Table of contents 目次

55×10106+629

c101

name 名前Dmitry Domanov
date 日付October 5, 2022 21:02:02 UTC 2022 年 10 月 6 日 (木) 6 時 2 分 2 秒 (日本時間)
composite number 合成数
33164219931117312217252413119090060635047778787176035317602880535605769802446168742686535772917470899<101>
prime factors 素因数
55641266555727443370119397025016224524277063<44>
596036395000134077975243880797592587427693661661916453173<57>
factorization results 素因数分解の結果
N=33164219931117312217252413119090060635047778787176035317602880535605769802446168742686535772917470899
  ( 101 digits)
SNFS difficulty: 108 digits.
Divisors found:
 r1=55641266555727443370119397025016224524277063 (pp44)
 r2=596036395000134077975243880797592587427693661661916453173 (pp57)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.16 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 33164219931117312217252413119090060635047778787176035317602880535605769802446168742686535772917470899
m: 500000000000000000000000000
deg: 4
c4: 22
c0: 155
skew: 1.63
# Murphy_E = 1.197e-07
type: snfs
lss: 1
rlim: 440000
alim: 440000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 440000/440000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [220000, 400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 45203 x 45428
Total sieving time: 0.15 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,108.000,4,0,0,0,0,0,0,0,0,440000,440000,25,25,44,44,2.2,2.2,20000
total time: 0.16 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10115+629

c116

name 名前Dmitry Domanov
date 日付October 5, 2022 21:39:55 UTC 2022 年 10 月 6 日 (木) 6 時 39 分 55 秒 (日本時間)
composite number 合成数
30555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<116>
prime factors 素因数
2805476385227496552936791125772769834831709<43>
10891396454608831221890345157146989863402542469060925683497344372240357651<74>
factorization results 素因数分解の結果
N=30555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559
  ( 116 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=2805476385227496552936791125772769834831709 (pp43)
 r2=10891396454608831221890345157146989863402542469060925683497344372240357651 (pp74)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.31 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 30555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559
m: 50000000000000000000000000000
deg: 4
c4: 44
c0: 31
skew: 0.92
# Murphy_E = 7.152e-08
type: snfs
lss: 1
rlim: 610000
alim: 610000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 610000/610000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [305000, 625001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 62101 x 62326
Total sieving time: 0.31 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,116.000,4,0,0,0,0,0,0,0,0,610000,610000,25,25,45,45,2.2,2.2,20000
total time: 0.31 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10120+629

c113

name 名前Dmitry Domanov
date 日付October 5, 2022 22:56:18 UTC 2022 年 10 月 6 日 (木) 7 時 56 分 18 秒 (日本時間)
composite number 合成数
65403869213466696626871075971491057503769147687290287993237839260601790609056075163134908863073577395505718663411<113>
prime factors 素因数
39819661929632978043598447002886087772583590462562443<53>
1642501870785459249550187379770111683325733571804066859077177<61>
factorization results 素因数分解の結果
N=65403869213466696626871075971491057503769147687290287993237839260601790609056075163134908863073577395505718663411
  ( 113 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=39819661929632978043598447002886087772583590462562443 (pp53)
 r2=1642501870785459249550187379770111683325733571804066859077177 (pp61)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.99 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 65403869213466696626871075971491057503769147687290287993237839260601790609056075163134908863073577395505718663411
m: 1000000000000000000000000000000
deg: 4
c4: 55
c0: 62
skew: 1.03
# Murphy_E = 2.792e-08
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2

Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 71677 x 71903
Total sieving time: 0.97 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,4,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,75000
total time: 0.99 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10126+629

c122

name 名前Ignacio Santos
date 日付October 6, 2022 07:33:27 UTC 2022 年 10 月 6 日 (木) 16 時 33 分 27 秒 (日本時間)
composite number 合成数
63370918048728779383942500685558113436247704244468871052855954446679709553799605026350779923171403354741181648703891896127<122>
prime factors 素因数
3093643376034667776582105156261215278652616266979362297278499<61>
20484235041323857006869997942441129158982881826814481036984373<62>
factorization results 素因数分解の結果
Number: 1
N=63370918048728779383942500685558113436247704244468871052855954446679709553799605026350779923171403354741181648703891896127
  ( 122 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=3093643376034667776582105156261215278652616266979362297278499 (pp61)
 r2=20484235041323857006869997942441129158982881826814481036984373 (pp62)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.86 hours.
Scaled time: 14.45 units (timescale=7.764).
Factorization parameters were as follows:
n: 63370918048728779383942500685558113436247704244468871052855954446679709553799605026350779923171403354741181648703891896127
m: 50000000000000000000000000000000
deg: 4
c4: 22
c0: 155
skew: 1.63
# Murphy_E = 1.376e-08
type: snfs
lss: 1
rlim: 960000
alim: 960000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 960000/960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [480000, 930001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 140436 x 140661
Total sieving time: 1.84 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,128.000,4,0,0,0,0,0,0,0,0,960000,960000,26,26,47,47,2.3,2.3,75000
total time: 1.86 hours.
 --------- CPU info (if available) ----------
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10134+629

c121

name 名前Ignacio Santos
date 日付October 6, 2022 10:32:20 UTC 2022 年 10 月 6 日 (木) 19 時 32 分 20 秒 (日本時間)
composite number 合成数
1986083285758521246739974508438580637709535023618631134282503743904209890307251352416413543959696294492527864421213395853<121>
prime factors 素因数
14946229071011351870648838867604488801991<41>
132881897923710257352523105826650475009377110699187172408919146411017335625596683<81>
factorization results 素因数分解の結果
Number: 1
N=1986083285758521246739974508438580637709535023618631134282503743904209890307251352416413543959696294492527864421213395853
  ( 121 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=14946229071011351870648838867604488801991 (pp41)
 r2=132881897923710257352523105826650475009377110699187172408919146411017335625596683 (pp81)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.84 hours.
Scaled time: 29.96 units (timescale=7.800).
Factorization parameters were as follows:
n: 1986083285758521246739974508438580637709535023618631134282503743904209890307251352416413543959696294492527864421213395853
m: 5000000000000000000000000000000000
deg: 4
c4: 22
c0: 155
skew: 1.63
# Murphy_E = 5.588e-09
type: snfs
lss: 1
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [650000, 1650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 213695 x 213920
Total sieving time: 3.80 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,136.000,4,0,0,0,0,0,0,0,0,1300000,1300000,26,26,48,48,2.3,2.3,100000
total time: 3.84 hours.
 --------- CPU info (if available) ----------
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10137+629

c128

name 名前Ignacio Santos
date 日付October 6, 2022 11:19:33 UTC 2022 年 10 月 6 日 (木) 20 時 19 分 33 秒 (日本時間)
composite number 合成数
43642560774732119923857106067917364638828269844105943446416675999378335495057046605763072228769749773524338192342793188588806353<128>
prime factors 素因数
88200797466396083315567982966097938034987129<44>
494809140374945533249993598589179584817661297573880364944512187987415649886829260057<84>
factorization results 素因数分解の結果
Number: 1
N=43642560774732119923857106067917364638828269844105943446416675999378335495057046605763072228769749773524338192342793188588806353
  ( 128 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=88200797466396083315567982966097938034987129 (pp44)
 r2=494809140374945533249993598589179584817661297573880364944512187987415649886829260057 (pp84)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.95 hours.
Scaled time: 46.36 units (timescale=7.788).
Factorization parameters were as follows:
n: 43642560774732119923857106067917364638828269844105943446416675999378335495057046605763072228769749773524338192342793188588806353
m: 10000000000000000000000000000000000
deg: 4
c4: 275
c0: 31
skew: 0.58
# Murphy_E = 4.423e-09
type: snfs
lss: 1
rlim: 1420000
alim: 1420000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1420000/1420000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [710000, 1310001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 192053 x 192278
Total sieving time: 5.92 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,138.000,4,0,0,0,0,0,0,0,0,1420000,1420000,26,26,48,48,2.3,2.3,100000
total time: 5.95 hours.
 --------- CPU info (if available) ----------
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10140+629

c123

name 名前Ignacio Santos
date 日付October 6, 2022 11:55:16 UTC 2022 年 10 月 6 日 (木) 20 時 55 分 16 秒 (日本時間)
composite number 合成数
324081425525263064949313056420876518948151944407911091365546692315159127919702815689995366309596586995398713127845175956633<123>
prime factors 素因数
11492306194456386074549230863131992641433<41>
28199859979504566405257842145635749155506479474775821779668257005968929933987974401<83>
factorization results 素因数分解の結果
Number: 1
N=324081425525263064949313056420876518948151944407911091365546692315159127919702815689995366309596586995398713127845175956633
  ( 123 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=11492306194456386074549230863131992641433 (pp41)
 r2=28199859979504566405257842145635749155506479474775821779668257005968929933987974401 (pp83)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.99 hours.
Scaled time: 54.75 units (timescale=7.831).
Factorization parameters were as follows:
n: 324081425525263064949313056420876518948151944407911091365546692315159127919702815689995366309596586995398713127845175956633
m: 100000000000000000000000000000000000
deg: 4
c4: 55
c0: 62
skew: 1.03
# Murphy_E = 2.945e-09
type: snfs
lss: 1
rlim: 1610000
alim: 1610000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1610000/1610000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [805000, 1505001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 254515 x 254742
Total sieving time: 6.94 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,141.000,4,0,0,0,0,0,0,0,0,1610000,1610000,26,26,48,48,2.3,2.3,100000
total time: 6.99 hours.
 --------- CPU info (if available) ----------
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10143+629

c144

name 名前Bob Backstrom
date 日付October 6, 2022 03:15:52 UTC 2022 年 10 月 6 日 (木) 12 時 15 分 52 秒 (日本時間)
composite number 合成数
101851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851853<144>
prime factors 素因数
112473967243624182331653117506530061293282103<45>
905559342734267543221150003186651844733875084994774894311342430129697003189601269880531261575748251<99>
factorization results 素因数分解の結果
Number: n
N=101851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851853  ( 144 digits)
SNFS difficulty: 144 digits.
Divisors found:

Thu Oct  6 14:12:34 2022  p45 factor: 112473967243624182331653117506530061293282103
Thu Oct  6 14:12:34 2022  p99 factor: 905559342734267543221150003186651844733875084994774894311342430129697003189601269880531261575748251
Thu Oct  6 14:12:34 2022  elapsed time 00:03:26 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 55x10^143+62 = 61(142)8
#
n: 101851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851853
m: 500000000000000000000000000000000000
deg: 4
c4: 44
c0: 31
skew: 0.92
# Murphy_E = 3.099e-09
type: snfs
lss: 1
rlim: 1790000
alim: 1790000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1790000/1790000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6495000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 447872 hash collisions in 6150284 relations (6391401 unique)
Msieve: matrix is 253564 x 253790 (86.2 MB)

Sieving start time : 2022/10/06 13:57:01
Sieving end time  : 2022/10/06 14:08:55

Total sieving time: 0hrs 11min 54secs.

Total relation processing time: 0hrs 1min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 17sec.

Prototype def-par.txt line would be:
snfs,144,4,0,0,0,0,0,0,0,0,1790000,1790000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10144+629

c122

name 名前Ignacio Santos
date 日付October 7, 2022 08:07:54 UTC 2022 年 10 月 7 日 (金) 17 時 7 分 54 秒 (日本時間)
composite number 合成数
20745220772364381260703183936491874110437047705775456927341952726163780773847112758897334390399751262432027591126529372341<122>
prime factors 素因数
125966684749575657425190351466292535778121<42>
164688153963933431660762091100626055061172710226250915117430818902951964785335821<81>
factorization results 素因数分解の結果
Number: 1
N=20745220772364381260703183936491874110437047705775456927341952726163780773847112758897334390399751262432027591126529372341
  ( 122 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=125966684749575657425190351466292535778121 (pp42)
 r2=164688153963933431660762091100626055061172710226250915117430818902951964785335821 (pp81)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.74 hours.
Scaled time: 37.16 units (timescale=7.843).
Factorization parameters were as follows:
n: 20745220772364381260703183936491874110437047705775456927341952726163780773847112758897334390399751262432027591126529372341
m: 50000000000000000000000000000
deg: 5
c5: 88
c0: 31
skew: 0.81
# Murphy_E = 2.115e-09
type: snfs
lss: 1
rlim: 1860000
alim: 1860000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1860000/1860000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [930000, 2030001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 306436 x 306660
Total sieving time: 4.68 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,145.000,5,0,0,0,0,0,0,0,0,1860000,1860000,26,26,49,49,2.3,2.3,100000
total time: 4.74 hours.
 --------- CPU info (if available) ----------
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10147+629

c143

name 名前Bob Backstrom
date 日付October 6, 2022 04:32:39 UTC 2022 年 10 月 6 日 (木) 13 時 32 分 39 秒 (日本時間)
composite number 合成数
57869274361386253206483883933174666304720659751814464793385647157356026506231994764408923231672800809748973609506553958363583181294967056600359<143>
prime factors 素因数
57138792515942309460690923256571817428206759022911252685061945237<65>
1012784341657904860604666067009268586529820393651613466141775074833916043580107<79>
factorization results 素因数分解の結果
Number: n
N=57869274361386253206483883933174666304720659751814464793385647157356026506231994764408923231672800809748973609506553958363583181294967056600359  ( 143 digits)
SNFS difficulty: 148 digits.
Divisors found:

Thu Oct  6 15:29:19 2022  p65 factor: 57138792515942309460690923256571817428206759022911252685061945237
Thu Oct  6 15:29:19 2022  p79 factor: 1012784341657904860604666067009268586529820393651613466141775074833916043580107
Thu Oct  6 15:29:19 2022  elapsed time 00:04:23 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 55x10^147+62 = 61(146)8
#
n: 57869274361386253206483883933174666304720659751814464793385647157356026506231994764408923231672800809748973609506553958363583181294967056600359
m: 5000000000000000000000000000000000000
deg: 4
c4: 44
c0: 31
skew: 0.92
# Murphy_E = 1.943e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 420764 hash collisions in 5905641 relations (6159895 unique)
Msieve: matrix is 307217 x 307442 (106.6 MB)

Sieving start time : 2022/10/06 15:03:37
Sieving end time  : 2022/10/06 15:24:44

Total sieving time: 0hrs 21min 7secs.

Total relation processing time: 0hrs 2min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 45sec.

Prototype def-par.txt line would be:
snfs,148,4,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10148+629

c129

name 名前Ignacio Santos
date 日付October 8, 2022 10:05:11 UTC 2022 年 10 月 8 日 (土) 19 時 5 分 11 秒 (日本時間)
composite number 合成数
427739488421431332576258552040414332877186974493889865971640268072706245852911500531466504679255899301089103740625995776355242933<129>
prime factors 素因数
2953173624151527035058111237650743620331837043<46>
144840616522953227960479228659004933616538563943053187565159089983838130031507602231<84>
factorization results 素因数分解の結果
Number: 1
N=427739488421431332576258552040414332877186974493889865971640268072706245852911500531466504679255899301089103740625995776355242933
  ( 129 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=2953173624151527035058111237650743620331837043 (pp46)
 r2=144840616522953227960479228659004933616538563943053187565159089983838130031507602231 (pp84)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.59 hours.
Scaled time: 67.24 units (timescale=7.831).
Factorization parameters were as follows:
n: 427739488421431332576258552040414332877186974493889865971640268072706245852911500531466504679255899301089103740625995776355242933
m: 500000000000000000000000000000
deg: 5
c5: 44
c0: 155
skew: 1.29
# Murphy_E = 1.315e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 1800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 322818 x 323043
Total sieving time: 8.53 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,150.000,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000
total time: 8.59 hours.
 --------- CPU info (if available) ----------
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10151+629

c108

name 名前Eric Jeancolas
date 日付October 7, 2022 01:46:15 UTC 2022 年 10 月 7 日 (金) 10 時 46 分 15 秒 (日本時間)
composite number 合成数
797819385343122701610646866034224021885402369001025678016881869245635618345835829688120400830453850605562743<108>
prime factors 素因数
9303545941724063110754068058267117210160719<43>
85754333921768845256955754862541144018954919211813488638732267097<65>
factorization results 素因数分解の結果
797819385343122701610646866034224021885402369001025678016881869245635618345835829688120400830453850605562743=9303545941724063110754068058267117210160719*85754333921768845256955754862541144018954919211813488638732267097

cado polynomial
n: 797819385343122701610646866034224021885402369001025678016881869245635618345835829688120400830453850605562743
skew: 20931.491
c0: 17057915213267676003081240
c1: 5163767657424776343508
c2: -333594190337160019
c3: -8751973074309
c4: 464396430
c5: 8400
Y0: -916532084515563532411
Y1: 11588360649057851
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 2.059e-06
# f(x) = 8400*x^5+464396430*x^4-8751973074309*x^3-333594190337160019*x^2+5163767657424776343508*x+17057915213267676003081240
# g(x) = 11588360649057851*x-916532084515563532411

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
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: 85754333921768845256955754862541144018954919211813488638732267097 9303545941724063110754068058267117210160719
Info:Square Root: Total cpu/real time for sqrt: 75.13/57.9518
Info:Filtering - Singleton removal: Total cpu/real time for purge: 47.42/76.1401
Info:Filtering - Merging: Merged matrix has 270878 rows and total weight 42009225 (155.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 43.4/34.9322
Info:Filtering - Merging: Total cpu/real time for replay: 9.78/11.1761
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4841158
Info:Lattice Sieving: Average J: 1910.82 for 59175 special-q, max bucket fill -bkmult 1.0,1s:1.292300
Info:Lattice Sieving: Total time: 10862.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 234.21
Info:Polynomial Selection (root optimized): Rootsieve time: 233.23
Info:Linear Algebra: Total cpu/real time for bwc: 1084.17/1030.17
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 517.63, WCT time 503.36, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (8576 iterations)
Info:Linear Algebra: Lingen CPU time 257.17, WCT time 222.57
Info:Linear Algebra: Mksol: CPU time 287.32,  WCT time 283.54, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4352 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11531/31.940/38.268/43.770/1.049
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 8854/30.840/33.899/38.740/0.851
Info:Polynomial Selection (size optimized): Total time: 725.64
Info:Generate Factor Base: Total cpu/real time for makefb: 2.34/0.660634
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 69.76/111.855
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 89.3s
Info:Generate Free Relations: Total cpu/real time for freerel: 62.63/16.2302
Info:Square Root: Total cpu/real time for sqrt: 75.13/57.9518
Info:Quadratic Characters: Total cpu/real time for characters: 10.27/8.69167
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.76/33.7225
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 32.7s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 13287.2/7016.75
Info:root: Cleaning up computation data in /tmp/cado.ub2d3omm
85754333921768845256955754862541144018954919211813488638732267097 9303545941724063110754068058267117210160719
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10153+629

c145

name 名前Bob Backstrom
date 日付October 6, 2022 03:52:02 UTC 2022 年 10 月 6 日 (木) 12 時 52 分 2 秒 (日本時間)
composite number 合成数
1737941883778157507714929889207110534858624010339967015603515689815974761993218090815278351680156665417414449262055369072906275822208188600622049<145>
prime factors 素因数
19216276716503456458505035688102797557782265266104657730757790037<65>
90441135367579619006959856122614820422850453855021057868641290598993973748291677<80>
factorization results 素因数分解の結果
Number: n
N=1737941883778157507714929889207110534858624010339967015603515689815974761993218090815278351680156665417414449262055369072906275822208188600622049  ( 145 digits)
SNFS difficulty: 155 digits.
Divisors found:

Thu Oct  6 14:48:42 2022  p65 factor: 19216276716503456458505035688102797557782265266104657730757790037
Thu Oct  6 14:48:42 2022  p80 factor: 90441135367579619006959856122614820422850453855021057868641290598993973748291677
Thu Oct  6 14:48:42 2022  elapsed time 00:06:11 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.308).
Factorization parameters were as follows:
#
# N = 55x10^153+62 = 61(152)8
#
n: 1737941883778157507714929889207110534858624010339967015603515689815974761993218090815278351680156665417414449262055369072906275822208188600622049
m: 5000000000000000000000000000000
deg: 5
c5: 44
c0: 155
skew: 1.29
# Murphy_E = 8.481e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1132710 hash collisions in 12846672 relations (12537580 unique)
Msieve: matrix is 373172 x 373398 (125.7 MB)

Sieving start time : 2022/10/06 14:20:29
Sieving end time  : 2022/10/06 14:42:14

Total sieving time: 0hrs 21min 45secs.

Total relation processing time: 0hrs 2min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 17sec.

Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10155+629

c117

name 名前Ignacio Santos
date 日付October 8, 2022 13:47:12 UTC 2022 年 10 月 8 日 (土) 22 時 47 分 12 秒 (日本時間)
composite number 合成数
627568133608012137322375962013496106243438662444501396733809992079293386226115043814849501604769515039573474733661849<117>
prime factors 素因数
682490259762729934506056855068120759253473900955044297489<57>
919526871821128023750574362041177574825534913561018189503241<60>
factorization results 素因数分解の結果
Number: 1
N=627568133608012137322375962013496106243438662444501396733809992079293386226115043814849501604769515039573474733661849
  ( 117 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=682490259762729934506056855068120759253473900955044297489 (pp57)
 r2=919526871821128023750574362041177574825534913561018189503241 (pp60)
Version: Msieve v. 1.52 (SVN 927)
Total time: 19.79 hours.
Scaled time: 154.82 units (timescale=7.825).
Factorization parameters were as follows:
n: 627568133608012137322375962013496106243438662444501396733809992079293386226115043814849501604769515039573474733661849
m: 500000000000000000000000000000000000000
deg: 4
c4: 44
c0: 31
skew: 0.92
# Murphy_E = 7.534e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 3200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 519910 x 520136
Total sieving time: 19.67 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,156.000,4,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 19.79 hours.
 --------- CPU info (if available) ----------
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10158+629

c149

name 名前Ignacio Santos
date 日付October 14, 2022 11:01:37 UTC 2022 年 10 月 14 日 (金) 20 時 1 分 37 秒 (日本時間)
composite number 合成数
49728444178747790328856801518782214588283259832612379870366524273040697658770755927627304716329683366488396463686436482650044856732045722565415819369<149>
prime factors 素因数
8317136880601283423516225830416476124516092602287827132715284053<64>
5979033998434410315603492971766443857025014419575861438180863311487151373590372869573<85>
factorization results 素因数分解の結果
Number: 1
N=49728444178747790328856801518782214588283259832612379870366524273040697658770755927627304716329683366488396463686436482650044856732045722565415819369
  ( 149 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=8317136880601283423516225830416476124516092602287827132715284053 (pp64)
 r2=5979033998434410315603492971766443857025014419575861438180863311487151373590372869573 (pp85)
Version: Msieve v. 1.52 (SVN 927)
Total time: 15.75 hours.
Scaled time: 122.48 units (timescale=7.776).
Factorization parameters were as follows:
n: 49728444178747790328856801518782214588283259832612379870366524273040697658770755927627304716329683366488396463686436482650044856732045722565415819369
m: 50000000000000000000000000000000
deg: 5
c5: 44
c0: 155
skew: 1.29
# Murphy_E = 5.443e-10
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1650000, 2850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 673171 x 673396
Total sieving time: 15.56 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 15.75 hours.
 --------- CPU info (if available) ----------
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10160+629

c103

name 名前Eric Jeancolas
date 日付October 6, 2022 08:00:11 UTC 2022 年 10 月 6 日 (木) 17 時 0 分 11 秒 (日本時間)
composite number 合成数
3557214278348553906222950506994846266392452305849891871852230312623969887763980516495004078161223322463<103>
prime factors 素因数
146078140242751689415591635466830659444294534203<48>
24351448289505867847365676281299409509769820710460741421<56>
factorization results 素因数分解の結果
3557214278348553906222950506994846266392452305849891871852230312623969887763980516495004078161223322463=146078140242751689415591635466830659444294534203*24351448289505867847365676281299409509769820710460741421

cado polynomial
n: 355721427834855390622295050699484626639245230584989187185223031262396988776398051649500407816122332246
skew: 81120.171
c0: 32286665240607693539571640
c1: 614966044828178224449
c2: -17580925813788141
c3: -104470582258
c4: 929520
Y0: -935341887148356591566148
Y1: 4806558339841
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=2.206e+12) = 2.096e-06
# f(x) = 929520*x^4-104470582258*x^3-17580925813788141*x^2+614966044828178224449*x+32286665240607693539571640
# g(x) = 4806558339841*x-935341887148356591566148

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: 146078140242751689415591635466830659444294534203 24351448289505867847365676281299409509769820710460741421
Info:Square Root: Total cpu/real time for sqrt: 52.84/15.7339
Info:Filtering - Singleton removal: Total cpu/real time for purge: 16.72/17.9867
Info:Filtering - Merging: Merged matrix has 199103 rows and total weight 29016003 (145.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 25.9/7.91248
Info:Filtering - Merging: Total cpu/real time for replay: 6.27/5.04845
Info:Generate Factor Base: Total cpu/real time for makefb: 1.51/0.430494
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4600580
Info:Lattice Sieving: Average J: 1897.45 for 36300 special-q, max bucket fill -bkmult 1.0,1s:1.286760
Info:Lattice Sieving: Total time: 3671.41s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 150.64
Info:Polynomial Selection (root optimized): Rootsieve time: 150.01
Info:Linear Algebra: Total cpu/real time for bwc: 442.98/118.44
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 255.5, WCT time 67.47, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6272 iterations)
Info:Linear Algebra: Lingen CPU time 28.4, WCT time 7.26
Info:Linear Algebra: Mksol: CPU time 144.88,  WCT time 38.17, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3200 iterations)
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): 9204/29.280/36.184/41.880/1.095
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 6908/29.050/32.133/36.650/0.874
Info:Polynomial Selection (size optimized): Total time: 521.39
Info:Generate Free Relations: Total cpu/real time for freerel: 62.28/16.3202
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 38.54/36.1955
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 28.0s
Info:Square Root: Total cpu/real time for sqrt: 52.84/15.7339
Info:Quadratic Characters: Total cpu/real time for characters: 7.37/2.82437
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.61/15.5478
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 15.5s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 7855.08/2350.25
Info:root: Cleaning up computation data in /tmp/cado.8pp23ts2
146078140242751689415591635466830659444294534203 24351448289505867847365676281299409509769820710460741421
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10161+629

c109

name 名前Eric Jeancolas
date 日付October 6, 2022 12:01:12 UTC 2022 年 10 月 6 日 (木) 21 時 1 分 12 秒 (日本時間)
composite number 合成数
6666224463764099732882999539129680293371167481276966076604407302030106529748315660177714753257721182677861329<109>
prime factors 素因数
99411605098225277423284893684200658143132593342569109<53>
67056803450436461727433033555109934238681700913742901581<56>
factorization results 素因数分解の結果
6666224463764099732882999539129680293371167481276966076604407302030106529748315660177714753257721182677861329=99411605098225277423284893684200658143132593342569109*67056803450436461727433033555109934238681700913742901581

cado polynomial
n: 6666224463764099732882999539129680293371167481276966076604407302030106529748315660177714753257721182677861329
skew: 4313.292
c0: -59563148409301441081212
c1: -95404026429216858249
c2: -142070548313467008
c3: 2487436508879
c4: -1281034310
c5: 303000
Y0: -747919936024866267154
Y1: 10653860130137909
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.979e-06
# f(x) = 303000*x^5-1281034310*x^4+2487436508879*x^3-142070548313467008*x^2-95404026429216858249*x-59563148409301441081212
# g(x) = 10653860130137909*x-747919936024866267154

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
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: 99411605098225277423284893684200658143132593342569109 67056803450436461727433033555109934238681700913742901581
Info:Square Root: Total cpu/real time for sqrt: 77.84/23.2247
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11843/31.670/38.610/44.390/1.081
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9158/30.680/34.215/39.080/0.842
Info:Polynomial Selection (size optimized): Total time: 725.07
Info:Quadratic Characters: Total cpu/real time for characters: 10.05/3.92565
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 64.69/65.9879
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 47.9s
Info:Square Root: Total cpu/real time for sqrt: 77.84/23.2247
Info:Generate Free Relations: Total cpu/real time for freerel: 63.36/16.509
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.21/18.5324
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 40.3/44.5186
Info:Filtering - Merging: Merged matrix has 266376 rows and total weight 41650768 (156.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 40.89/12.2176
Info:Filtering - Merging: Total cpu/real time for replay: 8.89/7.20091
Info:Generate Factor Base: Total cpu/real time for makefb: 2.24/0.63952
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4782307
Info:Lattice Sieving: Average J: 1886.53 for 57012 special-q, max bucket fill -bkmult 1.0,1s:1.293570
Info:Lattice Sieving: Total time: 5902.15s
Info:Linear Algebra: Total cpu/real time for bwc: 853.76/221.92
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 509.16, WCT time 130.77, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8448 iterations)
Info:Linear Algebra: Lingen CPU time 42.35, WCT time 10.76
Info:Linear Algebra: Mksol: CPU time 281.54,  WCT time 72.17, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4224 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 226.98
Info:Polynomial Selection (root optimized): Rootsieve time: 225.94
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 12724/3618.84
Info:root: Cleaning up computation data in /tmp/cado.pd6a8vtr
99411605098225277423284893684200658143132593342569109 67056803450436461727433033555109934238681700913742901581
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10171+629

c113

name 名前Eric Jeancolas
date 日付October 6, 2022 15:53:17 UTC 2022 年 10 月 7 日 (金) 0 時 53 分 17 秒 (日本時間)
composite number 合成数
85896489814051230447149853707412986812440853831497609628791651137378610466226774392503718757252931848171337846871<113>
prime factors 素因数
161930463555862447797430340197105925981<39>
530452935956790063799638350937606794403765145632492389662479409953988474691<75>
factorization results 素因数分解の結果
85896489814051230447149853707412986812440853831497609628791651137378610466226774392503718757252931848171337846871=161930463555862447797430340197105925981*530452935956790063799638350937606794403765145632492389662479409953988474691

cado polynomial
n: 85896489814051230447149853707412986812440853831497609628791651137378610466226774392503718757252931848171337846871
skew: 5683.845
c0: 215027090941695198036768
c1: 1367837180512856487324
c2: -699833501283001089
c3: -68322941598175
c4: 5538002656
c5: 369600
Y0: -810031956015604753966
Y1: 838909331068583249
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.281e-06
# f(x) = 369600*x^5+5538002656*x^4-68322941598175*x^3-699833501283001089*x^2+1367837180512856487324*x+215027090941695198036768
# g(x) = 838909331068583249*x-810031956015604753966

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 4500000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 52
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: 530452935956790063799638350937606794403765145632492389662479409953988474691 161930463555862447797430340197105925981
Info:Square Root: Total cpu/real time for sqrt: 139.62/40.6864
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21433/32.140/40.193/45.290/1.064
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16501/31.250/35.600/40.650/0.828
Info:Polynomial Selection (size optimized): Total time: 1862.83
Info:Quadratic Characters: Total cpu/real time for characters: 15.69/6.19737
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 103.4/108.778
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 82.00s
Info:Square Root: Total cpu/real time for sqrt: 139.62/40.6864
Info:Generate Free Relations: Total cpu/real time for freerel: 64.54/17.1551
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 27.17/27.4584
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 26.699999999999996s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 76.44/85.567
Info:Filtering - Merging: Merged matrix has 419784 rows and total weight 65528065 (156.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 68.44/20.0714
Info:Filtering - Merging: Total cpu/real time for replay: 14.13/11.5083
Info:Generate Factor Base: Total cpu/real time for makefb: 4.01/1.12942
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6729961
Info:Lattice Sieving: Average J: 1895.99 for 111096 special-q, max bucket fill -bkmult 1.0,1s:1.261180
Info:Lattice Sieving: Total time: 12940.9s
Info:Linear Algebra: Total cpu/real time for bwc: 2320.6/598.35
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1431.01, WCT time 365.84, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13184 iterations)
Info:Linear Algebra: Lingen CPU time 64.74, WCT time 16.51
Info:Linear Algebra: Mksol: CPU time 789.57,  WCT time 201.7, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6656 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 385.54
Info:Polynomial Selection (root optimized): Rootsieve time: 384.45
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 28736/7937.57
Info:root: Cleaning up computation data in /tmp/cado.g3b9sglb
530452935956790063799638350937606794403765145632492389662479409953988474691 161930463555862447797430340197105925981
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10172+629

c171

name 名前Bob Backstrom
date 日付October 7, 2022 08:04:02 UTC 2022 年 10 月 7 日 (金) 17 時 4 分 2 秒 (日本時間)
composite number 合成数
296655879180151024811218985976267529665587918015102481121898597626752966558791801510248112189859762675296655879180151024811218985976267529665587918015102481121898597626753<171>
prime factors 素因数
3764430335627038760505890134922136206111815669<46>
40278158046540297262296367029497011519480882735303169<53>
1956519106918917370362207906107348901173225684475918129467061067509649373<73>
factorization results 素因数分解の結果
Number: n
N=296655879180151024811218985976267529665587918015102481121898597626752966558791801510248112189859762675296655879180151024811218985976267529665587918015102481121898597626753  ( 171 digits)
SNFS difficulty: 173 digits.
Divisors found:

Fri Oct  7 18:57:35 2022  found factor: 40278158046540297262296367029497011519480882735303169
Fri Oct  7 18:58:54 2022  p46 factor: 3764430335627038760505890134922136206111815669
Fri Oct  7 18:58:54 2022  p53 factor: 40278158046540297262296367029497011519480882735303169
Fri Oct  7 18:58:54 2022  p73 factor: 1956519106918917370362207906107348901173225684475918129467061067509649373
Fri Oct  7 18:58:54 2022  elapsed time 00:19:09 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.306).
Factorization parameters were as follows:
#
# N = 55x10^172+62 = 61(171)8
#
n: 296655879180151024811218985976267529665587918015102481121898597626752966558791801510248112189859762675296655879180151024811218985976267529665587918015102481121898597626753
m: 10000000000000000000000000000000000
deg: 5
c5: 2750
c0: 31
skew: 0.41
# Murphy_E = 1.376e-10
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1460800 hash collisions in 11885349 relations (11079357 unique)
Msieve: matrix is 928414 x 928639 (323.1 MB)

Sieving start time : 2022/10/07 17:35:25
Sieving end time  : 2022/10/07 18:39:27

Total sieving time: 1hrs 4min 2secs.

Total relation processing time: 0hrs 13min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 39sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10173+629

c129

name 名前Lionel Debroux
date 日付October 12, 2022 15:42:04 UTC 2022 年 10 月 13 日 (木) 0 時 42 分 4 秒 (日本時間)
composite number 合成数
426225345323173520212565684787441573046070122786182024550324023093100981229521202450080421674249623672603789871625960676712093913<129>
prime factors 素因数
4569314934658166929753657613483360489772725823642479<52>
93279923012148358884820620150447697141301708410064152266038610546294583790647<77>
factorization results 素因数分解の結果
4569314934658166929753657613483360489772725823642479
software ソフトウェア
GMP-ECM 7.0.5, B1=43e6
execution environment 実行環境
Ryzen 7 PRO 5750GE, Debian sid amd64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e60--
4511e60 / 2629--
5043e6512 / 7546Lionel DebrouxOctober 12, 2022 15:41:08 UTC 2022 年 10 月 13 日 (木) 0 時 41 分 8 秒 (日本時間)

55×10175+629

c133

name 名前Norman Powell
date 日付October 31, 2022 14:23:30 UTC 2022 年 10 月 31 日 (月) 23 時 23 分 30 秒 (日本時間)
composite number 合成数
1271343193220495278941316153804987018990731231449303501804288441646153521518842299399633503861700181134305735197173288617923868464569<133>
prime factors 素因数
252314729584124349410618128593701079350305983775362617665036681<63>
5038719678854960641904038659560337765030294075824825370205025795651249<70>
factorization results 素因数分解の結果
n: 1271343193220495278941316153804987018990731231449303501804288441646153521518842299399633503861700181134305735197173288617923868464569
skew: 871226.61
c0: 138957669069973051016144877414768
c1: -11921178812941242852701548744
c2: -7318776351206103986738
c3: 38915965836352691
c4: 4171668570
c5: 5328
Y0: -47373960882229897381370539
Y1: 13997777015737
rlim: 10500000
alim: 10500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
final ECM pretested depth: 40.92
nfs: commencing nfs on c133
nfs: best poly = # norm 1.115438e-012 alpha -7.851578 e 5.864e-011 rroots 3
nfs: commencing lattice sieving with 4 threads
nfs: commencing msieve filtering
nfs: commencing msieve linear algebra
nfs: commencing msieve sqrt
prp63 = 252314729584124349410618128593701079350305983775362617665036681
prp70 = 5038719678854960641904038659560337765030294075824825370205025795651249
Total factoring time = 159460.9201 seconds
software ソフトウェア
YAFU v1.53
execution environment 実行環境
Windows 7 Professional x64, Intel Xeon E5-1620.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 14, 2022 10:25:13 UTC 2022 年 10 月 14 日 (金) 19 時 25 分 13 秒 (日本時間)

55×10178+629

c165

name 名前Bob Backstrom
date 日付October 8, 2022 15:27:37 UTC 2022 年 10 月 9 日 (日) 0 時 27 分 37 秒 (日本時間)
composite number 合成数
203303875700975116582993891819072205543085939069497144874817085160279304559025482496778530950029535177495935144597506690734950428454742092863442816700408764122892967<165>
prime factors 素因数
125957843849640299751545699584359136585445160997804340563516058593325573<72>
1614062844261331767700750044664589111574700471452040171215118728500105358833043440455299009979<94>
factorization results 素因数分解の結果
Number: n
N=203303875700975116582993891819072205543085939069497144874817085160279304559025482496778530950029535177495935144597506690734950428454742092863442816700408764122892967  ( 165 digits)
SNFS difficulty: 180 digits.
Divisors found:

Sat Oct  8 21:02:51 2022  p72 factor: 125957843849640299751545699584359136585445160997804340563516058593325573
Sat Oct  8 21:02:51 2022  p94 factor: 1614062844261331767700750044664589111574700471452040171215118728500105358833043440455299009979
Sat Oct  8 21:02:51 2022  elapsed time 00:23:14 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 55x10^178+62 = 61(177)8
#
n: 203303875700975116582993891819072205543085939069497144874817085160279304559025482496778530950029535177495935144597506690734950428454742092863442816700408764122892967
m: 500000000000000000000000000000000000
deg: 5
c5: 44
c0: 155
skew: 1.29
# Murphy_E = 8.804e-11
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 9100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1009951 hash collisions in 11425951 relations (11139953 unique)
Msieve: matrix is 1056756 x 1056982 (369.7 MB)

Sieving start time : 2022/10/08 18:56:50
Sieving end time  : 2022/10/08 20:39:20

Total sieving time: 1hrs 42min 30secs.

Total relation processing time: 0hrs 18min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 23sec.

Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7000000,7000000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10184+629

c126

name 名前Norman Powell
date 日付October 11, 2022 23:22:16 UTC 2022 年 10 月 12 日 (水) 8 時 22 分 16 秒 (日本時間)
composite number 合成数
787767424171348976827612668997590144466456755631774605465583566868194633691895771765943743836798752579479650589346890221477627<126>
prime factors 素因数
2026916216482497014605683822587239394287350529<46>
388653175580408391134528750708077946460976043325725739262158240907336163794656763<81>
factorization results 素因数分解の結果
New best polynomial is:
n: 787767424171348976827612668997590144466456755631774605465583566868194633691895771765943743836798752579479650589346890221477627
skew: 46976.748
c0: 56806372511400324031582544412
c1: -6251130696040242235000027
c2: 18398963529896498990
c3: 3144789199231193
c4: 77957563203
c5: 67860
Y0: -1943001686593632816101133
Y1: 19209954120193729127
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=1.208e+13) = 2.361e-06
# f(x) = 67860*x^5+77957563203*x^4+3144789199231193*x^3+18398963529896498990*
      x^2-6251130696040242235000027*x+56806372511400324031582544412
# g(x) = 19209954120193729127*x-1943001686593632816101133
Factors: 
    388653175580408391134528750708077946460976043325725739262158240907336163794656763
        2026916216482497014605683822587239394287350529
software ソフトウェア
CADO-NFS v3.0.0.
execution environment 実行環境
Ubuntu 20.04.4, Intel Xeon E5-1620.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 8, 2022 09:46:03 UTC 2022 年 10 月 8 日 (土) 18 時 46 分 3 秒 (日本時間)

55×10185+629

c155

name 名前Ignacio Santos
date 日付October 12, 2022 10:40:12 UTC 2022 年 10 月 12 日 (水) 19 時 40 分 12 秒 (日本時間)
composite number 合成数
74188666329531620817344758991617511039331671786794390292013824038497179864958712067043860486203501898575364773123470485330555704681697787322402941121296829<155>
prime factors 素因数
79937005190289461508580697333985529<35>
composite cofactor 合成数の残り
928089139103047935126710369072076348768083070955835427892172187435286164335075257368023777417676079521203607889929929701<120>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1109998249
Step 1 took 4750ms
Step 2 took 2437ms
********** Factor found in step 2: 79937005190289461508580697333985529
Found prime factor of 35 digits: 79937005190289461508580697333985529
Composite cofactor 928089139103047935126710369072076348768083070955835427892172187435286164335075257368023777417676079521203607889929929701 has 120 digits
 
software ソフトウェア
GMP-ECM

c120

name 名前Eric Jeancolas
date 日付October 14, 2022 06:55:55 UTC 2022 年 10 月 14 日 (金) 15 時 55 分 55 秒 (日本時間)
composite number 合成数
928089139103047935126710369072076348768083070955835427892172187435286164335075257368023777417676079521203607889929929701<120>
prime factors 素因数
5666677926376597414866925915351526211039298796578403657<55>
163780110879971823682342537520712477039818016075944130571262952893<66>
factorization results 素因数分解の結果
928089139103047935126710369072076348768083070955835427892172187435286164335075257368023777417676079521203607889929929701=5666677926376597414866925915351526211039298796578403657*163780110879971823682342537520712477039818016075944130571262952893

cado polynomial
n: 928089139103047935126710369072076348768083070955835427892172187435286164335075257368023777417676079521203607889929929701
skew: 31771.159
c0: 1177145676179323000629195300
c1: -274270402707730744251575
c2: -3933148626837669852
c3: 186689334591887
c4: 2994050304
c5: 72360
Y0: -150370850264819881383826
Y1: 3545414631245693
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.402e-06
# f(x) = 72360*x^5+2994050304*x^4+186689334591887*x^3-3933148626837669852*x^2-274270402707730744251575*x+1177145676179323000629195300
# g(x) = 3545414631245693*x-150370850264819881383826

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: 163780110879971823682342537520712477039818016075944130571262952893 5666677926376597414866925915351526211039298796578403657
Info:Square Root: Total cpu/real time for sqrt: 220.24/164.785
Info:Generate Free Relations: Total cpu/real time for freerel: 127.01/88.1905
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 154.24/237.888
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 218.9s
Info:Square Root: Total cpu/real time for sqrt: 220.24/164.785
Info:Filtering - Singleton removal: Total cpu/real time for purge: 66.52/108.303
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 57.52/95.8371
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 95.30000000000001s
Info:Filtering - Merging: Merged matrix has 746125 rows and total weight 75065098 (100.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 56.5/45.5973
Info:Filtering - Merging: Total cpu/real time for replay: 20.48/23.3096
Info:Linear Algebra: Total cpu/real time for bwc: 5881.19/5193.06
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3165.87, WCT time 2783.54, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (23552 iterations)
Info:Linear Algebra: Lingen CPU time 822.58, WCT time 719.45
Info:Linear Algebra: Mksol: CPU time 1821.11,  WCT time 1626.75, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (11776 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.2/4.10572
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13588213
Info:Lattice Sieving: Average J: 1897.24 for 276120 special-q, max bucket fill -bkmult 1.0,1s:1.222570
Info:Lattice Sieving: Total time: 68469.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1839.61
Info:Polynomial Selection (root optimized): Rootsieve time: 1837.04
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): 20441/35.840/42.890/47.920/1.040
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16275/34.110/37.948/43.360/0.830
Info:Polynomial Selection (size optimized): Total time: 2288.92
Info:Quadratic Characters: Total cpu/real time for characters: 24/20.302
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 72521.7/42237.2
Info:root: Cleaning up computation data in /tmp/cado.t7efg54v
163780110879971823682342537520712477039818016075944130571262952893 5666677926376597414866925915351526211039298796578403657
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 13, 2022 13:07:35 UTC 2022 年 10 月 13 日 (木) 22 時 7 分 35 秒 (日本時間)

55×10187+629

c131

name 名前Ignacio Santos
date 日付October 10, 2022 15:10:30 UTC 2022 年 10 月 11 日 (火) 0 時 10 分 30 秒 (日本時間)
composite number 合成数
44519074540979356474962619630339736042610025859612024770846802986627419739931734425045917973234117171421311122127357137853894987901<131>
prime factors 素因数
7975428249049602360748415809068486047<37>
5582029346986414677929247278017476035247295468043983928417117493978268230097205426194469418083<94>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1871267432
Step 1 took 4859ms
Step 2 took 3047ms
********** Factor found in step 2: 7975428249049602360748415809068486047
Found prime factor of 37 digits: 7975428249049602360748415809068486047
Prime cofactor 5582029346986414677929247278017476035247295468043983928417117493978268230097205426194469418083 has 94 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10188+629

c175

name 名前Ignacio Santos
date 日付October 11, 2022 15:51:00 UTC 2022 年 10 月 12 日 (水) 0 時 51 分 0 秒 (日本時間)
composite number 合成数
9937535634386713279136031107912643259150083798209628555622751452440864189460316666723511553681596308344352979161452020808432424364471810494680397514733861520597882527712134939<175>
prime factors 素因数
175489110955148786558414067721849290029<39>
composite cofactor 合成数の残り
56627648178846447141102150871950616202577662309065446409073757515371801920926807511311562698375338885262972957836910276175982931920818791<137>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2021939513
Step 1 took 6047ms
********** Factor found in step 2: 175489110955148786558414067721849290029
Found prime factor of 39 digits: 175489110955148786558414067721849290029
Composite cofactor 56627648178846447141102150871950616202577662309065446409073757515371801920926807511311562698375338885262972957836910276175982931920818791 has 137 digits
 
software ソフトウェア
GMP-ECM

c137

name 名前Ignacio Santos
date 日付October 13, 2022 13:08:02 UTC 2022 年 10 月 13 日 (木) 22 時 8 分 2 秒 (日本時間)
composite number 合成数
56627648178846447141102150871950616202577662309065446409073757515371801920926807511311562698375338885262972957836910276175982931920818791<137>
prime factors 素因数
72004841075250090631298733519810118031<38>
786442235455621624756944402855109159806683508578720045911029403252494035105639321197661526522561961<99>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4119291905
Step 1 took 5922ms
Step 2 took 3390ms
********** Factor found in step 2: 72004841075250090631298733519810118031
Found prime factor of 38 digits: 72004841075250090631298733519810118031
Prime cofactor 786442235455621624756944402855109159806683508578720045911029403252494035105639321197661526522561961 has 99 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10189+629

c161

name 名前Bob Backstrom
date 日付October 17, 2022 10:32:07 UTC 2022 年 10 月 17 日 (月) 19 時 32 分 7 秒 (日本時間)
composite number 合成数
49350895943643848484434795710523651996475587211542285643253128761424118045438566570032668907490989008672981193100331579889584622741113914918926014642797328332689<161>
prime factors 素因数
76600278857654467126164248371435808467<38>
148844133116268341806518586756476604104533<42>
4328455627835211651881491817280892436481705260912975779910882909068506455746997599<82>
factorization results 素因数分解の結果
Number: n
N=644265225657365103627291864237671991222821738736301468634043773643323092726310269327480620282862226420098226226274696016267  ( 123 digits)
Divisors found:

Mon Oct 17 21:28:24 2022  p42 factor: 148844133116268341806518586756476604104533
Mon Oct 17 21:28:24 2022  p82 factor: 4328455627835211651881491817280892436481705260912975779910882909068506455746997599
Mon Oct 17 21:28:24 2022  elapsed time 00:07:28 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 55x10^189+62 = 61(188)8
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 49350895943643848484434795710523651996475587211542285643253128761424118045438566570032668907490989008672981193100331579889584622741113914918926014642797328332689 (161 digits)
# Using B1=15170000, B2=46847553490, polynomial Dickson(12), sigma=1:65228649
# Step 1 took 36010ms
# Step 2 took 14093ms
# ********** Factor found in step 2: 76600278857654467126164248371435808467
# Found prime factor of 38 digits: 76600278857654467126164248371435808467
# Composite cofactor 644265225657365103627291864237671991222821738736301468634043773643323092726310269327480620282862226420098226226274696016267 has 123 digits
#

n: 644265225657365103627291864237671991222821738736301468634043773643323092726310269327480620282862226420098226226274696016267

Y0: -1399083609833963848109284
Y1: 193242031161641
c0: 218074022999932648668980945403795
c1: 747899238453448022463540460
c2: -3315815934355366624809
c3: -452036445670410
c4: 1331616476
c5: 120

# skew 1523342.60, size 8.486e-12, alpha -7.814, combined = 2.010e-10 rroots = 5

skew: 1523342.60
type: gnfs
rlim: 2400000
alim: 2400000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved  special-q in [100000, 14000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1286920 hash collisions in 8429785 relations (7411949 unique)
Msieve: matrix is 526885 x 527110 (184.9 MB)

Sieving start time : 2022/10/17 19:54:37
Sieving end time  : 2022/10/17 21:20:40

Total sieving time: 1hrs 26min 3secs.

Total relation processing time: 0hrs 3min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 24sec.

Prototype def-par.txt line would be:
gnfs,122,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,26,26,50,50,2.6,2.6,60000
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 11, 2022 14:55:37 UTC 2022 年 10 月 11 日 (火) 23 時 55 分 37 秒 (日本時間)

55×10191+629

c181

name 名前Bob Backstrom
date 日付October 19, 2022 23:01:14 UTC 2022 年 10 月 20 日 (木) 8 時 1 分 14 秒 (日本時間)
composite number 合成数
1858020538245543189733967093723473830159716827449750362982770566848583452187829776156522494126684396416631705949356977941199780444513485822906375069221380366823129588198348194507689<181>
prime factors 素因数
1749773782049658713939818106106537379227874335319925887029224098902443543<73>
1061863286160960677008992201893524760661714106917707719000178919572444119401599519840315877830478229975823423<109>
factorization results 素因数分解の結果
Number: n
N=1858020538245543189733967093723473830159716827449750362982770566848583452187829776156522494126684396416631705949356977941199780444513485822906375069221380366823129588198348194507689  ( 181 digits)
SNFS difficulty: 192 digits.
Divisors found:

Thu Oct 20 09:54:12 2022  p73 factor: 1749773782049658713939818106106537379227874335319925887029224098902443543
Thu Oct 20 09:54:12 2022  p109 factor: 1061863286160960677008992201893524760661714106917707719000178919572444119401599519840315877830478229975823423
Thu Oct 20 09:54:12 2022  elapsed time 01:07:32 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 55x10^191+62 = 61(190)8
#
n: 1858020538245543189733967093723473830159716827449750362982770566848583452187829776156522494126684396416631705949356977941199780444513485822906375069221380366823129588198348194507689
m: 100000000000000000000000000000000000000
deg: 5
c5: 275
c0: 31
skew: 0.65
# Murphy_E = 3.268e-11
type: snfs
lss: 1
rlim: 11300000
alim: 11300000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11300000/11300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18461263)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1455342 hash collisions in 13115971 relations (12435097 unique)
Msieve: matrix is 1580337 x 1580562 (554.2 MB)

Sieving start time : 2022/10/20 04:44:25
Sieving end time  : 2022/10/20 08:46:22

Total sieving time: 4hrs 1min 57secs.

Total relation processing time: 0hrs 48min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 15min 5sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11300000,11300000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 14, 2022 15:52:07 UTC 2022 年 10 月 15 日 (土) 0 時 52 分 7 秒 (日本時間)

55×10192+629

c180

name 名前Bob Backstrom
date 日付October 20, 2022 13:15:36 UTC 2022 年 10 月 20 日 (木) 22 時 15 分 36 秒 (日本時間)
composite number 合成数
970697891847610333853020234409063468555656364684349469165461152823049665375148833443712196629907336914239113889462217206788754348327416373154417701667552162326380232801020682889331<180>
prime factors 素因数
162976571144396524499212197769012552232348628556930430350421371385403409609<75>
5956057886305487893437050120600763636732316903786631193163544192360329524043850490753319713683201570573659<106>
factorization results 素因数分解の結果
Number: n
N=970697891847610333853020234409063468555656364684349469165461152823049665375148833443712196629907336914239113889462217206788754348327416373154417701667552162326380232801020682889331  ( 180 digits)
SNFS difficulty: 193 digits.
Divisors found:

Thu Oct 20 23:06:53 2022  p75 factor: 162976571144396524499212197769012552232348628556930430350421371385403409609
Thu Oct 20 23:06:53 2022  p106 factor: 5956057886305487893437050120600763636732316903786631193163544192360329524043850490753319713683201570573659
Thu Oct 20 23:06:53 2022  elapsed time 01:08:14 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 55x10^192+62 = 61(191)8
#
n: 970697891847610333853020234409063468555656364684349469165461152823049665375148833443712196629907336914239113889462217206788754348327416373154417701667552162326380232801020682889331
m: 100000000000000000000000000000000000000
deg: 5
c5: 2750
c0: 31
skew: 0.41
# Murphy_E = 2.125e-11
type: snfs
lss: 1
rlim: 11700000
alim: 11700000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11700000/11700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18730981)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1958334 hash collisions in 14125950 relations (12899942 unique)
Msieve: matrix is 1759316 x 1759542 (615.6 MB)

Sieving start time : 2022/10/20 15:30:46
Sieving end time  : 2022/10/20 21:58:03

Total sieving time: 6hrs 27min 17secs.

Total relation processing time: 1hrs 1min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 34sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11700000,11700000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 17, 2022 10:07:40 UTC 2022 年 10 月 17 日 (月) 19 時 7 分 40 秒 (日本時間)

55×10193+629

c178

name 名前Bob Backstrom
date 日付October 20, 2022 22:03:18 UTC 2022 年 10 月 21 日 (金) 7 時 3 分 18 秒 (日本時間)
composite number 合成数
4187645938193919605635311482988884044438633816409799245013571265429102077513190253419771847808013476071383637821864731629244727723790211661692143736910183418991419342877701636037<178>
prime factors 素因数
2531016826729227157880662323631129910906415959908902316146911<61>
1654531054068698090690408681237027404800303442341177994722945690400217608871384718711715137561667947512852881500463067<118>
factorization results 素因数分解の結果
Number: n
N=4187645938193919605635311482988884044438633816409799245013571265429102077513190253419771847808013476071383637821864731629244727723790211661692143736910183418991419342877701636037  ( 178 digits)
SNFS difficulty: 195 digits.
Divisors found:

Fri Oct 21 08:42:25 2022  p61 factor: 2531016826729227157880662323631129910906415959908902316146911
Fri Oct 21 08:42:25 2022  p118 factor: 1654531054068698090690408681237027404800303442341177994722945690400217608871384718711715137561667947512852881500463067
Fri Oct 21 08:42:25 2022  elapsed time 01:08:50 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.301).
Factorization parameters were as follows:
#
# N = 55x10^193+62 = 61(192)8
#
n: 4187645938193919605635311482988884044438633816409799245013571265429102077513190253419771847808013476071383637821864731629244727723790211661692143736910183418991419342877701636037
m: 500000000000000000000000000000000000000
deg: 5
c5: 44
c0: 155
skew: 1.29
# Murphy_E = 2.142e-11
type: snfs
lss: 1
rlim: 12500000
alim: 12500000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 12500000/12500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 19050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1814394 hash collisions in 14188630 relations (12775158 unique)
Msieve: matrix is 1771291 x 1771516 (618.8 MB)

Sieving start time : 2022/10/21 00:18:40
Sieving end time  : 2022/10/21 06:27:14

Total sieving time: 6hrs 8min 34secs.

Total relation processing time: 1hrs 2min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 15sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12500000,12500000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------


==============================================================
SEE FULL MSIEVE.LOG showing Currupt State and NO Checkpoin file available.

Fri Oct 21 07:32:27 2022  error: corrupt state, please restart from checkpoint
==============================================================

Fri Oct 21 06:27:14 2022  
Fri Oct 21 06:27:14 2022  
Fri Oct 21 06:27:14 2022  Msieve v. 1.54 (SVN Unversioned directory)
Fri Oct 21 06:27:14 2022  random seeds: 5bdb92ea a8ee6b43
Fri Oct 21 06:27:14 2022  factoring 4187645938193919605635311482988884044438633816409799245013571265429102077513190253419771847808013476071383637821864731629244727723790211661692143736910183418991419342877701636037 (178 digits)
Fri Oct 21 06:27:15 2022  no P-1/P+1/ECM available, skipping
Fri Oct 21 06:27:15 2022  commencing number field sieve (178-digit input)
Fri Oct 21 06:27:15 2022  R0: -500000000000000000000000000000000000000
Fri Oct 21 06:27:15 2022  R1: 1
Fri Oct 21 06:27:15 2022  A0: 155
Fri Oct 21 06:27:15 2022  A1: 0
Fri Oct 21 06:27:15 2022  A2: 0
Fri Oct 21 06:27:15 2022  A3: 0
Fri Oct 21 06:27:15 2022  A4: 0
Fri Oct 21 06:27:15 2022  A5: 44
Fri Oct 21 06:27:15 2022  skew 1.00, size 1.093e-13, alpha 0.506, combined = 2.109e-11 rroots = 1
Fri Oct 21 06:27:15 2022  
Fri Oct 21 06:27:15 2022  commencing relation filtering
Fri Oct 21 06:27:15 2022  estimated available RAM is 15947.9 MB
Fri Oct 21 06:27:15 2022  commencing duplicate removal, pass 1
Fri Oct 21 06:27:15 2022  found 0 hash collisions in 0 relations
Fri Oct 21 06:27:15 2022  reading ideals above 30000
Fri Oct 21 06:27:15 2022  commencing singleton removal, initial pass
Fri Oct 21 06:27:15 2022  memory use: 0.1 MB
Fri Oct 21 06:27:15 2022  reading all ideals from disk
Fri Oct 21 06:27:15 2022  memory use: 0.0 MB
Fri Oct 21 06:27:15 2022  commencing in-memory singleton removal
Fri Oct 21 06:27:15 2022  begin with 0 relations and 0 unique ideals
Fri Oct 21 06:27:15 2022  reduce to 0 relations and 0 ideals in 1 passes
Fri Oct 21 06:27:15 2022  max relations containing the same ideal: 0
Fri Oct 21 06:27:15 2022  filtering wants 1000000 more relations
Fri Oct 21 06:27:15 2022  elapsed time 00:00:01
Fri Oct 21 06:27:35 2022  
Fri Oct 21 06:27:35 2022  
Fri Oct 21 06:27:35 2022  Msieve v. 1.54 (SVN Unversioned directory)
Fri Oct 21 06:27:35 2022  random seeds: 212e9526 dab2866b
Fri Oct 21 06:27:35 2022  factoring 4187645938193919605635311482988884044438633816409799245013571265429102077513190253419771847808013476071383637821864731629244727723790211661692143736910183418991419342877701636037 (178 digits)
Fri Oct 21 06:27:36 2022  no P-1/P+1/ECM available, skipping
Fri Oct 21 06:27:36 2022  commencing number field sieve (178-digit input)
Fri Oct 21 06:27:36 2022  R0: -500000000000000000000000000000000000000
Fri Oct 21 06:27:36 2022  R1: 1
Fri Oct 21 06:27:36 2022  A0: 155
Fri Oct 21 06:27:36 2022  A1: 0
Fri Oct 21 06:27:36 2022  A2: 0
Fri Oct 21 06:27:36 2022  A3: 0
Fri Oct 21 06:27:36 2022  A4: 0
Fri Oct 21 06:27:36 2022  A5: 44
Fri Oct 21 06:27:36 2022  skew 1.00, size 1.093e-13, alpha 0.506, combined = 2.109e-11 rroots = 1
Fri Oct 21 06:27:36 2022  
Fri Oct 21 06:27:36 2022  commencing relation filtering
Fri Oct 21 06:27:36 2022  estimated available RAM is 15947.9 MB
Fri Oct 21 06:27:36 2022  commencing duplicate removal, pass 1
Fri Oct 21 06:27:43 2022  error -9 reading relation 695872
Fri Oct 21 06:27:46 2022  error -5 reading relation 1042613
Fri Oct 21 06:27:57 2022  error -9 reading relation 2767527
Fri Oct 21 06:28:00 2022  error -9 reading relation 3343184
Fri Oct 21 06:28:01 2022  error -5 reading relation 3614781
Fri Oct 21 06:28:04 2022  error -9 reading relation 4151429
Fri Oct 21 06:28:08 2022  error -5 reading relation 4700087
Fri Oct 21 06:28:12 2022  error -5 reading relation 5553439
Fri Oct 21 06:28:14 2022  error -9 reading relation 5833946
Fri Oct 21 06:28:19 2022  error -11 reading relation 6676195
Fri Oct 21 06:28:20 2022  error -15 reading relation 6956681
Fri Oct 21 06:28:27 2022  error -15 reading relation 8075668
Fri Oct 21 06:28:28 2022  error -11 reading relation 8352737
Fri Oct 21 06:28:31 2022  error -5 reading relation 8903429
Fri Oct 21 06:28:36 2022  error -15 reading relation 9768792
Fri Oct 21 06:28:38 2022  error -15 reading relation 10061178
Fri Oct 21 06:28:41 2022  error -9 reading relation 10642862
Fri Oct 21 06:28:44 2022  error -5 reading relation 11224228
Fri Oct 21 06:28:46 2022  error -15 reading relation 11514051
Fri Oct 21 06:28:47 2022  error -15 reading relation 11802889
Fri Oct 21 06:28:49 2022  error -15 reading relation 12091972
Fri Oct 21 06:28:54 2022  error -5 reading relation 12951855
Fri Oct 21 06:28:57 2022  error -9 reading relation 13522851
Fri Oct 21 06:28:59 2022  skipped 2 relations with b > 2^32
Fri Oct 21 06:28:59 2022  skipped 21 relations with composite factors
Fri Oct 21 06:28:59 2022  found 1785440 hash collisions in 13808765 relations
Fri Oct 21 06:29:08 2022  added 379866 free relations
Fri Oct 21 06:29:08 2022  commencing duplicate removal, pass 2
Fri Oct 21 06:29:11 2022  found 1413473 duplicates and 12775158 unique relations
Fri Oct 21 06:29:11 2022  memory use: 53.3 MB
Fri Oct 21 06:29:11 2022  reading ideals above 720000
Fri Oct 21 06:29:11 2022  commencing singleton removal, initial pass
Fri Oct 21 06:30:18 2022  memory use: 344.5 MB
Fri Oct 21 06:30:18 2022  reading all ideals from disk
Fri Oct 21 06:30:18 2022  memory use: 420.9 MB
Fri Oct 21 06:30:19 2022  commencing in-memory singleton removal
Fri Oct 21 06:30:20 2022  begin with 12775157 relations and 13046762 unique ideals
Fri Oct 21 06:30:27 2022  reduce to 7563323 relations and 7135467 ideals in 15 passes
Fri Oct 21 06:30:27 2022  max relations containing the same ideal: 111
Fri Oct 21 06:30:29 2022  removing 954967 relations and 808492 ideals in 146475 cliques
Fri Oct 21 06:30:29 2022  commencing in-memory singleton removal
Fri Oct 21 06:30:30 2022  begin with 6608356 relations and 7135467 unique ideals
Fri Oct 21 06:30:33 2022  reduce to 6506993 relations and 6223023 ideals in 8 passes
Fri Oct 21 06:30:33 2022  max relations containing the same ideal: 100
Fri Oct 21 06:30:35 2022  removing 724809 relations and 578334 ideals in 146475 cliques
Fri Oct 21 06:30:35 2022  commencing in-memory singleton removal
Fri Oct 21 06:30:35 2022  begin with 5782184 relations and 6223023 unique ideals
Fri Oct 21 06:30:38 2022  reduce to 5717433 relations and 5578448 ideals in 7 passes
Fri Oct 21 06:30:38 2022  max relations containing the same ideal: 94
Fri Oct 21 06:30:40 2022  relations with 0 large ideals: 2940
Fri Oct 21 06:30:40 2022  relations with 1 large ideals: 551
Fri Oct 21 06:30:40 2022  relations with 2 large ideals: 10224
Fri Oct 21 06:30:40 2022  relations with 3 large ideals: 81372
Fri Oct 21 06:30:40 2022  relations with 4 large ideals: 355485
Fri Oct 21 06:30:40 2022  relations with 5 large ideals: 920941
Fri Oct 21 06:30:40 2022  relations with 6 large ideals: 1548020
Fri Oct 21 06:30:40 2022  relations with 7+ large ideals: 2797900
Fri Oct 21 06:30:40 2022  commencing 2-way merge
Fri Oct 21 06:30:43 2022  reduce to 3754715 relation sets and 3615730 unique ideals
Fri Oct 21 06:30:43 2022  commencing full merge
Fri Oct 21 06:31:40 2022  memory use: 474.5 MB
Fri Oct 21 06:31:40 2022  found 1787207 cycles, need 1771930
Fri Oct 21 06:31:40 2022  weight of 1771930 cycles is about 159893675 (90.24/cycle)
Fri Oct 21 06:31:40 2022  distribution of cycle lengths:
Fri Oct 21 06:31:40 2022  1 relations: 154434
Fri Oct 21 06:31:40 2022  2 relations: 171608
Fri Oct 21 06:31:40 2022  3 relations: 175608
Fri Oct 21 06:31:40 2022  4 relations: 165697
Fri Oct 21 06:31:40 2022  5 relations: 153000
Fri Oct 21 06:31:40 2022  6 relations: 138086
Fri Oct 21 06:31:40 2022  7 relations: 124170
Fri Oct 21 06:31:40 2022  8 relations: 109731
Fri Oct 21 06:31:40 2022  9 relations: 96701
Fri Oct 21 06:31:40 2022  10+ relations: 482895
Fri Oct 21 06:31:40 2022  heaviest cycle: 27 relations
Fri Oct 21 06:31:41 2022  commencing cycle optimization
Fri Oct 21 06:31:43 2022  start with 12547581 relations
Fri Oct 21 06:32:00 2022  pruned 478403 relations
Fri Oct 21 06:32:00 2022  memory use: 362.4 MB
Fri Oct 21 06:32:00 2022  distribution of cycle lengths:
Fri Oct 21 06:32:00 2022  1 relations: 154434
Fri Oct 21 06:32:00 2022  2 relations: 176225
Fri Oct 21 06:32:00 2022  3 relations: 183786
Fri Oct 21 06:32:00 2022  4 relations: 171840
Fri Oct 21 06:32:00 2022  5 relations: 159377
Fri Oct 21 06:32:00 2022  6 relations: 142336
Fri Oct 21 06:32:00 2022  7 relations: 127989
Fri Oct 21 06:32:00 2022  8 relations: 111431
Fri Oct 21 06:32:00 2022  9 relations: 97547
Fri Oct 21 06:32:00 2022  10+ relations: 446965
Fri Oct 21 06:32:00 2022  heaviest cycle: 26 relations
Fri Oct 21 06:32:01 2022  RelProcTime: 265
Fri Oct 21 06:32:01 2022  
Fri Oct 21 06:32:01 2022  commencing linear algebra
Fri Oct 21 06:32:02 2022  read 1771930 cycles
Fri Oct 21 06:32:04 2022  cycles contain 5593919 unique relations
Fri Oct 21 06:32:24 2022  read 5593919 relations
Fri Oct 21 06:32:31 2022  using 20 quadratic characters above 4294917295
Fri Oct 21 06:32:50 2022  building initial matrix
Fri Oct 21 06:33:32 2022  memory use: 721.7 MB
Fri Oct 21 06:33:33 2022  read 1771930 cycles
Fri Oct 21 06:33:33 2022  matrix is 1771753 x 1771930 (649.5 MB) with weight 191336952 (107.98/col)
Fri Oct 21 06:33:33 2022  sparse part has weight 150760474 (85.08/col)
Fri Oct 21 06:33:44 2022  filtering completed in 2 passes
Fri Oct 21 06:33:44 2022  matrix is 1771349 x 1771526 (649.4 MB) with weight 191320862 (108.00/col)
Fri Oct 21 06:33:44 2022  sparse part has weight 150754410 (85.10/col)
Fri Oct 21 06:33:53 2022  matrix starts at (0, 0)
Fri Oct 21 06:33:53 2022  matrix is 1771349 x 1771526 (649.4 MB) with weight 191320862 (108.00/col)
Fri Oct 21 06:33:53 2022  sparse part has weight 150754410 (85.10/col)
Fri Oct 21 06:33:53 2022  saving the first 48 matrix rows for later
Fri Oct 21 06:33:53 2022  matrix includes 64 packed rows
Fri Oct 21 06:33:53 2022  matrix is 1771301 x 1771526 (618.8 MB) with weight 157814270 (89.08/col)
Fri Oct 21 06:33:53 2022  sparse part has weight 144507831 (81.57/col)
Fri Oct 21 06:33:53 2022  using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
Fri Oct 21 06:33:58 2022  commencing Lanczos iteration (16 threads)
Fri Oct 21 06:33:58 2022  memory use: 588.0 MB
Fri Oct 21 06:34:01 2022  linear algebra at 0.1%, ETA 0h58m
Fri Oct 21 06:34:02 2022  checkpointing every 1830000 dimensions
Fri Oct 21 07:32:27 2022  error: corrupt state, please restart from checkpoint
Fri Oct 21 07:33:20 2022  
Fri Oct 21 07:33:20 2022  
Fri Oct 21 07:33:20 2022  Msieve v. 1.54 (SVN Unversioned directory)
Fri Oct 21 07:33:20 2022  random seeds: 17525fa8 7274a3c2
Fri Oct 21 07:33:20 2022  factoring 4187645938193919605635311482988884044438633816409799245013571265429102077513190253419771847808013476071383637821864731629244727723790211661692143736910183418991419342877701636037 (178 digits)
Fri Oct 21 07:33:20 2022  no P-1/P+1/ECM available, skipping
Fri Oct 21 07:33:20 2022  commencing number field sieve (178-digit input)
Fri Oct 21 07:33:20 2022  R0: -500000000000000000000000000000000000000
Fri Oct 21 07:33:20 2022  R1: 1
Fri Oct 21 07:33:20 2022  A0: 155
Fri Oct 21 07:33:20 2022  A1: 0
Fri Oct 21 07:33:20 2022  A2: 0
Fri Oct 21 07:33:20 2022  A3: 0
Fri Oct 21 07:33:20 2022  A4: 0
Fri Oct 21 07:33:20 2022  A5: 44
Fri Oct 21 07:33:20 2022  skew 1.00, size 1.093e-13, alpha 0.506, combined = 2.109e-11 rroots = 1
Fri Oct 21 07:33:20 2022  
Fri Oct 21 07:33:20 2022  commencing linear algebra
Fri Oct 21 07:33:21 2022  matrix starts at (0, 0)
Fri Oct 21 07:33:21 2022  matrix is 1771349 x 1771526 (649.4 MB) with weight 191320862 (108.00/col)
Fri Oct 21 07:33:21 2022  sparse part has weight 150754410 (85.10/col)
Fri Oct 21 07:33:21 2022  saving the first 48 matrix rows for later
Fri Oct 21 07:33:21 2022  matrix includes 64 packed rows
Fri Oct 21 07:33:21 2022  matrix is 1771301 x 1771526 (618.8 MB) with weight 157814270 (89.08/col)
Fri Oct 21 07:33:21 2022  sparse part has weight 144507831 (81.57/col)
Fri Oct 21 07:33:21 2022  using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
Fri Oct 21 07:33:26 2022  commencing Lanczos iteration
Fri Oct 21 07:33:26 2022  memory use: 587.7 MB
Fri Oct 21 07:33:35 2022  
Fri Oct 21 07:33:35 2022  
Fri Oct 21 07:33:35 2022  Msieve v. 1.54 (SVN Unversioned directory)
Fri Oct 21 07:33:35 2022  random seeds: 726144ac e99bc669
Fri Oct 21 07:33:35 2022  factoring 4187645938193919605635311482988884044438633816409799245013571265429102077513190253419771847808013476071383637821864731629244727723790211661692143736910183418991419342877701636037 (178 digits)
Fri Oct 21 07:33:35 2022  no P-1/P+1/ECM available, skipping
Fri Oct 21 07:33:35 2022  commencing number field sieve (178-digit input)
Fri Oct 21 07:33:35 2022  R0: -500000000000000000000000000000000000000
Fri Oct 21 07:33:35 2022  R1: 1
Fri Oct 21 07:33:35 2022  A0: 155
Fri Oct 21 07:33:35 2022  A1: 0
Fri Oct 21 07:33:35 2022  A2: 0
Fri Oct 21 07:33:35 2022  A3: 0
Fri Oct 21 07:33:35 2022  A4: 0
Fri Oct 21 07:33:35 2022  A5: 44
Fri Oct 21 07:33:35 2022  skew 1.00, size 1.093e-13, alpha 0.506, combined = 2.109e-11 rroots = 1
Fri Oct 21 07:33:35 2022  
Fri Oct 21 07:33:35 2022  commencing relation filtering
Fri Oct 21 07:33:35 2022  estimated available RAM is 15947.9 MB
Fri Oct 21 07:33:35 2022  commencing duplicate removal, pass 1
Fri Oct 21 07:33:39 2022  error -9 reading relation 695872
Fri Oct 21 07:33:41 2022  error -5 reading relation 1042613
Fri Oct 21 07:33:51 2022  error -9 reading relation 2767527
Fri Oct 21 07:33:54 2022  error -9 reading relation 3343184
Fri Oct 21 07:33:55 2022  error -5 reading relation 3614781
Fri Oct 21 07:33:58 2022  error -9 reading relation 4151429
Fri Oct 21 07:34:01 2022  error -5 reading relation 4700087
Fri Oct 21 07:34:06 2022  error -5 reading relation 5553439
Fri Oct 21 07:34:08 2022  error -9 reading relation 5833946
Fri Oct 21 07:34:12 2022  error -11 reading relation 6676195
Fri Oct 21 07:34:14 2022  error -15 reading relation 6956681
Fri Oct 21 07:34:20 2022  error -15 reading relation 8075668
Fri Oct 21 07:34:22 2022  error -11 reading relation 8352737
Fri Oct 21 07:34:25 2022  error -5 reading relation 8903429
Fri Oct 21 07:34:29 2022  error -15 reading relation 9768792
Fri Oct 21 07:34:31 2022  error -15 reading relation 10061178
Fri Oct 21 07:34:34 2022  error -9 reading relation 10642862
Fri Oct 21 07:34:38 2022  error -5 reading relation 11224228
Fri Oct 21 07:34:39 2022  error -15 reading relation 11514051
Fri Oct 21 07:34:41 2022  error -15 reading relation 11802889
Fri Oct 21 07:34:42 2022  error -15 reading relation 12091972
Fri Oct 21 07:34:47 2022  error -5 reading relation 12951855
Fri Oct 21 07:34:50 2022  error -9 reading relation 13522851
Fri Oct 21 07:34:56 2022  skipped 2 relations with b > 2^32
Fri Oct 21 07:34:56 2022  skipped 22 relations with composite factors
Fri Oct 21 07:34:56 2022  found 1814394 hash collisions in 14188630 relations
Fri Oct 21 07:35:05 2022  added 1 free relations
Fri Oct 21 07:35:05 2022  commencing duplicate removal, pass 2
Fri Oct 21 07:35:08 2022  found 1413473 duplicates and 12775158 unique relations
Fri Oct 21 07:35:08 2022  memory use: 53.3 MB
Fri Oct 21 07:35:08 2022  reading ideals above 720000
Fri Oct 21 07:35:08 2022  commencing singleton removal, initial pass
Fri Oct 21 07:36:15 2022  memory use: 344.5 MB
Fri Oct 21 07:36:15 2022  reading all ideals from disk
Fri Oct 21 07:36:16 2022  memory use: 420.9 MB
Fri Oct 21 07:36:16 2022  commencing in-memory singleton removal
Fri Oct 21 07:36:17 2022  begin with 12775158 relations and 13046762 unique ideals
Fri Oct 21 07:36:24 2022  reduce to 7563324 relations and 7135467 ideals in 15 passes
Fri Oct 21 07:36:24 2022  max relations containing the same ideal: 111
Fri Oct 21 07:36:27 2022  removing 954972 relations and 808496 ideals in 146476 cliques
Fri Oct 21 07:36:27 2022  commencing in-memory singleton removal
Fri Oct 21 07:36:27 2022  begin with 6608352 relations and 7135467 unique ideals
Fri Oct 21 07:36:30 2022  reduce to 6506989 relations and 6223019 ideals in 8 passes
Fri Oct 21 07:36:30 2022  max relations containing the same ideal: 100
Fri Oct 21 07:36:32 2022  removing 724814 relations and 578338 ideals in 146476 cliques
Fri Oct 21 07:36:32 2022  commencing in-memory singleton removal
Fri Oct 21 07:36:33 2022  begin with 5782175 relations and 6223019 unique ideals
Fri Oct 21 07:36:35 2022  reduce to 5717423 relations and 5578439 ideals in 7 passes
Fri Oct 21 07:36:35 2022  max relations containing the same ideal: 94
Fri Oct 21 07:36:37 2022  relations with 0 large ideals: 2941
Fri Oct 21 07:36:37 2022  relations with 1 large ideals: 551
Fri Oct 21 07:36:37 2022  relations with 2 large ideals: 10224
Fri Oct 21 07:36:37 2022  relations with 3 large ideals: 81372
Fri Oct 21 07:36:37 2022  relations with 4 large ideals: 355484
Fri Oct 21 07:36:37 2022  relations with 5 large ideals: 920939
Fri Oct 21 07:36:37 2022  relations with 6 large ideals: 1548018
Fri Oct 21 07:36:37 2022  relations with 7+ large ideals: 2797894
Fri Oct 21 07:36:37 2022  commencing 2-way merge
Fri Oct 21 07:36:40 2022  reduce to 3754712 relation sets and 3615728 unique ideals
Fri Oct 21 07:36:40 2022  commencing full merge
Fri Oct 21 07:37:37 2022  memory use: 474.5 MB
Fri Oct 21 07:37:37 2022  found 1787192 cycles, need 1771928
Fri Oct 21 07:37:38 2022  weight of 1771928 cycles is about 159893165 (90.24/cycle)
Fri Oct 21 07:37:38 2022  distribution of cycle lengths:
Fri Oct 21 07:37:38 2022  1 relations: 154398
Fri Oct 21 07:37:38 2022  2 relations: 171625
Fri Oct 21 07:37:38 2022  3 relations: 175625
Fri Oct 21 07:37:38 2022  4 relations: 165752
Fri Oct 21 07:37:38 2022  5 relations: 152958
Fri Oct 21 07:37:38 2022  6 relations: 137986
Fri Oct 21 07:37:38 2022  7 relations: 124235
Fri Oct 21 07:37:38 2022  8 relations: 109700
Fri Oct 21 07:37:38 2022  9 relations: 96692
Fri Oct 21 07:37:38 2022  10+ relations: 482957
Fri Oct 21 07:37:38 2022  heaviest cycle: 27 relations
Fri Oct 21 07:37:38 2022  commencing cycle optimization
Fri Oct 21 07:37:40 2022  start with 12547789 relations
Fri Oct 21 07:37:57 2022  pruned 478439 relations
Fri Oct 21 07:37:57 2022  memory use: 362.4 MB
Fri Oct 21 07:37:57 2022  distribution of cycle lengths:
Fri Oct 21 07:37:57 2022  1 relations: 154398
Fri Oct 21 07:37:57 2022  2 relations: 176242
Fri Oct 21 07:37:57 2022  3 relations: 183803
Fri Oct 21 07:37:57 2022  4 relations: 171884
Fri Oct 21 07:37:57 2022  5 relations: 159335
Fri Oct 21 07:37:57 2022  6 relations: 142270
Fri Oct 21 07:37:57 2022  7 relations: 128035
Fri Oct 21 07:37:57 2022  8 relations: 111399
Fri Oct 21 07:37:57 2022  9 relations: 97486
Fri Oct 21 07:37:57 2022  10+ relations: 447076
Fri Oct 21 07:37:57 2022  heaviest cycle: 26 relations
Fri Oct 21 07:37:59 2022  RelProcTime: 264
Fri Oct 21 07:38:00 2022  
Fri Oct 21 07:38:00 2022  commencing linear algebra
Fri Oct 21 07:38:00 2022  read 1771928 cycles
Fri Oct 21 07:38:02 2022  cycles contain 5593939 unique relations
Fri Oct 21 07:38:22 2022  read 5593939 relations
Fri Oct 21 07:38:29 2022  using 20 quadratic characters above 4294917295
Fri Oct 21 07:38:49 2022  building initial matrix
Fri Oct 21 07:39:31 2022  memory use: 721.7 MB
Fri Oct 21 07:39:35 2022  read 1771928 cycles
Fri Oct 21 07:39:35 2022  matrix is 1771751 x 1771928 (649.5 MB) with weight 191338494 (107.98/col)
Fri Oct 21 07:39:35 2022  sparse part has weight 150761444 (85.08/col)
Fri Oct 21 07:39:46 2022  filtering completed in 2 passes
Fri Oct 21 07:39:46 2022  matrix is 1771339 x 1771516 (649.4 MB) with weight 191322209 (108.00/col)
Fri Oct 21 07:39:46 2022  sparse part has weight 150755450 (85.10/col)
Fri Oct 21 07:39:54 2022  matrix starts at (0, 0)
Fri Oct 21 07:39:54 2022  matrix is 1771339 x 1771516 (649.4 MB) with weight 191322209 (108.00/col)
Fri Oct 21 07:39:54 2022  sparse part has weight 150755450 (85.10/col)
Fri Oct 21 07:39:54 2022  saving the first 48 matrix rows for later
Fri Oct 21 07:39:55 2022  matrix includes 64 packed rows
Fri Oct 21 07:39:55 2022  matrix is 1771291 x 1771516 (618.8 MB) with weight 157815211 (89.08/col)
Fri Oct 21 07:39:55 2022  sparse part has weight 144509164 (81.57/col)
Fri Oct 21 07:39:55 2022  using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
Fri Oct 21 07:39:59 2022  commencing Lanczos iteration (16 threads)
Fri Oct 21 07:39:59 2022  memory use: 588.0 MB
Fri Oct 21 07:40:03 2022  linear algebra at 0.1%, ETA 1h17m
Fri Oct 21 07:40:04 2022  checkpointing every 1460000 dimensions
Fri Oct 21 08:40:08 2022  lanczos halted after 28009 iterations (dim = 1771289)
Fri Oct 21 08:40:10 2022  recovered 37 nontrivial dependencies
Fri Oct 21 08:40:10 2022  BLanczosTime: 3730
Fri Oct 21 08:40:10 2022  
Fri Oct 21 08:40:10 2022  commencing square root phase
Fri Oct 21 08:40:10 2022  reading relations for dependency 1
Fri Oct 21 08:40:10 2022  read 885399 cycles
Fri Oct 21 08:40:11 2022  cycles contain 2797108 unique relations
Fri Oct 21 08:40:21 2022  read 2797108 relations
Fri Oct 21 08:40:29 2022  multiplying 2797108 relations
Fri Oct 21 08:41:21 2022  multiply complete, coefficients have about 82.09 million bits
Fri Oct 21 08:41:21 2022  initial square root is modulo 780601
Fri Oct 21 08:42:25 2022  sqrtTime: 135
Fri Oct 21 08:42:25 2022  p61 factor: 2531016826729227157880662323631129910906415959908902316146911
Fri Oct 21 08:42:25 2022  p118 factor: 1654531054068698090690408681237027404800303442341177994722945690400217608871384718711715137561667947512852881500463067
Fri Oct 21 08:42:25 2022  elapsed time 01:08:50

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 17, 2022 11:07:55 UTC 2022 年 10 月 17 日 (月) 20 時 7 分 55 秒 (日本時間)

55×10196+629

c136

name 名前Eric Jeancolas
date 日付October 18, 2022 05:35:12 UTC 2022 年 10 月 18 日 (火) 14 時 35 分 12 秒 (日本時間)
composite number 合成数
3974207563555572244820774839125650095193665305896226649983648986437359749225380311018378479079184138120605414023583012749375743757019121<136>
prime factors 素因数
152507008441840427864401700691380328153174185356327753982309416717<66>
26059179864321861614211210836457224172544422201220771078258406729495413<71>
factorization results 素因数分解の結果
3974207563555572244820774839125650095193665305896226649983648986437359749225380311018378479079184138120605414023583012749375743757019121=152507008441840427864401700691380328153174185356327753982309416717*26059179864321861614211210836457224172544422201220771078258406729495413

cado polynomial
n: 3974207563555572244820774839125650095193665305896226649983648986437359749225380311018378479079184138120605414023583012749375743757019121
skew: 364575.999
c0: -76450277789906904429869224790422
c1: -3444284095102748607712355263
c2: -3868333831512961614342
c3: 26942663862352117
c4: -71226001190
c5: 21000
Y0: -287402910133893104097540552
Y1: 2968303220830373789
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.097e-07
# f(x) = 21000*x^5-71226001190*x^4+26942663862352117*x^3-3868333831512961614342*x^2-3444284095102748607712355263*x-76450277789906904429869224790422
# g(x) = 2968303220830373789*x-287402910133893104097540552

cado parameters (extracts)
tasks.lim0 = 3341873
tasks.lim1 = 16407032
tasks.lpb0 = 27
tasks.lpb1 = 28
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 62
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 152507008441840427864401700691380328153174185356327753982309416717 26059179864321861614211210836457224172544422201220771078258406729495413
Info:Square Root: Total cpu/real time for sqrt: 526.11/155.581
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 8086.8
Info:Polynomial Selection (root optimized): Rootsieve time: 8083.74
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 53991/40.470/48.727/53.000/0.958
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 43892/39.590/43.634/49.490/1.162
Info:Polynomial Selection (size optimized): Total time: 13876.4
Info:Generate Free Relations: Total cpu/real time for freerel: 248.75/63.2158
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 230.62/205.586
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 184.1s
Info:Quadratic Characters: Total cpu/real time for characters: 50.68/22.8686
Info:Square Root: Total cpu/real time for sqrt: 526.11/155.581
Info:Generate Factor Base: Total cpu/real time for makefb: 15.21/4.14865
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 79.43/83.8382
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 83.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 116.57/133.692
Info:Filtering - Merging: Merged matrix has 1474142 rows and total weight 250905327 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 396.4/110.723
Info:Filtering - Merging: Total cpu/real time for replay: 56.77/50.6678
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17198392
Info:Lattice Sieving: Average J: 3816.51 for 766381 special-q, max bucket fill -bkmult 1.0,1s:1.190730
Info:Lattice Sieving: Total time: 248256s
Info:Linear Algebra: Total cpu/real time for bwc: 34520.7/9022.09
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 21941.44, WCT time 5677.39, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (46336 iterations)
Info:Linear Algebra: Lingen CPU time 291.39, WCT time 74.38
Info:Linear Algebra: Mksol: CPU time 12027.19,  WCT time 3167.26, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (23040 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 537103/55723.6
Info:root: Cleaning up computation data in /tmp/cado.zznrb2qm
152507008441840427864401700691380328153174185356327753982309416717 26059179864321861614211210836457224172544422201220771078258406729495413
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 7, 2022 15:33:46 UTC 2022 年 10 月 8 日 (土) 0 時 33 分 46 秒 (日本時間)
4511e64480Ignacio SantosOctober 12, 2022 09:42:59 UTC 2022 年 10 月 12 日 (水) 18 時 42 分 59 秒 (日本時間)

55×10197+629

c173

name 名前Bob Backstrom
date 日付October 27, 2022 23:13:06 UTC 2022 年 10 月 28 日 (金) 8 時 13 分 6 秒 (日本時間)
composite number 合成数
72731532044422953781174477990756510112447544759581802911972528077277061733021749347421580787601766469163465071745173555713105311874789340262620946484174544436396375302837329<173>
prime factors 素因数
69035985577470206914097623575819442947915005075541066235024504698920559476792869<80>
1053530726562970704662158143788589811037783205450930512435145227323571462844475907380704401341<94>
factorization results 素因数分解の結果
Number: n
N=72731532044422953781174477990756510112447544759581802911972528077277061733021749347421580787601766469163465071745173555713105311874789340262620946484174544436396375302837329  ( 173 digits)
SNFS difficulty: 198 digits.
Divisors found:

Fri Oct 28 10:07:43 2022  p80 factor: 69035985577470206914097623575819442947915005075541066235024504698920559476792869
Fri Oct 28 10:07:43 2022  p94 factor: 1053530726562970704662158143788589811037783205450930512435145227323571462844475907380704401341
Fri Oct 28 10:07:43 2022  elapsed time 01:44:06 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 55x10^197+62 = 61(196)8
#
n: 72731532044422953781174477990756510112447544759581802911972528077277061733021749347421580787601766469163465071745173555713105311874789340262620946484174544436396375302837329
m: 1000000000000000000000000000000000000000
deg: 5
c5: 2750
c0: 31
skew: 0.41
# Murphy_E = 1.318e-11
type: snfs
lss: 1
rlim: 14200000
alim: 14200000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 14200000/14200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 34300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2265420 hash collisions in 14447191 relations (12844241 unique)
Msieve: matrix is 2207389 x 2207614 (774.3 MB)

Sieving start time : 2022/10/27 21:59:44
Sieving end time  : 2022/10/28 08:23:14

Total sieving time: 10hrs 23min 30secs.

Total relation processing time: 1hrs 35min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 26sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14200000,14200000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 24, 2022 13:12:42 UTC 2022 年 10 月 24 日 (月) 22 時 12 分 42 秒 (日本時間)

55×10198+629

c137

name 名前Ignacio Santos
date 日付October 20, 2022 15:10:56 UTC 2022 年 10 月 21 日 (金) 0 時 10 分 56 秒 (日本時間)
composite number 合成数
13342820421021653338496797886047498067646479249669869961418988733922912718736805040707685454699624078957388140701458196695025909442624887<137>
prime factors 素因数
81596779510289184137641120477618262534773657217899<50>
163521409804404736863084203837157339447640481411966362628419845638157951781269278827813<87>
factorization results 素因数分解の結果
10/20/22 09:12:30, nfs: commencing nfs on c137: 13342820421021653338496797886047498067646479249669869961418988733922912718736805040707685454699624078957388140701458196695025909442624887
10/20/22 09:12:31, nfs: commencing poly selection with 46 threads
10/20/22 09:12:31, nfs: setting deadline of 3093 seconds
10/20/22 09:12:31, nfs: expecting degree 5 poly E from 2.72e-11 to > 3.12e-11
10/20/22 09:12:31, nfs: searching for avg quality poly E > 2.81e-11
10/20/22 09:15:54, nfs: completed 56 ranges of size 250 in 203.3945 seconds
10/20/22 09:15:54, nfs: best poly = # norm 3.953684e-13 alpha -7.463791 e 3.220e-11 rroots 3
10/20/22 09:15:54, nfs: commencing lattice sieving with 46 threads
10/20/22 09:21:54, nfs: commencing lattice sieving with 46 threads
10/20/22 09:27:43, nfs: commencing lattice sieving with 46 threads
10/20/22 09:33:52, nfs: commencing lattice sieving with 46 threads
10/20/22 09:39:45, nfs: commencing lattice sieving with 46 threads
10/20/22 09:45:48, nfs: commencing lattice sieving with 46 threads
10/20/22 09:51:27, nfs: commencing lattice sieving with 46 threads
10/20/22 09:57:13, nfs: commencing lattice sieving with 46 threads
10/20/22 10:03:24, nfs: commencing lattice sieving with 46 threads
10/20/22 10:09:12, nfs: commencing lattice sieving with 46 threads
10/20/22 10:15:16, nfs: commencing lattice sieving with 46 threads
10/20/22 11:19:31, nfs: refusing to resume without -R option
10/20/22 11:19:41, nfs: refusing to resume without -R option
10/20/22 11:20:19, nfs: previous data file found - commencing search for last special-q
10/20/22 11:20:28, nfs: parsing special-q from .dat file
10/20/22 11:20:28, nfs: commencing nfs on c137: 13342820421021653338496797886047498067646479249669869961418988733922912718736805040707685454699624078957388140701458196695025909442624887
10/20/22 11:20:28, nfs: resuming with filtering
10/20/22 11:20:28, nfs: commencing lattice sieving with 46 threads
10/20/22 11:24:08, nfs: previous data file found - commencing search for last special-q
10/20/22 11:24:11, nfs: parsing special-q from .dat file
10/20/22 11:24:11, nfs: commencing nfs on c137: 13342820421021653338496797886047498067646479249669869961418988733922912718736805040707685454699624078957388140701458196695025909442624887
10/20/22 11:24:11, nfs: resuming with filtering
10/20/22 11:24:11, nfs: commencing lattice sieving with 46 threads
10/20/22 11:29:53, nfs: commencing lattice sieving with 46 threads
10/20/22 11:35:48, nfs: commencing lattice sieving with 46 threads
10/20/22 11:41:57, nfs: commencing lattice sieving with 46 threads
10/20/22 11:47:28, nfs: commencing lattice sieving with 46 threads
10/20/22 11:53:12, nfs: commencing lattice sieving with 46 threads
10/20/22 11:59:01, nfs: commencing lattice sieving with 46 threads
10/20/22 12:04:50, nfs: commencing lattice sieving with 46 threads
10/20/22 12:10:47, nfs: commencing lattice sieving with 46 threads
10/20/22 12:16:35, nfs: commencing lattice sieving with 46 threads
10/20/22 12:22:32, nfs: commencing lattice sieving with 46 threads
10/20/22 12:28:41, nfs: commencing lattice sieving with 46 threads
10/20/22 12:34:38, nfs: commencing lattice sieving with 46 threads
10/20/22 12:40:42, nfs: commencing lattice sieving with 46 threads
10/20/22 12:46:38, nfs: commencing lattice sieving with 46 threads
10/20/22 12:52:30, nfs: commencing lattice sieving with 46 threads
10/20/22 12:58:36, nfs: commencing lattice sieving with 46 threads
10/20/22 13:04:36, nfs: commencing lattice sieving with 46 threads
10/20/22 13:10:27, nfs: commencing lattice sieving with 46 threads
10/20/22 13:16:31, nfs: commencing lattice sieving with 46 threads
10/20/22 13:22:24, nfs: commencing lattice sieving with 46 threads
10/20/22 13:28:22, nfs: commencing lattice sieving with 46 threads
10/20/22 13:34:20, nfs: commencing lattice sieving with 46 threads
10/20/22 13:40:19, nfs: commencing lattice sieving with 46 threads
10/20/22 13:46:32, nfs: commencing lattice sieving with 46 threads
10/20/22 13:52:25, nfs: commencing lattice sieving with 46 threads
10/20/22 13:58:28, nfs: commencing lattice sieving with 46 threads
10/20/22 14:04:23, nfs: commencing lattice sieving with 46 threads
10/20/22 14:10:44, nfs: commencing lattice sieving with 46 threads
10/20/22 14:16:56, nfs: commencing lattice sieving with 46 threads
10/20/22 14:22:54, nfs: commencing lattice sieving with 46 threads
10/20/22 14:28:43, nfs: commencing lattice sieving with 46 threads
10/20/22 14:34:38, nfs: commencing lattice sieving with 46 threads
10/20/22 14:40:47, nfs: commencing lattice sieving with 46 threads
10/20/22 14:46:47, nfs: commencing lattice sieving with 46 threads
10/20/22 14:52:31, nfs: commencing lattice sieving with 46 threads
10/20/22 14:58:46, nfs: commencing lattice sieving with 46 threads
10/20/22 15:04:28, nfs: commencing lattice sieving with 46 threads
10/20/22 15:10:05, nfs: commencing lattice sieving with 46 threads
10/20/22 15:16:02, nfs: commencing lattice sieving with 46 threads
10/20/22 15:22:05, nfs: commencing lattice sieving with 46 threads
10/20/22 15:29:10, nfs: commencing lattice sieving with 46 threads
10/20/22 15:35:20, nfs: commencing lattice sieving with 46 threads
10/20/22 15:41:24, nfs: commencing lattice sieving with 46 threads
10/20/22 15:48:12, nfs: commencing lattice sieving with 46 threads
10/20/22 15:54:10, nfs: commencing lattice sieving with 46 threads
10/20/22 16:00:25, nfs: commencing lattice sieving with 46 threads
10/20/22 16:06:34, nfs: commencing msieve filtering
10/20/22 16:12:50, nfs: raising min_rels by 5.00 percent to 22241448
10/20/22 16:12:50, nfs: commencing lattice sieving with 46 threads
10/20/22 16:19:22, nfs: commencing lattice sieving with 46 threads
10/20/22 16:25:21, nfs: commencing lattice sieving with 46 threads
10/20/22 16:31:32, nfs: commencing msieve filtering
10/20/22 16:37:46, nfs: commencing msieve linear algebra
10/20/22 17:05:18, nfs: commencing msieve sqrt
10/20/22 17:08:43, prp50 = 81596779510289184137641120477618262534773657217899
10/20/22 17:08:43, prp87 = 163521409804404736863084203837157339447640481411966362628419845638157951781269278827813
10/20/22 17:08:44, NFS elapsed time = 20675.9535 seconds.
10/20/22 17:08:44, 
10/20/22 17:08:44, 
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 7, 2022 15:39:44 UTC 2022 年 10 月 8 日 (土) 0 時 39 分 44 秒 (日本時間)
4511e64480Ignacio SantosOctober 12, 2022 08:15:17 UTC 2022 年 10 月 12 日 (水) 17 時 15 分 17 秒 (日本時間)

55×10199+629

c161

name 名前Bob Backstrom
date 日付October 26, 2022 02:20:12 UTC 2022 年 10 月 26 日 (水) 11 時 20 分 12 秒 (日本時間)
composite number 合成数
13179494736502683642436998204270533223268161559441682336769843959663473202013051294425303276019583873903712275657210417471106424792911816330228258140411239881519<161>
prime factors 素因数
124810733836680695492481772780123249545162839<45>
427827344874287463587122799674573765892057603<45>
246818827544966455404224683581798877811397114805396522002077951874406307<72>
factorization results 素因数分解の結果
Number: n
N=105595843653547645884520094512100168375046667359629942092409726494098304488832854178182763130210781420968102270502121  ( 117 digits)
Divisors found:

Wed Oct 26 13:16:46 2022  p45 factor: 427827344874287463587122799674573765892057603
Wed Oct 26 13:16:46 2022  p72 factor: 246818827544966455404224683581798877811397114805396522002077951874406307
Wed Oct 26 13:16:46 2022  elapsed time 00:05:52 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 55x10^199+62 = 61(198)8
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 13179494736502683642436998204270533223268161559441682336769843959663473202013051294425303276019583873903712275657210417471106424792911816330228258140411239881519 (161 digits)
# Using B1=17490000, B2=58559766730, polynomial Dickson(12), sigma=1:1671223633
# Step 1 took 41399ms
# ********** Factor found in step 1: 124810733836680695492481772780123249545162839
# Found prime factor of 45 digits: 124810733836680695492481772780123249545162839
# Composite cofactor 105595843653547645884520094512100168375046667359629942092409726494098304488832854178182763130210781420968102270502121 has 117 digits
#

n: 105595843653547645884520094512100168375046667359629942092409726494098304488832854178182763130210781420968102270502121

Y0: -57511420878816035627769
Y1: 27834273144407
c0: -45559588960024454875735580680
c1: 1399150298235789528303850
c2: 36244935795054002811
c3: 42467366884646
c4: -345892220
c5: 168

# skew 301099.63, size 5.202e-11, alpha -7.017, combined = 5.554e-10 rroots = 5

skew: 301099.63

type: gnfs
rlim: 2600000
alim: 2600000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 675858 hash collisions in 6960470 relations (6572500 unique)
Msieve: matrix is 371117 x 371342 (128.5 MB)

Sieving start time : 2022/10/26 12:58:54
Sieving end time  : 2022/10/26 13:10:36

Total sieving time: 0hrs 11min 42secs.

Total relation processing time: 0hrs 3min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 55sec.

Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2600000,2600000,26,26,49,49,2.6,2.6,60000
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10200+629

c176

name 名前Bob Backstrom
date 日付November 11, 2022 16:56:37 UTC 2022 年 11 月 12 日 (土) 1 時 56 分 37 秒 (日本時間)
composite number 合成数
49602125465222926746384322339332873306621350623189430607673774305232436312132847818638178364084444719200290177804010755723862804712970346472988868594344437132572075971867404617<176>
prime factors 素因数
19513906374136011475935908215388118833706190940269943543667936095028346623456367<80>
2541886002433948189011253450416594583460954213190720753511165684604929743585645175727607832119751<97>
factorization results 素因数分解の結果
Number: n
N=49602125465222926746384322339332873306621350623189430607673774305232436312132847818638178364084444719200290177804010755723862804712970346472988868594344437132572075971867404617  ( 176 digits)
SNFS difficulty: 201 digits.
Divisors found:

Tue Nov  8 20:12:58 2022  p80 factor: 19513906374136011475935908215388118833706190940269943543667936095028346623456367
Tue Nov  8 20:12:58 2022  p97 factor: 2541886002433948189011253450416594583460954213190720753511165684604929743585645175727607832119751
Tue Nov  8 20:12:58 2022  elapsed time 02:09:27 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 55x10^200+62 = 61(199)8
#
n: 49602125465222926746384322339332873306621350623189430607673774305232436312132847818638178364084444719200290177804010755723862804712970346472988868594344437132572075971867404617
m: 10000000000000000000000000000000000000000
deg: 5
c5: 55
c0: 62
skew: 1.02
# Murphy_E = 1.048e-11
type: snfs
lss: 1
rlim: 16100000
alim: 16100000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16100000/16100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 42450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2549472 hash collisions in 15057238 relations (13129733 unique)
Msieve: matrix is 2433186 x 2433411 (849.5 MB)

Sieving start time : 2022/11/08 04:09:20
Sieving end time  : 2022/11/08 18:03:10

Total sieving time: 13hrs 53min 50secs.

Total relation processing time: 1hrs 57min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 13sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16100000,16100000,27,27,55,55,2.6,2.6,100000
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 3, 2022 13:03:24 UTC 2022 年 11 月 3 日 (木) 22 時 3 分 24 秒 (日本時間)

55×10201+629

c195

name 名前Bob Backstrom
date 日付June 27, 2023 12:03:50 UTC 2023 年 6 月 27 日 (火) 21 時 3 分 50 秒 (日本時間)
composite number 合成数
141463531594061332136562144304417667918536615219363820391089462149531366557108562781908847268671772821132260629262402304577763483273719829500332647636447119020846431248818811661992222890598828041<195>
prime factors 素因数
94041889669003406533860012483426297814859728364871444245905916295872159<71>
1504260836229116031301866067223101915404137561120075644399091091490383903586575501868667250210359684489871684959978114547799<124>
factorization results 素因数分解の結果
Number: n
N=141463531594061332136562144304417667918536615219363820391089462149531366557108562781908847268671772821132260629262402304577763483273719829500332647636447119020846431248818811661992222890598828041  ( 195 digits)
SNFS difficulty: 202 digits.
Divisors found:

Mon Jun 26 16:33:18 2023  prp71 factor: 94041889669003406533860012483426297814859728364871444245905916295872159
Mon Jun 26 16:33:18 2023  prp124 factor: 1504260836229116031301866067223101915404137561120075644399091091490383903586575501868667250210359684489871684959978114547799
Mon Jun 26 16:33:18 2023  elapsed time 02:31:27 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.100).
Factorization parameters were as follows:
#
# N = 55x10^201+62 = 61(200)8
#
n: 141463531594061332136562144304417667918536615219363820391089462149531366557108562781908847268671772821132260629262402304577763483273719829500332647636447119020846431248818811661992222890598828041
m: 10000000000000000000000000000000000000000
deg: 5
c5: 275
c0: 31
skew: 0.65
# Murphy_E = 1.253e-11
type: snfs
lss: 1
rlim: 16600000
alim: 16600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16600000/16600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2237937 hash collisions in 15644306 relations (14214316 unique)
Msieve: matrix is 2200296 x 2200521 (623.4 MB)

Sieving start time: 2023/06/25 20:59:54
Sieving end time  : 2023/06/26 14:01:35

Total sieving time: 17hrs 1min 41secs.

Total relation processing time: 2hrs 24min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 48sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16600000,16600000,27,27,56,56,2.6,2.6,100000
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10202+629

c192

name 名前Bob Backstrom
date 日付July 18, 2023 14:45:24 UTC 2023 年 7 月 18 日 (火) 23 時 45 分 24 秒 (日本時間)
composite number 合成数
442479276218129665681067652577604188426568082630700298688175854057613105484486153442198194525822680625566848890389364948103220508426512952351669021541768908362469027738138635857544792957146097<192>
prime factors 素因数
2574575352913086932932659433933861001696666640748695048726945013<64>
171864954629303085699698188309346937520407115199843229432958862801181078476334238026024725705330125761333952792066234665364995469<129>
factorization results 素因数分解の結果
Number: n
N=442479276218129665681067652577604188426568082630700298688175854057613105484486153442198194525822680625566848890389364948103220508426512952351669021541768908362469027738138635857544792957146097  ( 192 digits)
SNFS difficulty: 203 digits.
Divisors found:

Tue Jul 18 18:45:13 2023  prp64 factor: 2574575352913086932932659433933861001696666640748695048726945013
Tue Jul 18 18:45:13 2023  prp129 factor: 171864954629303085699698188309346937520407115199843229432958862801181078476334238026024725705330125761333952792066234665364995469
Tue Jul 18 18:45:13 2023  elapsed time 03:14:38 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.085).
Factorization parameters were as follows:
#
# N = 55x10^202+62 = 61(201)8
#
n: 442479276218129665681067652577604188426568082630700298688175854057613105484486153442198194525822680625566848890389364948103220508426512952351669021541768908362469027738138635857544792957146097
m: 10000000000000000000000000000000000000000
deg: 5
c5: 2750
c0: 31
skew: 0.41
# Murphy_E = 8.14e-12
type: snfs
lss: 1
rlim: 17200000
alim: 17200000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17200000/17200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 48600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3519047 hash collisions in 19030893 relations (15847045 unique)
Msieve: matrix is 2472779 x 2473004 (699.8 MB)

Sieving start time: 2023/07/17 18:25:05
Sieving end time  : 2023/07/18 15:30:10

Total sieving time: 21hrs 5min 5secs.

Total relation processing time: 3hrs 6min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 18sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17200000,17200000,27,27,56,56,2.6,2.6,100000
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 15, 2023 07:07:15 UTC 2023 年 7 月 15 日 (土) 16 時 7 分 15 秒 (日本時間)

55×10203+629

c166

name 名前Bob Backstrom
date 日付October 5, 2023 18:03:23 UTC 2023 年 10 月 6 日 (金) 3 時 3 分 23 秒 (日本時間)
composite number 合成数
1173504607102911978172992961812976331033825351653811651848483978411748428382767433446276997763087132757745499581945461009145178501137577281429807033093732984993923313<166>
prime factors 素因数
67718123600399436781075002623693833986233963711<47>
17329254632448056143188510210778222249751782087915764597519391637709660217192745454944038211365302512199898379834402383<119>
factorization results 素因数分解の結果
Number: n
N=1173504607102911978172992961812976331033825351653811651848483978411748428382767433446276997763087132757745499581945461009145178501137577281429807033093732984993923313
  ( 166 digits)
SNFS difficulty: 205 digits.
Divisors found:

Thu Oct  5 09:19:40 2023  prp47 factor: 67718123600399436781075002623693833986233963711
Thu Oct  5 09:19:40 2023  prp119 factor: 17329254632448056143188510210778222249751782087915764597519391637709660217192745454944038211365302512199898379834402383
Thu Oct  5 09:19:40 2023  elapsed time 03:23:01 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.101).
Factorization parameters were as follows:
#
# N = 55x10^203+62 = 61(202)8
#
n: 1173504607102911978172992961812976331033825351653811651848483978411748428382767433446276997763087132757745499581945461009145178501137577281429807033093732984993923313
m: 50000000000000000000000000000000000000000
deg: 5
c5: 44
c0: 155
skew: 1.29
# Murphy_E = 8.174e-12
type: snfs
lss: 1
rlim: 18400000
alim: 18400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18400000/18400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3201007 hash collisions in 18237339 relations (15420301 unique)
Msieve: matrix is 2475588 x 2475813 (700.7 MB)

Sieving start time: 2023/10/04 11:35:03
Sieving end time  : 2023/10/05 05:56:14

Total sieving time: 18hrs 21min 11secs.

Total relation processing time: 3hrs 12min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 49sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18400000,18400000,27,27,56,56,2.6,2.6,100000
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e60--
4511e60--
5043e60 / 5811--
5511e7720 / 17768Lionel DebrouxMarch 19, 2023 22:51:08 UTC 2023 年 3 月 20 日 (月) 7 時 51 分 8 秒 (日本時間)

55×10206+629

c194

name 名前Bob Backstrom
date 日付June 29, 2024 15:11:39 UTC 2024 年 6 月 30 日 (日) 0 時 11 分 39 秒 (日本時間)
composite number 合成数
51346464232959805800268772519509810694564505680327398974043684506703436799462510926527722508046699233416262851717959799333754162133023620130663603905997930482716492457353804996674647156465516121<194>
prime factors 素因数
42412025229363171336011357563096542910051343688087803300255885339<65>
1210658155447173575491838173269367962528017949144808740933417305849468596439847631894025019096268097459660477234781376241239786139<130>
factorization results 素因数分解の結果
Number: n
N=51346464232959805800268772519509810694564505680327398974043684506703436799462510926527722508046699233416262851717959799333754162133023620130663603905997930482716492457353804996674647156465516121  ( 194 digits)
SNFS difficulty: 207 digits.
Divisors found:

Sat Jun 29 14:44:26 2024  prp65 factor: 42412025229363171336011357563096542910051343688087803300255885339
Sat Jun 29 14:44:26 2024  prp130 factor: 1210658155447173575491838173269367962528017949144808740933417305849468596439847631894025019096268097459660477234781376241239786139
Sat Jun 29 14:44:26 2024  elapsed time 02:47:40 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.949).
Factorization parameters were as follows:
#
# N = 55x10^206+62 = 61(205)8
#
n: 51346464232959805800268772519509810694564505680327398974043684506703436799462510926527722508046699233416262851717959799333754162133023620130663603905997930482716492457353804996674647156465516121
m: 100000000000000000000000000000000000000000
deg: 5
c5: 275
c0: 31
skew: 0.65
# Murphy_E = 7.71e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 50000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 6590871 hash collisions in 25178829 relations (17797198 unique)
Msieve: matrix is 2275901 x 2276126 (638.9 MB)

Sieving start time: 2024/06/28 14:41:04
Sieving end time  : 2024/06/29 11:50:10

Total sieving time: 21hrs 9min 6secs.

Total relation processing time: 2hrs 35min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 38sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,27,27,56,56,2.6,2.6,100000
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62500cccMay 27, 2024 09:34:30 UTC 2024 年 5 月 27 日 (月) 18 時 34 分 30 秒 (日本時間)

55×10208+629

c193

composite cofactor 合成数の残り
9527791915271021317270222460995456563358694825384486837968637448637016117489602061714404646290983700660054778670329903720265004545697765309253804134716895908592730459133997631310524441619646487<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62500cccMay 27, 2024 09:34:57 UTC 2024 年 5 月 27 日 (月) 18 時 34 分 57 秒 (日本時間)

55×10212+629

c164

composite cofactor 合成数の残り
11278923303011237687718292762799859728403562702742059312534349143607694614470973025931568852794892914358007150123229560169948583805351039665912426223045732735166219<164>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62500cccMay 27, 2024 10:02:36 UTC 2024 年 5 月 27 日 (月) 19 時 2 分 36 秒 (日本時間)

55×10216+629

c147

name 名前Ignacio Santos
date 日付October 9, 2022 11:27:19 UTC 2022 年 10 月 9 日 (日) 20 時 27 分 19 秒 (日本時間)
composite number 合成数
394767698422906351118801496188877185517457530782791118125824611177233081056597250953612409711504504070818515542102847715381411884313995952602260549<147>
prime factors 素因数
8252788199076243692115361106204582530769<40>
47834463807891463735325317004276901603266080364626932244259651972476661506699279850101973540070809413837621<107>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3580748967
Step 1 took 21578ms
Step 2 took 10922ms
********** Factor found in step 2: 8252788199076243692115361106204582530769
Found prime factor of 40 digits: 8252788199076243692115361106204582530769
Prime cofactor 47834463807891463735325317004276901603266080364626932244259651972476661506699279850101973540070809413837621 has 107 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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 7, 2022 09:53:47 UTC 2022 年 10 月 7 日 (金) 18 時 53 分 47 秒 (日本時間)

55×10217+629

c213

composite cofactor 合成数の残り
113877718519954067939860969799214947713563167556362223903471448371362279807078721803359268466100259599788146033473423632152607737638987755453603939920600313639941843684403846002540094274186902737247662504539579961<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62500cccMay 29, 2024 03:20:18 UTC 2024 年 5 月 29 日 (水) 12 時 20 分 18 秒 (日本時間)

55×10218+629

c183

composite cofactor 合成数の残り
618596112752336370713620397279924340364552541522742466519088595175953271472725809087795027932461601775772959210041994946257578886082921900308283921955113153437054203544994118909976409<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62500cccMay 27, 2024 16:03:28 UTC 2024 年 5 月 28 日 (火) 1 時 3 分 28 秒 (日本時間)

55×10219+629

c201

composite cofactor 合成数の残り
209573469319177116492349160396199720154719071153617271009934670956379779005093270749632352942529479749945799947241727111148435710152424606234928894168848391370879948001110393374385447068782426759489401<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62500cccMay 29, 2024 03:20:33 UTC 2024 年 5 月 29 日 (水) 12 時 20 分 33 秒 (日本時間)

55×10221+629

c166

composite cofactor 合成数の残り
6394347172148002373388014989209280089650043702718840268856705473092595613343189844102386947739325850771867225668759933469151224090167032186337548376471390701003587683<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62500dddJune 4, 2024 07:39:07 UTC 2024 年 6 月 4 日 (火) 16 時 39 分 7 秒 (日本時間)

55×10222+629

c179

name 名前anonymous
date 日付May 30, 2024 01:39:33 UTC 2024 年 5 月 30 日 (木) 10 時 39 分 33 秒 (日本時間)
composite number 合成数
43009894368203642948914599907681326984888378011597884214445798745959482940131480122324227606220137271110555357020316016851354941617859168037878362148255335938165051707320151367163<179>
prime factors 素因数
527797887158025669363348230615850234213367777<45>
composite cofactor 合成数の残り
81489326529505862872317609485404886221364155861291563595290429893456179479286118805945090534455702232893397422632971530539515986512219<134>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:10544713267180547722
Step 1 took 21844ms
********** Factor found in step 2: 527797887158025669363348230615850234213367777
Found prime factor of 45 digits: 527797887158025669363348230615850234213367777
Composite cofactor 81489326529505862872317609485404886221364155861291563595290429893456179479286118805945090534455702232893397422632971530539515986512219 has 134 digits
software ソフトウェア
GMP-ECM 7.0.5

c134

name 名前anonymous
date 日付June 8, 2024 02:28:19 UTC 2024 年 6 月 8 日 (土) 11 時 28 分 19 秒 (日本時間)
composite number 合成数
81489326529505862872317609485404886221364155861291563595290429893456179479286118805945090534455702232893397422632971530539515986512219<134>
prime factors 素因数
66778435704403727452228174015584126848977903069741320198685349<62>
1220294031597568862272423681238948912585413986340441416502627305111493631<73>
factorization results 素因数分解の結果
Sat Jun 08 09:05:28 2024  
Sat Jun 08 09:05:28 2024  
Sat Jun 08 09:05:28 2024  Msieve v. 1.54 (SVN Unversioned directory)
Sat Jun 08 09:05:28 2024  random seeds: bcfb2b6c e3b89cbc
Sat Jun 08 09:05:28 2024  factoring 81489326529505862872317609485404886221364155861291563595290429893456179479286118805945090534455702232893397422632971530539515986512219 (134 digits)
Sat Jun 08 09:05:28 2024  searching for 15-digit factors
Sat Jun 08 09:05:28 2024  commencing number field sieve (134-digit input)
Sat Jun 08 09:05:28 2024  R0: -186619156612156500591666542
Sat Jun 08 09:05:28 2024  R1: 648424875140977
Sat Jun 08 09:05:28 2024  A0: -794296240797100256249867334605565
Sat Jun 08 09:05:28 2024  A1: 13275369695330273124078725998
Sat Jun 08 09:05:28 2024  A2: -25690250893026534083707
Sat Jun 08 09:05:28 2024  A3: -15525998416226382
Sat Jun 08 09:05:28 2024  A4: 4083456288
Sat Jun 08 09:05:28 2024  A5: 360
Sat Jun 08 09:05:28 2024  skew 2193846.87, size 6.683e-013, alpha -6.874, combined = 4.889e-011 rroots = 5
Sat Jun 08 09:05:28 2024  
Sat Jun 08 09:05:28 2024  commencing relation filtering
Sat Jun 08 09:05:28 2024  estimated available RAM is 15734.8 MB
Sat Jun 08 09:05:28 2024  commencing duplicate removal, pass 1
Sat Jun 08 09:07:45 2024  found 3220899 hash collisions in 22060708 relations
Sat Jun 08 09:08:08 2024  added 30 free relations
Sat Jun 08 09:08:08 2024  commencing duplicate removal, pass 2
Sat Jun 08 09:08:17 2024  found 2887882 duplicates and 19172856 unique relations
Sat Jun 08 09:08:17 2024  memory use: 98.6 MB
Sat Jun 08 09:08:17 2024  reading ideals above 720000
Sat Jun 08 09:08:18 2024  commencing singleton removal, initial pass
Sat Jun 08 09:10:05 2024  memory use: 689.0 MB
Sat Jun 08 09:10:05 2024  reading all ideals from disk
Sat Jun 08 09:10:05 2024  memory use: 599.8 MB
Sat Jun 08 09:10:07 2024  keeping 20953791 ideals with weight <= 200, target excess is 120735
Sat Jun 08 09:10:08 2024  commencing in-memory singleton removal
Sat Jun 08 09:10:09 2024  begin with 19172856 relations and 20953791 unique ideals
Sat Jun 08 09:10:17 2024  reduce to 7289983 relations and 7048401 ideals in 19 passes
Sat Jun 08 09:10:17 2024  max relations containing the same ideal: 103
Sat Jun 08 09:10:20 2024  removing 632230 relations and 581465 ideals in 50765 cliques
Sat Jun 08 09:10:20 2024  commencing in-memory singleton removal
Sat Jun 08 09:10:20 2024  begin with 6657753 relations and 7048401 unique ideals
Sat Jun 08 09:10:23 2024  reduce to 6611013 relations and 6419707 ideals in 9 passes
Sat Jun 08 09:10:23 2024  max relations containing the same ideal: 97
Sat Jun 08 09:10:26 2024  removing 459902 relations and 409137 ideals in 50765 cliques
Sat Jun 08 09:10:26 2024  commencing in-memory singleton removal
Sat Jun 08 09:10:26 2024  begin with 6151111 relations and 6419707 unique ideals
Sat Jun 08 09:10:28 2024  reduce to 6123472 relations and 5982689 ideals in 8 passes
Sat Jun 08 09:10:28 2024  max relations containing the same ideal: 93
Sat Jun 08 09:10:31 2024  relations with 0 large ideals: 452
Sat Jun 08 09:10:31 2024  relations with 1 large ideals: 1441
Sat Jun 08 09:10:31 2024  relations with 2 large ideals: 23849
Sat Jun 08 09:10:31 2024  relations with 3 large ideals: 171226
Sat Jun 08 09:10:31 2024  relations with 4 large ideals: 651274
Sat Jun 08 09:10:31 2024  relations with 5 large ideals: 1409480
Sat Jun 08 09:10:31 2024  relations with 6 large ideals: 1799530
Sat Jun 08 09:10:31 2024  relations with 7+ large ideals: 2066220
Sat Jun 08 09:10:31 2024  commencing 2-way merge
Sat Jun 08 09:10:35 2024  reduce to 3464902 relation sets and 3324120 unique ideals
Sat Jun 08 09:10:35 2024  ignored 2 oversize relation sets
Sat Jun 08 09:10:35 2024  commencing full merge
Sat Jun 08 09:11:32 2024  memory use: 392.8 MB
Sat Jun 08 09:11:32 2024  found 1590200 cycles, need 1586320
Sat Jun 08 09:11:32 2024  weight of 1586320 cycles is about 143134523 (90.23/cycle)
Sat Jun 08 09:11:32 2024  distribution of cycle lengths:
Sat Jun 08 09:11:32 2024  1 relations: 183757
Sat Jun 08 09:11:32 2024  2 relations: 157972
Sat Jun 08 09:11:32 2024  3 relations: 154120
Sat Jun 08 09:11:32 2024  4 relations: 137457
Sat Jun 08 09:11:32 2024  5 relations: 126881
Sat Jun 08 09:11:32 2024  6 relations: 111813
Sat Jun 08 09:11:32 2024  7 relations: 98731
Sat Jun 08 09:11:32 2024  8 relations: 85321
Sat Jun 08 09:11:32 2024  9 relations: 75635
Sat Jun 08 09:11:32 2024  10+ relations: 454633
Sat Jun 08 09:11:32 2024  heaviest cycle: 28 relations
Sat Jun 08 09:11:33 2024  commencing cycle optimization
Sat Jun 08 09:11:35 2024  start with 11626951 relations
Sat Jun 08 09:11:55 2024  pruned 313135 relations
Sat Jun 08 09:11:55 2024  memory use: 363.1 MB
Sat Jun 08 09:11:55 2024  distribution of cycle lengths:
Sat Jun 08 09:11:55 2024  1 relations: 183757
Sat Jun 08 09:11:55 2024  2 relations: 161748
Sat Jun 08 09:11:55 2024  3 relations: 159517
Sat Jun 08 09:11:55 2024  4 relations: 141137
Sat Jun 08 09:11:55 2024  5 relations: 129942
Sat Jun 08 09:11:55 2024  6 relations: 113804
Sat Jun 08 09:11:55 2024  7 relations: 100152
Sat Jun 08 09:11:55 2024  8 relations: 85799
Sat Jun 08 09:11:55 2024  9 relations: 75868
Sat Jun 08 09:11:55 2024  10+ relations: 434596
Sat Jun 08 09:11:55 2024  heaviest cycle: 28 relations
Sat Jun 08 09:11:57 2024  RelProcTime: 389
Sat Jun 08 09:11:57 2024  elapsed time 00:06:29
Sat Jun 08 09:11:57 2024  
Sat Jun 08 09:11:57 2024  
Sat Jun 08 09:11:57 2024  Msieve v. 1.54 (SVN Unversioned directory)
Sat Jun 08 09:11:57 2024  random seeds: e5877f98 91c0e552
Sat Jun 08 09:11:57 2024  factoring 81489326529505862872317609485404886221364155861291563595290429893456179479286118805945090534455702232893397422632971530539515986512219 (134 digits)
Sat Jun 08 09:11:57 2024  searching for 15-digit factors
Sat Jun 08 09:11:57 2024  commencing number field sieve (134-digit input)
Sat Jun 08 09:11:57 2024  R0: -186619156612156500591666542
Sat Jun 08 09:11:57 2024  R1: 648424875140977
Sat Jun 08 09:11:57 2024  A0: -794296240797100256249867334605565
Sat Jun 08 09:11:57 2024  A1: 13275369695330273124078725998
Sat Jun 08 09:11:57 2024  A2: -25690250893026534083707
Sat Jun 08 09:11:57 2024  A3: -15525998416226382
Sat Jun 08 09:11:57 2024  A4: 4083456288
Sat Jun 08 09:11:57 2024  A5: 360
Sat Jun 08 09:11:57 2024  skew 2193846.87, size 6.683e-013, alpha -6.874, combined = 4.889e-011 rroots = 5
Sat Jun 08 09:11:57 2024  
Sat Jun 08 09:11:57 2024  commencing linear algebra
Sat Jun 08 09:11:57 2024  read 1586320 cycles
Sat Jun 08 09:12:00 2024  cycles contain 5948000 unique relations
Sat Jun 08 09:12:25 2024  read 5948000 relations
Sat Jun 08 09:12:33 2024  using 20 quadratic characters above 4294917295
Sat Jun 08 09:12:51 2024  building initial matrix
Sat Jun 08 09:13:39 2024  memory use: 780.0 MB
Sat Jun 08 09:13:40 2024  read 1586320 cycles
Sat Jun 08 09:13:41 2024  matrix is 1586142 x 1586320 (591.5 MB) with weight 183936230 (115.95/col)
Sat Jun 08 09:13:41 2024  sparse part has weight 136031440 (85.75/col)
Sat Jun 08 09:13:52 2024  filtering completed in 2 passes
Sat Jun 08 09:13:52 2024  matrix is 1585552 x 1585730 (591.5 MB) with weight 183904227 (115.97/col)
Sat Jun 08 09:13:52 2024  sparse part has weight 136020718 (85.78/col)
Sat Jun 08 09:13:55 2024  matrix starts at (0, 0)
Sat Jun 08 09:13:55 2024  matrix is 1585552 x 1585730 (591.5 MB) with weight 183904227 (115.97/col)
Sat Jun 08 09:13:55 2024  sparse part has weight 136020718 (85.78/col)
Sat Jun 08 09:13:55 2024  saving the first 112 matrix rows for later
Sat Jun 08 09:13:56 2024  matrix includes 128 packed rows
Sat Jun 08 09:13:56 2024  matrix is 1585440 x 1585730 (536.8 MB) with weight 133387884 (84.12/col)
Sat Jun 08 09:13:56 2024  sparse part has weight 121684837 (76.74/col)
Sat Jun 08 09:13:56 2024  using block size 8192 and superblock size 393216 for processor cache size 8192 kB
Sat Jun 08 09:14:00 2024  commencing Lanczos iteration (10 threads)
Sat Jun 08 09:14:00 2024  memory use: 603.3 MB
Sat Jun 08 09:14:03 2024  linear algebra at 0.1%, ETA 0h34m
Sat Jun 08 09:14:04 2024  checkpointing every 2450000 dimensions
Sat Jun 08 10:05:02 2024  lanczos halted after 12463 iterations (dim = 1585438)
Sat Jun 08 10:05:05 2024  recovered 30 nontrivial dependencies
Sat Jun 08 10:05:05 2024  BLanczosTime: 3188
Sat Jun 08 10:05:05 2024  elapsed time 00:53:08
Sat Jun 08 10:05:05 2024  
Sat Jun 08 10:05:05 2024  
Sat Jun 08 10:05:05 2024  Msieve v. 1.54 (SVN Unversioned directory)
Sat Jun 08 10:05:05 2024  random seeds: 664a5f10 19d9305e
Sat Jun 08 10:05:05 2024  factoring 81489326529505862872317609485404886221364155861291563595290429893456179479286118805945090534455702232893397422632971530539515986512219 (134 digits)
Sat Jun 08 10:05:05 2024  searching for 15-digit factors
Sat Jun 08 10:05:06 2024  commencing number field sieve (134-digit input)
Sat Jun 08 10:05:06 2024  R0: -186619156612156500591666542
Sat Jun 08 10:05:06 2024  R1: 648424875140977
Sat Jun 08 10:05:06 2024  A0: -794296240797100256249867334605565
Sat Jun 08 10:05:06 2024  A1: 13275369695330273124078725998
Sat Jun 08 10:05:06 2024  A2: -25690250893026534083707
Sat Jun 08 10:05:06 2024  A3: -15525998416226382
Sat Jun 08 10:05:06 2024  A4: 4083456288
Sat Jun 08 10:05:06 2024  A5: 360
Sat Jun 08 10:05:06 2024  skew 2193846.87, size 6.683e-013, alpha -6.874, combined = 4.889e-011 rroots = 5
Sat Jun 08 10:05:06 2024  
Sat Jun 08 10:05:06 2024  commencing square root phase
Sat Jun 08 10:05:06 2024  reading relations for dependency 1
Sat Jun 08 10:05:06 2024  read 793183 cycles
Sat Jun 08 10:05:07 2024  cycles contain 2975074 unique relations
Sat Jun 08 10:05:21 2024  read 2975074 relations
Sat Jun 08 10:05:30 2024  multiplying 2975074 relations
Sat Jun 08 10:06:56 2024  multiply complete, coefficients have about 127.27 million bits
Sat Jun 08 10:06:57 2024  initial square root is modulo 1365078311
Sat Jun 08 10:08:40 2024  GCD is 1, no factor found
Sat Jun 08 10:08:40 2024  reading relations for dependency 2
Sat Jun 08 10:08:40 2024  read 793120 cycles
Sat Jun 08 10:08:41 2024  cycles contain 2974728 unique relations
Sat Jun 08 10:08:54 2024  read 2974728 relations
Sat Jun 08 10:09:03 2024  multiplying 2974728 relations
Sat Jun 08 10:10:28 2024  multiply complete, coefficients have about 127.26 million bits
Sat Jun 08 10:10:29 2024  initial square root is modulo 1362947863
Sat Jun 08 10:12:11 2024  GCD is N, no factor found
Sat Jun 08 10:12:11 2024  reading relations for dependency 3
Sat Jun 08 10:12:11 2024  read 793377 cycles
Sat Jun 08 10:12:12 2024  cycles contain 2976494 unique relations
Sat Jun 08 10:12:26 2024  read 2976494 relations
Sat Jun 08 10:12:34 2024  multiplying 2976494 relations
Sat Jun 08 10:14:00 2024  multiply complete, coefficients have about 127.34 million bits
Sat Jun 08 10:14:01 2024  initial square root is modulo 1380148379
Sat Jun 08 10:15:41 2024  sqrtTime: 635
Sat Jun 08 10:15:41 2024  p62 factor: 66778435704403727452228174015584126848977903069741320198685349
Sat Jun 08 10:15:41 2024  p73 factor: 1220294031597568862272423681238948912585413986340441416502627305111493631
Sat Jun 08 10:15:41 2024  elapsed time 00:10:36

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62437cccMay 30, 2024 01:39:07 UTC 2024 年 5 月 30 日 (木) 10 時 39 分 7 秒 (日本時間)
4511e64480dddJune 7, 2024 12:20:10 UTC 2024 年 6 月 7 日 (金) 21 時 20 分 10 秒 (日本時間)

55×10223+629

c186

composite cofactor 合成数の残り
133928720198117533352066935553300074113120108494762692509784851229629482363281086600940746058865563256415677381549306168292103783248827267131484776929857913107128192156485784486826479589<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62500cccMay 27, 2024 13:38:53 UTC 2024 年 5 月 27 日 (月) 22 時 38 分 53 秒 (日本時間)

55×10224+629

c204

name 名前Dmitry Domanov
date 日付October 18, 2022 20:55:20 UTC 2022 年 10 月 19 日 (水) 5 時 55 分 20 秒 (日本時間)
composite number 合成数
560257318922669048357401606411968545749316863096360670122322322761172788875735737308550950554828982580840394469204151242074429850476889452305776144052473873289666301935536540470194965008839785344296485383<204>
prime factors 素因数
14658823379481252929627933546533903<35>
475589857329764628107077112324814323<36>
80362944776833754874935115800302063735677907439241264124554664280530361002329530549346005009419790755754586773548242262754486289244307<134>
factorization results 素因数分解の結果
Resuming ECM residue saved by @3ef3835ca0ec with GMP-ECM 7.0.5-dev on Sun Oct 16 21:09:28 2022 
Input number is 560257318922669048357401606411968545749316863096360670122322322761172788875735737308550950554828982580840394469204151242074429850476889452305776144052473873289666301935536540470194965008839785344296485383 (204 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:267387155
Step 1 took 0ms
Step 2 took 3464ms
********** Factor found in step 2: 475589857329764628107077112324814323
Found prime factor of 36 digits: 475589857329764628107077112324814323
Composite cofactor 1178026213738611486164433181404796155970651599255084325210052536483391411732662334437051471060622585609568270529733383679959327988010075737118732432150170848109025240221 has 169 digits
---
Resuming ECM residue saved by @3ef3835ca0ec with GMP-ECM 7.0.5-dev on Sun Oct 16 21:09:28 2022 
Input number is 1178026213738611486164433181404796155970651599255084325210052536483391411732662334437051471060622585609568270529733383679959327988010075737118732432150170848109025240221 (169 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:267387422
Step 1 took 0ms
Step 2 took 153ms
********** Factor found in step 2: 14658823379481252929627933546533903
Found prime factor of 35 digits: 14658823379481252929627933546533903
Prime cofactor 80362944776833754874935115800302063735677907439241264124554664280530361002329530549346005009419790755754586773548242262754486289244307 has 134 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10227+629

c193

composite cofactor 合成数の残り
5564547656852799414556544020473161107766478257726458146322175308925358654933239155773220297781892200008928054894099321772437106640951550687512709878308825467962775194075276687321547172489889927<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62500cccMay 28, 2024 05:21:57 UTC 2024 年 5 月 28 日 (火) 14 時 21 分 57 秒 (日本時間)

55×10228+629

c226

composite cofactor 合成数の残り
1690954928365000307446350611818237717518293057861403185144192338436942753489516079444136998093832626206726926151386583041259300252106007501690954928365000307446350611818237717518293057861403185144192338436942753489516079444137<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62500cccMay 29, 2024 03:21:30 UTC 2024 年 5 月 29 日 (水) 12 時 21 分 30 秒 (日本時間)

55×10229+629

c210

composite cofactor 合成数の残り
160316953995491470514129794061177289184369960598482179373542914841957121514481737218665736030981835304239353592035623582812228051597234963413779911654379502245402069896941274771822556148910763879246057844807903<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62500cccMay 29, 2024 09:26:17 UTC 2024 年 5 月 29 日 (水) 18 時 26 分 17 秒 (日本時間)

55×10230+629

c202

composite cofactor 合成数の残り
2428709127810099139344893935723758076686836650929512364832781827290868575171064967488912372540597083515423298840502015235727365449494756695380979700150545823326683816353058624273424811153859020505397093<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62500cccMay 29, 2024 09:26:26 UTC 2024 年 5 月 29 日 (水) 18 時 26 分 26 秒 (日本時間)

55×10231+629

c228

composite cofactor 合成数の残り
158557187253155288026337790231724122025611310028309665069563362334884310910464197787118237535963652926965676693246616966195607677627292592784783122596417184139668701964379407169091150202664913889033031786391757332549195970917729<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62500cccMay 29, 2024 16:24:55 UTC 2024 年 5 月 30 日 (木) 1 時 24 分 55 秒 (日本時間)

55×10233+629

c213

composite cofactor 合成数の残り
137993165861654796191504312729664565562860262677873977211622910400906169158929915173224300285626750476250336197051318704498185121409782672659128850099493251566280391577182713659318739988039129764299185272936053233<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62500cccMay 29, 2024 16:24:35 UTC 2024 年 5 月 30 日 (木) 1 時 24 分 35 秒 (日本時間)

55×10234+629

c195

composite cofactor 合成数の残り
340008482921286726928813584217202278648551552644357855426678363864613449717274371834781318580094077267428218689716112547756155192687592279695876773624899595421706165055853594813134284143205184749<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62500cccMay 30, 2024 01:41:32 UTC 2024 年 5 月 30 日 (木) 10 時 41 分 32 秒 (日本時間)

55×10235+629

c174

composite cofactor 合成数の残り
143791586126915298685289358070341463369938656025474490462381117651819099545564704121056698258806993449709981937386043447225246816210438735830142261826787299915803712920924903<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62500cccMay 30, 2024 01:41:11 UTC 2024 年 5 月 30 日 (木) 10 時 41 分 11 秒 (日本時間)

55×10237+629

c122

name 名前ebina
date 日付October 7, 2022 03:10:07 UTC 2022 年 10 月 7 日 (金) 12 時 10 分 7 秒 (日本時間)
composite number 合成数
21445255573639481937793641816808221834477503451503334926311242114904234848783367016213770827707836206273934409535258142333<122>
prime factors 素因数
10840984642280286956829451078016328087478751<44>
1978164925167599744932067072362935069539885719302291895180504191655776999906083<79>
factorization results 素因数分解の結果
Number: 61118_237
N = 21445255573639481937793641816808221834477503451503334926311242114904234848783367016213770827707836206273934409535258142333 (122 digits)
Divisors found:
r1=10840984642280286956829451078016328087478751 (pp44)
r2=1978164925167599744932067072362935069539885719302291895180504191655776999906083 (pp79)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 3.93 hours.
Factorization parameters were as follows:
n: 21445255573639481937793641816808221834477503451503334926311242114904234848783367016213770827707836206273934409535258142333
# norm 1.087300e-11 alpha -6.070153 e 2.046e-10 rroots 1
skew: 531307.62
c0: 13899497551377378148318557754503
c1: -41343685462929916289868936
c2: -236693965566701556812
c3: 488544772515196
c4: 833509149
c5: 420
Y0: -551589829150405105709798
Y1: 440396483291
type: gnfs
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 11398542
Relations: 1343468 relations
Pruned matrix : 772858 x 773090
Total sieving time: 3.63 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.13 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: gnfs,121,5,65,2000,1e-05,0.28,250,20,50000,3600,4700000,4700000,27,27,53,53,2.5,2.5,100000
total time: 3.93 hours.
Intel64 Family 6 Model 158 Stepping 12, GenuineIntel
processors: 16, speed: 3.60GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10238+629

c236

composite cofactor 合成数の残り
60030561012879283999126828203449028596376337044313468674961798733900895001091464745688714254529578694608164156297751582623881248635669067889107181838026631739794804627810521720148439205413665138616022702466710325256494215236847849814451<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62500cccMay 30, 2024 01:40:59 UTC 2024 年 5 月 30 日 (木) 10 時 40 分 59 秒 (日本時間)

55×10239+629

c213

name 名前anonymous
date 日付June 22, 2024 03:22:50 UTC 2024 年 6 月 22 日 (土) 12 時 22 分 50 秒 (日本時間)
composite number 合成数
789690744452186388485269486330874449836448944781603719030320202082531606623914168654064585726989265609040685133343103918690723650567959566796721394014124831369733685338619844795922198867763197208890331242862907239<213>
prime factors 素因数
4789832021925643526829743426002614197729<40>
composite cofactor 合成数の残り
164868150038946272396078241879034739957614669890972859152222297290759838145816373809731949404415052670202079981559986694833997372944464351536978972665999320851718814473029191<174>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:2810695630027308178
Step 1 took 33172ms
Step 2 took 10563ms
********** Factor found in step 2: 4789832021925643526829743426002614197729
Found prime factor of 40 digits: 4789832021925643526829743426002614197729
Composite cofactor 164868150038946272396078241879034739957614669890972859152222297290759838145816373809731949404415052670202079981559986694833997372944464351536978972665999320851718814473029191 has 174 digits
software ソフトウェア
GMP-ECM 7.0.5

c174

name 名前anonymous
date 日付June 27, 2024 05:58:06 UTC 2024 年 6 月 27 日 (木) 14 時 58 分 6 秒 (日本時間)
composite number 合成数
164868150038946272396078241879034739957614669890972859152222297290759838145816373809731949404415052670202079981559986694833997372944464351536978972665999320851718814473029191<174>
prime factors 素因数
217674392689463948516379252810319390481729<42>
composite cofactor 合成数の残り
757407189710865579187332805133867268014761756615592969946025673007694348344973213359818695756550238418631835300047979004746249689479<132>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:377848923942030903
Step 1 took 22546ms
Step 2 took 7985ms
********** Factor found in step 2: 217674392689463948516379252810319390481729
Found prime factor of 42 digits: 217674392689463948516379252810319390481729
Composite cofactor 757407189710865579187332805133867268014761756615592969946025673007694348344973213359818695756550238418631835300047979004746249689479 has 132 digits
software ソフトウェア
GMP-ECM 7.0.5

c132

name 名前Bob Backstrom
date 日付June 28, 2024 17:09:33 UTC 2024 年 6 月 29 日 (土) 2 時 9 分 33 秒 (日本時間)
composite number 合成数
757407189710865579187332805133867268014761756615592969946025673007694348344973213359818695756550238418631835300047979004746249689479<132>
prime factors 素因数
5518272511185341772893671597560184817426515363101512290759001<61>
137254401295990401136910160762774095083560319422948794117946725824128479<72>
factorization results 素因数分解の結果
CADO:

STA:Fri Jun 28 03:06:34 PM AEST 2024 (757407189710865579187332805133867268014761756615592969946025673007694348344973213359818695756550238418631835300047979004746249689479 - C132)

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors 757407189710865579187332805133867268014761756615592969946025673007694348344973213359818695756550238418631835300047979004746249689479 2>&1 | tee -a log-48 

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py:93: DeprecationWarning: 'locale.getdefaultlocale' is deprecated and slated for removal in Python 3.15. Use setlocale(), getencoding() and getlocale() instead.
  loc = locale.getdefaultlocale()[1]
Info:root: Using default parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c130
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado._qky97g6
Info:Database: Opened connection to database /tmp/cado._qky97g6/c130.db
Info:root: Set tasks.threads=18 based on --server-threads 18
Info:root: tasks.threads = 18 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 18 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Downloads/Math/cado-nfs/build/VM9
Info:root: Command line parameters: /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors 757407189710865579187332805133867268014761756615592969946025673007694348344973213359818695756550238418631835300047979004746249689479
Info:root: If this computation gets interrupted, it can be resumed with /home/bob/Downloads/Math/cado-nfs/cado-nfs.py /tmp/cado._qky97g6/c130.parameters_snapshot.0
Info:Server Launcher: Adding VM9 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,VM9
Info:Lattice Sieving: param rels_wanted is 30000000
Info:Complete Factorization / Discrete logarithm: Factoring 757407189710865579187332805133867268014761756615592969946025673007694348344973213359818695756550238418631835300047979004746249689479
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 757407189710865579187332805133867268014761756615592969946025673007694348344973213359818695756550238418631835300047979004746249689479 
skew: 727173.601
c0: 3707247353695965819342492931925
c1: -12030662707760422827812948
c2: 5394189264474141280102
c3: 321257100739055
c4: -4116167004
c5: 1260
Y0: -47122164786516560053648896
Y1: 48582575285818011419
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.517e+13) = 1.313e-06
# f(x) = 1260*x^5-4116167004*x^4+321257100739055*x^3+5394189264474141280102*x^2-12030662707760422827812948*x+3707247353695965819342492931925
# g(x) = 48582575285818011419*x-47122164786516560053648896
Info:Polynomial Selection (root optimized): Best overall polynomial was 18-th in list after size optimization
===
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 5518272511185341772893671597560184817426515363101512290759001 137254401295990401136910160762774095083560319422948794117946725824128479
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 1018.09/125.261
Info:HTTP server: Got notification to stop serving Workunits
Info:Generate Free Relations: Total cpu/real time for freerel: 528.15/66.3985
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 672.44/762.997
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 527.9000000000001s
Info:Filtering - Merging: Total cpu/real time for merge: 70.86/13.0056
Info:Filtering - Merging: Total cpu/real time for replay: 18.48/16.0584
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 55661.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38784/39.680/48.916/59.880/2.310
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 32533/38.450/42.762/54.560/1.600
Info:Polynomial Selection (size optimized): Total time: 9296.35
Info:Filtering - Singleton removal: Total cpu/real time for purge: 401.13/465.126
Info:Generate Factor Base: Total cpu/real time for makefb: 11.32/2.15891
Info:Square Root: Total cpu/real time for sqrt: 1018.09/125.261
Info:Lattice Sieving: Aggregate statistics: 
Info:Lattice Sieving: Total number of relations: 37767205
Info:Lattice Sieving: Average J: 4033.91 for 374202 special-q, max bucket fill -bkmult 1.0,1s:1.243690
Info:Lattice Sieving: Total time: 209513s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1236.12
Info:Polynomial Selection (root optimized): Rootsieve time: 1235.31
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 159.92/153.956
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 152.5s
Info:Linear Algebra: Total cpu/real time for bwc: 11567.5/1664.31
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6772.86, WCT time 946.68, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (39000 iterations)
Info:Linear Algebra: Lingen CPU time 46.63, WCT time 47.13
Info:Linear Algebra: Mksol: CPU time 3814.62,  WCT time 543.62, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (21000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 32.68/8.5334
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 222277/26953.4 [07:29:13]
Info:root: Cleaning up computation data in /tmp/cado._qky97g6
5518272511185341772893671597560184817426515363101512290759001 137254401295990401136910160762774095083560319422948794117946725824128479

END:Fri Jun 28 10:35:53 PM AEST 2024 (757407189710865579187332805133867268014761756615592969946025673007694348344973213359818695756550238418631835300047979004746249689479 - C132)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e64195cccJune 27, 2024 05:57:10 UTC 2024 年 6 月 27 日 (木) 14 時 57 分 10 秒 (日本時間)

55×10240+629

c204

name 名前anonymous
date 日付May 30, 2024 07:39:52 UTC 2024 年 5 月 30 日 (木) 16 時 39 分 52 秒 (日本時間)
composite number 合成数
630625540711425800360864874137513451342800803021269837666292304786859908799246622339860804797650710794937965292916338396403267491111008574897123175123231804710995224828960516609485147844644158370618635231<204>
prime factors 素因数
110375166951295485203208641082479589717023<42>
5713473040450282920981167738621855199660266480263005814199518117351329743504723835961060937598651243307508368066056756830308859800256935195291204579210697851308097<163>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:184053418470495627
Step 1 took 21813ms
********** Factor found in step 1: 110375166951295485203208641082479589717023
Found prime factor of 42 digits: 110375166951295485203208641082479589717023
Prime cofactor 5713473040450282920981167738621855199660266480263005814199518117351329743504723835961060937598651243307508368066056756830308859800256935195291204579210697851308097 has 163 digits
software ソフトウェア
GMP-ECM 7.0.5

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10241+629

c200

composite cofactor 合成数の残り
13173835837973175540791958892725996546719384543195303087916828941778082135035263642165923715775332346898705274696218444401049765523451390989251965930541674381417297302962668336540624493217971566702139<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10245+629

c241

composite cofactor 合成数の残り
2182524093081874812005311073174874147724341651527885911926025925211645313644585078360551392886876204852505021789526900204681077674842005096788991189745470072039167974197009703898940404393936868704906076067710627463772084167652770734177295559<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10246+629

c219

composite cofactor 合成数の残り
117934507063299726302288689154703899510831757187942895118301340222663140003222775474125053106057502411334613329277917320059655466228548805409542546758047192559570188723828488776056151296856819434871849539425102492447097<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10247+629

c202

composite cofactor 合成数の残り
1013957066529817620960382502301564862225186564534008195889986213998922874798947891821374065288780172387042976997022793347290396968771776143775262601109702486868068823942599887548923097189372541490902163<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10248+629

c240

composite cofactor 合成数の残り
269240304069241552306453443356725070955827155403325207847956152995012493624895037120271844842739576185960899103761853754629865936949232947135697143699528493465769905381615211740463092600456024913238861369254871859269105014928480493302108613<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10251+629

c177

composite cofactor 合成数の残り
410207781885913178796877985515346339220173165804008073611337485614937337655456906782015446020834440534320350922963657342912682685027421112847697597497467116776238000517129039003<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10253+629

c254

composite cofactor 合成数の残り
30555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10254+629

c232

composite cofactor 合成数の残り
6044409416631283783144219815570595369523188584793853095316279763843114727900121515231172761590432948401578312489600006592377607894233012813468175018129298470758012986153888327614021506972427922172163597957199134821312971181197123689<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10256+629

c238

composite cofactor 合成数の残り
1324076399101917066822226225614551195152678727172150839442910584849701199295111682541011871624179319686330641487989279495589530280729627075666162367156782369831083161339027186295422191352376097586544944185313020226903952394727229626015433<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10258+629

c258

name 名前Dmitry Domanov
date 日付October 19, 2022 06:21:42 UTC 2022 年 10 月 19 日 (水) 15 時 21 分 42 秒 (日本時間)
composite number 合成数
235042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735043<258>
prime factors 素因数
1683836260057719763118319531360180761<37>
139587643180149878133898822945896208917186364016594549055355597829519439090766075992388904251220536910987896673086833101491089997990546943735415790602982395439684563301777835931640263226801638014803465298939307673060911163<222>
factorization results 素因数分解の結果
Resuming ECM residue saved by @3ef3835ca0ec with GMP-ECM 7.0.5-dev on Sun Oct 16 20:28:01 2022 
Input number is 235042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735043 (258 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2486974648
Step 1 took 0ms
Step 2 took 4666ms
********** Factor found in step 2: 1683836260057719763118319531360180761
Found prime factor of 37 digits: 1683836260057719763118319531360180761
Prime cofactor 139587643180149878133898822945896208917186364016594549055355597829519439090766075992388904251220536910987896673086833101491089997990546943735415790602982395439684563301777835931640263226801638014803465298939307673060911163 has 222 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10259+629

c214

composite cofactor 合成数の残り
1764157081991975595413996609454025511565249920030980686293462731828544499746469876745964309726205967209967804133525598724641973183499581108924856915587454806857719813814501403393529203286467634535467462242043145547<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10260+629

c247

name 名前Dmitry Domanov
date 日付October 17, 2022 00:03:49 UTC 2022 年 10 月 17 日 (月) 9 時 3 分 49 秒 (日本時間)
composite number 合成数
7377483653506402219511911126455464419682219839456741423338668008993739534561675164072112430159530026532249871298136522863496161476193187985339924031844596878910751982930525262091664746763863524903294763441273133151440384600986297403569397242526799<247>
prime factors 素因数
730925102472541164595552640591779<33>
composite cofactor 合成数の残り
10093351054095934384447600285144293969763022331459466749716258215539422176790454674927291964839839556210529487395027176525895326164823720945856487663545503537797466870201468967863290003993591878141004909017904321381<215>
factorization results 素因数分解の結果
GPU: factor 730925102472541164595552640591779 found in Step 1 with curve 197 (-sigma 3:1176015771)
GPU: factor 730925102472541164595552640591779 found in Step 1 with curve 736 (-sigma 3:1176016310)
GPU: factor 730925102472541164595552640591779 found in Step 1 with curve 1075 (-sigma 3:1176016649)
Computing 1792 Step 1 took 257ms of CPU time / 267714ms of GPU time
Throughput: 6.694 curves per second (on average 149.39ms per Step 1)
********** Factor found in step 1: 730925102472541164595552640591779
Found prime factor of 33 digits: 730925102472541164595552640591779
Composite cofactor 10093351054095934384447600285144293969763022331459466749716258215539422176790454674927291964839839556210529487395027176525895326164823720945856487663545503537797466870201468967863290003993591878141004909017904321381 has 215 digits
Peak memory usage: 9428MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 17, 2022 00:03:42 UTC 2022 年 10 月 17 日 (月) 9 時 3 分 42 秒 (日本時間)

55×10261+629

c238

composite cofactor 合成数の残り
1421422879229392531034651092350948639489305164552223149657716123949371588823001319763727899572561167781472431320287695775437785258681308090910619310343152503639298357120768128228937476285719047126858517738025031872551156515009346826091709<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10263+629

c180

composite cofactor 合成数の残り
257811453017379980251694429498981153612169369692504592049818090672972753398153531519118947905484730142828027425718606899182736384894271142348683765325527392025408311376965489725899<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 7, 2022 13:06:30 UTC 2022 年 10 月 7 日 (金) 22 時 6 分 30 秒 (日本時間)
4511e64480Ignacio SantosOctober 12, 2022 15:12:24 UTC 2022 年 10 月 13 日 (木) 0 時 12 分 24 秒 (日本時間)
5043e61792 / 6452Dmitry DomanovApril 27, 2024 21:07:55 UTC 2024 年 4 月 28 日 (日) 6 時 7 分 55 秒 (日本時間)

55×10264+629

c234

name 名前Dmitry Domanov
date 日付October 19, 2022 07:34:15 UTC 2022 年 10 月 19 日 (水) 16 時 34 分 15 秒 (日本時間)
composite number 合成数
199918456229833645798165987732222364452670671685378333347322601033628938865616524436971687192256849383722797133030611590580141100871047886385270268015890383501531478899309990006539313144192879663838391306334952742966263412942029093909<234>
prime factors 素因数
5971784552509995563804866984701515043229<40>
33477171601210243526015016882813348995610062227743542268591445259771056957792153353051486160099962194180525792563872571027104488169905975783757026803248003733397557266048649791105629324829320921<194>
factorization results 素因数分解の結果
Resuming ECM residue saved by @3ef3835ca0ec with GMP-ECM 7.0.5-dev on Sun Oct 16 20:35:27 2022 
Input number is 199918456229833645798165987732222364452670671685378333347322601033628938865616524436971687192256849383722797133030611590580141100871047886385270268015890383501531478899309990006539313144192879663838391306334952742966263412942029093909 (234 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:695477088
Step 1 took 0ms
Step 2 took 4188ms
********** Factor found in step 2: 5971784552509995563804866984701515043229
Found prime factor of 40 digits: 5971784552509995563804866984701515043229
Prime cofactor 33477171601210243526015016882813348995610062227743542268591445259771056957792153353051486160099962194180525792563872571027104488169905975783757026803248003733397557266048649791105629324829320921 has 194 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10266+629

c258

composite cofactor 合成数の残り
813680680644350937858397768536300326258465325573140553171306945712059084077536853467272819006952715896910791851986177217451460011404199276928255350802694793125922523971382734475255700211677372119878220714679631474717146864566282663916802330389043992848175257<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10267+629

c246

name 名前Dmitry Domanov
date 日付October 18, 2022 20:54:41 UTC 2022 年 10 月 19 日 (水) 5 時 54 分 41 秒 (日本時間)
composite number 合成数
474131269407535482528132755071114853024432679355467618667194170845438901102524697629866760082040383914818814303363812966725468545338614529942801770416353828288742427465262716338881727075180626280449474716354002074732514182890891263802397927247667<246>
prime factors 素因数
3427572126818041848726710823669870496451<40>
composite cofactor 合成数の残り
138328604582186083253244162213065235974990647479788194698970850510689670012180330766183465360080076014614232343740276058997082378230985757005180207072017420380282296667386717885354061185945153657067217208017<207>
factorization results 素因数分解の結果
Resuming ECM residue saved by @3ef3835ca0ec with GMP-ECM 7.0.5-dev on Sun Oct 16 20:59:09 2022 
Input number is 474131269407535482528132755071114853024432679355467618667194170845438901102524697629866760082040383914818814303363812966725468545338614529942801770416353828288742427465262716338881727075180626280449474716354002074732514182890891263802397927247667 (246 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3757389554
Step 1 took 0ms
Step 2 took 5875ms
********** Factor found in step 2: 3427572126818041848726710823669870496451
Found prime factor of 40 digits: 3427572126818041848726710823669870496451
Composite cofactor 138328604582186083253244162213065235974990647479788194698970850510689670012180330766183465360080076014614232343740276058997082378230985757005180207072017420380282296667386717885354061185945153657067217208017 has 207 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 18, 2022 20:54:32 UTC 2022 年 10 月 19 日 (水) 5 時 54 分 32 秒 (日本時間)

55×10268+629

c225

composite cofactor 合成数の残り
297659611271300343786985989029894963336316503046578528652457480402777192725998439380441277146504024655460286527111220700522356076021619069839746347886977873495108450539967138341845049050271950260120261257259841729392864860739<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10269+629

c245

composite cofactor 合成数の残り
17339748930536287369305664883221011430416763850381202378071806040671940392070030565612687912521225769862987437090074037371185772066760682850791974007460993292590146332173086604236572556545487137606738492938371060033431243598770119604141373164173<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10270+629

c246

composite cofactor 合成数の残り
816356057227979591717294422095233538412715414164798344838346405240477713799276639224407374788747765597510480317175863033848538680261674234439637066785744788193979724240965833895563767878508200054805609283830841942041513902086970913680697915034731<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10271+629

c201

name 名前Dmitry Domanov
date 日付October 20, 2022 05:30:10 UTC 2022 年 10 月 20 日 (木) 14 時 30 分 10 秒 (日本時間)
composite number 合成数
765423832082804949037750502722934560444337436645235116066375446842703027475839817069453050762411133375878535473915413467259591256304451068340071494791615174101971711511165381496581934852613217340955659<201>
prime factors 素因数
9960936305555390037086235338430858599<37>
composite cofactor 合成数の残り
76842558631352211778818576072964550808621255156298552095114546344957921350243820390847722248374725403311740918282909282194470751799637855673139701254193318836586941<164>
factorization results 素因数分解の結果
Resuming ECM residue saved by @3ef3835ca0ec with GMP-ECM 7.0.5-dev on Sun Oct 16 19:46:30 2022 
Input number is 765423832082804949037750502722934560444337436645235116066375446842703027475839817069453050762411133375878535473915413467259591256304451068340071494791615174101971711511165381496581934852613217340955659 (201 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2918330907
Step 1 took 0ms
Step 2 took 2603ms
********** Factor found in step 2: 9960936305555390037086235338430858599
Found prime factor of 37 digits: 9960936305555390037086235338430858599
Composite cofactor 76842558631352211778818576072964550808621255156298552095114546344957921350243820390847722248374725403311740918282909282194470751799637855673139701254193318836586941 has 164 digits

c164

name 名前Ignacio Santos
date 日付October 21, 2022 10:04:07 UTC 2022 年 10 月 21 日 (金) 19 時 4 分 7 秒 (日本時間)
composite number 合成数
76842558631352211778818576072964550808621255156298552095114546344957921350243820390847722248374725403311740918282909282194470751799637855673139701254193318836586941<164>
prime factors 素因数
676628838750676734865585487606648209387<39>
composite cofactor 合成数の残り
113566780235429859113525666048453813408704126937910445336208349453566010503414128924445056859530369641305784477226919408605943<126>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:977700376
Step 1 took 6344ms
Step 2 took 3031ms
********** Factor found in step 2: 676628838750676734865585487606648209387
Found prime factor of 39 digits: 676628838750676734865585487606648209387
Composite cofactor 113566780235429859113525666048453813408704126937910445336208349453566010503414128924445056859530369641305784477226919408605943 has 126 digits
 
software ソフトウェア
GMP-ECM

c126

name 名前Eric Jeancolas
date 日付October 23, 2022 06:48:22 UTC 2022 年 10 月 23 日 (日) 15 時 48 分 22 秒 (日本時間)
composite number 合成数
113566780235429859113525666048453813408704126937910445336208349453566010503414128924445056859530369641305784477226919408605943<126>
prime factors 素因数
1914949133270899462021037053534723391707148433777141815153<58>
59305376974399279981399956558531628396952400809933455336749386675431<68>
factorization results 素因数分解の結果
113566780235429859113525666048453813408704126937910445336208349453566010503414128924445056859530369641305784477226919408605943=1914949133270899462021037053534723391707148433777141815153*59305376974399279981399956558531628396952400809933455336749386675431

cado polynomial
n: 113566780235429859113525666048453813408704126937910445336208349453566010503414128924445056859530369641305784477226919408605943
skew: 48659.221
c0: -3651301516381811842945483781
c1: 1023921867259374333779716
c2: -14324815484403698086
c3: -962713399935964
c4: -181027005
c5: 63720
Y0: -1398369481428775675576160
Y1: 13871486987340191
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.525e-07
# f(x) = 63720*x^5-181027005*x^4-962713399935964*x^3-14324815484403698086*x^2+1023921867259374333779716*x-3651301516381811842945483781
# g(x) = 13871486987340191*x-1398369481428775675576160

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

cado log (extracts)
Info:Square Root: Factors: 1914949133270899462021037053534723391707148433777141815153 59305376974399279981399956558531628396952400809933455336749386675431
Info:Square Root: Total cpu/real time for sqrt: 524.72/154.664
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 160.11/146.541
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 124.39999999999999s
Info:Square Root: Total cpu/real time for sqrt: 524.72/154.664
Info:Generate Factor Base: Total cpu/real time for makefb: 8.56/2.3671
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 51.77/54.1027
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 53.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 99.24/99.3585
Info:Filtering - Merging: Merged matrix has 792055 rows and total weight 134674865 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 162.52/46.6031
Info:Filtering - Merging: Total cpu/real time for replay: 29.33/24.5869
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12102200
Info:Lattice Sieving: Average J: 3793.12 for 228402 special-q, max bucket fill -bkmult 1.0,1s:1.150470
Info:Lattice Sieving: Total time: 86843s
Info:Linear Algebra: Total cpu/real time for bwc: 9341.77/2410.91
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5863.67, WCT time 1502.15, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24832 iterations)
Info:Linear Algebra: Lingen CPU time 147.22, WCT time 37.4
Info:Linear Algebra: Mksol: CPU time 3207.72,  WCT time 820.46, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2452.82
Info:Polynomial Selection (root optimized): Rootsieve time: 2450.42
Info:Quadratic Characters: Total cpu/real time for characters: 29.63/13.3018
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 19963/37.400/44.562/47.860/0.864
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15856/36.210/39.934/45.340/0.973
Info:Polynomial Selection (size optimized): Total time: 1963.6
Info:Generate Free Relations: Total cpu/real time for freerel: 126.51/32.8772
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 182765/15269.4
Info:root: Cleaning up computation data in /tmp/cado.y466eyhb
1914949133270899462021037053534723391707148433777141815153 59305376974399279981399956558531628396952400809933455336749386675431
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
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 05:30:05 UTC 2022 年 10 月 20 日 (木) 14 時 30 分 5 秒 (日本時間)

55×10272+629

c203

composite cofactor 合成数の残り
25761240472876403882488917942202862618414534734452126317518373785810994807067704864289936486744093879111476536492805089266998845782780446195677066145856258771454220356825671469332749921167918570481145371<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10273+629

c239

composite cofactor 合成数の残り
12406860237922398686298909603417607257259049490244228809850050696102471520957505527247257859045638965450150631977680439550086038648974288118098388130488723656613086992383300859263519950337551564267212612500466020017763980722683065223153219<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10274+629

c242

name 名前Dmitry Domanov
date 日付October 17, 2022 00:04:28 UTC 2022 年 10 月 17 日 (月) 9 時 4 分 28 秒 (日本時間)
composite number 合成数
24717689848480997974233124283183387292393293339194782623537104032733631817108773037758447590416015164621540805555307607762335662371737132211518260254308195574933722939914015680990391800538502582311459281377368556343368465248745229506966260017<242>
prime factors 素因数
113810119882018669708358032450417<33>
composite cofactor 合成数の残り
217183585028331454649055857604301120052301008455463159722129498031383793940816903905421244728187009161501129340003852741359235043130226534497254837652809601247747778438585415003893308323987328396942208835428801<210>
factorization results 素因数分解の結果
Resuming ECM residue saved by @3ef3835ca0ec with GMP-ECM 7.0.5-dev on Sun Oct 16 22:41:04 2022 
Input number is 24717689848480997974233124283183387292393293339194782623537104032733631817108773037758447590416015164621540805555307607762335662371737132211518260254308195574933722939914015680990391800538502582311459281377368556343368465248745229506966260017 (242 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:244774500
Step 1 took 0ms
Step 2 took 8711ms
********** Factor found in step 2: 113810119882018669708358032450417
Found prime factor of 33 digits: 113810119882018669708358032450417
Composite cofactor 217183585028331454649055857604301120052301008455463159722129498031383793940816903905421244728187009161501129340003852741359235043130226534497254837652809601247747778438585415003893308323987328396942208835428801 has 210 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 17, 2022 00:04:21 UTC 2022 年 10 月 17 日 (月) 9 時 4 分 21 秒 (日本時間)

55×10275+629

c244

composite cofactor 合成数の残り
4655580850384168418108254414465506229499891504380050625412248908907840920995156569452824130005762124920731632621852055066836975283246865293061230666239070238955834177734657039198064745293635327098020854707541766546507263853327853910259163802761<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10278+629

c262

composite cofactor 合成数の残り
8302268245672790050243236323126884465650476670994748066438766345189587482522476918197078005268075645616226685316895154707079107121639789710010861839698299687808687702502669120652278856044378575182972476905800492574647004786823468725465499392689016272427526014559<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10279+629

c264

composite cofactor 合成数の残り
780481307304022468105127038637928609498710687488120479973685610273932940852207892383150005509761637433901778314351389270026083335874724217564638675806416880557223159446324294590475128747112192393540466953852123783534745300399730121745167059130936508802889659014433<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10280+629

c243

composite cofactor 合成数の残り
680699863887801144461919129334319615796555184364576463849153367731686042111393816885989596637574191214090827642703730577684691502709204834376200363890117494764328123815703737643749521137157728205568510751784258665600912730568749177882961302091<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10282+629

c248

composite cofactor 合成数の残り
29106447095290557737056971506827466364942831725772853776160138063184951549422724916307351030240364133037872881767801826540884999983903484339845567024937166433844160809878908551993453448855384366735099903358682173884529740259700708796742548612280409<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10284+629

c236

composite cofactor 合成数の残り
84768770713408736747866724253616023003631250138791615304011273118979876417921597655410308644305245835742340519130181320046149727955207431371611831767645093121252406025414732625197388379328531502611788945970042577307532300388060798583109<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10285+629

c222

composite cofactor 合成数の残り
308455803255963917213821328638644588238453623822977844624837862263619776821305896296666685009202967316796911804263634806586992301725071743648305404400786772844146578806807754736349331529739211385627595622248330830060131863<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10286+629

c273

composite cofactor 合成数の残り
826319524969935074771269236262610273699684219776960060602396977255551638804054964951217522089704755824098821236403229870758375064679768800897828070436061151591831928305994904715198401991727419250149772826365443467776841396036271457886640139273644176412390182643615741433911<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10287+629

c261

composite cofactor 合成数の残り
155532048149941916860735790324633054980012793775491222340016936432281286499892109162600327228027384463943935183140238989301671187746532043777531290780897916341810033166443434543868597219776995719964708534589346678089880296726653373677750151918526783439306460327<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10288+629

c288

composite cofactor 合成数の残り
235042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735042735043<288>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10289+629

c243

composite cofactor 合成数の残り
790234353769681870453742607817931061086969754358492738619370290408546975867112664114612221970215485146223292879983298835070832747336138270336371404878897491467754830761692647107585199823866300665767733419059729908448217431159977317198246914793<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10290+629

c246

composite cofactor 合成数の残り
269854931420553501939352235047280491380330013350431077319035002131359010107435910882927280264164567332348209587413391941066906667735749444917364249449686287644693340457668713473562562425110333983027122022109755765569153974323437791547792022835827<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10291+629

c278

composite cofactor 合成数の残り
10624179780995919932456914853244470783529533827505454657501080955473659157858920982717762545452127246850702385029483080481499388609062149782374547793562579184208257704795406235296044054211648252545722739300290679843848174955510705330617258758811378570319619521454331148201550357<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10293+629

c278

composite cofactor 合成数の残り
99799361778674220913998975006353681014556941966226978936973326070544753760012425824158579204714647299025598350692595630702210482206754297305562823661418041800692983678778167052737353751055048553564464600409476053833011759192300602996385361609366974980113294405331664068951504167<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10294+629

c269

composite cofactor 合成数の残り
48358250885410467512898255800337650075721434736289445613687371909522017268290186242032184946396393835700631494346354498665634954034393087861490755898539234772035452352390306875778552956840141342893191188853893343118286795908511898657288022920957575036912278349244817379<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10295+629

c289

composite cofactor 合成数の残り
9693311040832843644883752350495745887771408743697893826802526704278828409325190811065418605284814328504337263213119709677227194185818093774077964322905128321990220753350739700090366332783211495463230821458057977209016583986248328740995046224580481429043606117557867921340649069042070697089<289>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10296+629

c252

composite cofactor 合成数の残り
318952191171817747619897641584686793949697182471963360698258617129355534257917810356842141517570291972130840023690724729011666836352251431032559967219684434173807985628508693723256555623203124809249975035150211009063467260918523015928956881845526386803<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10297+629

c297

composite cofactor 合成数の残り
436507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507937<297>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10299+629

c240

name 名前Dmitry Domanov
date 日付October 20, 2022 05:31:40 UTC 2022 年 10 月 20 日 (木) 14 時 31 分 40 秒 (日本時間)
composite number 合成数
339108522545855161795408383839447404506770614048596911253225795955248542489398864875032671058282556147971403717774172083672826452873874044290112932532783703726790021744669607324168957179676650120986142505472495688620939183731328997979084379<240>
prime factors 素因数
219668247336895523192089412172713111<36>
1543730268971370018548169000930787867804791948931254502085442666854384651311760306916279612830085522602409595848246641700518470518016099602835924001666747350273569657142489916852561655946154895326496442589<205>
factorization results 素因数分解の結果
Resuming ECM residue saved by @3ef3835ca0ec with GMP-ECM 7.0.5-dev on Sun Oct 16 22:26:19 2022 
Input number is 339108522545855161795408383839447404506770614048596911253225795955248542489398864875032671058282556147971403717774172083672826452873874044290112932532783703726790021744669607324168957179676650120986142505472495688620939183731328997979084379 (240 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3312694856
Step 1 took 0ms
Step 2 took 3301ms
********** Factor found in step 2: 219668247336895523192089412172713111
Found prime factor of 36 digits: 219668247336895523192089412172713111
Prime cofactor 1543730268971370018548169000930787867804791948931254502085442666854384651311760306916279612830085522602409595848246641700518470518016099602835924001666747350273569657142489916852561655946154895326496442589 has 205 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)

55×10300+629

c273

name 名前Dmitry Domanov
date 日付October 6, 2022 08:37:10 UTC 2022 年 10 月 6 日 (木) 17 時 37 分 10 秒 (日本時間)
composite number 合成数
274335977453198142354137461664308187264766014218867458289074654784903301679692662396504540762795894721308968780927006712686899528018997575932034382239583633671215072876311849624321763310717106924192942596581301795153694926314307690573704922979216545606931690646165986188429<273>
prime factors 素因数
5673066189111751677292846822503933263976167<43>
48357619725947832977041462759850509886425566314396816570243387801555697042380391080509288782570928473235140657716959331951511435736627369992905324139949334814648354604298266396048086447210849629230043013597432199901667420163335787<230>
factorization results 素因数分解の結果
Resuming ECM residue saved by @80f0b2900efa with GMP-ECM 7.0.5-dev on Thu Oct  6 07:51:38 2022 
Input number is 274335977453198142354137461664308187264766014218867458289074654784903301679692662396504540762795894721308968780927006712686899528018997575932034382239583633671215072876311849624321763310717106924192942596581301795153694926314307690573704922979216545606931690646165986188429 (273 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3201086979
Step 1 took 0ms
Step 2 took 7120ms
********** Factor found in step 2: 5673066189111751677292846822503933263976167
Found prime factor of 43 digits: 5673066189111751677292846822503933263976167
Prime cofactor 48357619725947832977041462759850509886425566314396816570243387801555697042380391080509288782570928473235140657716959331951511435736627369992905324139949334814648354604298266396048086447210849629230043013597432199901667420163335787 has 230 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)