Table of contents 目次

11×10107+619

c90

name 名前Robert Backstrom
date 日付February 11, 2008 23:43:02 UTC 2008 年 2 月 12 日 (火) 8 時 43 分 2 秒 (日本時間)
composite number 合成数
979294314485608729379659265652592455768584086435122697907223765060392284274205698203011829<90>
prime factors 素因数
8254078063236444636671476566658758452630059<43>
118643694302743846510055142733530124877331720031<48>
factorization results 素因数分解の結果
Tue Feb 12 09:14:45 2008  
Tue Feb 12 09:14:45 2008  
Tue Feb 12 09:14:45 2008  Msieve v. 1.33
Tue Feb 12 09:14:45 2008  random seeds: fbd5dde8 054b1945
Tue Feb 12 09:14:45 2008  factoring 979294314485608729379659265652592455768584086435122697907223765060392284274205698203011829 (90 digits)
Tue Feb 12 09:14:46 2008  searching for 15-digit factors
Tue Feb 12 09:14:46 2008  commencing quadratic sieve (90-digit input)
Tue Feb 12 09:14:46 2008  using multiplier of 5
Tue Feb 12 09:14:46 2008  using 64kb Opteron sieve core
Tue Feb 12 09:14:46 2008  sieve interval: 18 blocks of size 65536
Tue Feb 12 09:14:46 2008  processing polynomials in batches of 6
Tue Feb 12 09:14:46 2008  using a sieve bound of 1616231 (61176 primes)
Tue Feb 12 09:14:46 2008  using large prime bound of 135763404 (27 bits)
Tue Feb 12 09:14:46 2008  using double large prime bound of 435520718464356 (42-49 bits)
Tue Feb 12 09:14:46 2008  using trial factoring cutoff of 49 bits
Tue Feb 12 09:14:46 2008  polynomial 'A' values have 12 factors
Tue Feb 12 10:14:53 2008  61405 relations (16554 full + 44851 combined from 665810 partial), need 61272
Tue Feb 12 10:14:53 2008  begin with 682363 relations
Tue Feb 12 10:14:54 2008  reduce to 149843 relations in 12 passes
Tue Feb 12 10:14:54 2008  attempting to read 149843 relations
Tue Feb 12 10:14:55 2008  recovered 149843 relations
Tue Feb 12 10:14:55 2008  recovered 130637 polynomials
Tue Feb 12 10:14:55 2008  attempting to build 61405 cycles
Tue Feb 12 10:14:55 2008  found 61405 cycles in 6 passes
Tue Feb 12 10:14:56 2008  distribution of cycle lengths:
Tue Feb 12 10:14:56 2008     length 1 : 16554
Tue Feb 12 10:14:56 2008     length 2 : 11742
Tue Feb 12 10:14:56 2008     length 3 : 10834
Tue Feb 12 10:14:56 2008     length 4 : 8104
Tue Feb 12 10:14:56 2008     length 5 : 5795
Tue Feb 12 10:14:56 2008     length 6 : 3613
Tue Feb 12 10:14:56 2008     length 7 : 2201
Tue Feb 12 10:14:56 2008     length 9+: 2562
Tue Feb 12 10:14:56 2008  largest cycle: 21 relations
Tue Feb 12 10:14:56 2008  matrix is 61176 x 61405 (15.1 MB) with weight 3715538 (60.51/col)
Tue Feb 12 10:14:56 2008  sparse part has weight 3715538 (60.51/col)
Tue Feb 12 10:14:56 2008  filtering completed in 3 passes
Tue Feb 12 10:14:56 2008  matrix is 57197 x 57261 (14.2 MB) with weight 3488523 (60.92/col)
Tue Feb 12 10:14:56 2008  sparse part has weight 3488523 (60.92/col)
Tue Feb 12 10:14:57 2008  saving the first 48 matrix rows for later
Tue Feb 12 10:14:57 2008  matrix is 57149 x 57261 (9.3 MB) with weight 2781100 (48.57/col)
Tue Feb 12 10:14:57 2008  sparse part has weight 2101395 (36.70/col)
Tue Feb 12 10:14:57 2008  matrix includes 64 packed rows
Tue Feb 12 10:14:57 2008  using block size 22904 for processor cache size 1024 kB
Tue Feb 12 10:14:57 2008  commencing Lanczos iteration
Tue Feb 12 10:14:57 2008  memory use: 8.9 MB
Tue Feb 12 10:15:16 2008  lanczos halted after 905 iterations (dim = 57147)
Tue Feb 12 10:15:16 2008  recovered 16 nontrivial dependencies
Tue Feb 12 10:15:16 2008  prp43 factor: 8254078063236444636671476566658758452630059
Tue Feb 12 10:15:16 2008  prp48 factor: 118643694302743846510055142733530124877331720031
Tue Feb 12 10:15:16 2008  elapsed time 01:00:31

11×10109+619

c91

name 名前Robert Backstrom
date 日付February 11, 2008 14:05:48 UTC 2008 年 2 月 11 日 (月) 23 時 5 分 48 秒 (日本時間)
composite number 合成数
1442442739064094192991689946160235698418043966956744220577720724348973713048047521130677937<91>
prime factors 素因数
25963864742768432702463389177291<32>
55555779286126867906535634003991867240948718030556740625907<59>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 1442442739064094192991689946160235698418043966956744220577720724348973713048047521130677937 (91 digits)
Using B1=926000, B2=871204962, polynomial Dickson(3), sigma=511613662
Step 1 took 6363ms
Step 2 took 2859ms
********** Factor found in step 2: 25963864742768432702463389177291
Found probable prime factor of 32 digits: 25963864742768432702463389177291
Probable prime cofactor 55555779286126867906535634003991867240948718030556740625907 has 59 digits

11×10112+619

c96

name 名前Robert Backstrom
date 日付February 11, 2008 22:04:53 UTC 2008 年 2 月 12 日 (火) 7 時 4 分 53 秒 (日本時間)
composite number 合成数
272418513167786237420151825616352126546278223185501841727497885100290016331092523119390229177397<96>
prime factors 素因数
23364777919548735601339497408589195152559<41>
11659366680299595782072792886752985694167830402696085083<56>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 272418513167786237420151825616352126546278223185501841727497885100290016331092523119390229177397 (96 digits)
Using B1=3256000, B2=4513712759, polynomial Dickson(6), sigma=672611997
Step 1 took 18441ms
Step 2 took 9946ms
********** Factor found in step 2: 23364777919548735601339497408589195152559
Found probable prime factor of 41 digits: 23364777919548735601339497408589195152559
Probable prime cofactor 11659366680299595782072792886752985694167830402696085083 has 56 digits

11×10113+619

c108

name 名前Sinkiti Sibata
date 日付February 12, 2008 01:11:08 UTC 2008 年 2 月 12 日 (火) 10 時 11 分 8 秒 (日本時間)
composite number 合成数
138023263444626509676497310867663169533598061952620126978892855175577511292498774416158458736878849829560091<108>
prime factors 素因数
89185329511743931743340432259475771218472031894737047<53>
1547600532511926130818633628615142423602309348889997853<55>
factorization results 素因数分解の結果
Number: 12229_113
N=138023263444626509676497310867663169533598061952620126978892855175577511292498774416158458736878849829560091
  ( 108 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=89185329511743931743340432259475771218472031894737047 (pp53)
 r2=1547600532511926130818633628615142423602309348889997853 (pp55)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 2.44 hours.
Scaled time: 1.65 units (timescale=0.676).
Factorization parameters were as follows:
name:12229_113
n: 138023263444626509676497310867663169533598061952620126978892855175577511292498774416158458736878849829560091
m: 10000000000000000000000
c5: 11000
c0: 61
skew: 0.35
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 550001)
Primes: RFBsize:49098, AFBsize:63930, largePrimes:2203646 encountered
Relations: rels:2410372, finalFF:336430
Max relations in full relation-set: 28
Initial matrix: 113095 x 336430 with sparse part having weight 29283357.
Pruned matrix : 73057 x 73686 with weight 5021225.
Total sieving time: 2.24 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,114,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.44 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

11×10115+619

c110

name 名前Sinkiti Sibata
date 日付February 12, 2008 03:24:55 UTC 2008 年 2 月 12 日 (火) 12 時 24 分 55 秒 (日本時間)
composite number 合成数
88830099513937846386916456906499859890706675743487744272679333838857354203561440953421533546687081438627688019<110>
prime factors 素因数
7212822845172862724558959691868961<34>
12315580379654942378938247217218906466558770709724027914022290754605779304179<77>
factorization results 素因数分解の結果
Number: 12229_115
N=88830099513937846386916456906499859890706675743487744272679333838857354203561440953421533546687081438627688019
  ( 110 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=7212822845172862724558959691868961 (pp34)
 r2=12315580379654942378938247217218906466558770709724027914022290754605779304179 (pp77)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 1.61 hours.
Scaled time: 1.09 units (timescale=0.675).
Factorization parameters were as follows:
name: 12229_115
n: 88830099513937846386916456906499859890706675743487744272679333838857354203561440953421533546687081438627688019
m: 100000000000000000000000
c5: 11
c0: 61
skew: 1.41
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 500001)
Primes: RFBsize:49098, AFBsize:64130, largePrimes:1981292 encountered
Relations: rels:1990054, finalFF:180327
Max relations in full relation-set: 28
Initial matrix: 113295 x 180327 with sparse part having weight 13872256.
Pruned matrix : 90740 x 91370 with weight 4669829.
Total sieving time: 1.41 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.61 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

11×10117+619

c91

name 名前Robert Backstrom
date 日付February 11, 2008 13:37:28 UTC 2008 年 2 月 11 日 (月) 22 時 37 分 28 秒 (日本時間)
composite number 合成数
3636773982279863365639680320380286009668622822498700169186485115298743740095729392031758733<91>
prime factors 素因数
263003561317130722985502794515043<33>
13827850710715765070628800684573938236616215726252446506831<59>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 3636773982279863365639680320380286009668622822498700169186485115298743740095729392031758733 (91 digits)
Using B1=282000, B2=138275608, polynomial Dickson(3), sigma=2790588809
Step 1 took 1603ms
Step 2 took 1228ms
********** Factor found in step 2: 263003561317130722985502794515043
Found probable prime factor of 33 digits: 263003561317130722985502794515043
Probable prime cofactor 13827850710715765070628800684573938236616215726252446506831 has 59 digits

11×10119+619

c99

name 名前Robert Backstrom
date 日付February 12, 2008 13:18:21 UTC 2008 年 2 月 12 日 (火) 22 時 18 分 21 秒 (日本時間)
composite number 合成数
117130446887612254743317289337618603555793615683610795182304459859203598933750583971206477797268437<99>
prime factors 素因数
297331187884013676219113574010340108544431<42>
393939323086765551889841121296691017236081365848804304827<57>
factorization results 素因数分解の結果
Tue Feb 12 15:42:39 2008  
Tue Feb 12 15:42:39 2008  
Tue Feb 12 15:42:39 2008  Msieve v. 1.33
Tue Feb 12 15:42:39 2008  random seeds: ac273248 99b8daf8
Tue Feb 12 15:42:39 2008  factoring 117130446887612254743317289337618603555793615683610795182304459859203598933750583971206477797268437 (99 digits)
Tue Feb 12 15:42:40 2008  searching for 15-digit factors
Tue Feb 12 15:42:41 2008  commencing quadratic sieve (99-digit input)
Tue Feb 12 15:42:41 2008  using multiplier of 1
Tue Feb 12 15:42:41 2008  using 64kb Opteron sieve core
Tue Feb 12 15:42:41 2008  sieve interval: 18 blocks of size 65536
Tue Feb 12 15:42:41 2008  processing polynomials in batches of 6
Tue Feb 12 15:42:41 2008  using a sieve bound of 2542919 (92845 primes)
Tue Feb 12 15:42:41 2008  using large prime bound of 381437850 (28 bits)
Tue Feb 12 15:42:41 2008  using double large prime bound of 2796164870269350 (43-52 bits)
Tue Feb 12 15:42:41 2008  using trial factoring cutoff of 52 bits
Tue Feb 12 15:42:41 2008  polynomial 'A' values have 13 factors
Wed Feb 13 00:08:09 2008  93124 relations (21863 full + 71261 combined from 1412845 partial), need 92941
Wed Feb 13 00:08:11 2008  begin with 1434707 relations
Wed Feb 13 00:08:12 2008  reduce to 247553 relations in 11 passes
Wed Feb 13 00:08:12 2008  attempting to read 247553 relations
Wed Feb 13 00:08:16 2008  recovered 247553 relations
Wed Feb 13 00:08:16 2008  recovered 237150 polynomials
Wed Feb 13 00:08:16 2008  attempting to build 93124 cycles
Wed Feb 13 00:08:16 2008  found 93123 cycles in 5 passes
Wed Feb 13 00:08:17 2008  distribution of cycle lengths:
Wed Feb 13 00:08:17 2008     length 1 : 21863
Wed Feb 13 00:08:17 2008     length 2 : 15753
Wed Feb 13 00:08:17 2008     length 3 : 15456
Wed Feb 13 00:08:17 2008     length 4 : 12692
Wed Feb 13 00:08:17 2008     length 5 : 9820
Wed Feb 13 00:08:17 2008     length 6 : 6695
Wed Feb 13 00:08:17 2008     length 7 : 4456
Wed Feb 13 00:08:17 2008     length 9+: 6388
Wed Feb 13 00:08:17 2008  largest cycle: 21 relations
Wed Feb 13 00:08:18 2008  matrix is 92845 x 93123 (25.1 MB) with weight 6203991 (66.62/col)
Wed Feb 13 00:08:18 2008  sparse part has weight 6203991 (66.62/col)
Wed Feb 13 00:08:20 2008  filtering completed in 3 passes
Wed Feb 13 00:08:20 2008  matrix is 89183 x 89247 (24.1 MB) with weight 5972500 (66.92/col)
Wed Feb 13 00:08:20 2008  sparse part has weight 5972500 (66.92/col)
Wed Feb 13 00:08:21 2008  saving the first 48 matrix rows for later
Wed Feb 13 00:08:21 2008  matrix is 89135 x 89247 (14.6 MB) with weight 4655973 (52.17/col)
Wed Feb 13 00:08:21 2008  sparse part has weight 3297383 (36.95/col)
Wed Feb 13 00:08:21 2008  matrix includes 64 packed rows
Wed Feb 13 00:08:21 2008  using block size 21845 for processor cache size 512 kB
Wed Feb 13 00:08:22 2008  commencing Lanczos iteration
Wed Feb 13 00:08:22 2008  memory use: 14.5 MB
Wed Feb 13 00:09:40 2008  lanczos halted after 1411 iterations (dim = 89133)
Wed Feb 13 00:09:40 2008  recovered 15 nontrivial dependencies
Wed Feb 13 00:09:41 2008  prp42 factor: 297331187884013676219113574010340108544431
Wed Feb 13 00:09:41 2008  prp57 factor: 393939323086765551889841121296691017236081365848804304827
Wed Feb 13 00:09:41 2008  elapsed time 08:27:02

11×10123+619

c99

name 名前Robert Backstrom
date 日付February 12, 2008 00:54:12 UTC 2008 年 2 月 12 日 (火) 9 時 54 分 12 秒 (日本時間)
composite number 合成数
129361041132907711288024614211894650311321702762232554416003033514132326809107206608063968053261877<99>
prime factors 素因数
10137105138517733202360425644260487744453606741<47>
12761142295089496212129634669299067935927677632288097<53>
factorization results 素因数分解の結果
Number: n
N=129361041132907711288024614211894650311321702762232554416003033514132326809107206608063968053261877
  ( 99 digits)
SNFS difficulty: 124 digits.
Divisors found:

Tue Feb 12 11:48:55 2008  prp47 factor: 10137105138517733202360425644260487744453606741
Tue Feb 12 11:48:55 2008  prp53 factor: 12761142295089496212129634669299067935927677632288097
Tue Feb 12 11:48:55 2008  elapsed time 00:09:53 (Msieve 1.33)

Version: GGNFS-0.77.1-20050930-k8
Total time: 2.11 hours.
Scaled time: 1.77 units (timescale=0.838).
Factorization parameters were as follows:
name: KA_1_2_122_9
n: 129361041132907711288024614211894650311321702762232554416003033514132326809107206608063968053261877
type: snfs
deg: 5
c5: 11000
c0: 61
skew: 0.24
m: 1000000000000000000000000
rlim: 700000
alim: 700000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved  special-q in [100000, 350001)
Primes: RFBsize:56543, AFBsize:56425, largePrimes:2054212 encountered
Relations: rels:2103983, finalFF:203790
Max relations in full relation-set: 28
Initial matrix: 113035 x 203790 with sparse part having weight 17909229.
Pruned matrix : 
Total sieving time: 2.05 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,124,5,0,0,0,0,0,0,0,0,700000,700000,25,25,46,46,2.5,2.5,50000
total time: 2.11 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).

11×10131+619

c106

name 名前Robert Backstrom
date 日付February 12, 2008 17:41:12 UTC 2008 年 2 月 13 日 (水) 2 時 41 分 12 秒 (日本時間)
composite number 合成数
7828136829133856296228799392803241434599084869328918335227018985215989728730754311284916914786485163345363<106>
prime factors 素因数
27843156313687337057580167590404968827671407657<47>
281151200709441301666481826274926616585678854755382437224859<60>
factorization results 素因数分解の結果
Number: n
N=7828136829133856296228799392803241434599084869328918335227018985215989728730754311284916914786485163345363
  ( 106 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=27843156313687337057580167590404968827671407657 (pp47)
 r2=281151200709441301666481826274926616585678854755382437224859 (pp60)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 5.23 hours.
Scaled time: 9.15 units (timescale=1.749).
Factorization parameters were as follows:
name: KA_1_2_130_9
n: 7828136829133856296228799392803241434599084869328918335227018985215989728730754311284916914786485163345363
type: snfs
skew: 0.89
deg: 5
c5: 110
c0: 61
m: 100000000000000000000000000
rlim: 1500000
alim: 1500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 100000)
Primes: RFBsize:114155, AFBsize:114754, largePrimes:4459635 encountered
Relations: rels:3776537, finalFF:262915
Max relations in full relation-set: 28
Initial matrix: 228976 x 262915 with sparse part having weight 9371341.
Pruned matrix : 190800 x 192008 with weight 5465175.
Total sieving time: 4.71 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.38 hours.
Total square root time: 0.02 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.2,2.2,50000
total time: 5.23 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

11×10134+619

c86

name 名前Robert Backstrom
date 日付February 11, 2008 13:28:46 UTC 2008 年 2 月 11 日 (月) 22 時 28 分 46 秒 (日本時間)
composite number 合成数
36667436170978044391788883326051788077030308910121781337982376047659288651432850339323<86>
prime factors 素因数
72262687717088370908767938209<29>
507418660021790002190944224034674082883979558173581771547<57>
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 36667436170978044391788883326051788077030308910121781337982376047659288651432850339323 (86 digits)
Using B1=428000, B2=250562999, polynomial Dickson(3), sigma=40110239
Step 1 took 3109ms
Step 2 took 2531ms
********** Factor found in step 2: 72262687717088370908767938209
Found probable prime factor of 29 digits: 72262687717088370908767938209
Probable prime cofactor 507418660021790002190944224034674082883979558173581771547 has 57 digits

11×10135+619

c133

name 名前Sinkiti Sibata
date 日付February 12, 2008 12:05:33 UTC 2008 年 2 月 12 日 (火) 21 時 5 分 33 秒 (日本時間)
composite number 合成数
2722098490472655283345706508290027220984904726552833457065082900272209849047265528334570650829002722098490472655283345706508290027221<133>
prime factors 素因数
44733788040439743106075919870152803049769<41>
60851061573677909538404481871209053051577251320251971454994510548611542213319025413140789709<92>
factorization results 素因数分解の結果
Number: 12229_135
N=2722098490472655283345706508290027220984904726552833457065082900272209849047265528334570650829002722098490472655283345706508290027221
  ( 133 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=44733788040439743106075919870152803049769 (pp41)
 r2=60851061573677909538404481871209053051577251320251971454994510548611542213319025413140789709 (pp92)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 8.34 hours.
Scaled time: 5.63 units (timescale=0.675).
Factorization parameters were as follows:
name: 12229_135
n: 2722098490472655283345706508290027220984904726552833457065082900272209849047265528334570650829002722098490472655283345706508290027221
m: 1000000000000000000000000000
c5: 11
c0: 61
skew: 1.41
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1225001)
Primes: RFBsize:78498, AFBsize:64130, largePrimes:1529572 encountered
Relations: rels:1534791, finalFF:178563
Max relations in full relation-set: 28
Initial matrix: 142695 x 178563 with sparse part having weight 14130024.
Pruned matrix : 131056 x 131833 with weight 8673274.
Total sieving time: 7.84 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.35 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 8.34 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

11×10137+619

c137

name 名前Sinkiti Sibata
date 日付February 13, 2008 05:31:02 UTC 2008 年 2 月 13 日 (水) 14 時 31 分 2 秒 (日本時間)
composite number 合成数
40740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743<137>
prime factors 素因数
2608315158960413241863591725014062287<37>
3302992739511359700540576991511204918126169779<46>
4728912045866904847657086157801846080638041217325830291<55>
factorization results 素因数分解の結果
(ここに素因数分解ソフトウェアの出力結果を貼り付けてください。例:GGNFSのサマリファイル、B1とsigmaを含むGMP-ECMの出Number: 12229_137
N=40740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743
  ( 137 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=2608315158960413241863591725014062287 (pp37)
 r2=3302992739511359700540576991511204918126169779 (pp46)
 r3=4728912045866904847657086157801846080638041217325830291 (pp55)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 16.64 hours.
Scaled time: 11.25 units (timescale=0.676).
Factorization parameters were as follows:
name: 12229_137
n: 40740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743
m: 1000000000000000000000000000
c5: 1100
c0: 61
skew: 0.56
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 2200001)
Primes: RFBsize:78498, AFBsize:63770, largePrimes:1670073 encountered
Relations: rels:1697648, finalFF:166498
Max relations in full relation-set: 28
Initial matrix: 142335 x 166498 with sparse part having weight 18460835.
Pruned matrix : 136551 x 137326 with weight 13956169.
Total sieving time: 15.90 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.54 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 16.64 hours.
 --------- CPU info (if available) ----------
力など)
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

11×10144+619

c145

name 名前Robert Backstrom
date 日付February 13, 2008 04:04:59 UTC 2008 年 2 月 13 日 (水) 13 時 4 分 59 秒 (日本時間)
composite number 合成数
1222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229<145>
prime factors 素因数
611795764847397761032073514896073448555427693<45>
1997761822570127057468384244424067756878599815628503448366355433606752749308486975935581518284356553<100>
factorization results 素因数分解の結果
Number: n
N=1222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229
  ( 145 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=611795764847397761032073514896073448555427693 (pp45)
 r2=1997761822570127057468384244424067756878599815628503448366355433606752749308486975935581518284356553 (pp100)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 12.91 hours.
Scaled time: 16.84 units (timescale=1.305).
Factorization parameters were as follows:
name: KA_1_2_143_9
n: 1222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229
skew: 2.23
deg: 5
c5: 11
c0: 610
m: 100000000000000000000000000000
type: snfs
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1250001)
Primes: RFBsize:203362, AFBsize:202469, largePrimes:6738611 encountered
Relations: rels:6158473, finalFF:455293
Max relations in full relation-set: 28
Initial matrix: 405896 x 455293 with sparse part having weight 25724138.
Pruned matrix : 361436 x 363529 with weight 16686234.
Total sieving time: 10.51 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 1.88 hours.
Total square root time: 0.30 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000
total time: 12.91 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

11×10146+619

c146

name 名前Robert Backstrom
date 日付February 12, 2008 22:00:20 UTC 2008 年 2 月 13 日 (水) 7 時 0 分 20 秒 (日本時間)
composite number 合成数
40740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743<146>
prime factors 素因数
62188614383244022472029465985668051260768030696286619714122612487056057<71>
655115749800623400328076022959829614473983866531716207736106837240179182399<75>
factorization results 素因数分解の結果
Number: n
N=40740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743
  ( 146 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=62188614383244022472029465985668051260768030696286619714122612487056057 (pp71)
 r2=655115749800623400328076022959829614473983866531716207736106837240179182399 (pp75)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 8.95 hours.
Scaled time: 16.36 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_1_2_145_9
n: 40740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743
skew: 0.89
deg: 5
c5: 110
c0: 61
m: 100000000000000000000000000000
type: snfs
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1500001)
Primes: RFBsize:183072, AFBsize:183928, largePrimes:6812996 encountered
Relations: rels:6186693, finalFF:411405
Max relations in full relation-set: 48
Initial matrix: 367067 x 411405 with sparse part having weight 33106963.
Pruned matrix : 334890 x 336789 with weight 21893831.
Total sieving time: 7.91 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.80 hours.
Total square root time: 0.09 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 8.95 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

11×10147+619

c91

name 名前Robert Backstrom
date 日付February 11, 2008 14:46:44 UTC 2008 年 2 月 11 日 (月) 23 時 46 分 44 秒 (日本時間)
composite number 合成数
1029869012805926979679368003629013281236600821095636359928603029848238071504834975227209393<91>
prime factors 素因数
48362529052411789499072324359991381<35>
21294771654514384272421899428463822955945910176527190253<56>
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 1029869012805926979679368003629013281236600821095636359928603029848238071504834975227209393 (91 digits)
Using B1=1036000, B2=882940570, polynomial Dickson(3), sigma=2032621643
Step 1 took 8766ms
Step 2 took 5781ms
********** Factor found in step 2: 48362529052411789499072324359991381
Found probable prime factor of 35 digits: 48362529052411789499072324359991381
Probable prime cofactor 21294771654514384272421899428463822955945910176527190253 has 56 digits

11×10148+619

c117

name 名前Sinkiti Sibata
date 日付February 15, 2008 10:24:47 UTC 2008 年 2 月 15 日 (金) 19 時 24 分 47 秒 (日本時間)
composite number 合成数
738571550226024392405858563209788417084723191785980144725541056915264197135700547827962950228341820185276112038681199<117>
prime factors 素因数
11902378768854297574550472754083771786485974613585009<53>
62052432086827128788540349410927173560773558990532128882788082911<65>
factorization results 素因数分解の結果
Number: 12229_148
N=738571550226024392405858563209788417084723191785980144725541056915264197135700547827962950228341820185276112038681199
  ( 117 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=11902378768854297574550472754083771786485974613585009 (pp53)
 r2=62052432086827128788540349410927173560773558990532128882788082911 (pp65)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 49.88 hours.
Scaled time: 33.72 units (timescale=0.676).
Factorization parameters were as follows:
name: 12229_148
n: 738571550226024392405858563209788417084723191785980144725541056915264197135700547827962950228341820185276112038681199
m: 100000000000000000000000000000
c5: 11000
c0: 61
skew: 0.35
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 5750001)
Primes: RFBsize:114155, AFBsize:114409, largePrimes:3268022 encountered
Relations: rels:3436305, finalFF:267502
Max relations in full relation-set: 28
Initial matrix: 228631 x 267502 with sparse part having weight 36416837.
Pruned matrix : 219053 x 220260 with weight 28994291.
Total sieving time: 47.18 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 2.20 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,149,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 49.88 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

11×10149+619

c147

name 名前Sinkiti Sibata
date 日付February 17, 2008 05:29:50 UTC 2008 年 2 月 17 日 (日) 14 時 29 分 50 秒 (日本時間)
composite number 合成数
315819695664656904966982486362331323571633649153028997990238300315819695664656904966982486362331323571633649153028997990238300315819695664656904967<147>
prime factors 素因数
6242261523111451604167188855731<31>
5345904564855449996407866180568566463290283484418398029<55>
9464028719153806681139681352642106781803923220341415398103633<61>
factorization results 素因数分解の結果
Number: 12229_149
N=315819695664656904966982486362331323571633649153028997990238300315819695664656904966982486362331323571633649153028997990238300315819695664656904967
  ( 147 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=6242261523111451604167188855731 (pp31)
 r2=5345904564855449996407866180568566463290283484418398029 (pp55)
 r3=9464028719153806681139681352642106781803923220341415398103633 (pp61)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 37.15 hours.
Scaled time: 25.08 units (timescale=0.675).
Factorization parameters were as follows:
name: 12229_149
n: 315819695664656904966982486362331323571633649153028997990238300315819695664656904966982486362331323571633649153028997990238300315819695664656904967
m: 1000000000000000000000000000000
c5: 11
c0: 610
skew: 2.23
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2200001)
Primes: RFBsize:176302, AFBsize:175370, largePrimes:5628786 encountered
Relations: rels:5580248, finalFF:504483
Max relations in full relation-set: 28
Initial matrix: 351737 x 504483 with sparse part having weight 45930839.
Pruned matrix : 290346 x 292168 with weight 24671675.
Total sieving time: 33.54 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 3.22 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 37.15 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

11×10157+619

c136

name 名前Sinkiti Sibata
date 日付February 13, 2008 22:26:56 UTC 2008 年 2 月 14 日 (木) 7 時 26 分 56 秒 (日本時間)
composite number 合成数
8151027532125232953778580806805926102268082591328572421015894830608242951223091720643534080488498064269911620158916872675205886792927801<136>
prime factors 素因数
298230907234615127467511105889531439850968018155959379903529<60>
27331263575954269106179281929739251896488872337195589729335803802039679866769<77>
factorization results 素因数分解の結果
Number: 12229_157
N=8151027532125232953778580806805926102268082591328572421015894830608242951223091720643534080488498064269911620158916872675205886792927801
  ( 136 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=298230907234615127467511105889531439850968018155959379903529 (pp60)
 r2=27331263575954269106179281929739251896488872337195589729335803802039679866769 (pp77)
Version: GGNFS-0.77.1-20060513-k8
Total time: 59.82 hours.
Scaled time: 119.89 units (timescale=2.004).
Factorization parameters were as follows:
name: 12229_157
n: 8151027532125232953778580806805926102268082591328572421015894830608242951223091720643534080488498064269911620158916872675205886792927801
m: 10000000000000000000000000000000
c5: 1100
c0: 61
skew: 0.56
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3900001)
Primes: RFBsize:283146, AFBsize:282319, largePrimes:5908492 encountered
Relations: rels:6075893, finalFF:766526
Max relations in full relation-set: 28
Initial matrix: 565532 x 766526 with sparse part having weight 52202300.
Pruned matrix : 420115 x 423006 with weight 36980807.
Total sieving time: 56.81 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 2.56 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 59.82 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

11×10158+619

c123

name 名前Sinkiti Sibata
date 日付February 15, 2008 09:11:03 UTC 2008 年 2 月 15 日 (金) 18 時 11 分 3 秒 (日本時間)
composite number 合成数
320087257170379743745512038306524681451620506378742376663804041998523402739301653903245691152522955108248039967344338259723<123>
prime factors 素因数
11920843112330238846091327134150343<35>
5533180785858157565411447744926232573<37>
4852734739010638529320321809660405214270996767425057<52>
factorization results 素因数分解の結果
Number: 12229_158
N=320087257170379743745512038306524681451620506378742376663804041998523402739301653903245691152522955108248039967344338259723
  ( 123 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=11920843112330238846091327134150343 (pp35)
 r2=5533180785858157565411447744926232573 (pp37)
 r3=4852734739010638529320321809660405214270996767425057 (pp52)
Version: GGNFS-0.77.1-20060513-k8
Total time: 65.85 hours.
Scaled time: 131.77 units (timescale=2.001).
Factorization parameters were as follows:
name: 12229_158
n: 320087257170379743745512038306524681451620506378742376663804041998523402739301653903245691152522955108248039967344338259723
m: 10000000000000000000000000000000
c5: 11000
c0: 61
skew: 0.35
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 4100001)
Primes: RFBsize:283146, AFBsize:284229, largePrimes:5875710 encountered
Relations: rels:6004080, finalFF:729809
Max relations in full relation-set: 28
Initial matrix: 567442 x 729809 with sparse part having weight 53653069.
Pruned matrix : 449842 x 452743 with weight 37603921.
Total sieving time: 62.66 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 2.73 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 65.85 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

11×10160+619

c142

name 名前Jo Yeong Uk
date 日付February 12, 2008 02:24:21 UTC 2008 年 2 月 12 日 (火) 11 時 24 分 21 秒 (日本時間)
composite number 合成数
5519872912466055561740774566337694615801555978605628157615996657600425616726036850684518620876301945888435820875954338105940635838887577012847<142>
prime factors 素因数
1483611984731557267694074530155063<34>
3720563711585825353249049668598930117813079072610125563407773914202785970215359546760420442923601907083314569<109>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 5519872912466055561740774566337694615801555978605628157615996657600425616726036850684518620876301945888435820875954338105940635838887577012847 (142 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1537280711
Step 1 took 7123ms
Step 2 took 4507ms
********** Factor found in step 2: 1483611984731557267694074530155063
Found probable prime factor of 34 digits: 1483611984731557267694074530155063
Probable prime cofactor 3720563711585825353249049668598930117813079072610125563407773914202785970215359546760420442923601907083314569 has 109 digits
execution environment 実行環境
Core 2 Quad Q6600

11×10165+619

c158

name 名前Robert Backstrom
date 日付April 1, 2008 13:37:46 UTC 2008 年 4 月 1 日 (火) 22 時 37 分 46 秒 (日本時間)
composite number 合成数
37076370572108520285117694169011671267321814898181595809391309168633542846173451775619238671177620592167679409414133382357732851260970228149682256009783901419<158>
prime factors 素因数
84487268400846963130771961910946989225423105211073<50>
404346314135854308052527269390940411387810076224120869<54>
1085306631461643435651060404463146659487393443172166287<55>
factorization results 素因数分解の結果
Number: n
N=37076370572108520285117694169011671267321814898181595809391309168633542846173451775619238671177620592167679409414133382357732851260970228149682256009783901419
  ( 158 digits)
SNFS difficulty: 166 digits.
Divisors found:

Wed Apr  2 00:28:00 2008  prp50 factor: 84487268400846963130771961910946989225423105211073
Wed Apr  2 00:28:00 2008  prp54 factor: 404346314135854308052527269390940411387810076224120869
Wed Apr  2 00:28:00 2008  prp55 factor: 1085306631461643435651060404463146659487393443172166287
Wed Apr  2 00:28:00 2008  elapsed time 00:53:00 (Msieve 1.33)

Version: GGNFS-0.77.1-20050930-k8
Total time: 45.93 hours.
Scaled time: 38.49 units (timescale=0.838).
Factorization parameters were as follows:
name: KA_1_2_164_9
n: 37076370572108520285117694169011671267321814898181595809391309168633542846173451775619238671177620592167679409414133382357732851260970228149682256009783901419
type: snfs
deg: 5
c5: 11
c0: 61
skew: 1.41
m: 1000000000000000000000000000000000
rlim: 3000000
alim: 3000000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2900001)
Primes: RFBsize:216816, AFBsize:216278, largePrimes:5612922 encountered
Relations: rels:5482602, finalFF:460483
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 45.74 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.5,2.5,100000
total time: 45.93 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).

11×10167+619

c150

name 名前Robert Backstrom
date 日付June 20, 2008 10:16:28 UTC 2008 年 6 月 20 日 (金) 19 時 16 分 28 秒 (日本時間)
composite number 合成数
101568840330264413237388822930979889101910651497072026084643242058579491153939325114881169376679390422211703898084569112611049921791675345871035972967<150>
prime factors 素因数
748005811625541632642916647689589194648693239663159298286037563308548193<72>
135786164695082180429353840411133841148804527719360141316474387898066866066119<78>
factorization results 素因数分解の結果
Number: n
N=101568840330264413237388822930979889101910651497072026084643242058579491153939325114881169376679390422211703898084569112611049921791675345871035972967
  ( 150 digits)
SNFS difficulty: 168 digits.
Divisors found:

Fri Jun 20 20:10:57 2008  prp72 factor: 748005811625541632642916647689589194648693239663159298286037563308548193
Fri Jun 20 20:10:57 2008  prp78 factor: 135786164695082180429353840411133841148804527719360141316474387898066866066119
Fri Jun 20 20:10:57 2008  elapsed time 02:27:34 (Msieve 1.36)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 113.07 hours.
Scaled time: 148.57 units (timescale=1.314).
Factorization parameters were as follows:
name: KA_1_2_166_9
n: 101568840330264413237388822930979889101910651497072026084643242058579491153939325114881169376679390422211703898084569112611049921791675345871035972967
skew: 0.56
deg: 5
c5: 1100
c0: 61
m: 1000000000000000000000000000000000
type: snfs
rlim: 3800000
alim: 3800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 5000001)
Primes: RFBsize:269987, AFBsize:269319, largePrimes:7804913 encountered
Relations: rels:7226972, finalFF:542557
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 112.54 hours.
Total relation processing time: 0.53 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,3800000,3800000,28,28,48,48,2.5,2.5,100000
total time: 113.07 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

11×10168+619

c160

name 名前Robert Backstrom
date 日付June 25, 2008 04:54:37 UTC 2008 年 6 月 25 日 (水) 13 時 54 分 37 秒 (日本時間)
composite number 合成数
4294886908593843300622432151296627704737193533254220188966535719820666122536511777508965491500062137057238610263195991513954729651614231663295725113169362258533<160>
prime factors 素因数
411666912515401882965759279521788799204135831<45>
10432917434026609382438829606769439297165342068877860732100883252228761348457631305397697008539566408107238406463843<116>
factorization results 素因数分解の結果
Number: n
N=4294886908593843300622432151296627704737193533254220188966535719820666122536511777508965491500062137057238610263195991513954729651614231663295725113169362258533
  ( 160 digits)
SNFS difficulty: 169 digits.
Divisors found:

Wed Jun 25 12:13:26 2008  prp45 factor: 411666912515401882965759279521788799204135831
Wed Jun 25 12:13:26 2008  prp116 factor: 10432917434026609382438829606769439297165342068877860732100883252228761348457631305397697008539566408107238406463843
Wed Jun 25 12:13:26 2008  elapsed time 02:24:39 (Msieve 1.34)

Version: GGNFS-0.77.1-20050930-k8
Total time: 101.65 hours.
Scaled time: 63.02 units (timescale=0.620).
Factorization parameters were as follows:
name: KA_1_2_167_9
n: 4294886908593843300622432151296627704737193533254220188966535719820666122536511777508965491500062137057238610263195991513954729651614231663295725113169362258533
type: snfs
deg: 5
c5: 11000
c0: 61
skew: 0.35
m: 1000000000000000000000000000000000
rlim: 5800000
alim: 5800000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 5300093)
Primes: RFBsize:399993, AFBsize:401226, largePrimes:5866471 encountered
Relations: rels:6006996, finalFF:811405
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 101.36 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,48,48,2.5,2.5,100000
total time: 101.65 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).

11×10172+619

c171

name 名前Robert Backstrom
date 日付June 2, 2008 02:14:32 UTC 2008 年 6 月 2 日 (月) 11 時 14 分 32 秒 (日本時間)
composite number 合成数
102707749766573295985060690943043884220354808590102707749766573295985060690943043884220354808590102707749766573295985060690943043884220354808590102707749766573295985060691<171>
prime factors 素因数
12028479575122500852357107894999807304683<41>
731295526744164282624207366517572340820823022344947<51>
11676147223871752732879615382398657779764886931536666306447311056887715314521891<80>
factorization results 素因数分解の結果
Number: n
N=102707749766573295985060690943043884220354808590102707749766573295985060690943043884220354808590102707749766573295985060690943043884220354808590102707749766573295985060691
  ( 171 digits)
SNFS difficulty: 173 digits.
Divisors found:

Mon Jun 02 12:00:46 2008  prp41 factor: 12028479575122500852357107894999807304683
Mon Jun 02 12:00:46 2008  prp51 factor: 731295526744164282624207366517572340820823022344947
Mon Jun 02 12:00:46 2008  prp80 factor: 11676147223871752732879615382398657779764886931536666306447311056887715314521891
Mon Jun 02 12:00:46 2008  elapsed time 02:16:33 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 132.61 hours.
Scaled time: 241.74 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_1_2_171_9
n: 102707749766573295985060690943043884220354808590102707749766573295985060690943043884220354808590102707749766573295985060690943043884220354808590102707749766573295985060691
skew: 0.56
deg: 5
c5: 1100
c0: 61
m: 10000000000000000000000000000000000
type: snfs
rlim: 3800000
alim: 3800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 8900279)
Primes: RFBsize:269987, AFBsize:269319, largePrimes:8671566 encountered
Relations: rels:8126828, finalFF:570564
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 132.21 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,3800000,3800000,28,28,48,48,2.5,2.5,100000
total time: 132.61 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

11×10173+619

c142

name 名前Serge Batalov
date 日付August 9, 2008 02:34:50 UTC 2008 年 8 月 9 日 (土) 11 時 34 分 50 秒 (日本時間)
composite number 合成数
6506776738926841085832091864702317704939029726883762794768796960571743860949450445779672075229889310813089910124182766157451684881931921911723<142>
prime factors 素因数
370213993053058810577180008052464963<36>
135581314979100013821605633469943622819<39>
129632302176827106237494463843268187181151032935432367315492954199859<69>
factorization results 素因数分解の結果
#ECM, then gnfs/Msieve
#
Using B1=2000000, B2=11413147210, polynomial Dickson(12), sigma=774383078
Step 1 took 13440ms
Step 2 took 13985ms
********** Factor found in step 2: 370213993053058810577180008052464963
Found probable prime factor of 36 digits: 370213993053058810577180008052464963
Composite cofactor 17575717992902268267555073239638187779950682665186919490503984459819118518231525646978446649297579838982521 has 107 digits

Number: 12229_173
N=17575717992902268267555073239638187779950682665186919490503984459819118518231525646978446649297579838982521
  ( 107 digits)
Divisors found:
 r1=135581314979100013821605633469943622819
 r2=129632302176827106237494463843268187181151032935432367315492954199859
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.719).
Factorization parameters were as follows:
name: 12229_173
n: 17575717992902268267555073239638187779950682665186919490503984459819118518231525646978446649297579838982521
skew: 12412.40
# norm 3.95e+14
c5: 23880
c4: -801144701
c3: -28651090013206
c2: 233589483730740904
c1: 1012470718482202241190
c0: 858705876167084202647853
# alpha -5.24
Y1: 60738216517
Y0: -236252547292224089980
# Murphy_E 1.52e-09
# M 17395019518137050286633518025364420683886479604045755806861763608633749627030105245197574996886503717697083
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2450001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 298764 x 299012
Total sieving time: 0.00 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:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000

total time: 8.50 hours.
software ソフトウェア
GMP-ECM 6.2.1+pol51+Msieve 1.36
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 11, 2008 09:00:00 UTC 2008 年 2 月 11 日 (月) 18 時 0 分 0 秒 (日本時間)

11×10174+619

c166

name 名前Ignacio Santos
date 日付March 20, 2010 22:41:43 UTC 2010 年 3 月 21 日 (日) 7 時 41 分 43 秒 (日本時間)
composite number 合成数
8154797189219035185883742410468331537161411161943742852028358977401569108859620535950870810499725134035267583690068457765415372123193367604402289569623038858291385557<166>
prime factors 素因数
204053639276510665495715892952412089741<39>
39963987989298079957790576065453642525506021976434141617561000417779231224664027809264609009659476491650400852324524033300905577<128>
factorization results 素因数分解の結果
Number: 4
N=8154797189219035185883742410468331537161411161943742852028358977401569108859620535950870810499725134035267583690068457765415372123193367604402289569623038858291385557
  ( 166 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=204053639276510665495715892952412089741 (pp39)
 r2=39963987989298079957790576065453642525506021976434141617561000417779231224664027809264609009659476491650400852324524033300905577 (pp128)
Version: Msieve-1.40
Total time: 96.86 hours.
Scaled time: 168.05 units (timescale=1.735).
Factorization parameters were as follows:
n: 8154797189219035185883742410468331537161411161943742852028358977401569108859620535950870810499725134035267583690068457765415372123193367604402289569623038858291385557
m: 10000000000000000000000000000000000
deg: 5
c5: 110000
c0: 61
skew: 0.22
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 7800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1237871 x 1238095
Total sieving time: 92.83 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.08 hours.
Time per square root: 1.78 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,52,52,2.5,2.5,100000
total time: 96.86 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
3025e4430Makoto KamadaFebruary 11, 2008 09:00:00 UTC 2008 年 2 月 11 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6825Ignacio SantosMarch 12, 2010 12:32:31 UTC 2010 年 3 月 12 日 (金) 21 時 32 分 31 秒 (日本時間)

11×10176+619

c149

name 名前Warut Roonguthai
date 日付March 20, 2012 14:34:50 UTC 2012 年 3 月 20 日 (火) 23 時 34 分 50 秒 (日本時間)
composite number 合成数
25445323373194071576010003463825297936683153964922344351156347670931795446864483615366700036031576832820358250673044105820667960928116581434734346063<149>
prime factors 素因数
1009527932035299050394699912255853515824294939969<49>
25205170224358242919873357355640252008319879137908820542325198214742974929568966743207947569449130127<101>
factorization results 素因数分解の結果
N = 25445323373194071576010003463825297936683153964922344351156347670931795446864483615366700036031576832820358250673044105820667960928116581434734346063 (149 digits)
SNFS difficulty: 178 digits.
Divisors found:
r1=1009527932035299050394699912255853515824294939969 (pp49)
r2=25205170224358242919873357355640252008319879137908820542325198214742974929568966743207947569449130127 (pp101)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 25.36 hours.
Factorization parameters were as follows:
name: (11*10^176+61)/9
n: 25445323373194071576010003463825297936683153964922344351156347670931795446864483615366700036031576832820358250673044105820667960928116581434734346063
Y0: 100000000000000000000000000000000000
Y1: -1
c0: 61
c1: 0
c2: 0
c3: 0
c4: 0
c5: 110
skew: 0.89
type: snfs
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 21031584
Relations: 2647202 relations
Pruned matrix : 1513167 x 1513399
Polynomial selection time: 0.00 hours.
Total sieving time: 23.17 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.02 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,55,55,2.5,2.5,100000
total time: 25.36 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 11, 2008 09:00:00 UTC 2008 年 2 月 11 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 4, 2010 17:21:56 UTC 2010 年 10 月 5 日 (火) 2 時 21 分 56 秒 (日本時間)
403e62144110Ignacio SantosOctober 4, 2010 17:21:56 UTC 2010 年 10 月 5 日 (火) 2 時 21 分 56 秒 (日本時間)
2034Wataru SakaiSeptember 22, 2011 10:06:37 UTC 2011 年 9 月 22 日 (木) 19 時 6 分 37 秒 (日本時間)
4511e6403232Ignacio SantosOctober 4, 2010 17:21:56 UTC 2010 年 10 月 5 日 (火) 2 時 21 分 56 秒 (日本時間)
4000Wataru SakaiOctober 7, 2011 09:43:28 UTC 2011 年 10 月 7 日 (金) 18 時 43 分 28 秒 (日本時間)

11×10181+619

c158

name 名前Warut Roonguthai
date 日付March 15, 2013 21:07:55 UTC 2013 年 3 月 16 日 (土) 6 時 7 分 55 秒 (日本時間)
composite number 合成数
38045704004947974476978005295278938728700042080267729415172584604132713065280861541942018016886062739104739134924171059713880259774671210010931014754095068673<158>
prime factors 素因数
166015448567038160635557065057282153<36>
13271963912284740114766041750769751383132683401<47>
17267200403011484159865292470348622164215629835969616774555553640844188447441<77>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=260035165
Step 1 took 23853ms
Step 2 took 14835ms
********** Factor found in step 2: 166015448567038160635557065057282153
Found probable prime factor of 36 digits: 166015448567038160635557065057282153
Composite cofactor 229169660614956938515733532818396555014011391844527636486350359308160898134067027729392644455566667127185471995194381626841 has 123 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=252903357
Step 1 took 16193ms
Step 2 took 4992ms
********** Factor found in step 2: 13271963912284740114766041750769751383132683401
Found probable prime factor of 47 digits: 13271963912284740114766041750769751383132683401
Probable prime cofactor 17267200403011484159865292470348622164215629835969616774555553640844188447441 has 77 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 11, 2008 09:00:00 UTC 2008 年 2 月 11 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 4, 2010 19:19:27 UTC 2010 年 10 月 5 日 (火) 4 時 19 分 27 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 4, 2010 19:19:27 UTC 2010 年 10 月 5 日 (火) 4 時 19 分 27 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 4, 2010 19:19:27 UTC 2010 年 10 月 5 日 (火) 4 時 19 分 27 秒 (日本時間)

11×10182+619

c127

name 名前Robert Backstrom
date 日付May 8, 2008 13:10:49 UTC 2008 年 5 月 8 日 (木) 22 時 10 分 49 秒 (日本時間)
composite number 合成数
5235067405677476170287243585231811618098597413637893336215226567411081842907534068826751291103165097578184206522576880984301467<127>
prime factors 素因数
386743518904360880703905991006429255227<39>
15816269637526716768726379630499787809243<41>
855845109201103507837814977690861986896119008947<48>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 5235067405677476170287243585231811618098597413637893336215226567411081842907534068826751291103165097578184206522576880984301467 (127 digits)
Using B1=4700000, B2=8562235510, polynomial Dickson(6), sigma=4164732629
Step 1 took 46581ms
Step 2 took 15426ms
********** Factor found in step 2: 386743518904360880703905991006429255227
Found probable prime factor of 39 digits: 386743518904360880703905991006429255227
Composite cofactor 13536277015083150708358105307944157502727791650822840210249683528781966042510629446297121 has 89 digits


Thu May  8 22:23:43 2008  
Thu May  8 22:23:43 2008  
Thu May  8 22:23:43 2008  Msieve v. 1.34
Thu May  8 22:23:43 2008  random seeds: 447cc43b 31aa6ae9
Thu May  8 22:23:43 2008  factoring 13536277015083150708358105307944157502727791650822840210249683528781966042510629446297121 (89 digits)
Thu May  8 22:23:43 2008  no P-1/P+1/ECM available, skipping
Thu May  8 22:23:43 2008  commencing quadratic sieve (89-digit input)
Thu May  8 22:23:44 2008  using multiplier of 1
Thu May  8 22:23:44 2008  using 64kb Opteron sieve core
Thu May  8 22:23:44 2008  sieve interval: 14 blocks of size 65536
Thu May  8 22:23:44 2008  processing polynomials in batches of 8
Thu May  8 22:23:44 2008  using a sieve bound of 1520879 (58333 primes)
Thu May  8 22:23:44 2008  using large prime bound of 121670320 (26 bits)
Thu May  8 22:23:44 2008  using double large prime bound of 357546364197680 (42-49 bits)
Thu May  8 22:23:44 2008  using trial factoring cutoff of 49 bits
Thu May  8 22:23:44 2008  polynomial 'A' values have 11 factors
Thu May  8 23:01:20 2008  58833 relations (15979 full + 42854 combined from 614451 partial), need 58429
Thu May  8 23:01:20 2008  begin with 630430 relations
Thu May  8 23:01:20 2008  reduce to 142082 relations in 9 passes
Thu May  8 23:01:20 2008  attempting to read 142082 relations
Thu May  8 23:01:21 2008  recovered 142082 relations
Thu May  8 23:01:21 2008  recovered 118230 polynomials
Thu May  8 23:01:21 2008  attempting to build 58833 cycles
Thu May  8 23:01:21 2008  found 58833 cycles in 5 passes
Thu May  8 23:01:21 2008  distribution of cycle lengths:
Thu May  8 23:01:21 2008     length 1 : 15979
Thu May  8 23:01:21 2008     length 2 : 11357
Thu May  8 23:01:21 2008     length 3 : 10582
Thu May  8 23:01:21 2008     length 4 : 7805
Thu May  8 23:01:21 2008     length 5 : 5245
Thu May  8 23:01:21 2008     length 6 : 3550
Thu May  8 23:01:21 2008     length 7 : 2031
Thu May  8 23:01:21 2008     length 9+: 2284
Thu May  8 23:01:21 2008  largest cycle: 18 relations
Thu May  8 23:01:22 2008  matrix is 58333 x 58833 (14.0 MB) with weight 3422665 (58.18/col)
Thu May  8 23:01:22 2008  sparse part has weight 3422665 (58.18/col)
Thu May  8 23:01:22 2008  filtering completed in 3 passes
Thu May  8 23:01:22 2008  matrix is 54281 x 54344 (12.9 MB) with weight 3170823 (58.35/col)
Thu May  8 23:01:22 2008  sparse part has weight 3170823 (58.35/col)
Thu May  8 23:01:22 2008  saving the first 48 matrix rows for later
Thu May  8 23:01:22 2008  matrix is 54233 x 54344 (8.9 MB) with weight 2545096 (46.83/col)
Thu May  8 23:01:22 2008  sparse part has weight 2008783 (36.96/col)
Thu May  8 23:01:22 2008  matrix includes 64 packed rows
Thu May  8 23:01:22 2008  using block size 21737 for processor cache size 1024 kB
Thu May  8 23:01:23 2008  commencing Lanczos iteration
Thu May  8 23:01:23 2008  memory use: 8.4 MB
Thu May  8 23:01:41 2008  lanczos halted after 859 iterations (dim = 54229)
Thu May  8 23:01:41 2008  recovered 14 nontrivial dependencies
Thu May  8 23:01:42 2008  prp41 factor: 15816269637526716768726379630499787809243
Thu May  8 23:01:42 2008  prp48 factor: 855845109201103507837814977690861986896119008947
Thu May  8 23:01:42 2008  elapsed time 00:37:59

11×10183+619

c133

name 名前Robert Backstrom
date 日付April 22, 2012 13:53:01 UTC 2012 年 4 月 22 日 (日) 22 時 53 分 1 秒 (日本時間)
composite number 合成数
4740692172983764688112992463787701381880783540886609186466419533788084671379339727815000294881228710786433524416307234286876774284559<133>
prime factors 素因数
1387881908915860588304141100439680422152699<43>
31721902510753229188134497580081648224913017<44>
107678752482208230074698244634264271856436452773<48>
factorization results 素因数分解の結果
Number: n
N=4740692172983764688112992463787701381880783540886609186466419533788084671379339727815000294881228710786433524416307234286876774284559
  ( 133 digits)
Divisors found:

Sun Apr 22 23:37:44 2012  prp43 factor: 1387881908915860588304141100439680422152699
Sun Apr 22 23:37:44 2012  prp44 factor: 31721902510753229188134497580081648224913017
Sun Apr 22 23:37:44 2012  prp48 factor: 107678752482208230074698244634264271856436452773
Sun Apr 22 23:37:44 2012  elapsed time 06:05:13 (Msieve 1.44 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.026).
Factorization parameters were as follows:
name: KA_12229_183
n: 4740692172983764688112992463787701381880783540886609186466419533788084671379339727815000294881228710786433524416307234286876774284559
skew: 125950.36
# norm 2.65e+18
c5: 177660
c4: -537441934802
c3: -23646538385981386
c2: 8713420797678220290891
c1: 513941996556009098221115640
c0: 6332613460938124249610306892900
# alpha -6.26
Y1: 237334687140793
Y0: -30566974867446092734321373
# Murphy_E 4.94e-11
# M 1996451729173927900701973588692066224365909007220179680523927773711626580523535944663449449813639153589621146664230030256584156009866
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 23160000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2872308 hash collisions in 12416094 relations
Msieve: matrix is 1375113 x 1375338 (403.2 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:
gnfs,132,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 4012828k/4980736k available (3972k kernel code, 787908k absent, 180000k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.52 BogoMIPS (lpj=2400261)
Calibrating delay using timer specific routine.. 4799.90 BogoMIPS (lpj=2399952)
Calibrating delay using timer specific routine.. 4799.86 BogoMIPS (lpj=2399932)
Calibrating delay using timer specific routine.. 4799.90 BogoMIPS (lpj=2399953)
Total of 4 processors activated (19200.19 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 11, 2008 09:00:00 UTC 2008 年 2 月 11 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 4, 2010 19:44:34 UTC 2010 年 10 月 5 日 (火) 4 時 44 分 34 秒 (日本時間)
403e6880110Ignacio SantosOctober 4, 2010 19:44:34 UTC 2010 年 10 月 5 日 (火) 4 時 44 分 34 秒 (日本時間)
770Ignacio SantosJuly 8, 2011 14:02:28 UTC 2011 年 7 月 8 日 (金) 23 時 2 分 28 秒 (日本時間)
4511e6252 / 405732Ignacio SantosOctober 4, 2010 19:44:34 UTC 2010 年 10 月 5 日 (火) 4 時 44 分 34 秒 (日本時間)
220Ignacio SantosJuly 8, 2011 14:02:28 UTC 2011 年 7 月 8 日 (金) 23 時 2 分 28 秒 (日本時間)
5043e661 / 7462Ignacio SantosJuly 8, 2011 14:02:28 UTC 2011 年 7 月 8 日 (金) 23 時 2 分 28 秒 (日本時間)

11×10188+619

c175

name 名前matsui
date 日付October 1, 2010 14:18:53 UTC 2010 年 10 月 1 日 (金) 23 時 18 分 53 秒 (日本時間)
composite number 合成数
4749135471832944356169909634899884609783312479852119551728760063745896648025410525866723875073691726044664605368494865741731877524590427936409094904236873873571316577723489261<175>
prime factors 素因数
1197532413204101288581359609918411536825704490349292185731263<61>
3965767790056072611710606289179603717767506105001961234372227785995276350304032030067746952663255063056800079307347<115>
factorization results 素因数分解の結果
N=4749135471832944356169909634899884609783312479852119551728760063745896648025410525866723875073691726044664605368494865741731877524590427936409094904236873873571316577723489261
  ( 175 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=1197532413204101288581359609918411536825704490349292185731263 (pp61)
 r2=3965767790056072611710606289179603717767506105001961234372227785995276350304032030067746952663255063056800079307347 (pp115)
Version: Msieve v. 1.47
Total time:
Scaled time: 28.83 units (timescale=1.058).
Factorization parameters were as follows:
n: 4749135471832944356169909634899884609783312479852119551728760063745896648025410525866723875073691726044664605368494865741731877524590427936409094904236873873571316577723489261
m: 10000000000000000000000000000000000000
deg: 5
c5: 11000
c0: 61
skew: 0.35
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 300000
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4950000, 18150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2219901 x 2220127
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,189.000,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 11, 2008 09:00:00 UTC 2008 年 2 月 11 日 (月) 18 時 0 分 0 秒 (日本時間)

11×10189+619

c164

name 名前Eric Jeancolas
date 日付July 29, 2020 10:47:59 UTC 2020 年 7 月 29 日 (水) 19 時 47 分 59 秒 (日本時間)
composite number 合成数
31390708511049562436810080062969650302122567268423770599647590878616037606336206074110902616599056453584027709327756162758474631859491969851275647138338899640098563<164>
prime factors 素因数
2030855800866751709515000376583443162245292296140022715000263<61>
15456886942761903260384667702949900194423914303088093566027685913397888975764182283316380417603214544101<104>
factorization results 素因数分解の結果
31390708511049562436810080062969650302122567268423770599647590878616037606336206074110902616599056453584027709327756162758474631859491969851275647138338899640098563=2030855800866751709515000376583443162245292296140022715000263*15456886942761903260384667702949900194423914303088093566027685913397888975764182283316380417603214544101

n: 31390708511049562436810080062969650302122567268423770599647590878616037606336206074110902616599056453584027709327756162758474631859491969851275647138338899640098563
skew: 1.12
type: snfs
c0: 305
c5: 176
Y0: 50000000000000000000000000000000000000
Y1: -1
# f(x) = 176*x^5+305
# g(x) = -x+50000000000000000000000000000000000000

Info:Square Root: Factors: 15456886942761903260384667702949900194423914303088093566027685913397888975764182283316380417603214544101 2030855800866751709515000376583443162245292296140022715000263
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.59/1.99489
Info:Generate Free Relations: Total cpu/real time for freerel: 102.27/26.2115
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26391114
Info:Lattice Sieving: Average J: 1893.9 for 2637705 special-q, max bucket fill -bkmult 1.0,1s:1.079350
Info:Lattice Sieving: Total time: 539433s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 52.66/114.969
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 114.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 427.96/396.685
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 343.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 340.72/351.6
Info:Filtering - Merging: Total cpu/real time for merge: 311.96/89.826
Info:Filtering - Merging: Total cpu/real time for replay: 84.21/73.0328
Info:Linear Algebra: Total cpu/real time for bwc: 82046.4/20993.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 13379.42, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (68608 iterations)
Info:Linear Algebra: Lingen CPU time 441.18, WCT time 127.94
Info:Linear Algebra: Mksol: WCT time 7277.78, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (34304 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 77.75/32.8518
Info:Square Root: Total cpu/real time for sqrt: 625.69/196.705
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.10332e+06/127739
Info:root: Cleaning up computation data in /tmp/cado.2pvpx0bj
15456886942761903260384667702949900194423914303088093566027685913397888975764182283316380417603214544101 2030855800866751709515000376583443162245292296140022715000263
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 11, 2008 09:00:00 UTC 2008 年 2 月 11 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 4, 2010 20:48:19 UTC 2010 年 10 月 5 日 (火) 5 時 48 分 19 秒 (日本時間)
403e61710110Ignacio SantosOctober 4, 2010 20:48:19 UTC 2010 年 10 月 5 日 (火) 5 時 48 分 19 秒 (日本時間)
1300Warut RoonguthaiMarch 16, 2013 13:47:51 UTC 2013 年 3 月 16 日 (土) 22 時 47 分 51 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:38:45 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 45 秒 (日本時間)
4511e6493232Ignacio SantosOctober 4, 2010 20:48:19 UTC 2010 年 10 月 5 日 (火) 5 時 48 分 19 秒 (日本時間)
600Rich DickersonApril 21, 2014 16:36:53 UTC 2014 年 4 月 22 日 (火) 1 時 36 分 53 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:29:58 UTC 2014 年 5 月 27 日 (火) 9 時 29 分 58 秒 (日本時間)
4000Robert BalfourMarch 27, 2020 01:22:11 UTC 2020 年 3 月 27 日 (金) 10 時 22 分 11 秒 (日本時間)

11×10190+619

c149

name 名前Warut Roonguthai
date 日付March 15, 2013 05:50:43 UTC 2013 年 3 月 15 日 (金) 14 時 50 分 43 秒 (日本時間)
composite number 合成数
24873832051279840435458978051241830538283361502907706202701870182056396434891594809410144814646571626585033878673309320385273449799580694636084754293<149>
prime factors 素因数
146126899303272019426968796877760534149021923<45>
170220761337422526130953854181025799122521545819830553249420121326098648223638112596560241848015184629191<105>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=492177248
Step 1 took 24195ms
Step 2 took 14290ms
********** Factor found in step 2: 146126899303272019426968796877760534149021923
Found probable prime factor of 45 digits: 146126899303272019426968796877760534149021923
Probable prime cofactor 170220761337422526130953854181025799122521545819830553249420121326098648223638112596560241848015184629191 has 105 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 11, 2008 09:00:00 UTC 2008 年 2 月 11 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 4, 2010 21:46:26 UTC 2010 年 10 月 5 日 (火) 6 時 46 分 26 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 4, 2010 21:46:26 UTC 2010 年 10 月 5 日 (火) 6 時 46 分 26 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 4, 2010 21:46:26 UTC 2010 年 10 月 5 日 (火) 6 時 46 分 26 秒 (日本時間)

11×10191+619

c149

name 名前Warut Roonguthai
date 日付March 16, 2013 10:41:40 UTC 2013 年 3 月 16 日 (土) 19 時 41 分 40 秒 (日本時間)
composite number 合成数
11737539402292541692621143470794498274430582462006126488822841210090427574220233767000023751274711608334132747761715659790085658844281273033540865921<149>
prime factors 素因数
1933521723301162921982675759356307660137766357<46>
6070549537065799625359485868250735579760334311859967340630725292169736006551144771493838303939751757053<103>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1781384575
Step 1 took 16349ms
Step 2 took 10000ms
********** Factor found in step 2: 1933521723301162921982675759356307660137766357
Found probable prime factor of 46 digits: 1933521723301162921982675759356307660137766357
Probable prime cofactor 6070549537065799625359485868250735579760334311859967340630725292169736006551144771493838303939751757053 has 103 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 11, 2008 09:00:00 UTC 2008 年 2 月 11 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 4, 2010 22:49:19 UTC 2010 年 10 月 5 日 (火) 7 時 49 分 19 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 4, 2010 22:49:19 UTC 2010 年 10 月 5 日 (火) 7 時 49 分 19 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 4, 2010 22:49:19 UTC 2010 年 10 月 5 日 (火) 7 時 49 分 19 秒 (日本時間)

11×10193+619

c150

name 名前Edwin Hall
date 日付December 21, 2020 14:37:20 UTC 2020 年 12 月 21 日 (月) 23 時 37 分 20 秒 (日本時間)
composite number 合成数
346655098876312649283917198952541939420053043940207189446772740123193178657976259666578081484497376562508043972489011936443196774689965250786575794787<150>
prime factors 素因数
287112433425351760887739313990579349228259694987021237<54>
1207384489555523813149989393968168141089320562760965890265560036005472774519636917683227680724151<97>
factorization results 素因数分解の結果
Factors:
1207384489555523813149989393968168141089320562760965890265560036005472774519636917683227680724151
287112433425351760887739313990579349228259694987021237

Info:Square Root: Total cpu/real time for sqrt: 4676.47/637.328
Info:Filtering - Singleton removal: Total cpu/real time for purge: 270.44/111.49
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 55855564
Info:Lattice Sieving: Average J: 3794.14 for 914544 special-q, max bucket fill -bkmult 1.0,1s:1.212060
Info:Lattice Sieving: Total time: 436942s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 882.04/248.149
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 208.0s
Info:Linear Algebra: Total cpu/real time for bwc: 109348/28163.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 69821.42, WCT time 18077.51, iteration CPU time 0.2, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (84000 iterations)
Info:Linear Algebra: Lingen CPU time 1056.28, WCT time 135.24
Info:Linear Algebra: Mksol: CPU time 36917.82,  WCT time 9446.5, iteration CPU time 0.21, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (42000 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 621.83/79.2853
Info:Generate Factor Base: Total cpu/real time for makefb: 37.65/6.76883
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 134.96/192.286
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 192.20000000000002s
Info:Filtering - Merging: Total cpu/real time for merge: 475.07/88.963
Info:Filtering - Merging: Total cpu/real time for replay: 91.61/75.7909
Info:Quadratic Characters: Total cpu/real time for characters: 110.71/30.8751
Info:Square Root: Total cpu/real time for sqrt: 4676.47/637.328
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.47602e+06/46970.9
1207384489555523813149989393968168141089320562760965890265560036005472774519636917683227680724151 287112433425351760887739313990579349228259694987021237
software ソフトウェア
CADO-NFS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 11, 2008 09:00:00 UTC 2008 年 2 月 11 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 5, 2010 04:35:02 UTC 2010 年 10 月 5 日 (火) 13 時 35 分 2 秒 (日本時間)
403e62310110Ignacio SantosOctober 5, 2010 04:35:02 UTC 2010 年 10 月 5 日 (火) 13 時 35 分 2 秒 (日本時間)
2200Warut RoonguthaiMarch 16, 2013 13:01:35 UTC 2013 年 3 月 16 日 (土) 22 時 1 分 35 秒 (日本時間)
4511e6395432Ignacio SantosOctober 5, 2010 04:35:02 UTC 2010 年 10 月 5 日 (火) 13 時 35 分 2 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:29:58 UTC 2014 年 5 月 27 日 (火) 9 時 29 分 58 秒 (日本時間)
3622Taiyo KodamaNovember 2, 2020 09:23:08 UTC 2020 年 11 月 2 日 (月) 18 時 23 分 8 秒 (日本時間)

11×10194+619

c148

name 名前Eric Jeancolas
date 日付December 13, 2020 11:57:58 UTC 2020 年 12 月 13 日 (日) 20 時 57 分 58 秒 (日本時間)
composite number 合成数
6100522906481980313205279747383117110906194377574821296515668954235988206903230021902246371652883136385002347846845463016353013141154552303967509543<148>
prime factors 素因数
749584837708190410849515842611051446098065845031243<51>
8138535626112654976817703375081604031306228404967791430495227637298126186548290768401844116878101<97>
factorization results 素因数分解の結果
6100522906481980313205279747383117110906194377574821296515668954235988206903230021902246371652883136385002347846845463016353013141154552303967509543=749584837708190410849515842611051446098065845031243*8138535626112654976817703375081604031306228404967791430495227637298126186548290768401844116878101

cado polynomial
n: 6100522906481980313205279747383117110906194377574821296515668954235988206903230021902246371652883136385002347846845463016353013141154552303967509543
skew: 1.12
type: snfs
c0: 305
c5: 176
Y0: 500000000000000000000000000000000000000
Y1: -1
# f(x) = 176*x^5+305
# g(x) = -x+500000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12800000
tasks.lim1 = 12800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 8138535626112654976817703375081604031306228404967791430495227637298126186548290768401844116878101 749584837708190410849515842611051446098065845031243
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.41/2.17649
Info:Generate Free Relations: Total cpu/real time for freerel: 102.75/26.6276
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 30510250
Info:Lattice Sieving: Average J: 1893.45 for 4163985 special-q, max bucket fill -bkmult 1.0,1s:1.084550
Info:Lattice Sieving: Total time: 1.02442e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 59.03/148.625
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 147.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 529/529.028
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 462.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 461.17/543.129
Info:Filtering - Merging: Merged matrix has 2734133 rows and total weight 468976357 (171.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 385.57/111.465
Info:Filtering - Merging: Total cpu/real time for replay: 105.29/92.7676
Info:Linear Algebra: Total cpu/real time for bwc: 133401/34127.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 21659.12, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (85504 iterations)
Info:Linear Algebra: Lingen CPU time 554.92, WCT time 160.79
Info:Linear Algebra: Mksol: WCT time 12009.45, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (43008 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 94.26/40.2583
Info:Square Root: Total cpu/real time for sqrt: 767.8/242.864
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.02535e+06/548379
Info:root: Cleaning up computation data in /tmp/cado.lb6h5cgl
8138535626112654976817703375081604031306228404967791430495227637298126186548290768401844116878101 749584837708190410849515842611051446098065845031243
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 11, 2008 09:00:00 UTC 2008 年 2 月 11 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 5, 2010 04:36:48 UTC 2010 年 10 月 5 日 (火) 13 時 36 分 48 秒 (日本時間)
403e63510110Ignacio SantosOctober 5, 2010 04:36:48 UTC 2010 年 10 月 5 日 (火) 13 時 36 分 48 秒 (日本時間)
3400Warut RoonguthaiMarch 16, 2013 06:24:11 UTC 2013 年 3 月 16 日 (土) 15 時 24 分 11 秒 (日本時間)
4511e62100 / 368932Ignacio SantosOctober 5, 2010 04:36:48 UTC 2010 年 10 月 5 日 (火) 13 時 36 分 48 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:29:59 UTC 2014 年 5 月 27 日 (火) 9 時 29 分 59 秒 (日本時間)
1768Eric JeancolasOctober 10, 2020 06:46:33 UTC 2020 年 10 月 10 日 (土) 15 時 46 分 33 秒 (日本時間)

11×10195+619

c159

name 名前Ignacio Santos
date 日付October 5, 2010 04:33:10 UTC 2010 年 10 月 5 日 (火) 13 時 33 分 10 秒 (日本時間)
composite number 合成数
505680443903975398414855721305732561093780703415117921284326032059425934654646485728442044069743883462574991401692386242014464580708731092576656126818799770947<159>
prime factors 素因数
212071210648912284976835816180723<33>
composite cofactor 合成数の残り
2384484166222535956768034306237326982535170734203240096818681251090091576902824324062731754640758120473952644973293623961554289<127>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3704976283
Step 1 took 22838ms
Step 2 took 12371ms
********** Factor found in step 2: 212071210648912284976835816180723
Found probable prime factor of 33 digits: 212071210648912284976835816180723
Composite cofactor 2384484166222535956768034306237326982535170734203240096818681251090091576902824324062731754640758120473952644973293623961554289 has 127 digits
software ソフトウェア
GMP-ECM 6.3

c127

name 名前Erik Branger
date 日付October 15, 2010 05:33:25 UTC 2010 年 10 月 15 日 (金) 14 時 33 分 25 秒 (日本時間)
composite number 合成数
2384484166222535956768034306237326982535170734203240096818681251090091576902824324062731754640758120473952644973293623961554289<127>
prime factors 素因数
5338460450999237824237853885427217427507670656780083<52>
446661390134718521913703220641808230813112409002557427937064503643987527883<75>
factorization results 素因数分解の結果
Number: 12229_195
N = 2384484166222535956768034306237326982535170734203240096818681251090091576902824324062731754640758120473952644973293623961554289 (127 digits)
Divisors found:
r1=5338460450999237824237853885427217427507670656780083 (pp52)
r2=446661390134718521913703220641808230813112409002557427937064503643987527883 (pp75)
Version: Msieve v. 1.47
Total time: 75.80 hours.
Factorization parameters were as follows:
# Murphy_E = 1.367e-10, selected by Erik Branger
n: 2384484166222535956768034306237326982535170734203240096818681251090091576902824324062731754640758120473952644973293623961554289
Y0: -9209064152323486270305271
Y1: 26776081327861
c0: 5040592571095633402037387676600300
c1: 19880761062636942682886230590
c2: -8917212804124971640184
c3: -4302604271818534
c4: 411987541
c5: 36
skew: 4441958.58
type: gnfs
# selected mechanically
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [3900000, 6900000)
Relations: 16790031
Relations in full relation-set: 2053836 relations
Pruned matrix : 1166771 x 1167006
Polynomial selection time: 0.00 hours.
Total sieving time: 74.14 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.33 hours.
time per square root: 0.20 hours.
Prototype def-par.txt line would be: gnfs,126,5,65,2000,1e-05,0.28,250,20,50000,3600,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 75.80 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
3025e4430Makoto KamadaFebruary 11, 2008 09:00:00 UTC 2008 年 2 月 11 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 5, 2010 17:47:25 UTC 2010 年 10 月 6 日 (水) 2 時 47 分 25 秒 (日本時間)
403e62446110Ignacio SantosOctober 5, 2010 17:47:25 UTC 2010 年 10 月 6 日 (水) 2 時 47 分 25 秒 (日本時間)
2336Wataru SakaiOctober 6, 2010 14:52:28 UTC 2010 年 10 月 6 日 (水) 23 時 52 分 28 秒 (日本時間)
4511e632 / 3924Ignacio SantosOctober 5, 2010 17:47:25 UTC 2010 年 10 月 6 日 (水) 2 時 47 分 25 秒 (日本時間)

11×10196+619

c193

name 名前Robert Backstrom
date 日付March 14, 2010 06:18:59 UTC 2010 年 3 月 14 日 (日) 15 時 18 分 59 秒 (日本時間)
composite number 合成数
2349975432075028306522249994659146745284026576085795466683757397081757781623192121173278642996005041765472451878912175009079450533017154820654147706637612424961011771240573394005426306906791429<193>
prime factors 素因数
699832124108847798741485425887914051354612179418155850943173793518512148779<75>
3357913063890057812139730083956434092709376336074841936115931570216636665682954630291217184320194608355208412264830351<118>
factorization results 素因数分解の結果
Number: n
N=2349975432075028306522249994659146745284026576085795466683757397081757781623192121173278642996005041765472451878912175009079450533017154820654147706637612424961011771240573394005426306906791429
  ( 193 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sun Mar 14 17:02:24 2010  prp75 factor: 699832124108847798741485425887914051354612179418155850943173793518512148779
Sun Mar 14 17:02:24 2010  prp118 factor: 3357913063890057812139730083956434092709376336074841936115931570216636665682954630291217184320194608355208412264830351
Sun Mar 14 17:02:24 2010  elapsed time 08:39:01 (Msieve 1.42 - dependency 1)

Version: 
Total time: 27.91 hours.
Scaled time: 23.50 units (timescale=0.842).
Factorization parameters were as follows:
name: KA_1_2_195_9
n: 2349975432075028306522249994659146745284026576085795466683757397081757781623192121173278642996005041765472451878912175009079450533017154820654147706637612424961011771240573394005426306906791429
m: 1000000000000000000000000000000000000000
deg: 5
c5: 110
c0: 61
skew: 0.89
type: snfs
lss: 1
rlim: 13500000
alim: 13500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 13500000/13500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 13644187)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5330955 hash collisions in 34391077 relations
Msieve: matrix is 1813700 x 1813926 (484.3 MB)

Total sieving time: 27.91 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,197,5,0,0,0,0,0,0,0,0,13500000,13500000,28,28,56,56,2.5,2.5,100000
total time: 27.91 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
3025e4430Makoto KamadaFebruary 11, 2008 09:00:00 UTC 2008 年 2 月 11 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiSeptember 10, 2009 10:46:06 UTC 2009 年 9 月 10 日 (木) 19 時 46 分 6 秒 (日本時間)
4511e60--
5043e61140 / 7465yoyo@homeJanuary 14, 2010 10:20:21 UTC 2010 年 1 月 14 日 (木) 19 時 20 分 21 秒 (日本時間)

11×10197+619

c142

name 名前Warut Roonguthai
date 日付March 16, 2013 01:50:03 UTC 2013 年 3 月 16 日 (土) 10 時 50 分 3 秒 (日本時間)
composite number 合成数
1038506081042651623853576201072436625198140180871501297515091378465604204410270519119707278831520355108842915120345672701904057472916207222259<142>
prime factors 素因数
296494981326206096780134845005342753<36>
172621550187742328177268741389321046757071839<45>
20290683886755321086478451532646109208162058265221451375017677<62>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3469469862
Step 1 took 12839ms
Step 2 took 8393ms
********** Factor found in step 2: 296494981326206096780134845005342753
Found probable prime factor of 36 digits: 296494981326206096780134845005342753
Composite cofactor 3502609306901148229904030686861893419815575434804281512594700110913063188321202586371031212863853383898003 has 106 digits

N = 3502609306901148229904030686861893419815575434804281512594700110913063188321202586371031212863853383898003 (106 digits)
Divisors found:
r1=172621550187742328177268741389321046757071839 (pp45)
r2=20290683886755321086478451532646109208162058265221451375017677 (pp62)
Version: Msieve v. 1.48
Total time: 3.06 hours.
Factorization parameters were as follows:
n: 3502609306901148229904030686861893419815575434804281512594700110913063188321202586371031212863853383898003
Y0: -566541137453737938825
Y1: 59446063253
c0: 10881854374108905716281496
c1: -48394463285263955922
c2: -176038178992160668
c3: 2744876831253
c4: 109551656
c5: 60
skew: 40115.51  
type: gnfs
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [0, 0)
Total raw relations: 5058874
Relations: 463722 relations
Pruned matrix : 281900 x 282131
Polynomial selection time: 0.00 hours.
Total sieving time: 2.94 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: gnfs,105,5,59,2000,0.0006,0.25,200,15,15000,2000,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 3.06 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 11, 2008 09:00:00 UTC 2008 年 2 月 11 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 5, 2010 04:35:45 UTC 2010 年 10 月 5 日 (火) 13 時 35 分 45 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 5, 2010 04:35:45 UTC 2010 年 10 月 5 日 (火) 13 時 35 分 45 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 5, 2010 04:35:45 UTC 2010 年 10 月 5 日 (火) 13 時 35 分 45 秒 (日本時間)

11×10199+619

c196

name 名前Sinkiti Sibata
date 日付March 14, 2008 22:55:16 UTC 2008 年 3 月 15 日 (土) 7 時 55 分 16 秒 (日本時間)
composite number 合成数
1432683416038239622813529741205277484728897224501491293192148894880110446866981857018195079383685643209731827713307024056056994751168939423540290964977402675210669584131077508172807668763594211959<196>
prime factors 素因数
3841095258017395523843912468543<31>
composite cofactor 合成数の残り
372988254599477911916222836024223504927065229009928696460004135733498615633072233566730189925228638215606368739612714868913553887169813562866201417920242857682106313<165>
factorization results 素因数分解の結果

1432683416038239622813529741205277484728897224501491293192148894880110446866981857018195079383685643209731827713307024056056994751168939423540290964977402675210669584131077508172807668763594211959


Run 3 out of 1000:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1253208643
Step 1 took 34594ms
Step 2 took 20641ms
********** Factor found in step 2: 3841095258017395523843912468543
Found probable prime factor of 31 digits: 3841095258017395523843912468543
Composite cofactor 3729882545994779119162228360242235049270652290099286964600041
35733498615633072233566730189925228638215606368739612714868913553887169813562866
201417920242857682106313 has 165 digits
software ソフトウェア
(上の枠に貼り付けた素因数分解ソフトウェアの出力結果にソフトウェアの種類とバージョンの情報が含まれていない場合は、それをここに記入してください。例:
GMP-ECM 6.1.2
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

c165

name 名前Eric Jeancolas
date 日付October 9, 2021 08:40:03 UTC 2021 年 10 月 9 日 (土) 17 時 40 分 3 秒 (日本時間)
composite number 合成数
372988254599477911916222836024223504927065229009928696460004135733498615633072233566730189925228638215606368739612714868913553887169813562866201417920242857682106313<165>
prime factors 素因数
6877305450165256257005339179531704702949872587<46>
54234650082397503028400681920267877589645384534370039191321237611614425769134816926967674946127012945258464142538864699<119>
factorization results 素因数分解の結果
372988254599477911916222836024223504927065229009928696460004135733498615633072233566730189925228638215606368739612714868913553887169813562866201417920242857682106313=6877305450165256257005339179531704702949872587*54234650082397503028400681920267877589645384534370039191321237611614425769134816926967674946127012945258464142538864699

cado polynomial
n: 372988254599477911916222836024223504927065229009928696460004135733498615633072233566730189925228638215606368739612714868913553887169813562866201417920242857682106313
skew: 1.12
type: snfs
c0: 305
c5: 176
Y0: 5000000000000000000000000000000000000000
Y1: -1
# f(x) = 176*x^5+305
# g(x) = -x+5000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15500000
tasks.lim1 = 15500000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 54234650082397503028400681920267877589645384534370039191321237611614425769134816926967674946127012945258464142538864699 6877305450165256257005339179531704702949872587
Info:Square Root: Total cpu/real time for sqrt: 1922.23/589.143
Info:Square Root: Total cpu/real time for sqrt: 1922.23/589.143
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 213.51/255.987
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 255.39999999999998s
Info:Generate Factor Base: Total cpu/real time for makefb: 6.47/2.93053
Info:Filtering - Singleton removal: Total cpu/real time for purge: 714.47/842.231
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49651334
Info:Lattice Sieving: Average J: 1893.84 for 5139737 special-q, max bucket fill -bkmult 1.0,1s:1.126170
Info:Lattice Sieving: Total time: 1.32875e+06s
Info:Filtering - Merging: Merged matrix has 3634825 rows and total weight 617994783 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1038.44/286.315
Info:Filtering - Merging: Total cpu/real time for replay: 145.16/128.032
Info:Linear Algebra: Total cpu/real time for bwc: 246860/63154.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 159744.99, WCT time 40753.27, iteration CPU time 0.34, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (113664 iterations)
Info:Linear Algebra: Lingen CPU time 795.69, WCT time 201.83
Info:Linear Algebra: Mksol: CPU time 84872.99,  WCT time 21665.75, iteration CPU time 0.36, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (56832 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 130.46/55.1504
Info:Generate Free Relations: Total cpu/real time for freerel: 234.4/61.2848
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 965.82/975.356
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 788.9000000000001s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.75385e+06/126316
54234650082397503028400681920267877589645384534370039191321237611614425769134816926967674946127012945258464142538864699 6877305450165256257005339179531704702949872587
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 11, 2008 09:00:00 UTC 2008 年 2 月 11 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 5, 2010 11:08:40 UTC 2010 年 10 月 5 日 (火) 20 時 8 分 40 秒 (日本時間)
403e62710110Ignacio SantosOctober 5, 2010 11:08:40 UTC 2010 年 10 月 5 日 (火) 20 時 8 分 40 秒 (日本時間)
1000Warut RoonguthaiMarch 16, 2013 15:53:11 UTC 2013 年 3 月 17 日 (日) 0 時 53 分 11 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:38:46 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 46 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:28 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 28 秒 (日本時間)
4511e6451232Ignacio SantosOctober 5, 2010 11:08:40 UTC 2010 年 10 月 5 日 (火) 20 時 8 分 40 秒 (日本時間)
4480Ignacio SantosAugust 5, 2021 19:07:33 UTC 2021 年 8 月 6 日 (金) 4 時 7 分 33 秒 (日本時間)

11×10203+619

c173

name 名前Warut Roonguthai
date 日付March 13, 2013 19:07:35 UTC 2013 年 3 月 14 日 (木) 4 時 7 分 35 秒 (日本時間)
composite number 合成数
40137002186268375875122889849624726520692897542748327889841370134596138744651176464127973740413860038114507694080067972061906237911507144000171107691633564173754143918629997<173>
prime factors 素因数
1465244970447489243314214050109773<34>
composite cofactor 合成数の残り
27392690639306846737442896452453758429081746014011719306509121712820701456377390884967789532663482640305445631664426385771247148972753987489<140>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2764707762
Step 1 took 7831ms
Step 2 took 5866ms
********** Factor found in step 2: 1465244970447489243314214050109773
Found probable prime factor of 34 digits: 1465244970447489243314214050109773
Composite cofactor 27392690639306846737442896452453758429081746014011719306509121712820701456377390884967789532663482640305445631664426385771247148972753987489 has 140 digits
software ソフトウェア
GMP-ECM 6.3

c140

name 名前Warut Roonguthai
date 日付March 14, 2013 14:58:20 UTC 2013 年 3 月 14 日 (木) 23 時 58 分 20 秒 (日本時間)
composite number 合成数
27392690639306846737442896452453758429081746014011719306509121712820701456377390884967789532663482640305445631664426385771247148972753987489<140>
prime factors 素因数
43995874159827830386703320218619823<35>
622619533363399430673638242532843452824438722158058998441046918212107040418838800110512251026791221133743<105>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=974976605
Step 1 took 5336ms
Step 2 took 4040ms
********** Factor found in step 2: 43995874159827830386703320218619823
Found probable prime factor of 35 digits: 43995874159827830386703320218619823
Probable prime cofactor 622619533363399430673638242532843452824438722158058998441046918212107040418838800110512251026791221133743 has 105 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10205+619

c197

name 名前Warut Roonguthai
date 日付March 13, 2013 19:03:40 UTC 2013 年 3 月 14 日 (木) 4 時 3 分 40 秒 (日本時間)
composite number 合成数
21086346257499812163306773333889154085156477473003799291670408606542359783901733116262280452995530633702594726108467946233966069542727401153751742237554326951156323825999935621084547170437122279333<197>
prime factors 素因数
784655043993460239711103354493609<33>
composite cofactor 合成数の残り
26873396684206566746762561085718082571916442318078907431457211507979122532144210037687215701310165481706371003221904683668779193267583849094527061039369393209966237<164>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3311623188
Step 1 took 12168ms
Step 2 took 7020ms
********** Factor found in step 2: 784655043993460239711103354493609
Found probable prime factor of 33 digits: 784655043993460239711103354493609
Composite cofactor 26873396684206566746762561085718082571916442318078907431457211507979122532144210037687215701310165481706371003221904683668779193267583849094527061039369393209966237 has 164 digits
software ソフトウェア
GMP-ECM 6.3

c164

name 名前Serge Batalov
date 日付January 9, 2014 07:25:42 UTC 2014 年 1 月 9 日 (木) 16 時 25 分 42 秒 (日本時間)
composite number 合成数
26873396684206566746762561085718082571916442318078907431457211507979122532144210037687215701310165481706371003221904683668779193267583849094527061039369393209966237<164>
prime factors 素因数
24916789104353075616718668041094679018914793<44>
1078525670850248636048342193074087255889618796744731826777568586516569742778117124957254223216591121064938014029617346709<121>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1728892841
Step 1 took 12211ms
Step 2 took 5615ms
********** Factor found in step 2: 24916789104353075616718668041094679018914793
Found probable prime factor of 44 digits: 24916789104353075616718668041094679018914793
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 16, 2013 15:53:45 UTC 2013 年 3 月 17 日 (日) 0 時 53 分 45 秒 (日本時間)
403e6300 / 1964Serge BatalovJanuary 9, 2014 04:38:46 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 46 秒 (日本時間)

11×10206+619

c180

name 名前Warut Roonguthai
date 日付March 14, 2013 04:32:39 UTC 2013 年 3 月 14 日 (木) 13 時 32 分 39 秒 (日本時間)
composite number 合成数
581574279124204641741409183099077645845897048884956162917201180000798851679471773821389439657771503528413850783927211197599151206017876777673275967701907263762745627354827454240427<180>
prime factors 素因数
6378044743217401174541370796975996342273<40>
91183787906578688476188341780452026472920214610831791809248859022384414397143023289264260429656742843623310787111243808664698014353960969899<140>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=604478671
Step 1 took 10545ms
Step 2 took 6287ms
********** Factor found in step 2: 6378044743217401174541370796975996342273
Found probable prime factor of 40 digits: 6378044743217401174541370796975996342273
Probable prime cofactor 91183787906578688476188341780452026472920214610831791809248859022384414397143023289264260429656742843623310787111243808664698014353960969899 has 140 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10207+619

c200

name 名前Bob Backstrom
date 日付August 1, 2017 04:20:42 UTC 2017 年 8 月 1 日 (火) 13 時 20 分 42 秒 (日本時間)
composite number 合成数
47475178714160075849452979985245836596226837664146455436476154342030427851964434202926255212326845560995045736357134500586562306901454213493971038578619390124100246636574567797949679098650758442091307<200>
prime factors 素因数
262888092387914459712148508184291071319341061918040807524768781013028881951<75>
180590829667957275637417208807784542638687337590103066706339862468813355987792944671113276017728697310039382003270998976375157<126>
factorization results 素因数分解の結果
Number: n
N=47475178714160075849452979985245836596226837664146455436476154342030427851964434202926255212326845560995045736357134500586562306901454213493971038578619390124100246636574567797949679098650758442091307
  ( 200 digits)
SNFS difficulty: 208 digits.
Divisors found:

Tue Aug  1 13:56:28 2017  prp75 factor: 262888092387914459712148508184291071319341061918040807524768781013028881951
Tue Aug  1 13:56:28 2017  prp126 factor: 180590829667957275637417208807784542638687337590103066706339862468813355987792944671113276017728697310039382003270998976375157
Tue Aug  1 13:56:28 2017  elapsed time 10:40:35 (Msieve 1.44 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=4.429).
Factorization parameters were as follows:
#
# N = 11*10^207+61  12(206)9
#
n: 47475178714160075849452979985245836596226837664146455436476154342030427851964434202926255212326845560995045736357134500586562306901454213493971038578619390124100246636574567797949679098650758442091307
m: 100000000000000000000000000000000000000000
deg: 5
c5: 1100
c0: 61
skew: 0.56
# Murphy_E = 6.328e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 28100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 7602180 hash collisions in 52623960 relations (46831867 unique)
Msieve: matrix is 3353918 x 3354142 (960.5 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 10hrs 14min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 59sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.050273] smpboot: CPU0: Intel(R) Core(TM) i7-6700K CPU @ 4.00GHz (family: 0x6, model: 0x5e, stepping: 0x3)
[    0.000000] Memory: 16339156K/16705272K available (7836K kernel code, 1309K rwdata, 3448K rodata, 1528K init, 1544K bss, 366116K reserved, 0K cma-reserved)
[    0.000018] Calibrating delay loop (skipped), value calculated using timer frequency.. 8016.72 BogoMIPS (lpj=4008360)
[    0.074633] smpboot: Total of 8 processors activated (64133.76 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 16, 2013 15:53:58 UTC 2013 年 3 月 17 日 (日) 0 時 53 分 58 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:38:47 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 47 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:28 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 28 秒 (日本時間)
4511e6400 / 4061Youcef LemsaferNovember 24, 2014 05:12:17 UTC 2014 年 11 月 24 日 (月) 14 時 12 分 17 秒 (日本時間)

11×10209+619

c180

name 名前Warut Roonguthai
date 日付March 13, 2013 14:37:53 UTC 2013 年 3 月 13 日 (水) 23 時 37 分 53 秒 (日本時間)
composite number 合成数
229197007305943411163768048105233268572844208265094412625248534027524856944407559776164281271695117943286365613467299314176203309841719129061031789023808590019865046104442528223753<180>
prime factors 素因数
64747687539289377432369013<26>
composite cofactor 合成数の残り
3539848541569379844811101425644061440069317003583060423352325560929576602872524213961062257178899561340601017369598455129225774445810805338715292899094981<154>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2950207672
Step 1 took 4805ms
Step 2 took 3416ms
********** Factor found in step 2: 64747687539289377432369013
Found probable prime factor of 26 digits: 64747687539289377432369013
Composite cofactor 3539848541569379844811101425644061440069317003583060423352325560929576602872524213961062257178899561340601017369598455129225774445810805338715292899094981 has 154 digits
software ソフトウェア
GMP-ECM 6.3

c154

name 名前Bob Backstrom
date 日付October 18, 2021 03:50:51 UTC 2021 年 10 月 18 日 (月) 12 時 50 分 51 秒 (日本時間)
composite number 合成数
3539848541569379844811101425644061440069317003583060423352325560929576602872524213961062257178899561340601017369598455129225774445810805338715292899094981<154>
prime factors 素因数
6633230394390079276939583513744736030156218983<46>
533653790250242973872229182245614566607446833059050241976292840626268232247925427353186269598809643025278707<108>
factorization results 素因数分解の結果
#
# N = 11x10^209+61 = 12(208)9
#
n: 3539848541569379844811101425644061440069317003583060423352325560929576602872524213961062257178899561340601017369598455129225774445810805338715292899094981
m: 500000000000000000000000000000000000000000
deg: 5
c5: 176
c0: 305
skew: 1.12
# Murphy_E = 4.843e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 3539848541569379844811101425644061440069317003583060423352325560929576602872524213961062257178899561340601017369598455129225774445810805338715292899094981 (154 digits)
Using B1=41230000, B2=192394462276, polynomial Dickson(12), sigma=1:4245051950
Step 1 took 84751ms
Step 2 took 27321ms
********** Factor found in step 2: 6633230394390079276939583513744736030156218983
Found prime factor of 46 digits: 6633230394390079276939583513744736030156218983
Prime cofactor 533653790250242973872229182245614566607446833059050241976292840626268232247925427353186269598809643025278707 has 108 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 16, 2013 06:27:45 UTC 2013 年 3 月 16 日 (土) 15 時 27 分 45 秒 (日本時間)
403e63400Warut RoonguthaiMarch 16, 2013 06:27:45 UTC 2013 年 3 月 16 日 (土) 15 時 27 分 45 秒 (日本時間)
4511e6300 / 3663Serge BatalovMay 27, 2014 00:29:59 UTC 2014 年 5 月 27 日 (火) 9 時 29 分 59 秒 (日本時間)

11×10211+619

c186

composite cofactor 合成数の残り
540001330977796856064552710342981284087618534303728967220753442747995759121614731237658073848771908371119098871272559360823594965066175286847770483390892157305069507677954410955338731189<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 16, 2013 15:54:26 UTC 2013 年 3 月 17 日 (日) 0 時 54 分 26 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:38:48 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 48 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:28 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 28 秒 (日本時間)
4511e6400 / 4061Youcef LemsaferNovember 24, 2014 05:13:03 UTC 2014 年 11 月 24 日 (月) 14 時 13 分 3 秒 (日本時間)

11×10212+619

c181

name 名前Serge Batalov
date 日付May 19, 2014 02:27:44 UTC 2014 年 5 月 19 日 (月) 11 時 27 分 44 秒 (日本時間)
composite number 合成数
5553299831823263614877201514231677385405989980961648305514618903266216886139796899538211240141550298746397630314244596321147413778728623972419789392606031913126498057071397419186329<181>
prime factors 素因数
46403409386644382526491978807405211619<38>
composite cofactor 合成数の残り
119674392576455578789923359777233391347690259700905916029061928604580141911040555401816864932651089829071580988388785300423604681053382560491091<144>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1794245027
Step 1 took 50823ms
Step 2 took 24408ms
********** Factor found in step 2: 46403409386644382526491978807405211619
Found probable prime factor of 38 digits: 46403409386644382526491978807405211619
Composite cofactor 

c144

name 名前Serge Batalov
date 日付May 24, 2014 19:11:59 UTC 2014 年 5 月 25 日 (日) 4 時 11 分 59 秒 (日本時間)
composite number 合成数
119674392576455578789923359777233391347690259700905916029061928604580141911040555401816864932651089829071580988388785300423604681053382560491091<144>
prime factors 素因数
363961856038876751682761150114377473337<39>
328810260170979301618112719587644411544408834560565092754171571219527646546530099786381502389259833764843<105>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=529766247
Step 1 took 36014ms
Step 2 took 22032ms
********** Factor found in step 2: 363961856038876751682761150114377473337
Found probable prime factor of 39 digits: 363961856038876751682761150114377473337
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 16, 2013 15:54:33 UTC 2013 年 3 月 17 日 (日) 0 時 54 分 33 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 04:38:49 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 49 秒 (日本時間)
4511e61800 / 4349Serge BatalovMay 24, 2014 17:35:46 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 46 秒 (日本時間)

11×10213+619

c176

composite cofactor 合成数の残り
39201457717862331442750194779736741465234793802809449975164017360495936117965783727605048967319369192074235849748381645262802347349530692501497782351300421290649029742362893721<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 16, 2013 15:54:44 UTC 2013 年 3 月 17 日 (日) 0 時 54 分 44 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:38:49 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 49 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:29 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 29 秒 (日本時間)
4511e6128 / 4061Youcef LemsaferNovember 14, 2014 08:03:29 UTC 2014 年 11 月 14 日 (金) 17 時 3 分 29 秒 (日本時間)

11×10215+619

c199

name 名前Warut Roonguthai
date 日付March 13, 2013 15:28:46 UTC 2013 年 3 月 14 日 (木) 0 時 28 分 46 秒 (日本時間)
composite number 合成数
9047595084098125497322639908271392652158368962423384173790769086299787710629019232275698382650342958152872779107815666695235754148532688830739227859994181054370394054999897787726889658588894560628121<199>
prime factors 素因数
7303871457222653518183135330801<31>
composite cofactor 合成数の残り
1238739637887676445020169481548016755779474353734612372793544953368405578775144699619814134610942412922328686198719890989434334216118220908120784535647658263060276641321<169>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2934490434
Step 1 took 12121ms
Step 2 took 7051ms
********** Factor found in step 2: 7303871457222653518183135330801
Found probable prime factor of 31 digits: 7303871457222653518183135330801
Composite cofactor 1238739637887676445020169481548016755779474353734612372793544953368405578775144699619814134610942412922328686198719890989434334216118220908120784535647658263060276641321 has 169 digits
software ソフトウェア
GMP-ECM 6.3

c169

name 名前Cyp
date 日付January 11, 2014 09:13:09 UTC 2014 年 1 月 11 日 (土) 18 時 13 分 9 秒 (日本時間)
composite number 合成数
1238739637887676445020169481548016755779474353734612372793544953368405578775144699619814134610942412922328686198719890989434334216118220908120784535647658263060276641321<169>
prime factors 素因数
200301998825217499484618742783535624079<39>
6184359842402742682374477975562665104453449208946685970706941551787161210149023164908742159233670498697823556178581290422053542599<130>
factorization results 素因数分解の結果
Run 37 out of 40:
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4243291190
Step 1 took 196859ms
Step 2 took 53117ms
********** Factor found in step 2: 200301998825217499484618742783535624079
Found probable prime factor of 39 digits: 200301998825217499484618742783535624079
Probable prime cofactor 6184359842402742682374477975562665104453449208946685970706941551787161210149023164908742159233670498697823556178581290422053542599 has 130 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 16, 2013 15:54:51 UTC 2013 年 3 月 17 日 (日) 0 時 54 分 51 秒 (日本時間)
403e6300 / 1610Serge BatalovJanuary 9, 2014 04:38:50 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 50 秒 (日本時間)
4511e60 / 4219--
5043e637 / 7534CypJanuary 11, 2014 09:13:08 UTC 2014 年 1 月 11 日 (土) 18 時 13 分 8 秒 (日本時間)

11×10216+619

c191

composite cofactor 合成数の残り
10011554628173454189597904555046398830558503817189456410257019864476635933574537471669194679306619955988368493768937456976758685925466598152888111474537494610135766945652661879501920935474269<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 16, 2013 15:55:21 UTC 2013 年 3 月 17 日 (日) 0 時 55 分 21 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:38:51 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 51 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:29 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 29 秒 (日本時間)
4511e60 / 3921--
5043e640 / 7485CypJanuary 22, 2014 22:25:46 UTC 2014 年 1 月 23 日 (木) 7 時 25 分 46 秒 (日本時間)

11×10217+619

c188

name 名前Warut Roonguthai
date 日付March 14, 2013 04:34:48 UTC 2013 年 3 月 14 日 (木) 13 時 34 分 48 秒 (日本時間)
composite number 合成数
14732441150921750100869683232001809631103202670104993277367612276962155574472848797906825747106888865916252461886306752719362747997022968676862905780377186818096040482180010775131824064751<188>
prime factors 素因数
21949294603619814862687724128163554189<38>
composite cofactor 合成数の残り
671203399333485553566528218101020814596911047383638478881717392162208493735559825489349922297714628343733353747728121085452981208503034049079898628459<150>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1811231371
Step 1 took 9282ms
Step 2 took 6099ms
********** Factor found in step 2: 21949294603619814862687724128163554189
Found probable prime factor of 38 digits: 21949294603619814862687724128163554189
Composite cofactor 671203399333485553566528218101020814596911047383638478881717392162208493735559825489349922297714628343733353747728121085452981208503034049079898628459 has 150 digits
software ソフトウェア
GMP-ECM 6.3

c150

name 名前Warut Roonguthai
date 日付March 16, 2013 01:43:49 UTC 2013 年 3 月 16 日 (土) 10 時 43 分 49 秒 (日本時間)
composite number 合成数
671203399333485553566528218101020814596911047383638478881717392162208493735559825489349922297714628343733353747728121085452981208503034049079898628459<150>
prime factors 素因数
136766132440818021994294998502282446401<39>
4907672589366605982000872962720567870088541896723976924424628560187426732119052412171439028376483142193789170859<112>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3318468621
Step 1 took 19578ms
Step 2 took 12387ms
********** Factor found in step 2: 136766132440818021994294998502282446401
Found probable prime factor of 39 digits: 136766132440818021994294998502282446401
Probable prime cofactor 4907672589366605982000872962720567870088541896723976924424628560187426732119052412171439028376483142193789170859 has 112 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10219+619

c129

name 名前Warut Roonguthai
date 日付March 15, 2013 03:49:49 UTC 2013 年 3 月 15 日 (金) 12 時 49 分 49 秒 (日本時間)
composite number 合成数
192427625379677710174421653494093483229962540800928560066313262582565864438424148293228691027911604118387550596695426313346223229<129>
prime factors 素因数
21870041316590894078498951913828391085973242899<47>
8798685955554169138941959671649647348723383067502994116997261976802531093309562671<82>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3489794505
Step 1 took 16177ms
Step 2 took 10920ms
********** Factor found in step 2: 21870041316590894078498951913828391085973242899
Found probable prime factor of 47 digits: 21870041316590894078498951913828391085973242899
Probable prime cofactor 8798685955554169138941959671649647348723383067502994116997261976802531093309562671 has 82 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10220+619

c219

name 名前Serge Batalov
date 日付November 8, 2013 18:04:26 UTC 2013 年 11 月 9 日 (土) 3 時 4 分 26 秒 (日本時間)
composite number 合成数
102707749766573295985060690943043884220354808590102707749766573295985060690943043884220354808590102707749766573295985060690943043884220354808590102707749766573295985060690943043884220354808590102707749766573295985060691<219>
prime factors 素因数
30899051954865282119867104035787353163490059<44>
composite cofactor 合成数の残り
3323977380166876229045340939289720410045631820573510502823292976864102171914900334319727484180135824340150996095098314969251751203334163319682246957906049671878599857056204249<175>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1087098641
Step 1 took 66968ms
Step 2 took 20887ms
********** Factor found in step 2: 30899051954865282119867104035787353163490059
Found probable prime factor of 44 digits: 30899051954865282119867104035787353163490059
Composite cofactor 

c175

name 名前Serge Batalov
date 日付May 27, 2014 01:18:42 UTC 2014 年 5 月 27 日 (火) 10 時 18 分 42 秒 (日本時間)
composite number 合成数
3323977380166876229045340939289720410045631820573510502823292976864102171914900334319727484180135824340150996095098314969251751203334163319682246957906049671878599857056204249<175>
prime factors 素因数
88159482025362964272952814364092802446939<41>
composite cofactor 合成数の残り
37704139178251835623590655257654318325346806481205524787713199624261730268115798148897291978515201621076546804254197379910898287555291<134>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=4056467977
Step 1 took 51180ms
Step 2 took 24477ms
********** Factor found in step 2: 88159482025362964272952814364092802446939
Found probable prime factor of 41 digits: 88159482025362964272952814364092802446939
Composite cofactor

c134

name 名前Erik Branger
date 日付August 15, 2014 06:53:49 UTC 2014 年 8 月 15 日 (金) 15 時 53 分 49 秒 (日本時間)
composite number 合成数
37704139178251835623590655257654318325346806481205524787713199624261730268115798148897291978515201621076546804254197379910898287555291<134>
prime factors 素因数
15619027230780187754907680627244202222581368965588727<53>
2413987671648900249831505060459913959472541971106083939424500296783390869065999933<82>
factorization results 素因数分解の結果
Number: 12229_220
N = 37704139178251835623590655257654318325346806481205524787713199624261730268115798148897291978515201621076546804254197379910898287555291 (134 digits)
Divisors found:
r1=15619027230780187754907680627244202222581368965588727 (pp53)
r2=2413987671648900249831505060459913959472541971106083939424500296783390869065999933 (pp82)
Version: Msieve v. 1.51 (SVN 845)
Total time: 143.01 hours.
Factorization parameters were as follows:
# Murphy_E = 5.134e-11, selected by Erik Branger
# expecting poly E from 5.04e-011 to > 5.80e-011
n: 37704139178251835623590655257654318325346806481205524787713199624261730268115798148897291978515201621076546804254197379910898287555291
Y0: -93700807238055667907343521
Y1: 194093139009517
c0: -1209914990523613168972401706719120
c1: 5546503287945933720863514156
c2: -4597865264280565378885
c3: -7627322266087862
c4: 10821750834
c5: 5220
skew: 950998.25
type: gnfs
# selected mechanically
rlim: 12200000
alim: 12200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 12200000/12200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19871874
Relations: 3142338 relations
Pruned matrix : 1841554 x 1841792
Polynomial selection time: 0.00 hours.
Total sieving time: 139.19 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 3.37 hours.
time per square root: 0.31 hours.
Prototype def-par.txt line would be: gnfs,133,5,65,2000,1e-05,0.28,250,20,50000,3600,12200000,12200000,28,28,54,54,2.6,2.6,100000
total time: 143.01 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
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
351e61418118Makoto KamadaMarch 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 16, 2013 15:55:27 UTC 2013 年 3 月 17 日 (日) 0 時 55 分 27 秒 (日本時間)
403e60--
4511e61150 / 4415850Serge BatalovNovember 8, 2013 17:15:08 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 8 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:00 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 0 秒 (日本時間)

11×10221+619

c155

name 名前Warut Roonguthai
date 日付March 16, 2013 11:07:51 UTC 2013 年 3 月 16 日 (土) 20 時 7 分 51 秒 (日本時間)
composite number 合成数
42973427408695682484033934997490954134821111482401436685238781650972074507583986819348877930250145300487558995694272430652618890426070040194175003992438203<155>
prime factors 素因数
69050780675682412484435070820389293112888619<44>
10041010873080624648520899654065922027370901255941082941<56>
61980341173071537090506645094291119967772461545423713157<56>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=869323492
Step 1 took 25257ms
Step 2 took 12885ms
********** Factor found in step 2: 69050780675682412484435070820389293112888619
Found probable prime factor of 44 digits: 69050780675682412484435070820389293112888619
Composite cofactor 622345279636058021954884346503211075761100942364579282592719437451088093019511506454268037285668065103929954737 has 111 digits

N = 622345279636058021954884346503211075761100942364579282592719437451088093019511506454268037285668065103929954737 (111 digits)
Divisors found:
r1=10041010873080624648520899654065922027370901255941082941 (pp56)
r2=61980341173071537090506645094291119967772461545423713157 (pp56)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 3.86 hours.
Factorization parameters were as follows:
n: 622345279636058021954884346503211075761100942364579282592719437451088093019511506454268037285668065103929954737
Y0: -2572874857500576789703
Y1: 398853191639
c0: -42874649872710046382323856
c1: 13303658240680772722820
c2: -42194515609663047
c3: -53392188576478
c4: -81397064
c5: 5520
skew: 34730.14  
type: gnfs
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 8340476
Relations: 570506 relations
Pruned matrix : 349824 x 350049
Polynomial selection time: 0.00 hours.
Total sieving time: 3.72 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.09 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: gnfs,110,5,61,2000,0.00015,0.3,250,15,50000,2400,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 3.86 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10224+619

c190

composite cofactor 合成数の残り
1077243703560745507695020367117794347959871181298245719651907673454186381893525710953506770212105099711210787259326802871320414628798319319475804366674922985404060287920448850116514339580323<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 16, 2013 15:55:32 UTC 2013 年 3 月 17 日 (日) 0 時 55 分 32 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 04:38:52 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 52 秒 (日本時間)
4511e6300 / 3682Serge BatalovMay 27, 2014 00:30:00 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 0 秒 (日本時間)
5043e6190 / 746640CypJanuary 11, 2014 06:33:04 UTC 2014 年 1 月 11 日 (土) 15 時 33 分 4 秒 (日本時間)
150CypFebruary 10, 2014 09:24:55 UTC 2014 年 2 月 10 日 (月) 18 時 24 分 55 秒 (日本時間)

11×10226+619

c195

composite cofactor 合成数の残り
176940410187366047556413495277442801441279215467260681156808857079018861527267804260591244765003929858646941009019271550187708352512642334907990233133731662850443448774272938412583292545773847737<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 16, 2013 15:55:39 UTC 2013 年 3 月 17 日 (日) 0 時 55 分 39 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:38:52 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 52 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:29 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 29 秒 (日本時間)
4511e60 / 3921--
5043e640 / 7485CypJanuary 21, 2014 23:52:14 UTC 2014 年 1 月 22 日 (水) 8 時 52 分 14 秒 (日本時間)

11×10228+619

c195

name 名前Serge Batalov
date 日付January 9, 2014 09:50:00 UTC 2014 年 1 月 9 日 (木) 18 時 50 分 0 秒 (日本時間)
composite number 合成数
474276059942474713923598037661315532176864637093279945454784180997153255878865962504420291284443917004774831163531135249630322713294406820615237627939969611992250755368824615666548013445618728859<195>
prime factors 素因数
18816082342208500844163907381370779<35>
composite cofactor 合成数の残り
25205887778167933415177297788085436215914922136308820677364774548795181179717250923020818282865623737249701729782108149344525725121496332951315232088662332907521<161>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1136670985
Step 1 took 19888ms
********** Factor found in step 1: 18816082342208500844163907381370779
Found probable prime factor of 35 digits: 18816082342208500844163907381370779

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 16, 2013 15:56:17 UTC 2013 年 3 月 17 日 (日) 0 時 56 分 17 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:38:53 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 53 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:30 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 30 秒 (日本時間)
4511e6256Youcef LemsaferNovember 14, 2014 04:17:17 UTC 2014 年 11 月 14 日 (金) 13 時 17 分 17 秒 (日本時間)
5043e63888 / 7427iveliveSeptember 13, 2020 02:58:23 UTC 2020 年 9 月 13 日 (日) 11 時 58 分 23 秒 (日本時間)

11×10229+619

c203

composite cofactor 合成数の残り
23461268893223616989890847460832060829965257157957421105235813432663925640876445832883342015770289302248669483917881783304152529157627597355125418510057811559330322080311716616327101680355729320181705339<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 16, 2013 15:56:23 UTC 2013 年 3 月 17 日 (日) 0 時 56 分 23 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:38:54 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 54 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:30 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 30 秒 (日本時間)
4511e6110 / 4061Youcef LemsaferNovember 5, 2014 22:24:30 UTC 2014 年 11 月 6 日 (木) 7 時 24 分 30 秒 (日本時間)

11×10230+619

c178

name 名前Serge Batalov
date 日付May 19, 2014 00:04:29 UTC 2014 年 5 月 19 日 (月) 9 時 4 分 29 秒 (日本時間)
composite number 合成数
9707773617556103434421307513650803899171643767817089748976686915304036532163301710982452911830652688225432505164487694194988444776924782265493554019298794399084414261593181404297<178>
prime factors 素因数
10707075645131390685503210894035408945753<41>
906669004619419177773059260306770030352757664095263571655931387949999010224330223036709892230236945376887389524277937265009407343573820849<138>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3172121472
Step 1 took 13915ms
Step 2 took 9672ms
********** Factor found in step 2: 10707075645131390685503210894035408945753
Found probable prime factor of 41 digits: 10707075645131390685503210894035408945753
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 16, 2013 15:56:29 UTC 2013 年 3 月 17 日 (日) 0 時 56 分 29 秒 (日本時間)
403e6300 / 1964Serge BatalovJanuary 9, 2014 04:38:55 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 55 秒 (日本時間)

11×10231+619

c208

composite cofactor 合成数の残り
2818967829369115571257140396264562741133133823628701023361594786263712472294606993345320966372601913229289882787864172476496159183918346519582735882238505122428418763647562081737647595704633131833917206870579<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 16, 2013 15:56:35 UTC 2013 年 3 月 17 日 (日) 0 時 56 分 35 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:38:56 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 56 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:30 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 30 秒 (日本時間)
4511e6160 / 4061Youcef LemsaferNovember 5, 2014 05:12:46 UTC 2014 年 11 月 5 日 (水) 14 時 12 分 46 秒 (日本時間)

11×10233+619

c180

name 名前Serge Batalov
date 日付January 9, 2014 17:22:44 UTC 2014 年 1 月 10 日 (金) 2 時 22 分 44 秒 (日本時間)
composite number 合成数
183626087430061760465083520747873104696045611805715472674585174671208256986781197161894597046776498027157567418695053773567278140954684348356208623385076402564761781152031869924241<180>
prime factors 素因数
984018125959009835785551368761449104604415087<45>
186608440013340639484350759090207704235233759915205397888600016785198707671002657215235074781027845698124890963868776672477891376236543<135>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3558382061
Step 1 took 13780ms
Step 2 took 5153ms
********** Factor found in step 2: 984018125959009835785551368761449104604415087
Found probable prime factor of 45 digits: 984018125959009835785551368761449104604415087
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 16, 2013 15:56:51 UTC 2013 年 3 月 17 日 (日) 0 時 56 分 51 秒 (日本時間)
403e6300 / 1964Serge BatalovJanuary 9, 2014 04:38:57 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 57 秒 (日本時間)

11×10234+619

c235

name 名前Warut Roonguthai
date 日付March 13, 2013 17:57:13 UTC 2013 年 3 月 14 日 (木) 2 時 57 分 13 秒 (日本時間)
composite number 合成数
1222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229<235>
prime factors 素因数
12249487083111236411720736461306025149<38>
composite cofactor 合成数の残り
99777420387449486484557558107969396426793680439764053864148325641145835836655093553182246704546939299964927426943241355473276844513406248931019121461336690141983255071137230632775067834001817940921<197>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4083575183
Step 1 took 15881ms
Step 2 took 8580ms
********** Factor found in step 2: 12249487083111236411720736461306025149
Found probable prime factor of 38 digits: 12249487083111236411720736461306025149
Composite cofactor 99777420387449486484557558107969396426793680439764053864148325641145835836655093553182246704546939299964927426943241355473276844513406248931019121461336690141983255071137230632775067834001817940921 has 197 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 16, 2013 15:56:59 UTC 2013 年 3 月 17 日 (日) 0 時 56 分 59 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:38:58 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 58 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:31 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 31 秒 (日本時間)
4511e6226 / 4061Youcef LemsaferNovember 4, 2014 17:58:27 UTC 2014 年 11 月 5 日 (水) 2 時 58 分 27 秒 (日本時間)

11×10235+619

c184

composite cofactor 合成数の残り
3837724566310568409298664448779072803975211752054715624380132177965383499381732738192524530364913325834382761794152266549050778690443808008713770058051168191897110693698048110907975183<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 16, 2013 15:57:05 UTC 2013 年 3 月 17 日 (日) 0 時 57 分 5 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 04:38:58 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 58 秒 (日本時間)
4511e6672 / 4208372CypFebruary 19, 2014 13:53:36 UTC 2014 年 2 月 19 日 (水) 22 時 53 分 36 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:01 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 1 秒 (日本時間)
5043e640 / 7383CypFebruary 2, 2014 11:02:55 UTC 2014 年 2 月 2 日 (日) 20 時 2 分 55 秒 (日本時間)

11×10238+619

c207

name 名前Seth Troisi
date 日付December 6, 2023 19:11:07 UTC 2023 年 12 月 7 日 (木) 4 時 11 分 7 秒 (日本時間)
composite number 合成数
982262175386303625715119492756782807387017894200858602706301299778168823182497037528157874295786538346560401498245369658323098117289167954404886437154782332424271576720313647847959126267403232297311525327043<207>
prime factors 素因数
229546838843595702378553145427825824319886064531<48>
composite cofactor 合成数の残り
4279136146394849327977679905159696050123968164736397852549218768421319534152619764320567169608010786082920163870623082707278198803757002878816718004999243559953<160>
factorization results 素因数分解の結果
vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
WorkUnit(uid=604,
         n='982262175386303625715119492756782807387017894200858602706301299778168823182497037528157874295786538346560401498245369658323098117289167954404886437154782332424271576720313647847959126267403232297311525327043',
         params=(),
         B1='10000000000',
         B2='8e15',
         resume_line='METHOD=P-1; B1=10000000000; '
                     'N=982262175386303625715119492756782807387017894200858602706301299778168823182497037528157874295786538346560401498245369658323098117289167954404886437154782332424271576720313647847959126267403232297311525327043; '
                     'X=0x5dfd96a9fa3dd5b0fceb0345e0b6f15a7a66b71823919e3332ae465cfc962159c8fcf3f1ee917cc5ff8fb2bb6c1887e09fb2bd45d3c8da28392348df0317cdf3059b927f7e17785c47890ef5c39c8df1cc4a97115342; '
                     'CHECKSUM=1201167970; PROGRAM=GMP-ECM 7.0.6-dev; X0=0x3; '
                     'WHO=five@five; TIME=Wed Nov 22 12:58:40 2023;\n')
------------------------------------ result ------------------------------------
EcmOutput(factors=(229546838843595702378553145427825824319886064531,),
          exit_status=6,
          resume_line='',
          using='Using B1=10000000000-10000000000, B2=8344913552924776, '
                'polynomial x^1',
          version='GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, '
                  '--enable-asm-redc, --enable-assert] [ECM]',
          output='OMMITTED<1928>',
          timings=(('0',), ('556597',)),
          runtime=0)
------------------------------------ output ------------------------------------
GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/params.h
Running on sethtroisi-linux.sea.corp.google.com
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Wed Nov 22 12:58:40 2023
Input number is 982262175386303625715119492756782807387017894200858602706301299778168823182497037528157874295786538346560401498245369658323098117289167954404886437154782332424271576720313647847959126267403232297311525327043 (207 digits)
Using mpz_mod
Using lmax = 33554432 with NTT which takes about 9984MB of memory
Using B1=10000000000-10000000000, B2=8344913552924776, polynomial x^1
P = 240705465, l = 33554432, s_1 = 16220160, k = s_2 = 5, m_1 = 16
Probability of finding a factor of n digits (assuming one exists):
20      25      30      35      40      45      50      55      60      65
0.81    0.55    0.3     0.14    0.055   0.019   0.0063  0.0018  0.0005  0.00013
Step 1 took 0ms      
Computing F from factored S_1 took 94172ms
Computing h took 11413ms
Computing DCT-I of h took 27748ms
Multi-point evaluation 1 of 5:
Computing g_i took 37066ms
Computing g*h took 54930ms
Computing gcd of coefficients and N took 13415ms 
Multi-point evaluation 2 of 5:
Computing g_i took 36724ms
Computing g*h took 54685ms 
Computing gcd of coefficients and N took 13509ms
Multi-point evaluation 3 of 5:
Computing g_i took 37200ms
Computing g*h took 54740ms
Computing gcd of coefficients and N took 13456ms
Multi-point evaluation 4 of 5:
Computing g_i took 37307ms
Computing g*h took 55028ms
Computing gcd of coefficients and N took 13799ms 
Step 2 took 556597ms
********** Factor found in step 2: 229546838843595702378553145427825824319886064531
Found prime factor of 48 digits: 229546838843595702378553145427825824319886064531
Composite cofactor 4279136146394849327977679905159696050123968164736397852549218768421319534152619764320567169608010786082920163870623082707278198803757002878816718004999243559953 has 160 digits
Peak memory usage: 10392MB
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
software ソフトウェア
gmp-ecm + ecm-db
execution environment 実行環境
1080 TI for stage 1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 16, 2013 15:57:19 UTC 2013 年 3 月 17 日 (日) 0 時 57 分 19 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:38:59 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 59 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:31 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 31 秒 (日本時間)
4511e64689209Youcef LemsaferNovember 4, 2014 09:11:56 UTC 2014 年 11 月 4 日 (火) 18 時 11 分 56 秒 (日本時間)
4480Ignacio SantosDecember 9, 2023 15:14:51 UTC 2023 年 12 月 10 日 (日) 0 時 14 分 51 秒 (日本時間)

11×10239+619

c223

name 名前Serge Batalov
date 日付May 19, 2014 02:01:37 UTC 2014 年 5 月 19 日 (月) 11 時 1 分 37 秒 (日本時間)
composite number 合成数
1033726272568287334340836353241094135177793019869500846487765191227983275416380078711340503042071150583370847804786127379986969149841294582661242628392646019073583583541806745064664124895944198082272282299686085822316332657<223>
prime factors 素因数
226075965859349870003591838304170831757<39>
composite cofactor 合成数の残り
4572473100530315860003910207175363132110005888179824785136332792902140422723704524425432750222650816900015935497085691474871065778590816836584293390502895897542005155729447342724003701<184>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1385446605
Step 1 took 20043ms
Step 2 took 14397ms
********** Factor found in step 2: 226075965859349870003591838304170831757
Found probable prime factor of 39 digits: 226075965859349870003591838304170831757
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 16, 2013 15:57:25 UTC 2013 年 3 月 17 日 (日) 0 時 57 分 25 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:39:00 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 0 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:32 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 32 秒 (日本時間)
4511e6400 / 4061Youcef LemsaferNovember 24, 2014 05:13:58 UTC 2014 年 11 月 24 日 (月) 14 時 13 分 58 秒 (日本時間)

11×10240+619

c195

name 名前Warut Roonguthai
date 日付March 13, 2013 18:53:31 UTC 2013 年 3 月 14 日 (木) 3 時 53 分 31 秒 (日本時間)
composite number 合成数
383127206733367829366022669815824140735164055495268846728066210255804217272026157514777074972599378374124908786342561956722600703330353373406789508720104378337286785067568215788102283062546523437<195>
prime factors 素因数
34350835187271798397514278679<29>
11153359289363946380727414106881989063879205954328335842316027141562267408234542102944030900544478448863005657850567468617153957588604679764032570427215573577405120603<167>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2829913336
Step 1 took 9688ms
Step 2 took 5803ms
********** Factor found in step 2: 34350835187271798397514278679
Found probable prime factor of 29 digits: 34350835187271798397514278679
Probable prime cofactor 11153359289363946380727414106881989063879205954328335842316027141562267408234542102944030900544478448863005657850567468617153957588604679764032570427215573577405120603 has 167 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間)

11×10243+619

c240

composite cofactor 合成数の残り
163464253339871903466928209472010461712213751801821883405406208669549581680115316600537945997354851173227527380262434428543830710475086561752336795803426805165470405539952149554931419315530590105954556937571515610836193957766781091644004577<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 16, 2013 15:57:43 UTC 2013 年 3 月 17 日 (日) 0 時 57 分 43 秒 (日本時間)
403e60--
4511e624501600Dmitry DomanovMarch 19, 2013 11:13:10 UTC 2013 年 3 月 19 日 (火) 20 時 13 分 10 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:17:38 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 38 秒 (日本時間)
5043e6800 / 6995500Dmitry DomanovMay 8, 2013 16:23:19 UTC 2013 年 5 月 9 日 (木) 1 時 23 分 19 秒 (日本時間)
300Dmitry DomanovMay 24, 2013 15:48:25 UTC 2013 年 5 月 25 日 (土) 0 時 48 分 25 秒 (日本時間)

11×10245+619

c222

composite cofactor 合成数の残り
136877935512026593682728868424289544352834015219928095301941620774594604457863367184769017850364085219516338881126548911350645547694230055979814291167355237475762849870137416283003739431545270877944140755924115938163530727<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 16, 2013 15:57:48 UTC 2013 年 3 月 17 日 (日) 0 時 57 分 48 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:39:01 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 1 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:32 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 32 秒 (日本時間)
4511e6400 / 4061Youcef LemsaferNovember 24, 2014 05:14:44 UTC 2014 年 11 月 24 日 (月) 14 時 14 分 44 秒 (日本時間)

11×10246+619

c238

composite cofactor 合成数の残り
2722645341975718526606029251131797418950680292701690286764707179977358842705420768782657792093288577429845385230731593072339120225170353586235389060832728953713708208395501010445093969112781113945258680369251586721754009274032477267527037<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 16, 2013 15:57:56 UTC 2013 年 3 月 17 日 (日) 0 時 57 分 56 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:39:01 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 1 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:32 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 32 秒 (日本時間)
4511e6400 / 4061Youcef LemsaferNovember 24, 2014 05:15:25 UTC 2014 年 11 月 24 日 (月) 14 時 15 分 25 秒 (日本時間)

11×10249+619

c196

composite cofactor 合成数の残り
7100275346895979152291354016302215112883158329990406787548985955768000000857606634199638399342048496006821775486459827182297132939825859308581323618105037958406021642393602161081244963940597766607<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 13, 2013 14:00:00 UTC 2013 年 3 月 13 日 (水) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 16, 2013 15:58:19 UTC 2013 年 3 月 17 日 (日) 0 時 58 分 19 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:39:02 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 2 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:32 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 32 秒 (日本時間)
4511e6120 / 4061Youcef LemsaferOctober 29, 2014 21:35:23 UTC 2014 年 10 月 30 日 (木) 6 時 35 分 23 秒 (日本時間)

11×10251+619

c228

composite cofactor 合成数の残り
100569493133200740759037279677375214353049398760029035423183074610614907117634156770779519114832726019429806855770108936128300528608124193638744200629290605394740682816588252748017479398822896312372395774569904137324370664853691<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 25, 2016 07:26:58 UTC 2016 年 3 月 25 日 (金) 16 時 26 分 58 秒 (日本時間)
4511e62000 / 43461000Lionel DebrouxJune 12, 2020 11:56:41 UTC 2020 年 6 月 12 日 (金) 20 時 56 分 41 秒 (日本時間)
1000Lionel DebrouxJuly 11, 2020 17:51:24 UTC 2020 年 7 月 12 日 (日) 2 時 51 分 24 秒 (日本時間)

11×10252+619

c171

composite cofactor 合成数の残り
207849014051816238989745598825673006248112102434702603614580877637801025550774169984104614636005529601764228245292406133516162893762815109897535444461893585979321633994943<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Ignacio SantosNovember 13, 2015 16:12:26 UTC 2015 年 11 月 14 日 (土) 1 時 12 分 26 秒 (日本時間)
403e6600Dmitry DomanovNovember 14, 2015 22:48:32 UTC 2015 年 11 月 15 日 (日) 7 時 48 分 32 秒 (日本時間)
4511e6600Dmitry DomanovNovember 19, 2015 10:56:22 UTC 2015 年 11 月 19 日 (木) 19 時 56 分 22 秒 (日本時間)
5043e61500 / 7391Erik BrangerDecember 7, 2015 07:09:04 UTC 2015 年 12 月 7 日 (月) 16 時 9 分 4 秒 (日本時間)

11×10253+619

c227

composite cofactor 合成数の残り
15954088360128959668724301286821355371959645209830701679698708180980531726330554342246162466537511387589645725779165047467883679548392656877402428122322112582827566610002242129793223515565887931475807553752505719924679490037563<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 25, 2016 07:27:17 UTC 2016 年 3 月 25 日 (金) 16 時 27 分 17 秒 (日本時間)
4511e61000 / 4346Lionel DebrouxJuly 19, 2020 16:45:45 UTC 2020 年 7 月 20 日 (月) 1 時 45 分 45 秒 (日本時間)

11×10254+619

c252

composite cofactor 合成数の残り
947459086993970714900947459086993970714900947459086993970714900947459086993970714900947459086993970714900947459086993970714900947459086993970714900947459086993970714900947459086993970714900947459086993970714900947459086993970714900947459086993970714901<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Ignacio SantosNovember 13, 2015 18:43:02 UTC 2015 年 11 月 14 日 (土) 3 時 43 分 2 秒 (日本時間)
403e6600Dmitry DomanovNovember 14, 2015 09:55:32 UTC 2015 年 11 月 14 日 (土) 18 時 55 分 32 秒 (日本時間)
4511e6800 / 4305Dmitry DomanovFebruary 5, 2016 14:34:21 UTC 2016 年 2 月 5 日 (金) 23 時 34 分 21 秒 (日本時間)

11×10256+619

c245

composite cofactor 合成数の残り
66074126009037102463683864196903571595530969028985355910276949261642036799317121248393231844137281561514060019092076819315381027358490584125386175664281934290954213558877373565634652111351417668352860054478324162977642602603492564475901903664509<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62400600Dmitry DomanovApril 10, 2016 01:28:24 UTC 2016 年 4 月 10 日 (日) 10 時 28 分 24 秒 (日本時間)
1800ebinaJune 28, 2022 01:22:09 UTC 2022 年 6 月 28 日 (火) 10 時 22 分 9 秒 (日本時間)

11×10258+619

c235

name 名前ebina
date 日付June 28, 2022 03:05:34 UTC 2022 年 6 月 28 日 (火) 12 時 5 分 34 秒 (日本時間)
composite number 合成数
5754672254778753981570594685320291503461030453266467756878091921047690432445330925906136353878242358675093782524752158473315066013220585716087884011816263164746795558420036969891182665260181199141019135083373260564891146058323237547613<235>
prime factors 素因数
646526895285452945039410749715878708913<39>
composite cofactor 合成数の残り
8900901566110355573094125168784761321850428943833240804951269860872978206950416117603347055275575072483772675663130621510015762571793110970107575969691663411528491113246238664520754758303766209901<196>
factorization results 素因数分解の結果
Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:3848595101 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 5754672254778753981570594685320291503461030453266467756878091921047690432445330925906136353878242358675093782524752158473315066013220585716087884011816263164746795558420036969891182665260181199141019135083373260564891146058323237547613 (235 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3848595101
Step 1 took 11015ms
Step 2 took 7360ms
********** Factor found in step 2: 646526895285452945039410749715878708913
Found probable prime factor of 39 digits: 646526895285452945039410749715878708913
Composite cofactor 8900901566110355573094125168784761321850428943833240804951269860872978206950416117603347055275575072483772675663130621510015762571793110970107575969691663411528491113246238664520754758303766209901 has 196 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62393600Dmitry DomanovApril 10, 2016 01:28:38 UTC 2016 年 4 月 10 日 (日) 10 時 28 分 38 秒 (日本時間)
1793ebinaJune 28, 2022 03:01:53 UTC 2022 年 6 月 28 日 (火) 12 時 1 分 53 秒 (日本時間)

11×10262+619

c229

composite cofactor 合成数の残り
8623331591217632062370707592384178619516313964307174214994796032627292855531945107197947255338335903509405240738506841518977957695618633389462681929843530211292163888818014114253187671606487786145569037310019222576312479199875503<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovApril 10, 2016 01:28:50 UTC 2016 年 4 月 10 日 (日) 10 時 28 分 50 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 22:56:11 UTC 2023 年 9 月 29 日 (金) 7 時 56 分 11 秒 (日本時間)

11×10264+619

c202

name 名前anonymous
date 日付August 13, 2023 03:50:43 UTC 2023 年 8 月 13 日 (日) 12 時 50 分 43 秒 (日本時間)
composite number 合成数
8283365295626947608481045454359445909479216678719814446464296801817415509505236541050524328459222709432913648006067494867285437483807055267028542380498286428669415655878722225006681939171531449484550979<202>
prime factors 素因数
107247005543597621454320003628070503619<39>
77236331715197654221138768116651355261695456344584509300570015563280550352312733412256548824320970105436002655937372840978812819625165108340942237485098906078445441<164>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:17912363182962300174
Step 1 took 18610ms
Step 2 took 6656ms
********** Factor found in step 2: 107247005543597621454320003628070503619
Found prime factor of 39 digits: 107247005543597621454320003628070503619
Prime cofactor 77236331715197654221138768116651355261695456344584509300570015563280550352312733412256548824320970105436002655937372840978812819625165108340942237485098906078445441 has 164 digits
software ソフトウェア
GMP-ECM 7.0.5

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovApril 10, 2016 01:29:04 UTC 2016 年 4 月 10 日 (日) 10 時 29 分 4 秒 (日本時間)

11×10265+619

c253

name 名前Dmitry Domanov
date 日付April 10, 2016 09:53:55 UTC 2016 年 4 月 10 日 (日) 18 時 53 分 55 秒 (日本時間)
composite number 合成数
4423035433383291210513105320228300361381234279215259479012545237874404188456871884714471452641639455580972000599250364259480053554034019125037581469357749952389657495383878057817084177938637179751330433277664880059319864545758990781163587510524280823209<253>
prime factors 素因数
133027516420315271720059731431<30>
composite cofactor 合成数の残り
33249026610466195251721529966684422418596750995884844306884261721067660766612080473540176833382963137733030887729999325138533964522972645620143240413937486166301794916820791432627987417279191644366738114501225910955259475439<224>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2237441135
Step 1 took 54194ms
Step 2 took 16713ms
********** Factor found in step 2: 133027516420315271720059731431
Found probable prime factor of 30 digits: 133027516420315271720059731431

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovApril 10, 2016 01:29:18 UTC 2016 年 4 月 10 日 (日) 10 時 29 分 18 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 22:56:21 UTC 2023 年 9 月 29 日 (金) 7 時 56 分 21 秒 (日本時間)

11×10266+619

c238

composite cofactor 合成数の残り
1906938711723240549918725314845794990674936640022782957477031504437954285033263269075210661829550435605982350634675852037775008777979275872340006305584643832133639842801714796004942027975322819949840577748122906483988834535912893179187243<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovApril 10, 2016 01:29:30 UTC 2016 年 4 月 10 日 (日) 10 時 29 分 30 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 22:56:29 UTC 2023 年 9 月 29 日 (金) 7 時 56 分 29 秒 (日本時間)

11×10267+619

c226

name 名前Dmitry Domanov
date 日付April 10, 2016 09:53:32 UTC 2016 年 4 月 10 日 (日) 18 時 53 分 32 秒 (日本時間)
composite number 合成数
1464514736714838914135268605839467893159645432181551496421680014957790947807305096344107380092154475595285134698682243395045471684664610555969495256959730450534748212356703440836565604454782943449008215705545998403937971195133<226>
prime factors 素因数
17594277564528279894943181300599<32>
83238128496246899629621204491916706532845500104056209253190931020542645926350533884349278478469670730442054076309054904469792718486231125492280453760572745911939864532120782042630407849442945067<194>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3878500217
Step 1 took 42969ms
Step 2 took 13825ms
********** Factor found in step 2: 17594277564528279894943181300599
Found probable prime factor of 32 digits: 17594277564528279894943181300599

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovApril 10, 2016 01:29:43 UTC 2016 年 4 月 10 日 (日) 10 時 29 分 43 秒 (日本時間)

11×10268+619

c249

composite cofactor 合成数の残り
326081420387009388640172231524823924614929015781867375892141882516802136270803629683022994192802614811268556333230511897124814104278660252808729029589020603129952121381280701695057556966697357644737233244077947048478316457347022408408592968117342389<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovApril 10, 2016 01:29:54 UTC 2016 年 4 月 10 日 (日) 10 時 29 分 54 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 22:56:38 UTC 2023 年 9 月 29 日 (金) 7 時 56 分 38 秒 (日本時間)

11×10269+619

c236

name 名前Dmitry Domanov
date 日付September 30, 2023 06:57:19 UTC 2023 年 9 月 30 日 (土) 15 時 57 分 19 秒 (日本時間)
composite number 合成数
69534406520230095808579637418898711792597733020900837076371237753694226560375943397774165320442479205944640321925742893063070329679636240221501727277185500078398670796156190651396527368114690789358312038069288506643163505785294905881763<236>
prime factors 素因数
23038127992825507937296090605402478717<38>
composite cofactor 合成数の残り
3018231626366707167151319303702767871913176352598701709862405241391900562474319699109293153301965422477073761329873649128159563342288071083725509199670661072172256552501701574696310026233589439425439<199>
factorization results 素因数分解の結果
Resuming ECM residue saved by @746e5c169655 with GMP-ECM 7.0.5-dev on Fri Sep 29 10:16:31 2023 
Input number is 69534406520230095808579637418898711792597733020900837076371237753694226560375943397774165320442479205944640321925742893063070329679636240221501727277185500078398670796156190651396527368114690789358312038069288506643163505785294905881763 (236 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1271052926
Step 1 took 0ms
Step 2 took 5439ms
********** Factor found in step 2: 23038127992825507937296090605402478717
Found prime factor of 38 digits: 23038127992825507937296090605402478717
Composite cofactor 3018231626366707167151319303702767871913176352598701709862405241391900562474319699109293153301965422477073761329873649128159563342288071083725509199670661072172256552501701574696310026233589439425439 has 199 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovApril 10, 2016 01:30:06 UTC 2016 年 4 月 10 日 (日) 10 時 30 分 6 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 22:56:47 UTC 2023 年 9 月 29 日 (金) 7 時 56 分 47 秒 (日本時間)

11×10271+619

c197

name 名前Dmitry Domanov
date 日付April 10, 2016 09:52:22 UTC 2016 年 4 月 10 日 (日) 18 時 52 分 22 秒 (日本時間)
composite number 合成数
54566905453975987895233612723003695605259101131749012175973652819493553881782887846051794506011600690087472393256154067853613419165161010852710078189253042287013410785058392677698646935175390041413<197>
prime factors 素因数
793056812318334314869300960263426262831<39>
composite cofactor 合成数の残り
68805796263777306640885843624678904545707616827760340758361561836318142786636708018356635278113939530523070985712780692579849184372975344673171367291350437323<158>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1264921666
Step 1 took 30348ms
Step 2 took 11547ms
********** Factor found in step 2: 793056812318334314869300960263426262831
Found probable prime factor of 39 digits: 793056812318334314869300960263426262831

c158

name 名前Dmitry Domanov
date 日付April 10, 2016 17:20:29 UTC 2016 年 4 月 11 日 (月) 2 時 20 分 29 秒 (日本時間)
composite number 合成数
68805796263777306640885843624678904545707616827760340758361561836318142786636708018356635278113939530523070985712780692579849184372975344673171367291350437323<158>
prime factors 素因数
47045216107483400484659459417543858809663<41>
6104376670188409103847007693018064140315016957<46>
239589749471224876104266852692344910385167710713422887920243735040539353<72>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=562201437
Step 1 took 55736ms
Step 2 took 22083ms
********** Factor found in step 2: 47045216107483400484659459417543858809663
Found probable prime factor of 41 digits: 47045216107483400484659459417543858809663

N=1462546077088430860003329627217966145782630187144174217607534871377915167074955413239515226730925077658886398620808821
  ( 118 digits)
Divisors found:
 r1=6104376670188409103847007693018064140315016957 (pp46)
 r2=239589749471224876104266852692344910385167710713422887920243735040539353 (pp72)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 23.72 hours.
Scaled time: 39.52 units (timescale=1.666).
Factorization parameters were as follows:
n: 1462546077088430860003329627217966145782630187144174217607534871377915167074955413239515226730925077658886398620808821
skew: 307022.65
c0: -8599062199330285263843888247
c1: 9426929714827109891023255
c2: -18975210630583470278
c3: -213150252089272
c4: 165272634
c5: 828
Y0: -70699409153065883885850
Y1: 243700128367
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
type: gnfs
rlambda: 2.5
alambda: 2.5
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2550000, 3750001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 607948 x 608176
Total sieving time: 23.01 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.45 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5100000,5100000,27,27,54,54,2.5,2.5,100000
total time: 23.72 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
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovApril 10, 2016 01:30:21 UTC 2016 年 4 月 10 日 (日) 10 時 30 分 21 秒 (日本時間)

11×10273+619

c246

composite cofactor 合成数の残り
129419415080636220584359012925898426749572112104304228336202511526853266751621590853975571288557068514689781186977268876028270355120105702633456515670922936271601323373157639223477905936921272737752994612462005250081043360114356516437503209383641<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovApril 10, 2016 01:30:35 UTC 2016 年 4 月 10 日 (日) 10 時 30 分 35 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 22:56:57 UTC 2023 年 9 月 29 日 (金) 7 時 56 分 57 秒 (日本時間)

11×10274+619

c269

composite cofactor 合成数の残り
51144782976412491043851071971403556980170237734899851540643596649923724530479268462220511196755374967976391568178087994134158345178000118097953418261570228528838915786395208756730769677839012031577718914782097652128994581907672507865835145485984702130459182511087956473<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 14, 2015 09:49:17 UTC 2015 年 11 月 14 日 (土) 18 時 49 分 17 秒 (日本時間)
4511e6800 / 4346Dmitry DomanovJanuary 23, 2016 15:37:12 UTC 2016 年 1 月 24 日 (日) 0 時 37 分 12 秒 (日本時間)

11×10276+619

c251

composite cofactor 合成数の残り
22520061676598436736837014424478874792174458132720188677784655073143017588246989513267572752754854904827126962993967911661907750447881599465470800866369967813892158348062687365425315884873602471540787773506525938875863813251103842916186792490969541727<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovApril 10, 2016 09:54:29 UTC 2016 年 4 月 10 日 (日) 18 時 54 分 29 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 22:57:10 UTC 2023 年 9 月 29 日 (金) 7 時 57 分 10 秒 (日本時間)

11×10277+619

c252

composite cofactor 合成数の残り
331081298483843933804561959914878889914510683759748868369256003603571923739514622580423508588717937238573923242969120246049395818621286477068349248361847055103177170300760703419817604462950556714971909755617008591324805665602576162667304876805485524379<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovApril 10, 2016 09:54:39 UTC 2016 年 4 月 10 日 (日) 18 時 54 分 39 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 22:57:19 UTC 2023 年 9 月 29 日 (金) 7 時 57 分 19 秒 (日本時間)

11×10278+619

c224

composite cofactor 合成数の残り
99200129420533313398259469634156422418251552185596394356795002436713740330731520633399460732783628292117338649913360848107293659869800633534788661608672916859215173932669761654361874546573447785037906684077989102667759405651<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovApril 10, 2016 09:54:51 UTC 2016 年 4 月 10 日 (日) 18 時 54 分 51 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 22:57:29 UTC 2023 年 9 月 29 日 (金) 7 時 57 分 29 秒 (日本時間)

11×10280+619

c232

composite cofactor 合成数の残り
9665771429472046585088789139090726650384210367108174106141211767679198043434367872701157802721671284139287250561003385482137411360907671299256821224375266342419274154911396028924705711749520281959260489792239879376992322200472197897<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovApril 10, 2016 09:55:02 UTC 2016 年 4 月 10 日 (日) 18 時 55 分 2 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 22:58:20 UTC 2023 年 9 月 29 日 (金) 7 時 58 分 20 秒 (日本時間)

11×10281+619

c264

composite cofactor 合成数の残り
519611863218396506673652580630612013506118215948854831299496661483621207403501792464239258203975847285763136460779062721812884622324193297914623949457464502824696336382561976562546416104886060000057609249055587245491959561740995288408890776886509755529662672280757<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovApril 10, 2016 09:55:14 UTC 2016 年 4 月 10 日 (日) 18 時 55 分 14 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 22:58:29 UTC 2023 年 9 月 29 日 (金) 7 時 58 分 29 秒 (日本時間)

11×10282+619

c254

composite cofactor 合成数の残り
39706504750981832594463213847475044362310744593096071382080993959798895202787113348302829586974913065337643887277800696059851241189837772301513833371708455614372614634458217743565214563278976368956791378453197062299345673252781345148202542211235007806251<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovApril 10, 2016 09:55:26 UTC 2016 年 4 月 10 日 (日) 18 時 55 分 26 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 22:58:38 UTC 2023 年 9 月 29 日 (金) 7 時 58 分 38 秒 (日本時間)

11×10283+619

c227

name 名前Dmitry Domanov
date 日付April 10, 2016 12:46:49 UTC 2016 年 4 月 10 日 (日) 21 時 46 分 49 秒 (日本時間)
composite number 合成数
15434560406020412929301713270196821282933934795421550631501391479183867416321997744730337771263866727868979878757260025629307777400743273292669168399861085753690780015351431643442972922887206817801046946708130889371686669490881<227>
prime factors 素因数
11837556875530759364205393893869<32>
composite cofactor 合成数の残り
1303863674600370194577021805807209872732839974686692498121392007154823240021310279071255159471827510183609063286661416463311978610218896109466428505173700524633570674418434671831134600683771107749<196>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=315064981
Step 1 took 29634ms
Step 2 took 11678ms
********** Factor found in step 2: 11837556875530759364205393893869
Found probable prime factor of 32 digits: 11837556875530759364205393893869

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovApril 10, 2016 09:55:37 UTC 2016 年 4 月 10 日 (日) 18 時 55 分 37 秒 (日本時間)
4511e62000Dmitry DomanovApril 10, 2016 16:26:26 UTC 2016 年 4 月 11 日 (月) 1 時 26 分 26 秒 (日本時間)
5043e67172672Dmitry DomanovApril 10, 2016 23:06:18 UTC 2016 年 4 月 11 日 (月) 8 時 6 分 18 秒 (日本時間)
6500Erik BrangerAugust 29, 2017 11:38:31 UTC 2017 年 8 月 29 日 (火) 20 時 38 分 31 秒 (日本時間)

11×10286+619

c284

name 名前Seth Troisi
date 日付January 2, 2024 18:54:42 UTC 2024 年 1 月 3 日 (水) 3 時 54 分 42 秒 (日本時間)
composite number 合成数
18000327278677794141711667484863361152020945835378825069546719031255113729340533464244804450990018000327278677794141711667484863361152020945835378825069546719031255113729340533464244804450990018000327278677794141711667484863361152020945835378825069546719031255113729340533464244804451<284>
prime factors 素因数
4637603482399831618007243367369715289369<40>
composite cofactor 合成数の残り
3881385579209355411956802012792237232818318621672249707718388850953087255713457670341472632332765032692739969273748304111358028907192394296369400965246870602751635554726565837115894776840747565252213703549756728762324361943194990753094767394779<244>
factorization results 素因数分解の結果
GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, --enable-asm-redc, --enable-gpu, --enable-assert] [ECM]
Tuned for x86_64/params.h
Running on five
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Mon Dec  4 06:30:02 2023
Input number is 18000327278677794141711667484863361152020945835378825069546719031255113729340533464244804450990018000327278677794141711667484863361152020945835378825069546719031255113729340533464244804450990018000327278677794141711667484863361152020945835378825069546719031255113729340533464244804451 (284 digits)
Using mpz_mod
Using lmax = 16777216 with NTT which takes about 6528MB of memory
Using B1=10000000000-10000000000, B2=10120522433628702, polynomial x^1
P = 596530935, l = 16777216, s_1 = 8294400, k = s_2 = 24, m_1 = 3
Probability of finding a factor of n digits (assuming one exists):
20     25      30      35      40      45      50      55      60      65
0.82    0.55    0.3     0.14    0.056   0.02    0.0064  0.0019  0.00052 0.00013
Step 1 took 0ms
Computing F from factored S_1 took 69529ms
Computing h took 9446ms
Computing DCT-I of h took 19434ms
Multi-point evaluation 1 of 24:
Computing g_i took 31501ms
Computing g*h took 39947ms
Computing gcd of coefficients and N took 9496ms
Step 2 took 179998ms
********** Factor found in step 2: 4637603482399831618007243367369715289369
Found prime factor of 40 digits: 4637603482399831618007243367369715289369
Composite cofactor 3881385579209355411956802012792237232818318621672249707718388850953087255713457670341472632332765032692739969273748304111358028907192394296369400965246870602751635554726565837115894776840747565252213703549756728762324361943194990753094767394779 has 244 digits
Peak memory usage: 7018MB
software ソフトウェア
GMP-ECM 7.0.6, ecm-db 0.1
execution environment 実行環境
1080 Ti for PM1 stage1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 14, 2015 09:46:31 UTC 2015 年 11 月 14 日 (土) 18 時 46 分 31 秒 (日本時間)
4511e6800 / 4305Dmitry DomanovJanuary 20, 2016 17:15:01 UTC 2016 年 1 月 21 日 (木) 2 時 15 分 1 秒 (日本時間)

11×10287+619

c282

name 名前Dmitry Domanov
date 日付November 14, 2015 16:41:44 UTC 2015 年 11 月 15 日 (日) 1 時 41 分 44 秒 (日本時間)
composite number 合成数
249763916334537422468171562380013982238152618922250536368010328419114750398430211080026856432749135533026850302180280048926480628878294357674189328768557175161023932151405069617150516137133105321583530476533658298894295142387002830733404493343678100631698356031196875498818276088579<282>
prime factors 素因数
209140652143118779522726105826971<33>
composite cofactor 合成数の残り
1194238966815592594973083221886889836188973309617990400592809422072320893760893005597867227819594484725599274384782136561370727414614076215998953315736047107579021081926264585078142905568998829505668777857356424303245266844066405302412466477247877049<250>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=767436370
Step 1 took 52738ms
Step 2 took 15844ms
********** Factor found in step 2: 209140652143118779522726105826971
Found probable prime factor of 33 digits: 209140652143118779522726105826971

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62400600Dmitry DomanovNovember 14, 2015 09:45:28 UTC 2015 年 11 月 14 日 (土) 18 時 45 分 28 秒 (日本時間)
1800ebinaNovember 2, 2021 20:37:15 UTC 2021 年 11 月 3 日 (水) 5 時 37 分 15 秒 (日本時間)

11×10288+619

c255

composite cofactor 合成数の残り
110707927900945585617116666229132945730560526798339361976371127951809074061749014421380838960316510491243826452026443844034507572008064718765426293356270535793325030403056347929243386888705055236206036771694101756863268443973046829086475482266367602384519<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovMarch 25, 2016 07:25:07 UTC 2016 年 3 月 25 日 (金) 16 時 25 分 7 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 22:59:00 UTC 2023 年 9 月 29 日 (金) 7 時 59 分 0 秒 (日本時間)

11×10289+619

c262

composite cofactor 合成数の残り
1066978513680714369075543019324622645237083134291867192482313023469065895459477325759786378240159437377250137692509782123102296860611190392027201851944663966988796392726134037771444893862022346066712912103476533625678359743006470845510318285251885158041814991443<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovMarch 25, 2016 07:25:20 UTC 2016 年 3 月 25 日 (金) 16 時 25 分 20 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 22:59:08 UTC 2023 年 9 月 29 日 (金) 7 時 59 分 8 秒 (日本時間)

11×10291+619

c225

composite cofactor 合成数の残り
788154104357770514889555497581273372544350382605155974802006541566093757667149761760231950838266124471258006807261318929472641782889525686791484329786628113291110487221460055498986966179252348832060922385212418123190774539199<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovMarch 25, 2016 07:25:31 UTC 2016 年 3 月 25 日 (金) 16 時 25 分 31 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 22:59:16 UTC 2023 年 9 月 29 日 (金) 7 時 59 分 16 秒 (日本時間)

11×10292+619

c278

composite cofactor 合成数の残り
45110803075259522308723743607049041063057046491043574816200497541613994667796607979163338671670995646959684136705909193258857984271689231491904344960422364703870994514520890691170366954312216446028164758510138476978202021930974207563896893334742202385025497534472604839987095137<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovMarch 25, 2016 07:25:41 UTC 2016 年 3 月 25 日 (金) 16 時 25 分 41 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 22:59:25 UTC 2023 年 9 月 29 日 (金) 7 時 59 分 25 秒 (日本時間)

11×10294+619

c253

composite cofactor 合成数の残り
7026484582479621711013112418033327875568579784963573156005941572860097826761122040597079596465532328219118411410005226442863219790619602291725344826295668759793766502760474251939570273065102629506702911910167032043924667158558257452706641952401658823981<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovMarch 25, 2016 07:25:52 UTC 2016 年 3 月 25 日 (金) 16 時 25 分 52 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 22:59:32 UTC 2023 年 9 月 29 日 (金) 7 時 59 分 32 秒 (日本時間)

11×10295+619

c286

name 名前Dmitry Domanov
date 日付March 25, 2016 09:39:59 UTC 2016 年 3 月 25 日 (金) 18 時 39 分 59 秒 (日本時間)
composite number 合成数
2324565084632760001220913145529184679317614302468974077310497713283050860828461013692807499780747919344857139342116671102857164595388718978470500768058271102713683985401240912067868841759316990907366948419028672110529248358347880682994958432040619378607738602131134925929182521859173881<286>
prime factors 素因数
125921604186766930221230425035059881<36>
composite cofactor 合成数の残り
18460415110221792763020806270269255400325745573187827814183601371271679664923566360549383305239237580309796626515190962555369487758955375695105564205440738963449205483844656523216609361963024589060191260030632548840707824234094588812865090065351394001<251>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=23925700
Step 1 took 31612ms
********** Factor found in step 1: 125921604186766930221230425035059881
Found probable prime factor of 36 digits: 125921604186766930221230425035059881

c251

name 名前Dmitry Domanov
date 日付October 1, 2023 18:37:00 UTC 2023 年 10 月 2 日 (月) 3 時 37 分 0 秒 (日本時間)
composite number 合成数
18460415110221792763020806270269255400325745573187827814183601371271679664923566360549383305239237580309796626515190962555369487758955375695105564205440738963449205483844656523216609361963024589060191260030632548840707824234094588812865090065351394001<251>
prime factors 素因数
499362262323498786013477563272041817609<39>
36967981970296937405056893634807713878495472063513670013750746756966671011765670847807758249841907535938705458657402028737367445709185248616119682479661882329518761198640789069059773562998875674355488746199345289<212>
factorization results 素因数分解の結果
Resuming ECM residue saved by @70e5337e1790 with GMP-ECM 7.0.5-dev on Sat Sep 30 09:49:02 2023 
Input number is 18460415110221792763020806270269255400325745573187827814183601371271679664923566360549383305239237580309796626515190962555369487758955375695105564205440738963449205483844656523216609361963024589060191260030632548840707824234094588812865090065351394001 (251 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1595364043
Step 1 took 0ms
Step 2 took 5720ms
********** Factor found in step 2: 499362262323498786013477563272041817609
Found prime factor of 39 digits: 499362262323498786013477563272041817609
Prime cofactor 36967981970296937405056893634807713878495472063513670013750746756966671011765670847807758249841907535938705458657402028737367445709185248616119682479661882329518761198640789069059773562998875674355488746199345289 has 212 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovMarch 25, 2016 07:26:10 UTC 2016 年 3 月 25 日 (金) 16 時 26 分 10 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 22:59:40 UTC 2023 年 9 月 29 日 (金) 7 時 59 分 40 秒 (日本時間)

11×10296+619

c276

name 名前Dmitry Domanov
date 日付March 25, 2016 13:02:14 UTC 2016 年 3 月 25 日 (金) 22 時 2 分 14 秒 (日本時間)
composite number 合成数
345020162208438238309899511488872557140462425258096710785107987697716381025030275261387931173592423542051064345337349049343374402289298765901733010309015672362191237254195487009143029281744775836723960087383684267298461466207321084810455600318222882899179527910456751851747607<276>
prime factors 素因数
16794075537178526110370021471173463<35>
composite cofactor 合成数の残り
20544159245004982703804213273158773940179850599186042279640032303612011892674916058613635062500974524325455882433032581959200148597755247547997341099504663338674966983884448924641754517717867245535124381646390005634905389260035304145695053889<242>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=768686616
Step 1 took 28394ms
Step 2 took 9028ms
********** Factor found in step 2: 16794075537178526110370021471173463
Found probable prime factor of 35 digits: 16794075537178526110370021471173463

c242

name 名前Dmitry Domanov
date 日付October 1, 2023 18:37:20 UTC 2023 年 10 月 2 日 (月) 3 時 37 分 20 秒 (日本時間)
composite number 合成数
20544159245004982703804213273158773940179850599186042279640032303612011892674916058613635062500974524325455882433032581959200148597755247547997341099504663338674966983884448924641754517717867245535124381646390005634905389260035304145695053889<242>
prime factors 素因数
36557500162741262074810880518391597164399<41>
composite cofactor 合成数の残り
561968382781906280345657249663400738401610522070704665327680991509955595074648075650776514427116061100372764182564214799409243140188490735198127819474050670216894259470617944093672859789433894733554511<201>
factorization results 素因数分解の結果
Resuming ECM residue saved by @70e5337e1790 with GMP-ECM 7.0.5-dev on Sat Sep 30 09:53:30 2023 
Input number is 20544159245004982703804213273158773940179850599186042279640032303612011892674916058613635062500974524325455882433032581959200148597755247547997341099504663338674966983884448924641754517717867245535124381646390005634905389260035304145695053889 (242 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:136625687
Step 1 took 0ms
Step 2 took 5631ms
********** Factor found in step 2: 36557500162741262074810880518391597164399
Found prime factor of 41 digits: 36557500162741262074810880518391597164399
Composite cofactor 561968382781906280345657249663400738401610522070704665327680991509955595074648075650776514427116061100372764182564214799409243140188490735198127819474050670216894259470617944093672859789433894733554511 has 201 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovMarch 25, 2016 07:26:21 UTC 2016 年 3 月 25 日 (金) 16 時 26 分 21 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 22:59:48 UTC 2023 年 9 月 29 日 (金) 7 時 59 分 48 秒 (日本時間)

11×10297+619

c268

composite cofactor 合成数の残り
4922225549679689495328262645394844727492380787797991877923970280537319591635953095562293152097248160649365395460270132306059060209156418554714862158934352559394781943843297922723093632193625817722571600042769095802106746327321967532146933529665274127859849423350646219<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovMarch 25, 2016 07:26:32 UTC 2016 年 3 月 25 日 (金) 16 時 26 分 32 秒 (日本時間)
1792Dmitry DomanovSeptember 28, 2023 09:06:19 UTC 2023 年 9 月 28 日 (木) 18 時 6 分 19 秒 (日本時間)

11×10300+619

c281

composite cofactor 合成数の残り
16815034105617876927643225159928079154610352535741754516607451434418993530282809505325788826063857879227225629028014088203933422067518596982377722482621351916559707664601745498407332600232194321664377046410221548421047295591747567060828365063406869249534432025566416859729397645691<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e61200Dmitry DomanovNovember 14, 2015 22:51:57 UTC 2015 年 11 月 15 日 (日) 7 時 51 分 57 秒 (日本時間)
4511e61200Dmitry DomanovNovember 16, 2015 08:12:21 UTC 2015 年 11 月 16 日 (月) 17 時 12 分 21 秒 (日本時間)
5043e6864 / 7239Dmitry DomanovNovember 17, 2015 07:31:57 UTC 2015 年 11 月 17 日 (火) 16 時 31 分 57 秒 (日本時間)