Table of contents 目次

56×10107+619

c91

name 名前Serge Batalov
date 日付May 24, 2009 20:35:11 UTC 2009 年 5 月 25 日 (月) 5 時 35 分 11 秒 (日本時間)
composite number 合成数
7071925373421631420796761079039365887080635651240836510936657912643231821326147396841506029<91>
prime factors 素因数
2295077568936423863494133074142261789<37>
3081344817769656577369011100621445436455662919402022161<55>
factorization results 素因数分解の結果
SNFS difficulty: 108 digits.
Divisors found:
 r1=2295077568936423863494133074142261789 (pp37)
 r2=3081344817769656577369011100621445436455662919402022161 (pp55)
Version: Msieve v. 1.41
Total time: 0.43 hours.
Scaled time: 1.27 units (timescale=2.952).
Factorization parameters were as follows:
n: 7071925373421631420796761079039365887080635651240836510936657912643231821326147396841506029
m: 2000000000000000000000
deg: 5
c5: 175
c0: 61
skew: 0.81
type: snfs
lss: 1
rlim: 450000
alim: 450000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 450000/450000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [225000, 375001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 40775 x 41003
Total sieving time: 0.40 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,108.000,5,0,0,0,0,0,0,0,0,450000,450000,25,25,44,44,2.2,2.2,50000
total time: 0.43 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)

56×10109+619

c100

name 名前Serge Batalov
date 日付May 24, 2009 20:57:07 UTC 2009 年 5 月 25 日 (月) 5 時 57 分 7 秒 (日本時間)
composite number 合成数
2055561049719694884428140807935064724630352561769741255986414432336507158381803421499204389441077783<100>
prime factors 素因数
2824281279310317588227094570203151997417<40>
727817397218189875999836925903135109554540687624630777625599<60>
factorization results 素因数分解の結果
SNFS difficulty: 111 digits.
Divisors found:
 r1=2824281279310317588227094570203151997417 (pp40)
 r2=727817397218189875999836925903135109554540687624630777625599 (pp60)
Version: Msieve v. 1.41
Total time: 0.41 hours.
Scaled time: 1.22 units (timescale=2.953).
Factorization parameters were as follows:
n: 2055561049719694884428140807935064724630352561769741255986414432336507158381803421499204389441077783
m: 10000000000000000000000
deg: 5
c5: 28
c0: 305
skew: 1.61
type: snfs
lss: 1
rlim: 500000
alim: 500000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [250000, 400001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 48123 x 48349
Total sieving time: 0.38 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,111.000,5,0,0,0,0,0,0,0,0,500000,500000,25,25,44,44,2.2,2.2,50000
total time: 0.41 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)

56×10114+619

c101

name 名前Erik Branger
date 日付May 24, 2009 19:28:52 UTC 2009 年 5 月 25 日 (月) 4 時 28 分 52 秒 (日本時間)
composite number 合成数
32407713374233713689381067581298315293249215778887709800371510988289185758861020536966163909590500457<101>
prime factors 素因数
6330526609647274115237024207116463641404217<43>
5119276068573292810156043341228585529455167728488587180721<58>
factorization results 素因数分解の結果
Number: 62229_114
N=32407713374233713689381067581298315293249215778887709800371510988289185758861020536966163909590500457
  ( 101 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=6330526609647274115237024207116463641404217 (pp43)
 r2=5119276068573292810156043341228585529455167728488587180721 (pp58)
Version: Msieve v. 1.41
Total time: 1.42 hours.
Scaled time: 1.24 units (timescale=0.873).
Factorization parameters were as follows:
n: 32407713374233713689381067581298315293249215778887709800371510988289185758861020536966163909590500457
m: 100000000000000000000000
deg: 5
c5: 28
c0: 305
skew: 1.61
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, 505001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 59031 x 59258
Total sieving time: 1.38 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,116.000,5,0,0,0,0,0,0,0,0,610000,610000,25,25,45,45,2.2,2.2,50000
total time: 1.42 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 KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)

56×10130+619

c93

name 名前Andreas Tete
date 日付May 24, 2009 20:35:21 UTC 2009 年 5 月 25 日 (月) 5 時 35 分 21 秒 (日本時間)
composite number 合成数
126344743372446397853828500971974809042236413069841939570637101725244189122830500998801597801<93>
prime factors 素因数
46247980690072474031252763921167863<35>
2731897511788387797568503987411292236154621175780104218527<58>
factorization results 素因数分解の結果
Sun May 24 20:20:45 2009  Msieve v. 1.41
Sun May 24 20:20:45 2009  random seeds: 092395d0 b3c8db31
Sun May 24 20:20:45 2009  factoring 126344743372446397853828500971974809042236413069841939570637101725244189122830500998801597801 (93 digits)
Sun May 24 20:20:46 2009  searching for 15-digit factors
Sun May 24 20:20:48 2009  commencing quadratic sieve (93-digit input)
Sun May 24 20:20:48 2009  using multiplier of 1
Sun May 24 20:20:48 2009  using 32kb Intel Core sieve core
Sun May 24 20:20:48 2009  sieve interval: 36 blocks of size 32768
Sun May 24 20:20:48 2009  processing polynomials in batches of 6
Sun May 24 20:20:48 2009  using a sieve bound of 1855093 (69412 primes)
Sun May 24 20:20:48 2009  using large prime bound of 209625509 (27 bits)
Sun May 24 20:20:48 2009  using double large prime bound of 951917611763851 (42-50 bits)
Sun May 24 20:20:48 2009  using trial factoring cutoff of 50 bits
Sun May 24 20:20:48 2009  polynomial 'A' values have 12 factors
Sun May 24 21:50:51 2009  69988 relations (18807 full + 51181 combined from 878512 partial), need 69508
Sun May 24 21:50:52 2009  begin with 897319 relations
Sun May 24 21:50:53 2009  reduce to 173296 relations in 11 passes
Sun May 24 21:50:53 2009  attempting to read 173296 relations
Sun May 24 21:50:55 2009  recovered 173296 relations
Sun May 24 21:50:55 2009  recovered 149101 polynomials
Sun May 24 21:50:55 2009  attempting to build 69988 cycles
Sun May 24 21:50:55 2009  found 69988 cycles in 6 passes
Sun May 24 21:50:55 2009  distribution of cycle lengths:
Sun May 24 21:50:55 2009     length 1 : 18807
Sun May 24 21:50:55 2009     length 2 : 13230
Sun May 24 21:50:55 2009     length 3 : 12138
Sun May 24 21:50:55 2009     length 4 : 9193
Sun May 24 21:50:55 2009     length 5 : 6597
Sun May 24 21:50:55 2009     length 6 : 4296
Sun May 24 21:50:55 2009     length 7 : 2591
Sun May 24 21:50:55 2009     length 9+: 3136
Sun May 24 21:50:55 2009  largest cycle: 18 relations
Sun May 24 21:50:55 2009  matrix is 69412 x 69988 (16.8 MB) with weight 4113021 (58.77/col)
Sun May 24 21:50:55 2009  sparse part has weight 4113021 (58.77/col)
Sun May 24 21:50:56 2009  filtering completed in 3 passes
Sun May 24 21:50:56 2009  matrix is 64767 x 64831 (15.5 MB) with weight 3813493 (58.82/col)
Sun May 24 21:50:56 2009  sparse part has weight 3813493 (58.82/col)
Sun May 24 21:50:56 2009  saving the first 48 matrix rows for later
Sun May 24 21:50:56 2009  matrix is 64719 x 64831 (9.1 MB) with weight 2880785 (44.44/col)
Sun May 24 21:50:56 2009  sparse part has weight 1985361 (30.62/col)
Sun May 24 21:50:56 2009  matrix includes 64 packed rows
Sun May 24 21:50:56 2009  using block size 25932 for processor cache size 3072 kB
Sun May 24 21:50:57 2009  commencing Lanczos iteration
Sun May 24 21:50:57 2009  memory use: 9.3 MB
Sun May 24 21:51:18 2009  lanczos halted after 1025 iterations (dim = 64716)
Sun May 24 21:51:18 2009  recovered 14 nontrivial dependencies
Sun May 24 21:51:19 2009  prp35 factor: 46247980690072474031252763921167863
Sun May 24 21:51:19 2009  prp58 factor: 2731897511788387797568503987411292236154621175780104218527
Sun May 24 21:51:19 2009  elapsed time 01:30:34
software ソフトウェア
Msieve v.1.41
execution environment 実行環境
Intel Core 2 Duo T8100 / Windows Vista 32bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)

56×10131+619

c122

name 名前Sinkiti Sibata
date 日付May 25, 2009 06:51:23 UTC 2009 年 5 月 25 日 (月) 15 時 51 分 23 秒 (日本時間)
composite number 合成数
92289097519504779862952719554869071871120983603499068731655019677004049875514370065206669198915030245941280087690671941353<122>
prime factors 素因数
159686308718439159016667656009306239856813271212893922903<57>
577939951522268816742636674750823088926876138623548752575547561151<66>
factorization results 素因数分解の結果
Number: 62229_131
N=92289097519504779862952719554869071871120983603499068731655019677004049875514370065206669198915030245941280087690671941353
  ( 122 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=159686308718439159016667656009306239856813271212893922903 (pp57)
 r2=577939951522268816742636674750823088926876138623548752575547561151 (pp66)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 6.12 hours.
Scaled time: 2.90 units (timescale=0.474).
Factorization parameters were as follows:
name: 62229_131
n: 92289097519504779862952719554869071871120983603499068731655019677004049875514370065206669198915030245941280087690671941353
m: 200000000000000000000000000
deg: 5
c5: 35
c0: 122
skew: 1.28
type: snfs
lss: 1
rlim: 1160000
alim: 1160000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1160000/1160000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [580000, 1080001)
Primes: RFBsize:90030, AFBsize:89794, largePrimes:2889130 encountered
Relations: rels:2764091, finalFF:201528
Max relations in full relation-set: 28
Initial matrix: 179890 x 201528 with sparse part having weight 15605433.
Pruned matrix : 172692 x 173655 with weight 11444066.
Total sieving time: 5.44 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.50 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,133,5,0,0,0,0,0,0,0,0,1160000,1160000,26,26,47,47,2.3,2.3,50000
total time: 6.12 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 KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)

56×10133+619

c120

name 名前Sinkiti Sibata
date 日付May 25, 2009 03:57:01 UTC 2009 年 5 月 25 日 (月) 12 時 57 分 1 秒 (日本時間)
composite number 合成数
448607697197019060625892563531944678283091071139362032611439778047028539705459320296028668163660435906071845109662249083<120>
prime factors 素因数
2050093115527204261907231651787933907889<40>
218823083595232013815530432131300867020797233718074161750759354297345178113504747<81>
factorization results 素因数分解の結果
Number: 62229_133
N=448607697197019060625892563531944678283091071139362032611439778047028539705459320296028668163660435906071845109662249083
  ( 120 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=2050093115527204261907231651787933907889 (pp40)
 r2=218823083595232013815530432131300867020797233718074161750759354297345178113504747 (pp81)
Version: Msieve-1.40
Total time: 5.02 hours.
Scaled time: 12.86 units (timescale=2.564).
Factorization parameters were as follows:
name: 62229_133
n: 448607697197019060625892563531944678283091071139362032611439778047028539705459320296028668163660435906071845109662249083
m: 400000000000000000000000000
deg: 5
c5: 875
c0: 976
skew: 1.02
type: snfs
lss: 1
rlim: 1290000
alim: 1290000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1290000/1290000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [645000, 1395001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 205047 x 205295
Total sieving time: 5.02 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,135.000,5,0,0,0,0,0,0,0,0,1290000,1290000,26,26,47,47,2.3,2.3,75000
total time: 5.02 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 KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)

56×10135+619

c108

name 名前Sinkiti Sibata
date 日付May 25, 2009 08:20:57 UTC 2009 年 5 月 25 日 (月) 17 時 20 分 57 秒 (日本時間)
composite number 合成数
123917334700697597414242200320681797444203769876573619477198778577783375289171534465147893407700710833216291<108>
prime factors 素因数
209015100514626233074544372015842670379194321<45>
592863072551192271076213234179270899072477314898132518913979571<63>
factorization results 素因数分解の結果
Number: 62229_135
N=123917334700697597414242200320681797444203769876573619477198778577783375289171534465147893407700710833216291
  ( 108 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=209015100514626233074544372015842670379194321 (pp45)
 r2=592863072551192271076213234179270899072477314898132518913979571 (pp63)
Version: Msieve-1.40
Total time: 3.83 hours.
Scaled time: 9.81 units (timescale=2.564).
Factorization parameters were as follows:
name: 62229_135
n: 123917334700697597414242200320681797444203769876573619477198778577783375289171534465147893407700710833216291
m: 1000000000000000000000000000
deg: 5
c5: 56
c0: 61
skew: 1.02
type: snfs
lss: 1
rlim: 1330000
alim: 1330000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1330000/1330000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [665000, 1190001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 171604 x 171852
Total sieving time: 3.83 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,136.000,5,0,0,0,0,0,0,0,0,1330000,1330000,26,26,48,48,2.3,2.3,75000
total time: 3.83 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 KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)

56×10140+619

c96

name 名前Andreas Tete
date 日付May 25, 2009 07:13:10 UTC 2009 年 5 月 25 日 (月) 16 時 13 分 10 秒 (日本時間)
composite number 合成数
146182122613479262289613169053058939851336705039243163791190781853654247444845783800423750295163<96>
prime factors 素因数
978943390360530542658966408125707944647<39>
149326430979469122412950225463477963912388764701360493229<57>
factorization results 素因数分解の結果
Sun May 24 22:39:56 2009  Msieve v. 1.41
Sun May 24 22:39:56 2009  random seeds: 06f87b70 c674ec23
Sun May 24 22:39:56 2009  factoring 146182122613479262289613169053058939851336705039243163791190781853654247444845783800423750295163 (96 digits)
Sun May 24 22:39:56 2009  searching for 15-digit factors
Sun May 24 22:39:58 2009  commencing quadratic sieve (96-digit input)
Sun May 24 22:39:58 2009  using multiplier of 43
Sun May 24 22:39:58 2009  using 32kb Intel Core sieve core
Sun May 24 22:39:58 2009  sieve interval: 36 blocks of size 32768
Sun May 24 22:39:58 2009  processing polynomials in batches of 6
Sun May 24 22:39:58 2009  using a sieve bound of 2231351 (82021 primes)
Sun May 24 22:39:58 2009  using large prime bound of 334702650 (28 bits)
Sun May 24 22:39:58 2009  using double large prime bound of 2209970306285550 (43-51 bits)
Sun May 24 22:39:58 2009  using trial factoring cutoff of 51 bits
Sun May 24 22:39:58 2009  polynomial 'A' values have 13 factors
Mon May 25 02:48:05 2009  82159 relations (19904 full + 62255 combined from 1225582 partial), need 82117
Mon May 25 02:48:11 2009  begin with 1245486 relations
Mon May 25 02:48:11 2009  reduce to 213522 relations in 10 passes
Mon May 25 02:48:11 2009  attempting to read 213522 relations
Mon May 25 02:48:14 2009  recovered 213522 relations
Mon May 25 02:48:14 2009  recovered 200363 polynomials
Mon May 25 02:48:15 2009  attempting to build 82159 cycles
Mon May 25 02:48:15 2009  found 82159 cycles in 5 passes
Mon May 25 02:48:15 2009  distribution of cycle lengths:
Mon May 25 02:48:15 2009     length 1 : 19904
Mon May 25 02:48:15 2009     length 2 : 14671
Mon May 25 02:48:15 2009     length 3 : 13906
Mon May 25 02:48:15 2009     length 4 : 11285
Mon May 25 02:48:15 2009     length 5 : 8474
Mon May 25 02:48:15 2009     length 6 : 5479
Mon May 25 02:48:15 2009     length 7 : 3542
Mon May 25 02:48:15 2009     length 9+: 4898
Mon May 25 02:48:15 2009  largest cycle: 19 relations
Mon May 25 02:48:15 2009  matrix is 82021 x 82159 (22.0 MB) with weight 5431070 (66.10/col)
Mon May 25 02:48:15 2009  sparse part has weight 5431070 (66.10/col)
Mon May 25 02:48:16 2009  filtering completed in 3 passes
Mon May 25 02:48:16 2009  matrix is 78309 x 78373 (21.1 MB) with weight 5212730 (66.51/col)
Mon May 25 02:48:16 2009  sparse part has weight 5212730 (66.51/col)
Mon May 25 02:48:16 2009  saving the first 48 matrix rows for later
Mon May 25 02:48:16 2009  matrix is 78261 x 78373 (13.2 MB) with weight 4124874 (52.63/col)
Mon May 25 02:48:16 2009  sparse part has weight 2986916 (38.11/col)
Mon May 25 02:48:16 2009  matrix includes 64 packed rows
Mon May 25 02:48:16 2009  using block size 31349 for processor cache size 3072 kB
Mon May 25 02:48:17 2009  commencing Lanczos iteration
Mon May 25 02:48:17 2009  memory use: 12.7 MB
Mon May 25 02:48:51 2009  lanczos halted after 1240 iterations (dim = 78257)
Mon May 25 02:48:51 2009  recovered 15 nontrivial dependencies
Mon May 25 02:48:51 2009  prp39 factor: 978943390360530542658966408125707944647
Mon May 25 02:48:51 2009  prp57 factor: 149326430979469122412950225463477963912388764701360493229
Mon May 25 02:48:51 2009  elapsed time 04:08:55
software ソフトウェア
Msieve v. 1.41
execution environment 実行環境
Intel Core 2 Duo T8100 / Windows Vista 32bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)

56×10142+619

c107

name 名前Sinkiti Sibata
date 日付May 25, 2009 20:28:51 UTC 2009 年 5 月 26 日 (火) 5 時 28 分 51 秒 (日本時間)
composite number 合成数
83126110994639384502124993651960889801899443839353934431248268695470043758248670095884805167694367492493769<107>
prime factors 素因数
44872549100086381398779792036441672819<38>
1852493621640036569971842416827656964494493099561502515079759713220051<70>
factorization results 素因数分解の結果
Number: 62229_142
N=83126110994639384502124993651960889801899443839353934431248268695470043758248670095884805167694367492493769
  ( 107 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=44872549100086381398779792036441672819 (pp38)
 r2=1852493621640036569971842416827656964494493099561502515079759713220051 (pp70)
Version: Msieve-1.40
Total time: 6.74 hours.
Scaled time: 17.29 units (timescale=2.564).
Factorization parameters were as follows:
name: 62229_142
n: 83126110994639384502124993651960889801899443839353934431248268695470043758248670095884805167694367492493769
m: 20000000000000000000000000000
deg: 5
c5: 175
c0: 61
skew: 0.81
type: snfs
lss: 1
rlim: 1740000
alim: 1740000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1740000/1740000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [870000, 1770001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 282609 x 282857
Total sieving time: 6.74 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,143.000,5,0,0,0,0,0,0,0,0,1740000,1740000,26,26,48,48,2.3,2.3,100000
total time: 6.74 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 KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)

56×10143+619

c93

name 名前Andreas Tete
date 日付May 24, 2009 20:38:45 UTC 2009 年 5 月 25 日 (月) 5 時 38 分 45 秒 (日本時間)
composite number 合成数
266483874601357153181251525441014367612362300577944076002637810002542212287393126744496369727<93>
prime factors 素因数
317892978543602332825062735108706473864059569<45>
838281725573898180269529020619937933152992089583<48>
factorization results 素因数分解の結果
Sun May 24 20:21:04 2009  Msieve v. 1.41
Sun May 24 20:21:04 2009  random seeds: 122f2e58 cfce9184
Sun May 24 20:21:04 2009  factoring 266483874601357153181251525441014367612362300577944076002637810002542212287393126744496369727 (93 digits)
Sun May 24 20:21:05 2009  searching for 15-digit factors
Sun May 24 20:21:06 2009  commencing quadratic sieve (93-digit input)
Sun May 24 20:21:06 2009  using multiplier of 23
Sun May 24 20:21:06 2009  using 32kb Intel Core sieve core
Sun May 24 20:21:06 2009  sieve interval: 36 blocks of size 32768
Sun May 24 20:21:06 2009  processing polynomials in batches of 6
Sun May 24 20:21:06 2009  using a sieve bound of 1923137 (71682 primes)
Sun May 24 20:21:06 2009  using large prime bound of 232699577 (27 bits)
Sun May 24 20:21:06 2009  using double large prime bound of 1148767303677169 (42-51 bits)
Sun May 24 20:21:06 2009  using trial factoring cutoff of 51 bits
Sun May 24 20:21:06 2009  polynomial 'A' values have 12 factors
Sun May 24 22:15:21 2009  72189 relations (18540 full + 53649 combined from 955622 partial), need 71778
Sun May 24 22:15:22 2009  begin with 974162 relations
Sun May 24 22:15:22 2009  reduce to 182692 relations in 10 passes
Sun May 24 22:15:22 2009  attempting to read 182692 relations
Sun May 24 22:15:24 2009  recovered 182692 relations
Sun May 24 22:15:24 2009  recovered 161726 polynomials
Sun May 24 22:15:24 2009  attempting to build 72189 cycles
Sun May 24 22:15:24 2009  found 72189 cycles in 5 passes
Sun May 24 22:15:24 2009  distribution of cycle lengths:
Sun May 24 22:15:24 2009     length 1 : 18540
Sun May 24 22:15:24 2009     length 2 : 13035
Sun May 24 22:15:24 2009     length 3 : 12364
Sun May 24 22:15:24 2009     length 4 : 9765
Sun May 24 22:15:24 2009     length 5 : 7042
Sun May 24 22:15:24 2009     length 6 : 4696
Sun May 24 22:15:24 2009     length 7 : 2920
Sun May 24 22:15:24 2009     length 9+: 3827
Sun May 24 22:15:24 2009  largest cycle: 22 relations
Sun May 24 22:15:25 2009  matrix is 71682 x 72189 (18.5 MB) with weight 4572493 (63.34/col)
Sun May 24 22:15:25 2009  sparse part has weight 4572493 (63.34/col)
Sun May 24 22:15:25 2009  filtering completed in 4 passes
Sun May 24 22:15:25 2009  matrix is 67624 x 67688 (17.4 MB) with weight 4291973 (63.41/col)
Sun May 24 22:15:25 2009  sparse part has weight 4291973 (63.41/col)
Sun May 24 22:15:25 2009  saving the first 48 matrix rows for later
Sun May 24 22:15:25 2009  matrix is 67576 x 67688 (11.0 MB) with weight 3377687 (49.90/col)
Sun May 24 22:15:25 2009  sparse part has weight 2467530 (36.45/col)
Sun May 24 22:15:25 2009  matrix includes 64 packed rows
Sun May 24 22:15:25 2009  using block size 27075 for processor cache size 3072 kB
Sun May 24 22:15:26 2009  commencing Lanczos iteration
Sun May 24 22:15:26 2009  memory use: 10.6 MB
Sun May 24 22:15:48 2009  lanczos halted after 1069 iterations (dim = 67576)
Sun May 24 22:15:48 2009  recovered 18 nontrivial dependencies
Sun May 24 22:15:49 2009  prp45 factor: 317892978543602332825062735108706473864059569
Sun May 24 22:15:49 2009  prp48 factor: 838281725573898180269529020619937933152992089583
Sun May 24 22:15:49 2009  elapsed time 01:54:45
software ソフトウェア
Msieve v.1.41
execution environment 実行環境
Intel Core 2 Duo T8100 / Windows Vista 32 bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)

56×10147+619

c129

name 名前Robert Backstrom
date 日付May 26, 2009 23:38:50 UTC 2009 年 5 月 27 日 (水) 8 時 38 分 50 秒 (日本時間)
composite number 合成数
986944690829397494891842036788406549333195416034921768446440979831502668989069508880958440112596340641488280029932940203142164707<129>
prime factors 素因数
465797699955877232314532201968922695556111616869606659<54>
2118826887558452953755045283330372730886493555641871631624937415827575885473<76>
factorization results 素因数分解の結果
Number: n
N=986944690829397494891842036788406549333195416034921768446440979831502668989069508880958440112596340641488280029932940203142164707
  ( 129 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=465797699955877232314532201968922695556111616869606659 (pp54)
 r2=2118826887558452953755045283330372730886493555641871631624937415827575885473 (pp76)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 8.43 hours.
Scaled time: 21.11 units (timescale=2.504).
Factorization parameters were as follows:
name: KA_6_2_146_9
n: 986944690829397494891842036788406549333195416034921768446440979831502668989069508880958440112596340641488280029932940203142164707
m: 200000000000000000000000000000
deg: 5
c5: 175
c0: 61
skew: 0.81
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.3
alambda: 2.3
qintsize: 100000
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [1050000, 2550001)
Primes: RFBsize:155805, AFBsize:155723, largePrimes:7753568 encountered
Relations: rels:7266143, finalFF:435765
Max relations in full relation-set: 28
Initial matrix: 311594 x 435765 with sparse part having weight 44152462.
Pruned matrix : 268454 x 270075 with weight 24701362.
Total sieving time: 7.95 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.27 hours.
Total square root time: 0.08 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,2100000,2100000,28,28,56,56,2.3,2.3,100000
total time: 8.43 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 KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)

56×10148+619

c111

name 名前Jo Yeong Uk
date 日付May 26, 2009 01:12:28 UTC 2009 年 5 月 26 日 (火) 10 時 12 分 28 秒 (日本時間)
composite number 合成数
121195053026045584142394732863532381780659248901094604117009289059680767354936395953884054694505268254893192653<111>
prime factors 素因数
289514970278927942159258952609383815151082133561159<51>
418614114873860963119831279688454686719068277729444773205067<60>
factorization results 素因数分解の結果
Number: 62229_148
N=121195053026045584142394732863532381780659248901094604117009289059680767354936395953884054694505268254893192653
  ( 111 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=289514970278927942159258952609383815151082133561159
 r2=418614114873860963119831279688454686719068277729444773205067
Version: 
Total time: 9.08 hours.
Scaled time: 21.71 units (timescale=2.391).
Factorization parameters were as follows:
n: 121195053026045584142394732863532381780659248901094604117009289059680767354936395953884054694505268254893192653
m: 1000000000000000000000000000000
deg: 5
c5: 14
c0: 1525
skew: 2.56
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 1900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7197933
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 374222 x 374470
Total sieving time: 8.38 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2000000,2000000,27,27,49,49,2.4,2.4,100000
total time: 9.08 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.. 5347.58 BogoMIPS (lpj=2673793)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672305)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
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 KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)

56×10149+619

c104

name 名前Andreas Tete
date 日付May 25, 2009 07:20:09 UTC 2009 年 5 月 25 日 (月) 16 時 20 分 9 秒 (日本時間)
composite number 合成数
52062171068445830162659955825043517121841057140092515963953339641548995481118465125414925940886536320717<104>
prime factors 素因数
832195583129323149983272972560380221<36>
62560018490695800182384977161797681356057234677991482841691500909777<68>
factorization results 素因数分解の結果
Mon May 25 05:33:46 2009  Msieve v. 1.41
Mon May 25 05:33:46 2009  random seeds: 018af4c8 d7d4be39
Mon May 25 05:33:46 2009  factoring 52062171068445830162659955825043517121841057140092515963953339641548995481118465125414925940886536320717 (104 digits)
Mon May 25 05:33:47 2009  searching for 15-digit factors
Mon May 25 05:33:48 2009  commencing number field sieve (104-digit input)
Mon May 25 05:33:49 2009  R0: -129310016354264376017
Mon May 25 05:33:49 2009  R1:  37729512247
Mon May 25 05:33:49 2009  A0: -12303180889884472428281196
Mon May 25 05:33:49 2009  A1:  6672523770448843233576
Mon May 25 05:33:49 2009  A2:  8027043772154227
Mon May 25 05:33:49 2009  A3: -9727220638494
Mon May 25 05:33:49 2009  A4: -11933922
Mon May 25 05:33:49 2009  A5:  1440
Mon May 25 05:33:49 2009  skew 42751.50, size 6.886428e-010, alpha -5.640437, combined = 2.142178e-009
Mon May 25 05:33:49 2009  
Mon May 25 05:33:49 2009  commencing relation filtering
Mon May 25 05:33:49 2009  commencing duplicate removal, pass 1
Mon May 25 05:34:50 2009  found 252836 hash collisions in 4403292 relations
Mon May 25 05:35:03 2009  added 31659 free relations
Mon May 25 05:35:03 2009  commencing duplicate removal, pass 2
Mon May 25 05:35:24 2009  found 229075 duplicates and 4205875 unique relations
Mon May 25 05:35:24 2009  memory use: 36.7 MB
Mon May 25 05:35:24 2009  reading rational ideals above 2686976
Mon May 25 05:35:24 2009  reading algebraic ideals above 2686976
Mon May 25 05:35:24 2009  commencing singleton removal, pass 1
Mon May 25 05:36:10 2009  relations with 0 large ideals: 105708
Mon May 25 05:36:10 2009  relations with 1 large ideals: 667887
Mon May 25 05:36:10 2009  relations with 2 large ideals: 1524536
Mon May 25 05:36:10 2009  relations with 3 large ideals: 1433892
Mon May 25 05:36:10 2009  relations with 4 large ideals: 443789
Mon May 25 05:36:10 2009  relations with 5 large ideals: 0
Mon May 25 05:36:10 2009  relations with 6 large ideals: 30063
Mon May 25 05:36:10 2009  relations with 7+ large ideals: 0
Mon May 25 05:36:10 2009  4205875 relations and about 4232833 large ideals
Mon May 25 05:36:10 2009  commencing singleton removal, pass 2
Mon May 25 05:36:57 2009  found 1957334 singletons
Mon May 25 05:36:57 2009  current dataset: 2248541 relations and about 1850202 large ideals
Mon May 25 05:36:57 2009  commencing singleton removal, pass 3
Mon May 25 05:37:22 2009  found 469164 singletons
Mon May 25 05:37:22 2009  current dataset: 1779377 relations and about 1341428 large ideals
Mon May 25 05:37:22 2009  commencing singleton removal, final pass
Mon May 25 05:37:42 2009  memory use: 33.3 MB
Mon May 25 05:37:42 2009  commencing in-memory singleton removal
Mon May 25 05:37:42 2009  begin with 1779377 relations and 1378143 unique ideals
Mon May 25 05:37:44 2009  reduce to 1436060 relations and 1023327 ideals in 17 passes
Mon May 25 05:37:44 2009  max relations containing the same ideal: 15
Mon May 25 05:37:44 2009  reading rational ideals above 100000
Mon May 25 05:37:44 2009  reading algebraic ideals above 100000
Mon May 25 05:37:44 2009  commencing singleton removal, final pass
Mon May 25 05:38:06 2009  keeping 1311028 ideals with weight <= 25, new excess is 105073
Mon May 25 05:38:08 2009  memory use: 46.3 MB
Mon May 25 05:38:08 2009  commencing in-memory singleton removal
Mon May 25 05:38:08 2009  begin with 1436466 relations and 1311028 unique ideals
Mon May 25 05:38:10 2009  reduce to 1418531 relations and 1291094 ideals in 14 passes
Mon May 25 05:38:10 2009  max relations containing the same ideal: 25
Mon May 25 05:38:11 2009  relations with 0 large ideals: 3714
Mon May 25 05:38:11 2009  relations with 1 large ideals: 36679
Mon May 25 05:38:11 2009  relations with 2 large ideals: 154974
Mon May 25 05:38:11 2009  relations with 3 large ideals: 345255
Mon May 25 05:38:11 2009  relations with 4 large ideals: 428854
Mon May 25 05:38:11 2009  relations with 5 large ideals: 297777
Mon May 25 05:38:11 2009  relations with 6 large ideals: 120870
Mon May 25 05:38:11 2009  relations with 7+ large ideals: 30408
Mon May 25 05:38:11 2009  commencing 2-way merge
Mon May 25 05:38:13 2009  reduce to 793834 relation sets and 666539 unique ideals
Mon May 25 05:38:13 2009  ignored 142 oversize relation sets
Mon May 25 05:38:13 2009  commencing full merge
Mon May 25 05:38:26 2009  memory use: 51.8 MB
Mon May 25 05:38:26 2009  found 348548 cycles, need 336739
Mon May 25 05:38:26 2009  weight of 336739 cycles is about 23875670 (70.90/cycle)
Mon May 25 05:38:26 2009  distribution of cycle lengths:
Mon May 25 05:38:26 2009  1 relations: 37628
Mon May 25 05:38:26 2009  2 relations: 36630
Mon May 25 05:38:26 2009  3 relations: 35577
Mon May 25 05:38:26 2009  4 relations: 32071
Mon May 25 05:38:26 2009  5 relations: 28916
Mon May 25 05:38:26 2009  6 relations: 25285
Mon May 25 05:38:26 2009  7 relations: 21939
Mon May 25 05:38:26 2009  8 relations: 18742
Mon May 25 05:38:26 2009  9 relations: 16541
Mon May 25 05:38:26 2009  10+ relations: 83410
Mon May 25 05:38:26 2009  heaviest cycle: 23 relations
Mon May 25 05:38:26 2009  commencing cycle optimization
Mon May 25 05:38:27 2009  start with 2248490 relations
Mon May 25 05:38:33 2009  pruned 62276 relations
Mon May 25 05:38:33 2009  memory use: 57.9 MB
Mon May 25 05:38:33 2009  distribution of cycle lengths:
Mon May 25 05:38:33 2009  1 relations: 37628
Mon May 25 05:38:33 2009  2 relations: 37508
Mon May 25 05:38:33 2009  3 relations: 36957
Mon May 25 05:38:33 2009  4 relations: 32991
Mon May 25 05:38:33 2009  5 relations: 29754
Mon May 25 05:38:33 2009  6 relations: 25609
Mon May 25 05:38:33 2009  7 relations: 22241
Mon May 25 05:38:33 2009  8 relations: 18838
Mon May 25 05:38:33 2009  9 relations: 16417
Mon May 25 05:38:33 2009  10+ relations: 78796
Mon May 25 05:38:33 2009  heaviest cycle: 23 relations
Mon May 25 05:38:34 2009  RelProcTime: 240
Mon May 25 05:38:34 2009  
Mon May 25 05:38:34 2009  commencing linear algebra
Mon May 25 05:38:34 2009  read 336739 cycles
Mon May 25 05:38:35 2009  cycles contain 1199734 unique relations
Mon May 25 05:38:48 2009  read 1199734 relations
Mon May 25 05:38:49 2009  using 20 quadratic characters above 67107320
Mon May 25 05:38:57 2009  building initial matrix
Mon May 25 05:39:13 2009  memory use: 131.8 MB
Mon May 25 05:39:13 2009  read 336739 cycles
Mon May 25 05:39:14 2009  matrix is 336429 x 336739 (95.4 MB) with weight 32260771 (95.80/col)
Mon May 25 05:39:14 2009  sparse part has weight 22649350 (67.26/col)
Mon May 25 05:39:19 2009  filtering completed in 3 passes
Mon May 25 05:39:19 2009  matrix is 333871 x 334071 (94.9 MB) with weight 32048592 (95.93/col)
Mon May 25 05:39:19 2009  sparse part has weight 22527086 (67.43/col)
Mon May 25 05:39:20 2009  read 334071 cycles
Mon May 25 05:39:21 2009  matrix is 333871 x 334071 (94.9 MB) with weight 32048592 (95.93/col)
Mon May 25 05:39:21 2009  sparse part has weight 22527086 (67.43/col)
Mon May 25 05:39:21 2009  saving the first 48 matrix rows for later
Mon May 25 05:39:21 2009  matrix is 333823 x 334071 (91.6 MB) with weight 25399168 (76.03/col)
Mon May 25 05:39:21 2009  sparse part has weight 22011721 (65.89/col)
Mon May 25 05:39:21 2009  matrix includes 64 packed rows
Mon May 25 05:39:21 2009  using block size 65536 for processor cache size 3072 kB
Mon May 25 05:39:24 2009  commencing Lanczos iteration
Mon May 25 05:39:24 2009  memory use: 89.0 MB
Mon May 25 05:55:18 2009  lanczos halted after 5279 iterations (dim = 333823)
Mon May 25 05:55:19 2009  recovered 30 nontrivial dependencies
Mon May 25 05:55:19 2009  BLanczosTime: 1005
Mon May 25 05:55:19 2009  
Mon May 25 05:55:19 2009  commencing square root phase
Mon May 25 05:55:19 2009  reading relations for dependency 1
Mon May 25 05:55:20 2009  read 167116 cycles
Mon May 25 05:55:20 2009  cycles contain 736925 unique relations
Mon May 25 05:55:42 2009  read 736925 relations
Mon May 25 05:55:46 2009  multiplying 597656 relations
Mon May 25 05:57:16 2009  multiply complete, coefficients have about 22.86 million bits
Mon May 25 05:57:17 2009  initial square root is modulo 3683189
Mon May 25 05:59:23 2009  reading relations for dependency 2
Mon May 25 05:59:23 2009  read 166895 cycles
Mon May 25 05:59:24 2009  cycles contain 736574 unique relations
Mon May 25 05:59:43 2009  read 736574 relations
Mon May 25 05:59:47 2009  multiplying 597616 relations
Mon May 25 06:01:16 2009  multiply complete, coefficients have about 22.86 million bits
Mon May 25 06:01:17 2009  initial square root is modulo 3677743
Mon May 25 06:03:23 2009  reading relations for dependency 3
Mon May 25 06:03:23 2009  read 167360 cycles
Mon May 25 06:03:23 2009  cycles contain 737677 unique relations
Mon May 25 06:03:32 2009  read 737677 relations
Mon May 25 06:03:36 2009  multiplying 598594 relations
Mon May 25 06:05:05 2009  multiply complete, coefficients have about 22.89 million bits
Mon May 25 06:05:06 2009  initial square root is modulo 3763663
Mon May 25 06:07:13 2009  reading relations for dependency 4
Mon May 25 06:07:13 2009  read 167048 cycles
Mon May 25 06:07:13 2009  cycles contain 736390 unique relations
Mon May 25 06:07:30 2009  read 736390 relations
Mon May 25 06:07:34 2009  multiplying 598082 relations
Mon May 25 06:09:02 2009  multiply complete, coefficients have about 22.88 million bits
Mon May 25 06:09:03 2009  initial square root is modulo 3720209
Mon May 25 06:11:10 2009  sqrtTime: 951
Mon May 25 06:11:10 2009  prp36 factor: 832195583129323149983272972560380221
Mon May 25 06:11:10 2009  prp68 factor: 62560018490695800182384977161797681356057234677991482841691500909777
Mon May 25 06:11:10 2009  elapsed time 00:37:24
total time 6.5 hours
software ソフトウェア
GGNFS / Msieve v. 1.41
execution environment 実行環境
Intel Core 2 Duo T8100 / Windows Vista 32 bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)

56×10150+619

c125

name 名前Jo Yeong Uk
date 日付May 26, 2009 07:39:46 UTC 2009 年 5 月 26 日 (火) 16 時 39 分 46 秒 (日本時間)
composite number 合成数
63396421471248701503774582755485442858010065898672575389777263502026078279011714548384334671616138564383032169071703329762649<125>
prime factors 素因数
45880006269511777788728871269771814767906863056900086357<56>
1381787550307658684570025101538845151921121612343299356704173071667957<70>
factorization results 素因数分解の結果
Number: 62229_150
N=63396421471248701503774582755485442858010065898672575389777263502026078279011714548384334671616138564383032169071703329762649
  ( 125 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=45880006269511777788728871269771814767906863056900086357
 r2=1381787550307658684570025101538845151921121612343299356704173071667957
Version: 
Total time: 6.36 hours.
Scaled time: 15.22 units (timescale=2.392).
Factorization parameters were as follows:
n: 63396421471248701503774582755485442858010065898672575389777263502026078279011714548384334671616138564383032169071703329762649
m: 2000000000000000000000000000000
deg: 5
c5: 7
c0: 244
skew: 2.03
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 1600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 6678090
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 359761 x 360009
Total sieving time: 5.85 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 0.27 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2000000,2000000,27,27,49,49,2.4,2.4,100000
total time: 6.36 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.. 5347.58 BogoMIPS (lpj=2673793)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672305)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
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 KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)

56×10152+619

c145

name 名前Erik Branger
date 日付May 25, 2009 13:36:38 UTC 2009 年 5 月 25 日 (月) 22 時 36 分 38 秒 (日本時間)
composite number 合成数
1503312590500038735667605340685597105228362778194910781070160400991731987189282303834147407838462606496989347686173782112398161179071967399369331<145>
prime factors 素因数
28942433849206367671246614943001<32>
595936129032331976442960402461375031323194639<45>
87159459781777493595426241904554628150888105525357079878608434976229<68>
factorization results 素因数分解の結果
Number: 62229_152
N=1503312590500038735667605340685597105228362778194910781070160400991731987189282303834147407838462606496989347686173782112398161179071967399369331
  ( 145 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=28942433849206367671246614943001 (pp32)
 r2=595936129032331976442960402461375031323194639 (pp45)
 r3=87159459781777493595426241904554628150888105525357079878608434976229 (pp68)
Version: Msieve v. 1.41
Total time: 23.52 hours.
Scaled time: 21.85 units (timescale=0.929).
Factorization parameters were as follows:
n: 1503312590500038735667605340685597105228362778194910781070160400991731987189282303834147407838462606496989347686173782112398161179071967399369331
m: 2000000000000000000000000000000
deg: 5
c5: 175
c0: 61
skew: 0.81
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 417187 x 417435
Total sieving time: 22.71 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.56 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 23.52 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 KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)

56×10155+619

c129

name 名前Robert Backstrom
date 日付May 28, 2009 01:04:12 UTC 2009 年 5 月 28 日 (木) 10 時 4 分 12 秒 (日本時間)
composite number 合成数
107819948007992181599739919757114454654783869201061103982701027821480434645578678954568874887411940205225700015025344436526903523<129>
prime factors 素因数
177021412931799064494121309758465332060558628233<48>
609078564125640040336170484954565150827351856308547897231649778954045702279685131<81>
factorization results 素因数分解の結果
Number: n
N=107819948007992181599739919757114454654783869201061103982701027821480434645578678954568874887411940205225700015025344436526903523
  ( 129 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=177021412931799064494121309758465332060558628233 (pp48)
 r2=609078564125640040336170484954565150827351856308547897231649778954045702279685131 (pp81)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 16.46 hours.
Scaled time: 43.60 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_6_2_154_9
n: 107819948007992181599739919757114454654783869201061103982701027821480434645578678954568874887411940205225700015025344436526903523
m: 10000000000000000000000000000000
deg: 5
c5: 56
c0: 61
skew: 1.02
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [1500000, 2400001)
Primes: RFBsize:216816, AFBsize:216332, largePrimes:13126010 encountered
Relations: rels:12952716, finalFF:813070
Max relations in full relation-set: 28
Initial matrix: 433214 x 813070 with sparse part having weight 92819045.
Pruned matrix : 311917 x 314147 with weight 40066358.
Total sieving time: 15.57 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.49 hours.
Total square root time: 0.13 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,56,56,2.4,2.4,100000
total time: 16.46 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 KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)
786Jo Yeong UkMay 26, 2009 11:20:20 UTC 2009 年 5 月 26 日 (火) 20 時 20 分 20 秒 (日本時間)

56×10157+619

c137

name 名前Robert Backstrom
date 日付May 27, 2009 12:44:49 UTC 2009 年 5 月 27 日 (水) 21 時 44 分 49 秒 (日本時間)
composite number 合成数
33324574631226893870084125839523117530322491594485773868792919061646457590097800036857175718446511341481511144550053544984125841384955847<137>
prime factors 素因数
14069154013962149347549891861752751330227218953<47>
2368626755962424844786981424733173785115155651413561625293563213425932855103394297861451599<91>
factorization results 素因数分解の結果
Number: n
N=33324574631226893870084125839523117530322491594485773868792919061646457590097800036857175718446511341481511144550053544984125841384955847
  ( 137 digits)
SNFS difficulty: 158 digits.
Divisors found:

Wed May 27 21:27:35 2009  prp47 factor: 14069154013962149347549891861752751330227218953
Wed May 27 21:27:35 2009  prp91 factor: 2368626755962424844786981424733173785115155651413561625293563213425932855103394297861451599
Wed May 27 21:27:35 2009  elapsed time 00:35:53 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 18.00 hours.
Scaled time: 47.68 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_6_2_156_9
n: 33324574631226893870084125839523117530322491594485773868792919061646457590097800036857175718446511341481511144550053544984125841384955847
m: 20000000000000000000000000000000
deg: 5
c5: 175
c0: 61
skew: 0.81
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1500000, 2631523)
Primes: RFBsize:216816, AFBsize:216897, largePrimes:12484526 encountered
Relations: rels:11502437, finalFF:462209
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1021111 hash collisions in 12654905 relations
Msieve: matrix is 530829 x 531077 (142.1 MB)

Total sieving time: 17.74 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,56,56,2.4,2.4,100000
total time: 18.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)

56×10158+619

c139

name 名前Robert Backstrom
date 日付May 28, 2009 00:39:25 UTC 2009 年 5 月 28 日 (木) 9 時 39 分 25 秒 (日本時間)
composite number 合成数
7440839869861936630058067963126918327949604224644175519468827650795213963955279495313110552543506489514537808067602830238665387271519536103<139>
prime factors 素因数
124878684080187282583724105767405939123035029<45>
59584547392283647789639726101806207148068690320073897315957313077500509015687698972674356372107<95>
factorization results 素因数分解の結果
Number: n
N=7440839869861936630058067963126918327949604224644175519468827650795213963955279495313110552543506489514537808067602830238665387271519536103
  ( 139 digits)
SNFS difficulty: 160 digits.
Divisors found:

Thu May 28 06:18:05 2009  prp45 factor: 124878684080187282583724105767405939123035029
Thu May 28 06:18:05 2009  prp95 factor: 59584547392283647789639726101806207148068690320073897315957313077500509015687698972674356372107
Thu May 28 06:18:05 2009  elapsed time 01:01:35 (Msieve 1.39 - dependency 4)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 26.13 hours.
Scaled time: 69.22 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_6_2_157_9
n: 7440839869861936630058067963126918327949604224644175519468827650795213963955279495313110552543506489514537808067602830238665387271519536103
m: 40000000000000000000000000000000
deg: 5
c5: 875
c0: 976
skew: 1.02
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1700000, 3337129)
Primes: RFBsize:243539, AFBsize:243630, largePrimes:13449259 encountered
Relations: rels:12430495, finalFF:445077
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1223572 hash collisions in 13440933 relations
Msieve: matrix is 683080 x 683328 (182.1 MB)

Total sieving time: 25.77 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3400000,3400000,28,28,56,56,2.4,2.4,100000
total time: 26.13 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 KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)

56×10159+619

c146

name 名前Serge Batalov
date 日付May 24, 2009 19:40:53 UTC 2009 年 5 月 25 日 (月) 4 時 40 分 53 秒 (日本時間)
composite number 合成数
32429469290259295721500032976315840550704119989648425923847347171523885255125672729387614685686023882831257323691561980495041729494335115978057587<146>
prime factors 素因数
1017640607768771362296572005537507<34>
composite cofactor 合成数の残り
31867310563954942460860793410742458897721802139714768023254519185323949327123209616553915892182082536506231931441<113>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2708368817
Step 1 took 9001ms
Step 2 took 5336ms
********** Factor found in step 2: 1017640607768771362296572005537507
Found probable prime factor of 34 digits: 1017640607768771362296572005537507
Composite cofactor has 113 digits
software ソフトウェア
GMP-ECM 6.2.3

c113

name 名前Jo Yeong Uk
date 日付May 27, 2009 05:15:37 UTC 2009 年 5 月 27 日 (水) 14 時 15 分 37 秒 (日本時間)
composite number 合成数
31867310563954942460860793410742458897721802139714768023254519185323949327123209616553915892182082536506231931441<113>
prime factors 素因数
193908127945844596110201403564697754328536812293850033<54>
164342314587529651585996443231840529788907444242118587893377<60>
factorization results 素因数分解の結果
Number: 62229_159
N=31867310563954942460860793410742458897721802139714768023254519185323949327123209616553915892182082536506231931441
  ( 113 digits)
Divisors found:
 r1=193908127945844596110201403564697754328536812293850033
 r2=164342314587529651585996443231840529788907444242118587893377
Version: 
Total time: 12.13 hours.
Scaled time: 28.98 units (timescale=2.389).
Factorization parameters were as follows:
name: 62229_159
n: 31867310563954942460860793410742458897721802139714768023254519185323949327123209616553915892182082536506231931441
skew: 27061.66
# norm 9.39e+14
c5: 23940
c4: 884131582
c3: -60546641862666
c2: -320075720127746262
c1: 16417652371480033255285
c0: 116175128751983383521569019
# alpha -4.98
Y1: 1292890423231
Y0: -4215443468428684833628
# Murphy_E 7.52e-10
# M 15723322497422548827044109855298921437946360103556637207250493316262810669984092035138974002790496204291964433993
type: gnfs
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [1200000, 2100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8284318
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 452570 x 452818
Polynomial selection time: 1.01 hours.
Total sieving time: 10.02 hours.
Total relation processing time: 0.59 hours.
Matrix solve time: 0.43 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,27,27,51,51,2.6,2.6,60000
total time: 12.13 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.. 5347.58 BogoMIPS (lpj=2673793)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672305)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
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 KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)
786Jo Yeong UkMay 26, 2009 11:20:57 UTC 2009 年 5 月 26 日 (火) 20 時 20 分 57 秒 (日本時間)

56×10161+619

c161

name 名前Sinkiti Sibata
date 日付May 28, 2009 03:02:23 UTC 2009 年 5 月 28 日 (木) 12 時 2 分 23 秒 (日本時間)
composite number 合成数
16816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816817<161>
prime factors 素因数
13048995793706679358357176909020251049647095744876594597880337395921<68>
1288744136535571334391285850180075374337949769163721716371914833115868776095281688468705962977<94>
factorization results 素因数分解の結果
Number: 62229_161
N=16816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816817
  ( 161 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=13048995793706679358357176909020251049647095744876594597880337395921 (pp68)
 r2=1288744136535571334391285850180075374337949769163721716371914833115868776095281688468705962977 (pp94)
Version: Msieve-1.40
Total time: 45.84 hours.
Scaled time: 95.57 units (timescale=2.085).
Factorization parameters were as follows:
name: 62229_161
n: 16816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816817
m: 200000000000000000000000000000000
deg: 5
c5: 35
c0: 122
skew: 1.28
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1850000, 3650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 660498 x 660746
Total sieving time: 43.92 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 1.59 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 45.84 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 KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)

56×10162+619

c131

name 名前Sinkiti Sibata
date 日付May 31, 2009 04:52:44 UTC 2009 年 5 月 31 日 (日) 13 時 52 分 44 秒 (日本時間)
composite number 合成数
84506049300019045541148664177605664932560143115156293509081093839740279885169035460356133555067936173292757082359105087321508927479<131>
prime factors 素因数
58777162300699886134806717903601862679409189<44>
1437736120496800403800748865253742711720255061341109233283383300163142470662643993317611<88>
factorization results 素因数分解の結果
Number: 62229_162
N=84506049300019045541148664177605664932560143115156293509081093839740279885169035460356133555067936173292757082359105087321508927479
  ( 131 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=58777162300699886134806717903601862679409189 (pp44)
 r2=1437736120496800403800748865253742711720255061341109233283383300163142470662643993317611 (pp88)
Version: Msieve-1.40
Total time: 40.03 hours.
Scaled time: 83.47 units (timescale=2.085).
Factorization parameters were as follows:
name: 62229_162
n: 84506049300019045541148664177605664932560143115156293509081093839740279885169035460356133555067936173292757082359105087321508927479
m: 200000000000000000000000000000000
deg: 5
c5: 175
c0: 61
skew: 0.81
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, 3400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 732299 x 732547
Total sieving time: 37.56 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.01 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 40.03 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 KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)
786Jo Yeong UkMay 27, 2009 03:10:21 UTC 2009 年 5 月 27 日 (水) 12 時 10 分 21 秒 (日本時間)

56×10163+619

c141

name 名前Robert Backstrom
date 日付May 30, 2009 16:08:39 UTC 2009 年 5 月 31 日 (日) 1 時 8 分 39 秒 (日本時間)
composite number 合成数
116300761992895442277851487983159703948805793485901191608307239656827728210759065722462137843313433918613770797238045307858287214837429547741<141>
prime factors 素因数
42597891454673060505110716648489489874029<41>
2730199970499644357975731595205926704022982681290973431824354119749840881511693404859673560174062129<100>
factorization results 素因数分解の結果
Number: n
N=116300761992895442277851487983159703948805793485901191608307239656827728210759065722462137843313433918613770797238045307858287214837429547741
  ( 141 digits)
SNFS difficulty: 165 digits.
Divisors found:

Sun May 31 01:41:53 2009  prp41 factor: 42597891454673060505110716648489489874029
Sun May 31 01:41:53 2009  prp100 factor: 2730199970499644357975731595205926704022982681290973431824354119749840881511693404859673560174062129
Sun May 31 01:41:53 2009  elapsed time 01:13:17 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 45.29 hours.
Scaled time: 82.02 units (timescale=1.811).
Factorization parameters were as follows:
name: KA_6_2_162_9
n: 116300761992895442277851487983159703948805793485901191608307239656827728210759065722462137843313433918613770797238045307858287214837429547741
m: 400000000000000000000000000000000
deg: 5
c5: 875
c0: 976
skew: 1.02
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2000000, 4800193)
Primes: RFBsize:283146, AFBsize:283248, largePrimes:16000975 encountered
Relations: rels:15979828, finalFF:489412
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2015568 hash collisions in 17683124 relations
Msieve: matrix is 693919 x 694167 (182.0 MB)

Total sieving time: 44.58 hours.
Total relation processing time: 0.71 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4000000,4000000,28,28,56,56,2.4,2.4,100000
total time: 45.29 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 KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)

56×10164+619

c135

name 名前Jo Yeong Uk
date 日付June 3, 2009 00:35:25 UTC 2009 年 6 月 3 日 (水) 9 時 35 分 25 秒 (日本時間)
composite number 合成数
189620683988007866952443937748701417479265735985124731986169809683284375738554208691520381887964237839718019582607285916537475810300171<135>
prime factors 素因数
6359269268231973633385412363501308099138996129477289618088897243227<67>
29817998891046624165279119258269213521683566428481920044352290969873<68>
factorization results 素因数分解の結果
Number: 62229_164
N=189620683988007866952443937748701417479265735985124731986169809683284375738554208691520381887964237839718019582607285916537475810300171
  ( 135 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=6359269268231973633385412363501308099138996129477289618088897243227
 r2=29817998891046624165279119258269213521683566428481920044352290969873
Version: 
Total time: 25.86 hours.
Scaled time: 61.83 units (timescale=2.391).
Factorization parameters were as follows:
n: 189620683988007866952443937748701417479265735985124731986169809683284375738554208691520381887964237839718019582607285916537475810300171
m: 1000000000000000000000000000000000
deg: 5
c5: 28
c0: 305
skew: 1.61
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2400000, 4500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9806459
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 818905 x 819153
Total sieving time: 23.34 hours.
Total relation processing time: 1.00 hours.
Matrix solve time: 1.43 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,51,51,2.4,2.4,100000
total time: 25.86 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.. 5347.58 BogoMIPS (lpj=2673793)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672305)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
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 KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)
786Jo Yeong UkJune 1, 2009 01:00:16 UTC 2009 年 6 月 1 日 (月) 10 時 0 分 16 秒 (日本時間)

56×10165+619

c147

name 名前Jo Yeong Uk
date 日付May 27, 2009 06:44:34 UTC 2009 年 5 月 27 日 (水) 15 時 44 分 34 秒 (日本時間)
composite number 合成数
792967413583600859697370064059829457020793249634680186515285950164270324042605059768528085343798618048347992595494171085194377886539401081974474027<147>
prime factors 素因数
57659426044021677634098200461896179<35>
13752606780688174685773011147018886593941074896390490689917340604450663623768311804047072834136008067972436430313<113>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 792967413583600859697370064059829457020793249634680186515285950164270324042605059768528085343798618048347992595494171085194377886539401081974474027 (147 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=5746488418
Step 1 took 4059ms
Step 2 took 2476ms
********** Factor found in step 2: 57659426044021677634098200461896179
Found probable prime factor of 35 digits: 57659426044021677634098200461896179
Probable prime cofactor 13752606780688174685773011147018886593941074896390490689917340604450663623768311804047072834136008067972436430313 has 113 digits
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 KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)

56×10168+619

c166

name 名前Robert Backstrom
date 日付June 3, 2009 07:34:11 UTC 2009 年 6 月 3 日 (水) 16 時 34 分 11 秒 (日本時間)
composite number 合成数
1446019572907790430449040720944044206884086038164588013530611717922896170630309603119270792986805071397216412322152503421385596612182714901748134376533168073953572443<166>
prime factors 素因数
96209819631831239463458686211657549363576689560960517<53>
15029854316755953449386612574288835256536189192545473764862710443914088338103651872711772544550625231249480134879<113>
factorization results 素因数分解の結果
Number: n
N=1446019572907790430449040720944044206884086038164588013530611717922896170630309603119270792986805071397216412322152503421385596612182714901748134376533168073953572443
  ( 166 digits)
SNFS difficulty: 170 digits.
Divisors found:

Wed Jun 03 17:30:16 2009  prp53 factor: 96209819631831239463458686211657549363576689560960517
Wed Jun 03 17:30:16 2009  prp113 factor: 15029854316755953449386612574288835256536189192545473764862710443914088338103651872711772544550625231249480134879
Wed Jun 03 17:30:16 2009  elapsed time 01:53:45 (Msieve 1.39 - dependency 3)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 63.55 hours.
Scaled time: 167.40 units (timescale=2.634).
Factorization parameters were as follows:
name: KA_6_2_167_9
n: 1446019572907790430449040720944044206884086038164588013530611717922896170630309603119270792986805071397216412322152503421385596612182714901748134376533168073953572443
m: 4000000000000000000000000000000000
deg: 5
c5: 875
c0: 976
skew: 1.02
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2500000, 6236533)
Primes: RFBsize:348513, AFBsize:348732, largePrimes:17394588 encountered
Relations: rels:17199344, finalFF:648711
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2276774 hash collisions in 19262903 relations
Msieve: matrix is 898230 x 898478 (237.4 MB)

Total sieving time: 62.63 hours.
Total relation processing time: 0.92 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,56,56,2.4,2.4,100000
total time: 63.55 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)

56×10169+619

c161

name 名前Robert Backstrom
date 日付June 7, 2009 19:10:54 UTC 2009 年 6 月 8 日 (月) 4 時 10 分 54 秒 (日本時間)
composite number 合成数
10853369863331184124031483771365186333201545340097971388628670188884701563828629413905976457174413200556159317183157365669906297429153018284425120160496591494417<161>
prime factors 素因数
424274908169666727454295410341629377361<39>
744256981543256710605164151127424339141<39>
142246468831973644407334999953831883982951<42>
241631107074584670119388266251172464439467<42>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 10853369863331184124031483771365186333201545340097971388628670188884701563828629413905976457174413200556159317183157365669906297429153018284425120160496591494417 (161 digits)
Using B1=3094000, B2=5707048630, polynomial Dickson(6), sigma=3228879520
Step 1 took 52338ms
Step 2 took 16848ms
********** Factor found in step 2: 424274908169666727454295410341629377361
Found probable prime factor of 39 digits: 424274908169666727454295410341629377361
Composite cofactor 25580984532299850721733509754897028278292393878345135113886787454119781358631871189418843479083638795833911078559833986497 has 122 digits


Number: n
N=25580984532299850721733509754897028278292393878345135113886787454119781358631871189418843479083638795833911078559833986497
  ( 122 digits)
SNFS difficulty: 171 digits.
Divisors found:

Mon Jun 08 05:04:28 2009  prp39 factor: 744256981543256710605164151127424339141
Mon Jun 08 05:04:28 2009  prp42 factor: 142246468831973644407334999953831883982951
Mon Jun 08 05:04:28 2009  prp42 factor: 241631107074584670119388266251172464439467
Mon Jun 08 05:04:28 2009  elapsed time 01:46:24 (Msieve 1.39 - dependency 3)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 57.37 hours.
Scaled time: 151.98 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_6_2_168_9

# n: 10853369863331184124031483771365186333201545340097971388628670188884701563828629413905976457174413200556159317183157365669906297429153018284425120160496591494417

n: 25580984532299850721733509754897028278292393878345135113886787454119781358631871189418843479083638795833911078559833986497

m: 10000000000000000000000000000000000
deg: 5
c5: 28
c0: 305
skew: 1.61
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2500000, 5711327)
Primes: RFBsize:348513, AFBsize:348667, largePrimes:17581904 encountered
Relations: rels:17491753, finalFF:578623
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2140410 hash collisions in 19295644 relations
Msieve: matrix is 855294 x 855542 (227.4 MB)

Total sieving time: 56.51 hours.
Total relation processing time: 0.86 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,56,56,2.4,2.4,100000
total time: 57.37 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 KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)

56×10170+619

c145

name 名前Serge Batalov
date 日付May 24, 2009 19:41:46 UTC 2009 年 5 月 25 日 (月) 4 時 41 分 46 秒 (日本時間)
composite number 合成数
4159140177505001951373274552169453849148991413042977317164043706847782860975257385647361146858033613385686245600807028737483482903888492322626737<145>
prime factors 素因数
50323262668560143510940878296447111<35>
composite cofactor 合成数の残り
82648460313433883981241425769067111639470813131991163858925087068467532014766035327819208292972854598269167367<110>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3826816614
Step 1 took 9036ms
Step 2 took 4981ms
********** Factor found in step 2: 50323262668560143510940878296447111
Found probable prime factor of 35 digits: 50323262668560143510940878296447111
Composite cofactor has 110 digits
software ソフトウェア
GMP-ECM 6.2.3

c110

name 名前Andreas Tete
date 日付May 26, 2009 20:13:45 UTC 2009 年 5 月 27 日 (水) 5 時 13 分 45 秒 (日本時間)
composite number 合成数
82648460313433883981241425769067111639470813131991163858925087068467532014766035327819208292972854598269167367<110>
prime factors 素因数
311370498917197796572412633772014554924884165146521673<54>
265434460235786313700762170596984220117945146644969782479<57>
factorization results 素因数分解の結果
Tue May 26 20:45:04 2009  Msieve v. 1.41
Tue May 26 20:45:04 2009  random seeds: 359fae64 86e64e80
Tue May 26 20:45:04 2009  factoring 82648460313433883981241425769067111639470813131991163858925087068467532014766035327819208292972854598269167367 (110 digits)
Tue May 26 20:45:05 2009  searching for 15-digit factors
Tue May 26 20:45:07 2009  commencing number field sieve (110-digit input)
Tue May 26 20:45:07 2009  R0: -2247903484810375378741
Tue May 26 20:45:07 2009  R1:  231928949747
Tue May 26 20:45:07 2009  A0: -930670227212751277904443904
Tue May 26 20:45:07 2009  A1:  60489629810981899875608
Tue May 26 20:45:07 2009  A2:  3167107438421659766
Tue May 26 20:45:07 2009  A3: -20947784407893
Tue May 26 20:45:07 2009  A4: -515063582
Tue May 26 20:45:07 2009  A5:  1440
Tue May 26 20:45:07 2009  skew 76520.28, size 1.840075e-010, alpha -6.218085, combined = 1.066739e-009
Tue May 26 20:45:07 2009  
Tue May 26 20:45:07 2009  commencing relation filtering
Tue May 26 20:45:07 2009  commencing duplicate removal, pass 1
Tue May 26 20:46:08 2009  found 565242 hash collisions in 5755946 relations
Tue May 26 20:46:25 2009  added 43793 free relations
Tue May 26 20:46:25 2009  commencing duplicate removal, pass 2
Tue May 26 20:46:33 2009  found 554761 duplicates and 5244977 unique relations
Tue May 26 20:46:33 2009  memory use: 41.3 MB
Tue May 26 20:46:33 2009  reading rational ideals above 3080192
Tue May 26 20:46:33 2009  reading algebraic ideals above 3080192
Tue May 26 20:46:33 2009  commencing singleton removal, pass 1
Tue May 26 20:47:24 2009  relations with 0 large ideals: 110843
Tue May 26 20:47:24 2009  relations with 1 large ideals: 727001
Tue May 26 20:47:24 2009  relations with 2 large ideals: 1746135
Tue May 26 20:47:24 2009  relations with 3 large ideals: 1813514
Tue May 26 20:47:24 2009  relations with 4 large ideals: 731433
Tue May 26 20:47:24 2009  relations with 5 large ideals: 72669
Tue May 26 20:47:24 2009  relations with 6 large ideals: 43366
Tue May 26 20:47:24 2009  relations with 7+ large ideals: 16
Tue May 26 20:47:24 2009  5244977 relations and about 5339068 large ideals
Tue May 26 20:47:24 2009  commencing singleton removal, pass 2
Tue May 26 20:48:16 2009  found 2357815 singletons
Tue May 26 20:48:16 2009  current dataset: 2887162 relations and about 2364014 large ideals
Tue May 26 20:48:16 2009  commencing singleton removal, pass 3
Tue May 26 20:48:47 2009  found 586582 singletons
Tue May 26 20:48:47 2009  current dataset: 2300580 relations and about 1730089 large ideals
Tue May 26 20:48:47 2009  commencing singleton removal, pass 4
Tue May 26 20:49:13 2009  found 178268 singletons
Tue May 26 20:49:13 2009  current dataset: 2122312 relations and about 1546296 large ideals
Tue May 26 20:49:13 2009  commencing singleton removal, final pass
Tue May 26 20:49:38 2009  memory use: 33.4 MB
Tue May 26 20:49:38 2009  commencing in-memory singleton removal
Tue May 26 20:49:38 2009  begin with 2122312 relations and 1598652 unique ideals
Tue May 26 20:49:40 2009  reduce to 1891073 relations and 1363286 ideals in 13 passes
Tue May 26 20:49:40 2009  max relations containing the same ideal: 38
Tue May 26 20:49:41 2009  reading rational ideals above 720000
Tue May 26 20:49:41 2009  reading algebraic ideals above 720000
Tue May 26 20:49:41 2009  commencing singleton removal, final pass
Tue May 26 20:50:17 2009  keeping 1720791 ideals with weight <= 20, new excess is 192649
Tue May 26 20:50:19 2009  memory use: 47.9 MB
Tue May 26 20:50:19 2009  commencing in-memory singleton removal
Tue May 26 20:50:20 2009  begin with 1909274 relations and 1720791 unique ideals
Tue May 26 20:50:22 2009  reduce to 1881367 relations and 1603481 ideals in 12 passes
Tue May 26 20:50:22 2009  max relations containing the same ideal: 20
Tue May 26 20:50:23 2009  removing 233093 relations and 205886 ideals in 27207 cliques
Tue May 26 20:50:23 2009  commencing in-memory singleton removal
Tue May 26 20:50:23 2009  begin with 1648274 relations and 1603481 unique ideals
Tue May 26 20:50:25 2009  reduce to 1629103 relations and 1378053 ideals in 8 passes
Tue May 26 20:50:25 2009  max relations containing the same ideal: 20
Tue May 26 20:50:26 2009  removing 173083 relations and 145876 ideals in 27207 cliques
Tue May 26 20:50:26 2009  commencing in-memory singleton removal
Tue May 26 20:50:26 2009  begin with 1456020 relations and 1378053 unique ideals
Tue May 26 20:50:27 2009  reduce to 1443057 relations and 1219015 ideals in 7 passes
Tue May 26 20:50:27 2009  max relations containing the same ideal: 20
Tue May 26 20:50:28 2009  relations with 0 large ideals: 14707
Tue May 26 20:50:28 2009  relations with 1 large ideals: 104047
Tue May 26 20:50:28 2009  relations with 2 large ideals: 298920
Tue May 26 20:50:28 2009  relations with 3 large ideals: 443932
Tue May 26 20:50:28 2009  relations with 4 large ideals: 362506
Tue May 26 20:50:28 2009  relations with 5 large ideals: 166027
Tue May 26 20:50:28 2009  relations with 6 large ideals: 45752
Tue May 26 20:50:28 2009  relations with 7+ large ideals: 7166
Tue May 26 20:50:28 2009  commencing 2-way merge
Tue May 26 20:50:29 2009  reduce to 869629 relation sets and 645587 unique ideals
Tue May 26 20:50:29 2009  commencing full merge
Tue May 26 20:50:40 2009  memory use: 50.0 MB
Tue May 26 20:50:40 2009  found 408007 cycles, need 379787
Tue May 26 20:50:40 2009  weight of 379787 cycles is about 26862121 (70.73/cycle)
Tue May 26 20:50:40 2009  distribution of cycle lengths:
Tue May 26 20:50:40 2009  1 relations: 41647
Tue May 26 20:50:40 2009  2 relations: 38819
Tue May 26 20:50:40 2009  3 relations: 38644
Tue May 26 20:50:40 2009  4 relations: 36329
Tue May 26 20:50:40 2009  5 relations: 33244
Tue May 26 20:50:40 2009  6 relations: 29893
Tue May 26 20:50:40 2009  7 relations: 26931
Tue May 26 20:50:40 2009  8 relations: 23810
Tue May 26 20:50:40 2009  9 relations: 20729
Tue May 26 20:50:40 2009  10+ relations: 89741
Tue May 26 20:50:40 2009  heaviest cycle: 20 relations
Tue May 26 20:50:40 2009  commencing cycle optimization
Tue May 26 20:50:41 2009  start with 2422138 relations
Tue May 26 20:50:47 2009  pruned 76207 relations
Tue May 26 20:50:47 2009  memory use: 61.9 MB
Tue May 26 20:50:47 2009  distribution of cycle lengths:
Tue May 26 20:50:47 2009  1 relations: 41647
Tue May 26 20:50:47 2009  2 relations: 39915
Tue May 26 20:50:47 2009  3 relations: 40326
Tue May 26 20:50:47 2009  4 relations: 37675
Tue May 26 20:50:47 2009  5 relations: 34547
Tue May 26 20:50:47 2009  6 relations: 30630
Tue May 26 20:50:47 2009  7 relations: 27402
Tue May 26 20:50:47 2009  8 relations: 24036
Tue May 26 20:50:47 2009  9 relations: 20893
Tue May 26 20:50:47 2009  10+ relations: 82716
Tue May 26 20:50:47 2009  heaviest cycle: 19 relations
Tue May 26 20:50:48 2009  RelProcTime: 320
Tue May 26 20:50:48 2009  
Tue May 26 20:50:48 2009  commencing linear algebra
Tue May 26 20:50:48 2009  read 379787 cycles
Tue May 26 20:50:49 2009  cycles contain 1272344 unique relations
Tue May 26 20:51:05 2009  read 1272344 relations
Tue May 26 20:51:07 2009  using 20 quadratic characters above 134156108
Tue May 26 20:51:15 2009  building initial matrix
Tue May 26 20:51:32 2009  memory use: 140.2 MB
Tue May 26 20:51:33 2009  read 379787 cycles
Tue May 26 20:51:33 2009  matrix is 379562 x 379787 (107.2 MB) with weight 35505175 (93.49/col)
Tue May 26 20:51:33 2009  sparse part has weight 25441017 (66.99/col)
Tue May 26 20:51:39 2009  filtering completed in 3 passes
Tue May 26 20:51:40 2009  matrix is 377431 x 377631 (106.8 MB) with weight 35365680 (93.65/col)
Tue May 26 20:51:40 2009  sparse part has weight 25363858 (67.17/col)
Tue May 26 20:51:41 2009  read 377631 cycles
Tue May 26 20:51:43 2009  matrix is 377431 x 377631 (106.8 MB) with weight 35365680 (93.65/col)
Tue May 26 20:51:43 2009  sparse part has weight 25363858 (67.17/col)
Tue May 26 20:51:43 2009  saving the first 48 matrix rows for later
Tue May 26 20:51:43 2009  matrix is 377383 x 377631 (102.1 MB) with weight 28015668 (74.19/col)
Tue May 26 20:51:43 2009  sparse part has weight 24504348 (64.89/col)
Tue May 26 20:51:43 2009  matrix includes 64 packed rows
Tue May 26 20:51:43 2009  using block size 65536 for processor cache size 3072 kB
Tue May 26 20:51:47 2009  commencing Lanczos iteration
Tue May 26 20:51:47 2009  memory use: 99.5 MB
Tue May 26 21:12:00 2009  lanczos halted after 5969 iterations (dim = 377383)
Tue May 26 21:12:01 2009  recovered 29 nontrivial dependencies
Tue May 26 21:12:01 2009  BLanczosTime: 1273
Tue May 26 21:12:01 2009  
Tue May 26 21:12:01 2009  commencing square root phase
Tue May 26 21:12:01 2009  reading relations for dependency 1
Tue May 26 21:12:02 2009  read 188904 cycles
Tue May 26 21:12:02 2009  cycles contain 784422 unique relations
Tue May 26 21:12:34 2009  read 784422 relations
Tue May 26 21:12:38 2009  multiplying 635546 relations
Tue May 26 21:14:11 2009  multiply complete, coefficients have about 25.40 million bits
Tue May 26 21:14:12 2009  initial square root is modulo 19765799
Tue May 26 21:16:27 2009  sqrtTime: 266
Tue May 26 21:16:27 2009  prp54 factor: 311370498917197796572412633772014554924884165146521673
Tue May 26 21:16:27 2009  prp57 factor: 265434460235786313700762170596984220117945146644969782479
Tue May 26 21:16:27 2009  elapsed time 00:31:23
total time ~ 29 hours
software ソフトウェア
GGNFS / Msieve v. 1.41
execution environment 実行環境
Intel Core 2 Duo T8100 / Windows Vista 32bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6663 / 904118Makoto KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)
545Andreas TeteMay 25, 2009 21:14:25 UTC 2009 年 5 月 26 日 (火) 6 時 14 分 25 秒 (日本時間)

56×10171+619

c149

name 名前Markus Tervooren
date 日付March 2, 2010 03:41:38 UTC 2010 年 3 月 2 日 (火) 12 時 41 分 38 秒 (日本時間)
composite number 合成数
19021990998340894882979573011226334732477095715656223847168656426675786568480670194957554593067117279989029738431965175375429385255483213369643663759<149>
prime factors 素因数
3486316067793190254418017275470236545631289457035931894167791588050797<70>
5456186595950739669062033493000160583693990757067492921134460907784839689347947<79>
factorization results 素因数分解の結果
Sieved ~280 CPU-hours

rlim: 4100000
alim: 4100000
lpbr: 24
lpba: 24
mfbr: 60
mfba: 60
rlambda: 2.9
alambda: 2.9

Msieve v. 1.44
Tue Mar  2 04:24:51 2010
random seeds: cb3deb5f ab063669
factoring 19021990998340894882979573011226334732477095715656223847168656426675786568480670194957554593067117279989029738431965175375429385255483213369643663759 (149 digits)
searching for 15-digit factors
commencing number field sieve (149-digit input)
R0: -10000000000000000000000000000000000
R1:  1
A0:  61
A1:  0
A2:  0
A3:  0
A4:  0
A5:  560
skew 0.64, size 3.442404e-12, alpha 0.392370, combined = 1.768685e-10

commencing relation filtering
estimated available RAM is 8010.2 MB
commencing duplicate removal, pass 1
found 576446 hash collisions in 2656180 relations
added 14 free relations
commencing duplicate removal, pass 2
found 619099 duplicates and 2037095 unique relations
memory use: 13.3 MB
reading ideals above 100000
commencing singleton removal, initial pass
memory use: 47.1 MB
reading all ideals from disk
memory use: 74.8 MB
keeping 1975109 ideals with weight <= 200, target excess is 19135
commencing in-memory singleton removal
begin with 2037095 relations and 1975109 unique ideals
reduce to 1553683 relations and 1449938 ideals in 10 passes
max relations containing the same ideal: 138
removing 185180 relations and 144406 ideals in 40774 cliques
commencing in-memory singleton removal
begin with 1368503 relations and 1449938 unique ideals
reduce to 1351253 relations and 1287699 ideals in 6 passes
max relations containing the same ideal: 131
removing 144972 relations and 104198 ideals in 40774 cliques
commencing in-memory singleton removal
begin with 1206281 relations and 1287699 unique ideals
reduce to 1194001 relations and 1170802 ideals in 5 passes
max relations containing the same ideal: 114
relations with 0 large ideals: 467
relations with 1 large ideals: 11
relations with 2 large ideals: 243
relations with 3 large ideals: 2939
relations with 4 large ideals: 18011
relations with 5 large ideals: 69847
relations with 6 large ideals: 191867
relations with 7+ large ideals: 910616
commencing 2-way merge
reduce to 921668 relation sets and 898469 unique ideals
commencing full merge
memory use: 118.7 MB
found 484305 cycles, need 480669
weight of 480669 cycles is about 33921232 (70.57/cycle)
distribution of cycle lengths:
1 relations: 57134
2 relations: 62587
3 relations: 60553
4 relations: 53323
5 relations: 47006
6 relations: 40433
7 relations: 34368
8 relations: 28410
9 relations: 23447
10+ relations: 73408
heaviest cycle: 22 relations
commencing cycle optimization
start with 2645161 relations
pruned 100319 relations
memory use: 76.9 MB
distribution of cycle lengths:
1 relations: 57134
2 relations: 64219
3 relations: 63543
4 relations: 55490
5 relations: 48766
6 relations: 41555
7 relations: 34611
8 relations: 28497
9 relations: 22820
10+ relations: 64034
heaviest cycle: 22 relations
RelProcTime: 72

commencing linear algebra
read 480669 cycles
cycles contain 1178790 unique relations
read 1178790 relations
using 20 quadratic characters above 16777200
building initial matrix
memory use: 156.1 MB
read 480669 cycles
matrix is 480492 x 480669 (143.2 MB) with weight 42101829 (87.59/col)
sparse part has weight 32250303 (67.09/col)
filtering completed in 2 passes
matrix is 480396 x 480573 (143.2 MB) with weight 42098976 (87.60/col)
sparse part has weight 32249399 (67.11/col)
read 480573 cycles
matrix is 480396 x 480573 (143.2 MB) with weight 42098976 (87.60/col)
sparse part has weight 32249399 (67.11/col)
saving the first 48 matrix rows for later
matrix is 480348 x 480573 (135.2 MB) with weight 33454723 (69.61/col)
sparse part has weight 30623032 (63.72/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (4 threads)
memory use: 142.4 MB
linear algebra at 1.3%, ETA 0h11m480573 dimensions (1.3%, ETA 0h11m)
linear algebra completed 178167 of 480573 dimensions (37.1%, ETA 0h 8m)
linear algebra completed 479764 of 480573 dimensions (99.8%, ETA 0h 0m)
lanczos halted after 7595 iterations (dim = 480345)
recovered 37 nontrivial dependencies
BLanczosTime: 810

commencing square root phase
reading relations for dependency 1
read 239981 cycles
cycles contain 589262 unique relations
read 589262 relations
multiplying 589262 relations
multiply complete, coefficients have about 18.58 million bits
initial square root is modulo 217421
sqrtTime: 50
prp70 factor: 3486316067793190254418017275470236545631289457035931894167791588050797
prp79 factor: 5456186595950739669062033493000160583693990757067492921134460907784839689347947
elapsed time 00:15:33

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiAugust 12, 2009 05:24:34 UTC 2009 年 8 月 12 日 (水) 14 時 24 分 34 秒 (日本時間)

56×10172+619

c154

name 名前Dmitry Domanov
date 日付May 5, 2010 04:02:51 UTC 2010 年 5 月 5 日 (水) 13 時 2 分 51 秒 (日本時間)
composite number 合成数
9363277301461713609033857975292637830321788104974490632550807525781838394422895449834763060095981639950478671997352176954833061905838727442356440890639647<154>
prime factors 素因数
1608877920801726641877450888786025088810725490344131521<55>
5819756229108955632211646162383721678767582506401082448521624041088945003683518039874229829464439007<100>
factorization results 素因数分解の結果
Number: qw4
N=9363277301461713609033857975292637830321788104974490632550807525781838394422895449834763060095981639950478671997352176954833061905838727442356440890639647
  ( 154 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=1608877920801726641877450888786025088810725490344131521 (pp55)
 r2=5819756229108955632211646162383721678767582506401082448521624041088945003683518039874229829464439007 (pp100)
Version: Msieve-1.40
Total time: 66.05 hours.
Scaled time: 127.35 units (timescale=1.928).
Factorization parameters were as follows:
n: 9363277301461713609033857975292637830321788104974490632550807525781838394422895449834763060095981639950478671997352176954833061905838727442356440890639647
m: 20000000000000000000000000000000000
deg: 5
c5: 175
c0: 61
skew: 0.81
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, 6250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 986797 x 987030
Total sieving time: 64.60 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.23 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 66.05 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 KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiAugust 14, 2009 04:15:34 UTC 2009 年 8 月 14 日 (金) 13 時 15 分 34 秒 (日本時間)
4511e60--
5043e61140 / 7465yoyo@homeFebruary 2, 2010 19:01:27 UTC 2010 年 2 月 3 日 (水) 4 時 1 分 27 秒 (日本時間)

56×10173+619

c123

name 名前Justin Card
date 日付June 14, 2009 02:12:00 UTC 2009 年 6 月 14 日 (日) 11 時 12 分 0 秒 (日本時間)
composite number 合成数
161786826623523873106331984288573086057036069356281984589662923023302881395583523319398596356535562638667735369803263428093<123>
prime factors 素因数
1076573811006174078255496603425369798195157247908414024513<58>
150279363077127682942036206681415950498349083088117034520490825661<66>
factorization results 素因数分解の結果
Sieving with ggnfs over 2 days.

post processing:

Fri Jun 12 19:58:59 2009  
Fri Jun 12 19:58:59 2009  
Fri Jun 12 19:58:59 2009  Msieve v. 1.41
Fri Jun 12 19:58:59 2009  random seeds: d4231cb1 94d197db
Fri Jun 12 19:58:59 2009  factoring 161786826623523873106331984288573086057036069356281984589662923023302881395583523319398596356535562638667735369803263428093 (123 digits)
Fri Jun 12 19:59:01 2009  searching for 15-digit factors
Fri Jun 12 19:59:01 2009  commencing number field sieve (123-digit input)
Fri Jun 12 19:59:01 2009  R0: -403531707038578195679824
Fri Jun 12 19:59:01 2009  R1:  18400543438849
Fri Jun 12 19:59:01 2009  A0:  288596986503835432574359753965
Fri Jun 12 19:59:01 2009  A1: -7558628649210801901609443
Fri Jun 12 19:59:01 2009  A2: -90495200746547881266
Fri Jun 12 19:59:01 2009  A3:  367691967788437
Fri Jun 12 19:59:01 2009  A4:  2322968419
Fri Jun 12 19:59:01 2009  A5:  15120
Fri Jun 12 19:59:01 2009  skew 1.00, size 1.029077e-11, alpha -6.403071, combined = 5.274824e-12
Fri Jun 12 19:59:02 2009  generating factor base
Fri Jun 12 19:59:07 2009  factor base complete:
Fri Jun 12 19:59:07 2009  424490 rational roots (max prime = 6181811)
Fri Jun 12 19:59:07 2009  425953 algebraic roots (max prime = 6181753)
Fri Jun 12 19:59:07 2009  a range: [-28363636, 28363636]
Fri Jun 12 19:59:07 2009  b range: [1, 4294967295]
Fri Jun 12 19:59:07 2009  number of hash buckets: 95
Fri Jun 12 19:59:07 2009  sieve block size: 65536
Fri Jun 12 19:59:07 2009  
Fri Jun 12 19:59:07 2009  maximum RFB prime: 6181811
Fri Jun 12 19:59:07 2009  RFB entries: 424490
Fri Jun 12 19:59:07 2009  medium RFB entries: 6542
Fri Jun 12 19:59:07 2009  resieved RFB entries: 6374
Fri Jun 12 19:59:07 2009  small RFB prime powers: 25
Fri Jun 12 19:59:07 2009  projective RFB roots: 5
Fri Jun 12 19:59:07 2009  RFB trial factoring cutoff: 59 or 88 bits
Fri Jun 12 19:59:07 2009  single large prime RFB range: 23 - 27 bits
Fri Jun 12 19:59:07 2009  double large prime RFB range: 46 - 52 bits
Fri Jun 12 19:59:07 2009  triple large prime RFB range: 71 - 79 bits
Fri Jun 12 19:59:07 2009  
Fri Jun 12 19:59:07 2009  maximum AFB prime: 6181753
Fri Jun 12 19:59:07 2009  AFB entries: 425953
Fri Jun 12 19:59:07 2009  medium AFB entries: 6520
Fri Jun 12 19:59:07 2009  resieved AFB entries: 6275
Fri Jun 12 19:59:07 2009  small AFB prime powers: 131
Fri Jun 12 19:59:07 2009  projective AFB roots: 4
Fri Jun 12 19:59:07 2009  AFB trial factoring cutoff: 59 or 88 bits
Fri Jun 12 19:59:07 2009  single large prime AFB range: 23 - 27 bits
Fri Jun 12 19:59:07 2009  double large prime AFB range: 46 - 52 bits
Fri Jun 12 19:59:07 2009  triple large prime AFB range: 71 - 79 bits
Fri Jun 12 19:59:07 2009  
Fri Jun 12 19:59:08 2009  multiplying 1639202 primes from 6181753 to 33554432
Fri Jun 12 19:59:40 2009  
Fri Jun 12 19:59:40 2009  
Fri Jun 12 19:59:40 2009  Msieve v. 1.41
Fri Jun 12 19:59:40 2009  random seeds: 2353b878 c382ae6b
Fri Jun 12 19:59:40 2009  factoring 161786826623523873106331984288573086057036069356281984589662923023302881395583523319398596356535562638667735369803263428093 (123 digits)
Fri Jun 12 19:59:42 2009  searching for 15-digit factors
Fri Jun 12 19:59:43 2009  commencing number field sieve (123-digit input)
Fri Jun 12 19:59:43 2009  R0: -403531707038578195679824
Fri Jun 12 19:59:43 2009  R1:  18400543438849
Fri Jun 12 19:59:43 2009  A0:  288596986503835432574359753965
Fri Jun 12 19:59:43 2009  A1: -7558628649210801901609443
Fri Jun 12 19:59:43 2009  A2: -90495200746547881266
Fri Jun 12 19:59:43 2009  A3:  367691967788437
Fri Jun 12 19:59:43 2009  A4:  2322968419
Fri Jun 12 19:59:43 2009  A5:  15120
Fri Jun 12 19:59:43 2009  skew 1.00, size 1.029077e-11, alpha -6.403071, combined = 5.274824e-12
Fri Jun 12 19:59:43 2009  
Fri Jun 12 19:59:43 2009  commencing relation filtering
Fri Jun 12 19:59:43 2009  commencing duplicate removal, pass 1
Fri Jun 12 19:59:43 2009  found 0 hash collisions in 0 relations
Fri Jun 12 19:59:43 2009  reading rational ideals above 327680
Fri Jun 12 19:59:43 2009  reading algebraic ideals above 327680
Fri Jun 12 19:59:43 2009  commencing singleton removal, pass 1
Fri Jun 12 19:59:43 2009  relations with 0 large ideals: 0
Fri Jun 12 19:59:43 2009  relations with 1 large ideals: 0
Fri Jun 12 19:59:43 2009  relations with 2 large ideals: 0
Fri Jun 12 19:59:43 2009  relations with 3 large ideals: 0
Fri Jun 12 19:59:43 2009  relations with 4 large ideals: 0
Fri Jun 12 19:59:43 2009  relations with 5 large ideals: 0
Fri Jun 12 19:59:43 2009  relations with 6 large ideals: 0
Fri Jun 12 19:59:43 2009  relations with 7+ large ideals: 0
Fri Jun 12 19:59:43 2009  0 relations and about 0 large ideals
Fri Jun 12 19:59:43 2009  commencing singleton removal, pass 2
Fri Jun 12 19:59:43 2009  found 0 singletons
Fri Jun 12 19:59:43 2009  current dataset: 0 relations and about 0 large ideals
Fri Jun 12 19:59:43 2009  commencing singleton removal, final pass
Fri Jun 12 19:59:43 2009  memory use: 0.1 MB
Fri Jun 12 19:59:43 2009  commencing in-memory singleton removal
Fri Jun 12 19:59:43 2009  begin with 0 relations and 0 unique ideals
Fri Jun 12 19:59:43 2009  reduce to 0 relations and 0 ideals in 1 passes
Fri Jun 12 19:59:43 2009  max relations containing the same ideal: 0
Fri Jun 12 19:59:44 2009  reading rational ideals above 100000
Fri Jun 12 19:59:44 2009  reading algebraic ideals above 100000
Fri Jun 12 19:59:44 2009  commencing singleton removal, final pass
Fri Jun 12 19:59:44 2009  keeping 0 ideals with weight <= 25, new excess is 19224
Fri Jun 12 20:00:21 2009  
Fri Jun 12 20:00:21 2009  
Fri Jun 12 20:00:21 2009  Msieve v. 1.41
Fri Jun 12 20:00:21 2009  random seeds: bf533eb4 9b4b30df
Fri Jun 12 20:00:21 2009  factoring 161786826623523873106331984288573086057036069356281984589662923023302881395583523319398596356535562638667735369803263428093 (123 digits)
Fri Jun 12 20:00:22 2009  searching for 15-digit factors
Fri Jun 12 20:00:23 2009  commencing number field sieve (123-digit input)
Fri Jun 12 20:00:23 2009  R0: -403531707038578195679824
Fri Jun 12 20:00:23 2009  R1:  18400543438849
Fri Jun 12 20:00:23 2009  A0:  288596986503835432574359753965
Fri Jun 12 20:00:23 2009  A1: -7558628649210801901609443
Fri Jun 12 20:00:23 2009  A2: -90495200746547881266
Fri Jun 12 20:00:23 2009  A3:  367691967788437
Fri Jun 12 20:00:23 2009  A4:  2322968419
Fri Jun 12 20:00:23 2009  A5:  15120
Fri Jun 12 20:00:23 2009  skew 1.00, size 1.029077e-11, alpha -6.403071, combined = 5.274824e-12
Fri Jun 12 20:00:23 2009  
Fri Jun 12 20:00:23 2009  commencing relation filtering
Fri Jun 12 20:00:23 2009  commencing duplicate removal, pass 1
Fri Jun 12 20:01:23 2009  found 245218 hash collisions in 4342759 relations
Fri Jun 12 20:01:48 2009  added 32761 free relations
Fri Jun 12 20:01:48 2009  commencing duplicate removal, pass 2
Fri Jun 12 20:01:52 2009  found 221724 duplicates and 4153796 unique relations
Fri Jun 12 20:01:52 2009  memory use: 36.7 MB
Fri Jun 12 20:01:52 2009  reading rational ideals above 7929856
Fri Jun 12 20:01:52 2009  reading algebraic ideals above 7929856
Fri Jun 12 20:01:52 2009  commencing singleton removal, pass 1
Fri Jun 12 20:02:51 2009  relations with 0 large ideals: 225807
Fri Jun 12 20:02:51 2009  relations with 1 large ideals: 904826
Fri Jun 12 20:02:51 2009  relations with 2 large ideals: 1503333
Fri Jun 12 20:02:51 2009  relations with 3 large ideals: 1135579
Fri Jun 12 20:02:51 2009  relations with 4 large ideals: 345538
Fri Jun 12 20:02:51 2009  relations with 5 large ideals: 10406
Fri Jun 12 20:02:51 2009  relations with 6 large ideals: 28307
Fri Jun 12 20:02:51 2009  relations with 7+ large ideals: 0
Fri Jun 12 20:02:51 2009  4153796 relations and about 4466316 large ideals
Fri Jun 12 20:02:51 2009  commencing singleton removal, pass 2
Fri Jun 12 20:03:49 2009  found 2073269 singletons
Fri Jun 12 20:03:49 2009  current dataset: 2080527 relations and about 1761280 large ideals
Fri Jun 12 20:03:49 2009  commencing singleton removal, pass 3
Fri Jun 12 20:04:20 2009  found 669977 singletons
Fri Jun 12 20:04:20 2009  current dataset: 1410550 relations and about 987820 large ideals
Fri Jun 12 20:04:20 2009  commencing singleton removal, pass 4
Fri Jun 12 20:04:42 2009  found 251716 singletons
Fri Jun 12 20:04:42 2009  current dataset: 1158834 relations and about 716140 large ideals
Fri Jun 12 20:04:42 2009  commencing singleton removal, final pass
Fri Jun 12 20:04:59 2009  memory use: 16.6 MB
Fri Jun 12 20:04:59 2009  commencing in-memory singleton removal
Fri Jun 12 20:04:59 2009  begin with 1158834 relations and 737995 unique ideals
Fri Jun 12 20:05:01 2009  reduce to 901584 relations and 471390 ideals in 19 passes
Fri Jun 12 20:05:01 2009  max relations containing the same ideal: 19
Fri Jun 12 20:05:01 2009  reading rational ideals above 720000
Fri Jun 12 20:05:01 2009  reading algebraic ideals above 720000
Fri Jun 12 20:05:01 2009  commencing singleton removal, final pass
Fri Jun 12 20:05:18 2009  keeping 1394025 ideals with weight <= 20, new excess is 116433
Fri Jun 12 20:05:19 2009  memory use: 34.6 MB
Fri Jun 12 20:05:19 2009  commencing in-memory singleton removal
Fri Jun 12 20:05:19 2009  begin with 913236 relations and 1394025 unique ideals
Fri Jun 12 20:05:19 2009  reduce to 525 relations and 19 ideals in 8 passes
Fri Jun 12 20:05:19 2009  max relations containing the same ideal: 2
Fri Jun 12 20:05:19 2009  filtering wants 403668 more relations
Fri Jun 12 20:05:19 2009  elapsed time 00:04:58
Fri Jun 12 22:19:23 2009  
Fri Jun 12 22:19:23 2009  
Fri Jun 12 22:19:23 2009  Msieve v. 1.41
Fri Jun 12 22:19:23 2009  random seeds: bfd03f0f 5f41b48a
Fri Jun 12 22:19:23 2009  factoring 161786826623523873106331984288573086057036069356281984589662923023302881395583523319398596356535562638667735369803263428093 (123 digits)
Fri Jun 12 22:19:25 2009  searching for 15-digit factors
Fri Jun 12 22:19:26 2009  commencing number field sieve (123-digit input)
Fri Jun 12 22:19:26 2009  R0: -403531707038578195679824
Fri Jun 12 22:19:26 2009  R1:  18400543438849
Fri Jun 12 22:19:26 2009  A0:  288596986503835432574359753965
Fri Jun 12 22:19:26 2009  A1: -7558628649210801901609443
Fri Jun 12 22:19:26 2009  A2: -90495200746547881266
Fri Jun 12 22:19:26 2009  A3:  367691967788437
Fri Jun 12 22:19:26 2009  A4:  2322968419
Fri Jun 12 22:19:26 2009  A5:  15120
Fri Jun 12 22:19:26 2009  skew 1.00, size 1.029077e-11, alpha -6.403071, combined = 5.274824e-12
Fri Jun 12 22:19:26 2009  
Fri Jun 12 22:19:26 2009  commencing relation filtering
Fri Jun 12 22:19:26 2009  commencing duplicate removal, pass 1
Fri Jun 12 22:20:40 2009  error -15 reading relation 4853261
Fri Jun 12 22:20:44 2009  found 332870 hash collisions in 5121689 relations
Fri Jun 12 22:21:10 2009  added 32874 free relations
Fri Jun 12 22:21:10 2009  commencing duplicate removal, pass 2
Fri Jun 12 22:21:15 2009  found 302652 duplicates and 4851911 unique relations
Fri Jun 12 22:21:15 2009  memory use: 40.3 MB
Fri Jun 12 22:21:15 2009  reading rational ideals above 8192000
Fri Jun 12 22:21:15 2009  reading algebraic ideals above 8192000
Fri Jun 12 22:21:15 2009  commencing singleton removal, pass 1
Fri Jun 12 22:22:24 2009  relations with 0 large ideals: 264315
Fri Jun 12 22:22:24 2009  relations with 1 large ideals: 1052504
Fri Jun 12 22:22:24 2009  relations with 2 large ideals: 1735144
Fri Jun 12 22:22:24 2009  relations with 3 large ideals: 1319991
Fri Jun 12 22:22:24 2009  relations with 4 large ideals: 424942
Fri Jun 12 22:22:24 2009  relations with 5 large ideals: 26723
Fri Jun 12 22:22:24 2009  relations with 6 large ideals: 28292
Fri Jun 12 22:22:24 2009  relations with 7+ large ideals: 0
Fri Jun 12 22:22:24 2009  4851911 relations and about 4759380 large ideals
Fri Jun 12 22:22:24 2009  commencing singleton removal, pass 2
Fri Jun 12 22:23:33 2009  found 2063490 singletons
Fri Jun 12 22:23:33 2009  current dataset: 2788421 relations and about 2200671 large ideals
Fri Jun 12 22:23:33 2009  commencing singleton removal, pass 3
Fri Jun 12 22:24:15 2009  found 656390 singletons
Fri Jun 12 22:24:15 2009  current dataset: 2132031 relations and about 1474736 large ideals
Fri Jun 12 22:24:15 2009  commencing singleton removal, pass 4
Fri Jun 12 22:24:46 2009  found 242361 singletons
Fri Jun 12 22:24:46 2009  current dataset: 1889670 relations and about 1220553 large ideals
Fri Jun 12 22:24:46 2009  commencing singleton removal, final pass
Fri Jun 12 22:25:15 2009  memory use: 26.0 MB
Fri Jun 12 22:25:15 2009  commencing in-memory singleton removal
Fri Jun 12 22:25:15 2009  begin with 1889670 relations and 1258949 unique ideals
Fri Jun 12 22:25:18 2009  reduce to 1593421 relations and 955497 ideals in 16 passes
Fri Jun 12 22:25:18 2009  max relations containing the same ideal: 27
Fri Jun 12 22:25:19 2009  reading rational ideals above 720000
Fri Jun 12 22:25:19 2009  reading algebraic ideals above 720000
Fri Jun 12 22:25:19 2009  commencing singleton removal, final pass
Fri Jun 12 22:25:48 2009  keeping 1913424 ideals with weight <= 20, new excess is 125729
Fri Jun 12 22:25:49 2009  memory use: 64.8 MB
Fri Jun 12 22:25:49 2009  commencing in-memory singleton removal
Fri Jun 12 22:25:49 2009  begin with 1596892 relations and 1913424 unique ideals
Fri Jun 12 22:26:08 2009  reduce to 1013701 relations and 1301558 ideals in 73 passes
Fri Jun 12 22:26:08 2009  max relations containing the same ideal: 20
Fri Jun 12 22:26:08 2009  filtering wants 1000000 more relations
Fri Jun 12 22:26:08 2009  elapsed time 00:06:45
Fri Jun 12 23:46:27 2009  
Fri Jun 12 23:46:27 2009  
Fri Jun 12 23:46:27 2009  Msieve v. 1.41
Fri Jun 12 23:46:27 2009  random seeds: deb8b6cc 2e1ca6cf
Fri Jun 12 23:46:27 2009  factoring 161786826623523873106331984288573086057036069356281984589662923023302881395583523319398596356535562638667735369803263428093 (123 digits)
Fri Jun 12 23:46:28 2009  searching for 15-digit factors
Fri Jun 12 23:46:29 2009  commencing number field sieve (123-digit input)
Fri Jun 12 23:46:29 2009  R0: -403531707038578195679824
Fri Jun 12 23:46:29 2009  R1:  18400543438849
Fri Jun 12 23:46:29 2009  A0:  288596986503835432574359753965
Fri Jun 12 23:46:29 2009  A1: -7558628649210801901609443
Fri Jun 12 23:46:29 2009  A2: -90495200746547881266
Fri Jun 12 23:46:29 2009  A3:  367691967788437
Fri Jun 12 23:46:29 2009  A4:  2322968419
Fri Jun 12 23:46:29 2009  A5:  15120
Fri Jun 12 23:46:29 2009  skew 1.00, size 1.029077e-11, alpha -6.403071, combined = 5.274824e-12
Fri Jun 12 23:46:29 2009  
Fri Jun 12 23:46:29 2009  commencing relation filtering
Fri Jun 12 23:46:29 2009  commencing duplicate removal, pass 1
Fri Jun 12 23:47:47 2009  error -15 reading relation 5041416
Fri Jun 12 23:47:53 2009  found 378687 hash collisions in 5493173 relations
Fri Jun 12 23:48:20 2009  added 32906 free relations
Fri Jun 12 23:48:20 2009  commencing duplicate removal, pass 2
Fri Jun 12 23:48:25 2009  found 345149 duplicates and 5180930 unique relations
Fri Jun 12 23:48:25 2009  memory use: 40.3 MB
Fri Jun 12 23:48:25 2009  reading rational ideals above 9109504
Fri Jun 12 23:48:25 2009  reading algebraic ideals above 9109504
Fri Jun 12 23:48:25 2009  commencing singleton removal, pass 1
Fri Jun 12 23:49:39 2009  relations with 0 large ideals: 345545
Fri Jun 12 23:49:39 2009  relations with 1 large ideals: 1266516
Fri Jun 12 23:49:39 2009  relations with 2 large ideals: 1888794
Fri Jun 12 23:49:39 2009  relations with 3 large ideals: 1282726
Fri Jun 12 23:49:39 2009  relations with 4 large ideals: 355464
Fri Jun 12 23:49:39 2009  relations with 5 large ideals: 13999
Fri Jun 12 23:49:39 2009  relations with 6 large ideals: 27886
Fri Jun 12 23:49:39 2009  relations with 7+ large ideals: 0
Fri Jun 12 23:49:39 2009  5180930 relations and about 4783311 large ideals
Fri Jun 12 23:49:39 2009  commencing singleton removal, pass 2
Fri Jun 12 23:50:52 2009  found 2032546 singletons
Fri Jun 12 23:50:52 2009  current dataset: 3148384 relations and about 2315356 large ideals
Fri Jun 12 23:50:52 2009  commencing singleton removal, pass 3
Fri Jun 12 23:51:37 2009  found 618234 singletons
Fri Jun 12 23:51:37 2009  current dataset: 2530150 relations and about 1643805 large ideals
Fri Jun 12 23:51:37 2009  commencing singleton removal, pass 4
Fri Jun 12 23:52:14 2009  found 211011 singletons
Fri Jun 12 23:52:14 2009  current dataset: 2319139 relations and about 1425302 large ideals
Fri Jun 12 23:52:14 2009  commencing singleton removal, final pass
Fri Jun 12 23:52:48 2009  memory use: 33.3 MB
Fri Jun 12 23:52:48 2009  commencing in-memory singleton removal
Fri Jun 12 23:52:48 2009  begin with 2319138 relations and 1470374 unique ideals
Fri Jun 12 23:52:51 2009  reduce to 2065653 relations and 1212121 ideals in 14 passes
Fri Jun 12 23:52:51 2009  max relations containing the same ideal: 32
Fri Jun 12 23:52:52 2009  reading rational ideals above 720000
Fri Jun 12 23:52:52 2009  reading algebraic ideals above 720000
Fri Jun 12 23:52:52 2009  commencing singleton removal, final pass
Fri Jun 12 23:53:27 2009  keeping 2244398 ideals with weight <= 20, new excess is 151810
Fri Jun 12 23:53:29 2009  memory use: 66.1 MB
Fri Jun 12 23:53:29 2009  commencing in-memory singleton removal
Fri Jun 12 23:53:30 2009  begin with 2065846 relations and 2244398 unique ideals
Fri Jun 12 23:53:40 2009  reduce to 1751486 relations and 1923897 ideals in 24 passes
Fri Jun 12 23:53:40 2009  max relations containing the same ideal: 20
Fri Jun 12 23:53:40 2009  filtering wants 1000000 more relations
Fri Jun 12 23:53:40 2009  elapsed time 00:07:13
Sat Jun 13 01:02:32 2009  
Sat Jun 13 01:02:32 2009  
Sat Jun 13 01:02:32 2009  Msieve v. 1.41
Sat Jun 13 01:02:32 2009  random seeds: 82748a4d d51598b3
Sat Jun 13 01:02:32 2009  factoring 161786826623523873106331984288573086057036069356281984589662923023302881395583523319398596356535562638667735369803263428093 (123 digits)
Sat Jun 13 01:02:33 2009  searching for 15-digit factors
Sat Jun 13 01:02:34 2009  commencing number field sieve (123-digit input)
Sat Jun 13 01:02:34 2009  R0: -403531707038578195679824
Sat Jun 13 01:02:34 2009  R1:  18400543438849
Sat Jun 13 01:02:34 2009  A0:  288596986503835432574359753965
Sat Jun 13 01:02:34 2009  A1: -7558628649210801901609443
Sat Jun 13 01:02:34 2009  A2: -90495200746547881266
Sat Jun 13 01:02:34 2009  A3:  367691967788437
Sat Jun 13 01:02:34 2009  A4:  2322968419
Sat Jun 13 01:02:34 2009  A5:  15120
Sat Jun 13 01:02:34 2009  skew 1.00, size 1.029077e-11, alpha -6.403071, combined = 5.274824e-12
Sat Jun 13 01:02:34 2009  
Sat Jun 13 01:02:34 2009  commencing relation filtering
Sat Jun 13 01:02:34 2009  commencing duplicate removal, pass 1
Sat Jun 13 01:03:48 2009  error -15 reading relation 5182393
Sat Jun 13 01:03:55 2009  found 414465 hash collisions in 5772298 relations
Sat Jun 13 01:04:22 2009  added 32928 free relations
Sat Jun 13 01:04:22 2009  commencing duplicate removal, pass 2
Sat Jun 13 01:04:27 2009  found 378446 duplicates and 5426780 unique relations
Sat Jun 13 01:04:27 2009  memory use: 40.3 MB
Sat Jun 13 01:04:27 2009  reading rational ideals above 9240576
Sat Jun 13 01:04:27 2009  reading algebraic ideals above 9240576
Sat Jun 13 01:04:27 2009  commencing singleton removal, pass 1
Sat Jun 13 01:05:43 2009  relations with 0 large ideals: 377155
Sat Jun 13 01:05:43 2009  relations with 1 large ideals: 1362769
Sat Jun 13 01:05:43 2009  relations with 2 large ideals: 1994385
Sat Jun 13 01:05:43 2009  relations with 3 large ideals: 1314888
Sat Jun 13 01:05:43 2009  relations with 4 large ideals: 342912
Sat Jun 13 01:05:43 2009  relations with 5 large ideals: 6832
Sat Jun 13 01:05:43 2009  relations with 6 large ideals: 27839
Sat Jun 13 01:05:43 2009  relations with 7+ large ideals: 0
Sat Jun 13 01:05:43 2009  5426780 relations and about 4859513 large ideals
Sat Jun 13 01:05:43 2009  commencing singleton removal, pass 2
Sat Jun 13 01:06:59 2009  found 2010559 singletons
Sat Jun 13 01:06:59 2009  current dataset: 3416221 relations and about 2450810 large ideals
Sat Jun 13 01:06:59 2009  commencing singleton removal, pass 3
Sat Jun 13 01:07:49 2009  found 597342 singletons
Sat Jun 13 01:07:49 2009  current dataset: 2818879 relations and about 1808301 large ideals
Sat Jun 13 01:07:49 2009  commencing singleton removal, pass 4
Sat Jun 13 01:08:29 2009  found 196450 singletons
Sat Jun 13 01:08:29 2009  current dataset: 2622429 relations and about 1605872 large ideals
Sat Jun 13 01:08:29 2009  commencing singleton removal, final pass
Sat Jun 13 01:09:08 2009  memory use: 35.7 MB
Sat Jun 13 01:09:08 2009  commencing in-memory singleton removal
Sat Jun 13 01:09:08 2009  begin with 2622429 relations and 1656743 unique ideals
Sat Jun 13 01:09:11 2009  reduce to 2379143 relations and 1409509 ideals in 13 passes
Sat Jun 13 01:09:11 2009  max relations containing the same ideal: 34
Sat Jun 13 01:09:12 2009  reading rational ideals above 720000
Sat Jun 13 01:09:12 2009  reading algebraic ideals above 720000
Sat Jun 13 01:09:12 2009  commencing singleton removal, final pass
Sat Jun 13 01:09:54 2009  keeping 2439301 ideals with weight <= 20, new excess is 178904
Sat Jun 13 01:09:56 2009  memory use: 89.9 MB
Sat Jun 13 01:09:56 2009  commencing in-memory singleton removal
Sat Jun 13 01:09:56 2009  begin with 2379242 relations and 2439301 unique ideals
Sat Jun 13 01:10:04 2009  reduce to 2157977 relations and 2214963 ideals in 16 passes
Sat Jun 13 01:10:04 2009  max relations containing the same ideal: 20
Sat Jun 13 01:10:05 2009  filtering wants 1000000 more relations
Sat Jun 13 01:10:05 2009  elapsed time 00:07:33
Sat Jun 13 09:20:57 2009  
Sat Jun 13 09:20:57 2009  
Sat Jun 13 09:20:57 2009  Msieve v. 1.41
Sat Jun 13 09:20:57 2009  random seeds: d4f72b0d 5f6e8dac
Sat Jun 13 09:20:57 2009  factoring 161786826623523873106331984288573086057036069356281984589662923023302881395583523319398596356535562638667735369803263428093 (123 digits)
Sat Jun 13 09:20:59 2009  searching for 15-digit factors
Sat Jun 13 09:21:00 2009  commencing number field sieve (123-digit input)
Sat Jun 13 09:21:00 2009  R0: -403531707038578195679824
Sat Jun 13 09:21:00 2009  R1:  18400543438849
Sat Jun 13 09:21:00 2009  A0:  288596986503835432574359753965
Sat Jun 13 09:21:00 2009  A1: -7558628649210801901609443
Sat Jun 13 09:21:00 2009  A2: -90495200746547881266
Sat Jun 13 09:21:00 2009  A3:  367691967788437
Sat Jun 13 09:21:00 2009  A4:  2322968419
Sat Jun 13 09:21:00 2009  A5:  15120
Sat Jun 13 09:21:00 2009  skew 1.00, size 1.029077e-11, alpha -6.403071, combined = 5.274824e-12
Sat Jun 13 09:21:00 2009  
Sat Jun 13 09:21:00 2009  commencing relation filtering
Sat Jun 13 09:21:00 2009  commencing duplicate removal, pass 1
Sat Jun 13 09:22:35 2009  error -15 reading relation 6135277
Sat Jun 13 09:22:57 2009  found 693492 hash collisions in 7649825 relations
Sat Jun 13 09:23:25 2009  added 32973 free relations
Sat Jun 13 09:23:25 2009  commencing duplicate removal, pass 2
Sat Jun 13 09:23:32 2009  found 641368 duplicates and 7041430 unique relations
Sat Jun 13 09:23:32 2009  memory use: 48.6 MB
Sat Jun 13 09:23:32 2009  reading rational ideals above 9633792
Sat Jun 13 09:23:32 2009  reading algebraic ideals above 9633792
Sat Jun 13 09:23:32 2009  commencing singleton removal, pass 1
Sat Jun 13 09:25:14 2009  relations with 0 large ideals: 506739
Sat Jun 13 09:25:14 2009  relations with 1 large ideals: 1797606
Sat Jun 13 09:25:14 2009  relations with 2 large ideals: 2579855
Sat Jun 13 09:25:14 2009  relations with 3 large ideals: 1674934
Sat Jun 13 09:25:14 2009  relations with 4 large ideals: 440116
Sat Jun 13 09:25:14 2009  relations with 5 large ideals: 14500
Sat Jun 13 09:25:14 2009  relations with 6 large ideals: 27680
Sat Jun 13 09:25:14 2009  relations with 7+ large ideals: 0
Sat Jun 13 09:25:14 2009  7041430 relations and about 5295063 large ideals
Sat Jun 13 09:25:14 2009  commencing singleton removal, pass 2
Sat Jun 13 09:27:01 2009  found 1790083 singletons
Sat Jun 13 09:27:01 2009  current dataset: 5251347 relations and about 3286858 large ideals
Sat Jun 13 09:27:01 2009  commencing singleton removal, pass 3
Sat Jun 13 09:28:24 2009  found 425197 singletons
Sat Jun 13 09:28:24 2009  current dataset: 4826150 relations and about 2847189 large ideals
Sat Jun 13 09:28:24 2009  commencing singleton removal, final pass
Sat Jun 13 09:29:36 2009  memory use: 69.3 MB
Sat Jun 13 09:29:37 2009  commencing in-memory singleton removal
Sat Jun 13 09:29:37 2009  begin with 4826149 relations and 2931993 unique ideals
Sat Jun 13 09:29:43 2009  reduce to 4568128 relations and 2670795 ideals in 11 passes
Sat Jun 13 09:29:43 2009  max relations containing the same ideal: 42
Sat Jun 13 09:29:44 2009  reading rational ideals above 720000
Sat Jun 13 09:29:44 2009  reading algebraic ideals above 720000
Sat Jun 13 09:29:44 2009  commencing singleton removal, final pass
Sat Jun 13 09:31:07 2009  keeping 3506550 ideals with weight <= 20, new excess is 444702
Sat Jun 13 09:31:12 2009  memory use: 127.2 MB
Sat Jun 13 09:31:12 2009  commencing in-memory singleton removal
Sat Jun 13 09:31:13 2009  begin with 4568195 relations and 3506550 unique ideals
Sat Jun 13 09:31:21 2009  reduce to 4532733 relations and 3470763 ideals in 9 passes
Sat Jun 13 09:31:21 2009  max relations containing the same ideal: 20
Sat Jun 13 09:31:26 2009  removing 1083262 relations and 810204 ideals in 273058 cliques
Sat Jun 13 09:31:27 2009  commencing in-memory singleton removal
Sat Jun 13 09:31:27 2009  begin with 3449471 relations and 3470763 unique ideals
Sat Jun 13 09:31:32 2009  reduce to 3299683 relations and 2500727 ideals in 7 passes
Sat Jun 13 09:31:32 2009  max relations containing the same ideal: 20
Sat Jun 13 09:31:36 2009  removing 833905 relations and 560847 ideals in 273058 cliques
Sat Jun 13 09:31:36 2009  commencing in-memory singleton removal
Sat Jun 13 09:31:37 2009  begin with 2465778 relations and 2500727 unique ideals
Sat Jun 13 09:31:40 2009  reduce to 2332272 relations and 1795523 ideals in 8 passes
Sat Jun 13 09:31:40 2009  max relations containing the same ideal: 19
Sat Jun 13 09:31:43 2009  removing 106458 relations and 85564 ideals in 20894 cliques
Sat Jun 13 09:31:43 2009  commencing in-memory singleton removal
Sat Jun 13 09:31:43 2009  begin with 2225814 relations and 1795523 unique ideals
Sat Jun 13 09:31:45 2009  reduce to 2223285 relations and 1707413 ideals in 5 passes
Sat Jun 13 09:31:45 2009  max relations containing the same ideal: 18
Sat Jun 13 09:31:46 2009  relations with 0 large ideals: 35555
Sat Jun 13 09:31:46 2009  relations with 1 large ideals: 212163
Sat Jun 13 09:31:46 2009  relations with 2 large ideals: 514722
Sat Jun 13 09:31:46 2009  relations with 3 large ideals: 659685
Sat Jun 13 09:31:46 2009  relations with 4 large ideals: 493889
Sat Jun 13 09:31:46 2009  relations with 5 large ideals: 226498
Sat Jun 13 09:31:46 2009  relations with 6 large ideals: 67432
Sat Jun 13 09:31:46 2009  relations with 7+ large ideals: 13341
Sat Jun 13 09:31:46 2009  commencing 2-way merge
Sat Jun 13 09:31:49 2009  reduce to 1578507 relation sets and 1062635 unique ideals
Sat Jun 13 09:31:49 2009  commencing full merge
Sat Jun 13 09:32:19 2009  memory use: 104.7 MB
Sat Jun 13 09:32:19 2009  found 793018 cycles, need 722835
Sat Jun 13 09:32:20 2009  weight of 722835 cycles is about 51025720 (70.59/cycle)
Sat Jun 13 09:32:20 2009  distribution of cycle lengths:
Sat Jun 13 09:32:20 2009  1 relations: 70009
Sat Jun 13 09:32:20 2009  2 relations: 75914
Sat Jun 13 09:32:20 2009  3 relations: 81835
Sat Jun 13 09:32:20 2009  4 relations: 78723
Sat Jun 13 09:32:20 2009  5 relations: 74097
Sat Jun 13 09:32:20 2009  6 relations: 67368
Sat Jun 13 09:32:20 2009  7 relations: 59972
Sat Jun 13 09:32:20 2009  8 relations: 52597
Sat Jun 13 09:32:20 2009  9 relations: 44793
Sat Jun 13 09:32:20 2009  10+ relations: 117527
Sat Jun 13 09:32:20 2009  heaviest cycle: 15 relations
Sat Jun 13 09:32:20 2009  commencing cycle optimization
Sat Jun 13 09:32:22 2009  start with 4135027 relations
Sat Jun 13 09:32:36 2009  pruned 184148 relations
Sat Jun 13 09:32:36 2009  memory use: 126.0 MB
Sat Jun 13 09:32:36 2009  distribution of cycle lengths:
Sat Jun 13 09:32:36 2009  1 relations: 70009
Sat Jun 13 09:32:36 2009  2 relations: 78957
Sat Jun 13 09:32:36 2009  3 relations: 87287
Sat Jun 13 09:32:36 2009  4 relations: 83219
Sat Jun 13 09:32:36 2009  5 relations: 78985
Sat Jun 13 09:32:36 2009  6 relations: 70517
Sat Jun 13 09:32:36 2009  7 relations: 62392
Sat Jun 13 09:32:36 2009  8 relations: 53131
Sat Jun 13 09:32:36 2009  9 relations: 43708
Sat Jun 13 09:32:36 2009  10+ relations: 94630
Sat Jun 13 09:32:36 2009  heaviest cycle: 15 relations
Sat Jun 13 09:32:37 2009  RelProcTime: 578
Sat Jun 13 09:32:37 2009  elapsed time 00:11:40
Sat Jun 13 10:08:45 2009  
Sat Jun 13 10:08:45 2009  
Sat Jun 13 10:08:45 2009  Msieve v. 1.41
Sat Jun 13 10:08:45 2009  random seeds: b95777f6 913f57c4
Sat Jun 13 10:08:45 2009  factoring 161786826623523873106331984288573086057036069356281984589662923023302881395583523319398596356535562638667735369803263428093 (123 digits)
Sat Jun 13 10:08:46 2009  searching for 15-digit factors
Sat Jun 13 10:08:47 2009  commencing number field sieve (123-digit input)
Sat Jun 13 10:08:47 2009  R0: -403531707038578195679824
Sat Jun 13 10:08:47 2009  R1:  18400543438849
Sat Jun 13 10:08:47 2009  A0:  288596986503835432574359753965
Sat Jun 13 10:08:47 2009  A1: -7558628649210801901609443
Sat Jun 13 10:08:47 2009  A2: -90495200746547881266
Sat Jun 13 10:08:47 2009  A3:  367691967788437
Sat Jun 13 10:08:47 2009  A4:  2322968419
Sat Jun 13 10:08:47 2009  A5:  15120
Sat Jun 13 10:08:47 2009  skew 1.00, size 1.029077e-11, alpha -6.403071, combined = 5.274824e-12
Sat Jun 13 10:08:47 2009  
Sat Jun 13 10:08:47 2009  commencing linear algebra
Sat Jun 13 10:08:48 2009  read 722835 cycles
Sat Jun 13 10:08:50 2009  cycles contain 1990579 unique relations
Sat Jun 13 10:09:22 2009  read 1990579 relations
Sat Jun 13 10:09:27 2009  using 20 quadratic characters above 67108668
Sat Jun 13 10:09:48 2009  building initial matrix
Sat Jun 13 10:10:31 2009  memory use: 267.2 MB
Sat Jun 13 10:10:32 2009  read 722835 cycles
Sat Jun 13 10:10:33 2009  matrix is 722618 x 722835 (213.2 MB) with weight 67963204 (94.02/col)
Sat Jun 13 10:10:33 2009  sparse part has weight 47938517 (66.32/col)
Sat Jun 13 10:11:07 2009  filtering completed in 3 passes
Sat Jun 13 10:11:07 2009  matrix is 721430 x 721630 (213.0 MB) with weight 67890760 (94.08/col)
Sat Jun 13 10:11:07 2009  sparse part has weight 47901032 (66.38/col)
Sat Jun 13 10:11:15 2009  read 721630 cycles
Sat Jun 13 10:11:16 2009  matrix is 721430 x 721630 (213.0 MB) with weight 67890760 (94.08/col)
Sat Jun 13 10:11:16 2009  sparse part has weight 47901032 (66.38/col)
Sat Jun 13 10:11:16 2009  saving the first 48 matrix rows for later
Sat Jun 13 10:11:16 2009  matrix is 721382 x 721630 (205.5 MB) with weight 53354728 (73.94/col)
Sat Jun 13 10:11:16 2009  sparse part has weight 46662784 (64.66/col)
Sat Jun 13 10:11:16 2009  matrix includes 64 packed rows
Sat Jun 13 10:11:16 2009  using block size 10922 for processor cache size 256 kB
Sat Jun 13 10:11:22 2009  commencing Lanczos iteration
Sat Jun 13 10:11:22 2009  memory use: 192.6 MB
Sat Jun 13 12:59:06 2009  lanczos halted after 11408 iterations (dim = 721381)
Sat Jun 13 12:59:08 2009  recovered 32 nontrivial dependencies
Sat Jun 13 12:59:08 2009  BLanczosTime: 10221
Sat Jun 13 12:59:08 2009  elapsed time 02:50:23
Sat Jun 13 17:14:02 2009  
Sat Jun 13 17:14:02 2009  
Sat Jun 13 17:14:02 2009  Msieve v. 1.41
Sat Jun 13 17:14:02 2009  random seeds: 705341fb cc3403da
Sat Jun 13 17:14:02 2009  factoring 161786826623523873106331984288573086057036069356281984589662923023302881395583523319398596356535562638667735369803263428093 (123 digits)
Sat Jun 13 17:14:03 2009  searching for 15-digit factors
Sat Jun 13 17:14:04 2009  commencing number field sieve (123-digit input)
Sat Jun 13 17:14:04 2009  R0: -403531707038578195679824
Sat Jun 13 17:14:04 2009  R1:  18400543438849
Sat Jun 13 17:14:04 2009  A0:  288596986503835432574359753965
Sat Jun 13 17:14:04 2009  A1: -7558628649210801901609443
Sat Jun 13 17:14:04 2009  A2: -90495200746547881266
Sat Jun 13 17:14:04 2009  A3:  367691967788437
Sat Jun 13 17:14:04 2009  A4:  2322968419
Sat Jun 13 17:14:04 2009  A5:  15120
Sat Jun 13 17:14:04 2009  skew 1.00, size 1.029077e-11, alpha -6.403071, combined = 5.274824e-12
Sat Jun 13 17:14:04 2009  
Sat Jun 13 17:14:04 2009  commencing square root phase
Sat Jun 13 17:14:04 2009  reading relations for dependency 1
Sat Jun 13 17:14:05 2009  read 360628 cycles
Sat Jun 13 17:14:05 2009  cycles contain 1248013 unique relations
Sat Jun 13 17:14:23 2009  read 1248013 relations
Sat Jun 13 17:14:33 2009  multiplying 994200 relations
Sat Jun 13 17:18:41 2009  multiply complete, coefficients have about 44.73 million bits
Sat Jun 13 17:18:43 2009  initial square root is modulo 2645257
Sat Jun 13 17:24:35 2009  reading relations for dependency 2
Sat Jun 13 17:24:35 2009  read 360316 cycles
Sat Jun 13 17:24:36 2009  cycles contain 1248281 unique relations
Sat Jun 13 17:24:54 2009  read 1248281 relations
Sat Jun 13 17:25:03 2009  multiplying 995182 relations
Sat Jun 13 17:29:11 2009  multiply complete, coefficients have about 44.78 million bits
Sat Jun 13 17:29:13 2009  initial square root is modulo 2683463
Sat Jun 13 17:35:12 2009  sqrtTime: 1268
Sat Jun 13 17:35:12 2009  prp58 factor: 1076573811006174078255496603425369798195157247908414024513
Sat Jun 13 17:35:12 2009  prp66 factor: 150279363077127682942036206681415950498349083088117034520490825661
Sat Jun 13 17:35:12 2009  elapsed time 00:21:10
software ソフトウェア
ggnfs, msieve 1.41
execution environment 実行環境
Athlon 64x2 3600+, 1 GB RAM, Debian Linux

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)
786Sinkiti SibataMay 26, 2009 03:24:01 UTC 2009 年 5 月 26 日 (火) 12 時 24 分 1 秒 (日本時間)

56×10175+619

c171

name 名前JPascoa
date 日付July 18, 2009 02:58:58 UTC 2009 年 7 月 18 日 (土) 11 時 58 分 58 秒 (日本時間)
composite number 合成数
246793121699417436022188464448789766194366330014406548479203492827795251612198102601596134514590982267473503893822547812862064239368174352289248589863765789801891228575823<171>
prime factors 素因数
388515540492427348907583886855452752043478553029<48>
70798724686624585386544472933176159270934345581903249<53>
8972205695485573426892548531463913519652897767969898815437666920730963<70>
factorization results 素因数分解の結果
Number: 62229_175
N=246793121699417436022188464448789766194366330014406548479203492827795251612198102601596134514590982267473503893822547812862064239368174352289248589863765789801891228575823
  ( 171 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=388515540492427348907583886855452752043478553029 (pp48)
 r2=70798724686624585386544472933176159270934345581903249 (pp53)
 r3=8972205695485573426892548531463913519652897767969898815437666920730963 (pp70)
Version: Msieve-1.40
Total time: 190.37 hours.
Scaled time: 170.00 units (timescale=0.893).
Factorization parameters were as follows:
n: 246793121699417436022188464448789766194366330014406548479203492827795251612198102601596134514590982267473503893822547812862064239368174352289248589863765789801891228575823
m: 100000000000000000000000000000000000
deg: 5
c5: 56
c0: 61
skew: 1.02
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3100000, 6400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1186087 x 1186335
Total sieving time: 175.31 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 12.30 hours.
Time per square root: 2.33 hours.
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 190.37 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
ggnfs
execution environment 実行環境
dual xeon 3.06, windows xp 4 threads, cygwin

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61320118Makoto KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)
1202Andreas TeteJune 8, 2009 21:32:03 UTC 2009 年 6 月 9 日 (火) 6 時 32 分 3 秒 (日本時間)

56×10178+619

c157

name 名前Ignacio Santos
date 日付June 7, 2011 05:27:51 UTC 2011 年 6 月 7 日 (火) 14 時 27 分 51 秒 (日本時間)
composite number 合成数
3883725832376027442962656546382547108635648375865934949866045093793357411209814332463185313605014720507395082735717002450041390810096953739155814733055128071<157>
prime factors 素因数
58158122360779508319224199274970516099189<41>
66778734847793543237105540845015917049579596804119508413228717538651728130525461820336089197267394127472889354627339<116>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2296061405
Step 1 took 92103ms
Step 2 took 43493ms
********** Factor found in step 2: 58158122360779508319224199274970516099189
Found probable prime factor of 41 digits: 58158122360779508319224199274970516099189
Probable prime cofactor 66778734847793543237105540845015917049579596804119508413228717538651728130525461820336089197267394127472889354627339 has 116 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 KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)

56×10179+619

c151

name 名前Rich Dickerson
date 日付June 1, 2012 15:55:44 UTC 2012 年 6 月 2 日 (土) 0 時 55 分 44 秒 (日本時間)
composite number 合成数
8189702837418542999757264983695135013597620188319584355303218629174576629751795801783233395051751811543792395556405332072010060977935441698350170082289<151>
prime factors 素因数
24717918154398862134149366678861371<35>
composite cofactor 合成数の残り
331326561818924185285163268180414331787917124376747126467590260617034495440640432877700470376520618561353361146603459<117>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3147618511
Step 1 took 102037ms
Step 2 took 52029ms
********** Factor found in step 2: 24717918154398862134149366678861371
Found probable prime factor of 35 digits: 24717918154398862134149366678861371
Composite cofactor 331326561818924185285163268180414331787917124376747126467590260617034495440640432877700470376520618561353361146603459 has 117 digits
software ソフトウェア
GMP-ECM 6.3 [config GMP 5.0.2] [ECM]
execution environment 実行環境
PPC G5, 2.5 GHz, Mac OS X

c117

name 名前Dmitry Domanov
date 日付June 6, 2012 19:58:03 UTC 2012 年 6 月 7 日 (木) 4 時 58 分 3 秒 (日本時間)
composite number 合成数
331326561818924185285163268180414331787917124376747126467590260617034495440640432877700470376520618561353361146603459<117>
prime factors 素因数
1165805682968434859275601016801761259830202252763<49>
284203934377196823519179344921869683273660623668986845911615586305593<69>
factorization results 素因数分解の結果
prp49 = 1165805682968434859275601016801761259830202252763
prp69 = 284203934377196823519179344921869683273660623668986845911615586305593
NFS elapsed time = 32310.8801 seconds.
software ソフトウェア
YAFU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 7, 2011 13:15:09 UTC 2011 年 6 月 7 日 (火) 22 時 15 分 9 秒 (日本時間)
403e6110 / 1677Ignacio SantosJune 7, 2011 13:15:09 UTC 2011 年 6 月 7 日 (火) 22 時 15 分 9 秒 (日本時間)
4511e6162 / 443732Ignacio SantosJune 7, 2011 13:15:09 UTC 2011 年 6 月 7 日 (火) 22 時 15 分 9 秒 (日本時間)
130Rich DickersonJune 1, 2012 15:51:54 UTC 2012 年 6 月 2 日 (土) 0 時 51 分 54 秒 (日本時間)

56×10180+619

c176

name 名前Robert Backstrom
date 日付July 8, 2009 05:46:00 UTC 2009 年 7 月 8 日 (水) 14 時 46 分 0 秒 (日本時間)
composite number 合成数
61449798258117682947571251589739200472285592326675906082761905075424140772709266739309106750370070436831253367394078653547134738558541357360204452257347365833692704921360717997<176>
prime factors 素因数
26838646500920498855907522727441822854563<41>
2289601238125406496463685953870925367871067431406768811372523359546903375516654651574265382783432990689047815439704473437274675097675119<136>
factorization results 素因数分解の結果
Number: n
N=61449798258117682947571251589739200472285592326675906082761905075424140772709266739309106750370070436831253367394078653547134738558541357360204452257347365833692704921360717997
  ( 176 digits)
SNFS difficulty: 181 digits.
Divisors found:

Wed Jul 08 12:08:03 2009  prp41 factor: 26838646500920498855907522727441822854563
Wed Jul 08 12:08:03 2009  prp136 factor: 2289601238125406496463685953870925367871067431406768811372523359546903375516654651574265382783432990689047815439704473437274675097675119
Wed Jul 08 12:08:03 2009  elapsed time 02:00:02 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 131.47 hours.
Scaled time: 349.70 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_6_2_179_9
n: 61449798258117682947571251589739200472285592326675906082761905075424140772709266739309106750370070436831253367394078653547134738558541357360204452257347365833692704921360717997
m: 1000000000000000000000000000000000000
deg: 5
c5: 56
c0: 61
skew: 1.02
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [3800000, 6049990)
Primes: RFBsize:514565, AFBsize:514353, largePrimes:20842136 encountered
Relations: rels:20918964, finalFF:999667
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1886231 hash collisions in 22789853 relations
Msieve: matrix is 1141759 x 1142007 (307.6 MB)

Total sieving time: 130.96 hours.
Total relation processing time: 0.51 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,56,56,2.5,2.5,100000
total time: 131.47 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 KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)

56×10181+619

c155

name 名前Jo Yeong Uk
date 日付April 4, 2014 06:55:45 UTC 2014 年 4 月 4 日 (金) 15 時 55 分 45 秒 (日本時間)
composite number 合成数
18888005888667647654101033161546541150848102338582304658944721852540752345244584582124549357778477019330297856475344911095214476888235070184611115889067067<155>
prime factors 素因数
63346496172912658429806392964255462305611913685452802534107153<62>
298169702032300757605798167380627396556196789497387723344556608220618700156255546405542777739<93>
factorization results 素因数分解の結果
Number: 62229_181
N=18888005888667647654101033161546541150848102338582304658944721852540752345244584582124549357778477019330297856475344911095214476888235070184611115889067067
  ( 155 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=63346496172912658429806392964255462305611913685452802534107153
 r2=298169702032300757605798167380627396556196789497387723344556608220618700156255546405542777739
Version: 
Total time: 70.66 hours.
Scaled time: 365.95 units (timescale=5.179).
Factorization parameters were as follows:
n: 18888005888667647654101033161546541150848102338582304658944721852540752345244584582124549357778477019330297856475344911095214476888235070184611115889067067
m: 2000000000000000000000000000000000000
deg: 5
c5: 35
c0: 122
skew: 1.28
# Murphy_E = 7.033e-11
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3400000, 6600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18642449
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1439701 x 1439949
Total sieving time: 66.59 hours.
Total relation processing time: 1.52 hours.
Matrix solve time: 2.47 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 70.66 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49370224k/51380224k available (5223k kernel code, 1085960k absent, 924040k reserved, 7119k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.85 BogoMIPS (lpj=3399928)
Total of 12 processors activated (81598.27 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 KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 7, 2011 13:15:34 UTC 2011 年 6 月 7 日 (火) 22 時 15 分 34 秒 (日本時間)
403e6110Ignacio SantosJune 7, 2011 13:15:34 UTC 2011 年 6 月 7 日 (火) 22 時 15 分 34 秒 (日本時間)
4511e61182 / 399832Ignacio SantosJune 7, 2011 13:15:34 UTC 2011 年 6 月 7 日 (火) 22 時 15 分 34 秒 (日本時間)
300Rich DickersonJune 15, 2013 23:28:56 UTC 2013 年 6 月 16 日 (日) 8 時 28 分 56 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:06:03 UTC 2013 年 11 月 9 日 (土) 2 時 6 分 3 秒 (日本時間)
5043e6100 / 7253Rich DickersonJune 17, 2013 08:38:16 UTC 2013 年 6 月 17 日 (月) 17 時 38 分 16 秒 (日本時間)
5511e712 / 17659Rich DickersonJune 17, 2013 09:15:12 UTC 2013 年 6 月 17 日 (月) 18 時 15 分 12 秒 (日本時間)

56×10182+619

c133

name 名前Robert Backstrom
date 日付April 21, 2012 10:33:29 UTC 2012 年 4 月 21 日 (土) 19 時 33 分 29 秒 (日本時間)
composite number 合成数
7783768068039254330762314966624629869731617131768898766117637842657729900318814539178177072474954104643429683389739885393853398266391<133>
prime factors 素因数
48491964890529070096846936252404194109567358949448827<53>
160516656431867876983410070188286881632710811461167856489326251746677984713741333<81>
factorization results 素因数分解の結果
Number: n
N=7783768068039254330762314966624629869731617131768898766117637842657729900318814539178177072474954104643429683389739885393853398266391
  ( 133 digits)
Divisors found:

Sat Apr 21 19:48:45 2012  prp53 factor: 48491964890529070096846936252404194109567358949448827
Sat Apr 21 19:48:45 2012  prp81 factor: 160516656431867876983410070188286881632710811461167856489326251746677984713741333
Sat Apr 21 19:48:45 2012  elapsed time 02:13:15 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.095).
Factorization parameters were as follows:
name: KA_62229_182
n: 7783768068039254330762314966624629869731617131768898766117637842657729900318814539178177072474954104643429683389739885393853398266391
skew: 175500.02
# norm 9.13e+17
c5: 210360
c4: 32525414828
c3: -26623725389303522
c2: -516212619380162039919
c1: 257926694271026056133845102
c0: 405622598301121575088727905176
# alpha -5.33
Y1: 357112492729111
Y0: -32632113132363728495604145
# Murphy_E 5.01e-11
# M 5631894199839495255027045577094905272941659576200814598321855645848800496309862166641792069211489165064955125634075567056793503830610
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 28260000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3356735 hash collisions in 13860638 relations (10272701 unique)
Msieve: matrix is 1304039 x 1304266 (377.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,132,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   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: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.55 BogoMIPS (lpj=2830779)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830450)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462)
Total of 4 processors activated (22644.29 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 7, 2011 13:16:06 UTC 2011 年 6 月 7 日 (火) 22 時 16 分 6 秒 (日本時間)
403e6880110Ignacio SantosJune 7, 2011 13:16:06 UTC 2011 年 6 月 7 日 (火) 22 時 16 分 6 秒 (日本時間)
770Ignacio SantosJuly 10, 2011 20:42:53 UTC 2011 年 7 月 11 日 (月) 5 時 42 分 53 秒 (日本時間)
4511e6252 / 405332Ignacio SantosJune 7, 2011 13:16:06 UTC 2011 年 6 月 7 日 (火) 22 時 16 分 6 秒 (日本時間)
220Ignacio SantosJuly 10, 2011 20:42:53 UTC 2011 年 7 月 11 日 (月) 5 時 42 分 53 秒 (日本時間)
5043e661 / 7461Ignacio SantosJuly 10, 2011 20:42:53 UTC 2011 年 7 月 11 日 (月) 5 時 42 分 53 秒 (日本時間)

56×10183+619

c148

name 名前Jo Yeong Uk
date 日付June 21, 2014 20:31:21 UTC 2014 年 6 月 22 日 (日) 5 時 31 分 21 秒 (日本時間)
composite number 合成数
2973700147679583660669609982490845629950747041814740017602518825493027719434554655220721557017849258560060262319824884126086432802031212440657379159<148>
prime factors 素因数
21677176542069297761702758743854235230500297421<47>
199611114906447172926713653548655829613329568373073<51>
687242073486480217984877943895093691910219745469123<51>
factorization results 素因数分解の結果
Number: 62229_183
N=2973700147679583660669609982490845629950747041814740017602518825493027719434554655220721557017849258560060262319824884126086432802031212440657379159
  ( 148 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=21677176542069297761702758743854235230500297421
 r2=199611114906447172926713653548655829613329568373073
 r3=687242073486480217984877943895093691910219745469123
Version: 
Total time: 91.73 hours.
Scaled time: 480.38 units (timescale=5.237).
Factorization parameters were as follows:
n: 2973700147679583660669609982490845629950747041814740017602518825493027719434554655220721557017849258560060262319824884126086432802031212440657379159
m: 2000000000000000000000000000000000000
deg: 5
c5: 1750
c0: 61
skew: 0.51
# Murphy_E = 4.991e-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, 7900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20844777
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1710787 x 1711035
Total sieving time: 84.40 hours.
Total relation processing time: 2.28 hours.
Matrix solve time: 3.78 hours.
Time per square root: 1.28 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: 91.73 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.41 BogoMIPS (lpj=3400205)
Total of 12 processors activated (81604.92 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 KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 7, 2011 13:16:55 UTC 2011 年 6 月 7 日 (火) 22 時 16 分 55 秒 (日本時間)
403e6110Ignacio SantosJune 7, 2011 13:16:55 UTC 2011 年 6 月 7 日 (火) 22 時 16 分 55 秒 (日本時間)
4511e61022 / 443732Ignacio SantosJune 7, 2011 13:16:55 UTC 2011 年 6 月 7 日 (火) 22 時 16 分 55 秒 (日本時間)
230Ignacio SantosDecember 21, 2013 23:36:37 UTC 2013 年 12 月 22 日 (日) 8 時 36 分 37 秒 (日本時間)
230Ignacio SantosDecember 22, 2013 12:50:47 UTC 2013 年 12 月 22 日 (日) 21 時 50 分 47 秒 (日本時間)
230Ignacio SantosDecember 24, 2013 14:23:47 UTC 2013 年 12 月 24 日 (火) 23 時 23 分 47 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:21 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 21 秒 (日本時間)

56×10184+619

c162

name 名前Jo Yeong Uk
date 日付August 26, 2014 11:48:15 UTC 2014 年 8 月 26 日 (火) 20 時 48 分 15 秒 (日本時間)
composite number 合成数
835604762737936174264932443368405890602243624015668537031940939507076407112919865425038468527909175341003086991429907869291308939591917948053211476258059533065709<162>
prime factors 素因数
176374075470055220100505574006870505714792784211979640270749131<63>
4737684722150705762326917097307082548269093758577380645518291599633944487793727505173286899510041639<100>
factorization results 素因数分解の結果
Number: 62229_184
N=835604762737936174264932443368405890602243624015668537031940939507076407112919865425038468527909175341003086991429907869291308939591917948053211476258059533065709
  ( 162 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=176374075470055220100505574006870505714792784211979640270749131
 r2=4737684722150705762326917097307082548269093758577380645518291599633944487793727505173286899510041639
Version: 
Total time: 80.22 hours.
Scaled time: 421.71 units (timescale=5.257).
Factorization parameters were as follows:
n: 835604762737936174264932443368405890602243624015668537031940939507076407112919865425038468527909175341003086991429907869291308939591917948053211476258059533065709
m: 10000000000000000000000000000000000000
deg: 5
c5: 28
c0: 305
skew: 1.61
# Murphy_E = 5.26e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4000000, 7600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20466667
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1678285 x 1678533
Total sieving time: 74.43 hours.
Total relation processing time: 1.94 hours.
Matrix solve time: 3.63 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,54,54,2.5,2.5,100000
total time: 80.22 hours.
 --------- CPU info (if available) ----------
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 KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 7, 2011 13:17:18 UTC 2011 年 6 月 7 日 (火) 22 時 17 分 18 秒 (日本時間)
403e6410110Ignacio SantosJune 7, 2011 13:17:18 UTC 2011 年 6 月 7 日 (火) 22 時 17 分 18 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:53:48 UTC 2014 年 1 月 9 日 (木) 13 時 53 分 48 秒 (日本時間)
4511e61022 / 437132Ignacio SantosJune 7, 2011 13:17:18 UTC 2011 年 6 月 7 日 (火) 22 時 17 分 18 秒 (日本時間)
230Ignacio SantosFebruary 2, 2014 19:04:09 UTC 2014 年 2 月 3 日 (月) 4 時 4 分 9 秒 (日本時間)
230Ignacio SantosFebruary 2, 2014 23:29:16 UTC 2014 年 2 月 3 日 (月) 8 時 29 分 16 秒 (日本時間)
230Ignacio SantosFebruary 3, 2014 18:34:09 UTC 2014 年 2 月 4 日 (火) 3 時 34 分 9 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:22 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 22 秒 (日本時間)

56×10186+619

c120

name 名前Jo Yeong Uk
date 日付May 29, 2009 04:14:04 UTC 2009 年 5 月 29 日 (金) 13 時 14 分 4 秒 (日本時間)
composite number 合成数
203407098061604120287021780643889425783415179229077710477149813168419812392713855634930663385611053845841843301885575159<120>
prime factors 素因数
250673953247691140295576769478106793315213729261069<51>
811440899328768309046496122133133937558453179540215891652660246798611<69>
factorization results 素因数分解の結果
Number: 62229_186
N=203407098061604120287021780643889425783415179229077710477149813168419812392713855634930663385611053845841843301885575159
  ( 120 digits)
Divisors found:
 r1=250673953247691140295576769478106793315213729261069
 r2=811440899328768309046496122133133937558453179540215891652660246798611
Version: 
Total time: 28.47 hours.
Scaled time: 68.07 units (timescale=2.391).
Factorization parameters were as follows:
name: 62229_186
n: 203407098061604120287021780643889425783415179229077710477149813168419812392713855634930663385611053845841843301885575159
skew: 50983.71
# norm 1.83e+16
c5: 29940
c4: 8871972664
c3: 133501584474317
c2: -18333168317553189533
c1: 397303272440526758105387
c0: -2454440886303536665977967575
# alpha -5.21
Y1: 9371863989197
Y0: -92559341351746858589674
# Murphy_E 2.93e-10
# M 22682978338461827122610808507135925082005800740391586673361601427470149998450196025368237394910875482716387709003550593
type: gnfs
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [2400000, 4400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10199974
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 733110 x 733358
Polynomial selection time: 2.61 hours.
Total sieving time: 23.59 hours.
Total relation processing time: 0.98 hours.
Matrix solve time: 1.13 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
gnfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4800000,4800000,27,27,53,53,2.4,2.4,100000
total time: 28.47 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.. 5347.58 BogoMIPS (lpj=2673793)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672305)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
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 KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)
786Sinkiti SibataMay 26, 2009 03:21:55 UTC 2009 年 5 月 26 日 (火) 12 時 21 分 55 秒 (日本時間)
403e6250 / 2104Andreas TeteMay 26, 2009 22:07:51 UTC 2009 年 5 月 27 日 (水) 7 時 7 分 51 秒 (日本時間)

56×10188+619

c158

name 名前Rich Dickerson
date 日付April 11, 2014 14:40:44 UTC 2014 年 4 月 11 日 (金) 23 時 40 分 44 秒 (日本時間)
composite number 合成数
93043205552855805056619890881084618453758590073827995835608838600287923069094119105533917450839371478649726624283686046590371216314489169475261902464025859523<158>
prime factors 素因数
43616895263490809951734977803389967<35>
2133191851248910689048439918894028956907045528891969706853578164456649516447065902249353989624537759539170912490645297395469<124>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=777272721
Step 1 took 29584ms
Step 2 took 9563ms
********** Factor found in step 2: 43616895263490809951734977803389967
Found probable prime factor of 35 digits: 43616895263490809951734977803389967
Probable prime cofactor 2133191851248910689048439918894028956907045528891969706853578164456649516447065902249353989624537759539170912490645297395469 has 124 digits
software ソフトウェア
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
execution environment 実行環境
Core-i5, 3.4 GHz, OpenSUSE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 7, 2011 13:17:42 UTC 2011 年 6 月 7 日 (火) 22 時 17 分 42 秒 (日本時間)
403e6410 / 2126110Ignacio SantosJune 7, 2011 13:17:42 UTC 2011 年 6 月 7 日 (火) 22 時 17 分 42 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:53:50 UTC 2014 年 1 月 9 日 (木) 13 時 53 分 50 秒 (日本時間)
4511e632 / 4371Ignacio SantosJune 7, 2011 13:17:42 UTC 2011 年 6 月 7 日 (火) 22 時 17 分 42 秒 (日本時間)

56×10189+619

c160

composite cofactor 合成数の残り
1204492653316727225664863605942864192700364363181528364035566658835375489490652272473020590276655681121563957951255528549262400663889806320679708246465902713711<160>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 7, 2011 13:19:31 UTC 2011 年 6 月 7 日 (火) 22 時 19 分 31 秒 (日本時間)
403e6410110Ignacio SantosJune 7, 2011 13:19:31 UTC 2011 年 6 月 7 日 (火) 22 時 19 分 31 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:53:51 UTC 2014 年 1 月 9 日 (木) 13 時 53 分 51 秒 (日本時間)
4511e61132 / 437132Ignacio SantosJune 7, 2011 13:19:31 UTC 2011 年 6 月 7 日 (火) 22 時 19 分 31 秒 (日本時間)
800Rich DickersonApril 11, 2014 14:41:16 UTC 2014 年 4 月 11 日 (金) 23 時 41 分 16 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:22 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 22 秒 (日本時間)

56×10191+619

c173

name 名前Serge Batalov
date 日付May 24, 2009 19:59:55 UTC 2009 年 5 月 25 日 (月) 4 時 59 分 55 秒 (日本時間)
composite number 合成数
17233007812471445838321341209832697347600794713484788979989451457788374682538200257657645640327506722581212167741249383090967385166417026363551752668698833650251281795428973<173>
prime factors 素因数
635681258779264596324193416307<30>
27109510583283492081643976278683612870546015190877688257375898962423467107326967638290646508596450189747001674490682798108581473816237145499039<143>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3303208364
Step 1 took 10609ms
Step 2 took 5792ms
********** Factor found in step 2: 635681258779264596324193416307
Found probable prime factor of 30 digits: 635681258779264596324193416307
Probable prime cofactor has 143 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)

56×10193+619

c180

name 名前matsui
date 日付April 25, 2011 20:17:14 UTC 2011 年 4 月 26 日 (火) 5 時 17 分 14 秒 (日本時間)
composite number 合成数
334657872433154249684856605318403103015611357977806638637778091069926559272784754070814907760104103441118848725372083015552229138103886192547727817502220534208569933480028227289137<180>
prime factors 素因数
144044356043642952451105416868114829<36>
1013273811991732054900172887066823180074495849<46>
2292862338575121200565242266811383280454456666371666966302336492866528118111421740619394520616911597<100>
factorization results 素因数分解の結果
N=334657872433154249684856605318403103015611357977806638637778091069926559272784754070814907760104103441118848725372083015552229138103886192547727817502220534208569933480028227289137
  ( 180 digits)
SNFS difficulty: 194 digits.
Divisors found:
 r1=144044356043642952451105416868114829 (pp36)
 r2=1013273811991732054900172887066823180074495849 (pp46)
 r3=2292862338575121200565242266811383280454456666371666966302336492866528118111421740619394520616911597 (pp100)
Version: Msieve v. 1.49
Total time:
Scaled time: 38.63 units (timescale=0.628).
Factorization parameters were as follows:
n: 334657872433154249684856605318403103015611357977806638637778091069926559272784754070814907760104103441118848725372083015552229138103886192547727817502220534208569933480028227289137
m: 200000000000000000000000000000000000000
deg: 5
c5: 1750
c0: 61
skew: 0.51
type: snfs
lss: 1
rlim: 12300000
alim: 12300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 12300000/12300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6150000, 29190001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2961078 x 2961282
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,194.000,5,0,0,0,0,0,0,0,0,12300000,12300000,28,28,55,55,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)

56×10194+619

c192

name 名前Robert Backstrom
date 日付February 6, 2010 02:28:29 UTC 2010 年 2 月 6 日 (土) 11 時 28 分 29 秒 (日本時間)
composite number 合成数
989224518636283342165695106871577459812753930400989224518636283342165695106871577459812753930400989224518636283342165695106871577459812753930400989224518636283342165695106871577459812753930401<192>
prime factors 素因数
167723283757440746916974688109410106774885502789990615669323<60>
5897955826257772904681844353028642343287203404927765678629330135315262312377649957941994555802947580729380754852960042872611185829187<133>
factorization results 素因数分解の結果
Number: n
N=989224518636283342165695106871577459812753930400989224518636283342165695106871577459812753930400989224518636283342165695106871577459812753930400989224518636283342165695106871577459812753930401
  ( 192 digits)
SNFS difficulty: 195 digits.
Divisors found:

Sat Feb  6 12:45:37 2010  prp60 factor: 167723283757440746916974688109410106774885502789990615669323
Sat Feb  6 12:45:37 2010  prp133 factor: 5897955826257772904681844353028642343287203404927765678629330135315262312377649957941994555802947580729380754852960042872611185829187
Sat Feb  6 12:45:37 2010  elapsed time 10:31:39 (Msieve 1.42 - dependency 1)

Version: 
Total time: 23.40 hours.
Scaled time: 19.71 units (timescale=0.842).
Factorization parameters were as follows:
name: KA_6_2_193_9
n: 989224518636283342165695106871577459812753930400989224518636283342165695106871577459812753930400989224518636283342165695106871577459812753930400989224518636283342165695106871577459812753930401
m: 200000000000000000000000000000000000000
deg: 5
c5: 17500
c0: 61
skew: 0.32
type: snfs
lss: 1
rlim: 12800000
alim: 12800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 12800000/12800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 12931487)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3236961 hash collisions in 27934308 relations
Msieve: matrix is 1973990 x 1974215 (530.4 MB)

Total sieving time: 23.40 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,195,5,0,0,0,0,0,0,0,0,12800000,12800000,28,28,56,56,2.5,2.5,100000
total time: 23.40 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2009648k/2031552k available (2382k kernel code, 21092k reserved, 681k data, 296k init, 1114048k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)
786Wataru SakaiAugust 29, 2009 05:19:18 UTC 2009 年 8 月 29 日 (土) 14 時 19 分 18 秒 (日本時間)

56×10195+619

c173

name 名前Serge Batalov
date 日付May 24, 2009 19:59:07 UTC 2009 年 5 月 25 日 (月) 4 時 59 分 7 秒 (日本時間)
composite number 合成数
45466844373221521639318066969857243248423643578739741550772227302639302920242364662369987813054516567354424184338866880491501684549735488618404962918328118080358380279034047<173>
prime factors 素因数
16693093986305324656984769853199<32>
composite cofactor 合成数の残り
2723691869854779319603026289539237147981460259414140512173402438206782609228973001831820347551262311828517281485882982830362108368597411785553<142>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3990195945
Step 1 took 10597ms
Step 2 took 6004ms
********** Factor found in step 2: 16693093986305324656984769853199
Found probable prime factor of 32 digits: 16693093986305324656984769853199
Composite cofactor has 142 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 7, 2011 15:02:22 UTC 2011 年 6 月 8 日 (水) 0 時 2 分 22 秒 (日本時間)
403e62710110Ignacio SantosJune 7, 2011 15:02:22 UTC 2011 年 6 月 8 日 (水) 0 時 2 分 22 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:53:51 UTC 2014 年 1 月 9 日 (木) 13 時 53 分 51 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:36 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 36 秒 (日本時間)
1000Dmitry DomanovJune 5, 2014 11:39:43 UTC 2014 年 6 月 5 日 (木) 20 時 39 分 43 秒 (日本時間)
4511e632 / 3862Ignacio SantosJune 7, 2011 15:02:22 UTC 2011 年 6 月 8 日 (水) 0 時 2 分 22 秒 (日本時間)

56×10197+619

c141

composite cofactor 合成数の残り
120155165591283813712634471564992501093998476812477711840276499902908368073241033283537231653642003033378695766283846010614232241509296663731<141>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 7, 2011 16:25:53 UTC 2011 年 6 月 8 日 (水) 1 時 25 分 53 秒 (日本時間)
403e62710110Ignacio SantosJune 7, 2011 16:25:53 UTC 2011 年 6 月 8 日 (水) 1 時 25 分 53 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:53:52 UTC 2014 年 1 月 9 日 (木) 13 時 53 分 52 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:36 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 36 秒 (日本時間)
1000Dmitry DomanovJune 5, 2014 11:40:01 UTC 2014 年 6 月 5 日 (木) 20 時 40 分 1 秒 (日本時間)
4511e632 / 3862Ignacio SantosJune 7, 2011 16:25:53 UTC 2011 年 6 月 8 日 (水) 1 時 25 分 53 秒 (日本時間)

56×10198+619

c169

composite cofactor 合成数の残り
3140892421711171804930353128537659162583521964036085223970388718096329014321378011247271044060031486103222325292648087831748869113630106302814060839051120394694837813523<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 7, 2011 16:50:35 UTC 2011 年 6 月 8 日 (水) 1 時 50 分 35 秒 (日本時間)
403e62710110Ignacio SantosJune 7, 2011 16:50:35 UTC 2011 年 6 月 8 日 (水) 1 時 50 分 35 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:53:53 UTC 2014 年 1 月 9 日 (木) 13 時 53 分 53 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:36 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 36 秒 (日本時間)
1000Dmitry DomanovJune 5, 2014 11:40:18 UTC 2014 年 6 月 5 日 (木) 20 時 40 分 18 秒 (日本時間)
4511e632 / 3862Ignacio SantosJune 7, 2011 16:50:35 UTC 2011 年 6 月 8 日 (水) 1 時 50 分 35 秒 (日本時間)

56×10199+619

c132

name 名前Wataru Sakai
date 日付May 25, 2009 03:18:50 UTC 2009 年 5 月 25 日 (月) 12 時 18 分 50 秒 (日本時間)
composite number 合成数
343059416231459546967482689320212904944339649031217940058074003889576201146463025742801463398603264052380073278440242801785515184613<132>
prime factors 素因数
1209584055008769471318521911851364117<37>
283617674035040392384807441800220868385912808582004760099992553834346079760320670717642984524689<96>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1028574052
Step 1 took 41086ms
Step 2 took 15269ms
********** Factor found in step 2: 1209584055008769471318521911851364117
Found probable prime factor of 37 digits: 1209584055008769471318521911851364117
Probable prime cofactor 283617674035040392384807441800220868385912808582004760099992553834346079760320670717642984524689 has 96 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 KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)

56×10200+619

c200

name 名前Robert Backstrom
date 日付May 28, 2009 00:57:11 UTC 2009 年 5 月 28 日 (木) 9 時 57 分 11 秒 (日本時間)
composite number 合成数
16816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816817<200>
prime factors 素因数
481076100939208673226663917864223084277575369417353564944939<60>
8545755976691122629091211724599067284274966594431886983135257852967<67>
4090529449389188605462156151123695237619192394785337828054066652466473909<73>
factorization results 素因数分解の結果
Number: n
N=16816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816817
  ( 200 digits)
SNFS difficulty: 201 digits.
Divisors found:

Thu May 28 09:36:48 2009  prp60 factor: 481076100939208673226663917864223084277575369417353564944939
Thu May 28 09:36:48 2009  prp67 factor: 8545755976691122629091211724599067284274966594431886983135257852967
Thu May 28 09:36:48 2009  prp73 factor: 4090529449389188605462156151123695237619192394785337828054066652466473909
Thu May 28 09:36:48 2009  elapsed time 14:35:01 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20050930-k8
Total time: 41.52 hours.
Scaled time: 83.69 units (timescale=2.016).
Factorization parameters were as follows:
name: KA_6_2_199_9
n: 16816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816816817
m: 10000000000000000000000000000000000000000
deg: 5
c5: 56
c0: 61
skew: 1.02
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [8000000, 15599990)
Primes: RFBsize:1031130, AFBsize:1029484, largePrimes:35216489 encountered
Relations: rels:33331588, finalFF:1260378
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4741784 hash collisions in 38635157 relations
Msieve: matrix is 2987116 x 2987364 (816.9 MB)

Total sieving time: 40.75 hours.
Total relation processing time: 0.76 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 41.52 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: 3368968k/3407296k available (2747k kernel code, 36968k reserved, 1425k data, 416k init, 2489792k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.97 BogoMIPS (lpj=2830488)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830456)
Total of 4 processors activated (22643.70 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)

56×10201+619

c200

name 名前Robert Backstrom
date 日付September 27, 2009 12:49:21 UTC 2009 年 9 月 27 日 (日) 21 時 49 分 21 秒 (日本時間)
composite number 合成数
12224405151713599650731281379611438550534817725387469984719493560358000436585898275485701811831477843265662519100633049552499454267627155642872735210652695917921851124208688059375682165466055446409081<200>
prime factors 素因数
12976230882709148313796352258421392734651435365133427111<56>
1992170746350625100689831072711659409098813349881993208178477<61>
472881814205812910730841366893587785212540261528760193335109318680466487590313204923<84>
factorization results 素因数分解の結果
Number: n
N=12224405151713599650731281379611438550534817725387469984719493560358000436585898275485701811831477843265662519100633049552499454267627155642872735210652695917921851124208688059375682165466055446409081
  ( 200 digits)
SNFS difficulty: 203 digits.
Divisors found:

Sun Sep 27 22:33:34 2009  prp56 factor: 12976230882709148313796352258421392734651435365133427111
Sun Sep 27 22:33:34 2009  prp61 factor: 1992170746350625100689831072711659409098813349881993208178477
Sun Sep 27 22:33:34 2009  prp84 factor: 472881814205812910730841366893587785212540261528760193335109318680466487590313204923
Sun Sep 27 22:33:34 2009  elapsed time 26:37:21 (Msieve 1.39 - dependency 7)

Version: GGNFS-0.77.1-20050930-k8
Total time: 41.29 hours.
Scaled time: 83.00 units (timescale=2.010).
Factorization parameters were as follows:
name: KA_6_2_200_9
n: 12224405151713599650731281379611438550534817725387469984719493560358000436585898275485701811831477843265662519100633049552499454267627155642872735210652695917921851124208688059375682165466055446409081
m: 20000000000000000000000000000000000000000
deg: 5
c5: 35
c0: 122
skew: 1.28
type: snfs
lss: 1
rlim: 17000000
alim: 17000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 17000000/17000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 23799990)
Primes: RFBsize:1091314, AFBsize:1090698, largePrimes:33497097 encountered
Relations: rels:25939384, finalFF:334162
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5638443 hash collisions in 42981489 relations
Msieve: matrix is 3697471 x 3697718 (1002.5 MB)

Total sieving time: 40.54 hours.
Total relation processing time: 0.75 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17000000,17000000,29,29,58,58,2.6,2.6,100000
total time: 41.29 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: 3321556k/3407296k available (2912k kernel code, 84428k reserved, 1794k data, 1544k init, 2502088k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.09 BogoMIPS (lpj=2830549)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830455)
Total of 4 processors activated (22643.81 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61318118Makoto KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)
1200Dmitry DomanovJune 26, 2009 08:41:04 UTC 2009 年 6 月 26 日 (金) 17 時 41 分 4 秒 (日本時間)
403e62500Dmitry DomanovJune 26, 2009 08:41:04 UTC 2009 年 6 月 26 日 (金) 17 時 41 分 4 秒 (日本時間)

56×10202+619

c131

name 名前Erik Branger
date 日付October 10, 2010 21:59:23 UTC 2010 年 10 月 11 日 (月) 6 時 59 分 23 秒 (日本時間)
composite number 合成数
26162416726915977316434924783694215691323111701322415965626973690778855896787041219293447896744657569020451001529666599914969576823<131>
prime factors 素因数
92317791997469484527030207454507455031103119915536257247<56>
283395174005386883486343813670080593664313210489631168530816177379941512809<75>
factorization results 素因数分解の結果
Number: 62229_202
N = 26162416726915977316434924783694215691323111701322415965626973690778855896787041219293447896744657569020451001529666599914969576823 (131 digits)
Divisors found:
r1=92317791997469484527030207454507455031103119915536257247 (pp56)
r2=283395174005386883486343813670080593664313210489631168530816177379941512809 (pp75)
Version: Msieve v. 1.47
Total time: 130.58 hours.
Factorization parameters were as follows:
# Murphy_E = 7.540377e-11, selected by Jeff Gilchrist
n: 26162416726915977316434924783694215691323111701322415965626973690778855896787041219293447896744657569020451001529666599914969576823
Y0: -14409151452125978942057496
Y1: 223845488142281
c0: -121325131323099180909652384477105
c1: 719965104559165303929902238
c2: 4852016030299408215477
c3: -58154120580746486
c4: -15821216796
c5: 42120
skew: 477174.33
type: gnfs
# selected mechanically
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [5000000, 10100000)
Relations: 19097291
Relations in full relation-set: 2660520 relations
Pruned matrix : 1536380 x 1536605
Polynomial selection time: 0.00 hours.
Total sieving time: 126.69 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.96 hours.
time per square root: 1.80 hours.
Prototype def-par.txt line would be: gnfs,130,5,65,2000,1e-05,0.28,250,20,50000,3600,10000000,10000000,28,28,54,54,2.6,2.6,100000
total time: 130.58 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
351e6904118Makoto KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)
786Wataru SakaiMay 27, 2009 14:30:52 UTC 2009 年 5 月 27 日 (水) 23 時 30 分 52 秒 (日本時間)
403e62104Wataru SakaiAugust 27, 2009 13:25:19 UTC 2009 年 8 月 27 日 (木) 22 時 25 分 19 秒 (日本時間)
4511e64000Wataru SakaiSeptember 2, 2010 06:38:49 UTC 2010 年 9 月 2 日 (木) 15 時 38 分 49 秒 (日本時間)

56×10203+619

c178

composite cofactor 合成数の残り
2086124114778088908081155208724062967096185714922287707357311815931129391355578208790630127306136912456288083288627863642649175089762881682830332354077528075703441804478989319927<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 7, 2011 20:11:16 UTC 2011 年 6 月 8 日 (水) 5 時 11 分 16 秒 (日本時間)
403e62710110Ignacio SantosJune 7, 2011 20:11:16 UTC 2011 年 6 月 8 日 (水) 5 時 11 分 16 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:53:53 UTC 2014 年 1 月 9 日 (木) 13 時 53 分 53 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:37 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 37 秒 (日本時間)
1000Dmitry DomanovJune 5, 2014 11:40:38 UTC 2014 年 6 月 5 日 (木) 20 時 40 分 38 秒 (日本時間)
4511e632 / 3862Ignacio SantosJune 7, 2011 20:11:16 UTC 2011 年 6 月 8 日 (水) 5 時 11 分 16 秒 (日本時間)

56×10204+619

c189

name 名前Ignacio Santos
date 日付June 7, 2011 20:13:16 UTC 2011 年 6 月 8 日 (水) 5 時 13 分 16 秒 (日本時間)
composite number 合成数
423269439697059145219949287583074331914430089951056329553423028404978007538587438557186552569841644877192237741729715894591717144670695096206155264951132759113733177130988490688367057057279<189>
prime factors 素因数
17821655691105249560769782628631<32>
composite cofactor 合成数の残り
23750287124462404581865254923966949945528014557933661478136047259558664625759187657815171994747191422114238301880935452214599069056970443892777074811346891609<158>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4726560
Step 1 took 9953ms
Step 2 took 7254ms
********** Factor found in step 2: 17821655691105249560769782628631
Found probable prime factor of 32 digits: 17821655691105249560769782628631
Composite cofactor 23750287124462404581865254923966949945528014557933661478136047259558664625759187657815171994747191422114238301880935452214599069056970443892777074811346891609 has 158 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
351e6418118Makoto KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 9, 2011 05:36:30 UTC 2011 年 6 月 9 日 (木) 14 時 36 分 30 秒 (日本時間)
403e62710110Ignacio SantosJune 9, 2011 05:36:30 UTC 2011 年 6 月 9 日 (木) 14 時 36 分 30 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:53:54 UTC 2014 年 1 月 9 日 (木) 13 時 53 分 54 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:37 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 37 秒 (日本時間)
1000Dmitry DomanovJune 5, 2014 11:40:57 UTC 2014 年 6 月 5 日 (木) 20 時 40 分 57 秒 (日本時間)
4511e61532 / 386232Ignacio SantosJune 9, 2011 05:36:30 UTC 2011 年 6 月 9 日 (木) 14 時 36 分 30 秒 (日本時間)
1500Dmitry DomanovJune 11, 2014 14:48:27 UTC 2014 年 6 月 11 日 (水) 23 時 48 分 27 秒 (日本時間)

56×10205+619

c155

composite cofactor 合成数の残り
28926593223366086063487905782843482202543716612895453018457124985958248882152151769756705902732275208232727850263099427273185782481505102254361643068004291<155>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 24, 2009 17:00:00 UTC 2009 年 5 月 25 日 (月) 2 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 7, 2011 21:15:29 UTC 2011 年 6 月 8 日 (水) 6 時 15 分 29 秒 (日本時間)
403e62710110Ignacio SantosJune 7, 2011 21:15:29 UTC 2011 年 6 月 8 日 (水) 6 時 15 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:53:55 UTC 2014 年 1 月 9 日 (木) 13 時 53 分 55 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:37 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 37 秒 (日本時間)
1000Dmitry DomanovJune 5, 2014 11:41:13 UTC 2014 年 6 月 5 日 (木) 20 時 41 分 13 秒 (日本時間)
4511e61532 / 386232Ignacio SantosJune 7, 2011 21:15:29 UTC 2011 年 6 月 8 日 (水) 6 時 15 分 29 秒 (日本時間)
1500Dmitry DomanovJune 11, 2014 14:48:44 UTC 2014 年 6 月 11 日 (水) 23 時 48 分 44 秒 (日本時間)

56×10206+619

c193

name 名前Serge Batalov
date 日付May 26, 2014 21:05:06 UTC 2014 年 5 月 27 日 (火) 6 時 5 分 6 秒 (日本時間)
composite number 合成数
3306602667550783792453928550952884882289226506137886851083692997667584553220011055111335894089403993709706195960004596100355996159874928075045170772140746570935279917427696573026106755670124973<193>
prime factors 素因数
15709519221106654546606521494392356033026051<44>
composite cofactor 合成数の残り
210484014247117786784780024983042447682983441152230631295681103913791100864876023948096270041026083768926325418742887995324969752819285789902532935823<150>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2502328052
Step 1 took 15604ms
Step 2 took 6498ms
********** Factor found in step 2: 15709519221106654546606521494392356033026051
Found probable prime factor of 44 digits: 15709519221106654546606521494392356033026051
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 29, 2013 13:00:00 UTC 2013 年 10 月 29 日 (火) 22 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 1, 2014 02:25:43 UTC 2014 年 1 月 1 日 (水) 11 時 25 分 43 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:53:55 UTC 2014 年 1 月 9 日 (木) 13 時 53 分 55 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:38 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 38 秒 (日本時間)
1000Dmitry DomanovJune 5, 2014 11:41:30 UTC 2014 年 6 月 5 日 (木) 20 時 41 分 30 秒 (日本時間)
4511e61500 / 3836Dmitry DomanovJune 11, 2014 14:48:59 UTC 2014 年 6 月 11 日 (水) 23 時 48 分 59 秒 (日本時間)

56×10210+619

c200

composite cofactor 合成数の残り
53351923620728826000495195385255328306241914601344310795346988610404946724460104431434836988390191042546827026236376953827938063119728428885690530260809934567171526324831974235569615222253386346964563<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 29, 2013 13:00:00 UTC 2013 年 10 月 29 日 (火) 22 時 0 分 0 秒 (日本時間)
403e62050290CypJanuary 2, 2014 06:09:42 UTC 2014 年 1 月 2 日 (木) 15 時 9 分 42 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:53:56 UTC 2014 年 1 月 9 日 (木) 13 時 53 分 56 秒 (日本時間)
160CypFebruary 21, 2014 20:19:06 UTC 2014 年 2 月 22 日 (土) 5 時 19 分 6 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:38 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 38 秒 (日本時間)
4511e60 / 3885--
5043e639 / 7475CypJanuary 26, 2014 10:54:34 UTC 2014 年 1 月 26 日 (日) 19 時 54 分 34 秒 (日本時間)

56×10211+619

c201

name 名前Serge Batalov
date 日付October 31, 2013 05:25:46 UTC 2013 年 10 月 31 日 (木) 14 時 25 分 46 秒 (日本時間)
composite number 合成数
154764407925613636529243017019831287862605457474071530988694693563463779777205484219998240226775050454219140482266002204163093092989347683497772225671181087196015039632364599861923172638778198928491883<201>
prime factors 素因数
279280119293101442240854729676544541<36>
554154761596868542871695887226095901805535676393250228395376655534203454249604537616750060096140174824574439859860478547148711329806587237541586526207683922242733863<165>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1427863714
Step 1 took 18453ms
Step 2 took 120ms
********** Factor found in step 2: 279280119293101442240854729676544541
Found probable prime factor of 36 digits: 279280119293101442240854729676544541
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 29, 2013 13:00:00 UTC 2013 年 10 月 29 日 (火) 22 時 0 分 0 秒 (日本時間)

56×10212+619

c175

name 名前Serge Batalov
date 日付October 29, 2013 15:15:54 UTC 2013 年 10 月 30 日 (水) 0 時 15 分 54 秒 (日本時間)
composite number 合成数
1764722712671245695390323159893908797345232014905925291903540697604756486510573413730815051995624289449788831335974032396225042163545273757912081212493248406496437881508180339<175>
prime factors 素因数
8492680639357389567524855284649327<34>
207793367914135516275705928765938242485616957644268725490826551069123663512079702610594286334887499475919264963715594340203883751073632068157<141>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3767243415
Step 1 took 4885ms
Step 2 took 3468ms
********** Factor found in step 2: 8492680639357389567524855284649327
Found probable prime factor of 34 digits: 8492680639357389567524855284649327
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 29, 2013 13:00:00 UTC 2013 年 10 月 29 日 (火) 22 時 0 分 0 秒 (日本時間)

56×10213+619

c165

name 名前Dmitry Domanov
date 日付June 19, 2014 09:41:43 UTC 2014 年 6 月 19 日 (木) 18 時 41 分 43 秒 (日本時間)
composite number 合成数
137980201681326927427193049697734832593029226573738778281019587484386219726663590402747600852136327411017435328092888190417904406530400699269325191812656694554584511<165>
prime factors 素因数
2627328733278348255993346476624648069114586847<46>
345881687448359681899932240026468729173127807408870872687<57>
151836012864504020292933209952581305679884937570396086807391599<63>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4124393530
Step 1 took 71257ms
Step 2 took 26970ms
********** Factor found in step 2: 2627328733278348255993346476624648069114586847
Found probable prime factor of 46 digits: 2627328733278348255993346476624648069114586847
Composite cofactor 52517296345005499386085014772321898356329609942432608702088648796004196395134257285168130347307371434281403765282356513 has 119 digits

N=52517296345005499386085014772321898356329609942432608702088648796004196395134257285168130347307371434281403765282356513
  ( 119 digits)
Divisors found:
 r1=345881687448359681899932240026468729173127807408870872687 (pp57)
 r2=151836012864504020292933209952581305679884937570396086807391599 (pp63)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 36.14 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 52517296345005499386085014772321898356329609942432608702088648796004196395134257285168130347307371434281403765282356513
skew: 44711.81
c0: -4548572140591742083896642468
c1: 318410795285719434762668
c2: 15906491017803723279
c3: -563004072137538
c4: -9787156016
c5: 55440
Y0: -62416057186196212411639
Y1: 2048260900577
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 240000
type: gnfs
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2650000, 4330001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 812892 x 813117
Total sieving time: 35.21 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.66 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5300000,5300000,27,27,54,54,2.5,2.5,100000
total time: 36.14 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 KamadaOctober 29, 2013 13:00:00 UTC 2013 年 10 月 29 日 (火) 22 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:29 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 29 秒 (日本時間)
403e62600300Serge BatalovJanuary 9, 2014 04:53:57 UTC 2014 年 1 月 9 日 (木) 13 時 53 分 57 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:39 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 39 秒 (日本時間)
1000Dmitry DomanovJune 5, 2014 11:42:06 UTC 2014 年 6 月 5 日 (木) 20 時 42 分 6 秒 (日本時間)
4511e61500 / 3863Dmitry DomanovJune 11, 2014 14:49:16 UTC 2014 年 6 月 11 日 (水) 23 時 49 分 16 秒 (日本時間)

56×10214+619

c199

composite cofactor 合成数の残り
1562046582007404741908903404163795689602697912275624468083528284206927363672379283300994016784078903837465862379943704435641313777094879837756828979678192189615738241015418533336654604390521192314331<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 29, 2013 13:00:00 UTC 2013 年 10 月 29 日 (火) 22 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 6, 2014 11:11:16 UTC 2014 年 1 月 6 日 (月) 20 時 11 分 16 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:53:57 UTC 2014 年 1 月 9 日 (木) 13 時 53 分 57 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:39 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 39 秒 (日本時間)
1000Dmitry DomanovJune 5, 2014 11:42:24 UTC 2014 年 6 月 5 日 (木) 20 時 42 分 24 秒 (日本時間)
4511e60 / 3699--
5043e639 / 7444CypJanuary 22, 2014 04:56:54 UTC 2014 年 1 月 22 日 (水) 13 時 56 分 54 秒 (日本時間)

56×10219+619

c176

name 名前Serge Batalov
date 日付October 30, 2013 15:19:59 UTC 2013 年 10 月 31 日 (木) 0 時 19 分 59 秒 (日本時間)
composite number 合成数
46364237190203836169655693124532557047550220078859990583220918697856866265732560968572668564030062990459237901478456756429358769994557918643909038286737559224738167269721285563<176>
prime factors 素因数
883527056149008470826985671922331<33>
composite cofactor 合成数の残り
52476307168554238234694467386379361620079774747179498531756431272250368251456760090373198476915087347195087189491516803704219780864711472133473<143>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3712231858
Step 1 took 14701ms
Step 2 took 11069ms
********** Factor found in step 2: 883527056149008470826985671922331
Found probable prime factor of 33 digits: 883527056149008470826985671922331
Composite cofactor

c143

name 名前Serge Batalov
date 日付November 8, 2013 01:58:28 UTC 2013 年 11 月 8 日 (金) 10 時 58 分 28 秒 (日本時間)
composite number 合成数
52476307168554238234694467386379361620079774747179498531756431272250368251456760090373198476915087347195087189491516803704219780864711472133473<143>
prime factors 素因数
136290558065428330160663330647594859<36>
385032594432273133136360914686591971792135411926990015966816221755408802474363721568262922796665431831278947<108>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=274773542
Step 1 took 33917ms
Step 2 took 13274ms
********** Factor found in step 2: 136290558065428330160663330647594859
Found probable prime factor of 36 digits: 136290558065428330160663330647594859
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 29, 2013 13:00:00 UTC 2013 年 10 月 29 日 (火) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 2, 2013 23:00:31 UTC 2013 年 11 月 3 日 (日) 8 時 0 分 31 秒 (日本時間)
403e6110 / 2126Ignacio SantosNovember 2, 2013 23:00:31 UTC 2013 年 11 月 3 日 (日) 8 時 0 分 31 秒 (日本時間)
4511e632 / 4437Ignacio SantosNovember 2, 2013 23:00:31 UTC 2013 年 11 月 3 日 (日) 8 時 0 分 31 秒 (日本時間)

56×10221+619

c177

name 名前Serge Batalov
date 日付October 30, 2013 15:20:58 UTC 2013 年 10 月 31 日 (木) 0 時 20 分 58 秒 (日本時間)
composite number 合成数
226144995419395479190821904076117969128959023731688298082515039262957445636538017037368353964174450220710341868071755204700320457202300943629957325179274213812240408108163032243<177>
prime factors 素因数
19188506414197215874149273607026337<35>
11785440228535715530960617163548942659802524504311401022777361659576963329756059274412013949216995226025737882085121877861588942734898561392339<143>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2705321606
Step 1 took 14689ms
Step 2 took 11045ms
********** Factor found in step 2: 19188506414197215874149273607026337
Found probable prime factor of 35 digits: 19188506414197215874149273607026337
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 29, 2013 13:00:00 UTC 2013 年 10 月 29 日 (火) 22 時 0 分 0 秒 (日本時間)

56×10223+619

c220

name 名前Serge Batalov
date 日付October 31, 2013 04:48:36 UTC 2013 年 10 月 31 日 (木) 13 時 48 分 36 秒 (日本時間)
composite number 合成数
1878179909511975073869486619645091074956147853005590939123493682943107918205264940753485532983857714456283685659761001606514601171850107827650162160711830185705038552996535428845489517408380036289118965927804105835437901<220>
prime factors 素因数
2199766378585290996378402414224131799<37>
composite cofactor 合成数の残り
853808807969810904136011821256256880222391770376740239491829752660667297805244079732730388575864883002415334512850830118649894827032661511425235622738130920294543961341628450025970299<183>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2809752958
Step 1 took 20729ms
Step 2 took 14561ms
********** Factor found in step 2: 2199766378585290996378402414224131799
Found probable prime factor of 37 digits: 2199766378585290996378402414224131799
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 29, 2013 13:00:00 UTC 2013 年 10 月 29 日 (火) 22 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:29 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 29 秒 (日本時間)
403e62600300Serge BatalovJanuary 9, 2014 04:53:59 UTC 2014 年 1 月 9 日 (木) 13 時 53 分 59 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:39 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 39 秒 (日本時間)
1000Dmitry DomanovJune 5, 2014 11:42:42 UTC 2014 年 6 月 5 日 (木) 20 時 42 分 42 秒 (日本時間)
4511e61500 / 3698Dmitry DomanovJune 11, 2014 14:49:34 UTC 2014 年 6 月 11 日 (水) 23 時 49 分 34 秒 (日本時間)
5043e647 / 7113CypJanuary 11, 2014 10:37:44 UTC 2014 年 1 月 11 日 (土) 19 時 37 分 44 秒 (日本時間)

56×10224+619

c196

composite cofactor 合成数の残り
5590869977074848935650532886277805442000562704529912528611946598912783585168548771415266878142927550109929790561417726618396911608811994858451482381719003833338834346921485541336858762577440861079<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 29, 2013 13:00:00 UTC 2013 年 10 月 29 日 (火) 22 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 3, 2014 17:41:21 UTC 2014 年 1 月 4 日 (土) 2 時 41 分 21 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:01 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 1 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:40 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 40 秒 (日本時間)
1000Dmitry DomanovJune 5, 2014 11:42:58 UTC 2014 年 6 月 5 日 (木) 20 時 42 分 58 秒 (日本時間)
4511e60 / 3699--
5043e639 / 7444CypJanuary 28, 2014 09:51:16 UTC 2014 年 1 月 28 日 (火) 18 時 51 分 16 秒 (日本時間)

56×10225+619

c214

composite cofactor 合成数の残り
5091034711681961011648101039456670134938954120665844649842938213575202777517703626383166796877522015604062603413024234450174727728611973884660644065097574661969126401511769128788577015179790821367372684222552047839<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 29, 2013 13:00:00 UTC 2013 年 10 月 29 日 (火) 22 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 5, 2014 13:11:52 UTC 2014 年 1 月 5 日 (日) 22 時 11 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:02 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 2 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:40 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 40 秒 (日本時間)
1000Dmitry DomanovJune 5, 2014 11:43:18 UTC 2014 年 6 月 5 日 (木) 20 時 43 分 18 秒 (日本時間)

56×10226+619

c158

composite cofactor 合成数の残り
95113178482631182332278771549186703157706725557660972109122655497448300213028326640543351344180245064995405931110113357993762793878944717192867802824766072843<158>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 29, 2013 13:00:00 UTC 2013 年 10 月 29 日 (火) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 29, 2013 18:07:25 UTC 2013 年 10 月 30 日 (水) 3 時 7 分 25 秒 (日本時間)
403e6110Ignacio SantosOctober 29, 2013 18:07:25 UTC 2013 年 10 月 30 日 (水) 3 時 7 分 25 秒 (日本時間)
4511e6444432Ignacio SantosOctober 29, 2013 18:07:25 UTC 2013 年 10 月 30 日 (水) 3 時 7 分 25 秒 (日本時間)
230Ignacio SantosOctober 30, 2013 16:00:06 UTC 2013 年 10 月 31 日 (木) 1 時 0 分 6 秒 (日本時間)
230Ignacio SantosOctober 30, 2013 20:11:40 UTC 2013 年 10 月 31 日 (木) 5 時 11 分 40 秒 (日本時間)
230Ignacio SantosOctober 30, 2013 23:30:38 UTC 2013 年 10 月 31 日 (木) 8 時 30 分 38 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:12:33 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 33 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:22 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 22 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:11 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 11 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:22 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 22 秒 (日本時間)
1272Ignacio SantosJanuary 13, 2016 23:25:18 UTC 2016 年 1 月 14 日 (木) 8 時 25 分 18 秒 (日本時間)

56×10232+619

c188

composite cofactor 合成数の残り
13368997579573102191562848141119522212877257821353159462334297069121693099988684369605188045597029284891468122895199047858174595867767927722983174457629774030262265279428006852148783717741<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 29, 2013 13:00:00 UTC 2013 年 10 月 29 日 (火) 22 時 0 分 0 秒 (日本時間)
403e62890290CypJanuary 2, 2014 20:00:05 UTC 2014 年 1 月 3 日 (金) 5 時 0 分 5 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:03 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 3 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:40 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 40 秒 (日本時間)
1000Dmitry DomanovJune 5, 2014 11:43:43 UTC 2014 年 6 月 5 日 (木) 20 時 43 分 43 秒 (日本時間)
4511e60 / 3699--
5043e639 / 7444CypJanuary 31, 2014 22:33:45 UTC 2014 年 2 月 1 日 (土) 7 時 33 分 45 秒 (日本時間)

56×10233+619

c184

composite cofactor 合成数の残り
1712611432965062261334900790514149418027429760623949307377898368976521166670019540534024891578610679997698511313590805398195678799281414198605695008710845211553847736464255654900206353<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 29, 2013 13:00:00 UTC 2013 年 10 月 29 日 (火) 22 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:30 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 30 秒 (日本時間)
403e62600300Serge BatalovJanuary 9, 2014 04:54:04 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 4 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:41 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 41 秒 (日本時間)
1000Dmitry DomanovJune 5, 2014 11:44:00 UTC 2014 年 6 月 5 日 (木) 20 時 44 分 0 秒 (日本時間)
4511e61500 / 3863Dmitry DomanovJune 11, 2014 14:50:00 UTC 2014 年 6 月 11 日 (水) 23 時 50 分 0 秒 (日本時間)

56×10234+619

c193

name 名前Cyp
date 日付January 3, 2014 20:23:16 UTC 2014 年 1 月 4 日 (土) 5 時 23 分 16 秒 (日本時間)
composite number 合成数
1080840541743924651202586623540393164207744718652179011654466899642400725851142050763841082670509563672208402398198548834891710666415147154502717547336796890093875596052426800242921756209364073<193>
prime factors 素因数
775090599465233288728021098733973151885847433<45>
composite cofactor 合成数の残り
1394469940016871259944376249519171441093987962810954190383191062799803089937433962058932791764086589569752126659850290524620748873328755889371034081<148>
factorization results 素因数分解の結果
Run 251 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=97523392
Step 1 took 15977ms
Step 2 took 2795ms
********** Factor found in step 2: 775090599465233288728021098733973151885847433
Found probable prime factor of 45 digits: 775090599465233288728021098733973151885847433
Composite cofactor 1394469940016871259944376249519171441093987962810954190383191062799803089937433962058932791764086589569752126659850290524620748873328755889371034081 has 148 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 29, 2013 13:00:00 UTC 2013 年 10 月 29 日 (火) 22 時 0 分 0 秒 (日本時間)
403e6290CypJanuary 3, 2014 20:23:15 UTC 2014 年 1 月 4 日 (土) 5 時 23 分 15 秒 (日本時間)
4511e62660500Serge BatalovJanuary 4, 2014 22:39:03 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 3 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:01:49 UTC 2014 年 5 月 25 日 (日) 4 時 1 分 49 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:23 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 23 秒 (日本時間)
960Ignacio SantosJanuary 5, 2016 17:37:26 UTC 2016 年 1 月 6 日 (水) 2 時 37 分 26 秒 (日本時間)
5043e6500 / 6945Serge BatalovJanuary 4, 2014 23:01:04 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 4 秒 (日本時間)

56×10235+619

c224

composite cofactor 合成数の残り
97677190216406856276446096326227185905825510605941228851105607606716568116120805229202158040424615877947997348045522534007496168875324279585465316047634438290453996286376455463979728274803478482631105070385062320403032759199<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 29, 2013 13:00:00 UTC 2013 年 10 月 29 日 (火) 22 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 4, 2014 23:52:25 UTC 2014 年 1 月 5 日 (日) 8 時 52 分 25 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:05 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 5 秒 (日本時間)
4511e6801 / 4345501CypFebruary 17, 2014 02:19:42 UTC 2014 年 2 月 17 日 (月) 11 時 19 分 42 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:23 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 23 秒 (日本時間)

56×10236+619

c184

name 名前Cyp
date 日付January 2, 2014 03:34:43 UTC 2014 年 1 月 2 日 (木) 12 時 34 分 43 秒 (日本時間)
composite number 合成数
5332772062098061951774459905559694932403324928080998810822302991278585362544286661912001802097223077831750350360898410235365688235194374408411551789864481196489827057987243369128735397<184>
prime factors 素因数
867673985036585951049291403409361209<36>
6146055032263301847430430505646623476851913709419407097960306325790622377626886901020126503944378090698707403892438006370106071438478748207249379533<148>
factorization results 素因数分解の結果
Run 145 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2795812730
Step 1 took 16129ms
Step 2 took 5676ms
********** Factor found in step 2: 867673985036585951049291403409361209
Found probable prime factor of 36 digits: 867673985036585951049291403409361209
Probable prime cofactor 6146055032263301847430430505646623476851913709419407097960306325790622377626886901020126503944378090698707403892438006370106071438478748207249379533 has 148 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 497Makoto KamadaOctober 29, 2013 13:00:00 UTC 2013 年 10 月 29 日 (火) 22 時 0 分 0 秒 (日本時間)
403e6145 / 2318CypJanuary 2, 2014 03:34:42 UTC 2014 年 1 月 2 日 (木) 12 時 34 分 42 秒 (日本時間)

56×10237+619

c230

composite cofactor 合成数の残り
43830392850504034138009019385367982082266893892502356484326902319725028715540577426714176276615312403367436173158569691524880648490135440602194721296185813703365539178102288144604518283127915505277680609318913350106739412157525189<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 29, 2013 13:00:00 UTC 2013 年 10 月 29 日 (火) 22 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 5, 2014 04:51:39 UTC 2014 年 1 月 5 日 (日) 13 時 51 分 39 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:05 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 5 秒 (日本時間)
4511e6801 / 4345501CypMarch 11, 2014 10:15:43 UTC 2014 年 3 月 11 日 (火) 19 時 15 分 43 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:24 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 24 秒 (日本時間)

56×10238+619

c202

name 名前Serge Batalov
date 日付October 30, 2013 15:19:16 UTC 2013 年 10 月 31 日 (木) 0 時 19 分 16 秒 (日本時間)
composite number 合成数
9417170087800733026949298490878723926454309840946314986958377492201640152810121484855981198050766181029830561356349973873256888390388259646413302300298221998051882052672477613962330440859940248737873291<202>
prime factors 素因数
1018626279118966235932398039938531<34>
composite cofactor 合成数の残り
9244970683404971985254701492947168773584461753510299311326104864142796851739754745951673657258149078785646245944020771627738206330285923813858643898561613795278401595961<169>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3925899322
Step 1 took 16657ms
Step 2 took 12728ms
********** Factor found in step 2: 1018626279118966235932398039938531
Found probable prime factor of 34 digits: 1018626279118966235932398039938531
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 29, 2013 13:00:00 UTC 2013 年 10 月 29 日 (火) 22 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:31 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 31 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 04:54:06 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 6 秒 (日本時間)
4511e62192 / 4207392CypFebruary 17, 2014 04:24:31 UTC 2014 年 2 月 17 日 (月) 13 時 24 分 31 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:24 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 24 秒 (日本時間)
1500Dmitry DomanovJune 11, 2014 14:50:24 UTC 2014 年 6 月 11 日 (水) 23 時 50 分 24 秒 (日本時間)
5043e647 / 7045CypFebruary 1, 2014 08:24:43 UTC 2014 年 2 月 1 日 (土) 17 時 24 分 43 秒 (日本時間)

56×10239+619

c202

name 名前Cyp
date 日付February 15, 2014 00:03:06 UTC 2014 年 2 月 15 日 (土) 9 時 3 分 6 秒 (日本時間)
composite number 合成数
1653329302244244413529574575165081499403987898046209169474657441294658645294834100832788227767131128271729523395473056207822376001149221142998909860486343113915393905134514277898151145829669395746442977<202>
prime factors 素因数
19943701020563251279708950914862569994771191519<47>
composite cofactor 合成数の残り
82899823886226257800068594238769986298011377416240054450235692196976385194171045106365804804334583180832801474837037982774125641651747613175950020203205183<155>
factorization results 素因数分解の結果
Run 369 out of 522:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1674550922
Step 1 took 69523ms
Step 2 took 21336ms
********** Factor found in step 2: 19943701020563251279708950914862569994771191519
Found probable prime factor of 47 digits: 19943701020563251279708950914862569994771191519
Composite cofactor 82899823886226257800068594238769986298011377416240054450235692196976385194171045106365804804334583180832801474837037982774125641651747613175950020203205183 has 155 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 29, 2013 13:00:00 UTC 2013 年 10 月 29 日 (火) 22 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:31 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 31 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 04:54:07 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 7 秒 (日本時間)
4511e64378522CypFebruary 15, 2014 17:06:05 UTC 2014 年 2 月 16 日 (日) 2 時 6 分 5 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:48 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 48 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:25 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 25 秒 (日本時間)
1500Dmitry DomanovJune 11, 2014 14:50:39 UTC 2014 年 6 月 11 日 (水) 23 時 50 分 39 秒 (日本時間)
1156Ignacio SantosJanuary 10, 2016 00:07:59 UTC 2016 年 1 月 10 日 (日) 9 時 7 分 59 秒 (日本時間)

56×10240+619

c239

composite cofactor 合成数の残り
16504568228706159740642499263188918361332154435602711464780430297671676982021809608016504568228706159740642499263188918361332154435602711464780430297671676982021809608016504568228706159740642499263188918361332154435602711464780430297671677<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 29, 2013 13:00:00 UTC 2013 年 10 月 29 日 (火) 22 時 0 分 0 秒 (日本時間)
403e60--
4511e62050850Serge BatalovNovember 8, 2013 17:17:29 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 29 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:30:00 UTC 2014 年 1 月 6 日 (月) 11 時 30 分 0 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:17 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 17 秒 (日本時間)
5043e63200 / 7093Serge BatalovFebruary 25, 2014 03:53:40 UTC 2014 年 2 月 25 日 (火) 12 時 53 分 40 秒 (日本時間)

56×10241+619

c237

composite cofactor 合成数の残り
737763338695291884208043991773938773547495491080309491720582674945425274454549167315503174358508189831776784432139605902633683375688853581643394185634430361069282564676154830176101474077499403860873643536468564035881646951258874568375511<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 29, 2013 13:00:00 UTC 2013 年 10 月 29 日 (火) 22 時 0 分 0 秒 (日本時間)
403e60--
4511e62050850Serge BatalovNovember 8, 2013 17:17:33 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 33 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:30:03 UTC 2014 年 1 月 6 日 (月) 11 時 30 分 3 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:18 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 18 秒 (日本時間)
5043e6700 / 7093Dmitry DomanovMay 13, 2014 09:05:18 UTC 2014 年 5 月 13 日 (火) 18 時 5 分 18 秒 (日本時間)

56×10242+619

c232

composite cofactor 合成数の残り
1684292330245973649173772175784963500488036687229187867357278221059672977936366008566771955081774152897883187798484725950996966912704563090169123479618456894898941424662767124134619106132715804620510800947771565048523667735658048771<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 29, 2013 13:00:00 UTC 2013 年 10 月 29 日 (火) 22 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:32 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 32 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 04:54:08 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 8 秒 (日本時間)
4511e6700 / 421710CypJanuary 10, 2014 18:08:27 UTC 2014 年 1 月 11 日 (土) 3 時 8 分 27 秒 (日本時間)
390CypMarch 10, 2014 21:16:04 UTC 2014 年 3 月 11 日 (火) 6 時 16 分 4 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:25 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 25 秒 (日本時間)
5043e644 / 7380CypJanuary 11, 2014 14:44:26 UTC 2014 年 1 月 11 日 (土) 23 時 44 分 26 秒 (日本時間)

56×10243+619

c226

composite cofactor 合成数の残り
1713589390446254493385016571647265094096877025829901863579999899546194480047794931328988193432310732248001056078418008910656204573495791343665464516051450389070874768438520079497506259672941481476777674187829287644598415784663<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 29, 2013 13:00:00 UTC 2013 年 10 月 29 日 (火) 22 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:33 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 33 秒 (日本時間)
403e62600300Serge BatalovJanuary 9, 2014 04:54:08 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 8 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:41 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 41 秒 (日本時間)
1000Dmitry DomanovJune 5, 2014 11:44:44 UTC 2014 年 6 月 5 日 (木) 20 時 44 分 44 秒 (日本時間)

56×10245+619

c202

composite cofactor 合成数の残り
2747269643752883127576744082142838577078736676381699642514698576051485495154059309473052206130194840420904794930147880697965170299177383420436352290823035265387305864299079279200909172872445570901563509<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 29, 2013 13:00:00 UTC 2013 年 10 月 29 日 (火) 22 時 0 分 0 秒 (日本時間)
403e6290CypJanuary 1, 2014 17:02:20 UTC 2014 年 1 月 2 日 (木) 2 時 2 分 20 秒 (日本時間)
4511e6898 / 4411598CypJanuary 8, 2014 16:55:37 UTC 2014 年 1 月 9 日 (木) 1 時 55 分 37 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:26 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 26 秒 (日本時間)

56×10246+619

c237

composite cofactor 合成数の残り
106081845647796848377908894461251285532830638155106470382275388386182365398065773186218582199352777191432586846013205834015488317989121482964861790290488156986857382598109972724436512215429186503291339858610184310666545228663092959487753<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 29, 2013 13:00:00 UTC 2013 年 10 月 29 日 (火) 22 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 6, 2014 01:19:17 UTC 2014 年 1 月 6 日 (月) 10 時 19 分 17 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:10 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 10 秒 (日本時間)
4511e6801 / 4345501CypFebruary 17, 2014 22:46:05 UTC 2014 年 2 月 18 日 (火) 7 時 46 分 5 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:26 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 26 秒 (日本時間)

56×10248+619

c234

name 名前Serge Batalov
date 日付October 30, 2013 15:18:19 UTC 2013 年 10 月 31 日 (木) 0 時 18 分 19 秒 (日本時間)
composite number 合成数
279081490803615968009209261596564865405614519461469012924873633803943185202214422661616325949557428246431442532427995353718586997298271344981229126925844359220175856790727615526328231017691608000776791058658119546232875246600689311279<234>
prime factors 素因数
35791246671228576901238718157933351<35>
composite cofactor 合成数の残り
7797478902235627701929007222890158048637939482043809970525885217114072920862677149920900421388800810874821781980885648503995271056455182494926189270139596929240670011218395022383740983528882278259129<199>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4122637845
Step 1 took 22197ms
Step 2 took 15325ms
********** Factor found in step 2: 35791246671228576901238718157933351
Found probable prime factor of 35 digits: 35791246671228576901238718157933351
Composite cofactor

c199

name 名前Dmitry Domanov
date 日付June 16, 2014 05:44:20 UTC 2014 年 6 月 16 日 (月) 14 時 44 分 20 秒 (日本時間)
composite number 合成数
7797478902235627701929007222890158048637939482043809970525885217114072920862677149920900421388800810874821781980885648503995271056455182494926189270139596929240670011218395022383740983528882278259129<199>
prime factors 素因数
15618251917301793901137707718409101649<38>
499254266323981705131017876661167632428121590812168933032625848415177989001817855113254851207864279316655444981488347480171003232708018497535326253914364718700521<162>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2872581671
Step 1 took 98528ms
Step 2 took 32625ms
********** Factor found in step 2: 15618251917301793901137707718409101649
Found probable prime factor of 38 digits: 15618251917301793901137707718409101649

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 29, 2013 13:00:00 UTC 2013 年 10 月 29 日 (火) 22 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 4, 2014 14:17:59 UTC 2014 年 1 月 4 日 (土) 23 時 17 分 59 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:54:11 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 11 秒 (日本時間)
4511e62301 / 4345501CypMarch 8, 2014 12:44:41 UTC 2014 年 3 月 8 日 (土) 21 時 44 分 41 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:34:26 UTC 2014 年 5 月 27 日 (火) 9 時 34 分 26 秒 (日本時間)
1500Dmitry DomanovJune 11, 2014 14:50:57 UTC 2014 年 6 月 11 日 (水) 23 時 50 分 57 秒 (日本時間)

56×10249+619

c239

name 名前Serge Batalov
date 日付October 30, 2013 21:11:04 UTC 2013 年 10 月 31 日 (木) 6 時 11 分 4 秒 (日本時間)
composite number 合成数
27349401337095212131162146782313978245839335118072475024026489402795561904317762568160518274269028225924836716368433600844516058720373148972659337066707327992928979318809170545560745727161183422709377922830214130316840762117914371904718687<239>
prime factors 素因数
54434160322279483639502110001937851<35>
502430848113979490754183107271234191758600248993276162476357473987510756058172822264167376443419030100680749967141941296322680075449195736343252384246575421720890420482457800250941134906727204624418648237<204>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3937450992
Step 1 took 24338ms
Step 2 took 16401ms
********** Factor found in step 2: 54434160322279483639502110001937851
Found probable prime factor of 35 digits: 54434160322279483639502110001937851
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 29, 2013 13:00:00 UTC 2013 年 10 月 29 日 (火) 22 時 0 分 0 秒 (日本時間)

56×10250+619

c233

composite cofactor 合成数の残り
11855431531884222398427276541893541813212989031790290761551865667234814731399835942576661516803974301078100888742476182650465101995885123091176981534212033095438164494047211186573640515007324053234609555323658837254783407440292860941<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaOctober 29, 2013 13:00:00 UTC 2013 年 10 月 29 日 (火) 22 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:25:33 UTC 2014 年 1 月 7 日 (火) 5 時 25 分 33 秒 (日本時間)
403e63100300Serge BatalovJanuary 9, 2014 04:54:11 UTC 2014 年 1 月 9 日 (木) 13 時 54 分 11 秒 (日本時間)
1500Dmitry DomanovMay 22, 2014 09:37:40 UTC 2014 年 5 月 22 日 (木) 18 時 37 分 40 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:05:41 UTC 2014 年 5 月 27 日 (火) 3 時 5 分 41 秒 (日本時間)
4511e61500Dmitry DomanovMay 27, 2014 11:24:07 UTC 2014 年 5 月 27 日 (火) 20 時 24 分 7 秒 (日本時間)
5043e6320 / 6720Dmitry DomanovJune 2, 2014 12:57:43 UTC 2014 年 6 月 2 日 (月) 21 時 57 分 43 秒 (日本時間)
5511e7155 / 17536Dmitry DomanovJune 6, 2014 12:10:53 UTC 2014 年 6 月 6 日 (金) 21 時 10 分 53 秒 (日本時間)