Table of contents 目次

65×10152+439

c153

name 名前suberi
date 日付January 24, 2007 02:31:24 UTC 2007 年 1 月 24 日 (水) 11 時 31 分 24 秒 (日本時間)
composite number 合成数
722222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227<153>
prime factors 素因数
6550213397685364775986550762989701971314721157128662740183066777671<67>
110259342463168051908664963775205452537386095869746869361395515038990560570276567780437<87>
factorization results 素因数分解の結果
Number: 72227_152
N=722222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227
  ( 153 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=6550213397685364775986550762989701971314721157128662740183066777671 (pp67)
 r2=110259342463168051908664963775205452537386095869746869361395515038990560570276567780437 (pp87)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 43.65 hours.
Scaled time: 28.11 units (timescale=0.644).
Factorization parameters were as follows:
n: 722222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227
m: 1000000000000000000000000000000
c5: 6500
c0: 43
skew: 1
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 100000
)
Primes: RFBsize:176302, AFBsize:176528, largePrimes:5513675 encountered
Relations: rels:5400593, finalFF:452520
Max relations in full relation-set: 28
Initial matrix: 352897 x 452520 with sparse part having weight 40973848.
Pruned matrix : 314268 x 316096 with weight 25151271.
Total sieving time: 38.70 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 4.53 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 43.65 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.24GHz, Windows XP and Cygwin

65×10158+439

c148

name 名前Robert Backstrom
date 日付April 26, 2007 07:04:42 UTC 2007 年 4 月 26 日 (木) 16 時 4 分 42 秒 (日本時間)
composite number 合成数
5103403032154343834741178855604673819491372467573218373515476529946980780374398851423525859559148205166416041259945688339089065263392267437602072831<148>
prime factors 素因数
2283906434721397222715225004575163162522053541582590209420748519155831<70>
2234506175283351071706709697979013414681324521591035009309462144344402039107001<79>
factorization results 素因数分解の結果
Number: n
N=5103403032154343834741178855604673819491372467573218373515476529946980780374398851423525859559148205166416041259945688339089065263392267437602072831
  ( 148 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=2283906434721397222715225004575163162522053541582590209420748519155831 (pp70)
 r2=2234506175283351071706709697979013414681324521591035009309462144344402039107001 (pp79)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 48.27 hours.
Scaled time: 63.86 units (timescale=1.323).
Factorization parameters were as follows:
name: KA_7_2_157_7
n: 5103403032154343834741178855604673819491372467573218373515476529946980780374398851423525859559148205166416041259945688339089065263392267437602072831
skew: 1.16
deg: 5
c5: 104
c0: 215
m: 50000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 2000001)
Primes: RFBsize:216816, AFBsize:216546, largePrimes:7326828 encountered
Relations: rels:6829370, finalFF:530036
Max relations in full relation-set: 48
Initial matrix: 433428 x 530036 with sparse part having weight 48883949.
Pruned matrix : 366007 x 368238 with weight 29896532.
Total sieving time: 42.64 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 4.80 hours.
Total square root time: 0.60 hours, sqrts: 7.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 48.27 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

65×10160+439

c153

name 名前Robert Backstrom
date 日付June 10, 2007 07:45:59 UTC 2007 年 6 月 10 日 (日) 16 時 45 分 59 秒 (日本時間)
composite number 合成数
188070384038043145789855963382740207328959180189136326467303443069361466091139927156978142277394156582511341411629330403090273249350352884837936146356521<153>
prime factors 素因数
17352541246944072825111665711753<32>
2342545412736254376314836515222427<34>
4626678339400851524807725560482691036987427405150010526072468457028149806517927931218291<88>
factorization results 素因数分解の結果
Number: n
N=188070384038043145789855963382740207328959180189136326467303443069361466091139927156978142277394156582511341411629330403090273249350352884837936146356521
  ( 153 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=17352541246944072825111665711753 (pp32)
 r2=2342545412736254376314836515222427 (pp34)
 r3=4626678339400851524807725560482691036987427405150010526072468457028149806517927931218291 (pp88)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 39.23 hours.
Scaled time: 56.69 units (timescale=1.445).
Factorization parameters were as follows:
name: KA_7_2_159_7
n: 188070384038043145789855963382740207328959180189136326467303443069361466091139927156978142277394156582511341411629330403090273249350352884837936146356521
skew: 0.92
deg: 5
c5: 65
c0: 43
m: 100000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1700001)
Primes: RFBsize:250150, AFBsize:250296, largePrimes:7171287 encountered
Relations: rels:6695030, finalFF:564527
Max relations in full relation-set: 28
Initial matrix: 500512 x 564527 with sparse part having weight 35787677.
Pruned matrix : 445479 x 448045 with weight 23699811.
Total sieving time: 34.25 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 4.54 hours.
Total square root time: 0.23 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 39.23 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

65×10161+439

c158

name 名前Robert Backstrom
date 日付June 12, 2007 13:10:24 UTC 2007 年 6 月 12 日 (火) 22 時 10 分 24 秒 (日本時間)
composite number 合成数
19271078854289890392033039523500339467465971721915367351234683198287542285194178355317187134034800603629485343603335971988745689949094704011052704918275801751<158>
prime factors 素因数
52947769774827685110950551656087356218398433<44>
363963939109135155217567052297823083527155953215564045576179453409875651685542451308909281653467079298253731913847<114>
factorization results 素因数分解の結果
Number: n
N=19271078854289890392033039523500339467465971721915367351234683198287542285194178355317187134034800603629485343603335971988745689949094704011052704918275801751
  ( 158 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=52947769774827685110950551656087356218398433 (pp44)
 r2=363963939109135155217567052297823083527155953215564045576179453409875651685542451308909281653467079298253731913847 (pp114)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 51.24 hours.
Scaled time: 74.29 units (timescale=1.450).
Factorization parameters were as follows:
name: KA_7_2_160_7
n: 19271078854289890392033039523500339467465971721915367351234683198287542285194178355317187134034800603629485343603335971988745689949094704011052704918275801751
skew: 0.58
deg: 5
c5: 650
c0: 43
m: 100000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 2300001)
Primes: RFBsize:250150, AFBsize:249736, largePrimes:7540584 encountered
Relations: rels:7113733, finalFF:609923
Max relations in full relation-set: 28
Initial matrix: 499953 x 609923 with sparse part having weight 44644601.
Pruned matrix : 412583 x 415146 with weight 28053407.
Total sieving time: 45.96 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 4.95 hours.
Total square root time: 0.08 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 51.24 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

65×10162+439

c125

name 名前Robert Backstrom
date 日付February 15, 2008 01:00:40 UTC 2008 年 2 月 15 日 (金) 10 時 0 分 40 秒 (日本時間)
composite number 合成数
22092718465017248771037776619885496253769731032787367896536812757589874812967027353750731118374142593784616914591704075466651<125>
prime factors 素因数
137954707191964580423759095965459263169617010356229781<54>
160144723690182851686046435792735566441355086416901397233226149694716271<72>
factorization results 素因数分解の結果
Number: n
N=22092718465017248771037776619885496253769731032787367896536812757589874812967027353750731118374142593784616914591704075466651
  ( 125 digits)
SNFS difficulty: 163 digits.
Divisors found:

Fri Feb 15 11:54:20 2008  prp54 factor: 137954707191964580423759095965459263169617010356229781
Fri Feb 15 11:54:20 2008  prp72 factor: 160144723690182851686046435792735566441355086416901397233226149694716271
Fri Feb 15 11:54:20 2008  elapsed time 00:55:13 (Msieve 1.33)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 35.21 hours.
Scaled time: 64.41 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_7_2_161_7
n: 22092718465017248771037776619885496253769731032787367896536812757589874812967027353750731118374142593784616914591704075466651
skew: 0.37
deg: 5
c5: 6500
c0: 43
m: 100000000000000000000000000000000
type: snfs
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2300001)
Primes: RFBsize:230209, AFBsize:230052, largePrimes:7364839 encountered
Relations: rels:6841139, finalFF:523751
Max relations in full relation-set: 28
Initial matrix: 460328 x 523751 with sparse part having weight 47945873.
Pruned matrix : 
Total sieving time: 35.04 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000
total time: 35.21 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

65×10165+439

c129

name 名前Jo Yeong Uk
date 日付September 7, 2008 22:22:45 UTC 2008 年 9 月 8 日 (月) 7 時 22 分 45 秒 (日本時間)
composite number 合成数
161824745494397415085594949862446015318804831340450950581977528424876612513918227943180593176597511704495626812201425598050776499<129>
prime factors 素因数
2844021580936529047321181522766000025422187626149<49>
56899971005532573858733054130402004114671676641026019412601626011729833138572151<80>
factorization results 素因数分解の結果
Number: 72227_165
N=161824745494397415085594949862446015318804831340450950581977528424876612513918227943180593176597511704495626812201425598050776499
  ( 129 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=2844021580936529047321181522766000025422187626149 (pp49)
 r2=56899971005532573858733054130402004114671676641026019412601626011729833138572151 (pp80)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 45.38 hours.
Scaled time: 108.18 units (timescale=2.384).
Factorization parameters were as follows:
n: 161824745494397415085594949862446015318804831340450950581977528424876612513918227943180593176597511704495626812201425598050776499
m: 1000000000000000000000000000000000
c5: 65
c0: 43
skew: 0.92
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved algebraic special-q in [3000000, 5500001)
Primes: RFBsize:412849, AFBsize:413366, largePrimes:6535631 encountered
Relations: rels:6859270, finalFF:962155
Max relations in full relation-set: 28
Initial matrix: 826281 x 962155 with sparse part having weight 57220973.
Pruned matrix : 707273 x 711468 with weight 37824375.
Total sieving time: 42.55 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.66 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,49,49,2.6,2.6,100000
total time: 45.38 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: 8047092k/8912896k available (2460k kernel code, 339200k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.05 BogoMIPS (lpj=2672026)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
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
2011e374Jo Yeong UkAugust 5, 2008 11:43:28 UTC 2008 年 8 月 5 日 (火) 20 時 43 分 28 秒 (日本時間)
255e4214Jo Yeong UkAugust 5, 2008 11:43:33 UTC 2008 年 8 月 5 日 (火) 20 時 43 分 33 秒 (日本時間)
3025e4430Jo Yeong UkAugust 5, 2008 11:43:38 UTC 2008 年 8 月 5 日 (火) 20 時 43 分 38 秒 (日本時間)
351e6904Jo Yeong UkAugust 5, 2008 11:43:43 UTC 2008 年 8 月 5 日 (火) 20 時 43 分 43 秒 (日本時間)

65×10166+439

c130

name 名前Justin Card
date 日付June 12, 2009 03:56:41 UTC 2009 年 6 月 12 日 (金) 12 時 56 分 41 秒 (日本時間)
composite number 合成数
9763436759606743427904739583306785308462946373464374213867612168717174093348236091973396634356359866256404708584327307961415747853<130>
prime factors 素因数
450631373675458452337775455499947328084685648775502985779<57>
21666127415793961010964729859371091707932535791390299034807201472008220607<74>
factorization results 素因数分解の結果
Sieving performed over 2.5 days manually

Postprocessing log:

Thu Jun 11 22:15:03 2009  
Thu Jun 11 22:15:03 2009  
Thu Jun 11 22:15:03 2009  Msieve v. 1.41
Thu Jun 11 22:15:03 2009  random seeds: 891788b7 6f9284bd
Thu Jun 11 22:15:03 2009  factoring 9763436759606743427904739583306785308462946373464374213867612168717174093348236091973396634356359866256404708584327307961415747853 (130 digits)
Thu Jun 11 22:15:04 2009  searching for 15-digit factors
Thu Jun 11 22:15:05 2009  commencing number field sieve (130-digit input)
Thu Jun 11 22:15:05 2009  R0: -1000000000000000000000000000000000
Thu Jun 11 22:15:05 2009  R1:  1
Thu Jun 11 22:15:05 2009  A0:  43
Thu Jun 11 22:15:05 2009  A1:  0
Thu Jun 11 22:15:05 2009  A2:  0
Thu Jun 11 22:15:05 2009  A3:  0
Thu Jun 11 22:15:05 2009  A4:  0
Thu Jun 11 22:15:05 2009  A5:  650
Thu Jun 11 22:15:05 2009  skew 1.00, size 9.555107e-12, alpha -0.317313, combined = 3.222005e-10
Thu Jun 11 22:15:05 2009  
Thu Jun 11 22:15:05 2009  commencing relation filtering
Thu Jun 11 22:15:05 2009  commencing duplicate removal, pass 1
Thu Jun 11 22:17:35 2009  found 2090217 hash collisions in 13684980 relations
Thu Jun 11 22:18:13 2009  added 357929 free relations
Thu Jun 11 22:18:13 2009  commencing duplicate removal, pass 2
Thu Jun 11 22:18:27 2009  found 2030428 duplicates and 12012481 unique relations
Thu Jun 11 22:18:27 2009  memory use: 69.3 MB
Thu Jun 11 22:18:27 2009  reading rational ideals above 6094848
Thu Jun 11 22:18:27 2009  reading algebraic ideals above 6094848
Thu Jun 11 22:18:27 2009  commencing singleton removal, pass 1
Thu Jun 11 22:20:57 2009  relations with 0 large ideals: 299061
Thu Jun 11 22:20:57 2009  relations with 1 large ideals: 1856276
Thu Jun 11 22:20:57 2009  relations with 2 large ideals: 4373394
Thu Jun 11 22:20:57 2009  relations with 3 large ideals: 4053181
Thu Jun 11 22:20:57 2009  relations with 4 large ideals: 1048259
Thu Jun 11 22:20:57 2009  relations with 5 large ideals: 39190
Thu Jun 11 22:20:57 2009  relations with 6 large ideals: 343119
Thu Jun 11 22:20:57 2009  relations with 7+ large ideals: 1
Thu Jun 11 22:20:57 2009  12012481 relations and about 9765690 large ideals
Thu Jun 11 22:20:57 2009  commencing singleton removal, pass 2
Thu Jun 11 22:23:39 2009  found 3384675 singletons
Thu Jun 11 22:23:39 2009  current dataset: 8627806 relations and about 5627344 large ideals
Thu Jun 11 22:23:39 2009  commencing singleton removal, pass 3
Thu Jun 11 22:25:22 2009  found 877593 singletons
Thu Jun 11 22:25:22 2009  current dataset: 7750213 relations and about 4725529 large ideals
Thu Jun 11 22:25:22 2009  commencing singleton removal, pass 4
Thu Jun 11 22:26:57 2009  found 139102 singletons
Thu Jun 11 22:26:57 2009  current dataset: 7611111 relations and about 4585593 large ideals
Thu Jun 11 22:26:57 2009  commencing singleton removal, final pass
Thu Jun 11 22:28:37 2009  memory use: 123.1 MB
Thu Jun 11 22:28:37 2009  commencing in-memory singleton removal
Thu Jun 11 22:28:38 2009  begin with 7611111 relations and 4846475 unique ideals
Thu Jun 11 22:28:45 2009  reduce to 7238441 relations and 4470046 ideals in 8 passes
Thu Jun 11 22:28:45 2009  max relations containing the same ideal: 31
Thu Jun 11 22:28:46 2009  reading rational ideals above 720000
Thu Jun 11 22:28:46 2009  reading algebraic ideals above 720000
Thu Jun 11 22:28:46 2009  commencing singleton removal, final pass
Thu Jun 11 22:30:40 2009  keeping 4652011 ideals with weight <= 20, new excess is 661449
Thu Jun 11 22:30:45 2009  memory use: 177.4 MB
Thu Jun 11 22:30:45 2009  commencing in-memory singleton removal
Thu Jun 11 22:30:46 2009  begin with 7239473 relations and 4652011 unique ideals
Thu Jun 11 22:30:50 2009  reduce to 7238347 relations and 4645988 ideals in 4 passes
Thu Jun 11 22:30:50 2009  max relations containing the same ideal: 20
Thu Jun 11 22:30:55 2009  removing 1370225 relations and 970225 ideals in 400000 cliques
Thu Jun 11 22:30:56 2009  commencing in-memory singleton removal
Thu Jun 11 22:30:56 2009  begin with 5868122 relations and 4645988 unique ideals
Thu Jun 11 22:31:02 2009  reduce to 5763246 relations and 3565026 ideals in 7 passes
Thu Jun 11 22:31:02 2009  max relations containing the same ideal: 20
Thu Jun 11 22:31:06 2009  removing 1048359 relations and 648359 ideals in 400000 cliques
Thu Jun 11 22:31:06 2009  commencing in-memory singleton removal
Thu Jun 11 22:31:07 2009  begin with 4714887 relations and 3565026 unique ideals
Thu Jun 11 22:31:10 2009  reduce to 4612574 relations and 2807796 ideals in 6 passes
Thu Jun 11 22:31:10 2009  max relations containing the same ideal: 20
Thu Jun 11 22:31:13 2009  removing 958972 relations and 558972 ideals in 400000 cliques
Thu Jun 11 22:31:14 2009  commencing in-memory singleton removal
Thu Jun 11 22:31:14 2009  begin with 3653602 relations and 2807796 unique ideals
Thu Jun 11 22:31:17 2009  reduce to 3546460 relations and 2133022 ideals in 6 passes
Thu Jun 11 22:31:17 2009  max relations containing the same ideal: 19
Thu Jun 11 22:31:19 2009  removing 927820 relations and 527820 ideals in 400000 cliques
Thu Jun 11 22:31:20 2009  commencing in-memory singleton removal
Thu Jun 11 22:31:20 2009  begin with 2618640 relations and 2133022 unique ideals
Thu Jun 11 22:31:22 2009  reduce to 2502532 relations and 1476617 ideals in 7 passes
Thu Jun 11 22:31:22 2009  max relations containing the same ideal: 16
Thu Jun 11 22:31:24 2009  removing 617081 relations and 358447 ideals in 258634 cliques
Thu Jun 11 22:31:24 2009  commencing in-memory singleton removal
Thu Jun 11 22:31:24 2009  begin with 1885451 relations and 1476617 unique ideals
Thu Jun 11 22:31:25 2009  reduce to 1796412 relations and 1019287 ideals in 7 passes
Thu Jun 11 22:31:25 2009  max relations containing the same ideal: 14
Thu Jun 11 22:31:26 2009  removing 44809 relations and 34965 ideals in 9844 cliques
Thu Jun 11 22:31:27 2009  commencing in-memory singleton removal
Thu Jun 11 22:31:27 2009  begin with 1751603 relations and 1019287 unique ideals
Thu Jun 11 22:31:27 2009  reduce to 1750837 relations and 983553 ideals in 4 passes
Thu Jun 11 22:31:27 2009  max relations containing the same ideal: 14
Thu Jun 11 22:31:28 2009  relations with 0 large ideals: 174112
Thu Jun 11 22:31:28 2009  relations with 1 large ideals: 583484
Thu Jun 11 22:31:28 2009  relations with 2 large ideals: 636673
Thu Jun 11 22:31:28 2009  relations with 3 large ideals: 282529
Thu Jun 11 22:31:28 2009  relations with 4 large ideals: 64640
Thu Jun 11 22:31:28 2009  relations with 5 large ideals: 7757
Thu Jun 11 22:31:28 2009  relations with 6 large ideals: 1629
Thu Jun 11 22:31:28 2009  relations with 7+ large ideals: 13
Thu Jun 11 22:31:28 2009  commencing 2-way merge
Thu Jun 11 22:31:29 2009  reduce to 1298618 relation sets and 531334 unique ideals
Thu Jun 11 22:31:29 2009  commencing full merge
Thu Jun 11 22:31:35 2009  memory use: 52.1 MB
Thu Jun 11 22:31:35 2009  found 764728 cycles, need 661649
Thu Jun 11 22:31:35 2009  weight of 661649 cycles is about 32721827 (49.45/cycle)
Thu Jun 11 22:31:35 2009  distribution of cycle lengths:
Thu Jun 11 22:31:35 2009  1 relations: 174112
Thu Jun 11 22:31:35 2009  2 relations: 97968
Thu Jun 11 22:31:35 2009  3 relations: 80875
Thu Jun 11 22:31:35 2009  4 relations: 65935
Thu Jun 11 22:31:35 2009  5 relations: 56261
Thu Jun 11 22:31:35 2009  6 relations: 46805
Thu Jun 11 22:31:35 2009  7 relations: 40424
Thu Jun 11 22:31:35 2009  8 relations: 33366
Thu Jun 11 22:31:35 2009  9 relations: 27756
Thu Jun 11 22:31:35 2009  10+ relations: 38147
Thu Jun 11 22:31:35 2009  heaviest cycle: 14 relations
Thu Jun 11 22:31:35 2009  matrix can improve, retrying
Thu Jun 11 22:31:36 2009  reading rational ideals above 720000
Thu Jun 11 22:31:36 2009  reading algebraic ideals above 720000
Thu Jun 11 22:31:36 2009  commencing singleton removal, final pass
Thu Jun 11 22:33:29 2009  keeping 4741281 ideals with weight <= 25, new excess is 572179
Thu Jun 11 22:33:34 2009  memory use: 177.4 MB
Thu Jun 11 22:33:34 2009  commencing in-memory singleton removal
Thu Jun 11 22:33:35 2009  begin with 7239473 relations and 4741281 unique ideals
Thu Jun 11 22:33:40 2009  reduce to 7238347 relations and 4735258 ideals in 4 passes
Thu Jun 11 22:33:40 2009  max relations containing the same ideal: 25
Thu Jun 11 22:33:45 2009  removing 1370225 relations and 970225 ideals in 400000 cliques
Thu Jun 11 22:33:46 2009  commencing in-memory singleton removal
Thu Jun 11 22:33:47 2009  begin with 5868122 relations and 4735258 unique ideals
Thu Jun 11 22:33:52 2009  reduce to 5763246 relations and 3654296 ideals in 7 passes
Thu Jun 11 22:33:52 2009  max relations containing the same ideal: 25
Thu Jun 11 22:33:57 2009  removing 1048359 relations and 648359 ideals in 400000 cliques
Thu Jun 11 22:33:57 2009  commencing in-memory singleton removal
Thu Jun 11 22:33:58 2009  begin with 4714887 relations and 3654296 unique ideals
Thu Jun 11 22:34:02 2009  reduce to 4612548 relations and 2897043 ideals in 6 passes
Thu Jun 11 22:34:02 2009  max relations containing the same ideal: 24
Thu Jun 11 22:34:05 2009  removing 958960 relations and 558960 ideals in 400000 cliques
Thu Jun 11 22:34:05 2009  commencing in-memory singleton removal
Thu Jun 11 22:34:06 2009  begin with 3653588 relations and 2897043 unique ideals
Thu Jun 11 22:34:09 2009  reduce to 3546576 relations and 2222376 ideals in 6 passes
Thu Jun 11 22:34:09 2009  max relations containing the same ideal: 23
Thu Jun 11 22:34:12 2009  removing 927863 relations and 527863 ideals in 400000 cliques
Thu Jun 11 22:34:12 2009  commencing in-memory singleton removal
Thu Jun 11 22:34:13 2009  begin with 2618713 relations and 2222376 unique ideals
Thu Jun 11 22:34:15 2009  reduce to 2502567 relations and 1565849 ideals in 7 passes
Thu Jun 11 22:34:15 2009  max relations containing the same ideal: 19
Thu Jun 11 22:34:17 2009  removing 645878 relations and 372888 ideals in 272990 cliques
Thu Jun 11 22:34:17 2009  commencing in-memory singleton removal
Thu Jun 11 22:34:18 2009  begin with 1856689 relations and 1565849 unique ideals
Thu Jun 11 22:34:19 2009  reduce to 1761413 relations and 1086714 ideals in 7 passes
Thu Jun 11 22:34:19 2009  max relations containing the same ideal: 17
Thu Jun 11 22:34:20 2009  removing 49978 relations and 39007 ideals in 10971 cliques
Thu Jun 11 22:34:21 2009  commencing in-memory singleton removal
Thu Jun 11 22:34:21 2009  begin with 1711435 relations and 1086714 unique ideals
Thu Jun 11 22:34:22 2009  reduce to 1710437 relations and 1046700 ideals in 5 passes
Thu Jun 11 22:34:22 2009  max relations containing the same ideal: 16
Thu Jun 11 22:34:22 2009  relations with 0 large ideals: 113635
Thu Jun 11 22:34:22 2009  relations with 1 large ideals: 443963
Thu Jun 11 22:34:22 2009  relations with 2 large ideals: 615026
Thu Jun 11 22:34:22 2009  relations with 3 large ideals: 381062
Thu Jun 11 22:34:22 2009  relations with 4 large ideals: 128224
Thu Jun 11 22:34:22 2009  relations with 5 large ideals: 24417
Thu Jun 11 22:34:22 2009  relations with 6 large ideals: 3945
Thu Jun 11 22:34:22 2009  relations with 7+ large ideals: 165
Thu Jun 11 22:34:22 2009  commencing 2-way merge
Thu Jun 11 22:34:23 2009  reduce to 1266153 relation sets and 602416 unique ideals
Thu Jun 11 22:34:23 2009  commencing full merge
Thu Jun 11 22:34:38 2009  memory use: 58.1 MB
Thu Jun 11 22:34:38 2009  found 666737 cycles, need 584616
Thu Jun 11 22:34:39 2009  weight of 584616 cycles is about 41139292 (70.37/cycle)
Thu Jun 11 22:34:39 2009  distribution of cycle lengths:
Thu Jun 11 22:34:39 2009  1 relations: 113778
Thu Jun 11 22:34:39 2009  2 relations: 61154
Thu Jun 11 22:34:39 2009  3 relations: 53353
Thu Jun 11 22:34:39 2009  4 relations: 47482
Thu Jun 11 22:34:39 2009  5 relations: 44643
Thu Jun 11 22:34:39 2009  6 relations: 40899
Thu Jun 11 22:34:39 2009  7 relations: 38087
Thu Jun 11 22:34:39 2009  8 relations: 34576
Thu Jun 11 22:34:39 2009  9 relations: 31157
Thu Jun 11 22:34:39 2009  10+ relations: 119487
Thu Jun 11 22:34:39 2009  heaviest cycle: 18 relations
Thu Jun 11 22:34:39 2009  matrix can improve, retrying
Thu Jun 11 22:34:40 2009  reading rational ideals above 720000
Thu Jun 11 22:34:40 2009  reading algebraic ideals above 720000
Thu Jun 11 22:34:40 2009  commencing singleton removal, final pass
Thu Jun 11 22:37:12 2009  keeping 4838805 ideals with weight <= 30, new excess is 474655
Thu Jun 11 22:37:20 2009  memory use: 177.4 MB
Thu Jun 11 22:37:20 2009  commencing in-memory singleton removal
Thu Jun 11 22:37:22 2009  begin with 7239473 relations and 4838805 unique ideals
Thu Jun 11 22:37:29 2009  reduce to 7238347 relations and 4832782 ideals in 4 passes
Thu Jun 11 22:37:29 2009  max relations containing the same ideal: 30
Thu Jun 11 22:37:39 2009  removing 1370225 relations and 970225 ideals in 400000 cliques
Thu Jun 11 22:37:40 2009  commencing in-memory singleton removal
Thu Jun 11 22:37:42 2009  begin with 5868122 relations and 4832782 unique ideals
Thu Jun 11 22:37:53 2009  reduce to 5763246 relations and 3751820 ideals in 7 passes
Thu Jun 11 22:37:53 2009  max relations containing the same ideal: 30
Thu Jun 11 22:38:01 2009  removing 1048359 relations and 648359 ideals in 400000 cliques
Thu Jun 11 22:38:02 2009  commencing in-memory singleton removal
Thu Jun 11 22:38:03 2009  begin with 4714887 relations and 3751820 unique ideals
Thu Jun 11 22:38:11 2009  reduce to 4612549 relations and 2994568 ideals in 6 passes
Thu Jun 11 22:38:11 2009  max relations containing the same ideal: 28
Thu Jun 11 22:38:17 2009  removing 958958 relations and 558958 ideals in 400000 cliques
Thu Jun 11 22:38:18 2009  commencing in-memory singleton removal
Thu Jun 11 22:38:19 2009  begin with 3653591 relations and 2994568 unique ideals
Thu Jun 11 22:38:25 2009  reduce to 3546538 relations and 2319864 ideals in 6 passes
Thu Jun 11 22:38:25 2009  max relations containing the same ideal: 26
Thu Jun 11 22:38:30 2009  removing 927846 relations and 527846 ideals in 400000 cliques
Thu Jun 11 22:38:31 2009  commencing in-memory singleton removal
Thu Jun 11 22:38:31 2009  begin with 2618692 relations and 2319864 unique ideals
Thu Jun 11 22:38:36 2009  reduce to 2502397 relations and 1663234 ideals in 7 passes
Thu Jun 11 22:38:36 2009  max relations containing the same ideal: 21
Thu Jun 11 22:38:39 2009  removing 676969 relations and 388406 ideals in 288563 cliques
Thu Jun 11 22:38:40 2009  commencing in-memory singleton removal
Thu Jun 11 22:38:41 2009  begin with 1825428 relations and 1663234 unique ideals
Thu Jun 11 22:38:44 2009  reduce to 1723810 relations and 1160990 ideals in 7 passes
Thu Jun 11 22:38:44 2009  max relations containing the same ideal: 18
Thu Jun 11 22:38:46 2009  removing 55463 relations and 43243 ideals in 12220 cliques
Thu Jun 11 22:38:47 2009  commencing in-memory singleton removal
Thu Jun 11 22:38:47 2009  begin with 1668347 relations and 1160990 unique ideals
Thu Jun 11 22:38:49 2009  reduce to 1667063 relations and 1116452 ideals in 5 passes
Thu Jun 11 22:38:49 2009  max relations containing the same ideal: 18
Thu Jun 11 22:38:49 2009  relations with 0 large ideals: 65458
Thu Jun 11 22:38:49 2009  relations with 1 large ideals: 297828
Thu Jun 11 22:38:49 2009  relations with 2 large ideals: 530856
Thu Jun 11 22:38:49 2009  relations with 3 large ideals: 462549
Thu Jun 11 22:38:49 2009  relations with 4 large ideals: 229066
Thu Jun 11 22:38:49 2009  relations with 5 large ideals: 67346
Thu Jun 11 22:38:49 2009  relations with 6 large ideals: 12804
Thu Jun 11 22:38:49 2009  relations with 7+ large ideals: 1156
Thu Jun 11 22:38:49 2009  commencing 2-way merge
Thu Jun 11 22:38:52 2009  reduce to 1233370 relation sets and 682759 unique ideals
Thu Jun 11 22:38:52 2009  commencing full merge
Thu Jun 11 22:39:14 2009  memory use: 65.7 MB
Thu Jun 11 22:39:14 2009  found 634387 cycles, need 560959
Thu Jun 11 22:39:15 2009  weight of 560959 cycles is about 39428217 (70.29/cycle)
Thu Jun 11 22:39:15 2009  distribution of cycle lengths:
Thu Jun 11 22:39:15 2009  1 relations: 72319
Thu Jun 11 22:39:15 2009  2 relations: 52148
Thu Jun 11 22:39:15 2009  3 relations: 55635
Thu Jun 11 22:39:15 2009  4 relations: 54694
Thu Jun 11 22:39:15 2009  5 relations: 54247
Thu Jun 11 22:39:15 2009  6 relations: 49707
Thu Jun 11 22:39:15 2009  7 relations: 45747
Thu Jun 11 22:39:15 2009  8 relations: 40721
Thu Jun 11 22:39:15 2009  9 relations: 35481
Thu Jun 11 22:39:15 2009  10+ relations: 100260
Thu Jun 11 22:39:15 2009  heaviest cycle: 16 relations
Thu Jun 11 22:39:15 2009  commencing cycle optimization
Thu Jun 11 22:39:17 2009  start with 3244833 relations
Thu Jun 11 22:39:31 2009  pruned 210947 relations
Thu Jun 11 22:39:31 2009  memory use: 93.5 MB
Thu Jun 11 22:39:31 2009  distribution of cycle lengths:
Thu Jun 11 22:39:31 2009  1 relations: 72319
Thu Jun 11 22:39:31 2009  2 relations: 54853
Thu Jun 11 22:39:31 2009  3 relations: 60718
Thu Jun 11 22:39:31 2009  4 relations: 60060
Thu Jun 11 22:39:31 2009  5 relations: 60069
Thu Jun 11 22:39:31 2009  6 relations: 54268
Thu Jun 11 22:39:31 2009  7 relations: 49024
Thu Jun 11 22:39:31 2009  8 relations: 42072
Thu Jun 11 22:39:31 2009  9 relations: 35161
Thu Jun 11 22:39:31 2009  10+ relations: 72415
Thu Jun 11 22:39:31 2009  heaviest cycle: 16 relations
Thu Jun 11 22:39:34 2009  RelProcTime: 1326
Thu Jun 11 22:39:34 2009  elapsed time 00:24:31
Thu Jun 11 22:39:45 2009  
Thu Jun 11 22:39:45 2009  
Thu Jun 11 22:39:45 2009  Msieve v. 1.41
Thu Jun 11 22:39:45 2009  random seeds: 2f7019d3 c696b041
Thu Jun 11 22:39:45 2009  factoring 9763436759606743427904739583306785308462946373464374213867612168717174093348236091973396634356359866256404708584327307961415747853 (130 digits)
Thu Jun 11 22:39:47 2009  searching for 15-digit factors
Thu Jun 11 22:39:48 2009  commencing number field sieve (130-digit input)
Thu Jun 11 22:39:48 2009  R0: -1000000000000000000000000000000000
Thu Jun 11 22:39:48 2009  R1:  1
Thu Jun 11 22:39:48 2009  A0:  43
Thu Jun 11 22:39:48 2009  A1:  0
Thu Jun 11 22:39:48 2009  A2:  0
Thu Jun 11 22:39:48 2009  A3:  0
Thu Jun 11 22:39:48 2009  A4:  0
Thu Jun 11 22:39:48 2009  A5:  650
Thu Jun 11 22:39:48 2009  skew 1.00, size 9.555107e-12, alpha -0.317313, combined = 3.222005e-10
Thu Jun 11 22:39:48 2009  
Thu Jun 11 22:39:48 2009  commencing linear algebra
Thu Jun 11 22:39:48 2009  read 560959 cycles
Thu Jun 11 22:39:51 2009  cycles contain 1460370 unique relations
Thu Jun 11 22:40:18 2009  
Thu Jun 11 22:40:18 2009  
Thu Jun 11 22:40:18 2009  Msieve v. 1.41
Thu Jun 11 22:40:18 2009  random seeds: 896479b4 8c2297c6
Thu Jun 11 22:40:18 2009  factoring 9763436759606743427904739583306785308462946373464374213867612168717174093348236091973396634356359866256404708584327307961415747853 (130 digits)
Thu Jun 11 22:40:19 2009  searching for 15-digit factors
Thu Jun 11 22:40:20 2009  commencing number field sieve (130-digit input)
Thu Jun 11 22:40:20 2009  R0: -1000000000000000000000000000000000
Thu Jun 11 22:40:20 2009  R1:  1
Thu Jun 11 22:40:20 2009  A0:  43
Thu Jun 11 22:40:20 2009  A1:  0
Thu Jun 11 22:40:20 2009  A2:  0
Thu Jun 11 22:40:20 2009  A3:  0
Thu Jun 11 22:40:20 2009  A4:  0
Thu Jun 11 22:40:20 2009  A5:  650
Thu Jun 11 22:40:20 2009  skew 1.00, size 9.555107e-12, alpha -0.317313, combined = 3.222005e-10
Thu Jun 11 22:40:20 2009  
Thu Jun 11 22:40:20 2009  commencing linear algebra
Thu Jun 11 22:40:20 2009  read 560959 cycles
Thu Jun 11 22:40:21 2009  cycles contain 1460370 unique relations
Thu Jun 11 22:40:43 2009  read 1460370 relations
Thu Jun 11 22:40:46 2009  using 20 quadratic characters above 134210724
Thu Jun 11 22:41:00 2009  building initial matrix
Thu Jun 11 22:41:26 2009  memory use: 185.1 MB
Thu Jun 11 22:41:27 2009  read 560959 cycles
Thu Jun 11 22:41:27 2009  matrix is 560744 x 560959 (161.1 MB) with weight 48786446 (86.97/col)
Thu Jun 11 22:41:27 2009  sparse part has weight 36056943 (64.28/col)
Thu Jun 11 22:41:43 2009  filtering completed in 2 passes
Thu Jun 11 22:41:43 2009  matrix is 559754 x 559954 (160.9 MB) with weight 48736748 (87.04/col)
Thu Jun 11 22:41:43 2009  sparse part has weight 36028515 (64.34/col)
Thu Jun 11 22:41:47 2009  read 559954 cycles
Thu Jun 11 22:41:48 2009  matrix is 559754 x 559954 (160.9 MB) with weight 48736748 (87.04/col)
Thu Jun 11 22:41:48 2009  sparse part has weight 36028515 (64.34/col)
Thu Jun 11 22:41:48 2009  saving the first 48 matrix rows for later
Thu Jun 11 22:41:48 2009  matrix is 559706 x 559954 (153.0 MB) with weight 38273617 (68.35/col)
Thu Jun 11 22:41:48 2009  sparse part has weight 34501380 (61.61/col)
Thu Jun 11 22:41:48 2009  matrix includes 64 packed rows
Thu Jun 11 22:41:48 2009  using block size 10922 for processor cache size 256 kB
Thu Jun 11 22:41:52 2009  commencing Lanczos iteration (2 threads)
Thu Jun 11 22:41:52 2009  memory use: 149.8 MB
Thu Jun 11 23:37:37 2009  lanczos halted after 8855 iterations (dim = 559706)
Thu Jun 11 23:37:38 2009  recovered 39 nontrivial dependencies
Thu Jun 11 23:37:38 2009  BLanczosTime: 3438
Thu Jun 11 23:37:38 2009  elapsed time 00:57:20
Thu Jun 11 23:42:07 2009  
Thu Jun 11 23:42:07 2009  
Thu Jun 11 23:42:07 2009  Msieve v. 1.41
Thu Jun 11 23:42:07 2009  random seeds: f3d8e841 ee630f48
Thu Jun 11 23:42:07 2009  factoring 9763436759606743427904739583306785308462946373464374213867612168717174093348236091973396634356359866256404708584327307961415747853 (130 digits)
Thu Jun 11 23:42:09 2009  searching for 15-digit factors
Thu Jun 11 23:42:09 2009  commencing number field sieve (130-digit input)
Thu Jun 11 23:42:09 2009  R0: -1000000000000000000000000000000000
Thu Jun 11 23:42:09 2009  R1:  1
Thu Jun 11 23:42:09 2009  A0:  43
Thu Jun 11 23:42:09 2009  A1:  0
Thu Jun 11 23:42:09 2009  A2:  0
Thu Jun 11 23:42:09 2009  A3:  0
Thu Jun 11 23:42:09 2009  A4:  0
Thu Jun 11 23:42:09 2009  A5:  650
Thu Jun 11 23:42:09 2009  skew 1.00, size 9.555107e-12, alpha -0.317313, combined = 3.222005e-10
Thu Jun 11 23:42:10 2009  
Thu Jun 11 23:42:10 2009  commencing square root phase
Thu Jun 11 23:42:10 2009  reading relations for dependency 1
Thu Jun 11 23:42:10 2009  read 279367 cycles
Thu Jun 11 23:42:10 2009  cycles contain 921779 unique relations
Thu Jun 11 23:42:27 2009  read 921779 relations
Thu Jun 11 23:42:33 2009  multiplying 729442 relations
Thu Jun 11 23:44:19 2009  multiply complete, coefficients have about 22.36 million bits
Thu Jun 11 23:44:20 2009  initial square root is modulo 2636251
Thu Jun 11 23:47:12 2009  reading relations for dependency 2
Thu Jun 11 23:47:12 2009  read 279179 cycles
Thu Jun 11 23:47:13 2009  cycles contain 921197 unique relations
Thu Jun 11 23:47:29 2009  read 921197 relations
Thu Jun 11 23:47:35 2009  multiplying 728430 relations
Thu Jun 11 23:49:22 2009  multiply complete, coefficients have about 22.33 million bits
Thu Jun 11 23:49:22 2009  initial square root is modulo 2586791
Thu Jun 11 23:52:15 2009  sqrtTime: 605
Thu Jun 11 23:52:15 2009  prp57 factor: 450631373675458452337775455499947328084685648775502985779
Thu Jun 11 23:52:15 2009  prp74 factor: 21666127415793961010964729859371091707932535791390299034807201472008220607
Thu Jun 11 23:52:15 2009  elapsed time 00:10:08
software ソフトウェア
GGNFS for sieving, msieve for post processing
execution environment 実行環境
Athlon 64 X2 3600+, 1 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Jo Yeong UkAugust 5, 2008 11:45:18 UTC 2008 年 8 月 5 日 (火) 20 時 45 分 18 秒 (日本時間)
255e4214Jo Yeong UkAugust 5, 2008 11:45:23 UTC 2008 年 8 月 5 日 (火) 20 時 45 分 23 秒 (日本時間)
3025e4430Jo Yeong UkAugust 5, 2008 11:45:27 UTC 2008 年 8 月 5 日 (火) 20 時 45 分 27 秒 (日本時間)
351e6904Jo Yeong UkAugust 5, 2008 11:45:33 UTC 2008 年 8 月 5 日 (火) 20 時 45 分 33 秒 (日本時間)
403e6114 / 2089Jo Yeong UkAugust 5, 2008 11:51:59 UTC 2008 年 8 月 5 日 (火) 20 時 51 分 59 秒 (日本時間)

65×10167+439

c142

name 名前Robert Backstrom
date 日付July 19, 2008 06:24:54 UTC 2008 年 7 月 19 日 (土) 15 時 24 分 54 秒 (日本時間)
composite number 合成数
2416540618929028067669513756315393816139046863325989248996067013124199091486295011457802290992087222445824703172180542641244773807423934871823<142>
prime factors 素因数
6350896847958870927475301612070577433786600427541<49>
380503836982596483446568644330742044611360532394516326298199791512990729260726018085652941203<93>
factorization results 素因数分解の結果
Number: n
N=2416540618929028067669513756315393816139046863325989248996067013124199091486295011457802290992087222445824703172180542641244773807423934871823
  ( 142 digits)
SNFS difficulty: 168 digits.
Divisors found:

Sat Jul 19 16:15:17 2008  prp49 factor: 6350896847958870927475301612070577433786600427541
Sat Jul 19 16:15:17 2008  prp93 factor: 380503836982596483446568644330742044611360532394516326298199791512990729260726018085652941203
Sat Jul 19 16:15:17 2008  elapsed time 02:23:29 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 44.76 hours.
Scaled time: 82.09 units (timescale=1.834).
Factorization parameters were as follows:
name: KA_7_2_166_7
n: 2416540618929028067669513756315393816139046863325989248996067013124199091486295011457802290992087222445824703172180542641244773807423934871823
skew: 0.37
deg: 5
c5: 6500
c0: 43
m: 1000000000000000000000000000000000
type: snfs
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved  special-q in [100000, 2700209)
Primes: RFBsize:399993, AFBsize:399914, largePrimes:9845687 encountered
Relations: rels:9387478, finalFF:832705
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 44.42 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,50,50,2.5,2.5,100000
total time: 44.76 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

65×10172+439

c149

name 名前Dmitry Domanov
date 日付June 26, 2010 20:37:05 UTC 2010 年 6 月 27 日 (日) 5 時 37 分 5 秒 (日本時間)
composite number 合成数
19113958229382764022416910172563472600191966665754415602250152737562817069743686536690566748519854859251484268130476545867407859706526374365134641813<149>
prime factors 素因数
792147391952173569345614293181560386713273086864783950340692957382755593<72>
24129295158415142625439656524867185952404391593366896845223628197631014762541<77>
factorization results 素因数分解の結果
N=19113958229382764022416910172563472600191966665754415602250152737562817069743686536690566748519854859251484268130476545867407859706526374365134641813
  ( 149 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=792147391952173569345614293181560386713273086864783950340692957382755593 (pp72)
 r2=24129295158415142625439656524867185952404391593366896845223628197631014762541 (pp77)
Version: Msieve-1.40
Total time: 76.03 hours.
Scaled time: 143.16 units (timescale=1.883).
Factorization parameters were as follows:
n: 19113958229382764022416910172563472600191966665754415602250152737562817069743686536690566748519854859251484268130476545867407859706526374365134641813
m: 10000000000000000000000000000000000
deg: 5
c5: 6500
c0: 43
skew: 0.37
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 200000Factor 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, 6550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 845758 x 845986
Total sieving time: 73.92 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.93 hours.
Time per square root: 1.07 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: 76.03 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
2011e374Max DettweilerMarch 6, 2009 00:19:55 UTC 2009 年 3 月 6 日 (金) 9 時 19 分 55 秒 (日本時間)
255e4250Lionel DebrouxSeptember 26, 2009 11:18:43 UTC 2009 年 9 月 26 日 (土) 20 時 18 分 43 秒 (日本時間)
3025e4450Lionel DebrouxSeptember 26, 2009 11:52:07 UTC 2009 年 9 月 26 日 (土) 20 時 52 分 7 秒 (日本時間)
351e61000300Lionel DebrouxSeptember 27, 2009 14:21:24 UTC 2009 年 9 月 27 日 (日) 23 時 21 分 24 秒 (日本時間)
400Lionel DebrouxSeptember 27, 2009 16:09:20 UTC 2009 年 9 月 28 日 (月) 1 時 9 分 20 秒 (日本時間)
300Lionel DebrouxSeptember 27, 2009 17:04:20 UTC 2009 年 9 月 28 日 (月) 2 時 4 分 20 秒 (日本時間)
403e62350Wataru SakaiSeptember 30, 2009 06:25:25 UTC 2009 年 9 月 30 日 (水) 15 時 25 分 25 秒 (日本時間)

65×10176+439

c145

name 名前Wataru Sakai
date 日付August 25, 2012 13:05:05 UTC 2012 年 8 月 25 日 (土) 22 時 5 分 5 秒 (日本時間)
composite number 合成数
3924125310964336084779407887834582549766049138373034995181290203503151529920176472249351489929430782545390012911988106223102213423579050921517149<145>
prime factors 素因数
1449464669051073897128725775862333795857342147055903749<55>
2707292833521328203621638640560784095385527451307697738097558655304617787389888950711636601<91>
factorization results 素因数分解の結果
N=3924125310964336084779407887834582549766049138373034995181290203503151529920176472249351489929430782545390012911988106223102213423579050921517149
  ( 145 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=1449464669051073897128725775862333795857342147055903749
 r2=2707292833521328203621638640560784095385527451307697738097558655304617787389888950711636601
Version:
Total time: 344.47 hours.
Scaled time: 452.98 units (timescale=1.315).
Factorization parameters were as follows:
n: 3924125310964336084779407887834582549766049138373034995181290203503151529920176472249351489929430782545390012911988106223102213423579050921517149
m: 100000000000000000000000000000000000
deg: 5
c5: 650
c0: 43
skew: 0.58
# Murphy_E = 1.287e-10
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3200000, 6900001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1039613 x 1039861
Total sieving time: 344.47 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,177,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000
total time: 344.47 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
2011e374Max DettweilerMarch 6, 2009 00:20:51 UTC 2009 年 3 月 6 日 (金) 9 時 20 分 51 秒 (日本時間)
255e4204Ignacio SantosAugust 22, 2010 11:00:59 UTC 2010 年 8 月 22 日 (日) 20 時 0 分 59 秒 (日本時間)
3025e4403Ignacio SantosAugust 22, 2010 11:01:16 UTC 2010 年 8 月 22 日 (日) 20 時 1 分 16 秒 (日本時間)
351e6300Ignacio SantosAugust 22, 2010 15:07:08 UTC 2010 年 8 月 23 日 (月) 0 時 7 分 8 秒 (日本時間)
403e62144110Ignacio SantosAugust 22, 2010 15:07:08 UTC 2010 年 8 月 23 日 (月) 0 時 7 分 8 秒 (日本時間)
2034Wataru SakaiOctober 24, 2011 00:58:01 UTC 2011 年 10 月 24 日 (月) 9 時 58 分 1 秒 (日本時間)
4511e632 / 3991Ignacio SantosAugust 22, 2010 15:07:08 UTC 2010 年 8 月 23 日 (月) 0 時 7 分 8 秒 (日本時間)

65×10177+439

c167

name 名前Robert Backstrom
date 日付February 7, 2012 08:00:54 UTC 2012 年 2 月 7 日 (火) 17 時 0 分 54 秒 (日本時間)
composite number 合成数
24841527200121408189725500987500695192188121391618205643797489038423760737932664450293443638344033134614211306494086279169428157930654912309084669790284674478477512407<167>
prime factors 素因数
16924478768088386980498460554883134209509010986941801847151531818618471942261317<80>
1467786839436429428180563997498291748574948606652120905924251950685514095210980066161771<88>
factorization results 素因数分解の結果
Number: n
N=24841527200121408189725500987500695192188121391618205643797489038423760737932664450293443638344033134614211306494086279169428157930654912309084669790284674478477512407
  ( 167 digits)
SNFS difficulty: 178 digits.
Divisors found:

Tue Feb  7 18:58:04 2012  prp80 factor: 16924478768088386980498460554883134209509010986941801847151531818618471942261317
Tue Feb  7 18:58:04 2012  prp88 factor: 1467786839436429428180563997498291748574948606652120905924251950685514095210980066161771
Tue Feb  7 18:58:04 2012  elapsed time 02:36:33 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.651).
Factorization parameters were as follows:
name: KA_72227_177
n: 24841527200121408189725500987500695192188121391618205643797489038423760737932664450293443638344033134614211306494086279169428157930654912309084669790284674478477512407
m: 100000000000000000000000000000000000
#  c167, diff: 178.81
skew: 0.37
deg: 5
c5: 6500
c0: 43
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7328768 hash collisions in 76534222 relations (71698923 unique)
Msieve: matrix is 1102795 x 1103025 (306.9 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Max DettweilerMarch 6, 2009 00:22:19 UTC 2009 年 3 月 6 日 (金) 9 時 22 分 19 秒 (日本時間)
255e4204Ignacio SantosAugust 22, 2010 11:18:14 UTC 2010 年 8 月 22 日 (日) 20 時 18 分 14 秒 (日本時間)
3025e4403Ignacio SantosAugust 22, 2010 11:18:20 UTC 2010 年 8 月 22 日 (日) 20 時 18 分 20 秒 (日本時間)
351e6300Ignacio SantosAugust 22, 2010 16:07:20 UTC 2010 年 8 月 23 日 (月) 1 時 7 分 20 秒 (日本時間)
403e6110 / 2144Ignacio SantosAugust 22, 2010 16:07:20 UTC 2010 年 8 月 23 日 (月) 1 時 7 分 20 秒 (日本時間)
4511e632 / 4441Ignacio SantosAugust 22, 2010 16:07:20 UTC 2010 年 8 月 23 日 (月) 1 時 7 分 20 秒 (日本時間)

65×10179+439

c168

name 名前Ignacio Santos
date 日付August 22, 2010 14:02:41 UTC 2010 年 8 月 22 日 (日) 23 時 2 分 41 秒 (日本時間)
composite number 合成数
251366816007577101065618042053352221821523137844856964191859283181181596625271613654687473427850914381627426295446108227776561308747596520466570270760596915673313346841<168>
prime factors 素因数
823495925730701698329925620979931<33>
composite cofactor 合成数の残り
305243545418315365706523948809887230051449997362932667299646911325212873489978025312554118551698843099290398053736354512640249758339611<135>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2085669415
Step 1 took 6630ms
Step 2 took 4821ms
********** Factor found in step 2: 823495925730701698329925620979931
Found probable prime factor of 33 digits: 823495925730701698329925620979931
Composite cofactor 305243545418315365706523948809887230051449997362932667299646911325212873489978025312554118551698843099290398053736354512640249758339611 has 135 digits
software ソフトウェア
GMP-ECM 6.3

c135

name 名前Serge Batalov
date 日付October 11, 2010 08:07:06 UTC 2010 年 10 月 11 日 (月) 17 時 7 分 6 秒 (日本時間)
composite number 合成数
305243545418315365706523948809887230051449997362932667299646911325212873489978025312554118551698843099290398053736354512640249758339611<135>
prime factors 素因数
2883512186922976391516148614422398647<37>
73103392428164454693538645532408204663783<41>
1448062032706726649842998183838802213388455327191403022011<58>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1269583826
Step 1 took 8465ms
Step 2 took 4824ms
********** Factor found in step 2: 73103392428164454693538645532408204663783
Found probable prime factor of 41 digits: 73103392428164454693538645532408204663783

Divisors found:
 r1=2883512186922976391516148614422398647 (pp37)
 r2=1448062032706726649842998183838802213388455327191403022011 (pp58)
Version: Msieve v. 1.47 SVN367
Total time: 0.85 hours.
Scaled time: 2.03 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  4175504518730303928632433986349924694469193395234556304499340835294854340452980089283157619117
skew:  804738.33
Y0:  -38402205641904013907273
Y1:   1575870816971
c0:  -129995157620372599045866879
c1:   1476429946713228907665
c2:   441176170664309
c3:  -1825678900
c4:   1920
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [625000, 825001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 121790 x 122038
Total sieving time: 0.75 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,93,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1000000,1000000,25,25,44,44,2.4,2.4,40000
total time: 0.85 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Max DettweilerMarch 6, 2009 00:24:53 UTC 2009 年 3 月 6 日 (金) 9 時 24 分 53 秒 (日本時間)
255e4204Ignacio SantosAugust 22, 2010 11:41:30 UTC 2010 年 8 月 22 日 (日) 20 時 41 分 30 秒 (日本時間)
3025e4403Ignacio SantosAugust 22, 2010 11:41:43 UTC 2010 年 8 月 22 日 (日) 20 時 41 分 43 秒 (日本時間)
351e6300Ignacio SantosAugust 22, 2010 22:13:16 UTC 2010 年 8 月 23 日 (月) 7 時 13 分 16 秒 (日本時間)
403e6110 / 2144Ignacio SantosAugust 22, 2010 22:13:16 UTC 2010 年 8 月 23 日 (月) 7 時 13 分 16 秒 (日本時間)
4511e632 / 4441Ignacio SantosAugust 22, 2010 22:13:16 UTC 2010 年 8 月 23 日 (月) 7 時 13 分 16 秒 (日本時間)

65×10182+439

c161

name 名前Dmitry Domanov
date 日付December 21, 2012 10:26:28 UTC 2012 年 12 月 21 日 (金) 19 時 26 分 28 秒 (日本時間)
composite number 合成数
74179078364952204363062060815582478396550591667069958112149915809414721297998111234819293135605945867999471053996556946024015410171362184232450783399143090473417<161>
prime factors 素因数
264945275282398797357057330593223170261<39>
9876799734361672860702797201677919331197<40>
28347124164014742156421402749776720447633854223036509771812018770989067950607373001<83>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1399407343
Step 1 took 28398ms
Step 2 took 10403ms
********** Factor found in step 2: 9876799734361672860702797201677919331197
Found probable prime factor of 40 digits: 9876799734361672860702797201677919331197


Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2865897740
Step 1 took 19201ms
********** Factor found in step 1: 264945275282398797357057330593223170261
Found probable prime factor of 39 digits: 264945275282398797357057330593223170261

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Max DettweilerMarch 6, 2009 00:27:12 UTC 2009 年 3 月 6 日 (金) 9 時 27 分 12 秒 (日本時間)
255e4204Ignacio SantosAugust 22, 2010 12:04:09 UTC 2010 年 8 月 22 日 (日) 21 時 4 分 9 秒 (日本時間)
3025e4403Ignacio SantosAugust 22, 2010 12:04:17 UTC 2010 年 8 月 22 日 (日) 21 時 4 分 17 秒 (日本時間)
351e6300Ignacio SantosAugust 22, 2010 17:01:22 UTC 2010 年 8 月 23 日 (月) 2 時 1 分 22 秒 (日本時間)
403e6110 / 2144Ignacio SantosAugust 22, 2010 17:01:22 UTC 2010 年 8 月 23 日 (月) 2 時 1 分 22 秒 (日本時間)
4511e632 / 4441Ignacio SantosAugust 22, 2010 17:01:22 UTC 2010 年 8 月 23 日 (月) 2 時 1 分 22 秒 (日本時間)

65×10184+439

c164

name 名前KTakahashi
date 日付July 7, 2014 10:17:15 UTC 2014 年 7 月 7 日 (月) 19 時 17 分 15 秒 (日本時間)
composite number 合成数
26843367371977830009190807721372860615698193277053020929521814037157238925617427483851274091814193119989249009139934637579450403910214060327855586965839324283847959<164>
prime factors 素因数
3789387619315317182057889730303485117494184850363<49>
7083827274663446762783944388898914030420067099226641511014512248767103111480158509042213895290917741693871303313493<115>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 26843367371977830009190807721372860615698193277053020929521814037157238925617427483851274091814193119989249009139934637579450403910214060327855586965839324283847959 (164 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3925383724
Step 1 took 42152ms
Step 2 took 17035ms
********** Factor found in step 2: 3789387619315317182057889730303485117494184850363
Found probable prime factor of 49 digits: 3789387619315317182057889730303485117494184850363
Probable prime cofactor 7083827274663446762783944388898914030420067099226641511014512248767103111480158509042213895290917741693871303313493 has 115 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Max DettweilerMarch 6, 2009 00:31:49 UTC 2009 年 3 月 6 日 (金) 9 時 31 分 49 秒 (日本時間)
255e4204Ignacio SantosAugust 22, 2010 12:23:22 UTC 2010 年 8 月 22 日 (日) 21 時 23 分 22 秒 (日本時間)
3025e4403Ignacio SantosAugust 22, 2010 12:23:28 UTC 2010 年 8 月 22 日 (日) 21 時 23 分 28 秒 (日本時間)
351e6300Ignacio SantosAugust 22, 2010 17:55:09 UTC 2010 年 8 月 23 日 (月) 2 時 55 分 9 秒 (日本時間)
403e61110110Ignacio SantosAugust 22, 2010 17:55:09 UTC 2010 年 8 月 23 日 (月) 2 時 55 分 9 秒 (日本時間)
1000Dmitry DomanovDecember 23, 2012 18:06:04 UTC 2012 年 12 月 24 日 (月) 3 時 6 分 4 秒 (日本時間)
4511e61720 / 422032Ignacio SantosAugust 22, 2010 17:55:09 UTC 2010 年 8 月 23 日 (月) 2 時 55 分 9 秒 (日本時間)
600Dmitry DomanovDecember 28, 2012 22:45:32 UTC 2012 年 12 月 29 日 (土) 7 時 45 分 32 秒 (日本時間)
1088KTakahashiJuly 6, 2014 09:14:57 UTC 2014 年 7 月 6 日 (日) 18 時 14 分 57 秒 (日本時間)

65×10185+439

c168

name 名前matsui
date 日付November 15, 2010 20:47:03 UTC 2010 年 11 月 16 日 (火) 5 時 47 分 3 秒 (日本時間)
composite number 合成数
598660672549356470685940719081056400666580071403292199882593105751106570886451910228787641074010913230446289632138996832723306480302540394280837815472375262163534915643<168>
prime factors 素因数
7444483359376530123707340177521318836833474628003821134892941514151353736791082837<82>
80416684899339186819271435257284669841017111933411402390836349981380078636670050505039<86>
factorization results 素因数分解の結果
N=598660672549356470685940719081056400666580071403292199882593105751106570886451910228787641074010913230446289632138996832723306480302540394280837815472375262163534915643
  ( 168 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=7444483359376530123707340177521318836833474628003821134892941514151353736791082837 (pp82)
 r2=80416684899339186819271435257284669841017111933411402390836349981380078636670050505039 (pp86)
Version: Msieve v. 1.48
Total time:
Scaled time: 64.10 units (timescale=0.653).
Factorization parameters were as follows:
n: 598660672549356470685940719081056400666580071403292199882593105751106570886451910228787641074010913230446289632138996832723306480302540394280837815472375262163534915643
m: 10000000000000000000000000000000000000
deg: 5
c5: 65
c0: 43
skew: 0.92
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 1000000
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4550000, 11550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1741370 x 1741596
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Max DettweilerMarch 6, 2009 00:32:56 UTC 2009 年 3 月 6 日 (金) 9 時 32 分 56 秒 (日本時間)
255e4204Ignacio SantosAugust 22, 2010 13:57:50 UTC 2010 年 8 月 22 日 (日) 22 時 57 分 50 秒 (日本時間)
3025e4403Ignacio SantosAugust 22, 2010 13:57:58 UTC 2010 年 8 月 22 日 (日) 22 時 57 分 58 秒 (日本時間)
351e6300Ignacio SantosAugust 22, 2010 18:49:35 UTC 2010 年 8 月 23 日 (月) 3 時 49 分 35 秒 (日本時間)
403e6110 / 2144Ignacio SantosAugust 22, 2010 18:49:35 UTC 2010 年 8 月 23 日 (月) 3 時 49 分 35 秒 (日本時間)
4511e632 / 4441Ignacio SantosAugust 22, 2010 18:49:35 UTC 2010 年 8 月 23 日 (月) 3 時 49 分 35 秒 (日本時間)

65×10187+439

c131

name 名前Robert Backstrom
date 日付July 10, 2008 10:36:28 UTC 2008 年 7 月 10 日 (木) 19 時 36 分 28 秒 (日本時間)
composite number 合成数
16718710758983417904325764979115737352533734026329181743231117992679770513403951522113448936053249828131368509947780448280670564561<131>
prime factors 素因数
3377652857328732875380257962975302947377<40>
4949801375445568906672988898650230437891483199484561725621942929232193814285739846837010593<91>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.1.4] [ECM]
Input number is 16718710758983417904325764979115737352533734026329181743231117992679770513403951522113448936053249828131368509947780448280670564561 (131 digits)
Using B1=3520000, B2=5707365310, polynomial Dickson(6), sigma=225760141
Step 1 took 45328ms
Step 2 took 18969ms
********** Factor found in step 2: 3377652857328732875380257962975302947377
Found probable prime factor of 40 digits: 3377652857328732875380257962975302947377
Probable prime cofactor 4949801375445568906672988898650230437891483199484561725621942929232193814285739846837010593 has 91 digits

65×10189+439

c189

name 名前Wataru Sakai
date 日付October 27, 2009 13:06:16 UTC 2009 年 10 月 27 日 (火) 22 時 6 分 16 秒 (日本時間)
composite number 合成数
218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855219<189>
prime factors 素因数
344169962009931548308268017081595995989862134133897845813087998330100327017231481133237154389<93>
635892852406752029790139607998304098096231541911114002251357000552628373073014289921768913242471<96>
factorization results 素因数分解の結果
Number: 72227_189
N=218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855219
  ( 189 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=344169962009931548308268017081595995989862134133897845813087998330100327017231481133237154389
 r2=635892852406752029790139607998304098096231541911114002251357000552628373073014289921768913242471
Version: 
Total time: 327.17 hours.
Scaled time: 656.96 units (timescale=2.008).
Factorization parameters were as follows:
n: 218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855218855219
m: 100000000000000000000000000000000000000
deg: 5
c5: 13
c0: 86
skew: 1.46
type: snfs
lss: 1
rlim: 10700000
alim: 10700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10700000/10700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5350000, 8950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1761109 x 1761357
Total sieving time: 327.17 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,191,5,0,0,0,0,0,0,0,0,10700000,10700000,28,28,54,54,2.5,2.5,100000
total time: 327.17 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
3025e443050Makoto KamadaFebruary 5, 2009 04:25:32 UTC 2009 年 2 月 5 日 (木) 13 時 25 分 32 秒 (日本時間)
380Andreas TeteApril 7, 2009 15:46:08 UTC 2009 年 4 月 8 日 (水) 0 時 46 分 8 秒 (日本時間)
351e60--
403e60--
4511e6700 / 4479Dmitry DomanovJune 20, 2009 22:18:24 UTC 2009 年 6 月 21 日 (日) 7 時 18 分 24 秒 (日本時間)

65×10191+439

c154

composite cofactor 合成数の残り
1782273046678260456560503126617621393287999382158763878059972237503028737809365356256810301598403157692043216543126913724589893011698315177706705791974649<154>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Max DettweilerMarch 6, 2009 00:41:36 UTC 2009 年 3 月 6 日 (金) 9 時 41 分 36 秒 (日本時間)
255e4204Ignacio SantosAugust 22, 2010 13:58:26 UTC 2010 年 8 月 22 日 (日) 22 時 58 分 26 秒 (日本時間)
3025e4403Ignacio SantosAugust 22, 2010 13:58:38 UTC 2010 年 8 月 22 日 (日) 22 時 58 分 38 秒 (日本時間)
351e6300Ignacio SantosAugust 22, 2010 19:56:38 UTC 2010 年 8 月 23 日 (月) 4 時 56 分 38 秒 (日本時間)
403e61110110Ignacio SantosAugust 22, 2010 19:56:38 UTC 2010 年 8 月 23 日 (月) 4 時 56 分 38 秒 (日本時間)
1000Dmitry DomanovDecember 23, 2012 18:06:18 UTC 2012 年 12 月 24 日 (月) 3 時 6 分 18 秒 (日本時間)
4511e6422032Ignacio SantosAugust 22, 2010 19:56:38 UTC 2010 年 8 月 23 日 (月) 4 時 56 分 38 秒 (日本時間)
700Dmitry DomanovDecember 28, 2012 22:45:06 UTC 2012 年 12 月 29 日 (土) 7 時 45 分 6 秒 (日本時間)
3488yas matFebruary 10, 2015 06:15:51 UTC 2015 年 2 月 10 日 (火) 15 時 15 分 51 秒 (日本時間)
5043e6152 / 6562KTakahashiOctober 4, 2016 10:07:00 UTC 2016 年 10 月 4 日 (火) 19 時 7 分 0 秒 (日本時間)

65×10192+439

c153

composite cofactor 合成数の残り
486874979152054047897013649779237370325053123698747918110101972070610494190479560572295917431829448321417857484549430468778981389285777311111520071281597<153>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Max DettweilerMarch 6, 2009 00:42:21 UTC 2009 年 3 月 6 日 (金) 9 時 42 分 21 秒 (日本時間)
255e4204Ignacio SantosAugust 22, 2010 13:58:55 UTC 2010 年 8 月 22 日 (日) 22 時 58 分 55 秒 (日本時間)
3025e4403Ignacio SantosAugust 22, 2010 13:59:02 UTC 2010 年 8 月 22 日 (日) 22 時 59 分 2 秒 (日本時間)
351e6300Ignacio SantosAugust 22, 2010 20:30:43 UTC 2010 年 8 月 23 日 (月) 5 時 30 分 43 秒 (日本時間)
403e61110110Ignacio SantosAugust 22, 2010 20:30:43 UTC 2010 年 8 月 23 日 (月) 5 時 30 分 43 秒 (日本時間)
1000Dmitry DomanovDecember 23, 2012 18:06:45 UTC 2012 年 12 月 24 日 (月) 3 時 6 分 45 秒 (日本時間)
4511e6422032Ignacio SantosAugust 22, 2010 20:30:43 UTC 2010 年 8 月 23 日 (月) 5 時 30 分 43 秒 (日本時間)
700Dmitry DomanovDecember 28, 2012 22:44:29 UTC 2012 年 12 月 29 日 (土) 7 時 44 分 29 秒 (日本時間)
3488yas matFebruary 13, 2015 00:43:22 UTC 2015 年 2 月 13 日 (金) 9 時 43 分 22 秒 (日本時間)
5043e6152 / 6562KTakahashiOctober 4, 2016 10:07:17 UTC 2016 年 10 月 4 日 (火) 19 時 7 分 17 秒 (日本時間)

65×10194+439

c167

name 名前Ignacio Santos
date 日付August 22, 2010 13:54:18 UTC 2010 年 8 月 22 日 (日) 22 時 54 分 18 秒 (日本時間)
composite number 合成数
51342884892057433455312940001374134071460125186488738669270628902692473553023740598975903026172358775182819833759679854214440062111976499446763280435693086553894515983<167>
prime factors 素因数
115326965446741182383882334367601077<36>
445194102638276257875666239443579478667151909829177561391451215835535102758739321859646411649336599765918464445366740562540718601779<132>
factorization results 素因数分解の結果
Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=1756628656
Step 1 took 1716ms
Step 2 took 1186ms
********** Factor found in step 2: 115326965446741182383882334367601077
Found probable prime factor of 36 digits: 115326965446741182383882334367601077
Probable prime cofactor 445194102638276257875666239443579478667151909829177561391451215835535102758739321859646411649336599765918464445366740562540718601779 has 132 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
2011e374Max DettweilerMarch 6, 2009 00:43:12 UTC 2009 年 3 月 6 日 (金) 9 時 43 分 12 秒 (日本時間)

65×10196+439

c165

name 名前Dmitry Domanov
date 日付December 29, 2012 09:06:04 UTC 2012 年 12 月 29 日 (土) 18 時 6 分 4 秒 (日本時間)
composite number 合成数
361915551548092936690856728260962243092395288435318415127531360687931554555277499017489437662120609928123278868746527491815278447712128504835570870027714883030269861<165>
prime factors 素因数
1402102904343454381764133316288206971751<40>
composite cofactor 合成数の残り
258123387682135011222846267624516085589584183508394557705931282349934931576760700930844237828804335573084740199280512918030611<126>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2051019199
Step 1 took 91190ms
Step 2 took 33688ms
********** Factor found in step 2: 1402102904343454381764133316288206971751
Found probable prime factor of 40 digits: 1402102904343454381764133316288206971751
Composite cofactor 258123387682135011222846267624516085589584183508394557705931282349934931576760700930844237828804335573084740199280512918030611 has 126 digits

c126

name 名前Dmitry Domanov
date 日付January 3, 2013 16:18:53 UTC 2013 年 1 月 4 日 (金) 1 時 18 分 53 秒 (日本時間)
composite number 合成数
258123387682135011222846267624516085589584183508394557705931282349934931576760700930844237828804335573084740199280512918030611<126>
prime factors 素因数
14537407265769639621238988233731420607459<41>
17755806311481873392950205818502096009042430386860350880467949571046481024696478227729<86>
factorization results 素因数分解の結果
Mon Dec 31 12:50:39 2012  commencing relation filtering
Mon Dec 31 12:50:39 2012  estimated available RAM is 4096.0 MB
Mon Dec 31 12:50:39 2012  commencing duplicate removal, pass 1
Mon Dec 31 12:54:55 2012  found 1412344 hash collisions in 11526155 relations
Mon Dec 31 12:55:29 2012  added 55 free relations
Mon Dec 31 12:55:29 2012  commencing duplicate removal, pass 2
Mon Dec 31 12:55:36 2012  found 1151771 duplicates and 10374439 unique relations
Mon Dec 31 12:55:36 2012  memory use: 49.3 MB
Mon Dec 31 12:55:36 2012  reading ideals above 720000
Mon Dec 31 12:55:36 2012  commencing singleton removal, initial pass
Mon Dec 31 13:00:03 2012  memory use: 344.5 MB
Mon Dec 31 13:00:03 2012  reading all ideals from disk
Mon Dec 31 13:00:03 2012  memory use: 305.0 MB
Mon Dec 31 13:00:04 2012  commencing in-memory singleton removal
Mon Dec 31 13:00:05 2012  begin with 10374439 relations and 11275751 unique ideals
Mon Dec 31 13:00:16 2012  reduce to 4074937 relations and 3921510 ideals in 19 passes
Mon Dec 31 13:00:16 2012  max relations containing the same ideal: 84
Mon Dec 31 13:00:19 2012  removing 167871 relations and 158499 ideals in 9372 cliques
Mon Dec 31 13:00:19 2012  commencing in-memory singleton removal
Mon Dec 31 13:00:20 2012  begin with 3907066 relations and 3921510 unique ideals
Mon Dec 31 13:00:23 2012  reduce to 3901240 relations and 3757156 ideals in 8 passes
Mon Dec 31 13:00:23 2012  max relations containing the same ideal: 84
Mon Dec 31 13:00:25 2012  removing 119976 relations and 110604 ideals in 9372 cliques
Mon Dec 31 13:00:26 2012  commencing in-memory singleton removal
Mon Dec 31 13:00:26 2012  begin with 3781264 relations and 3757156 unique ideals
Mon Dec 31 13:00:29 2012  reduce to 3778097 relations and 3643369 ideals in 8 passes
Mon Dec 31 13:00:29 2012  max relations containing the same ideal: 79
Mon Dec 31 13:00:31 2012  relations with 0 large ideals: 486
Mon Dec 31 13:00:31 2012  relations with 1 large ideals: 2323
Mon Dec 31 13:00:31 2012  relations with 2 large ideals: 33715
Mon Dec 31 13:00:31 2012  relations with 3 large ideals: 197420
Mon Dec 31 13:00:31 2012  relations with 4 large ideals: 609187
Mon Dec 31 13:00:31 2012  relations with 5 large ideals: 1053584
Mon Dec 31 13:00:31 2012  relations with 6 large ideals: 1051593
Mon Dec 31 13:00:31 2012  relations with 7+ large ideals: 829789
Mon Dec 31 13:00:31 2012  commencing 2-way merge
Mon Dec 31 13:00:34 2012  reduce to 2136663 relation sets and 2001936 unique ideals
Mon Dec 31 13:00:34 2012  ignored 1 oversize relation sets
Mon Dec 31 13:00:34 2012  commencing full merge
Mon Dec 31 13:01:21 2012  memory use: 220.5 MB
Mon Dec 31 13:01:22 2012  found 1051211 cycles, need 1038136
Mon Dec 31 13:01:22 2012  weight of 1038136 cycles is about 72824493 (70.15/cycle)
Mon Dec 31 13:01:22 2012  distribution of cycle lengths:
Mon Dec 31 13:01:22 2012  1 relations: 141102
Mon Dec 31 13:01:22 2012  2 relations: 131058
Mon Dec 31 13:01:22 2012  3 relations: 126020
Mon Dec 31 13:01:22 2012  4 relations: 108119
Mon Dec 31 13:01:22 2012  5 relations: 93121
Mon Dec 31 13:01:22 2012  6 relations: 76876
Mon Dec 31 13:01:22 2012  7 relations: 66444
Mon Dec 31 13:01:22 2012  8 relations: 53874
Mon Dec 31 13:01:22 2012  9 relations: 44358
Mon Dec 31 13:01:22 2012  10+ relations: 197164
Mon Dec 31 13:01:22 2012  heaviest cycle: 25 relations
Mon Dec 31 13:01:23 2012  commencing cycle optimization
Mon Dec 31 13:01:25 2012  start with 6140221 relations
Mon Dec 31 13:01:37 2012  pruned 123485 relations
Mon Dec 31 13:01:38 2012  memory use: 210.7 MB
Mon Dec 31 13:01:38 2012  distribution of cycle lengths:
Mon Dec 31 13:01:38 2012  1 relations: 141102
Mon Dec 31 13:01:38 2012  2 relations: 133984
Mon Dec 31 13:01:38 2012  3 relations: 130020
Mon Dec 31 13:01:38 2012  4 relations: 109767
Mon Dec 31 13:01:38 2012  5 relations: 94519
Mon Dec 31 13:01:38 2012  6 relations: 77394
Mon Dec 31 13:01:38 2012  7 relations: 66216
Mon Dec 31 13:01:38 2012  8 relations: 53219
Mon Dec 31 13:01:38 2012  9 relations: 43665
Mon Dec 31 13:01:38 2012  10+ relations: 188250
Mon Dec 31 13:01:38 2012  heaviest cycle: 25 relations
Mon Dec 31 13:01:39 2012  RelProcTime: 660
Mon Dec 31 13:01:40 2012
Mon Dec 31 13:01:40 2012  commencing linear algebra
Mon Dec 31 13:01:40 2012  read 1038136 cycles
Mon Dec 31 13:01:43 2012  cycles contain 3602439 unique relations
Mon Dec 31 13:02:58 2012  read 3602439 relations
Mon Dec 31 13:03:04 2012  using 20 quadratic characters above 134216838
Mon Dec 31 13:03:36 2012  building initial matrix
Mon Dec 31 13:04:52 2012  memory use: 452.1 MB
Mon Dec 31 13:04:53 2012  read 1038136 cycles
Mon Dec 31 13:04:54 2012  matrix is 1037949 x 1038136 (311.1 MB) with weight 97754703 (94.16/col)
Mon Dec 31 13:04:54 2012  sparse part has weight 70132592 (67.56/col)
Mon Dec 31 13:05:12 2012  filtering completed in 2 passes
Mon Dec 31 13:05:13 2012  matrix is 1033955 x 1034141 (310.6 MB) with weight 97561351 (94.34/col)
Mon Dec 31 13:05:13 2012  sparse part has weight 70059377 (67.75/col)
Mon Dec 31 13:05:17 2012  matrix starts at (0, 0)
Mon Dec 31 13:05:17 2012  matrix is 1033955 x 1034141 (310.6 MB) with weight 97561351 (94.34/col)
Mon Dec 31 13:05:17 2012  sparse part has weight 70059377 (67.75/col)
Mon Dec 31 13:05:17 2012  saving the first 48 matrix rows for later
Mon Dec 31 13:05:18 2012  matrix includes 64 packed rows
Mon Dec 31 13:05:18 2012  matrix is 1033907 x 1034141 (300.1 MB) with weight 77724953 (75.16/col)
Mon Dec 31 13:05:18 2012  sparse part has weight 68323482 (66.07/col)
Mon Dec 31 13:05:18 2012  using block size 262144 for processor cache size 12288 kB
Mon Dec 31 13:05:23 2012  commencing Lanczos iteration (8 threads)
Mon Dec 31 13:05:23 2012  memory use: 379.2 MB
Mon Dec 31 13:05:30 2012  linear algebra at 0.1%, ETA 1h19m
Mon Dec 31 13:05:33 2012  checkpointing every 730000 dimensions
Mon Dec 31 14:28:59 2012  lanczos halted after 16350 iterations (dim = 1033905)
Mon Dec 31 14:29:02 2012  recovered 30 nontrivial dependencies
Mon Dec 31 14:29:02 2012  BLanczosTime: 5242
Mon Dec 31 14:29:02 2012
Mon Dec 31 14:29:02 2012  commencing square root phase
Mon Dec 31 14:29:02 2012  reading relations for dependency 1
Mon Dec 31 14:29:03 2012  read 516026 cycles
Mon Dec 31 14:29:04 2012  cycles contain 1799374 unique relations
Mon Dec 31 14:29:41 2012  read 1799374 relations
Mon Dec 31 14:29:56 2012  multiplying 1799374 relations
Mon Dec 31 14:34:33 2012  multiply complete, coefficients have about 76.86 million bits
Mon Dec 31 14:34:34 2012  initial square root is modulo 328837
Mon Dec 31 14:39:58 2012  GCD is 1, no factor found
Mon Dec 31 14:39:58 2012  reading relations for dependency 2
Mon Dec 31 14:39:58 2012  read 517177 cycles
Mon Dec 31 14:40:00 2012  cycles contain 1802298 unique relations
Mon Dec 31 14:40:46 2012  read 1802298 relations
Mon Dec 31 14:41:01 2012  multiplying 1802298 relations
Mon Dec 31 14:45:44 2012  multiply complete, coefficients have about 76.98 million bits
Mon Dec 31 14:45:46 2012  initial square root is modulo 335809
Mon Dec 31 14:51:16 2012  GCD is N, no factor found
Mon Dec 31 14:51:16 2012  reading relations for dependency 3
Mon Dec 31 14:51:16 2012  read 516585 cycles
Mon Dec 31 14:51:17 2012  cycles contain 1799214 unique relations
Mon Dec 31 14:51:58 2012  read 1799214 relations
Mon Dec 31 14:52:11 2012  multiplying 1799214 relations
Mon Dec 31 14:56:31 2012  multiply complete, coefficients have about 76.85 million bits
Mon Dec 31 14:56:32 2012  initial square root is modulo 328411
Mon Dec 31 15:02:00 2012  sqrtTime: 1978

prp41 = 14537407265769639621238988233731420607459
prp86 = 17755806311481873392950205818502096009042430386860350880467949571046481024696478227729
NFS elapsed time = 67637.6190 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Max DettweilerMarch 6, 2009 00:44:02 UTC 2009 年 3 月 6 日 (金) 9 時 44 分 2 秒 (日本時間)
255e4204Ignacio SantosAugust 22, 2010 13:59:33 UTC 2010 年 8 月 22 日 (日) 22 時 59 分 33 秒 (日本時間)
3025e4403Ignacio SantosAugust 22, 2010 13:59:41 UTC 2010 年 8 月 22 日 (日) 22 時 59 分 41 秒 (日本時間)
351e6300Ignacio SantosAugust 22, 2010 21:19:53 UTC 2010 年 8 月 23 日 (月) 6 時 19 分 53 秒 (日本時間)
403e61110110Ignacio SantosAugust 22, 2010 21:19:53 UTC 2010 年 8 月 23 日 (月) 6 時 19 分 53 秒 (日本時間)
1000Dmitry DomanovDecember 23, 2012 18:07:07 UTC 2012 年 12 月 24 日 (月) 3 時 7 分 7 秒 (日本時間)
4511e6672 / 422032Ignacio SantosAugust 22, 2010 21:19:53 UTC 2010 年 8 月 23 日 (月) 6 時 19 分 53 秒 (日本時間)
640Dmitry DomanovDecember 28, 2012 22:43:58 UTC 2012 年 12 月 29 日 (土) 7 時 43 分 58 秒 (日本時間)

65×10197+439

c191

name 名前Ignacio Santos
date 日付September 1, 2010 11:33:33 UTC 2010 年 9 月 1 日 (水) 20 時 33 分 33 秒 (日本時間)
composite number 合成数
33128142207473777176945404153982601803048577023208399107348447299009815628994123133828678566876364239193891794405342788533236876415154600146050256727047700544305060079593266736695481983456081<191>
prime factors 素因数
3296983163579069319676872740954569392586656179002403786310639061072493998957<76>
10048016797122866874080447284120713641197698468664489778429550873258543489602898482403791717816120439946971679116533<116>
factorization results 素因数分解の結果
Number: 8
N=33128142207473777176945404153982601803048577023208399107348447299009815628994123133828678566876364239193891794405342788533236876415154600146050256727047700544305060079593266736695481983456081
  ( 191 digits)
SNFS difficulty: 198 digits.
Divisors found:
 r1=3296983163579069319676872740954569392586656179002403786310639061072493998957 (pp76)
 r2=10048016797122866874080447284120713641197698468664489778429550873258543489602898482403791717816120439946971679116533 (pp116)
Version: Msieve-1.40
Total time: 538.65 hours.
Scaled time: 936.71 units (timescale=1.739).
Factorization parameters were as follows:
n: 33128142207473777176945404153982601803048577023208399107348447299009815628994123133828678566876364239193891794405342788533236876415154600146050256727047700544305060079593266736695481983456081
m: 1000000000000000000000000000000000000000
deg: 5
c5: 6500
c0: 43
skew: 0.37
type: snfs
lss: 1
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [7200000, 15200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2608160 x 2608384
Total sieving time: 525.06 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 11.95 hours.
Time per square root: 1.33 hours.
Prototype def-par.txt line would be:
snfs,198.000,5,0,0,0,0,0,0,0,0,14400000,14400000,28,28,55,55,2.5,2.5,100000
total time: 538.65 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
2011e374Max DettweilerMarch 6, 2009 00:44:57 UTC 2009 年 3 月 6 日 (金) 9 時 44 分 57 秒 (日本時間)
255e40--
3025e40--
351e6420120Serge BatalovJune 18, 2010 05:47:16 UTC 2010 年 6 月 18 日 (金) 14 時 47 分 16 秒 (日本時間)
300Ignacio SantosJune 21, 2010 20:26:01 UTC 2010 年 6 月 22 日 (火) 5 時 26 分 1 秒 (日本時間)
403e62125110Ignacio SantosJune 21, 2010 20:26:01 UTC 2010 年 6 月 22 日 (火) 5 時 26 分 1 秒 (日本時間)
2015Wataru SakaiJune 26, 2010 06:59:32 UTC 2010 年 6 月 26 日 (土) 15 時 59 分 32 秒 (日本時間)
4511e632 / 3991Ignacio SantosJune 21, 2010 20:26:01 UTC 2010 年 6 月 22 日 (火) 5 時 26 分 1 秒 (日本時間)

65×10199+439

c184

name 名前Ignacio Santos
date 日付August 22, 2010 14:00:34 UTC 2010 年 8 月 22 日 (日) 23 時 0 分 34 秒 (日本時間)
composite number 合成数
9075345147887319369378718815773777753721393446681799098811666996799334278523970458312525918126766538082598102755710931923311766120044367112683111039334958682080427576972170881719001461<184>
prime factors 素因数
28471682109840050372193837501779<32>
composite cofactor 合成数の残り
318749876205972548821813341629779365441848850494352846143527502420614252646982685843675204339592529657649170873275001196315016608022538467503393979233559<153>
factorization results 素因数分解の結果
Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=1306081229
Step 1 took 1919ms
Step 2 took 1388ms
********** Factor found in step 2: 28471682109840050372193837501779
Found probable prime factor of 32 digits: 28471682109840050372193837501779
Composite cofactor 318749876205972548821813341629779365441848850494352846143527502420614252646982685843675204339592529657649170873275001196315016608022538467503393979233559 has 153 digits
software ソフトウェア
GMP-ECM 6.3

c153

name 名前KTakahashi
date 日付October 2, 2016 09:43:23 UTC 2016 年 10 月 2 日 (日) 18 時 43 分 23 秒 (日本時間)
composite number 合成数
318749876205972548821813341629779365441848850494352846143527502420614252646982685843675204339592529657649170873275001196315016608022538467503393979233559<153>
prime factors 素因数
87378325198946765853726945510689126651760281<44>
71441238231144875885241109232738228327672239860070391<53>
51061942865720783341876540329370343841481291375631496329<56>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 318749876205972548821813341629779365441848850494352846143527502420614252646982685843675204339592529657649170873275001196315016608022538467503393979233559 (153 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3970277437
Step 1 took 216483ms
Step 2 took 74210ms
********** Factor found in step 2: 71441238231144875885241109232738228327672239860070391
Found probable prime factor of 53 digits: 71441238231144875885241109232738228327672239860070391
Composite cofactor 4461707049010990357444010204500684270167142931469051714214808131640461584898937386553679053839508449 has 100 digits

Number: 72227_199
N=4461707049010990357444010204500684270167142931469051714214808131640461584898937386553679053839508449
  ( 100 digits)
Divisors found:
 r1=87378325198946765853726945510689126651760281 (pp44)
 r2=51061942865720783341876540329370343841481291375631496329 (pp56)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 7.17 hours.
Scaled time: 10.77 units (timescale=1.502).
Factorization parameters were as follows:
name: 72227_199
n: 4461707049010990357444010204500684270167142931469051714214808131640461584898937386553679053839508449
skew: 6167.89
# norm 5.71e+013
c5: 15120
c4: -772061716
c3: 1326512090208
c2: 20211464956283487
c1: 36822775836286190092
c0: 35958144716370784892100
# alpha -5.73
Y1: 23187656179
Y0: -12416469760461926321
# Murphy_E 3.59e-009
# M 717650254256422493678904901983949230548504762942963510839897379299998569851955321387465852467827373
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 177096 x 177321
Polynomial selection time: 0.38 hours.
Total sieving time: 6.60 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 7.17 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
2011e374Max DettweilerMarch 6, 2009 00:45:53 UTC 2009 年 3 月 6 日 (金) 9 時 45 分 53 秒 (日本時間)
255e4204Ignacio SantosAugust 22, 2010 22:57:11 UTC 2010 年 8 月 23 日 (月) 7 時 57 分 11 秒 (日本時間)
3025e4403Ignacio SantosAugust 22, 2010 22:57:19 UTC 2010 年 8 月 23 日 (月) 7 時 57 分 19 秒 (日本時間)
351e6300Ignacio SantosAugust 22, 2010 22:57:30 UTC 2010 年 8 月 23 日 (月) 7 時 57 分 30 秒 (日本時間)
403e61110110Ignacio SantosAugust 22, 2010 22:57:30 UTC 2010 年 8 月 23 日 (月) 7 時 57 分 30 秒 (日本時間)
1000Dmitry DomanovDecember 23, 2012 18:07:27 UTC 2012 年 12 月 24 日 (月) 3 時 7 分 27 秒 (日本時間)
4511e6422032Ignacio SantosAugust 22, 2010 22:57:30 UTC 2010 年 8 月 23 日 (月) 7 時 57 分 30 秒 (日本時間)
700Dmitry DomanovDecember 28, 2012 22:43:23 UTC 2012 年 12 月 29 日 (土) 7 時 43 分 23 秒 (日本時間)
3488yas matFebruary 18, 2015 00:57:06 UTC 2015 年 2 月 18 日 (水) 9 時 57 分 6 秒 (日本時間)

65×10202+439

c189

name 名前Warut Roonguthai
date 日付December 20, 2012 15:33:56 UTC 2012 年 12 月 21 日 (金) 0 時 33 分 56 秒 (日本時間)
composite number 合成数
168844264222182799466217922006804227345999691484949578598710433668164891643350476948166153983826119380342152044173727572014138081732655393955313660783414879366755277048295651321247602230247<189>
prime factors 素因数
71704699865856532850830859376403<32>
2354716839175851519186317699947818472495188897661138576738547006173395935296100613647091778301850282380361676102788439579384090431856799844296972098202195549<157>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3378308294
Step 1 took 10561ms
Step 2 took 6537ms
********** Factor found in step 2: 71704699865856532850830859376403
Found probable prime factor of 32 digits: 71704699865856532850830859376403
Probable prime cofactor 2354716839175851519186317699947818472495188897661138576738547006173395935296100613647091778301850282380361676102788439579384090431856799844296972098202195549 has 157 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 KamadaDecember 20, 2012 14:00:00 UTC 2012 年 12 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)

65×10204+439

c180

name 名前Dmitry Domanov
date 日付December 20, 2012 16:13:59 UTC 2012 年 12 月 21 日 (金) 1 時 13 分 59 秒 (日本時間)
composite number 合成数
123940303911965555997728539617560058199377905158590649274642065994168123309896744366641072254589570634639161874559243662121192307556623418614731066873057002782534009735487845927217<180>
prime factors 素因数
100216252855031186227645983746081851<36>
1236728578260181319555790168223370041764691925965318636002510125690519220313213556246535710353807014020475332990001869103834344179503878934523267<145>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3493363545
Step 1 took 33537ms
Step 2 took 11784ms
********** Factor found in step 2: 100216252855031186227645983746081851
Found probable prime factor of 36 digits: 100216252855031186227645983746081851

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 20, 2012 14:00:00 UTC 2012 年 12 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)

65×10206+439

c179

composite cofactor 合成数の残り
46868809666221802408222281362467417011315655878964932980499630575502784422894264539504609623858434763304381975715876899378520558491671898608415824035807609695513977493232013143191<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 20, 2012 14:00:00 UTC 2012 年 12 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2012 18:07:46 UTC 2012 年 12 月 24 日 (月) 3 時 7 分 46 秒 (日本時間)
4511e642541000Dmitry DomanovDecember 26, 2012 12:55:05 UTC 2012 年 12 月 26 日 (水) 21 時 55 分 5 秒 (日本時間)
3254yas matFebruary 19, 2015 09:37:03 UTC 2015 年 2 月 19 日 (木) 18 時 37 分 3 秒 (日本時間)

65×10207+439

c141

name 名前Dmitry Domanov
date 日付December 21, 2012 12:50:43 UTC 2012 年 12 月 21 日 (金) 21 時 50 分 43 秒 (日本時間)
composite number 合成数
136212090412074493071546974951472159569368326355795602365266339748615509594880274584702947109911225907063297707530603925028963762154927797659<141>
prime factors 素因数
730478527383826673344857408298101353<36>
12192039248965064351142147791754562238737041427277633<53>
15294379130012970568036268211683303287281332818000291<53>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=495116721
Step 1 took 14229ms
Step 2 took 5247ms
********** Factor found in step 2: 730478527383826673344857408298101353
Found probable prime factor of 36 digits: 730478527383826673344857408298101353
Composite cofactor 186469670641670291985795010606710034875021548437616197235663053651233860009126222293809902039315131791203 has 105 digits

GNFS
prp53 = 12192039248965064351142147791754562238737041427277633
prp53 = 15294379130012970568036268211683303287281332818000291
NFS elapsed time = 8372.4204 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 20, 2012 14:00:00 UTC 2012 年 12 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)

65×10208+439

c199

composite cofactor 合成数の残り
2296063840859644165053572057780158777188349792818004550332459883367499489371359436509112219032696675494260056812465108335873137685732535257517685260792268457180817050536611971248472302606538604748497<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 20, 2012 14:00:00 UTC 2012 年 12 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2012 18:08:05 UTC 2012 年 12 月 24 日 (月) 3 時 8 分 5 秒 (日本時間)
4511e642541000Dmitry DomanovDecember 26, 2012 12:55:27 UTC 2012 年 12 月 26 日 (水) 21 時 55 分 27 秒 (日本時間)
3254yas matMarch 2, 2015 06:42:12 UTC 2015 年 3 月 2 日 (月) 15 時 42 分 12 秒 (日本時間)

65×10215+439

c198

composite cofactor 合成数の残り
529724246192221416079769344725698256321785799340134642102312415767240014286745708149381496399174378094119654241963044750615635476867946604877752727499724750535130129560471625841862785650195046001089<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 20, 2012 14:00:00 UTC 2012 年 12 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2012 18:08:18 UTC 2012 年 12 月 24 日 (月) 3 時 8 分 18 秒 (日本時間)
4511e642541000Dmitry DomanovDecember 26, 2012 12:55:46 UTC 2012 年 12 月 26 日 (水) 21 時 55 分 46 秒 (日本時間)
3254yas matMarch 11, 2015 23:45:50 UTC 2015 年 3 月 12 日 (木) 8 時 45 分 50 秒 (日本時間)

65×10219+439

c189

composite cofactor 合成数の残り
475445105590349934014096890404310330973570223350129711059459273086843050751249294773351391071693235336969355815928728708849303760851935021110319197234201633331706295624567878645590070730007<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 20, 2012 14:00:00 UTC 2012 年 12 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2012 18:08:30 UTC 2012 年 12 月 24 日 (月) 3 時 8 分 30 秒 (日本時間)
4511e642541000Dmitry DomanovDecember 26, 2012 12:56:07 UTC 2012 年 12 月 26 日 (水) 21 時 56 分 7 秒 (日本時間)
3254yas matMarch 19, 2015 04:34:42 UTC 2015 年 3 月 19 日 (木) 13 時 34 分 42 秒 (日本時間)

65×10221+439

c215

composite cofactor 合成数の残り
83515419432617054987027549899531592848865010674105757682785797891991152659132882013437014257456889436852828575389221363773650137384792245565038924160020220496382503910224059150296905667624896892184381642647824765737<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 20, 2012 14:00:00 UTC 2012 年 12 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2012 18:08:42 UTC 2012 年 12 月 24 日 (月) 3 時 8 分 42 秒 (日本時間)
4511e642541000Dmitry DomanovDecember 24, 2012 06:38:41 UTC 2012 年 12 月 24 日 (月) 15 時 38 分 41 秒 (日本時間)
3254yas matMarch 30, 2015 00:21:20 UTC 2015 年 3 月 30 日 (月) 9 時 21 分 20 秒 (日本時間)

65×10223+439

c222

name 名前Warut Roonguthai
date 日付December 20, 2012 17:04:31 UTC 2012 年 12 月 21 日 (金) 2 時 4 分 31 秒 (日本時間)
composite number 合成数
937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937951<222>
prime factors 素因数
36832427814302321591895347512349<32>
25465357393213276591223369503200040198735173818034774117232639914412865516355537191841346508135565343964958475781709797434938302049227035354405794977832718846952879242173086379441017971094699<191>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1945572584
Step 1 took 14071ms
Step 2 took 7971ms
********** Factor found in step 2: 36832427814302321591895347512349
Found probable prime factor of 32 digits: 36832427814302321591895347512349
Probable prime cofactor 25465357393213276591223369503200040198735173818034774117232639914412865516355537191841346508135565343964958475781709797434938302049227035354405794977832718846952879242173086379441017971094699 has 191 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 KamadaDecember 20, 2012 14:00:00 UTC 2012 年 12 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)

65×10224+439

c221

composite cofactor 合成数の残り
22498433762880353329249002280995053805869668303860385103960070472017140345229812847644067855276228847145641014990879481082278502919604442921473543572543603695281213115548494508651513106202991253301212492514944151964805527<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 20, 2012 14:00:00 UTC 2012 年 12 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2012 18:08:58 UTC 2012 年 12 月 24 日 (月) 3 時 8 分 58 秒 (日本時間)
4511e642541000Dmitry DomanovDecember 24, 2012 06:38:27 UTC 2012 年 12 月 24 日 (月) 15 時 38 分 27 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:15:32 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 32 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:31 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 31 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:47 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 47 秒 (日本時間)
1104KTakahashiAugust 14, 2014 10:29:41 UTC 2014 年 8 月 14 日 (木) 19 時 29 分 41 秒 (日本時間)

65×10228+439

c185

composite cofactor 合成数の残り
18761190466183695103820566029557893657601681871502489298945590136893227611538677942089655778467949758655159075954840553682175754945537305671267717438619936272604771561935004884494753031<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 20, 2012 14:00:00 UTC 2012 年 12 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2012 18:09:11 UTC 2012 年 12 月 24 日 (月) 3 時 9 分 11 秒 (日本時間)
4511e642541000Dmitry DomanovDecember 26, 2012 12:56:34 UTC 2012 年 12 月 26 日 (水) 21 時 56 分 34 秒 (日本時間)
3254yas matApril 6, 2015 23:52:20 UTC 2015 年 4 月 7 日 (火) 8 時 52 分 20 秒 (日本時間)

65×10229+439

c207

composite cofactor 合成数の残り
565239036516619469095772702482794181148970904277424070111225308434254303701388976834727771643548810790820284921929082247936661418716787291064545934363092293515928037101029186807675508935197440130020527265127<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 20, 2012 14:00:00 UTC 2012 年 12 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2012 18:09:23 UTC 2012 年 12 月 24 日 (月) 3 時 9 分 23 秒 (日本時間)
4511e642541000Dmitry DomanovDecember 26, 2012 12:58:42 UTC 2012 年 12 月 26 日 (水) 21 時 58 分 42 秒 (日本時間)
3254yas matApril 12, 2015 23:55:14 UTC 2015 年 4 月 13 日 (月) 8 時 55 分 14 秒 (日本時間)

65×10231+439

c194

name 名前Dmitry Domanov
date 日付December 26, 2012 15:50:18 UTC 2012 年 12 月 27 日 (木) 0 時 50 分 18 秒 (日本時間)
composite number 合成数
46406053550519538904158628492742888348423798976217246518286590504868020077683766508386682707821854657332009835608491242779755442005230312782546973304044491048267270941953594355953429717172302457<194>
prime factors 素因数
778078915215087650281131766365074551718183<42>
59641834064725063211255059637059761297614956334536280421600958092647120960823713533539411500719145027635567729515594521290801717673678612067715819402079<152>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2212659088
Step 1 took 139167ms
Step 2 took 42204ms
********** Factor found in step 2: 778078915215087650281131766365074551718183
Found probable prime factor of 42 digits: 778078915215087650281131766365074551718183

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 20, 2012 14:00:00 UTC 2012 年 12 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2012 18:09:35 UTC 2012 年 12 月 24 日 (月) 3 時 9 分 35 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovDecember 26, 2012 13:02:35 UTC 2012 年 12 月 26 日 (水) 22 時 2 分 35 秒 (日本時間)

65×10232+439

c219

name 名前Dmitry Domanov
date 日付December 21, 2012 10:31:28 UTC 2012 年 12 月 21 日 (金) 19 時 31 分 28 秒 (日本時間)
composite number 合成数
468898734107976448610159624162991600522265682084811534430768248321113082832373126829082187919757318766602003472251296128466869579647665780285695802800996031739078993382902752129825922974761881747973413394500919612724317<219>
prime factors 素因数
9946139618773672441094504774877321301<37>
47143791669977600773550419502924857377637455371746918011886546822753396624597070878101124693398756271808185666996841242287905328945993368773925238336820422679724546172924865771402217<182>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4017020262
Step 1 took 30925ms
Step 2 took 11074ms
********** Factor found in step 2: 9946139618773672441094504774877321301
Found probable prime factor of 37 digits: 9946139618773672441094504774877321301

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 20, 2012 14:00:00 UTC 2012 年 12 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)

65×10233+439

c175

composite cofactor 合成数の残り
1441409686327449201282080259528817269993228328473622211321780477187278712207410883912491612474076944779354153427493474172327682979462161516193573666220857737455979537406553937<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 20, 2012 14:00:00 UTC 2012 年 12 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2012 18:10:06 UTC 2012 年 12 月 24 日 (月) 3 時 10 分 6 秒 (日本時間)
4511e642541000Dmitry DomanovDecember 24, 2012 06:38:11 UTC 2012 年 12 月 24 日 (月) 15 時 38 分 11 秒 (日本時間)
3254yas matApril 19, 2015 23:45:18 UTC 2015 年 4 月 20 日 (月) 8 時 45 分 18 秒 (日本時間)

65×10235+439

c223

composite cofactor 合成数の残り
4942509246306081112170096280413869039408884868953257290891614559195919503948035406377113017485384060964075293773396340617667422760405923695550588984866526548471731677291043772870005601469614049558046974635854898176209629899<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 20, 2012 14:00:00 UTC 2012 年 12 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2012 18:10:19 UTC 2012 年 12 月 24 日 (月) 3 時 10 分 19 秒 (日本時間)
4511e642541000Dmitry DomanovDecember 29, 2012 14:32:59 UTC 2012 年 12 月 29 日 (土) 23 時 32 分 59 秒 (日本時間)
3254yas matApril 20, 2015 05:55:52 UTC 2015 年 4 月 20 日 (月) 14 時 55 分 52 秒 (日本時間)

65×10236+439

c231

composite cofactor 合成数の残り
378325488317803654077100289954474638892686694752386840954816703338047268917773166863134002946166087333936209549948073371630349456925402304048786992447983010042562781514178504325686327543847487566623846041781219259235201638463665591<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 20, 2012 14:00:00 UTC 2012 年 12 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2012 18:10:32 UTC 2012 年 12 月 24 日 (月) 3 時 10 分 32 秒 (日本時間)
4511e642541000Dmitry DomanovDecember 24, 2012 06:36:27 UTC 2012 年 12 月 24 日 (月) 15 時 36 分 27 秒 (日本時間)
3254yas matApril 27, 2015 23:42:44 UTC 2015 年 4 月 28 日 (火) 8 時 42 分 44 秒 (日本時間)

65×10237+439

c225

composite cofactor 合成数の残り
234699870179034690939224278428211100984765302430145571908841257994697560260746506262439251982663052205380515803659029508281015488977925059734737156142983450676399437016393445009021456117720644758139703136168191970180618575727<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 20, 2012 14:00:00 UTC 2012 年 12 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2012 18:12:56 UTC 2012 年 12 月 24 日 (月) 3 時 12 分 56 秒 (日本時間)
4511e642541000Dmitry DomanovDecember 24, 2012 06:37:45 UTC 2012 年 12 月 24 日 (月) 15 時 37 分 45 秒 (日本時間)
3254yas matApril 27, 2015 23:42:00 UTC 2015 年 4 月 28 日 (火) 8 時 42 分 0 秒 (日本時間)

65×10238+439

c227

name 名前Warut Roonguthai
date 日付December 20, 2012 22:04:55 UTC 2012 年 12 月 21 日 (金) 7 時 4 分 55 秒 (日本時間)
composite number 合成数
23228973563971968951875915887647249578389073697246402767885577300182978404156716628319996853269379239715572482855851196695397401291851345321976930478414178709232460335543892576771007802038480465540698833501306136031479821412201<227>
prime factors 素因数
35963245252073006892517976786311<32>
4526360676206495396084813525630953<34>
composite cofactor 合成数の残り
142699347711211413693198300700136768369095067018489417091662361980307539415398907747569774024537966973772068090810158632647331996166975515429233382000406693771447<162>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3451185865
Step 1 took 14009ms
Step 2 took 8003ms
********** Factor found in step 2: 35963245252073006892517976786311
Found probable prime factor of 32 digits: 35963245252073006892517976786311
Composite cofactor 645908716000344705589931846254044245329179775806964737200637162347828487990856680646931470944634204867881483359248376935771116508762147389330625660478930478916631958371304814963666569075850798991 has 195 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2468037310
Step 1 took 9922ms
Step 2 took 5709ms
********** Factor found in step 2: 4526360676206495396084813525630953
Found probable prime factor of 34 digits: 4526360676206495396084813525630953
Composite cofactor 142699347711211413693198300700136768369095067018489417091662361980307539415398907747569774024537966973772068090810158632647331996166975515429233382000406693771447 has 162 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
351e6118Makoto KamadaDecember 20, 2012 14:00:00 UTC 2012 年 12 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2012 18:13:40 UTC 2012 年 12 月 24 日 (月) 3 時 13 分 40 秒 (日本時間)
4511e622501000Dmitry DomanovDecember 24, 2012 06:37:33 UTC 2012 年 12 月 24 日 (月) 15 時 37 分 33 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:12:57 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 57 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:39 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 39 秒 (日本時間)
5043e6600 / 7010Erik BrangerMarch 18, 2014 08:32:24 UTC 2014 年 3 月 18 日 (火) 17 時 32 分 24 秒 (日本時間)

65×10239+439

c202

name 名前Dmitry Domanov
date 日付December 29, 2012 09:06:54 UTC 2012 年 12 月 29 日 (土) 18 時 6 分 54 秒 (日本時間)
composite number 合成数
1955128975918551168408935949314856355777383329190686592245650133057035169805638501753333057309129973789282330850480037205820064575381142816938835015540042406112222615793891685917104020973321630649939269<202>
prime factors 素因数
191644486532692246910487151556966411217937<42>
10201853501196496225855170978035232302901183126330386652136215937473648475211040592954148612752205194890095537114473261761255442563534805060003407013185757198837<161>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1692521254
Step 1 took 93783ms
Step 2 took 31506ms
********** Factor found in step 2: 191644486532692246910487151556966411217937
Found probable prime factor of 42 digits: 191644486532692246910487151556966411217937

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 20, 2012 14:00:00 UTC 2012 年 12 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2012 18:13:51 UTC 2012 年 12 月 24 日 (月) 3 時 13 分 51 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovDecember 28, 2012 22:46:05 UTC 2012 年 12 月 29 日 (土) 7 時 46 分 5 秒 (日本時間)

65×10240+439

c241

name 名前matsui
date 日付April 19, 2015 19:25:50 UTC 2015 年 4 月 20 日 (月) 4 時 25 分 50 秒 (日本時間)
composite number 合成数
2407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407409<241>
prime factors 素因数
163759235058727634669271103765306809431004053292945946495814916457263166643653976749<84>
14700895534496473344824672427242735522949319772878350956981327724224090703551000667162149220961457979251013901572432102744134273233204602159251826349160664341<158>
factorization results 素因数分解の結果
N=2407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407409
  ( 241 digits)
SNFS difficulty: 241 digits.
Divisors found:
p84 factor: 163759235058727634669271103765306809431004053292945946495814916457263166643653976749
p158 factor: 14700895534496473344824672427242735522949319772878350956981327724224090703551000667162149220961457979251013901572432102744134273233204602159251826349160664341

Version: Msieve v. 1.53 (SVN unknown)
Total time: 
Scaled time: 211.58 units (timescale=1.904).
Factorization parameters were as follows:
n: 2407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407409
m: 10000000000000000000000000000000000000000
deg: 6
c6: 65
c0: 43
skew: 0.93
# Murphy_E = 3.205e-13
type: snfs
lss: 1
rlim: 75000000
alim: 75000000
lpbr: 30
lpba: 30
mfbr: 61
mfba: 61
rlambda: 2.7
alambda: 2.7
qintsize: 800000
Factor base limits: 75000000/75000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 61/61
Sieved rational special-q in [37500000, 104700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 12625060 x 12625288
Total sieving time: 
Total relation processing time: 
Matrix solve time: 
Time per square root: 
Prototype def-par.txt line would be:
snfs,241.000,6,0,0,0,0,0,0,0,0,75000000,75000000,30,30,61,61,2.7,2.7,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 20, 2012 14:00:00 UTC 2012 年 12 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2012 18:14:02 UTC 2012 年 12 月 24 日 (月) 3 時 14 分 2 秒 (日本時間)
4511e61000Dmitry DomanovDecember 24, 2012 06:36:44 UTC 2012 年 12 月 24 日 (月) 15 時 36 分 44 秒 (日本時間)
5043e6928 / 5205Dmitry DomanovJanuary 28, 2013 09:08:05 UTC 2013 年 1 月 28 日 (月) 18 時 8 分 5 秒 (日本時間)
5511e7865 / 17368yoyo@homeOctober 1, 2013 20:45:35 UTC 2013 年 10 月 2 日 (水) 5 時 45 分 35 秒 (日本時間)

65×10241+439

c240

composite cofactor 合成数の残り
937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937950937951<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 20, 2012 14:00:00 UTC 2012 年 12 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2012 18:14:23 UTC 2012 年 12 月 24 日 (月) 3 時 14 分 23 秒 (日本時間)
4511e61000Dmitry DomanovDecember 24, 2012 06:36:55 UTC 2012 年 12 月 24 日 (月) 15 時 36 分 55 秒 (日本時間)
5043e6940 / 7291500Dmitry DomanovJanuary 5, 2013 15:27:07 UTC 2013 年 1 月 6 日 (日) 0 時 27 分 7 秒 (日本時間)
440Dmitry DomanovJanuary 25, 2013 09:51:12 UTC 2013 年 1 月 25 日 (金) 18 時 51 分 12 秒 (日本時間)

65×10243+439

c193

name 名前yas mat
date 日付April 30, 2015 23:59:53 UTC 2015 年 5 月 1 日 (金) 8 時 59 分 53 秒 (日本時間)
composite number 合成数
6333249304516753080495708713012391860088302815780097122565729082910354243553449599843717516625808231613413038793085452621748299927152953849444929516303795699476116522346495354614265924557212947<193>
prime factors 素因数
754858987804870474663603721183680029393919<42>
8389976680192731900921805453635464523979671566192036549084208636780797708251088469865203045004116852470105843551219782346530511030686501109401459468013<151>
factorization results 素因数分解の結果
Run 1031 out of 3254:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3237209401
Step 1 took 198651ms
Step 2 took 42963ms
********** Factor found in step 2: 754858987804870474663603721183680029393919
Found probable prime factor of 42 digits: 754858987804870474663603721183680029393919
Probable prime cofactor 8389976680192731900921805453635464523979671566192036549084208636780797708251088469865203045004116852470105843551219782346530511030686501109401459468013 has 151 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 20, 2012 14:00:00 UTC 2012 年 12 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2012 18:14:37 UTC 2012 年 12 月 24 日 (月) 3 時 14 分 37 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovDecember 25, 2012 23:06:23 UTC 2012 年 12 月 26 日 (水) 8 時 6 分 23 秒 (日本時間)

65×10244+439

c208

composite cofactor 合成数の残り
5671871397895040119249341459703790430701000993374520682877284895501756496253834063651507386058189805795131807643677271364595362616034461041417179671962419764097658453984564238532895463894734959174111572968029<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 20, 2012 14:00:00 UTC 2012 年 12 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2012 18:14:58 UTC 2012 年 12 月 24 日 (月) 3 時 14 分 58 秒 (日本時間)
4511e642541000Dmitry DomanovDecember 28, 2012 22:42:33 UTC 2012 年 12 月 29 日 (土) 7 時 42 分 33 秒 (日本時間)
3254yas matMay 10, 2015 23:43:26 UTC 2015 年 5 月 11 日 (月) 8 時 43 分 26 秒 (日本時間)

65×10246+439

c215

name 名前Dmitry Domanov
date 日付December 29, 2012 09:05:18 UTC 2012 年 12 月 29 日 (土) 18 時 5 分 18 秒 (日本時間)
composite number 合成数
22179513974073145263807123629395453298218909144757741104129927530635030209438144025390223139991697621730063805589831151821991012579251469854819398871038640491220592736851988874199951109041793187492869233279424560223<215>
prime factors 素因数
2249347428200562200486793872564977223<37>
composite cofactor 合成数の残り
9860421603174197334066521453131609415172457383543921971317824062279127215011240942585166643688359584768677411760673506808672458825703508549654784032162827631626224441461077321001<178>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3589392696
Step 1 took 140294ms
Step 2 took 45375ms
********** Factor found in step 2: 2249347428200562200486793872564977223
Found probable prime factor of 37 digits: 2249347428200562200486793872564977223

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 20, 2012 14:00:00 UTC 2012 年 12 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2012 18:15:12 UTC 2012 年 12 月 24 日 (月) 3 時 15 分 12 秒 (日本時間)
4511e642541000Dmitry DomanovDecember 28, 2012 22:41:10 UTC 2012 年 12 月 29 日 (土) 7 時 41 分 10 秒 (日本時間)
3254yas matJune 8, 2015 09:32:32 UTC 2015 年 6 月 8 日 (月) 18 時 32 分 32 秒 (日本時間)

65×10247+439

c191

composite cofactor 合成数の残り
70993768696688205969340227600090379014709559855037438199507755005825781709207593591894304345137749862172356873874310436436839556570812693756788966113151087178302947497392455978653537267383213<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 20, 2012 14:00:00 UTC 2012 年 12 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2012 18:15:22 UTC 2012 年 12 月 24 日 (月) 3 時 15 分 22 秒 (日本時間)
4511e642541000Dmitry DomanovDecember 26, 2012 13:03:49 UTC 2012 年 12 月 26 日 (水) 22 時 3 分 49 秒 (日本時間)
3254yas matJuly 23, 2015 02:02:58 UTC 2015 年 7 月 23 日 (木) 11 時 2 分 58 秒 (日本時間)

65×10249+439

c239

composite cofactor 合成数の残り
67884674101480115226864768817222978743218306003835654485620658037896939204356954921557461766330114075633175869838471637181655714176474920141449458946387546764467049121615536844555657684838362716791246772182465150983594517067555951685621999<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 20, 2012 14:00:00 UTC 2012 年 12 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2012 18:15:32 UTC 2012 年 12 月 24 日 (月) 3 時 15 分 32 秒 (日本時間)
4511e642541000Dmitry DomanovDecember 24, 2012 06:37:10 UTC 2012 年 12 月 24 日 (月) 15 時 37 分 10 秒 (日本時間)
3254yas matAugust 5, 2015 09:12:23 UTC 2015 年 8 月 5 日 (水) 18 時 12 分 23 秒 (日本時間)