name 名前Ignacio Santos
date 日付August 1, 2022 10:00:36 UTC 2022 年 8 月 1 日 (月) 19 時 0 分 36 秒 (日本時間)
composite number 合成数
2382887893566931035235997341275315691245767667626974975312774100190719748143406210955439753306938122884781125022867999365152498103588484292481326762678913953317144697090537693<175>
prime factors 素因数
52312294534406663782079887044183320429443813<44>
composite cofactor 合成数の残り
45551201964571944829744633148991232916879374022641316045226048036147057344662431113701389397182225288045198586340569780510281092761<131>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:373503634
Step 1 took 31343ms
Step 2 took 13547ms
********** Factor found in step 2: 52312294534406663782079887044183320429443813
Found prime factor of 44 digits: 52312294534406663782079887044183320429443813
Composite cofactor 45551201964571944829744633148991232916879374022641316045226048036147057344662431113701389397182225288045198586340569780510281092761 has 131 digits
 
software ソフトウェア
GMP-ECM

c131

name 名前Eric Jeancolas
date 日付August 9, 2022 05:21:20 UTC 2022 年 8 月 9 日 (火) 14 時 21 分 20 秒 (日本時間)
composite number 合成数
45551201964571944829744633148991232916879374022641316045226048036147057344662431113701389397182225288045198586340569780510281092761<131>
prime factors 素因数
13947636980964094779374791634414193138827376587580446907739<59>
3265872350043292734663890898289804486119739345553252350728345619852329499<73>
factorization results 素因数分解の結果
45551201964571944829744633148991232916879374022641316045226048036147057344662431113701389397182225288045198586340569780510281092761=13947636980964094779374791634414193138827376587580446907739*3265872350043292734663890898289804486119739345553252350728345619852329499

cado polynomial
n: 45551201964571944829744633148991232916879374022641316045226048036147057344662431113701389397182225288045198586340569780510281092761
skew: 22397.892
c0: 499790120510871089432148882
c1: -1354487812986562926254551
c2: -67892112616039047321
c3: 4619334732538264
c4: 23408834076
c5: 841680
Y0: -12655964257618526938207413
Y1: 29206385243000669
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.521e-07
# f(x) = 841680*x^5+23408834076*x^4+4619334732538264*x^3-67892112616039047321*x^2-1354487812986562926254551*x+499790120510871089432148882
# g(x) = 29206385243000669*x-12655964257618526938207413

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: 13947636980964094779374791634414193138827376587580446907739 3265872350043292734663890898289804486119739345553252350728345619852329499
Info:Square Root: Total cpu/real time for sqrt: 783.12/235.345
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 104.03/121.019
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 120.7s
Info:Quadratic Characters: Total cpu/real time for characters: 70.05/29.6046
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): 38645/38.890/46.665/51.030/0.845
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30605/37.500/41.938/47.490/1.038
Info:Polynomial Selection (size optimized): Total time: 4890.49
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 344.03/312.553
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 273.5s
Info:Linear Algebra: Total cpu/real time for bwc: 52218.8/13418.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 33399.35, WCT time 8529.45, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (56064 iterations)
Info:Linear Algebra: Lingen CPU time 350.22, WCT time 88.95
Info:Linear Algebra: Mksol: CPU time 18139.5,  WCT time 4671.22, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (28160 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 39.7/10.5326
Info:Filtering - Singleton removal: Total cpu/real time for purge: 207.8/232.757
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5698.28
Info:Polynomial Selection (root optimized): Rootsieve time: 5695.72
Info:Filtering - Merging: Merged matrix has 1793149 rows and total weight 305202483 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 462.06/130.14
Info:Filtering - Merging: Total cpu/real time for replay: 71.46/61.6987
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24174288
Info:Lattice Sieving: Average J: 7578.95 for 69922 special-q, max bucket fill -bkmult 1.0,1s:1.072710
Info:Lattice Sieving: Total time: 95802.1s
Info:Square Root: Total cpu/real time for sqrt: 783.12/235.345
Info:Generate Free Relations: Total cpu/real time for freerel: 254.08/64.1462
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 245394/63004.4
13947636980964094779374791634414193138827376587580446907739 3265872350043292734663890898289804486119739345553252350728345619852329499
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 29, 2022 09:58:24 UTC 2022 年 7 月 29 日 (金) 18 時 58 分 24 秒 (日本時間)
4511e64480Ignacio SantosAugust 4, 2022 09:33:00 UTC 2022 年 8 月 4 日 (木) 18 時 33 分 0 秒 (日本時間)

11×10279-83

c266

composite cofactor 合成数の残り
77047814124381930223276377210216048608616624556215855643363232808601976586871404263292661302129184469666424270052982863904254138902307096496589949239865877630274222243427067302374103704487638847435557228960149044957293664487938420344343812518374505737640831157540059<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)

11×10281-83

c234

composite cofactor 合成数の残り
747532676139713954264482138646655426940709240076699114590107162354386474098233883567821928990372066098956860979619296076565483836500454404498357904813439833082102395322787073464583808698673968927374618368558405459204135697321647829209<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)

11×10288-83

c243

composite cofactor 合成数の残り
258969976402111532691221170579236563313493561911643174559014974612848535584932251592116023085090264133762957204594082404445897554420211027918988721309179203967431806770694179220730356373305574173524638920656317981245585925500933271633161194613<243>

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)

11×10289-83

c251

composite cofactor 合成数の残り
68456905991828336805362795477640217712660609987932924857017122394908018949972549075500693694890802015501892656402646053423664614281007611670109403788954660872442407097587572373911294007066185234233453142653342391341690953554473663878953773121224469499<251>

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)

11×10291-83

c198

composite cofactor 合成数の残り
456191742535503680669099234946744586559653644983064614428445107545468201851037494459743224028747349552845946436561125737964580244039993878222417700128879444937224152625334852303271747595037512143261<198>

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)

11×10292-83

c262

composite cofactor 合成数の残り
1556535572889211252640648553245715090021840726270159978461969104292137338967780232548722921328724909323593690493397382341240807013729763719646608526145493997420806253226555282139703336178370907296361626300373059676125758022580667733682616301722737294509682090111<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)

11×10293-83

c287

composite cofactor 合成数の残り
19161324837689643115795857614215779929327459795011450110947554687466249939206342105875586841702233569442661860588332104918217375266394673402534283790787318631092656781095311495554642315200867123110327563893263477413954154683870888624207121797602618649362109044521582131778910920464058023<287>

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)

11×10294-83

c258

composite cofactor 合成数の残り
109762589704629367444626772386976504532780179615631296556759073933197243301600111427762486061967771210281224722969478735111322241994410431113598303570811862927890972131474811835212013188641553391424907228644455371201008087200154867629446602670140362528781689<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)

11×10296-83

c238

composite cofactor 合成数の残り
1277323254050998217967003248950462342805582493516337218525587604783955714722905455679862194800527629321529838218975512485600710867035106702147895640868952038109342760839012335726450454010071787188640626228419525246818922462693934200317359<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)

11×10297-83

c234

composite cofactor 合成数の残り
562350411083344549711908100181604560183811625031262331968793289572614934152426001626478675789408796853683535301596652325357686208381070408306964870953303829103265179465362086216333279772488554410002865868765702489574395343284414299837<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)

11×10298-83

c298

composite cofactor 合成数の残り
4583333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<298>

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)

11×10299-83

c273

composite cofactor 合成数の残り
193800488335627288452858280047259154157492749749864191244151156802920521593352492880113472581630926596366533455558106658425145294456918712484048492075728555653756992884961457388827045937802273222853078442083485343191956573642850847155880195559399692802773966026928767418017<273>

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)