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)

c167

name 名前Bob Backstrom
date 日付August 30, 2023 05:15:12 UTC 2023 年 8 月 30 日 (水) 14 時 15 分 12 秒 (日本時間)
composite number 合成数
24350931237182096111279904718070991979252278265372657345689021312227467086081247276206765005810946682567032401059615951270545894398743287736528004173953847729510045247<167>
prime factors 素因数
53791857423216735119442354139548022399265559228510766633978378816087291437258767<80>
452688053613708410053795937154410551182664896380515072806331341733948867972663318687441<87>
factorization results 素因数分解の結果
Number: n
N=24350931237182096111279904718070991979252278265372657345689021312227467086081247276206765005810946682567032401059615951270545894398743287736528004173953847729510045247  ( 167 digits)
SNFS difficulty: 202 digits.
Divisors found:

Wed Aug 30 15:08:14 2023  prp80 factor: 53791857423216735119442354139548022399265559228510766633978378816087291437258767
Wed Aug 30 15:08:14 2023  prp87 factor: 452688053613708410053795937154410551182664896380515072806331341733948867972663318687441
Wed Aug 30 15:08:14 2023  elapsed time 02:33:59 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.096).
Factorization parameters were as follows:
#
# N = 46x10^202+35 = 51(201)5
#
n: 24350931237182096111279904718070991979252278265372657345689021312227467086081247276206765005810946682567032401059615951270545894398743287736528004173953847729510045247
m: 10000000000000000000000000000000000000000
deg: 5
c5: 920
c0: 7
skew: 0.38
# Murphy_E = 1.224e-11
type: snfs
lss: 1
rlim: 16900000
alim: 16900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16900000/16900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2951853 hash collisions in 17627474 relations (15465320 unique)
Msieve: matrix is 2178190 x 2178415 (616.8 MB)

Sieving start time: 2023/08/29 23:32:06
Sieving end time  : 2023/08/30 12:33:36

Total sieving time: 13hrs 1min 30secs.

Total relation processing time: 2hrs 20min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 26sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16900000,16900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric 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

name 名前Bob Backstrom
date 日付January 10, 2024 04:21:13 UTC 2024 年 1 月 10 日 (水) 13 時 21 分 13 秒 (日本時間)
composite number 合成数
16628620622424136826497752423894428924096770168516275763706715811759645038041007023443406838298156142144718937092736713714268069502468764588486040615545934802191<161>
prime factors 素因数
9711312073284402198757522008483890915364276745399150622956001171941643<70>
1712293920423903637290727688058148971972387953515791772888817754448222286726745014984029837<91>
factorization results 素因数分解の結果
Number: n
N=16628620622424136826497752423894428924096770168516275763706715811759645038041007023443406838298156142144718937092736713714268069502468764588486040615545934802191  ( 161 digits)
SNFS difficulty: 205 digits.
Divisors found:

Wed Jan 10 15:15:28 2024  prp70 factor: 9711312073284402198757522008483890915364276745399150622956001171941643
Wed Jan 10 15:15:28 2024  prp91 factor: 1712293920423903637290727688058148971972387953515791772888817754448222286726745014984029837
Wed Jan 10 15:15:28 2024  elapsed time 03:09:23 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
#
# N = 46x10^205+35 = 51(204)5
#
n: 16628620622424136826497752423894428924096770168516275763706715811759645038041007023443406838298156142144718937092736713714268069502468764588486040615545934802191
m: 10000000000000000000000000000000000
deg: 6
c6: 92
c0: 7
skew: 0.65
# Murphy_E = 7.979e-12
type: snfs
lss: 1
rlim: 19000000
alim: 19000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19000000/19000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3423545 hash collisions in 19269801 relations (16498662 unique)
Msieve: matrix is 2400375 x 2400600 (677.5 MB)

Sieving start time: 2024/01/09 13:50:14
Sieving end time  : 2024/01/10 12:05:41

Total sieving time: 22hrs 15min 27secs.

Total relation processing time: 2hrs 53min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 25sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,19000000,19000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric 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 12:35:22 UTC 2022 年 6 月 16 日 (木) 21 時 35 分 22 秒 (日本時間)
4511e64480iveliveJanuary 28, 2023 13:53:19 UTC 2023 年 1 月 28 日 (土) 22 時 53 分 19 秒 (日本時間)

46×10206+359

c203

name 名前Bob Backstrom
date 日付May 11, 2024 15:04:21 UTC 2024 年 5 月 12 日 (日) 0 時 4 分 21 秒 (日本時間)
composite number 合成数
52234145233634247430874921932663373644467154942372111508544824845284732867768125816158519275535116107420655197865213194799295974564242321012888207573951058876965877476863680236189178447737466643956168739<203>
prime factors 素因数
322114297090386781896875185261790148064265584167151<51>
162160281941714314514494842535652671509850561310771685435499918272053181103665139248318045993197598452344548959293932418797195247493634306098538026597389<153>
factorization results 素因数分解の結果
Number: n
N=52234145233634247430874921932663373644467154942372111508544824845284732867768125816158519275535116107420655197865213194799295974564242321012888207573951058876965877476863680236189178447737466643956168739  ( 203 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sun May 12 00:52:59 2024  prp51 factor: 322114297090386781896875185261790148064265584167151
Sun May 12 00:52:59 2024  prp153 factor: 162160281941714314514494842535652671509850561310771685435499918272053181103665139248318045993197598452344548959293932418797195247493634306098538026597389
Sun May 12 00:52:59 2024  elapsed time 02:33:16 (Msieve 1.44 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.935).
Factorization parameters were as follows:
#
# N = 46x10^206+35 = 51(205)5
#
n: 52234145233634247430874921932663373644467154942372111508544824845284732867768125816158519275535116107420655197865213194799295974564242321012888207573951058876965877476863680236189178447737466643956168739
m: 100000000000000000000000000000000000000000
deg: 5
c5: 92
c0: 7
skew: 0.60
# Murphy_E = 9.028e-12
type: snfs
lss: 1
rlim: 19700000
alim: 19700000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19700000/19700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35450000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4117862 hash collisions in 21074203 relations (17247347 unique)
Msieve: matrix is 2159627 x 2159852 (608.9 MB)

Sieving start time: 2024/05/11 07:05:16
Sieving end time  : 2024/05/11 22:19:17

Total sieving time: 15hrs 14min 1secs.

Total relation processing time: 2hrs 19min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 46sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19700000,19700000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric 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

name 名前Bob Backstrom
date 日付October 8, 2024 02:54:24 UTC 2024 年 10 月 8 日 (火) 11 時 54 分 24 秒 (日本時間)
composite number 合成数
1176016524163721002300150295116882455177359091452841686304899182534571050248662445654803089272522188587891048066117564542833103945544685335355139998709854291052119950932961398778691313451<187>
prime factors 素因数
1642202520724816746591186494708625279048052652243891149261732472971698092493546665510178139<91>
716121494957067871361780393873784076117779782432150677652207373426869910886284261358689256541809<96>
factorization results 素因数分解の結果
10/06/24 21:35:48 v1.34.5 @ RYZEN-9,
10/06/24 21:35:48 v1.34.5 @ RYZEN-9, ****************************
10/06/24 21:35:48 v1.34.5 @ RYZEN-9, Starting factorization of 460000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000035
10/06/24 21:35:48 v1.34.5 @ RYZEN-9, using pretesting plan: normal
10/06/24 21:35:48 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
10/06/24 21:35:48 v1.34.5 @ RYZEN-9, ****************************
10/06/24 21:35:48 v1.34.5 @ RYZEN-9, div: found prime factor = 3
10/06/24 21:35:48 v1.34.5 @ RYZEN-9, div: found prime factor = 3
10/06/24 21:35:48 v1.34.5 @ RYZEN-9, div: found prime factor = 5
10/06/24 21:35:48 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C209
10/06/24 21:35:48 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C209
10/06/24 21:35:48 v1.34.5 @ RYZEN-9, prp5 = 13267
10/06/24 21:35:48 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C204
10/06/24 21:35:48 v1.34.5 @ RYZEN-9, prp6 = 127217
10/06/24 21:35:48 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C199
10/06/24 21:35:48 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C199
10/06/24 21:35:48 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C199
10/06/24 21:35:49 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
10/06/24 21:35:49 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 61.23
10/06/24 21:35:49 v1.34.5 @ RYZEN-9, prp13 = 5150080468207 (curve 1 stg2 B1=2000 sigma=2249223823 thread=0)
10/06/24 21:35:49 v1.34.5 @ RYZEN-9, Finished 1 curves using Lenstra ECM method on C199 input, B1=2K, B2=gmp-ecm default
10/06/24 21:35:49 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
10/06/24 21:35:49 v1.34.5 @ RYZEN-9, scheduled 29 curves at B1=2000 toward target pretesting depth of 57.54
10/06/24 21:35:49 v1.34.5 @ RYZEN-9, Finished 29 curves using Lenstra ECM method on C187 input, B1=2K, B2=gmp-ecm default
10/06/24 21:35:49 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18
10/06/24 21:35:49 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 57.54
10/06/24 21:35:51 v1.34.5 @ RYZEN-9, Finished 74 curves using Lenstra ECM method on C187 input, B1=11K, B2=gmp-ecm default
10/06/24 21:35:51 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24
10/06/24 21:35:51 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 57.54
10/06/24 21:36:24 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c210: 460000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000035
10/06/24 21:36:24 v1.34.5 @ RYZEN-9, nfs: input divides 46*10^208 + 35
10/06/24 21:36:24 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 1176016524163721002300150295116882455177359091452841686304899182534571050248662445654803089272522188587891048066117564542833103945544685335355139998709854291052119950932961398778691313451
10/06/24 21:36:24 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c187: 1176016524163721002300150295116882455177359091452841686304899182534571050248662445654803089272522188587891048066117564542833103945544685335355139998709854291052119950932961398778691313451
10/06/24 21:36:24 v1.34.5 @ RYZEN-9, gen: best 3 polynomials:
n: 1176016524163721002300150295116882455177359091452841686304899182534571050248662445654803089272522188587891048066117564542833103945544685335355139998709854291052119950932961398778691313451
# 46*10^208+35, difficulty: 212.66, anorm: 5.08e+032, rnorm: 2.05e+047
# scaled difficulty: 215.10, suggest sieving rational side
# size = 1.718e-014, alpha = -1.209, combined = 6.592e-012, rroots = 1
type: snfs
size: 212
skew: 0.2378
c5: 9200
c0: 7
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 1176016524163721002300150295116882455177359091452841686304899182534571050248662445654803089272522188587891048066117564542833103945544685335355139998709854291052119950932961398778691313451
# 46*10^208+35, difficulty: 210.26, anorm: 1.79e+032, rnorm: 2.90e+047
# scaled difficulty: 212.80, suggest sieving rational side
# size = 1.718e-014, alpha = -0.515, combined = 6.531e-012, rroots = 1
type: snfs
size: 210
skew: 0.4757
c5: 575
c0: 14
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
n: 1176016524163721002300150295116882455177359091452841686304899182534571050248662445654803089272522188587891048066117564542833103945544685335355139998709854291052119950932961398778691313451
# 46*10^208+35, difficulty: 210.26, anorm: 4.01e+038, rnorm: 3.12e+040
# scaled difficulty: 210.26, suggest sieving algebraic side
# size = 1.104e-010, alpha = 0.342, combined = 3.614e-012, rroots = 0
type: snfs
size: 210
skew: 0.4117
c6: 2875
c0: 14
Y1: -1
Y0: 20000000000000000000000000000000000
m: 20000000000000000000000000000000000
10/06/24 21:36:26 v1.34.5 @ RYZEN-9, test: fb generation took 1.9844 seconds
10/06/24 21:36:26 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 23800000-23802000
skew: 0.2378
c5: 9200
c0: 7
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 23800000
alim: 23800000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
10/06/24 21:39:59 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/06/24 21:40:00 v1.34.5 @ RYZEN-9, test: fb generation took 1.7661 seconds
10/06/24 21:40:00 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000
skew: 0.4757
c5: 575
c0: 14
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
10/06/24 21:43:11 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/06/24 21:43:14 v1.34.5 @ RYZEN-9, test: fb generation took 2.5313 seconds
10/06/24 21:43:14 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the algebraic side over range 21400000-21402000
skew: 0.4117
c6: 2875
c0: 14
Y1: -1
Y0: 20000000000000000000000000000000000
m: 20000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
10/06/24 21:46:35 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/06/24 21:46:35 v1.34.5 @ RYZEN-9, gen: selected polynomial:
n: 1176016524163721002300150295116882455177359091452841686304899182534571050248662445654803089272522188587891048066117564542833103945544685335355139998709854291052119950932961398778691313451
# 46*10^208+35, difficulty: 210.26, anorm: 1.79e+032, rnorm: 2.90e+047
# scaled difficulty: 212.80, suggest sieving rational side
# size = 1.718e-014, alpha = -0.515, combined = 6.531e-012, rroots = 1
type: snfs
size: 210
skew: 0.4757
c5: 575
c0: 14
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
10/08/24 01:07:32 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/08/24 01:09:40 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 22236113
10/08/24 02:42:04 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/08/24 02:44:19 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 23379859
10/08/24 04:29:59 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/08/24 04:32:23 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 24676425
10/08/24 06:17:44 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/08/24 06:20:12 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 25959623
10/08/24 08:20:18 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/08/24 08:24:55 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra
10/08/24 12:35:25 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt
10/08/24 12:39:11 v1.34.5 @ RYZEN-9, prp96 = 716121494957067871361780393873784076117779782432150677652207373426869910886284261358689256541809
10/08/24 12:39:11 v1.34.5 @ RYZEN-9, prp91 = 1642202520724816746591186494708625279048052652243891149261732472971698092493546665510178139
10/08/24 12:39:12 v1.34.5 @ RYZEN-9, NFS elapsed time = 140567.7186 seconds.
10/08/24 12:39:12 v1.34.5 @ RYZEN-9,
10/08/24 12:39:12 v1.34.5 @ RYZEN-9,
10/06/24 21:46:35 v1.34.5 @ RYZEN-9, test: test sieving took 610.57 seconds
software ソフトウェア
YAFU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric 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)
403e633501000Dmitry DomanovJune 16, 2022 12:35:50 UTC 2022 年 6 月 16 日 (木) 21 時 35 分 50 秒 (日本時間)
2350Ignacio SantosSeptember 12, 2023 07:32:07 UTC 2023 年 9 月 12 日 (火) 16 時 32 分 7 秒 (日本時間)
4511e60--
5043e67560iveliveApril 12, 2024 01:18:41 UTC 2024 年 4 月 12 日 (金) 10 時 18 分 41 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

name 名前Erik Branger
date 日付September 16, 2023 11:18:08 UTC 2023 年 9 月 16 日 (土) 20 時 18 分 8 秒 (日本時間)
composite number 合成数
38256706578437832557858020422052696885347044546137571769141826807136202861540366656233675454830401469020219060977658759511994834729301673669774100753513<152>
prime factors 素因数
1779839273661349785862444254378370817233427741847243338158675514546994781<73>
21494472644004000285659394403798841803323790395282465283539902003118983558024573<80>
factorization results 素因数分解の結果
Number: 51115_219
N = 38256706578437832557858020422052696885347044546137571769141826807136202861540366656233675454830401469020219060977658759511994834729301673669774100753513 (152 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=1779839273661349785862444254378370817233427741847243338158675514546994781 (pp73)
r2=21494472644004000285659394403798841803323790395282465283539902003118983558024573 (pp80)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 28.50 hours.
Factorization parameters were as follows:
n: 38256706578437832557858020422052696885347044546137571769141826807136202861540366656233675454830401469020219060977658759511994834729301673669774100753513
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 23
c0: 175
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31298919
Relations: 8207406 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 9.44 hours.
Total relation processing time: 0.26 hours.
Pruned matrix : 7028150 x 7028375
Matrix solve time: 18.17 hours.
time per square root: 0.62 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 28.50 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric 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

name 名前Erik Branger
date 日付September 16, 2023 11:18:27 UTC 2023 年 9 月 16 日 (土) 20 時 18 分 27 秒 (日本時間)
composite number 合成数
1188890797936999237013254849929160576093025734825870646801099089904778914420792848797669962199401951207597638027635579469244342645728788381558192216252167428676605923665066532859639376996779727866134859998367<208>
prime factors 素因数
3775929883634808165410589641462917481420563036645173319943<58>
895477150351552379830370072622953073905245616747890707003544909<63>
351611876464597261737482494969043068477672025132838828710523881616870811598858412296141<87>
factorization results 素因数分解の結果
Number: 51115_220
N = 1188890797936999237013254849929160576093025734825870646801099089904778914420792848797669962199401951207597638027635579469244342645728788381558192216252167428676605923665066532859639376996779727866134859998367 (208 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=3775929883634808165410589641462917481420563036645173319943 (pp58)
r2=895477150351552379830370072622953073905245616747890707003544909 (pp63)
r3=351611876464597261737482494969043068477672025132838828710523881616870811598858412296141 (pp87)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 28.97 hours.
Factorization parameters were as follows:
n: 1188890797936999237013254849929160576093025734825870646801099089904778914420792848797669962199401951207597638027635579469244342645728788381558192216252167428676605923665066532859639376996779727866134859998367
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 46
c0: 35
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30813099
Relations: 8338680 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 9.44 hours.
Total relation processing time: 0.27 hours.
Pruned matrix : 7139924 x 7140149
Matrix solve time: 18.99 hours.
time per square root: 0.27 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 28.97 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric 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)
403e633501000Dmitry DomanovJune 16, 2022 12:36:06 UTC 2022 年 6 月 16 日 (木) 21 時 36 分 6 秒 (日本時間)
2350Ignacio SantosSeptember 12, 2023 07:42:07 UTC 2023 年 9 月 12 日 (火) 16 時 42 分 7 秒 (日本時間)
4511e60--
5043e60--
5511e70 / 12274--
6026e72352 / 42012iveliveMarch 22, 2024 07:45:14 UTC 2024 年 3 月 22 日 (金) 16 時 45 分 14 秒 (日本時間)

46×10228+359

c207

name 名前ivelive
date 日付April 13, 2024 08:07:03 UTC 2024 年 4 月 13 日 (土) 17 時 7 分 3 秒 (日本時間)
composite number 合成数
742282825969561349174623850008190262429962996058387148195683688672720027931160076250953762205850352812540607862422295140901407643148750716663731923653396915853271009400025924225567309515422158438022211287549<207>
prime factors 素因数
34487700203354764130896732027573837173308402677<47>
composite cofactor 合成数の残り
21523117563442411459715535913585210963818097115127716795156032451995026934235916501054820612860306030201563397606691666654157297816454411319438129592888567650537<161>
factorization results 素因数分解の結果
prp47 = 34487700203354764130896732027573837173308402677 (curve 158 stg2 B1=43000000 sigma=337220138 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)
403e62352iveliveJune 19, 2022 11:34:09 UTC 2022 年 6 月 19 日 (日) 20 時 34 分 9 秒 (日本時間)
4511e60--
5043e67560iveliveApril 13, 2024 08:06:56 UTC 2024 年 4 月 13 日 (土) 17 時 6 分 56 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)
403e633501000Dmitry DomanovJune 16, 2022 12:36:14 UTC 2022 年 6 月 16 日 (木) 21 時 36 分 14 秒 (日本時間)
2350Ignacio SantosSeptember 12, 2023 07:50:30 UTC 2023 年 9 月 12 日 (火) 16 時 50 分 30 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)

c141

name 名前Eric Jeancolas
date 日付August 20, 2023 22:58:37 UTC 2023 年 8 月 21 日 (月) 7 時 58 分 37 秒 (日本時間)
composite number 合成数
160475818618107352313581367855709429034222960834664197726727252108914782125161796465903428902664283207399093435249256745225982246873062843811<141>
prime factors 素因数
8429945740957354516561967765456434302648081531677<49>
19036399942460693566645262841180494856488516418747541071770212987573309670183209713061982143<92>
factorization results 素因数分解の結果
160475818618107352313581367855709429034222960834664197726727252108914782125161796465903428902664283207399093435249256745225982246873062843811=8429945740957354516561967765456434302648081531677*19036399942460693566645262841180494856488516418747541071770212987573309670183209713061982143

cado polynomial
n: 160475818618107352313581367855709429034222960834664197726727252108914782125161796465903428902664283207399093435249256745225982246873062843811
skew: 742616.256
c0: -4484450027804836357961268385612305
c1: -66786239660291616745043185301
c2: 34628635337513054851263
c3: -11636184155470227
c4: 35310890530
c5: 77400
Y0: -1155521431303081885147782724
Y1: 16330092733906773961
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 2.421e-07
# f(x) = 77400*x^5+35310890530*x^4-11636184155470227*x^3+34628635337513054851263*x^2-66786239660291616745043185301*x-4484450027804836357961268385612305
# g(x) = 16330092733906773961*x-1155521431303081885147782724

cado parameters (extracts)
tasks.lim0 = 9457107
tasks.lim1 = 12662444
tasks.lpb0 = 28
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 58
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 19036399942460693566645262841180494856488516418747541071770212987573309670183209713061982143 8429945740957354516561967765456434302648081531677
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 1424.66/236.471
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 770.52/597.086
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 473.5s
Info:Linear Algebra: Total cpu/real time for bwc: 56368.3/14711.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 36045.67, WCT time 9378.0, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (61696 iterations)
Info:Linear Algebra: Lingen CPU time 364.33, WCT time 94.41
Info:Linear Algebra: Mksol: CPU time 19566.31,  WCT time 5088.76, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (30976 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 14015.9
Info:Polynomial Selection (root optimized): Rootsieve time: 14011.3
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 33189718
Info:Lattice Sieving: Average J: 3843.14 for 902544 special-q, max bucket fill -bkmult 1.0,1s:1.116320
Info:Lattice Sieving: Total time: 561350s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 69931.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 48425/41.500/50.464/55.240/0.939
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 39760/40.880/45.035/51.150/1.024
Info:Polynomial Selection (size optimized): Total time: 38100.4
Info:Generate Factor Base: Total cpu/real time for makefb: 14.64/2.06577
Info:Square Root: Total cpu/real time for sqrt: 1424.66/236.471
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 294.03/238.272
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 237.79999999999998s
Info:Quadratic Characters: Total cpu/real time for characters: 103.86/25.8761
Info:Generate Free Relations: Total cpu/real time for freerel: 783.7/99.0239
Info:Filtering - Singleton removal: Total cpu/real time for purge: 377.93/309.241
Info:Filtering - Merging: Merged matrix has 1972177 rows and total weight 337205724 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1029.53/145.639
Info:Filtering - Merging: Total cpu/real time for replay: 76.29/65.4131
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.15634e+06/163727
Info:root: Cleaning up computation data in /tmp/cado.zqmgm684
19036399942460693566645262841180494856488516418747541071770212987573309670183209713061982143 8429945740957354516561967765456434302648081531677
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)]
Intel(R) Core(TM) i7-8550U CPU @ 1.80GHz (8 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)
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)
5043e61792 / 6453Dmitry DomanovJune 30, 2024 18:23:04 UTC 2024 年 7 月 1 日 (月) 3 時 23 分 4 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)
403e61792Dmitry DomanovJune 16, 2022 12:38:43 UTC 2022 年 6 月 16 日 (木) 21 時 38 分 43 秒 (日本時間)
4511e60--
5043e60 / 3314--
5511e71728 / 17754BMPZMay 10, 2023 14:08:10 UTC 2023 年 5 月 10 日 (水) 23 時 8 分 10 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)

c148

name 名前Bob Backstrom
date 日付February 29, 2024 10:44:49 UTC 2024 年 2 月 29 日 (木) 19 時 44 分 49 秒 (日本時間)
composite number 合成数
5139457036194299144711912998699824165644387333782896925713884556612499683216353928814394082358283976847138972444782638827171549786545011273175793613<148>
prime factors 素因数
997894225867063372837693462381785364026646267729<48>
5150302409785626894623111871749178191133284212826069664470196494292186145243655517443985020079819197<100>
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 5139457036194299144711912998699824165644387333782896925713884556612499683216353928814394082358283976847138972444782638827171549786545011273175793613 (148 digits)
Using B1=55580000, B2=288597218926, polynomial Dickson(12), sigma=1:334137510
Step 1 took 115452ms
Step 2 took 38182ms
********** Factor found in step 2: 997894225867063372837693462381785364026646267729
Found prime factor of 48 digits: 997894225867063372837693462381785364026646267729
Prime cofactor 5150302409785626894623111871749178191133284212826069664470196494292186145243655517443985020079819197 has 100 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)
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)
4511e64480iveliveApril 5, 2024 02:10:53 UTC 2024 年 4 月 5 日 (金) 11 時 10 分 53 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)

c227

name 名前Seth Troisi
date 日付December 28, 2023 04:27:48 UTC 2023 年 12 月 28 日 (木) 13 時 27 分 48 秒 (日本時間)
composite number 合成数
23107209112022983741946408208031627879319894084167353297906896417537582321128523090468610702796975504784777993544700291781531074783671592485836453329391126114867827540469713464694870730772074096948462595709114658307527099975833<227>
prime factors 素因数
73204686656099026837146535540627040826623006059063005923089<59>
315652045893947057047323830161463150332562434045964530547066067507285041995400449902796154668700925842897059802015177845129693434403477092033043607076673720977039685897<168>
factorization results 素因数分解の結果
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Fri Nov 24 22:06:11 2023
Input number is 23107209112022983741946408208031627879319894084167353297906896417537582321128523090468610702796975504784777993544700291781531074783671592485836453329391126114867827540469713464694870730772074096948462595709114658307527099975833 (227 digits)
Using mpz_mod
Using lmax = 67108864 with NTT which takes about 21504MB of memory
Using B1=10000000000-10000000000, B2=13494038602573560, polynomial x^1
P = 198843645, l = 67108864, s_1 = 33177600, k = s_2 = 2, m_1 = 20
Probability of finding a factor of n digits (assuming one exists):
20      25      30      35      40      45      50      55      60      65
0.82    0.56    0.31    0.14    0.057   0.02    0.0066  0.002   0.00053 0.00014
Step 1 took 0ms
Computing F from factored S_1 took 222882ms
Computing h took 27676ms
Computing DCT-I of h took 72692ms
Multi-point evaluation 1 of 2:
Computing g_i took 92286ms
Computing g*h took 142320ms
Computing gcd of coefficients and N took 26726ms
Step 2 took 585958ms
********** Factor found in step 2: 73204686656099026837146535540627040826623006059063005923089
Found prime factor of 59 digits: 73204686656099026837146535540627040826623006059063005923089
Prime cofactor 315652045893947057047323830161463150332562434045964530547066067507285041995400449902796154668700925842897059802015177845129693434403477092033043607076673720977039685897 has 168 digits
Report your potential champion to Paul Zimmermann <zimmerma@loria.fr>
(see http://www.loria.fr/~zimmerma/records/Pminus1.html)
software ソフトウェア
GMP-ECM 7.0.6, ecm-db 0.1
execution environment 実行環境
1080 Ti for PM1 stage1

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)
403e641421792Dmitry DomanovJune 16, 2022 12:38:32 UTC 2022 年 6 月 16 日 (木) 21 時 38 分 32 秒 (日本時間)
2350Ignacio SantosSeptember 12, 2023 08:04:54 UTC 2023 年 9 月 12 日 (火) 17 時 4 分 54 秒 (日本時間)
4511e64480iveliveApril 8, 2024 08:20:24 UTC 2024 年 4 月 8 日 (月) 17 時 20 分 24 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)
403e641421792Dmitry DomanovJune 16, 2022 12:38:25 UTC 2022 年 6 月 16 日 (木) 21 時 38 分 25 秒 (日本時間)
2350Ignacio SantosSeptember 12, 2023 08:20:07 UTC 2023 年 9 月 12 日 (火) 17 時 20 分 7 秒 (日本時間)
4511e64480iveliveApril 8, 2024 17:10:09 UTC 2024 年 4 月 9 日 (火) 2 時 10 分 9 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)
403e641421792Dmitry DomanovMay 28, 2022 21:37:49 UTC 2022 年 5 月 29 日 (日) 6 時 37 分 49 秒 (日本時間)
2350Ignacio SantosSeptember 12, 2023 08:34:28 UTC 2023 年 9 月 12 日 (火) 17 時 34 分 28 秒 (日本時間)
4511e64480iveliveApril 9, 2024 02:32:21 UTC 2024 年 4 月 9 日 (火) 11 時 32 分 21 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)
403e641421792Dmitry DomanovMay 28, 2022 21:38:02 UTC 2022 年 5 月 29 日 (日) 6 時 38 分 2 秒 (日本時間)
2350Ignacio SantosSeptember 12, 2023 08:55:28 UTC 2023 年 9 月 12 日 (火) 17 時 55 分 28 秒 (日本時間)
4511e64480iveliveApril 7, 2024 22:45:35 UTC 2024 年 4 月 8 日 (月) 7 時 45 分 35 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)
403e641421792Dmitry DomanovJune 16, 2022 12:38:17 UTC 2022 年 6 月 16 日 (木) 21 時 38 分 17 秒 (日本時間)
2350Ignacio SantosSeptember 12, 2023 09:14:57 UTC 2023 年 9 月 12 日 (火) 18 時 14 分 57 秒 (日本時間)
4511e64480iveliveApril 9, 2024 09:52:19 UTC 2024 年 4 月 9 日 (火) 18 時 52 分 19 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)
4511e64480iveliveApril 4, 2024 09:06:57 UTC 2024 年 4 月 4 日 (木) 18 時 6 分 57 秒 (日本時間)

46×10281+359

c256

name 名前ivelive
date 日付April 6, 2024 01:21:08 UTC 2024 年 4 月 6 日 (土) 10 時 21 分 8 秒 (日本時間)
composite number 合成数
9122372916416289124513766381420284945094150782560377587413980070273884104244508026882552631039402661505397489648453188552749854383478927450722561647335296564465498711107072569578060323082813986880297191732051728254690974199947601390542570227458516050354249<256>
prime factors 素因数
60569993907229483876378677354024819799570479241<47>
composite cofactor 合成数の残り
150608780486066143954964070361925674343616076862107138850843835370713519442413922524541969382454093603010062079200452544813361780764826024694129973285381022449046406485233195266561394879741238549859923551549889<210>
factorization results 素因数分解の結果
prp47 = 60569993907229483876378677354024819799570479241 (curve 304 stg2 B1=11000000 sigma=3199662995 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)
403e641421792Dmitry DomanovJune 16, 2022 12:38:06 UTC 2022 年 6 月 16 日 (木) 21 時 38 分 6 秒 (日本時間)
2350Ignacio SantosSeptember 12, 2023 09:24:27 UTC 2023 年 9 月 12 日 (火) 18 時 24 分 27 秒 (日本時間)
4511e64480iveliveApril 6, 2024 01:20:57 UTC 2024 年 4 月 6 日 (土) 10 時 20 分 57 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)
403e641421792Dmitry DomanovMay 28, 2022 21:38:09 UTC 2022 年 5 月 29 日 (日) 6 時 38 分 9 秒 (日本時間)
2350Ignacio SantosSeptember 12, 2023 09:41:07 UTC 2023 年 9 月 12 日 (火) 18 時 41 分 7 秒 (日本時間)
4511e64480iveliveApril 5, 2024 13:07:07 UTC 2024 年 4 月 5 日 (金) 22 時 7 分 7 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

name 名前ivelive
date 日付April 4, 2024 03:47:03 UTC 2024 年 4 月 4 日 (木) 12 時 47 分 3 秒 (日本時間)
composite number 合成数
548355984158319446994629168340920877128325112998431329334935741476347992987792499702133964511755965624891323554756534851463262246371364707188299821227730083346237562963182579007870874579403378183980449936350155143143214429294103080894744584201<243>
prime factors 素因数
119833987558609738953449770898060895113<39>
912155737738386961980300351399244770227<39>
5016647453528983353120305649509215385510488253219545099886806624512820832423042111996417790974322685989432251543986429514645619197829590382210543453115083331946701051<166>
factorization results 素因数分解の結果
prp39 = 912155737738386961980300351399244770227 (curve 93 stg2 B1=11000000 sigma=2660450331 thread=7)
 prp39 = 119833987558609738953449770898060895113 (curve 42 stg2 B1=11000000 sigma=2620757440 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)
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)
403e641421792Dmitry DomanovMay 28, 2022 21:38:22 UTC 2022 年 5 月 29 日 (日) 6 時 38 分 22 秒 (日本時間)
2350Ignacio SantosSeptember 12, 2023 09:58:18 UTC 2023 年 9 月 12 日 (火) 18 時 58 分 18 秒 (日本時間)
4511e64480iveliveApril 4, 2024 02:03:09 UTC 2024 年 4 月 4 日 (木) 11 時 3 分 9 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

c158

name 名前ivelive
date 日付March 20, 2024 01:56:48 UTC 2024 年 3 月 20 日 (水) 10 時 56 分 48 秒 (日本時間)
composite number 合成数
84083333206246080075470876115986749567868273079705089261541954903934706135484490959750505557484371590406606870705411133945506134687491834396864671465532499827<158>
prime factors 素因数
25394976159107174121740636157737684251066940021735893<53>
3311022332899179476834679327848139247489282383415265900499962285745980023982029426578100394678400793600039<106>
factorization results 素因数分解の結果
 prp53 = 25394976159107174121740636157737684251066940021735893 (curve 33 stg2 B1=260000000 sigma=2774110896 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)
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)
5043e61792 / 6453Dmitry DomanovMay 15, 2024 16:45:38 UTC 2024 年 5 月 16 日 (木) 1 時 45 分 38 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)
403e641421792Dmitry DomanovMay 28, 2022 21:38:30 UTC 2022 年 5 月 29 日 (日) 6 時 38 分 30 秒 (日本時間)
2350Ignacio SantosSeptember 12, 2023 10:18:07 UTC 2023 年 9 月 12 日 (火) 19 時 18 分 7 秒 (日本時間)
4511e64480iveliveApril 3, 2024 15:29:38 UTC 2024 年 4 月 4 日 (木) 0 時 29 分 38 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)
403e641421792Dmitry DomanovMay 28, 2022 21:38:38 UTC 2022 年 5 月 29 日 (日) 6 時 38 分 38 秒 (日本時間)
2350Ignacio SantosSeptember 12, 2023 10:35:11 UTC 2023 年 9 月 12 日 (火) 19 時 35 分 11 秒 (日本時間)
4511e64480iveliveApril 7, 2024 01:21:22 UTC 2024 年 4 月 7 日 (日) 10 時 21 分 22 秒 (日本時間)

46×10296+359

c228

name 名前Seth Troisi
date 日付January 2, 2024 18:55:51 UTC 2024 年 1 月 3 日 (水) 3 時 55 分 51 秒 (日本時間)
composite number 合成数
261478500894682621824206259157668116729553439489639454204388072933089811485055755691897949994114437702783131107945640756766382619171199690215775136560697335995368463400474799070470608784427646050715472719103125531877431307459339<228>
prime factors 素因数
118806618230076216357741795377440283041900073<45>
2200874873723900281388268496351228666016346608665909849603480716648694279955834921702722597353389828028965358683101704075107593466521934314860905781941455298886852602198645607474599443<184>
factorization results 素因数分解の結果
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Fri Nov 24 22:06:11 2023
Input number is 261478500894682621824206259157668116729553439489639454204388072933089811485055755691897949994114437702783131107945640756766382619171199690215775136560697335995368463400474799070470608784427646050715472719103125531877431307459339 (228 digits)
Using mpz_mod
Using lmax = 67108864 with NTT which takes about 21504MB of memory
Using B1=10000000000-10000000000, B2=13494038602573560, polynomial x^1
P = 198843645, l = 67108864, s_1 = 33177600, k = s_2 = 2, m_1 = 20
Probability of finding a factor of n digits (assuming one exists):
20   25      30      35      40      45      50      55      60      65
0.82    0.56    0.31    0.14    0.057   0.02    0.0066  0.002   0.00053 0.00014
Step 1 took 0ms
Computing F from factored S_1 took 233872ms
Computing h took 28686ms
Computing DCT-I of h took 76436ms
Multi-point evaluation 1 of 2:
Computing g_i took 95914ms
Computing g*h took 147957ms
Computing gcd of coefficients and N took 27279ms
Step 2 took 611702ms
********** Factor found in step 2: 118806618230076216357741795377440283041900073
Found prime factor of 45 digits: 118806618230076216357741795377440283041900073
Prime cofactor 2200874873723900281388268496351228666016346608665909849603480716648694279955834921702722597353389828028965358683101704075107593466521934314860905781941455298886852602198645607474599443 has 184 digits
software ソフトウェア
GMP-ECM 7.0.6, ecm-db 0.1
execution environment 実行環境
1080 Ti for PM1 stage1

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

name 名前ivelive
date 日付April 6, 2024 08:10:25 UTC 2024 年 4 月 6 日 (土) 17 時 10 分 25 秒 (日本時間)
composite number 合成数
764823575850892122588976277289443265393353812881691103306802666746327438475754724932337168309051468513186764190757462717907089124419731582459302737267486649975726082466254744554947908321154054724043305385573837831591009437001008071216212352338712302528008173509636872637894828179201<282>
prime factors 素因数
10485964495512278171147589743758824273938329<44>
composite cofactor 合成数の残り
72937837637941349954604423401885749544244521523028557536761323176370896659598674262603821676812846215781650337272595354386414423342390268544896152097681351618804281886621320995833184210242451262142596441113659911335135600882431341890630569<239>
factorization results 素因数分解の結果
prp44 = 10485964495512278171147589743758824273938329 (curve 174 stg2 B1=11000000 sigma=2834258970 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)
403e641421792Dmitry DomanovMay 28, 2022 21:38:47 UTC 2022 年 5 月 29 日 (日) 6 時 38 分 47 秒 (日本時間)
2350Ignacio SantosSeptember 12, 2023 10:45:33 UTC 2023 年 9 月 12 日 (火) 19 時 45 分 33 秒 (日本時間)
4511e64480iveliveApril 6, 2024 08:10:15 UTC 2024 年 4 月 6 日 (土) 17 時 10 分 15 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)

46×10301+359

c256

composite cofactor 合成数の残り
5735652786997676757666024974060250487492478416031982728273761919914214985934065169037221553716376536945392500482515889073545487061870702282096454304550073270671712265756531233929404713577670442642674111362156612274307189130688847991541142605167188774789931<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10302+359

c286

composite cofactor 合成数の残り
1954077545080192060883181507415072063181387207042357795912675105471285490026858829463805335317535037795690886724712110625619971702676303736610236409628932036311655339899191592624453953868272666929509203646619814195280593178641181313936918995301480480244830404514144939795688690687283819<286>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)
5043e60 / 4079--
5511e71024 / 17489JohnMarch 9, 2024 11:59:05 UTC 2024 年 3 月 9 日 (土) 20 時 59 分 5 秒 (日本時間)

46×10304+359

c233

composite cofactor 合成数の残り
84376756590243784300948218181751869178187643787297182188479751066853918158978862224774566328676187001417337514225948321895352496440671038364495482540094105392156856381433303644900144787808777148289607467797821937343020499724862727253<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10305+359

c298

composite cofactor 合成数の残り
7259811751976517286649461070636476928882465849352324969312104980918176642409505006385911912332344018269032194258611018568239022736538851131160343840151129079460841242207765885338107069897443874730717208087250374627986926246917450392936916520742477677006066890532431358539068310007124163747610782143<298>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10306+359

c279

composite cofactor 合成数の残り
170712873138680251799375901233357066163377172262989858851545987612828089273398138606599525098235334853399158154524007263741812021633205387918552758879331345783707126627448231395777647232427734967501539419550700859091926298262864669554255869955022560622703481787392992129209286847<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10308+359

c245

composite cofactor 合成数の残り
11353679371767318484813620647796169689212412565157014634959821527046034818424209091650596294077481280851635896646982880254572360084087999090837709322692679467874152790831936687365251192350624522873004739383554468658789774715998019617397799645227<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10309+359

c280

composite cofactor 合成数の残り
1195486794908566654062058681097187973733311852198295157735998814804119570477881956701685091585767199858780222872297834270912467127501865835661453167874231356183842600276387687650834558309106138417167280444416988694976730737339210710878520042521030054254860706698469072946465386049<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10311+359

c290

composite cofactor 合成数の残り
31540211084011790528588127514249372370517453456732964122502408823046193815073838557125739187873412673549397532559345557713776850797942904195938592382991460712429321411622553031914340393483805162894909890026942263544254044230032156534501333467632886330029390486086959444565206571525598782117<290>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10313+359

c311

composite cofactor 合成数の残り
54664289958407605466428995840760546642899584076054664289958407605466428995840760546642899584076054664289958407605466428995840760546642899584076054664289958407605466428995840760546642899584076054664289958407605466428995840760546642899584076054664289958407605466428995840760546642899584076054664289958407605466429<311>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10314+359

c244

composite cofactor 合成数の残り
7271395453377366135221816826461826739259111544860359244757151037694179582081910486586553782746412904106023682297250897643468077503294093196802061111535686352031478513397589665801258430405339291036882752462244473134243801748828452999769422454913<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10315+359

c277

name 名前John
date 日付March 16, 2024 00:00:15 UTC 2024 年 3 月 16 日 (土) 9 時 0 分 15 秒 (日本時間)
composite number 合成数
1167458316014894973080791197899122948343451364408075112362614912932329400837620343989993389714461625918471935574298505798812201604588175812126377030797548095648977654726086153399484252707454931254547931768063615859974517982789694792050713747547326708446677314945000227188620887<277>
prime factors 素因数
15701365673669021244754703673011<32>
2591466340659106856957735527232265882161153<43>
composite cofactor 合成数の残り
28691838827668795443866967953807921780517223802774432118890900975347159940216396975324401197915490557382672827301364007859099222225618070304886011742130727931969328997867226472960230070492575405833251789<203>
factorization results 素因数分解の結果
prp32 = 15701365673669021244754703673011 (curve 5 stg2 B1=11000000 sigma=3643704756 thread=7)
prp43 = 2591466340659106856957735527232265882161153 (curve 144 stg2 B1=11000000 sigma=2706034890 thread=5)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10320+359

c279

composite cofactor 合成数の残り
214065660201971691479485940520951313229601258057943289067267905883245706929299851422913899674149322683367692496714590876102954555907701939080785040301511881184401890959934998712500938889827188342343732314849443742646668579658281456974876625246115366481725963828393317925039344341<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10321+359

c291

composite cofactor 合成数の残り
257803941342248035832344259795031751322228878329865681244041443727614281449916694919493106181378229560039067741935213097293961637901847654868347375589507140307773458031293455181112893182898628513324338208870790958340421991572067775498944925433934261214425699858539299254878568541205455606263<291>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10323+359

c256

composite cofactor 合成数の残り
4217721578619291124736233351650407903402895778063646817500036735557669822267188629642825153081928313554926711597264043348045043431209964798080941459900374625575355548399556386740586951879495469463035398002326539457420603154266643320673701952659424483421481<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10324+359

c271

composite cofactor 合成数の残り
1724796004243641814368828739790626573988927800121358288839375982094787227200144495440049204732313367999307067039234129566372977030693344859984063700292489196902002498620104810796966767027045799479365789588312404918833117751710267202407329831609677921584037585781332738107<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10325+359

c281

name 名前John
date 日付March 18, 2024 11:38:33 UTC 2024 年 3 月 18 日 (月) 20 時 38 分 33 秒 (日本時間)
composite number 合成数
25753039805681984515987602361400626957453234182420370616072469942941177031502407462716070468740494526108109103688360321402643753792947428955610302578175375003689291107733711758533790992396632015088955244541992407387094527633222287328281003621694906427212576924370612903561263637243<281>
prime factors 素因数
29104224041980126764201130130093397915269951227<47>
composite cofactor 合成数の残り
884855743569580423546257999382421797919531477538575785534724071282164114157334649640656697804371854286169449093734046862644454501349879446554978808704632966382486171827392536874035111573668642796054123401142579328078795460322724420609<234>
factorization results 素因数分解の結果
prp47 = 29104224041980126764201130130093397915269951227 (curve 175 stg2 B1=11000000 sigma=2738838292 thread=4)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10327+359

c240

composite cofactor 合成数の残り
102659673502535073786662996068418397170870293193883617379825577880853125441783951344214825657267990794196996568792295224201898606033288258300282284469413371180975424726232036259874112663413689655230681688147790786344434037877044245462927011<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10331+359

c318

composite cofactor 合成数の残り
552212206913278022203239283323188642058113614344248220755776732060619765843142763569342069504912650053052034447513977665530361096841459791482009293259013751206052873194909531438815766581427661786076813548196280075185281918155682695952249739186446298599413126836638627171906500321069812680330187284453239111667620467947<318>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10335+359

c323

composite cofactor 合成数の残り
11499082389964063887182866955393289684938326467549426207357819472574090475575931017607843579000973326146077877356502039284724228766844288483095523061283746395233611844826530344948272356119246192743251299590415729714802295932757963017769470337620909466761649547026077002803023133846674697932190118707243860612606480251874181<323>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10336+359

c315

composite cofactor 合成数の残り
103879794065760246647804528961890517005822169764779575961583042823421556750206657272145801372559840800032521376976835978945490977571686885839540581384598714998558931044696726951161951167044628179417632004257745641574747638663767600479914905829469081520831467440365166328550130184246851676039298032086941217833401343<315>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10338+359

c275

composite cofactor 合成数の残り
15057691090548122604148606191016513163689903836350931442944062636567215117138478102910153479164138747038882977919962244862852954498023126304470893681680810310193037887518143637448091850119749826406391301964921916479888545833107045226983882171546356107279146548524558875029913<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10339+359

c274

composite cofactor 合成数の残り
4185793346655776837142148535049276389662633669985514563006339193271629546819935431365284297011147466982955935323658523351227942349388707497210738319801805843637945999261333674796611213801818032639780178249003705603706702998867195620077373667126138352657727479930252580679093<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10340+359

c341

composite cofactor 合成数の残り
10222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<341>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10341+359

c269

composite cofactor 合成数の残り
18054392230645297030261697790831397893008145847742568742474242645027640180618350759785672262138540009542328533736228978868295102287123684001582362159908838782494895158850402006819338791048024488110120103797531083650004756935268711757877027531866561083430818541959863449<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10343+359

c339

composite cofactor 合成数の残り
285848332603177266357826185571494707145276200951377820033618249551808456760779123129169268818607483633629434921345102827723559805995979481060994441492749705607287889662543615173575185879092369403043041923386432768161467023355673001935690339258472140662236017511317419038120360790308498705914885551920310456145583798613635586874590258164543<339>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10345+359

c339

composite cofactor 合成数の残り
460951934888334644290656849993764623011211603643263886415029999202853773470282153188657556152087483466480802829964300775747033987238746096501189431354161045683493266118524671224779854115727093807777130941964798603836713388654580005899182697147013154215427991115852903623918936191074998533220881102609053085980512655710941450736989493853231<339>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10346+359

c342

composite cofactor 合成数の残り
107170273761804747410148791946386905656377155491253391298472707109466280387723412161729262260803520776471931289875787322921508258517998199073443089672396781630083161802650600444756636111489701752117486577505658473965195288701573888661734504285063609052160471176438382334611222358514852984517390124259272849692526154788822140446643764845121481<342>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10348+359

c347

composite cofactor 合成数の残り
10991636798088410991636798088410991636798088410991636798088410991636798088410991636798088410991636798088410991636798088410991636798088410991636798088410991636798088410991636798088410991636798088410991636798088410991636798088410991636798088410991636798088410991636798088410991636798088410991636798088410991636798088410991636798088410991636798088411<347>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10349+359

c320

composite cofactor 合成数の残り
17674449282665614147532766502428103285305732718646332569031273703228546511204437983510752875611134687698947958992287308133364912268331334178592865963312377771976468987073437839074876052601809736731410185453465928698801144300406791485093526250884557350838758680954454642602680723607410768319762491559820146388937132766351<320>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10350+359

c275

composite cofactor 合成数の残り
22458459907655636560897559794677713644043915304902241514626549837703427319898451418766338940793171449000851515446814065862521191599593514130835475917626475647693106307731756026707487870413897441484613555374984368700031020299370309287756829942537025873941524153011920044804989<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10352+359

c318

composite cofactor 合成数の残り
812561380577731276811156679608519259911826199392436470361593785342982444154796473956936456801425011796741814328973456572372836475813802640356621917556026939016115235623150660903625939147961891670446831197862022642666672029815883960199782955707657546359372008010568718976752263890293428596239547104628804335434541454711<318>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10353+359

c351

composite cofactor 合成数の残り
320445837687216997561825148032044583768721699756182514803204458376872169975618251480320445837687216997561825148032044583768721699756182514803204458376872169975618251480320445837687216997561825148032044583768721699756182514803204458376872169975618251480320445837687216997561825148032044583768721699756182514803204458376872169975618251480320445837687217<351>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10354+359

c308

composite cofactor 合成数の残り
18436500917110318703980447289952569429626947782305988419828617409059349995857438269029925287125014483419315683644069452626797074263809938845578549734534552188960564360449197578207030309382904319475240126605359729566850674678960908030655842989653515308449860338050728518347494555685830631042454405003860076283<308>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)
5043e60--
5511e73072 / 17489iveliveMay 15, 2024 07:43:05 UTC 2024 年 5 月 15 日 (水) 16 時 43 分 5 秒 (日本時間)

46×10355+359

c300

composite cofactor 合成数の残り
105740264765573489040253536332120009838980102937693387704266732970321689613932791154741222980067920368844259977531082506932748007811595220745228813026677962040506749181022687574694885750152837261979736705420341767627978930568696617412667867372829699239277927126388234449433939820707425229129332139719<300>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10356+359

c282

composite cofactor 合成数の残り
559873822237148163517875426066407738635117883958447204467484545280136048883343456257757885146765038218604494051808202551544076336731849096364333659430285364612731664388971800716047539120688699105626677066974701613886945899823250093646704712351065979949940450405600443635444702509137<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10357+359

c304

composite cofactor 合成数の残り
1377044739747050977152043270389813248842158855593790675835160895530881999611309174312864646749821848095334447227277495614622150446963337850723531285652528460933368758008507217311938026041702724971567444635252117416078063562554351250375855554401630648742143656789630852814296520715437306222685772314757187<304>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10359+359

c309

composite cofactor 合成数の残り
441481148958202148524041481015957524833804281237524657378946108466557663647712781736361839828285028070381619117448897754027240268226104876104259575726555201369707493862739729276094590140151988103388065739081594997160976408335282116193015237842836840673038340013509538801896630205854941470727160077781233884803<309>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10360+359

c349

composite cofactor 合成数の残り
5726003592075984468004123804051614010649822498062124273486395964490884440645919891275703253699747728472568441244497602676114814823460520086324239580411780485951920834742831043383377259969909921590828385842699358477849756930963257313216496789971407046790739183746600746460319644755910891815546065629612674243383494811338261750723096399545364657386419<349>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10361+359

c298

composite cofactor 合成数の残り
9364799186825843539497965473138483832850393941094030009410379019459571246687683657925958105343753377588272969315154443219099622660287790692697245530932203761177212831304408168547274391483818508479861125069370385192713498794303855937845627846845538223295253805739583904231711107663822599949688235073<298>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10362+359

c350

composite cofactor 合成数の残り
31890509182384926736384249563532768852444611686214224422312100803357133429880017142373706753472092957233385580564481928566467493930499635218690380305812077258475082624213318756045749134592892284157636444189900520078014446651565758028357340896195072227128618685712525447288060090426182588785474054181001726063849293303771234554566415466183766532767753<350>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10364+359

c362

composite cofactor 合成数の残り
22174017835623041696794408291154495059050373583996143649072065557965774885514581826946252108941913714147987466859484213063388768377922390937575319354061219570980959267293323692456013497228247770547119787900698963605688117618703302000482043865991805254278139310677271631718486382260785731501566642564473367076403952759701132803085080742347553627380091588334538443<362>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10365+359

c346

composite cofactor 合成数の残り
1175403643796327106611484581066913584705072248776858368913375179129271953329315125718731072250151366559407141695105195087448340854139038997513310696313551182769398803035303785856315406178330149286334296787873994969224569147412791707059962256051440808651660807399653156009837653660869253658837161628615610742655749988965355588193029814995827171149<346>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10369+359

c294

composite cofactor 合成数の残り
215590011388859454468880884341025259689792115980155158059484553297547505018153391405103610804799825403784546134784181937592062168654787969502081128560278528760459703953423256779211288175425471274942980350588237254571009133568004153329113549681699064666888498468429020523974614685946267881342667<294>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10370+359

c282

composite cofactor 合成数の残り
450622598878398587829780388636143216848689673511956156855020750443758616074226757061370690960957337919542866364260106904906573973737061374135245324852922142570025352960165071105959341421795776255248976563352284971554407473881118825411625777351908783372531294301586988621799439842069<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10371+359

c349

composite cofactor 合成数の残り
1674174270005386000437351205592843228133513412969299655227290149561248818933145826840485046836608789416122060532724515373978864055275113855468639103564537954862850381408765338830778342473956457307241802836689790493690794262682006092929233001030986133669005098147709259335536036355478277512612336408093942350853800153788526481075717780418740577756203<349>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10372+359

c361

composite cofactor 合成数の残り
4232466782118409309381080184799110369611906719596772487104782077172125134183275178281254317997618102983984246706886767955883567707197944251673616737873990913454980400082382057105133752611626491591267678147208266235667843149203119423881769659399362865647089569953871663741780847410955470472531095353010259732531897417509599470646020319117301427935051935923243051<361>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10373+359

c295

composite cofactor 合成数の残り
3969977201726210476212122736234856952013536132695718933982629946992577275882556720418722613801984511577967495153711145121976103135001306178651996892289319111857229159132299468354469392423120995846929381958386545833015693352562615789624920300487731072203187445741130615334205500893637449556505037<295>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10374+359

c352

composite cofactor 合成数の残り
3985751715582554186203646964063946833082406034628103196349758153329834075835377386073018756038756572395397451030479115222150076096070860791523657626658722351309782788051877725969431059450199125917618845967567435585805500388407586117137455524116724587736190328421634279812684394088390657983556665575598953669414647158306863714085353749468934188041143391<352>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10375+359

c365

composite cofactor 合成数の残り
50472334091217030985719412143254296914544677302341553494076939046914397625882660629135077051052029525453266173219724067422221202156600194951201945229795210996825550046863415998509846864384412281279699714827257590914338136380805606100713818599797157966509645184047399536960540797175067726924038137725294773582805109795247536381537848848687307873310173644085950495669<365>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10376+359

c374

composite cofactor 合成数の残り
99244875943905070118662351672060409924487594390507011866235167206040992448759439050701186623516720604099244875943905070118662351672060409924487594390507011866235167206040992448759439050701186623516720604099244875943905070118662351672060409924487594390507011866235167206040992448759439050701186623516720604099244875943905070118662351672060409924487594390507011866235167206041<374>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10377+359

c356

composite cofactor 合成数の残り
48686836122927605953191652959545786255542967402988132281578598824241050089533327063587210394027937898074092347658518359465254839260642151504270460785713228399646496103667055228073243904269630964557448310854690707619836850175130906115890409472429040481227815488355335133834465110108631569209525723293781953730051341466057821084264299092999140027724332622083<356>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10378+359

c338

composite cofactor 合成数の残り
12719702348427685401394544455582363910983654100002938665054951953382473522240616241335914244883555377245343134575365591763572755906839947962758813129331804744303386590007222501646022214216700021746252295725488522968000427829233150909554373403142425606720498714495956192272184047006967286713401625965121116164806288067314006538875451576271<338>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10379+359

c306

composite cofactor 合成数の残り
184291007837483876780815855544139289988239386919502686321020592452154584393336913068947202255213467729165294472649918294490776508114428279495826192166658900852730163467590416901144822025561728419240281939880323905600838084067133640288567173521324600738650163283699533193732839972692656698920869649664731741<306>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10380+359

c358

composite cofactor 合成数の残り
3069939762073857482734028800157646900276026349652571777490819861489233640444857925645753698291813713360118796277201121690672437869991399975002086269450760758585072581137939857325638469145036761530118766759178647969345628781423091409376853546903950637525777876424972468713926290736913964488448174572397356338773263759218110996776957096704111290010453988591593<358>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10382+359

c236

composite cofactor 合成数の残り
13644450942289972148671591131806401636552792218131637480677822860595691925482099714035836649002706288167822624028610339372389227956347659873458453067095317623124557457930247132951505609641365623574903587274851925108023216436340350924687<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10383+359

c376

name 名前John
date 日付March 9, 2024 11:58:23 UTC 2024 年 3 月 9 日 (土) 20 時 58 分 23 秒 (日本時間)
composite number 合成数
1030493467736071119703813685732618225079641715656522140618676623957652077042079704549995717347555200563997139623438353935703607873785079424371142957458835994745688543862650346602725532683047375148376918071352754391820626563124878427673156536430314779496704727752480227241372828819009715513695745990457166766703500199538818553957375557561231874248559542907776057671360823155673<376>
prime factors 素因数
1263502385314032686877203153<28>
composite cofactor 合成数の残り
815584900918054699114825537943212954273883990513553033764800676119287434518396418835223513927225862710900493908418772823898691655694917842464408674535300178158295955663277998783461327416011656578249274524230358061596963511614096032533539820946223797950164769764155001135390950912604737316608078303226310499586159383959346773527880890145815695368841<348>
factorization results 素因数分解の結果
prp28 = 1263502385314032686877203153 (curve 3 stg2 B1=11000000 sigma=1306333273 thread=1)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10385+359

c339

composite cofactor 合成数の残り
886064679706594463960376795072603970562311119179649688515638248048517442264694730866188866323903794349117716966069942954348610501643321245096869673461511291436014154787112424084499750373377706892780990564802294683634726545442106829382772096130407201053160791015438984099501477542602671838792318327630618744580846987005806172401405027306739<339>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10386+359

c378

composite cofactor 合成数の残り
131777588834211488227731534106992882557641508701658852369521823059325776470440393309447674213597396794350271015787345748300222044821799768510692732134512186365501626575683626432752783541840521681130135797207788246921373331606685963600964779995339493633955243497745594774289127827411369740829247487188626858764661853665842457864606197214990866159428285784114044738207514452768289<378>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10387+359

c352

composite cofactor 合成数の残り
1660574323286827686974221524359018105800343294287651381450897795363099064909502445633416193256983191751627306196512058206180996723920109627312457404708429330868058140000569528646960587973000627242792722085061166240533603935027670024723658914796398720368355907333696498202921486335508270434721928072503599953276051485290330315616548263138676821375054921<352>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10388+359

c270

name 名前John
date 日付March 10, 2024 06:55:35 UTC 2024 年 3 月 10 日 (日) 15 時 55 分 35 秒 (日本時間)
composite number 合成数
416566475032334661637580816689661146390722395400944544317915967967728954653300983736911449316623034763945189036723324768945770453470558731020708819676845606260062069708183102254066541712779142824349611023925532979580918628646567087359125437043011713574311877904395178561<270>
prime factors 素因数
106122835235332122165322055214296154428305831<45>
composite cofactor 合成数の残り
3925323650735300434862234237571630021277392429730035177052002449638395167360072755620238458287624193384968121164682202510649255137038695199430235392599466452301564387772235095919912807385651884574199070272795238894593683343831<226>
factorization results 素因数分解の結果
 prp45 = 106122835235332122165322055214296154428305831 (curve 161 stg2 B1=11000000 sigma=3591493799 thread=0)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10389+359

c335

composite cofactor 合成数の残り
51973847860435580978589570343407941917615413026862437610551154336241743240689831163030533997081132054293828118830271790108579617736070352329963383037752857098299659404102430659516905044129271372142063360615570139628246505580471428170486343654432442365118127007090321981280029364851824022207015047791715850914083860400161971210023424111<335>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10390+359

c287

composite cofactor 合成数の残り
20077845170982752490424970793332460350616052756792457159447946863831500923275816634049913166327910829204207025437943463391207201649025024402731795734521232519545450793784439551568942014315360277598054531554312903056312189582418540236805067503814284148592115357502234595236817139483440349<287>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10394+359

c356

composite cofactor 合成数の残り
42209564281461511345795842314825553551145092305533218637884025952372744629989114439943360782161642789992836895862721282047162236119982896895431470381923558966670387372529124269510330003625456115848008949889000021325437911704833193639804765931051015467432438387671580858058686977296896900093041725197226183545950009562512139569821048661754480606682051232387<356>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10395+359

c329

composite cofactor 合成数の残り
70365241926247555701535373694442744292574569475350922453199535516029557178604154994572468955860740319732171751525897012237362830446408246482845453109851959766032625348842742279576366878215587242122843605125536854440605858456762678516603689142704412303373838364680261342687635646705763788780590480632826414254512128241330786793983<329>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10397+359

c321

composite cofactor 合成数の残り
456970050765286333527272038445555503435113705497728019000705077225319959061778184257144681905053093614888752107968416871394866450195414815406799180009324281051748084552797091336309043180416297917096597552957400868393313326863459059817517817756750294383975856548444586630606373676565293580687879687582703910328629105139157<321>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)

46×10400+359

c401

composite cofactor 合成数の残り
10222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<401>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
4511e64480JohnMarch 9, 2024 09:00:00 UTC 2024 年 3 月 9 日 (土) 18 時 0 分 0 秒 (日本時間)