Table of contents 目次

46×10136+359

c125

name 名前Dmitry Domanov
date 日付April 25, 2022 06:20:41 UTC 2022 年 4 月 25 日 (月) 15 時 20 分 41 秒 (日本時間)
composite number 合成数
37036874008098189875926219308283200169881106645563050172497307267250417251782805373359864287837603337613913641635437464688959<125>
prime factors 素因数
11073362108927970399883446407780246257087174334593412476843<59>
3344681917178249659363472772009831620370811910445637141388420430013<67>
factorization results 素因数分解の結果
N=37036874008098189875926219308283200169881106645563050172497307267250417251782805373359864287837603337613913641635437464688959
  ( 125 digits)
SNFS difficulty: 136 digits.
Divisors found:
p59 factor: 11073362108927970399883446407780246257087174334593412476843
p67 factor: 3344681917178249659363472772009831620370811910445637141388420430013
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 6.28 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 37036874008098189875926219308283200169881106645563050172497307267250417251782805373359864287837603337613913641635437464688959
m: 1000000000000000000000000000
deg: 5
c5: 92
c0: 7
skew: 0.60
# Murphy_E = 5.404e-09
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [670000, 1120001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 186470 x 186700
Total sieving time: 6.12 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,75000
total time: 6.28 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 JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

46×10146+359

c123

name 名前ebina
date 日付April 27, 2022 08:19:42 UTC 2022 年 4 月 27 日 (水) 17 時 19 分 42 秒 (日本時間)
composite number 合成数
729112962477334240783312106630119630798749203505182510087620501743204033545310166285271559122796176412230535511208081500627<123>
prime factors 素因数
4054821257618084873313971020148850272252557<43>
179813835469935248262110496781001882295452397021853700407233080977288906363692511<81>
factorization results 素因数分解の結果
Wed Apr 27 17:16:30 2022  Msieve v. 1.53 (SVN unknown)
Wed Apr 27 17:16:30 2022  random seeds: 75f47be0 1c0e765a
Wed Apr 27 17:16:30 2022  factoring 729112962477334240783312106630119630798749203505182510087620501743204033545310166285271559122796176412230535511208081500627 (123 digits)
Wed Apr 27 17:16:31 2022  searching for 15-digit factors
Wed Apr 27 17:16:31 2022  commencing number field sieve (123-digit input)
Wed Apr 27 17:16:31 2022  R0: -100000000000000000000000000000
Wed Apr 27 17:16:31 2022  R1: 1
Wed Apr 27 17:16:31 2022  A0: 7
Wed Apr 27 17:16:31 2022  A1: 0
Wed Apr 27 17:16:31 2022  A2: 0
Wed Apr 27 17:16:31 2022  A3: 0
Wed Apr 27 17:16:31 2022  A4: 0
Wed Apr 27 17:16:31 2022  A5: 92
Wed Apr 27 17:16:31 2022  skew 0.60, size 2.958e-10, alpha -0.075, combined = 2.297e-09 rroots = 1
Wed Apr 27 17:16:31 2022  
Wed Apr 27 17:16:31 2022  commencing square root phase
Wed Apr 27 17:16:31 2022  reading relations for dependency 1
Wed Apr 27 17:16:31 2022  read 121469 cycles
Wed Apr 27 17:16:31 2022  cycles contain 367704 unique relations
Wed Apr 27 17:16:34 2022  read 367704 relations
Wed Apr 27 17:16:35 2022  multiplying 367704 relations
Wed Apr 27 17:16:40 2022  multiply complete, coefficients have about 9.63 million bits
Wed Apr 27 17:16:40 2022  initial square root is modulo 343051
Wed Apr 27 17:16:47 2022  sqrtTime: 16
Wed Apr 27 17:16:47 2022  p43 factor: 4054821257618084873313971020148850272252557
Wed Apr 27 17:16:47 2022  p81 factor: 179813835469935248262110496781001882295452397021853700407233080977288906363692511
Wed Apr 27 17:16:47 2022  elapsed time 00:00:17
Wed Apr 27 17:16:47 2022 -> Computing 1.65105e+09 scale for this machine...
Wed Apr 27 17:16:47 2022 -> procrels -speedtest> PIPE
Wed Apr 27 17:16:48 2022 -> Factorization summary written to s147-51115_146.txt

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

46×10151+359

c129

name 名前Taiyo Kodama
date 日付April 26, 2022 11:54:20 UTC 2022 年 4 月 26 日 (火) 20 時 54 分 20 秒 (日本時間)
composite number 合成数
860950672851721375835723526669418079065759547983812003484534459800881236407305993589572607557701427036253346084071049011061369193<129>
prime factors 素因数
2008073048472296786054511056873453112028718177066061687833<58>
428744698061017266789984481208876957730456585544219614298025309321875921<72>
factorization results 素因数分解の結果
Tue Apr 26 20:40:30 2022  Msieve v. 1.53 (SVN unknown)
Tue Apr 26 20:40:30 2022  random seeds: 40a90770 0b73c114
Tue Apr 26 20:40:30 2022  factoring 860950672851721375835723526669418079065759547983812003484534459800881236407305993589572607557701427036253346084071049011061369193 (129 digits)
Tue Apr 26 20:40:30 2022  searching for 15-digit factors
Tue Apr 26 20:40:30 2022  commencing number field sieve (129-digit input)
Tue Apr 26 20:40:30 2022  R0: -1000000000000000000000000000000
Tue Apr 26 20:40:30 2022  R1: 1
Tue Apr 26 20:40:30 2022  A0: 7
Tue Apr 26 20:40:30 2022  A1: 0
Tue Apr 26 20:40:30 2022  A2: 0
Tue Apr 26 20:40:30 2022  A3: 0
Tue Apr 26 20:40:30 2022  A4: 0
Tue Apr 26 20:40:30 2022  A5: 92
Tue Apr 26 20:40:30 2022  skew 0.60, size 1.373e-10, alpha -0.075, combined = 1.486e-09 rroots = 1
Tue Apr 26 20:40:30 2022  
Tue Apr 26 20:40:30 2022  commencing square root phase
Tue Apr 26 20:40:30 2022  reading relations for dependency 1
Tue Apr 26 20:40:30 2022  read 172162 cycles
Tue Apr 26 20:40:31 2022  cycles contain 584910 unique relations
Tue Apr 26 20:40:35 2022  read 584910 relations
Tue Apr 26 20:40:37 2022  multiplying 584910 relations
Tue Apr 26 20:40:45 2022  multiply complete, coefficients have about 15.89 million bits
Tue Apr 26 20:40:45 2022  initial square root is modulo 1344723931
Tue Apr 26 20:40:54 2022  Newton iteration failed to converge
Tue Apr 26 20:40:54 2022  algebraic square root failed
Tue Apr 26 20:40:54 2022  reading relations for dependency 2
Tue Apr 26 20:40:54 2022  read 172456 cycles
Tue Apr 26 20:40:54 2022  cycles contain 585586 unique relations
Tue Apr 26 20:40:59 2022  read 585586 relations
Tue Apr 26 20:41:01 2022  multiplying 585586 relations
Tue Apr 26 20:41:09 2022  multiply complete, coefficients have about 15.91 million bits
Tue Apr 26 20:41:09 2022  initial square root is modulo 1379864851
Tue Apr 26 20:41:18 2022  sqrtTime: 48
Tue Apr 26 20:41:18 2022  p58 factor: 2008073048472296786054511056873453112028718177066061687833
Tue Apr 26 20:41:18 2022  p72 factor: 428744698061017266789984481208876957730456585544219614298025309321875921
Tue Apr 26 20:41:18 2022  elapsed time 00:00:48
Tue Apr 26 20:41:18 2022 -> Computing time scale for this machine...
Tue Apr 26 20:41:18 2022 -> procrels -speedtest> PIPE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

46×10153+359

c133

name 名前Ignacio Santos
date 日付April 30, 2022 22:46:36 UTC 2022 年 5 月 1 日 (日) 7 時 46 分 36 秒 (日本時間)
composite number 合成数
3790112789618560359311255246874642854395207069409065167620336717267132288458735483547258993312944707621283856846047186386218602223647<133>
prime factors 素因数
47225914716174790169660687781758114587<38>
40339448189034655222014886441599673303889<41>
1989490192966837676374004441658750986732407017109850429<55>
factorization results 素因数分解の結果
N=3790112789618560359311255246874642854395207069409065167620336717267132288458735483547258993312944707621283856846047186386218602223647
  ( 133 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=47225914716174790169660687781758114587 (pp38)
 r2=40339448189034655222014886441599673303889 (pp41)
 r3=1989490192966837676374004441658750986732407017109850429 (pp55)
Version: Msieve v. 1.52 (SVN 927)
Total time: 10.74 hours.
Scaled time: 84.34 units (timescale=7.855).
Factorization parameters were as follows:
n: 3790112789618560359311255246874642854395207069409065167620336717267132288458735483547258993312944707621283856846047186386218602223647
m: 1000000000000000000000000000000
deg: 5
c5: 9200
c0: 7
skew: 0.24
# Murphy_E = 1.096e-09
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 330658 x 330883
Total sieving time: 10.65 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 10.74 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

46×10158+359

c126

name 名前Taiyo Kodama
date 日付May 1, 2022 05:32:05 UTC 2022 年 5 月 1 日 (日) 14 時 32 分 5 秒 (日本時間)
composite number 合成数
183234372666935732321545554456439272395241124572673058529719495440923714574549429033628392175544325320751617304519042494672893<126>
prime factors 素因数
270359186070834599553517332282640542882862279<45>
677744208842705987021491680856922272581202206518601815467462045775721327210563867<81>
factorization results 素因数分解の結果
Sun May  1 14:20:32 2022  Msieve v. 1.53 (SVN unknown)
Sun May  1 14:20:32 2022  random seeds: a5ccc104 9a6c6bf6
Sun May  1 14:20:32 2022  factoring 183234372666935732321545554456439272395241124572673058529719495440923714574549429033628392175544325320751617304519042494672893 (126 digits)
Sun May  1 14:20:33 2022  searching for 15-digit factors
Sun May  1 14:20:33 2022  commencing number field sieve (126-digit input)
Sun May  1 14:20:33 2022  R0: -10000000000000000000000000000000
Sun May  1 14:20:33 2022  R1: 1
Sun May  1 14:20:33 2022  A0: 7
Sun May  1 14:20:33 2022  A1: 0
Sun May  1 14:20:33 2022  A2: 0
Sun May  1 14:20:33 2022  A3: 0
Sun May  1 14:20:33 2022  A4: 0
Sun May  1 14:20:33 2022  A5: 9200
Sun May  1 14:20:33 2022  skew 0.24, size 3.701e-11, alpha -1.209, combined = 7.048e-10 rroots = 1
Sun May  1 14:20:33 2022  
Sun May  1 14:20:33 2022  commencing square root phase
Sun May  1 14:20:33 2022  reading relations for dependency 1
Sun May  1 14:20:33 2022  read 244172 cycles
Sun May  1 14:20:33 2022  cycles contain 825232 unique relations
Sun May  1 14:20:40 2022  read 825232 relations
Sun May  1 14:20:42 2022  multiplying 825232 relations
Sun May  1 14:20:57 2022  multiply complete, coefficients have about 27.59 million bits
Sun May  1 14:20:57 2022  initial square root is modulo 83708671
Sun May  1 14:21:14 2022  GCD is 1, no factor found
Sun May  1 14:21:14 2022  reading relations for dependency 2
Sun May  1 14:21:14 2022  read 243338 cycles
Sun May  1 14:21:15 2022  cycles contain 825372 unique relations
Sun May  1 14:21:21 2022  read 825372 relations
Sun May  1 14:21:23 2022  multiplying 825372 relations
Sun May  1 14:21:38 2022  multiply complete, coefficients have about 27.59 million bits
Sun May  1 14:21:38 2022  initial square root is modulo 84040331
Sun May  1 14:21:55 2022  sqrtTime: 82
Sun May  1 14:21:55 2022  p45 factor: 270359186070834599553517332282640542882862279
Sun May  1 14:21:55 2022  p81 factor: 677744208842705987021491680856922272581202206518601815467462045775721327210563867
Sun May  1 14:21:55 2022  elapsed time 00:01:23
Sun May 01 14:21:55 2022 -> Computing time scale for this machine...
Sun May 01 14:21:55 2022 -> procrels -speedtest> PIPE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

46×10159+359

c121

name 名前Taiyo Kodama
date 日付May 2, 2022 06:16:20 UTC 2022 年 5 月 2 日 (月) 15 時 16 分 20 秒 (日本時間)
composite number 合成数
5418956306479354404180843428942045857508571308459452864876061971394973199390328494828628855203129484195900335502298593899<121>
prime factors 素因数
432770193449117015644906776123583875369936535928966415517<57>
12521556217379579199904368747790413206642388264323411354079303847<65>
factorization results 素因数分解の結果
Mon May  2 15:03:37 2022  Msieve v. 1.53 (SVN unknown)
Mon May  2 15:03:37 2022  random seeds: 29782c7c 806f99a6
Mon May  2 15:03:37 2022  factoring 5418956306479354404180843428942045857508571308459452864876061971394973199390328494828628855203129484195900335502298593899 (121 digits)
Mon May  2 15:03:37 2022  searching for 15-digit factors
Mon May  2 15:03:37 2022  commencing number field sieve (121-digit input)
Mon May  2 15:03:37 2022  R0: -20000000000000000000000000000000
Mon May  2 15:03:37 2022  R1: 1
Mon May  2 15:03:37 2022  A0: 7
Mon May  2 15:03:37 2022  A1: 0
Mon May  2 15:03:37 2022  A2: 0
Mon May  2 15:03:37 2022  A3: 0
Mon May  2 15:03:37 2022  A4: 0
Mon May  2 15:03:37 2022  A5: 2875
Mon May  2 15:03:37 2022  skew 0.30, size 2.891e-11, alpha -0.463, combined = 6.112e-10 rroots = 1
Mon May  2 15:03:37 2022  
Mon May  2 15:03:37 2022  commencing square root phase
Mon May  2 15:03:37 2022  reading relations for dependency 1
Mon May  2 15:03:38 2022  read 258482 cycles
Mon May  2 15:03:38 2022  cycles contain 870790 unique relations
Mon May  2 15:03:45 2022  read 870790 relations
Mon May  2 15:03:47 2022  multiplying 870790 relations
Mon May  2 15:04:02 2022  multiply complete, coefficients have about 27.83 million bits
Mon May  2 15:04:02 2022  initial square root is modulo 98332501
Mon May  2 15:04:20 2022  sqrtTime: 43
Mon May  2 15:04:20 2022  p57 factor: 432770193449117015644906776123583875369936535928966415517
Mon May  2 15:04:20 2022  p65 factor: 12521556217379579199904368747790413206642388264323411354079303847
Mon May  2 15:04:20 2022  elapsed time 00:00:43
Mon May 02 15:04:20 2022 -> Computing time scale for this machine...
Mon May 02 15:04:20 2022 -> procrels -speedtest> PIPE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62078Taiyo KodamaMay 2, 2022 04:34:23 UTC 2022 年 5 月 2 日 (月) 13 時 34 分 23 秒 (日本時間)

46×10162+359

c130

name 名前Ignacio Santos
date 日付May 4, 2022 13:33:00 UTC 2022 年 5 月 4 日 (水) 22 時 33 分 0 秒 (日本時間)
composite number 合成数
1116816538446193347064127763275586926399021819717636512808524044366192220615795403232712809193462610413346938896993221983228826971<130>
prime factors 素因数
107305674231593618590749128659145026643200358027499680098445071<63>
10407805052655576380169240215632216828509797337792000864036946758901<68>
factorization results 素因数分解の結果
N=1116816538446193347064127763275586926399021819717636512808524044366192220615795403232712809193462610413346938896993221983228826971
  ( 130 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=107305674231593618590749128659145026643200358027499680098445071 (pp63)
 r2=10407805052655576380169240215632216828509797337792000864036946758901 (pp68)
Version: Msieve v. 1.52 (SVN 927)
Total time: 18.11 hours.
Scaled time: 140.31 units (timescale=7.746).
Factorization parameters were as follows:
n: 1116816538446193347064127763275586926399021819717636512808524044366192220615795403232712809193462610413346938896993221983228826971
m: 100000000000000000000000000000000
deg: 5
c5: 920
c0: 7
skew: 0.38
# Murphy_E = 5.127e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 579585 x 579810
Total sieving time: 18.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 18.11 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 2, 2022 17:33:48 UTC 2022 年 5 月 3 日 (火) 2 時 33 分 48 秒 (日本時間)

46×10164+359

c151

name 名前Bob Backstrom
date 日付April 25, 2022 03:56:47 UTC 2022 年 4 月 25 日 (月) 12 時 56 分 47 秒 (日本時間)
composite number 合成数
7316008330824399104719337419491906414173063798314397475717082656365451230101944813665519467253940546355865148764372946955301180777224595269381039715387<151>
prime factors 素因数
3562757342266002354450121189687782105943<40>
2053468038373681575230858456937107961566411570069813842784042534477451966656028987124753720301822100548478053309<112>
factorization results 素因数分解の結果
Number: n
N=7316008330824399104719337419491906414173063798314397475717082656365451230101944813665519467253940546355865148764372946955301180777224595269381039715387  ( 151 digits)
SNFS difficulty: 164 digits.
Divisors found:

Mon Apr 25 13:53:17 2022  p40 factor: 3562757342266002354450121189687782105943
Mon Apr 25 13:53:17 2022  p112 factor: 2053468038373681575230858456937107961566411570069813842784042534477451966656028987124753720301822100548478053309
Mon Apr 25 13:53:17 2022  elapsed time 00:10:11 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 46x10^164+35 = 51(163)5
#
n: 7316008330824399104719337419491906414173063798314397475717082656365451230101944813665519467253940546355865148764372946955301180777224595269381039715387
m: 200000000000000000000000000000000
deg: 5
c5: 2875
c0: 7
skew: 0.30
# Murphy_E = 3.906e-10
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1936084 hash collisions in 15830694 relations (14831656 unique)
Msieve: matrix is 504909 x 505144 (170.0 MB)

Sieving start time : 2022/04/25 13:04:04
Sieving end time  : 2022/04/25 13:42:30

Total sieving time: 0hrs 38min 26secs.

Total relation processing time: 0hrs 4min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 28sec.

Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

46×10167+359

c164

name 名前Bob Backstrom
date 日付April 25, 2022 22:04:14 UTC 2022 年 4 月 26 日 (火) 7 時 4 分 14 秒 (日本時間)
composite number 合成数
66855606423951747692754886999491316038078628006685560642395174769275488699949131603807862800668556064239517476927548869994913160380786280066855606423951747692754887<164>
prime factors 素因数
980794808191513354551353937152851634765531<42>
68164723003812325368907280531267978003786780271878737862939161976340693438107857917141800684534637635106761454555997139077<122>
factorization results 素因数分解の結果
Number: n
N=66855606423951747692754886999491316038078628006685560642395174769275488699949131603807862800668556064239517476927548869994913160380786280066855606423951747692754887  ( 164 digits)
SNFS difficulty: 167 digits.
Divisors found:

Tue Apr 26 08:00:34 2022  p42 factor: 980794808191513354551353937152851634765531
Tue Apr 26 08:00:34 2022  p122 factor: 68164723003812325368907280531267978003786780271878737862939161976340693438107857917141800684534637635106761454555997139077
Tue Apr 26 08:00:34 2022  elapsed time 00:09:05 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
#
# N = 46x10^167+35 = 51(166)5
#
n: 66855606423951747692754886999491316038078628006685560642395174769275488699949131603807862800668556064239517476927548869994913160380786280066855606423951747692754887
m: 1000000000000000000000000000000000
deg: 5
c5: 920
c0: 7
skew: 0.38
# Murphy_E = 3.266e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1560433 hash collisions in 13701389 relations (12948595 unique)
Msieve: matrix is 523206 x 523435 (179.4 MB)

Sieving start time : 2022/04/26 07:07:03
Sieving end time  : 2022/04/26 07:50:56

Total sieving time: 0hrs 43min 53secs.

Total relation processing time: 0hrs 3min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 5sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

46×10172+359

c122

name 名前Eric Jeancolas
date 日付May 13, 2022 15:45:10 UTC 2022 年 5 月 14 日 (土) 0 時 45 分 10 秒 (日本時間)
composite number 合成数
56011158259365500462933969974358162911390219860730691938455632244774111091172178321158971184631748588421368931169187014233<122>
prime factors 素因数
8259805057186263973799829156999318778303<40>
6781171937058515548318898526876100016843502193574630760959160446173422649186254311<82>
factorization results 素因数分解の結果
56011158259365500462933969974358162911390219860730691938455632244774111091172178321158971184631748588421368931169187014233=8259805057186263973799829156999318778303*6781171937058515548318898526876100016843502193574630760959160446173422649186254311

cado polynomial
n: 56011158259365500462933969974358162911390219860730691938455632244774111091172178321158971184631748588421368931169187014233
skew: 31253.063
c0: 2591551443602569228426968720
c1: 236353045075850453510116
c2: -12211650642318951312
c3: 511842497967401
c4: 5638818900
c5: 97200
Y0: -234462069051011853715371
Y1: 3036668136357896027
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.177e-06
# f(x) = 97200*x^5+5638818900*x^4+511842497967401*x^3-12211650642318951312*x^2+236353045075850453510116*x+2591551443602569228426968720
# g(x) = 3036668136357896027*x-234462069051011853715371

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

cado log (extracts)
Info:Square Root: Factors: 6781171937058515548318898526876100016843502193574630760959160446173422649186254311 8259805057186263973799829156999318778303
Info:Square Root: Total cpu/real time for sqrt: 237.68/71.6337
Info:Filtering - Singleton removal: Total cpu/real time for purge: 126.12/145.833
Info:Linear Algebra: Total cpu/real time for bwc: 6237.3/1619.79
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3809.03, WCT time 986.57, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25344 iterations)
Info:Linear Algebra: Lingen CPU time 144.66, WCT time 36.8
Info:Linear Algebra: Mksol: CPU time 2201.86,  WCT time 567.39, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 14025025
Info:Lattice Sieving: Average J: 1891 for 359141 special-q, max bucket fill -bkmult 1.0,1s:1.276450
Info:Lattice Sieving: Total time: 42115.8s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.95/1.32256
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2153.52
Info:Polynomial Selection (root optimized): Rootsieve time: 2151
Info:Generate Free Relations: Total cpu/real time for freerel: 127.62/33.234
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 57.35/63.9366
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 63.50000000000001s
Info:Filtering - Merging: Merged matrix has 804974 rows and total weight 81248384 (100.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 61.37/20.0901
Info:Filtering - Merging: Total cpu/real time for replay: 19.93/15.6971
Info:Quadratic Characters: Total cpu/real time for characters: 25.4/9.68851
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 19803/35.240/43.583/48.560/1.032
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16080/34.920/38.615/44.070/0.887
Info:Polynomial Selection (size optimized): Total time: 2278.36
Info:Square Root: Total cpu/real time for sqrt: 237.68/71.6337
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 202.34/198.844
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 161.29999999999998s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 89372.9/24392.9
Info:root: Cleaning up computation data in /tmp/cado.fucg8rx7
6781171937058515548318898526876100016843502193574630760959160446173422649186254311 8259805057186263973799829156999318778303
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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 JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 28, 2022 17:45:19 UTC 2022 年 4 月 29 日 (金) 2 時 45 分 19 秒 (日本時間)

46×10173+359

c131

name 名前Bob Backstrom
date 日付June 6, 2022 15:04:46 UTC 2022 年 6 月 7 日 (火) 0 時 4 分 46 秒 (日本時間)
composite number 合成数
34247626730438322581732519926746502321854284005040657300922977210161107874645511564824105612799268574417191587107319036701435539317<131>
prime factors 素因数
624800666209860761174733645925039476607037223503<48>
54813684719944074105089365701653396723372579197619162191883042186621436907355890939<83>
factorization results 素因数分解の結果
Number: n
N=34247626730438322581732519926746502321854284005040657300922977210161107874645511564824105612799268574417191587107319036701435539317  ( 131 digits)
SNFS difficulty: 173 digits.
Divisors found:

Tue Jun  7 01:00:37 2022  p48 factor: 624800666209860761174733645925039476607037223503
Tue Jun  7 01:00:37 2022  p83 factor: 54813684719944074105089365701653396723372579197619162191883042186621436907355890939
Tue Jun  7 01:00:37 2022  elapsed time 00:20:29 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 46x10^173+35 = 51(172)5
#
n: 34247626730438322581732519926746502321854284005040657300922977210161107874645511564824105612799268574417191587107319036701435539317
m: 10000000000000000000000000000000000
deg: 5
c5: 9200
c0: 7
skew: 0.24
# Murphy_E = 1.819e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1218252 hash collisions in 11883043 relations (11380892 unique)
Msieve: matrix is 831747 x 831972 (292.1 MB)

Sieving start time : 2022/06/06 23:25:49
Sieving end time  : 2022/06/07 00:39:44

Total sieving time: 1hrs 13min 55secs.

Total relation processing time: 0hrs 10min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 35sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 28, 2022 18:23:48 UTC 2022 年 4 月 29 日 (金) 3 時 23 分 48 秒 (日本時間)

46×10174+359

c142

name 名前Bob Backstrom
date 日付May 24, 2022 18:07:38 UTC 2022 年 5 月 25 日 (水) 3 時 7 分 38 秒 (日本時間)
composite number 合成数
3814745443106300912959187588843664169060914901748283925054171458678695987610710926074064431461765846549096315710603426094373246223640463731957<142>
prime factors 素因数
5886283712059545802295404363403077340575951675929751<52>
648073662384099308393309971635098697313613192917077405726172966022084256030208474415898707<90>
factorization results 素因数分解の結果
Number: n
N=3814745443106300912959187588843664169060914901748283925054171458678695987610710926074064431461765846549096315710603426094373246223640463731957  ( 142 digits)
SNFS difficulty: 174 digits.
Divisors found:

Wed May 25 04:02:28 2022  p52 factor: 5886283712059545802295404363403077340575951675929751
Wed May 25 04:02:28 2022  p90 factor: 648073662384099308393309971635098697313613192917077405726172966022084256030208474415898707
Wed May 25 04:02:28 2022  elapsed time 00:15:07 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 46x10^174+35 = 51(173)5
#
n: 3814745443106300912959187588843664169060914901748283925054171458678695987610710926074064431461765846549096315710603426094373246223640463731957
m: 20000000000000000000000000000000000
deg: 5
c5: 2875
c0: 7
skew: 0.30
# Murphy_E = 1.572e-10
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1930541 hash collisions in 14811723 relations (13699348 unique)
Msieve: matrix is 758024 x 758249 (261.3 MB)

Sieving start time : 2022/05/25 02:28:26
Sieving end time  : 2022/05/25 03:46:49

Total sieving time: 1hrs 18min 23secs.

Total relation processing time: 0hrs 8min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 43sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 27, 2022 22:15:36 UTC 2022 年 4 月 28 日 (木) 7 時 15 分 36 秒 (日本時間)

46×10175+359

c174

name 名前Bob Backstrom
date 日付April 27, 2022 00:51:46 UTC 2022 年 4 月 27 日 (水) 9 時 51 分 46 秒 (日本時間)
composite number 合成数
929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929293<174>
prime factors 素因数
200905353410393427991332520553665091347481777333566588942105848044929548795498540953<84>
4625525967915070111116954383921735170107097998187360654275341257228882338413812390398565781<91>
factorization results 素因数分解の結果
Number: n
N=929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929293  ( 174 digits)
SNFS difficulty: 176 digits.
Divisors found:

Wed Apr 27 10:47:13 2022  p84 factor: 200905353410393427991332520553665091347481777333566588942105848044929548795498540953
Wed Apr 27 10:47:13 2022  p91 factor: 4625525967915070111116954383921735170107097998187360654275341257228882338413812390398565781
Wed Apr 27 10:47:13 2022  elapsed time 00:22:12 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 46x10^175+35 = 51(174)5
#
n: 929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929293
m: 100000000000000000000000000000000000
deg: 5
c5: 46
c0: 35
skew: 0.95
# Murphy_E = 1.293e-10
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4672722 hash collisions in 32417200 relations (29418064 unique)
Msieve: matrix is 831527 x 831754 (281.6 MB)

Sieving start time : 2022/04/27 08:43:13
Sieving end time  : 2022/04/27 10:24:30

Total sieving time: 1hrs 41min 17secs.

Total relation processing time: 0hrs 10min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 30sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

46×10177+359

c128

name 名前Eric Jeancolas
date 日付June 10, 2022 05:49:00 UTC 2022 年 6 月 10 日 (金) 14 時 49 分 0 秒 (日本時間)
composite number 合成数
13138321091242035478532411147145142741802207175237372662093760356566765847918375970452012424089006346835785757777572242984486983<128>
prime factors 素因数
75778940050707275359993035149004145160643541471571582849<56>
173376944602953841891641297193667005041726979923535348209687262620928967<72>
factorization results 素因数分解の結果
13138321091242035478532411147145142741802207175237372662093760356566765847918375970452012424089006346835785757777572242984486983=75778940050707275359993035149004145160643541471571582849*173376944602953841891641297193667005041726979923535348209687262620928967

cado polynomial
n: 13138321091242035478532411147145142741802207175237372662093760356566765847918375970452012424089006346835785757777572242984486983
skew: 0.38
type: snfs
c0: 7
c5: 920
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 920*x^5+7
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6500000
tasks.lim1 = 6500000
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: 173376944602953841891641297193667005041726979923535348209687262620928967 75778940050707275359993035149004145160643541471571582849
Info:Square Root: Total cpu/real time for sqrt: 199.79/62.8251
Info:Filtering - Singleton removal: Total cpu/real time for purge: 136.29/133.199
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22428551
Info:Lattice Sieving: Average J: 1893.91 for 734741 special-q, max bucket fill -bkmult 1.0,1s:1.179940
Info:Lattice Sieving: Total time: 121222s
Info:Linear Algebra: Total cpu/real time for bwc: 12160.4/3128.34
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7686.03, WCT time 1966.31, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (27904 iterations)
Info:Linear Algebra: Lingen CPU time 155.3, WCT time 39.47
Info:Linear Algebra: Mksol: CPU time 4176.47,  WCT time 1070.57, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13824 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 119.62/32.5367
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.81/103.852
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 103.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 215.46/184.665
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 166.7s
Info:Filtering - Merging: Merged matrix has 884737 rows and total weight 150842158 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 205.73/57.3175
Info:Filtering - Merging: Total cpu/real time for replay: 30.71/26.0178
Info:Generate Factor Base: Total cpu/real time for makefb: 2.81/1.52981
Info:Quadratic Characters: Total cpu/real time for characters: 29.39/11.9865
Info:Square Root: Total cpu/real time for sqrt: 199.79/62.8251
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 239026/64638.7
Info:root: Cleaning up computation data in /tmp/cado.c2o_weiq
173376944602953841891641297193667005041726979923535348209687262620928967 75778940050707275359993035149004145160643541471571582849
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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 JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62078Taiyo KodamaApril 27, 2022 06:03:38 UTC 2022 年 4 月 27 日 (水) 15 時 3 分 38 秒 (日本時間)

46×10178+359

c107

name 名前Eric Jeancolas
date 日付April 25, 2022 15:06:34 UTC 2022 年 4 月 26 日 (火) 0 時 6 分 34 秒 (日本時間)
composite number 合成数
20913821440560408406806720712925586113135447377230057160671064158729457810480221339576652144211079191751553<107>
prime factors 素因数
5037671751651797333127756119210699371463<40>
4151485541649869438315632270633175165836392524459995348796320077431<67>
factorization results 素因数分解の結果
20913821440560408406806720712925586113135447377230057160671064158729457810480221339576652144211079191751553=5037671751651797333127756119210699371463*4151485541649869438315632270633175165836392524459995348796320077431

cado polynomial
n: 20913821440560408406806720712925586113135447377230057160671064158729457810480221339576652144211079191751553
skew: 2821.715
c0: -37181772612348438637800
c1: -1415657506705292577
c2: -8045167768786727
c3: -5408677076018
c4: 1121539062
c5: -234360
Y0: -221933167033685638778
Y1: 258075976557151
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.062e-06
# f(x) = -234360*x^5+1121539062*x^4-5408677076018*x^3-8045167768786727*x^2-1415657506705292577*x-37181772612348438637800
# g(x) = 258075976557151*x-221933167033685638778

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 4151485541649869438315632270633175165836392524459995348796320077431 5037671751651797333127756119210699371463
Info:Square Root: Total cpu/real time for sqrt: 65.7/19.6093
Info:Filtering - Singleton removal: Total cpu/real time for purge: 31.22/35.3995
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4842660
Info:Lattice Sieving: Average J: 1892.98 for 50095 special-q, max bucket fill -bkmult 1.0,1s:1.302210
Info:Lattice Sieving: Total time: 4754.19s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.46/0.411288
Info:Linear Algebra: Total cpu/real time for bwc: 576.93/150.66
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 339.43, WCT time 87.23, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7040 iterations)
Info:Linear Algebra: Lingen CPU time 29.82, WCT time 7.61
Info:Linear Algebra: Mksol: CPU time 191.42,  WCT time 49.27, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3584 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 64.04/16.9564
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 18.52/19.1954
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.0s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 173.52
Info:Polynomial Selection (root optimized): Rootsieve time: 172.92
Info:Filtering - Merging: Merged matrix has 224416 rows and total weight 32662594 (145.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 29.17/9.05661
Info:Filtering - Merging: Total cpu/real time for replay: 7.15/5.6925
Info:Quadratic Characters: Total cpu/real time for characters: 8.38/3.21615
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10105/30.970/37.689/43.460/1.110
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7844/29.710/33.412/38.130/0.911
Info:Polynomial Selection (size optimized): Total time: 500.28
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 53.83/56.7563
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 40.9s
Info:Square Root: Total cpu/real time for sqrt: 65.7/19.6093
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 10060.1/2891.44
Info:root: Cleaning up computation data in /tmp/cado._z6kvfhe
4151485541649869438315632270633175165836392524459995348796320077431 5037671751651797333127756119210699371463
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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 JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

46×10181+359

c156

name 名前Bob Backstrom
date 日付April 28, 2022 13:44:22 UTC 2022 年 4 月 28 日 (木) 22 時 44 分 22 秒 (日本時間)
composite number 合成数
172985339843008366041916879244471984527269466900087819230359124913650762320129926526963471551245218737049425205143272000256838544420265277876897685140686057<156>
prime factors 素因数
6004793534963419543842996168824417983<37>
26148669132605619818233582991732473370383031361500649150997<59>
1101695637687430868121900167481836657308853691851155700747707<61>
factorization results 素因数分解の結果
Number: n
N=172985339843008366041916879244471984527269466900087819230359124913650762320129926526963471551245218737049425205143272000256838544420265277876897685140686057  ( 156 digits)
SNFS difficulty: 181 digits.
Divisors found:

Thu Apr 28 23:39:44 2022  found factor: 26148669132605619818233582991732473370383031361500649150997
Thu Apr 28 23:40:26 2022  p37 factor: 6004793534963419543842996168824417983
Thu Apr 28 23:40:26 2022  p59 factor: 26148669132605619818233582991732473370383031361500649150997
Thu Apr 28 23:40:26 2022  p61 factor: 1101695637687430868121900167481836657308853691851155700747707
Thu Apr 28 23:40:26 2022  elapsed time 00:18:37 (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 = 46x10^181+35 = 51(180)5
#
n: 172985339843008366041916879244471984527269466900087819230359124913650762320129926526963471551245218737049425205143272000256838544420265277876897685140686057
m: 1000000000000000000000000000000000000
deg: 5
c5: 92
c0: 7
skew: 0.60
# Murphy_E = 9.82e-11
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3398653 hash collisions in 31340710 relations (29891854 unique)
Msieve: matrix is 806030 x 806260 (275.0 MB)

Sieving start time : 2022/04/28 20:46:39
Sieving end time  : 2022/04/28 23:21:20

Total sieving time: 2hrs 34min 41secs.

Total relation processing time: 0hrs 9min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 25sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

46×10182+359

c183

name 名前Bob Backstrom
date 日付April 28, 2022 23:18:35 UTC 2022 年 4 月 29 日 (金) 8 時 18 分 35 秒 (日本時間)
composite number 合成数
102222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<183>
prime factors 素因数
1887709203523017408533818370715616527718129195997937333093884655930181<70>
54151466778593684908457267021451539084768481853031949257167067156009501289437226854595064312216101207228699801283<113>
factorization results 素因数分解の結果
Number: n
N=102222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223  ( 183 digits)
SNFS difficulty: 182 digits.
Divisors found:

Fri Apr 29 09:14:04 2022  p70 factor: 1887709203523017408533818370715616527718129195997937333093884655930181
Fri Apr 29 09:14:04 2022  p113 factor: 54151466778593684908457267021451539084768481853031949257167067156009501289437226854595064312216101207228699801283
Fri Apr 29 09:14:04 2022  elapsed time 00:19:55 (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 = 46x10^182+35 = 51(181)5
#
n: 102222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223
m: 1000000000000000000000000000000000000
deg: 5
c5: 920
c0: 7
skew: 0.38
# Murphy_E = 8.205e-11
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2969368 hash collisions in 31172049 relations (29491922 unique)
Msieve: matrix is 867540 x 867770 (296.1 MB)

Sieving start time : 2022/04/29 05:52:16
Sieving end time  : 2022/04/29 08:53:40

Total sieving time: 3hrs 1min 24secs.

Total relation processing time: 0hrs 11min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 56sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

46×10183+359

c177

name 名前Bob Backstrom
date 日付April 29, 2022 02:50:47 UTC 2022 年 4 月 29 日 (金) 11 時 50 分 47 秒 (日本時間)
composite number 合成数
128288574774313553982151963589806039248801788197710486794761971914200656968580301320021106817208846953027124401974790653613973515074737228394785164257414204610208900792395298709<177>
prime factors 素因数
59036337006994278242894459620974413341646267432602379422723<59>
2173044285574741495474395952364035256245601387856494328060432114860347563998871956373406065485602406084271286711694983<118>
factorization results 素因数分解の結果
Number: n
N=128288574774313553982151963589806039248801788197710486794761971914200656968580301320021106817208846953027124401974790653613973515074737228394785164257414204610208900792395298709  ( 177 digits)
SNFS difficulty: 183 digits.
Divisors found:

Fri Apr 29 12:47:14 2022  p59 factor: 59036337006994278242894459620974413341646267432602379422723
Fri Apr 29 12:47:14 2022  p118 factor: 2173044285574741495474395952364035256245601387856494328060432114860347563998871956373406065485602406084271286711694983
Fri Apr 29 12:47:14 2022  elapsed time 00:21:02 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.306).
Factorization parameters were as follows:
#
# N = 46x10^183+35 = 51(182)5
#
n: 128288574774313553982151963589806039248801788197710486794761971914200656968580301320021106817208846953027124401974790653613973515074737228394785164257414204610208900792395298709
m: 1000000000000000000000000000000000000
deg: 5
c5: 9200
c0: 7
skew: 0.24
# Murphy_E = 7.202e-11
type: snfs
lss: 1
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3598613 hash collisions in 31128208 relations (29394253 unique)
Msieve: matrix is 894302 x 894527 (306.9 MB)

Sieving start time : 2022/04/29 09:16:18
Sieving end time  : 2022/04/29 12:25:41

Total sieving time: 3hrs 9min 23secs.

Total relation processing time: 0hrs 12min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 2sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,8200000,8200000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

46×10184+359

c121

name 名前Eric Jeancolas
date 日付May 1, 2022 20:54:22 UTC 2022 年 5 月 2 日 (月) 5 時 54 分 22 秒 (日本時間)
composite number 合成数
1991947415488051464636949509536640867137393931541876919330887584139752839280305477648604867295004673398854995870643131121<121>
prime factors 素因数
1040685389722163279923314836485663464394274198821833575965787<61>
1914072624791870216125254132049506792522661354190385515288483<61>
factorization results 素因数分解の結果
1991947415488051464636949509536640867137393931541876919330887584139752839280305477648604867295004673398854995870643131121=1040685389722163279923314836485663464394274198821833575965787*1914072624791870216125254132049506792522661354190385515288483

cado polynomial
n: 1991947415488051464636949509536640867137393931541876919330887584139752839280305477648604867295004673398854995870643131121
skew: 70843.381
c0: -1944690937345626804487534680
c1: -387897122442773355052518
c2: -7797769526939098509
c3: 99179068623409
c4: -297729136
c5: 4440
Y0: -248091505356684127361857
Y1: 237217678922392157
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.367e-06
# f(x) = 4440*x^5-297729136*x^4+99179068623409*x^3-7797769526939098509*x^2-387897122442773355052518*x-1944690937345626804487534680
# g(x) = 237217678922392157*x-248091505356684127361857

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

cado log (extracts)
Info:Square Root: Factors: 1914072624791870216125254132049506792522661354190385515288483 1040685389722163279923314836485663464394274198821833575965787
Info:Square Root: Total cpu/real time for sqrt: 230.93/69.8983
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 162.59/151.327
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 127.89999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 84.34/99.8592
Info:Linear Algebra: Total cpu/real time for bwc: 6050.3/1573.64
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3696.56, WCT time 958.69, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24576 iterations)
Info:Linear Algebra: Lingen CPU time 143.55, WCT time 36.48
Info:Linear Algebra: Mksol: CPU time 2129.56,  WCT time 549.98, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12288 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13759079
Info:Lattice Sieving: Average J: 1901.34 for 298835 special-q, max bucket fill -bkmult 1.0,1s:1.265840
Info:Lattice Sieving: Total time: 35674.7s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.13/1.37239
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2099.17
Info:Polynomial Selection (root optimized): Rootsieve time: 2096.78
Info:Generate Free Relations: Total cpu/real time for freerel: 126.55/32.9269
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 55.26/60.8213
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 60.5s
Info:Filtering - Merging: Merged matrix has 784565 rows and total weight 79582048 (101.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 59.22/19.6704
Info:Filtering - Merging: Total cpu/real time for replay: 19.68/15.62
Info:Quadratic Characters: Total cpu/real time for characters: 25.41/9.73348
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20146/35.350/43.008/50.340/1.057
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16130/34.610/38.092/43.500/0.849
Info:Polynomial Selection (size optimized): Total time: 2260.6
Info:Square Root: Total cpu/real time for sqrt: 230.93/69.8983
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 77119.8/21041.6
Info:root: Cleaning up computation data in /tmp/cado.l63yigvq
1914072624791870216125254132049506792522661354190385515288483 1040685389722163279923314836485663464394274198821833575965787
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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 JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 25, 2022 17:08:48 UTC 2022 年 4 月 26 日 (火) 2 時 8 分 48 秒 (日本時間)

46×10186+359

c148

name 名前Bob Backstrom
date 日付May 3, 2022 08:27:31 UTC 2022 年 5 月 3 日 (火) 17 時 27 分 31 秒 (日本時間)
composite number 合成数
5203165441746295280871060300989770957632702503548425069620305131595695476446508497001321144986518972954294966155594680776835009871527038364578367073<148>
prime factors 素因数
899911988448825677564882409603749138707049922970644234619510674686289241<72>
5781860346937891767557090201461554518356454811682577313422970983040253665353<76>
factorization results 素因数分解の結果
Number: n
N=5203165441746295280871060300989770957632702503548425069620305131595695476446508497001321144986518972954294966155594680776835009871527038364578367073  ( 148 digits)
SNFS difficulty: 186 digits.
Divisors found:

Tue May  3 18:23:54 2022  p72 factor: 899911988448825677564882409603749138707049922970644234619510674686289241
Tue May  3 18:23:54 2022  p76 factor: 5781860346937891767557090201461554518356454811682577313422970983040253665353
Tue May  3 18:23:54 2022  elapsed time 00:27:29 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
#
# N = 46x10^186+35 = 51(185)5
#
n: 5203165441746295280871060300989770957632702503548425069620305131595695476446508497001321144986518972954294966155594680776835009871527038364578367073
m: 10000000000000000000000000000000000000
deg: 5
c5: 92
c0: 7
skew: 0.60
# Murphy_E = 6.144e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3186609 hash collisions in 29832390 relations (28480193 unique)
Msieve: matrix is 992244 x 992469 (344.4 MB)

Sieving start time : 2022/05/03 14:41:22
Sieving end time  : 2022/05/03 17:55:56

Total sieving time: 3hrs 14min 34secs.

Total relation processing time: 0hrs 15min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 19sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 30, 2022 15:35:51 UTC 2022 年 5 月 1 日 (日) 0 時 35 分 51 秒 (日本時間)

46×10187+359

c180

name 名前Bob Backstrom
date 日付May 1, 2022 10:24:45 UTC 2022 年 5 月 1 日 (日) 19 時 24 分 45 秒 (日本時間)
composite number 合成数
211617950132869505429919933727514549084851389074830911104821917640966635005171034124178825457765451676237168968254544945742296182511778051303179104952173089663636465535007015560583<180>
prime factors 素因数
17729745468267839408475395365142136103522834833981324703819<59>
11935757933559559157755294745604618503427634647181305296863893643036514605130607591504122542029395595578343973556145519157<122>
factorization results 素因数分解の結果
Number: n
N=211617950132869505429919933727514549084851389074830911104821917640966635005171034124178825457765451676237168968254544945742296182511778051303179104952173089663636465535007015560583  ( 180 digits)
SNFS difficulty: 187 digits.
Divisors found:

Sun May  1 20:21:00 2022  p59 factor: 17729745468267839408475395365142136103522834833981324703819
Sun May  1 20:21:00 2022  p122 factor: 11935757933559559157755294745604618503427634647181305296863893643036514605130607591504122542029395595578343973556145519157
Sun May  1 20:21:00 2022  elapsed time 00:27:26 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 46x10^187+35 = 51(186)5
#
n: 211617950132869505429919933727514549084851389074830911104821917640966635005171034124178825457765451676237168968254544945742296182511778051303179104952173089663636465535007015560583
m: 10000000000000000000000000000000000000
deg: 5
c5: 920
c0: 7
skew: 0.38
# Murphy_E = 5.132e-11
type: snfs
lss: 1
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3300560 hash collisions in 29854181 relations (28357240 unique)
Msieve: matrix is 1042431 x 1042657 (363.1 MB)

Sieving start time : 2022/05/01 16:22:30
Sieving end time  : 2022/05/01 19:53:05

Total sieving time: 3hrs 30min 35secs.

Total relation processing time: 0hrs 17min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 42sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 30, 2022 17:12:57 UTC 2022 年 5 月 1 日 (日) 2 時 12 分 57 秒 (日本時間)

46×10188+359

c171

name 名前Bob Backstrom
date 日付May 2, 2022 17:15:09 UTC 2022 年 5 月 3 日 (火) 2 時 15 分 9 秒 (日本時間)
composite number 合成数
510514969265188876922163302883580429235147400344096857654944009116655601558720429513425772472209951248602090667768284396708263068425216469990358865940031982668767472298521<171>
prime factors 素因数
11713761657414677740412750312203721638978851968089<50>
43582495887820861950960708841456033426321104690905154700248723401995005111639487844576717815298791044878507825924693527489<122>
factorization results 素因数分解の結果
Number: n
N=510514969265188876922163302883580429235147400344096857654944009116655601558720429513425772472209951248602090667768284396708263068425216469990358865940031982668767472298521  ( 171 digits)
SNFS difficulty: 188 digits.
Divisors found:

Tue May  3 02:59:36 2022  p50 factor: 11713761657414677740412750312203721638978851968089
Tue May  3 02:59:36 2022  p122 factor: 43582495887820861950960708841456033426321104690905154700248723401995005111639487844576717815298791044878507825924693527489
Tue May  3 02:59:36 2022  elapsed time 00:29:00 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 46x10^188+35 = 51(187)5
#
n: 510514969265188876922163302883580429235147400344096857654944009116655601558720429513425772472209951248602090667768284396708263068425216469990358865940031982668767472298521
m: 10000000000000000000000000000000000000
deg: 5
c5: 9200
c0: 7
skew: 0.24
# Murphy_E = 4.503e-11
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3299642 hash collisions in 29746629 relations (28236986 unique)
Msieve: matrix is 1102646 x 1102871 (385.0 MB)

Sieving start time : 2022/05/02 21:16:03
Sieving end time  : 2022/05/03 02:29:25

Total sieving time: 5hrs 13min 22secs.

Total relation processing time: 0hrs 19min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 31sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 1, 2022 15:59:06 UTC 2022 年 5 月 2 日 (月) 0 時 59 分 6 秒 (日本時間)

46×10190+359

c137

name 名前Bob Backstrom
date 日付August 12, 2022 22:36:04 UTC 2022 年 8 月 13 日 (土) 7 時 36 分 4 秒 (日本時間)
composite number 合成数
11736709801258830932242352163814899622282816788412019254100137510504522741598018138358421884857858694593282481076050807509215525110747671<137>
prime factors 素因数
2215228811700511357218078710361034845107309<43>
5298193007994146459938326289978692903997652106513135167070263668636362703920008959051978483219<94>
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 11736709801258830932242352163814899622282816788412019254100137510504522741598018138358421884857858694593282481076050807509215525110747671 (137 digits)
Using B1=11370000, B2=35133715900, polynomial Dickson(12), sigma=1:544544374
Step 1 took 21625ms
Step 2 took 9815ms
********** Factor found in step 2: 2215228811700511357218078710361034845107309
Found prime factor of 43 digits: 2215228811700511357218078710361034845107309
Prime cofactor 5298193007994146459938326289978692903997652106513135167070263668636362703920008959051978483219 has 94 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 2, 2022 15:26:12 UTC 2022 年 5 月 3 日 (火) 0 時 26 分 12 秒 (日本時間)

46×10194+359

c185

name 名前Bob Backstrom
date 日付May 3, 2022 16:39:51 UTC 2022 年 5 月 4 日 (水) 1 時 39 分 51 秒 (日本時間)
composite number 合成数
25328648861065859270546826626855576529926106661509945375288519695683901250127265757796155139190159298279458848035296067741517190737711068631646715611660176764922045601267115501650795777<185>
prime factors 素因数
4807282296531341004541251985684560735531035063<46>
4689906448614694151045618762719312467723305786354989<52>
1123435692594935282784567193380933134464102019483245322385379398273292312346181506766211<88>
factorization results 素因数分解の結果
Number: n
N=5268808299304902184188035551968600489857444533466077675074012597919237805467471166191234753011490389628230732915512510170194192502276476679  ( 139 digits)
SNFS difficulty: 194 digits.
Divisors found:

Wed May  4 01:48:44 2022  p52 factor: 4689906448614694151045618762719312467723305786354989
Wed May  4 01:48:44 2022  p88 factor: 1123435692594935282784567193380933134464102019483245322385379398273292312346181506766211
Wed May  4 01:48:44 2022  elapsed time 00:57:19 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 46x10^194+35 = 51(193)5
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 25328648861065859270546826626855576529926106661509945375288519695683901250127265757796155139190159298279458848035296067741517190737711068631646715611660176764922045601267115501650795777 (185 digits)
# Using B1=20310000, B2=70272629710, polynomial Dickson(12), sigma=1:3481197137
# Step 1 took 41480ms
# Step 2 took 14371ms
# ********** Factor found in step 2: 4807282296531341004541251985684560735531035063
# Found prime factor of 46 digits: 4807282296531341004541251985684560735531035063
# Composite cofactor 5268808299304902184188035551968600489857444533466077675074012597919237805467471166191234753011490389628230732915512510170194192502276476679 has 139 digits
# 
n: 5268808299304902184188035551968600489857444533466077675074012597919237805467471166191234753011490389628230732915512510170194192502276476679
m: 200000000000000000000000000000000000000
deg: 5
c5: 2875
c0: 7
skew: 0.30
# Murphy_E = 2.411e-11
type: snfs
lss: 1
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3613983 hash collisions in 29809326 relations (27899144 unique)
Msieve: matrix is 1495240 x 1495465 (520.3 MB)

Sieving start time : 2022/05/03 18:25:27
Sieving end time  : 2022/05/04 00:50:36

Total sieving time: 6hrs 25min 9secs.

Total relation processing time: 0hrs 42min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 24sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12400000,12400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 2, 2022 16:48:17 UTC 2022 年 5 月 3 日 (火) 1 時 48 分 17 秒 (日本時間)

46×10195+359

c183

name 名前Bob Backstrom
date 日付May 4, 2022 21:14:07 UTC 2022 年 5 月 5 日 (木) 6 時 14 分 7 秒 (日本時間)
composite number 合成数
527485274948151401760735504214969280025772712549530098047010256064690335437710872606279682296069272536404167890847411133181871008850106061379942251219197163337990623272956837876933013<183>
prime factors 素因数
50152342900595446804782742879477843421<38>
10517659683290462885005675829763582814298604963781107138971527561775647132626118630301115968210073162661355484459530408441659435598332160269097753<146>
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 527485274948151401760735504214969280025772712549530098047010256064690335437710872606279682296069272536404167890847411133181871008850106061379942251219197163337990623272956837876933013 (183 digits)
Using B1=18040000, B2=58560416470, polynomial Dickson(12), sigma=1:3461509619
Step 1 took 32547ms
Step 2 took 14437ms
********** Factor found in step 2: 50152342900595446804782742879477843421
Found prime factor of 38 digits: 50152342900595446804782742879477843421
Prime cofactor 10517659683290462885005675829763582814298604963781107138971527561775647132626118630301115968210073162661355484459530408441659435598332160269097753 has 146 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

46×10196+359

c106

name 名前Eric Jeancolas
date 日付April 25, 2022 12:10:53 UTC 2022 年 4 月 25 日 (月) 21 時 10 分 53 秒 (日本時間)
composite number 合成数
7489567677840598046334063802770672454066808750940633427099057219407271373855917773845182744985604955202861<106>
prime factors 素因数
2300698878110306456717461633870456171234568906649769<52>
3255344603806736205872932913524630781128067023760535269<55>
factorization results 素因数分解の結果
7489567677840598046334063802770672454066808750940633427099057219407271373855917773845182744985604955202861=2300698878110306456717461633870456171234568906649769*3255344603806736205872932913524630781128067023760535269

cado polynomial
n: 7489567677840598046334063802770672454066808750940633427099057219407271373855917773845182744985604955202861
skew: 5378.718
c0: -279535165234221402803214
c1: -67965536107672203943
c2: 42009164479365654
c3: 284633858869
c4: -393831246
c5: 65880
Y0: -233932684295864191868
Y1: 1036873547737777
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 2.868e-06
# f(x) = 65880*x^5-393831246*x^4+284633858869*x^3+42009164479365654*x^2-67965536107672203943*x-279535165234221402803214
# g(x) = 1036873547737777*x-233932684295864191868

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2300698878110306456717461633870456171234568906649769 3255344603806736205872932913524630781128067023760535269
Info:Square Root: Total cpu/real time for sqrt: 70.65/21.4097
Info:Filtering - Singleton removal: Total cpu/real time for purge: 51.31/58.2337
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5183367
Info:Lattice Sieving: Average J: 1895.62 for 65976 special-q, max bucket fill -bkmult 1.0,1s:1.340860
Info:Lattice Sieving: Total time: 5999.17s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.42/0.705644
Info:Linear Algebra: Total cpu/real time for bwc: 699.27/181.98
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 416.58, WCT time 107.08, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7552 iterations)
Info:Linear Algebra: Lingen CPU time 33.16, WCT time 8.48
Info:Linear Algebra: Mksol: CPU time 231.47,  WCT time 59.39, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3840 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.68/22.4874
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.99/20.6606
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.0s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 141.18
Info:Polynomial Selection (root optimized): Rootsieve time: 140.57
Info:Filtering - Merging: Merged matrix has 238936 rows and total weight 34882215 (146.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 31.35/9.70763
Info:Filtering - Merging: Total cpu/real time for replay: 7.58/6.09452
Info:Quadratic Characters: Total cpu/real time for characters: 9.03/3.46525
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11432/30.130/37.029/44.260/1.453
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9195/29.790/33.459/37.930/0.910
Info:Polynomial Selection (size optimized): Total time: 505.64
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 74.83/81.8259
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 57.6s
Info:Square Root: Total cpu/real time for sqrt: 70.65/21.4097
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 12444.2/3546.48
Info:root: Cleaning up computation data in /tmp/cado.b3hq5v6a
2300698878110306456717461633870456171234568906649769 3255344603806736205872932913524630781128067023760535269
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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 JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

46×10199+359

c180

name 名前ivelive
date 日付June 24, 2022 02:11:11 UTC 2022 年 6 月 24 日 (金) 11 時 11 分 11 秒 (日本時間)
composite number 合成数
975946127933616735697776181447295743482359767881717228288758742928349414569054157546329442122463389352807604373995650286779892506669023481021701959487433019430937974175567216680681<180>
prime factors 素因数
12423939337281227696513811768955151933<38>
composite cofactor 合成数の残り
78553677818197259427931836105613076008018979724168812266033837001094944881579157112433283422884300504212688166203950501743687129877367089238557<143>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [P+1]
Input number is 975946127933616735697776181447295743482359767881717228288758742928349414569054157546329442122463389352807604373995650286779892506669023481021701959487433019430937974175567216680681 (180 digits)
Using B1=1000000000, B2=205702371522480, polynomial x^1, x0=2272728916
Step 1 took 1057125ms
Step 2 took 225906ms
********** Factor found in step 2: 12423939337281227696513811768955151933
Found prime factor of 38 digits: 12423939337281227696513811768955151933
Composite cofactor 78553677818197259427931836105613076008018979724168812266033837001094944881579157112433283422884300504212688166203950501743687129877367089238557 has 143 digits

c143

name 名前ivelive
date 日付June 25, 2022 10:45:38 UTC 2022 年 6 月 25 日 (土) 19 時 45 分 38 秒 (日本時間)
composite number 合成数
78553677818197259427931836105613076008018979724168812266033837001094944881579157112433283422884300504212688166203950501743687129877367089238557<143>
prime factors 素因数
32877189238385993622334668879418229563693065773<47>
2389306374356399061635218222484302747092750539472266210160091234510572842042195771383440809804209<97>
factorization results 素因数分解の結果
prp47 = 32877189238385993622334668879418229563693065773 (curve 82 stg2 B1=11000000 sigma=979718023 thread=3)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e64480iveliveJune 25, 2022 10:02:42 UTC 2022 年 6 月 25 日 (土) 19 時 2 分 42 秒 (日本時間)

46×10200+359

c184

name 名前Eric Jeancolas
date 日付October 28, 2022 10:22:04 UTC 2022 年 10 月 28 日 (金) 19 時 22 分 4 秒 (日本時間)
composite number 合成数
8648933572117439319230836128537962847450791902595830231920878821468661353155946354642181105295272991393360307516247450632635502650833859869460235840049040514577841588694671018927476129<184>
prime factors 素因数
536966113754096917129849289800120541088234537852833662558095535535700832316284534824389<87>
16107037950030138414003829800074185030527792902182705904762890679635059691119786048678762024495661<98>
factorization results 素因数分解の結果
8648933572117439319230836128537962847450791902595830231920878821468661353155946354642181105295272991393360307516247450632635502650833859869460235840049040514577841588694671018927476129=536966113754096917129849289800120541088234537852833662558095535535700832316284534824389*16107037950030138414003829800074185030527792902182705904762890679635059691119786048678762024495661

cado polynomial
n: 8648933572117439319230836128537962847450791902595830231920878821468661353155946354642181105295272991393360307516247450632635502650833859869460235840049040514577841588694671018927476129
skew: 0.95
type: snfs
c0: 35
c5: 46
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 46*x^5+35
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16100000
tasks.lim1 = 16100000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 536966113754096917129849289800120541088234537852833662558095535535700832316284534824389 16107037950030138414003829800074185030527792902182705904762890679635059691119786048678762024495661
Info:Square Root: Total cpu/real time for sqrt: 1039.25/328.949
Info:Generate Free Relations: Total cpu/real time for freerel: 237.43/61.8663
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 887.43/745.434
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 591.6s
Info:Square Root: Total cpu/real time for sqrt: 1039.25/328.949
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 211.61/239.515
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 238.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 655.45/707.97
Info:Filtering - Merging: Merged matrix has 3597262 rows and total weight 614715044 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1041.93/286.229
Info:Filtering - Merging: Total cpu/real time for replay: 147.28/131.369
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 48827588
Info:Lattice Sieving: Average J: 1893.79 for 4704766 special-q, max bucket fill -bkmult 1.0,1s:1.136950
Info:Lattice Sieving: Total time: 1.68192e+06s
Info:Linear Algebra: Total cpu/real time for bwc: 245259/62879.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 156480.33, WCT time 39872.3, iteration CPU time 0.34, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (112640 iterations)
Info:Linear Algebra: Lingen CPU time 784.56, WCT time 199.06
Info:Linear Algebra: Mksol: CPU time 86537.43,  WCT time 22210.85, iteration CPU time 0.37, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (56320 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 130.74/58.1385
Info:Generate Factor Base: Total cpu/real time for makefb: 6.83/2.97813
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.51402e+06/278274
Info:root: Cleaning up computation data in /tmp/cado.14p_czuu
536966113754096917129849289800120541088234537852833662558095535535700832316284534824389 16107037950030138414003829800074185030527792902182705904762890679635059691119786048678762024495661
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 JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 16, 2022 12:35:13 UTC 2022 年 6 月 16 日 (木) 21 時 35 分 13 秒 (日本時間)

46×10202+359

c203

name 名前ivelive
date 日付July 3, 2022 02:43:19 UTC 2022 年 7 月 3 日 (日) 11 時 43 分 19 秒 (日本時間)
composite number 合成数
10222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<203>
prime factors 素因数
419787733070907546436804194393145009<36>
composite cofactor 合成数の残り
24350931237182096111279904718070991979252278265372657345689021312227467086081247276206765005810946682567032401059615951270545894398743287736528004173953847729510045247<167>
factorization results 素因数分解の結果
prp36 = 419787733070907546436804194393145009 (curve 9 stg1 B1=110000000 sigma=2553319760 thread=5)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e64480iveliveJuly 3, 2022 02:42:51 UTC 2022 年 7 月 3 日 (日) 11 時 42 分 51 秒 (日本時間)

46×10205+359

c161

composite cofactor 合成数の残り
16628620622424136826497752423894428924096770168516275763706715811759645038041007023443406838298156142144718937092736713714268069502468764588486040615545934802191<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 16, 2022 12:35:22 UTC 2022 年 6 月 16 日 (木) 21 時 35 分 22 秒 (日本時間)

46×10206+359

c203

composite cofactor 合成数の残り
52234145233634247430874921932663373644467154942372111508544824845284732867768125816158519275535116107420655197865213194799295974564242321012888207573951058876965877476863680236189178447737466643956168739<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e60--
5043e60--
5511e74096 / 17769iveliveJuly 4, 2022 01:59:41 UTC 2022 年 7 月 4 日 (月) 10 時 59 分 41 秒 (日本時間)

46×10208+359

c187

composite cofactor 合成数の残り
1176016524163721002300150295116882455177359091452841686304899182534571050248662445654803089272522188587891048066117564542833103945544685335355139998709854291052119950932961398778691313451<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e60--
5043e60--
5511e74096 / 17769iveliveMay 9, 2022 01:19:14 UTC 2022 年 5 月 9 日 (月) 10 時 19 分 14 秒 (日本時間)

46×10209+359

c182

composite cofactor 合成数の残り
19330783224101145822937152390052012740612350297924262235153140575648366718005979290466493008247701238657600873495009398692334762653302292950091559162040281676029771126111501493988857<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e60--
5043e60--
5511e74096 / 17769iveliveMay 10, 2022 17:04:40 UTC 2022 年 5 月 11 日 (水) 2 時 4 分 40 秒 (日本時間)

46×10210+359

c172

name 名前ivelive
date 日付June 25, 2022 13:45:46 UTC 2022 年 6 月 25 日 (土) 22 時 45 分 46 秒 (日本時間)
composite number 合成数
1778322115776338323212743863211103014740430745907003855751669246670464389690837772975184905020746329016326362973570845469251574859699511277363333513085148537547396431515733<172>
prime factors 素因数
40284698549302511820095218135060441216486531427399<50>
44143860567801819735204408647145370799796696188053181796037896083607656017510872155072890205384620903991545392351262120067<122>
factorization results 素因数分解の結果
 prp50 = 40284698549302511820095218135060441216486531427399 (curve 95 stg2 B1=43000000 sigma=3517908501 thread=1)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 16, 2022 12:35:42 UTC 2022 年 6 月 16 日 (木) 21 時 35 分 42 秒 (日本時間)

46×10211+359

c189

name 名前ivelive
date 日付May 10, 2022 08:45:22 UTC 2022 年 5 月 10 日 (火) 17 時 45 分 22 秒 (日本時間)
composite number 合成数
424809660335749135147087488708237620508460313864564471884107710666758009332656748060693155811602594816813561846733116420789155593271151147881742286854995748694353150967645000039668407518671<189>
prime factors 素因数
1061936823706413155954899868044140263<37>
3345011192158839740882290823986974191<37>
316276505824933489548195298936748054627084011432686377<54>
378121346887144628226662088514634344892682064590413917844529631<63>
factorization results 素因数分解の結果
05/10/22 13:26:32 v1.34.5 @ DESKTOP-RJPVCOL, Starting factorization of 424809660335749135147087488708237620508460313864564471884107710666758009332656748060693155811602594816813561846733116420789155593271151147881742286854995748694353150967645000039668407518671
05/10/22 13:26:32 v1.34.5 @ DESKTOP-RJPVCOL, using pretesting plan: normal
05/10/22 13:26:32 v1.34.5 @ DESKTOP-RJPVCOL, no tune info: using qs/gnfs crossover of 95 digits
05/10/22 13:26:32 v1.34.5 @ DESKTOP-RJPVCOL, input indicated to have been pretested to t50.70
05/10/22 13:26:32 v1.34.5 @ DESKTOP-RJPVCOL, ****************************
05/10/22 13:26:32 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 3, starting 1000 iterations on C189
05/10/22 13:26:32 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 2, starting 1000 iterations on C189
05/10/22 13:26:32 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 1, starting 1000 iterations on C189
05/10/22 13:26:33 v1.34.5 @ DESKTOP-RJPVCOL, current ECM pretesting depth: 50.78
05/10/22 13:26:33 v1.34.5 @ DESKTOP-RJPVCOL, scheduled 17768 curves at B1=110000000 toward target pretesting depth of 58.15
05/10/22 13:59:07 v1.34.5 @ DESKTOP-RJPVCOL, prp37 = 1061936823706413155954899868044140263 (curve 6 stg2 B1=110000000 sigma=1982793460 thread=1)
05/10/22 13:59:07 v1.34.5 @ DESKTOP-RJPVCOL, Finished 48 curves using Lenstra ECM method on C189 input, B1=110M, B2=gmp-ecm default
05/10/22 14:01:05 v1.34.5 @ DESKTOP-RJPVCOL, Starting factorization of 400032893532274317171110222196936302356588153874978429611516917331807230862743901303476961192586797870994768642948401807318952020331016418443153058483417
05/10/22 14:01:05 v1.34.5 @ DESKTOP-RJPVCOL, using pretesting plan: custom
05/10/22 14:01:05 v1.34.5 @ DESKTOP-RJPVCOL, custom pretest ratio is: 0.4000
05/10/22 14:01:05 v1.34.5 @ DESKTOP-RJPVCOL, no tune info: using qs/gnfs crossover of 95 digits
05/10/22 14:01:05 v1.34.5 @ DESKTOP-RJPVCOL, input indicated to have been pretested to t50.70
05/10/22 14:01:05 v1.34.5 @ DESKTOP-RJPVCOL, ****************************
05/10/22 14:01:05 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 3, starting 1000 iterations on C153
05/10/22 14:01:05 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 2, starting 1000 iterations on C153
05/10/22 14:01:05 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 1, starting 1000 iterations on C153
05/10/22 14:01:05 v1.34.5 @ DESKTOP-RJPVCOL, current ECM pretesting depth: 50.78
05/10/22 14:01:05 v1.34.5 @ DESKTOP-RJPVCOL, scheduled 17768 curves at B1=110000000 toward target pretesting depth of 61.20
05/10/22 14:21:11 v1.34.5 @ DESKTOP-RJPVCOL, prp37 = 3345011192158839740882290823986974191 (curve 5 stg2 B1=110000000 sigma=3162975334 thread=2)
05/10/22 14:21:11 v1.34.5 @ DESKTOP-RJPVCOL, Finished 40 curves using Lenstra ECM method on C153 input, B1=110M, B2=gmp-ecm default
05/10/22 14:43:46 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing nfs on c117: 119590898371283694605328885373201489407345995437172424397094486450249102622925422113754932477266376458355116306536887
05/10/22 14:43:46 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing poly selection with 16 threads
05/10/22 14:43:46 v1.34.5 @ DESKTOP-RJPVCOL, nfs: setting deadline of 534 seconds
05/10/22 14:52:08 v1.34.5 @ DESKTOP-RJPVCOL, nfs: completed 54 ranges of size 250 in 502.3879 seconds
05/10/22 14:52:08 v1.34.5 @ DESKTOP-RJPVCOL, nfs: best poly = # norm 4.720834e-011 alpha -7.481152 e 4.652e-010 rroots 3
05/10/22 14:52:08 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
05/10/22 14:57:27 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
05/10/22 15:02:53 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
05/10/22 15:08:18 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
05/10/22 15:13:41 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
05/10/22 15:19:36 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
05/10/22 15:25:23 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
05/10/22 15:31:05 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
05/10/22 15:37:11 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
05/10/22 15:42:58 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
05/10/22 15:48:47 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
05/10/22 15:54:16 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
05/10/22 16:00:00 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
05/10/22 16:05:41 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
05/10/22 16:11:20 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
05/10/22 16:17:04 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
05/10/22 16:22:46 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
05/10/22 16:28:24 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
05/10/22 16:33:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
05/10/22 16:39:38 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
05/10/22 16:45:11 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
05/10/22 16:50:44 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
05/10/22 16:56:20 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
05/10/22 17:01:53 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
05/10/22 17:07:35 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
05/10/22 17:13:12 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
05/10/22 17:18:32 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
05/10/22 17:24:06 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
05/10/22 17:29:45 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
05/10/22 17:35:36 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
05/10/22 17:37:26 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve linear algebra
05/10/22 17:42:45 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve sqrt
05/10/22 17:43:44 v1.34.5 @ DESKTOP-RJPVCOL, prp63 = 378121346887144628226662088514634344892682064590413917844529631
05/10/22 17:43:44 v1.34.5 @ DESKTOP-RJPVCOL, prp54 = 316276505824933489548195298936748054627084011432686377
05/10/22 17:43:44 v1.34.5 @ DESKTOP-RJPVCOL, NFS elapsed time = 10798.5735 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

46×10213+359

c168

composite cofactor 合成数の残り
332708058921933721574000993476232794642678778835422631899332027379976620267262897407786827963941173595398233690135437631013544954334892519013716413567870825430532067061<168>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 16, 2022 12:35:50 UTC 2022 年 6 月 16 日 (木) 21 時 35 分 50 秒 (日本時間)

46×10214+359

c211

name 名前ivelive
date 日付June 19, 2022 08:50:13 UTC 2022 年 6 月 19 日 (日) 17 時 50 分 13 秒 (日本時間)
composite number 合成数
2424050799673280109609253550443970173635812715727346981793270624193080915869628224382789239322319711221774299791847811767185729718335836429267778568229125497325639606882196400811530050325402471477880536452981319<211>
prime factors 素因数
30128979981990435319198606458409186013023<41>
80455787123303006333143934060276713186804739829197223990979445697137516701526715946518342644792344193753645629652309934261409557276321571119790897902478660505476585225753<170>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:444072331
Step 1 took 6859ms
Step 2 took 3172ms
********** Factor found in step 2: 30128979981990435319198606458409186013023
Found prime factor of 41 digits: 30128979981990435319198606458409186013023
Prime cofactor 80455787123303006333143934060276713186804739829197223990979445697137516701526715946518342644792344193753645629652309934261409557276321571119790897902478660505476585225753 has 170 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

46×10218+359

c188

name 名前ivelive
date 日付May 13, 2022 04:53:56 UTC 2022 年 5 月 13 日 (金) 13 時 53 分 56 秒 (日本時間)
composite number 合成数
38773668804557558881613727344436145565204200624297884336175286621047821158791751605311388435407369998361667766622644153303057179845050797462100370731467602298029009559959059585659704599891<188>
prime factors 素因数
2102237604056214057794630713559608108159719233<46>
18443999255719120340446829362378508114491832784778268015793714173874700346103954219491284661948115591787928967148663506809045712971658259598227<143>
factorization results 素因数分解の結果
 prp46 = 2102237604056214057794630713559608108159719233 (curve 12 stg2 B1=110000000 sigma=4138073267 thread=1)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

46×10219+359

c152

composite cofactor 合成数の残り
38256706578437832557858020422052696885347044546137571769141826807136202861540366656233675454830401469020219060977658759511994834729301673669774100753513<152>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 16, 2022 12:35:57 UTC 2022 年 6 月 16 日 (木) 21 時 35 分 57 秒 (日本時間)
4511e64480iveliveJuly 5, 2022 07:19:43 UTC 2022 年 7 月 5 日 (火) 16 時 19 分 43 秒 (日本時間)

46×10220+359

c208

composite cofactor 合成数の残り
1188890797936999237013254849929160576093025734825870646801099089904778914420792848797669962199401951207597638027635579469244342645728788381558192216252167428676605923665066532859639376996779727866134859998367<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e60--
5043e60 / 5985--
5511e7648 / 17769iveliveMay 13, 2022 09:21:35 UTC 2022 年 5 月 13 日 (金) 18 時 21 分 35 秒 (日本時間)

46×10222+359

c222

name 名前ivelive
date 日付June 12, 2022 08:48:34 UTC 2022 年 6 月 12 日 (日) 17 時 48 分 34 秒 (日本時間)
composite number 合成数
340740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740741<222>
prime factors 素因数
1723244711169208076738745257800003351399<40>
197732068192190074722571327409500410345626348016281820706072455628887692463327278769185846255182039442087853433437627161269640802055340770549173468128378602340811889300300688903511859<183>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3641294021
Step 1 took 15938ms
Step 2 took 11547ms
********** Factor found in step 2: 1723244711169208076738745257800003351399
Found prime factor of 40 digits: 1723244711169208076738745257800003351399
Prime cofactor 197732068192190074722571327409500410345626348016281820706072455628887692463327278769185846255182039442087853433437627161269640802055340770549173468128378602340811889300300688903511859 has 183 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

46×10223+359

c205

name 名前ivelive
date 日付July 11, 2022 03:01:28 UTC 2022 年 7 月 11 日 (月) 12 時 1 分 28 秒 (日本時間)
composite number 合成数
3118255855943670786939324144438772328942917888112155768867607010104016674730130759990165036048179219089523457696194749586893534637521951838866722751029354905395341502257039224017249786054946176083294068071<205>
prime factors 素因数
11639573436678063842972532100165551434459<41>
composite cofactor 合成数の残り
267901214155973529967745238513612721838099316126527691886763299270110914074978916886282316223211702723971502937101830540117957666940352566054930089763104436420685669<165>
factorization results 素因数分解の結果
prp41 = 11639573436678063842972532100165551434459 (curve 231 stg2 B1=11000000 sigma=2875483103 thread=0)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e64480iveliveJuly 11, 2022 00:14:03 UTC 2022 年 7 月 11 日 (月) 9 時 14 分 3 秒 (日本時間)

46×10225+359

c172

composite cofactor 合成数の残り
4891750591812540142948106120647457610776278949026240404338892415190507892484235930597458256812718500195350689861736517356488340389090800572517093282407193871101031593900577<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 16, 2022 12:36:06 UTC 2022 年 6 月 16 日 (木) 21 時 36 分 6 秒 (日本時間)

46×10228+359

c207

composite cofactor 合成数の残り
742282825969561349174623850008190262429962996058387148195683688672720027931160076250953762205850352812540607862422295140901407643148750716663731923653396915853271009400025924225567309515422158438022211287549<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62352iveliveJune 19, 2022 11:34:09 UTC 2022 年 6 月 19 日 (日) 20 時 34 分 9 秒 (日本時間)

46×10229+359

c215

composite cofactor 合成数の残り
42588669052398610448431596050509880258281957870898554591833589681291697423877226467486324960885898682270016455867273459075926564130030896711136443140504997601929986722126178839072679684913031196690050965493955663289<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e60--
5043e67560iveliveJune 26, 2022 01:38:48 UTC 2022 年 6 月 26 日 (日) 10 時 38 分 48 秒 (日本時間)

46×10230+359

c191

composite cofactor 合成数の残り
86190121698401884172697612620337507971033050593632906736005625232430106423683123840802804383836788059851371474304533565254649001114678630260121509178292075386693721403966728970618066237077677<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 16, 2022 12:36:14 UTC 2022 年 6 月 16 日 (木) 21 時 36 分 14 秒 (日本時間)

46×10231+359

c164

composite cofactor 合成数の残り
54915362745026811332275433541270588940480141470846772432071983096885914293748329066062113940249028926514172008331322801355960202725462212943080868085551504863125589<164>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 16, 2022 12:36:21 UTC 2022 年 6 月 16 日 (木) 21 時 36 分 21 秒 (日本時間)
4511e60--
5043e67560iveliveJune 27, 2022 06:59:11 UTC 2022 年 6 月 27 日 (月) 15 時 59 分 11 秒 (日本時間)

46×10234+359

c120

name 名前Eric Jeancolas
date 日付May 1, 2022 20:43:40 UTC 2022 年 5 月 2 日 (月) 5 時 43 分 40 秒 (日本時間)
composite number 合成数
324112521907238783472054603778732886687392349554210525893934681791937445096132639199905371087934632154321496837046833631<120>
prime factors 素因数
7575121242901717543553585818369842328532572169144869818623<58>
42786446779442516252825602623927220758733777303740840089886497<62>
factorization results 素因数分解の結果
324112521907238783472054603778732886687392349554210525893934681791937445096132639199905371087934632154321496837046833631=7575121242901717543553585818369842328532572169144869818623*42786446779442516252825602623927220758733777303740840089886497

cado polynomial
n: 324112521907238783472054603778732886687392349554210525893934681791937445096132639199905371087934632154321496837046833631
skew: 64953.266
c0: -6462768737539414109256243720
c1: -3697931854770158801447302
c2: 18144349510279836273
c3: 1426053411048031
c4: 3120114348
c5: -60480
Y0: -180772943516480110733977
Y1: 2250629881313959
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.528e-06
# f(x) = -60480*x^5+3120114348*x^4+1426053411048031*x^3+18144349510279836273*x^2-3697931854770158801447302*x-6462768737539414109256243720
# g(x) = 2250629881313959*x-180772943516480110733977

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

cado log (extracts)
Info:Square Root: Factors: 42786446779442516252825602623927220758733777303740840089886497 7575121242901717543553585818369842328532572169144869818623
Info:Square Root: Total cpu/real time for sqrt: 172.74/51.3476
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 129.72/111.143
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 99.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 53.68/57.5103
Info:Linear Algebra: Total cpu/real time for bwc: 4009.27/1043.79
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2424.99, WCT time 628.78, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (20736 iterations)
Info:Linear Algebra: Lingen CPU time 114.07, WCT time 29.02
Info:Linear Algebra: Mksol: CPU time 1406.49,  WCT time 363.57, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10496 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13435475
Info:Lattice Sieving: Average J: 1908.81 for 239763 special-q, max bucket fill -bkmult 1.0,1s:1.254370
Info:Lattice Sieving: Total time: 29840.3s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.16/1.38011
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1764.24
Info:Polynomial Selection (root optimized): Rootsieve time: 1761.9
Info:Generate Free Relations: Total cpu/real time for freerel: 126.5/32.8372
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.51/60.9614
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 60.9s
Info:Filtering - Merging: Merged matrix has 658885 rows and total weight 65992110 (100.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 47.68/15.8764
Info:Filtering - Merging: Total cpu/real time for replay: 15.75/14.4825
Info:Quadratic Characters: Total cpu/real time for characters: 20.14/7.77155
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20190/35.680/42.713/47.480/1.032
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16067/33.830/37.798/43.190/0.854
Info:Polynomial Selection (size optimized): Total time: 2267.58
Info:Square Root: Total cpu/real time for sqrt: 172.74/51.3476
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 63943/17647
Info:root: Cleaning up computation data in /tmp/cado.31_qht_l
42786446779442516252825602623927220758733777303740840089886497 7575121242901717543553585818369842328532572169144869818623
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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 JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 25, 2022 17:08:35 UTC 2022 年 4 月 26 日 (火) 2 時 8 分 35 秒 (日本時間)

46×10235+359

c230

name 名前ivelive
date 日付June 20, 2022 23:38:06 UTC 2022 年 6 月 21 日 (火) 8 時 38 分 6 秒 (日本時間)
composite number 合成数
10923990281923253981230447393209386414901937595280646215769468658300077500961489253346451620793625519201228331463787387802011225349926874571574756130822382923618391297569376540564634935087156225291151057293835509166593345318850497<230>
prime factors 素因数
11778283616928718188718506777328099<35>
composite cofactor 合成数の残り
927468775350459081702418174223142741049364261754006565247797371045715899543379226307243892237704332744869241628931979661093706241529688908197884266194739358456856435918042380969660384380430913803<195>
factorization results 素因数分解の結果
prp35 = 11778283616928718188718506777328099 (curve 5 stg2 B1=11000000 sigma=4037145708 thread=3)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e64480iveliveJune 20, 2022 23:37:57 UTC 2022 年 6 月 21 日 (火) 8 時 37 分 57 秒 (日本時間)

46×10238+359

c131

name 名前Ignacio Santos
date 日付April 24, 2022 19:12:12 UTC 2022 年 4 月 25 日 (月) 4 時 12 分 12 秒 (日本時間)
composite number 合成数
21471162069342541066552915029992789759668693198764531601353710200722423535870830234365958780590804935930344257638164776924734300769<131>
prime factors 素因数
687022332068659484386180159879681631131<39>
31252495104040898727187003657066553164190486122605483834002435696508595172409865119053694899<92>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1936382105
Step 1 took 4812ms
Step 2 took 2938ms
********** Factor found in step 2: 687022332068659484386180159879681631131
Found prime factor of 39 digits: 687022332068659484386180159879681631131
Prime cofactor 31252495104040898727187003657066553164190486122605483834002435696508595172409865119053694899 has 92 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

46×10241+359

c212

composite cofactor 合成数の残り
23118377071472298495746833870947724268059177152104749531892777790272746038167542404910308630835474072173727453687981116430777942749450867353309118073458302656405964348068241397282322129448953999363867573517222173<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e64480iveliveJune 20, 2022 07:45:21 UTC 2022 年 6 月 20 日 (月) 16 時 45 分 21 秒 (日本時間)

46×10242+359

c217

name 名前ivelive
date 日付June 20, 2022 03:15:22 UTC 2022 年 6 月 20 日 (月) 12 時 15 分 22 秒 (日本時間)
composite number 合成数
3120140170989212600964765152403709281988010389782759345109384955733368455070411402171816833227942112450274115255788011384052297364005356674602782410300189593083123927877551066556136818061302449845218603447390326061843<217>
prime factors 素因数
18999418982979216057840820900981781<35>
1023349979216496101949677604568211646055373<43>
composite cofactor 合成数の残り
160475818618107352313581367855709429034222960834664197726727252108914782125161796465903428902664283207399093435249256745225982246873062843811<141>
factorization results 素因数分解の結果
 prp35 = 18999418982979216057840820900981781 (curve 16 stg1 B1=11000000 sigma=4256091195 thread=3)
prp43 = 1023349979216496101949677604568211646055373 (curve 41 stg2 B1=11000000 sigma=3260377014 thread=6)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e64480iveliveJune 20, 2022 02:03:17 UTC 2022 年 6 月 20 日 (月) 11 時 3 分 17 秒 (日本時間)
5043e66548Ignacio SantosJune 24, 2022 16:01:29 UTC 2022 年 6 月 25 日 (土) 1 時 1 分 29 秒 (日本時間)

46×10243+359

c234

name 名前ivelive
date 日付April 24, 2022 16:39:04 UTC 2022 年 4 月 25 日 (月) 1 時 39 分 4 秒 (日本時間)
composite number 合成数
130882515332715919337422023985311043809310119673362993135411652408572060277474047793749874879249528748295532811864993134704118602315832719612379648001455373509069020922159431365366708520648727768018122549949617866173192773446191697671<234>
prime factors 素因数
341580702732679528455371568586735287673<39>
composite cofactor 合成数の残り
383167182120192401917441972252349546553405492324609641274550070830560156870235744357665385089026862239255183048222713625328210011293505297664857832739047941877916651873015277932162504584114278527<195>
factorization results 素因数分解の結果
prp39 = 341580702732679528455371568586735287673 (curve 10 stg2 B1=110000000 sigma=1362653334 thread=4)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e60--
5043e60 / 5985--
5511e7648 / 17769iveliveApril 24, 2022 16:38:46 UTC 2022 年 4 月 25 日 (月) 1 時 38 分 46 秒 (日本時間)

46×10244+359

c224

name 名前ivelive
date 日付June 20, 2022 01:47:59 UTC 2022 年 6 月 20 日 (月) 10 時 47 分 59 秒 (日本時間)
composite number 合成数
14402491822937430597978979338441889240172674422162745536143011028127637332087316090480235598215678341503359830665389023070818488031297179766132468024014634586087441737614748351116073102333130796004318077484898824545699724631<224>
prime factors 素因数
202108100296522419868311335573084816453<39>
composite cofactor 合成数の残り
71261328971015258114156406314183512603009197238094927393057450761082910137591366750905391681801783798883380330735156726429876062175303929865323310287453130098133285766965815026962606827<185>
factorization results 素因数分解の結果
prp39 = 202108100296522419868311335573084816453 (curve 2 stg2 B1=11000000 sigma=1766056599 thread=7)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e64480iveliveJune 19, 2022 18:21:33 UTC 2022 年 6 月 20 日 (月) 3 時 21 分 33 秒 (日本時間)

46×10245+359

c211

name 名前ivelive
date 日付April 24, 2022 16:37:31 UTC 2022 年 4 月 25 日 (月) 1 時 37 分 31 秒 (日本時間)
composite number 合成数
6749494415592840963226255577673016709012684589002717190695632942127451879380082801191847322739183048845702154331147949728138369041881618700351189599821696329453809342329895661567848824448291929241374596936919277<211>
prime factors 素因数
104891279341627997852246655890981230617550741<45>
composite cofactor 合成数の残り
64347526867414060160024753325369984411888977467224456533021029505373676072830472920475571190027239448610040547895178788284370324616810668939219456535690413717759061497<167>
factorization results 素因数分解の結果
 prp45 = 104891279341627997852246655890981230617550741 (curve 6 stg2 B1=110000000 sigma=1738339307 thread=6)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 25, 2022 18:08:10 UTC 2022 年 4 月 26 日 (火) 3 時 8 分 10 秒 (日本時間)
4511e64480Ignacio SantosMay 1, 2022 14:06:30 UTC 2022 年 5 月 1 日 (日) 23 時 6 分 30 秒 (日本時間)

46×10246+359

c238

name 名前ivelive
date 日付April 24, 2022 16:37:51 UTC 2022 年 4 月 25 日 (月) 1 時 37 分 51 秒 (日本時間)
composite number 合成数
2458831676341767080280988131979330739142438680326683594381091430250876277029677037561388237303171783791914888764524924399899351787746501981401265171580426757696164594910820790280383347584173837569291349933834456538734555227338141974762131<238>
prime factors 素因数
5443582303124415608150910365924500763561955103<46>
451693671450597582238767987003901741891687130686472735723112128909606674556261107286602059362337411333021767750577403420691199795774844185390189486251606541452017617315397321517154246646526477<192>
factorization results 素因数分解の結果
prp46 = 5443582303124415608150910365924500763561955103 (curve 3 stg2 B1=110000000 sigma=3471405022 thread=0)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

46×10247+359

c175

name 名前ivelive
date 日付June 19, 2022 18:20:53 UTC 2022 年 6 月 20 日 (月) 3 時 20 分 53 秒 (日本時間)
composite number 合成数
3599794733714787249507279474777634563930650694911608687007000263770303378661091847510828382042422977882993268570956674470549527804162858894893762219667512300743269419221686411<175>
prime factors 素因数
1083497592865169873732332644123384786151<40>
3322383692792148789126182992898927805241140235556102599925896510835066436105449889485147084704911215156268466268378346186017493078851261<136>
factorization results 素因数分解の結果
06/20/22 01:39:51 v1.34.5 @ DESKTOP-RJPVCOL, Starting factorization of 3599794733714787249507279474777634563930650694911608687007000263770303378661091847510828382042422977882993268570956674470549527804162858894893762219667512300743269419221686411
06/20/22 01:39:51 v1.34.5 @ DESKTOP-RJPVCOL, using pretesting plan: deep
06/20/22 01:39:51 v1.34.5 @ DESKTOP-RJPVCOL, no tune info: using qs/gnfs crossover of 95 digits
06/20/22 01:39:51 v1.34.5 @ DESKTOP-RJPVCOL, input indicated to have been pretested to t40.50
06/20/22 01:39:51 v1.34.5 @ DESKTOP-RJPVCOL, ****************************
06/20/22 01:39:51 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 3, starting 1000 iterations on C175
06/20/22 01:39:51 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 2, starting 1000 iterations on C175
06/20/22 01:39:51 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 1, starting 1000 iterations on C175
06/20/22 01:39:51 v1.34.5 @ DESKTOP-RJPVCOL, current ECM pretesting depth: 40.58
06/20/22 01:39:51 v1.34.5 @ DESKTOP-RJPVCOL, scheduled 4479 curves at B1=11000000 toward target pretesting depth of 58.33
06/20/22 02:09:38 v1.34.5 @ DESKTOP-RJPVCOL, prp40 = 1083497592865169873732332644123384786151 (curve 50 stg2 B1=11000000 sigma=2978042120 thread=7)
06/20/22 02:09:38 v1.34.5 @ DESKTOP-RJPVCOL, Finished 400 curves using Lenstra ECM method on C175 input, B1=11M, B2=gmp-ecm default
06/20/22 02:09:38 v1.34.5 @ DESKTOP-RJPVCOL, current ECM pretesting depth: 41.03
06/20/22 02:09:38 v1.34.5 @ DESKTOP-RJPVCOL, scheduled 3961 curves at B1=11000000 toward target pretesting depth of 45.33
06/20/22 02:09:38 v1.34.5 @ DESKTOP-RJPVCOL, prp136 = 3322383692792148789126182992898927805241140235556102599925896510835066436105449889485147084704911215156268466268378346186017493078851261
06/20/22 02:09:38 v1.34.5 @ DESKTOP-RJPVCOL, Total factoring time = 1787.1730 seconds

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 16, 2022 12:36:42 UTC 2022 年 6 月 16 日 (木) 21 時 36 分 42 秒 (日本時間)
4511e64480iveliveJune 19, 2022 16:40:00 UTC 2022 年 6 月 20 日 (月) 1 時 40 分 0 秒 (日本時間)

46×10248+359

c249

composite cofactor 合成数の残り
102222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62352iveliveJune 13, 2022 09:19:16 UTC 2022 年 6 月 13 日 (月) 18 時 19 分 16 秒 (日本時間)
4511e64480iveliveJune 13, 2022 09:19:53 UTC 2022 年 6 月 13 日 (月) 18 時 19 分 53 秒 (日本時間)
5043e67560iveliveJune 15, 2022 05:53:23 UTC 2022 年 6 月 15 日 (水) 14 時 53 分 23 秒 (日本時間)

46×10249+359

c214

name 名前ivelive
date 日付June 16, 2022 01:40:32 UTC 2022 年 6 月 16 日 (木) 10 時 40 分 32 秒 (日本時間)
composite number 合成数
8360300673222579045274412784276819647496770400327098643546244086620876417920784108107583662878625756345569711516436893607311066727790521343804541814360392590199434035570462378022052613014231249289332609130086590333<214>
prime factors 素因数
4327664351597632273287967675008643<34>
composite cofactor 合成数の残り
1931827423292711970002766125728639905009184557794368458962936664317663844886216814981380865629276384834262000326300249799575083171847912841548824243512429358141286116446127292856831<181>
factorization results 素因数分解の結果
prp34 = 4327664351597632273287967675008643 (curve 2 stg2 B1=43000000 sigma=579992495 thread=7)

c181

name 名前ivelive
date 日付June 16, 2022 13:37:36 UTC 2022 年 6 月 16 日 (木) 22 時 37 分 36 秒 (日本時間)
composite number 合成数
1931827423292711970002766125728639905009184557794368458962936664317663844886216814981380865629276384834262000326300249799575083171847912841548824243512429358141286116446127292856831<181>
prime factors 素因数
364041523426467315716005345408890826583587<42>
5306612842155412682592983507728927059299710860406280447847032174640379469550288753164888048529261737494813163976726109421307423278068714613<139>
factorization results 素因数分解の結果
prp42 = 364041523426467315716005345408890826583587 (curve 126 stg2 B1=43000000 sigma=4105645710

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

46×10250+359

c225

composite cofactor 合成数の残り
441446983761473416795779041551450148988342157249069198123267940735770115847633143399612252087682111051613255790968920133493655439581010287415746157574545712917740119177993802691560696145520873956066909902739128651129237533753<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e60--
5043e61296 / 7548iveliveJune 16, 2022 15:20:11 UTC 2022 年 6 月 17 日 (金) 0 時 20 分 11 秒 (日本時間)

46×10251+359

c205

composite cofactor 合成数の残り
1059659177844615744602744184700369564204041311711013526097380425340273841769763641319866069559391641895660106439228994688894497016481891252045112051114729997373482666164490431534701792559581108881797813473<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e64480iveliveJune 19, 2022 09:59:28 UTC 2022 年 6 月 19 日 (日) 18 時 59 分 28 秒 (日本時間)

46×10254+359

c232

composite cofactor 合成数の残り
6329633642356211481873980670018085796288253026871827462855163426184324630398100938485452463678548419832873201767012666716888936943666427836319379531671874801762031791184228664947387049692451522337114988849595389415027549256725581953<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e64480iveliveJune 19, 2022 06:16:04 UTC 2022 年 6 月 19 日 (日) 15 時 16 分 4 秒 (日本時間)

46×10255+359

c254

name 名前Dmitry Domanov
date 日付June 18, 2022 16:15:47 UTC 2022 年 6 月 19 日 (日) 1 時 15 分 47 秒 (日本時間)
composite number 合成数
30976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976431<254>
prime factors 素因数
4452050320917194768373134916293410739<37>
composite cofactor 合成数の残り
6957789949249569104170760203251866136237687975111331420164987954482888309717364296868130045889573408940161819042111498281291757141150557350625891234465272119299706229557318565190731224075293264622250687792959345835029<217>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f7abe56ba3c6 with GMP-ECM 7.0.5-dev on Thu Jun 16 13:30:27 2022 
Input number is 30976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976430976431 (254 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3801442906
Step 1 took 0ms
Step 2 took 13985ms
********** Factor found in step 2: 4452050320917194768373134916293410739
Found prime factor of 37 digits: 4452050320917194768373134916293410739
Composite cofactor 6957789949249569104170760203251866136237687975111331420164987954482888309717364296868130045889573408940161819042111498281291757141150557350625891234465272119299706229557318565190731224075293264622250687792959345835029 has 217 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 16, 2022 12:38:43 UTC 2022 年 6 月 16 日 (木) 21 時 38 分 43 秒 (日本時間)

46×10256+359

c257

composite cofactor 合成数の残り
10222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e60--
5043e60--
5511e74096 / 177691024iveliveApril 28, 2022 10:24:47 UTC 2022 年 4 月 28 日 (木) 19 時 24 分 47 秒 (日本時間)
3072iveliveApril 30, 2022 02:35:08 UTC 2022 年 4 月 30 日 (土) 11 時 35 分 8 秒 (日本時間)

46×10257+359

c226

composite cofactor 合成数の残り
2987774886188709519736043235001594450236029081603972448732702881243241545370335567850006676088658265763953125545953239935943182800446659887300432218491545524857096375482991711031416613896717407497258430010093159387225783715769<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e60--
5043e60 / 5985--
5511e7648 / 17769iveliveMay 1, 2022 01:43:43 UTC 2022 年 5 月 1 日 (日) 10 時 43 分 43 秒 (日本時間)

46×10258+359

c207

composite cofactor 合成数の残り
694475292894925923432347279887908557264425240908589054220017532139505625863283455707275029518259537593619065387935411436840049128218096814812471858999197550738076327440833945344301129866131153352341847277793<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e60--
5043e60 / 5079--
5511e71024 / 17769iveliveMay 1, 2022 09:55:45 UTC 2022 年 5 月 1 日 (日) 18 時 55 分 45 秒 (日本時間)

46×10259+359

c255

name 名前ivelive
date 日付May 3, 2022 07:45:50 UTC 2022 年 5 月 3 日 (火) 16 時 45 分 50 秒 (日本時間)
composite number 合成数
607778240217743160843226245449921054891623890969868733112683406993413533635901196398253298187895964220359249790250444272681028730734420727880505512945015888115953518177193782164351163697141460385410679720686260908628469125526025460623236947631977062977717<255>
prime factors 素因数
3830461220083719785129712119804395619051<40>
composite cofactor 合成数の残り
158669728081585790157574296982603125469116448148286060166737864502257515165700358005286628504208565610790111321600887514806613986580609103451887863623036371825005693767621472957026950993558970238592212484244412486367<216>
factorization results 素因数分解の結果
 prp40 = 3830461220083719785129712119804395619051 (curve 9 stg2 B1=260000000 sigma=888394678 thread=7)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62352iveliveMay 3, 2022 14:39:22 UTC 2022 年 5 月 3 日 (火) 23 時 39 分 22 秒 (日本時間)
4511e60--
5043e60 / 4222--
5511e70 / 16243--
6026e7648 / 42014iveliveMay 4, 2022 03:35:27 UTC 2022 年 5 月 4 日 (水) 12 時 35 分 27 秒 (日本時間)

46×10261+359

c190

name 名前ivelive
date 日付May 1, 2022 18:07:49 UTC 2022 年 5 月 2 日 (月) 3 時 7 分 49 秒 (日本時間)
composite number 合成数
9260241456087455259047447656937226409675208000458818058523048088843374901859530157523852292512333802319619778060291804720342290748805836979041553474612281844749659555325597688241731824594061<190>
prime factors 素因数
1801793728573425957254824354941448472207297<43>
composite cofactor 合成数の残り
5139457036194299144711912998699824165644387333782896925713884556612499683216353928814394082358283976847138972444782638827171549786545011273175793613<148>
factorization results 素因数分解の結果
prp43 = 1801793728573425957254824354941448472207297 (curve 5 stg1 B1=110000000 sigma=757136239 thread=7)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e60--
5043e60--
5511e74096 / 17769iveliveMay 2, 2022 14:26:25 UTC 2022 年 5 月 2 日 (月) 23 時 26 分 25 秒 (日本時間)

46×10262+359

c213

composite cofactor 合成数の残り
344783879859472497367090925711596393200783705171510080992735438418989412879709317116126263775935340035767392313207856807834655310788496184305264499394896968741047091533068368521082107679658338044965951718706007809<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e60--
5043e60 / 5079--
5511e71024 / 17769iveliveMay 6, 2022 01:39:12 UTC 2022 年 5 月 6 日 (金) 10 時 39 分 12 秒 (日本時間)

46×10264+359

c248

composite cofactor 合成数の残り
40695097121620128450270804875929842014397973874262079496110386700395423444438760636688659203017950633506486099977947643650214121575542407976021598209534632113066764030615045870028248559370013765416656633309074635947458245415512900744018270457752067<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62352iveliveJune 13, 2022 05:51:32 UTC 2022 年 6 月 13 日 (月) 14 時 51 分 32 秒 (日本時間)

46×10267+359

c233

composite cofactor 合成数の残り
11068830248862785132055413772790925661059411906307839616990580181997640608962997804072305680108616802092598506351629897583223819307884549754845185205374984940512630963977500739333483780365526739237741361020613066692709992244076486657<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e64480iveliveJune 18, 2022 13:38:29 UTC 2022 年 6 月 18 日 (土) 22 時 38 分 29 秒 (日本時間)

46×10269+359

c267

name 名前ivelive
date 日付May 6, 2022 10:39:49 UTC 2022 年 5 月 6 日 (金) 19 時 39 分 49 秒 (日本時間)
composite number 合成数
320445837687216997561825148032044583768721699756182514803204458376872169975618251480320445837687216997561825148032044583768721699756182514803204458376872169975618251480320445837687216997561825148032044583768721699756182514803204458376872169975618251480320445837687217<267>
prime factors 素因数
13867786288413550924219649780876962885849<41>
composite cofactor 合成数の残り
23107209112022983741946408208031627879319894084167353297906896417537582321128523090468610702796975504784777993544700291781531074783671592485836453329391126114867827540469713464694870730772074096948462595709114658307527099975833<227>
factorization results 素因数分解の結果
P41 factor 13867786288413550924219649780876962885849 (curve 33 stg2 B1=110000000 sigma=364983564 thread=0)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e60--
5043e60 / 4423--
5511e71296 / 17769iveliveMay 7, 2022 13:52:19 UTC 2022 年 5 月 7 日 (土) 22 時 52 分 19 秒 (日本時間)

46×10270+359

c240

composite cofactor 合成数の残り
139390379750171525661715146813969653381401601157350910992694121185637097550238156681399187707974987271765580389248320300371916768925557037545916795516161690257860298412843225380342748376764429830426331736946800609526549594787538512886735893<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e60--
5043e60 / 4423--
5511e71296 / 17769iveliveMay 7, 2022 10:33:14 UTC 2022 年 5 月 7 日 (土) 19 時 33 分 14 秒 (日本時間)

46×10271+359

c268

composite cofactor 合成数の残り
5919063243904008235218426301228848999549636492311651547320337129254326706556005919063243904008235218426301228848999549636492311651547320337129254326706556005919063243904008235218426301228848999549636492311651547320337129254326706556005919063243904008235218426301228849<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 16, 2022 12:38:32 UTC 2022 年 6 月 16 日 (木) 21 時 38 分 32 秒 (日本時間)

46×10272+359

c239

composite cofactor 合成数の残り
20218973369915468799320716301124299259040170645849257291179901255768438402811178852093318296505358111452803336076129210348920019962361189085014354331511322796165641243104602421867177814458638782994027554648887437587767431081462881317492523<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e64480iveliveJune 21, 2022 03:53:54 UTC 2022 年 6 月 21 日 (火) 12 時 53 分 54 秒 (日本時間)

46×10273+359

c259

composite cofactor 合成数の残り
1889814785835740946133902524276299058427958454515284453012344015482414711572479730356469457948974855382721663878717094921936501625361003467470831406729718624178471472153107416428480232464859204379961851928716329725241509736919270870059364649650973175018283441<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 16, 2022 12:38:25 UTC 2022 年 6 月 16 日 (木) 21 時 38 分 25 秒 (日本時間)

46×10274+359

c272

composite cofactor 合成数の残り
99244875943905070118662351672060409924487594390507011866235167206040992448759439050701186623516720604099244875943905070118662351672060409924487594390507011866235167206040992448759439050701186623516720604099244875943905070118662351672060409924487594390507011866235167206041<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMay 28, 2022 21:37:49 UTC 2022 年 5 月 29 日 (日) 6 時 37 分 49 秒 (日本時間)

46×10275+359

c274

composite cofactor 合成数の残り
9292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929293<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e60--
5043e60 / 5985--
5511e7648 / 17769iveliveMay 8, 2022 06:18:02 UTC 2022 年 5 月 8 日 (日) 15 時 18 分 2 秒 (日本時間)

46×10276+359

c242

composite cofactor 合成数の残り
19764703122308480232146440570131791205446974183663043852727934721961501852755192564918476110803835080862884963088531700168202291294363990820283746549225331156795502454097471580983361753825475212456053259881330148200222354182107193738509653229<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e60--
5043e60--
5511e74096 / 17769iveliveJuly 13, 2022 04:42:52 UTC 2022 年 7 月 13 日 (水) 13 時 42 分 52 秒 (日本時間)

46×10277+359

c276

composite cofactor 合成数の残り
929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929292929293<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMay 28, 2022 21:38:02 UTC 2022 年 5 月 29 日 (日) 6 時 38 分 2 秒 (日本時間)

46×10278+359

c251

composite cofactor 合成数の残り
28654363426293256008668045271932329494691027818815828602985385555880126725696941484454506638710403786511489089035283892378231825994431373640516118002468086922075434936908960891614511737413259190344708430967810013191608323583711825123086292485685980567<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 16, 2022 12:38:17 UTC 2022 年 6 月 16 日 (木) 21 時 38 分 17 秒 (日本時間)

46×10280+359

c212

composite cofactor 合成数の残り
48621716600737032223457927537900790241626795248388758670465328060299345251740425535006354629754589869673999640613917544372672940323524810315837450965595065202379323675534571143847556595922467530814025105106293927<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62352iveliveJuly 5, 2022 10:23:11 UTC 2022 年 7 月 5 日 (火) 19 時 23 分 11 秒 (日本時間)

46×10281+359

c256

composite cofactor 合成数の残り
9122372916416289124513766381420284945094150782560377587413980070273884104244508026882552631039402661505397489648453188552749854383478927450722561647335296564465498711107072569578060323082813986880297191732051728254690974199947601390542570227458516050354249<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 16, 2022 12:38:06 UTC 2022 年 6 月 16 日 (木) 21 時 38 分 6 秒 (日本時間)

46×10282+359

c277

composite cofactor 合成数の残り
6542515326908867739496951685657739688960287643108633489002529535545414656798846810559335280442786059037667109708737173647601634775460162837517342999188585870869237164047171535507012936401773021653592303157403673906813247455708237951282439675519685504132807371992487485661579861<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMay 28, 2022 21:38:09 UTC 2022 年 5 月 29 日 (日) 6 時 38 分 9 秒 (日本時間)

46×10283+359

c254

composite cofactor 合成数の残り
20556018238431386143149849358384408358764795623999471751921781501611416363848033698835070958368994232388435767242859334316080647580864376202888058138514825842969650671598406556394955536033494668757109543022318724108107966554439687096147166668891252895109<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e60--
5043e60 / 5079--
5511e71024 / 17769iveliveJune 3, 2022 12:54:48 UTC 2022 年 6 月 3 日 (金) 21 時 54 分 48 秒 (日本時間)

46×10285+359

c243

composite cofactor 合成数の残り
548355984158319446994629168340920877128325112998431329334935741476347992987792499702133964511755965624891323554756534851463262246371364707188299821227730083346237562963182579007870874579403378183980449936350155143143214429294103080894744584201<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62352iveliveJuly 5, 2022 11:12:18 UTC 2022 年 7 月 5 日 (火) 20 時 12 分 18 秒 (日本時間)

46×10286+359

c280

composite cofactor 合成数の残り
4228425230112509662755970823682067648461043954985839601399222677559273904011713840954862985464006932043553331403884516375472945914902298787972465046435233003925219564427159377482045394075213297625201487909300646503237112299942056786004316946393082038941130622995490890064666869723<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62352iveliveMay 4, 2022 23:19:35 UTC 2022 年 5 月 5 日 (木) 8 時 19 分 35 秒 (日本時間)
4511e60--
5043e60 / 985--
5511e70 / 14737--
6026e71296 / 42014648iveliveMay 5, 2022 05:58:46 UTC 2022 年 5 月 5 日 (木) 14 時 58 分 46 秒 (日本時間)
648iveliveMay 5, 2022 05:58:52 UTC 2022 年 5 月 5 日 (木) 14 時 58 分 52 秒 (日本時間)

46×10287+359

c279

name 名前Dmitry Domanov
date 日付May 29, 2022 06:38:30 UTC 2022 年 5 月 29 日 (日) 15 時 38 分 30 秒 (日本時間)
composite number 合成数
244171963767087679193196126360315086158385105678795024374236708322724824545040145821386440380872518824395745445044935758723917846424448221928042247849784331410612617034664430450646640041025115149461134491253422796284734709577873287605397156597895094300920283574089105733657279781<279>
prime factors 素因数
253591062513240752109875044522377763<36>
composite cofactor 合成数の残り
962857134424202061770456257893456011485993308159439765135316337092717378890893418867192888590743150803315522525161616168804376216024490281113258927483883936121931923116652358931912320710183510189286044766063714826818477389884652871210604708887<243>
factorization results 素因数分解の結果
Resuming ECM residue saved by @4b77e11fdca2 with GMP-ECM 7.0.5-dev on Sat May 28 22:42:37 2022 
Input number is 244171963767087679193196126360315086158385105678795024374236708322724824545040145821386440380872518824395745445044935758723917846424448221928042247849784331410612617034664430450646640041025115149461134491253422796284734709577873287605397156597895094300920283574089105733657279781 (279 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1055305161
Step 1 took 1ms
Step 2 took 9076ms
********** Factor found in step 2: 253591062513240752109875044522377763
Found prime factor of 36 digits: 253591062513240752109875044522377763
Composite cofactor 962857134424202061770456257893456011485993308159439765135316337092717378890893418867192888590743150803315522525161616168804376216024490281113258927483883936121931923116652358931912320710183510189286044766063714826818477389884652871210604708887 has 243 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMay 28, 2022 21:38:22 UTC 2022 年 5 月 29 日 (日) 6 時 38 分 22 秒 (日本時間)

46×10288+359

c195

name 名前Ignacio Santos
date 日付April 25, 2022 18:08:39 UTC 2022 年 4 月 26 日 (火) 3 時 8 分 39 秒 (日本時間)
composite number 合成数
604165757390728173355459635502843307523245390351417799870184986547239583026278978610361607571364094428555931122214790436009950511540874665444360635913591236397899762636342509792803011981771331303<195>
prime factors 素因数
7185321208767780886658723560947232189<37>
composite cofactor 合成数の残り
84083333206246080075470876115986749567868273079705089261541954903934706135484490959750505557484371590406606870705411133945506134687491834396864671465532499827<158>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2249586912
Step 1 took 7297ms
********** Factor found in step 2: 7185321208767780886658723560947232189
Found prime factor of 37 digits: 7185321208767780886658723560947232189
Composite cofactor 84083333206246080075470876115986749567868273079705089261541954903934706135484490959750505557484371590406606870705411133945506134687491834396864671465532499827 has 158 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 JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e64480Ignacio SantosApril 30, 2022 18:14:43 UTC 2022 年 5 月 1 日 (日) 3 時 14 分 43 秒 (日本時間)

46×10289+359

c248

composite cofactor 合成数の残り
82120259911731534903746723066442065685260673920329151568031868822664271197462749485853123594535831100220390603367499597652065646919854065351791944484516445067781937374585436221197756103179223645547114183014943351373946982644583534230012794489397983<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e60--
5043e61458 / 7548iveliveJuly 3, 2022 00:55:10 UTC 2022 年 7 月 3 日 (日) 9 時 55 分 10 秒 (日本時間)

46×10291+359

c191

composite cofactor 合成数の残り
35251590237387631761183745597878064696429074854872998933178261781115751509553331877150390997874214299525692506450049307148232077325105402161129072749617189485038256233042983317925436818775371<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 24, 2022 22:32:30 UTC 2022 年 4 月 25 日 (月) 7 時 32 分 30 秒 (日本時間)
4511e64480Ignacio SantosMay 2, 2022 21:35:44 UTC 2022 年 5 月 3 日 (火) 6 時 35 分 44 秒 (日本時間)

46×10292+359

c275

composite cofactor 合成数の残り
17315539633961970455027694847229391003205071902999332473606616980471329657463149593927725775994279540785030126300046596555838701916651696352323945291376384479639246914810811013795563618737206715947218765000958860476741468280503745315201049512020972310461350330694284679689659<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMay 28, 2022 21:38:30 UTC 2022 年 5 月 29 日 (日) 6 時 38 分 30 秒 (日本時間)

46×10293+359

c245

composite cofactor 合成数の残り
14903688616228065186084328082368657108586862545246037957180187570487583526909325978597750963768549803167324965979361343003927237973135440835126948637234888952684337356388014795819108385951319090924983189222142357002528677095005161181263350896113<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e64480iveliveJuly 10, 2022 15:00:01 UTC 2022 年 7 月 11 日 (月) 0 時 0 分 1 秒 (日本時間)

46×10294+359

c270

composite cofactor 合成数の残り
276120058198467807538727857757125473996035250126639805460348294478670479983906753736807184169052444710694045584760377922792034610292857301645283547477617388520126032900746959745675767336660862637591657021675863485868721598449758375319168087227908320631221610255092222723<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMay 28, 2022 21:38:38 UTC 2022 年 5 月 29 日 (日) 6 時 38 分 38 秒 (日本時間)

46×10296+359

c228

composite cofactor 合成数の残り
261478500894682621824206259157668116729553439489639454204388072933089811485055755691897949994114437702783131107945640756766382619171199690215775136560697335995368463400474799070470608784427646050715472719103125531877431307459339<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e64480iveliveJune 21, 2022 08:58:55 UTC 2022 年 6 月 21 日 (火) 17 時 58 分 55 秒 (日本時間)

46×10298+359

c282

composite cofactor 合成数の残り
764823575850892122588976277289443265393353812881691103306802666746327438475754724932337168309051468513186764190757462717907089124419731582459302737267486649975726082466254744554947908321154054724043305385573837831591009437001008071216212352338712302528008173509636872637894828179201<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMay 28, 2022 21:38:47 UTC 2022 年 5 月 29 日 (日) 6 時 38 分 47 秒 (日本時間)

46×10299+359

c276

composite cofactor 合成数の残り
468188040323710827028402012416967224952515509726341088274498112770087523164992415105708073717478753490837335603619773624714334638949578300327181179316653058969573210747177369730195978815283620307868532445079821861606091233467132212513771584890989878316795776505021217439900451<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMay 28, 2022 21:38:55 UTC 2022 年 5 月 29 日 (日) 6 時 38 分 55 秒 (日本時間)
4511e60--
5043e61296 / 7480iveliveJuly 2, 2022 15:04:21 UTC 2022 年 7 月 3 日 (日) 0 時 4 分 21 秒 (日本時間)

46×10300+359

c268

composite cofactor 合成数の残り
1006805476018142920376984744036535373373971000955931356917216623654636929576948509329230687727849330192093827240866345350177372540097492984625666102795026393364880990948007476463770185675838414134777012288009702196670256245822313474314147603501101707258439341768821847<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovApril 24, 2022 16:29:21 UTC 2022 年 4 月 25 日 (月) 1 時 29 分 21 秒 (日本時間)
4511e63584Dmitry DomanovApril 28, 2022 23:11:18 UTC 2022 年 4 月 29 日 (金) 8 時 11 分 18 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovApril 28, 2022 23:11:26 UTC 2022 年 4 月 29 日 (金) 8 時 11 分 26 秒 (日本時間)