Table of contents 目次

58×10110+59

c103

name 名前Dmitry Domanov
date 日付October 5, 2022 21:14:00 UTC 2022 年 10 月 6 日 (木) 6 時 14 分 0 秒 (日本時間)
composite number 合成数
3758259045592512881862162667942219786740765538770684676166256062286482490525437045757493974206698823951<103>
prime factors 素因数
2825080462380770206925985741532799879<37>
1330319293782283404957069643617802418264123434039764646673441523769<67>
factorization results 素因数分解の結果
N=3758259045592512881862162667942219786740765538770684676166256062286482490525437045757493974206698823951
  ( 103 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=2825080462380770206925985741532799879 (pp37)
 r2=1330319293782283404957069643617802418264123434039764646673441523769 (pp67)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.15 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3758259045592512881862162667942219786740765538770684676166256062286482490525437045757493974206698823951
m: 1000000000000000000000000000
deg: 4
c4: 1160
c0: 1
skew: 0.17
# Murphy_E = 1.196e-07
type: snfs
lss: 1
rlim: 500000
alim: 500000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [250000, 430001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 50209 x 50436
Total sieving time: 0.14 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,111.000,4,0,0,0,0,0,0,0,0,500000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.15 hours.
 --------- CPU info (if available) ----------

ECM

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

58×10113+59

c107

name 名前Dmitry Domanov
date 日付October 5, 2022 21:13:58 UTC 2022 年 10 月 6 日 (木) 6 時 13 分 58 秒 (日本時間)
composite number 合成数
13424486988726821769717484333073974559277853331022007004550125709326457496263045230765253275340475368722341<107>
prime factors 素因数
112871754333585579884380218385363331193728938511<48>
118935752066469791438159861357290436515993330362635322443531<60>
factorization results 素因数分解の結果
N=13424486988726821769717484333073974559277853331022007004550125709326457496263045230765253275340475368722341
  ( 107 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=112871754333585579884380218385363331193728938511 (pp48)
 r2=118935752066469791438159861357290436515993330362635322443531 (pp60)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.27 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 13424486988726821769717484333073974559277853331022007004550125709326457496263045230765253275340475368722341
m: 10000000000000000000000000000
deg: 4
c4: 116
c0: 1
skew: 0.30
# Murphy_E = 8.58e-08
type: snfs
lss: 1
rlim: 560000
alim: 560000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 560000/560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [280000, 560001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 55716 x 55941
Total sieving time: 0.26 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,114.000,4,0,0,0,0,0,0,0,0,560000,560000,25,25,45,45,2.2,2.2,20000
total time: 0.27 hours.
 --------- CPU info (if available) ----------

ECM

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

58×10124+59

c119

name 名前Dmitry Domanov
date 日付October 5, 2022 23:45:42 UTC 2022 年 10 月 6 日 (木) 8 時 45 分 42 秒 (日本時間)
composite number 合成数
90276659047627941871170538056670394470087685096335312415608834349334871149525386029998311203878160753156375516658767459<119>
prime factors 素因数
297514937038712992564434336312858292426142731225729151<54>
303435719719447353696691172635572459254720301750797357645775790109<66>
factorization results 素因数分解の結果
N=90276659047627941871170538056670394470087685096335312415608834349334871149525386029998311203878160753156375516658767459
  ( 119 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=297514937038712992564434336312858292426142731225729151 (pp54)
 r2=303435719719447353696691172635572459254720301750797357645775790109 (pp66)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.36 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 90276659047627941871170538056670394470087685096335312415608834349334871149525386029998311203878160753156375516658767459
m: 10000000000000000000000000000000
deg: 4
c4: 58
c0: 5
skew: 0.54
# Murphy_E = 1.85e-08
type: snfs
lss: 1
rlim: 870000
alim: 870000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 870000/870000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [435000, 885001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 109305 x 109531
Total sieving time: 1.34 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,125.000,4,0,0,0,0,0,0,0,0,870000,870000,26,26,46,46,2.3,2.3,75000
total time: 1.36 hours.
 --------- CPU info (if available) ----------

ECM

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

58×10125+59

c125

name 名前Dmitry Domanov
date 日付October 6, 2022 00:17:03 UTC 2022 年 10 月 6 日 (木) 9 時 17 分 3 秒 (日本時間)
composite number 合成数
42962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963<125>
prime factors 素因数
3579680545867470476253718715407011144133<40>
12001898608679247455290212815390005796689112215313033411868458559472256835399085867511<86>
factorization results 素因数分解の結果
N=42962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963
  ( 125 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=3579680545867470476253718715407011144133 (pp40)
 r2=12001898608679247455290212815390005796689112215313033411868458559472256835399085867511 (pp86)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.92 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 42962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963
m: 10000000000000000000000000000000
deg: 4
c4: 116
c0: 1
skew: 0.30
# Murphy_E = 2.318e-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, 740001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 112669 x 112894
Total sieving time: 0.90 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,126.000,4,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,75000
total time: 0.92 hours.
 --------- CPU info (if available) ----------

ECM

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

58×10126+59

c100

name 名前Ignacio Santos
date 日付October 6, 2022 07:23:25 UTC 2022 年 10 月 6 日 (木) 16 時 23 分 25 秒 (日本時間)
composite number 合成数
8253000434254108716406304916962020838852002213801232278092402641647369949305692819511616923959294511<100>
prime factors 素因数
50110930286754857714652432446168525187493<41>
164694616264897248225016224165204296474523018408850586895427<60>
factorization results 素因数分解の結果
Number: 1
N=8253000434254108716406304916962020838852002213801232278092402641647369949305692819511616923959294511
  ( 100 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=50110930286754857714652432446168525187493 (pp41)
 r2=164694616264897248225016224165204296474523018408850586895427 (pp60)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.37 hours.
Scaled time: 10.45 units (timescale=7.634).
Factorization parameters were as follows:
n: 8253000434254108716406304916962020838852002213801232278092402641647369949305692819511616923959294511
m: 10000000000000000000000000000000
deg: 4
c4: 1160
c0: 1
skew: 0.17
# Murphy_E = 2.105e-08
type: snfs
lss: 1
rlim: 920000
alim: 920000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 920000/920000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [460000, 760001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 124299 x 124524
Total sieving time: 1.35 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,127.000,4,0,0,0,0,0,0,0,0,920000,920000,26,26,46,46,2.3,2.3,75000
total time: 1.37 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

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

58×10136+59

c137

name 名前Bob Backstrom
date 日付October 6, 2022 06:09:11 UTC 2022 年 10 月 6 日 (木) 15 時 9 分 11 秒 (日本時間)
composite number 合成数
12888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<137>
prime factors 素因数
261202573391702451145096305475832340598241240693856687543307979<63>
49344417711997651419658503960058387861719894891886831820312465720252273291<74>
factorization results 素因数分解の結果
Number: n
N=12888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889  ( 137 digits)
SNFS difficulty: 137 digits.
Divisors found:

Thu Oct  6 17:05:30 2022  p63 factor: 261202573391702451145096305475832340598241240693856687543307979
Thu Oct  6 17:05:30 2022  p74 factor: 49344417711997651419658503960058387861719894891886831820312465720252273291
Thu Oct  6 17:05:30 2022  elapsed time 00:02:40 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 58x10^136+5 = 64(135)5
#
n: 12888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
m: 1000000000000000000000000000
deg: 5
c5: 116
c0: 1
skew: 0.39
# Murphy_E = 5.074e-09
type: snfs
lss: 1
rlim: 1350000
alim: 1350000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1350000/1350000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 4875000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 298839 hash collisions in 4773107 relations (4793056 unique)
Msieve: matrix is 203684 x 203909 (70.0 MB)

Sieving start time : 2022/10/06 16:49:33
Sieving end time  : 2022/10/06 16:57:44

Total sieving time: 0hrs 8min 11secs.

Total relation processing time: 0hrs 1min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 26sec.

Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1350000,1350000,26,26,48,48,2.3,2.3,75000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

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

58×10139+59

c101

name 名前Dmitry Domanov
date 日付October 6, 2022 10:41:21 UTC 2022 年 10 月 6 日 (木) 19 時 41 分 21 秒 (日本時間)
composite number 合成数
13135935802089459015583434425248078018013525846313698599427523216341068005041556042392848077753102551<101>
prime factors 素因数
7478769950550630504996184297590570861024457<43>
1756429986340509790010898574537355043696353534570326083743<58>
factorization results 素因数分解の結果
N=13135935802089459015583434425248078018013525846313698599427523216341068005041556042392848077753102551
  ( 101 digits)
Divisors found:
 r1=7478769950550630504996184297590570861024457 (pp43)
 r2=1756429986340509790010898574537355043696353534570326083743 (pp58)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.95 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 13135935802089459015583434425248078018013525846313698599427523216341068005041556042392848077753102551
skew: 630395.59
c0: 335429709684424407139966775
c1: 3373101710347395216982
c2: -9451204505055023
c3: -22753798414
c4: 10080
Y0: -1068445940274090575787744
Y1: 10601823093833
rlim: 1940000
alim: 1940000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 1940000/1940000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [970000, 1320001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 228730 x 228959
Total sieving time: 1.90 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,100,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1940000,1940000,26,26,52,52,2.5,2.5,100000
total time: 1.95 hours.
 --------- CPU info (if available) ----------

ECM

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

58×10141+59

c137

name 名前Bob Backstrom
date 日付October 6, 2022 01:28:37 UTC 2022 年 10 月 6 日 (木) 10 時 28 分 37 秒 (日本時間)
composite number 合成数
22400265713496739409598513858233352837012963188252991690660054726166406939447833450162305373553396633394547852567630457409563754825229651<137>
prime factors 素因数
3333181843940701696643105148639569<34>
267389749412217060322369657736626345303<39>
25133293811526473495194742647569820039261005668535316128827041493<65>
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 22400265713496739409598513858233352837012963188252991690660054726166406939447833450162305373553396633394547852567630457409563754825229651 (137 digits)
Using B1=15760000, B2=46848203230, polynomial Dickson(12), sigma=1:3522625424
Step 1 took 31080ms
Step 2 took 12077ms
********** Factor found in step 2: 3333181843940701696643105148639569
Found prime factor of 34 digits: 3333181843940701696643105148639569
Composite cofactor 6720385134167689545941123282826248854787791214408046284996960430904551681112547899386791400186526657379 has 103 digits

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 6720385134167689545941123282826248854787791214408046284996960430904551681112547899386791400186526657379 (103 digits)
Using B1=15990000, B2=58558467250, polynomial Dickson(12), sigma=1:423016996
Step 1 took 20159ms
Step 2 took 10641ms
********** Factor found in step 2: 267389749412217060322369657736626345303
Found prime factor of 39 digits: 267389749412217060322369657736626345303
Prime cofactor 25133293811526473495194742647569820039261005668535316128827041493 has 65 digits

ECM

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

58×10142+59

c110

name 名前Ignacio Santos
date 日付October 6, 2022 12:59:16 UTC 2022 年 10 月 6 日 (木) 21 時 59 分 16 秒 (日本時間)
composite number 合成数
11810087488616861670944821312077625911818980948852593130294686725361346109526686039532086713851308351789988911<110>
prime factors 素因数
4953201907225401644734065379992717309607453981030451<52>
2384333954040737002427379897791921510510903560447229501461<58>
factorization results 素因数分解の結果
Number: 1
N=11810087488616861670944821312077625911818980948852593130294686725361346109526686039532086713851308351789988911
  ( 110 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=4953201907225401644734065379992717309607453981030451 (pp52)
 r2=2384333954040737002427379897791921510510903560447229501461 (pp58)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.97 hours.
Scaled time: 46.67 units (timescale=7.819).
Factorization parameters were as follows:
n: 11810087488616861670944821312077625911818980948852593130294686725361346109526686039532086713851308351789988911
m: 100000000000000000000000000000000000
deg: 4
c4: 1160
c0: 1
skew: 0.17
# Murphy_E = 3.423e-09
type: snfs
lss: 1
rlim: 1700000
alim: 1700000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1700000/1700000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [850000, 1450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 258232 x 258458
Total sieving time: 5.93 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,143.000,4,0,0,0,0,0,0,0,0,1700000,1700000,26,26,48,48,2.3,2.3,100000
total time: 5.97 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

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

58×10143+59

c139

name 名前Ignacio Santos
date 日付October 6, 2022 13:40:27 UTC 2022 年 10 月 6 日 (木) 22 時 40 分 27 秒 (日本時間)
composite number 合成数
4321794886124430435867917006635445424299664315759276024842869224722157022730405689866508697612208325416252184182975853833916403074435465543<139>
prime factors 素因数
555222910049936183424426125070656436771754401607<48>
7783891492762308029633554409924728877226795934016839553738442236458597970287183674045992449<91>
factorization results 素因数分解の結果
Number: 1
N=4321794886124430435867917006635445424299664315759276024842869224722157022730405689866508697612208325416252184182975853833916403074435465543
  ( 139 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=555222910049936183424426125070656436771754401607 (pp48)
 r2=7783891492762308029633554409924728877226795934016839553738442236458597970287183674045992449 (pp91)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.94 hours.
Scaled time: 54.14 units (timescale=7.806).
Factorization parameters were as follows:
n: 4321794886124430435867917006635445424299664315759276024842869224722157022730405689866508697612208325416252184182975853833916403074435465543
m: 200000000000000000000000000000000000
deg: 4
c4: 725
c0: 1
skew: 0.19
# Murphy_E = 2.834e-09
type: snfs
lss: 1
rlim: 1760000
alim: 1760000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1760000/1760000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [880000, 1580001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 294743 x 294991
Total sieving time: 6.89 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,144.000,4,0,0,0,0,0,0,0,0,1760000,1760000,26,26,49,49,2.3,2.3,100000
total time: 6.94 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

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

58×10146+59

c131

name 名前Ignacio Santos
date 日付October 7, 2022 11:04:22 UTC 2022 年 10 月 7 日 (金) 20 時 4 分 22 秒 (日本時間)
composite number 合成数
17589017942560021528985771049252472875403149390771592302090176416147079941764717417570305231857753007536952032655829282585808922869<131>
prime factors 素因数
40208225863818219938127634786230087987661508251872679561931333293<65>
437448247583280659281600416949276029950665280318337476046259299433<66>
factorization results 素因数分解の結果
Number: 1
N=17589017942560021528985771049252472875403149390771592302090176416147079941764717417570305231857753007536952032655829282585808922869
  ( 131 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=40208225863818219938127634786230087987661508251872679561931333293 (pp65)
 r2=437448247583280659281600416949276029950665280318337476046259299433 (pp66)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.64 hours.
Scaled time: 35.98 units (timescale=7.752).
Factorization parameters were as follows:
n: 17589017942560021528985771049252472875403149390771592302090176416147079941764717417570305231857753007536952032655829282585808922869
m: 100000000000000000000000000000
deg: 5
c5: 116
c0: 1
skew: 0.39
# Murphy_E = 2.155e-09
type: snfs
lss: 1
rlim: 1980000
alim: 1980000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1980000/1980000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [990000, 1990001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 320674 x 320899
Total sieving time: 4.59 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,147.000,5,0,0,0,0,0,0,0,0,1980000,1980000,26,26,49,49,2.3,2.3,100000
total time: 4.64 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

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

58×10148+59

c119

name 名前Ignacio Santos
date 日付October 8, 2022 07:46:31 UTC 2022 年 10 月 8 日 (土) 16 時 46 分 31 秒 (日本時間)
composite number 合成数
61181963028424819542992020048653362706511159253633842241809995594200313876834275596185648073321790285648282525460921947<119>
prime factors 素因数
32659088049951763137132117750347229110715334869321185179<56>
1873351850328692327319887263457780394999109325467010775140425793<64>
factorization results 素因数分解の結果
Number: 1
N=61181963028424819542992020048653362706511159253633842241809995594200313876834275596185648073321790285648282525460921947
  ( 119 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=32659088049951763137132117750347229110715334869321185179 (pp56)
 r2=1873351850328692327319887263457780394999109325467010775140425793 (pp64)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.64 hours.
Scaled time: 44.11 units (timescale=7.819).
Factorization parameters were as follows:
n: 61181963028424819542992020048653362706511159253633842241809995594200313876834275596185648073321790285648282525460921947
m: 100000000000000000000000000000
deg: 5
c5: 11600
c0: 1
skew: 0.15
# Murphy_E = 1.726e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 313551 x 313776
Total sieving time: 5.58 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,149.000,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 5.64 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

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

58×10149+59

c124

name 名前Ignacio Santos
date 日付October 8, 2022 08:34:10 UTC 2022 年 10 月 8 日 (土) 17 時 34 分 10 秒 (日本時間)
composite number 合成数
2349717966221678318788926398421916160151341843926694097422153042918901478795438152191374784572952853455440151662621802396639<124>
prime factors 素因数
432564496018965857980799613656801923<36>
5432063860642540036539073516784563216247329836140053449477270655398241287366716097368693<88>
factorization results 素因数分解の結果
Number: 1
N=2349717966221678318788926398421916160151341843926694097422153042918901478795438152191374784572952853455440151662621802396639
  ( 124 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=432564496018965857980799613656801923 (pp36)
 r2=5432063860642540036539073516784563216247329836140053449477270655398241287366716097368693 (pp88)
Version: Msieve v. 1.52 (SVN 927)
Total time: 11.79 hours.
Scaled time: 92.49 units (timescale=7.843).
Factorization parameters were as follows:
n: 2349717966221678318788926398421916160151341843926694097422153042918901478795438152191374784572952853455440151662621802396639
m: 10000000000000000000000000000000000000
deg: 4
c4: 116
c0: 1
skew: 0.30
# Murphy_E = 1.483e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 2200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 369787 x 370014
Total sieving time: 11.72 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,150.000,4,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000
total time: 11.79 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

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

58×10151+59

c132

name 名前Bob Backstrom
date 日付October 6, 2022 10:59:50 UTC 2022 年 10 月 6 日 (木) 19 時 59 分 50 秒 (日本時間)
composite number 合成数
426528994979755835999917735445318078041649147240917782617332131272808623136500340223587259584491305024721943723875088407783183329793<132>
prime factors 素因数
3483282935395117111379367061662588809404855081225984963<55>
122450286953613095552696333741099535791443866112159752190035487810037814770411<78>
factorization results 素因数分解の結果
Number: n
N=426528994979755835999917735445318078041649147240917782617332131272808623136500340223587259584491305024721943723875088407783183329793  ( 132 digits)
SNFS difficulty: 152 digits.
Divisors found:

Thu Oct  6 21:56:02 2022  p55 factor: 3483282935395117111379367061662588809404855081225984963
Thu Oct  6 21:56:02 2022  p78 factor: 122450286953613095552696333741099535791443866112159752190035487810037814770411
Thu Oct  6 21:56:02 2022  elapsed time 00:05:43 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.339).
Factorization parameters were as follows:
#
# N = 58x10^151+5 = 64(150)5
#
n: 426528994979755835999917735445318078041649147240917782617332131272808623136500340223587259584491305024721943723875088407783183329793
m: 1000000000000000000000000000000
deg: 5
c5: 116
c0: 1
skew: 0.39
# Murphy_E = 1.393e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1186785 hash collisions in 14690427 relations (14514815 unique)
Msieve: matrix is 311254 x 311480 (102.6 MB)

Sieving start time : 2022/10/06 21:22:05
Sieving end time  : 2022/10/06 21:50:02

Total sieving time: 0hrs 27min 57secs.

Total relation processing time: 0hrs 2min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 14sec.

Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

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

58×10152+59

c126

name 名前Ignacio Santos
date 日付October 8, 2022 11:22:39 UTC 2022 年 10 月 8 日 (土) 20 時 22 分 39 秒 (日本時間)
composite number 合成数
740781267372351630501781056210740835776058945112401323633929637771892306667300855810428233735502441094661826038406827324773027<126>
prime factors 素因数
161865544442472239839785383282502838421<39>
4576522260644721122104116346257771831585497661420806934892322837450811957798542053222487<88>
factorization results 素因数分解の結果
Number: 1
N=740781267372351630501781056210740835776058945112401323633929637771892306667300855810428233735502441094661826038406827324773027
  ( 126 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=161865544442472239839785383282502838421 (pp39)
 r2=4576522260644721122104116346257771831585497661420806934892322837450811957798542053222487 (pp88)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.44 hours.
Scaled time: 73.28 units (timescale=7.764).
Factorization parameters were as follows:
n: 740781267372351630501781056210740835776058945112401323633929637771892306667300855810428233735502441094661826038406827324773027
m: 1000000000000000000000000000000
deg: 5
c5: 1160
c0: 1
skew: 0.24
# Murphy_E = 1.163e-09
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 1950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 406003 x 406233
Total sieving time: 9.36 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 9.44 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

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

58×10155+59

c151

name 名前Ignacio Santos
date 日付October 9, 2022 08:19:20 UTC 2022 年 10 月 9 日 (日) 17 時 19 分 20 秒 (日本時間)
composite number 合成数
1738054248269062784213073464256764552083942026900884459847201058415104290746509282857840647395241027669523967917915893157610055542819813219101216188477<151>
prime factors 素因数
967584227550999274291163801838245730429957781343621891452118221135471<69>
1796282120749486586306159048082379781526427105522936134394444085761346333490477587<82>
factorization results 素因数分解の結果
Number: 1
N=1738054248269062784213073464256764552083942026900884459847201058415104290746509282857840647395241027669523967917915893157610055542819813219101216188477
  ( 151 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=967584227550999274291163801838245730429957781343621891452118221135471 (pp69)
 r2=1796282120749486586306159048082379781526427105522936134394444085761346333490477587 (pp82)
Version: Msieve v. 1.52 (SVN 927)
Total time: 13.29 hours.
Scaled time: 103.92 units (timescale=7.819).
Factorization parameters were as follows:
n: 1738054248269062784213073464256764552083942026900884459847201058415104290746509282857840647395241027669523967917915893157610055542819813219101216188477
m: 10000000000000000000000000000000
deg: 5
c5: 58
c0: 5
skew: 0.61
# Murphy_E = 7.39e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 479382 x 479615
Total sieving time: 13.20 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 13.29 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

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

58×10157+59

c149

name 名前Ignacio Santos
date 日付October 13, 2022 08:12:57 UTC 2022 年 10 月 13 日 (木) 17 時 12 分 57 秒 (日本時間)
composite number 合成数
12080410089274033732363827144894939776348571745179934000322829589323119198305404145345171140878101779593859568333420206582387825228411194705289059069<149>
prime factors 素因数
5074006105023388338202179541102379674793179234503806333068454920807<67>
2380842639766266063548381126919794836154273302526982547670810641502803768636195067<82>
factorization results 素因数分解の結果
Number: 1
N=12080410089274033732363827144894939776348571745179934000322829589323119198305404145345171140878101779593859568333420206582387825228411194705289059069
  ( 149 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=5074006105023388338202179541102379674793179234503806333068454920807 (pp67)
 r2=2380842639766266063548381126919794836154273302526982547670810641502803768636195067 (pp82)
Version: Msieve v. 1.52 (SVN 927)
Total time: 13.92 hours.
Scaled time: 107.00 units (timescale=7.686).
Factorization parameters were as follows:
n: 12080410089274033732363827144894939776348571745179934000322829589323119198305404145345171140878101779593859568333420206582387825228411194705289059069
m: 10000000000000000000000000000000
deg: 5
c5: 1160
c0: 1
skew: 0.24
# Murphy_E = 7.476e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 425585 x 425810
Total sieving time: 13.84 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 13.92 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS, Msieve

ECM

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

58×10159+59

c156

name 名前Bob Backstrom
date 日付October 12, 2022 19:38:58 UTC 2022 年 10 月 13 日 (木) 4 時 38 分 58 秒 (日本時間)
composite number 合成数
112832783759860709873841275399535051115196436040347447158267433151439104341144085519468518680634587139008044199324948690264281615065122024764850642465979943<156>
prime factors 素因数
297864199272190855162721074080279759050333332831697225761<57>
378806127206825370002042360974378395099533843861490087309366759712913234265067352856057891771637063<99>
factorization results 素因数分解の結果
Number: n
N=112832783759860709873841275399535051115196436040347447158267433151439104341144085519468518680634587139008044199324948690264281615065122024764850642465979943  ( 156 digits)
SNFS difficulty: 160 digits.
Divisors found:

Thu Oct 13 06:23:06 2022  p57 factor: 297864199272190855162721074080279759050333332831697225761
Thu Oct 13 06:23:06 2022  p99 factor: 378806127206825370002042360974378395099533843861490087309366759712913234265067352856057891771637063
Thu Oct 13 06:23:06 2022  elapsed time 00:06:50 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 8x10^159+5 = 64(158)5
#
n: 112832783759860709873841275399535051115196436040347447158267433151439104341144085519468518680634587139008044199324948690264281615065122024764850642465979943
m: 20000000000000000000000000000000
deg: 5
c5: 3625
c0: 1
skew: 0.19
# Murphy_E = 5.675e-10
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1825234 hash collisions in 16506194 relations (15734145 unique)
Msieve: matrix is 412125 x 412353 (138.5 MB)

Sieving start time : 2022/10/13 05:56:26
Sieving end time  : 2022/10/13 06:15:55

Total sieving time: 0hrs 19min 29secs.

Total relation processing time: 0hrs 2min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 46sec.

Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

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

58×10161+59

c105

name 名前Eric Jeancolas
date 日付October 6, 2022 07:55:48 UTC 2022 年 10 月 6 日 (木) 16 時 55 分 48 秒 (日本時間)
composite number 合成数
775044219830134223465759834053888868968706688670637361652038093537316693170359578576586403043637963923261<105>
prime factors 素因数
167436970135870567446938893768343449403<39>
4628871504311185430171326055898663529731041559368050785145492288487<67>
factorization results 素因数分解の結果
775044219830134223465759834053888868968706688670637361652038093537316693170359578576586403043637963923261=167436970135870567446938893768343449403*4628871504311185430171326055898663529731041559368050785145492288487

cado polynomial
n: 775044219830134223465759834053888868968706688670637361652038093537316693170359578576586403043637963923261
skew: 21030.952
c0: 7383340305080513906471898
c1: -2731693096325303215807
c2: -63266045392122626
c3: 1195572795563
c4: 96243516
c5: 4560
Y0: -198337243674139678144
Y1: 970312063021681
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.389e-06
# f(x) = 4560*x^5+96243516*x^4+1195572795563*x^3-63266045392122626*x^2-2731693096325303215807*x+7383340305080513906471898
# g(x) = 970312063021681*x-198337243674139678144

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: 167436970135870567446938893768343449403 4628871504311185430171326055898663529731041559368050785145492288487
Info:Square Root: Total cpu/real time for sqrt: 57.55/16.9586
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): 11122/29.780/36.541/42.420/1.630
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 8918/29.580/32.993/37.590/0.821
Info:Polynomial Selection (size optimized): Total time: 515.79
Info:Quadratic Characters: Total cpu/real time for characters: 8.07/3.0925
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 46.4/45.1938
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 34.4s
Info:Square Root: Total cpu/real time for sqrt: 57.55/16.9586
Info:Generate Free Relations: Total cpu/real time for freerel: 63.58/16.4258
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 18.64/17.5735
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 17.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 23.84/26.1583
Info:Filtering - Merging: Merged matrix has 217348 rows and total weight 31641446 (145.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 28.37/8.61594
Info:Filtering - Merging: Total cpu/real time for replay: 6.75/5.42751
Info:Generate Factor Base: Total cpu/real time for makefb: 1.45/0.414125
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4760892
Info:Lattice Sieving: Average J: 1909.9 for 45041 special-q, max bucket fill -bkmult 1.0,1s:1.322180
Info:Lattice Sieving: Total time: 4352.8s
Info:Linear Algebra: Total cpu/real time for bwc: 535.43/140.05
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 314.38, WCT time 81.04, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6912 iterations)
Info:Linear Algebra: Lingen CPU time 29.77, WCT time 7.59
Info:Linear Algebra: Mksol: CPU time 175.54,  WCT time 45.26, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3456 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 146.86
Info:Polynomial Selection (root optimized): Rootsieve time: 146.21
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 9262.32/2694.02
Info:root: Cleaning up computation data in /tmp/cado.aq60v5fc
167436970135870567446938893768343449403 4628871504311185430171326055898663529731041559368050785145492288487
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

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

58×10162+59

c161

name 名前Bob Backstrom
date 日付October 11, 2022 11:33:01 UTC 2022 年 10 月 11 日 (火) 20 時 33 分 1 秒 (日本時間)
composite number 合成数
26303854875283446712018140589569160997732426303854875283446712018140589569160997732426303854875283446712018140589569160997732426303854875283446712018140589569161<161>
prime factors 素因数
16626829104164977614898481457815471917296529387<47>
1582012704316206582772666492017106532658983485137024588402477938670695537015948995381594112520393481466255997863003<115>
factorization results 素因数分解の結果
Number: n
N=26303854875283446712018140589569160997732426303854875283446712018140589569160997732426303854875283446712018140589569160997732426303854875283446712018140589569161  ( 161 digits)
SNFS difficulty: 163 digits.
Divisors found:

Tue Oct 11 22:29:04 2022  p47 factor: 16626829104164977614898481457815471917296529387
Tue Oct 11 22:29:04 2022  p115 factor: 1582012704316206582772666492017106532658983485137024588402477938670695537015948995381594112520393481466255997863003
Tue Oct 11 22:29:04 2022  elapsed time 00:07:42 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.310).
Factorization parameters were as follows:
#
# N = 58x10^162+5 = 64(161)5
#
n: 26303854875283446712018140589569160997732426303854875283446712018140589569160997732426303854875283446712018140589569160997732426303854875283446712018140589569161
m: 100000000000000000000000000000000
deg: 5
c5: 1160
c0: 1
skew: 0.24
# Murphy_E = 4.783e-10
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1336811 hash collisions in 13922344 relations (13474471 unique)
Msieve: matrix is 473149 x 473379 (161.5 MB)

Sieving start time : 2022/10/11 21:39:33
Sieving end time  : 2022/10/11 22:21:03

Total sieving time: 0hrs 41min 30secs.

Total relation processing time: 0hrs 3min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 56sec.

Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

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

58×10166+59

c154

name 名前Bob Backstrom
date 日付October 10, 2022 12:02:54 UTC 2022 年 10 月 10 日 (月) 21 時 2 分 54 秒 (日本時間)
composite number 合成数
1522316890123974786345861326300397903750405982851628871650542666503503313557543453049920368748292068634748423000475731151911246563206024317614272376526251<154>
prime factors 素因数
9902481353135074815396511759499793158682593<43>
1222036579410397840287882545622362512870669342583<49>
125798895110229516166936707038929268635043429699391115040559629<63>
factorization results 素因数分解の結果
Number: n
N=153730851474112300705308587879347692376642424064649506888692931140479529328584168139921917037983423561840381707  ( 111 digits)
Divisors found:

Mon Oct 10 22:48:56 2022  p49 factor: 1222036579410397840287882545622362512870669342583
Mon Oct 10 22:48:56 2022  p63 factor: 125798895110229516166936707038929268635043429699391115040559629
Mon Oct 10 22:48:56 2022  elapsed time 00:06:09 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.357).
Factorization parameters were as follows:
#
# N = 58x10^166+5 = 64(165)5
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 1522316890123974786345861326300397903750405982851628871650542666503503313557543453049920368748292068634748423000475731151911246563206024317614272376526251 (154 digits)
# Using B1=22310000, B2=96187561486, polynomial Dickson(12), sigma=1:2443071992
# Step 1 took 41817ms
# Step 2 took 17205ms
# ********** Factor found in step 2: 9902481353135074815396511759499793158682593
# Found prime factor of 43 digits: 9902481353135074815396511759499793158682593
# Composite cofactor 153730851474112300705308587879347692376642424064649506888692931140479529328584168139921917037983423561840381707 has 111 digits
#

n: 153730851474112300705308587879347692376642424064649506888692931140479529328584168139921917037983423561840381707

Y0: -3096190882004210358367
Y1: 2042275618607
c0: 40377605699647234722158070
c1: 1239627182277667875069
c2: -1063370482392086146
c3: 18973995291254
c4: 431091314
c5: 540

skew 47161.79, size 1.622e-10, alpha -5.837, combined = 1.014e-09 rroots = 5
skew: 47161.79

type: gnfs
rlim: 2600000
alim: 2600000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 28500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 635053 hash collisions in 8684921 relations (8294866 unique)
Msieve: matrix is 284673 x 284898 (97.4 MB)

Sieving start time : 2022/10/10 19:54:22
Sieving end time  : 2022/10/10 22:41:21

Total sieving time: 2hrs 46min 59secs.

Total relation processing time: 0hrs 2min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 18sec.

Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2600000,2600000,26,26,49,49,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

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

58×10167+59

c139

name 名前Ignacio Santos
date 日付October 15, 2022 11:03:36 UTC 2022 年 10 月 15 日 (土) 20 時 3 分 36 秒 (日本時間)
composite number 合成数
1347972432941094227990542906010720667773717060758627367403383741990181911741198524817039405568676511739361822808697264548417024849756461579<139>
prime factors 素因数
1184072093001678095432275718373853<34>
1138420912804321830306627131760791006247910450000950888513901003218945863254892053424709099609050516910343<106>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3091812575
Step 1 took 5891ms
Step 2 took 3390ms
********** Factor found in step 2: 1184072093001678095432275718373853
Found prime factor of 34 digits: 1184072093001678095432275718373853
Prime cofactor 1138420912804321830306627131760791006247910450000950888513901003218945863254892053424709099609050516910343 has 106 digits
software ソフトウェア
GMP-ECM

ECM

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

58×10168+59

c139

name 名前Bob Backstrom
date 日付October 16, 2022 02:00:01 UTC 2022 年 10 月 16 日 (日) 11 時 0 分 1 秒 (日本時間)
composite number 合成数
1135114865840977399140519702418761143626800712962531791343744696029281499728637882774573889963896261566911378070496519181438961306018526999<139>
prime factors 素因数
11166916926390746002035865288956213011582820608663<50>
101649799431959895857537590376726657643210665124934409933860917548055564114230221795174273<90>
factorization results 素因数分解の結果
Number: n
N=1135114865840977399140519702418761143626800712962531791343744696029281499728637882774573889963896261566911378070496519181438961306018526999  ( 139 digits)
SNFS difficulty: 169 digits.
Divisors found:

Sun Oct 16 12:56:58 2022  p50 factor: 11166916926390746002035865288956213011582820608663
Sun Oct 16 12:56:58 2022  p90 factor: 101649799431959895857537590376726657643210665124934409933860917548055564114230221795174273
Sun Oct 16 12:56:58 2022  elapsed time 00:08:46 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 58x10^168+5 = 64(167)5
#
n: 1135114865840977399140519702418761143626800712962531791343744696029281499728637882774573889963896261566911378070496519181438961306018526999
m: 1000000000000000000000000000000000
deg: 5
c5: 11600
c0: 1
skew: 0.15
# Murphy_E = 2.915e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1418568 hash collisions in 13571131 relations (12982603 unique)
Msieve: matrix is 570536 x 570762 (199.1 MB)

Sieving start time : 2022/10/16 11:52:02
Sieving end time  : 2022/10/16 12:47:41

Total sieving time: 0hrs 55min 39secs.

Total relation processing time: 0hrs 4min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 43sec.

Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 15, 2022 11:09:39 UTC 2022 年 10 月 15 日 (土) 20 時 9 分 39 秒 (日本時間)

58×10170+59

c135

name 名前ebina
date 日付October 18, 2022 04:05:37 UTC 2022 年 10 月 18 日 (火) 13 時 5 分 37 秒 (日本時間)
composite number 合成数
945735149245260167868158606235838457935032798442248857152017228134443921148061140820826724182601890535754523339354813843721125559575019<135>
prime factors 素因数
2086975567230709206949962125114554022365648407108776957<55>
453160623485493752214526985518823887464556743497431163410358097214784343122357767<81>
factorization results 素因数分解の結果
Number: 64445_170
N = 945735149245260167868158606235838457935032798442248857152017228134443921148061140820826724182601890535754523339354813843721125559575019 (135 digits)
SNFS difficulty: 172 digits.
Divisors found:
r1=2086975567230709206949962125114554022365648407108776957 (pp55)
r2=453160623485493752214526985518823887464556743497431163410358097214784343122357767 (pp81)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 4.41 hours.
Factorization parameters were as follows:
n: 945735149245260167868158606235838457935032798442248857152017228134443921148061140820826724182601890535754523339354813843721125559575019
m: 10000000000000000000000000000000000
deg: 5
c5: 58
c0: 5
skew: 0.61
# Murphy_E = 1.913e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 11496589
Relations: 1387610 relations
Pruned matrix : 858795 x 859023
Total sieving time: 4.08 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.16 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: snfs,172,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 4.41 hours.
Intel64 Family 6 Model 158 Stepping 12, GenuineIntel
processors: 16, speed: 3.60GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 15, 2022 10:25:19 UTC 2022 年 10 月 15 日 (土) 19 時 25 分 19 秒 (日本時間)

58×10171+59

c138

name 名前Ignacio Santos
date 日付October 15, 2022 10:25:51 UTC 2022 年 10 月 15 日 (土) 19 時 25 分 51 秒 (日本時間)
composite number 合成数
973826201285550010488685844281575688864347828396052112514224889825219058193471669143589674127493008881318514965979290899626377099197321211<138>
prime factors 素因数
491199899781575156796643265903008633302281961667<48>
1982545602551196005678004474791595071302977259234320278962829511906832302272446423316758633<91>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:611559586
Step 1 took 5797ms
Step 2 took 3297ms
********** Factor found in step 2: 491199899781575156796643265903008633302281961667
Found prime factor of 48 digits: 491199899781575156796643265903008633302281961667
Prime cofactor 1982545602551196005678004474791595071302977259234320278962829511906832302272446423316758633 has 91 digits
software ソフトウェア
GMP-ECM

ECM

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

58×10176+59

c172

name 名前Bob Backstrom
date 日付October 8, 2022 06:00:37 UTC 2022 年 10 月 8 日 (土) 15 時 0 分 37 秒 (日本時間)
composite number 合成数
9139111457767062957447981910862149109330560085718562638366935325029347577741536473721115286739621987441600289930432453299928305246322689419902778762595822795780251640706863<172>
prime factors 素因数
8113327064552531398136850818751251835757<40>
1126432027829400209448437362090549748465622737456806038658491899985610167445904863724317288770602424435093387815439546316129313099659<133>
factorization results 素因数分解の結果
Number: n
N=9139111457767062957447981910862149109330560085718562638366935325029347577741536473721115286739621987441600289930432453299928305246322689419902778762595822795780251640706863  ( 172 digits)
SNFS difficulty: 177 digits.
Divisors found:

Sat Oct  8 16:53:33 2022  p40 factor: 8113327064552531398136850818751251835757
Sat Oct  8 16:53:33 2022  p133 factor: 1126432027829400209448437362090549748465622737456806038658491899985610167445904863724317288770602424435093387815439546316129313099659
Sat Oct  8 16:53:33 2022  elapsed time 00:18:41 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 58x10^176+5 = 64(175)5
#
n: 9139111457767062957447981910862149109330560085718562638366935325029347577741536473721115286739621987441600289930432453299928305246322689419902778762595822795780251640706863
m: 100000000000000000000000000000000000
deg: 5
c5: 116
c0: 1
skew: 0.39
# Murphy_E = 1.462e-10
type: snfs
lss: 1
rlim: 6300000
alim: 6300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6300000/6300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1369406 hash collisions in 11932348 relations (11246368 unique)
Msieve: matrix is 928049 x 928274 (324.0 MB)

Sieving start time : 2022/10/08 15:35:16
Sieving end time  : 2022/10/08 16:34:33

Total sieving time: 0hrs 59min 17secs.

Total relation processing time: 0hrs 13min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 8sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6300000,6300000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

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

58×10177+59

c159

name 名前Bob Backstrom
date 日付October 10, 2022 17:53:15 UTC 2022 年 10 月 11 日 (火) 2 時 53 分 15 秒 (日本時間)
composite number 合成数
255931332207652379251772084928065440373138319755275417442106865419127162970768801754958762366948776005279195402990601578031879669859807519797388256235941211469<159>
prime factors 素因数
54342329408472975204691738720223251620259629691411<50>
4709612837607729536434334232460876887968261816656405359870444864617726278260523036204785703840922512302690079<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 255931332207652379251772084928065440373138319755275417442106865419127162970768801754958762366948776005279195402990601578031879669859807519797388256235941211469 (159 digits)
Using B1=30990000, B2=144289975846, polynomial Dickson(12), sigma=1:3107229852
Step 1 took 72128ms
Step 2 took 24056ms
********** Factor found in step 2: 54342329408472975204691738720223251620259629691411
Found prime factor of 50 digits: 54342329408472975204691738720223251620259629691411
Prime cofactor 4709612837607729536434334232460876887968261816656405359870444864617726278260523036204785703840922512302690079 has 109 digits

ECM

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

58×10179+59

c137

name 名前Eric Jeancolas
date 日付November 2, 2022 03:17:45 UTC 2022 年 11 月 2 日 (水) 12 時 17 分 45 秒 (日本時間)
composite number 合成数
99144377022557609497206822210268455738696287271192148985479597273944979360919398943714681157937218787892305000137940411812662998188260303<137>
prime factors 素因数
3078431013007546345905739647586935324739451453822669<52>
32206138972624289512454660553092278696507250586831715120836286755887005641757857694987<86>
factorization results 素因数分解の結果
99144377022557609497206822210268455738696287271192148985479597273944979360919398943714681157937218787892305000137940411812662998188260303=3078431013007546345905739647586935324739451453822669*32206138972624289512454660553092278696507250586831715120836286755887005641757857694987

cado polynomial
n: 99144377022557609497206822210268455738696287271192148985479597273944979360919398943714681157937218787892305000137940411812662998188260303
skew: 0.19
type: snfs
c0: 1
c5: 3625
Y0: 200000000000000000000000000000000000
Y1: -1
# f(x) = 3625*x^5+1
# g(x) = -x+200000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7000000
tasks.lim1 = 7000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tanks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3078431013007546345905739647586935324739451453822669 32206138972624289512454660553092278696507250586831715120836286755887005641757857694987
Info:Square Root: Total cpu/real time for sqrt: 277.96/87.7134
Info:Square Root: Total cpu/real time for sqrt: 277.96/87.7134
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.52/97.8759
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 97.8s
Info:Generate Free Relations: Total cpu/real time for freerel: 118.26/30.8529
Info:Filtering - Singleton removal: Total cpu/real time for purge: 121.81/121.859
Info:Filtering - Merging: Merged matrix has 1052566 rows and total weight 179002073 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 251.13/69.2564
Info:Filtering - Merging: Total cpu/real time for replay: 36.8/31.1171
Info:Generate Factor Base: Total cpu/real time for makefb: 3.03/1.73464
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22423886
Info:Lattice Sieving: Average J: 1897.59 for 954915 special-q, max bucket fill -bkmult 1.0,1s:1.183380
Info:Lattice Sieving: Total time: 157181s
Info:Linear Algebra: Total cpu/real time for bwc: 17130.2/4397.09
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 10840.37, WCT time 2771.77, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (33024 iterations)
Info:Linear Algebra: Lingen CPU time 213.66, WCT time 54.12
Info:Linear Algebra: Mksol: CPU time 5905.95,  WCT time 1508.47, iteration CPU time 0.09, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16640 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 35.3/15.9372
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 213.85/179.353
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 163.6s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 310936/83999.4
Info:root: Cleaning up computation data in /tmp/cado.gwwxik6d
3078431013007546345905739647586935324739451453822669 32206138972624289512454660553092278696507250586831715120836286755887005641757857694987
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 13, 2022 13:27:27 UTC 2022 年 10 月 13 日 (木) 22 時 27 分 27 秒 (日本時間)

58×10181+59

c168

name 名前Bob Backstrom
date 日付October 9, 2022 15:58:50 UTC 2022 年 10 月 10 日 (月) 0 時 58 分 50 秒 (日本時間)
composite number 合成数
192110095089090521533497718309231387932691160637790238044877238045571051803759249924126239574681682178128699897644506054117385534154210407184400096037699912203257178153<168>
prime factors 素因数
501074710342854360712597997241582668070517<42>
383396110647135819562470994520365438005608570777149850873153129260015637796626175480243630267023795627602893271193152665105509<126>
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 192110095089090521533497718309231387932691160637790238044877238045571051803759249924126239574681682178128699897644506054117385534154210407184400096037699912203257178153 (168 digits)
Using B1=22620000, B2=96187561486, polynomial Dickson(12), sigma=1:2441048488
Step 1 took 52281ms
Step 2 took 19599ms
********** Factor found in step 2: 501074710342854360712597997241582668070517
Found prime factor of 42 digits: 501074710342854360712597997241582668070517
Prime cofactor 383396110647135819562470994520365438005608570777149850873153129260015637796626175480243630267023795627602893271193152665105509 has 126 digits

ECM

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

58×10186+59

c164

name 名前Bob Backstrom
date 日付October 11, 2022 03:26:33 UTC 2022 年 10 月 11 日 (火) 12 時 26 分 33 秒 (日本時間)
composite number 合成数
63304071562828569753942390069770209090090957402633301252124914097165199636259744154874925025581812570670591122741945805131729822949361194466192010603497900327585503<164>
prime factors 素因数
1249147193586099890940423270337153961800112497316456940084342798620143<70>
50677831954369446333446918368291309594089431897684397372544531050629317994740144876708708437521<95>
factorization results 素因数分解の結果
Number: n
N=63304071562828569753942390069770209090090957402633301252124914097165199636259744154874925025581812570670591122741945805131729822949361194466192010603497900327585503  ( 164 digits)
SNFS difficulty: 187 digits.
Divisors found:

Tue Oct 11 14:19:57 2022  p70 factor: 1249147193586099890940423270337153961800112497316456940084342798620143
Tue Oct 11 14:19:57 2022  p95 factor: 50677831954369446333446918368291309594089431897684397372544531050629317994740144876708708437521
Tue Oct 11 14:19:57 2022  elapsed time 00:39:16 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 58x10^186+5 = 64(185)5
#
n: 63304071562828569753942390069770209090090957402633301252124914097165199636259744154874925025581812570670591122741945805131729822949361194466192010603497900327585503
m: 10000000000000000000000000000000000000
deg: 5
c5: 116
c0: 1
skew: 0.39
# Murphy_E = 5.743e-11
type: snfs
lss: 1
rlim: 9200000
alim: 9200000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9200000/9200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 10200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1228267 hash collisions in 12590395 relations (12142477 unique)
Msieve: matrix is 1285717 x 1285942 (450.7 MB)

Sieving start time : 2022/10/11 11:02:41
Sieving end time  : 2022/10/11 13:40:23

Total sieving time: 2hrs 37min 42secs.

Total relation processing time: 0hrs 32min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 9sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9200000,9200000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

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

58×10187+59

c155

name 名前Ignacio Santos
date 日付October 10, 2022 14:50:18 UTC 2022 年 10 月 10 日 (月) 23 時 50 分 18 秒 (日本時間)
composite number 合成数
54592545780629047562118071907503261864261660779836925497801077758674612588717777684956747452644146692049550321178189410531439199655463421130344908366389049<155>
prime factors 素因数
19367165295817200343659286246251360019<38>
2818819633476232340326486150415570403363540084252492017113325496289786008442622692771151955242396336020984400706938371<118>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1785947373
Step 1 took 7297ms
Step 2 took 3828ms
********** Factor found in step 2: 19367165295817200343659286246251360019
Found prime factor of 38 digits: 19367165295817200343659286246251360019
Prime cofactor 2818819633476232340326486150415570403363540084252492017113325496289786008442622692771151955242396336020984400706938371 has 118 digits
software ソフトウェア
GMP-ECM

ECM

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

58×10188+59

c183

name 名前Ignacio Santos
date 日付October 11, 2022 15:27:05 UTC 2022 年 10 月 12 日 (水) 0 時 27 分 5 秒 (日本時間)
composite number 合成数
529315645064656362351238347640826480749109403611849187021362905650855186996722349759914287370026771507668916714464782029186282146228922628198195855002192553167703167087153189879667389<183>
prime factors 素因数
17136217137489703680316513476253020551830903<44>
30888710198859920485531743278851574238127073934304073695767684329373413827621738895658434750447227350195810388156146885802399365629552723563<140>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1481958148
Step 1 took 8500ms
Step 2 took 4110ms
********** Factor found in step 2: 17136217137489703680316513476253020551830903
Found prime factor of 44 digits: 17136217137489703680316513476253020551830903
Prime cofactor 30888710198859920485531743278851574238127073934304073695767684329373413827621738895658434750447227350195810388156146885802399365629552723563 has 140 digits
 
software ソフトウェア
GMP-ECM

ECM

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

58×10189+59

c141

name 名前Bob Backstrom
date 日付May 31, 2023 07:39:47 UTC 2023 年 5 月 31 日 (水) 16 時 39 分 47 秒 (日本時間)
composite number 合成数
388988759081234110259834243525922407980353504707323360294831602814685055514586339754368178284902873657062685213792429164043879232783321219237<141>
prime factors 素因数
17433616219072667108524997254152273098395761079601<50>
22312568671534361049634415053666500532401477999605025947288446072371692659829016792590874037<92>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 388988759081234110259834243525922407980353504707323360294831602814685055514586339754368178284902873657062685213792429164043879232783321219237 (141 digits)
Using B1=43340000, B2=240490660426, polynomial Dickson(12), sigma=1:3158890040
Step 1 took 80464ms
Step 2 took 27010ms
********** Factor found in step 2: 17433616219072667108524997254152273098395761079601
Found prime factor of 50 digits: 17433616219072667108524997254152273098395761079601
Prime cofactor 22312568671534361049634415053666500532401477999605025947288446072371692659829016792590874037 has 92 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 11, 2022 15:47:18 UTC 2022 年 10 月 12 日 (水) 0 時 47 分 18 秒 (日本時間)

58×10191+59

c143

name 名前Eric Jeancolas
date 日付June 27, 2023 17:51:24 UTC 2023 年 6 月 28 日 (水) 2 時 51 分 24 秒 (日本時間)
composite number 合成数
25114447588483459829244367420512278646536518868577061489736111251033834494391722222935651461779387200124921448632539732983715807261804157386359<143>
prime factors 素因数
967497430493712383219110921060377522540741545544627734282824739<63>
25958154302970704123064473680694820057592383641587040916625894064919565463367581<80>
factorization results 素因数分解の結果
25114447588483459829244367420512278646536518868577061489736111251033834494391722222935651461779387200124921448632539732983715807261804157386359=967497430493712383219110921060377522540741545544627734282824739*25958154302970704123064473680694820057592383641587040916625894064919565463367581

cado polynomial
n: 25114447588483459829244367420512278646536518868577061489736111251033834494391722222935651461779387200124921448632539732983715807261804157386359
skew: 0.39
type: snfs
c0: 1
c5: 116
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 116*x^5+1
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11100000
tasks.lim1 = 11100000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
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: 967497430493712383219110921060377522540741545544627734282824739 25958154302970704123064473680694820057592383641587040916625894064919565463367581
Info:Square Root: Total cpu/real time for sqrt: 574.14/186.626
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26105647
Info:Lattice Sieving: Average J: 1894.16 for 1874177 special-q, max bucket fill -bkmult 1.0,1s:1.136710
Info:Lattice Sieving: Total time: 379459s
Info:Linear Algebra: Total cpu/real time for bwc: 72101/18583.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 46205.74, WCT time 11819.26, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (64768 iterations)
Info:Linear Algebra: Lingen CPU time 423.68, WCT time 107.85
Info:Linear Algebra: Mksol: CPU time 25073.35,  WCT time 6467.2, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (32512 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.68/2.28838
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 474.96/509.228
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 426.4000000000001s
Info:Generate Free Relations: Total cpu/real time for freerel: 119.62/32.5906
Info:Square Root: Total cpu/real time for sqrt: 574.14/186.626
Info:Quadratic Characters: Total cpu/real time for characters: 75.49/37.0522
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 110.65/107.159
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 106.50000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 356.29/348.411
Info:Filtering - Merging: Merged matrix has 2066715 rows and total weight 351595431 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 568.9/155.525
Info:Filtering - Merging: Total cpu/real time for replay: 78.37/69.0343
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 789092/209593
Info:root: Cleaning up computation data in /tmp/cado.nuerr2qs
967497430493712383219110921060377522540741545544627734282824739 25958154302970704123064473680694820057592383641587040916625894064919565463367581
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 14, 2022 07:48:50 UTC 2022 年 10 月 14 日 (金) 16 時 48 分 50 秒 (日本時間)

58×10192+59

c120

name 名前Eric Jeancolas
date 日付October 7, 2022 09:40:11 UTC 2022 年 10 月 7 日 (金) 18 時 40 分 11 秒 (日本時間)
composite number 合成数
408170969202992823303607432362967088099823467056204015191011321434743106038350206561950694526530376419601346775409926169<120>
prime factors 素因数
33272701644914806727598061824471879411006894346684835597<56>
12267442949447873934809088478345996179040369897736179652127791677<65>
factorization results 素因数分解の結果
408170969202992823303607432362967088099823467056204015191011321434743106038350206561950694526530376419601346775409926169=33272701644914806727598061824471879411006894346684835597*12267442949447873934809088478345996179040369897736179652127791677

cado polynomial
n: 408170969202992823303607432362967088099823467056204015191011321434743106038350206561950694526530376419601346775409926169
skew: 40013.666
c0: -5694829463711655123472980210
c1: 997158226921846571080097
c2: 28900674244536344580
c3: -1402393132742453
c4: -11684650350
c5: 102600
Y0: -164249010660284455535136
Y1: 2311545902364577
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.478e-06
# f(x) = 102600*x^5-11684650350*x^4-1402393132742453*x^3+28900674244536344580*x^2+997158226921846571080097*x-5694829463711655123472980210
# g(x) = 2311545902364577*x-164249010660284455535136

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

cado log (extracts)
Info:Square Root: Factors: 12267442949447873934809088478345996179040369897736179652127791677 33272701644914806727598061824471879411006894346684835597
Info:Square Root: Total cpu/real time for sqrt: 1386.56/248.426
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 19887/35.600/42.744/47.870/1.031
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15940/34.590/37.833/43.240/0.837
Info:Polynomial Selection (size optimized): Total time: 3786.75
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2313.86
Info:Polynomial Selection (root optimized): Rootsieve time: 2275.39
Info:Generate Factor Base: Total cpu/real time for makefb: 8.07/4.11263
Info:Generate Free Relations: Total cpu/real time for freerel: 167.52/68.1318
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13429274
Info:Lattice Sieving: Average J: 1892.82 for 259078 special-q, max bucket fill -bkmult 1.0,1s:1.248800
Info:Lattice Sieving: Total time: 135062s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 38.7/143.616
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 143.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 180.51/245.424
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 237.60000000000002s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 70.13/112.549
Info:Filtering - Merging: Merged matrix has 732290 rows and total weight 74035965 (101.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 89.98/45.394
Info:Filtering - Merging: Total cpu/real time for replay: 30.74/35.5594
Info:Linear Algebra: Total cpu/real time for bwc: 8771.7/2687.49
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1708.27, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (23040 iterations)
Info:Linear Algebra: Lingen CPU time 146.61, WCT time 40.14
Info:Linear Algebra: Mksol: WCT time 865.0, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (11520 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 32.78/10.8723
Info:Square Root: Total cpu/real time for sqrt: 1386.56/248.426
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 161227/39184.4
Info:root: Cleaning up computation data in /tmp/cado.w8fclhpu
12267442949447873934809088478345996179040369897736179652127791677 33272701644914806727598061824471879411006894346684835597
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

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

58×10195+59

c135

name 名前Ignacio Santos
date 日付October 7, 2022 15:33:08 UTC 2022 年 10 月 8 日 (土) 0 時 33 分 8 秒 (日本時間)
composite number 合成数
560149658699577833490114408113906786552863706485522437704514104797665313276014556411679194144441791203045358053254266049639637165556341<135>
prime factors 素因数
13420856684981284596572338395259888025933<41>
composite cofactor 合成数の残り
41737250597900931461516127095758712378838552212330273511121365982569938932655082433418310021577<95>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2847062960
Step 1 took 2547ms
Step 2 took 2140ms
********** Factor found in step 2: 13420856684981284596572338395259888025933
Found prime factor of 41 digits: 13420856684981284596572338395259888025933
Composite cofactor 41737250597900931461516127095758712378838552212330273511121365982569938932655082433418310021577 has 95 digits
software ソフトウェア
GMP-ECM

c95

name 名前Eric Jeancolas
date 日付October 7, 2022 17:06:57 UTC 2022 年 10 月 8 日 (土) 2 時 6 分 57 秒 (日本時間)
composite number 合成数
41737250597900931461516127095758712378838552212330273511121365982569938932655082433418310021577<95>
prime factors 素因数
4895561742026740636145396053212747752716854787<46>
8525528386170837391308767834626984571545328719171<49>
factorization results 素因数分解の結果
41737250597900931461516127095758712378838552212330273511121365982569938932655082433418310021577=4895561742026740636145396053212747752716854787*8525528386170837391308767834626984571545328719171

cado polynomial
n: 41737250597900931461516127095758712378838552212330273511121365982569938932655082433418310021577
skew: 176017.861
c0: 5553778893162983249033272
c1: 87335406815915934870
c2: -529041717603011
c3: -1011667066
c4: 5760
Y0: 6502259922072413921925
Y1: 327658127934984223
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=4.194e+11) = 1.054e-05
# f(x) = 5760*x^4-1011667066*x^3-529041717603011*x^2+87335406815915934870*x+5553778893162983249033272
# g(x) = 327658127934984223*x+6502259922072413921925

cado parameters (extracts)
tasks.lim0 = 600000
tasks.lim1 = 850000
tasks.lpb0 = 24
tasks.lpb1 = 25
tasks.sieve.mfb0 = 48
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: 4895561742026740636145396053212747752716854787 8525528386170837391308767834626984571545328719171
Info:Square Root: Total cpu/real time for sqrt: 26.49/21.8606
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 52.24
Info:Polynomial Selection (root optimized): Rootsieve time: 51.83
Info:Generate Factor Base: Total cpu/real time for makefb: 0.61/0.513715
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 7181.67
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 7386/30.260/36.555/45.390/1.359
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 4797/29.890/34.466/38.070/1.155
Info:Polynomial Selection (size optimized): Total time: 126.14
Info:Quadratic Characters: Total cpu/real time for characters: 4.47/3.77917
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 22.96/40.104
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 32.300000000000004s
Info:Square Root: Total cpu/real time for sqrt: 26.49/21.8606
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9.41/16.2187
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 15.8s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 12.11/18.0758
Info:Generate Free Relations: Total cpu/real time for freerel: 24.52/18.5568
Info:Filtering - Merging: Merged matrix has 121752 rows and total weight 17740178 (145.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 19.42/16.6273
Info:Filtering - Merging: Total cpu/real time for replay: 3.91/4.59479
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2517072
Info:Lattice Sieving: Average J: 1024 for 33908 special-q, max bucket fill -bkmult 1.0,1s:1.341900
Info:Lattice Sieving: Total time: 2936.8s
Info:Linear Algebra: Total cpu/real time for bwc: 274.01/266.55
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 106.21, WCT time 105.53, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (3840 iterations)
Info:Linear Algebra: Lingen CPU time 102.54, WCT time 93.72
Info:Linear Algebra: Mksol: CPU time 58.83,  WCT time 60.6, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (1920 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3185.18/2006.42
Info:root: Cleaning up computation data in /tmp/cado.z771z30n
4895561742026740636145396053212747752716854787 8525528386170837391308767834626984571545328719171
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

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

58×10196+59

c191

name 名前Bob Backstrom
date 日付October 22, 2022 14:48:50 UTC 2022 年 10 月 22 日 (土) 23 時 48 分 50 秒 (日本時間)
composite number 合成数
32204751144726208254244294692351621467576062208474125009404620215755175039763150712960441182880509545793629178392944050075056504068764917254611595431700524687579210500525687037004647201115617<191>
prime factors 素因数
7079304085866995580900827950364617912928851961759<49>
4549140813010029540561683527472228177718690383169035956033101582903805486947733178287314513227572809691699003683611786526337617146749867547263<142>
factorization results 素因数分解の結果
Number: n
N=32204751144726208254244294692351621467576062208474125009404620215755175039763150712960441182880509545793629178392944050075056504068764917254611595431700524687579210500525687037004647201115617  ( 191 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sun Oct 23 00:16:26 2022  p49 factor: 7079304085866995580900827950364617912928851961759
Sun Oct 23 00:16:26 2022  p142 factor: 4549140813010029540561683527472228177718690383169035956033101582903805486947733178287314513227572809691699003683611786526337617146749867547263
Sun Oct 23 00:16:26 2022  elapsed time 01:12:49 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.354).
Factorization parameters were as follows:
#
# N = 58x10^196+5 = 64(195)5
#
n: 32204751144726208254244294692351621467576062208474125009404620215755175039763150712960441182880509545793629178392944050075056504068764917254611595431700524687579210500525687037004647201115617
m: 1000000000000000000000000000000000000000
deg: 5
c5: 116
c0: 1
skew: 0.39
# Murphy_E = 2.218e-11
type: snfs
lss: 1
rlim: 13500000
alim: 13500000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 13500000/13500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 26750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1756178 hash collisions in 13769027 relations (12767664 unique)
Msieve: matrix is 1853155 x 1853381 (647.0 MB)

Sieving start time : 2022/10/22 15:59:14
Sieving end time  : 2022/10/22 23:03:04

Total sieving time: 7hrs 3min 50secs.

Total relation processing time: 1hrs 5min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 23sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13500000,13500000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 21, 2022 09:48:52 UTC 2022 年 10 月 21 日 (金) 18 時 48 分 52 秒 (日本時間)

58×10198+59

c184

name 名前Ignacio Santos
date 日付October 24, 2022 13:13:18 UTC 2022 年 10 月 24 日 (月) 22 時 13 分 18 秒 (日本時間)
composite number 合成数
8542764030315157369637774814654041787761237581228105047003747730821238188881315784688497234348291732116536261473837152130320509352639680309089436913253894873892751937186690747974109611<184>
prime factors 素因数
1145177585295149585615191508328149468683249<43>
7459772300829140544402438905172387680851939886251416817008799367121096737620190223874566955548856034626806177395117781591873588768403259362139<142>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:436763964
Step 1 took 7438ms
Step 2 took 3453ms
********** Factor found in step 2: 1145177585295149585615191508328149468683249
Found prime factor of 43 digits: 1145177585295149585615191508328149468683249
Prime cofactor 7459772300829140544402438905172387680851939886251416817008799367121096737620190223874566955548856034626806177395117781591873588768403259362139 has 142 digits
software ソフトウェア
GMP-ECM

ECM

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

58×10201+59

c167

name 名前Bob Backstrom
date 日付August 31, 2023 20:57:33 UTC 2023 年 9 月 1 日 (金) 5 時 57 分 33 秒 (日本時間)
composite number 合成数
58898972877015826418104211861683279551328647808005158634311357721648883895239295506082693401562818098996171919906206291601352325391906746787961180575832117347536089801<167>
prime factors 素因数
290010688297056847857011877963755610474022005466660797383721279371542477<72>
203092421258232496367462416954446681403657862572224434881699874705792224282638116103442455128813<96>
factorization results 素因数分解の結果
Number: n
N=58898972877015826418104211861683279551328647808005158634311357721648883895239295506082693401562818098996171919906206291601352325391906746787961180575832117347536089801  ( 167 digits)
SNFS difficulty: 202 digits.
Divisors found:

Thu Aug 31 22:05:15 2023  prp72 factor: 290010688297056847857011877963755610474022005466660797383721279371542477
Thu Aug 31 22:05:15 2023  prp96 factor: 203092421258232496367462416954446681403657862572224434881699874705792224282638116103442455128813
Thu Aug 31 22:05:15 2023  elapsed time 02:15:11 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.089).
Factorization parameters were as follows:
#
# N = 58x10^201+5 = 64(200)5
#
n: 58898972877015826418104211861683279551328647808005158634311357721648883895239295506082693401562818098996171919906206291601352325391906746787961180575832117347536089801
m: 10000000000000000000000000000000000000000
deg: 5
c5: 116
c0: 1
skew: 0.39
# Murphy_E = 1.37e-11
type: snfs
lss: 1
rlim: 16300000
alim: 16300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16300000/16300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 33750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2632797 hash collisions in 17609004 relations (15492604 unique)
Msieve: matrix is 2040952 x 2041179 (575.3 MB)

Sieving start time: 2023/08/31 08:22:59
Sieving end time  : 2023/08/31 19:49:40

Total sieving time: 11hrs 26min 41secs.

Total relation processing time: 2hrs 3min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 8sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16300000,16300000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovOctober 30, 2022 06:28:25 UTC 2022 年 10 月 30 日 (日) 15 時 28 分 25 秒 (日本時間)
2350Ignacio SantosNovember 7, 2022 11:35:04 UTC 2022 年 11 月 7 日 (月) 20 時 35 分 4 秒 (日本時間)

58×10202+59

c195

name 名前Bob Backstrom
date 日付July 8, 2023 05:25:43 UTC 2023 年 7 月 8 日 (土) 14 時 25 分 43 秒 (日本時間)
composite number 合成数
511601144739315908030750033784419560252971418039249537043964969205381939958286777077867718582129358322985207851174062661693250807305503809966495726170038764327461726688352468914133141719299067797<195>
prime factors 素因数
15153367202362469730176304572390126251169465682207430037826572030001171357467141<80>
33761548697873253621686884306490273450489637737169761916676891864821900210049302412421446080899600026261258019470417<116>
factorization results 素因数分解の結果
Number: n
N=511601144739315908030750033784419560252971418039249537043964969205381939958286777077867718582129358322985207851174062661693250807305503809966495726170038764327461726688352468914133141719299067797  ( 195 digits)
SNFS difficulty: 203 digits.
Divisors found:

Sat Jul  8 15:19:24 2023  prp80 factor: 15153367202362469730176304572390126251169465682207430037826572030001171357467141
Sat Jul  8 15:19:24 2023  prp116 factor: 33761548697873253621686884306490273450489637737169761916676891864821900210049302412421446080899600026261258019470417
Sat Jul  8 15:19:24 2023  elapsed time 02:57:12 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.103).
Factorization parameters were as follows:
#
# N = 58x10^202+5 = 64(201)5
#
n: 511601144739315908030750033784419560252971418039249537043964969205381939958286777077867718582129358322985207851174062661693250807305503809966495726170038764327461726688352468914133141719299067797
m: 10000000000000000000000000000000000000000
deg: 5
c5: 1160
c0: 1
skew: 0.24
# Murphy_E = 1.138e-11
type: snfs
lss: 1
rlim: 17000000
alim: 17000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17000000/17000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2726590 hash collisions in 16378037 relations (14369506 unique)
Msieve: matrix is 2306938 x 2307163 (651.2 MB)

Sieving start time: 2023/07/08 00:23:12
Sieving end time  : 2023/07/08 12:21:50

Total sieving time: 11hrs 58min 38secs.

Total relation processing time: 2hrs 46min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 54sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17000000,17000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 28, 2022 13:22:59 UTC 2022 年 10 月 28 日 (金) 22 時 22 分 59 秒 (日本時間)

58×10204+59

c191

name 名前Bob Backstrom
date 日付November 16, 2023 14:33:20 UTC 2023 年 11 月 16 日 (木) 23 時 33 分 20 秒 (日本時間)
composite number 合成数
40335524710750161925358424432316989473959084918146690150939183228380314246495845217491867091884766570383956283518743332482867294719242866330971788738944443543118045831133635469718005506488397<191>
prime factors 素因数
1459598624810104013240395582563928027011110702476781078931027983545979307360038311<82>
27634668891249383468854096407636289270412535541076586986987222967510631467918799233735933523608697020638114027<110>
factorization results 素因数分解の結果
Number: n
N=40335524710750161925358424432316989473959084918146690150939183228380314246495845217491867091884766570383956283518743332482867294719242866330971788738944443543118045831133635469718005506488397  ( 191 digits)
SNFS difficulty: 205 digits.
Divisors found:

Thu Nov 16 12:07:22 2023  prp82 factor: 1459598624810104013240395582563928027011110702476781078931027983545979307360038311
Thu Nov 16 12:07:22 2023  prp110 factor: 27634668891249383468854096407636289270412535541076586986987222967510631467918799233735933523608697020638114027
Thu Nov 16 12:07:22 2023  elapsed time 02:24:40 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
#
# N = 58x10^204+5 = 64(203)5
#
n: 40335524710750161925358424432316989473959084918146690150939183228380314246495845217491867091884766570383956283518743332482867294719242866330971788738944443543118045831133635469718005506488397
m: 10000000000000000000000000000000000
deg: 6
c6: 58
c0: 5
skew: 0.66
# Murphy_E = 9.874e-12
type: snfs
lss: 1
rlim: 18800000
alim: 18800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18800000/18800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3553155 hash collisions in 20645805 relations (17818803 unique)
Msieve: matrix is 2156558 x 2156784 (605.4 MB)

Sieving start time: 2023/11/15 13:56:28
Sieving end time  : 2023/11/16 09:42:18

Total sieving time: 19hrs 45min 50secs.

Total relation processing time: 2hrs 15min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 7sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18800000,18800000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovOctober 28, 2022 13:23:32 UTC 2022 年 10 月 28 日 (金) 22 時 23 分 32 秒 (日本時間)
2350Ignacio SantosNovember 14, 2023 16:06:43 UTC 2023 年 11 月 15 日 (水) 1 時 6 分 43 秒 (日本時間)

58×10205+59

c154

composite cofactor 合成数の残り
5220908052708807834452934066876855247642714312853428752211145265563435203266483395314301538929174812059714647671220671297229387945519316285600318109394281<154>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovOctober 30, 2022 06:28:35 UTC 2022 年 10 月 30 日 (日) 15 時 28 分 35 秒 (日本時間)
2350Ignacio SantosDecember 30, 2023 07:45:37 UTC 2023 年 12 月 30 日 (土) 16 時 45 分 37 秒 (日本時間)
4511e64480Ignacio SantosDecember 30, 2023 12:51:50 UTC 2023 年 12 月 30 日 (土) 21 時 51 分 50 秒 (日本時間)

58×10206+59

c157

name 名前Ignacio Santos
date 日付May 29, 2024 08:04:24 UTC 2024 年 5 月 29 日 (水) 17 時 4 分 24 秒 (日本時間)
composite number 合成数
1489429974239384152310045321858202746999617747843053461339824982609723113567400717244530085773051303770672843934023482106394435880885589676929156386151522901<157>
prime factors 素因数
28290216630016867589028745202838788310577<41>
composite cofactor 合成数の残り
52648235031860768876637587921802795827871037108550198184658157981472684501398405821906940072497315562339429762810213<116>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3864589872
Step 1 took 23704ms
Step 2 took 10250ms
********** Factor found in step 2: 28290216630016867589028745202838788310577
Found prime factor of 41 digits: 28290216630016867589028745202838788310577
Composite cofactor 52648235031860768876637587921802795827871037108550198184658157981472684501398405821906940072497315562339429762810213 has 116 digits
 
software ソフトウェア
GMP-ECM

c116

name 名前Dmitry Domanov
date 日付May 29, 2024 22:38:39 UTC 2024 年 5 月 30 日 (木) 7 時 38 分 39 秒 (日本時間)
composite number 合成数
52648235031860768876637587921802795827871037108550198184658157981472684501398405821906940072497315562339429762810213<116>
prime factors 素因数
2491426627888213798064108714232944258363488273<46>
21131762197021444178309175868342532337400286870356281907881071000053781<71>
factorization results 素因数分解の結果
N=52648235031860768876637587921802795827871037108550198184658157981472684501398405821906940072497315562339429762810213
  ( 116 digits)
Divisors found:
 r1=2491426627888213798064108714232944258363488273 (pp46)
 r2=21131762197021444178309175868342532337400286870356281907881071000053781 (pp71)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.18 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 52648235031860768876637587921802795827871037108550198184658157981472684501398405821906940072497315562339429762810213
skew: 74108.76
c0: -1094472138502238335812066969
c1: 389840210120227159588338
c2: -9526351438879134203
c3: -102421165037522
c4: 1378075696
c5: 9960
Y0: -22111273203624411201460
Y1: 20507897458523
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
lss: 0
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2350000, 2550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 501871 x 502097
Total sieving time: 0.00 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4700000,4700000,27,27,54,54,2.5,2.5,100000
total time: 0.18 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovOctober 30, 2022 06:28:41 UTC 2022 年 10 月 30 日 (日) 15 時 28 分 41 秒 (日本時間)
2350Ignacio SantosMay 29, 2024 07:13:50 UTC 2024 年 5 月 29 日 (水) 16 時 13 分 50 秒 (日本時間)
4511e64480Ignacio SantosMay 29, 2024 13:34:03 UTC 2024 年 5 月 29 日 (水) 22 時 34 分 3 秒 (日本時間)

58×10208+59

c170

composite cofactor 合成数の残り
48359491540468401893244822281198809105656041603714199408377977507523230569703608095600481467941115873708465640130568277700349365415919087386363310329479282776851069834129<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 28, 2022 13:24:56 UTC 2022 年 10 月 28 日 (金) 22 時 24 分 56 秒 (日本時間)

58×10209+59

c165

composite cofactor 合成数の残り
102305165976695704428815697910632961176893448008435431557925409975345029304449757967723805297826063974346854753509742794556179687819466858033189342377272333697352999<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 30, 2022 06:28:49 UTC 2022 年 10 月 30 日 (日) 15 時 28 分 49 秒 (日本時間)

58×10210+59

c195

name 名前Dmitry Domanov
date 日付October 28, 2022 15:52:16 UTC 2022 年 10 月 29 日 (土) 0 時 52 分 16 秒 (日本時間)
composite number 合成数
295617888823700974760061437758513860018225412573382570344746338691561088954036905360596507452190544162265928191337318492474086971333318252004936282867451206128029430729940556672534344936186310879<195>
prime factors 素因数
441332532034995366869833631762374586911<39>
669830269390292802485334682738152971006037353993620259655746900262804653264336521822658494108477298053183176459936027273808087516022029216898169679402477889<156>
factorization results 素因数分解の結果
Resuming ECM residue saved by @1a6e0305af62 with GMP-ECM 7.0.5-dev on Fri Oct 28 13:53:09 2022 
Input number is 295617888823700974760061437758513860018225412573382570344746338691561088954036905360596507452190544162265928191337318492474086971333318252004936282867451206128029430729940556672534344936186310879 (195 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:525613994
Step 1 took 0ms
Step 2 took 4765ms
********** Factor found in step 2: 441332532034995366869833631762374586911
Found prime factor of 39 digits: 441332532034995366869833631762374586911
Prime cofactor 669830269390292802485334682738152971006037353993620259655746900262804653264336521822658494108477298053183176459936027273808087516022029216898169679402477889 has 156 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 28, 2022 13:23:47 UTC 2022 年 10 月 28 日 (金) 22 時 23 分 47 秒 (日本時間)

58×10211+59

c141

name 名前Eric Jeancolas
date 日付August 23, 2023 05:49:54 UTC 2023 年 8 月 23 日 (水) 14 時 49 分 54 秒 (日本時間)
composite number 合成数
217169057622509658279464697826277824541523037199252824301034335255718277504434168896421885695384886030688666799304770001344304648219336507839<141>
prime factors 素因数
15426470133620613625690518428071848337412472155454100641623<59>
14077689564847961989521898586422145681217037301275283476276545852877757330098450393<83>
factorization results 素因数分解の結果
217169057622509658279464697826277824541523037199252824301034335255718277504434168896421885695384886030688666799304770001344304648219336507839=15426470133620613625690518428071848337412472155454100641623*14077689564847961989521898586422145681217037301275283476276545852877757330098450393

cado polynomial
n: 217169057622509658279464697826277824541523037199252824301034335255718277504434168896421885695384886030688666799304770001344304648219336507839
skew: 143011.681
c0: -44958946485304340548907731506588
c1: -1004720595537844469166267911
c2: 13752972400330510910208
c3: 76399983116186675
c4: -81114241224
c5: -1129680
Y0: -1028948228419418132657463922
Y1: 863180904104216803
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 2.431e-07
# f(x) = -1129680*x^5-81114241224*x^4+76399983116186675*x^3+13752972400330510910208*x^2-1004720595537844469166267911*x-44958946485304340548907731506588
# g(x) = 863180904104216803*x-1028948228419418132657463922

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

cado log (extracts)
Info:Square Root: Factors: 14077689564847961989521898586422145681217037301275283476276545852877757330098450393 15426470133620613625690518428071848337412472155454100641623
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 1570.44/255.189
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 766.8/596.189
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 471.90000000000003s
Info:Linear Algebra: Total cpu/real time for bwc: 62084.7/16295.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 39880.5, WCT time 10442.87, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (62720 iterations)
Info:Linear Algebra: Lingen CPU time 417.85, WCT time 101.02
Info:Linear Algebra: Mksol: CPU time 21381.02,  WCT time 5595.32, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (31488 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 14258
Info:Polynomial Selection (root optimized): Rootsieve time: 14253.5
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 33186637
Info:Lattice Sieving: Average J: 3797.07 for 928136 special-q, max bucket fill -bkmult 1.0,1s:1.086080
Info:Lattice Sieving: Total time: 574250s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 69931.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 48040/43.240/50.514/55.910/0.929
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 39500/41.360/45.082/51.210/1.038
Info:Polynomial Selection (size optimized): Total time: 38055.2
Info:Generate Factor Base: Total cpu/real time for makefb: 14.76/2.09572
Info:Square Root: Total cpu/real time for sqrt: 1570.44/255.189
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 297.22/247.057
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 246.7s
Info:Quadratic Characters: Total cpu/real time for characters: 106.26/26.2663
Info:Generate Free Relations: Total cpu/real time for freerel: 786.24/99.3826
Info:Filtering - Singleton removal: Total cpu/real time for purge: 366.19/298.109
Info:Filtering - Merging: Merged matrix has 2002095 rows and total weight 342751624 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1055.47/149.381
Info:Filtering - Merging: Total cpu/real time for replay: 78.75/67.624
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.18582e+06/168551
Info:root: Cleaning up computation data in /tmp/cado.ncfm0ea3
14077689564847961989521898586422145681217037301275283476276545852877757330098450393 15426470133620613625690518428071848337412472155454100641623
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
Intel(R) Core(TM) i7-8550U CPU @ 1.80GHz (8 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e60--
4511e60--
5043e680541600Lionel DebrouxOctober 5, 2022 23:20:42 UTC 2022 年 10 月 6 日 (木) 8 時 20 分 42 秒 (日本時間)
6454Ignacio SantosDecember 23, 2022 08:49:24 UTC 2022 年 12 月 23 日 (金) 17 時 49 分 24 秒 (日本時間)

58×10212+59

c206

composite cofactor 合成数の残り
10897752839209866697653863188088929007650720407694704113938335798339263260989258733254792477051986499224948999691039312393883718891601208045964992866716170648400229142163750517255732013660558654697965351027<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 23, 2022 19:49:00 UTC 2022 年 10 月 24 日 (月) 4 時 49 分 0 秒 (日本時間)

58×10214+59

c205

composite cofactor 合成数の残り
3616934633968148387526652105068053433180016222985154155505039070505667529891676181127809550741628894526412207544370029172932260317004115098502136860520668896308623073523514064365840699017964396903922075413<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 23, 2022 19:49:06 UTC 2022 年 10 月 24 日 (月) 4 時 49 分 6 秒 (日本時間)

58×10215+59

c198

composite cofactor 合成数の残り
135084402605937628540411570097540619661077733403076700755894790756284419482907971803938386527500568007697225900740275787892739799649572159119477957311333754982629031846199425739445557889238133282939<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 28, 2022 13:23:57 UTC 2022 年 10 月 28 日 (金) 22 時 23 分 57 秒 (日本時間)

58×10216+59

c174

composite cofactor 合成数の残り
191112190830336838818476984672460607549684297661136242702025347726750685040800032043325312447207358630071196382315378811780027656486970315292566885353344621850172270542581743<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 28, 2022 13:24:07 UTC 2022 年 10 月 28 日 (金) 22 時 24 分 7 秒 (日本時間)

58×10221+59

c174

composite cofactor 合成数の残り
521034277937006260180435372888259929582988122959261972472723930532749689729760743655453826125710304974336177055663620722216190266956270677790845544753992232837292981153524867<174>

ECM

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

58×10223+59

c157

name 名前Dmitry Domanov
date 日付October 31, 2022 13:15:11 UTC 2022 年 10 月 31 日 (月) 22 時 15 分 11 秒 (日本時間)
composite number 合成数
2645915001157033640143114824782316725634307297531252054910663983588640022685053123199593656442274661925139505939111096656349260905731734458866193626794910389<157>
prime factors 素因数
9861548160613219668027051081214354141<37>
1092374543416211474668837620812402624803411273<46>
245617449718970220120032216853626586745172923581903424839437890476131269873<75>
factorization results 素因数分解の結果
Resuming ECM residue saved by @a1b6371f0233 with GMP-ECM 7.0.5-dev on Sun Oct 30 07:26:11 2022 
Input number is 2645915001157033640143114824782316725634307297531252054910663983588640022685053123199593656442274661925139505939111096656349260905731734458866193626794910389 (157 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:643879695
Step 1 took 0ms
Step 2 took 5492ms
********** Factor found in step 2: 1092374543416211474668837620812402624803411273
Found prime factor of 46 digits: 1092374543416211474668837620812402624803411273
Composite cofactor 2422168309490620742297816516517505740122400707709915910002323262098621312449306761062094189647830582069866094093 has 112 digits
--
Resuming ECM residue saved by @a1b6371f0233 with GMP-ECM 7.0.5-dev on Sun Oct 30 07:26:11 2022 
Input number is 2422168309490620742297816516517505740122400707709915910002323262098621312449306761062094189647830582069866094093 (112 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:643879764
Step 1 took 0ms
Step 2 took 3799ms
********** Factor found in step 2: 9861548160613219668027051081214354141
Found prime factor of 37 digits: 9861548160613219668027051081214354141
Prime cofactor 245617449718970220120032216853626586745172923581903424839437890476131269873 has 75 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 30, 2022 06:29:00 UTC 2022 年 10 月 30 日 (日) 15 時 29 分 0 秒 (日本時間)

58×10224+59

c175

composite cofactor 合成数の残り
3390138829001307720965974307690178727058404166543676200252762794271032079223646730476910698055144205521547923762883523830457696837679224568180486949863663043916341481067988017<175>

ECM

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

58×10225+59

c201

composite cofactor 合成数の残り
208951142455692513008147432073432136142992767843153381387183502336205972017912257783010931300350773913950293717865208471817653032166986306752009027812794934603570751158687680696174089866423222136782901<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 23, 2022 19:49:14 UTC 2022 年 10 月 24 日 (月) 4 時 49 分 14 秒 (日本時間)

58×10229+59

c216

name 名前Dmitry Domanov
date 日付October 24, 2022 04:40:06 UTC 2022 年 10 月 24 日 (月) 13 時 40 分 6 秒 (日本時間)
composite number 合成数
104382884768046676701560669100839650359502841288668842266731805417178630133053308464109778164675422780679419817980719777130180277672421387201721284059563043721231550940754581355395546697721524204952494302377576121471<216>
prime factors 素因数
1472435357694844187298214381709083907738123<43>
70891319080697853487115611835819285541847487256045560124293627007854392307682398044639810337980439536886675116852679675043372583507684851667760479641383582042409536235482077<173>
factorization results 素因数分解の結果
Resuming ECM residue saved by @25176df8957a with GMP-ECM 7.0.5-dev on Sun Oct 23 20:53:14 2022 
Input number is 104382884768046676701560669100839650359502841288668842266731805417178630133053308464109778164675422780679419817980719777130180277672421387201721284059563043721231550940754581355395546697721524204952494302377576121471 (216 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2450708159
Step 1 took 0ms
Step 2 took 5392ms
********** Factor found in step 2: 1472435357694844187298214381709083907738123
Found prime factor of 43 digits: 1472435357694844187298214381709083907738123
Prime cofactor 70891319080697853487115611835819285541847487256045560124293627007854392307682398044639810337980439536886675116852679675043372583507684851667760479641383582042409536235482077 has 173 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 23, 2022 19:49:21 UTC 2022 年 10 月 24 日 (月) 4 時 49 分 21 秒 (日本時間)

58×10231+59

c202

name 名前Dmitry Domanov
date 日付October 24, 2022 04:40:25 UTC 2022 年 10 月 24 日 (月) 13 時 40 分 25 秒 (日本時間)
composite number 合成数
4785920057859442148222904039339165092102492680166618347911122693779100514995900602818143569409367801453494337636817024929196337160568104948730571560994318350920325454804443991818456324070933622024287713<202>
prime factors 素因数
132757752669143858450760979018195856921<39>
composite cofactor 合成数の残り
36050023155987083574497611308679243698612749357546662347973960188182934277805722786038006051104988700469698365368305239521209992427005358589485994536802104682802953<164>
factorization results 素因数分解の結果
Resuming ECM residue saved by @25176df8957a with GMP-ECM 7.0.5-dev on Sun Oct 23 20:56:09 2022 
Input number is 4785920057859442148222904039339165092102492680166618347911122693779100514995900602818143569409367801453494337636817024929196337160568104948730571560994318350920325454804443991818456324070933622024287713 (202 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1876660491
Step 1 took 0ms
Step 2 took 4958ms
********** Factor found in step 2: 132757752669143858450760979018195856921
Found prime factor of 39 digits: 132757752669143858450760979018195856921
Composite cofactor 36050023155987083574497611308679243698612749357546662347973960188182934277805722786038006051104988700469698365368305239521209992427005358589485994536802104682802953 has 164 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 23, 2022 19:49:30 UTC 2022 年 10 月 24 日 (月) 4 時 49 分 30 秒 (日本時間)

58×10233+59

c202

composite cofactor 合成数の残り
2896526017195018120696306180425911981217452571639352508040317885371447709232710949335206528554730483384878605301813988265139820197036947046190698813552825904749560589815276576606166787428156984441925387<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 23, 2022 19:49:37 UTC 2022 年 10 月 24 日 (月) 4 時 49 分 37 秒 (日本時間)

58×10236+59

c191

composite cofactor 合成数の残り
81600936188490140627963209880020709143260987068464508262495435305012806942398779897122035166473331565830237978262753596810945038470315524684356259227045762679557915838714188402111191610648919<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 28, 2022 13:24:14 UTC 2022 年 10 月 28 日 (金) 22 時 24 分 14 秒 (日本時間)

58×10237+59

c174

composite cofactor 合成数の残り
442814517376833922996053369652189394673229003737922203836628266808257719021476914755917126981171858983732812923505236035432872373230596663496261156748469947527290133316236703<174>

ECM

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

58×10238+59

c183

composite cofactor 合成数の残り
261287373804199937684783264990024155869949289997337465765049833978281435825265642423589410435260906829480842290273484924711285638583077429474977322551036541354772340698164093784158141<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 28, 2022 13:24:22 UTC 2022 年 10 月 28 日 (金) 22 時 24 分 22 秒 (日本時間)

58×10239+59

c224

composite cofactor 合成数の残り
19547905997032318657138333683890032935140450962646530250887498190904292646529335665930615038041685211402413285737795423673632220505021127968420493362212329348037916075375911946109032178644477277087247114558799154213323116311<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 21, 2022 06:27:39 UTC 2022 年 10 月 21 日 (金) 15 時 27 分 39 秒 (日本時間)

58×10240+59

c184

composite cofactor 合成数の残り
1319293315587858349130748165778096535080581542868538728590274612465646856247516980473872413820433719122588707790522522161717724622505802123097991895166779149524955843693382114865381199<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 28, 2022 13:24:31 UTC 2022 年 10 月 28 日 (金) 22 時 24 分 31 秒 (日本時間)

58×10242+59

c206

composite cofactor 合成数の残り
43296497028151941564044560953795155284930840103652433033342675037266888945605829820225345282468367644238850050288206718717088067905449771971838589881068343763431348104125615530483762279342438482249888720311<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 23, 2022 19:49:44 UTC 2022 年 10 月 24 日 (月) 4 時 49 分 44 秒 (日本時間)

58×10243+59

c223

composite cofactor 合成数の残り
6655294554977314086350161235840605634473381535914816040939701487257836668548714684099146831340120739841881236087792223482745180262965370701996839687519102573832776744554455395676665019699179193783077557634081706399265362543<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 21, 2022 06:27:45 UTC 2022 年 10 月 21 日 (金) 15 時 27 分 45 秒 (日本時間)

58×10246+59

c213

composite cofactor 合成数の残り
148382998720693449319239354420359920928310208255269042781447643802615752599116738297265299758621105305024002201070322746619120379578801512498779790175544317354898693069493771379063331313148860930791758193263298619<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 23, 2022 19:49:52 UTC 2022 年 10 月 24 日 (月) 4 時 49 分 52 秒 (日本時間)

58×10247+59

c233

composite cofactor 合成数の残り
65043725042714284371904805177847680687871150157444845622948931498258473161842206750626269497846714185196829910372306126200182893542446843740891569629990749640049904945096582343593408956336190467619659589623490135099333865448521672561<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 21, 2022 06:27:52 UTC 2022 年 10 月 21 日 (金) 15 時 27 分 52 秒 (日本時間)

58×10248+59

c188

composite cofactor 合成数の残り
11654054860972735625771700719383417932274907596963420072049978819287637844598122162088486150281646808575732250374398596579042380708792968114054647909984646866522268207060099746563365177889<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 28, 2022 13:24:40 UTC 2022 年 10 月 28 日 (金) 22 時 24 分 40 秒 (日本時間)

58×10249+59

c238

name 名前Dmitry Domanov
date 日付October 22, 2022 02:42:22 UTC 2022 年 10 月 22 日 (土) 11 時 42 分 22 秒 (日本時間)
composite number 合成数
3439202612668386556666190792974083234161713715135658839674997339550688589593033342972997458343841520544538856678268973487388797524456436753458572324601010969915328839776107752791165913631881016376139539684938749528996154942868132319251029<238>
prime factors 素因数
20700779489453558751726702779318258651<38>
composite cofactor 合成数の残り
166138797547240171514165978049799775264145141070519563649368578758732575180343523432997196752357933940357778050616619901489955624609727380859066130322255894620970629032601428526482721151909562980577679<201>
factorization results 素因数分解の結果
Resuming ECM residue saved by @6098804c6ca6 with GMP-ECM 7.0.5-dev on Fri Oct 21 08:28:55 2022 
Input number is 3439202612668386556666190792974083234161713715135658839674997339550688589593033342972997458343841520544538856678268973487388797524456436753458572324601010969915328839776107752791165913631881016376139539684938749528996154942868132319251029 (238 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1396842857
Step 1 took 0ms
Step 2 took 3953ms
********** Factor found in step 2: 20700779489453558751726702779318258651
Found prime factor of 38 digits: 20700779489453558751726702779318258651
Composite cofactor 166138797547240171514165978049799775264145141070519563649368578758732575180343523432997196752357933940357778050616619901489955624609727380859066130322255894620970629032601428526482721151909562980577679 has 201 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 21, 2022 06:27:58 UTC 2022 年 10 月 21 日 (金) 15 時 27 分 58 秒 (日本時間)

58×10250+59

c200

composite cofactor 合成数の残り
53241659227691335321675361783259889185771071967748316939581666151883085151840312339292930619851554620187291031903991855613523617359879016625666152394550543670632706802106577359748003679455885422741457<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 23, 2022 19:49:58 UTC 2022 年 10 月 24 日 (月) 4 時 49 分 58 秒 (日本時間)

58×10251+59

c251

composite cofactor 合成数の残り
42962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 08:44:24 UTC 2022 年 10 月 20 日 (木) 17 時 44 分 24 秒 (日本時間)

58×10252+59

c220

name 名前Dmitry Domanov
date 日付October 22, 2022 02:42:40 UTC 2022 年 10 月 22 日 (土) 11 時 42 分 40 秒 (日本時間)
composite number 合成数
5811416878122676481936335219893808054149454116127959908226764162197996686408150779919920157424371294134791031574932596758127706904080217421162800800712956934880840328784917782416914034015734619054699392030291002748662679<220>
prime factors 素因数
2166881404580980764524205556061938825981<40>
composite cofactor 合成数の残り
2681926600060724281076184064191950074915762389341665633549185417184956045654566471796390153913603298144355247817847605433173619375267381477087780664634726053688267198040259888045859<181>
factorization results 素因数分解の結果
Resuming ECM residue saved by @6098804c6ca6 with GMP-ECM 7.0.5-dev on Fri Oct 21 08:31:51 2022 
Input number is 5811416878122676481936335219893808054149454116127959908226764162197996686408150779919920157424371294134791031574932596758127706904080217421162800800712956934880840328784917782416914034015734619054699392030291002748662679 (220 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2463382196
Step 1 took 0ms
Step 2 took 3510ms
********** Factor found in step 2: 2166881404580980764524205556061938825981
Found prime factor of 40 digits: 2166881404580980764524205556061938825981
Composite cofactor 2681926600060724281076184064191950074915762389341665633549185417184956045654566471796390153913603298144355247817847605433173619375267381477087780664634726053688267198040259888045859 has 181 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 21, 2022 06:28:05 UTC 2022 年 10 月 21 日 (金) 15 時 28 分 5 秒 (日本時間)

58×10254+59

c245

composite cofactor 合成数の残り
18561411484271892555545844209065767704584379697843092855318579331731799482267538344402142330021778453401058885376296497256858144476848327765866200773625488789047482147357173343247428680958573672671701825656377442776760555064077461587514200315249<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 08:44:30 UTC 2022 年 10 月 20 日 (木) 17 時 44 分 30 秒 (日本時間)

58×10255+59

c221

composite cofactor 合成数の残り
11227712076006409148169655349861450481210591342822910795199025325594247428199860906436830698093589132715792209005350751595415689075039551415454972804520686882182744290614613118891366370850211187138629572007238557114830437<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 21, 2022 06:28:12 UTC 2022 年 10 月 21 日 (金) 15 時 28 分 12 秒 (日本時間)

58×10256+59

c202

composite cofactor 合成数の残り
5582017267186760028377729505197541147779665105891709118945764092401398813488282645815005690860828800215919501974231357980532526273759318008719189720012941513011228328693630947224629352402446854425348777<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 23, 2022 19:50:06 UTC 2022 年 10 月 24 日 (月) 4 時 50 分 6 秒 (日本時間)

58×10257+59

c226

composite cofactor 合成数の残り
2234132631692084611767985927281983399801732629050423197590568933864523748515035406290818814739251504545260214398345598207079484673850400807703679674701202827044565119498249565014995629436175468011094187011017246870531389948077<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 21, 2022 06:28:19 UTC 2022 年 10 月 21 日 (金) 15 時 28 分 19 秒 (日本時間)

58×10259+59

c258

composite cofactor 合成数の残り
991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991453<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 08:44:37 UTC 2022 年 10 月 20 日 (木) 17 時 44 分 37 秒 (日本時間)

58×10261+59

c247

composite cofactor 合成数の残り
5183131805688114734252682422122562046918860183381703378139055171206410495752265816656564673796978321402883542838083394129941878200232197515874098774704494237916768192661675969768008894236687596384571797478091127990047921158513623131427094147309461<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 08:44:44 UTC 2022 年 10 月 20 日 (木) 17 時 44 分 44 秒 (日本時間)

58×10262+59

c246

composite cofactor 合成数の残り
146251734028300268311746271919493700264912775914164521432614374729788155751754933585997621513825041282389300218506426819118354962162962975156093217578455576488445581096371416693012734227625270255532520288261550675580765137770209459098103035761201<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 08:44:51 UTC 2022 年 10 月 20 日 (木) 17 時 44 分 51 秒 (日本時間)

58×10263+59

c232

composite cofactor 合成数の残り
9691892075020834421346408159754830478284109091398077426430578306667176324684445960812336177991932382515377276645397683942700572905413728957255222409127047219058832109293454154707784422266699600678950101885343351552909607339482908571<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 21, 2022 06:28:26 UTC 2022 年 10 月 21 日 (金) 15 時 28 分 26 秒 (日本時間)

58×10265+59

c181

name 名前Dmitry Domanov
date 日付April 29, 2024 06:52:21 UTC 2024 年 4 月 29 日 (月) 15 時 52 分 21 秒 (日本時間)
composite number 合成数
2296443015748668689244851794982136939690283699330946392840141722476666360524794875790148303732911538353046646169114670347119028912656154596911887965904847674637081751119195372116719<181>
prime factors 素因数
282105856777423810234211875821200815594075588783<48>
8140359232458327976260989023053934064420600412725149734894377300914069046482112109115776643160515593791566851412723899080370629075393<133>
factorization results 素因数分解の結果
Resuming ECM residue saved by @9c7c9a2f6047 with GMP-ECM 7.0.5-dev on Sat Apr 27 13:35:09 2024 
Input number is 2296443015748668689244851794982136939690283699330946392840141722476666360524794875790148303732911538353046646169114670347119028912656154596911887965904847674637081751119195372116719 (181 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:1568382564
Step 1 took 0ms
Step 2 took 24762ms
********** Factor found in step 2: 282105856777423810234211875821200815594075588783
Found prime factor of 48 digits: 282105856777423810234211875821200815594075588783
Prime cofactor 8140359232458327976260989023053934064420600412725149734894377300914069046482112109115776643160515593791566851412723899080370629075393 has 133 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosOctober 7, 2022 13:07:29 UTC 2022 年 10 月 7 日 (金) 22 時 7 分 29 秒 (日本時間)
4511e64480Ignacio SantosOctober 12, 2022 15:12:34 UTC 2022 年 10 月 13 日 (木) 0 時 12 分 34 秒 (日本時間)
5043e61792 / 6452Dmitry DomanovApril 27, 2024 11:24:28 UTC 2024 年 4 月 27 日 (土) 20 時 24 分 28 秒 (日本時間)

58×10266+59

c258

composite cofactor 合成数の残り
375399759522732771429083386928202319970966919163813488528435282446974906134146082097384397871372944197528327012949262279489481427053694278402784559042722561539430634932257056785957555044964634014216297632149868148293919758216613449495144976430854573154805337<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 08:44:58 UTC 2022 年 10 月 20 日 (木) 17 時 44 分 58 秒 (日本時間)

58×10267+59

c234

composite cofactor 合成数の残り
158403394715413851728456368171490186703944877589551790550257992225117556937023252272955272332053224754723811982320913563063675458916146150006291912931735098441096065114141385712634632634795570908659626573345670586741567203350246533269<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 21, 2022 06:28:33 UTC 2022 年 10 月 21 日 (金) 15 時 28 分 33 秒 (日本時間)

58×10268+59

c238

composite cofactor 合成数の残り
1854862026816418195070046272451124747684410033836456219860026818571579378768671362851026584063316214410727907046482035602844988114878974970293658090748394609821854603066818151014751620996656067807246202651404645945710041540897671877214049<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 21, 2022 06:28:40 UTC 2022 年 10 月 21 日 (金) 15 時 28 分 40 秒 (日本時間)

58×10269+59

c263

composite cofactor 合成数の残り
96670460982260220380316594092984816320707254426402902980608655556397255258935579888177277624813440594209989408750960141852234366865566140137667070099168059012982926246521842648990639549268975473954019361926622286591415379720320689253719875171767158527638876492569<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 08:45:05 UTC 2022 年 10 月 20 日 (木) 17 時 45 分 5 秒 (日本時間)

58×10270+59

c237

composite cofactor 合成数の残り
145427408011174573768633766335430138333384589374230569997107307634693213510961594552851354318830520545407030432212886742672746689908519452690273786511773485811464679016968988436045478408649999810664410606062758509130283515804291752212553<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 21, 2022 06:28:47 UTC 2022 年 10 月 21 日 (金) 15 時 28 分 47 秒 (日本時間)

58×10274+59

c243

composite cofactor 合成数の残り
103301228182150132623996919128314930913402440643744867528820410012532279355031169517186749381195406766699028959013803011608386476229135460754197809991137076957369723621316053855377113645472278228097518784673421536514669031683079717197852333569<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 08:45:11 UTC 2022 年 10 月 20 日 (木) 17 時 45 分 11 秒 (日本時間)

58×10275+59

c255

name 名前Dmitry Domanov
date 日付October 21, 2022 19:30:59 UTC 2022 年 10 月 22 日 (土) 4 時 30 分 59 秒 (日本時間)
composite number 合成数
123406479787810621304914315634366782574760043256181637995597493236446146063486162565888443936473487481136833855019178491853980078104945456650056260433059128375725871851908134870282034994858059556621524241383014945155684246932125476196283184182078690994193<255>
prime factors 素因数
7181984066176307653814147780862183972169<40>
composite cofactor 合成数の残り
17182783845065295498414603753145578679230112372226994917408123741183626620925795947324737738673916591879069500751135038606071332662451038418549544842807797693942130444351238906035676559684484131183363110459320540297<215>
factorization results 素因数分解の結果
Resuming ECM residue saved by @c34605714376 with GMP-ECM 7.0.5-dev on Thu Oct 20 09:02:18 2022 
Input number is 123406479787810621304914315634366782574760043256181637995597493236446146063486162565888443936473487481136833855019178491853980078104945456650056260433059128375725871851908134870282034994858059556621524241383014945155684246932125476196283184182078690994193 (255 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3070895418
Step 1 took 0ms
Step 2 took 5986ms
********** Factor found in step 2: 7181984066176307653814147780862183972169
Found prime factor of 40 digits: 7181984066176307653814147780862183972169
Composite cofactor 17182783845065295498414603753145578679230112372226994917408123741183626620925795947324737738673916591879069500751135038606071332662451038418549544842807797693942130444351238906035676559684484131183363110459320540297 has 215 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 08:45:18 UTC 2022 年 10 月 20 日 (木) 17 時 45 分 18 秒 (日本時間)

58×10276+59

c251

name 名前Dmitry Domanov
date 日付October 22, 2022 10:45:29 UTC 2022 年 10 月 22 日 (土) 19 時 45 分 29 秒 (日本時間)
composite number 合成数
17286585195840035582635433629143239567850748724640949248197030727741859310810534486371274185719905163233605688007877081289211048223649224322456048212810443294680430847796682732053191308062254003356077096268544621761543811093152196190315768555840451827<251>
prime factors 素因数
41650383571496106072673268607116429<35>
composite cofactor 合成数の残り
415040240053642592638611029633324618888720792950432440568374834538107631818252914862464088276383002953777044919666992212518132060121582266222006871073739952455333364524716180099790640270439909722404241467646298939263<216>
factorization results 素因数分解の結果
Resuming ECM residue saved by @c34605714376 with GMP-ECM 7.0.5-dev on Thu Oct 20 10:27:07 2022 
Input number is 17286585195840035582635433629143239567850748724640949248197030727741859310810534486371274185719905163233605688007877081289211048223649224322456048212810443294680430847796682732053191308062254003356077096268544621761543811093152196190315768555840451827 (251 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2512103450
Step 1 took 0ms
Step 2 took 6209ms
********** Factor found in step 2: 41650383571496106072673268607116429
Found prime factor of 35 digits: 41650383571496106072673268607116429
Composite cofactor 415040240053642592638611029633324618888720792950432440568374834538107631818252914862464088276383002953777044919666992212518132060121582266222006871073739952455333364524716180099790640270439909722404241467646298939263 has 216 digits

c216

name 名前Dmitry Domanov
date 日付October 23, 2022 16:43:00 UTC 2022 年 10 月 24 日 (月) 1 時 43 分 0 秒 (日本時間)
composite number 合成数
415040240053642592638611029633324618888720792950432440568374834538107631818252914862464088276383002953777044919666992212518132060121582266222006871073739952455333364524716180099790640270439909722404241467646298939263<216>
prime factors 素因数
192532639492594951528132761839343526975639<42>
2155687685721493287072429070677712236787545498911236243275301828973708275258905978101869755500198215800493113038330733720174685164247331507366479668725855814048855470322230617<175>
factorization results 素因数分解の結果
Resuming ECM residue saved by @c34605714376 with GMP-ECM 7.0.5-dev on Thu Oct 20 10:27:07 2022 
Input number is 415040240053642592638611029633324618888720792950432440568374834538107631818252914862464088276383002953777044919666992212518132060121582266222006871073739952455333364524716180099790640270439909722404241467646298939263 (216 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2512104102
Step 1 took 0ms
Step 2 took 5280ms
********** Factor found in step 2: 192532639492594951528132761839343526975639
Found prime factor of 42 digits: 192532639492594951528132761839343526975639
Prime cofactor 2155687685721493287072429070677712236787545498911236243275301828973708275258905978101869755500198215800493113038330733720174685164247331507366479668725855814048855470322230617 has 175 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 08:45:25 UTC 2022 年 10 月 20 日 (木) 17 時 45 分 25 秒 (日本時間)

58×10277+59

c236

composite cofactor 合成数の残り
44559176153263587783529494058232540357454814735770164475480701012454583146887466788558096135827934583317290595950627606600654044365465532750236127310620050210466394151009546928670266092879458048582425860655739480192403523918364028793773<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 21, 2022 06:28:53 UTC 2022 年 10 月 21 日 (金) 15 時 28 分 53 秒 (日本時間)

58×10281+59

c252

composite cofactor 合成数の残り
570507999310095807181296108317313791808296813003572714110073340241485103794558099384216471391003521869421498749350049762998431337137393512077982511981586617584523078327345819460855659157371776955473158818355307535176146452885509570016444744549715785291<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 08:45:32 UTC 2022 年 10 月 20 日 (木) 17 時 45 分 32 秒 (日本時間)

58×10282+59

c240

composite cofactor 合成数の残り
616562267571057036598238595587822044261700780519264763009616980785553010409514191736468719088002321565833811936914133030898575095418312003986349173157304499750121192765780633055992133232747461139072349614532323565755176770910309483584182789<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 08:45:39 UTC 2022 年 10 月 20 日 (木) 17 時 45 分 39 秒 (日本時間)

58×10283+59

c252

composite cofactor 合成数の残り
132432590105529682786741772824105857244585438248534965689031321870721791664348968802519667572915582051650185937475116275219952995151699247498327747397304251309401989452422204974526247686477964747107156689347784832828627406084314687684412469283969721433<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 08:45:46 UTC 2022 年 10 月 20 日 (木) 17 時 45 分 46 秒 (日本時間)

58×10284+59

c272

composite cofactor 合成数の残り
17513252019072728577902936414002412292766251066350842119886710605743431019959321845001282239295098390006193798853783216694873777559665608607829932491362687791940535328412849620599270700221244145566294638067385291656812510307635549199763798898849871393421036459482053782619<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 08:45:52 UTC 2022 年 10 月 20 日 (木) 17 時 45 分 52 秒 (日本時間)

58×10285+59

c219

composite cofactor 合成数の残り
559338307078927785916092077344730294051747068977854316678431653107080917903155203847650014376894204671536246071089393955048946033168883299022097535872720099532981351395810556047805081337299881986264300412862314020431319<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 23, 2022 19:50:12 UTC 2022 年 10 月 24 日 (月) 4 時 50 分 12 秒 (日本時間)

58×10286+59

c277

composite cofactor 合成数の残り
9936870759389594754032137394470838362224077920843763174606819917290129002787079890227638856045710697178372805359888740510763745572817725536303924680069795665336541218027563344582665125996316159926763535543690847919418998369216537372982835056046256693961529679489571930487702351<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 08:45:58 UTC 2022 年 10 月 20 日 (木) 17 時 45 分 58 秒 (日本時間)

58×10287+59

c221

composite cofactor 合成数の残り
17914346461420427877655559000977829016505508888293411242815474847637687689485115705737254260349696660554420033975711902249243993547176912713203961876657578229151645922072751234864197781715747489216050754273506204231315481<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 21, 2022 06:29:00 UTC 2022 年 10 月 21 日 (金) 15 時 29 分 0 秒 (日本時間)

58×10288+59

c245

composite cofactor 合成数の残り
73826788287081665990590784211128200658878530268438493490148423156942942724757158298917102353064957841029566510177714527071294855361563606871948844484670419983587799946556125574665006284980391613155809952135029545098462457924046232256711761431073<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 08:46:05 UTC 2022 年 10 月 20 日 (木) 17 時 46 分 5 秒 (日本時間)

58×10290+59

c253

composite cofactor 合成数の残り
6735565250956149946602269350556455175625846217809087844826695066339719012756687087512311105080866907834671362573027120681151984773776013514778407376263637638028877728335948344652645300074908272105492597165101175418919038387546502537930505471443529079013<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 08:46:12 UTC 2022 年 10 月 20 日 (木) 17 時 46 分 12 秒 (日本時間)

58×10291+59

c259

composite cofactor 合成数の残り
3104238535037099661636333618788441063068737115148546081537287130588472561728572894952954839825027695433374358216753997045221798810803313219237790444973129323184057493489955013428011456335479859495861045632688065430516753087157198218560667841454320433198147537<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 08:46:18 UTC 2022 年 10 月 20 日 (木) 17 時 46 分 18 秒 (日本時間)

58×10292+59

c287

composite cofactor 合成数の残り
86719700248870588041801885854446963801253398702045314033714526222616946375079150416067665288870049781593444588728083651617060755373444185032927320667771595261216931572923418281260396084755050488059968167889339681813458448928451014209321919226579887159727969271322766986408182153235205507<287>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 08:46:25 UTC 2022 年 10 月 20 日 (木) 17 時 46 分 25 秒 (日本時間)

58×10294+59

c253

composite cofactor 合成数の残り
1672560314526661455882160451339312604880254780312493705315084580014165615848652414084981449585471374798317244597592174696039736355035402041436323664646390817651827498874983594183827341916943613257525050337209137819459306386222693158676714675219135297089<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 08:46:32 UTC 2022 年 10 月 20 日 (木) 17 時 46 分 32 秒 (日本時間)

58×10295+59

c265

composite cofactor 合成数の残り
4495978140175549375158411118633544046206049235835387091956271953080247895815661541684122663578918102385844467021959681014574868618161721344085944221536141368954999764747085576085217002035928631086999945859492776337071132613499750229123750879707070840411693402106927<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 08:46:39 UTC 2022 年 10 月 20 日 (木) 17 時 46 分 39 秒 (日本時間)

58×10296+59

c243

name 名前Dmitry Domanov
date 日付October 21, 2022 20:16:40 UTC 2022 年 10 月 22 日 (土) 5 時 16 分 40 秒 (日本時間)
composite number 合成数
363942344778369226042484162946991558982882627128283968033037720579144598740725484436807772817100708372506100575165303378878057992412506020866488712157543691834110751743800062396023859954800140026445806603469839961805331741633172736907146123293<243>
prime factors 素因数
182760023145894069968948635451350531391512968487<48>
composite cofactor 合成数の残り
1991367359851123115203831482554828513259911728852162185642240688988769135676659663519276687550115732991646156283801874601601750157881389412959119307038202430879134117075479532859640244841526022939<196>
factorization results 素因数分解の結果
Resuming ECM residue saved by @c34605714376 with GMP-ECM 7.0.5-dev on Thu Oct 20 09:06:46 2022 
Input number is 363942344778369226042484162946991558982882627128283968033037720579144598740725484436807772817100708372506100575165303378878057992412506020866488712157543691834110751743800062396023859954800140026445806603469839961805331741633172736907146123293 (243 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3438446187
Step 1 took 0ms
Step 2 took 5660ms
********** Factor found in step 2: 182760023145894069968948635451350531391512968487
Found prime factor of 48 digits: 182760023145894069968948635451350531391512968487
Composite cofactor 1991367359851123115203831482554828513259911728852162185642240688988769135676659663519276687550115732991646156283801874601601750157881389412959119307038202430879134117075479532859640244841526022939 has 196 digits

c196

name 名前Dmitry Domanov
date 日付October 23, 2022 16:41:53 UTC 2022 年 10 月 24 日 (月) 1 時 41 分 53 秒 (日本時間)
composite number 合成数
1991367359851123115203831482554828513259911728852162185642240688988769135676659663519276687550115732991646156283801874601601750157881389412959119307038202430879134117075479532859640244841526022939<196>
prime factors 素因数
306516399828518415181765639190142097937<39>
composite cofactor 合成数の残り
6496772639131870214989826252724956653656609213978102160854597409170824805235832935106075886919266368728787782753311075750661906844435306458641736108020272747<157>
factorization results 素因数分解の結果
Resuming ECM residue saved by @c34605714376 with GMP-ECM 7.0.5-dev on Thu Oct 20 09:06:46 2022 
Input number is 1991367359851123115203831482554828513259911728852162185642240688988769135676659663519276687550115732991646156283801874601601750157881389412959119307038202430879134117075479532859640244841526022939 (196 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3438447267
Step 1 took 0ms
Step 2 took 5217ms
********** Factor found in step 2: 306516399828518415181765639190142097937
Found prime factor of 39 digits: 306516399828518415181765639190142097937
Composite cofactor 6496772639131870214989826252724956653656609213978102160854597409170824805235832935106075886919266368728787782753311075750661906844435306458641736108020272747 has 157 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovOctober 20, 2022 08:46:46 UTC 2022 年 10 月 20 日 (木) 17 時 46 分 46 秒 (日本時間)
2350Ignacio SantosOctober 26, 2022 15:00:10 UTC 2022 年 10 月 27 日 (木) 0 時 0 分 10 秒 (日本時間)
4511e64480Ignacio SantosOctober 27, 2022 13:16:36 UTC 2022 年 10 月 27 日 (木) 22 時 16 分 36 秒 (日本時間)

58×10297+59

c214

composite cofactor 合成数の残り
1786065712279983889593744948694346230255162005678812741489768764204076324621455843616951947139999706391916658368889847869621948670714655016551964230165983871654391101748499422369515960353180188417270230997306858347<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 23, 2022 19:50:19 UTC 2022 年 10 月 24 日 (月) 4 時 50 分 19 秒 (日本時間)

58×10299+59

c290

name 名前Dmitry Domanov
date 日付October 22, 2022 15:16:44 UTC 2022 年 10 月 23 日 (日) 0 時 16 分 44 秒 (日本時間)
composite number 合成数
61523178753297605719196309238126548559259478817451573936930290084225942942425699575176897711225316768157415871445465086559717328055341293262556794823468761665999631036692837445769361850951958150321904723632192532827512924282754419449910024422176862869111109306890856947595635804542104505431<290>
prime factors 素因数
6771797635825448909195211105136039<34>
9085206331006704996354103035587307269268276250243623483439995863632200447114043721721246231894661012172898838146989368106908816366898873435685450929387221942994764859603011301790525914824234152281850138160890788522308542031883139950221039603467625873547729<256>
factorization results 素因数分解の結果
Resuming ECM residue saved by @c34605714376 with GMP-ECM 7.0.5-dev on Thu Oct 20 09:42:27 2022 
Input number is 61523178753297605719196309238126548559259478817451573936930290084225942942425699575176897711225316768157415871445465086559717328055341293262556794823468761665999631036692837445769361850951958150321904723632192532827512924282754419449910024422176862869111109306890856947595635804542104505431 (290 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2606506196
Step 1 took 0ms
Step 2 took 7767ms
********** Factor found in step 2: 6771797635825448909195211105136039
Found prime factor of 34 digits: 6771797635825448909195211105136039
Prime cofactor 9085206331006704996354103035587307269268276250243623483439995863632200447114043721721246231894661012172898838146989368106908816366898873435685450929387221942994764859603011301790525914824234152281850138160890788522308542031883139950221039603467625873547729 has 256 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61200Eric JeancolasOctober 5, 2022 13:00:00 UTC 2022 年 10 月 5 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61792 / 2023Dmitry DomanovOctober 20, 2022 08:46:53 UTC 2022 年 10 月 20 日 (木) 17 時 46 分 53 秒 (日本時間)