Table of contents 目次

7×10157-619

c126

name 名前Robert Backstrom
date 日付July 14, 2007 12:28:27 UTC 2007 年 7 月 14 日 (土) 21 時 28 分 27 秒 (日本時間)
composite number 合成数
194960461485038834727296645467655591808226295435757088586794057750949454544474226631511051570795485756565910575024330070570657<126>
prime factors 素因数
664828967518681180559161523946360773815099210144871733241<57>
293249047514706248599001187604405935292797388117330624974946437107177<69>
factorization results 素因数分解の結果
Number: n
N=194960461485038834727296645467655591808226295435757088586794057750949454544474226631511051570795485756565910575024330070570657
  ( 126 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=664828967518681180559161523946360773815099210144871733241 (pp57)
 r2=293249047514706248599001187604405935292797388117330624974946437107177 (pp69)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 43.28 hours.
Scaled time: 57.26 units (timescale=1.323).
Factorization parameters were as follows:
name: KA_7_156_1
n: 194960461485038834727296645467655591808226295435757088586794057750949454544474226631511051570795485756565910575024330070570657
skew: 0.61
deg: 5
c5: 700
c0: -61
m: 10000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1800001)
Primes: RFBsize:250150, AFBsize:249972, largePrimes:7243078 encountered
Relations: rels:6755304, finalFF:568264
Max relations in full relation-set: 48
Initial matrix: 500189 x 568264 with sparse part having weight 39667025.
Pruned matrix : 443449 x 446013 with weight 25263932.
Total sieving time: 37.86 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 5.05 hours.
Total square root time: 0.09 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 43.28 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

7×10158-619

c124

name 名前Jo Yeong Uk
date 日付July 13, 2007 02:21:10 UTC 2007 年 7 月 13 日 (金) 11 時 21 分 10 秒 (日本時間)
composite number 合成数
1085569033338840408013131654057437980958196731834798671260505438875015376737214784796927512253614762436894276184058334354521<124>
prime factors 素因数
19452134249342894566208338343315587<35>
55807194183615693406796837297244974493029600283991480615392292095590717453155106764298483<89>
factorization results 素因数分解の結果
GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 1085569033338840408013131654057437980958196731834798671260505438875015376737214784796927512253614762436894276184058334354521 (124 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=940631252
Step 1 took 16984ms
Step 2 took 14050ms
********** Factor found in step 2: 19452134249342894566208338343315587
Found probable prime factor of 35 digits: 19452134249342894566208338343315587
Probable prime cofactor 55807194183615693406796837297244974493029600283991480615392292095590717453155106764298483 has 89 digits
execution environment 実行環境
Pentium 4 2.4GHz

7×10159-619

c141

name 名前JMB
date 日付June 24, 2007 05:28:35 UTC 2007 年 6 月 24 日 (日) 14 時 28 分 35 秒 (日本時間)
composite number 合成数
425138149416509152936468469057432760716495875973743706845687489483085137998721704393181552396021328054747980751240505902199833839482493503911<141>
prime factors 素因数
28619057539265783684510425072387757<35>
composite cofactor 合成数の残り
14855071619085049328530992857412182242694733285669768452444236785568599716426578493792762350613756076351523<107>
factorization results 素因数分解の結果
Using B1=1000000, B2=839549779, polynomial Dickson(13), sigma=1703227947
Step 1 took 14317ms
Step 2 took 9624ms
********** Factor found in step 2: 28619057539265783684510425072387757
Found probable prime factor of 35 digits: 28619057539265783684510425072387757
Composite cofactor 14855071619085049328530992857412182242694733285669768452444236785568599716426578493792762350613756076351523 has 107 digits
software ソフトウェア
ECM-GMP (v6.0.1)
execution environment 実行環境
AMD-3800+, WinXP Pro

c107

name 名前Jo Yeong Uk
date 日付July 11, 2007 03:20:34 UTC 2007 年 7 月 11 日 (水) 12 時 20 分 34 秒 (日本時間)
composite number 合成数
14855071619085049328530992857412182242694733285669768452444236785568599716426578493792762350613756076351523<107>
prime factors 素因数
797403209935797539434823436791693<33>
18629310032851632076163322531678663673503016373642711951312754825678195311<74>
factorization results 素因数分解の結果
Number: 77771_159
N=14855071619085049328530992857412182242694733285669768452444236785568599716426578493792762350613756076351523
  ( 107 digits)
Divisors found:
 r1=797403209935797539434823436791693 (pp33)
 r2=18629310032851632076163322531678663673503016373642711951312754825678195311 (pp74)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 10.49 hours.
Scaled time: 22.36 units (timescale=2.132).
Factorization parameters were as follows:
name: 77771_159
n: 14855071619085049328530992857412182242694733285669768452444236785568599716426578493792762350613756076351523
skew: 17252.59
# norm 4.53e+14
c5: 24360
c4: 1552062034
c3: -12155455866301
c2: -501419086915678603
c1: 4107034064874536958069
c0: -110865863932083856105047
# alpha -5.86
Y1: 159151859009
Y0: -227528404968347614694
# Murphy_E 1.61e-09
# M 13177898755741697868442278760361905096607553508203604547219497232778306454584708936145593728319772417207638
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [900000, 1440001)
Primes: RFBsize:135072, AFBsize:135225, largePrimes:4558581 encountered
Relations: rels:4599743, finalFF:363106
Max relations in full relation-set: 28
Initial matrix: 270381 x 363106 with sparse part having weight 34524026.
Pruned matrix : 218438 x 219853 with weight 18421094.
Polynomial selection time: 0.54 hours.
Total sieving time: 9.58 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,49,49,2.6,2.6,60000
total time: 10.49 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Total of 4 processors activated (19246.12 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

7×10160-619

c157

name 名前Robert Backstrom
date 日付May 28, 2007 13:54:15 UTC 2007 年 5 月 28 日 (月) 22 時 54 分 15 秒 (日本時間)
composite number 合成数
7155269344781764284984156189307983236226106511295103751405499335582132270264744965756925278544413779004395379740365940917918838802003475416538893999795563733<157>
prime factors 素因数
133767292172935551579599522862258137018645605013343066361981<60>
53490425264281855146460077769801026058944569491640678743898434821351499978338309471009601998689593<98>
factorization results 素因数分解の結果
Number: n
N=7155269344781764284984156189307983236226106511295103751405499335582132270264744965756925278544413779004395379740365940917918838802003475416538893999795563733
  ( 157 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=133767292172935551579599522862258137018645605013343066361981 (pp60)
 r2=53490425264281855146460077769801026058944569491640678743898434821351499978338309471009601998689593 (pp98)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 34.44 hours.
Scaled time: 49.48 units (timescale=1.437).
Factorization parameters were as follows:
name: KA_7_159_1
n: 7155269344781764284984156189307983236226106511295103751405499335582132270264744965756925278544413779004395379740365940917918838802003475416538893999795563733
skew: 1.54
deg: 5
c5: 7
c0: -61
m: 100000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1600001)
Primes: RFBsize:250150, AFBsize:250502, largePrimes:7175624 encountered
Relations: rels:6724740, finalFF:585888
Max relations in full relation-set: 28
Initial matrix: 500717 x 585888 with sparse part having weight 36048352.
Pruned matrix : 426488 x 429055 with weight 21797147.
Total sieving time: 30.15 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 4.01 hours.
Total square root time: 0.07 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 34.44 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

7×10164-619

c120

name 名前Robert Backstrom
date 日付December 31, 2007 14:14:47 UTC 2007 年 12 月 31 日 (月) 23 時 14 分 47 秒 (日本時間)
composite number 合成数
309641589354989811963470298850145512354451335196881518873130549876079129725567319309001532377479378313912496584797126939<120>
prime factors 素因数
200987859740178940829671987628842189511<39>
1524315768672965057529391990531835488823<40>
1010681974438265260089808346426272470700763<43>
factorization results 素因数分解の結果
GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 309641589354989811963470298850145512354451335196881518873130549876079129725567319309001532377479378313912496584797126939 (120 digits)
Using B1=1932000, B2=2145643778, polynomial Dickson(6), sigma=2927999985
Step 1 took 23297ms
Step 2 took 13172ms
********** Factor found in step 2: 1524315768672965057529391990531835488823
Found probable prime factor of 40 digits: 1524315768672965057529391990531835488823
Composite cofactor 203134806920325175654885525513483664774580080235041609363980893235812401418296893 has 81 digits


Tue Jan 01 00:33:37 2008  
Tue Jan 01 00:33:37 2008  
Tue Jan 01 00:33:37 2008  Msieve v. 1.32
Tue Jan 01 00:33:37 2008  random seeds: 670f8060 b722816b
Tue Jan 01 00:33:37 2008  factoring 203134806920325175654885525513483664774580080235041609363980893235812401418296893 (81 digits)
Tue Jan 01 00:33:37 2008  searching for 15-digit factors
Tue Jan 01 00:33:38 2008  commencing quadratic sieve (80-digit input)
Tue Jan 01 00:33:38 2008  using multiplier of 5
Tue Jan 01 00:33:38 2008  using 64kb Opteron sieve core
Tue Jan 01 00:33:38 2008  sieve interval: 6 blocks of size 65536
Tue Jan 01 00:33:38 2008  processing polynomials in batches of 17
Tue Jan 01 00:33:38 2008  using a sieve bound of 1305691 (50294 primes)
Tue Jan 01 00:33:38 2008  using large prime bound of 129263409 (26 bits)
Tue Jan 01 00:33:38 2008  using trial factoring cutoff of 27 bits
Tue Jan 01 00:33:38 2008  polynomial 'A' values have 10 factors
Tue Jan 01 00:51:33 2008  50454 relations (25765 full + 24689 combined from 273397 partial), need 50390
Tue Jan 01 00:51:34 2008  begin with 299162 relations
Tue Jan 01 00:51:34 2008  reduce to 72049 relations in 2 passes
Tue Jan 01 00:51:34 2008  attempting to read 72049 relations
Tue Jan 01 00:51:35 2008  recovered 72049 relations
Tue Jan 01 00:51:35 2008  recovered 62785 polynomials
Tue Jan 01 00:51:35 2008  attempting to build 50454 cycles
Tue Jan 01 00:51:35 2008  found 50454 cycles in 1 passes
Tue Jan 01 00:51:35 2008  distribution of cycle lengths:
Tue Jan 01 00:51:35 2008     length 1 : 25765
Tue Jan 01 00:51:35 2008     length 2 : 24689
Tue Jan 01 00:51:35 2008  largest cycle: 2 relations
Tue Jan 01 00:51:35 2008  matrix is 50294 x 50454 with weight 1538986 (avg 30.50/col)
Tue Jan 01 00:51:35 2008  filtering completed in 4 passes
Tue Jan 01 00:51:35 2008  matrix is 42992 x 43056 with weight 1286275 (avg 29.87/col)
Tue Jan 01 00:51:35 2008  saving the first 48 matrix rows for later
Tue Jan 01 00:51:35 2008  matrix is 42944 x 43056 with weight 1002106 (avg 23.27/col)
Tue Jan 01 00:51:35 2008  matrix includes 64 packed rows
Tue Jan 01 00:51:35 2008  commencing Lanczos iteration
Tue Jan 01 00:52:18 2008  lanczos halted after 680 iterations (dim = 42920)
Tue Jan 01 00:52:18 2008  recovered 6 nontrivial dependencies
Tue Jan 01 00:52:18 2008  prp39 factor: 200987859740178940829671987628842189511
Tue Jan 01 00:52:18 2008  prp43 factor: 1010681974438265260089808346426272470700763
Tue Jan 01 00:52:18 2008  elapsed time 00:18:41

7×10165-619

c158

name 名前Robert Backstrom
date 日付October 19, 2007 07:22:20 UTC 2007 年 10 月 19 日 (金) 16 時 22 分 20 秒 (日本時間)
composite number 合成数
10660190680018543310314829284500778557127566665722021483978737750182625437355833389668633866274185248593522234318340586839263316436459011345255650994872117817<158>
prime factors 素因数
2761925283898534955675154755036172189749839<43>
31324884696363766525451707222706492435165921240617655521<56>
123214995686345230412614529840111656059539641564894743216343<60>
factorization results 素因数分解の結果
Number: n
N=10660190680018543310314829284500778557127566665722021483978737750182625437355833389668633866274185248593522234318340586839263316436459011345255650994872117817
  ( 158 digits)
SNFS difficulty: 165 digits.
Divisors found:

Fri Oct 19 11:07:36 2007  prp43 factor: 2761925283898534955675154755036172189749839
Fri Oct 19 11:07:36 2007  prp56 factor: 31324884696363766525451707222706492435165921240617655521
Fri Oct 19 11:07:36 2007  prp60 factor: 123214995686345230412614529840111656059539641564894743216343
Fri Oct 19 11:07:36 2007  elapsed time 01:47:49 (Msieve 1.28)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 68.73 hours.
Scaled time: 89.90 units (timescale=1.308).
Factorization parameters were as follows:
name: KA_7_164_1
n: 10660190680018543310314829284500778557127566665722021483978737750182625437355833389668633866274185248593522234318340586839263316436459011345255650994872117817
skew: 1.54
deg: 5
c5: 7
c0: -61
m: 1000000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2700000)
Primes: RFBsize:216816, AFBsize:217077, largePrimes:7393191 encountered
Relations: rels:6842637, finalFF:458263
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 68.48 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 68.73 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

7×10167-619

c141

name 名前Robert Backstrom
date 日付July 14, 2008 05:54:45 UTC 2008 年 7 月 14 日 (月) 14 時 54 分 45 秒 (日本時間)
composite number 合成数
186828984860120255606519839560874657226518689870717896574431922306201449144447043355099889582452640081134312356077616468363781250379975961703<141>
prime factors 素因数
823035057767144134239967477480765928602729472785254183529<57>
227000032497982054005520830210122515119411890431796815636671279518904326397745213007<84>
factorization results 素因数分解の結果
Number: n
N=186828984860120255606519839560874657226518689870717896574431922306201449144447043355099889582452640081134312356077616468363781250379975961703
  ( 141 digits)
SNFS difficulty: 167 digits.
Divisors found:

Mon Jul 14 15:50:30 2008  prp57 factor: 823035057767144134239967477480765928602729472785254183529
Mon Jul 14 15:50:30 2008  prp84 factor: 227000032497982054005520830210122515119411890431796815636671279518904326397745213007
Mon Jul 14 15:50:30 2008  elapsed time 01:51:25 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 69.67 hours.
Scaled time: 126.80 units (timescale=1.820).
Factorization parameters were as follows:
name: KA_7_166_1
n: 186828984860120255606519839560874657226518689870717896574431922306201449144447043355099889582452640081134312356077616468363781250379975961703
skew: 0.61
deg: 5
c5: 700
c0: -61
m: 1000000000000000000000000000000000
type: snfs
rlim: 5500000
alim: 5500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 4300001)
Primes: RFBsize:380800, AFBsize:380053, largePrimes:8163761 encountered
Relations: rels:7710086, finalFF:765959
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 69.35 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,5500000,5500000,28,28,48,48,2.5,2.5,100000
total time: 69.67 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

7×10168-619

c163

name 名前Robert Backstrom
date 日付March 29, 2008 02:29:07 UTC 2008 年 3 月 29 日 (土) 11 時 29 分 7 秒 (日本時間)
composite number 合成数
4702603966176185072994490563553341300888053168984042721141631010851594552234845354868572296153874576177817548371320296371537959755115257464208145313149757110505147<163>
prime factors 素因数
9004468253267221996176999390369665257953454115627<49>
522252267863776517383648685895265872874245070718524906770519125645126330038946823665531693031823946346738290819761<114>
factorization results 素因数分解の結果
Number: n
N=4702603966176185072994490563553341300888053168984042721141631010851594552234845354868572296153874576177817548371320296371537959755115257464208145313149757110505147
  ( 163 digits)
SNFS difficulty: 168 digits.
Divisors found:

Sat Mar 29 12:07:22 2008  prp49 factor: 9004468253267221996176999390369665257953454115627
Sat Mar 29 12:07:22 2008  prp114 factor: 522252267863776517383648685895265872874245070718524906770519125645126330038946823665531693031823946346738290819761
Sat Mar 29 12:07:22 2008  elapsed time 01:18:21 (Msieve 1.33)

Version: GGNFS-0.77.1-20050930-k8
Total time: 53.48 hours.
Scaled time: 44.81 units (timescale=0.838).
Factorization parameters were as follows:
name: KA_7_167_1
n: 4702603966176185072994490563553341300888053168984042721141631010851594552234845354868572296153874576177817548371320296371537959755115257464208145313149757110505147
type: snfs
deg: 5
c5: 7000
c0: -61
skew: 0.39
m: 1000000000000000000000000000000000
rlim: 3500000
alim: 3500000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 5900423)
Primes: RFBsize:250150, AFBsize:250007, largePrimes:5947814 encountered
Relations: rels:5883970, finalFF:552579
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 53.23 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,48,48,2.5,2.5,100000
total time: 53.48 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

7×10169-619

c160

name 名前Wataru Sakai
date 日付June 14, 2008 12:34:05 UTC 2008 年 6 月 14 日 (土) 21 時 34 分 5 秒 (日本時間)
composite number 合成数
8632416125912358472599711150945987261239466130360599340201719910084255418766178636140990039845884947093500679833045032154108060156156409675885963645590464968677<160>
prime factors 素因数
2283299320810328736384747634415821<34>
7182607341442258629005707341782603917<37>
526365474032812165742184427823758439905684973552785490890082763434216262625675882189775261<90>
factorization results 素因数分解の結果
Number: 77771_169
N=8632416125912358472599711150945987261239466130360599340201719910084255418766178636140990039845884947093500679833045032154108060156156409675885963645590464968677
  ( 160 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=2283299320810328736384747634415821 (pp34)
 r2=7182607341442258629005707341782603917 (pp37)
 r3=526365474032812165742184427823758439905684973552785490890082763434216262625675882189775261 (pp90)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 169.71 hours.
Scaled time: 340.62 units (timescale=2.007).
Factorization parameters were as follows:
n: 8632416125912358472599711150945987261239466130360599340201719910084255418766178636140990039845884947093500679833045032154108060156156409675885963645590464968677
m: 10000000000000000000000000000000000
c5: 7
c0: -610
skew: 2.44
type: snfsFactor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3000000, 9400001)
Primes: RFBsize:412849, AFBsize:413557, largePrimes:6523136 encountered
Relations: rels:6974496, finalFF:1087069
Max relations in full relation-set: 32
Initial matrix: 826471 x 1087069 with sparse part having weight 90460735.
Pruned matrix : 620311 x 624507 with weight 73420826.
Total sieving time: 165.44 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 3.97 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000
total time: 169.71 hours.

7×10170-619

c138

name 名前Jo Yeong Uk
date 日付September 8, 2009 22:54:42 UTC 2009 年 9 月 9 日 (水) 7 時 54 分 42 秒 (日本時間)
composite number 合成数
262026336141488722740887471511504618353946493011121522733691596871647376350077584500144346575937690543468618961950015644602813919747929657<138>
prime factors 素因数
102997828312150381163336333220697978781017456072607<51>
2543998649635394006349204860850381213757448610270145010190730784237897849483369671738151<88>
factorization results 素因数分解の結果
Number: 77771_170
N=262026336141488722740887471511504618353946493011121522733691596871647376350077584500144346575937690543468618961950015644602813919747929657
  ( 138 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=102997828312150381163336333220697978781017456072607
 r2=2543998649635394006349204860850381213757448610270145010190730784237897849483369671738151
Version: 
Total time: 31.20 hours.
Scaled time: 74.57 units (timescale=2.390).
Factorization parameters were as follows:
n: 262026336141488722740887471511504618353946493011121522733691596871647376350077584500144346575937690543468618961950015644602813919747929657
m: 10000000000000000000000000000000000
deg: 5
c5: 7
c0: -61
skew: 1.54
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 5100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10872906
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 911180 x 911428
Total sieving time: 27.40 hours.
Total relation processing time: 1.24 hours.
Matrix solve time: 1.88 hours.
Time per square root: 0.68 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 31.20 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673799)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672387)
Calibrating delay using timer specific routine.. 5344.57 BogoMIPS (lpj=2672286)
Calibrating delay using timer specific routine.. 5237.81 BogoMIPS (lpj=2618908)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Ignacio SantosJanuary 18, 2009 19:54:45 UTC 2009 年 1 月 19 日 (月) 4 時 54 分 45 秒 (日本時間)
255e4204Ignacio SantosJanuary 18, 2009 19:58:54 UTC 2009 年 1 月 19 日 (月) 4 時 58 分 54 秒 (日本時間)
3025e4403Ignacio SantosJanuary 18, 2009 20:28:39 UTC 2009 年 1 月 19 日 (月) 5 時 28 分 39 秒 (日本時間)
351e6828Jo Yeong UkJuly 3, 2009 05:25:50 UTC 2009 年 7 月 3 日 (金) 14 時 25 分 50 秒 (日本時間)

7×10173-619

c156

name 名前Wataru Sakai
date 日付June 22, 2008 04:12:46 UTC 2008 年 6 月 22 日 (日) 13 時 12 分 46 秒 (日本時間)
composite number 合成数
794879823783000459297146595802866396258287289283368570900870245484647858993845972343965939158115233217484416191400328069663743260194300173826749173229706743<156>
prime factors 素因数
4697092831087200551529024233831603689378002454075748867575435175236949613467<76>
169228042188601079552332909893272905914334638988209627060854725312063782925308629<81>
factorization results 素因数分解の結果
Number: 77771_173
N=794879823783000459297146595802866396258287289283368570900870245484647858993845972343965939158115233217484416191400328069663743260194300173826749173229706743
  ( 156 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=4697092831087200551529024233831603689378002454075748867575435175236949613467 (pp76)
 r2=169228042188601079552332909893272905914334638988209627060854725312063782925308629 (pp81)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 278.56 hours.
Scaled time: 497.22 units (timescale=1.785).
Factorization parameters were as follows:
n: 794879823783000459297146595802866396258287289283368570900870245484647858993845972343965939158115233217484416191400328069663743260194300173826749173229706743
m: 10000000000000000000000000000000000
c5: 7000
c0: -61
skew: 0.39
type: snfs
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 13600001)
Primes: RFBsize:501962, AFBsize:502027, largePrimes:6884572 encountered
Relations: rels:7500187, finalFF:1264391
Max relations in full relation-set: 32
Initial matrix: 1004056 x 1264391 with sparse part having weight 98282831.
Pruned matrix : 783753 x 788837 with weight 77243787.
Total sieving time: 270.20 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 7.94 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 278.56 hours.
 --------- CPU info (if available) ----------

7×10174-619

c174

name 名前Robert Backstrom
date 日付July 9, 2007 00:54:32 UTC 2007 年 7 月 9 日 (月) 9 時 54 分 32 秒 (日本時間)
composite number 合成数
259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259257<174>
prime factors 素因数
592183130436863192470465165361108333811673611186266348002248596759<66>
437802507254807238882928297138447646164159872834322448723319030478316704747682896028097705022390728332298223<108>
factorization results 素因数分解の結果
Number: n
N=259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259257
  ( 174 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=592183130436863192470465165361108333811673611186266348002248596759 (pp66)
 r2=437802507254807238882928297138447646164159872834322448723319030478316704747682896028097705022390728332298223 (pp108)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 333.18 hours.
Scaled time: 397.82 units (timescale=1.194).
Factorization parameters were as follows:
name: KA_7_173_1
n: 259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259257
type: snfs
skew: 2.44
deg: 5
c5: 7
c0: -610
m: 100000000000000000000000000000000000
rlim: 5500000
alim: 5500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 11600001)
Primes: RFBsize:380800, AFBsize:381368, largePrimes:8890149 encountered
Relations: rels:8648810, finalFF:860116
Max relations in full relation-set: 28
Initial matrix: 762233 x 860116 with sparse part having weight 86306908.
Pruned matrix : 693173 x 697048 with weight 70123858.
Total sieving time: 307.41 hours.
Total relation processing time: 0.72 hours.
Matrix solve time: 24.26 hours.
Total square root time: 0.79 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5500000,5500000,28,28,48,48,2.6,2.6,100000
total time: 333.18 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

7×10178-619

c154

name 名前Erik Branger
date 日付December 20, 2009 06:02:33 UTC 2009 年 12 月 20 日 (日) 15 時 2 分 33 秒 (日本時間)
composite number 合成数
1827865917091083679227195736806847949179150862459087072361259147703090009125078037186612403122755531495802543275504447567473492126110741317289394220774001<154>
prime factors 素因数
186853769745984246704156867807<30>
9782333637560272544478678024910065237123917040258780920153923456086893930036713667499114063668907467528111774118161057376943<124>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 1827865917091083679227195736806847949179150862459087072361259147703090009125078037186612403122755531495802543275504447567473492126110741317289394220774001 (154 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=790654530
Step 1 took 48033ms
Step 2 took 16552ms
********** Factor found in step 2: 186853769745984246704156867807
Found probable prime factor of 30 digits: 186853769745984246704156867807
Probable prime cofactor 9782333637560272544478678024910065237123917040258780920153923456086893930036713667499114063668907467528111774118161057376943 has 124 digits
software ソフトウェア
GMP-ECM

7×10179-619

c146

name 名前Erik Branger
date 日付March 7, 2010 11:30:28 UTC 2010 年 3 月 7 日 (日) 20 時 30 分 28 秒 (日本時間)
composite number 合成数
47351778283758613155818736369258591901856732092913695684537510158165743067246370111662666476693553481155635579603938967640227522990872619485006697<146>
prime factors 素因数
1984601192472105552778170254945237218375511855542221080774688390243973<70>
23859593788097637321899937713296245689013767073791241136430285091575064944789<77>
factorization results 素因数分解の結果
Number: 77771_179
N = 47351778283758613155818736369258591901856732092913695684537510158165743067246370111662666476693553481155635579603938967640227522990872619485006697 (146 digits)
SNFS difficulty: 180 digits.
Divisors found:
r1=1984601192472105552778170254945237218375511855542221080774688390243973 (pp70)
r2=23859593788097637321899937713296245689013767073791241136430285091575064944789 (pp77)
Version: Msieve v. 1.44
Total time: 255.14 hours.
Factorization parameters were as follows:
n: 47351778283758613155818736369258591901856732092913695684537510158165743067246370111662666476693553481155635579603938967640227522990872619485006697
m: 100000000000000000000000000000000000
deg: 5
c5: 70000
c0: -61
skew: 0.24
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [3500000, 10900000)
Relations: 20018816
Relations in full relation-set: 2356904 relations
Pruned matrix : 1464027 x 1464252
Polynomial selection time: 0.00 hours.
Total sieving time: 246.90 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 6.93 hours.
time per square root: 0.97 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62350500Erik BrangerDecember 20, 2009 15:38:01 UTC 2009 年 12 月 21 日 (月) 0 時 38 分 1 秒 (日本時間)
600Erik BrangerFebruary 14, 2010 13:48:44 UTC 2010 年 2 月 14 日 (日) 22 時 48 分 44 秒 (日本時間)
1000Erik BrangerFebruary 16, 2010 08:08:19 UTC 2010 年 2 月 16 日 (火) 17 時 8 分 19 秒 (日本時間)
250Erik BrangerFebruary 18, 2010 23:05:47 UTC 2010 年 2 月 19 日 (金) 8 時 5 分 47 秒 (日本時間)

7×10181-619

c155

name 名前Erik Branger
date 日付December 20, 2009 15:38:45 UTC 2009 年 12 月 21 日 (月) 0 時 38 分 45 秒 (日本時間)
composite number 合成数
29987149421107919103277239628662886957675353245492249296599091718376560326703805877339985194027146015977494170980827460525338426184127596850743513190853159<155>
prime factors 素因数
268433173310371919110756037126438297<36>
111711786778438585359052002351568932688057440788273618433487598683804565986777722541166941624891570654575541803729075647<120>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 29987149421107919103277239628662886957675353245492249296599091718376560326703805877339985194027146015977494170980827460525338426184127596850743513190853159 (155 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3585440498
Step 1 took 86331ms
Step 2 took 16988ms
********** Factor found in step 2: 268433173310371919110756037126438297
Found probable prime factor of 36 digits: 268433173310371919110756037126438297
Probable prime cofactor 111711786778438585359052002351568932688057440788273618433487598683804565986777722541166941624891570654575541803729075647 has 120 digits
software ソフトウェア
GMP-ECM

7×10182-619

c160

name 名前Erik Branger
date 日付December 21, 2009 06:22:01 UTC 2009 年 12 月 21 日 (月) 15 時 22 分 1 秒 (日本時間)
composite number 合成数
1632917269353564083516157160874442162362313033488821728473083869495445441341139923036407878727107841361742487465761237276409809989350912818623879601262132645017<160>
prime factors 素因数
196795518289527012783177637059304087<36>
composite cofactor 合成数の残り
8297532807384384619591502124535182691958946812580208156234462702919765706096384805864725674578023949954423362371961815181391<124>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 1632917269353564083516157160874442162362313033488821728473083869495445441341139923036407878727107841361742487465761237276409809989350912818623879601262132645017 (160 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=866390266
Step 1 took 54928ms
Step 2 took 17971ms
********** Factor found in step 2: 196795518289527012783177637059304087
Found probable prime factor of 36 digits: 196795518289527012783177637059304087
Composite cofactor 8297532807384384619591502124535182691958946812580208156234462702919765706096384805864725674578023949954423362371961815181391 has 124 digits
software ソフトウェア
GMP-ECM

c124

name 名前Markus Tervooren
date 日付December 25, 2009 15:25:45 UTC 2009 年 12 月 26 日 (土) 0 時 25 分 45 秒 (日本時間)
composite number 合成数
8297532807384384619591502124535182691958946812580208156234462702919765706096384805864725674578023949954423362371961815181391<124>
prime factors 素因数
1822983903915540903242968668361589445511954993<46>
4551621541782307730013990392915456127532722433651555998138128258792296417129087<79>
factorization results 素因数分解の結果
N=8297532807384384619591502124535182691958946812580208156234462702919765706096384805864725674578023949954423362371961815181391
  ( 124 digits)
Divisors found:
 r1=1822983903915540903242968668361589445511954993 (pp46)
 r2=4551621541782307730013990392915456127532722433651555998138128258792296417129087 (pp79)
Version: Msieve-1.39
Total time: 42.29 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
# Murphy_E = 1.855e-10, selected by Markus Tervooren
n: 8297532807384384619591502124535182691958946812580208156234462702919765706096384805864725674578023949954423362371961815181391
Y0: -1225653561529813741731415
Y1: 22064329640861
c0: -26207728649600251358721533684
c1: -77212770881249363965820
c2: 41665440464405440487
c3: 476421430964662
c4: -4195615430
c5: 3000
skew: 102794.61
type: gnfs
# selected mechanically
rlim: 6700000
alim: 6700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsite: 500000
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [3350000, 1910001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 737257 x 737496
Total sieving time: 40.76 hours.
Total relation processing time: 0.73 hours.
Matrix solve time: 0.73 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,123,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6700000,6700000,28,28,56,56,2.6,2.6,180000
total time: 42.29 hours.
 --------- CPU info (if available) ----------
[    0.144009] CPU0: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.236014] CPU1: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.332940] CPU2: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.432541] CPU3: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.004000] Memory: 8197988k/10485760k available (2226k kernel code, 189848k reserved, 1082k data, 392k init)
[    0.083990] Calibrating delay using timer specific routine.. 5337.16 BogoMIPS (lpj=10674326)
[    0.156009] Calibrating delay using timer specific routine.. 5333.34 BogoMIPS (lpj=10666681)
[    0.256016] Calibrating delay using timer specific routine.. 5333.37 BogoMIPS (lpj=10666743)
[    0.352020] Calibrating delay using timer specific routine.. 5333.36 BogoMIPS (lpj=10666726)
[    0.440025] Total of 4 processors activated (21337.23 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e60--
403e6500 / 2350Erik BrangerDecember 21, 2009 06:21:02 UTC 2009 年 12 月 21 日 (月) 15 時 21 分 2 秒 (日本時間)

7×10184-619

c142

name 名前Serge Batalov
date 日付August 8, 2008 02:15:57 UTC 2008 年 8 月 8 日 (金) 11 時 15 分 57 秒 (日本時間)
composite number 合成数
9165251059186568453927565803739673747368254944901221181368550141442986915819666544647075353752206899005385771120697964895157818297332263898523<142>
prime factors 素因数
129094206503327431146389777618501<33>
70996610207680637642204608399521543078046698423883298589248821326163661299941720117124087158672108046378173023<110>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=53631576
Step 1 took 5468ms
Step 2 took 3344ms
********** Factor found in step 2: 129094206503327431146389777618501
Found probable prime factor of 33 digits: 129094206503327431146389777618501
Probable prime cofactor 70996610207680637642204608399521543078046698423883298589248821326163661299941720117124087158672108046378173023 has 110 digits
software ソフトウェア
GMP-ECM 6.2.1

7×10185-619

c122

name 名前JMB
date 日付January 25, 2007 20:49:35 UTC 2007 年 1 月 26 日 (金) 5 時 49 分 35 秒 (日本時間)
composite number 合成数
13054284587590594720336907148013093495861272612868775788123597877993215937113257983843987189624090165738879140772166652391<122>
prime factors 素因数
148620272450318305620892247<27>
composite cofactor 合成数の残り
87836500178362012339391534087557870391705073829131196795608369383843280519245566419346506803953<95>
factorization results 素因数分解の結果
   Factor: 148620272450318305620892247
   Factor Type: probable
   Factor Length: 27
   Co-Factor: 87836500178362012339391534087557870391705073829131196795608369383843280519245566419346506803953
   Co-Factor Type: Composite
   Co-Factor Length: 95
   B1: 250000
   Sigma: 1953132358

c95

name 名前Shaopu Lin
date 日付January 27, 2007 00:28:24 UTC 2007 年 1 月 27 日 (土) 9 時 28 分 24 秒 (日本時間)
composite number 合成数
87836500178362012339391534087557870391705073829131196795608369383843280519245566419346506803953<95>
prime factors 素因数
224862363761607190215772027417022972537690791<45>
390623396058772295453140324659480039189781576841383<51>
factorization results 素因数分解の結果
Sat Jan 27 01:39:07 2007  
Sat Jan 27 01:39:07 2007  
Sat Jan 27 01:39:07 2007  Msieve v. 1.16
Sat Jan 27 01:39:07 2007  random seeds: 423f607f 2ef68dad
Sat Jan 27 01:39:07 2007  factoring 87836500178362012339391534087557870391705073829131196795608369383843280519245566419346506803953 (95 digits)
Sat Jan 27 01:39:07 2007  using multiplier of 33
Sat Jan 27 01:39:07 2007  sieve interval: 9 blocks of size 65536
Sat Jan 27 01:39:07 2007  processing polynomials in batches of 6
Sat Jan 27 01:39:07 2007  using a sieve bound of 2190817 (81176 primes)
Sat Jan 27 01:39:07 2007  using large prime bound of 328622550 (28 bits)
Sat Jan 27 01:39:07 2007  using double large prime bound of 2138233886692800 (43-51 bits)
Sat Jan 27 01:39:07 2007  using trial factoring cutoff of 55 bits
Sat Jan 27 01:39:07 2007  polynomial 'A' values have 12 factors
Sat Jan 27 08:17:49 2007  81535 relations (20590 full + 60945 combined from 1191119 partial), need 81272
Sat Jan 27 08:17:51 2007  begin with 1211709 relations
Sat Jan 27 08:17:53 2007  reduce to 208204 relations in 10 passes
Sat Jan 27 08:17:53 2007  attempting to read 208204 relations
Sat Jan 27 08:17:56 2007  recovered 208204 relations
Sat Jan 27 08:17:56 2007  recovered 193380 polynomials
Sat Jan 27 08:17:57 2007  attempting to build 81535 cycles
Sat Jan 27 08:17:57 2007  found 81535 cycles in 6 passes
Sat Jan 27 08:17:57 2007  distribution of cycle lengths:
Sat Jan 27 08:17:57 2007     length 1 : 20590
Sat Jan 27 08:17:57 2007     length 2 : 14946
Sat Jan 27 08:17:57 2007     length 3 : 14053
Sat Jan 27 08:17:57 2007     length 4 : 10885
Sat Jan 27 08:17:57 2007     length 5 : 8137
Sat Jan 27 08:17:57 2007     length 6 : 5231
Sat Jan 27 08:17:57 2007     length 7 : 3252
Sat Jan 27 08:17:57 2007     length 9+: 4441
Sat Jan 27 08:17:57 2007  largest cycle: 18 relations
Sat Jan 27 08:17:58 2007  matrix is 81176 x 81535 with weight 5530736 (avg 67.83/col)
Sat Jan 27 08:17:59 2007  filtering completed in 3 passes
Sat Jan 27 08:17:59 2007  matrix is 79614 x 79678 with weight 5312625 (avg 66.68/col)
Sat Jan 27 08:18:00 2007  saving the first 48 matrix rows for later
Sat Jan 27 08:18:00 2007  matrix is 79566 x 79678 with weight 4464667 (avg 56.03/col)
Sat Jan 27 08:18:00 2007  matrix includes 32 packed rows
Sat Jan 27 08:21:49 2007  lanczos halted after 1260 iterations
Sat Jan 27 08:21:49 2007  recovered 17 nontrivial dependencies
Sat Jan 27 08:21:50 2007  prp45 factor: 224862363761607190215772027417022972537690791
Sat Jan 27 08:21:50 2007  prp51 factor: 390623396058772295453140324659480039189781576841383
Sat Jan 27 08:21:50 2007  elapsed time 06:42:43
software ソフトウェア
Msieve v. 1.16

7×10187-619

c151

name 名前Erik Branger
date 日付April 29, 2010 21:51:22 UTC 2010 年 4 月 30 日 (金) 6 時 51 分 22 秒 (日本時間)
composite number 合成数
3667825658692547329523038358192411728927607986743464513892507691676701658191859102552257007719803682869336958360860556555671524934191227106607060826793<151>
prime factors 素因数
110841851546646384021870354919003694654974751<45>
322106348594135238055892625441407973411619231<45>
102731972739847532149167638621323906386386584552823892387029353<63>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 3667825658692547329523038358192411728927607986743464513892507691676701658191859102552257007719803682869336958360860556555671524934191227106607060826793 (151 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1759279129
Step 1 took 216781ms
Step 2 took 77266ms
********** Factor found in step 2: 322106348594135238055892625441407973411619231
Found probable prime factor of 45 digits: 322106348594135238055892625441407973411619231
Composite cofactor 11387002071524303342866760040102746057825977321157410628067021127907388937331147200865690356475328110866103 has 107 digits

Number: 77771_187
N = 11387002071524303342866760040102746057825977321157410628067021127907388937331147200865690356475328110866103 (107 digits)
Divisors found:
r1=110841851546646384021870354919003694654974751 (pp45)
r2=102731972739847532149167638621323906386386584552823892387029353 (pp63)
Version: Msieve v. 1.45
Total time: 14.67 hours.
Factorization parameters were as follows:
n: 11387002071524303342866760040102746057825977321157410628067021127907388937331147200865690356475328110866103
Y0: -354289585937474483363
Y1: 78035162023
c0: -120636908821402040743156152
c1: 10920211402637851042498
c2: 468281666838855701
c3: -16634956463730
c4: -270870716
c5: 2040
skew: 44339.60  
type: gnfs
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [1250000, 2300000)
Relations: 5191198
Relations in full relation-set: 424630 relations
Pruned matrix : 263920 x 264146
Polynomial selection time: 0.67 hours.
Total sieving time: 13.59 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.20 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: gnfs,106,5,59,2000,0.0006,0.25,200,15,15000,2000,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 14.67 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GMP-ECM, GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e3150Lionel DebrouxOctober 18, 2009 14:26:48 UTC 2009 年 10 月 18 日 (日) 23 時 26 分 48 秒 (日本時間)
255e4250Lionel DebrouxOctober 18, 2009 14:29:34 UTC 2009 年 10 月 18 日 (日) 23 時 29 分 34 秒 (日本時間)
3025e40--
351e60--
403e62350500Erik BrangerDecember 21, 2009 06:20:39 UTC 2009 年 12 月 21 日 (月) 15 時 20 分 39 秒 (日本時間)
1450Erik BrangerFebruary 26, 2010 14:23:16 UTC 2010 年 2 月 26 日 (金) 23 時 23 分 16 秒 (日本時間)
400Erik BrangerFebruary 27, 2010 10:37:45 UTC 2010 年 2 月 27 日 (土) 19 時 37 分 45 秒 (日本時間)
4511e6500 / 3961Erik BrangerMarch 25, 2010 16:33:46 UTC 2010 年 3 月 26 日 (金) 1 時 33 分 46 秒 (日本時間)

7×10189-619

c174

name 名前Serge Batalov
date 日付September 18, 2008 16:13:01 UTC 2008 年 9 月 19 日 (金) 1 時 13 分 1 秒 (日本時間)
composite number 合成数
564245917590485391538971661373559676686113466643117059313401430391549928682135547887266500571534588060153774985727491469522481819209063179517296237298862502251025936795654079<174>
prime factors 素因数
6586408395714765506229052421915313517957<40>
composite cofactor 合成数の残り
85668225182877184644786666541917164742621853107779269580528230063969136871950475692301384534838463105695144272049997293525583827839347<134>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=272832663
Step 1 took 28102ms
Step 2 took 18633ms
********** Factor found in step 2: 6586408395714765506229052421915313517957
Found probable prime factor of 40 digits: 6586408395714765506229052421915313517957
Composite cofactor 85668225182877184644786666541917164742621853107779269580528230063969136871950475692301384534838463105695144272049997293525583827839347 has 134 digits
software ソフトウェア
GMP-ECM 6.2.1

c134

name 名前Erik Branger
date 日付December 21, 2009 14:03:23 UTC 2009 年 12 月 21 日 (月) 23 時 3 分 23 秒 (日本時間)
composite number 合成数
85668225182877184644786666541917164742621853107779269580528230063969136871950475692301384534838463105695144272049997293525583827839347<134>
prime factors 素因数
382640466874904910800421145827775571<36>
223886997322957868294489493212024580830634045157977060128729169814295853294679370899387519951925857<99>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 85668225182877184644786666541917164742621853107779269580528230063969136871950475692301384534838463105695144272049997293525583827839347 (134 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3346361410
Step 1 took 39203ms
Step 2 took 14056ms
********** Factor found in step 2: 382640466874904910800421145827775571
Found probable prime factor of 36 digits: 382640466874904910800421145827775571
Probable prime cofactor 223886997322957868294489493212024580830634045157977060128729169814295853294679370899387519951925857 has 99 digits
software ソフトウェア
GMP-ECM

7×10190-619

c188

name 名前matsui
date 日付October 31, 2008 01:45:46 UTC 2008 年 10 月 31 日 (金) 10 時 45 分 46 秒 (日本時間)
composite number 合成数
14702793530770846460827557235874816215080865364419239655534551564797311489182944759504305818105440033606385213190506196177273681999579920184835118672547784078975005250997689561016593152699<188>
prime factors 素因数
2688905664266052337484729565917<31>
composite cofactor 合成数の残り
5467946951863048473626887020863645023766677773365149383086724143142152008359250701849934634922233312157204345407319371930536542980234660828386982636456713847<157>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]

14702793530770846460827557235874816215080865364419239655534551564797311489182944759504305818105440033606385213190506196177273681999579920184835118672547784078975005250997689561016593152699
=2688905664266052337484729565917* 5467946951863048473626887020863645023766677773365149383086724143142152008359250701849934634922233312157204345407319371930536542980234660828386982636456713847

c157

name 名前Erik Branger
date 日付February 25, 2010 12:44:24 UTC 2010 年 2 月 25 日 (木) 21 時 44 分 24 秒 (日本時間)
composite number 合成数
5467946951863048473626887020863645023766677773365149383086724143142152008359250701849934634922233312157204345407319371930536542980234660828386982636456713847<157>
prime factors 素因数
9858384273351370614968645054843360328019<40>
554649403010561766504095582751298749053788397412071588857060264375985163210332945827673607668172240781821057365118413<117>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 5467946951863048473626887020863645023766677773365149383086724143142152008359250701849934634922233312157204345407319371930536542980234660828386982636456713847 (157 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2043331176
Step 1 took 92680ms
Step 2 took 18362ms
********** Factor found in step 2: 9858384273351370614968645054843360328019
Found probable prime factor of 40 digits: 9858384273351370614968645054843360328019
Probable prime cofactor 554649403010561766504095582751298749053788397412071588857060264375985163210332945827673607668172240781821057365118413 has 117 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
3025e40--
351e6500 / 904Erik BrangerDecember 21, 2009 16:57:37 UTC 2009 年 12 月 22 日 (火) 1 時 57 分 37 秒 (日本時間)

7×10191-619

c180

name 名前Erik Branger
date 日付March 21, 2010 14:06:35 UTC 2010 年 3 月 21 日 (日) 23 時 6 分 35 秒 (日本時間)
composite number 合成数
636643508966946669102911873995273922169261433135057602130682760828520652017961093700206301135040254580951359703459296680189681644222805377386457859011071040598309118302744757947797<180>
prime factors 素因数
9804169746015577368623371675982625336556606524343779214054489864927915811284741080509<85>
64935994118796149328277683940333985544847653207475992517035238843806739677516609403444309199033<95>
factorization results 素因数分解の結果
Number: 77771_191
N = 636643508966946669102911873995273922169261433135057602130682760828520652017961093700206301135040254580951359703459296680189681644222805377386457859011071040598309118302744757947797 (180 digits)
SNFS difficulty: 192 digits.
Divisors found:
r1=9804169746015577368623371675982625336556606524343779214054489864927915811284741080509 (pp85)
r2=64935994118796149328277683940333985544847653207475992517035238843806739677516609403444309199033 (pp95)
Version: Msieve v. 1.44
Total time: 615.44 hours.
Factorization parameters were as follows:
n: 636643508966946669102911873995273922169261433135057602130682760828520652017961093700206301135040254580951359703459296680189681644222805377386457859011071040598309118302744757947797
m: 100000000000000000000000000000000000000
deg: 5
c5: 70
c0: -61
skew: 0.97
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [5500000, 11400000)
Relations: 22171746
Relations in full relation-set: 3803284 relations
Pruned matrix : 2294437 x 2294662
Polynomial selection time: 0.00 hours.
Total sieving time: 592.11 hours.
Total relation processing time: 0.83 hours.
Matrix solve time: 19.00 hours.
time per square root: 3.50 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62350500Erik BrangerDecember 22, 2009 11:41:40 UTC 2009 年 12 月 22 日 (火) 20 時 41 分 40 秒 (日本時間)
750Erik BrangerFebruary 26, 2010 14:22:08 UTC 2010 年 2 月 26 日 (金) 23 時 22 分 8 秒 (日本時間)
400Erik BrangerFebruary 27, 2010 11:49:56 UTC 2010 年 2 月 27 日 (土) 20 時 49 分 56 秒 (日本時間)
700Erik BrangerMarch 1, 2010 06:37:36 UTC 2010 年 3 月 1 日 (月) 15 時 37 分 36 秒 (日本時間)

7×10192-619

c147

name 名前Serge Batalov
date 日付July 12, 2008 00:15:12 UTC 2008 年 7 月 12 日 (土) 9 時 15 分 12 秒 (日本時間)
composite number 合成数
331901850775852454095260778159312207182388523084245895117515855095034943432772967702830812108765030869898993232108805948944352117195753793715422029<147>
prime factors 素因数
2736444955335091738175869222951<31>
121289430700501471603498088503911465819708333729664041167291526413944869019180851149006200154305108790796966792303979<117>
factorization results 素因数分解の結果
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=443501588
Step 1 took 6592ms
Step 2 took 5563ms
********** Factor found in step 2: 2736444955335091738175869222951
Found probable prime factor of 31 digits: 2736444955335091738175869222951
Probable prime cofactor 121289430700501471603498088503911465819708333729664041167291526413944869019180851149006200154305108790796966792303979 has 117 digits
software ソフトウェア
GMP-ECM 6.2.1

7×10193-619

c159

name 名前Erik Branger
date 日付May 27, 2010 18:50:36 UTC 2010 年 5 月 28 日 (金) 3 時 50 分 36 秒 (日本時間)
composite number 合成数
487085817927162574097929203020967480913257966012607032171285902130888233977806140928498766629466452661783850110422586412127688965280563400139665740617180566477<159>
prime factors 素因数
2246508082436551957070309765634386946108440906621<49>
216819081015222352514353357874738868734772022441717435874702982842272944428806355881466444324045048201447291537<111>
factorization results 素因数分解の結果
GMP-ECM 6.3-rc3 [configured with GMP 5.0.1] [ECM]
Input number is 487085817927162574097929203020967480913257966012607032171285902130888233977806140928498766629466452661783850110422586412127688965280563400139665740617180566477 (159 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1246590331
Step 1 took 313921ms
Step 2 took 70497ms
********** Factor found in step 2: 2246508082436551957070309765634386946108440906621
Found probable prime factor of 49 digits: 2246508082436551957070309765634386946108440906621
Probable prime cofactor 216819081015222352514353357874738868734772022441717435874702982842272944428806355881466444324045048201447291537 has 111 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
403e62350500Erik BrangerDecember 22, 2009 06:01:03 UTC 2009 年 12 月 22 日 (火) 15 時 1 分 3 秒 (日本時間)
1850Erik BrangerMarch 1, 2010 20:43:56 UTC 2010 年 3 月 2 日 (火) 5 時 43 分 56 秒 (日本時間)
4511e62500 / 3961500Erik BrangerMay 2, 2010 07:28:09 UTC 2010 年 5 月 2 日 (日) 16 時 28 分 9 秒 (日本時間)
1500Erik BrangerMay 7, 2010 19:52:10 UTC 2010 年 5 月 8 日 (土) 4 時 52 分 10 秒 (日本時間)
500Erik BrangerMay 9, 2010 14:42:20 UTC 2010 年 5 月 9 日 (日) 23 時 42 分 20 秒 (日本時間)

7×10194-619

c169

name 名前Erik Branger
date 日付January 11, 2010 11:22:05 UTC 2010 年 1 月 11 日 (月) 20 時 22 分 5 秒 (日本時間)
composite number 合成数
2190515186051883766474113016140858334592967891881449669122039818828454604618827131344033510617232901327051076906333834333376695372581784195580852156409995603681139344679<169>
prime factors 素因数
531491056722536956751161878516801175793<39>
composite cofactor 合成数の残り
4121452578261226588134752211933914983172630935008130060283432217832558587126174695042602785911630481640122255956671055306646366103<130>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 2190515186051883766474113016140858334592967891881449669122039818828454604618827131344033510617232901327051076906333834333376695372581784195580852156409995603681139344679 (169 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4288920521
Step 1 took 90528ms
Step 2 took 33103ms
********** Factor found in step 2: 531491056722536956751161878516801175793
Found probable prime factor of 39 digits: 531491056722536956751161878516801175793
Composite cofactor 4121452578261226588134752211933914983172630935008130060283432217832558587126174695042602785911630481640122255956671055306646366103 has 130 digits
software ソフトウェア
GMP-ECM

c130

name 名前Erik Branger
date 日付February 14, 2010 10:21:47 UTC 2010 年 2 月 14 日 (日) 19 時 21 分 47 秒 (日本時間)
composite number 合成数
4121452578261226588134752211933914983172630935008130060283432217832558587126174695042602785911630481640122255956671055306646366103<130>
prime factors 素因数
3970309055825903081121804660577323590306148898096591928599562369<64>
1038068452684694757256653541505174079526421259836469545228236760087<67>
factorization results 素因数分解の結果
Number: 77771_194
N = 4121452578261226588134752211933914983172630935008130060283432217832558587126174695042602785911630481640122255956671055306646366103 (130 digits)
Divisors found:
r1=3970309055825903081121804660577323590306148898096591928599562369 (pp64)
r2=1038068452684694757256653541505174079526421259836469545228236760087 (pp67)
Version: Msieve v. 1.44
Total time: 198.67 hours.
Factorization parameters were as follows:
n: 4121452578261226588134752211933914983172630935008130060283432217832558587126174695042602785911630481640122255956671055306646366103
Y0: -11437166933878805705924258
Y1: 184940293575229
c0: -2507340073231358376937210026675
c1: 1609648065258356055923272557
c2: 267549376854412277923
c3: -27295892036117117
c4: -1078195748
c5: 21060
skew: 483089.10 
type: gnfs
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [3600000, 9300000)
Relations: 21155602
Relations in full relation-set: 2184962 relations
Pruned matrix : 1300552 x 1300777
Polynomial selection time: 0.00 hours.
Total sieving time: 192.02 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 5.17 hours.
time per square root: 1.10 hours.
Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,7200000,7200000,28,28,55,55,2.5,2.5,100000
total time: 198.67 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62350400Erik BrangerJanuary 11, 2010 11:20:57 UTC 2010 年 1 月 11 日 (月) 20 時 20 分 57 秒 (日本時間)
1950Wataru SakaiJanuary 24, 2010 06:10:21 UTC 2010 年 1 月 24 日 (日) 15 時 10 分 21 秒 (日本時間)

7×10195-619

c172

name 名前Erik Branger
date 日付May 24, 2010 18:20:14 UTC 2010 年 5 月 25 日 (火) 3 時 20 分 14 秒 (日本時間)
composite number 合成数
1724823163148605327296658704954438880912038890470102578178882140289041698439554670854641024347629189390043509900358257512335735503007613488206620321230111476658091845732929<172>
prime factors 素因数
19908280249192111705082453786062567605531928939498777975091999<62>
86638481152514393708578093914510046471019487603024662120178172459121802263655491250035569430729730398893799071<110>
factorization results 素因数分解の結果
Number: 77771_195
N = 1724823163148605327296658704954438880912038890470102578178882140289041698439554670854641024347629189390043509900358257512335735503007613488206620321230111476658091845732929 (172 digits)
SNFS difficulty: 196 digits.
Divisors found:
r1=19908280249192111705082453786062567605531928939498777975091999 (pp62)
r2=86638481152514393708578093914510046471019487603024662120178172459121802263655491250035569430729730398893799071 (pp110)
Version: Msieve v. 1.45
Total time: 657.22 hours.
Factorization parameters were as follows:
n: 1724823163148605327296658704954438880912038890470102578178882140289041698439554670854641024347629189390043509900358257512335735503007613488206620321230111476658091845732929
m: 1000000000000000000000000000000000000000
deg: 5
c5: 7
c0: -61
skew: 1.54
type: snfs
lss: 1
rlim: 12900000
alim: 12900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [6450000, 12250000)
Relations: 22858594
Relations in full relation-set: 3737552 relations
Pruned matrix : 2291101 x 2291326
Polynomial selection time: 0.00 hours.
Total sieving time: 633.04 hours.
Total relation processing time: 0.47 hours.
Matrix solve time: 20.84 hours.
time per square root: 2.87 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62350500Erik BrangerJanuary 12, 2010 12:47:49 UTC 2010 年 1 月 12 日 (火) 21 時 47 分 49 秒 (日本時間)
350Erik BrangerFebruary 27, 2010 20:32:43 UTC 2010 年 2 月 28 日 (日) 5 時 32 分 43 秒 (日本時間)
500Erik BrangerFebruary 28, 2010 12:44:18 UTC 2010 年 2 月 28 日 (日) 21 時 44 分 18 秒 (日本時間)
1000Erik BrangerMarch 1, 2010 21:28:43 UTC 2010 年 3 月 2 日 (火) 6 時 28 分 43 秒 (日本時間)
4511e640002500Ignacio SantosApril 12, 2010 07:33:26 UTC 2010 年 4 月 12 日 (月) 16 時 33 分 26 秒 (日本時間)
1000Erik BrangerMay 6, 2010 14:56:18 UTC 2010 年 5 月 6 日 (木) 23 時 56 分 18 秒 (日本時間)
500Erik BrangerMay 7, 2010 19:21:34 UTC 2010 年 5 月 8 日 (土) 4 時 21 分 34 秒 (日本時間)

7×10196-619

c158

name 名前Serge Batalov
date 日付October 22, 2008 00:00:25 UTC 2008 年 10 月 22 日 (水) 9 時 0 分 25 秒 (日本時間)
composite number 合成数
76659676630735805957061691098144485415433079253604690533774565678373584751661043304846660100457182824135892024590357281706563395892616815699266550100045877029<158>
prime factors 素因数
484157287113548064449100693247493210791<39>
158336306549811414521395276193314134816000853211628844174230012646700094764773236328445359419394774791738633126133192019<120>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1582530103
Step 1 took 24888ms
Step 2 took 16469ms
********** Factor found in step 2: 484157287113548064449100693247493210791
Found probable prime factor of 39 digits: 484157287113548064449100693247493210791
Probable prime cofactor 158336306549811414521395276193314134816000853211628844174230012646700094764773236328445359419394774791738633126133192019 has 120 digits
software ソフトウェア
GMP-ECM 6.2.1

7×10197-619

c182

name 名前Robert Backstrom
date 日付April 3, 2010 10:24:33 UTC 2010 年 4 月 3 日 (土) 19 時 24 分 33 秒 (日本時間)
composite number 合成数
82412003595540646197249358229040357672823540595278658782421513337954984495754869545270948112391454791304430944828082638093710058891201320495875388446737844546796967844186089698216417<182>
prime factors 素因数
1192301442028862682062085670074201088037505944844425309237191<61>
69120107290405889248626039336790908611819195964977590843303240765223502630225962275075389234515807428677143705513850308887<122>
factorization results 素因数分解の結果
Number: n
N=82412003595540646197249358229040357672823540595278658782421513337954984495754869545270948112391454791304430944828082638093710058891201320495875388446737844546796967844186089698216417
  ( 182 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sat Apr  3 18:35:11 2010  prp61 factor: 1192301442028862682062085670074201088037505944844425309237191
Sat Apr  3 18:35:11 2010  prp122 factor: 69120107290405889248626039336790908611819195964977590843303240765223502630225962275075389234515807428677143705513850308887
Sat Apr  3 18:35:11 2010  elapsed time 05:34:44 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.074).
Factorization parameters were as follows:
name: KA_7_196_1
n: 82412003595540646197249358229040357672823540595278658782421513337954984495754869545270948112391454791304430944828082638093710058891201320495875388446737844546796967844186089698216417
m: 1000000000000000000000000000000000000000
deg: 5
c5: 700
c0: -61
skew: 0.61
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 16550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4301808 hash collisions in 29575464 relations
Msieve: matrix is 2058665 x 2058890 (584.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e3150Lionel DebrouxOctober 18, 2009 14:30:30 UTC 2009 年 10 月 18 日 (日) 23 時 30 分 30 秒 (日本時間)
255e4250Lionel DebrouxOctober 18, 2009 14:34:12 UTC 2009 年 10 月 18 日 (日) 23 時 34 分 12 秒 (日本時間)
3025e40--
351e60--
403e62350500Erik BrangerDecember 22, 2009 11:42:40 UTC 2009 年 12 月 22 日 (火) 20 時 42 分 40 秒 (日本時間)
1850Erik BrangerFebruary 27, 2010 10:37:05 UTC 2010 年 2 月 27 日 (土) 19 時 37 分 5 秒 (日本時間)
4511e61000 / 3961Erik BrangerMarch 26, 2010 10:05:56 UTC 2010 年 3 月 26 日 (金) 19 時 5 分 56 秒 (日本時間)

7×10198-619

c168

name 名前Erik Branger
date 日付December 21, 2009 17:00:15 UTC 2009 年 12 月 22 日 (火) 2 時 0 分 15 秒 (日本時間)
composite number 合成数
285321767389508735329154872093616199691336844403413182896276528395142827577131174381103348822433774083626337309145249185346327131003838382411204837961455467643089072889<168>
prime factors 素因数
434084681211224686141852439499199000759<39>
657295177045586107322565512403951199388892719101664080289634387135256356887900786390289588541880076660837466117973684510067141071<129>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 285321767389508735329154872093616199691336844403413182896276528395142827577131174381103348822433774083626337309145249185346327131003838382411204837961455467643089072889 (168 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2338097098
Step 1 took 60922ms
Step 2 took 25844ms
********** Factor found in step 2: 434084681211224686141852439499199000759
Found probable prime factor of 39 digits: 434084681211224686141852439499199000759
Probable prime cofactor 657295177045586107322565512403951199388892719101664080289634387135256356887900786390289588541880076660837466117973684510067141071 has 129 digits
software ソフトウェア
GMP-ECM

7×10199-619

c199

name 名前Wataru Sakai
date 日付November 23, 2008 04:04:15 UTC 2008 年 11 月 23 日 (日) 13 時 4 分 15 秒 (日本時間)
composite number 合成数
7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771<199>
prime factors 素因数
162977242689074237420617781730238377969785419608250633<54>
1078499033126045544619923456125343966895163031786125650645190344488551801<73>
44249544503388844859222475426113422020799712625769378619900612613079145387<74>
factorization results 素因数分解の結果
Number: 77771_199
N=7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771
  ( 199 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=162977242689074237420617781730238377969785419608250633
 r2=1078499033126045544619923456125343966895163031786125650645190344488551801
 r3=44249544503388844859222475426113422020799712625769378619900612613079145387
Version: 
Total time: 931.32 hours.
Scaled time: 1842.15 units (timescale=1.978).
Factorization parameters were as follows:
n: 7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771
m: 5000000000000000000000000000000000000000
deg: 5
c5: 112
c0: -305
skew: 1.22
type: snfs
lss: 1
rlim: 15400000
alim: 15400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15400000/15400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7700000, 17600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3166635 x 3166882
Total sieving time: 931.32 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,200,5,0,0,0,0,0,0,0,0,15400000,15400000,29,29,56,56,2.6,2.6,100000
total time: 931.32 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
2011e374Jo Yeong UkAugust 5, 2008 11:37:08 UTC 2008 年 8 月 5 日 (火) 20 時 37 分 8 秒 (日本時間)
255e4214Jo Yeong UkAugust 5, 2008 11:37:15 UTC 2008 年 8 月 5 日 (火) 20 時 37 分 15 秒 (日本時間)
3025e4430Jo Yeong UkAugust 5, 2008 11:37:23 UTC 2008 年 8 月 5 日 (火) 20 時 37 分 23 秒 (日本時間)
351e6904Jo Yeong UkAugust 5, 2008 11:37:29 UTC 2008 年 8 月 5 日 (火) 20 時 37 分 29 秒 (日本時間)
403e62350Jo Yeong UkAugust 5, 2008 11:37:40 UTC 2008 年 8 月 5 日 (火) 20 時 37 分 40 秒 (日本時間)
4511e639183062Jo Yeong UkAugust 5, 2008 11:37:48 UTC 2008 年 8 月 5 日 (火) 20 時 37 分 48 秒 (日本時間)
856Jo Yeong UkNovember 5, 2008 23:09:05 UTC 2008 年 11 月 6 日 (木) 8 時 9 分 5 秒 (日本時間)

7×10201-619

c163

name 名前Erik Branger
date 日付June 21, 2011 16:44:41 UTC 2011 年 6 月 22 日 (水) 1 時 44 分 41 秒 (日本時間)
composite number 合成数
6279951827849680185835292105308975519846600675139070169106570782730859744895486429642782728264298962897520408727400435855355510566556601763827971330264621622719227<163>
prime factors 素因数
2877512419306445889451074885689108703147919<43>
2182423883113355681338364757955021001093971236567419987983727786411782415531240896721282387439371902964351866073389234133<121>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1 and --enable-asm-redc]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=563584255
Step 1 took 238104ms
Step 2 took 70902ms
********** Factor found in step 2: 2877512419306445889451074885689108703147919
Found probable prime factor of 43 digits: 28775124193064458894510748856891087031
47919
Probable prime cofactor 21824238831133556813383647579550210010939712365674199879
83727786411782415531240896721282387439371902964351866073389234133 has 121 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
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600 / 4370Erik BrangerOctober 12, 2010 19:01:32 UTC 2010 年 10 月 13 日 (水) 4 時 1 分 32 秒 (日本時間)

7×10205-619

c203

name 名前Erik Branger
date 日付October 28, 2010 05:02:56 UTC 2010 年 10 月 28 日 (木) 14 時 2 分 56 秒 (日本時間)
composite number 合成数
49539985845718329794762915782024062278839348903043170559094125973106864826610049539985845718329794762915782024062278839348903043170559094125973106864826610049539985845718329794762915782024062278839348903<203>
prime factors 素因数
36363280116375219421286616437968108921711908966933819447158004201169779779516375614879<86>
1362362957554242677722002499074053220865828145336669332814557517734382344105166027767403348430122340569106253097675257<118>
factorization results 素因数分解の結果
Number: 77771_205
N = 49539985845718329794762915782024062278839348903043170559094125973106864826610049539985845718329794762915782024062278839348903043170559094125973106864826610049539985845718329794762915782024062278839348903 (203 digits)
SNFS difficulty: 206 digits.
Divisors found:
r1=36363280116375219421286616437968108921711908966933819447158004201169779779516375614879 (pp86)
r2=1362362957554242677722002499074053220865828145336669332814557517734382344105166027767403348430122340569106253097675257 (pp118)
Version: Msieve v. 1.47
Total time: 664.51 hours.
Factorization parameters were as follows:
n: 49539985845718329794762915782024062278839348903043170559094125973106864826610049539985845718329794762915782024062278839348903043170559094125973106864826610049539985845718329794762915782024062278839348903
m: 100000000000000000000000000000000000000000
deg: 5
c5: 7
c0: -61
skew: 1.54
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [9450000, 20150000)
Relations: 38859720
Relations in full relation-set: 6295552 relations
Pruned matrix : 3761963 x 3762187
Polynomial selection time: 0.00 hours.
Total sieving time: 650.68 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 12.79 hours.
time per square root: 0.76 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62350500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
1850Wataru SakaiOctober 16, 2010 03:45:20 UTC 2010 年 10 月 16 日 (土) 12 時 45 分 20 秒 (日本時間)
4511e64000Erik BrangerOctober 20, 2010 17:57:37 UTC 2010 年 10 月 21 日 (木) 2 時 57 分 37 秒 (日本時間)

7×10206-619

c190

name 名前Dmitry Domanov
date 日付July 19, 2011 06:07:42 UTC 2011 年 7 月 19 日 (火) 15 時 7 分 42 秒 (日本時間)
composite number 合成数
5494611556737229156347393125745676715525145973377252773508866772663915908258986504416660391697362393150044462541575475469441894419096854694076505457072456399194930374181840914596320515762633<190>
prime factors 素因数
229332057059901420380293907943095877631796298340223117<54>
composite cofactor 合成数の残り
23959195357071424704004079599913858141194406359773462128384286594003217612982517165441065647733587951017344559673221121746703579789544749<137>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3882850038
Step 1 took 337710ms
Step 2 took 92562ms
********** Factor found in step 2: 229332057059901420380293907943095877631796298340223117
Found probable prime factor of 54 digits: 229332057059901420380293907943095877631796298340223117
Composite cofactor 23959195357071424704004079599913858141194406359773462128384286594003217612982517165441065647733587951017344559673221121746703579789544749 has 137 digits

c137

name 名前Erik Branger
date 日付September 12, 2011 05:54:39 UTC 2011 年 9 月 12 日 (月) 14 時 54 分 39 秒 (日本時間)
composite number 合成数
23959195357071424704004079599913858141194406359773462128384286594003217612982517165441065647733587951017344559673221121746703579789544749<137>
prime factors 素因数
265897592031568293516431935146370536728534446535841173<54>
90106853446897349512478125165003130501658586573069947374731762827398547916558451513<83>
factorization results 素因数分解の結果
Number: 77771_206
N = 23959195357071424704004079599913858141194406359773462128384286594003217612982517165441065647733587951017344559673221121746703579789544749 (137 digits)
Divisors found:
r1=265897592031568293516431935146370536728534446535841173 (pp54)
r2=90106853446897349512478125165003130501658586573069947374731762827398547916558451513 (pp83)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 242.78 hours.
Factorization parameters were as follows:
# Murphy_E = 3.688e-11, selected by Dmitry Domanov
n: 23959195357071424704004079599913858141194406359773462128384286594003217612982517165441065647733587951017344559673221121746703579789544749
Y0: -427399282955746121357943457
Y1: 588572857464961
c0: -804485236802932413318513337573678200
c1: -662454843551826827808180068466
c2: 132448714193845535529511
c3: 116456786060922716
c4: -16851899516
c5: 1680
skew: 3598988.03
type: gnfs
# selected mechanically
rlim: 14600000
alim: 14600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 14600000/14600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [7300000, 16800000)
Relations: 22435435
Relations in full relation-set: 3785806 relations
Pruned matrix : 2254619 x 2254865
Polynomial selection time: 0.00 hours.
Total sieving time: 237.51 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 4.93 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: gnfs,136,5,65,2000,1e-05,0.28,250,20,50000,3600,14600000,14600000,28,28,55,55,2.6,2.6,100000
total time: 242.78 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerOctober 29, 2010 06:37:55 UTC 2010 年 10 月 29 日 (金) 15 時 37 分 55 秒 (日本時間)
5043e61080 / 7400600Dmitry DomanovJuly 18, 2011 20:10:47 UTC 2011 年 7 月 19 日 (火) 5 時 10 分 47 秒 (日本時間)
480Dmitry DomanovJuly 21, 2011 07:40:27 UTC 2011 年 7 月 21 日 (木) 16 時 40 分 27 秒 (日本時間)

7×10210-619

c179

name 名前Erik Branger
date 日付June 10, 2013 07:14:16 UTC 2013 年 6 月 10 日 (月) 16 時 14 分 16 秒 (日本時間)
composite number 合成数
13319556927255646496060020854915855523741724894143392538914769683494071887963805314452137582907704455592884256391979040242259170602660578171069876327796707197954545413332846027901<179>
prime factors 素因数
2384315450040626790932120535685482810130532071344165039709<58>
5586323289155674475754563991891651410356512908353086537417454176674509881737396671172623373043577953222788925502625328289<121>
factorization results 素因数分解の結果
Number: 77771_210
N = 13319556927255646496060020854915855523741724894143392538914769683494071887963805314452137582907704455592884256391979040242259170602660578171069876327796707197954545413332846027901(179 digits)
SNFS difficulty: 210 digits.
Divisors found:
2384315450040626790932120535685482810130532071344165039709(pp58)
5586323289155674475754563991891651410356512908353086537417454176674509881737396671172623373043577953222788925502625328289(pp121)
Version: Msieve v. 1.50 (SVN Official Release)
Total time: 500.00 hours.
Factorization parameters were as follows:
n: 13319556927255646496060020854915855523741724894143392538914769683494071887963805314452137582907704455592884256391979040242259170602660578171069876327796707197954545413332846027901
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 7
c0: -61
skew: 1.54
# Murphy_E = 6.449e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [11500000, 27500000)
Total raw relations: 44108715
Relations: 12599709 relations
Pruned matrix : 3957630 x 3957856
Polynomial selection time: 0.00 hours.
Total sieving time: 480.0 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 11.70 hours.
time per square root: 0.30 hours.
total time: 500.00 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerNovember 1, 2010 09:21:49 UTC 2010 年 11 月 1 日 (月) 18 時 21 分 49 秒 (日本時間)
5043e61080600Dmitry DomanovJuly 18, 2011 20:11:29 UTC 2011 年 7 月 19 日 (火) 5 時 11 分 29 秒 (日本時間)
480Dmitry DomanovJuly 20, 2011 20:21:40 UTC 2011 年 7 月 21 日 (木) 5 時 21 分 40 秒 (日本時間)
5511e72635 / 17343yoyo@homeNovember 10, 2011 07:55:04 UTC 2011 年 11 月 10 日 (木) 16 時 55 分 4 秒 (日本時間)

7×10211-619

c194

name 名前Erik Branger
date 日付June 19, 2013 06:47:08 UTC 2013 年 6 月 19 日 (水) 15 時 47 分 8 秒 (日本時間)
composite number 合成数
60670304447853379702688802156487500687521123258177089054190850258722664382357830942034504894657367092782309573107843409502145493315095574331092281421787975060635321168479504094839577553421510507<194>
prime factors 素因数
126668719865299006125491747250075217008162357093078870773778768658847<69>
478968323926940202522414839020922867609717708737366979484570439274169308924746775606144448461760510307936750691796053331033781<126>
factorization results 素因数分解の結果
Number: 77771_210
N = 60670304447853379702688802156487500687521123258177089054190850258722664382357830942034504894657367092782309573107843409502145493315095574331092281421787975060635321168479504094839577553421510507(194 digits)
SNFS difficulty: 211 digits.
Divisors found:
126668719865299006125491747250075217008162357093078870773778768658847(pp69)
478968323926940202522414839020922867609717708737366979484570439274169308924746775606144448461760510307936750691796053331033781(pp126)
Version: Msieve v. 1.50 (SVN Official Release)
Total time: 800.00 hours.
Factorization parameters were as follows:
n: 60670304447853379702688802156487500687521123258177089054190850258722664382357830942034504894657367092782309573107843409502145493315095574331092281421787975060635321168479504094839577553421510507
m: 100000000000000000000000000000000000
deg: 6
c6: 70
c0: -61
skew: 0.98
# Murphy_E = 3.517e-12
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 24000000/24000000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [12000000, 41500000)
Total raw relations: 46377108
Relations: 16213066 relations
Pruned matrix : 5137507 x 5137732
Polynomial selection time: 0.00 hours.
Total sieving time: 7800.0 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 18.70 hours.
time per square root: 0.30 hours.
total time: 800.00 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerNovember 7, 2010 19:38:35 UTC 2010 年 11 月 8 日 (月) 4 時 38 分 35 秒 (日本時間)
5043e61080800Dmitry DomanovJuly 17, 2011 23:16:04 UTC 2011 年 7 月 18 日 (月) 8 時 16 分 4 秒 (日本時間)
280Dmitry DomanovJuly 18, 2011 20:12:09 UTC 2011 年 7 月 19 日 (火) 5 時 12 分 9 秒 (日本時間)
5511e72635 / 17343yoyo@homeNovember 10, 2011 10:45:04 UTC 2011 年 11 月 10 日 (木) 19 時 45 分 4 秒 (日本時間)

7×10212-619

c186

name 名前Erik Branger
date 日付June 26, 2013 11:41:19 UTC 2013 年 6 月 26 日 (水) 20 時 41 分 19 秒 (日本時間)
composite number 合成数
706588376532556448866062212863540488887829756122566262969556571250539927237405712543736721959739579376939748463902161880434493956950450736945303379764988858342834754641868018877796644369<186>
prime factors 素因数
13541952658021827479661802004906149435893821186603907601<56>
52177731998937072379333705557657311344012668034873502346243502307159802614130660272784438770514426537061411283108481673278189779969<131>
factorization results 素因数分解の結果
Number: 77771_212
N = 706588376532556448866062212863540488887829756122566262969556571250539927237405712543736721959739579376939748463902161880434493956950450736945303379764988858342834754641868018877796644369 (186 digits)
SNFS difficulty: 212 digits.
Divisors found:
13541952658021827479661802004906149435893821186603907601(pp56)
52177731998937072379333705557657311344012668034873502346243502307159802614130660272784438770514426537061411283108481673278189779969(pp131)
Version: Msieve v. 1.50 (SVN Official Release)
Total time: 650.00 hours.
Factorization parameters were as follows:
n: 706588376532556448866062212863540488887829756122566262969556571250539927237405712543736721959739579376939748463902161880434493956950450736945303379764988858342834754641868018877796644369
m: 100000000000000000000000000000000000
deg: 6
c6: 700
c0: -61
skew: 0.67
# Murphy_E = 3.862e-12
type: snfs
lss: 1
rlim: 25000000
alim: 25000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 25000000/25000000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [12500000, 36400000)
Total raw relations: 44118464
Relations: 14958380 relations
Pruned matrix : 4733132 x 4733357
Polynomial selection time: 0.00 hours.
Total sieving time: 625.0 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 15.20 hours.
time per square root: 0.30 hours.
total time: 650.00 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerNovember 9, 2010 17:07:19 UTC 2010 年 11 月 10 日 (水) 2 時 7 分 19 秒 (日本時間)
5043e61080900Dmitry DomanovJuly 18, 2011 20:13:10 UTC 2011 年 7 月 19 日 (火) 5 時 13 分 10 秒 (日本時間)
180Dmitry DomanovJuly 20, 2011 20:20:40 UTC 2011 年 7 月 21 日 (木) 5 時 20 分 40 秒 (日本時間)
5511e72635 / 17343yoyo@homeNovember 10, 2011 12:55:04 UTC 2011 年 11 月 10 日 (木) 21 時 55 分 4 秒 (日本時間)

7×10213-619

c176

name 名前Polybius
date 日付November 17, 2011 06:01:22 UTC 2011 年 11 月 17 日 (木) 15 時 1 分 22 秒 (日本時間)
composite number 合成数
27059695789325016516798656745272685165600356426883089337138112256835987321749942654966311897075824023407412293801396623201507667666829464736948326442693185618975786574733563807<176>
prime factors 素因数
5924555632934454420658225885250621112477096664291<49>
4567379811390554642903827321733438550988935883607228155825396693503824979626797190115854580180369506193736238397462040049267477<127>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 27059695789325016516798656745272685165600356426883089337138112256835987321749942654966311897075824023407412293801396623201507667666829464736948326442693185618975786574733563807 (176 digits)
[Tue Nov 15 18:59:20 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=2137486157
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35   40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 1009373ms
Using 22 small primes for NTT
Estimated memory usage: 664M
Initializing tables of differences for F took 639ms
Computing roots of F took 29562ms
Building F from its roots took 14976ms
Computing 1/F took 5616ms
Initializing table of differences for G took 547ms
Computing roots of G took 24648ms
Building G from its roots took 14913ms
Computing roots of G took 24992ms
Building G from its roots took 14398ms
Computing G * H took 3167ms
Reducing  G * H mod F took 3120ms
Computing roots of G took 24664ms
Building G from its roots took 14914ms
Computing G * H took 3167ms
Reducing  G * H mod F took 3120ms
Computing roots of G took 24695ms
Building G from its roots took 14695ms
Computing G * H took 3151ms
Reducing  G * H mod F took 3135ms
Computing polyeval(F,G) took 33275ms
Computing product of all F(g_i) took 140ms
Step 2 took 262144ms
********** Factor found in step 2: 5924555632934454420658225885250621112477096664291
Found probable prime factor of 49 digits: 5924555632934454420658225885250621112477096664291
Probable prime cofactor 4567379811390554642903827321733438550988935883607228155825396693503824979626797190115854580180369506193736238397462040049267477 has 127 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
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerNovember 12, 2010 06:38:50 UTC 2010 年 11 月 12 日 (金) 15 時 38 分 50 秒 (日本時間)
5043e61080 / 4109480Dmitry DomanovJuly 16, 2011 22:10:04 UTC 2011 年 7 月 17 日 (日) 7 時 10 分 4 秒 (日本時間)
600Dmitry DomanovJuly 17, 2011 23:15:18 UTC 2011 年 7 月 18 日 (月) 8 時 15 分 18 秒 (日本時間)
5511e71365 / 17343yoyo@homeNovember 14, 2011 09:50:07 UTC 2011 年 11 月 14 日 (月) 18 時 50 分 7 秒 (日本時間)

7×10216-619

c178

name 名前Erik Branger
date 日付July 8, 2013 06:47:54 UTC 2013 年 7 月 8 日 (月) 15 時 47 分 54 秒 (日本時間)
composite number 合成数
1536560878093004252361026864184116343473738861462590527007204278686388637633117622460148977028576768930770677341334954025943027841483280791322727863253766262856102782380327812963<178>
prime factors 素因数
11860640460766562881358746098094467771979826598791182797091<59>
129551256795595932571431139235597729948121923145977527509399129121668441115556263486292602478449703320299611592396518593<120>
factorization results 素因数分解の結果
Number: 77771_216
N = 1536560878093004252361026864184116343473738861462590527007204278686388637633117622460148977028576768930770677341334954025943027841483280791322727863253766262856102782380327812963 (178 digits)
SNFS difficulty: 216 digits.
Divisors found:
11860640460766562881358746098094467771979826598791182797091(pp59)
129551256795595932571431139235597729948121923145977527509399129121668441115556263486292602478449703320299611592396518593(pp120)
Version: Msieve v. 1.50 (SVN Official Release)
Total time: 885.00 hours.
Factorization parameters were as follows:
n: 1536560878093004252361026864184116343473738861462590527007204278686388637633117622460148977028576768930770677341334954025943027841483280791322727863253766262856102782380327812963
m: 1000000000000000000000000000000000000
deg: 6
c6: 7
c0: -61
skew: 1.43
# Murphy_E = 3.402e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
rlambda: 2.6
alambda: 2.6
Factor base limits: 29000000/29000000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [14500000, 42300000)
Total raw relations: 47089845
Relations: 7705324 relations
Pruned matrix : 5009619 x 5009847
Polynomial selection time: 0.00 hours.
Total sieving time: 860.0 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 22.50 hours.
time per square root: 0.30 hours.
total time: 885.00 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerNovember 15, 2010 09:10:33 UTC 2010 年 11 月 15 日 (月) 18 時 10 分 33 秒 (日本時間)
5043e61080480Dmitry DomanovJuly 16, 2011 22:09:33 UTC 2011 年 7 月 17 日 (日) 7 時 9 分 33 秒 (日本時間)
600Dmitry DomanovJuly 17, 2011 23:14:48 UTC 2011 年 7 月 18 日 (月) 8 時 14 分 48 秒 (日本時間)
5511e72635 / 17343yoyo@homeNovember 14, 2011 10:00:05 UTC 2011 年 11 月 14 日 (月) 19 時 0 分 5 秒 (日本時間)

7×10217-619

c215

name 名前Wataru Sakai
date 日付October 13, 2010 08:30:02 UTC 2010 年 10 月 13 日 (水) 17 時 30 分 2 秒 (日本時間)
composite number 合成数
16237531895151936905590350266759452563210392020412897239619577824170726049640454650893064254233356529807469264671769890976571561122709348179076780329389932730225005799118533982834609139410809556947344003711435861749<215>
prime factors 素因数
58375616133733341873526540546780144525213<41>
composite cofactor 合成数の残り
278156068759140738969298867525812490267926595764188798139783677259393974741282911643139597589121356763963856456569929728090637868986414079568132931580298174318514354247772473<174>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=868874151
Step 1 took 23958ms
Step 2 took 8386ms
********** Factor found in step 2: 58375616133733341873526540546780144525213
Found probable prime factor of 41 digits: 58375616133733341873526540546780144525213
Composite cofactor 278156068759140738969298867525812490267926595764188798139783677259393974741282911643139597589121356763963856456569929728090637868986414079568132931580298174318514354247772473 has 174 digits
software ソフトウェア
GMP-ECM 6.2.3

c174

name 名前Erik Branger
date 日付April 6, 2014 19:26:44 UTC 2014 年 4 月 7 日 (月) 4 時 26 分 44 秒 (日本時間)
composite number 合成数
278156068759140738969298867525812490267926595764188798139783677259393974741282911643139597589121356763963856456569929728090637868986414079568132931580298174318514354247772473<174>
prime factors 素因数
1924882914767003137927055647001538925994046832844619269001519433<64>
144505448422461609829487280462188699560472820936559328071451305172091412149213184912057155348228758049747744881<111>
factorization results 素因数分解の結果
Number: 77771_217
N = 278156068759140738969298867525812490267926595764188798139783677259393974741282911643139597589121356763963856456569929728090637868986414079568132931580298174318514354247772473 (174 digits)
SNFS difficulty: 218 digits.
Divisors found:
r1=1924882914767003137927055647001538925994046832844619269001519433 (pp64)
r2=144505448422461609829487280462188699560472820936559328071451305172091412149213184912057155348228758049747744881 (pp111)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1314.20 hours.
Factorization parameters were as follows:
n: 278156068759140738969298867525812490267926595764188798139783677259393974741282911643139597589121356763963856456569929728090637868986414079568132931580298174318514354247772473
m: 1000000000000000000000000000000000000
deg: 6
c6: 70
c0: -61
skew: 0.98
# Murphy_E = 2.213e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 30000000/30000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 51051385
Relations: 8895556 relations
Pruned matrix : 5969071 x 5969298
Polynomial selection time: 0.00 hours.
Total sieving time: 1279.42 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 34.23 hours.
time per square root: 0.24 hours.
Prototype def-par.txt line would be: snfs,218,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,58,58,2.6,2.6,100000
total time: 1314.20 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerNovember 18, 2010 07:29:49 UTC 2010 年 11 月 18 日 (木) 16 時 29 分 49 秒 (日本時間)
5043e61080480Dmitry DomanovJuly 16, 2011 22:08:49 UTC 2011 年 7 月 17 日 (日) 7 時 8 分 49 秒 (日本時間)
600Dmitry DomanovJuly 17, 2011 23:14:03 UTC 2011 年 7 月 18 日 (月) 8 時 14 分 3 秒 (日本時間)
5511e72635 / 17343yoyo@homeNovember 14, 2011 10:26:38 UTC 2011 年 11 月 14 日 (月) 19 時 26 分 38 秒 (日本時間)

7×10219-619

c213

name 名前Erik Branger
date 日付May 6, 2014 14:21:21 UTC 2014 年 5 月 6 日 (火) 23 時 21 分 21 秒 (日本時間)
composite number 合成数
121408058050534508514772039287161952920764817346172825168459317347811833952141533212761256482518219577191581516691552716965782300887012475319692999259289437833688963551375788309024925230413849370999593647229704861<213>
prime factors 素因数
14492508696406287869055890265094639274950747764150560922604599562899993194808511987<83>
8377297581380103256898956817663482173499976349755110416620621034593320368535489922391427264343211460964170603051396314803637094703<130>
factorization results 素因数分解の結果
Number: 77771_219
N = 121408058050534508514772039287161952920764817346172825168459317347811833952141533212761256482518219577191581516691552716965782300887012475319692999259289437833688963551375788309024925230413849370999593647229704861 (213 digits)
SNFS difficulty: 220 digits.
Divisors found:
r1=14492508696406287869055890265094639274950747764150560922604599562899993194808511987 (pp83)
r2=8377297581380103256898956817663482173499976349755110416620621034593320368535489922391427264343211460964170603051396314803637094703 (pp130)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1747.52 hours.
Factorization parameters were as follows:
n: 121408058050534508514772039287161952920764817346172825168459317347811833952141533212761256482518219577191581516691552716965782300887012475319692999259289437833688963551375788309024925230413849370999593647229704861
m: 1000000000000000000000000000000000000
deg: 6
c6: 7000
c0: -61
skew: 0.45
# Murphy_E = 1.748e-12
type: snfs
lss: 1
rlim: 75000000
alim: 75000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 75000000/75000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 51364669
Relations: 9829344 relations
Pruned matrix : 6774871 x 6775097
Polynomial selection time: 0.00 hours.
Total sieving time: 1700.82 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 45.72 hours.
time per square root: 0.62 hours.
Prototype def-par.txt line would be: snfs,220,6,0,0,0,0,0,0,0,0,75000000,75000000,29,29,58,58,2.6,2.6,100000
total time: 1747.52 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62350500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
1850Wataru SakaiOctober 15, 2010 11:40:40 UTC 2010 年 10 月 15 日 (金) 20 時 40 分 40 秒 (日本時間)
4511e60--
5043e6720360Dmitry DomanovJune 13, 2011 18:38:59 UTC 2011 年 6 月 14 日 (火) 3 時 38 分 59 秒 (日本時間)
360Dmitry DomanovJune 14, 2011 19:55:23 UTC 2011 年 6 月 15 日 (水) 4 時 55 分 23 秒 (日本時間)
5511e73010 / 17494200Dmitry DomanovJune 14, 2011 14:09:42 UTC 2011 年 6 月 14 日 (火) 23 時 9 分 42 秒 (日本時間)
2810yoyo@homeNovember 14, 2011 11:40:09 UTC 2011 年 11 月 14 日 (月) 20 時 40 分 9 秒 (日本時間)

7×10220-619

c168

name 名前Erik Branger
date 日付April 12, 2015 09:05:21 UTC 2015 年 4 月 12 日 (日) 18 時 5 分 21 秒 (日本時間)
composite number 合成数
658206994651237044954177507045079050689573212100317037408972719523783317564292083710801306107792224175028082743657391541456280880728748202392523074809799415777814867683<168>
prime factors 素因数
374370160736945778019198437831878374420171553398761937<54>
3942096299060742408903505157667245041420744694898504391<55>
445999157237081223050728029263147571597688081608655252284149<60>
factorization results 素因数分解の結果
Number: 77771_220
N = 658206994651237044954177507045079050689573212100317037408972719523783317564292083710801306107792224175028082743657391541456280880728748202392523074809799415777814867683 (168 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=374370160736945778019198437831878374420171553398761937 (pp54)
r2=3942096299060742408903505157667245041420744694898504391 (pp55)
r3=445999157237081223050728029263147571597688081608655252284149 (pp60)
Version: Msieve v. 1.52 (SVN 958)
Total time: 1313.68 hours.
Factorization parameters were as follows:
n: 658206994651237044954177507045079050689573212100317037408972719523783317564292083710801306107792224175028082743657391541456280880728748202392523074809799415777814867683
m: 5000000000000000000000000000000000000
deg: 6
c6: 112
c0: -1525
skew: 1.55
# Murphy_E = 2.012e-12
type: snfs
lss: 1
rlim: 35000000
alim: 35000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 35000000/35000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 50024326
Relations: 9303230 relations
Pruned matrix : 6183594 x 6183819
Polynomial selection time: 0.00 hours.
Total sieving time: 1289.68 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 22.69 hours.
time per square root: 1.03 hours.
Prototype def-par.txt line would be: snfs,223,6,0,0,0,0,0,0,0,0,35000000,35000000,29,29,58,58,2.6,2.6,100000
total time: 1313.68 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerNovember 21, 2010 10:06:12 UTC 2010 年 11 月 21 日 (日) 19 時 6 分 12 秒 (日本時間)
5043e61080480Dmitry DomanovJuly 9, 2011 21:48:52 UTC 2011 年 7 月 10 日 (日) 6 時 48 分 52 秒 (日本時間)
600Dmitry DomanovJuly 15, 2011 19:52:11 UTC 2011 年 7 月 16 日 (土) 4 時 52 分 11 秒 (日本時間)
5511e72635 / 17343yoyo@homeNovember 14, 2011 14:15:09 UTC 2011 年 11 月 14 日 (月) 23 時 15 分 9 秒 (日本時間)

7×10221-619

c151

name 名前Erik Branger
date 日付November 5, 2011 22:40:55 UTC 2011 年 11 月 6 日 (日) 7 時 40 分 55 秒 (日本時間)
composite number 合成数
2522532689607533333142653523044513070193522867182239012767671274273432772748972217572202809784775623535909055137985207090969157336151253459667557427037<151>
prime factors 素因数
1475899409451728182751118319122262024481347742692157222910166712561587<70>
1709149467404836090819130602853280538926834951547576384007135695788063285166130351<82>
factorization results 素因数分解の結果
Number: 77771_221
N = 2522532689607533333142653523044513070193522867182239012767671274273432772748972217572202809784775623535909055137985207090969157336151253459667557427037 (151 digits)
Divisors found:
r1=1475899409451728182751118319122262024481347742692157222910166712561587 (pp70)
r2=1709149467404836090819130602853280538926834951547576384007135695788063285166130351 (pp82)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 1497.53 hours.
Factorization parameters were as follows:
# Murphy_E = 5.033e-12, selected by Erik Branger
n: 2522532689607533333142653523044513070193522867182239012767671274273432772748972217572202809784775623535909055137985207090969157336151253459667557427037
Y0: -193896740334588408105373329769
Y1: 54871118481582379
c0: 1826948977289264578043605545705594240
c1: 20340590734259694400348900087512
c2: -27744056257718234636210846
c3: -1810654499171392157
c4: 573107293320
c5: 9204
skew: 6372316.07
type: gnfs
# selected mechanically
rlim: 35000000
alim: 35000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 35000000/35000000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [17500000, 37100000)
Relations: 46056131
Relations in full relation-set: 7023860 relations
Pruned matrix : 4479288 x 4479515
Polynomial selection time: 0.00 hours.
Total sieving time: 1476.18 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 20.60 hours.
time per square root: 0.41 hours.
Prototype def-par.txt line would be: gnfs,150,5,65,2000,1e-05,0.28,250,20,50000,3600,35000000,35000000,29,29,58,58,2.6,2.6,100000
total time: 1497.53 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62350500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
1850Wataru SakaiOctober 9, 2010 03:40:14 UTC 2010 年 10 月 9 日 (土) 12 時 40 分 14 秒 (日本時間)
4511e64000Wataru SakaiOctober 16, 2010 08:18:16 UTC 2010 年 10 月 16 日 (土) 17 時 18 分 16 秒 (日本時間)
5043e60--
5511e72735 / 17501yoyo@homeMarch 2, 2011 20:41:01 UTC 2011 年 3 月 3 日 (木) 5 時 41 分 1 秒 (日本時間)

7×10223-619

c212

composite cofactor 合成数の残り
21583077837607787587455406889535823679467212196734095119311566906386788613452799783195124781732834266381141414555097526897023014606748758581109483204008833792881137303398251996871564675962208888766891232070301673<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerNovember 29, 2010 17:24:19 UTC 2010 年 11 月 30 日 (火) 2 時 24 分 19 秒 (日本時間)
5043e61080480Dmitry DomanovJuly 15, 2011 19:53:30 UTC 2011 年 7 月 16 日 (土) 4 時 53 分 30 秒 (日本時間)
600Dmitry DomanovJuly 16, 2011 15:02:52 UTC 2011 年 7 月 17 日 (日) 0 時 2 分 52 秒 (日本時間)
5511e73635 / 173432635yoyo@homeNovember 14, 2011 16:50:06 UTC 2011 年 11 月 15 日 (火) 1 時 50 分 6 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 15:57:28 UTC 2016 年 8 月 15 日 (月) 0 時 57 分 28 秒 (日本時間)

7×10224-619

c177

composite cofactor 合成数の残り
105824007752858040354606167997263821677446879722340714407180030343289395126598805396070848152291939878020033265363094475859834274448857670535389579290740421669778911242679644561<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerNovember 29, 2010 17:24:44 UTC 2010 年 11 月 30 日 (火) 2 時 24 分 44 秒 (日本時間)
5043e61080300Dmitry DomanovJuly 10, 2011 21:37:01 UTC 2011 年 7 月 11 日 (月) 6 時 37 分 1 秒 (日本時間)
360Dmitry DomanovJuly 15, 2011 19:54:45 UTC 2011 年 7 月 16 日 (土) 4 時 54 分 45 秒 (日本時間)
420Dmitry DomanovJuly 16, 2011 15:00:45 UTC 2011 年 7 月 17 日 (日) 0 時 0 分 45 秒 (日本時間)
5511e73635 / 173432635yoyo@homeNovember 19, 2011 12:55:10 UTC 2011 年 11 月 19 日 (土) 21 時 55 分 10 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 15:57:50 UTC 2016 年 8 月 15 日 (月) 0 時 57 分 50 秒 (日本時間)

7×10225-619

c159

composite cofactor 合成数の残り
239298655024706793351585435828723321031604874108706707655901844712579489331279085915397176258079894865349363330453547109579394967241907142590379425805160728681<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerNovember 30, 2010 17:07:31 UTC 2010 年 12 月 1 日 (水) 2 時 7 分 31 秒 (日本時間)
5043e61200560Dmitry DomanovJuly 10, 2011 12:54:15 UTC 2011 年 7 月 10 日 (日) 21 時 54 分 15 秒 (日本時間)
640Dmitry DomanovJuly 15, 2011 19:55:40 UTC 2011 年 7 月 16 日 (土) 4 時 55 分 40 秒 (日本時間)
5511e73585 / 173002585yoyo@homeNovember 19, 2011 15:25:12 UTC 2011 年 11 月 20 日 (日) 0 時 25 分 12 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 15:58:08 UTC 2016 年 8 月 15 日 (月) 0 時 58 分 8 秒 (日本時間)

7×10227-619

c217

name 名前Erik Branger
date 日付January 11, 2015 14:40:24 UTC 2015 年 1 月 11 日 (日) 23 時 40 分 24 秒 (日本時間)
composite number 合成数
1790118784953746505640978123506726855409434935762307298204175794230743557313475023837330234429019415823124433325417339327522383578240719868413893345252979608260594814869828421387757027462519952805620243318017066601007<217>
prime factors 素因数
397539239894016276287084115183477195825570705157980773874671917525198522505522929623811<87>
4502998962897325817708548897898305016338584697287603194930066184327937421550726421770518405914873826542707949282768010124841320037<130>
factorization results 素因数分解の結果
Number: 77771_227
N = 1790118784953746505640978123506726855409434935762307298204175794230743557313475023837330234429019415823124433325417339327522383578240719868413893345252979608260594814869828421387757027462519952805620243318017066601007 (217 digits)
SNFS difficulty: 229 digits.
Divisors found:
r1=397539239894016276287084115183477195825570705157980773874671917525198522505522929623811 (pp87)
r2=4502998962897325817708548897898305016338584697287603194930066184327937421550726421770518405914873826542707949282768010124841320037 (pp130)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1936.28 hours.
Factorization parameters were as follows:
n: 1790118784953746505640978123506726855409434935762307298204175794230743557313475023837330234429019415823124433325417339327522383578240719868413893345252979608260594814869828421387757027462519952805620243318017066601007
m: 100000000000000000000000000000000000000
deg: 6
c6: 7
c0: -610
skew: 2.11
# Murphy_E = 1.156e-12
type: snfs
lss: 1
rlim: 46000000
alim: 46000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 46000000/46000000
Large primes per side: 3
Large prime bits: 30/30
Sieved rational special-q in [0, 0)
Total raw relations: 85013884
Relations: 10389164 relations
Pruned matrix : 6829279 x 6829504
Polynomial selection time: 0.00 hours.
Total sieving time: 1896.17 hours.
Total relation processing time: 0.57 hours.
Matrix solve time: 39.03 hours.
time per square root: 0.50 hours.
Prototype def-par.txt line would be: snfs,229,6,0,0,0,0,0,0,0,0,46000000,46000000,30,30,59,59,2.7,2.7,100000
total time: 1936.28 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerNovember 30, 2010 17:07:53 UTC 2010 年 12 月 1 日 (水) 2 時 7 分 53 秒 (日本時間)
5043e61080400Dmitry DomanovJuly 10, 2011 12:51:32 UTC 2011 年 7 月 10 日 (日) 21 時 51 分 32 秒 (日本時間)
680Dmitry DomanovJuly 15, 2011 19:51:26 UTC 2011 年 7 月 16 日 (土) 4 時 51 分 26 秒 (日本時間)
5511e72635 / 17343yoyo@homeNovember 19, 2011 19:31:00 UTC 2011 年 11 月 20 日 (日) 4 時 31 分 0 秒 (日本時間)

7×10230-619

c193

name 名前Erik Branger
date 日付January 18, 2016 08:25:51 UTC 2016 年 1 月 18 日 (月) 17 時 25 分 51 秒 (日本時間)
composite number 合成数
2243341597115754016583758539070994084840915559290428131201708182596770987769900847261348801169184312087378565428865419538532391378704837251940771658329893088169756722823309478863322854693738361<193>
prime factors 素因数
3880610043226758979819111187897756575473553884703713113053751832668929710411299<79>
578089932285594235188392033635006927629118911412038228822406570762456463817110086215582911709877425952662735292339<114>
factorization results 素因数分解の結果
Number: 77771_230
N = 2243341597115754016583758539070994084840915559290428131201708182596770987769900847261348801169184312087378565428865419538532391378704837251940771658329893088169756722823309478863322854693738361 (193 digits)
SNFS difficulty: 231 digits.
Divisors found:
r1=3880610043226758979819111187897756575473553884703713113053751832668929710411299 (pp79)
r2=578089932285594235188392033635006927629118911412038228822406570762456463817110086215582911709877425952662735292339 (pp114)
Version: Msieve v. 1.52 (SVN 883 pre-release)
Total time: 3179.54 hours.
Factorization parameters were as follows:
n: 2243341597115754016583758539070994084840915559290428131201708182596770987769900847261348801169184312087378565428865419538532391378704837251940771658329893088169756722823309478863322854693738361
m: 100000000000000000000000000000000000000
deg: 6
c6: 700
c0: -61
skew: 0.67
# Murphy_E = 9.492e-13
type: snfs
lss: 1
rlim: 80000000
alim: 80000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 80000000/80000000
Large primes per side: 3
Large prime bits: 30/30
Sieved rational special-q in [0, 0)
Total raw relations: 85204514
Relations: 13399138 relations
Pruned matrix : 8974116 x 8974341
Polynomial selection time: 0.00 hours.
Total sieving time: 3088.10 hours.
Total relation processing time: 0.73 hours.
Matrix solve time: 90.26 hours.
time per square root: 0.45 hours.
Prototype def-par.txt line would be: snfs,231,6,0,0,0,0,0,0,0,0,80000000,80000000,30,30,59,59,2.7,2.7,100000
total time: 3179.54 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.69GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerNovember 30, 2010 17:08:13 UTC 2010 年 12 月 1 日 (水) 2 時 8 分 13 秒 (日本時間)
5043e61080400Dmitry DomanovJuly 10, 2011 12:52:27 UTC 2011 年 7 月 10 日 (日) 21 時 52 分 27 秒 (日本時間)
440Dmitry DomanovJuly 15, 2011 19:56:36 UTC 2011 年 7 月 16 日 (土) 4 時 56 分 36 秒 (日本時間)
240Dmitry DomanovJuly 16, 2011 14:59:54 UTC 2011 年 7 月 16 日 (土) 23 時 59 分 54 秒 (日本時間)
5511e72635 / 17343yoyo@homeNovember 19, 2011 21:05:11 UTC 2011 年 11 月 20 日 (日) 6 時 5 分 11 秒 (日本時間)

7×10233-619

c220

composite cofactor 合成数の残り
1080412026011250981733109244082094375352548724766433123696635378327971846808672274221979809123174078345070472169270450543733061332031142231707119273121891643978084804882338228708324276486719551030448007116553189142624009<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerNovember 30, 2010 17:08:32 UTC 2010 年 12 月 1 日 (水) 2 時 8 分 32 秒 (日本時間)
5043e61080400Dmitry DomanovJuly 10, 2011 12:50:38 UTC 2011 年 7 月 10 日 (日) 21 時 50 分 38 秒 (日本時間)
680Dmitry DomanovJuly 15, 2011 19:50:52 UTC 2011 年 7 月 16 日 (土) 4 時 50 分 52 秒 (日本時間)
5511e73635 / 173432635yoyo@homeNovember 20, 2011 01:25:28 UTC 2011 年 11 月 20 日 (日) 10 時 25 分 28 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 15:58:35 UTC 2016 年 8 月 15 日 (月) 0 時 58 分 35 秒 (日本時間)

7×10234-619

c186

composite cofactor 合成数の残り
235830663928534203295128932736113342598764722520561107468641643850821372719450347376817466156600695119586343260490938457330981030787664700920766921162579795205010659483376337634902269931<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerNovember 30, 2010 17:08:49 UTC 2010 年 12 月 1 日 (水) 2 時 8 分 49 秒 (日本時間)
5043e61080400Dmitry DomanovJuly 10, 2011 08:09:46 UTC 2011 年 7 月 10 日 (日) 17 時 9 分 46 秒 (日本時間)
440Dmitry DomanovJuly 15, 2011 19:57:24 UTC 2011 年 7 月 16 日 (土) 4 時 57 分 24 秒 (日本時間)
240Dmitry DomanovJuly 16, 2011 14:58:16 UTC 2011 年 7 月 16 日 (土) 23 時 58 分 16 秒 (日本時間)
5511e73635 / 173432635yoyo@homeNovember 20, 2011 02:30:08 UTC 2011 年 11 月 20 日 (日) 11 時 30 分 8 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 15:59:03 UTC 2016 年 8 月 15 日 (月) 0 時 59 分 3 秒 (日本時間)

7×10236-619

c229

composite cofactor 合成数の残り
2579408291034077377288897365561507024305458482288174228447115620712735539911739059952851585427226050266793911088584770018611794221336129146610247195419498548362444406335529378909546964556192223534293522491513553266876057872916231<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62350500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
1850Wataru SakaiOctober 8, 2010 05:53:40 UTC 2010 年 10 月 8 日 (金) 14 時 53 分 40 秒 (日本時間)
4511e6800Dmitry DomanovApril 13, 2011 18:13:23 UTC 2011 年 4 月 14 日 (木) 3 時 13 分 23 秒 (日本時間)
5043e6300Dmitry DomanovApril 13, 2011 18:16:52 UTC 2011 年 4 月 14 日 (木) 3 時 16 分 52 秒 (日本時間)
5511e74210 / 17594100Dmitry DomanovApril 18, 2011 08:08:09 UTC 2011 年 4 月 18 日 (月) 17 時 8 分 9 秒 (日本時間)
200Dmitry DomanovApril 18, 2011 19:21:34 UTC 2011 年 4 月 19 日 (火) 4 時 21 分 34 秒 (日本時間)
2910yoyo@homeJune 21, 2011 21:05:23 UTC 2011 年 6 月 22 日 (水) 6 時 5 分 23 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 15:59:19 UTC 2016 年 8 月 15 日 (月) 0 時 59 分 19 秒 (日本時間)

7×10237-619

c201

composite cofactor 合成数の残り
865562865432070271176374321964600895709641213492781081939093064046741601460945771062948144292071055263806715407046826734802356645641577649366098298609924501844307877286498288392728490620621700715019041<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerDecember 16, 2010 10:12:56 UTC 2010 年 12 月 16 日 (木) 19 時 12 分 56 秒 (日本時間)
5043e61080400Dmitry DomanovJuly 10, 2011 08:07:52 UTC 2011 年 7 月 10 日 (日) 17 時 7 分 52 秒 (日本時間)
440Dmitry DomanovJuly 15, 2011 19:58:13 UTC 2011 年 7 月 16 日 (土) 4 時 58 分 13 秒 (日本時間)
240Dmitry DomanovJuly 18, 2011 20:14:30 UTC 2011 年 7 月 19 日 (火) 5 時 14 分 30 秒 (日本時間)
5511e73635 / 173432635yoyo@homeNovember 20, 2011 02:40:04 UTC 2011 年 11 月 20 日 (日) 11 時 40 分 4 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 15:59:36 UTC 2016 年 8 月 15 日 (月) 0 時 59 分 36 秒 (日本時間)

7×10238-619

c224

composite cofactor 合成数の残り
51517821377893350051578104941233740873297011223939247134826706904362329873159620050287371754089918096040957264312370684089971128991577819490060026375654485140187783881692935094083202971674736740179291621465830762526980119089<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerDecember 16, 2010 10:13:02 UTC 2010 年 12 月 16 日 (木) 19 時 13 分 2 秒 (日本時間)
5043e61080400Dmitry DomanovJuly 10, 2011 08:08:49 UTC 2011 年 7 月 10 日 (日) 17 時 8 分 49 秒 (日本時間)
680Dmitry DomanovJuly 15, 2011 19:50:17 UTC 2011 年 7 月 16 日 (土) 4 時 50 分 17 秒 (日本時間)
5511e73635 / 173432635yoyo@homeNovember 20, 2011 03:45:16 UTC 2011 年 11 月 20 日 (日) 12 時 45 分 16 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 15:59:53 UTC 2016 年 8 月 15 日 (月) 0 時 59 分 53 秒 (日本時間)

7×10239-619

c219

composite cofactor 合成数の残り
323485187061612994209049542844402705981570904670843166982222239555684097724125139260471961355937907360358609411747529327801521406332543771905758409912160762846559543125167953650695066159605227976919107235462893338724029<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerDecember 16, 2010 10:18:35 UTC 2010 年 12 月 16 日 (木) 19 時 18 分 35 秒 (日本時間)
5043e61080640Dmitry DomanovJuly 3, 2011 20:03:32 UTC 2011 年 7 月 4 日 (月) 5 時 3 分 32 秒 (日本時間)
440Dmitry DomanovJuly 16, 2011 22:07:06 UTC 2011 年 7 月 17 日 (日) 7 時 7 分 6 秒 (日本時間)
5511e73635 / 173432635yoyo@homeNovember 20, 2011 06:15:14 UTC 2011 年 11 月 20 日 (日) 15 時 15 分 14 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 15:59:59 UTC 2016 年 8 月 15 日 (月) 0 時 59 分 59 秒 (日本時間)

7×10242-619

c242

name 名前Erik Branger
date 日付February 25, 2014 07:16:21 UTC 2014 年 2 月 25 日 (火) 16 時 16 分 21 秒 (日本時間)
composite number 合成数
77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771<242>
prime factors 素因数
1503391039759930394056841078355272831423705770727454778836295937487674390532079657663472808130961868659694409808663<115>
51734895127616134831144953317190830071816765745014526505882694357941597485861363776755061519494633922999459131791442454816173517<128>
factorization results 素因数分解の結果
Number: 77771_242
N = 77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771 (242 digits)
SNFS difficulty: 243 digits.
Divisors found:
r1=1503391039759930394056841078355272831423705770727454778836295937487674390532079657663472808130961868659694409808663 (pp115)
r2=51734895127616134831144953317190830071816765745014526505882694357941597485861363776755061519494633922999459131791442454816173517 (pp128)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 6717.73 hours.
Factorization parameters were as follows:
n: 77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771
m: 10000000000000000000000000000000000000000
deg: 6
c6: 700
c0: -61
skew: 0.67
# Murphy_E = 3.646e-13
type: snfs
lss: 1
rlim: 80000000
alim: 80000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
Factor base limits: 80000000/80000000
Large primes per side: 3
Large prime bits: 30/30
Sieved rational special-q in [0, 0)
Total raw relations: 101395455
Relations: 14740148 relations
Pruned matrix : 10553009 x 10553233
Polynomial selection time: 0.00 hours.
Total sieving time: 6585.30 hours.
Total relation processing time: 0.79 hours.
Matrix solve time: 130.76 hours.
time per square root: 0.89 hours.
Prototype def-par.txt line would be: snfs,243,6,0,0,0,0,0,0,0,0,80000000,80000000,30,30,60,60,2.7,2.7,100000
total time: 6717.73 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62350500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
1850Serge BatalovOctober 5, 2010 07:10:03 UTC 2010 年 10 月 5 日 (火) 16 時 10 分 3 秒 (日本時間)
4511e61000Serge BatalovOctober 5, 2010 18:10:45 UTC 2010 年 10 月 6 日 (水) 3 時 10 分 45 秒 (日本時間)
5043e61000Dmitry DomanovNovember 15, 2010 07:12:13 UTC 2010 年 11 月 15 日 (月) 16 時 12 分 13 秒 (日本時間)
5511e72600 / 17332yoyo@homeMarch 2, 2011 22:50:19 UTC 2011 年 3 月 3 日 (木) 7 時 50 分 19 秒 (日本時間)

7×10243-619

c239

name 名前Erik Branger
date 日付March 17, 2016 21:42:01 UTC 2016 年 3 月 18 日 (金) 6 時 42 分 1 秒 (日本時間)
composite number 合成数
30605508117017974177695580127406358075700538219721314987517324903701954817525588390893549670553566197527949387234005342847274142280635020571273670081366929436814928492416392310147474826969573752716238845385345208270482736307314279218422767<239>
prime factors 素因数
2446483374957447477998670163803163478867352329604717317723837132704544800690707838221218036231<94>
12510000448112714539497143536790382453513989509020106468172092155621090722686999887545949982758888412569223626081384814713659328229852897404349657<146>
factorization results 素因数分解の結果
Number: 77771_243
N = 30605508117017974177695580127406358075700538219721314987517324903701954817525588390893549670553566197527949387234005342847274142280635020571273670081366929436814928492416392310147474826969573752716238845385345208270482736307314279218422767 (239 digits)
SNFS difficulty: 244 digits.
Divisors found:
r1=2446483374957447477998670163803163478867352329604717317723837132704544800690707838221218036231 (pp94)
r2=12510000448112714539497143536790382453513989509020106468172092155621090722686999887545949982758888412569223626081384814713659328229852897404349657 (pp146)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 8720.48 hours.
Factorization parameters were as follows:
n: 30605508117017974177695580127406358075700538219721314987517324903701954817525588390893549670553566197527949387234005342847274142280635020571273670081366929436814928492416392310147474826969573752716238845385345208270482736307314279218422767
m: 10000000000000000000000000000000000000000
deg: 6
c6: 7000
c0: -61
skew: 0.45
# Murphy_E = 2.62e-13
type: snfs
lss: 1
rlim: 100000000
alim: 100000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
Factor base limits: 100000000/100000000
Large primes per side: 3
Large prime bits: 30/30
Sieved rational special-q in [0, 0)
Total raw relations: 100102432
Relations: 17838108 relations
Pruned matrix : 12586165 x 12586390
Polynomial selection time: 0.00 hours.
Total sieving time: 8600.81 hours.
Total relation processing time: 1.25 hours.
Matrix solve time: 115.74 hours.
time per square root: 2.67 hours.
Prototype def-par.txt line would be: snfs,244,6,0,0,0,0,0,0,0,0,100000000,100000000,30,30,60,60,2.7,2.7,100000
total time: 8520.48 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62350500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
1850Wataru SakaiOctober 9, 2010 03:41:22 UTC 2010 年 10 月 9 日 (土) 12 時 41 分 22 秒 (日本時間)
4511e60--
5043e60--
5511e73660 / 17751200Dmitry DomanovMarch 19, 2011 21:50:12 UTC 2011 年 3 月 20 日 (日) 6 時 50 分 12 秒 (日本時間)
200Dmitry DomanovApril 15, 2011 05:44:11 UTC 2011 年 4 月 15 日 (金) 14 時 44 分 11 秒 (日本時間)
150Dmitry DomanovApril 17, 2011 09:42:15 UTC 2011 年 4 月 17 日 (日) 18 時 42 分 15 秒 (日本時間)
3110yoyo@homeJune 22, 2011 05:20:34 UTC 2011 年 6 月 22 日 (水) 14 時 20 分 34 秒 (日本時間)

7×10244-619

c235

composite cofactor 合成数の残り
6870865565904748718140621979013840427091299601978835941938963341249525515569264616703151399612360429161876165457627396642948618357220411315790299557085483731318665827468176727518704474143511538802900806296653274734245474051089661126691<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62350500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
1850Wataru SakaiOctober 9, 2010 03:41:04 UTC 2010 年 10 月 9 日 (土) 12 時 41 分 4 秒 (日本時間)
4511e60--
5043e6800Dmitry DomanovApril 15, 2011 05:49:12 UTC 2011 年 4 月 15 日 (金) 14 時 49 分 12 秒 (日本時間)
5511e73915 / 17454150Dmitry DomanovApril 17, 2011 09:36:43 UTC 2011 年 4 月 17 日 (日) 18 時 36 分 43 秒 (日本時間)
2765yoyo@homeJune 22, 2011 12:46:05 UTC 2011 年 6 月 22 日 (水) 21 時 46 分 5 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 16:00:26 UTC 2016 年 8 月 15 日 (月) 1 時 0 分 26 秒 (日本時間)
6026e75 / 40441Dmitry DomanovApril 17, 2011 09:41:54 UTC 2011 年 4 月 17 日 (日) 18 時 41 分 54 秒 (日本時間)

7×10245-619

c190

composite cofactor 合成数の残り
4896492302794062246879233268469357367327869861161383431327926204706946057825602042503277343766188970515782097824002575396893596799778819171716967611567326126441702437537378357470683541300481<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerDecember 17, 2010 13:24:32 UTC 2010 年 12 月 17 日 (金) 22 時 24 分 32 秒 (日本時間)
5043e61080500Dmitry DomanovJuly 1, 2011 23:24:51 UTC 2011 年 7 月 2 日 (土) 8 時 24 分 51 秒 (日本時間)
580Dmitry DomanovJuly 16, 2011 21:57:34 UTC 2011 年 7 月 17 日 (日) 6 時 57 分 34 秒 (日本時間)
5511e73635 / 173432635yoyo@homeNovember 20, 2011 08:35:05 UTC 2011 年 11 月 20 日 (日) 17 時 35 分 5 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 16:00:32 UTC 2016 年 8 月 15 日 (月) 1 時 0 分 32 秒 (日本時間)

7×10246-619

c195

name 名前RAZIELakaALIN
date 日付November 22, 2011 02:27:17 UTC 2011 年 11 月 22 日 (火) 11 時 27 分 17 秒 (日本時間)
composite number 合成数
120918408690002566983444199941025496669861557189613689483249272344249096278621983613759006436996063600625439902293800756775846009748320801176379451293362669108644702209676879900596046859510724987<195>
prime factors 素因数
366728071517839853119052398396283742754359685837<48>
composite cofactor 合成数の残り
329722260391840143843397664394687242102189592445787324124155864959319508083320078793168009654633072755702635210439193641809043405618357253434862951<147>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 120918408690002566983444199941025496669861557189613689483249272344249096278621983613759006436996063600625439902293800756775846009748320801176379451293362669108644702209676879900596046859510724987 (195 digits)
[Mon Nov 21 21:47:04 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=113708337
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35 40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 853949ms
Using 24 small primes for NTT
Estimated memory usage: 721M
Initializing tables of differences for F took 514ms
Computing roots of F took 22106ms
Building F from its roots took 12948ms
Computing 1/F took 5382ms
Initializing table of differences for G took 453ms
Computing roots of G took 18455ms
Building G from its roots took 12542ms
Computing roots of G took 18424ms
Building G from its roots took 12386ms
Computing G * H took 3136ms
Reducing  G * H mod F took 3292ms
Computing roots of G took 18408ms
Building G from its roots took 12542ms
Computing G * H took 3136ms
Reducing  G * H mod F took 3323ms
Computing roots of G took 18455ms
Building G from its roots took 12308ms
Computing G * H took 3042ms
Reducing  G * H mod F took 3276ms
Computing polyeval(F,G) took 27737ms
Computing product of all F(g_i) took 109ms
Step 2 took 212770ms
********** Factor found in step 2: 366728071517839853119052398396283742754359685837
Found probable prime factor of 48 digits: 366728071517839853119052398396283742754359685837
Composite cofactor 329722260391840143843397664394687242102189592445787324124155864959319508083320078793168009654633072755702635210439193641809043405618357253434862951 has 147 digits
software ソフトウェア
GMP-ECM

c147

name 名前Erik Branger
date 日付May 10, 2012 10:36:01 UTC 2012 年 5 月 10 日 (木) 19 時 36 分 1 秒 (日本時間)
composite number 合成数
329722260391840143843397664394687242102189592445787324124155864959319508083320078793168009654633072755702635210439193641809043405618357253434862951<147>
prime factors 素因数
5014056555060895901216922775394736808864953554835279126979208208475621<70>
65759581442901306658234244499116222252476286177113469671353113452003762704731<77>
factorization results 素因数分解の結果
Number: 77771_246
N = 329722260391840143843397664394687242102189592445787324124155864959319508083320078793168009654633072755702635210439193641809043405618357253434862951 (147 digits)
Divisors found:
r1=5014056555060895901216922775394736808864953554835279126979208208475621 (pp70)
r2=65759581442901306658234244499116222252476286177113469671353113452003762704731 (pp77)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 782.95 hours.
Factorization parameters were as follows:
# Murphy_E = 8.852e-12, selected by Dmitry Domanov
n: 329722260391840143843397664394687242102189592445787324124155864959319508083320078793168009654633072755702635210439193641809043405618357253434862951
Y0: -45558245446301877048146442113
Y1: 21556224448370579
c0: 88478514960589560844695426828052021680
c1: -60065549642154620761096566868206
c2: -2439937908816531145559375
c3: 1386429351567074798
c4: 33000523252
c5: 1680
skew: 10193284.21
type: gnfs
# selected mechanically
rlim: 27000000
alim: 27000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 27000000/27000000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [13500000, 24600000)
Relations: 41261593
Relations in full relation-set: 6211806 relations
Pruned matrix : 3754059 x 3754287
Polynomial selection time: 0.00 hours.
Total sieving time: 766.77 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 15.55 hours.
time per square root: 0.34 hours.
Prototype def-par.txt line would be: gnfs,146,5,65,2000,1e-05,0.28,250,20,50000,3600,27000000,27000000,29,29,57,57,2.6,2.6,100000
total time: 782.95 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerDecember 17, 2010 18:44:20 UTC 2010 年 12 月 18 日 (土) 3 時 44 分 20 秒 (日本時間)
5043e61140 / 3229300Dmitry DomanovJune 30, 2011 20:16:37 UTC 2011 年 7 月 1 日 (金) 5 時 16 分 37 秒 (日本時間)
840Dmitry DomanovJuly 16, 2011 22:00:04 UTC 2011 年 7 月 17 日 (日) 7 時 0 分 4 秒 (日本時間)
5511e71730 / 17321yoyo@homeNovember 20, 2011 10:00:04 UTC 2011 年 11 月 20 日 (日) 19 時 0 分 4 秒 (日本時間)

7×10247-619

c206

name 名前Dmitry Domanov
date 日付July 17, 2011 11:08:23 UTC 2011 年 7 月 17 日 (日) 20 時 8 分 23 秒 (日本時間)
composite number 合成数
58817824821555480000985097845681643790299926958075927609726200049150033873561035186281867904512965825933789836541889954291773471729887857890189057924374162263671255359511914235244397450114514176905095725391<206>
prime factors 素因数
2393149868940045990047144254613901812096451131<46>
24577576851719103216836664371998307402915285015945803258582594378826859543762275571487878314560605050508966882178016444816614569874248322349839092512110534334461<161>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=196199681
Step 1 took 391531ms
Step 2 took 100449ms
********** Factor found in step 2: 2393149868940045990047144254613901812096451131
Found probable prime factor of 46 digits: 2393149868940045990047144254613901812096451131
Probable prime cofactor 24577576851719103216836664371998307402915285015945803258582594378826859543762275571487878314560605050508966882178016444816614569874248322349839092512110534334461 has 161 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerJanuary 25, 2011 16:40:41 UTC 2011 年 1 月 26 日 (水) 1 時 40 分 41 秒 (日本時間)
5043e61220 / 7400500Dmitry DomanovJuly 1, 2011 23:24:10 UTC 2011 年 7 月 2 日 (土) 8 時 24 分 10 秒 (日本時間)
320Dmitry DomanovJuly 16, 2011 10:17:00 UTC 2011 年 7 月 16 日 (土) 19 時 17 分 0 秒 (日本時間)
400Dmitry DomanovJuly 16, 2011 22:06:20 UTC 2011 年 7 月 17 日 (日) 7 時 6 分 20 秒 (日本時間)

7×10249-619

c229

name 名前Serge Batalov
date 日付October 4, 2010 14:43:37 UTC 2010 年 10 月 4 日 (月) 23 時 43 分 37 秒 (日本時間)
composite number 合成数
1757356552514892761668637839860824402691543396391048165883349046084262798601029652626937740972650462491381089235570227964899297080129699417044770883803308098222700266592621477703559667619330975619588278197563542161480549821277117<229>
prime factors 素因数
364425891723476751536231<24>
composite cofactor 合成数の残り
4822260416799253871512006001007393135015912999891206048366848602685051828273515524105823653779779006615772479077780379083737988036424482366769082445562259349024218083546948823449432383245237390797857768507<205>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1707483900
Step 1 took 12133ms
Step 2 took 5248ms
********** Factor found in step 2: 364425891723476751536231
Found probable prime factor of 24 digits: 364425891723476751536231
Composite cofactor has 205 digits

c205

name 名前Erik Branger
date 日付February 3, 2011 12:57:13 UTC 2011 年 2 月 3 日 (木) 21 時 57 分 13 秒 (日本時間)
composite number 合成数
4822260416799253871512006001007393135015912999891206048366848602685051828273515524105823653779779006615772479077780379083737988036424482366769082445562259349024218083546948823449432383245237390797857768507<205>
prime factors 素因数
33189584243724319384712155328529187<35>
composite cofactor 合成数の残り
145294390595178216553894508733786325210780372968189811257755168658902491014709182941058218769175454108268078889248160729061414165528547338713903456167633016891796584036361<171>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 4822260416799253871512006001007393135015912999891206048366848602685051828273515524105823653779779006615772479077780379083737988036424482366769082445562259349024218083546948823449432383245237390797857768507 (205 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1900117495
Step 1 took 72524ms
Step 2 took 36318ms
********** Factor found in step 2: 33189584243724319384712155328529187
Found probable prime factor of 35 digits: 33189584243724319384712155328529187
Composite cofactor 145294390595178216553894508733786325210780372968189811257755168658902491014709182941058218769175454108268078889248160729061414165528547338713903456167633016891796584036361 has 171 digits
software ソフトウェア
GMP-ECM

c171

name 名前Markus Tervooren
date 日付July 7, 2012 17:47:49 UTC 2012 年 7 月 8 日 (日) 2 時 47 分 49 秒 (日本時間)
composite number 合成数
145294390595178216553894508733786325210780372968189811257755168658902491014709182941058218769175454108268078889248160729061414165528547338713903456167633016891796584036361<171>
prime factors 素因数
26112272777797042695012617007883558729256843928658168424852241035413757641<74>
5564218474261662959248351948434064915546566703065970891024030751679204473960490771769962355289921<97>
factorization results 素因数分解の結果
sieving took ~173 cpu-days on Phenom 2 1090T (4Ghz), 0,09s/relation, 14e siever (-J 14)

Sat Jun 30 15:18:34 2012  Msieve v. 1.50 (SVN exported)
Sat Jun 30 15:18:34 2012  random seeds: e4ebeaef 320d6bdc
Sat Jun 30 15:18:34 2012  factoring 145294390595178216553894508733786325210780372968189811257755168658902491014709182941058218769175454108268078889248160729061414165528547338713903456167633016891796584036361 (171 digits)
Sat Jun 30 15:18:34 2012  searching for 15-digit factors
Sat Jun 30 15:18:35 2012  commencing number field sieve (171-digit input)
Sat Jun 30 15:18:35 2012  R0: -1173313188270326039510934058838290
Sat Jun 30 15:18:35 2012  R1: 935290946562735287
Sat Jun 30 15:18:35 2012  A0: -2194666214323181529715082839224408611554437
Sat Jun 30 15:18:35 2012  A1: 594824303609461696579665885855397058
Sat Jun 30 15:18:35 2012  A2: 24383520131362661579821517546
Sat Jun 30 15:18:35 2012  A3: -401317455485371309018
Sat Jun 30 15:18:35 2012  A4: -8242097146689
Sat Jun 30 15:18:35 2012  A5: 65340
Sat Jun 30 15:18:35 2012  skew 1.00, size 1.535e-16, alpha -7.621, combined = 1.079e-15 rroots = 5
Sat Jun 30 15:18:35 2012
Sat Jun 30 15:18:35 2012  commencing relation filtering
Sat Jun 30 15:18:35 2012  estimated available RAM is 32089.8 MB
Sat Jun 30 15:18:35 2012  commencing duplicate removal, pass 1
-- snipped 100´s of errors
Sat Jun 30 15:48:44 2012  skipped 4 relations with b > 2^32
Sat Jun 30 15:48:44 2012  found 22230419 hash collisions in 166304276 relations
Sat Jun 30 15:49:13 2012  added 1 free relations
Sat Jun 30 15:49:13 2012  commencing duplicate removal, pass 2
Sat Jun 30 15:57:34 2012  found 19572619 duplicates and 146731658 unique relations
Sat Jun 30 15:57:34 2012  memory use: 788.8 MB
Sat Jun 30 15:57:34 2012  reading ideals above 120782848
Sat Jun 30 15:57:34 2012  commencing singleton removal, initial pass
Sat Jun 30 16:26:28 2012  memory use: 3012.0 MB
Sat Jun 30 16:26:28 2012  reading all ideals from disk
Sat Jun 30 16:26:38 2012  memory use: 2477.2 MB
Sat Jun 30 16:26:43 2012  commencing in-memory singleton removal
Sat Jun 30 16:26:48 2012  begin with 146731657 relations and 143334235 unique ideals
Sat Jun 30 16:27:41 2012  reduce to 62006171 relations and 45071300 ideals in 21 passes
Sat Jun 30 16:27:41 2012  max relations containing the same ideal: 49
Sat Jun 30 16:27:44 2012  reading ideals above 720000
Sat Jun 30 16:27:44 2012  commencing singleton removal, initial pass
Sat Jun 30 16:45:21 2012  memory use: 1506.0 MB
Sat Jun 30 16:45:21 2012  reading all ideals from disk
Sat Jun 30 16:45:22 2012  memory use: 2412.2 MB
Sat Jun 30 16:45:28 2012  keeping 58486847 ideals with weight <= 200, target excess is 332584
Sat Jun 30 16:45:34 2012  commencing in-memory singleton removal
Sat Jun 30 16:45:40 2012  begin with 62006171 relations and 58486847 unique ideals
Sat Jun 30 16:47:01 2012  reduce to 61690323 relations and 58170752 ideals in 15 passes
Sat Jun 30 16:47:01 2012  max relations containing the same ideal: 200
Sat Jun 30 16:47:30 2012  removing 4764123 relations and 4364123 ideals in 400000 cliques
Sat Jun 30 16:47:32 2012  commencing in-memory singleton removal
Sat Jun 30 16:47:37 2012  begin with 56926200 relations and 58170752 unique ideals
Sat Jun 30 16:48:31 2012  reduce to 56660242 relations and 53538183 ideals in 11 passes
Sat Jun 30 16:48:31 2012  max relations containing the same ideal: 196
Sat Jun 30 16:48:58 2012  removing 3448441 relations and 3048442 ideals in 400000 cliques
Sat Jun 30 16:48:59 2012  commencing in-memory singleton removal
Sat Jun 30 16:49:04 2012  begin with 53211801 relations and 53538183 unique ideals
Sat Jun 30 16:49:50 2012  reduce to 53055027 relations and 50331741 ideals in 10 passes
Sat Jun 30 16:49:50 2012  max relations containing the same ideal: 188
Sat Jun 30 16:50:15 2012  removing 3030164 relations and 2630164 ideals in 400000 cliques
Sat Jun 30 16:50:16 2012  commencing in-memory singleton removal
Sat Jun 30 16:50:20 2012  begin with 50024863 relations and 50331741 unique ideals
Sat Jun 30 16:51:04 2012  reduce to 49893872 relations and 47569596 ideals in 10 passes
Sat Jun 30 16:51:04 2012  max relations containing the same ideal: 181
Sat Jun 30 16:51:27 2012  removing 2800532 relations and 2400532 ideals in 400000 cliques
Sat Jun 30 16:51:28 2012  commencing in-memory singleton removal
Sat Jun 30 16:51:32 2012  begin with 47093340 relations and 47569596 unique ideals
Sat Jun 30 16:52:05 2012  reduce to 46972286 relations and 45047152 ideals in 8 passes
Sat Jun 30 16:52:05 2012  max relations containing the same ideal: 173
Sat Jun 30 16:52:27 2012  removing 2650148 relations and 2250148 ideals in 400000 cliques
Sat Jun 30 16:52:28 2012  commencing in-memory singleton removal
Sat Jun 30 16:52:31 2012  begin with 44322138 relations and 45047152 unique ideals
Sat Jun 30 16:53:06 2012  reduce to 44206219 relations and 42680156 ideals in 9 passes
Sat Jun 30 16:53:06 2012  max relations containing the same ideal: 170
Sat Jun 30 16:53:26 2012  removing 2540504 relations and 2140504 ideals in 400000 cliques
Sat Jun 30 16:53:27 2012  commencing in-memory singleton removal
Sat Jun 30 16:53:31 2012  begin with 41665715 relations and 42680156 unique ideals
Sat Jun 30 16:54:00 2012  reduce to 41550061 relations and 40423050 ideals in 8 passes
Sat Jun 30 16:54:00 2012  max relations containing the same ideal: 165
Sat Jun 30 16:54:19 2012  removing 2462987 relations and 2062987 ideals in 400000 cliques
Sat Jun 30 16:54:20 2012  commencing in-memory singleton removal
Sat Jun 30 16:54:23 2012  begin with 39087074 relations and 40423050 unique ideals
Sat Jun 30 16:54:50 2012  reduce to 38970491 relations and 38242492 ideals in 8 passes
Sat Jun 30 16:54:50 2012  max relations containing the same ideal: 158
Sat Jun 30 16:55:08 2012  removing 2114345 relations and 1772144 ideals in 342201 cliques
Sat Jun 30 16:55:09 2012  commencing in-memory singleton removal
Sat Jun 30 16:55:12 2012  begin with 36856146 relations and 38242492 unique ideals
Sat Jun 30 16:55:37 2012  reduce to 36763493 relations and 36376991 ideals in 8 passes
Sat Jun 30 16:55:37 2012  max relations containing the same ideal: 151
Sat Jun 30 16:56:00 2012  relations with 0 large ideals: 1130
Sat Jun 30 16:56:00 2012  relations with 1 large ideals: 1374
Sat Jun 30 16:56:00 2012  relations with 2 large ideals: 22691
Sat Jun 30 16:56:00 2012  relations with 3 large ideals: 223323
Sat Jun 30 16:56:00 2012  relations with 4 large ideals: 1215488
Sat Jun 30 16:56:00 2012  relations with 5 large ideals: 3940281
Sat Jun 30 16:56:00 2012  relations with 6 large ideals: 7993006
Sat Jun 30 16:56:00 2012  relations with 7+ large ideals: 23366200
Sat Jun 30 16:56:00 2012  commencing 2-way merge
Sat Jun 30 16:56:24 2012  reduce to 21808312 relation sets and 21421810 unique ideals
Sat Jun 30 16:56:24 2012  commencing full merge
Sat Jun 30 17:01:26 2012  memory use: 2518.8 MB
Sat Jun 30 17:01:28 2012  found 11762242 cycles, need 11710010
Sat Jun 30 17:01:32 2012  weight of 11710010 cycles is about 819702413 (70.00/cycle)
Sat Jun 30 17:01:32 2012  distribution of cycle lengths:
Sat Jun 30 17:01:32 2012  1 relations: 1751509
Sat Jun 30 17:01:32 2012  2 relations: 1599455
Sat Jun 30 17:01:32 2012  3 relations: 1493280
Sat Jun 30 17:01:32 2012  4 relations: 1310108
Sat Jun 30 17:01:32 2012  5 relations: 1131965
Sat Jun 30 17:01:32 2012  6 relations: 969899
Sat Jun 30 17:01:32 2012  7 relations: 811637
Sat Jun 30 17:01:32 2012  8 relations: 665248
Sat Jun 30 17:01:32 2012  9 relations: 537542
Sat Jun 30 17:01:32 2012  10+ relations: 1439367
Sat Jun 30 17:01:32 2012  heaviest cycle: 20 relations
Sat Jun 30 17:01:35 2012  commencing cycle optimization
Sat Jun 30 17:01:50 2012  start with 59212384 relations
Sat Jun 30 17:02:51 2012  pruned 978955 relations
Sat Jun 30 17:02:52 2012  memory use: 2104.5 MB
Sat Jun 30 17:02:52 2012  distribution of cycle lengths:
Sat Jun 30 17:02:52 2012  1 relations: 1751509
Sat Jun 30 17:02:52 2012  2 relations: 1628667
Sat Jun 30 17:02:52 2012  3 relations: 1534292
Sat Jun 30 17:02:52 2012  4 relations: 1326838
Sat Jun 30 17:02:52 2012  5 relations: 1146830
Sat Jun 30 17:02:52 2012  6 relations: 971786
Sat Jun 30 17:02:52 2012  7 relations: 809887
Sat Jun 30 17:02:52 2012  8 relations: 659552
Sat Jun 30 17:02:52 2012  9 relations: 529533
Sat Jun 30 17:02:52 2012  10+ relations: 1351116
Sat Jun 30 17:02:52 2012  heaviest cycle: 20 relations
Sat Jun 30 17:03:08 2012  RelProcTime: 6273

Tue Jul  3 03:49:34 2012
Tue Jul  3 03:49:34 2012
Tue Jul  3 03:49:34 2012  Msieve v. 1.50 (SVN exported)
Tue Jul  3 03:49:34 2012  random seeds: d1e25f1f 3489ed32
Tue Jul  3 03:49:34 2012  factoring 145294390595178216553894508733786325210780372968189811257755168658902491014709182941058218769175454108268078889248160729061414165528547338713903456167633016891796584036361 (171 digits)
Tue Jul  3 03:49:35 2012  searching for 15-digit factors
Tue Jul  3 03:49:35 2012  commencing number field sieve (171-digit input)
Tue Jul  3 03:49:35 2012  R0: -1173313188270326039510934058838290
Tue Jul  3 03:49:35 2012  R1: 935290946562735287
Tue Jul  3 03:49:35 2012  A0: -2194666214323181529715082839224408611554437
Tue Jul  3 03:49:35 2012  A1: 594824303609461696579665885855397058
Tue Jul  3 03:49:35 2012  A2: 24383520131362661579821517546
Tue Jul  3 03:49:35 2012  A3: -401317455485371309018
Tue Jul  3 03:49:35 2012  A4: -8242097146689
Tue Jul  3 03:49:35 2012  A5: 65340
Tue Jul  3 03:49:35 2012  skew 1.00, size 1.535e-16, alpha -7.621, combined = 1.079e-15 rroots = 5
Tue Jul  3 03:49:35 2012
Tue Jul  3 03:49:35 2012  commencing linear algebra
Tue Jul  3 03:49:38 2012  matrix starts at (0, 0)
Tue Jul  3 03:49:40 2012  matrix is 11700199 x 11700378 (3592.3 MB) with weight 1126106826 (96.25/col)
Tue Jul  3 03:49:40 2012  sparse part has weight 801293019 (68.48/col)
Tue Jul  3 03:49:40 2012  saving the first 48 matrix rows for later
Tue Jul  3 03:49:41 2012  matrix includes 64 packed rows
Tue Jul  3 03:49:42 2012  matrix is 11700151 x 11700378 (3487.7 MB) with weight 903530995 (77.22/col)
Tue Jul  3 03:49:42 2012  sparse part has weight 797272834 (68.14/col)
Tue Jul  3 03:49:42 2012  using block size 65536 for processor cache size 8192 kB
Tue Jul  3 03:50:12 2012  commencing Lanczos iteration (4 threads)
Tue Jul  3 03:50:12 2012  memory use: 3081.3 MB
Tue Jul  3 03:50:12 2012  restarting at iteration 62884 (dim = 3976295)
Tue Jul  3 03:51:31 2012  linear algebra at 34.0%, ETA 111h29m
Tue Jul  3 03:51:40 2012  checkpointing every 70000 dimensions
Sat Jul  7 16:57:14 2012  lanczos halted after 185028 iterations (dim = 11700151)
Sat Jul  7 16:57:24 2012  recovered 31 nontrivial dependencies
Sat Jul  7 16:57:24 2012  BLanczosTime: 392869
Sat Jul  7 16:57:24 2012  elapsed time 109:07:50
Sat Jul  7 17:58:40 2012
Sat Jul  7 17:58:40 2012  Msieve v. 1.50 (SVN exported)
Sat Jul  7 17:58:40 2012  random seeds: 4fc1eee2 f7c10a8a
Sat Jul  7 17:58:40 2012  factoring 145294390595178216553894508733786325210780372968189811257755168658902491014709182941058218769175454108268078889248160729061414165528547338713903456167633016891796584036361 (171 digits)
Sat Jul  7 17:58:41 2012  searching for 15-digit factors
Sat Jul  7 17:58:41 2012  commencing number field sieve (171-digit input)
Sat Jul  7 17:58:41 2012  R0: -1173313188270326039510934058838290
Sat Jul  7 17:58:41 2012  R1: 935290946562735287
Sat Jul  7 17:58:41 2012  A0: -2194666214323181529715082839224408611554437
Sat Jul  7 17:58:41 2012  A1: 594824303609461696579665885855397058
Sat Jul  7 17:58:41 2012  A2: 24383520131362661579821517546
Sat Jul  7 17:58:41 2012  A3: -401317455485371309018
Sat Jul  7 17:58:41 2012  A4: -8242097146689
Sat Jul  7 17:58:41 2012  A5: 65340
Sat Jul  7 17:58:41 2012  skew 1.00, size 1.535e-16, alpha -7.621, combined = 1.079e-15 rroots = 5
Sat Jul  7 17:58:41 2012
Sat Jul  7 17:58:41 2012  commencing square root phase
Sat Jul  7 17:58:41 2012  reading relations for dependency 1
Sat Jul  7 17:58:43 2012  read 5850948 cycles
Sat Jul  7 17:58:50 2012  cycles contain 18203968 unique relations
Sat Jul  7 18:09:59 2012  read 18203968 relations
Sat Jul  7 18:11:16 2012  multiplying 18203968 relations
Sat Jul  7 18:30:58 2012  multiply complete, coefficients have about 999.04 million bits
Sat Jul  7 18:31:04 2012  initial square root is modulo 918103327
Sat Jul  7 18:54:13 2012  sqrtTime: 3332
Sat Jul  7 18:54:13 2012  prp74 factor: 26112272777797042695012617007883558729256843928658168424852241035413757641
Sat Jul  7 18:54:13 2012  prp97 factor: 5564218474261662959248351948434064915546566703065970891024030751679204473960490771769962355289921
Sat Jul  7 18:54:13 2012  elapsed time 00:55:33
software ソフトウェア
Msieve 1.50,
ggnfs sievers

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerFebruary 3, 2011 12:56:50 UTC 2011 年 2 月 3 日 (木) 21 時 56 分 50 秒 (日本時間)
5043e61200Dmitry DomanovFebruary 6, 2011 20:11:51 UTC 2011 年 2 月 7 日 (月) 5 時 11 分 51 秒 (日本時間)
5511e710085 / 173002585yoyo@homeMay 1, 2011 14:31:13 UTC 2011 年 5 月 1 日 (日) 23 時 31 分 13 秒 (日本時間)
4500Markus TervoorenJune 11, 2012 21:29:33 UTC 2012 年 6 月 12 日 (火) 6 時 29 分 33 秒 (日本時間)
3000Markus TervoorenJune 17, 2012 10:18:41 UTC 2012 年 6 月 17 日 (日) 19 時 18 分 41 秒 (日本時間)

7×10250-619

c248

composite cofactor 合成数の残り
40721349621873182082606166375799883653286794648051192553810354857475276323443862710878417684700407213496218731820826061663757998836532867946480511925538103548574752763234438627108784176847004072134962187318208260616637579988365328679464805119255381<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62350500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
1850Wataru SakaiOctober 9, 2010 03:40:49 UTC 2010 年 10 月 9 日 (土) 12 時 40 分 49 秒 (日本時間)
4511e60--
5043e61150600Dmitry DomanovMarch 5, 2011 19:00:07 UTC 2011 年 3 月 6 日 (日) 4 時 0 分 7 秒 (日本時間)
350Dmitry DomanovMarch 8, 2011 23:22:25 UTC 2011 年 3 月 9 日 (水) 8 時 22 分 25 秒 (日本時間)
200Dmitry DomanovMarch 9, 2011 22:13:25 UTC 2011 年 3 月 10 日 (木) 7 時 13 分 25 秒 (日本時間)
5511e73630 / 173412630yoyo@homeJune 22, 2011 17:43:10 UTC 2011 年 6 月 23 日 (木) 2 時 43 分 10 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 16:00:47 UTC 2016 年 8 月 15 日 (月) 1 時 0 分 47 秒 (日本時間)

7×10252-619

c219

name 名前Dmitry Domanov
date 日付July 3, 2011 20:02:42 UTC 2011 年 7 月 4 日 (月) 5 時 2 分 42 秒 (日本時間)
composite number 合成数
192003666182059353925372718729258078879573325357531154654952315268721427893107353506199396396340428803623381850276689489611416927482869423298675040455345303501722353585299237924784865508439492630923042349501410148453529<219>
prime factors 素因数
5961059684953545313785068164656221013983<40>
composite cofactor 合成数の残り
32209653371983582691784428455254987146995943631697688511021715273149581088543044234224358921485741003314238533657050105296649407515630403843933560529215012925039009055291705072263<179>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2972811789
Step 1 took 465045ms
Step 2 took 110920ms
********** Factor found in step 2: 5961059684953545313785068164656221013983
Found probable prime factor of 40 digits: 5961059684953545313785068164656221013983
Composite cofactor 32209653371983582691784428455254987146995943631697688511021715273149581088543044234224358921485741003314238533657050105296649407515630403843933560529215012925039009055291705072263 has 179 digits

c179

name 名前shauge
date 日付November 23, 2011 01:22:03 UTC 2011 年 11 月 23 日 (水) 10 時 22 分 3 秒 (日本時間)
composite number 合成数
32209653371983582691784428455254987146995943631697688511021715273149581088543044234224358921485741003314238533657050105296649407515630403843933560529215012925039009055291705072263<179>
prime factors 素因数
119993819892132294072427554142178976681217246788601<51>
268427602362673780752081019738775520402927572303865819882102924130314166110054224467562991561040920629756761063097640506671950463<129>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 32209653371983582691784428455254987146995943631697688511021715273149581088543044234224358921485741003314238533657050105296649407515630403843933560529215012925039009055291705072263 (179 digits)
[Tue Nov 22 09:45:38 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=243273973
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35 40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 366712ms
Using 22 small primes for NTT
Estimated memory usage: 664M
Initializing tables of differences for F took 234ms
Computing roots of F took 12761ms
Building F from its roots took 8830ms
Computing 1/F took 3494ms
Initializing table of differences for G took 202ms
Computing roots of G took 10749ms
Building G from its roots took 8440ms
Computing roots of G took 10733ms
Building G from its roots took 8268ms
Computing G * H took 1997ms
Reducing  G * H mod F took 1872ms
Computing roots of G took 10764ms
Building G from its roots took 8237ms
Computing G * H took 1982ms
Reducing  G * H mod F took 1872ms
Computing roots of G took 10748ms
Building G from its roots took 8284ms
Computing G * H took 1996ms
Reducing  G * H mod F took 1857ms
Computing polyeval(F,G) took 17644ms
Computing product of all F(g_i) took 78ms
Step 2 took 131633ms
********** Factor found in step 2: 119993819892132294072427554142178976681217246788601
Found probable prime factor of 51 digits: 119993819892132294072427554142178976681217246788601
Probable prime cofactor 268427602362673780752081019738775520402927572303865819882102924130314166110054224467562991561040920629756761063097640506671950463 has 129 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
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerFebruary 3, 2011 13:14:55 UTC 2011 年 2 月 3 日 (木) 22 時 14 分 55 秒 (日本時間)
5043e61075 / 3555500Dmitry DomanovJuly 1, 2011 23:23:23 UTC 2011 年 7 月 2 日 (土) 8 時 23 分 23 秒 (日本時間)
575Dmitry DomanovJuly 15, 2011 21:13:29 UTC 2011 年 7 月 16 日 (土) 6 時 13 分 29 秒 (日本時間)
5511e71595 / 17344yoyo@homeNovember 20, 2011 12:25:04 UTC 2011 年 11 月 20 日 (日) 21 時 25 分 4 秒 (日本時間)

7×10258-619

c203

composite cofactor 合成数の残り
12711500440698408446055398246417569928435142218295426275007056041896622901114386739150315780366607957778996900675515705197395056198005322924884458318915088963893999343170869636876191461399649436566256977<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerFebruary 3, 2011 13:15:26 UTC 2011 年 2 月 3 日 (木) 22 時 15 分 26 秒 (日本時間)
5043e61100500Dmitry DomanovJuly 1, 2011 23:22:58 UTC 2011 年 7 月 2 日 (土) 8 時 22 分 58 秒 (日本時間)
600Dmitry DomanovJuly 16, 2011 10:16:02 UTC 2011 年 7 月 16 日 (土) 19 時 16 分 2 秒 (日本時間)
5511e73625 / 173352625yoyo@homeNovember 26, 2011 13:55:04 UTC 2011 年 11 月 26 日 (土) 22 時 55 分 4 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 16:01:04 UTC 2016 年 8 月 15 日 (月) 1 時 1 分 4 秒 (日本時間)

7×10259-619

c172

name 名前RSALS + Dmitry Domanov
date 日付September 11, 2012 07:31:50 UTC 2012 年 9 月 11 日 (火) 16 時 31 分 50 秒 (日本時間)
composite number 合成数
6911144627177181495722721975474188229407463728354254061656506832909217337076845057324766927128471504338667698077393842233349510782376398435176967319869143485152002871249197<172>
prime factors 素因数
208664383903446640874002097251674227803774570476654994868986386923<66>
33120863742492404200684454141455637642384088746644436407001469752296423826643442154117686999772175883930439<107>
factorization results 素因数分解の結果
prp66 factor: 208664383903446640874002097251674227803774570476654994868986386923
prp107 factor: 33120863742492404200684454141455637642384088746644436407001469752296423826643442154117686999772175883930439
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62350500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
1850Serge BatalovOctober 6, 2010 02:00:32 UTC 2010 年 10 月 6 日 (水) 11 時 0 分 32 秒 (日本時間)
4511e60--
5043e6114020Lionel DebrouxOctober 7, 2010 20:14:07 UTC 2010 年 10 月 8 日 (金) 5 時 14 分 7 秒 (日本時間)
320Dmitry DomanovNovember 30, 2010 19:49:02 UTC 2010 年 12 月 1 日 (水) 4 時 49 分 2 秒 (日本時間)
800Dmitry DomanovDecember 2, 2010 07:09:30 UTC 2010 年 12 月 2 日 (木) 16 時 9 分 30 秒 (日本時間)
5511e72635 / 17344yoyo@homeMarch 3, 2011 00:25:20 UTC 2011 年 3 月 3 日 (木) 9 時 25 分 20 秒 (日本時間)

7×10260-619

c230

composite cofactor 合成数の残り
43884541941040882993214447766697149745054938695378886423230954245282835110543639332978103217636397476504373449787348037167527746072331219501166939504225011700814701851375887079005767004561561836333144551270348039297866795615624739<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerFebruary 3, 2011 16:58:47 UTC 2011 年 2 月 4 日 (金) 1 時 58 分 47 秒 (日本時間)
5043e61080400Dmitry DomanovJune 30, 2011 20:15:23 UTC 2011 年 7 月 1 日 (金) 5 時 15 分 23 秒 (日本時間)
680Dmitry DomanovJuly 15, 2011 19:48:21 UTC 2011 年 7 月 16 日 (土) 4 時 48 分 21 秒 (日本時間)
5511e73635 / 173432635yoyo@homeNovember 26, 2011 20:20:05 UTC 2011 年 11 月 27 日 (日) 5 時 20 分 5 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 16:01:11 UTC 2016 年 8 月 15 日 (月) 1 時 1 分 11 秒 (日本時間)

7×10261-619

c252

composite cofactor 合成数の残り
129784290128892542456823050553162994311130855024594781078479154658538611641850013782028307539974867870336711324592296167276324392585677578078970519705243596234306752777785968557030876563912615349657509718036606325417562114836484224713388619943217533469<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62350500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
1850Wataru SakaiOctober 9, 2010 03:40:29 UTC 2010 年 10 月 9 日 (土) 12 時 40 分 29 秒 (日本時間)
4511e624001200Dmitry DomanovFebruary 5, 2011 09:19:55 UTC 2011 年 2 月 5 日 (土) 18 時 19 分 55 秒 (日本時間)
1200Dmitry DomanovFebruary 6, 2011 09:17:35 UTC 2011 年 2 月 6 日 (日) 18 時 17 分 35 秒 (日本時間)
5043e6500Dmitry DomanovFebruary 6, 2011 21:58:09 UTC 2011 年 2 月 7 日 (月) 6 時 58 分 9 秒 (日本時間)
5511e73680 / 174222680yoyo@homeMay 1, 2011 17:00:58 UTC 2011 年 5 月 2 日 (月) 2 時 0 分 58 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 16:01:25 UTC 2016 年 8 月 15 日 (月) 1 時 1 分 25 秒 (日本時間)

7×10265-619

c201

name 名前GRB IV
date 日付November 28, 2011 01:49:14 UTC 2011 年 11 月 28 日 (月) 10 時 49 分 14 秒 (日本時間)
composite number 合成数
558459207176089048770068597832412940504805947530512294141807347257710480995847064958928200536273032242561357824524528918919578006582247487295093992748917402087012828998895122936989013395129685768271351<201>
prime factors 素因数
25416294732508034189835383739304031313707856994829<50>
composite cofactor 合成数の残り
21972487062081739559000304805723941987325774528723768254996011147655358878278180253048097377377652836542278149974594930092691721885816633769121322822419<152>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 558459207176089048770068597832412940504805947530512294141807347257710480995847064958928200536273032242561357824524528918919578006582247487295093992748917402087012828998895122936989013395129685768271351 (201 digits)
[Sun Nov 27 07:27:36 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=2839405427
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35  40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 577468ms
Using 24 small primes for NTT
Estimated memory usage: 721M
Initializing tables of differences for F took 390ms
Computing roots of F took 18517ms
Building F from its roots took 13478ms
Computing 1/F took 5195ms
Initializing table of differences for G took 328ms
Computing roots of G took 15413ms
Building G from its roots took 12979ms
Computing roots of G took 15288ms
Building G from its roots took 13041ms
Computing G * H took 2839ms
Reducing  G * H mod F took 2824ms
Computing roots of G took 15366ms
Building G from its roots took 13167ms
Computing G * H took 2886ms
Reducing  G * H mod F took 2824ms
Computing roots of G took 15335ms
Building G from its roots took 13042ms
Computing G * H took 2902ms
Reducing  G * H mod F took 2777ms
Computing polyeval(F,G) took 26957ms
Computing product of all F(g_i) took 94ms
Step 2 took 196437ms
********** Factor found in step 2: 25416294732508034189835383739304031313707856994829
Found probable prime factor of 50 digits: 25416294732508034189835383739304031313707856994829
Composite cofactor 21972487062081739559000304805723941987325774528723768254996011147655358878278180253048097377377652836542278149974594930092691721885816633769121322822419 has 152 digits
software ソフトウェア
GMP-ECM

c152

name 名前Erik Branger
date 日付May 28, 2012 19:12:16 UTC 2012 年 5 月 29 日 (火) 4 時 12 分 16 秒 (日本時間)
composite number 合成数
21972487062081739559000304805723941987325774528723768254996011147655358878278180253048097377377652836542278149974594930092691721885816633769121322822419<152>
prime factors 素因数
413635894519527822306870099709527242601051976037<48>
53120358637164683092212976545777567729031311792857479684205230822149089325471186534511539526016052305687<104>
factorization results 素因数分解の結果
Number: 77771_265
N = 21972487062081739559000304805723941987325774528723768254996011147655358878278180253048097377377652836542278149974594930092691721885816633769121322822419 (152 digits)
Divisors found:
r1=413635894519527822306870099709527242601051976037 (pp48)
r2=53120358637164683092212976545777567729031311792857479684205230822149089325471186534511539526016052305687 (pp104)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 1421.31 hours.
Factorization parameters were as follows:
# Murphy_E = 5.042e-12, selected by Erik Branger
n: 21972487062081739559000304805723941987325774528723768254996011147655358878278180253048097377377652836542278149974594930092691721885816633769121322822419
Y0: -273476974678452593687270845288
Y1: 1296762550686313
c0: 2370370133693779252870002695249295699
c1: -2025375485750321760966854872255
c2: 760139136297615459161933
c3: 942229059694303635
c4: -94378254768
c5: 14364
skew: 3602837.59
type: gnfs
# selected mechanically
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [18500000, 37600000)
Relations: 46050037
Relations in full relation-set: 6843728 relations
Pruned matrix : 4433212 x 4433438
Polynomial selection time: 0.00 hours.
Total sieving time: 1400.67 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 19.96 hours.
time per square root: 0.38 hours.
Prototype def-par.txt line would be: gnfs,151,5,65,2000,1e-05,0.28,250,20,50000,3600,37000000,37000000,29,29,58,58,2.6,2.6,100000
total time: 1421.31 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerFebruary 4, 2011 05:48:49 UTC 2011 年 2 月 4 日 (金) 14 時 48 分 49 秒 (日本時間)
5043e61080440Dmitry DomanovJune 30, 2011 20:14:39 UTC 2011 年 7 月 1 日 (金) 5 時 14 分 39 秒 (日本時間)
640Dmitry DomanovJuly 12, 2011 13:50:04 UTC 2011 年 7 月 12 日 (火) 22 時 50 分 4 秒 (日本時間)
5511e73360 / 17343725yoyo@homeNovember 27, 2011 02:20:06 UTC 2011 年 11 月 27 日 (日) 11 時 20 分 6 秒 (日本時間)
2635yoyo@homeApril 14, 2012 06:13:49 UTC 2012 年 4 月 14 日 (土) 15 時 13 分 49 秒 (日本時間)

7×10267-619

c250

composite cofactor 合成数の残り
1519639522006220003365995065451141043079930687892612602310417623589185506843566471619774549690173830875852757346697729556409417119061663339556244682515480882989749536111327033500145389744901436773904544939688463460460649132632057966375849607600016151<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerFebruary 4, 2011 05:49:09 UTC 2011 年 2 月 4 日 (金) 14 時 49 分 9 秒 (日本時間)
5043e61080360Dmitry DomanovJune 30, 2011 20:13:56 UTC 2011 年 7 月 1 日 (金) 5 時 13 分 56 秒 (日本時間)
720Dmitry DomanovJuly 14, 2011 21:08:00 UTC 2011 年 7 月 15 日 (金) 6 時 8 分 0 秒 (日本時間)
5511e73635 / 173432635yoyo@homeNovember 27, 2011 05:20:05 UTC 2011 年 11 月 27 日 (日) 14 時 20 分 5 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 16:02:06 UTC 2016 年 8 月 15 日 (月) 1 時 2 分 6 秒 (日本時間)

7×10268-619

c251

composite cofactor 合成数の残り
35427205962514322461332680667565746472442672952080937797983489876282911735687497902036180173567770483956976129927883838887310244105254889011895781407159386801415256378244328930337603689401132902180301131878083917020194947213733796077069792681038191213<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerFebruary 4, 2011 05:49:30 UTC 2011 年 2 月 4 日 (金) 14 時 49 分 30 秒 (日本時間)
5043e61080360Dmitry DomanovJune 30, 2011 20:13:24 UTC 2011 年 7 月 1 日 (金) 5 時 13 分 24 秒 (日本時間)
720Dmitry DomanovJuly 14, 2011 21:08:46 UTC 2011 年 7 月 15 日 (金) 6 時 8 分 46 秒 (日本時間)
5511e73635 / 173432635yoyo@homeNovember 27, 2011 07:05:17 UTC 2011 年 11 月 27 日 (日) 16 時 5 分 17 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 16:02:14 UTC 2016 年 8 月 15 日 (月) 1 時 2 分 14 秒 (日本時間)

7×10269-619

c262

name 名前VictordeHollander
date 日付May 3, 2011 00:49:07 UTC 2011 年 5 月 3 日 (火) 9 時 49 分 7 秒 (日本時間)
composite number 合成数
2650913303823139214033819905061932965620604537219139001763830610926791215586785510745615303240794153487963605777880648362042137425792084469065066845032232208704950194697653055942371144320919837226197626488110538328273554045421134823644224379255229467088754171747<262>
prime factors 素因数
8394321816420695940817500509062061028455226220999<49>
315798388696214850216151765498164162382840146754048150897310477367631933101098198901697369626776238155297035631742505909415270726297831222862965888300855729081548723606294766319093118605312262944854760753240741253<213>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1 and --enable-asm-redc] [ECM]
Input number is 2650913303823139214033819905061932965620604537219139001763830610926791215586785510745615303240794153487963605777880648362042137425792084469065066845032232208704950194697653055942371144320919837226197626488110538328273554045421134823644224379255229467088754171747 (262 digits)
[Mon May 02 19:05:53 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1704699520
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 713611ms
Using 31 small primes for NTT
Estimated memory usage: 897M
Initializing tables of differences for F took 468ms
Computing roots of F took 18970ms
Building F from its roots took 10342ms
Computing 1/F took 4524ms
Initializing table of differences for G took 390ms
Computing roots of G took 15943ms
Building G from its roots took 10374ms
Computing roots of G took 15943ms
Building G from its roots took 10390ms
Computing G * H took 2433ms
Reducing  G * H mod F took 2325ms
Computing roots of G took 15943ms
Building G from its roots took 10343ms
Computing G * H took 2433ms
Reducing  G * H mod F took 2356ms
Computing roots of G took 15943ms
Building G from its roots took 10359ms
Computing G * H took 2433ms
Reducing  G * H mod F took 2356ms
Computing polyeval(F,G) took 19562ms
Computing product of all F(g_i) took 94ms
Step 2 took 174394ms
********** Factor found in step 2: 8394321816420695940817500509062061028455226220999
Found probable prime factor of 49 digits: 8394321816420695940817500509062061028455226220999
Probable prime cofactor 315798388696214850216151765498164162382840146754048150897310477367631933101098198901697369626776238155297035631742505909415270726297831222862965888300855729081548723606294766319093118605312262944854760753240741253 has 213 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
403e62350500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
1850Wataru SakaiOctober 8, 2010 05:53:26 UTC 2010 年 10 月 8 日 (金) 14 時 53 分 26 秒 (日本時間)
4511e60--
5043e6800 / 4427Dmitry DomanovMarch 3, 2011 21:43:52 UTC 2011 年 3 月 4 日 (金) 6 時 43 分 52 秒 (日本時間)
5511e71260 / 17465160Dmitry DomanovFebruary 25, 2011 23:48:10 UTC 2011 年 2 月 26 日 (土) 8 時 48 分 10 秒 (日本時間)
1100yoyo@homeMay 1, 2011 21:31:10 UTC 2011 年 5 月 2 日 (月) 6 時 31 分 10 秒 (日本時間)

7×10270-619

c230

composite cofactor 合成数の残り
85347397747939908570722543959723523344453134811731476010578200720635232747864372091280421220281536215659479510701006891441627682602210156982446204866991207854252422792224484511158996034922050497947339004870571987900050361828698877<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerFebruary 5, 2011 08:28:35 UTC 2011 年 2 月 5 日 (土) 17 時 28 分 35 秒 (日本時間)
5043e61080360Dmitry DomanovJune 30, 2011 20:12:40 UTC 2011 年 7 月 1 日 (金) 5 時 12 分 40 秒 (日本時間)
720Dmitry DomanovJuly 14, 2011 21:09:25 UTC 2011 年 7 月 15 日 (金) 6 時 9 分 25 秒 (日本時間)
5511e76270 / 173432635yoyo@homeNovember 30, 2011 10:10:45 UTC 2011 年 11 月 30 日 (水) 19 時 10 分 45 秒 (日本時間)
2635yoyo@homeApril 21, 2012 19:42:49 UTC 2012 年 4 月 22 日 (日) 4 時 42 分 49 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 16:02:28 UTC 2016 年 8 月 15 日 (月) 1 時 2 分 28 秒 (日本時間)

7×10271-619

c237

name 名前Erik Branger
date 日付February 5, 2011 08:28:24 UTC 2011 年 2 月 5 日 (土) 17 時 28 分 24 秒 (日本時間)
composite number 合成数
106805395669790893789929593734659496595666352083159798589218841883846943367986007205984027725155010545919265083558506398370726826827387300605978540919321040106457841945724930562051923574032493438785985869655271953311837050097854310084691<237>
prime factors 素因数
1254145462877344938590552722859069185825261267<46>
85161888179024118842801474283909608219095872397483225354290494664002047858909009063004989745837861083957116122199630681079382510708637891478525234267449940997590080298941968015546599214956673<191>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 106805395669790893789929593734659496595666352083159798589218841883846943367986007205984027725155010545919265083558506398370726826827387300605978540919321040106457841945724930562051923574032493438785985869655271953311837050097854310084691 (237 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4025964775
Step 1 took 85597ms
Step 2 took 38595ms
********** Factor found in step 2: 1254145462877344938590552722859069185825261267
Found probable prime factor of 46 digits: 1254145462877344938590552722859069185825261267
Probable prime cofactor 85161888179024118842801474283909608219095872397483225354290494664002047858909009063004989745837861083957116122199630681079382510708637891478525234267449940997590080298941968015546599214956673 has 191 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
351e60--
403e6500 / 2350Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10272-619

c256

composite cofactor 合成数の残り
1350289249883076116558262618752138160327809647356266935944567865703759274171334929345507307007970939174481605582643091563565982897494964863998605344466357739090051488703761022581832831216101939479765522100796727983177887466238974773921970079399682925615111<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerFebruary 5, 2011 08:30:27 UTC 2011 年 2 月 5 日 (土) 17 時 30 分 27 秒 (日本時間)
5043e61140420Dmitry DomanovJune 29, 2011 20:07:05 UTC 2011 年 6 月 30 日 (木) 5 時 7 分 5 秒 (日本時間)
720Dmitry DomanovJuly 12, 2011 13:45:49 UTC 2011 年 7 月 12 日 (火) 22 時 45 分 49 秒 (日本時間)
5511e76220 / 173212610yoyo@homeNovember 30, 2011 11:07:15 UTC 2011 年 11 月 30 日 (水) 20 時 7 分 15 秒 (日本時間)
2610yoyo@homeApril 22, 2012 00:10:15 UTC 2012 年 4 月 22 日 (日) 9 時 10 分 15 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 16:02:55 UTC 2016 年 8 月 15 日 (月) 1 時 2 分 55 秒 (日本時間)

7×10273-619

c236

composite cofactor 合成数の残り
38515718303909096447025670580905958671414486109769444835954321977000413679633764489097838026343674265925183347290409415645932436619595633391673706733745497019845720783287796126146507798848336583790251502292271122789663691304894867141179<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerFebruary 5, 2011 11:16:06 UTC 2011 年 2 月 5 日 (土) 20 時 16 分 6 秒 (日本時間)
5043e61080320Dmitry DomanovJune 29, 2011 20:07:22 UTC 2011 年 6 月 30 日 (木) 5 時 7 分 22 秒 (日本時間)
760Dmitry DomanovJuly 14, 2011 21:10:17 UTC 2011 年 7 月 15 日 (金) 6 時 10 分 17 秒 (日本時間)
5511e76270 / 173432635yoyo@homeNovember 30, 2011 12:25:09 UTC 2011 年 11 月 30 日 (水) 21 時 25 分 9 秒 (日本時間)
2635yoyo@homeApril 22, 2012 04:50:06 UTC 2012 年 4 月 22 日 (日) 13 時 50 分 6 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 16:03:00 UTC 2016 年 8 月 15 日 (月) 1 時 3 分 0 秒 (日本時間)

7×10274-619

c273

name 名前Grubix
date 日付May 4, 2011 02:31:44 UTC 2011 年 5 月 4 日 (水) 11 時 31 分 44 秒 (日本時間)
composite number 合成数
409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409<273>
prime factors 素因数
42910768031369122039068449639514977029050082665451<50>
composite cofactor 合成数の残り
9539720306263131433667398093204758504464160161851427944662227443520901830789353413521490910708521075415945172461306132478960128490476180034653206403338047241975948917569173917577519395301732042638562025879149873484345608859<223>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1 and --enable-asm-redc] [ECM]
Input number is 409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409 (273 digits)
[Tue May 03 19:36:16 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=907346231
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 704016ms
Using 32 small primes for NTT
Estimated memory usage: 947M
Initializing tables of differences for F took 484ms
Computing roots of F took 20171ms
Building F from its roots took 14664ms
Computing 1/F took 6989ms
Initializing table of differences for G took 390ms
Computing roots of G took 16989ms
Building G from its roots took 13728ms
Computing roots of G took 16817ms
Building G from its roots took 13401ms
Computing G * H took 3916ms
Reducing  G * H mod F took 3697ms
Computing roots of G took 16708ms
Building G from its roots took 13868ms
Computing G * H took 3978ms
Reducing  G * H mod F took 3682ms
Computing roots of G took 16629ms
Building G from its roots took 13682ms
Computing G * H took 3978ms
Reducing  G * H mod F took 3837ms
Computing polyeval(F,G) took 26567ms
Computing product of all F(g_i) took 110ms
Step 2 took 215266ms
********** Factor found in step 2: 42910768031369122039068449639514977029050082665451
Found probable prime factor of 50 digits: 42910768031369122039068449639514977029050082665451
Composite cofactor 9539720306263131433667398093204758504464160161851427944662227443520901830789353413521490910708521075415945172461306132478960128490476180034653206403338047241975948917569173917577519395301732042638562025879149873484345608859 has 223 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
403e62350500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
1850Wataru SakaiOctober 15, 2010 11:40:58 UTC 2010 年 10 月 15 日 (金) 20 時 40 分 58 秒 (日本時間)
4511e60--
5043e6400Dmitry DomanovFebruary 23, 2011 23:09:52 UTC 2011 年 2 月 24 日 (木) 8 時 9 分 52 秒 (日本時間)
5511e76565 / 17608400Dmitry DomanovFebruary 24, 2011 17:54:55 UTC 2011 年 2 月 25 日 (金) 2 時 54 分 55 秒 (日本時間)
2220yoyo@homeMay 2, 2011 01:46:51 UTC 2011 年 5 月 2 日 (月) 10 時 46 分 51 秒 (日本時間)
2945yoyo@homeJune 29, 2011 13:55:06 UTC 2011 年 6 月 29 日 (水) 22 時 55 分 6 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 16:03:07 UTC 2016 年 8 月 15 日 (月) 1 時 3 分 7 秒 (日本時間)

7×10276-619

c262

composite cofactor 合成数の残り
7520874684390798780470799715161001844163110053574944169317956999497321550782379158652637945082308840627259213655142423988347255190087274118187299221430166668281847371133970425026755496840532150067061724963639987874282369335106099497027346067799271455823420140573<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerFebruary 6, 2011 09:01:50 UTC 2011 年 2 月 6 日 (日) 18 時 1 分 50 秒 (日本時間)
5043e61080360Dmitry DomanovJune 29, 2011 20:04:51 UTC 2011 年 6 月 30 日 (木) 5 時 4 分 51 秒 (日本時間)
720Dmitry DomanovJuly 12, 2011 13:43:54 UTC 2011 年 7 月 12 日 (火) 22 時 43 分 54 秒 (日本時間)
5511e76270 / 173432635yoyo@homeNovember 30, 2011 14:15:13 UTC 2011 年 11 月 30 日 (水) 23 時 15 分 13 秒 (日本時間)
2635yoyo@homeApril 22, 2012 09:40:05 UTC 2012 年 4 月 22 日 (日) 18 時 40 分 5 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 16:03:37 UTC 2016 年 8 月 15 日 (月) 1 時 3 分 37 秒 (日本時間)

7×10277-619

c214

composite cofactor 合成数の残り
7431023756681746171357729476329025182296003176922784691264209190275197637389963224099883109708316813543804990786232940144670625054921898120564668560967454152086714534737113124605781396027886683591743445689427643853<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerFebruary 6, 2011 09:01:57 UTC 2011 年 2 月 6 日 (日) 18 時 1 分 57 秒 (日本時間)
5043e61080400Dmitry DomanovJune 29, 2011 20:04:20 UTC 2011 年 6 月 30 日 (木) 5 時 4 分 20 秒 (日本時間)
680Dmitry DomanovJuly 12, 2011 20:42:44 UTC 2011 年 7 月 13 日 (水) 5 時 42 分 44 秒 (日本時間)
5511e76270 / 173432635yoyo@homeNovember 30, 2011 14:45:09 UTC 2011 年 11 月 30 日 (水) 23 時 45 分 9 秒 (日本時間)
2635yoyo@homeApril 26, 2012 03:55:05 UTC 2012 年 4 月 26 日 (木) 12 時 55 分 5 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 16:03:42 UTC 2016 年 8 月 15 日 (月) 1 時 3 分 42 秒 (日本時間)

7×10278-619

c250

name 名前Erik Branger
date 日付February 6, 2011 09:01:26 UTC 2011 年 2 月 6 日 (日) 18 時 1 分 26 秒 (日本時間)
composite number 合成数
1150366780639295910106614787629579458741008886877099739645950757478826345633394775212173318168344937365836739675938752569196218666578546324200663359770528280140834178260107896341213180217602780876041755288291697147790554716475818988545860341129063097<250>
prime factors 素因数
133430909321678570472966143891204653053691<42>
composite cofactor 合成数の残り
8621441512220852284226914423850469388613689296818743447127586568384014829013409301440734979172252510496815196051059445721471061172297387409806132524482385100228272943965490549778314841012553599146487370843867<208>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 1150366780639295910106614787629579458741008886877099739645950757478826345633394775212173318168344937365836739675938752569196218666578546324200663359770528280140834178260107896341213180217602780876041755288291697147790554716475818988545860341129063097 (250 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3111257265
Step 1 took 86097ms
Step 2 took 41527ms
********** Factor found in step 2: 133430909321678570472966143891204653053691
Found probable prime factor of 42 digits: 133430909321678570472966143891204653053691
Composite cofactor 8621441512220852284226914423850469388613689296818743447127586568384014829013409301440734979172252510496815196051059445721471061172297387409806132524482385100228272943965490549778314841012553599146487370843867 has 208 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
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerFebruary 6, 2011 09:00:42 UTC 2011 年 2 月 6 日 (日) 18 時 0 分 42 秒 (日本時間)
5043e61080400Dmitry DomanovJune 29, 2011 20:03:49 UTC 2011 年 6 月 30 日 (木) 5 時 3 分 49 秒 (日本時間)
680Dmitry DomanovJuly 12, 2011 20:43:01 UTC 2011 年 7 月 13 日 (水) 5 時 43 分 1 秒 (日本時間)
5511e76270 / 173432635yoyo@homeNovember 30, 2011 16:10:08 UTC 2011 年 12 月 1 日 (木) 1 時 10 分 8 秒 (日本時間)
2635yoyo@homeApril 26, 2012 07:50:05 UTC 2012 年 4 月 26 日 (木) 16 時 50 分 5 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 16:03:47 UTC 2016 年 8 月 15 日 (月) 1 時 3 分 47 秒 (日本時間)

7×10280-619

c254

composite cofactor 合成数の残り
19485449146621075650954822036105584173087349067095856668495361091009676407303922024246764502255947144155896132412963731312362160354806453587501986021469536426500680504600031830238772541198185256418297023027015275887355231043508946763146082111343999152407<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerFebruary 6, 2011 10:20:21 UTC 2011 年 2 月 6 日 (日) 19 時 20 分 21 秒 (日本時間)
5043e61080360Dmitry DomanovJune 29, 2011 20:03:15 UTC 2011 年 6 月 30 日 (木) 5 時 3 分 15 秒 (日本時間)
720Dmitry DomanovJuly 12, 2011 20:45:07 UTC 2011 年 7 月 13 日 (水) 5 時 45 分 7 秒 (日本時間)
5511e76270 / 173432635yoyo@homeNovember 30, 2011 19:15:06 UTC 2011 年 12 月 1 日 (木) 4 時 15 分 6 秒 (日本時間)
2635yoyo@homeApril 30, 2012 17:55:05 UTC 2012 年 5 月 1 日 (火) 2 時 55 分 5 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 16:03:52 UTC 2016 年 8 月 15 日 (月) 1 時 3 分 52 秒 (日本時間)

7×10281-619

c281

name 名前Dmitry Domanov
date 日付November 26, 2010 20:03:46 UTC 2010 年 11 月 27 日 (土) 5 時 3 分 46 秒 (日本時間)
composite number 合成数
77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771<281>
prime factors 素因数
4523159142529823627656289855445250569269331784937<49>
17195454620744630795795189295466494674214953140103046884746288576871160828486001479609080709688673274207705287772095319129099755756985272976225211064807113208084661000008634486804421955823985614928023881285023804722844752565195244083<233>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2280247892
Step 1 took 1091893ms
Step 2 took 278023ms
********** Factor found in step 2: 4523159142529823627656289855445250569269331784937
Found probable prime factor of 49 digits: 4523159142529823627656289855445250569269331784937
Probable prime cofactor 17195454620744630795795189295466494674214953140103046884746288576871160828486001479609080709688673274207705287772095319129099755756985272976225211064807113208084661000008634486804421955823985614928023881285023804722844752565195244083 has 233 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62350500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
1850Serge BatalovOctober 5, 2010 07:09:37 UTC 2010 年 10 月 5 日 (火) 16 時 9 分 37 秒 (日本時間)
4511e626001000Serge BatalovOctober 5, 2010 18:09:53 UTC 2010 年 10 月 6 日 (水) 3 時 9 分 53 秒 (日本時間)
1600Serge BatalovOctober 30, 2010 07:14:19 UTC 2010 年 10 月 30 日 (土) 16 時 14 分 19 秒 (日本時間)
5043e62800 / 39881000Dmitry DomanovNovember 10, 2010 19:11:12 UTC 2010 年 11 月 11 日 (木) 4 時 11 分 12 秒 (日本時間)
200Dmitry DomanovNovember 15, 2010 07:13:17 UTC 2010 年 11 月 15 日 (月) 16 時 13 分 17 秒 (日本時間)
800Dmitry DomanovNovember 23, 2010 19:01:46 UTC 2010 年 11 月 24 日 (水) 4 時 1 分 46 秒 (日本時間)
800Dmitry DomanovNovember 25, 2010 19:40:39 UTC 2010 年 11 月 26 日 (金) 4 時 40 分 39 秒 (日本時間)
5511e71200 / 16589600Dmitry DomanovNovember 23, 2010 19:01:46 UTC 2010 年 11 月 24 日 (水) 4 時 1 分 46 秒 (日本時間)
600Dmitry DomanovNovember 25, 2010 19:40:39 UTC 2010 年 11 月 26 日 (金) 4 時 40 分 39 秒 (日本時間)

7×10282-619

c222

name 名前Dmitry Domanov
date 日付July 13, 2011 06:26:37 UTC 2011 年 7 月 13 日 (水) 15 時 26 分 37 秒 (日本時間)
composite number 合成数
892421203643558053426983697363440612197426475084410273204089080215297321503300190116585698225125512255054257226494226235916382018965551594793303659672968761209445401845638010759464717527284669974556210952950784109466982867<222>
prime factors 素因数
605245577397905522712988812195725364053059<42>
1474477859847053735472093706332233451555209249911655186211060831516252702419360326526242614744473125113309403595525045731866287522171301621471408850820007701880632150108539117060913<181>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1876990356
Step 1 took 452781ms
Step 2 took 110264ms
********** Factor found in step 2: 605245577397905522712988812195725364053059
Found probable prime factor of 42 digits: 605245577397905522712988812195725364053059
Probable prime cofactor 1474477859847053735472093706332233451555209249911655186211060831516252702419360326526242614744473125113309403595525045731866287522171301621471408850820007701880632150108539117060913 has 181 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerFebruary 6, 2011 18:12:54 UTC 2011 年 2 月 7 日 (月) 3 時 12 分 54 秒 (日本時間)
5043e61080 / 7400400Dmitry DomanovJune 29, 2011 20:02:52 UTC 2011 年 6 月 30 日 (木) 5 時 2 分 52 秒 (日本時間)
680Dmitry DomanovJuly 12, 2011 20:45:28 UTC 2011 年 7 月 13 日 (水) 5 時 45 分 28 秒 (日本時間)

7×10283-619

c247

composite cofactor 合成数の残り
8934035216080280641370132544813705347045409567532454759947293988317192684557625384284387773003386408244202657386815416448446689600616632458107755893494054890950175551863005279165057433522712644874480006621595378392944183086672220185067669632514249<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerFebruary 6, 2011 21:48:58 UTC 2011 年 2 月 7 日 (月) 6 時 48 分 58 秒 (日本時間)
5043e61080420Dmitry DomanovJune 27, 2011 23:18:03 UTC 2011 年 6 月 28 日 (火) 8 時 18 分 3 秒 (日本時間)
660Dmitry DomanovJuly 11, 2011 21:08:38 UTC 2011 年 7 月 12 日 (火) 6 時 8 分 38 秒 (日本時間)
5511e76270 / 173432635yoyo@homeNovember 30, 2011 20:45:07 UTC 2011 年 12 月 1 日 (木) 5 時 45 分 7 秒 (日本時間)
2635yoyo@homeMay 4, 2012 15:55:04 UTC 2012 年 5 月 5 日 (土) 0 時 55 分 4 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 16:04:17 UTC 2016 年 8 月 15 日 (月) 1 時 4 分 17 秒 (日本時間)

7×10285-619

c270

name 名前Erik Branger
date 日付February 7, 2011 06:08:40 UTC 2011 年 2 月 7 日 (月) 15 時 8 分 40 秒 (日本時間)
composite number 合成数
759432344263962455367635233159145762414162586142074898111545227561545392850383373213063631717256429638317727178191863643062782478370156586947988674604279505052400584151980062980829838923052457957532138662679173352530292124218514355065052042347268589582759447447847365277<270>
prime factors 素因数
289853484796762067932046364615463807619<39>
2620055938939140946675134297521664569786138849613596826273636322101695770697278677877189807201538991060842915559252994348838219063434591224995188394231256499628401596415810911614372407367512940948442075372201372510679573162258009183<232>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 759432344263962455367635233159145762414162586142074898111545227561545392850383373213063631717256429638317727178191863643062782478370156586947988674604279505052400584151980062980829838923052457957532138662679173352530292124218514355065052042347268589582759447447847365277 (270 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3457656048
Step 1 took 114614ms
********** Factor found in step 1: 289853484796762067932046364615463807619
Found probable prime factor of 39 digits: 289853484796762067932046364615463807619
Probable prime cofactor 2620055938939140946675134297521664569786138849613596826273636322101695770697278677877189807201538991060842915559252994348838219063434591224995188394231256499628401596415810911614372407367512940948442075372201372510679573162258009183 has 232 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
351e60--
403e6500 / 2350Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)

7×10286-619

c249

name 名前Sonic@Planet 3DNow!
date 日付May 15, 2012 02:12:12 UTC 2012 年 5 月 15 日 (火) 11 時 12 分 12 秒 (日本時間)
composite number 合成数
135568585538077019769255135749908263353231064505039577154528860269381991632352068179376341623984200428330243036947430681691787702953610139831829236126517118995866402844318008138068438605067228294247532843256174571093618453442622477432125253745589703<249>
prime factors 素因数
20800734759939224443237473818677873976926980425596921<53>
composite cofactor 合成数の残り
6517490228238126135625539398096806788299470057489567080013253721948609997450517273184106639271189549629298339245139632644469745797990730957694684799959423668067248312661005579019751272627825630143<196>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 135568585538077019769255135749908263353231064505039577154528860269381991632352068179376341623984200428330243036947430681691787702953610139831829236126517118995866402844318008138068438605067228294247532843256174571093618453442622477432125253745589703 (249 digits)
[Mon May 14 19:18:33 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1755557075
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35  40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 969453ms
********** Factor found in step 1: 20800734759939224443237473818677873976926980425596921
Found probable prime factor of 53 digits: 20800734759939224443237473818677873976926980425596921
Composite cofactor 6517490228238126135625539398096806788299470057489567080013253721948609997450517273184106639271189549629298339245139632644469745797990730957694684799959423668067248312661005579019751272627825630143 has 196 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
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerFebruary 7, 2011 17:49:41 UTC 2011 年 2 月 8 日 (火) 2 時 49 分 41 秒 (日本時間)
5043e61080480Dmitry DomanovJune 27, 2011 23:16:36 UTC 2011 年 6 月 28 日 (火) 8 時 16 分 36 秒 (日本時間)
600Dmitry DomanovJuly 11, 2011 21:07:38 UTC 2011 年 7 月 12 日 (火) 6 時 7 分 38 秒 (日本時間)
5511e76195 / 173432635yoyo@homeNovember 30, 2011 21:05:04 UTC 2011 年 12 月 1 日 (木) 6 時 5 分 4 秒 (日本時間)
2560yoyo@homeMay 6, 2012 00:00:05 UTC 2012 年 5 月 6 日 (日) 9 時 0 分 5 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 16:04:24 UTC 2016 年 8 月 15 日 (月) 1 時 4 分 24 秒 (日本時間)

7×10287-619

c204

name 名前[SG-FC] hl
date 日付May 16, 2012 01:48:49 UTC 2012 年 5 月 16 日 (水) 10 時 48 分 49 秒 (日本時間)
composite number 合成数
226891615594005678595540178249735350908844337583145568693562661279947345543315153013794542311982759957820178421431774185000717581108943172962487584179761530631135602140346491093670903736039622965172551969<204>
prime factors 素因数
48284782545958203584934431495920760565889311512420857<53>
4699029458775064919833727909505677868772943230838030491888990660099720098603999528937580199579265433602811574013743851810866650101604258422076587418217<151>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 226891615594005678595540178249735350908844337583145568693562661279947345543315153013794542311982759957820178421431774185000717581108943172962487584179761530631135602140346491093670903736039622965172551969 (204 digits)
[Tue May 15 22:32:42 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1954957419
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 1062617ms
Using 25 small primes for NTT
Estimated memory usage: 728M
Initializing tables of differences for F took 702ms
Computing roots of F took 31419ms
Building F from its roots took 16349ms
Computing 1/F took 6286ms
Initializing table of differences for G took 593ms
Computing roots of G took 25662ms
Building G from its roots took 15398ms
Computing roots of G took 24975ms
Building G from its roots took 15803ms
Computing G * H took 3338ms
Reducing  G * H mod F took 3339ms
Computing roots of G took 24866ms
Building G from its roots took 15600ms
Computing G * H took 3401ms
Reducing  G * H mod F took 3307ms
Computing roots of G took 25038ms
Building G from its roots took 15850ms
Computing G * H took 3542ms
Reducing  G * H mod F took 3525ms
Computing polyeval(F,G) took 30311ms
Computing product of all F(g_i) took 78ms
Step 2 took 269928ms
********** Factor found in step 2: 48284782545958203584934431495920760565889311512420857
Found probable prime factor of 53 digits: 48284782545958203584934431495920760565889311512420857
Probable prime cofactor 4699029458775064919833727909505677868772943230838030491888990660099720098603999528937580199579265433602811574013743851810866650101604258422076587418217 has 151 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
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerNovember 19, 2010 16:15:05 UTC 2010 年 11 月 20 日 (土) 1 時 15 分 5 秒 (日本時間)
5043e61120320Dmitry DomanovJune 27, 2011 23:15:58 UTC 2011 年 6 月 28 日 (火) 8 時 15 分 58 秒 (日本時間)
800Dmitry DomanovJuly 11, 2011 21:07:18 UTC 2011 年 7 月 12 日 (火) 6 時 7 分 18 秒 (日本時間)
5511e75000 / 173282615yoyo@homeNovember 30, 2011 22:35:19 UTC 2011 年 12 月 1 日 (木) 7 時 35 分 19 秒 (日本時間)
2385yoyo@homeMay 11, 2012 09:30:06 UTC 2012 年 5 月 11 日 (金) 18 時 30 分 6 秒 (日本時間)

7×10288-619

c254

composite cofactor 合成数の残り
44281766122422104068309797658527745112469971436520492812826727064789349126499371504390017252840551053136672196733986723000558026493334808621956543604202920245466511357924888551427496472370770295734140595791885878834534345072201865936721631627296416486069<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerOctober 31, 2010 15:17:32 UTC 2010 年 11 月 1 日 (月) 0 時 17 分 32 秒 (日本時間)
5043e61080480Dmitry DomanovJune 27, 2011 23:14:54 UTC 2011 年 6 月 28 日 (火) 8 時 14 分 54 秒 (日本時間)
600Dmitry DomanovJuly 11, 2011 21:05:32 UTC 2011 年 7 月 12 日 (火) 6 時 5 分 32 秒 (日本時間)
5511e76270 / 173432635yoyo@homeDecember 1, 2011 01:15:48 UTC 2011 年 12 月 1 日 (木) 10 時 15 分 48 秒 (日本時間)
2635yoyo@homeMay 11, 2012 11:20:07 UTC 2012 年 5 月 11 日 (金) 20 時 20 分 7 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 16:04:29 UTC 2016 年 8 月 15 日 (月) 1 時 4 分 29 秒 (日本時間)

7×10289-619

c204

composite cofactor 合成数の残り
691791847928983852729724092598840652997194711861432715603682423076651459723576877238162331939094953455770711990480892631305877461950475475027373729987807364042189394451153609575270770752253382207911942089<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerOctober 31, 2010 08:12:13 UTC 2010 年 10 月 31 日 (日) 17 時 12 分 13 秒 (日本時間)
5043e61080480Dmitry DomanovJune 27, 2011 23:14:04 UTC 2011 年 6 月 28 日 (火) 8 時 14 分 4 秒 (日本時間)
600Dmitry DomanovJuly 11, 2011 21:04:25 UTC 2011 年 7 月 12 日 (火) 6 時 4 分 25 秒 (日本時間)
5511e76270 / 173432635yoyo@homeDecember 1, 2011 03:50:12 UTC 2011 年 12 月 1 日 (木) 12 時 50 分 12 秒 (日本時間)
2635yoyo@homeMay 11, 2012 12:07:43 UTC 2012 年 5 月 11 日 (金) 21 時 7 分 43 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 16:04:35 UTC 2016 年 8 月 15 日 (月) 1 時 4 分 35 秒 (日本時間)

7×10290-619

c287

composite cofactor 合成数の残り
14750194913289925616874222980803674905704111090039404092125503087005078281391575531533809553911962408074678129675284994837431780348526034094021956718713783003561118486208567756073919548222601512948563963166656130813157173862654613650251806898876878015888067092315148450175948753608529827<287>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62350500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
600Serge BatalovOctober 5, 2010 07:10:37 UTC 2010 年 10 月 5 日 (火) 16 時 10 分 37 秒 (日本時間)
1250Wataru SakaiOctober 16, 2010 04:35:41 UTC 2010 年 10 月 16 日 (土) 13 時 35 分 41 秒 (日本時間)
4511e60--
5043e6700Dmitry DomanovJanuary 28, 2011 14:50:38 UTC 2011 年 1 月 28 日 (金) 23 時 50 分 38 秒 (日本時間)
5511e74120 / 17501300Dmitry DomanovJanuary 28, 2011 14:50:25 UTC 2011 年 1 月 28 日 (金) 23 時 50 分 25 秒 (日本時間)
2820yoyo@homeMay 8, 2011 20:17:10 UTC 2011 年 5 月 9 日 (月) 5 時 17 分 10 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 16:05:00 UTC 2016 年 8 月 15 日 (月) 1 時 5 分 0 秒 (日本時間)

7×10291-619

c275

composite cofactor 合成数の残り
45290985436922004986943992299028052694145896975015900875200554253483996563694951523557312418887572815542197431917183035546883179487245023340164989396946150582411215619997544802646276336818942221071204375506821782778569745283248598213133611056165948842315597749891036446078921<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e61080600Erik BrangerOctober 31, 2010 08:11:45 UTC 2010 年 10 月 31 日 (日) 17 時 11 分 45 秒 (日本時間)
480Dmitry DomanovJune 26, 2011 22:39:53 UTC 2011 年 6 月 27 日 (月) 7 時 39 分 53 秒 (日本時間)
5043e6940480Dmitry DomanovJune 26, 2011 22:40:11 UTC 2011 年 6 月 27 日 (月) 7 時 40 分 11 秒 (日本時間)
460Dmitry DomanovJuly 9, 2011 21:48:15 UTC 2011 年 7 月 10 日 (日) 6 時 48 分 15 秒 (日本時間)
5511e76290 / 173632645yoyo@homeDecember 1, 2011 06:30:10 UTC 2011 年 12 月 1 日 (木) 15 時 30 分 10 秒 (日本時間)
2645yoyo@homeMay 11, 2012 15:07:51 UTC 2012 年 5 月 12 日 (土) 0 時 7 分 51 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 16:05:08 UTC 2016 年 8 月 15 日 (月) 1 時 5 分 8 秒 (日本時間)

7×10292-619

c279

composite cofactor 合成数の残り
761814680977461710701423979635125654376586285559765889920227469875248389185888700520201177461215585640879856078800998361844543666933121008547635712004504985348108907209674766640951080943692588583647590359943759379081061429970148626325680284369743571331901024692423359994648911777<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62350500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
600Serge BatalovOctober 5, 2010 07:11:49 UTC 2010 年 10 月 5 日 (火) 16 時 11 分 49 秒 (日本時間)
1250Wataru SakaiOctober 8, 2010 05:53:10 UTC 2010 年 10 月 8 日 (金) 14 時 53 分 10 秒 (日本時間)
4511e60--
5043e60--
5511e74660 / 17751200Dmitry DomanovJanuary 20, 2011 07:27:00 UTC 2011 年 1 月 20 日 (木) 16 時 27 分 0 秒 (日本時間)
250Dmitry DomanovJanuary 24, 2011 07:07:40 UTC 2011 年 1 月 24 日 (月) 16 時 7 分 40 秒 (日本時間)
100Dmitry DomanovJanuary 25, 2011 06:56:03 UTC 2011 年 1 月 25 日 (火) 15 時 56 分 3 秒 (日本時間)
3110yoyo@homeMay 8, 2011 23:22:04 UTC 2011 年 5 月 9 日 (月) 8 時 22 分 4 秒 (日本時間)
1000Erik BrangerAugust 14, 2016 16:05:13 UTC 2016 年 8 月 15 日 (月) 1 時 5 分 13 秒 (日本時間)

7×10293-619

c280

composite cofactor 合成数の残り
3328423728663862344697739771700421842535689099928248196204266991304970258092525980855808807981503753948522858135398207929471719256975108416068247823514403800322028090371111927655694154659382916011795812413794431328215098130703573640466306081840366168686221504947129474260700254797<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62350500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
600Serge BatalovOctober 5, 2010 07:11:29 UTC 2010 年 10 月 5 日 (火) 16 時 11 分 29 秒 (日本時間)
1250Wataru SakaiOctober 16, 2010 04:35:28 UTC 2010 年 10 月 16 日 (土) 13 時 35 分 28 秒 (日本時間)
4511e60--
5043e6800400Dmitry DomanovDecember 25, 2010 22:43:09 UTC 2010 年 12 月 26 日 (日) 7 時 43 分 9 秒 (日本時間)
400Dmitry DomanovDecember 29, 2010 23:35:14 UTC 2010 年 12 月 30 日 (木) 8 時 35 分 14 秒 (日本時間)
5511e73830 / 17391120Dmitry DomanovDecember 29, 2010 23:35:14 UTC 2010 年 12 月 30 日 (木) 8 時 35 分 14 秒 (日本時間)
2710yoyo@homeMarch 19, 2011 22:44:11 UTC 2011 年 3 月 20 日 (日) 7 時 44 分 11 秒 (日本時間)
1000Erik BrangerAugust 16, 2016 16:32:11 UTC 2016 年 8 月 17 日 (水) 1 時 32 分 11 秒 (日本時間)
6026e732 / 40473Dmitry DomanovDecember 29, 2010 23:36:50 UTC 2010 年 12 月 30 日 (木) 8 時 36 分 50 秒 (日本時間)

7×10294-619

c182

name 名前Erik Branger
date 日付July 1, 2016 14:52:12 UTC 2016 年 7 月 1 日 (金) 23 時 52 分 12 秒 (日本時間)
composite number 合成数
18675405572331560310583265774204505301415598498076656561422574471774037555350905938060807377546742508840495332996495761781590487724526878487239887588209751350338083828534569094229647<182>
prime factors 素因数
35881670721649098887505540783798287258256588249095819024848306965181660681<74>
520472018073110796458508246496035484683373733924378172620821677231951960729509690882614506758434545031638487<108>
factorization results 素因数分解の結果
Number: 77771_298
N = 18675405572331560310583265774204505301415598498076656561422574471774037555350905938060807377546742508840495332996495761781590487724526878487239887588209751350338083828534569094229647 (182 digits)
Divisors found:
r1=35881670721649098887505540783798287258256588249095819024848306965181660681 (pp74)
r2=520472018073110796458508246496035484683373733924378172620821677231951960729509690882614506758434545031638487 (pp108)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 32000 hours.
Factorization parameters were as follows:
# Murphy_E = 6.732e-14, selected by Erik Branger
# Poly selection took 1 GPU-month with msieve on a GTX760. Searched leading coefficients 1 - 200 000. Second best polynomial had Murphy e 6.313e-014.
n: 18675405572331560310583265774204505301415598498076656561422574471774037555350905938060807377546742508840495332996495761781590487724526878487239887588209751350338083828534569094229647
Y0: -262907824258932813360854376622286599
Y1: 12918700264242667541
c0: -31652508449192112444055628517754755088887425280
c1: 710622943245874510012084357262004430308
c2: 926076829723453969157641294892
c3: -16902794888899212983959
c4: -45854072328508
c5: 14868
skew: 363402240.79
type: gnfs
# selected mechanically
rlim: 250000000
alim: 250000000
lpbr: 31
lpba: 31
mfbr: 62
mfba: 62
rlambda: 2.7
alambda: 2.7
Factor base limits: 250000000/250000000
Large primes per side: 3
Large prime bits: 31/31
Sieved algebraic special-q in [80000000, 240000000)
Total raw relations: 210945619
Relations: 28496392 relations
Pruned matrix : 17576357 x 17576584
Polynomial selection time: 720 hours.
Total sieving time: 29500 hours.
Total relation processing time: 2.5 hours.
Matrix solve time: 250.77 hours.
time per square root: 1.50 hours.
total time: 30000 hours.
Approximate total sieve time 29500 hours by one desktop and two laptops.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62350500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
1850Serge BatalovOctober 6, 2010 02:00:10 UTC 2010 年 10 月 6 日 (水) 11 時 0 分 10 秒 (日本時間)
4511e60--
5043e61200400Dmitry DomanovNovember 30, 2010 19:49:23 UTC 2010 年 12 月 1 日 (水) 4 時 49 分 23 秒 (日本時間)
800Dmitry DomanovDecember 3, 2010 22:44:03 UTC 2010 年 12 月 4 日 (土) 7 時 44 分 3 秒 (日本時間)
5511e72610 / 10348yoyo@homeMarch 25, 2011 17:20:42 UTC 2011 年 3 月 26 日 (土) 2 時 20 分 42 秒 (日本時間)
6026e73000 / 408871000Erik BrangerDecember 10, 2015 11:38:13 UTC 2015 年 12 月 10 日 (木) 20 時 38 分 13 秒 (日本時間)
1000Erik BrangerDecember 11, 2015 16:27:33 UTC 2015 年 12 月 12 日 (土) 1 時 27 分 33 秒 (日本時間)
1000Erik BrangerDecember 14, 2015 19:23:23 UTC 2015 年 12 月 15 日 (火) 4 時 23 分 23 秒 (日本時間)

7×10296-619

c281

composite cofactor 合成数の残り
30659922092025415278370865350614301480517745991019281573390747485904395813343143440558842368420244087629879356118094301878591766654959962588096668540865568496750532046460403470828628443854598291440780425821436856629363877079104371610300975579437083979183836098002743481356983357087<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerOctober 30, 2010 20:10:22 UTC 2010 年 10 月 31 日 (日) 5 時 10 分 22 秒 (日本時間)
5043e61080480Dmitry DomanovJune 26, 2011 22:41:32 UTC 2011 年 6 月 27 日 (月) 7 時 41 分 32 秒 (日本時間)
600Dmitry DomanovJuly 9, 2011 20:18:26 UTC 2011 年 7 月 10 日 (日) 5 時 18 分 26 秒 (日本時間)
5511e76270 / 173432635yoyo@homeDecember 1, 2011 08:25:09 UTC 2011 年 12 月 1 日 (木) 17 時 25 分 9 秒 (日本時間)
2635yoyo@homeMay 11, 2012 21:08:03 UTC 2012 年 5 月 12 日 (土) 6 時 8 分 3 秒 (日本時間)
1000Erik BrangerAugust 18, 2016 11:50:45 UTC 2016 年 8 月 18 日 (木) 20 時 50 分 45 秒 (日本時間)

7×10297-619

c249

name 名前Erik Branger
date 日付October 30, 2010 12:53:54 UTC 2010 年 10 月 30 日 (土) 21 時 53 分 54 秒 (日本時間)
composite number 合成数
404199687947245997601539376752496679821482407432429185191216612722873301988033405019230419178111982492788995415423840124159182048243615725544959913849441903585441825836390552924955045362031150638679570266908420668348625483332121967187966494463178529<249>
prime factors 素因数
9880278139755286374022247337100166179130092873<46>
composite cofactor 合成数の残り
40909747906879995014965009651752932796669642612834974924018183918141814124327643590909185166756424561055214537342358068824203061232991673481523112712397677307703590194666353241018344919146238866852475673<203>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1 and --enable-asm-redc] [ECM]
Input number is 404199687947245997601539376752496679821482407432429185191216612722873301988033405019230419178111982492788995415423840124159182048243615725544959913849441903585441825836390552924955045362031150638679570266908420668348625483332121967187966494463178529 (249 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2775475540
Step 1 took 100418ms
Step 2 took 40638ms
********** Factor found in step 2: 9880278139755286374022247337100166179130092873
Found probable prime factor of 46 digits: 9880278139755286374022247337100166179130092873
Composite cofactor 40909747906879995014965009651752932796669642612834974924018183918141814124327643590909185166756424561055214537342358068824203061232991673481523112712397677307703590194666353241018344919146238866852475673 has 203 digits
software ソフトウェア
GMP-ECM

c203

name 名前Dmitry Domanov
date 日付November 22, 2010 10:42:25 UTC 2010 年 11 月 22 日 (月) 19 時 42 分 25 秒 (日本時間)
composite number 合成数
40909747906879995014965009651752932796669642612834974924018183918141814124327643590909185166756424561055214537342358068824203061232991673481523112712397677307703590194666353241018344919146238866852475673<203>
prime factors 素因数
1638125492787003324551406722906742022097<40>
composite cofactor 合成数の残り
24973512766276979127908003484929735907122403430297047954930447013380671305741469295365126030220439852717062038299579804113083488276417500701657217247355937762654409<164>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1729019199
Step 1 took 683145ms
Step 2 took 190619ms
********** Factor found in step 2: 1638125492787003324551406722906742022097
Found probable prime factor of 40 digits: 1638125492787003324551406722906742022097
Composite cofactor 24973512766276979127908003484929735907122403430297047954930447013380671305741469295365126030220439852717062038299579804113083488276417500701657217247355937762654409 has 164 digits

c164

name 名前RSALS + Carlos Pinho
date 日付March 1, 2011 11:44:23 UTC 2011 年 3 月 1 日 (火) 20 時 44 分 23 秒 (日本時間)
composite number 合成数
24973512766276979127908003484929735907122403430297047954930447013380671305741469295365126030220439852717062038299579804113083488276417500701657217247355937762654409<164>
prime factors 素因数
1191934117369467268485906476335394967851558916561058927<55>
20952091564752036616477239769049007213334567710803980180300713927874477546013792812530305862669885264369936967<110>
factorization results 素因数分解の結果
<sieving by the RSALS grid>

Thu Feb 24 15:11:53 2011  

Thu Feb 24 15:11:53 2011  

Thu Feb 24 15:11:53 2011  Msieve v. 1.48

Thu Feb 24 15:11:53 2011  random seeds: 21933200 c245611b

Thu Feb 24 15:11:53 2011  factoring 24973512766276979127908003484929735907122403430297047954930447013380671305741469295365126030220439852717062038299579804113083488276417500701657217247355937762654409 (164 digits)

Thu Feb 24 15:11:54 2011  searching for 15-digit factors

Thu Feb 24 15:11:54 2011  commencing number field sieve (164-digit input)

Thu Feb 24 15:11:54 2011  R0: -73203616719348149697816500718063

Thu Feb 24 15:11:54 2011  R1:  422983916724328819

Thu Feb 24 15:11:54 2011  A0: -568999597259695268896128098030753819524712

Thu Feb 24 15:11:54 2011  A1:  103858401808105466114937104004368252

Thu Feb 24 15:11:54 2011  A2:  3575537295392949795887528186

Thu Feb 24 15:11:54 2011  A3: -157017216921428122607

Thu Feb 24 15:11:54 2011  A4:  2373605273136

Thu Feb 24 15:11:54 2011  A5:  11880

Thu Feb 24 15:11:54 2011  skew 49446395.85, size 6.692e-016, alpha -8.335, combined = 8.743e-013 rroots = 3

Thu Feb 24 15:11:54 2011  

Thu Feb 24 15:11:54 2011  commencing relation filtering

Thu Feb 24 15:11:54 2011  estimated available RAM is 6142.8 MB

Thu Feb 24 15:11:54 2011  commencing duplicate removal, pass 1

Thu Feb 24 15:12:07 2011  error -15 reading relation 1281834

Thu Feb 24 15:12:08 2011  error -15 reading relation 1287572

Thu Feb 24 15:12:08 2011  error -15 reading relation 1336048

Thu Feb 24 15:12:22 2011  error -15 reading relation 3084941

Thu Feb 24 15:12:29 2011  error -15 reading relation 3935429

Thu Feb 24 15:12:29 2011  error -15 reading relation 3936991

Thu Feb 24 15:12:29 2011  error -15 reading relation 3951236

Thu Feb 24 15:12:29 2011  error -1 reading relation 3952774

Thu Feb 24 15:12:42 2011  error -9 reading relation 5560952

Thu Feb 24 15:12:42 2011  error -15 reading relation 5589656

Thu Feb 24 15:13:05 2011  error -15 reading relation 8440514

Thu Feb 24 15:13:20 2011  error -15 reading relation 10193364

Thu Feb 24 15:13:27 2011  error -9 reading relation 11120683

Thu Feb 24 15:13:42 2011  error -15 reading relation 12913707

Thu Feb 24 15:13:58 2011  error -9 reading relation 14918090

Thu Feb 24 15:14:07 2011  error -15 reading relation 15966017

Thu Feb 24 15:14:07 2011  error -15 reading relation 15966851

Thu Feb 24 15:14:07 2011  error -1 reading relation 15966968

Thu Feb 24 15:14:15 2011  error -9 reading relation 17048864

Thu Feb 24 15:14:15 2011  error -15 reading relation 17049620

Thu Feb 24 15:14:15 2011  error -9 reading relation 17049736

Thu Feb 24 15:14:23 2011  error -15 reading relation 17992554

Thu Feb 24 15:17:47 2011  error -15 reading relation 43147042

Thu Feb 24 15:18:15 2011  error -15 reading relation 46607393

Thu Feb 24 15:18:17 2011  error -15 reading relation 46793345

Thu Feb 24 15:18:17 2011  error -1 reading relation 46802450

Thu Feb 24 15:18:32 2011  error -5 reading relation 48676916

Thu Feb 24 15:19:24 2011  error -15 reading relation 55155325

Thu Feb 24 15:21:18 2011  error -9 reading relation 69175791

Thu Feb 24 15:21:19 2011  error -9 reading relation 69366829

Thu Feb 24 15:21:20 2011  error -5 reading relation 69398695

Thu Feb 24 15:22:33 2011  error -15 reading relation 78400269

Thu Feb 24 15:22:35 2011  error -9 reading relation 78634303

Thu Feb 24 15:22:35 2011  error -15 reading relation 78663028

Thu Feb 24 15:22:35 2011  error -9 reading relation 78707241

Thu Feb 24 15:23:15 2011  error -15 reading relation 83503412

Thu Feb 24 15:23:23 2011  error -15 reading relation 84482981

Thu Feb 24 15:26:28 2011  error -15 reading relation 107090482

Thu Feb 24 15:26:47 2011  error -15 reading relation 109414887

Thu Feb 24 15:27:19 2011  error -1 reading relation 113267599

Thu Feb 24 15:27:19 2011  error -9 reading relation 113297123

Thu Feb 24 15:28:08 2011  error -15 reading relation 119284498

Thu Feb 24 15:28:48 2011  error -15 reading relation 124054634

Thu Feb 24 15:28:48 2011  error -9 reading relation 124065839

Thu Feb 24 15:28:49 2011  found 29354989 hash collisions in 124245883 relations

Thu Feb 24 15:30:05 2011  added 122552 free relations

Thu Feb 24 15:30:05 2011  commencing duplicate removal, pass 2

Thu Feb 24 15:34:09 2011  found 30756415 duplicates and 93612020 unique relations

Thu Feb 24 15:34:09 2011  memory use: 724.8 MB

Thu Feb 24 15:34:09 2011  reading ideals above 106627072

Thu Feb 24 15:34:09 2011  commencing singleton removal, initial pass

Thu Feb 24 15:48:53 2011  memory use: 1506.0 MB

Thu Feb 24 15:48:53 2011  reading all ideals from disk

Thu Feb 24 15:49:06 2011  memory use: 1477.5 MB

Thu Feb 24 15:49:15 2011  commencing in-memory singleton removal

Thu Feb 24 15:49:24 2011  begin with 93612020 relations and 76646413 unique ideals

Thu Feb 24 15:50:55 2011  reduce to 57023796 relations and 35960374 ideals in 14 passes

Thu Feb 24 15:50:55 2011  max relations containing the same ideal: 33

Thu Feb 24 15:51:04 2011  reading ideals above 720000

Thu Feb 24 15:51:04 2011  commencing singleton removal, initial pass

Thu Feb 24 16:03:35 2011  memory use: 1378.0 MB

Thu Feb 24 16:03:35 2011  reading all ideals from disk

Thu Feb 24 16:03:38 2011  memory use: 2120.3 MB

Thu Feb 24 16:03:53 2011  keeping 47875341 ideals with weight <= 200, target excess is 310571

Thu Feb 24 16:04:07 2011  commencing in-memory singleton removal

Thu Feb 24 16:04:21 2011  begin with 57023796 relations and 47875341 unique ideals

Thu Feb 24 16:07:00 2011  reduce to 56836983 relations and 47688440 ideals in 12 passes

Thu Feb 24 16:07:00 2011  max relations containing the same ideal: 200

Thu Feb 24 16:07:56 2011  removing 6071648 relations and 5071648 ideals in 1000000 cliques

Thu Feb 24 16:07:59 2011  commencing in-memory singleton removal

Thu Feb 24 16:08:11 2011  begin with 50765335 relations and 47688440 unique ideals

Thu Feb 24 16:09:45 2011  reduce to 50406499 relations and 42250730 ideals in 8 passes

Thu Feb 24 16:09:45 2011  max relations containing the same ideal: 193

Thu Feb 24 16:10:34 2011  removing 4545106 relations and 3545106 ideals in 1000000 cliques

Thu Feb 24 16:10:36 2011  commencing in-memory singleton removal

Thu Feb 24 16:10:47 2011  begin with 45861393 relations and 42250730 unique ideals

Thu Feb 24 16:12:01 2011  reduce to 45619278 relations and 38459021 ideals in 7 passes

Thu Feb 24 16:12:01 2011  max relations containing the same ideal: 181

Thu Feb 24 16:12:45 2011  removing 4065052 relations and 3065052 ideals in 1000000 cliques

Thu Feb 24 16:12:47 2011  commencing in-memory singleton removal

Thu Feb 24 16:12:57 2011  begin with 41554226 relations and 38459021 unique ideals

Thu Feb 24 16:14:03 2011  reduce to 41339099 relations and 35174885 ideals in 7 passes

Thu Feb 24 16:14:03 2011  max relations containing the same ideal: 171

Thu Feb 24 16:14:43 2011  removing 3777964 relations and 2777964 ideals in 1000000 cliques

Thu Feb 24 16:14:45 2011  commencing in-memory singleton removal

Thu Feb 24 16:14:53 2011  begin with 37561135 relations and 35174885 unique ideals

Thu Feb 24 16:15:52 2011  reduce to 37344293 relations and 32175642 ideals in 7 passes

Thu Feb 24 16:15:52 2011  max relations containing the same ideal: 158

Thu Feb 24 16:16:29 2011  removing 3605999 relations and 2605999 ideals in 1000000 cliques

Thu Feb 24 16:16:30 2011  commencing in-memory singleton removal

Thu Feb 24 16:16:38 2011  begin with 33738294 relations and 32175642 unique ideals

Thu Feb 24 16:17:23 2011  reduce to 33518013 relations and 29344293 ideals in 6 passes

Thu Feb 24 16:17:23 2011  max relations containing the same ideal: 146

Thu Feb 24 16:17:56 2011  removing 3485842 relations and 2485842 ideals in 1000000 cliques

Thu Feb 24 16:17:58 2011  commencing in-memory singleton removal

Thu Feb 24 16:18:04 2011  begin with 30032171 relations and 29344293 unique ideals

Thu Feb 24 16:18:44 2011  reduce to 29792907 relations and 26613054 ideals in 6 passes

Thu Feb 24 16:18:44 2011  max relations containing the same ideal: 134

Thu Feb 24 16:19:13 2011  removing 3403540 relations and 2403540 ideals in 1000000 cliques

Thu Feb 24 16:19:15 2011  commencing in-memory singleton removal

Thu Feb 24 16:19:21 2011  begin with 26389367 relations and 26613054 unique ideals

Thu Feb 24 16:19:56 2011  reduce to 26151368 relations and 23964828 ideals in 6 passes

Thu Feb 24 16:19:56 2011  max relations containing the same ideal: 124

Thu Feb 24 16:20:21 2011  removing 3330320 relations and 2330320 ideals in 1000000 cliques

Thu Feb 24 16:20:23 2011  commencing in-memory singleton removal

Thu Feb 24 16:20:28 2011  begin with 22821048 relations and 23964828 unique ideals

Thu Feb 24 16:21:03 2011  reduce to 22546712 relations and 21351183 ideals in 7 passes

Thu Feb 24 16:21:03 2011  max relations containing the same ideal: 112

Thu Feb 24 16:21:25 2011  removing 2849860 relations and 2014594 ideals in 835266 cliques

Thu Feb 24 16:21:26 2011  commencing in-memory singleton removal

Thu Feb 24 16:21:30 2011  begin with 19696852 relations and 21351183 unique ideals

Thu Feb 24 16:22:00 2011  reduce to 19449018 relations and 19080712 ideals in 7 passes

Thu Feb 24 16:22:00 2011  max relations containing the same ideal: 103

Thu Feb 24 16:22:20 2011  removing 58886 relations and 50843 ideals in 8043 cliques

Thu Feb 24 16:22:20 2011  commencing in-memory singleton removal

Thu Feb 24 16:22:25 2011  begin with 19390132 relations and 19080712 unique ideals

Thu Feb 24 16:22:41 2011  reduce to 19390059 relations and 19029796 ideals in 4 passes

Thu Feb 24 16:22:41 2011  max relations containing the same ideal: 103

Thu Feb 24 16:22:49 2011  relations with 0 large ideals: 1042

Thu Feb 24 16:22:49 2011  relations with 1 large ideals: 2801

Thu Feb 24 16:22:49 2011  relations with 2 large ideals: 42578

Thu Feb 24 16:22:49 2011  relations with 3 large ideals: 319430

Thu Feb 24 16:22:49 2011  relations with 4 large ideals: 1310785

Thu Feb 24 16:22:49 2011  relations with 5 large ideals: 3227223

Thu Feb 24 16:22:49 2011  relations with 6 large ideals: 5051700

Thu Feb 24 16:22:49 2011  relations with 7+ large ideals: 9434500

Thu Feb 24 16:22:49 2011  commencing 2-way merge

Thu Feb 24 16:23:15 2011  reduce to 13297169 relation sets and 12936906 unique ideals

Thu Feb 24 16:23:15 2011  commencing full merge

Thu Feb 24 16:28:38 2011  memory use: 1501.2 MB

Thu Feb 24 16:28:41 2011  found 6757852 cycles, need 6709106

Thu Feb 24 16:28:41 2011  weight of 6709106 cycles is about 536841190 (80.02/cycle)

Thu Feb 24 16:28:41 2011  distribution of cycle lengths:

Thu Feb 24 16:28:41 2011  1 relations: 512114

Thu Feb 24 16:28:41 2011  2 relations: 706786

Thu Feb 24 16:28:41 2011  3 relations: 805360

Thu Feb 24 16:28:41 2011  4 relations: 793785

Thu Feb 24 16:28:41 2011  5 relations: 757074

Thu Feb 24 16:28:41 2011  6 relations: 673599

Thu Feb 24 16:28:41 2011  7 relations: 575894

Thu Feb 24 16:28:41 2011  8 relations: 472572

Thu Feb 24 16:28:41 2011  9 relations: 377163

Thu Feb 24 16:28:41 2011  10+ relations: 1034759

Thu Feb 24 16:28:41 2011  heaviest cycle: 22 relations

Thu Feb 24 16:28:43 2011  commencing cycle optimization

Thu Feb 24 16:28:56 2011  start with 39106875 relations

Thu Feb 24 16:30:44 2011  pruned 1247547 relations

Thu Feb 24 16:30:44 2011  memory use: 1214.0 MB

Thu Feb 24 16:30:44 2011  distribution of cycle lengths:

Thu Feb 24 16:30:44 2011  1 relations: 512114

Thu Feb 24 16:30:44 2011  2 relations: 724778

Thu Feb 24 16:30:44 2011  3 relations: 839731

Thu Feb 24 16:30:44 2011  4 relations: 821458

Thu Feb 24 16:30:44 2011  5 relations: 785615

Thu Feb 24 16:30:44 2011  6 relations: 690876

Thu Feb 24 16:30:44 2011  7 relations: 585655

Thu Feb 24 16:30:44 2011  8 relations: 470965

Thu Feb 24 16:30:44 2011  9 relations: 369258

Thu Feb 24 16:30:44 2011  10+ relations: 908656

Thu Feb 24 16:30:44 2011  heaviest cycle: 20 relations

Thu Feb 24 16:30:53 2011  RelProcTime: 4739

Thu Feb 24 16:30:53 2011  

Thu Feb 24 16:30:53 2011  commencing linear algebra

Thu Feb 24 16:30:55 2011  read 6709106 cycles

Thu Feb 24 16:31:10 2011  cycles contain 19196171 unique relations

Thu Feb 24 16:35:15 2011  read 19196171 relations

Thu Feb 24 16:35:57 2011  using 20 quadratic characters above 1073740782

Thu Feb 24 16:37:44 2011  building initial matrix

Thu Feb 24 16:44:12 2011  memory use: 2726.1 MB

Thu Feb 24 16:44:21 2011  read 6709106 cycles

Thu Feb 24 16:44:24 2011  matrix is 6708926 x 6709106 (2266.1 MB) with weight 719177788 (107.19/col)

Thu Feb 24 16:44:24 2011  sparse part has weight 513537859 (76.54/col)

Thu Feb 24 16:46:04 2011  filtering completed in 2 passes

Thu Feb 24 16:46:07 2011  matrix is 6708116 x 6708296 (2266.0 MB) with weight 719145725 (107.20/col)

Thu Feb 24 16:46:07 2011  sparse part has weight 513530412 (76.55/col)

Thu Feb 24 16:46:35 2011  matrix starts at (0, 0)

Thu Feb 24 16:46:38 2011  matrix is 6708116 x 6708296 (2266.0 MB) with weight 719145725 (107.20/col)

Thu Feb 24 16:46:38 2011  sparse part has weight 513530412 (76.55/col)

Thu Feb 24 16:46:38 2011  saving the first 48 matrix rows for later

Thu Feb 24 16:46:40 2011  matrix includes 64 packed rows

Thu Feb 24 16:46:41 2011  matrix is 6708068 x 6708296 (2209.8 MB) with weight 583867043 (87.04/col)

Thu Feb 24 16:46:41 2011  sparse part has weight 512198434 (76.35/col)

Thu Feb 24 16:46:41 2011  using block size 174762 for processor cache size 4096 kB

Thu Feb 24 16:46:56 2011  commencing Lanczos iteration (4 threads)

Thu Feb 24 16:46:56 2011  memory use: 2633.0 MB

Thu Feb 24 16:48:19 2011  linear algebra at 0.0%, ETA 96h45m

Thu Feb 24 16:48:46 2011  checkpointing every 70000 dimensions

Mon Feb 28 18:10:07 2011  lanczos halted after 106087 iterations (dim = 6708067)

Mon Feb 28 18:10:20 2011  recovered 30 nontrivial dependencies

Mon Feb 28 18:10:21 2011  BLanczosTime: 351568

Mon Feb 28 18:10:21 2011  

Mon Feb 28 18:10:21 2011  commencing square root phase

Mon Feb 28 18:10:21 2011  reading relations for dependency 1

Mon Feb 28 18:10:25 2011  read 3353782 cycles

Mon Feb 28 18:10:33 2011  cycles contain 9597142 unique relations

Mon Feb 28 18:14:06 2011  read 9597142 relations

Mon Feb 28 18:15:18 2011  multiplying 9597142 relations

Mon Feb 28 18:32:15 2011  multiply complete, coefficients have about 502.45 million bits

Mon Feb 28 18:32:24 2011  initial square root is modulo 1036513559

Mon Feb 28 18:53:54 2011  reading relations for dependency 2

Mon Feb 28 18:54:00 2011  read 3352966 cycles

Mon Feb 28 18:54:07 2011  cycles contain 9596492 unique relations

Mon Feb 28 18:57:16 2011  read 9596492 relations

Mon Feb 28 18:58:28 2011  multiplying 9596492 relations

Mon Feb 28 19:15:23 2011  multiply complete, coefficients have about 502.42 million bits

Mon Feb 28 19:15:32 2011  initial square root is modulo 1035015413

Mon Feb 28 19:37:03 2011  reading relations for dependency 3

Mon Feb 28 19:37:05 2011  read 3353263 cycles

Mon Feb 28 19:37:13 2011  cycles contain 9592818 unique relations

Mon Feb 28 19:40:47 2011  read 9592818 relations

Mon Feb 28 19:41:59 2011  multiplying 9592818 relations

Mon Feb 28 19:58:50 2011  multiply complete, coefficients have about 502.21 million bits

Mon Feb 28 19:58:58 2011  initial square root is modulo 1026266207

Mon Feb 28 20:20:27 2011  sqrtTime: 7806

Mon Feb 28 20:20:27 2011  prp55 factor: 1191934117369467268485906476335394967851558916561058927

Mon Feb 28 20:20:27 2011  prp110 factor: 20952091564752036616477239769049007213334567710803980180300713927874477546013792812530305862669885264369936967

Mon Feb 28 20:20:27 2011  elapsed time 101:08:34
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve 1.48

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerOctober 30, 2010 12:53:28 UTC 2010 年 10 月 30 日 (土) 21 時 53 分 28 秒 (日本時間)
5043e68133250Dmitry DomanovNovember 22, 2010 10:42:09 UTC 2010 年 11 月 22 日 (月) 19 時 42 分 9 秒 (日本時間)
800Dmitry DomanovNovember 23, 2010 11:08:50 UTC 2010 年 11 月 23 日 (火) 20 時 8 分 50 秒 (日本時間)
4000Lionel DebrouxJanuary 16, 2011 07:55:20 UTC 2011 年 1 月 16 日 (日) 16 時 55 分 20 秒 (日本時間)
1540Lionel DebrouxJanuary 20, 2011 14:10:46 UTC 2011 年 1 月 20 日 (木) 23 時 10 分 46 秒 (日本時間)
1543Lionel DebrouxJanuary 21, 2011 06:39:03 UTC 2011 年 1 月 21 日 (金) 15 時 39 分 3 秒 (日本時間)
5511e7142 / 1482610Dmitry DomanovNovember 23, 2010 11:08:50 UTC 2010 年 11 月 23 日 (火) 20 時 8 分 50 秒 (日本時間)
10Dmitry DomanovNovember 23, 2010 11:09:23 UTC 2010 年 11 月 23 日 (火) 20 時 9 分 23 秒 (日本時間)
119Lionel DebrouxJanuary 21, 2011 06:39:25 UTC 2011 年 1 月 21 日 (金) 15 時 39 分 25 秒 (日本時間)
3Lionel DebrouxJanuary 21, 2011 06:42:50 UTC 2011 年 1 月 21 日 (金) 15 時 42 分 50 秒 (日本時間)

7×10298-619

c282

name 名前Dmitry Domanov
date 日付June 27, 2011 06:08:24 UTC 2011 年 6 月 27 日 (月) 15 時 8 分 24 秒 (日本時間)
composite number 合成数
189298496333787508354921505632994683221700688622973497733668005079718430165817246089067203884614410846948128937507376805966991697481578374999457677097932401686291899851267282938820318664164904190602498664924232298778588520733623441885008461374181788116192890023227909188665843132531<282>
prime factors 素因数
88357866836141573776196554931833539947309034287<47>
composite cofactor 合成数の残り
2142406818001151135571625144618528608928451629097190519984862679454830536773019154109021656707405238397223540822854366249259433957418226097887980413550833638603592257050011785961122245901094815552540451650194709549261284368917893756413<235>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=238924705
Step 1 took 661905ms
Step 2 took 145052ms
********** Factor found in step 2: 88357866836141573776196554931833539947309034287
Found probable prime factor of 47 digits: 88357866836141573776196554931833539947309034287
Composite cofactor 2142406818001151135571625144618528608928451629097190519984862679454830536773019154109021656707405238397223540822854366249259433957418226097887980413550833638603592257050011785961122245901094815552540451650194709549261284368917893756413 has 235 digits

c235

name 名前Polybius
date 日付May 15, 2012 02:12:12 UTC 2012 年 5 月 15 日 (火) 11 時 12 分 12 秒 (日本時間)
composite number 合成数
2142406818001151135571625144618528608928451629097190519984862679454830536773019154109021656707405238397223540822854366249259433957418226097887980413550833638603592257050011785961122245901094815552540451650194709549261284368917893756413<235>
prime factors 素因数
1729856004435067700376166678974773890938147703116375672361<58>
composite cofactor 合成数の残り
1238488528818798017939630111174764695113088368923635786619776774461606058505792266741768354784545999960737241087335728998585566827055960354605390239498033338214454303293341508533<178>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 2142406818001151135571625144618528608928451629097190519984862679454830536773019154109021656707405238397223540822854366249259433957418226097887980413550833638603592257050011785961122245901094815552540451650194709549261284368917893756413 (235 digits)
[Mon May 14 15:01:44 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=3209778788
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35        40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 591743ms
Using 28 small primes for NTT
Estimated memory usage: 834M
Initializing tables of differences for F took 390ms
Computing roots of F took 17940ms
Building F from its roots took 13276ms
Computing 1/F took 5413ms
Initializing table of differences for G took 328ms
Computing roots of G took 15100ms
Building G from its roots took 12886ms
Computing roots of G took 15381ms
Building G from its roots took 13026ms
Computing G * H took 2793ms
Reducing  G * H mod F took 2902ms
Computing roots of G took 15100ms
Building G from its roots took 12839ms
Computing G * H took 3073ms
Reducing  G * H mod F took 2902ms
Computing roots of G took 15304ms
Building G from its roots took 12963ms
Computing G * H took 3058ms
Reducing  G * H mod F took 2886ms
Computing polyeval(F,G) took 27613ms
Computing product of all F(g_i) took 109ms
Step 2 took 195953ms
********** Factor found in step 2: 1729856004435067700376166678974773890938147703116375672361
Found probable prime factor of 58 digits: 1729856004435067700376166678974773890938147703116375672361
Composite cofactor 1238488528818798017939630111174764695113088368923635786619776774461606058505792266741768354784545999960737241087335728998585566827055960354605390239498033338214454303293341508533 has 178 digits
software ソフトウェア
GMP-ECM

c178

name 名前Erik Branger
date 日付November 25, 2014 16:50:37 UTC 2014 年 11 月 26 日 (水) 1 時 50 分 37 秒 (日本時間)
composite number 合成数
1238488528818798017939630111174764695113088368923635786619776774461606058505792266741768354784545999960737241087335728998585566827055960354605390239498033338214454303293341508533<178>
prime factors 素因数
34469806173197772893557221850211539219919860751931683057218667<62>
35929663270975773945208270202110954209003667558395719445331251253551490105396307702513265676849076669689398066581599<116>
factorization results 素因数分解の結果
Number: 77771_298
N = 1238488528818798017939630111174764695113088368923635786619776774461606058505792266741768354784545999960737241087335728998585566827055960354605390239498033338214454303293341508533 (178 digits)
Divisors found:
r1=34469806173197772893557221850211539219919860751931683057218667 (pp62)
r2=35929663270975773945208270202110954209003667558395719445331251253551490105396307702513265676849076669689398066581599 (pp116)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 14381.59 hours.
Factorization parameters were as follows:
# Murphy_E = 1.25e-13, selected by Erik Branger
# Polynomial selection time: 600 hours using Msieve on a GTX760
n: 1238488528818798017939630111174764695113088368923635786619776774461606058505792266741768354784545999960737241087335728998585566827055960354605390239498033338214454303293341508533
Y0: -50007985164397411405521617904412092
Y1: 1632969483417250643
c0: 197461944301254587068536803545794403826093419
c1: -6045815115407106492956712565470778825
c2: -146820987061990775413353885317
c3: 1939789693626539622585
c4: 4802713372914
c5: 3960
skew: 165003214.73
type: gnfs
# selected mechanically
rlim: 200000000
alim: 200000000
lpbr: 31
lpba: 31
mfbr: 62
mfba: 62
rlambda: 2.7
alambda: 2.7
Factor base limits: 200000000/200000000
Large primes per side: 3
Large prime bits: 31/31
Sieved algebraic special-q in [0, 0)
Total raw relations: 200366867
Relations: 22527852 relations
Pruned matrix : 16356321 x 16356508
Polynomial selection time: 0.00 hours.
Total sieving time: 14090.13 hours.
Total relation processing time: 1.42 hours.
Matrix solve time: 289.18 hours.
time per square root: 0.85 hours.
Prototype def-par.txt line would be: gnfs,177,5,65,2000,1e-05,0.28,250,20,50000,3600,200000000,200000000,31,31,62,62,2.7,2.7,100000
total time: 14381.59 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6600Erik BrangerOctober 30, 2010 07:32:03 UTC 2010 年 10 月 30 日 (土) 16 時 32 分 3 秒 (日本時間)
5043e61080480Dmitry DomanovJune 26, 2011 22:42:44 UTC 2011 年 6 月 27 日 (月) 7 時 42 分 44 秒 (日本時間)
600Dmitry DomanovJuly 9, 2011 14:04:21 UTC 2011 年 7 月 9 日 (土) 23 時 4 分 21 秒 (日本時間)
5511e78343 / 173432635yoyo@homeDecember 6, 2011 17:05:58 UTC 2011 年 12 月 7 日 (水) 2 時 5 分 58 秒 (日本時間)
1535yoyo@homeMay 12, 2012 08:57:50 UTC 2012 年 5 月 12 日 (土) 17 時 57 分 50 秒 (日本時間)
4173Erik BrangerJanuary 20, 2014 17:20:24 UTC 2014 年 1 月 21 日 (火) 2 時 20 分 24 秒 (日本時間)

7×10299-619

c299

composite cofactor 合成数の残り
77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771<299>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62350500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
1850Serge BatalovOctober 5, 2010 07:09:05 UTC 2010 年 10 月 5 日 (火) 16 時 9 分 5 秒 (日本時間)
4511e620001000Serge BatalovOctober 5, 2010 18:09:27 UTC 2010 年 10 月 6 日 (水) 3 時 9 分 27 秒 (日本時間)
1000Serge BatalovOctober 29, 2010 06:48:06 UTC 2010 年 10 月 29 日 (金) 15 時 48 分 6 秒 (日本時間)
5043e61654254Dmitry DomanovOctober 18, 2010 16:45:08 UTC 2010 年 10 月 19 日 (火) 1 時 45 分 8 秒 (日本時間)
100Serge BatalovOctober 29, 2010 06:48:47 UTC 2010 年 10 月 29 日 (金) 15 時 48 分 47 秒 (日本時間)
300Serge BatalovOctober 29, 2010 21:02:05 UTC 2010 年 10 月 30 日 (土) 6 時 2 分 5 秒 (日本時間)
1000Dmitry DomanovNovember 4, 2010 07:12:49 UTC 2010 年 11 月 4 日 (木) 16 時 12 分 49 秒 (日本時間)
5511e78575 / 1679725Dmitry DomanovOctober 18, 2010 16:45:08 UTC 2010 年 10 月 19 日 (火) 1 時 45 分 8 秒 (日本時間)
400Dmitry DomanovNovember 4, 2010 07:12:49 UTC 2010 年 11 月 4 日 (木) 16 時 12 分 49 秒 (日本時間)
50Markus TervoorenNovember 9, 2010 04:11:15 UTC 2010 年 11 月 9 日 (火) 13 時 11 分 15 秒 (日本時間)
1600Dmitry DomanovNovember 10, 2010 19:12:28 UTC 2010 年 11 月 11 日 (木) 4 時 12 分 28 秒 (日本時間)
2000Dmitry DomanovNovember 22, 2011 19:46:27 UTC 2011 年 11 月 23 日 (水) 4 時 46 分 27 秒 (日本時間)
3500Serge BatalovOctober 9, 2013 06:36:48 UTC 2013 年 10 月 9 日 (水) 15 時 36 分 48 秒 (日本時間)
1000Erik BrangerAugust 20, 2016 07:36:13 UTC 2016 年 8 月 20 日 (土) 16 時 36 分 13 秒 (日本時間)
6026e7100 / 3854580Dmitry DomanovNovember 10, 2010 19:12:28 UTC 2010 年 11 月 11 日 (木) 4 時 12 分 28 秒 (日本時間)
20Dmitry DomanovFebruary 2, 2011 20:51:10 UTC 2011 年 2 月 3 日 (木) 5 時 51 分 10 秒 (日本時間)
6585e71 / 68543Lionel DebrouxNovember 30, 2010 06:49:49 UTC 2010 年 11 月 30 日 (火) 15 時 49 分 49 秒 (日本時間)

7×10300-619

c281

name 名前Erik Branger
date 日付October 29, 2010 19:24:32 UTC 2010 年 10 月 30 日 (土) 4 時 24 分 32 秒 (日本時間)
composite number 合成数
13269872007712249929338550145866962607982330828604663730589389933227949061838845963321748380773396304276041208894330645062813968372412738092581810400074482847330320353233618396629891544587298691553178036724609787574972274463274151592025773750648593431631480544508106475530989761733<281>
prime factors 素因数
1450457167656424610044277275032726803<37>
composite cofactor 合成数の残り
9148751375508067226695720676783028528259166418773213572745513073195952294667588398414119251675631935260723925464283727316599454981781985645822680232525047659651479788195111129555125094845723569610411600242273310275192678826797699944786562042311<244>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1 and --enable-asm-redc] [ECM]
Input number is 13269872007712249929338550145866962607982330828604663730589389933227949061838845963321748380773396304276041208894330645062813968372412738092581810400074482847330320353233618396629891544587298691553178036724609787574972274463274151592025773750648593431631480544508106475530989761733 (281 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3311479393
Step 1 took 154441ms
Step 2 took 52744ms
********** Factor found in step 2: 1450457167656424610044277275032726803
Found probable prime factor of 37 digits: 1450457167656424610044277275032726803
Composite cofactor 9148751375508067226695720676783028528259166418773213572745513073195952294667588398414119251675631935260723925464283727316599454981781985645822680232525047659651479788195111129555125094845723569610411600242273310275192678826797699944786562042311 has 244 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
403e6500Erik BrangerOctober 4, 2010 07:00:00 UTC 2010 年 10 月 4 日 (月) 16 時 0 分 0 秒 (日本時間)
4511e6800600Erik BrangerOctober 29, 2010 19:24:06 UTC 2010 年 10 月 30 日 (土) 4 時 24 分 6 秒 (日本時間)
200Dmitry DomanovApril 25, 2011 19:29:03 UTC 2011 年 4 月 26 日 (火) 4 時 29 分 3 秒 (日本時間)
5043e61040480Dmitry DomanovJune 17, 2011 22:41:55 UTC 2011 年 6 月 18 日 (土) 7 時 41 分 55 秒 (日本時間)
560Dmitry DomanovJune 18, 2011 20:51:57 UTC 2011 年 6 月 19 日 (日) 5 時 51 分 57 秒 (日本時間)
5511e76260 / 173442630yoyo@homeDecember 6, 2011 19:37:37 UTC 2011 年 12 月 7 日 (水) 4 時 37 分 37 秒 (日本時間)
2630yoyo@homeMay 12, 2012 09:17:56 UTC 2012 年 5 月 12 日 (土) 18 時 17 分 56 秒 (日本時間)
1000Erik BrangerAugust 21, 2016 17:01:03 UTC 2016 年 8 月 22 日 (月) 2 時 1 分 3 秒 (日本時間)