Table of contents 目次

3×10106+8

c98

name 名前Dmitry Domanov
date 日付June 12, 2022 19:02:22 UTC 2022 年 6 月 13 日 (月) 4 時 2 分 22 秒 (日本時間)
composite number 合成数
92459275449175173269298586923935874487347219368655028451938078321981019121638362581243040744435733<98>
prime factors 素因数
1300465997077585496479179517820845550239<40>
71097034183861921130988603632640857119549149513987964345547<59>
factorization results 素因数分解の結果
N=92459275449175173269298586923935874487347219368655028451938078321981019121638362581243040744435733
  ( 98 digits)
SNFS difficulty: 105 digits.
Divisors found:
p40 factor: 1300465997077585496479179517820845550239
p59 factor: 71097034183861921130988603632640857119549149513987964345547
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.11 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 92459275449175173269298586923935874487347219368655028451938078321981019121638362581243040744435733
m: 100000000000000000000000000
deg: 4
c4: 75
c0: 2
skew: 0.40
# Murphy_E = 1.93e-07
type: snfs
lss: 1
rlim: 410000
alim: 410000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 410000/410000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [205000, 345001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 33140 x 33365
Total sieving time: 0.11 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,105.000,4,0,0,0,0,0,0,0,0,410000,410000,25,25,44,44,2.2,2.2,20000
total time: 0.11 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10119+8

c91

name 名前Dmitry Domanov
date 日付June 12, 2022 23:02:40 UTC 2022 年 6 月 13 日 (月) 8 時 2 分 40 秒 (日本時間)
composite number 合成数
1799459889373982087242725137174622750858720635039448811912850212223187992113840698317001533<91>
prime factors 素因数
905212056499932976593967180838471015122854991<45>
1987887673891267180935343615787795211899818163<46>
factorization results 素因数分解の結果
N=1799459889373982087242725137174622750858720635039448811912850212223187992113840698317001533
  ( 91 digits)
Divisors found:
p45 factor: 905212056499932976593967180838471015122854991
p46 factor: 1987887673891267180935343615787795211899818163
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.70 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1799459889373982087242725137174622750858720635039448811912850212223187992113840698317001533
skew: 142936.09
c0: -939233577144730435500907
c1: 40915487676834402755
c2: 356244510189059
c3: -2156002023
c4: 8820
Y0: -3779442997616831599000
Y1: 1339084121171
rlim: 1260000
alim: 1260000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.3
alambda: 2.3
type: gnfs
lss: 0
Factor base limits: 1260000/1260000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 50/50
Sieved algebraic special-q in [630000, 910001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 102091 x 102317
Total sieving time: 0.67 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:
gnfs,90,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1260000,1260000,25,25,50,50,2.3,2.3,40000
total time: 0.70 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10121+8

c118

name 名前Dmitry Domanov
date 日付June 12, 2022 23:24:20 UTC 2022 年 6 月 13 日 (月) 8 時 24 分 20 秒 (日本時間)
composite number 合成数
1115739363284736685510264802142219577506694436179708420113061588812853317465040166617078250520678369532877119904790241<118>
prime factors 素因数
2853618843504223070502667331782965587<37>
390991027349194578177679048020434970048560663756210123668703152423856788672210043<81>
factorization results 素因数分解の結果
N=1115739363284736685510264802142219577506694436179708420113061588812853317465040166617078250520678369532877119904790241
  ( 118 digits)
SNFS difficulty: 121 digits.
Divisors found:
p37 factor: 2853618843504223070502667331782965587
p81 factor: 390991027349194578177679048020434970048560663756210123668703152423856788672210043
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.75 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1115739363284736685510264802142219577506694436179708420113061588812853317465040166617078250520678369532877119904790241
m: 1000000000000000000000000000000
deg: 4
c4: 15
c0: 4
skew: 0.72
# Murphy_E = 3.635e-08
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [365000, 665001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 69099 x 69324
Total sieving time: 0.74 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,4,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 0.75 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10123+8

c116

name 名前Dmitry Domanov
date 日付June 13, 2022 07:50:58 UTC 2022 年 6 月 13 日 (月) 16 時 50 分 58 秒 (日本時間)
composite number 合成数
98274638041404808433903230143216285181992836696116736642576713837619374202828894420804662253654964821610566698734773<116>
prime factors 素因数
88238426733109352530329406180396009076176247889645582811<56>
1113739690063281787962547871216479845045631030173045423904943<61>
factorization results 素因数分解の結果
N=98274638041404808433903230143216285181992836696116736642576713837619374202828894420804662253654964821610566698734773
  ( 116 digits)
SNFS difficulty: 123 digits.
Divisors found:
p56 factor: 88238426733109352530329406180396009076176247889645582811
p61 factor: 1113739690063281787962547871216479845045631030173045423904943
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.85 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 98274638041404808433903230143216285181992836696116736642576713837619374202828894420804662253654964821610566698734773
m: 5000000000000000000000000000000
deg: 4
c4: 3
c0: 5
skew: 1.14
# Murphy_E = 3.219e-08
type: snfs
lss: 1
rlim: 790000
alim: 790000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 790000/790000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [395000, 770001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 70376 x 70602
Total sieving time: 0.84 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,123.000,4,0,0,0,0,0,0,0,0,790000,790000,25,25,46,46,2.2,2.2,75000
total time: 0.85 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10125+8

c90

name 名前Eric Jeancolas
date 日付June 13, 2022 03:04:57 UTC 2022 年 6 月 13 日 (月) 12 時 4 分 57 秒 (日本時間)
composite number 合成数
144592481006864605176039183825207229281656553877494567445459203632351831736233225913819391<90>
prime factors 素因数
822371997962886236973185496541433<33>
175823692155177302159534398983668457094882500369658367927<57>
factorization results 素因数分解の結果
fac: using pretesting plan: normal
fac: no tune info: using qs/gnfs crossover of 95 digits
div: primes less than 10000
fmt: 1000000 iterations
rho: x^2 + 3, starting 1000 iterations on C122
rho: x^2 + 2, starting 1000 iterations on C122
rho: x^2 + 1, starting 1000 iterations on C122
pm1: starting B1 = 150K, B2 = gmp-ecm default on C122
ecm: 30/30 curves on C122, B1=2K, B2=gmp-ecm default
ecm: 74/74 curves on C122, B1=11K, B2=gmp-ecm default
ecm: 214/214 curves on C122, B1=50K, B2=gmp-ecm default, ETA: 0 sec
pm1: starting B1 = 3750K, B2 = gmp-ecm default on C122
ecm: 302/430 curves on C122, B1=250K, B2=gmp-ecm default, ETA: 1.0 min

starting SIQS on c89: 86200003142948613015784490390709395948312142543663211238388932642651781630703740022795193

==== sieving in progress (1 thread):   70528 relations needed ====
====           Press ctrl-c to abort and save state           ====
70370 rels found: 20666 full + 49704 from 829151 partial, (1066.72 rels/sec)

SIQS elapsed time = 806.2795 seconds.
Total factoring time = 974.7030 seconds

***factors found***

P33 = 822371997962886236973185496541433
P57 = 175823692155177302159534398983668457094882500369658367927
P33 = 490263866526422325734760540012559
software ソフトウェア
Yafu 1.34
execution environment 実行環境
Windows 10 21H2
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10126+8

c123

name 名前Dmitry Domanov
date 日付June 13, 2022 09:01:24 UTC 2022 年 6 月 13 日 (月) 18 時 1 分 24 秒 (日本時間)
composite number 合成数
466998754669987546699875466998754669987546699875466998754669987546699875466998754669987546699875466998754669987546699875467<123>
prime factors 素因数
284135252996486008322583251045217857745616082225477<51>
1643579069281357600038832646492396474062790584475345038370950262443305871<73>
factorization results 素因数分解の結果
N=466998754669987546699875466998754669987546699875466998754669987546699875466998754669987546699875466998754669987546699875467
  ( 123 digits)
SNFS difficulty: 125 digits.
Divisors found:
p51 factor: 284135252996486008322583251045217857745616082225477
p73 factor: 1643579069281357600038832646492396474062790584475345038370950262443305871
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.00 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 466998754669987546699875466998754669987546699875466998754669987546699875466998754669987546699875466998754669987546699875467
m: 10000000000000000000000000000000
deg: 4
c4: 75
c0: 2
skew: 0.40
# Murphy_E = 2.242e-08
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 815001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 89882 x 90107
Total sieving time: 0.98 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,125.000,4,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,75000
total time: 1.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10127+8

c95

name 名前Eric Jeancolas
date 日付June 13, 2022 07:25:19 UTC 2022 年 6 月 13 日 (月) 16 時 25 分 19 秒 (日本時間)
composite number 合成数
36625858725623043958080876327623356033521730428313853140509997181605385111717570913059318527853<95>
prime factors 素因数
13157707676485556816507998047040253<35>
2783604836507955084869435829930448978281666207868502923729201<61>
factorization results 素因数分解の結果
fac: using pretesting plan: normal
fac: no tune info: using qs/gnfs crossover of 95 digits
div: primes less than 10000
fmt: 1000000 iterations
rho: x^2 + 3, starting 1000 iterations on C124
rho: x^2 + 2, starting 1000 iterations on C124
rho: x^2 + 1, starting 1000 iterations on C124
pm1: starting B1 = 150K, B2 = gmp-ecm default on C124
ecm: 5/30 curves on C107, B1=2K, B2=gmp-ecm default
ecm: 24/24 curves on C95, B1=2K, B2=gmp-ecm default
ecm: 74/74 curves on C95, B1=11K, B2=gmp-ecm default
ecm: 214/214 curves on C95, B1=50K, B2=gmp-ecm default, ETA: 0 sec
pm1: starting B1 = 3750K, B2 = gmp-ecm default on C95
ecm: 337/337 curves on C95, B1=250K, B2=gmp-ecm default, ETA: 0 sec

starting SIQS on c95: 36625858725623043958080876327623356033521730428313853140509997181605385111717570913059318527853

==== sieving in progress (1 thread):   92976 relations needed ====
====           Press ctrl-c to abort and save state           ====
93024 rels found: 24948 full + 68076 from 1224844 partial, (406.75 rels/sec)

failure to equate relation
Q = 523008974275054017772392130314797017338395990830977184383757283028632060590347214050177682240332, RHS = 85048560165814043094768241332583584400518601082387561515414620309293501168193618123283755852
SIQS elapsed time = 3090.8746 seconds.
Total factoring time = 3234.4542 seconds

***factors found***

P61 = 2783604836507955084869435829930448978281666207868502923729201
P35 = 13157707676485556816507998047040253
software ソフトウェア
Yafu 1.34
execution environment 実行環境
Windows 10 21H2
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10128+8

c93

name 名前Eric Jeancolas
date 日付June 13, 2022 05:56:45 UTC 2022 年 6 月 13 日 (月) 14 時 56 分 45 秒 (日本時間)
composite number 合成数
469781251221166230374829237374056660466527555610990181224509933137901987456764444214122194137<93>
prime factors 素因数
392049659997266185784261942790612936993231149<45>
1198269758031271031515813910330231574896889230813<49>
factorization results 素因数分解の結果
fac: using pretesting plan: normal
fac: no tune info: using qs/gnfs crossover of 95 digits
div: primes less than 10000
fmt: 1000000 iterations
rho: x^2 + 3, starting 1000 iterations on C126
rho: x^2 + 2, starting 1000 iterations on C126
rho: x^2 + 1, starting 1000 iterations on C126
pm1: starting B1 = 150K, B2 = gmp-ecm default on C126
ecm: 0/30 curves on C117, B1=2K, B2=gmp-ecm default
ecm: 0/29 curves on C107, B1=2K, B2=gmp-ecm default
ecm: 28/28 curves on C93, B1=2K, B2=gmp-ecm default
ecm: 74/74 curves on C93, B1=11K, B2=gmp-ecm default
ecm: 214/214 curves on C93, B1=50K, B2=gmp-ecm default, ETA: 0 sec
pm1: starting B1 = 3750K, B2 = gmp-ecm default on C93
ecm: 283/283 curves on C93, B1=250K, B2=gmp-ecm default, ETA: 0 sec

starting SIQS on c93: 469781251221166230374829237374056660466527555610990181224509933137901987456764444214122194137

==== sieving in progress (1 thread):   83760 relations needed ====
====           Press ctrl-c to abort and save state           ====
83863 rels found: 22040 full + 61823 from 1080865 partial, (479.97 rels/sec)

failure to equate relation
Q = 91346830778202950193600406253747484593633434977422438787759473641191519078493697129504605392, RHS = 7981542896355323003795695827678401160501546662193423922109098346019962996706920522876112
SIQS elapsed time = 2313.5585 seconds.
Total factoring time = 2449.7730 seconds

***factors found***

P45 = 392049659997266185784261942790612936993231149
P49 = 1198269758031271031515813910330231574896889230813
software ソフトウェア
Yafu 1.34
execution environment 実行環境
Windows 10 21H2
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10129+8

c122

name 名前Dmitry Domanov
date 日付June 13, 2022 09:01:21 UTC 2022 年 6 月 13 日 (月) 18 時 1 分 21 秒 (日本時間)
composite number 合成数
38366739167867375083780169429566391391281296644363143334761258105740983995340333950236395384491509235999542054601292335011<122>
prime factors 素因数
19775263128739339384538048671356242220572550957500942131<56>
1940137985426302169794127127765545639761353318430582676297690070481<67>
factorization results 素因数分解の結果
N=38366739167867375083780169429566391391281296644363143334761258105740983995340333950236395384491509235999542054601292335011
  ( 122 digits)
SNFS difficulty: 129 digits.
Divisors found:
p56 factor: 19775263128739339384538048671356242220572550957500942131
p67 factor: 1940137985426302169794127127765545639761353318430582676297690070481
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.35 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 38366739167867375083780169429566391391281296644363143334761258105740983995340333950236395384491509235999542054601292335011
m: 100000000000000000000000000000000
deg: 4
c4: 15
c0: 4
skew: 0.72
# Murphy_E = 1.499e-08
type: snfs
lss: 1
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [500000, 1000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 116747 x 116972
Total sieving time: 1.31 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,129.000,4,0,0,0,0,0,0,0,0,1000000,1000000,26,26,47,47,2.3,2.3,100000
total time: 1.35 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10130+8

c113

name 名前Dmitry Domanov
date 日付June 13, 2022 11:09:29 UTC 2022 年 6 月 13 日 (月) 20 時 9 分 29 秒 (日本時間)
composite number 合成数
16175536059010493957535586958418996669273770180429356720784859772017526633585626062271976752367775616826985953067<113>
prime factors 素因数
227583538576728217030993<24>
1064543898013731325938292663493<31>
66765831410527193405169178122499126098589578508637188371583<59>
factorization results 素因数分解の結果
N=16175536059010493957535586958418996669273770180429356720784859772017526633585626062271976752367775616826985953067
  ( 113 digits)
SNFS difficulty: 129 digits.
Divisors found:
p24 factor: 227583538576728217030993
p31 factor: 1064543898013731325938292663493
p59 factor: 66765831410527193405169178122499126098589578508637188371583
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.57 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 16175536059010493957535586958418996669273770180429356720784859772017526633585626062271976752367775616826985953067
m: 100000000000000000000000000000000
deg: 4
c4: 75
c0: 2
skew: 0.40
# Murphy_E = 1.435e-08
type: snfs
lss: 1
rlim: 1020000
alim: 1020000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1020000/1020000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [510000, 1010001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 116537 x 116762
Total sieving time: 1.53 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,129.000,4,0,0,0,0,0,0,0,0,1020000,1020000,26,26,47,47,2.3,2.3,100000
total time: 1.57 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10131+8

c106

name 名前Dmitry Domanov
date 日付June 13, 2022 12:08:50 UTC 2022 年 6 月 13 日 (月) 21 時 8 分 50 秒 (日本時間)
composite number 合成数
3930043681704633505971633086633848069457940986267135809877029848247930100601271881626903033364412355818673<106>
prime factors 素因数
186074410653297099300852771975289327321712296370251<51>
21120817569199680134151675080880342078772042161234327923<56>
factorization results 素因数分解の結果
N=3930043681704633505971633086633848069457940986267135809877029848247930100601271881626903033364412355818673
  ( 106 digits)
SNFS difficulty: 131 digits.
Divisors found:
p51 factor: 186074410653297099300852771975289327321712296370251
p56 factor: 21120817569199680134151675080880342078772042161234327923
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.62 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3930043681704633505971633086633848069457940986267135809877029848247930100601271881626903033364412355818673
m: 500000000000000000000000000000000
deg: 4
c4: 3
c0: 5
skew: 1.14
# Murphy_E = 1.32e-08
type: snfs
lss: 1
rlim: 1080000
alim: 1080000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1080000/1080000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [540000, 1040001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 140927 x 141152
Total sieving time: 1.57 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,131.000,4,0,0,0,0,0,0,0,0,1080000,1080000,26,26,47,47,2.3,2.3,100000
total time: 1.62 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10132+8

c126

name 名前Dmitry Domanov
date 日付June 13, 2022 12:43:41 UTC 2022 年 6 月 13 日 (月) 21 時 43 分 41 秒 (日本時間)
composite number 合成数
823790181739097960734864777587634799533405241062974915039772589974363649544279271461931008121472805038520428898120220643962277<126>
prime factors 素因数
9702759202026474093491626052212557968202089576757963304569943<61>
84902671970571514906634391048516077647743263306570754090471741539<65>
factorization results 素因数分解の結果
N=823790181739097960734864777587634799533405241062974915039772589974363649544279271461931008121472805038520428898120220643962277
  ( 126 digits)
SNFS difficulty: 132 digits.
Divisors found:
p61 factor: 9702759202026474093491626052212557968202089576757963304569943
p65 factor: 84902671970571514906634391048516077647743263306570754090471741539
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.98 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 823790181739097960734864777587634799533405241062974915039772589974363649544279271461931008121472805038520428898120220643962277
m: 1000000000000000000000000000000000
deg: 4
c4: 3
c0: 8
skew: 1.28
# Murphy_E = 1.182e-08
type: snfs
lss: 1
rlim: 1130000
alim: 1130000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1130000/1130000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [565000, 1165001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 122749 x 122974
Total sieving time: 1.95 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,132.000,4,0,0,0,0,0,0,0,0,1130000,1130000,26,26,47,47,2.3,2.3,100000
total time: 1.98 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10134+8

c107

name 名前Dmitry Domanov
date 日付June 13, 2022 13:24:28 UTC 2022 年 6 月 13 日 (月) 22 時 24 分 28 秒 (日本時間)
composite number 合成数
13760833094371226933411508327678166553996346330284301308244598272488096540231904841680600219553924290133537<107>
prime factors 素因数
84306560221239296221609<23>
19776791446392592095613007589521539814089<41>
8253297944829088686550282283462118824993137<43>
factorization results 素因数分解の結果
N=13760833094371226933411508327678166553996346330284301308244598272488096540231904841680600219553924290133537
  ( 107 digits)
SNFS difficulty: 133 digits.
Divisors found:
p23 factor: 84306560221239296221609
p41 factor: 19776791446392592095613007589521539814089
p43 factor: 8253297944829088686550282283462118824993137
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.28 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 13760833094371226933411508327678166553996346330284301308244598272488096540231904841680600219553924290133537
m: 1000000000000000000000000000000000
deg: 4
c4: 75
c0: 2
skew: 0.40
# Murphy_E = 9.142e-09
type: snfs
lss: 1
rlim: 1190000
alim: 1190000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1190000/1190000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [595000, 1295001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 148680 x 148906
Total sieving time: 2.23 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,133.000,4,0,0,0,0,0,0,0,0,1190000,1190000,26,26,47,47,2.3,2.3,100000
total time: 2.28 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10135+8

c101

name 名前Dmitry Domanov
date 日付June 13, 2022 15:02:21 UTC 2022 年 6 月 14 日 (火) 0 時 2 分 21 秒 (日本時間)
composite number 合成数
59616086478214678648959589376812489637141459474493923026982935910363382505000815698939929203689411419<101>
prime factors 素因数
14730309322101473228729377284559010375020318429<47>
4047171391626259231695318353290876920014689733404220311<55>
factorization results 素因数分解の結果
N=59616086478214678648959589376812489637141459474493923026982935910363382505000815698939929203689411419
  ( 101 digits)
SNFS difficulty: 135 digits.
Divisors found:
p47 factor: 14730309322101473228729377284559010375020318429
p55 factor: 4047171391626259231695318353290876920014689733404220311
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.42 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 59616086478214678648959589376812489637141459474493923026982935910363382505000815698939929203689411419
m: 5000000000000000000000000000000000
deg: 4
c4: 3
c0: 5
skew: 1.14
# Murphy_E = 8.387e-09
type: snfs
lss: 1
rlim: 1260000
alim: 1260000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1260000/1260000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [630000, 1430001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 158184 x 158410
Total sieving time: 2.35 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,135.000,4,0,0,0,0,0,0,0,0,1260000,1260000,26,26,47,47,2.3,2.3,100000
total time: 2.42 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10136+8

c134

name 名前Dmitry Domanov
date 日付June 13, 2022 15:46:01 UTC 2022 年 6 月 14 日 (火) 0 時 46 分 1 秒 (日本時間)
composite number 合成数
30991735537190082644628099173553719008264462809917355371900826446280991735537190082644628099173553719008264462809917355371900826446281<134>
prime factors 素因数
220609395174331679210851035300435310644456147419<48>
140482392024598731814765799775420357735989543813476002080901137040469581024344131872299<87>
factorization results 素因数分解の結果
N=30991735537190082644628099173553719008264462809917355371900826446280991735537190082644628099173553719008264462809917355371900826446281
  ( 134 digits)
SNFS difficulty: 136 digits.
Divisors found:
p48 factor: 220609395174331679210851035300435310644456147419
p87 factor: 140482392024598731814765799775420357735989543813476002080901137040469581024344131872299
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.55 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 30991735537190082644628099173553719008264462809917355371900826446280991735537190082644628099173553719008264462809917355371900826446281
m: 10000000000000000000000000000000000
deg: 4
c4: 3
c0: 8
skew: 1.28
# Murphy_E = 7.501e-09
type: snfs
lss: 1
rlim: 1320000
alim: 1320000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1320000/1320000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [660000, 1460001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 168081 x 168306
Total sieving time: 2.51 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,136.000,4,0,0,0,0,0,0,0,0,1320000,1320000,26,26,48,48,2.3,2.3,100000
total time: 2.55 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10138+8

c109

name 名前Ignacio Santos
date 日付June 13, 2022 19:26:51 UTC 2022 年 6 月 14 日 (火) 4 時 26 分 51 秒 (日本時間)
composite number 合成数
1190937703658331027122427844249982197437401259077398477521764563662680719294032987550012193556385679479568161<109>
prime factors 素因数
53393961959044252243063421867699<32>
22304726226756459246328136616219487992123675255612068161066843832010783442139<77>
factorization results 素因数分解の結果
N=1190937703658331027122427844249982197437401259077398477521764563662680719294032987550012193556385679479568161
  ( 109 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=53393961959044252243063421867699 (pp32)
 r2=22304726226756459246328136616219487992123675255612068161066843832010783442139 (pp77)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.79 hours.
Scaled time: 29.56 units (timescale=7.800).
Factorization parameters were as follows:
n: 1190937703658331027122427844249982197437401259077398477521764563662680719294032987550012193556385679479568161
m: 10000000000000000000000000000000000
deg: 4
c4: 75
c0: 2
skew: 0.40
# Murphy_E = 5.796e-09
type: snfs
lss: 1
rlim: 1390000
alim: 1390000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1390000/1390000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [695000, 1695001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 220630 x 220855
Total sieving time: 3.75 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,137.000,4,0,0,0,0,0,0,0,0,1390000,1390000,26,26,48,48,2.3,2.3,100000
total time: 3.79 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10141+8

c114

name 名前Eric Jeancolas
date 日付June 15, 2022 05:40:10 UTC 2022 年 6 月 15 日 (水) 14 時 40 分 10 秒 (日本時間)
composite number 合成数
723112347186215089135528417100552090855731420685923000890513061148459637431259668777663462307429825605930748299269<114>
prime factors 素因数
30079409859139769528446716518383129936399<41>
24040110845675185896898337180502255712883073466412948993966623249244969131<74>
factorization results 素因数分解の結果
723112347186215089135528417100552090855731420685923000890513061148459637431259668777663462307429825605930748299269=30079409859139769528446716518383129936399*24040110845675185896898337180502255712883073466412948993966623249244969131

cado polynomial
n: 723112347186215089135528417100552090855731420685923000890513061148459637431259668777663462307429825605930748299269
skew: 0.77
type: snfs
c0: 4
c5: 15
Y0: 10000000000000000000000000000
Y1: -1
# f(x) = 15*x^5+4
# g(x) = -x+10000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1580000
tasks.lim1 = 1580000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 24040110845675185896898337180502255712883073466412948993966623249244969131 30079409859139769528446716518383129936399
Info:Square Root: Total cpu/real time for sqrt: 34.98/26.9798
Info:Filtering - Singleton removal: Total cpu/real time for purge: 51.47/73.1763
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6079177
Info:Lattice Sieving: Average J: 1892.13 for 49546 special-q, max bucket fill -bkmult 1.0,1s:1.222640
Info:Lattice Sieving: Total time: 10797.5s
Info:Linear Algebra: Total cpu/real time for bwc: 340.38/287.43
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 143.68, WCT time 144.31, iteration CPU time 0.02, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4096 iterations)
Info:Linear Algebra: Lingen CPU time 109.73, WCT time 92.21
Info:Linear Algebra: Mksol: CPU time 78.54,  WCT time 42.91, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2048 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 29.9/21.558
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.52/38.6564
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 38.4s
Info:Filtering - Merging: Merged matrix has 128915 rows and total weight 21918300 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 31.12/24.7216
Info:Filtering - Merging: Total cpu/real time for replay: 4.2/4.48628
Info:Generate Factor Base: Total cpu/real time for makefb: 0.7/0.850847
Info:Quadratic Characters: Total cpu/real time for characters: 4.18/3.62783
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.71/76.8733
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 71.9s
Info:Square Root: Total cpu/real time for sqrt: 34.98/26.9798
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 10582.9/6186.9
Info:root: Cleaning up computation data in /tmp/cado.2m9l4rqr
24040110845675185896898337180502255712883073466412948993966623249244969131 30079409859139769528446716518383129936399
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10142+8

c101

name 名前Eric Jeancolas
date 日付June 13, 2022 11:15:23 UTC 2022 年 6 月 13 日 (月) 20 時 15 分 23 秒 (日本時間)
composite number 合成数
68236164513066602907023890133512008620506469486648932661561454158927119059173883710061934294935710939<101>
prime factors 素因数
224665968159255399692761021837452314713<39>
303722744802617883753985043996508533551471486858343177786603603<63>
factorization results 素因数分解の結果
68236164513066602907023890133512008620506469486648932661561454158927119059173883710061934294935710939=224665968159255399692761021837452314713*303722744802617883753985043996508533551471486858343177786603603

cado polynomial
n: 68236164513066602907023890133512008620506469486648932661561454158927119059173883710061934294935710939
skew: 79899.729
c0: -26875256713516405793541825
c1: -248331050315407610968
c2: -1263173457377249
c3: -62637358518
c4: 879840
Y0: -527722187171265675028582
Y1: 179378952453209
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=2.206e+12) = 2.363e-06
# f(x) = 879840*x^4-62637358518*x^3-1263173457377249*x^2-248331050315407610968*x-26875256713516405793541825
# g(x) = 179378952453209*x-527722187171265675028582

cado parameters (extracts)
tasks.lim0 = 919082
tasks.lim1 = 1051872
tasks.lpb0 = 24
tasks.lpb1 = 25
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 50
tasks.I = 11
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 303722744802617883753985043996508533551471486858343177786603603 224665968159255399692761021837452314713
Info:Square Root: Total cpu/real time for sqrt: 47.79/36.361
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 27.45/45.2482
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 36.0s
Info:Square Root: Total cpu/real time for sqrt: 47.79/36.361
Info:Filtering - Singleton removal: Total cpu/real time for purge: 17.55/29.02
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2467114
Info:Lattice Sieving: Average J: 957.199 for 118942 special-q, max bucket fill -bkmult 1.0,1s:1.329770
Info:Lattice Sieving: Total time: 8374.81s
Info:Generate Factor Base: Total cpu/real time for makefb: 0.75/0.620008
Info:Generate Free Relations: Total cpu/real time for freerel: 24.3/15.7684
Info:Linear Algebra: Total cpu/real time for bwc: 633.06/544.99
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 340.21, WCT time 331.05, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (6656 iterations)
Info:Linear Algebra: Lingen CPU time 84.69, WCT time 60.47
Info:Linear Algebra: Mksol: CPU time 189.33,  WCT time 136.2, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3328 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9.54/16.3848
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 15.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 61.51
Info:Polynomial Selection (root optimized): Rootsieve time: 61.13
Info:Filtering - Merging: Merged matrix has 211439 rows and total weight 36102256 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 47.78/36.5406
Info:Filtering - Merging: Total cpu/real time for replay: 7.93/8.75084
Info:Quadratic Characters: Total cpu/real time for characters: 7.18/5.82164
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 5781.44
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 5876/33.360/38.498/39.320/0.691
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 3414/33.290/37.002/39.310/1.004
Info:Polynomial Selection (size optimized): Total time: 105.27
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 8282.29/5033.78
Info:root: Cleaning up computation data in /tmp/cado.40j2l6_0
303722744802617883753985043996508533551471486858343177786603603 224665968159255399692761021837452314713
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10143+8

c108

name 名前Eric Jeancolas
date 日付June 17, 2022 22:17:37 UTC 2022 年 6 月 18 日 (土) 7 時 17 分 37 秒 (日本時間)
composite number 合成数
840950548787773567674834886874087725793541531204321772077883170780270982948848586313979245442596902286522491<108>
prime factors 素因数
113817707364469273241034443<27>
137076108296301648726628960547966311<36>
53901252753292877977328558634125086899500704967<47>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Using B1=10000, B2=1873422, polynomial x^1, sigma=1:3264855362
Step 1 took 39ms
Step 2 took 41ms
********** Factor found in step 2: 113817707364469273241034443
Found prime factor of 27 digits: 113817707364469273241034443
Composite cofactor 7388573959716701956482539486519432587674881653021102008266429966311873362666366737 has 82 digits

7388573959716701956482539486519432587674881653021102008266429966311873362666366737 = 137076108296301648726628960547966311 * 53901252753292877977328558634125086899500704967
Time elapsed: 0d 0h 22m 32.7s

Modular multiplications:

    ECM: 78622512
    Probable prime checking: 1365
    SIQS: 142527
    Sum of squares: 2845

SIQS:

    792242 polynomials sieved
    411663 sets of trial divisions
    16527 smooth congruences found (1 out of every 3982541 values)
    177660 partial congruences found (1 out of every 370479 values)
    16641 useful partial congruences
    Size of binary matrix: 30404 × 29548

Timings:

    Probable prime test of 3 numbers: 0d 0h 0m 0.0s
    Factoring 1 number using ECM: 0d 0h 0m 34.1s
    Factoring 1 number using SIQS: 0d 0h 21m 58.6s 
software ソフトウェア
GMP-ECM 7.0.4 for P27
Dario Alpern's calculator for P36 × P47
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10147+8

c131

name 名前Eric Jeancolas
date 日付June 18, 2022 16:58:03 UTC 2022 年 6 月 19 日 (日) 1 時 58 分 3 秒 (日本時間)
composite number 合成数
19406137618094158381270087116589913692144620696353882906780451079001714530643400119605995642341965666331939248390906682490434751923<131>
prime factors 素因数
19541039554182449173772225455196469631<38>
993096481089747491169688984187378134965812922334112251865963024012568912477799551965992861133<93>
factorization results 素因数分解の結果
19406137618094158381270087116589913692144620696353882906780451079001714530643400119605995642341965666331939248390906682490434751923=19541039554182449173772225455196469631*993096481089747491169688984187378134965812922334112251865963024012568912477799551965992861133

cado polynomial
n: 19406137618094158381270087116589913692144620696353882906780451079001714530643400119605995642341965666331939248390906682490434751923
skew: 0.48
type: snfs
c0: 2
c5: 75
Y0: 100000000000000000000000000000
Y1: -1
# f(x) = 75*x^5+2
# g(x) = -x+100000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1960000
tasks.lim1 = 1960000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 993096481089747491169688984187378134965812922334112251865963024012568912477799551965992861133 19541039554182449173772225455196469631
Info:Square Root: Total cpu/real time for sqrt: 33.99/11.0839
Info:Filtering - Singleton removal: Total cpu/real time for purge: 40.09/37.4262
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6059496
Info:Lattice Sieving: Average J: 1892.55 for 70462 special-q, max bucket fill -bkmult 1.0,1s:1.269780
Info:Lattice Sieving: Total time: 7405.42s
Info:Generate Free Relations: Total cpu/real time for freerel: 29.81/9.71811
Info:Linear Algebra: Total cpu/real time for bwc: 532.96/138.81
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 317.74, WCT time 81.35, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6016 iterations)
Info:Linear Algebra: Lingen CPU time 24.61, WCT time 6.3
Info:Linear Algebra: Mksol: CPU time 173.66,  WCT time 44.59, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3072 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.09/22.0032
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 21.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 49.37/51.1235
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 38.3s
Info:Filtering - Merging: Merged matrix has 190594 rows and total weight 32453785 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 38/10.66
Info:Filtering - Merging: Total cpu/real time for replay: 5.95/4.96248
Info:Generate Factor Base: Total cpu/real time for makefb: 0.88/0.488802
Info:Quadratic Characters: Total cpu/real time for characters: 6.18/2.41586
Info:Square Root: Total cpu/real time for sqrt: 33.99/11.0839
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 14133.4/4152.29
Info:root: Cleaning up computation data in /tmp/cado.45hd6vsr
993096481089747491169688984187378134965812922334112251865963024012568912477799551965992861133 19541039554182449173772225455196469631
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10149+8

c130

name 名前Erik Branger
date 日付June 18, 2022 15:56:24 UTC 2022 年 6 月 19 日 (日) 0 時 56 分 24 秒 (日本時間)
composite number 合成数
1629434251415194632850084782978332929755581881768768485266419525646389115078964344489530841959958459965844716539820398630115327553<130>
prime factors 素因数
692586802545646792519286162566760262053360572167061<51>
2352678747885615961012794656410175866232183098941803571185792660173712480466173<79>
factorization results 素因数分解の結果
Number: 30008_149
N = 1629434251415194632850084782978332929755581881768768485266419525646389115078964344489530841959958459965844716539820398630115327553 (130 digits)
SNFS difficulty: 150 digits.
Divisors found:
r1=692586802545646792519286162566760262053360572167061 (pp51)
r2=2352678747885615961012794656410175866232183098941803571185792660173712480466173 (pp79)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 5.78 hours.
Factorization parameters were as follows:
n: 1629434251415194632850084782978332929755581881768768485266419525646389115078964344489530841959958459965844716539820398630115327553
m: 500000000000000000000000000000
deg: 5
c5: 6
c0: 5
skew: 0.96
# Murphy_E = 2.401e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 5660786
Relations: 344632 relations
Pruned matrix : 236021 x 236246
Polynomial selection time: 0.00 hours.
Total sieving time: 5.72 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.02 hours.
time per square root: 0.00 hours.
Prototype def-par.txt line would be: snfs,150,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 5.78 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10151+8

c139

name 名前Bob Backstrom
date 日付June 13, 2022 14:45:42 UTC 2022 年 6 月 13 日 (月) 23 時 45 分 42 秒 (日本時間)
composite number 合成数
1449086455735211782654910078894654343112957268715421571458649930705261321845848808970741863737369424829641601173964966912406547772876947339<139>
prime factors 素因数
262160429055030156163645355444444258670070526216087307402323<60>
5527479722849529325095502234055333631418012064937976933413030615673199804713193<79>
factorization results 素因数分解の結果
Number: n
N=1449086455735211782654910078894654343112957268715421571458649930705261321845848808970741863737369424829641601173964966912406547772876947339  ( 139 digits)
SNFS difficulty: 151 digits.
Divisors found:

Tue Jun 14 00:38:44 2022  p60 factor: 262160429055030156163645355444444258670070526216087307402323
Tue Jun 14 00:38:44 2022  p79 factor: 5527479722849529325095502234055333631418012064937976933413030615673199804713193
Tue Jun 14 00:38:44 2022  elapsed time 00:05:19 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.353).
Factorization parameters were as follows:
#
# N = 3x10^151+8 = 30(150)8
#
n: 1449086455735211782654910078894654343112957268715421571458649930705261321845848808970741863737369424829641601173964966912406547772876947339
m: 1000000000000000000000000000000
deg: 5
c5: 15
c0: 4
skew: 0.77
# Murphy_E = 1.922e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1101789 hash collisions in 14250135 relations (14124690 unique)
Msieve: matrix is 455022 x 455265 (59.2 MB)

Sieving start time : 2022/06/14 00:06:52
Sieving end time  : 2022/06/14 00:33:09

Total sieving time: 0hrs 26min 17secs.

Total relation processing time: 0hrs 1min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 36sec.

Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10156+8

c146

name 名前Bob Backstrom
date 日付June 12, 2022 19:14:00 UTC 2022 年 6 月 13 日 (月) 4 時 14 分 0 秒 (日本時間)
composite number 合成数
13409908162444561724529200205171351719067115390577491676291294194549026392143206842074404427798709310779153820254318129453295038325551321235126769<146>
prime factors 素因数
445461630812006439155933267776288302972596455923221<51>
30103396644959993093808254384533977987809270772841727089112439210882503688903860247879646478189<95>
factorization results 素因数分解の結果
Number: n
N=13409908162444561724529200205171351719067115390577491676291294194549026392143206842074404427798709310779153820254318129453295038325551321235126769  ( 146 digits)
SNFS difficulty: 156 digits.
Divisors found:

Mon Jun 13 05:10:23 2022  p51 factor: 445461630812006439155933267776288302972596455923221
Mon Jun 13 05:10:23 2022  p95 factor: 30103396644959993093808254384533977987809270772841727089112439210882503688903860247879646478189
Mon Jun 13 05:10:23 2022  elapsed time 00:05:28 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 3x10^156+8 = 30(155)8
#
n: 13409908162444561724529200205171351719067115390577491676291294194549026392143206842074404427798709310779153820254318129453295038325551321235126769
m: 10000000000000000000000000000000
deg: 5
c5: 15
c0: 4
skew: 0.77
# Murphy_E = 1.237e-09
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1119426 hash collisions in 14071447 relations (13909931 unique)
Msieve: matrix is 348373 x 348600 (117.3 MB)

Sieving start time : 2022/06/13 04:36:09
Sieving end time  : 2022/06/13 05:04:41

Total sieving time: 0hrs 28min 32secs.

Total relation processing time: 0hrs 2min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 14sec.

Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10157+8

c110

name 名前Eric Jeancolas
date 日付June 13, 2022 11:22:41 UTC 2022 年 6 月 13 日 (月) 20 時 22 分 41 秒 (日本時間)
composite number 合成数
28210112517862279476947801029987484411157199427871145296402347838341657936604001244406671601243159519566480507<110>
prime factors 素因数
125955530728241513209649059<27>
223968827369142757938874264371835867545471672534081214680972912711858380365358828873<84>
factorization results 素因数分解の結果
28210112517862279476947801029987484411157199427871145296402347838341657936604001244406671601243159519566480507=125955530728241513209649059*223968827369142757938874264371835867545471672534081214680972912711858380365358828873

cado polynomial
n: 28210112517862279476947801029987484411157199427871145296402347838341657936604001244406671601243159519566480507
skew: 60776.152
c0: 24163790353212845159758332
c1: 10003036111214009263449
c2: 132493958540513364
c3: -5383567077401
c4: 16230392
c5: 240
Y0: -3423200056603133568040
Y1: 10754585576639
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.822e-06
# f(x) = 240*x^5+16230392*x^4-5383567077401*x^3+132493958540513364*x^2+10003036111214009263449*x+24163790353212845159758332
# g(x) = 10754585576639*x-3423200056603133568040

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: 125955530728241513209649059 223968827369142757938874264371835867545471672534081214680972912711858380365358828873
Info:Square Root: Total cpu/real time for sqrt: 75.71/29.5107
Info:Filtering - Singleton removal: Total cpu/real time for purge: 61.79/76.4271
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5149340
Info:Lattice Sieving: Average J: 1919.08 for 78784 special-q, max bucket fill -bkmult 1.0,1s:1.351770
Info:Lattice Sieving: Total time: 10433.9s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.29/1.12253
Info:Linear Algebra: Total cpu/real time for bwc: 7004.53/2498.44
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 640.39, WCT time 278.86, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (9216 iterations)
Info:Linear Algebra: Lingen CPU time 5984.64, WCT time 2057.37
Info:Linear Algebra: Mksol: CPU time 356.26,  WCT time 149.99, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (4608 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.23/22.3833
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 20.71/25.5742
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 24.499999999999996s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 250.59
Info:Polynomial Selection (root optimized): Rootsieve time: 249.6
Info:Filtering - Merging: Merged matrix has 291345 rows and total weight 45305720 (155.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 46.9/18.2722
Info:Filtering - Merging: Total cpu/real time for replay: 9.74/8.06171
Info:Quadratic Characters: Total cpu/real time for characters: 11/5.46322
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): 11870/32.030/38.846/43.920/1.080
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9174/31.210/34.434/39.270/0.865
Info:Polynomial Selection (size optimized): Total time: 704.69
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 84.51/114.022
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 83.0s
Info:Square Root: Total cpu/real time for sqrt: 75.71/29.5107
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 22220.5/8300.41
Info:root: Cleaning up computation data in /tmp/cado.ptcfeouc
125955530728241513209649059 223968827369142757938874264371835867545471672534081214680972912711858380365358828873
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10158+8

c107

name 名前Eric Jeancolas
date 日付June 13, 2022 07:06:32 UTC 2022 年 6 月 13 日 (月) 16 時 6 分 32 秒 (日本時間)
composite number 合成数
34017613262599004115886721136082384480600167310282814332586571003354043578139506495781088307886317920877319<107>
prime factors 素因数
6362028377253172910641<22>
5346976034282673654625810740294539745929114981243422967196868177284293775610245669559<85>
factorization results 素因数分解の結果
34017613262599004115886721136082384480600167310282814332586571003354043578139506495781088307886317920877319=6362028377253172910641*5346976034282673654625810740294539745929114981243422967196868177284293775610245669559

cado polynomial
n: 34017613262599004115886721136082384480600167310282814332586571003354043578139506495781088307886317920877319
skew: 13461.99
c0: -172561114831247773742475
c1: -900903706142274328375
c2: 158848949436249441
c3: 10169882389393
c4: -258596208
c5: 6660
Y0: -433773701187644601598
Y1: 24857529107911
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 2.758e-06
# f(x) = 6660*x^5-258596208*x^4+10169882389393*x^3+158848949436249441*x^2-900903706142274328375*x-172561114831247773742475
# g(x) = 24857529107911*x-433773701187644601598

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: 5346976034282673654625810740294539745929114981243422967196868177284293775610245669559 6362028377253172910641
Info:Square Root: Total cpu/real time for sqrt: 66.38/48.7014
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 76.31/121.025
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 95.20000000000002s
Info:Square Root: Total cpu/real time for sqrt: 66.38/48.7014
Info:Filtering - Singleton removal: Total cpu/real time for purge: 51.06/81.7502
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5199346
Info:Lattice Sieving: Average J: 1892.7 for 68485 special-q, max bucket fill -bkmult 1.0,1s:1.288660
Info:Lattice Sieving: Total time: 12099.9s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.51/1.1684
Info:Linear Algebra: Total cpu/real time for bwc: 995.37/870.56
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 429.36, WCT time 357.94, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7680 iterations)
Info:Linear Algebra: Lingen CPU time 309.08, WCT time 265.77
Info:Linear Algebra: Mksol: CPU time 237.81,  WCT time 229.07, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3840 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.32/40.3735
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 20.94/38.6045
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 37.300000000000004s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 175.72
Info:Polynomial Selection (root optimized): Rootsieve time: 175.09
Info:Filtering - Merging: Merged matrix has 242014 rows and total weight 35101605 (145.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 33.56/26.1137
Info:Filtering - Merging: Total cpu/real time for replay: 8.38/9.2898
Info:Quadratic Characters: Total cpu/real time for characters: 9.15/7.47102
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): 10021/31.420/37.782/43.440/1.107
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7774/29.680/33.472/38.230/0.879
Info:Polynomial Selection (size optimized): Total time: 496.35
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 13017/7580.22
Info:root: Cleaning up computation data in /tmp/cado.l2xktud3
5346976034282673654625810740294539745929114981243422967196868177284293775610245669559 6362028377253172910641
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10159+8

c144

name 名前Bob Backstrom
date 日付June 12, 2022 21:51:16 UTC 2022 年 6 月 13 日 (月) 6 時 51 分 16 秒 (日本時間)
composite number 合成数
682285002272470961338967220191689117282400402790800167278617387764520080157535535954626546620348988442295244171327970752678928765374239187671093<144>
prime factors 素因数
226792183789637004266658736169422417608261197065426961633<57>
3008414976529041883606826663489900277166136731905056743987290084324001524746204770609621<88>
factorization results 素因数分解の結果
Number: n
N=682285002272470961338967220191689117282400402790800167278617387764520080157535535954626546620348988442295244171327970752678928765374239187671093  ( 144 digits)
SNFS difficulty: 159 digits.
Divisors found:

Mon Jun 13 07:47:15 2022  p57 factor: 226792183789637004266658736169422417608261197065426961633
Mon Jun 13 07:47:15 2022  p88 factor: 3008414976529041883606826663489900277166136731905056743987290084324001524746204770609621
Mon Jun 13 07:47:15 2022  elapsed time 00:05:24 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 3x10^159+8 = 30(158)8
#
n: 682285002272470961338967220191689117282400402790800167278617387764520080157535535954626546620348988442295244171327970752678928765374239187671093
m: 50000000000000000000000000000000
deg: 5
c5: 6
c0: 5
skew: 0.96
# Murphy_E = 9.935e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 997326 hash collisions in 12727757 relations (12573759 unique)
Msieve: matrix is 395875 x 396110 (133.6 MB)

Sieving start time : 2022/06/13 07:08:08
Sieving end time  : 2022/06/13 07:41:14

Total sieving time: 0hrs 33min 6secs.

Total relation processing time: 0hrs 2min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 17sec.

Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10160+8

c115

name 名前Eric Jeancolas
date 日付June 18, 2022 05:02:45 UTC 2022 年 6 月 18 日 (土) 14 時 2 分 45 秒 (日本時間)
composite number 合成数
6116090346298994238584479889897682207200562784733920857713375894611588155807356842553530523059135121408582274455051<115>
prime factors 素因数
31054908366938869534795370316369963823<38>
196944401639587473250526217054088707662112501781428087669082379872637363723237<78>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 6116090346298994238584479889897682207200562784733920857713375894611588155807356842553530523059135121408582274455051 (115 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3465225763
Step 1 took 1821ms
Step 2 took 1406ms
********** Factor found in step 2: 31054908366938869534795370316369963823
Found prime factor of 38 digits: 31054908366938869534795370316369963823
Prime cofactor 196944401639587473250526217054088707662112501781428087669082379872637363723237 has 78 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10162+8

c146

name 名前Bob Backstrom
date 日付June 19, 2022 09:05:09 UTC 2022 年 6 月 19 日 (日) 18 時 5 分 9 秒 (日本時間)
composite number 合成数
16466629574181152148486867734030281271200319736031251524765188830759404706733827390362041690443969512288771857978464512380723156339605820136155037<146>
prime factors 素因数
17312758161330284475417238769889421528578271523<47>
527079214077288846527506262946042115867544906953<48>
1804523589578875024000376273739531432696144730343623<52>
factorization results 素因数分解の結果
Number: n
N=16466629574181152148486867734030281271200319736031251524765188830759404706733827390362041690443969512288771857978464512380723156339605820136155037  ( 146 digits)
SNFS difficulty: 161 digits.
Divisors found:

Sun Jun 19 18:18:04 2022  found factor: 527079214077288846527506262946042115867544906953
Sun Jun 19 18:18:29 2022  p47 factor: 17312758161330284475417238769889421528578271523
Sun Jun 19 18:18:29 2022  p48 factor: 527079214077288846527506262946042115867544906953
Sun Jun 19 18:18:29 2022  p52 factor: 1804523589578875024000376273739531432696144730343623
Sun Jun 19 18:18:29 2022  elapsed time 00:07:03 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 3x10^162+8 = 30(161)8
#
n: 16466629574181152148486867734030281271200319736031251524765188830759404706733827390362041690443969512288771857978464512380723156339605820136155037
m: 100000000000000000000000000000000
deg: 5
c5: 75
c0: 2
skew: 0.48
# Murphy_E = 6.56e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1006072 hash collisions in 12776195 relations (12619974 unique)
Msieve: matrix is 452292 x 452519 (153.9 MB)

Sieving start time : 2022/06/19 17:33:58
Sieving end time  : 2022/06/19 18:11:12

Total sieving time: 0hrs 37min 14secs.

Total relation processing time: 0hrs 3min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 50sec.

Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10163+8

c126

name 名前Eric Jeancolas
date 日付June 18, 2022 09:55:36 UTC 2022 年 6 月 18 日 (土) 18 時 55 分 36 秒 (日本時間)
composite number 合成数
101148423520604981235347189017033861287075289749222994700840460456769136150017542869340783616948434571980020872315235430029063<126>
prime factors 素因数
5092002524242919041829357<25>
147784509307210207484700956694992032487795627419<48>
134413098974414139538311694221966954069208871109181561<54>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 101148423520604981235347189017033861287075289749222994700840460456769136150017542869340783616948434571980020872315235430029063 (126 digits)
Using B1=100000, B2=40868532, polynomial x^2, sigma=1:3334814537
Step 1 took 284ms
Step 2 took 204ms
********** Factor found in step 2: 5092002524242919041829357
Found prime factor of 25 digits: 5092002524242919041829357
Composite cofactor 19864173876395273198918293596080329157143154552262167682403406262093599371342599367985873999580821059 has 101 digits

cado polynomial
n: 19864173876395273198918293596080329157143154552262167682403406262093599371342599367985873999580821059
skew: 355444.807
c0: -331156764370625917088327068
c1: 478022858842479588025
c2: 18064674499291929
c3: -4550104106
c4: -30000
Y0: -1072740104812432996036598
Y1: 19222201751987
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=2.206e+12) = 2.360e-06
# f(x) = -30000*x^4-4550104106*x^3+18064674499291929*x^2+478022858842479588025*x-331156764370625917088327068
# g(x) = 19222201751987*x-1072740104812432996036598

cado parameters (extracts)
tasks.lim0 = 919082
tasks.lim1 = 1051872
tasks.lpb0 = 24
tasks.lpb1 = 25
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 50
tasks.I = 11
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 147784509307210207484700956694992032487795627419 134413098974414139538311694221966954069208871109181561
Info:Square Root: Total cpu/real time for sqrt: 446.1/53.718
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 5781.44
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 5974/33.480/38.298/39.120/0.676
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 3457/33.210/36.768/39.090/0.965
Info:Polynomial Selection (size optimized): Total time: 109.33
Info:Generate Factor Base: Total cpu/real time for makefb: 1.02/0.159312
Info:Generate Free Relations: Total cpu/real time for freerel: 28.38/3.623
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 57.08/53.3388
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 43.800000000000004s
Info:Quadratic Characters: Total cpu/real time for characters: 7.95/2.25254
Info:Square Root: Total cpu/real time for sqrt: 446.1/53.718
Info:Linear Algebra: Total cpu/real time for bwc: 32906.3/3848.69
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 921.06, WCT time 193.32, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (6400 iterations)
Info:Linear Algebra: Lingen CPU time 31637.42, WCT time 3568.14
Info:Linear Algebra: Mksol: CPU time 316.21,  WCT time 77.98, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (3200 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2449610
Info:Lattice Sieving: Average J: 1005.83 for 105233 special-q, max bucket fill -bkmult 1.0,1s:1.318470
Info:Lattice Sieving: Total time: 11142.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 32.36/35.6206
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 25/24.1782
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.5s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 77.14
Info:Polynomial Selection (root optimized): Rootsieve time: 76.74
Info:Filtering - Merging: Merged matrix has 202496 rows and total weight 34557397 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 114.22/16.0309
Info:Filtering - Merging: Total cpu/real time for replay: 8.83/6.98134
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 50348.5/5976.39
Info:root: Cleaning up computation data in /tmp/cado.2zaylysh
147784509307210207484700956694992032487795627419 134413098974414139538311694221966954069208871109181561
software ソフトウェア
GMP-ECM 7.0.4 for P25
cado-nfs-3.0.0 for P48 × P54
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10165+8

c135

name 名前Eric Jeancolas
date 日付June 18, 2022 09:22:30 UTC 2022 年 6 月 18 日 (土) 18 時 22 分 30 秒 (日本時間)
composite number 合成数
122836759741334557529604303864342049527659488839823401295958731217489212481664260086229694695369437404492336859672241138857926608939897<135>
prime factors 素因数
50824842722988705871<20>
22452661314736664956013<23>
107642675338474025652323936969710310149547568012339551308774401257332913118307516744752729139<93>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 122836759741334557529604303864342049527659488839823401295958731217489212481664260086229694695369437404492336859672241138857926608939897 (135 digits)
Using B1=10000, B2=1873422, polynomial x^1, sigma=1:214607098
Step 1 took 45ms
Step 2 took 49ms
********** Factor found in step 2: 50824842722988705871
Found prime factor of 20 digits: 50824842722988705871
Composite cofactor 2416864532386914198251115881789701317140706865053109164944298309270130108073519848706311971522926358805743138362807 has 115 digits

Using B1=10000, B2=1873422, polynomial x^1, sigma=1:2949939505
Step 1 took 38ms
Step 2 took 42ms
********** Factor found in step 2: 22452661314736664956013
Found prime factor of 23 digits: 22452661314736664956013
Prime cofactor 107642675338474025652323936969710310149547568012339551308774401257332913118307516744752729139 has 93 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10166+8

c146

name 名前Bob Backstrom
date 日付June 19, 2022 07:40:21 UTC 2022 年 6 月 19 日 (日) 16 時 40 分 21 秒 (日本時間)
composite number 合成数
25462940746026356627720099091019813052953901023632204116734103182891897336226309066039056189227208146049868926487594618591656356694385194372153901<146>
prime factors 素因数
19031178792954650087474042143096921576615374845021<50>
1337959199639948070787223533231243315698098204581680985108232885971708810035670651478577128843281<97>
factorization results 素因数分解の結果
Number: n
N=25462940746026356627720099091019813052953901023632204116734103182891897336226309066039056189227208146049868926487594618591656356694385194372153901  ( 146 digits)
SNFS difficulty: 166 digits.
Divisors found:

Sun Jun 19 16:34:11 2022  p50 factor: 19031178792954650087474042143096921576615374845021
Sun Jun 19 16:34:11 2022  p97 factor: 1337959199639948070787223533231243315698098204581680985108232885971708810035670651478577128843281
Sun Jun 19 16:34:11 2022  elapsed time 00:07:55 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.307).
Factorization parameters were as follows:
#
# N = 3x10^166+8 = 30(165)8
#
n: 25462940746026356627720099091019813052953901023632204116734103182891897336226309066039056189227208146049868926487594618591656356694385194372153901
m: 1000000000000000000000000000000000
deg: 5
c5: 15
c0: 4
skew: 0.77
# Murphy_E = 5.053e-10
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1158901 hash collisions in 13372912 relations (13089213 unique)
Msieve: matrix is 494938 x 495163 (170.9 MB)

Sieving start time : 2022/06/19 15:45:42
Sieving end time  : 2022/06/19 16:26:02

Total sieving time: 0hrs 40min 20secs.

Total relation processing time: 0hrs 3min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 51sec.

Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10168+8

c130

name 名前Eric Jeancolas
date 日付June 21, 2022 19:46:46 UTC 2022 年 6 月 22 日 (水) 4 時 46 分 46 秒 (日本時間)
composite number 合成数
3369048327307102160480013349610393172820116975673680034047084748520389870333633549440998298586823274714327190516858010475878106481<130>
prime factors 素因数
14707613437197613656174233402783834272624020868942469928874969<62>
229068321770431307801121851922311143322078098109631569549040210057049<69>
factorization results 素因数分解の結果
3369048327307102160480013349610393172820116975673680034047084748520389870333633549440998298586823274714327190516858010475878106481=14707613437197613656174233402783834272624020868942469928874969*229068321770431307801121851922311143322078098109631569549040210057049

cado polynomial
n: 3369048327307102160480013349610393172820116975673680034047084748520389870333633549440998298586823274714327190516858010475878106481
skew: 0.31
type: snfs
c0: 1
c5: 375
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 375*x^5+1
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4300000
tasks.lim1 = 4300000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 229068321770431307801121851922311143322078098109631569549040210057049 14707613437197613656174233402783834272624020868942469928874969
Info:Square Root: Total cpu/real time for sqrt: 174.29/54.0131
Info:Filtering - Singleton removal: Total cpu/real time for purge: 73.15/70.2695
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11700240
Info:Lattice Sieving: Average J: 1892.96 for 302118 special-q, max bucket fill -bkmult 1.0,1s:1.242420
Info:Lattice Sieving: Total time: 39530.6s
Info:Linear Algebra: Total cpu/real time for bwc: 3632.01/935.59
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2271.81, WCT time 580.88, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15616 iterations)
Info:Linear Algebra: Lingen CPU time 78.78, WCT time 20.12
Info:Linear Algebra: Mksol: CPU time 1234.81,  WCT time 315.21, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7808 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 59.57/16.828
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.47/49.8044
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 49.7s
Info:Filtering - Merging: Merged matrix has 495635 rows and total weight 84371359 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 104.27/29.312
Info:Filtering - Merging: Total cpu/real time for replay: 16.25/13.6205
Info:Generate Factor Base: Total cpu/real time for makefb: 1.86/1.02377
Info:Quadratic Characters: Total cpu/real time for characters: 16.15/6.35525
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 104.09/90.0712
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 81.2s
Info:Square Root: Total cpu/real time for sqrt: 174.29/54.0131
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 77092.3/21113.8
Info:root: Cleaning up computation data in /tmp/cado.oe8bsoq7
229068321770431307801121851922311143322078098109631569549040210057049 14707613437197613656174233402783834272624020868942469928874969
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10170+8

c155

name 名前Bob Backstrom
date 日付June 15, 2022 02:25:41 UTC 2022 年 6 月 15 日 (水) 11 時 25 分 41 秒 (日本時間)
composite number 合成数
51515633345804755054480079364601214784373733323904980636325553839924204858020141679496739917878490712933379028712686049360230605632101823571889619052029973<155>
prime factors 素因数
137126308721011275812407783<27>
375680158142485138116310648932393238021334064782868083936117671976618426743666489634548187091339293944036766183326282822279648931<129>
factorization results 素因数分解の結果
Number: n
N=51515633345804755054480079364601214784373733323904980636325553839924204858020141679496739917878490712933379028712686049360230605632101823571889619052029973  ( 155 digits)
SNFS difficulty: 170 digits.
Divisors found:

Wed Jun 15 12:21:09 2022  p27 factor: 137126308721011275812407783
Wed Jun 15 12:21:09 2022  p129 factor: 375680158142485138116310648932393238021334064782868083936117671976618426743666489634548187091339293944036766183326282822279648931
Wed Jun 15 12:21:09 2022  elapsed time 00:10:43 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.312).
Factorization parameters were as follows:
#
# N = 3x10^170+8 = 30(169)8
#
n: 51515633345804755054480079364601214784373733323904980636325553839924204858020141679496739917878490712933379028712686049360230605632101823571889619052029973
m: 10000000000000000000000000000000000
deg: 5
c5: 3
c0: 8
skew: 1.22
# Murphy_E = 3.405e-10
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1003798 hash collisions in 12214684 relations (12007181 unique)
Msieve: matrix is 667561 x 667786 (230.7 MB)

Sieving start time : 2022/06/15 11:19:57
Sieving end time  : 2022/06/15 12:10:12

Total sieving time: 0hrs 50min 15secs.

Total relation processing time: 0hrs 6min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 15sec.

Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10171+8

c128

name 名前Eric Jeancolas
date 日付June 19, 2022 07:47:48 UTC 2022 年 6 月 19 日 (日) 16 時 47 分 48 秒 (日本時間)
composite number 合成数
57035002851027100076551679658462836957557925874328502616844058922128459823654804579238719354616621461667038459467056611116428549<128>
prime factors 素因数
134563772306771211601706350648337<33>
3370701799020055068892107519566849390731<40>
125745653224893808193547327386348768053444984957080715967<57>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]

Input number is 57035002851027100076551679658462836957557925874328502616844058922128459823654804579238719354616621461667038459467056611116428549 (128 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1098969113
Step 1 took 1360ms
Step 2 took 914ms
********** Factor found in step 2: 134563772306771211601706350648337
Found prime factor of 33 digits: 134563772306771211601706350648337
Composite cofactor 423851099544101548600259224023681520514742264297791006097178610224028196328612719903283213501877 has 96 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2922902271
Step 1 took 842ms
Step 2 took 670ms
********** Factor found in step 2: 3370701799020055068892107519566849390731
Found prime factor of 40 digits: 3370701799020055068892107519566849390731
Prime cofactor 125745653224893808193547327386348768053444984957080715967 has 57 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10173+8

c160

name 名前Bob Backstrom
date 日付June 14, 2022 03:55:03 UTC 2022 年 6 月 14 日 (火) 12 時 55 分 3 秒 (日本時間)
composite number 合成数
3384275285015833970135250851494617082879963042807197861987065337342375613855374968432591684027828943806977846165379581245796108022781415474438438299934794944929<160>
prime factors 素因数
187839374044674088338863870304300342740203583023346278368202429698673879<72>
18016857765991848304970317137713811798126137886753664750064495679195328164729587179834951<89>
factorization results 素因数分解の結果
Number: n
N=3384275285015833970135250851494617082879963042807197861987065337342375613855374968432591684027828943806977846165379581245796108022781415474438438299934794944929  ( 160 digits)
SNFS difficulty: 172 digits.
Divisors found:

Tue Jun 14 13:48:38 2022  p72 factor: 187839374044674088338863870304300342740203583023346278368202429698673879
Tue Jun 14 13:48:38 2022  p89 factor: 18016857765991848304970317137713811798126137886753664750064495679195328164729587179834951
Tue Jun 14 13:48:38 2022  elapsed time 00:14:56 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 3x10^173+8 = 30(172)8
#
n: 3384275285015833970135250851494617082879963042807197861987065337342375613855374968432591684027828943806977846165379581245796108022781415474438438299934794944929
m: 10000000000000000000000000000000000
deg: 5
c5: 375
c0: 1
skew: 0.31
# Murphy_E = 2.594e-10
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1122031 hash collisions in 11727590 relations (11329982 unique)
Msieve: matrix is 739466 x 739692 (257.5 MB)

Sieving start time : 2022/06/14 12:13:42
Sieving end time  : 2022/06/14 13:33:07

Total sieving time: 1hrs 19min 25secs.

Total relation processing time: 0hrs 8min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 38sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10174+8

c164

name 名前Bob Backstrom
date 日付June 14, 2022 17:51:01 UTC 2022 年 6 月 15 日 (水) 2 時 51 分 1 秒 (日本時間)
composite number 合成数
32067925586969067326952426315762146410696645601952413046054538522896585709038403583678353776624635621129885126310313002017469221038482200207520234743249197492016933<164>
prime factors 素因数
7564432378442199376404378601273800221<37>
163182134859324726107409925649181427570165508890407681669437<60>
25978969000103428520107051343432579421021257820598825392845439537629<68>
factorization results 素因数分解の結果
Number: n
N=32067925586969067326952426315762146410696645601952413046054538522896585709038403583678353776624635621129885126310313002017469221038482200207520234743249197492016933  ( 164 digits)
SNFS difficulty: 174 digits.
Divisors found:

Tue Jun 14 14:36:16 2022  found factor: 25978969000103428520107051343432579421021257820598825392845439537629
Tue Jun 14 14:36:53 2022  found factor: 25978969000103428520107051343432579421021257820598825392845439537629
Tue Jun 14 14:38:06 2022  found factor: 25978969000103428520107051343432579421021257820598825392845439537629
Tue Jun 14 14:38:44 2022  p37 factor: 7564432378442199376404378601273800221
Tue Jun 14 14:38:44 2022  p60 factor: 163182134859324726107409925649181427570165508890407681669437
Tue Jun 14 14:38:44 2022  p68 factor: 25978969000103428520107051343432579421021257820598825392845439537629
Tue Jun 14 14:38:44 2022  elapsed time 00:12:49 (Msieve 1.54 - dependency 5)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 3x10^174+8 = 30(173)8
#
n: 32067925586969067326952426315762146410696645601952413046054538522896585709038403583678353776624635621129885126310313002017469221038482200207520234743249197492016933
m: 50000000000000000000000000000000000
deg: 5
c5: 6
c0: 5
skew: 0.96
# Murphy_E = 2.549e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8400000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 1384005 hash collisions in 13409167 relations (12848855 unique)
Msieve: matrix is 667981 x 668207 (233.5 MB)

Sieving start time : 2022/06/14 13:51:02
Sieving end time  : 2022/06/14 14:25:39

Total sieving time: 0hrs 34min 37secs.

Total relation processing time: 0hrs 6min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 5sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10175+8

c165

name 名前Bob Backstrom
date 日付June 14, 2022 00:37:52 UTC 2022 年 6 月 14 日 (火) 9 時 37 分 52 秒 (日本時間)
composite number 合成数
211760841144360331245747169263281140723332587441440339565716549318768793270307825320579871144317608072524612277731648740439381944737125769535063847380730825049665079<165>
prime factors 素因数
12829229298495593776098974284340282279429056962960337853<56>
16506123338928258607811212888497600507646611292915480323903432382766302940285238211393726670906117870220035843<110>
factorization results 素因数分解の結果
Number: n
N=211760841144360331245747169263281140723332587441440339565716549318768793270307825320579871144317608072524612277731648740439381944737125769535063847380730825049665079  ( 165 digits)
SNFS difficulty: 175 digits.
Divisors found:

Tue Jun 14 10:31:18 2022  p56 factor: 12829229298495593776098974284340282279429056962960337853
Tue Jun 14 10:31:18 2022  p110 factor: 16506123338928258607811212888497600507646611292915480323903432382766302940285238211393726670906117870220035843
Tue Jun 14 10:31:18 2022  elapsed time 00:13:51 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 3x10^175+8 = 30(174)8
#
n: 211760841144360331245747169263281140723332587441440339565716549318768793270307825320579871144317608072524612277731648740439381944737125769535063847380730825049665079
m: 100000000000000000000000000000000000
deg: 5
c5: 3
c0: 8
skew: 1.22
# Murphy_E = 2.151e-10
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4139829 hash collisions in 30576061 relations (28073540 unique)
Msieve: matrix is 673293 x 673519 (225.4 MB)

Sieving start time : 2022/06/14 09:03:22
Sieving end time  : 2022/06/14 10:16:59

Total sieving time: 1hrs 13min 37secs.

Total relation processing time: 0hrs 6min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 29sec.

Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10176+8

c146

name 名前Bob Backstrom
date 日付June 15, 2022 07:37:18 UTC 2022 年 6 月 15 日 (水) 16 時 37 分 18 秒 (日本時間)
composite number 合成数
56662614348629715189635971538525705971751248804413005392391407046036278531300304043639964179378232907662573139679525485008795527142061392908127081<146>
prime factors 素因数
3137760119697282112213625384105778253654801<43>
2697153347240469867028079077015009580001281929<46>
6695318331371170734103589654083696701275291330945657185489<58>
factorization results 素因数分解の結果
Number: n
N=56662614348629715189635971538525705971751248804413005392391407046036278531300304043639964179378232907662573139679525485008795527142061392908127081  ( 146 digits)
SNFS difficulty: 176 digits.
Divisors found:

Wed Jun 15 17:32:54 2022  found factor: 3137760119697282112213625384105778253654801
Wed Jun 15 17:33:27 2022  p43 factor: 3137760119697282112213625384105778253654801
Wed Jun 15 17:33:27 2022  p46 factor: 2697153347240469867028079077015009580001281929
Wed Jun 15 17:33:27 2022  p58 factor: 6695318331371170734103589654083696701275291330945657185489
Wed Jun 15 17:33:27 2022  elapsed time 00:15:35 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 3x10^176+8 = 30(175)8
#
n: 56662614348629715189635971538525705971751248804413005392391407046036278531300304043639964179378232907662573139679525485008795527142061392908127081
m: 100000000000000000000000000000000000
deg: 5
c5: 15
c0: 4
skew: 0.77
# Murphy_E = 2.024e-10
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3745993 hash collisions in 30769180 relations (28798490 unique)
Msieve: matrix is 701081 x 701308 (239.1 MB)

Sieving start time : 2022/06/15 16:04:46
Sieving end time  : 2022/06/15 17:17:26

Total sieving time: 1hrs 12min 40secs.

Total relation processing time: 0hrs 7min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 7sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 14, 2022 17:33:41 UTC 2022 年 6 月 15 日 (水) 2 時 33 分 41 秒 (日本時間)

3×10178+8

c177

name 名前Bob Backstrom
date 日付June 17, 2022 12:02:31 UTC 2022 年 6 月 17 日 (金) 21 時 2 分 31 秒 (日本時間)
composite number 合成数
340909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909091<177>
prime factors 素因数
46853332144491179049289750091911985620320247111<47>
7276090628042419595165029733396106704318972433097356766246433337431705420580876848023419009766198592198861039297450405932952362181<130>
factorization results 素因数分解の結果
Number: n
N=340909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909091  ( 177 digits)
SNFS difficulty: 177 digits.
Divisors found:

Fri Jun 17 21:58:42 2022  p47 factor: 46853332144491179049289750091911985620320247111
Fri Jun 17 21:58:42 2022  p130 factor: 7276090628042419595165029733396106704318972433097356766246433337431705420580876848023419009766198592198861039297450405932952362181
Fri Jun 17 21:58:42 2022  elapsed time 00:18:20 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 3x10^178+8 = 30(177)8
#
n: 340909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909091
m: 100000000000000000000000000000000000
deg: 5
c5: 375
c0: 1
skew: 0.31
# Murphy_E = 1.636e-10
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4020663 hash collisions in 30993329 relations (28690246 unique)
Msieve: matrix is 771457 x 771683 (262.6 MB)

Sieving start time : 2022/06/17 20:25:05
Sieving end time  : 2022/06/17 21:39:54

Total sieving time: 1hrs 14min 49secs.

Total relation processing time: 0hrs 9min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 7sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 15, 2022 15:34:27 UTC 2022 年 6 月 16 日 (木) 0 時 34 分 27 秒 (日本時間)

3×10179+8

c173

name 名前Ignacio Santos
date 日付June 15, 2022 19:42:47 UTC 2022 年 6 月 16 日 (木) 4 時 42 分 47 秒 (日本時間)
composite number 合成数
36394587202886721604700433726427225868690270416635529075393085804849311851145167817867898324199100714013274804366962255416242467533601909211518547166899753778486043403699437<173>
prime factors 素因数
1763819250237558136500715834939269525829<40>
composite cofactor 合成数の残り
20633966432776462208535106037082119219617944126471235769122967284274447735473153874030735308503061426487753746732648260080217749404553<134>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1250352915
Step 1 took 7171ms
Step 2 took 4110ms
********** Factor found in step 2: 1763819250237558136500715834939269525829
Found prime factor of 40 digits: 1763819250237558136500715834939269525829
Composite cofactor 20633966432776462208535106037082119219617944126471235769122967284274447735473153874030735308503061426487753746732648260080217749404553 has 134 digits
 
software ソフトウェア
GMP-ECM

c134

name 名前Ignacio Santos
date 日付June 16, 2022 14:52:53 UTC 2022 年 6 月 16 日 (木) 23 時 52 分 53 秒 (日本時間)
composite number 合成数
20633966432776462208535106037082119219617944126471235769122967284274447735473153874030735308503061426487753746732648260080217749404553<134>
prime factors 素因数
73970889211430674297454471395700008849<38>
278947118964576520805670488827065882188393614659232246589332498957320335702574417445846443083897<96>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4193693456
Step 1 took 4875ms
Step 2 took 3172ms
********** Factor found in step 2: 73970889211430674297454471395700008849
Found prime factor of 38 digits: 73970889211430674297454471395700008849
Prime cofactor 278947118964576520805670488827065882188393614659232246589332498957320335702574417445846443083897 has 96 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10180+8

c167

name 名前Erik Branger
date 日付June 14, 2022 16:30:05 UTC 2022 年 6 月 15 日 (水) 1 時 30 分 5 秒 (日本時間)
composite number 合成数
10546154805534609518861011546385548281075260658760155059379088844499470467601336862201444111102360919881515491307240035994387275017224649549630799656817827679693431533<167>
prime factors 素因数
2871544661272639809210559521973418035340586749<46>
3672641748452088996871881932987880047280285155505420081603749887974376076457287258961931669281433257792112676078869143217<121>
factorization results 素因数分解の結果
Number: 30008_180
N = 10546154805534609518861011546385548281075260658760155059379088844499470467601336862201444111102360919881515491307240035994387275017224649549630799656817827679693431533 (167 digits)
SNFS difficulty: 181 digits.
Divisors found:
r1=2871544661272639809210559521973418035340586749 (pp46)
r2=3672641748452088996871881932987880047280285155505420081603749887974376076457287258961931669281433257792112676078869143217 (pp121)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 8.84 hours.
Factorization parameters were as follows:
n: 10546154805534609518861011546385548281075260658760155059379088844499470467601336862201444111102360919881515491307240035994387275017224649549630799656817827679693431533 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 3
c3: 3
c0: 8
skew: 1.00
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
maxa: 10000000
maxb: 10000000
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 16659516
Relations: 4259966 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 1.43 hours.
Total relation processing time: 0.26 hours.
Pruned matrix : 3281416 x 3281664
Matrix solve time: 6.93 hours.
time per square root: 0.22 hours.
Prototype def-par.txt line would be: snfs,181,3,0,0,0,0,0,0,0,0,10000000,10000000,29,26,58,52,2.8,2.8,100000
total time: 8.84 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10181+8

c180

name 名前Bob Backstrom
date 日付June 16, 2022 22:53:24 UTC 2022 年 6 月 17 日 (金) 7 時 53 分 24 秒 (日本時間)
composite number 合成数
197368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631579<180>
prime factors 素因数
8943632099155230379340006544684190288137707458639298764860282199075907<70>
22068038897896301861058692253169682225914577647141020308819165898060152340395287081804585367125097392570349897<110>
factorization results 素因数分解の結果
Number: n
N=197368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631579  ( 180 digits)
SNFS difficulty: 181 digits.
Divisors found:

Fri Jun 17 08:48:39 2022  p70 factor: 8943632099155230379340006544684190288137707458639298764860282199075907
Fri Jun 17 08:48:39 2022  p110 factor: 22068038897896301861058692253169682225914577647141020308819165898060152340395287081804585367125097392570349897
Fri Jun 17 08:48:39 2022  elapsed time 00:16:59 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 3x10^181+8 = 30(180)8
#
n: 197368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631579
m: 1000000000000000000000000000000000000
deg: 5
c5: 15
c0: 4
skew: 0.77
# Murphy_E = 1.272e-10
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2812004 hash collisions in 29675947 relations (28780816 unique)
Msieve: matrix is 791389 x 791613 (269.4 MB)

Sieving start time : 2022/06/17 06:21:16
Sieving end time  : 2022/06/17 08:31:12

Total sieving time: 2hrs 9min 56secs.

Total relation processing time: 0hrs 9min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 44sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 15, 2022 19:49:40 UTC 2022 年 6 月 16 日 (木) 4 時 49 分 40 秒 (日本時間)

3×10182+8

c136

name 名前Bob Backstrom
date 日付June 22, 2022 18:06:41 UTC 2022 年 6 月 23 日 (木) 3 時 6 分 41 秒 (日本時間)
composite number 合成数
5229064461770243538206803960413918587571079645899349976303718996091933037114355505183277090378367846005500777465573590998105434711517669<136>
prime factors 素因数
877337540439776482061905579371975200561719<42>
5960151276724245923834787675900410668003071532962231770923185636338530673967649736195212730051<94>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 5229064461770243538206803960413918587571079645899349976303718996091933037114355505183277090378367846005500777465573590998105434711517669 (136 digits)
Using B1=26570000, B2=144285831706, polynomial Dickson(12), sigma=1:1229242808
Step 1 took 49389ms
Step 2 took 19718ms
********** Factor found in step 2: 877337540439776482061905579371975200561719
Found prime factor of 42 digits: 877337540439776482061905579371975200561719
Prime cofactor 5960151276724245923834787675900410668003071532962231770923185636338530673967649736195212730051 has 94 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 16, 2022 14:54:19 UTC 2022 年 6 月 16 日 (木) 23 時 54 分 19 秒 (日本時間)

3×10183+8

c145

name 名前Eric Jeancolas
date 日付June 28, 2022 07:02:23 UTC 2022 年 6 月 28 日 (火) 16 時 2 分 23 秒 (日本時間)
composite number 合成数
7885124108744178708303788725143234374824700782599123007606548627279770368920299974615713617733114198835679523399661545877445247836331429907276459<145>
prime factors 素因数
637602701973105891377856551584991076088726454519849168489345307511517<69>
12366829821051752024762776755794124433667077051105365919344546810927943071527<77>
factorization results 素因数分解の結果
7885124108744178708303788725143234374824700782599123007606548627279770368920299974615713617733114198835679523399661545877445247836331429907276459=637602701973105891377856551584991076088726454519849168489345307511517*12366829821051752024762776755794124433667077051105365919344546810927943071527

cado polynomial
n: 7885124108744178708303788725143234374824700782599123007606548627279770368920299974615713617733114198835679523399661545877445247836331429907276459
skew: 0.31
type: snfs
c0: 1
c5: 375
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 375*x^5+1
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7700000
tasks.lim1 = 7700000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 12366829821051752024762776755794124433667077051105365919344546810927943071527 637602701973105891377856551584991076088726454519849168489345307511517
Info:Square Root: Total cpu/real time for sqrt: 460.64/140.548
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22414978
Info:Lattice Sieving: Average J: 1894.02 for 893525 special-q, max bucket fill -bkmult 1.0,1s:1.166150
Info:Lattice Sieving: Total time: 157202s
Info:Generate Free Relations: Total cpu/real time for freerel: 118.46/30.9151
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.49/102.242
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 102.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 216.12/184.883
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 168.3s
Info:Filtering - Merging: Merged matrix has 1049017 rows and total weight 178634246 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 256.01/71.274
Info:Filtering - Merging: Total cpu/real time for replay: 36.68/31.1384
Info:Linear Algebra: Total cpu/real time for bwc: 17029.2/4373.04
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 10784.45, WCT time 2760.02, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (33024 iterations)
Info:Linear Algebra: Lingen CPU time 213.4, WCT time 53.99
Info:Linear Algebra: Mksol: CPU time 5859.08,  WCT time 1495.78, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16640 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.28/1.90682
Info:Quadratic Characters: Total cpu/real time for characters: 34.99/13.8637
Info:Square Root: Total cpu/real time for sqrt: 460.64/140.548
Info:Filtering - Singleton removal: Total cpu/real time for purge: 126.93/127.668
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 311744/84078.7
Info:root: Cleaning up computation data in /tmp/cado.v5lonuez
12366829821051752024762776755794124433667077051105365919344546810927943071527 637602701973105891377856551584991076088726454519849168489345307511517
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 16, 2022 15:08:32 UTC 2022 年 6 月 17 日 (金) 0 時 8 分 32 秒 (日本時間)

3×10184+8

c152

name 名前Ignacio Santos
date 日付June 18, 2022 08:12:20 UTC 2022 年 6 月 18 日 (土) 17 時 12 分 20 秒 (日本時間)
composite number 合成数
60159255126314892390887237417396111921453438740950443444462398416115993586762232802307213935332813325544427958940514254568660873660804729504208037261161<152>
prime factors 素因数
1519694441775132206152633295109101486479<40>
39586415184912943334857908282013957309641681593021230859222406356213564442187338875569507662238591386999789409159<113>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3972941269
Step 1 took 5907ms
Step 2 took 3484ms
********** Factor found in step 2: 1519694441775132206152633295109101486479
Found prime factor of 40 digits: 1519694441775132206152633295109101486479
Prime cofactor 39586415184912943334857908282013957309641681593021230859222406356213564442187338875569507662238591386999789409159 has 113 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10185+8

c157

name 名前Ignacio Santos
date 日付June 18, 2022 19:47:20 UTC 2022 年 6 月 19 日 (日) 4 時 47 分 20 秒 (日本時間)
composite number 合成数
1713216695767849406208862056021969168421418585265949523063939588476257893369395535690647171547545984499704243575691745386290913233714149839022443307278994539<157>
prime factors 素因数
226767711208988465695209203<27>
composite cofactor 合成数の残り
7554941074432567089083879984115473084485415468545063394728157102019017849089441547736097424693367498452570831134643124295469638313<130>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1180559421
Step 1 took 4968ms
********** Factor found in step 2: 226767711208988465695209203
Found prime factor of 27 digits: 226767711208988465695209203
Composite cofactor 7554941074432567089083879984115473084485415468545063394728157102019017849089441547736097424693367498452570831134643124295469638313 has 130 digits
 
software ソフトウェア
GMP-ECM

c130

name 名前Eric Jeancolas
date 日付July 9, 2022 05:01:21 UTC 2022 年 7 月 9 日 (土) 14 時 1 分 21 秒 (日本時間)
composite number 合成数
7554941074432567089083879984115473084485415468545063394728157102019017849089441547736097424693367498452570831134643124295469638313<130>
prime factors 素因数
399351812681520159574652941039287215951447181177901<51>
18918008719438495418113893137436196229866551547904630065513220940164453886085613<80>
factorization results 素因数分解の結果
7554941074432567089083879984115473084485415468545063394728157102019017849089441547736097424693367498452570831134643124295469638313=399351812681520159574652941039287215951447181177901*18918008719438495418113893137436196229866551547904630065513220940164453886085613

cado polynomial
n: 7554941074432567089083879984115473084485415468545063394728157102019017849089441547736097424693367498452570831134643124295469638313
skew: 26553.733
c0: 7915046799852961737908536415
c1: 57940874296410153704279
c2: -47488555263022857155
c3: -649112950261291
c4: 7333659020
c5: 649020
Y0: -6499503927787384083502236
Y1: 2150214531118166299
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.745e-07
# f(x) = 649020*x^5+7333659020*x^4-649112950261291*x^3-47488555263022857155*x^2+57940874296410153704279*x+7915046799852961737908536415
# g(x) = 2150214531118166299*x-6499503927787384083502236

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

cado log (extracts)
Info:Square Root: Factors: 18918008719438495418113893137436196229866551547904630065513220940164453886085613 399351812681520159574652941039287215951447181177901
Info:Square Root: Total cpu/real time for sqrt: 1452.14/434.215
Info:Filtering - Singleton removal: Total cpu/real time for purge: 206.09/229.35
Info:Linear Algebra: Total cpu/real time for bwc: 51733.3/13273.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 33137.79, WCT time 8461.18, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (55552 iterations)
Info:Linear Algebra: Lingen CPU time 347.59, WCT time 88.29
Info:Linear Algebra: Mksol: CPU time 17924.23,  WCT time 4597.45, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27648 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23874233
Info:Lattice Sieving: Average J: 7627.42 for 64767 special-q, max bucket fill -bkmult 1.0,1s:1.076310
Info:Lattice Sieving: Total time: 88842.7s
Info:Generate Factor Base: Total cpu/real time for makefb: 39.29/10.4269
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5250.37
Info:Polynomial Selection (root optimized): Rootsieve time: 5247.84
Info:Generate Free Relations: Total cpu/real time for freerel: 253.18/64.0154
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 102.23/119.389
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 119.10000000000001s
Info:Filtering - Merging: Merged matrix has 1769435 rows and total weight 302300722 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 448.03/126.446
Info:Filtering - Merging: Total cpu/real time for replay: 71.29/60.2852
Info:Quadratic Characters: Total cpu/real time for characters: 69.64/29.3895
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38471/37.850/46.375/49.920/0.836
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30411/37.020/41.624/47.190/0.980
Info:Polynomial Selection (size optimized): Total time: 4902.61
Info:Square Root: Total cpu/real time for sqrt: 1452.14/434.215
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 341.13/312.372
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 274.09999999999997s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 231938/62075.5
Info:root: Cleaning up computation data in /tmp/cado.akpcz6od
18918008719438495418113893137436196229866551547904630065513220940164453886085613 399351812681520159574652941039287215951447181177901
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 19, 2022 14:36:56 UTC 2022 年 6 月 19 日 (日) 23 時 36 分 56 秒 (日本時間)

3×10186+8

c153

name 名前Bob Backstrom
date 日付July 10, 2022 19:33:33 UTC 2022 年 7 月 11 日 (月) 4 時 33 分 33 秒 (日本時間)
composite number 合成数
330602361974811815167034126779736434647629145912917966204541557816011806523957103064062434830423607375635194609036970795987905599615467586248400155756457<153>
prime factors 素因数
3018562928865563628930404230655008270042239199<46>
109523097502247137330936770574565560677884157410388747784728124070619568450036032383035948008789577445249143<108>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 330602361974811815167034126779736434647629145912917966204541557816011806523957103064062434830423607375635194609036970795987905599615467586248400155756457 (153 digits)
Using B1=21780000, B2=96186870796, polynomial Dickson(12), sigma=1:1191455184
Step 1 took 41904ms
Step 2 took 17189ms
********** Factor found in step 2: 3018562928865563628930404230655008270042239199
Found prime factor of 46 digits: 3018562928865563628930404230655008270042239199
Prime cofactor 109523097502247137330936770574565560677884157410388747784728124070619568450036032383035948008789577445249143 has 108 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 18, 2022 20:17:21 UTC 2022 年 6 月 19 日 (日) 5 時 17 分 21 秒 (日本時間)

3×10187+8

c157

name 名前Bob Backstrom
date 日付July 16, 2022 19:08:15 UTC 2022 年 7 月 17 日 (日) 4 時 8 分 15 秒 (日本時間)
composite number 合成数
2166997360200708091884974636672432578627826108461822078436723645870967814192202914754423052328812474033803251295210618950654706692304617961378605254901095409<157>
prime factors 素因数
601978053285481020895818477808222868770921023739<48>
3599794624361554668683176428448972002729505022653769933980870540061443059726237680031617101840247570865910531<109>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2166997360200708091884974636672432578627826108461822078436723645870967814192202914754423052328812474033803251295210618950654706692304617961378605254901095409 (157 digits)
Using B1=17340000, B2=58559766730, polynomial Dickson(12), sigma=1:43153877
Step 1 took 39691ms
Step 2 took 15814ms
********** Factor found in step 2: 601978053285481020895818477808222868770921023739
Found prime factor of 48 digits: 601978053285481020895818477808222868770921023739
Prime cofactor 3599794624361554668683176428448972002729505022653769933980870540061443059726237680031617101840247570865910531 has 109 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 19, 2022 14:43:58 UTC 2022 年 6 月 19 日 (日) 23 時 43 分 58 秒 (日本時間)

3×10188+8

c144

name 名前Eric Jeancolas
date 日付July 25, 2022 09:14:56 UTC 2022 年 7 月 25 日 (月) 18 時 14 分 56 秒 (日本時間)
composite number 合成数
343630534467808641302465876616390003329825574718009747356603983542649816086132870728435538950297850844676482534830382256549154947810240736319071<144>
prime factors 素因数
365549597678003433068975765665195152884289454189273<51>
940038059542600479784100258942284513129422097382202383612741443585032709858586248320529831927<93>
factorization results 素因数分解の結果
343630534467808641302465876616390003329825574718009747356603983542649816086132870728435538950297850844676482534830382256549154947810240736319071=365549597678003433068975765665195152884289454189273*940038059542600479784100258942284513129422097382202383612741443585032709858586248320529831927

cado polynomial
n: 343630534467808641302465876616390003329825574718009747356603983542649816086132870728435538950297850844676482534830382256549154947810240736319071
skew: 0.31
type: snfs
c0: 1
c5: 375
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 375*x^5+1
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9400000
tasks.lim1 = 9400000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 365549597678003433068975765665195152884289454189273 940038059542600479784100258942284513129422097382202383612741443585032709858586248320529831927
Info:Square Root: Total cpu/real time for sqrt: 431.49/136.637
Info:Filtering - Singleton removal: Total cpu/real time for purge: 86.44/102.482
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22425126
Info:Lattice Sieving: Average J: 1894.27 for 1047240 special-q, max bucket fill -bkmult 1.0,1s:1.165200
Info:Lattice Sieving: Total time: 195656s
Info:Linear Algebra: Total cpu/real time for bwc: 40216.4/10322.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 25713.44, WCT time 6571.16, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (49152 iterations)
Info:Linear Algebra: Lingen CPU time 318.03, WCT time 80.73
Info:Linear Algebra: Mksol: CPU time 13904.12,  WCT time 3564.65, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (24576 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.3/32.3848
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.94/105.873
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 105.8s
Info:Filtering - Merging: Merged matrix has 1564664 rows and total weight 266154875 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 411.87/114.868
Info:Filtering - Merging: Total cpu/real time for replay: 61.71/52.5868
Info:Generate Factor Base: Total cpu/real time for makefb: 3.99/2.18297
Info:Quadratic Characters: Total cpu/real time for characters: 58.11/23.5275
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 220.15/186.774
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 171.8s
Info:Square Root: Total cpu/real time for sqrt: 431.49/136.637
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 415935/43981.1
Info:root: Cleaning up computation data in /tmp/cado.n18ma4in
365549597678003433068975765665195152884289454189273 940038059542600479784100258942284513129422097382202383612741443585032709858586248320529831927
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 19, 2022 15:15:21 UTC 2022 年 6 月 20 日 (月) 0 時 15 分 21 秒 (日本時間)

3×10189+8

c149

name 名前Eric Jeancolas
date 日付June 20, 2022 03:56:30 UTC 2022 年 6 月 20 日 (月) 12 時 56 分 30 秒 (日本時間)
composite number 合成数
26847951723411932993288945421992651542096881755861988070018578917727783684443912800852751836722049995604887284589111251635244215174058206827247533031<149>
prime factors 素因数
257445599108700321483089363<27>
104285922215652323978111922776154579913195381743697200817027760497901903713762206004569199976063805461562578152984572158237<123>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 26847951723411932993288945421992651542096881755861988070018578917727783684443912800852751836722049995604887284589111251635244215174058206827247533031 (149 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:438469195
Step 1 took 1943ms
Step 2 took 1273ms
********** Factor found in step 2: 257445599108700321483089363
Found prime factor of 27 digits: 257445599108700321483089363
Prime cofactor 104285922215652323978111922776154579913195381743697200817027760497901903713762206004569199976063805461562578152984572158237 has 123 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10190+8

c156

composite cofactor 合成数の残り
158423389054166306030451669484581070472949316466201113911843654891463267109762236850037994726375390276405521481605016931999915671197759818039138595959952097<156>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 21, 2022 19:42:16 UTC 2022 年 6 月 22 日 (水) 4 時 42 分 16 秒 (日本時間)

3×10191+8

c168

name 名前Bob Backstrom
date 日付June 24, 2022 11:02:14 UTC 2022 年 6 月 24 日 (金) 20 時 2 分 14 秒 (日本時間)
composite number 合成数
223677207019155187268352981463734191620930706141054207173230484897942498044745693228579902980592326073091065167336796095268999199400174946676159253641898261633991560777<168>
prime factors 素因数
976808133042330075151134882508382838295783457116841231623209806821<66>
228987863074500131967791065175762069365032277866538208917923954974678197711819714731457747756834380437<102>
factorization results 素因数分解の結果
Number: n
N=223677207019155187268352981463734191620930706141054207173230484897942498044745693228579902980592326073091065167336796095268999199400174946676159253641898261633991560777  ( 168 digits)
SNFS difficulty: 191 digits.
Divisors found:

Fri Jun 24 20:58:21 2022  p66 factor: 976808133042330075151134882508382838295783457116841231623209806821
Fri Jun 24 20:58:21 2022  p102 factor: 228987863074500131967791065175762069365032277866538208917923954974678197711819714731457747756834380437
Fri Jun 24 20:58:21 2022  elapsed time 00:32:33 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 3x10^191+8 = 30(190)8
#
n: 223677207019155187268352981463734191620930706141054207173230484897942498044745693228579902980592326073091065167336796095268999199400174946676159253641898261633991560777
m: 100000000000000000000000000000000000000
deg: 5
c5: 15
c0: 4
skew: 0.77
# Murphy_E = 4.962e-11
type: snfs
lss: 1
rlim: 10700000
alim: 10700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10700000/10700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2998404 hash collisions in 28591535 relations (27338825 unique)
Msieve: matrix is 1116112 x 1116337 (389.0 MB)

Sieving start time : 2022/06/24 17:00:10
Sieving end time  : 2022/06/24 20:25:21

Total sieving time: 3hrs 25min 11secs.

Total relation processing time: 0hrs 20min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 41sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10700000,10700000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 21, 2022 20:25:33 UTC 2022 年 6 月 22 日 (水) 5 時 25 分 33 秒 (日本時間)

3×10192+8

c189

name 名前ebina
date 日付June 16, 2022 07:34:10 UTC 2022 年 6 月 16 日 (木) 16 時 34 分 10 秒 (日本時間)
composite number 合成数
643224699828473413379073756432246998284734133790737564322469982847341337907375643224699828473413379073756432246998284734133790737564322469982847341337907375643224699828473413379073756432247<189>
prime factors 素因数
1403487144104229760396320369175481351225917566971735161<55>
458304661022747799656479023852137872265675551024267294835415631773552809477959793892059179226802895584689844585369988401886534902658927<135>
factorization results 素因数分解の結果
Thu Jun 16 16:15:22 2022  Msieve v. 1.53 (SVN unknown)
Thu Jun 16 16:15:22 2022  random seeds: 0c9d03a0 c356ad91
Thu Jun 16 16:15:22 2022  factoring 643224699828473413379073756432246998284734133790737564322469982847341337907375643224699828473413379073756432246998284734133790737564322469982847341337907375643224699828473413379073756432247 (189 digits)
Thu Jun 16 16:15:24 2022  searching for 15-digit factors
Thu Jun 16 16:15:25 2022  commencing number field sieve (189-digit input)
Thu Jun 16 16:15:25 2022  R0: -100000000000000000000000000000000000000
Thu Jun 16 16:15:25 2022  R1: 1
Thu Jun 16 16:15:25 2022  A0: 2
Thu Jun 16 16:15:25 2022  A1: 0
Thu Jun 16 16:15:25 2022  A2: 0
Thu Jun 16 16:15:25 2022  A3: 0
Thu Jun 16 16:15:25 2022  A4: 0
Thu Jun 16 16:15:25 2022  A5: 75
Thu Jun 16 16:15:25 2022  skew 0.48, size 3.358e-13, alpha 0.167, combined = 4.095e-11 rroots = 1
Thu Jun 16 16:15:25 2022  
Thu Jun 16 16:15:25 2022  commencing square root phase
Thu Jun 16 16:15:25 2022  reading relations for dependency 1
Thu Jun 16 16:15:26 2022  read 948383 cycles
Thu Jun 16 16:15:28 2022  cycles contain 3011958 unique relations
Thu Jun 16 16:16:19 2022  read 3011958 relations
Thu Jun 16 16:16:38 2022  multiplying 3011958 relations
Thu Jun 16 16:18:55 2022  multiply complete, coefficients have about 85.27 million bits
Thu Jun 16 16:18:56 2022  initial square root is modulo 1320811
Thu Jun 16 16:21:54 2022  GCD is 1, no factor found
Thu Jun 16 16:21:54 2022  reading relations for dependency 2
Thu Jun 16 16:21:55 2022  read 948424 cycles
Thu Jun 16 16:21:57 2022  cycles contain 3011216 unique relations
Thu Jun 16 16:22:48 2022  read 3011216 relations
Thu Jun 16 16:23:06 2022  multiplying 3011216 relations
Thu Jun 16 16:25:22 2022  multiply complete, coefficients have about 85.26 million bits
Thu Jun 16 16:25:23 2022  initial square root is modulo 1317271
Thu Jun 16 16:28:21 2022  sqrtTime: 776
Thu Jun 16 16:28:21 2022  p55 factor: 1403487144104229760396320369175481351225917566971735161
Thu Jun 16 16:28:21 2022  p135 factor: 458304661022747799656479023852137872265675551024267294835415631773552809477959793892059179226802895584689844585369988401886534902658927
Thu Jun 16 16:28:21 2022  elapsed time 00:12:59
Thu Jun 16 16:28:21 2022 -> Computing time scale for this machine...
Thu Jun 16 16:28:21 2022 -> procrels -speedtest> PIPE
Thu Jun 16 16:28:25 2022 -> Factorization summary written to s192-30008_192.txt

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10193+8

c182

name 名前Bob Backstrom
date 日付June 25, 2022 12:23:24 UTC 2022 年 6 月 25 日 (土) 21 時 23 分 24 秒 (日本時間)
composite number 合成数
82164435735939269738651555404561735856945399968415898878936920460480234812744415627446028473292963845129903365640482000118056359064243915314294609812558600756029201814779003352582487<182>
prime factors 素因数
15844250622295919649538371308329332717799999939<47>
5185757136428910389918496725626156580500495518067724114460808107204252223882952965958758772541617879679563686496102985387510370230285533<136>
factorization results 素因数分解の結果
Number: n
N=82164435735939269738651555404561735856945399968415898878936920460480234812744415627446028473292963845129903365640482000118056359064243915314294609812558600756029201814779003352582487  ( 182 digits)
SNFS difficulty: 192 digits.
Divisors found:

Sat Jun 25 22:17:32 2022  p47 factor: 15844250622295919649538371308329332717799999939
Sat Jun 25 22:17:32 2022  p136 factor: 5185757136428910389918496725626156580500495518067724114460808107204252223882952965958758772541617879679563686496102985387510370230285533
Sat Jun 25 22:17:32 2022  elapsed time 00:54:37 (Msieve 1.54 - dependency 12)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 3x10^193+8 = 30(192)8
#
n: 82164435735939269738651555404561735856945399968415898878936920460480234812744415627446028473292963845129903365640482000118056359064243915314294609812558600756029201814779003352582487
m: 100000000000000000000000000000000000000
deg: 5
c5: 375
c0: 1
skew: 0.31
# Murphy_E = 4.001e-11
type: snfs
lss: 1
rlim: 11300000
alim: 11300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11300000/11300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2973567 hash collisions in 28447675 relations (27212061 unique)
Msieve: matrix is 1263089 x 1263314 (440.0 MB)

Sieving start time : 2022/06/25 17:45:49
Sieving end time  : 2022/06/25 21:22:27

Total sieving time: 3hrs 36min 38secs.

Total relation processing time: 0hrs 27min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 18min 59sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11300000,11300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 24, 2022 17:19:22 UTC 2022 年 6 月 25 日 (土) 2 時 19 分 22 秒 (日本時間)

3×10194+8

c178

name 名前Bob Backstrom
date 日付July 18, 2022 15:46:50 UTC 2022 年 7 月 19 日 (火) 0 時 46 分 50 秒 (日本時間)
composite number 合成数
5149264991437499389544186711266046839212862636107782381362048297397280124526769263680502007346022164726628693688396300972945795526251115629101201996125082612540447091859049013823<178>
prime factors 素因数
107255530070120327140660602671548696041244000946623<51>
48009319315014062336692241993658520932993707450316798211058115503207380335251781100025479720494775391224416612376438823110166401<128>
factorization results 素因数分解の結果
Number: n
N=5149264991437499389544186711266046839212862636107782381362048297397280124526769263680502007346022164726628693688396300972945795526251115629101201996125082612540447091859049013823  ( 178 digits)
SNFS difficulty: 194 digits.
Divisors found:

Mon Jul 18 19:25:31 2022  p51 factor: 107255530070120327140660602671548696041244000946623
Mon Jul 18 19:25:31 2022  p128 factor: 48009319315014062336692241993658520932993707450316798211058115503207380335251781100025479720494775391224416612376438823110166401
Mon Jul 18 19:25:31 2022  elapsed time 00:40:22 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.337).
Factorization parameters were as follows:
#
# N = 3x10^194+8 = 30(193)8
#
n: 5149264991437499389544186711266046839212862636107782381362048297397280124526769263680502007346022164726628693688396300972945795526251115629101201996125082612540447091859049013823
m: 500000000000000000000000000000000000000
deg: 5
c5: 6
c0: 5
skew: 0.96
# Murphy_E = 3.902e-11
type: snfs
lss: 1
rlim: 12100000
alim: 12100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12100000/12100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 11650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2908517 hash collisions in 28468123 relations (27317140 unique)
Msieve: matrix is 1274485 x 1274710 (446.0 MB)

Sieving start time : 2022/07/18 15:29:52
Sieving end time  : 2022/07/18 18:44:41

Total sieving time: 3hrs 14min 49secs.

Total relation processing time: 0hrs 29min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 51sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12100000,12100000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119387] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153505] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798328)
[    0.152037] smpboot: Total of 16 processors activated (102386.62 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10195+8

c167

name 名前Bob Backstrom
date 日付July 21, 2022 05:38:18 UTC 2022 年 7 月 21 日 (木) 14 時 38 分 18 秒 (日本時間)
composite number 合成数
28614659076907355427741804551568314272889180142932926735036458218070171615580709151565976042386901491575315677899524300978162068035388643445847626292994722350833620719<167>
prime factors 素因数
65013965678073601369682263418219884520859451880690746515552405282829<68>
440130959224932225434938974468797012735098879512956837980701512240928214039911939530837324337682411<99>
factorization results 素因数分解の結果
Number: n
N=28614659076907355427741804551568314272889180142932926735036458218070171615580709151565976042386901491575315677899524300978162068035388643445847626292994722350833620719  ( 167 digits)
SNFS difficulty: 195 digits.
Divisors found:

Thu Jul 21 15:33:28 2022  p68 factor: 65013965678073601369682263418219884520859451880690746515552405282829
Thu Jul 21 15:33:28 2022  p99 factor: 440130959224932225434938974468797012735098879512956837980701512240928214039911939530837324337682411
Thu Jul 21 15:33:28 2022  elapsed time 01:04:00 (Msieve 1.54 - dependency 13)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 3x10^195+8 = 30(194)8
#
n: 28614659076907355427741804551568314272889180142932926735036458218070171615580709151565976042386901491575315677899524300978162068035388643445847626292994722350833620719
m: 1000000000000000000000000000000000000000
deg: 5
c5: 3
c0: 8
skew: 1.22
# Murphy_E = 3.278e-11
type: snfs
lss: 1
rlim: 12700000
alim: 12700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12700000/12700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3084264 hash collisions in 28690918 relations (27338655 unique)
Msieve: matrix is 1399286 x 1399511 (487.6 MB)

Sieving start time : 2022/07/21 09:59:39
Sieving end time  : 2022/07/21 14:28:37

Total sieving time: 4hrs 28min 58secs.

Total relation processing time: 0hrs 36min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 19min 23sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12700000,12700000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119387] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153505] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798328)
[    0.152037] smpboot: Total of 16 processors activated (102386.62 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 19, 2022 10:20:20 UTC 2022 年 7 月 19 日 (火) 19 時 20 分 20 秒 (日本時間)

3×10197+8

c184

name 名前Bob Backstrom
date 日付July 24, 2022 19:23:39 UTC 2022 年 7 月 25 日 (月) 4 時 23 分 39 秒 (日本時間)
composite number 合成数
8434685042913861327342165479845241678988382553522818410212812445129817453675950947117429326803898781558712085291657313375979796298729744413166250167824614247417334337356978512519407449<184>
prime factors 素因数
5329998869082783492478162335996888973342185350931326688923<58>
1582492839133631914340468259239138379760237943718731647378170502995455587180012130992014205555889093559518239289027924137531163<127>
factorization results 素因数分解の結果
Number: n
N=8434685042913861327342165479845241678988382553522818410212812445129817453675950947117429326803898781558712085291657313375979796298729744413166250167824614247417334337356978512519407449  ( 184 digits)
SNFS difficulty: 196 digits.
Divisors found:

Mon Jul 25 05:19:04 2022  p58 factor: 5329998869082783492478162335996888973342185350931326688923
Mon Jul 25 05:19:04 2022  p127 factor: 1582492839133631914340468259239138379760237943718731647378170502995455587180012130992014205555889093559518239289027924137531163
Mon Jul 25 05:19:04 2022  elapsed time 00:59:11 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 3x10^197+8 = 30(196)8
#
n: 8434685042913861327342165479845241678988382553522818410212812445129817453675950947117429326803898781558712085291657313375979796298729744413166250167824614247417334337356978512519407449
m: 1000000000000000000000000000000000000000
deg: 5
c5: 75
c0: 2
skew: 0.48
# Murphy_E = 2.54e-11
type: snfs
lss: 1
rlim: 13400000
alim: 13400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13400000/13400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3227658 hash collisions in 28590856 relations (27041781 unique)
Msieve: matrix is 1530169 x 1530394 (530.6 MB)

Sieving start time : 2022/07/24 22:55:15
Sieving end time  : 2022/07/25 04:19:02

Total sieving time: 5hrs 23min 47secs.

Total relation processing time: 0hrs 45min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 51sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13400000,13400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10199+8

c179

composite cofactor 合成数の残り
16131387686881987969221762820559657992534856059582488973542159126397826933449729992324205067696850789883917843114331841278578343208093009242745670643399938331238543311454251437019<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10201+8

c193

composite cofactor 合成数の残り
4760148252088159621200857451216826542698358455893716628425328106546690282248738208462225983176569803911976150921020775330662428958436784577485242620123197968130083909735453935797836833770761339<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10202+8

c194

composite cofactor 合成数の残り
14013714284185322753908313738392631979171181029015380477443807630956226093140623560733152537983247662141561093166726439206495065832860881198273768999929292403207714535512880212201566136085893889<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10203+8

c181

composite cofactor 合成数の残り
4298731724147107603250216295946314901527043722516547995148901349438052916344106467597205557717977223395226412970564510247928844989375863605220067528340580785206269457268446022618113<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10204+8

c177

name 名前Eric Jeancolas
date 日付June 20, 2022 05:30:18 UTC 2022 年 6 月 20 日 (月) 14 時 30 分 18 秒 (日本時間)
composite number 合成数
117878360685290966794909172351943447522189292328083753483185368810840540929221019461610895180640829740350527252188727232244373123505251307696290936124826544578522720714848730083<177>
prime factors 素因数
2732327270709732884535525354546217<34>
43142108908012177250889826940722035512710941179611622752570113406732500207951008348824212592464628112182210227884443360198453935715718365593899<143>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 117878360685290966794909172351943447522189292328083753483185368810840540929221019461610895180640829740350527252188727232244373123505251307696290936124826544578522720714848730083 (177 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3777177867
Step 1 took 3694ms
Step 2 took 1706ms
********** Factor found in step 2: 2732327270709732884535525354546217
Found prime factor of 34 digits: 2732327270709732884535525354546217
Prime cofactor 43142108908012177250889826940722035512710941179611622752570113406732500207951008348824212592464628112182210227884443360198453935715718365593899 has 143 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10205+8

c198

composite cofactor 合成数の残り
227417185425481483116639120886424886013958321040171032278139829306118632083810328245475201550754755187219226952587276802919478730701605061979066824205120840698870597741510834852126371909332224912079<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10206+8

c160

name 名前Eric Jeancolas
date 日付June 25, 2022 12:59:13 UTC 2022 年 6 月 25 日 (土) 21 時 59 分 13 秒 (日本時間)
composite number 合成数
1683280291095410613741856725350906466635845979580874831360900021956894619027279928714026865935505886119106018181574849039216572812541131820367725137558629701663<160>
prime factors 素因数
24529561018994034833161962824888339<35>
68622519978730645808398043591358886798938853927912051726799473556497686518251447474522164336903285238346353635420667020194117<125>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1683280291095410613741856725350906466635845979580874831360900021956894619027279928714026865935505886119106018181574849039216572812541131820367725137558629701663 (160 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:223405319
Step 1 took 1963ms
Step 2 took 18ms
********** Factor found in step 2: 24529561018994034833161962824888339
Found prime factor of 35 digits: 24529561018994034833161962824888339
Prime cofactor 68622519978730645808398043591358886798938853927912051726799473556497686518251447474522164336903285238346353635420667020194117 has 125 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10207+8

c177

name 名前Eric Jeancolas
date 日付June 20, 2022 05:36:10 UTC 2022 年 6 月 20 日 (月) 14 時 36 分 10 秒 (日本時間)
composite number 合成数
482005567944494353542794358837497888704999144438186334482602766511267761957106323412229892907729766433003846585446568008277484881213113941773253337902488471906721457918138019381<177>
prime factors 素因数
258480964267964695577<21>
955883077352985051315017957<27>
composite cofactor 合成数の残り
1950826816418066481777852922250527147159002315158966045488794316560982095878932921099800250618729250980965176651431339010988019129<130>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3855019090
Step 1 took 3722ms
Step 2 took 1848ms
********** Factor found in step 2: 258480964267964695577
Found prime factor of 21 digits: 258480964267964695577
Composite cofactor 17020195531297196486183725946145519724259283954989394506673521942544454903879357691721815778075250087605076817846402188539366513812523248240007260165235104714161936797345317180851 has 179 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:881511201
Step 1 took 3318ms
Step 2 took 1917ms
********** Factor found in step 2: 955883077352985051315017957
Found prime factor of 27 digits: 955883077352985051315017957
Composite cofactor 1950826816418066481777852922250527147159002315158966045488794316560982095878932921099800250618729250980965176651431339010988019129 has 130 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

c130

name 名前Eric Jeancolas
date 日付June 22, 2022 21:07:01 UTC 2022 年 6 月 23 日 (木) 6 時 7 分 1 秒 (日本時間)
composite number 合成数
1950826816418066481777852922250527147159002315158966045488794316560982095878932921099800250618729250980965176651431339010988019129<130>
prime factors 素因数
60403909722980055608124819607691228547736937625119633<53>
32296366665085160536782393098019491665195629808290390768685924091273877478313<77>
factorization results 素因数分解の結果
1950826816418066481777852922250527147159002315158966045488794316560982095878932921099800250618729250980965176651431339010988019129=60403909722980055608124819607691228547736937625119633*32296366665085160536782393098019491665195629808290390768685924091273877478313

cado polynomial
n: 1950826816418066481777852922250527147159002315158966045488794316560982095878932921099800250618729250980965176651431339010988019129
skew: 97769.037
c0: 1251988251157921972748343259172
c1: -59543467154624782961068741
c2: -549660422694308445956
c3: -76422586143641
c4: 11975471022
c5: 259200
Y0: -6845708004617786806467258
Y1: 178187741646060883
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.797e-07
# f(x) = 259200*x^5+11975471022*x^4-76422586143641*x^3-549660422694308445956*x^2-59543467154624782961068741*x+1251988251157921972748343259172
# g(x) = 178187741646060883*x-6845708004617786806467258

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.ncurves0 = 16
tasks.sieve.ncurves1 = 21
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 32296366665085160536782393098019491665195629808290390768685924091273877478313 60403909722980055608124819607691228547736937625119633
Info:Square Root: Total cpu/real time for sqrt: 770.99/232.338
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 314.34/284.963
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 257.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 158.07/177.53
Info:Linear Algebra: Total cpu/real time for bwc: 53676.7/13766.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 34335.6, WCT time 8768.28, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (56576 iterations)
Info:Linear Algebra: Lingen CPU time 352.12, WCT time 89.43
Info:Linear Algebra: Mksol: CPU time 18654.72,  WCT time 4777.67, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (28416 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23699930
Info:Lattice Sieving: Average J: 7783.65 for 61738 special-q, max bucket fill -bkmult 1.0,1s:1.069110
Info:Lattice Sieving: Total time: 87115s
Info:Generate Factor Base: Total cpu/real time for makefb: 40.57/10.7449
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5110.51
Info:Polynomial Selection (root optimized): Rootsieve time: 5108.07
Info:Generate Free Relations: Total cpu/real time for freerel: 252.71/64.402
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 103.35/123.322
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 123.0s
Info:Filtering - Merging: Merged matrix has 1809916 rows and total weight 308260258 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 462.58/130.406
Info:Filtering - Merging: Total cpu/real time for replay: 73.75/65.1465
Info:Quadratic Characters: Total cpu/real time for characters: 71.08/30.1359
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38665/38.460/46.155/50.150/0.841
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30739/37.610/41.409/46.940/0.973
Info:Polynomial Selection (size optimized): Total time: 4820.96
Info:Square Root: Total cpu/real time for sqrt: 770.99/232.338
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 229717/61850.6
Info:root: Cleaning up computation data in /tmp/cado.b_l5x4wc
32296366665085160536782393098019491665195629808290390768685924091273877478313 60403909722980055608124819607691228547736937625119633
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 21, 2022 17:25:08 UTC 2022 年 6 月 22 日 (水) 2 時 25 分 8 秒 (日本時間)

3×10208+8

c181

composite cofactor 合成数の残り
5127819490265726473465676060260712328452513889351460970448553053057092938900697331451158538040859702130763874174728646503796155883504405241333449077825708172985541104994469504965521<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10209+8

c204

composite cofactor 合成数の残り
958123610720764454891540407266409463706277625897442448708449372748409514806203531004880042923937760290247579141010245535143974041237640205421702138531899128746263317918189018625922992411661003091545517259<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10210+8

c183

composite cofactor 合成数の残り
126077857956147655099017957823974623119903840907434570341467178006090710142893933404893036195023152451705551972721198453698347029782778518647757778124716156818308388788005474193028949<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10213+8

c182

composite cofactor 合成数の残り
15117022794224123257794108324315216700463375032490707778262689864610345213366087374914961393051027140284249860526346408320853175079276616017849347216278628102194636148317347999944117<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10214+8

c189

composite cofactor 合成数の残り
136652234581944123442736678664887723972140234719978830276342229947120982244932292603345822414591616514786753502568381519805672969814074614446748389040278743158546564567604055254835169936017<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10215+8

c157

name 名前Eric Jeancolas
date 日付June 20, 2022 12:30:33 UTC 2022 年 6 月 20 日 (月) 21 時 30 分 33 秒 (日本時間)
composite number 合成数
5631959290344506561673906286538973298729662545529281537314710303925408968644493978229143693666590697147614339563047565301948205069527649498725816166884881399<157>
prime factors 素因数
263532161670456797616211069<27>
composite cofactor 合成数の残り
21371051087825823610340146143986498793167915639774255072420729142512861018491457389133996310350823564087778932717416307193073469571<131>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2664896918
Step 1 took 2854ms
Step 2 took 1697ms
********** Factor found in step 2: 263532161670456797616211069
Found prime factor of 27 digits: 263532161670456797616211069
Composite cofactor 21371051087825823610340146143986498793167915639774255072420729142512861018491457389133996310350823564087778932717416307193073469571 has 131 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

c131

name 名前Eric Jeancolas
date 日付June 27, 2022 03:22:36 UTC 2022 年 6 月 27 日 (月) 12 時 22 分 36 秒 (日本時間)
composite number 合成数
21371051087825823610340146143986498793167915639774255072420729142512861018491457389133996310350823564087778932717416307193073469571<131>
prime factors 素因数
15171798131626482470381742503535025898684415460575500841503393<62>
1408603706852429256085147184627502159495457112246223464662911161795747<70>
factorization results 素因数分解の結果
21371051087825823610340146143986498793167915639774255072420729142512861018491457389133996310350823564087778932717416307193073469571=15171798131626482470381742503535025898684415460575500841503393*1408603706852429256085147184627502159495457112246223464662911161795747

cado polynomial
n: 21371051087825823610340146143986498793167915639774255072420729142512861018491457389133996310350823564087778932717416307193073469571
skew: 93230.129
c0: 673106686478021355779604228063
c1: 13805227633608204777711913
c2: -259703403094424566095
c3: 1470111178166733
c4: 14639096042
c5: -127680
Y0: -11090060039163872144361904
Y1: 214598581635255011
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.818e-07
# f(x) = -127680*x^5+14639096042*x^4+1470111178166733*x^3-259703403094424566095*x^2+13805227633608204777711913*x+673106686478021355779604228063
# g(x) = 214598581635255011*x-11090060039163872144361904

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

cado log (extracts)
Info:Square Root: Factors: 15171798131626482470381742503535025898684415460575500841503393 1408603706852429256085147184627502159495457112246223464662911161795747
Info:Square Root: Total cpu/real time for sqrt: 725.66/219.654
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23761958
Info:Lattice Sieving: Average J: 7842.48 for 60942 special-q, max bucket fill -bkmult 1.0,1s:1.072550
Info:Lattice Sieving: Total time: 86409.1s
Info:Generate Factor Base: Total cpu/real time for makefb: 40.63/10.7474
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5552.67
Info:Polynomial Selection (root optimized): Rootsieve time: 5550.26
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 102.29/119.27
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 118.9s
Info:Filtering - Merging: Merged matrix has 1755905 rows and total weight 299502553 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 456.56/128.823
Info:Filtering - Merging: Total cpu/real time for replay: 70.62/59.9991
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 346.07/315.571
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 277.0s
Info:Linear Algebra: Total cpu/real time for bwc: 50490/12946.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 32297.19, WCT time 8244.49, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (55040 iterations)
Info:Linear Algebra: Lingen CPU time 344.88, WCT time 87.57
Info:Linear Algebra: Mksol: CPU time 17525.16,  WCT time 4489.78, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27648 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 68.01/28.1715
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38499/38.640/46.538/49.510/0.842
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30609/37.650/41.814/47.370/1.017
Info:Polynomial Selection (size optimized): Total time: 4818.57
Info:Square Root: Total cpu/real time for sqrt: 725.66/219.654
Info:Filtering - Singleton removal: Total cpu/real time for purge: 206.73/234.264
Info:Generate Free Relations: Total cpu/real time for freerel: 252.79/64.4694
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 225635/60463
Info:root: Cleaning up computation data in /tmp/cado._ggkfdt_
15171798131626482470381742503535025898684415460575500841503393 1408603706852429256085147184627502159495457112246223464662911161795747
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 21, 2022 17:25:21 UTC 2022 年 6 月 22 日 (水) 2 時 25 分 21 秒 (日本時間)
4511e64480Ignacio SantosJune 23, 2022 12:34:55 UTC 2022 年 6 月 23 日 (木) 21 時 34 分 55 秒 (日本時間)
5043e66454Ignacio SantosJune 26, 2022 16:01:32 UTC 2022 年 6 月 27 日 (月) 1 時 1 分 32 秒 (日本時間)

3×10217+8

c181

name 名前Eric Jeancolas
date 日付June 20, 2022 13:43:12 UTC 2022 年 6 月 20 日 (月) 22 時 43 分 12 秒 (日本時間)
composite number 合成数
4064284620691992294748328688842259020842940143909489985021542854401410880450241243214001523693903802278140240720244929230737833456279732973920954569810521295520245846972266255877441<181>
prime factors 素因数
70037219432057238180512669404279<32>
58030353769751450501645631776941824491598314687323495381840848127735611568780318023899348126111287633111279266330186240228872067024393927413368668679<149>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 4064284620691992294748328688842259020842940143909489985021542854401410880450241243214001523693903802278140240720244929230737833456279732973920954569810521295520245846972266255877441 (181 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1580107505
Step 1 took 3101ms
Step 2 took 1872ms
********** Factor found in step 2: 70037219432057238180512669404279
Found prime factor of 32 digits: 70037219432057238180512669404279
Prime cofactor 58030353769751450501645631776941824491598314687323495381840848127735611568780318023899348126111287633111279266330186240228872067024393927413368668679 has 149 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10218+8

c161

composite cofactor 合成数の残り
52692955446575507821053479924105047987117719979122321842341408056637441436615710951272859639194402299025883063622267347800855764080276048392335165864957517027967<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10220+8

c177

composite cofactor 合成数の残り
275900359992545918113066295869269286258429028995712081066788201524978457178359318282986977319541959738591779921443542475942778206471690224927836983103845365349662135599653176031<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10222+8

c189

composite cofactor 合成数の残り
374478521140110000409953950014224525513436363883943159446930187929544216176145180777890889193175500504052944030586043627742035227695705077287717265191758143378684289974956472932890395376229<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10224+8

c173

name 名前Eric Jeancolas
date 日付June 20, 2022 17:19:09 UTC 2022 年 6 月 21 日 (火) 2 時 19 分 9 秒 (日本時間)
composite number 合成数
65845594577606058214711667584310008450746560188473978409588801060158107092153816942279272977928368794472381541829688363729403319813622827176731894501489214688129235659888157<173>
prime factors 素因数
3699452465245660576692549410791<31>
composite cofactor 合成数の残り
17798740542334177376348798121436215181511942800925312470419659889422125909383074371064744471925496877608164230445190470297932781597328394004827<143>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:849820361
Step 1 took 3192ms
Step 2 took 1609ms
********** Factor found in step 2: 3699452465245660576692549410791
Found prime factor of 31 digits: 3699452465245660576692549410791
Composite cofactor 17798740542334177376348798121436215181511942800925312470419659889422125909383074371064744471925496877608164230445190470297932781597328394004827 has 143 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 21, 2022 17:43:41 UTC 2022 年 6 月 22 日 (水) 2 時 43 分 41 秒 (日本時間)
4511e64480Ignacio SantosJune 21, 2022 22:25:00 UTC 2022 年 6 月 22 日 (水) 7 時 25 分 0 秒 (日本時間)
5043e66454Ignacio SantosJune 23, 2022 20:02:15 UTC 2022 年 6 月 24 日 (金) 5 時 2 分 15 秒 (日本時間)

3×10225+8

c212

name 名前Eric Jeancolas
date 日付June 25, 2022 13:44:11 UTC 2022 年 6 月 25 日 (土) 22 時 44 分 11 秒 (日本時間)
composite number 合成数
36891860861309418716492390345275395667062170875601611915663384999467062149006677087446094888872259814440425718439308428075112687806814725055689957058154905188714264202527962908570467598811872738296621707266880189<212>
prime factors 素因数
2637840786234617940755860541731<31>
composite cofactor 合成数の残り
13985628341872237392399438640776134807174370384089860817590720297422911577022152331749724786692136314612213852442314287915914848943861054883842862840588022993006509784655118537628319<182>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 36891860861309418716492390345275395667062170875601611915663384999467062149006677087446094888872259814440425718439308428075112687806814725055689957058154905188714264202527962908570467598811872738296621707266880189 (212 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1672800927
Step 1 took 2772ms
Step 2 took 1548ms
********** Factor found in step 2: 2637840786234617940755860541731
Found prime factor of 31 digits: 2637840786234617940755860541731
Composite cofactor 13985628341872237392399438640776134807174370384089860817590720297422911577022152331749724786692136314612213852442314287915914848943861054883842862840588022993006509784655118537628319 has 182 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10227+8

c186

name 名前Eric Jeancolas
date 日付June 20, 2022 18:47:02 UTC 2022 年 6 月 21 日 (火) 3 時 47 分 2 秒 (日本時間)
composite number 合成数
518553387869324345750479763565011684512392997547833906908241746313179829007098205166213659252796885540019914834700171378810794123662422693152811545107277112294089725909390588268399188341<186>
prime factors 素因数
4970085255634686716147086313<28>
composite cofactor 合成数の残り
104334907994069080735762081872305858073014783580831846359466892462325726797912459158546651999880945288739707101313643405177506270081701561568267870991026224557<159>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 518553387869324345750479763565011684512392997547833906908241746313179829007098205166213659252796885540019914834700171378810794123662422693152811545107277112294089725909390588268399188341 (186 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:884376299
Step 1 took 3425ms
Step 2 took 1940ms
********** Factor found in step 2: 4970085255634686716147086313
Found prime factor of 28 digits: 4970085255634686716147086313
Composite cofactor 104334907994069080735762081872305858073014783580831846359466892462325726797912459158546651999880945288739707101313643405177506270081701561568267870991026224557 has 159 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

c159

name 名前Eric Jeancolas
date 日付June 25, 2022 16:19:48 UTC 2022 年 6 月 26 日 (日) 1 時 19 分 48 秒 (日本時間)
composite number 合成数
104334907994069080735762081872305858073014783580831846359466892462325726797912459158546651999880945288739707101313643405177506270081701561568267870991026224557<159>
prime factors 素因数
4121417373021841953937631475162473<34>
25315297760675534758113900348803575751854625744118041066032655387107750616817520099470969766012925548846306263089261757555109<125>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 104334907994069080735762081872305858073014783580831846359466892462325726797912459158546651999880945288739707101313643405177506270081701561568267870991026224557 (159 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1632887443
Step 1 took 1962ms
Step 2 took 1176ms
********** Factor found in step 2: 4121417373021841953937631475162473
Found prime factor of 34 digits: 4121417373021841953937631475162473
Prime cofactor 25315297760675534758113900348803575751854625744118041066032655387107750616817520099470969766012925548846306263089261757555109 has 125 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10228+8

c188

name 名前Eric Jeancolas
date 日付June 25, 2022 16:23:28 UTC 2022 年 6 月 26 日 (日) 1 時 23 分 28 秒 (日本時間)
composite number 合成数
17468847786232651219893482614278771851937636290137889903250840559458687985361348563314365497703961442134171367271482485260983298556049559651544088232043511448875987800916226835054961225349<188>
prime factors 素因数
1334510576231237028062786401<28>
composite cofactor 合成数の残り
13090078188489186197710388538365368168373103129399161876810011710748276670129151088800533353507936847255907981768675236441761601461920957613277673842012963811749<161>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 17468847786232651219893482614278771851937636290137889903250840559458687985361348563314365497703961442134171367271482485260983298556049559651544088232043511448875987800916226835054961225349 (188 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:89843274
Step 1 took 2391ms
********** Factor found in step 1: 1334510576231237028062786401
Found prime factor of 28 digits: 1334510576231237028062786401
Composite cofactor 13090078188489186197710388538365368168373103129399161876810011710748276670129151088800533353507936847255907981768675236441761601461920957613277673842012963811749 has 161 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10230+8

c226

composite cofactor 合成数の残り
6671410780999822095712506671410780999822095712506671410780999822095712506671410780999822095712506671410780999822095712506671410780999822095712506671410780999822095712506671410780999822095712506671410780999822095712506671410781<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10231+8

c204

name 名前Eric Jeancolas
date 日付June 20, 2022 20:22:38 UTC 2022 年 6 月 21 日 (火) 5 時 22 分 38 秒 (日本時間)
composite number 合成数
116561585810184660907872888259153024058496995631581878243690634051392018017015326798116122545699527982934121411116737870611394101742476391928277573063646642301435532546470384403159666336662060062615521937<204>
prime factors 素因数
27008883968975060212418207<26>
4315675758542198243339893999469950343361179303072132196759010485728199650662476790798063559377437436821410128876908844146616335172852718298884017303159058699569892730965176029391<178>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 116561585810184660907872888259153024058496995631581878243690634051392018017015326798116122545699527982934121411116737870611394101742476391928277573063646642301435532546470384403159666336662060062615521937 (204 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1124061645
Step 1 took 3529ms
Step 2 took 1984ms
********** Factor found in step 2: 27008883968975060212418207
Found prime factor of 26 digits: 27008883968975060212418207
Prime cofactor 4315675758542198243339893999469950343361179303072132196759010485728199650662476790798063559377437436821410128876908844146616335172852718298884017303159058699569892730965176029391 has 178 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10232+8

c227

composite cofactor 合成数の残り
27827041948338169054845244544044641995829653980009053064313859350999176319558329190195976580761496278596923442242191732029296309763210424380941073455970199093209459710153531066109631124731932829231008971438324144225703282106841<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10234+8

c214

name 名前Eric Jeancolas
date 日付June 20, 2022 20:25:58 UTC 2022 年 6 月 21 日 (火) 5 時 25 分 58 秒 (日本時間)
composite number 合成数
1366815871270052658281340685596194198559859951415613051985086605645922649375808806041024734755453321979852122458729727422543509738621469317189224441915772929130479497185345489265732547940763567309171266236188464167<214>
prime factors 素因数
390600837630545558265419<24>
6499291614029480776949804074138153<34>
composite cofactor 合成数の残り
538407150753029291743800231788190275572023675633284732372040133932453304549462603813931578759195700106825645534131570243525049860549134285742065711080813581<156>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]

Input number is 1366815871270052658281340685596194198559859951415613051985086605645922649375808806041024734755453321979852122458729727422543509738621469317189224441915772929130479497185345489265732547940763567309171266236188464167 (214 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:719070200
Step 1 took 4231ms
********** Factor found in step 1: 390600837630545558265419
Found prime factor of 24 digits: 390600837630545558265419
Composite cofactor 3499265079822669722046369876153920858521277525149229364475600914559960824225111592708316664241848938638419087122572398508505824427332840220405111010392776251451602591617606142651276632655893 has 190 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1330485727
Step 1 took 3450ms
Step 2 took 1868ms
********** Factor found in step 2: 6499291614029480776949804074138153
Found prime factor of 34 digits: 6499291614029480776949804074138153
Composite cofactor 538407150753029291743800231788190275572023675633284732372040133932453304549462603813931578759195700106825645534131570243525049860549134285742065711080813581 has 156 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 21, 2022 18:11:17 UTC 2022 年 6 月 22 日 (水) 3 時 11 分 17 秒 (日本時間)
4511e64480Ignacio SantosJune 22, 2022 18:08:15 UTC 2022 年 6 月 23 日 (木) 3 時 8 分 15 秒 (日本時間)
5043e65000 / 6453yoyo@HomeJuly 18, 2022 12:43:22 UTC 2022 年 7 月 18 日 (月) 21 時 43 分 22 秒 (日本時間)

3×10235+8

c206

composite cofactor 合成数の残り
11676262202749384743678114353811343059262867826076541637044630778939227379668140259263205414636264530258373053133546289837359051807882064182766228626571687497678544796906171897942762034445204972899187691541<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10236+8

c189

composite cofactor 合成数の残り
819240321026214879362834112128803127767167900091723086967912415690357702959088388127482370672629680548501924304145483643752720037453657012035016216783407299308452565374967046760574871132647<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10237+8

c212

name 名前Eric Jeancolas
date 日付June 21, 2022 05:19:02 UTC 2022 年 6 月 21 日 (火) 14 時 19 分 2 秒 (日本時間)
composite number 合成数
35528146692210727053590345042658353018415056938321524745810692517794047295982146809872849430870867341576819582925120509690853822415095716451729551411485753395521023492872322778927264601412106587392554752567177661<212>
prime factors 素因数
2807448938639669226881350367<28>
composite cofactor 合成数の残り
12654957389688325025526067983848935667267456949019155233283079915226325435247921330389178983861803986858065443266352149995862284655732334987641117754135437080862736802263319838680531683<185>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 35528146692210727053590345042658353018415056938321524745810692517794047295982146809872849430870867341576819582925120509690853822415095716451729551411485753395521023492872322778927264601412106587392554752567177661 (212 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1154043989
Step 1 took 4796ms
Step 2 took 2472ms
********** Factor found in step 2: 2807448938639669226881350367
Found prime factor of 28 digits: 2807448938639669226881350367
Composite cofactor 12654957389688325025526067983848935667267456949019155233283079915226325435247921330389178983861803986858065443266352149995862284655732334987641117754135437080862736802263319838680531683 has 185 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10239+8

c232

composite cofactor 合成数の残り
6410136973516219954192306502323290044681218760197459568702053243794260927445967246080372177680791930543516368669370092078626227306192072660526496172977289824856254815081223272933888924120900995178038563042158701658379356692328296789<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10240+8

c228

composite cofactor 合成数の残り
245115681134392166935082217701736762367417857610263797451269218561752627685005155952855203521323300964787607515553839144486530031247526854412411794561735807201167599400281555694581324883311498718141040658863738919192518218403077<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10241+8

c211

composite cofactor 合成数の残り
6400555736645053439616807645249491861605338544724637825422623127574002042451360312376372408961052820039646496535904135284286363398015665872729890538836412683396829298285837380395997174987624394023138791942412627<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10242+8

c220

name 名前Eric Jeancolas
date 日付June 21, 2022 05:22:28 UTC 2022 年 6 月 21 日 (火) 14 時 22 分 28 秒 (日本時間)
composite number 合成数
7227557114020897345492726686440112388257581450070923822866058762591803439315888444346483384595733868665786361610664769652676846282477689663674727386455811253277213211779625230062219462279470873545330058332311307708447311<220>
prime factors 素因数
85933953060450765263501<23>
composite cofactor 合成数の残り
84105954126614285453876225762684645662800439324693214177621876800543883707639006195008336407160915547370035299649766956074888469555404273054704495901770703750683038412651447286316765745576481748811<197>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 7227557114020897345492726686440112388257581450070923822866058762591803439315888444346483384595733868665786361610664769652676846282477689663674727386455811253277213211779625230062219462279470873545330058332311307708447311 (220 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2120913907
Step 1 took 4136ms
Step 2 took 2180ms
********** Factor found in step 2: 85933953060450765263501
Found prime factor of 23 digits: 85933953060450765263501
Composite cofactor 84105954126614285453876225762684645662800439324693214177621876800543883707639006195008336407160915547370035299649766956074888469555404273054704495901770703750683038412651447286316765745576481748811 has 197 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10243+8

c203

name 名前Eric Jeancolas
date 日付June 25, 2022 20:35:30 UTC 2022 年 6 月 26 日 (日) 5 時 35 分 30 秒 (日本時間)
composite number 合成数
20983162931936460796038704115038255761245794236086569826507942454145066717763584905247277347932041586690506262367299128338443380109665001726141215109540296099088568703562959772282868935699237513910975851<203>
prime factors 素因数
40948215324202758839647779524753807<35>
composite cofactor 合成数の残り
512431683916006965227248125051325656206080856397291501425777121240311329476172723281387963020504346184297390239472889062972565943112657386061889259155868049155650107493<168>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 20983162931936460796038704115038255761245794236086569826507942454145066717763584905247277347932041586690506262367299128338443380109665001726141215109540296099088568703562959772282868935699237513910975851 (203 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:4179152969
Step 1 took 2712ms
Step 2 took 1535ms
********** Factor found in step 2: 40948215324202758839647779524753807
Found prime factor of 35 digits: 40948215324202758839647779524753807
Composite cofactor 512431683916006965227248125051325656206080856397291501425777121240311329476172723281387963020504346184297390239472889062972565943112657386061889259155868049155650107493 has 168 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10244+8

c217

composite cofactor 合成数の残り
2463386095883234347213515289176832147160939274867791596345485487490864237796913578442232187086884240265663559074039412388867944576045588591025048384785526007649252631045658201330420672810664433797013952494907279463413<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10245+8

c241

composite cofactor 合成数の残り
3998294061200554430109819810214308561680349717453886341827486938906066744855528307921953299925365177524256317304616696875999573515300138607527454952553577140420087429363471585456871734726516686213882076980488324981341294381064079326154174219<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10246+8

c226

name 名前Eric Jeancolas
date 日付June 25, 2022 20:31:12 UTC 2022 年 6 月 26 日 (日) 5 時 31 分 12 秒 (日本時間)
composite number 合成数
7398017179704021160708904845360499916057855840196647369867318626987866765737351858955476868339117037121451086620398812219907491315595909178300433598801459224165058380448947655919983958976803556922911487477693255103804527263199<226>
prime factors 素因数
3153433570895776811<19>
composite cofactor 合成数の残り
2346019668206459520813576055830954647717422926647763768017633515137497322888195257126552379337094747594256776944112241011556270974879175468843412067504398928554899344131807121913654966145965616137702703322909<208>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 7398017179704021160708904845360499916057855840196647369867318626987866765737351858955476868339117037121451086620398812219907491315595909178300433598801459224165058380448947655919983958976803556922911487477693255103804527263199 (226 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3610255030
Step 1 took 3230ms
Step 2 took 1685ms
********** Factor found in step 2: 3153433570895776811
Found prime factor of 19 digits: 3153433570895776811
Composite cofactor 2346019668206459520813576055830954647717422926647763768017633515137497322888195257126552379337094747594256776944112241011556270974879175468843412067504398928554899344131807121913654966145965616137702703322909 has 208 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10247+8

c245

composite cofactor 合成数の残り
11829652996845425867507886435331230283911671924290220820189274447949526813880126182965299684542586750788643533123028391167192429022082018927444794952681388012618296529968454258675078864353312302839116719242902208201892744479495268138801261829653<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10248+8

c232

composite cofactor 合成数の残り
9252280633052001606076305581317834687471870436969571732836904613358934403524883770515711625670455463602311151970331837730305403907237809945780893762908937221899212871362995943567733018670456519525256521059550643662782883460770073239<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10249+8

c220

name 名前Eric Jeancolas
date 日付June 21, 2022 08:36:41 UTC 2022 年 6 月 21 日 (火) 17 時 36 分 41 秒 (日本時間)
composite number 合成数
2899290527203524380736008767116173763067903448933918293271389175184055387395748719260797795915879224841132501030752012345820202038100102572467390175417473734167653332936045611557578892412749657185526211860701297372830699<220>
prime factors 素因数
83744208634009742329779948167<29>
34620788404299044123416132923629557264808139058077267925945530819492670671347960779698536554546669402680331220446263017947884591799589941935228332355852642643526201416495182462927933518825597<191>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2899290527203524380736008767116173763067903448933918293271389175184055387395748719260797795915879224841132501030752012345820202038100102572467390175417473734167653332936045611557578892412749657185526211860701297372830699 (220 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2613258214
Step 1 took 4143ms
Step 2 took 2068ms
********** Factor found in step 2: 83744208634009742329779948167
Found prime factor of 29 digits: 83744208634009742329779948167
Prime cofactor 34620788404299044123416132923629557264808139058077267925945530819492670671347960779698536554546669402680331220446263017947884591799589941935228332355852642643526201416495182462927933518825597 has 191 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10250+8

c215

name 名前Eric Jeancolas
date 日付June 21, 2022 08:41:26 UTC 2022 年 6 月 21 日 (火) 17 時 41 分 26 秒 (日本時間)
composite number 合成数
66981397624653036859545521951966715461149504070074375938580825110632822197558972238468112778707572536393053659679547544261926447585408770188608397289455678438062655222947743785326400658936200606815550512083183877019<215>
prime factors 素因数
1703169449226206432137<22>
4647044539515007591019<22>
composite cofactor 合成数の残り
8462905900177471609548037873590151063525404012383232997182220760618293797029095102894466041909866533169824885561395577761342102071097020058549614343822670486098765419504073<172>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]

Input number is 66981397624653036859545521951966715461149504070074375938580825110632822197558972238468112778707572536393053659679547544261926447585408770188608397289455678438062655222947743785326400658936200606815550512083183877019 (215 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2837885776
Step 1 took 4599ms
Step 2 took 2305ms
********** Factor found in step 2: 1703169449226206432137
Found prime factor of 22 digits: 1703169449226206432137
Composite cofactor 39327500651849059354648630996839883368576609743664710432646447044429475181884308175407316321373319293615997351209983841189646352666860481694233732564000368485125345188113601428916120593388720387 has 194 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:966178903
Step 1 took 3914ms
********** Factor found in step 1: 4647044539515007591019
Found prime factor of 22 digits: 4647044539515007591019
Composite cofactor 8462905900177471609548037873590151063525404012383232997182220760618293797029095102894466041909866533169824885561395577761342102071097020058549614343822670486098765419504073 has 172 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10251+8

c209

composite cofactor 合成数の残り
10701421111995506511367214063433603793300395460638527913083921330629058808579127578801249759340696194049038015645747662699002335336662925502567188836753999102902284739613945471456963252718670489875963412846411<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10252+8

c225

composite cofactor 合成数の残り
984350609893971614773936437361421028093112968629351407680291533652071873051168052174102113006404283749087487335497274600092657043921595701580869514824049991276535430641703340049114942954892289070431013584601315196721900235019<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10254+8

c230

name 名前Eric Jeancolas
date 日付June 26, 2022 05:43:16 UTC 2022 年 6 月 26 日 (日) 14 時 43 分 16 秒 (日本時間)
composite number 合成数
11602451944155137399621787399476132083456350227800566861405401378425494597361925807699742407264671844912360689245529127780956729261615048092409440421374780081801013900157221804624547631856531960157636847305152779776964685333406071<230>
prime factors 素因数
89487261402919000024665597961<29>
123064628895134245060312150976436511<36>
composite cofactor 合成数の残り
1053550395361920735125499107882988852945504073654648408923752579561523969438406164338305453480802182657787880089018925762691807217099322551580590514196665450027012001<166>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 11602451944155137399621787399476132083456350227800566861405401378425494597361925807699742407264671844912360689245529127780956729261615048092409440421374780081801013900157221804624547631856531960157636847305152779776964685333406071 (230 digits)

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:837732412
Step 1 took 3255ms
Step 2 took 1696ms
********** Factor found in step 2: 89487261402919000024665597961
Found prime factor of 29 digits: 89487261402919000024665597961
Composite cofactor 129654788427536738418992390518713054773761774205586224212327001168064152136530628442463004388970145337093674297334532407430962444784250805472371331210085913006014095891890998244808876714732604011568511 has 201 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3726050034
Step 1 took 2711ms
Step 2 took 1483ms
********** Factor found in step 2: 123064628895134245060312150976436511
Found prime factor of 36 digits: 123064628895134245060312150976436511
Composite cofactor 1053550395361920735125499107882988852945504073654648408923752579561523969438406164338305453480802182657787880089018925762691807217099322551580590514196665450027012001 has 166 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 26, 2022 18:17:21 UTC 2022 年 6 月 27 日 (月) 3 時 17 分 21 秒 (日本時間)
4511e64480Ignacio SantosJune 26, 2022 22:10:32 UTC 2022 年 6 月 27 日 (月) 7 時 10 分 32 秒 (日本時間)

3×10255+8

c206

composite cofactor 合成数の残り
88961115574348899619539085133170956398780725212447123573605352311473826382460939000527961080393226071881195608943503661937667519931300988362093902964071260553962664104068588674180477380124947296162799340009<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10256+8

c240

composite cofactor 合成数の残り
148470337223243214326135024059644162228487299348513388116239543823309313668275430679053159829105175256928489483569766210522389183314103986114751258198386939743849998477283777640060717853048121524732220548919950571870800163620267328382096747<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10258+8

c219

composite cofactor 合成数の残り
698496675190816388937135133690677432299610756909281572889405981007391995408781331453249758041448197868563648182197829046333805401399518766130133858074014324455691969869600897481202783533633142027248613878604059961927973<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10259+8

c231

name 名前Eric Jeancolas
date 日付June 26, 2022 05:46:52 UTC 2022 年 6 月 26 日 (日) 14 時 46 分 52 秒 (日本時間)
composite number 合成数
270022286961202319075747472499917193276535042384192654048149492660260190129144930873587524365320352864907528217932216911337789110701469483291531247480759231592195017796958549719199570234348879512476657015120341923648325072566646069<231>
prime factors 素因数
6777148002690536504555432622319<31>
210772117304764701289265020878493127<36>
composite cofactor 合成数の残り
189033807915392407150839740920380342067915119383450547603151312152537067362610303520328242476812312598214065934823290692594142456166848721427373318248501725650732813<165>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 270022286961202319075747472499917193276535042384192654048149492660260190129144930873587524365320352864907528217932216911337789110701469483291531247480759231592195017796958549719199570234348879512476657015120341923648325072566646069 (231 digits)

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2032365916
Step 1 took 3222ms
Step 2 took 1738ms
********** Factor found in step 2: 6777148002690536504555432622319
Found prime factor of 31 digits: 6777148002690536504555432622319
Composite cofactor 39843055936509446543815299177903072670002035109490482468299181521607350834096906031759553042041344769095540866985760878642886536474950427365235295167573730287079568186609043569720097198909638733876251 has 200 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:50287617
Step 1 took 2714ms
Step 2 took 1489ms
********** Factor found in step 2: 210772117304764701289265020878493127
Found prime factor of 36 digits: 210772117304764701289265020878493127
Composite cofactor 189033807915392407150839740920380342067915119383450547603151312152537067362610303520328242476812312598214065934823290692594142456166848721427373318248501725650732813 has 165 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 26, 2022 18:17:07 UTC 2022 年 6 月 27 日 (月) 3 時 17 分 7 秒 (日本時間)
4511e64480Ignacio SantosJune 26, 2022 19:23:01 UTC 2022 年 6 月 27 日 (月) 4 時 23 分 1 秒 (日本時間)

3×10261+8

c225

composite cofactor 合成数の残り
408294099229862436746282391901318930523489457969021519035786285029219319689842010223425452829479925672706492560102782659045286358171054456241127718565450763891403569901822139400420754958425824368096297584114368049037440544311<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10263+8

c243

composite cofactor 合成数の残り
650279877310162288293861977763103391571078353494128636675827736803218469985026730388008085326889793158612604860965056987762956090648700194322011034761832263982185721485918818142819892512382382699081717201745413739402329547199191599160217942071<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10264+8

c226

composite cofactor 合成数の残り
1698455753294290495811418596560600129196811657805193506287647988591316060434812819421373208776856530021367380598864788930916605242795535810219921593503326869362997109978303396976886199931515667222017802364132641196623920931237<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10267+8

c244

name 名前Eric Jeancolas
date 日付June 22, 2022 03:28:07 UTC 2022 年 6 月 22 日 (水) 12 時 28 分 7 秒 (日本時間)
composite number 合成数
1434138063436015405945175699015259632111090242004868617116734783827592165853055250888568411576601189216074357731651189007583104583048466770845511642576669649416972094996232297531727308213184451966584356926229842830497899301814170396552802185999<244>
prime factors 素因数
434037004522575830282297<24>
156477004708734712901606010966797<33>
composite cofactor 合成数の残り
21116098576776442146615276202047282731583662468983844199565004741668928264383910554206059663611555314874701826042532605012293012403359659496140997177037294248439098803385004589519200611811<188>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]

Input number is 1434138063436015405945175699015259632111090242004868617116734783827592165853055250888568411576601189216074357731651189007583104583048466770845511642576669649416972094996232297531727308213184451966584356926229842830497899301814170396552802185999 (244 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:456028677
Step 1 took 4941ms
Step 2 took 2587ms
********** Factor found in step 2: 156477004708734712901606010966797
Found prime factor of 33 digits: 156477004708734712901606010966797
Composite cofactor 9165168173467473673178002482511820203784668132096332063228927564504875841600290359281372673799983706110529557088939911921726835026379074099206437348438209985458974183999597766643701491846395655505142903242409867 has 211 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2708213480
Step 1 took 4262ms
Step 2 took 2267ms
********** Factor found in step 2: 434037004522575830282297
Found prime factor of 24 digits: 434037004522575830282297
Composite cofactor 21116098576776442146615276202047282731583662468983844199565004741668928264383910554206059663611555314874701826042532605012293012403359659496140997177037294248439098803385004589519200611811 has 188 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10268+8

c259

composite cofactor 合成数の残り
2412652547525004092453841564129775144520573683250656309208041634981595639776596532081665318919278888417858332430416882497470190653202213392152661525410459060978270272406480654187688668584788063686278458051470400970880208279829412185650360633040988535472055927<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10269+8

c231

composite cofactor 合成数の残り
766047767226822994579380494383184740127034500476070461726150980601597969892263438823638265083296313665908179619284472255876004247268007951057531182625775503131396210088762805942950419170869619888883375315178359598360778623016397663<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10270+8

c240

composite cofactor 合成数の残り
153522720677808455742643595080952510201085932283644605409221460879086741518425107734060331863606682832868966775056807273318998404340567992884323682188173499685037731125855627359861123848999332649344534410864603404368396779199867885852445913<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10271+8

c221

name 名前Eric Jeancolas
date 日付June 22, 2022 14:55:12 UTC 2022 年 6 月 22 日 (水) 23 時 55 分 12 秒 (日本時間)
composite number 合成数
28227162015693350832263902010894923297060216067102568815598677991993247400500499690754389769370218500665009288408521520408216594637444235073279170228529713388367651638098836318662337121782577753520608927609843067789314173<221>
prime factors 素因数
12254790116705107288738499759170803917<38>
composite cofactor 合成数の残り
2303357442018979797868800399851545669654752098622953943197749021786425927966958565896681891861741428529486041269499763915216327698479564296512395380342705075398385166159085431452806769<184>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 28227162015693350832263902010894923297060216067102568815598677991993247400500499690754389769370218500665009288408521520408216594637444235073279170228529713388367651638098836318662337121782577753520608927609843067789314173 (221 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:4040218894
Step 1 took 4405ms
Step 2 took 2347ms
********** Factor found in step 2: 12254790116705107288738499759170803917
Found prime factor of 38 digits: 12254790116705107288738499759170803917
Composite cofactor 2303357442018979797868800399851545669654752098622953943197749021786425927966958565896681891861741428529486041269499763915216327698479564296512395380342705075398385166159085431452806769 has 184 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 22, 2022 21:40:24 UTC 2022 年 6 月 23 日 (木) 6 時 40 分 24 秒 (日本時間)
4511e64480Ignacio SantosJune 23, 2022 15:27:33 UTC 2022 年 6 月 24 日 (金) 0 時 27 分 33 秒 (日本時間)

3×10272+8

c201

composite cofactor 合成数の残り
192648446550133478955299538658728215912722777047927089833292633635459774139559724741517999206053769121597107443034979054408977735204260057448901870143716307357447324032407353829978116140517638627162683<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10273+8

c232

name 名前Eric Jeancolas
date 日付June 26, 2022 15:40:04 UTC 2022 年 6 月 27 日 (月) 0 時 40 分 4 秒 (日本時間)
composite number 合成数
2570931931070470641896462129237179366110174807753407599189853181289169369599978145891813222805520516832839576261763434110590403107680606145848623259975042397136171117141234347055516312306249726224935494160728293515755446170806472463<232>
prime factors 素因数
3488893651454971575433671662612807<34>
composite cofactor 合成数の残り
736890311918311463533107918341670916657445975748416326183707452654459645041802513371909699847057388218091443558964914906329971909208879596328743601122942536977247910902263323116720387576718579439609<198>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2570931931070470641896462129237179366110174807753407599189853181289169369599978145891813222805520516832839576261763434110590403107680606145848623259975042397136171117141234347055516312306249726224935494160728293515755446170806472463 (232 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2532476528
Step 1 took 3651ms
Step 2 took 1887ms
********** Factor found in step 2: 3488893651454971575433671662612807
Found prime factor of 34 digits: 3488893651454971575433671662612807
Composite cofactor 736890311918311463533107918341670916657445975748416326183707452654459645041802513371909699847057388218091443558964914906329971909208879596328743601122942536977247910902263323116720387576718579439609 has 198 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10275+8

c252

composite cofactor 合成数の残り
119520330081681136737059205815696235948922216437240327529924326295534739042746386565497755481258303301231653628162546797636688665752656962632257467922314214732427933956653227755636588337325143635680038159167471034115755336691032565171403020299145402289<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10276+8

c233

composite cofactor 合成数の残り
92771993996693946477438862341003338634039893285704614340961802162351026325121838861164400588823491286402385830693058933669484780884583324127546444012020732578102674109758101013515753936048781695405171933342121482011807254320553203699<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10277+8

c241

name 名前Eric Jeancolas
date 日付June 22, 2022 21:14:00 UTC 2022 年 6 月 23 日 (木) 6 時 14 分 0 秒 (日本時間)
composite number 合成数
1497191284579113814994455281872121174020870428655455830521582138624735300760831605290574803844210615691313653022434677193083179875932200984805893889705531822838345660461208999947057981840529924707564648696526164920862148273063200495977205899<241>
prime factors 素因数
7920187998611591867405112458813291783<37>
189034816451525051109813871058645427922960439024127942171597666752133801474321605457831171697925785990494920699895822192684318833068241609079447952233113373443963189248365992097180524280681051848238805853<204>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1497191284579113814994455281872121174020870428655455830521582138624735300760831605290574803844210615691313653022434677193083179875932200984805893889705531822838345660461208999947057981840529924707564648696526164920862148273063200495977205899 (241 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3748800594
Step 1 took 4876ms
Step 2 took 2378ms
********** Factor found in step 2: 7920187998611591867405112458813291783
Found prime factor of 37 digits: 7920187998611591867405112458813291783
Prime cofactor 189034816451525051109813871058645427922960439024127942171597666752133801474321605457831171697925785990494920699895822192684318833068241609079447952233113373443963189248365992097180524280681051848238805853 has 204 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10278+8

c226

name 名前Eric Jeancolas
date 日付June 22, 2022 21:19:09 UTC 2022 年 6 月 23 日 (木) 6 時 19 分 9 秒 (日本時間)
composite number 合成数
9241979747051630949954277523476720990370506887193269324712067109252871918653247462217336418216077158412531107027397713055687702215274581636581678830836800050999612434880853698286721242400358886724376233185923854428309451280191<226>
prime factors 素因数
1229976836182638536604792192491<31>
composite cofactor 合成数の残り
7513946177828095956035209784431181259366948826109912132659762277841176095824987182284824630431331264109920484180019841046571001231985531595068716476655754746044961915336639341052574146485366184701<196>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 9241979747051630949954277523476720990370506887193269324712067109252871918653247462217336418216077158412531107027397713055687702215274581636581678830836800050999612434880853698286721242400358886724376233185923854428309451280191 (226 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2733790433
Step 1 took 5341ms
Step 2 took 2696ms
********** Factor found in step 2: 1229976836182638536604792192491
Found prime factor of 31 digits: 1229976836182638536604792192491
Composite cofactor 7513946177828095956035209784431181259366948826109912132659762277841176095824987182284824630431331264109920484180019841046571001231985531595068716476655754746044961915336639341052574146485366184701 has 196 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10279+8

c237

name 名前Eric Jeancolas
date 日付June 22, 2022 21:23:02 UTC 2022 年 6 月 23 日 (木) 6 時 23 分 2 秒 (日本時間)
composite number 合成数
145711404346976657531066433713816299429142457380376131659876738044879294562756044249343744760781807372113025509612696241070102583629129071642723408675065205018301264423199974010285373369713486747334829245290199418882193404217187136927367<237>
prime factors 素因数
519804656096288446706157415699<30>
composite cofactor 合成数の残り
280319544348185145968376778220706222750678815933741557944393504253333289596269433501562543186969886018223102951182745649430432464245153127815725895941840183538533243534237544915318372861640725829626294780733<207>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 145711404346976657531066433713816299429142457380376131659876738044879294562756044249343744760781807372113025509612696241070102583629129071642723408675065205018301264423199974010285373369713486747334829245290199418882193404217187136927367 (237 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3985483194
Step 1 took 4793ms
Step 2 took 2477ms
********** Factor found in step 2: 519804656096288446706157415699
Found prime factor of 30 digits: 519804656096288446706157415699
Composite cofactor 280319544348185145968376778220706222750678815933741557944393504253333289596269433501562543186969886018223102951182745649430432464245153127815725895941840183538533243534237544915318372861640725829626294780733 has 207 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10280+8

c250

name 名前Eric Jeancolas
date 日付June 22, 2022 21:35:36 UTC 2022 年 6 月 23 日 (木) 6 時 35 分 36 秒 (日本時間)
composite number 合成数
2214332071718145228139536008597239025633191711704682847281668201424973827041686547719126492362112602790943967103517751200292718403543342947917905489701355867340008161767943104490951959252297970264594180360852038506727977523384471960789714995805845101<250>
prime factors 素因数
78395629218073149122479<23>
34301818797924259902874691<26>
12615455928247444044710534290863971<35>
composite cofactor 合成数の残り
65272583268640596698565853987402614498640861621824936899908680104727803625280100338114252785611736767651172311101241154146057601271858996934357414247232789387644747179<167>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3543336320
Step 1 took 6683ms
Step 2 took 3179ms
********** Factor found in step 2: 78395629218073149122479
Found prime factor of 23 digits: 78395629218073149122479

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:742751138
Step 1 took 4727ms
Step 2 took 2414ms
********** Factor found in step 2: 34301818797924259902874691
Found prime factor of 26 digits: 34301818797924259902874691

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2934890764
Step 1 took 3485ms
Step 2 took 1850ms
********** Factor found in step 2: 12615455928247444044710534290863971
Found prime factor of 35 digits: 12615455928247444044710534290863971
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 24, 2022 16:20:23 UTC 2022 年 6 月 25 日 (土) 1 時 20 分 23 秒 (日本時間)
4511e64480Ignacio SantosJune 25, 2022 10:32:07 UTC 2022 年 6 月 25 日 (土) 19 時 32 分 7 秒 (日本時間)

3×10281+8

c238

name 名前Eric Jeancolas
date 日付June 23, 2022 03:18:53 UTC 2022 年 6 月 23 日 (木) 12 時 18 分 53 秒 (日本時間)
composite number 合成数
2127520306302244005373752715689553809292627247870019858922440773147028583720116339459736272798637969259033009990025969412347895004527542684240502662708511781887956884295363334490006190485895251411978974553648791933528059356006494817574979<238>
prime factors 素因数
476896965383156870013189172259074291<36>
composite cofactor 合成数の残り
4461173923790675766094799245806172872125868931535477117197195867472562033111566164556111125388376877314445920267125574715279497409958235485732305145893171589681940599091669568134835382086579725940057969<202>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1682756920
Step 1 took 5560ms
********** Factor found in step 1: 476896965383156870013189172259074291
Found prime factor of 36 digits: 476896965383156870013189172259074291
Composite cofactor 4461173923790675766094799245806172872125868931535477117197195867472562033111566164556111125388376877314445920267125574715279497409958235485732305145893171589681940599091669568134835382086579725940057969 has 202 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10282+8

c261

composite cofactor 合成数の残り
378713047833028890476363722016485609894894270545974283258122584318418585458108968275698602977024494218509175073927026410265084093819799102558264443033695646296129653215671659481780536511962342080468472801159743379731926086661268571521717412002821738393686230563<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10283+8

c257

composite cofactor 合成数の残り
49832412871742155630374040465217221350285699509167195394805297866194526665377395705021407262849749882175137104842389192105298580340837900628844675866563587317681637481379171673927043523957827257752595782000414677044447153706114948495582559812228217695928603<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10284+8

c234

composite cofactor 合成数の残り
836696628267747031603844363516768991139528383034252507444403973657215900169059467717252632854864833584752510677110163532004421572156338796332828995635754919443501495316049207041347266522771862527697336248707925286209038140591189442237<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10285+8

c259

composite cofactor 合成数の残り
8104831424514246302968834300007818121820978341182441705211767537772109471128799001133606775165068509509883507161131634102492620019472038195284601795631649279084236449201487315066244997686631415504247095240843552190491442649054724354831857797196231244026442051<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10286+8

c242

composite cofactor 合成数の残り
98898233938670940520630413383358363006598927110584000127798912461268094310112701215597402883713878520344575292579384874581334213347607731528667657377044547624504379879309581975530319565831527968704456905106722670458451283581595096909469541091<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10287+8

c242

name 名前Eric Jeancolas
date 日付June 24, 2022 16:49:47 UTC 2022 年 6 月 25 日 (土) 1 時 49 分 47 秒 (日本時間)
composite number 合成数
65425037633119748999448831209423821492188105894767680566102901724212617387901760488694527024937024353925059378132431941537890109962946770913015551316671113887871265811122740433987611124292395136324946571733346733093490468434959483451193269103<242>
prime factors 素因数
97814418101698401849921765641105941<35>
composite cofactor 合成数の残り
668869057372470741663104565405577375074861258489706644550297721681484592404848312644536858519579292759195308722864049019803174684415577377042443479925761498851170498527554062077129266188292191353756583636083<207>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:888075897
Step 1 took 3998ms
********** Factor found in step 1: 97814418101698401849921765641105941
Found prime factor of 35 digits: 97814418101698401849921765641105941
Composite cofactor 668869057372470741663104565405577375074861258489706644550297721681484592404848312644536858519579292759195308722864049019803174684415577377042443479925761498851170498527554062077129266188292191353756583636083 has 207 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10288+8

c232

name 名前Eric Jeancolas
date 日付June 23, 2022 12:36:01 UTC 2022 年 6 月 23 日 (木) 21 時 36 分 1 秒 (日本時間)
composite number 合成数
1446951069948430072174294923158614094947253006689622721608149072972345628230360274252252128850741860371674710231146625083601869816552590156434736516056532485561324429898047559284811040918157580385765132122020989925067461143308288357<232>
prime factors 素因数
301631250615339732093647051499871<33>
composite cofactor 合成数の残り
4797086067828159106083168473839565203171592249627132998067737328895344159977808814016976466271512373797776812679490857415506957756406559390443531055495733947045622299894990993244509447558969919707067<199>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1234767147
Step 1 took 3738ms
Step 2 took 1762ms
********** Factor found in step 2: 301631250615339732093647051499871
Found prime factor of 33 digits: 301631250615339732093647051499871
Composite cofactor 4797086067828159106083168473839565203171592249627132998067737328895344159977808814016976466271512373797776812679490857415506957756406559390443531055495733947045622299894990993244509447558969919707067 has 199 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

c199

name 名前Eric Jeancolas
date 日付June 24, 2022 16:41:04 UTC 2022 年 6 月 25 日 (土) 1 時 41 分 4 秒 (日本時間)
composite number 合成数
4797086067828159106083168473839565203171592249627132998067737328895344159977808814016976466271512373797776812679490857415506957756406559390443531055495733947045622299894990993244509447558969919707067<199>
prime factors 素因数
2492252137382253856292048707541<31>
composite cofactor 合成数の残り
1924799660465652562215275882924098634167175589416563972023692539621684022679733638325366627239941115746961767717755306101267475922010071410081422264698563419187851211087<169>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3224324176
Step 1 took 3083ms
Step 2 took 1839ms
********** Factor found in step 2: 2492252137382253856292048707541
Found prime factor of 31 digits: 2492252137382253856292048707541
Composite cofactor 1924799660465652562215275882924098634167175589416563972023692539621684022679733638325366627239941115746961767717755306101267475922010071410081422264698563419187851211087 has 169 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 26, 2022 18:17:38 UTC 2022 年 6 月 27 日 (月) 3 時 17 分 38 秒 (日本時間)
4511e64480Ignacio SantosJune 26, 2022 22:10:50 UTC 2022 年 6 月 27 日 (月) 7 時 10 分 50 秒 (日本時間)

3×10289+8

c243

composite cofactor 合成数の残り
266078774290566611222666179582543726029614518789987830179335096003740461892475016205767150390139034922101481034142090643427977028585981483531374623309626485842919738416675318394163096374790769053993687072783181879482270909573137956673347932631<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10290+8

c266

composite cofactor 合成数の残り
41046748552977786234038624261646545519672796483682312493633114861866034567639939541221625554806397960957856727624260466807036500289048564158328568129869775033327571273939743327022346215013880702187195383326305680796130364401887719156137920603271898013574088279602777<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10292+8

c249

composite cofactor 合成数の残り
596119508960151836308636223924762913670493129386609546786610533790778353693975355669949479997891385769618150341087052653986553002248104635960299030684454390784192160121243670765148361587202385076552206682314623117830806622910879945714150933860279487<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10293+8

c293

composite cofactor 合成数の残り
37500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<293>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10294+8

c250

composite cofactor 合成数の残り
8295649100927135741203995952751230999280093856738039049156345636263236625464458434040667835410466098700361859901025291751967319104158258286713466398336249671055022947865367814499183800771404439559511579706323596106221312733922046019137939204801970687<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10296+8

c283

composite cofactor 合成数の残り
1229109650318598019670027344619692441137261320934110626387652905847683184861026900950624158066031044435264303399454488977328115191499732730887743926474452739215919561087689622213391009745733597532597106209494766222258837995699248094049336539687309671353160468821660690632345254065693<283>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10297+8

c253

composite cofactor 合成数の残り
3910917432167448610754958370679583497907671677881449868663627320849393083382847466060353129772489722053767710408470153919468560451708835809226937444222146497857640791225856451590980754544751918186718163129213317125045541481206125041313284372573189105069<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10299+8

c254

name 名前Eric Jeancolas
date 日付June 24, 2022 16:35:20 UTC 2022 年 6 月 25 日 (土) 1 時 35 分 20 秒 (日本時間)
composite number 合成数
52661569637570575150493723817548067854720424265085960755755819375224877861404089127584145209309102596949468354078891342365672972616544313080243197403983505724216169869860603977076847050348250069611245782252023078835819208875150187579601423911354916417299<254>
prime factors 素因数
127036620015726595107079<24>
414538497883927453658452751100960064123450065739333499764674440056663628286706532553062912368736804909926211576902014553452656608836079821313316834539190452125754421644640739774394898889229454864368659252501494818242124191240684181<231>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3778026693
Step 1 took 4311ms
Step 2 took 2042ms
********** Factor found in step 2: 127036620015726595107079
Found prime factor of 24 digits: 127036620015726595107079
Prime cofactor 414538497883927453658452751100960064123450065739333499764674440056663628286706532553062912368736804909926211576902014553452656608836079821313316834539190452125754421644640739774394898889229454864368659252501494818242124191240684181 has 231 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

3×10300+8

c298

name 名前Dmitry Domanov
date 日付June 13, 2022 08:26:36 UTC 2022 年 6 月 13 日 (月) 17 時 26 分 36 秒 (日本時間)
composite number 合成数
1175548589341692789968652037617554858934169278996865203761755485893416927899686520376175548589341692789968652037617554858934169278996865203761755485893416927899686520376175548589341692789968652037617554858934169278996865203761755485893416927899686520376175548589341692789968652037617554858934169279<298>
prime factors 素因数
36092819211560539292979010491189841157<38>
composite cofactor 合成数の残り
32570151487783040065649884865774549848127571030982197283929820196756716410816281884815489945233458919664232090815206900123885631749630284381114531849910351537437179146353154558947108290261839975364212079425763596535622122954854120167025981700575921140212725747<260>
factorization results 素因数分解の結果
Resuming ECM residue saved by @dabc1cadd2ca with GMP-ECM 7.0.5-dev on Sun Jun 12 23:37:59 2022 
Input number is 1175548589341692789968652037617554858934169278996865203761755485893416927899686520376175548589341692789968652037617554858934169278996865203761755485893416927899686520376175548589341692789968652037617554858934169278996865203761755485893416927899686520376175548589341692789968652037617554858934169279 (298 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3941400129
Step 1 took 0ms
Step 2 took 26570ms
********** Factor found in step 2: 36092819211560539292979010491189841157
Found prime factor of 38 digits: 36092819211560539292979010491189841157
Composite cofactor 32570151487783040065649884865774549848127571030982197283929820196756716410816281884815489945233458919664232090815206900123885631749630284381114531849910351537437179146353154558947108290261839975364212079425763596535622122954854120167025981700575921140212725747 has 260 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJune 12, 2022 15:50:43 UTC 2022 年 6 月 13 日 (月) 0 時 50 分 43 秒 (日本時間)
4511e63584Dmitry DomanovJune 15, 2022 09:04:49 UTC 2022 年 6 月 15 日 (水) 18 時 4 分 49 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovJune 15, 2022 09:04:49 UTC 2022 年 6 月 15 日 (水) 18 時 4 分 49 秒 (日本時間)