Table of contents 目次

44×10104-179

c92

name 名前Ignacio Santos
date 日付February 27, 2009 15:34:50 UTC 2009 年 2 月 28 日 (土) 0 時 34 分 50 秒 (日本時間)
composite number 合成数
60423201526636093683096215646055084505807396854920856177881774149911269616988042460035269717<92>
prime factors 素因数
5335076764314319996463585618733855222723227<43>
11325648007691200306292519178705980717619362257871<50>
factorization results 素因数分解の結果
Number: 48887_104
N=60423201526636093683096215646055084505807396854920856177881774149911269616988042460035269717
  ( 92 digits)
SNFS difficulty: 105 digits.
Divisors found:
 r1=5335076764314319996463585618733855222723227 (pp43)
 r2=11325648007691200306292519178705980717619362257871 (pp50)
Version: GGNFS-0.77.1-VC8(Sat
Total time: 0.40 hours.
Scaled time: 0.48 units (timescale=1.201).
Factorization parameters were as follows:
n: 60423201526636093683096215646055084505807396854920856177881774149911269616988042460035269717
m: 100000000000000000000000000
deg: 4
c4: 44
c0: -17
skew: 0.79
type: snfs
lss: 1
rlim: 400000
alim: 400000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 400000/400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [200000, 280001)
Primes: RFBsize:33860, AFBsize:33817, largePrimes:1146791 encountered
Relations: rels:1124713, finalFF:144310
Max relations in full relation-set: 32
Initial matrix: 67743 x 144310 with sparse part having weight 5929428.
Pruned matrix : 44033 x 44435 with weight 1341953.
Total sieving time: 0.37 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,105,4,0,0,0,0,0,0,0,0,400000,400000,25,25,44,44,2.2,2.2,20000
total time: 0.40 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10105-179

c93

name 名前Ignacio Santos
date 日付February 27, 2009 16:07:02 UTC 2009 年 2 月 28 日 (土) 1 時 7 分 2 秒 (日本時間)
composite number 合成数
981355437756202646545847788660158742199717984732887942496510975874151466019670362386934871247<93>
prime factors 素因数
2460362561262722710018034351313961<34>
398866188750874688871780951536826630692272742500588933046327<60>
factorization results 素因数分解の結果
Number: 48887_105
N=981355437756202646545847788660158742199717984732887942496510975874151466019670362386934871247
  ( 93 digits)
SNFS difficulty: 106 digits.
Divisors found:
 r1=2460362561262722710018034351313961 (pp34)
 r2=398866188750874688871780951536826630692272742500588933046327 (pp60)
Version: GGNFS-0.77.1-VC8(Sat
Total time: 0.43 hours.
Scaled time: 0.48 units (timescale=1.123).
Factorization parameters were as follows:
n: 981355437756202646545847788660158742199717984732887942496510975874151466019670362386934871247
m: 200000000000000000000000000
deg: 4
c4: 55
c0: -34
skew: 0.89
type: snfs
lss: 1
rlim: 420000
alim: 420000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 420000/420000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [210000, 290001)
Primes: RFBsize:35390, AFBsize:35562, largePrimes:1153944 encountered
Relations: rels:1133793, finalFF:148449
Max relations in full relation-set: 32
Initial matrix: 71018 x 148449 with sparse part having weight 5955462.
Pruned matrix : 45383 x 45802 with weight 1386381.
Total sieving time: 0.39 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,106,4,0,0,0,0,0,0,0,0,420000,420000,25,25,44,44,2.2,2.2,20000
total time: 0.43 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10107-179

c86

name 名前Ignacio Santos
date 日付February 27, 2009 16:12:33 UTC 2009 年 2 月 28 日 (土) 1 時 12 分 33 秒 (日本時間)
composite number 合成数
19061139880708782409319760633568622394892870084200765718273837254648507553224395363041<86>
prime factors 素因数
1684619316590834232011834229283191761<37>
11314805483343756222966792594459489946735699966481<50>
factorization results 素因数分解の結果
Fri Feb 27 16:38:55 2009  
Fri Feb 27 16:38:55 2009  
Fri Feb 27 16:38:55 2009  Msieve v. 1.39
Fri Feb 27 16:38:55 2009  random seeds: a52dbf50 a353c414
Fri Feb 27 16:38:55 2009  factoring 19061139880708782409319760633568622394892870084200765718273837254648507553224395363041 (86 digits)
Fri Feb 27 16:38:55 2009  searching for 15-digit factors
Fri Feb 27 16:38:56 2009  commencing quadratic sieve (86-digit input)
Fri Feb 27 16:38:57 2009  using multiplier of 19
Fri Feb 27 16:38:57 2009  using 32kb Intel Core sieve core
Fri Feb 27 16:38:57 2009  sieve interval: 14 blocks of size 32768
Fri Feb 27 16:38:57 2009  processing polynomials in batches of 15
Fri Feb 27 16:38:57 2009  using a sieve bound of 1446187 (55333 primes)
Fri Feb 27 16:38:57 2009  using large prime bound of 115694960 (26 bits)
Fri Feb 27 16:38:57 2009  using double large prime bound of 326562213825440 (41-49 bits)
Fri Feb 27 16:38:57 2009  using trial factoring cutoff of 49 bits
Fri Feb 27 16:38:57 2009  polynomial 'A' values have 11 factors
Fri Feb 27 17:10:54 2009  55640 relations (15993 full + 39647 combined from 576459 partial), need 55429
Fri Feb 27 17:10:55 2009  begin with 592452 relations
Fri Feb 27 17:10:55 2009  reduce to 131325 relations in 9 passes
Fri Feb 27 17:10:55 2009  attempting to read 131325 relations
Fri Feb 27 17:10:56 2009  recovered 131325 relations
Fri Feb 27 17:10:56 2009  recovered 112086 polynomials
Fri Feb 27 17:10:56 2009  attempting to build 55640 cycles
Fri Feb 27 17:10:56 2009  found 55640 cycles in 5 passes
Fri Feb 27 17:10:56 2009  distribution of cycle lengths:
Fri Feb 27 17:10:56 2009     length 1 : 15993
Fri Feb 27 17:10:56 2009     length 2 : 11214
Fri Feb 27 17:10:56 2009     length 3 : 9830
Fri Feb 27 17:10:56 2009     length 4 : 7059
Fri Feb 27 17:10:56 2009     length 5 : 4878
Fri Feb 27 17:10:56 2009     length 6 : 3028
Fri Feb 27 17:10:56 2009     length 7 : 1708
Fri Feb 27 17:10:56 2009     length 9+: 1930
Fri Feb 27 17:10:56 2009  largest cycle: 17 relations
Fri Feb 27 17:10:57 2009  matrix is 55333 x 55640 (12.7 MB) with weight 3100185 (55.72/col)
Fri Feb 27 17:10:57 2009  sparse part has weight 3100185 (55.72/col)
Fri Feb 27 17:10:57 2009  filtering completed in 3 passes
Fri Feb 27 17:10:57 2009  matrix is 50382 x 50446 (11.6 MB) with weight 2837645 (56.25/col)
Fri Feb 27 17:10:57 2009  sparse part has weight 2837645 (56.25/col)
Fri Feb 27 17:10:57 2009  saving the first 48 matrix rows for later
Fri Feb 27 17:10:57 2009  matrix is 50334 x 50446 (7.3 MB) with weight 2211621 (43.84/col)
Fri Feb 27 17:10:57 2009  sparse part has weight 1613234 (31.98/col)
Fri Feb 27 17:10:57 2009  matrix includes 64 packed rows
Fri Feb 27 17:10:57 2009  using block size 20178 for processor cache size 4096 kB
Fri Feb 27 17:10:57 2009  commencing Lanczos iteration
Fri Feb 27 17:10:57 2009  memory use: 7.2 MB
Fri Feb 27 17:11:08 2009  lanczos halted after 797 iterations (dim = 50328)
Fri Feb 27 17:11:08 2009  recovered 16 nontrivial dependencies
Fri Feb 27 17:11:08 2009  prp37 factor: 1684619316590834232011834229283191761
Fri Feb 27 17:11:08 2009  prp50 factor: 11314805483343756222966792594459489946735699966481
Fri Feb 27 17:11:08 2009  elapsed time 00:32:13
software ソフトウェア
Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10110-179

c97

name 名前Ignacio Santos
date 日付February 27, 2009 16:43:06 UTC 2009 年 2 月 28 日 (土) 1 時 43 分 6 秒 (日本時間)
composite number 合成数
1335001558012168518348363004668761307750965113758421449552209044664630372326427757870752601870203<97>
prime factors 素因数
981851775139662680653913806484673951169790561<45>
1359677287156986953147563312834625938221211913279323<52>
factorization results 素因数分解の結果
Number: 48887_110
N=1335001558012168518348363004668761307750965113758421449552209044664630372326427757870752601870203
  ( 97 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=981851775139662680653913806484673951169790561 (pp45)
 r2=1359677287156986953147563312834625938221211913279323 (pp52)
Version: GGNFS-0.77.1-VC8(Sat
Total time: 0.54 hours.
Scaled time: 0.64 units (timescale=1.191).
Factorization parameters were as follows:
n: 1335001558012168518348363004668761307750965113758421449552209044664630372326427757870752601870203
m: 10000000000000000000000
deg: 5
c5: 44
c0: -17
skew: 0.83
type: snfs
lss: 1
rlim: 510000
alim: 510000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 510000/510000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [255000, 355001)
Primes: RFBsize:42291, AFBsize:42417, largePrimes:1164161 encountered
Relations: rels:1141095, finalFF:142153
Max relations in full relation-set: 32
Initial matrix: 84776 x 142153 with sparse part having weight 5736914.
Pruned matrix : 60886 x 61373 with weight 1839283.
Total sieving time: 0.49 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,111,5,0,0,0,0,0,0,0,0,510000,510000,25,25,44,44,2.2,2.2,50000
total time: 0.54 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10114-179

c95

name 名前Ignacio Santos
date 日付February 27, 2009 17:11:26 UTC 2009 年 2 月 28 日 (土) 2 時 11 分 26 秒 (日本時間)
composite number 合成数
70691845029531284698770512690565030169046872661552376667469972646495013880968365567935989843361<95>
prime factors 素因数
26447950848946508125891246620051919927934567<44>
2672866621436084828667546678655921370908295550092983<52>
factorization results 素因数分解の結果
Number: 48887_114
N=70691845029531284698770512690565030169046872661552376667469972646495013880968365567935989843361
  ( 95 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=26447950848946508125891246620051919927934567 (pp44)
 r2=2672866621436084828667546678655921370908295550092983 (pp52)
Version: GGNFS-0.77.1-VC8(Sat
Total time: 0.77 hours.
Scaled time: 0.91 units (timescale=1.180).
Factorization parameters were as follows:
n: 70691845029531284698770512690565030169046872661552376667469972646495013880968365567935989843361
m: 100000000000000000000000
deg: 5
c5: 22
c0: -85
skew: 1.31
type: snfs
lss: 1
rlim: 610000
alim: 610000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 610000/610000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [305000, 455001)
Primes: RFBsize:49861, AFBsize:49685, largePrimes:1196972 encountered
Relations: rels:1159168, finalFF:133478
Max relations in full relation-set: 32
Initial matrix: 99612 x 133478 with sparse part having weight 5722621.
Pruned matrix : 82459 x 83021 with weight 2662959.
Total sieving time: 0.70 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,610000,610000,25,25,45,45,2.2,2.2,50000
total time: 0.77 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10118-179

c119

name 名前Robert Backstrom
date 日付February 28, 2009 05:18:56 UTC 2009 年 2 月 28 日 (土) 14 時 18 分 56 秒 (日本時間)
composite number 合成数
48888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<119>
prime factors 素因数
5119206635006373557156560747475490922102229350311527<52>
9550090936860184163762019684239003669175453223403396936392071157681<67>
factorization results 素因数分解の結果
Number: n
N=48888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
  ( 119 digits)
SNFS difficulty: 121 digits.
Divisors found:

Sat Feb 28 16:08:16 2009  prp52 factor: 5119206635006373557156560747475490922102229350311527
Sat Feb 28 16:08:16 2009  prp67 factor: 9550090936860184163762019684239003669175453223403396936392071157681
Sat Feb 28 16:08:16 2009  elapsed time 00:11:05 (Msieve 1.39 - dependency 3)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.61 hours.
Scaled time: 2.82 units (timescale=1.751).
Factorization parameters were as follows:
name: KA_4_8_117_7
n: 48888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
deg: 5
c5: 11
c0: -425
m: 1000000000000000000000000
skew: 2.08
type: snfs
rlim: 500000
alim: 500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [250000, 413089)
Primes: RFBsize:41538, AFBsize:41413, largePrimes:5166760 encountered
Relations: rels:4518399, finalFF:83995
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 274027 hash collisions in 4762437 relations
Msieve: matrix is 98251 x 98499 (25.3 MB)

Total sieving time: 1.52 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,500000,500000,28,28,56,56,2.5,2.5,50000
total time: 1.61 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10122-179

c90

name 名前10metreh
date 日付March 1, 2009 08:57:16 UTC 2009 年 3 月 1 日 (日) 17 時 57 分 16 秒 (日本時間)
composite number 合成数
125135894330376016809008922839988182095396611945786965309120924112043026937092615995084803<90>
prime factors 素因数
25055727059552303768450318768856332883833<41>
4994303060252602682538203448316349125497740032091<49>
factorization results 素因数分解の結果
02/28/09 16:06:27 v1.06 @ CORE2, starting SIQS on c90: 125135894330376016809008922839988182095396611945786965309120924112043026937092615995084803
02/28/09 16:06:27 v1.06 @ CORE2, ==== sieve params ====
02/28/09 16:06:27 v1.06 @ CORE2, n = 90 digits, 299 bits
02/28/09 16:06:27 v1.06 @ CORE2, factor base: 64055 primes (max prime = 1703573)
02/28/09 16:06:27 v1.06 @ CORE2, single large prime cutoff: 187393030 (110 * pmax)
02/28/09 16:06:27 v1.06 @ CORE2, double large prime range from 43 to 50 bits
02/28/09 16:06:27 v1.06 @ CORE2, double large prime cutoff: 777958052091382
02/28/09 16:06:27 v1.06 @ CORE2, using 10 large prime slices of factor base
02/28/09 16:06:27 v1.06 @ CORE2, buckets hold 1024 elements
02/28/09 16:06:27 v1.06 @ CORE2, sieve interval: 18 blocks of size 32768
02/28/09 16:06:27 v1.06 @ CORE2, polynomial A has ~ 12 factors
02/28/09 16:06:27 v1.06 @ CORE2, using multiplier of 7
02/28/09 16:06:27 v1.06 @ CORE2, using small prime variation correction of 20 bits
02/28/09 16:06:27 v1.06 @ CORE2, trial factoring cutoff at 98 bits
02/28/09 16:06:27 v1.06 @ CORE2, ==== sieving started ====
02/28/09 16:59:39 v1.06 @ CORE2, starting SIQS on c90: 125135894330376016809008922839988182095396611945786965309120924112043026937092615995084803
02/28/09 16:59:42 v1.06 @ CORE2, sieve time = 0.0000, relation time = 0.0000, poly_time = 0.0000
02/28/09 16:59:42 v1.06 @ CORE2, 162915 relations found: 28176 full + 134739 from 1080440 partial, using 0 polys (0 A polys)
02/28/09 16:59:42 v1.06 @ CORE2, trial division touched 0 sieve locations out of 0
02/28/09 16:59:42 v1.06 @ CORE2, ==== post processing stage (msieve-1.38) ====
02/28/09 16:59:43 v1.06 @ CORE2, begin with 1108615 relations
02/28/09 16:59:44 v1.06 @ CORE2, reduce to 367689 relations in 8 passes
02/28/09 16:59:50 v1.06 @ CORE2, recovered 367689 relations
02/28/09 16:59:50 v1.06 @ CORE2, recovered 283808 polynomials
02/28/09 16:59:50 v1.06 @ CORE2, attempting to build 162914 cycles
02/28/09 16:59:50 v1.06 @ CORE2, found 162914 cycles in 4 passes
02/28/09 16:59:50 v1.06 @ CORE2, distribution of cycle lengths:
02/28/09 16:59:50 v1.06 @ CORE2, length 1 : 28176
02/28/09 16:59:50 v1.06 @ CORE2, length 2 : 31519
02/28/09 16:59:50 v1.06 @ CORE2, length 3 : 35187
02/28/09 16:59:50 v1.06 @ CORE2, length 4 : 27750
02/28/09 16:59:50 v1.06 @ CORE2, length 5 : 18776
02/28/09 16:59:50 v1.06 @ CORE2, length 6 : 10969
02/28/09 16:59:50 v1.06 @ CORE2, length 7 : 5645
02/28/09 16:59:50 v1.06 @ CORE2, length 9+: 4892
02/28/09 16:59:50 v1.06 @ CORE2, largest cycle: 16 relations
02/28/09 16:59:51 v1.06 @ CORE2, matrix is 64055 x 162914 (42.0 MB) with weight 10348892 (63.52/col)
02/28/09 16:59:51 v1.06 @ CORE2, sparse part has weight 10348892 (63.52/col)
02/28/09 16:59:52 v1.06 @ CORE2, filtering completed in 4 passes
02/28/09 16:59:52 v1.06 @ CORE2, matrix is 50671 x 50732 (8.3 MB) with weight 1983932 (39.11/col)
02/28/09 16:59:52 v1.06 @ CORE2, sparse part has weight 1983932 (39.11/col)
02/28/09 16:59:52 v1.06 @ CORE2, saving the first 48 matrix rows for later
02/28/09 16:59:52 v1.06 @ CORE2, matrix is 50623 x 50732 (5.4 MB) with weight 1481298 (29.20/col)
02/28/09 16:59:52 v1.06 @ CORE2, sparse part has weight 1115306 (21.98/col)
02/28/09 16:59:52 v1.06 @ CORE2, matrix includes 64 packed rows
02/28/09 16:59:52 v1.06 @ CORE2, using block size 20292 for processor cache size 2048 kB
02/28/09 16:59:52 v1.06 @ CORE2, commencing Lanczos iteration
02/28/09 16:59:52 v1.06 @ CORE2, memory use: 6.0 MB
02/28/09 17:00:02 v1.06 @ CORE2, lanczos halted after 803 iterations (dim = 50620)
02/28/09 17:00:02 v1.06 @ CORE2, recovered 16 nontrivial dependencies
02/28/09 17:00:03 v1.06 @ CORE2, prp41 = 25055727059552303768450318768856332883833
02/28/09 17:00:05 v1.06 @ CORE2, prp49 = 4994303060252602682538203448316349125497740032091
02/28/09 17:00:05 v1.06 @ CORE2, Lanczos elapsed time = 20.5940 seconds.
02/28/09 17:00:05 v1.06 @ CORE2, Sqrt elapsed time = 3.0940 seconds.
02/28/09 17:00:05 v1.06 @ CORE2, Total elapsed time = 25.9070 seconds.
02/28/09 17:00:05 v1.06 @ CORE2,
02/28/09 17:00:05 v1.06 @ CORE2, 
software ソフトウェア
YAFU 1.06

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10123-179

c102

name 名前Ignacio Santos
date 日付February 27, 2009 18:35:49 UTC 2009 年 2 月 28 日 (土) 3 時 35 分 49 秒 (日本時間)
composite number 合成数
404713516621908573560883803475538757792929116276848385070404870112011575428570816498677996319826348447<102>
prime factors 素因数
145178383648848147018910389708774434246239763<45>
2787698185156916726878264114124424897244941552415044169669<58>
factorization results 素因数分解の結果
Number: 48887_123
N=404713516621908573560883803475538757792929116276848385070404870112011575428570816498677996319826348447
  ( 102 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=145178383648848147018910389708774434246239763 (pp45)
 r2=2787698185156916726878264114124424897244941552415044169669 (pp58)
Version: Msieve-1.39
Total time: 1.60 hours.
Scaled time: 1.91 units (timescale=1.196).
Factorization parameters were as follows:
n: 404713516621908573560883803475538757792929116276848385070404870112011575428570816498677996319826348447
m: 10000000000000000000000000
deg: 5
c5: 11
c0: -425
skew: 2.08
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 740001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 109885 x 110130
Total sieving time: 1.60 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,50000
total time: 1.60 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10125-179

c116

name 名前Robert Backstrom
date 日付February 28, 2009 05:09:17 UTC 2009 年 2 月 28 日 (土) 14 時 9 分 17 秒 (日本時間)
composite number 合成数
74325238096629497479463277119643411178173653499498587019630169598148762753958763910702546007032640075828840366060243<116>
prime factors 素因数
1602043501271566697868732461382414268534571<43>
46394019911217396269265065640038665422658070408067883179766258176382621433<74>
factorization results 素因数分解の結果
Number: n
N=74325238096629497479463277119643411178173653499498587019630169598148762753958763910702546007032640075828840366060243
  ( 116 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=1602043501271566697868732461382414268534571 (pp43)
 r2=46394019911217396269265065640038665422658070408067883179766258176382621433 (pp74)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.59 hours.
Scaled time: 2.91 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_4_8_124_7
n: 74325238096629497479463277119643411178173653499498587019630169598148762753958763910702546007032640075828840366060243
deg: 5
c5: 44
c0: -17
m: 10000000000000000000000000
skew: 0.83
type: snfs
rlim: 700000
alim: 700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [350000, 530001)
Primes: RFBsize:56543, AFBsize:56739, largePrimes:6408695 encountered
Relations: rels:5600306, finalFF:171999
Max relations in full relation-set: 48
Initial matrix: 113350 x 171999 with sparse part having weight 23574962.
Pruned matrix : 102616 x 103246 with weight 9631499.
Total sieving time: 1.30 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.06 hours.
Total square root time: 0.14 hours, sqrts: 7.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,700000,700000,28,28,56,56,2.5,2.5,50000
total time: 1.59 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10126-179

c117

name 名前Robert Backstrom
date 日付February 28, 2009 05:28:06 UTC 2009 年 2 月 28 日 (土) 14 時 28 分 6 秒 (日本時間)
composite number 合成数
480664527849369266189969060980799482078884937664464172800653847852361236391117647744931659139661111090766438760195819<117>
prime factors 素因数
597361534589012167168440041910515739916420567<45>
804645930508513497385460242371516277261563191572489892715193841447820557<72>
factorization results 素因数分解の結果
Number: n
N=480664527849369266189969060980799482078884937664464172800653847852361236391117647744931659139661111090766438760195819
  ( 117 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=597361534589012167168440041910515739916420567 (pp45)
 r2=804645930508513497385460242371516277261563191572489892715193841447820557 (pp72)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.93 hours.
Scaled time: 3.52 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_4_8_125_7
n: 480664527849369266189969060980799482078884937664464172800653847852361236391117647744931659139661111090766438760195819
deg: 5
c5: 440
c0: -17
m: 10000000000000000000000000
skew: 0.52
type: snfs
rlim: 700000
alim: 700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [350000, 610001)
Primes: RFBsize:56543, AFBsize:56804, largePrimes:6699266 encountered
Relations: rels:5887799, finalFF:149506
Max relations in full relation-set: 48
Initial matrix: 113414 x 149506 with sparse part having weight 22406191.
Pruned matrix : 107903 x 108534 with weight 12662178.
Total sieving time: 1.69 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.09 hours.
Total square root time: 0.04 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,127,5,0,0,0,0,0,0,0,0,700000,700000,28,28,56,56,2.5,2.5,50000
total time: 1.93 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10133-179

c94

name 名前Serge Batalov
date 日付March 1, 2009 20:15:24 UTC 2009 年 3 月 2 日 (月) 5 時 15 分 24 秒 (日本時間)
composite number 合成数
6575300385324759940584283097591155889806485826685800730459825284734913656000610932535487049263<94>
prime factors 素因数
33566362962259841077602448108183136191<38>
195889569350056287572634065511059531775558430638559368593<57>
factorization results 素因数分解の結果
SNFS difficulty: 136 digits.
Divisors found:
 r1=33566362962259841077602448108183136191 (pp38)
 r2=195889569350056287572634065511059531775558430638559368593 (pp57)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.532).
Factorization parameters were as follows:
n: 6575300385324759940584283097591155889806485826685800730459825284734913656000610932535487049263
m: 1000000000000000000000000000
c5: 11
c0: -425
skew: 2.08
type: snfs
lss: 1
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [500000, 1625001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 134734 x 134982
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:
snfs,136,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.293509] CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
software ソフトウェア
Msieve-1.39
execution environment 実行環境
Q6600/Ubuntu/x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10134-179

c98

name 名前Sinkiti Sibata
date 日付February 28, 2009 22:46:09 UTC 2009 年 3 月 1 日 (日) 7 時 46 分 9 秒 (日本時間)
composite number 合成数
12503445919658431989941459603443090426080626858741127995674854088135216176777303913162591813486139<98>
prime factors 素因数
3105462461647958049658077091153892526461<40>
4026275015098169845103596818850013238999514021557153176599<58>
factorization results 素因数分解の結果
Sat Feb 28 08:04:13 2009  Msieve v. 1.39
Sat Feb 28 08:04:13 2009  random seeds: 9dcc2490 61e55782
Sat Feb 28 08:04:13 2009  factoring 12503445919658431989941459603443090426080626858741127995674854088135216176777303913162591813486139 (98 digits)
Sat Feb 28 08:04:14 2009  searching for 15-digit factors
Sat Feb 28 08:04:15 2009  commencing quadratic sieve (98-digit input)
Sat Feb 28 08:04:15 2009  using multiplier of 35
Sat Feb 28 08:04:15 2009  using 32kb Intel Core sieve core
Sat Feb 28 08:04:15 2009  sieve interval: 36 blocks of size 32768
Sat Feb 28 08:04:15 2009  processing polynomials in batches of 6
Sat Feb 28 08:04:15 2009  using a sieve bound of 2426387 (89412 primes)
Sat Feb 28 08:04:15 2009  using large prime bound of 363958050 (28 bits)
Sat Feb 28 08:04:15 2009  using double large prime bound of 2569758932207550 (43-52 bits)
Sat Feb 28 08:04:16 2009  using trial factoring cutoff of 52 bits
Sat Feb 28 08:04:16 2009  polynomial 'A' values have 13 factors
Sat Feb 28 14:28:13 2009  89726 relations (21966 full + 67760 combined from 1333140 partial), need 89508
Sat Feb 28 14:28:14 2009  begin with 1355106 relations
Sat Feb 28 14:28:16 2009  reduce to 233233 relations in 12 passes
Sat Feb 28 14:28:16 2009  attempting to read 233233 relations
Sat Feb 28 14:28:20 2009  recovered 233233 relations
Sat Feb 28 14:28:20 2009  recovered 220850 polynomials
Sat Feb 28 14:28:20 2009  attempting to build 89726 cycles
Sat Feb 28 14:28:20 2009  found 89726 cycles in 6 passes
Sat Feb 28 14:28:20 2009  distribution of cycle lengths:
Sat Feb 28 14:28:20 2009     length 1 : 21966
Sat Feb 28 14:28:20 2009     length 2 : 15756
Sat Feb 28 14:28:20 2009     length 3 : 15335
Sat Feb 28 14:28:20 2009     length 4 : 11979
Sat Feb 28 14:28:20 2009     length 5 : 9100
Sat Feb 28 14:28:20 2009     length 6 : 6366
Sat Feb 28 14:28:20 2009     length 7 : 3889
Sat Feb 28 14:28:20 2009     length 9+: 5335
Sat Feb 28 14:28:20 2009  largest cycle: 19 relations
Sat Feb 28 14:28:21 2009  matrix is 89412 x 89726 (24.1 MB) with weight 5966964 (66.50/col)
Sat Feb 28 14:28:21 2009  sparse part has weight 5966964 (66.50/col)
Sat Feb 28 14:28:22 2009  filtering completed in 3 passes
Sat Feb 28 14:28:22 2009  matrix is 85303 x 85367 (23.1 MB) with weight 5701830 (66.79/col)
Sat Feb 28 14:28:22 2009  sparse part has weight 5701830 (66.79/col)
Sat Feb 28 14:28:23 2009  saving the first 48 matrix rows for later
Sat Feb 28 14:28:23 2009  matrix is 85255 x 85367 (13.7 MB) with weight 4447958 (52.10/col)
Sat Feb 28 14:28:23 2009  sparse part has weight 3084971 (36.14/col)
Sat Feb 28 14:28:23 2009  matrix includes 64 packed rows
Sat Feb 28 14:28:23 2009  using block size 34146 for processor cache size 1024 kB
Sat Feb 28 14:28:23 2009  commencing Lanczos iteration
Sat Feb 28 14:28:23 2009  memory use: 13.6 MB
Sat Feb 28 14:29:11 2009  lanczos halted after 1350 iterations (dim = 85253)
Sat Feb 28 14:29:11 2009  recovered 18 nontrivial dependencies
Sat Feb 28 14:29:12 2009  prp40 factor: 3105462461647958049658077091153892526461
Sat Feb 28 14:29:12 2009  prp58 factor: 4026275015098169845103596818850013238999514021557153176599
Sat Feb 28 14:29:12 2009  elapsed time 06:24:59

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10136-179

c103

name 名前Sinkiti Sibata
date 日付March 1, 2009 11:39:26 UTC 2009 年 3 月 1 日 (日) 20 時 39 分 26 秒 (日本時間)
composite number 合成数
9546869437328265947016345739376682205270945391780931469957305312715675153214382295432221052946922740621<103>
prime factors 素因数
144246135426363968879630879600082913331749818833<48>
66184576863078841433464131617341216284110059499927568637<56>
factorization results 素因数分解の結果
Sat Feb 28 18:46:57 2009  Msieve v. 1.39
Sat Feb 28 18:46:57 2009  random seeds: 53201200 d3923666
Sat Feb 28 18:46:57 2009  factoring 9546869437328265947016345739376682205270945391780931469957305312715675153214382295432221052946922740621 (103 digits)
Sat Feb 28 18:46:58 2009  searching for 15-digit factors
Sat Feb 28 18:47:00 2009  commencing quadratic sieve (103-digit input)
Sat Feb 28 18:47:00 2009  using multiplier of 1
Sat Feb 28 18:47:00 2009  using 32kb Intel Core sieve core
Sat Feb 28 18:47:00 2009  sieve interval: 36 blocks of size 32768
Sat Feb 28 18:47:00 2009  processing polynomials in batches of 6
Sat Feb 28 18:47:00 2009  using a sieve bound of 3575521 (127255 primes)
Sat Feb 28 18:47:00 2009  using large prime bound of 536328150 (28 bits)
Sat Feb 28 18:47:00 2009  using double large prime bound of 5163867185235900 (44-53 bits)
Sat Feb 28 18:47:00 2009  using trial factoring cutoff of 53 bits
Sat Feb 28 18:47:00 2009  polynomial 'A' values have 13 factors
Sun Mar 01 20:21:08 2009  127447 relations (29752 full + 97695 combined from 1921537 partial), need 127351
Sun Mar 01 20:21:10 2009  begin with 1951289 relations
Sun Mar 01 20:21:12 2009  reduce to 339333 relations in 11 passes
Sun Mar 01 20:21:12 2009  attempting to read 339333 relations
Sun Mar 01 20:21:19 2009  recovered 339333 relations
Sun Mar 01 20:21:19 2009  recovered 331700 polynomials
Sun Mar 01 20:21:20 2009  attempting to build 127447 cycles
Sun Mar 01 20:21:20 2009  found 127447 cycles in 6 passes
Sun Mar 01 20:21:20 2009  distribution of cycle lengths:
Sun Mar 01 20:21:20 2009     length 1 : 29752
Sun Mar 01 20:21:20 2009     length 2 : 21238
Sun Mar 01 20:21:20 2009     length 3 : 21332
Sun Mar 01 20:21:20 2009     length 4 : 17539
Sun Mar 01 20:21:20 2009     length 5 : 13310
Sun Mar 01 20:21:20 2009     length 6 : 9286
Sun Mar 01 20:21:20 2009     length 7 : 6125
Sun Mar 01 20:21:20 2009     length 9+: 8865
Sun Mar 01 20:21:20 2009  largest cycle: 21 relations
Sun Mar 01 20:21:21 2009  matrix is 127255 x 127447 (37.7 MB) with weight 9380272 (73.60/col)
Sun Mar 01 20:21:21 2009  sparse part has weight 9380272 (73.60/col)
Sun Mar 01 20:21:23 2009  filtering completed in 3 passes
Sun Mar 01 20:21:23 2009  matrix is 122522 x 122586 (36.5 MB) with weight 9079411 (74.07/col)
Sun Mar 01 20:21:23 2009  sparse part has weight 9079411 (74.07/col)
Sun Mar 01 20:21:23 2009  saving the first 48 matrix rows for later
Sun Mar 01 20:21:23 2009  matrix is 122474 x 122586 (26.6 MB) with weight 7676124 (62.62/col)
Sun Mar 01 20:21:23 2009  sparse part has weight 6248906 (50.98/col)
Sun Mar 01 20:21:23 2009  matrix includes 64 packed rows
Sun Mar 01 20:21:24 2009  using block size 43690 for processor cache size 1024 kB
Sun Mar 01 20:21:25 2009  commencing Lanczos iteration
Sun Mar 01 20:21:25 2009  memory use: 23.5 MB
Sun Mar 01 20:23:29 2009  lanczos halted after 1939 iterations (dim = 122472)
Sun Mar 01 20:23:30 2009  recovered 15 nontrivial dependencies
Sun Mar 01 20:23:31 2009  prp48 factor: 144246135426363968879630879600082913331749818833
Sun Mar 01 20:23:31 2009  prp56 factor: 66184576863078841433464131617341216284110059499927568637
Sun Mar 01 20:23:31 2009  elapsed time 25:36:34

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10139-179

c137

name 名前Ignacio Santos
date 日付February 28, 2009 11:14:30 UTC 2009 年 2 月 28 日 (土) 20 時 14 分 30 秒 (日本時間)
composite number 合成数
33554487912758331426828338290246320445359566842065126210630671852360253183863341721955311522916190040417905894913444673225043849614885991<137>
prime factors 素因数
247241610213621214642616779079680643653573<42>
135715375271042152313074475367181093008863209189025885597583020412222531793776330579073842334267<96>
factorization results 素因数分解の結果
Number: 48887_139
N=33554487912758331426828338290246320445359566842065126210630671852360253183863341721955311522916190040417905894913444673225043849614885991
  ( 137 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=247241610213621214642616779079680643653573 (pp42)
 r2=135715375271042152313074475367181093008863209189025885597583020412222531793776330579073842334267 (pp96)
Version: Msieve-1.39
Total time: 3.89 hours.
Scaled time: 4.63 units (timescale=1.189).
Factorization parameters were as follows:
n: 33554487912758331426828338290246320445359566842065126210630671852360253183863341721955311522916190040417905894913444673225043849614885991
m: 10000000000000000000000000000
deg: 5
c5: 22
c0: -85
skew: 1.31
type: snfs
lss: 1
rlim: 1590000
alim: 1590000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1590000/1590000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [795000, 1495001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 221252 x 221500
Total sieving time: 3.89 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1590000,1590000,26,26,48,48,2.3,2.3,100000
total time: 3.89 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10140-179

c129

name 名前Sinkiti Sibata
date 日付March 2, 2009 05:05:03 UTC 2009 年 3 月 2 日 (月) 14 時 5 分 3 秒 (日本時間)
composite number 合成数
296192772568608832293367334345646759490235757131489254311000126113016125270223391900385945493158354999363664877502236977162624379<129>
prime factors 素因数
266764282411297588607226035777225117<36>
1110316455753766733474915862488653783239958544991715616798611308282107315182967999730716957687<94>
factorization results 素因数分解の結果
Number: 48887_140
N=296192772568608832293367334345646759490235757131489254311000126113016125270223391900385945493158354999363664877502236977162624379
  ( 129 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=266764282411297588607226035777225117
 r2=1110316455753766733474915862488653783239958544991715616798611308282107315182967999730716957687
Version: 
Total time: 5.36 hours.
Scaled time: 13.75 units (timescale=2.564).
Factorization parameters were as follows:
name: 48887_140
n: 296192772568608832293367334345646759490235757131489254311000126113016125270223391900385945493158354999363664877502236977162624379
m: 10000000000000000000000000000
deg: 5
c5: 44
c0: -17
skew: 0.83
type: snfs
lss: 1
rlim: 1610000
alim: 1610000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1610000/1610000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [805000, 1505001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 205151 x 205399
Total sieving time: 5.36 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1610000,1610000,26,26,48,48,2.3,2.3,100000
total time: 5.36 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10141-179

c132

name 名前Sinkiti Sibata
date 日付March 2, 2009 13:25:27 UTC 2009 年 3 月 2 日 (月) 22 時 25 分 27 秒 (日本時間)
composite number 合成数
454965937368914015315873864169266543070866216239062087628293585488427315665265968070934706966375628047198105997623628926546177772559<132>
prime factors 素因数
24511862298614659295884030627<29>
1935713272129890223796790170669706733402120501<46>
9588740089602400047209894490431903419856559262055026071217<58>
factorization results 素因数分解の結果
Number: 48887_141
N=454965937368914015315873864169266543070866216239062087628293585488427315665265968070934706966375628047198105997623628926546177772559
  ( 132 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=24511862298614659295884030627
 r2=1935713272129890223796790170669706733402120501
 r3=9588740089602400047209894490431903419856559262055026071217
Version: 
Total time: 6.73 hours.
Scaled time: 17.25 units (timescale=2.564).
Factorization parameters were as follows:
name: 48887_141
n: 454965937368914015315873864169266543070866216239062087628293585488427315665265968070934706966375628047198105997623628926546177772559
m: 20000000000000000000000000000
deg: 5
c5: 55
c0: -68
skew: 1.04
type: snfs
lss: 1
rlim: 1710000
alim: 1710000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1710000/1710000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [855000, 1755001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 282968 x 283216
Total sieving time: 6.73 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,1710000,1710000,26,26,48,48,2.3,2.3,100000
total time: 6.73 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10144-179

c137

name 名前Sinkiti Sibata
date 日付March 1, 2009 22:05:30 UTC 2009 年 3 月 2 日 (月) 7 時 5 分 30 秒 (日本時間)
composite number 合成数
37968155129749771658867865222434327006291486395484071770848121767960255259665321775071000385374185829110426671259363744170525864289976131<137>
prime factors 素因数
5881370882122551087199960681673227889956880044401651746057<58>
6455664145439386864235246041474399945467845376843360134375006180876717813506283<79>
factorization results 素因数分解の結果
Number: 48887_144
N=37968155129749771658867865222434327006291486395484071770848121767960255259665321775071000385374185829110426671259363744170525864289976131
  ( 137 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=5881370882122551087199960681673227889956880044401651746057
 r2=6455664145439386864235246041474399945467845376843360134375006180876717813506283
Version: 
Total time: 7.87 hours.
Scaled time: 20.17 units (timescale=2.564).
Factorization parameters were as follows:
name: 48887_144
n: 37968155129749771658867865222434327006291486395484071770848121767960255259665321775071000385374185829110426671259363744170525864289976131
m: 100000000000000000000000000000
deg: 5
c5: 22
c0: -85
skew: 1.31
type: snfs
lss: 1
rlim: 1920000
alim: 1920000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1920000/1920000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [960000, 1960001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 302720 x 302968
Total sieving time: 7.87 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1920000,1920000,26,26,49,49,2.3,2.3,100000
total time: 7.87 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10146-179

c120

name 名前Serge Batalov
date 日付February 27, 2009 20:25:50 UTC 2009 年 2 月 28 日 (土) 5 時 25 分 50 秒 (日本時間)
composite number 合成数
421979987991143661107819090816132959892030372529825550733483457279318565554339819498249225270140053463047777157588071459<120>
prime factors 素因数
145977862620685020006575147046184107331<39>
2890712197147550381221784038267660221257757249803464957889274361683240563824349089<82>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=695496723
Step 1 took 13197ms
Step 2 took 11773ms
********** Factor found in step 2: 145977862620685020006575147046184107331
Found probable prime factor of 39 digits: 145977862620685020006575147046184107331
Probable prime cofactor 2890712197147550381221784038267660221257757249803464957889274361683240563824349089 has 82 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10151-179

c145

name 名前Sinkiti Sibata
date 日付March 1, 2009 05:28:39 UTC 2009 年 3 月 1 日 (日) 14 時 28 分 39 秒 (日本時間)
composite number 合成数
3303757123454112912191849656705471021045586119288473132078811156214153531284999411668433163074960830017318520097313968120680961708381218101708761<145>
prime factors 素因数
28010092649606243627127076612342517<35>
117948810979765038663230411677791182952456300022271405308145892823160288837963818959566692105287562931657362133<111>
factorization results 素因数分解の結果
Number: 48887_151
N=3303757123454112912191849656705471021045586119288473132078811156214153531284999411668433163074960830017318520097313968120680961708381218101708761
  ( 145 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=28010092649606243627127076612342517
 r2=117948810979765038663230411677791182952456300022271405308145892823160288837963818959566692105287562931657362133
Version: 
Total time: 17.12 hours.
Scaled time: 43.88 units (timescale=2.564).
Factorization parameters were as follows:
name: 48887_151
n: 3303757123454112912191849656705471021045586119288473132078811156214153531284999411668433163074960830017318520097313968120680961708381218101708761
m: 2000000000000000000000000000000
deg: 5
c5: 55
c0: -68
skew: 1.04
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 2050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 389657 x 389905
Total sieving time: 17.12 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 17.12 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10159-179

c148

name 名前Jo Yeong Uk
date 日付March 1, 2009 02:08:39 UTC 2009 年 3 月 1 日 (日) 11 時 8 分 39 秒 (日本時間)
composite number 合成数
2684673251595859366296733447750095450469216783402820386480815643103167145413834896839154922072085461200253423223343640531863431760230894225123459929<148>
prime factors 素因数
290815744390341441958304938177196752945577<42>
9231526502197941525313298896072190111031909233636542906339087491666606405324372762984243973766232005206577<106>
factorization results 素因数分解の結果
Number: 48887_159
N=2684673251595859366296733447750095450469216783402820386480815643103167145413834896839154922072085461200253423223343640531863431760230894225123459929
  ( 148 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=290815744390341441958304938177196752945577
 r2=9231526502197941525313298896072190111031909233636542906339087491666606405324372762984243973766232005206577
Version: 
Total time: 14.41 hours.
Scaled time: 34.38 units (timescale=2.385).
Factorization parameters were as follows:
n: 2684673251595859366296733447750095450469216783402820386480815643103167145413834896839154922072085461200253423223343640531863431760230894225123459929
m: 100000000000000000000000000000000
deg: 5
c5: 22
c0: -85
skew: 1.31
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 2900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9261785
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 585964 x 586212
Total sieving time: 13.00 hours.
Total relation processing time: 0.56 hours.
Matrix solve time: 0.79 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 14.41 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10160-179

c135

name 名前Jo Yeong Uk
date 日付March 1, 2009 12:54:04 UTC 2009 年 3 月 1 日 (日) 21 時 54 分 4 秒 (日本時間)
composite number 合成数
234659139649811819090670862727260288441828499203678824064334192951265228686681364538703535838427708550772283462309773126403735701971401<135>
prime factors 素因数
4076131018922486931816494926997155938069156975906851<52>
57569086606996077921238443496515686998345474130400656285165932035408929446980022051<83>
factorization results 素因数分解の結果
Number: 48887_160
N=234659139649811819090670862727260288441828499203678824064334192951265228686681364538703535838427708550772283462309773126403735701971401
  ( 135 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=4076131018922486931816494926997155938069156975906851
 r2=57569086606996077921238443496515686998345474130400656285165932035408929446980022051
Version: 
Total time: 13.39 hours.
Scaled time: 31.94 units (timescale=2.386).
Factorization parameters were as follows:
n: 234659139649811819090670862727260288441828499203678824064334192951265228686681364538703535838427708550772283462309773126403735701971401
m: 100000000000000000000000000000000
deg: 5
c5: 44
c0: -17
skew: 0.83
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 2800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9215084
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 563969 x 564217
Total sieving time: 12.02 hours.
Total relation processing time: 0.51 hours.
Matrix solve time: 0.72 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 13.39 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10162-179

c151

name 名前Ignacio Santos
date 日付March 1, 2009 14:07:38 UTC 2009 年 3 月 1 日 (日) 23 時 7 分 38 秒 (日本時間)
composite number 合成数
4567590512497384077516115001239745760937417663633887663029203124762414552467670989470663188144500170348913456350212534440575296661544690719878277391679<151>
prime factors 素因数
4990620217664536348150795739736133<34>
915235043598425178251463651557081130210364541733311841146729064706626965210952206645736477433022202095713997208394163<117>
factorization results 素因数分解の結果
Number: 48887_162
N=4567590512497384077516115001239745760937417663633887663029203124762414552467670989470663188144500170348913456350212534440575296661544690719878277391679
  ( 151 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=4990620217664536348150795739736133 (pp34)
 r2=915235043598425178251463651557081130210364541733311841146729064706626965210952206645736477433022202095713997208394163 (pp117)
Version: Msieve-1.39
Total time: 36.56 hours.
Scaled time: 93.99 units (timescale=2.571).
Factorization parameters were as follows:
n: 4567590512497384077516115001239745760937417663633887663029203124762414552467670989470663188144500170348913456350212534440575296661544690719878277391679
m: 200000000000000000000000000000000
deg: 5
c5: 275
c0: -34
skew: 0.66
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 3800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 695201 x 695449
Total sieving time: 36.56 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 36.56 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10166-179

c149

name 名前Serge Batalov
date 日付February 28, 2009 03:20:30 UTC 2009 年 2 月 28 日 (土) 12 時 20 分 30 秒 (日本時間)
composite number 合成数
29323858795426701702407511703348606635421902271587505434682382253616151655125442231496980305018658467155346462503997445170057202522706817570618960219<149>
prime factors 素因数
10130025607661052751984594948001591<35>
2894746758907489244526766490846737550788329151477578304420727802540456057343393197016694224714405763736055795654909<115>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2251914498
Step 1 took 14833ms
Step 2 took 13428ms
********** Factor found in step 2: 10130025607661052751984594948001591
Found probable prime factor of 35 digits: 10130025607661052751984594948001591
Probable prime cofactor  has 115 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10168-179

c162

name 名前Ignacio Santos
date 日付March 3, 2009 23:58:17 UTC 2009 年 3 月 4 日 (水) 8 時 58 分 17 秒 (日本時間)
composite number 合成数
120906281279433895687407867181020672745576189613869605779656584448499366331553749501491723837270466397711193534571781318644627067337002965372185489657428017119593<162>
prime factors 素因数
1715819497950141258159881096879952789398002521580423107736772458539641033<73>
70465617988301484346048053599489955072455045833762809942425229784950721301400075466556321<89>
factorization results 素因数分解の結果
Number: 48887_168
N=120906281279433895687407867181020672745576189613869605779656584448499366331553749501491723837270466397711193534571781318644627067337002965372185489657428017119593
  ( 162 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=1715819497950141258159881096879952789398002521580423107736772458539641033 (pp73)
 r2=70465617988301484346048053599489955072455045833762809942425229784950721301400075466556321 (pp89)
Version: Msieve-1.39
Total time: 51.54 hours.
Scaled time: 89.43 units (timescale=1.735).
Factorization parameters were as follows:
n: 120906281279433895687407867181020672745576189613869605779656584448499366331553749501491723837270466397711193534571781318644627067337002965372185489657428017119593
m: 10000000000000000000000000000000000
deg: 5
c5: 11
c0: -425
skew: 2.08
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 5300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 938725 x 938973
Total sieving time: 51.54 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 51.54 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10169-179

c167

name 名前Serge Batalov
date 日付March 1, 2009 18:21:55 UTC 2009 年 3 月 2 日 (月) 3 時 21 分 55 秒 (日本時間)
composite number 合成数
22212125801403402493815942248472916351153516078550153970417487000858195769599676914533797768690999040840022212125801403402493815942248472916351153516078550153970417487<167>
prime factors 素因数
9950279730184416324167097807141707833908720539115456322172137682732648571133<76>
2232311694114726941128124192221372005745626339904571066213105265608109389955468274136910139<91>
factorization results 素因数分解の結果
SNFS difficulty: 171 digits.
Divisors found:
 r1=9950279730184416324167097807141707833908720539115456322172137682732648571133 (pp76)
 r2=2232311694114726941128124192221372005745626339904571066213105265608109389955468274136910139 (pp91)
Version: Msieve-1.39
Total time: 32.00 hours.
Scaled time: 0.00 units (timescale=3.538).
Factorization parameters were as follows:
n: 22212125801403402493815942248472916351153516078550153970417487000858195769599676914533797768690999040840022212125801403402493815942248472916351153516078550153970417487
m: 10000000000000000000000000000000000
deg: 5
c5: 22
c0: -85
skew: 1.31
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 5000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 855369 x 855617
Total sieving time: 31.00 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 0.70 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 32.00 hours.
 --------- CPU info (if available) ----------
[    0.293509] CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
[    0.384446] CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
[    0.476479] CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
[    0.568475] CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
[    0.004000] Memory: 4045172k/4718592k available (3116k kernel code, 147592k reserved, 1575k data, 540k init)
[    0.004000] Calibrating delay loop (skipped), value calculated using timer frequency.. 6407.98 BogoMIPS (lpj=12815976)
[    0.004000] Calibrating delay using timer specific routine.. 6408.03 BogoMIPS (lpj=12816069)
[    0.004000] Calibrating delay using timer specific routine.. 6408.09 BogoMIPS (lpj=12816188)
[    0.004000] Calibrating delay using timer specific routine.. 6407.99 BogoMIPS (lpj=12815998)
[    0.572060] Total of 4 processors activated (25632.11 BogoMIPS).
software ソフトウェア
Msieve-1.39
execution environment 実行環境
Q6600/3.2GHz/Ubuntu-8.10/x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10170-179

c154

name 名前Serge Batalov
date 日付February 28, 2009 03:08:42 UTC 2009 年 2 月 28 日 (土) 12 時 8 分 42 秒 (日本時間)
composite number 合成数
6747778891769087994826741013458241599516645340539438233001627904811634716199612128440629662657639691566003912676968258202367361790926881961909980162838077<154>
prime factors 素因数
67204076825777480647940943101<29>
composite cofactor 合成数の残り
100407284951808774048499368281072908226415208673026207174570944509767601913362756510328274963943649362315407074660910461389377<126>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=910978272
Step 1 took 15253ms
Step 2 took 12953ms
********** Factor found in step 2: 67204076825777480647940943101
Found probable prime factor of 29 digits: 67204076825777480647940943101
Composite cofactor has 126 digits
software ソフトウェア
GMP-ECM 6.2.1

c126

name 名前Jo Yeong Uk
date 日付September 22, 2009 22:22:28 UTC 2009 年 9 月 23 日 (水) 7 時 22 分 28 秒 (日本時間)
composite number 合成数
100407284951808774048499368281072908226415208673026207174570944509767601913362756510328274963943649362315407074660910461389377<126>
prime factors 素因数
6818697425968909012852708610079174806710449887951263213393<58>
14725288230184419653350401245759339451836336800397026644804321531889<68>
factorization results 素因数分解の結果
Number: 48887_170
N=100407284951808774048499368281072908226415208673026207174570944509767601913362756510328274963943649362315407074660910461389377
  ( 126 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=6818697425968909012852708610079174806710449887951263213393
 r2=14725288230184419653350401245759339451836336800397026644804321531889
Version: 
Total time: 31.40 hours.
Scaled time: 74.92 units (timescale=2.386).
Factorization parameters were as follows:
n: 100407284951808774048499368281072908226415208673026207174570944509767601913362756510328274963943649362315407074660910461389377
m: 10000000000000000000000000000000000
deg: 5
c5: 44
c0: -17
skew: 0.83
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [3000000, 5300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10984366
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 901958 x 902206
Total sieving time: 28.01 hours.
Total relation processing time: 1.28 hours.
Matrix solve time: 1.90 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,52,52,2.4,2.4,100000
total time: 31.40 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673802)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
Calibrating delay using timer specific routine.. 5344.72 BogoMIPS (lpj=2672363)
Calibrating delay using timer specific routine.. 5535.15 BogoMIPS (lpj=2767578)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)
786Jo Yeong UkJuly 24, 2009 09:39:47 UTC 2009 年 7 月 24 日 (金) 18 時 39 分 47 秒 (日本時間)
403e62104Jo Yeong UkSeptember 17, 2009 05:05:34 UTC 2009 年 9 月 17 日 (木) 14 時 5 分 34 秒 (日本時間)

44×10172-179

c144

name 名前Wataru Sakai
date 日付June 28, 2010 13:31:08 UTC 2010 年 6 月 28 日 (月) 22 時 31 分 8 秒 (日本時間)
composite number 合成数
441149900734967936022859742700172761973122485852295138313172586025002350352921382413968097561364512705683590288930278849099614727091633149850559<144>
prime factors 素因数
2555860396693976726832179102871503914193173717<46>
21425169480191133325207613314803666491995544321<47>
8056098938351286763907220644069802866429812195710787<52>
factorization results 素因数分解の結果
Number: 48887_172
N=441149900734967936022859742700172761973122485852295138313172586025002350352921382413968097561364512705683590288930278849099614727091633149850559
  ( 144 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=2555860396693976726832179102871503914193173717
 r2=21425169480191133325207613314803666491995544321
 r3=8056098938351286763907220644069802866429812195710787
Version: 
Total time: 113.42 hours.
Scaled time: 228.54 units (timescale=2.015).
Factorization parameters were as follows:
n: 441149900734967936022859742700172761973122485852295138313172586025002350352921382413968097561364512705683590288930278849099614727091633149850559
m: 10000000000000000000000000000000000
deg: 5
c5: 4400
c0: -17
skew: 0.33
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2750000, 6350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1008805 x 1009053
Total sieving time: 113.42 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 113.42 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiAugust 21, 2009 06:19:21 UTC 2009 年 8 月 21 日 (金) 15 時 19 分 21 秒 (日本時間)

44×10174-179

c140

name 名前Markus Tervooren
date 日付November 12, 2011 15:17:50 UTC 2011 年 11 月 13 日 (日) 0 時 17 分 50 秒 (日本時間)
composite number 合成数
10165055132771869491123281413515763836553346389543424607689906409913944143734962318341675267761341825349859502567804979010875082260124530147<140>
prime factors 素因数
89842203377446951809306724408182310001303638791211<50>
113143430933747543656442268889573036594055317333547138646104663373069557608444188792647977<90>
factorization results 素因数分解の結果
~40h of sieving with 13e-siever

Msieve v. 1.50 (SVN 656M)
Sat Nov 12 15:28:34 2011
random seeds: 50799a90 868bce8a
factoring 10165055132771869491123281413515763836553346389543424607689906409913944143734962318341675267761341825349859502567804979010875082260124530147 (140 digits)
searching for 15-digit factors
commencing number field sieve (140-digit input)
R0: -20000000000000000000000000000000000
R1: 1
A0: -17
A1: 0
A2: 0
A3: 0
A4: 0
A5: 13750
skew 0.26, size 2.295e-12, alpha -0.494, combined = 1.390e-10 rroots = 1

commencing relation filtering
estimated available RAM is 16079.8 MB
commencing duplicate removal, pass 1
error -15 reading relation 1515524
error -9 reading relation 1516905
error -15 reading relation 1635524
error -9 reading relation 1637984
error -9 reading relation 3508758
error -5 reading relation 3510180
error -11 reading relation 3609697
error -15 reading relation 3611444
error -1 reading relation 5438166
error -9 reading relation 5440564
error -11 reading relation 5554719
error -11 reading relation 5556748
error -15 reading relation 5718073
error -9 reading relation 7563416
error -9 reading relation 7565712
error -15 reading relation 7713323
error -15 reading relation 7715062
error -15 reading relation 9604470
error -15 reading relation 9605873
error -15 reading relation 9700436
error -5 reading relation 9701981
read 10M relations
error -15 reading relation 11386519
error -15 reading relation 11388011
error -9 reading relation 11480683
error -5 reading relation 11482978
error -15 reading relation 13210467
error -15 reading relation 13369899
error -15 reading relation 15056042
error -9 reading relation 15209850
error -1 reading relation 16826839
error -15 reading relation 16974944
error -9 reading relation 17465055
error -5 reading relation 19085983
error -9 reading relation 19228377
error -9 reading relation 19978535
read 20M relations
error -11 reading relation 20113969
error -9 reading relation 20840021
skipped 1 relations with b > 2^32
found 2392960 hash collisions in 20970897 relations
added 694988 free relations
commencing duplicate removal, pass 2
found 1965926 duplicates and 19699959 unique relations
memory use: 98.6 MB
reading ideals above 7200
commencing singleton removal, initial pass
memory use: 376.5 MB
reading all ideals from disk
memory use: 902.1 MB
keeping 19177498 ideals with weight <= 2000, target excess is 9876
commencing in-memory singleton removal
begin with 19699958 relations and 19177498 unique ideals
reduce to 10355716 relations and 7828284 ideals in 12 passes
max relations containing the same ideal: 1164
removing 1653124 relations and 1253124 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 8702592 relations and 7828284 unique ideals
reduce to 8577253 relations and 6444583 ideals in 7 passes
max relations containing the same ideal: 999
removing 1276417 relations and 876417 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 7300836 relations and 6444583 unique ideals
reduce to 7209007 relations and 5472558 ideals in 6 passes
max relations containing the same ideal: 847
removing 1150687 relations and 750687 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 6058320 relations and 5472558 unique ideals
reduce to 5968532 relations and 4628024 ideals in 6 passes
max relations containing the same ideal: 728
removing 1067936 relations and 667936 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 4900596 relations and 4628024 unique ideals
reduce to 4782190 relations and 3834215 ideals in 7 passes
max relations containing the same ideal: 599
removing 1023151 relations and 623151 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 3759039 relations and 3834215 unique ideals
reduce to 3619256 relations and 3059846 ideals in 6 passes
max relations containing the same ideal: 476
removing 1010454 relations and 610454 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 2608802 relations and 3059846 unique ideals
reduce to 2432870 relations and 2254482 ideals in 8 passes
max relations containing the same ideal: 325
removing 524194 relations and 357263 ideals in 166931 cliques
commencing in-memory singleton removal
begin with 1908676 relations and 2254482 unique ideals
reduce to 1837317 relations and 1821358 ideals in 7 passes
max relations containing the same ideal: 257
relations with 0 large ideals: 250
relations with 1 large ideals: 4
relations with 2 large ideals: 39
relations with 3 large ideals: 464
relations with 4 large ideals: 4865
relations with 5 large ideals: 29910
relations with 6 large ideals: 140486
relations with 7+ large ideals: 1661299
commencing 2-way merge
reduce to 1240968 relation sets and 1225009 unique ideals
commencing full merge
memory use: 160.3 MB
found 642805 cycles, need 637209
weight of 637209 cycles is about 44673034 (70.11/cycle)
distribution of cycle lengths:
1 relations: 57625
2 relations: 67869
3 relations: 77832
4 relations: 77291
5 relations: 71702
6 relations: 62814
7 relations: 52655
8 relations: 42200
9 relations: 33167
10+ relations: 94054
heaviest cycle: 21 relations
commencing cycle optimization
start with 3624478 relations
pruned 112771 relations
memory use: 113.5 MB
distribution of cycle lengths:
1 relations: 57625
2 relations: 69324
3 relations: 80726
4 relations: 79851
5 relations: 74579
6 relations: 64379
7 relations: 53605
8 relations: 41987
9 relations: 32476
10+ relations: 82657
heaviest cycle: 21 relations
RelProcTime: 769

commencing linear algebra
read 637209 cycles
cycles contain 1809668 unique relations
read 1809668 relations
using 20 quadratic characters above 268434828
building initial matrix
memory use: 229.2 MB
read 637209 cycles
matrix is 637032 x 637209 (189.5 MB) with weight 57059895 (89.55/col)
sparse part has weight 42674086 (66.97/col)
filtering completed in 2 passes
matrix is 636922 x 637099 (189.5 MB) with weight 57056301 (89.56/col)
sparse part has weight 42673002 (66.98/col)
matrix starts at (0, 0)
matrix is 636922 x 637099 (189.5 MB) with weight 57056301 (89.56/col)
sparse part has weight 42673002 (66.98/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 636874 x 637099 (180.3 MB) with weight 45232898 (71.00/col)
sparse part has weight 40886184 (64.18/col)
using block size 254749 for processor cache size 6144 kB
commencing Lanczos iteration (4 threads)
memory use: 209.4 MB
linear algebra at 0.5%, ETA 0h27m637099 dimensions (0.5%, ETA 0h27m)    
linear algebra completed 636466 of 637099 dimensions (99.9%, ETA 0h 0m)    
lanczos halted after 10074 iterations (dim = 636872)
recovered 38 nontrivial dependencies
BLanczosTime: 1892

commencing square root phase
reading relations for dependency 1
read 318904 cycles
cycles contain 906300 unique relations
read 906300 relations
multiplying 906300 relations
multiply complete, coefficients have about 31.89 million bits
initial square root is modulo 1442956301
sqrtTime: 163
prp50 factor: 89842203377446951809306724408182310001303638791211
prp90 factor: 113143430933747543656442268889573036594055317333547138646104663373069557608444188792647977
elapsed time 00:47:05
software ソフトウェア
ggnfs siever, msieve 1.50
execution environment 実行環境
Linux 2.6.32-33, Gentoo
Phenom 2 X6 1090T @ 4.4ghz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6626118Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)
508Ignacio SantosMay 12, 2010 13:55:00 UTC 2010 年 5 月 12 日 (水) 22 時 55 分 0 秒 (日本時間)
403e61990190Ignacio SantosMay 12, 2010 13:55:00 UTC 2010 年 5 月 12 日 (水) 22 時 55 分 0 秒 (日本時間)
1800Wataru SakaiMay 24, 2010 00:57:30 UTC 2010 年 5 月 24 日 (月) 9 時 57 分 30 秒 (日本時間)
4511e6405555Ignacio SantosMay 12, 2010 13:55:00 UTC 2010 年 5 月 12 日 (水) 22 時 55 分 0 秒 (日本時間)
4000Wataru SakaiSeptember 6, 2011 13:08:59 UTC 2011 年 9 月 6 日 (火) 22 時 8 分 59 秒 (日本時間)

44×10176-179

c128

name 名前Serge Batalov
date 日付February 28, 2009 03:53:44 UTC 2009 年 2 月 28 日 (土) 12 時 53 分 44 秒 (日本時間)
composite number 合成数
37842136218894271319233833560015276287280138712468512530162814335577210413991174338925430176704300220642535751215176079035569453<128>
prime factors 素因数
40080386376207456114952753675681<32>
composite cofactor 合成数の残り
944155973540168858103069780436959607055778687934293351044551531753237918863965710505962721817613<96>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4011473568
Step 1 took 13833ms
Step 2 took 12244ms
********** Factor found in step 2: 40080386376207456114952753675681
Found probable prime factor of 32 digits: 40080386376207456114952753675681
Composite cofactor has 96 digits
software ソフトウェア
GMP-ECM 6.2.1

c96

name 名前Jo Yeong Uk
date 日付March 1, 2009 06:07:31 UTC 2009 年 3 月 1 日 (日) 15 時 7 分 31 秒 (日本時間)
composite number 合成数
944155973540168858103069780436959607055778687934293351044551531753237918863965710505962721817613<96>
prime factors 素因数
117784917298517583845267164230914271179<39>
8015932728867754668581789667849717412702585687637176051847<58>
factorization results 素因数分解の結果
Number: 48887_176
N=944155973540168858103069780436959607055778687934293351044551531753237918863965710505962721817613
  ( 96 digits)
Divisors found:
 r1=117784917298517583845267164230914271179
 r2=8015932728867754668581789667849717412702585687637176051847
Version: 
Total time: 2.00 hours.
Scaled time: 4.78 units (timescale=2.390).
Factorization parameters were as follows:
name: 48887_176
n: 944155973540168858103069780436959607055778687934293351044551531753237918863965710505962721817613
skew: 6105.86
# norm 3.37e+13
c5: 39060
c4: 174496312
c3: 560423064979
c2: -7334819794986332
c1: -65750106517620250884
c0: 81566268293500715958840
# alpha -6.16
Y1: 65268841
Y0: -1890872683509586427
# Murphy_E 4.98e-09
# M 840741212225823904974665603171945511566543766752601403677445864058164547642630522023787412990490
type: gnfs
rlim: 800000
alim: 800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 40000
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [400000, 800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3835605
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 138694 x 138942
Polynomial selection time: 0.10 hours.
Total sieving time: 1.55 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,95,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,800000,800000,26,26,48,48,2.5,2.5,40000
total time: 2.00 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10177-179

c173

name 名前Ignacio Santos
date 日付March 11, 2009 13:41:00 UTC 2009 年 3 月 11 日 (水) 22 時 41 分 0 秒 (日本時間)
composite number 合成数
89584389512925602200518367853863428598187544919445309748206785203102063087770305625288858755957870904822694169074247134826542225805597802739246310242956936376759366149724019<173>
prime factors 素因数
2461339886774522358152390757453165420172103<43>
36396594389213756106769747898329596555265057158903246811091893445667012912315124913287462349109779266801430409018816915629171603573<131>
factorization results 素因数分解の結果
Number: 48887_177
N=89584389512925602200518367853863428598187544919445309748206785203102063087770305625288858755957870904822694169074247134826542225805597802739246310242956936376759366149724019
  ( 173 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=2461339886774522358152390757453165420172103 (pp43)
 r2=36396594389213756106769747898329596555265057158903246811091893445667012912315124913287462349109779266801430409018816915629171603573 (pp131)
Version: Msieve-1.39
Total time: 105.06 hours.
Scaled time: 182.70 units (timescale=1.739).
Factorization parameters were as follows:
n: 89584389512925602200518367853863428598187544919445309748206785203102063087770305625288858755957870904822694169074247134826542225805597802739246310242956936376759366149724019
m: 200000000000000000000000000000000000
deg: 5
c5: 275
c0: -34
skew: 0.66
type: snfs
lss: 1
rlim: 6700000
alim: 6700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3350000, 8650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1424087 x 1424335
Total sieving time: 105.06 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6700000,6700000,28,28,53,53,2.5,2.5,100000
total time: 105.06 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10179-179

c164

name 名前Ben Meekins
date 日付December 5, 2013 05:33:23 UTC 2013 年 12 月 5 日 (木) 14 時 33 分 23 秒 (日本時間)
composite number 合成数
22813697819444091230659047110568599610752635357226010667095867093421003098885651856628096261926169957221789575728136902385652955935230844952704175919163382028269953<164>
prime factors 素因数
23018058834495670827260510652530033088695537<44>
991121709414291833894867419313434579662691997079719453299785677508008217544570331965296956820258080153735048399129146769<120>
factorization results 素因数分解の結果
Number: 48887_179
N = 22813697819444091230659047110568599610752635357226010667095867093421003098885651856628096261926169957221789575728136902385652955935230844952704175919163382028269953 (164 digits)
SNFS difficulty: 182 digits.
Divisors found:
r1=23018058834495670827260510652530033088695537 (pp44)
r2=991121709414291833894867419313434579662691997079719453299785677508008217544570331965296956820258080153735048399129146769 (pp120)
Version: Msieve v. 1.52 (SVN 945M)
Total time: 60.16 hours.
Factorization parameters were as follows:
n: 22813697819444091230659047110568599610752635357226010667095867093421003098885651856628096261926169957221789575728136902385652955935230844952704175919163382028269953
m: 1000000000000000000000000000000000000
deg: 5
c5: 22
c0: -85
skew: 1.31
# Murphy_E = 1.006e-10
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18432373
Relations: 2429730 relations
Pruned matrix : 1428524 x 1428748
Polynomial selection time: 0.00 hours.
Total sieving time: 56.58 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 3.09 hours.
time per square root: 0.33 hours.
Prototype def-par.txt line would be: snfs,182,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,400000
total time: 60.16 hours.
x86 Family 16 Model 4 Stepping 3, AuthenticAMD
Windows-XP-5.1.2600-SP3
processors: 4, speed: 3.20GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 13, 2010 11:10:24 UTC 2010 年 11 月 13 日 (土) 20 時 10 分 24 秒 (日本時間)
403e6110Ignacio SantosNovember 13, 2010 11:10:24 UTC 2010 年 11 月 13 日 (土) 20 時 10 分 24 秒 (日本時間)
4511e61482 / 443732Ignacio SantosNovember 13, 2010 11:10:24 UTC 2010 年 11 月 13 日 (土) 20 時 10 分 24 秒 (日本時間)
600Rich DickersonJune 12, 2012 23:00:10 UTC 2012 年 6 月 13 日 (水) 8 時 0 分 10 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:05:27 UTC 2013 年 11 月 9 日 (土) 2 時 5 分 27 秒 (日本時間)

44×10182-179

c119

name 名前Sinkiti Sibata
date 日付March 4, 2009 22:27:28 UTC 2009 年 3 月 5 日 (木) 7 時 27 分 28 秒 (日本時間)
composite number 合成数
24983225340469191671372170853204405349769299221541164669012057215760689735949602870419904715442180144321430758143845529<119>
prime factors 素因数
72877725369541962550839612773055856131488302427<47>
342810168865540864323295835420733036947062052146446962992986050323840027<72>
factorization results 素因数分解の結果
Number: 48887_182
N=24983225340469191671372170853204405349769299221541164669012057215760689735949602870419904715442180144321430758143845529
  ( 119 digits)
Divisors found:
 r1=72877725369541962550839612773055856131488302427 (pp47)
 r2=342810168865540864323295835420733036947062052146446962992986050323840027 (pp72)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 95.07 hours.
Scaled time: 44.88 units (timescale=0.472).
Factorization parameters were as follows:
name: 48887_182
n: 24983225340469191671372170853204405349769299221541164669012057215760689735949602870419904715442180144321430758143845529
skew: 81326.26
# norm 1.26e+16
c5: 3780
c4: -3360621385
c3: 88313684980337
c2: 12766101140945879133
c1: 404173228402249633623216
c0: 5564546065439014650337853721
# alpha -5.38
Y1: 2018118572789
Y0: -92051958728877970629458
# Murphy_E 3.33e-10
# M 2326006205974630919379109454394760739892900571011807746130185695075112583263297487941486171691873020998230039209907902
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 4230001)
Primes: RFBsize:315948, AFBsize:316780, largePrimes:7704127 encountered
Relations: rels:7813822, finalFF:775045
Max relations in full relation-set: 28
Initial matrix: 632807 x 775045 with sparse part having weight 64821840.
Pruned matrix : 515175 x 518403 with weight 40831694.
Total sieving time: 81.22 hours.
Total relation processing time: 0.83 hours.
Matrix solve time: 12.57 hours.
Time per square root: 0.46 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 95.07 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
:
Pentium 4  2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10183-179

c137

name 名前Jo Yeong Uk
date 日付June 6, 2014 01:12:32 UTC 2014 年 6 月 6 日 (金) 10 時 12 分 32 秒 (日本時間)
composite number 合成数
66150997492056190072156977221241754860992120050967628790822670087668940159166489724588429029756439501544580291594181424977951949199517543<137>
prime factors 素因数
1060007044362128809814091160540762510118469154007991022870379<61>
62406186679507680672422843988328316316218118248617195535610818827025936220917<77>
factorization results 素因数分解の結果
Number: 48887_183
N=66150997492056190072156977221241754860992120050967628790822670087668940159166489724588429029756439501544580291594181424977951949199517543
  ( 137 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=1060007044362128809814091160540762510118469154007991022870379
 r2=62406186679507680672422843988328316316218118248617195535610818827025936220917
Version: 
Total time: 72.59 hours.
Scaled time: 380.42 units (timescale=5.241).
Factorization parameters were as follows:
n: 66150997492056190072156977221241754860992120050967628790822670087668940159166489724588429029756439501544580291594181424977951949199517543
m: 2000000000000000000000000000000000000
deg: 5
c5: 1375
c0: -17
skew: 0.42
# Murphy_E = 6.142e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3700000, 7000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20364568
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1585687 x 1585935
Total sieving time: 67.55 hours.
Total relation processing time: 1.78 hours.
Matrix solve time: 3.12 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 72.59 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49374164k/51380224k available (5220k kernel code, 1085960k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.91 BogoMIPS (lpj=3399959)
Total of 12 processors activated (81599.01 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 13, 2010 11:10:47 UTC 2010 年 11 月 13 日 (土) 20 時 10 分 47 秒 (日本時間)
403e61570110Ignacio SantosNovember 13, 2010 11:10:47 UTC 2010 年 11 月 13 日 (土) 20 時 10 分 47 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2013 15:52:43 UTC 2013 年 9 月 25 日 (水) 0 時 52 分 43 秒 (日本時間)
460Ignacio SantosNovember 18, 2013 20:21:21 UTC 2013 年 11 月 19 日 (火) 5 時 21 分 21 秒 (日本時間)
4511e6792 / 411432Ignacio SantosNovember 13, 2010 11:10:47 UTC 2010 年 11 月 13 日 (土) 20 時 10 分 47 秒 (日本時間)
460Ignacio SantosNovember 18, 2013 20:21:49 UTC 2013 年 11 月 19 日 (火) 5 時 21 分 49 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:39 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 39 秒 (日本時間)

44×10184-179

c128

name 名前Sinkiti Sibata
date 日付May 15, 2010 22:05:31 UTC 2010 年 5 月 16 日 (日) 7 時 5 分 31 秒 (日本時間)
composite number 合成数
75266789839158504125018623404233585934461835467836203551740981194544411644447503788851365320051073591760081253276485126323761439<128>
prime factors 素因数
4700250836027508067189324758053013419048023280870566185427<58>
16013355981395118814198500570326848595998526128466357555432396069732357<71>
factorization results 素因数分解の結果
Number: 48887_184
N=75266789839158504125018623404233585934461835467836203551740981194544411644447503788851365320051073591760081253276485126323761439
  ( 128 digits)
Divisors found:
 r1=4700250836027508067189324758053013419048023280870566185427 (pp58)
 r2=16013355981395118814198500570326848595998526128466357555432396069732357 (pp71)
Version: Msieve-1.40
Total time: 129.63 hours.
Scaled time: 355.20 units (timescale=2.740).
Factorization parameters were as follows:
name: 48887_184
# Murphy_E = 1.015966e-10, selected by Jeff Gilchrist
n: 75266789839158504125018623404233585934461835467836203551740981194544411644447503788851365320051073591760081253276485126323761439
Y0: -4913565367541598957065259
Y1: 88087830362987
c0: 6046443097012199677447535412100
c1: 361702499625691194934744340
c2: -821650778313609498607
c3: -11453505482976008
c4: -19096139676
c5: 26280
skew: 306320.02
type: gnfs
# selected mechanically
rlim: 8600000
alim: 8600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8600000/8600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved algebraic special-q in [4300000, 8700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1268747 x 1268995
Total sieving time: 125.48 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 3.68 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
gnfs,127,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8600000,8600000,28,28,53,53,2.5,2.5,100000
total time: 129.63 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)
403e62318500Erik BrangerMarch 16, 2009 19:56:08 UTC 2009 年 3 月 17 日 (火) 4 時 56 分 8 秒 (日本時間)
1818Wataru SakaiNovember 27, 2009 08:40:37 UTC 2009 年 11 月 27 日 (金) 17 時 40 分 37 秒 (日本時間)

44×10185-179

c152

name 名前Jo Yeong Uk
date 日付November 16, 2014 08:04:26 UTC 2014 年 11 月 16 日 (日) 17 時 4 分 26 秒 (日本時間)
composite number 合成数
16178782605032436173250582340017601572196332841600508079806670319819632268101869719487864593041611177562074129462944424919523793446078536861750996590341<152>
prime factors 素因数
278416404988564236757243209210315234992530610111479<51>
58110019076271632030587081932997689237009239185940961495446375510980720379542884322976653248527236579<101>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 16178782605032436173250582340017601572196332841600508079806670319819632268101869719487864593041611177562074129462944424919523793446078536861750996590341 (152 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=8436738494
Step 1 took 96764ms
Step 2 took 27231ms
********** Factor found in step 2: 278416404988564236757243209210315234992530610111479
Found probable prime factor of 51 digits: 278416404988564236757243209210315234992530610111479
Probable prime cofactor 58110019076271632030587081932997689237009239185940961495446375510980720379542884322976653248527236579 has 101 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 13, 2010 11:11:12 UTC 2010 年 11 月 13 日 (土) 20 時 11 分 12 秒 (日本時間)
403e61410110Ignacio SantosNovember 13, 2010 11:11:12 UTC 2010 年 11 月 13 日 (土) 20 時 11 分 12 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2013 15:52:51 UTC 2013 年 9 月 25 日 (水) 0 時 52 分 51 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:53 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 53 秒 (日本時間)
4511e6562 / 414932Ignacio SantosNovember 13, 2010 11:11:12 UTC 2010 年 11 月 13 日 (土) 20 時 11 分 12 秒 (日本時間)
230Ignacio SantosFebruary 6, 2014 17:41:42 UTC 2014 年 2 月 7 日 (金) 2 時 41 分 42 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:39 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 39 秒 (日本時間)

44×10187-179

c181

name 名前Ignacio Santos
date 日付July 18, 2010 10:52:30 UTC 2010 年 7 月 18 日 (日) 19 時 52 分 30 秒 (日本時間)
composite number 合成数
2624313162820613457417062593513149959093220357128821753709557611955421245593621635486635366125712819370785490986059845302584112860209869782952660903543745454458483505926358182113699<181>
prime factors 素因数
52485092421874341777132417771128766870059<41>
3901608144481736239668632838352437730638229670842523<52>
12815514409860216372612723506726239759853966664143416181651288553215057191651673167628107<89>
factorization results 素因数分解の結果
Number: 8
N=2624313162820613457417062593513149959093220357128821753709557611955421245593621635486635366125712819370785490986059845302584112860209869782952660903543745454458483505926358182113699
  ( 181 digits)
SNFS difficulty: 188 digits.
Divisors found:
 r1=52485092421874341777132417771128766870059 (pp41)
 r2=3901608144481736239668632838352437730638229670842523 (pp52)
 r3=12815514409860216372612723506726239759853966664143416181651288553215057191651673167628107 (pp89)
Version: Msieve-1.40
Total time: 283.61 hours.
Scaled time: 493.20 units (timescale=1.739).
Factorization parameters were as follows:
n: 2624313162820613457417062593513149959093220357128821753709557611955421245593621635486635366125712819370785490986059845302584112860209869782952660903543745454458483505926358182113699
m: 10000000000000000000000000000000000000
deg: 5
c5: 4400
c0: -17
skew: 0.33
type: snfs
lss: 1
rlim: 9800000
alim: 9800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9800000/9800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4900000, 9400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2022613 x 2022838
Total sieving time: 274.81 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 6.58 hours.
Time per square root: 1.95 hours.
Prototype def-par.txt line would be:
snfs,188.000,5,0,0,0,0,0,0,0,0,9800000,9800000,28,28,54,54,2.5,2.5,100000
total time: 283.61 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
351e6118Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61818Wataru SakaiJune 30, 2010 06:31:47 UTC 2010 年 6 月 30 日 (水) 15 時 31 分 47 秒 (日本時間)
4511e6145 / 4073Dmitry DomanovJune 19, 2010 06:22:24 UTC 2010 年 6 月 19 日 (土) 15 時 22 分 24 秒 (日本時間)

44×10189-179

c184

name 名前Robert Backstrom
date 日付March 8, 2010 23:43:53 UTC 2010 年 3 月 9 日 (火) 8 時 43 分 53 秒 (日本時間)
composite number 合成数
5543391590599365357254579880839758313166096768215301297821358914573689879240993783968234350407105418551892255617376970407989841482937881635738951107160184741083927074667846905130774277<184>
prime factors 素因数
2244728214883685333955614723717924441414688943415258644243<58>
2469515709672053216614666135570999997509107511997745299307682801501392554567929265742991563181482301269868898329719532096021639<127>
factorization results 素因数分解の結果
Number: n
N=5543391590599365357254579880839758313166096768215301297821358914573689879240993783968234350407105418551892255617376970407989841482937881635738951107160184741083927074667846905130774277
  ( 184 digits)
SNFS difficulty: 190 digits.
Divisors found:

Tue Mar  9 08:37:01 2010  prp58 factor: 2244728214883685333955614723717924441414688943415258644243
Tue Mar  9 08:37:01 2010  prp127 factor: 2469515709672053216614666135570999997509107511997745299307682801501392554567929265742991563181482301269868898329719532096021639
Tue Mar  9 08:37:01 2010  elapsed time 04:33:01 (Msieve 1.42 - dependency 1)

Version: 
Total time: 10.15 hours.
Scaled time: 8.54 units (timescale=0.841).
Factorization parameters were as follows:
name: KA_4_8_188_7
n: 5543391590599365357254579880839758313166096768215301297821358914573689879240993783968234350407105418551892255617376970407989841482937881635738951107160184741083927074667846905130774277
m: 20000000000000000000000000000000000000
deg: 5
c5: 13750
c0: -17
skew: 0.26
type: snfs
lss: 1
rlim: 10500000
alim: 10500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 10500000/10500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 8095357)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3727902 hash collisions in 30482384 relations
Msieve: matrix is 1338843 x 1339069 (359.2 MB)

Total sieving time: 10.15 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,190,5,0,0,0,0,0,0,0,0,10500000,10500000,28,28,56,56,2.5,2.5,100000
total time: 10.15 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)
786Wataru SakaiJuly 31, 2009 11:11:39 UTC 2009 年 7 月 31 日 (金) 20 時 11 分 39 秒 (日本時間)

44×10190-179

c173

composite cofactor 合成数の残り
37058400750092800166658558011380302478080265432576176982474637677808913715295860231322434619618676898246546097633904801284045275630975929197414914109695351449521697956324959<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 13, 2010 11:11:36 UTC 2010 年 11 月 13 日 (土) 20 時 11 分 36 秒 (日本時間)
403e61410110Ignacio SantosNovember 13, 2010 11:11:36 UTC 2010 年 11 月 13 日 (土) 20 時 11 分 36 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2013 15:53:01 UTC 2013 年 9 月 25 日 (水) 0 時 53 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:53 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 53 秒 (日本時間)
4511e61332 / 414932Ignacio SantosNovember 13, 2010 11:11:36 UTC 2010 年 11 月 13 日 (土) 20 時 11 分 36 秒 (日本時間)
1000Rich DickersonApril 21, 2014 00:37:54 UTC 2014 年 4 月 21 日 (月) 9 時 37 分 54 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:40 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 40 秒 (日本時間)

44×10191-179

c88

name 名前Ignacio Santos
date 日付February 27, 2009 17:33:45 UTC 2009 年 2 月 28 日 (土) 2 時 33 分 45 秒 (日本時間)
composite number 合成数
2414557982731759402829396316481997213725995106766293870774234544362028453002350273844531<88>
prime factors 素因数
144550996278661975016517134044638733<36>
16703848779271170927251535893830201636903983700639807<53>
factorization results 素因数分解の結果
Fri Feb 27 17:57:37 2009  
Fri Feb 27 17:57:37 2009  
Fri Feb 27 17:57:37 2009  Msieve v. 1.39
Fri Feb 27 17:57:37 2009  random seeds: 358661f0 a7325abd
Fri Feb 27 17:57:37 2009  factoring 2414557982731759402829396316481997213725995106766293870774234544362028453002350273844531 (88 digits)
Fri Feb 27 17:57:37 2009  searching for 15-digit factors
Fri Feb 27 17:57:39 2009  commencing quadratic sieve (88-digit input)
Fri Feb 27 17:57:39 2009  using multiplier of 1
Fri Feb 27 17:57:39 2009  using 32kb Intel Core sieve core
Fri Feb 27 17:57:39 2009  sieve interval: 25 blocks of size 32768
Fri Feb 27 17:57:39 2009  processing polynomials in batches of 9
Fri Feb 27 17:57:39 2009  using a sieve bound of 1517671 (57486 primes)
Fri Feb 27 17:57:39 2009  using large prime bound of 121413680 (26 bits)
Fri Feb 27 17:57:39 2009  using double large prime bound of 356189977465520 (42-49 bits)
Fri Feb 27 17:57:39 2009  using trial factoring cutoff of 49 bits
Fri Feb 27 17:57:39 2009  polynomial 'A' values have 11 factors
Fri Feb 27 18:32:02 2009  57591 relations (16453 full + 41138 combined from 603248 partial), need 57582
Fri Feb 27 18:32:02 2009  begin with 619701 relations
Fri Feb 27 18:32:03 2009  reduce to 136773 relations in 9 passes
Fri Feb 27 18:32:03 2009  attempting to read 136773 relations
Fri Feb 27 18:32:04 2009  recovered 136773 relations
Fri Feb 27 18:32:04 2009  recovered 109875 polynomials
Fri Feb 27 18:32:04 2009  attempting to build 57591 cycles
Fri Feb 27 18:32:04 2009  found 57591 cycles in 5 passes
Fri Feb 27 18:32:04 2009  distribution of cycle lengths:
Fri Feb 27 18:32:04 2009     length 1 : 16453
Fri Feb 27 18:32:04 2009     length 2 : 11427
Fri Feb 27 18:32:04 2009     length 3 : 10253
Fri Feb 27 18:32:04 2009     length 4 : 7428
Fri Feb 27 18:32:04 2009     length 5 : 5066
Fri Feb 27 18:32:04 2009     length 6 : 3145
Fri Feb 27 18:32:04 2009     length 7 : 1772
Fri Feb 27 18:32:04 2009     length 9+: 2047
Fri Feb 27 18:32:04 2009  largest cycle: 16 relations
Fri Feb 27 18:32:04 2009  matrix is 57486 x 57591 (13.1 MB) with weight 3193032 (55.44/col)
Fri Feb 27 18:32:04 2009  sparse part has weight 3193032 (55.44/col)
Fri Feb 27 18:32:05 2009  filtering completed in 3 passes
Fri Feb 27 18:32:05 2009  matrix is 52712 x 52775 (12.1 MB) with weight 2967477 (56.23/col)
Fri Feb 27 18:32:05 2009  sparse part has weight 2967477 (56.23/col)
Fri Feb 27 18:32:05 2009  saving the first 48 matrix rows for later
Fri Feb 27 18:32:05 2009  matrix is 52664 x 52775 (7.4 MB) with weight 2253771 (42.71/col)
Fri Feb 27 18:32:05 2009  sparse part has weight 1629875 (30.88/col)
Fri Feb 27 18:32:05 2009  matrix includes 64 packed rows
Fri Feb 27 18:32:05 2009  using block size 21110 for processor cache size 4096 kB
Fri Feb 27 18:32:05 2009  commencing Lanczos iteration
Fri Feb 27 18:32:05 2009  memory use: 7.5 MB
Fri Feb 27 18:32:16 2009  lanczos halted after 834 iterations (dim = 52660)
Fri Feb 27 18:32:16 2009  recovered 14 nontrivial dependencies
Fri Feb 27 18:32:17 2009  prp36 factor: 144550996278661975016517134044638733
Fri Feb 27 18:32:17 2009  prp53 factor: 16703848779271170927251535893830201636903983700639807
Fri Feb 27 18:32:17 2009  elapsed time 00:34:40
software ソフトウェア
Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10194-179

c165

name 名前Ignacio Santos
date 日付November 13, 2010 11:12:23 UTC 2010 年 11 月 13 日 (土) 20 時 12 分 23 秒 (日本時間)
composite number 合成数
126468660485062417173686932358904177243972622474301713085688011284314769866318889141503008458764576395423657521323872358791837144543627394138898649656129438074132631<165>
prime factors 素因数
3444742518971007486083168139082691<34>
36713530775832954127867373448046262616975823880900214089895234486665700893743095556876520841556847067217533011161860486056880285341<131>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4080903698
Step 1 took 22791ms
Step 2 took 12590ms
********** Factor found in step 2: 3444742518971007486083168139082691
Found probable prime factor of 34 digits: 3444742518971007486083168139082691
Probable prime cofactor 36713530775832954127867373448046262616975823880900214089895234486665700893743095556876520841556847067217533011161860486056880285341 has 131 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 KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10196-179

c192

name 名前Robert Backstrom
date 日付March 15, 2010 14:38:41 UTC 2010 年 3 月 15 日 (月) 23 時 38 分 41 秒 (日本時間)
composite number 合成数
169330348501099300319303159434913839715740525870790938209431623443171003255375949933634048638603240136218568535111609865955787076322960694962537584602637474114585077147291618801980087520699673<192>
prime factors 素因数
105149691411338559376747051764059783465183522594344829271383052565224570638125641454211525549<93>
1610374183968741319725765793148951284134066869316487895925995847840650812665248584444074428227947677<100>
factorization results 素因数分解の結果
Number: n
N=169330348501099300319303159434913839715740525870790938209431623443171003255375949933634048638603240136218568535111609865955787076322960694962537584602637474114585077147291618801980087520699673
  ( 192 digits)
SNFS difficulty: 197 digits.
Divisors found:

Tue Mar 16 01:31:20 2010  prp93 factor: 105149691411338559376747051764059783465183522594344829271383052565224570638125641454211525549
Tue Mar 16 01:31:20 2010  prp100 factor: 1610374183968741319725765793148951284134066869316487895925995847840650812665248584444074428227947677
Tue Mar 16 01:31:20 2010  elapsed time 08:28:21 (Msieve 1.42 - dependency 6)

Version: 
Total time: 22.06 hours.
Scaled time: 18.57 units (timescale=0.842).
Factorization parameters were as follows:
name: KA_4_8_195_7
n: 169330348501099300319303159434913839715740525870790938209431623443171003255375949933634048638603240136218568535111609865955787076322960694962537584602637474114585077147291618801980087520699673
m: 1000000000000000000000000000000000000000
deg: 5
c5: 440
c0: -17
skew: 0.52
type: snfs
lss: 1
rlim: 13800000
alim: 13800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 13800000/13800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 13713701)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5275461 hash collisions in 35084943 relations
Msieve: matrix is 1703835 x 1704059 (454.8 MB)

Total sieving time: 22.06 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,197,5,0,0,0,0,0,0,0,0,13800000,13800000,28,28,56,56,2.5,2.5,100000
total time: 22.06 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
351e6118Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiSeptember 18, 2009 09:19:15 UTC 2009 年 9 月 18 日 (金) 18 時 19 分 15 秒 (日本時間)
4511e60--
5043e61140 / 7465yoyo@homeJanuary 29, 2010 09:10:30 UTC 2010 年 1 月 29 日 (金) 18 時 10 分 30 秒 (日本時間)

44×10197-179

c193

name 名前Serge Batalov
date 日付February 28, 2009 01:57:25 UTC 2009 年 2 月 28 日 (土) 10 時 57 分 25 秒 (日本時間)
composite number 合成数
9073830043038825681413702720705449041164254883885908960613390910909424616063566303919688355182703630150687445737465225577477104045897082144970932810350765398186471331852649249037452233502642753<193>
prime factors 素因数
180192366370524429277382033171<30>
50356350969832803448648096347995128791247155483945461392799207399795166974995809400922218508687516833945192101225665458371976955557885982556232271977569349459988443<164>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4228587319
Step 1 took 26145ms
Step 2 took 18697ms
********** Factor found in step 2: 180192366370524429277382033171
Found probable prime factor of 30 digits: 180192366370524429277382033171
Probable prime cofactor  has 164 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10198-179

c165

composite cofactor 合成数の残り
301367811513023915671928376433827293937023608941167329248988123203903411953405012934762931011104427602256692735279213495242946954853916026708052885062131538434291647<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 13, 2010 11:59:41 UTC 2010 年 11 月 13 日 (土) 20 時 59 分 41 秒 (日本時間)
403e62710110Ignacio SantosNovember 13, 2010 11:59:41 UTC 2010 年 11 月 13 日 (土) 20 時 59 分 41 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2013 15:53:11 UTC 2013 年 9 月 25 日 (水) 0 時 53 分 11 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:55 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 55 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:34 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 34 秒 (日本時間)
4511e632 / 3862Ignacio SantosNovember 13, 2010 11:59:41 UTC 2010 年 11 月 13 日 (土) 20 時 59 分 41 秒 (日本時間)

44×10199-179

c196

name 名前Robert Backstrom
date 日付April 19, 2010 00:23:51 UTC 2010 年 4 月 19 日 (月) 9 時 23 分 51 秒 (日本時間)
composite number 合成数
9115959143928564029253941616425300930242194459983011167049951312490935836078480120993639546688213479188679636190357801396399196138148217208444693061512006132554333188306710589015269231566080344749<196>
prime factors 素因数
24778744325481410201517640016791635885937988859277211393699913809456767<71>
367894313940440400159085958142494292604690084378733759359415953028350513271212520105425567011563704062104140018394659090600147<126>
factorization results 素因数分解の結果
Number: n
N=9115959143928564029253941616425300930242194459983011167049951312490935836078480120993639546688213479188679636190357801396399196138148217208444693061512006132554333188306710589015269231566080344749
  ( 196 digits)
SNFS difficulty: 200 digits.
Divisors found:

Mon Apr 19 08:54:42 2010  prp71 factor: 24778744325481410201517640016791635885937988859277211393699913809456767
Mon Apr 19 08:54:42 2010  prp126 factor: 367894313940440400159085958142494292604690084378733759359415953028350513271212520105425567011563704062104140018394659090600147
Mon Apr 19 08:54:42 2010  elapsed time 06:02:57 (Msieve 1.42 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.072).
Factorization parameters were as follows:
name: KA_4_8_198_7
n: 9115959143928564029253941616425300930242194459983011167049951312490935836078480120993639546688213479188679636190357801396399196138148217208444693061512006132554333188306710589015269231566080344749
m: 2000000000000000000000000000000000000000
deg: 5
c5: 13750
c0: -17
skew: 0.26
type: snfs
lss: 1
rlim: 15500000
alim: 15500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15500000/15500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 17350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4868168 hash collisions in 32368740 relations
Msieve: matrix is 1999458 x 1999683 (566.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15500000,15500000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)
786Wataru SakaiAugust 12, 2009 05:25:11 UTC 2009 年 8 月 12 日 (水) 14 時 25 分 11 秒 (日本時間)
403e60--
4511e6758 / 4439Dmitry DomanovMarch 27, 2010 09:56:57 UTC 2010 年 3 月 27 日 (土) 18 時 56 分 57 秒 (日本時間)

44×10200-179

c187

name 名前matsui
date 日付December 8, 2010 19:40:26 UTC 2010 年 12 月 9 日 (木) 4 時 40 分 26 秒 (日本時間)
composite number 合成数
1922432990103892046243080115170895969419424014087811470135883302904370165560871353905054415260255728339849932766028407053263678828873432145745544346435903789732483791537946126686044414913<187>
prime factors 素因数
747817613285356875289915830009329659922271866761759<51>
2570724406527608975110938336200424138822801189063526681721561255065314130235521895659846095539046552819792284932539687206338155766181407<136>
factorization results 素因数分解の結果
N=1922432990103892046243080115170895969419424014087811470135883302904370165560871353905054415260255728339849932766028407053263678828873432145745544346435903789732483791537946126686044414913
  ( 187 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=747817613285356875289915830009329659922271866761759 (pp51)
 r2=2570724406527608975110938336200424138822801189063526681721561255065314130235521895659846095539046552819792284932539687206338155766181407 (pp136)
Version: Msieve v. 1.48
Total time:
Scaled time: 73.27 units (timescale=0.677).
Factorization parameters were as follows:
n: 1922432990103892046243080115170895969419424014087811470135883302904370165560871353905054415260255728339849932766028407053263678828873432145745544346435903789732483791537946126686044414913
m: 10000000000000000000000000000000000000000
deg: 5
c5: 44
c0: -17
skew: 0.83
type: snfs
lss: 1
rlim: 16100000
alim: 16100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 16100000/16100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8050000, 15730001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2915379 x 2915613
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,201.000,5,0,0,0,0,0,0,0,0,16100000,16100000,29,29,56,56,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 13, 2010 13:01:17 UTC 2010 年 11 月 13 日 (土) 22 時 1 分 17 秒 (日本時間)
403e6110 / 2126Ignacio SantosNovember 13, 2010 13:01:17 UTC 2010 年 11 月 13 日 (土) 22 時 1 分 17 秒 (日本時間)
4511e632 / 4437Ignacio SantosNovember 13, 2010 13:01:17 UTC 2010 年 11 月 13 日 (土) 22 時 1 分 17 秒 (日本時間)

44×10201-179

c164

composite cofactor 合成数の残り
74499516730307746802580016953611510960835223632446300656748093693740043340058822257555430506576186164049263908676102298511357487139005960860083980927684908188546799<164>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 13, 2010 14:18:07 UTC 2010 年 11 月 13 日 (土) 23 時 18 分 7 秒 (日本時間)
403e62710110Ignacio SantosNovember 13, 2010 14:18:07 UTC 2010 年 11 月 13 日 (土) 23 時 18 分 7 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2013 15:53:20 UTC 2013 年 9 月 25 日 (水) 0 時 53 分 20 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:56 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 56 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:34 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 34 秒 (日本時間)
4511e632 / 3862Ignacio SantosNovember 13, 2010 14:18:07 UTC 2010 年 11 月 13 日 (土) 23 時 18 分 7 秒 (日本時間)

44×10202-179

c202

name 名前Robert Backstrom
date 日付March 9, 2009 21:32:08 UTC 2009 年 3 月 10 日 (火) 6 時 32 分 8 秒 (日本時間)
composite number 合成数
2573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573<202>
prime factors 素因数
2891584018994382557518753539240993661489392732788328409241<58>
889858084116654916807069578355138652152689469299026049021329528371839912902115848416237708291106981386858036660316985335361448495359121966080853<144>
factorization results 素因数分解の結果
Number: n
N=2573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573
  ( 202 digits)
SNFS difficulty: 203 digits.
Divisors found:

Tue Mar 10 07:53:12 2009  prp58 factor: 2891584018994382557518753539240993661489392732788328409241
Tue Mar 10 07:53:12 2009  prp144 factor: 889858084116654916807069578355138652152689469299026049021329528371839912902115848416237708291106981386858036660316985335361448495359121966080853
Tue Mar 10 07:53:12 2009  elapsed time 17:11:08 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20050930-k8
Total time: 85.73 hours.
Scaled time: 172.75 units (timescale=2.015).
Factorization parameters were as follows:
name: KA_4_8_201_7
n: 2573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573
deg: 5
c5: 275
c0: -34
m: 20000000000000000000000000000000000000000
skew: 0.66
type: snfs
rlim: 12000000
alim: 12000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [6000000, 25599990)
Primes: RFBsize:788060, AFBsize:788250, largePrimes:33189330 encountered
Relations: rels:25821250, finalFF:119729
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6931779 hash collisions in 42735830 relations
Msieve: matrix is 3220003 x 3220251 (873.3 MB)

Total sieving time: 85.01 hours.
Total relation processing time: 0.72 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,12000000,12000000,29,29,58,58,2.5,2.5,100000
total time: 85.73 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 3368976k/3407296k available (2745k kernel code, 36940k reserved, 1424k data, 412k init, 2489792k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.99 BogoMIPS (lpj=2830498)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830454)
Total of 4 processors activated (22643.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)

44×10203-179

c201

name 名前RSALS + Lionel Debroux
date 日付December 17, 2009 07:05:40 UTC 2009 年 12 月 17 日 (木) 16 時 5 分 40 秒 (日本時間)
composite number 合成数
428474048105949946440743986756256694907001655467913136624793066510857921900866686142759762391664232155029701041970980621287369753627422339078780796572207615152400428474048105949946440743986756256694907<201>
prime factors 素因数
25630033563617031385847435547249273144166992113<47>
4318542942595009757820233830306013464597471777655328897723327414407359<70>
3871133112888410851242347512433614554822820895229540799493946065464240230365835632021<85>
factorization results 素因数分解の結果
Msieve v. 1.44
Wed Dec 16 08:27:43 2009
random seeds: b663c5c9 2a7cea5e
factoring 428474048105949946440743986756256694907001655467913136624793066510857921900866686142759762391664232155029701041970980621287369753627422339078780796572207615152400428474048105949946440743986756256694907 (201 digits)
searching for 15-digit factors
commencing number field sieve (201-digit input)
R0: -100000000000000000000000000000000000000000
R1:  1
A0: -425
A1:  0
A2:  0
A3:  0
A4:  0
A5:  11
skew 2.08, size 2.533068e-14, alpha 0.591541, combined = 8.538608e-12

commencing linear algebra
read 2577934 cycles
cycles contain 7049519 unique relations
read 7049519 relations
using 20 quadratic characters above 536869920
building initial matrix
memory use: 942.8 MB
read 2577934 cycles
matrix is 2577640 x 2577934 (760.6 MB) with weight 223821725 (86.82/col)
sparse part has weight 171040876 (66.35/col)
filtering completed in 3 passes
matrix is 2573115 x 2573315 (759.9 MB) with weight 223594494 (86.89/col)
sparse part has weight 170906338 (66.41/col)
read 2573315 cycles
matrix is 2573115 x 2573315 (759.9 MB) with weight 223594494 (86.89/col)
sparse part has weight 170906338 (66.41/col)
saving the first 48 matrix rows for later
matrix is 2573067 x 2573315 (719.2 MB) with weight 176770577 (68.69/col)
sparse part has weight 162792089 (63.26/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (2 threads)
memory use: 735.8 MB
linear algebra at 0.0%, ETA 22h41m73315 dimensions (0.0%, ETA 22h41m)
linear algebra completed 2573030 of 2573315 dimensions (100.0%, ETA 0h 0m)
lanczos halted after 40690 iterations (dim = 2573066)
recovered 37 nontrivial dependencies
BLanczosTime: 80905

commencing square root phase
reading relations for dependency 1
read 1286702 cycles
cycles contain 3522180 unique relations
read 3522180 relations
multiplying 3522180 relations
multiply complete, coefficients have about 98.19 million bits
initial square root is modulo 11164921
reading relations for dependency 2
read 1286513 cycles
cycles contain 3523688 unique relations
read 3523688 relations
multiplying 3523688 relations
multiply complete, coefficients have about 98.23 million bits
initial square root is modulo 11235751
sqrtTime: 3833
prp47 factor: 25630033563617031385847435547249273144166992113
prp70 factor: 4318542942595009757820233830306013464597471777655328897723327414407359
prp85 factor: 3871133112888410851242347512433614554822820895229540799493946065464240230365835632021
elapsed time 23:32:21
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61318118Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)
1200Dmitry DomanovJuly 2, 2009 20:34:10 UTC 2009 年 7 月 3 日 (金) 5 時 34 分 10 秒 (日本時間)
403e62500Dmitry DomanovJuly 2, 2009 20:34:10 UTC 2009 年 7 月 3 日 (金) 5 時 34 分 10 秒 (日本時間)

44×10205-179

c180

name 名前Dmitry Domanov
date 日付September 18, 2013 09:43:17 UTC 2013 年 9 月 18 日 (水) 18 時 43 分 17 秒 (日本時間)
composite number 合成数
906331394621628961842616299423030817490199350200672802848713724556975584110686232132206096747634740499473950944084385611977232201311282212122110956024603372870624030796858041035751<180>
prime factors 素因数
12604891681917795927332092526677577231<38>
composite cofactor 合成数の残り
71903148197758522671144375590041330856303828302651435639579062252205026794315439837104206519478408338529521305204760025678678436761297732426921<143>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=541071858
Step 1 took 22835ms
Step 2 took 8906ms
********** Factor found in step 2: 12604891681917795927332092526677577231
Found probable prime factor of 38 digits: 12604891681917795927332092526677577231

c143

name 名前Serge Batalov
date 日付November 8, 2013 02:04:55 UTC 2013 年 11 月 8 日 (金) 11 時 4 分 55 秒 (日本時間)
composite number 合成数
71903148197758522671144375590041330856303828302651435639579062252205026794315439837104206519478408338529521305204760025678678436761297732426921<143>
prime factors 素因数
530625969090452092461222703609849709752151<42>
135506274449793648538026643120498976032163758849090376215642984321553201313089219998865491113277494271<102>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3075571579
Step 1 took 40131ms
Step 2 took 15669ms
********** Factor found in step 2: 530625969090452092461222703609849709752151
Found probable prime factor of 42 digits: 530625969090452092461222703609849709752151
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 27, 2009 14:00:00 UTC 2009 年 2 月 27 日 (金) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 13, 2010 15:28:41 UTC 2010 年 11 月 14 日 (日) 0 時 28 分 41 秒 (日本時間)
403e61110110Ignacio SantosNovember 13, 2010 15:28:41 UTC 2010 年 11 月 14 日 (日) 0 時 28 分 41 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2013 15:53:29 UTC 2013 年 9 月 25 日 (水) 0 時 53 分 29 秒 (日本時間)
4511e6492 / 421632Ignacio SantosNovember 13, 2010 15:28:41 UTC 2010 年 11 月 14 日 (日) 0 時 28 分 41 秒 (日本時間)
230Ignacio SantosOctober 4, 2013 14:02:24 UTC 2013 年 10 月 4 日 (金) 23 時 2 分 24 秒 (日本時間)
230Ignacio SantosOctober 25, 2013 14:46:37 UTC 2013 年 10 月 25 日 (金) 23 時 46 分 37 秒 (日本時間)

44×10207-179

c184

name 名前Serge Batalov
date 日付May 19, 2014 06:29:16 UTC 2014 年 5 月 19 日 (月) 15 時 29 分 16 秒 (日本時間)
composite number 合成数
1779229983638986505471223645388261330111782300574486421918863966764208434151242919677069748012308279536539130236559969876164534069435354494366276090208408243050414130408716862368533209<184>
prime factors 素因数
350058058349115853444686854740504151621<39>
composite cofactor 合成数の残り
5082671120413247106254272070410555724905895535969470129562377748054941400733112780121942679192720472690000691135563491973311979998207643259172229<145>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1630071514
Step 1 took 16555ms
Step 2 took 515ms
********** Factor found in step 2: 350058058349115853444686854740504151621
Found probable prime factor of 39 digits: 350058058349115853444686854740504151621
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 15, 2013 14:00:00 UTC 2013 年 9 月 15 日 (日) 23 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovSeptember 24, 2013 15:53:38 UTC 2013 年 9 月 25 日 (水) 0 時 53 分 38 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:57 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 57 秒 (日本時間)
4511e621001800Serge BatalovMay 24, 2014 17:35:59 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 59 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:40 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 40 秒 (日本時間)
5043e61000 / 7032Rich DickersonNovember 23, 2015 12:28:08 UTC 2015 年 11 月 23 日 (月) 21 時 28 分 8 秒 (日本時間)

44×10208-179

c185

composite cofactor 合成数の残り
54562657023469357274620321883806463682725196123133321027678267857801866559909172822981292621972383782499961936550089082348263624742798455577284663262896306974262796442183151632644038293<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 15, 2013 14:00:00 UTC 2013 年 9 月 15 日 (日) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovSeptember 24, 2013 15:53:52 UTC 2013 年 9 月 25 日 (水) 0 時 53 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:44:57 UTC 2014 年 1 月 9 日 (木) 13 時 44 分 57 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:35 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 35 秒 (日本時間)

44×10210-179

c202

composite cofactor 合成数の残り
1684944178486172976751769130662405230842662132948152367585359913222516529928405152943327224342661476911307055406442839974042394860332148828183347041018629443276296962308011145113357391915243684885808267<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 15, 2013 14:00:00 UTC 2013 年 9 月 15 日 (日) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovSeptember 24, 2013 15:54:03 UTC 2013 年 9 月 25 日 (水) 0 時 54 分 3 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:01 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 1 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:35 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 35 秒 (日本時間)

44×10211-179

c161

name 名前Dmitry Domanov
date 日付September 18, 2013 09:44:17 UTC 2013 年 9 月 18 日 (水) 18 時 44 分 17 秒 (日本時間)
composite number 合成数
22643759517756971092064570009426350570332654471329500342380910217497359094383829157172895533791023827417336486533384908065873458298240538254120761452532821301233<161>
prime factors 素因数
57235182741697141397888009702061324743<38>
composite cofactor 合成数の残り
395626578497153529793941223419767864065900025943244379024194532930475048639310545112868795410554184515559161382815413559431<123>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3692475624
Step 1 took 19506ms
Step 2 took 7923ms
********** Factor found in step 2: 57235182741697141397888009702061324743
Found probable prime factor of 38 digits: 57235182741697141397888009702061324743
Composite cofactor 395626578497153529793941223419767864065900025943244379024194532930475048639310545112868795410554184515559161382815413559431 has 123 digits

c123

name 名前Tapio Rajala
date 日付September 21, 2013 07:57:19 UTC 2013 年 9 月 21 日 (土) 16 時 57 分 19 秒 (日本時間)
composite number 合成数
395626578497153529793941223419767864065900025943244379024194532930475048639310545112868795410554184515559161382815413559431<123>
prime factors 素因数
2447778117035412439956534427098457385429236667<46>
161626814025247669107626957317149936665610746932908260000974736143907861648293<78>
factorization results 素因数分解の結果
Resuming ECM residue saved by *** with GMP-ECM 7.0-dev on Sat Sep 21 10:06:31 2013 
Input number is 395626578497153529793941223419767864065900025943244379024194532930475048639310545112868795410554184515559161382815413559431 (123 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2508517608
Step 1 took 0ms
Step 2 took 11449ms
********** Factor found in step 2: 2447778117035412439956534427098457385429236667
Found probable prime factor of 46 digits: 2447778117035412439956534427098457385429236667
Probable prime cofactor 161626814025247669107626957317149936665610746932908260000974736143907861648293 has 78 digits
software ソフトウェア
GMP-ECM 7.0-dev
execution environment 実行環境
Step 1: Nvidia GeForce GTX 580, Ubuntu 12.04
Step 2: AMD Athlon II X4 640, Ubuntu 12.04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 15, 2013 14:00:00 UTC 2013 年 9 月 15 日 (日) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 20, 2013 11:35:11 UTC 2013 年 9 月 20 日 (金) 20 時 35 分 11 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 20, 2013 11:35:11 UTC 2013 年 9 月 20 日 (金) 20 時 35 分 11 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 20, 2013 11:35:11 UTC 2013 年 9 月 20 日 (金) 20 時 35 分 11 秒 (日本時間)

44×10214-179

c187

composite cofactor 合成数の残り
3508114511835581973479249655956570495082678989995738844051940161303592485155727452484755418286083351627031757103752785798353929651321947104078342900509596798717443900624586887178477858011<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 15, 2013 14:00:00 UTC 2013 年 9 月 15 日 (日) 23 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovSeptember 24, 2013 15:54:11 UTC 2013 年 9 月 25 日 (水) 0 時 54 分 11 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:02 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 2 秒 (日本時間)
4511e6595 / 4188295CypFebruary 17, 2014 18:27:07 UTC 2014 年 2 月 18 日 (火) 3 時 27 分 7 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:41 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 41 秒 (日本時間)

44×10216-179

c190

composite cofactor 合成数の残り
1132069544385845225797133449897849894757184128737269923228404576806493354324947639491389601283562287338774018962736714841282287711130729124027979884287973948929963875674715820332938187102533<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 15, 2013 14:00:00 UTC 2013 年 9 月 15 日 (日) 23 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovSeptember 24, 2013 15:54:23 UTC 2013 年 9 月 25 日 (水) 0 時 54 分 23 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:02 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 2 秒 (日本時間)
4511e6300 / 3682Serge BatalovMay 27, 2014 00:32:41 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 41 秒 (日本時間)
5043e6144 / 7436CypFebruary 9, 2014 02:20:58 UTC 2014 年 2 月 9 日 (日) 11 時 20 分 58 秒 (日本時間)

44×10217-179

c218

name 名前Serge Batalov
date 日付November 8, 2013 18:05:48 UTC 2013 年 11 月 9 日 (土) 3 時 5 分 48 秒 (日本時間)
composite number 合成数
48888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<218>
prime factors 素因数
544592213167742859677008927837284733392437819<45>
89771553295842575371890672691236061862773686105158938309055573035707968426943377982594555194585473998890790569293204350161479491710418339399708118665272653870888033099089973<173>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=806173716
Step 1 took 66794ms
Step 2 took 20967ms
********** Factor found in step 2: 544592213167742859677008927837284733392437819
Found probable prime factor of 45 digits: 544592213167742859677008927837284733392437819
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 15, 2013 14:00:00 UTC 2013 年 9 月 15 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61512512Tapio RajalaSeptember 21, 2013 18:58:33 UTC 2013 年 9 月 22 日 (日) 3 時 58 分 33 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2013 15:54:31 UTC 2013 年 9 月 25 日 (水) 0 時 54 分 31 秒 (日本時間)
4511e6850 / 4141Serge BatalovNovember 8, 2013 17:14:48 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 48 秒 (日本時間)

44×10219-179

c193

name 名前Dmitry Domanov
date 日付September 18, 2013 09:45:02 UTC 2013 年 9 月 18 日 (水) 18 時 45 分 2 秒 (日本時間)
composite number 合成数
8397085484021706034185859048460447230100612896480867867234335136985116204531184710244435352715239194951471842533027040754053507760353538647038311434152316163990469405055509201784960729208266991<193>
prime factors 素因数
838699753688231876647429749673393<33>
composite cofactor 合成数の残り
10012028079291814409450639283664508842702769248476582033256134705108341908880285344602223071400831856450991000816980512774248993998441677948015058085868576022687<161>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3258894162
Step 1 took 28290ms
Step 2 took 10140ms
********** Factor found in step 2: 838699753688231876647429749673393
Found probable prime factor of 33 digits: 838699753688231876647429749673393

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 15, 2013 14:00:00 UTC 2013 年 9 月 15 日 (日) 23 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovSeptember 24, 2013 15:54:40 UTC 2013 年 9 月 25 日 (水) 0 時 54 分 40 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:03 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 3 秒 (日本時間)
4511e6300 / 3682Serge BatalovMay 27, 2014 00:32:41 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 41 秒 (日本時間)
5043e6144 / 7436CypFebruary 10, 2014 23:38:21 UTC 2014 年 2 月 11 日 (火) 8 時 38 分 21 秒 (日本時間)

44×10220-179

c165

composite cofactor 合成数の残り
256992309832168415258787194820398106701440706516812186374189911013858279150198376872950685642579092043553253759626274478668232894759763841296044694805413362098374129<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 15, 2013 14:00:00 UTC 2013 年 9 月 15 日 (日) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovSeptember 24, 2013 15:54:49 UTC 2013 年 9 月 25 日 (水) 0 時 54 分 49 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:03 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 3 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:35 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 35 秒 (日本時間)

44×10221-179

c220

composite cofactor 合成数の残り
9977324263038548752834467120181405895691609977324263038548752834467120181405895691609977324263038548752834467120181405895691609977324263038548752834467120181405895691609977324263038548752834467120181405895691609977324263<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 15, 2013 14:00:00 UTC 2013 年 9 月 15 日 (日) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 22, 2013 17:50:08 UTC 2013 年 9 月 23 日 (月) 2 時 50 分 8 秒 (日本時間)
403e61110110Ignacio SantosSeptember 22, 2013 17:50:08 UTC 2013 年 9 月 23 日 (月) 2 時 50 分 8 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2013 15:54:57 UTC 2013 年 9 月 25 日 (水) 0 時 54 分 57 秒 (日本時間)
4511e6428232Ignacio SantosSeptember 22, 2013 17:50:08 UTC 2013 年 9 月 23 日 (月) 2 時 50 分 8 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:15:17 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 17 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:18 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 18 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:36 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 36 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:42 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 42 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:42 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 42 秒 (日本時間)

44×10224-179

c197

composite cofactor 合成数の残り
46047251744060089890136658479696797857019720240167593669888840893052105487573631562927296574283832732930952634396101724391091389892261694572763913128057351805522975950177165065742993254735762541317<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 15, 2013 14:00:00 UTC 2013 年 9 月 15 日 (日) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovSeptember 24, 2013 15:55:06 UTC 2013 年 9 月 25 日 (水) 0 時 55 分 6 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:04 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 4 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:36 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 36 秒 (日本時間)

44×10227-179

c214

name 名前Dmitry Domanov
date 日付September 16, 2013 16:23:44 UTC 2013 年 9 月 17 日 (火) 1 時 23 分 44 秒 (日本時間)
composite number 合成数
3145495573757830321252365521963535237099551758782069872860356670971926107314679109599167315863294727406343069066447331289931666655444709609712654252973757590898698834365727305917593256718678925186759246078440845283<214>
prime factors 素因数
3253568647757603598765035659678903<34>
composite cofactor 合成数の残り
966783219996216011777170007435113368526271350687734185946955630474548723902210017546539727982630222463924689865308640990338037918082829289277746029283704275619626104622372603857461<180>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3050794977
Step 1 took 30593ms
Step 2 took 11079ms
********** Factor found in step 2: 3253568647757603598765035659678903
Found probable prime factor of 34 digits: 3253568647757603598765035659678903

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 15, 2013 14:00:00 UTC 2013 年 9 月 15 日 (日) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovSeptember 24, 2013 15:55:15 UTC 2013 年 9 月 25 日 (水) 0 時 55 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:05 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 5 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:36 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 36 秒 (日本時間)

44×10228-179

c218

composite cofactor 合成数の残り
47887302836303148538760017910982837743399396896217597930817840487250966934039247964977567802575373679330086331022778090364612149494857742521074042640259696169359191337464927084715703960819517903187025910685113431093861<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 15, 2013 14:00:00 UTC 2013 年 9 月 15 日 (日) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovSeptember 24, 2013 15:55:23 UTC 2013 年 9 月 25 日 (水) 0 時 55 分 23 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:06 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 6 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:36 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 36 秒 (日本時間)

44×10230-179

c125

name 名前Jose Pascoa
date 日付September 15, 2013 18:34:14 UTC 2013 年 9 月 16 日 (月) 3 時 34 分 14 秒 (日本時間)
composite number 合成数
37319103019226671475186804587045158186078291327525777820612496240506580185553489355792239008378697447901869736842449484457613<125>
prime factors 素因数
10690787463886010295823891617873271591<38>
composite cofactor 合成数の残り
3490772138656051347970040336003525749406921830866538389649072693874159153965737711571243<88>
factorization results 素因数分解の結果
prp38 = 10690787463886010295823891617873271591 (curve 22 stg2 B1=1000000 sigma=489131411 thread=6)
Finished 220 curves using Lenstra ECM method on C125 input, B1=1M, B2=gmp-ecm default
software ソフトウェア
YAFU

c88

name 名前Dmitry Domanov
date 日付September 16, 2013 22:22:04 UTC 2013 年 9 月 17 日 (火) 7 時 22 分 4 秒 (日本時間)
composite number 合成数
3490772138656051347970040336003525749406921830866538389649072693874159153965737711571243<88>
prime factors 素因数
441634700290486363799594414786752361<36>
7904207111352407239454652648816678529140150600072563<52>
factorization results 素因数分解の結果
N=3490772138656051347970040336003525749406921830866538389649072693874159153965737711571243
  ( 88 digits)
Divisors found:
 r1=441634700290486363799594414786752361 (pp36)
 r2=7904207111352407239454652648816678529140150600072563 (pp52)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 2.15 hours.
Scaled time: 1.87 units (timescale=0.872).
Factorization parameters were as follows:
name: c88
n:  3490772138656051347970040336003525749406921830866538389649072693874159153965737711571243
m:  114655138131595147406
deg: 4
c4: 20199816
c3: -115425634143
c2: 13546415367087427
c1: 319826430527990587
c0: -9266461563986230439699
skew: 1379.250
type: gnfs
# adj. I(F,S) = 50.623
# E(F1,F2) = 4.100518e-04
# GGNFS version 0.77.1-20060513-nocona polyselect.
# Options were:
# lcd=1, enumLCD=24, maxS1=56.00000000, seed=1379366952.
# maxskew=1500.0
# These parameters should be manually set:
rlim: 600000
alim: 600000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2
qintsize: 10000

type: gnfs
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [300000, 1000001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 82981 x 83206
Polynomial selection time: 0.14 hours.
Total sieving time: 1.92 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,87,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,600000,600000,25,25,43,43,2.2,2.2,10000
total time: 2.15 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaSeptember 15, 2013 14:00:00 UTC 2013 年 9 月 15 日 (日) 23 時 0 分 0 秒 (日本時間)
800Jose PascoaSeptember 15, 2013 18:33:07 UTC 2013 年 9 月 16 日 (月) 3 時 33 分 7 秒 (日本時間)

44×10231-179

c185

composite cofactor 合成数の残り
45585232182270317783440219165866526097945916592054784866887660576332850527679520523376266984524222459113261825672878211976960301809402021317127597069284472094548518165570525494344386991<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 15, 2013 14:00:00 UTC 2013 年 9 月 15 日 (日) 23 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovSeptember 24, 2013 15:55:32 UTC 2013 年 9 月 25 日 (水) 0 時 55 分 32 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:06 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 6 秒 (日本時間)
4511e6595 / 4188295CypMarch 11, 2014 14:57:10 UTC 2014 年 3 月 11 日 (火) 23 時 57 分 10 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:42 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 42 秒 (日本時間)

44×10232-179

c227

name 名前Dmitry Domanov
date 日付September 16, 2013 12:50:49 UTC 2013 年 9 月 16 日 (月) 21 時 50 分 49 秒 (日本時間)
composite number 合成数
22198903283364106563009896826056305802808453887252476552534537078954284335359033709993224793813811441203757729443702042485774665289729238463091220490152793537737807643375022369178961958092607669347739210714966636814186955833617<227>
prime factors 素因数
65870778320090942957976551579849<32>
337006846579089551033008721847919135424715304009355872106121007324211848972290290771041566803913356897350117468508011627591634538903508756503512517144620783345394848080164747702256096805719591433<195>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1024120064
Step 1 took 30710ms
Step 2 took 11419ms
********** Factor found in step 2: 65870778320090942957976551579849
Found probable prime factor of 32 digits: 65870778320090942957976551579849

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 15, 2013 14:00:00 UTC 2013 年 9 月 15 日 (日) 23 時 0 分 0 秒 (日本時間)

44×10234-179

c229

name 名前Dmitry Domanov
date 日付September 16, 2013 09:45:21 UTC 2013 年 9 月 16 日 (月) 18 時 45 分 21 秒 (日本時間)
composite number 合成数
5801024592784553770026554190073471294882296551805061314852323712465887668168736511793812600801042391382736177180166771546554474851042213396754353108630645731823643051354756780837422726067576399164283302528574330967174506817324549<229>
prime factors 素因数
31334739855805327836681489436709<32>
composite cofactor 合成数の残り
185130772410411728486906378469904098068064934845615959911532080271476604544508341266839101052238827357032201566765624633190136646510150326198671287021394519304182154245135261788089378386831783921761<198>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=683901664
Step 1 took 30516ms
Step 2 took 11429ms
********** Factor found in step 2: 31334739855805327836681489436709
Found probable prime factor of 32 digits: 31334739855805327836681489436709

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 15, 2013 14:00:00 UTC 2013 年 9 月 15 日 (日) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovSeptember 24, 2013 15:55:42 UTC 2013 年 9 月 25 日 (水) 0 時 55 分 42 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:07 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 7 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:37 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 37 秒 (日本時間)

44×10236-179

c217

composite cofactor 合成数の残り
3720057236648536694184683762624588505809350898346891667537069635360710186417801664632883532986089723472802120710677380978354968285659700631998912337829056403507169239048775645939883755984552355971873426965310089070139<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 15, 2013 14:00:00 UTC 2013 年 9 月 15 日 (日) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovSeptember 24, 2013 15:55:52 UTC 2013 年 9 月 25 日 (水) 0 時 55 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:08 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 8 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:38 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 38 秒 (日本時間)

44×10237-179

c193

composite cofactor 合成数の残り
7021785418538520639660222383751167452897876626315622879729787593130017570839775935883965196922939322890050097113695949444530006371240517477027456205377945466746422934680069418492696507184877867<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 15, 2013 14:00:00 UTC 2013 年 9 月 15 日 (日) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovSeptember 24, 2013 15:56:01 UTC 2013 年 9 月 25 日 (水) 0 時 56 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:08 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 8 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:38 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 38 秒 (日本時間)

44×10238-179

c202

composite cofactor 合成数の残り
1967618655356255429314121589859735608302941271084920260927079169464945095693398098652555973748147040978766261662704370128719548571350166453152976387719194970064455675508060262468771852881614383102667707<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 15, 2013 14:00:00 UTC 2013 年 9 月 15 日 (日) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovSeptember 24, 2013 15:56:09 UTC 2013 年 9 月 25 日 (水) 0 時 56 分 9 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:09 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 9 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:38 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 38 秒 (日本時間)

44×10239-179

c154

name 名前Dmitry Domanov
date 日付September 18, 2013 09:41:58 UTC 2013 年 9 月 18 日 (水) 18 時 41 分 58 秒 (日本時間)
composite number 合成数
6240310444071181054021593194220175368486594991569955198688948438149996679649617908609158186653732590629438925370970439101188369505027053341049329653435847<154>
prime factors 素因数
1823322506831935039317560868666017<34>
3067012041282286632038088967386976417<37>
25721420687882178872551918446408107065747<41>
43384267484813886851415922427951874062856509<44>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=524412115
Step 1 took 16746ms
Step 2 took 7308ms
********** Factor found in step 2: 3067012041282286632038088967386976417
Found probable prime factor of 37 digits: 3067012041282286632038088967386976417

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2432323129
Step 1 took 13566ms
Step 2 took 5866ms
********** Factor found in step 2: 25721420687882178872551918446408107065747
Found probable prime factor of 41 digits: 25721420687882178872551918446408107065747

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2459355390
Step 1 took 7899ms
Step 2 took 3978ms
********** Factor found in step 2: 1823322506831935039317560868666017
Found probable prime factor of 34 digits: 1823322506831935039317560868666017

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 15, 2013 14:00:00 UTC 2013 年 9 月 15 日 (日) 23 時 0 分 0 秒 (日本時間)

44×10240-179

c218

composite cofactor 合成数の残り
30807041761569196491176768936159805126339555031098963217459887655414199101479409655338015163892166933415340263302716088898954593048860807431071515766862852543900139014243226071523547950517703512438843354785643082004781<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 15, 2013 14:00:00 UTC 2013 年 9 月 15 日 (日) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovSeptember 24, 2013 15:56:17 UTC 2013 年 9 月 25 日 (水) 0 時 56 分 17 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:10 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 10 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:39 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 39 秒 (日本時間)

44×10241-179

c213

composite cofactor 合成数の残り
157049084405388162327684620410249816381409028205889331115379197627557132154228954293630625596169141427854752714166761466621621248387913944195780876208039959187620205995228792597883540393206426425952406048207489967<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 15, 2013 14:00:00 UTC 2013 年 9 月 15 日 (日) 23 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovSeptember 24, 2013 15:56:26 UTC 2013 年 9 月 25 日 (水) 0 時 56 分 26 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:11 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 11 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:39 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 39 秒 (日本時間)

44×10244-179

c190

composite cofactor 合成数の残り
1147703336606319348188349173789209291447104119362115368357471365719974864359382822250209928941151934500318952862926265813353639005408434684326038909308972730475070705311874971998419000473581<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 15, 2013 14:00:00 UTC 2013 年 9 月 15 日 (日) 23 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovSeptember 24, 2013 15:56:35 UTC 2013 年 9 月 25 日 (水) 0 時 56 分 35 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:11 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 11 秒 (日本時間)
4511e6605 / 4188305CypJanuary 10, 2014 05:10:18 UTC 2014 年 1 月 10 日 (金) 14 時 10 分 18 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:43 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 43 秒 (日本時間)

44×10246-179

c241

name 名前Serge Batalov
date 日付January 28, 2014 16:18:11 UTC 2014 年 1 月 29 日 (水) 1 時 18 分 11 秒 (日本時間)
composite number 合成数
5163248420192666614799489354731242945271796330502817080072712619342913271390780808721946985877459451778017399443096719260219154079195077734465164325661567606812061395248192070963686287128009953804181691426203039815568766430717948519362240249<241>
prime factors 素因数
197808241449060940930593428275283696692692311<45>
26102291706194116254090417610515197578369082688088540760116742372357700065481725115485596492807532098212215456801513903730174210369267934526608393704700486409328214968192633687161373924051486374959<197>
factorization results 素因数分解の結果
Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=531021919
Step 1 took 373874ms
Step 2 took 206719ms
********** Factor found in step 2: 197808241449060940930593428275283696692692311
Found probable prime factor of 45 digits: 197808241449060940930593428275283696692692311
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 15, 2013 14:00:00 UTC 2013 年 9 月 15 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2013 15:56:44 UTC 2013 年 9 月 25 日 (水) 0 時 56 分 44 秒 (日本時間)
4511e61250850Serge BatalovNovember 8, 2013 17:17:54 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 54 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:30:10 UTC 2014 年 1 月 6 日 (月) 11 時 30 分 10 秒 (日本時間)
5043e63775 / 7234775Serge BatalovNovember 25, 2013 02:18:04 UTC 2013 年 11 月 25 日 (月) 11 時 18 分 4 秒 (日本時間)
3000Serge BatalovJanuary 28, 2014 08:27:28 UTC 2014 年 1 月 28 日 (火) 17 時 27 分 28 秒 (日本時間)

44×10247-179

c207

name 名前Dmitry Domanov
date 日付September 16, 2013 11:20:54 UTC 2013 年 9 月 16 日 (月) 20 時 20 分 54 秒 (日本時間)
composite number 合成数
527860797299462439556578968142241085417263865281483366054450918541706459162338265410137223733771333319452263977627212970914703629852527852874029547428496338568303134811179566893657693141286981453167128244707<207>
prime factors 素因数
969567861511157819844091941301369<33>
544428934016794243331990392299146970892885404884065714751380534844826882119035012483674240957016979581739362553350152758014089732105873223288801462933730453582250491679097403<174>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2088129105
Step 1 took 26828ms
Step 2 took 10295ms
********** Factor found in step 2: 969567861511157819844091941301369
Found probable prime factor of 33 digits: 969567861511157819844091941301369

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 15, 2013 14:00:00 UTC 2013 年 9 月 15 日 (日) 23 時 0 分 0 秒 (日本時間)

44×10248-179

c244

composite cofactor 合成数の残り
4128327173681538965309854410789195417181534743157063145578889986648614617843568300827448121470397548524263773835225326911908065906866815474096154369412098062782473749937840528350817737170050487564821773548118937105873765137590576905574836719969<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 15, 2013 14:00:00 UTC 2013 年 9 月 15 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovSeptember 24, 2013 15:56:55 UTC 2013 年 9 月 25 日 (水) 0 時 56 分 55 秒 (日本時間)
4511e6850Serge BatalovNovember 8, 2013 17:18:05 UTC 2013 年 11 月 9 日 (土) 2 時 18 分 5 秒 (日本時間)
5043e62775 / 7324775Serge BatalovNovember 25, 2013 02:18:13 UTC 2013 年 11 月 25 日 (月) 11 時 18 分 13 秒 (日本時間)
2000Serge BatalovJanuary 4, 2014 09:46:00 UTC 2014 年 1 月 4 日 (土) 18 時 46 分 0 秒 (日本時間)

44×10250-179

c217

composite cofactor 合成数の残り
1057213295506939826183767835017068413592633316258709905419417133544111155111983720616602797969929635144370865190090926248020752679901753089476902972795289179055786219984815351453395021788609159082176439507990182315021<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 15, 2013 14:00:00 UTC 2013 年 9 月 15 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 18, 2013 15:36:17 UTC 2013 年 9 月 19 日 (木) 0 時 36 分 17 秒 (日本時間)
4511e61500Dmitry DomanovSeptember 18, 2013 15:36:17 UTC 2013 年 9 月 19 日 (木) 0 時 36 分 17 秒 (日本時間)
5043e6800 / 7159Dmitry DomanovOctober 11, 2013 11:21:43 UTC 2013 年 10 月 11 日 (金) 20 時 21 分 43 秒 (日本時間)