Table of contents 目次

44×10113+19

c99

name 名前Robert Backstrom
date 日付March 4, 2009 17:02:07 UTC 2009 年 3 月 5 日 (木) 2 時 2 分 7 秒 (日本時間)
composite number 合成数
821677118216657280176438291640989826544716440836332482465075702032722614207146795471847445212222993<99>
prime factors 素因数
388108802120652459580690750421457618243901<42>
2117130850233126729863891430790043326178467398399902760293<58>
factorization results 素因数分解の結果
Number: n
N=821677118216657280176438291640989826544716440836332482465075702032722614207146795471847445212222993
  ( 99 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=388108802120652459580690750421457618243901 (pp42)
 r2=2117130850233126729863891430790043326178467398399902760293 (pp58)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.28 hours.
Scaled time: 2.31 units (timescale=1.803).
Factorization parameters were as follows:
name: KA_4_8_112_9
n: 821677118216657280176438291640989826544716440836332482465075702032722614207146795471847445212222993
deg: 5
c5: 11
c0: 25
m: 100000000000000000000000
skew: 1.18
type: snfs
rlim: 500000
alim: 500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [250000, 330001)
Primes: RFBsize:41538, AFBsize:41278, largePrimes:5238750 encountered
Relations: rels:4744123, finalFF:291634
Max relations in full relation-set: 48
Initial matrix: 82882 x 291634 with sparse part having weight 36298120.
Pruned matrix : 59122 x 59600 with weight 4271825.
Total sieving time: 1.13 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.02 hours.
Total square root time: 0.01 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,500000,500000,28,28,56,56,2.5,2.5,50000
total time: 1.28 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)

44×10121+19

c121

name 名前Serge Batalov
date 日付March 4, 2009 10:49:29 UTC 2009 年 3 月 4 日 (水) 19 時 49 分 29 秒 (日本時間)
composite number 合成数
6984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984127<121>
prime factors 素因数
4128872157334460592498795153932340323839073<43>
1691533842170553966100917485120791742004368907555220632245540146694891547578399<79>
factorization results 素因数分解の結果
SNFS difficulty: 123 digits.
Divisors found:
 r1=4128872157334460592498795153932340323839073 (pp43)
 r2=1691533842170553966100917485120791742004368907555220632245540146694891547578399 (pp79)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.532).
Factorization parameters were as follows:
n: 6984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984127
m: 2000000000000000000000000
deg: 5
c5: 55
c0: 4
skew: 0.59
type: snfs
lss: 1
rlim: 790000
alim: 790000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 790000/790000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [395000, 595001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 75391 x 75629
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,123,5,0,0,0,0,0,0,0,0,790000,790000,25,25,46,46,2.2,2.2,50000
total time: 1.00 hours.
 --------- CPU info (if available) ----------
[    0.292369] CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 3.20GHz stepping 0b
execution environment 実行環境
Q6600/ubuntu/x64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)

44×10124+19

c116

name 名前Robert Backstrom
date 日付March 4, 2009 18:10:38 UTC 2009 年 3 月 5 日 (木) 3 時 10 分 38 秒 (日本時間)
composite number 合成数
60333785922977645087382713158145034367621150985678689491667920138777832729104385222146722853596300475841613507490037<116>
prime factors 素因数
65607094660330748342507041418685412456239437054398433<53>
919622888886411805956840633746774726304291375836858991352861589<63>
factorization results 素因数分解の結果
Number: n
N=60333785922977645087382713158145034367621150985678689491667920138777832729104385222146722853596300475841613507490037
  ( 116 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=65607094660330748342507041418685412456239437054398433 (pp53)
 r2=919622888886411805956840633746774726304291375836858991352861589 (pp63)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 2.19 hours.
Scaled time: 4.00 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_4_8_123_9
n: 60333785922977645087382713158145034367621150985678689491667920138777832729104385222146722853596300475841613507490037
deg: 5
c5: 22
c0: 5
m: 10000000000000000000000000
skew: 0.74
type: snfs
rlim: 700000
alim: 700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [350000, 590001)
Primes: RFBsize:56543, AFBsize:56389, largePrimes:6813290 encountered
Relations: rels:6080771, finalFF:209465
Max relations in full relation-set: 48
Initial matrix: 112998 x 209465 with sparse part having weight 32083107.
Pruned matrix : 100471 x 101099 with weight 10250707.
Total sieving time: 1.94 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.07 hours.
Total square root time: 0.06 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,700000,700000,28,28,56,56,2.5,2.5,50000
total time: 2.19 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)

44×10126+19

c105

name 名前Sinkiti Sibata
date 日付March 5, 2009 03:23:46 UTC 2009 年 3 月 5 日 (木) 12 時 23 分 46 秒 (日本時間)
composite number 合成数
210516763676276950698136815053296181646950051888481831521398162638508208518541145810777388154911507366913<105>
prime factors 素因数
43521265142965607939995083695342551<35>
4837101196041471624016224793481902477753259738852941541678317678476263<70>
factorization results 素因数分解の結果
Number: 48889_126
N=210516763676276950698136815053296181646950051888481831521398162638508208518541145810777388154911507366913
  ( 105 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=43521265142965607939995083695342551 (pp35)
 r2=4837101196041471624016224793481902477753259738852941541678317678476263 (pp70)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 3.26 hours.
Scaled time: 1.54 units (timescale=0.472).
Factorization parameters were as follows:
name: 48889_126
n: 210516763676276950698136815053296181646950051888481831521398162638508208518541145810777388154911507366913
m: 20000000000000000000000000
deg: 5
c5: 55
c0: 4
skew: 0.59
type: snfs
lss: 1
rlim: 960000
alim: 960000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 960000/960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [480000, 730001)
Primes: RFBsize:75618, AFBsize:75696, largePrimes:2683272 encountered
Relations: rels:2701674, finalFF:313626
Max relations in full relation-set: 28
Initial matrix: 151381 x 313626 with sparse part having weight 22104515.
Pruned matrix : 104189 x 105009 with weight 5480480.
Total sieving time: 3.01 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,960000,960000,26,26,47,47,2.3,2.3,50000
total time: 3.26 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)

44×10129+19

c118

name 名前Sinkiti Sibata
date 日付March 5, 2009 11:13:07 UTC 2009 年 3 月 5 日 (木) 20 時 13 分 7 秒 (日本時間)
composite number 合成数
1221426831180688279002960012848720777457743423346284193353725933058191571678564724627024589146425316248590692769717447<118>
prime factors 素因数
1728160936759207317423250449466784351977326069208277330599<58>
706778405413566726875860515905167801632878263168590878384353<60>
factorization results 素因数分解の結果
Number: 48889_129
N=1221426831180688279002960012848720777457743423346284193353725933058191571678564724627024589146425316248590692769717447
  ( 118 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=1728160936759207317423250449466784351977326069208277330599 (pp58)
 r2=706778405413566726875860515905167801632878263168590878384353 (pp60)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 5.53 hours.
Scaled time: 2.60 units (timescale=0.471).
Factorization parameters were as follows:
name: 48889_129
n: 1221426831180688279002960012848720777457743423346284193353725933058191571678564724627024589146425316248590692769717447
m: 100000000000000000000000000
deg: 5
c5: 22
c0: 5
skew: 0.74
type: snfs
lss: 1
rlim: 1080000
alim: 1080000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
 Factor base limits: 1080000/1080000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [540000, 990001)
Primes: RFBsize:84270, AFBsize:84259, largePrimes:2900239 encountered
Relations: rels:2881979, finalFF:279784
Max relations in full relation-set: 28
Initial matrix: 168595 x 279784 with sparse part having weight 23071610.
Pruned matrix : 139231 x 140137 with weight 8439977.
Total sieving time: 5.09 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.27 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1080000,1080000,26,26,47,47,2.3,2.3,50000
total time: 5.53 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4  2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)

44×10133+19

c107

name 名前Sinkiti Sibata
date 日付March 5, 2009 22:41:52 UTC 2009 年 3 月 6 日 (金) 7 時 41 分 52 秒 (日本時間)
composite number 合成数
18489741485016257135346283032261676060769126256758607819178488418225259325848314110850542595306213532323453<107>
prime factors 素因数
475289440566006397290321440921632356329911<42>
38902066629120643950031096910524820921090037036621244084069980523<65>
factorization results 素因数分解の結果
Number: 48889_133
N=18489741485016257135346283032261676060769126256758607819178488418225259325848314110850542595306213532323453
  ( 107 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=475289440566006397290321440921632356329911 (pp42)
 r2=38902066629120643950031096910524820921090037036621244084069980523 (pp65)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 5.19 hours.
Scaled time: 2.45 units (timescale=0.472).
Factorization parameters were as follows:
name: 48889_133
n: 18489741485016257135346283032261676060769126256758607819178488418225259325848314110850542595306213532323453
m: 1000000000000000000000000000
deg: 5
c5: 11
c0: 25
skew: 1.18
type: snfs
lss: 1
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [650000, 1025001)
Primes: RFBsize:100021, AFBsize:99949, largePrimes:2903136 encountered
Relations: rels:2787872, finalFF:227347
Max relations in full relation-set: 28
Initial matrix: 200036 x 227347 with sparse part having weight 14910802.
Pruned matrix : 186194 x 187258 with weight 9969896.
Total sieving time: 4.50 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.53 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,48,48,2.3,2.3,75000
total time: 5.19 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)

44×10136+19

c96

name 名前Sinkiti Sibata
date 日付March 5, 2009 04:15:04 UTC 2009 年 3 月 5 日 (木) 13 時 15 分 4 秒 (日本時間)
composite number 合成数
623759382903363309442819325262807299780625921424957644014837575765133655544083293853710133467917<96>
prime factors 素因数
63545509271969160839589261705139727353<38>
9815947500455591675226778421185762174956963827834493969589<58>
factorization results 素因数分解の結果
Thu Mar 05 07:47:34 2009  Msieve v. 1.39
Thu Mar 05 07:47:34 2009  random seeds: 301109d8 a9663a24
Thu Mar 05 07:47:34 2009  factoring 623759382903363309442819325262807299780625921424957644014837575765133655544083293853710133467917 (96 digits)
Thu Mar 05 07:47:35 2009  searching for 15-digit factors
Thu Mar 05 07:47:37 2009  commencing quadratic sieve (96-digit input)
Thu Mar 05 07:47:37 2009  using multiplier of 37
Thu Mar 05 07:47:37 2009  using 32kb Intel Core sieve core
Thu Mar 05 07:47:37 2009  sieve interval: 36 blocks of size 32768
Thu Mar 05 07:47:37 2009  processing polynomials in batches of 6
Thu Mar 05 07:47:37 2009  using a sieve bound of 2296643 (84706 primes)
Thu Mar 05 07:47:37 2009  using large prime bound of 344496450 (28 bits)
Thu Mar 05 07:47:37 2009  using double large prime bound of 2327729440990800 (43-52 bits)
Thu Mar 05 07:47:37 2009  using trial factoring cutoff of 52 bits
Thu Mar 05 07:47:37 2009  polynomial 'A' values have 13 factors
Thu Mar 05 12:58:34 2009  84852 relations (21193 full + 63659 combined from 1272611 partial), need 84802
Thu Mar 05 12:58:35 2009  begin with 1293804 relations
Thu Mar 05 12:58:36 2009  reduce to 220822 relations in 11 passes
Thu Mar 05 12:58:36 2009  attempting to read 220822 relations
Thu Mar 05 12:58:40 2009  recovered 220822 relations
Thu Mar 05 12:58:40 2009  recovered 207250 polynomials
Thu Mar 05 12:58:41 2009  attempting to build 84852 cycles
Thu Mar 05 12:58:41 2009  found 84852 cycles in 6 passes
Thu Mar 05 12:58:41 2009  distribution of cycle lengths:
Thu Mar 05 12:58:41 2009     length 1 : 21193
Thu Mar 05 12:58:41 2009     length 2 : 15024
Thu Mar 05 12:58:41 2009     length 3 : 14112
Thu Mar 05 12:58:41 2009     length 4 : 11403
Thu Mar 05 12:58:41 2009     length 5 : 8579
Thu Mar 05 12:58:41 2009     length 6 : 5646
Thu Mar 05 12:58:41 2009     length 7 : 3635
Thu Mar 05 12:58:41 2009     length 9+: 5260
Thu Mar 05 12:58:41 2009  largest cycle: 20 relations
Thu Mar 05 12:58:41 2009  matrix is 84706 x 84852 (23.0 MB) with weight 5702238 (67.20/col)
Thu Mar 05 12:58:41 2009  sparse part has weight 5702238 (67.20/col)
Thu Mar 05 12:58:43 2009  filtering completed in 3 passes
Thu Mar 05 12:58:43 2009  matrix is 80736 x 80800 (22.1 MB) with weight 5469628 (67.69/col)
Thu Mar 05 12:58:43 2009  sparse part has weight 5469628 (67.69/col)
Thu Mar 05 12:58:43 2009  saving the first 48 matrix rows for later
Thu Mar 05 12:58:43 2009  matrix is 80688 x 80800 (14.4 MB) with weight 4400241 (54.46/col)
Thu Mar 05 12:58:43 2009  sparse part has weight 3289200 (40.71/col)
Thu Mar 05 12:58:43 2009  matrix includes 64 packed rows
Thu Mar 05 12:58:43 2009  using block size 32320 for processor cache size 1024 kB
Thu Mar 05 12:58:44 2009  commencing Lanczos iteration
Thu Mar 05 12:58:44 2009  memory use: 13.5 MB
Thu Mar 05 12:59:30 2009  lanczos halted after 1277 iterations (dim = 80687)
Thu Mar 05 12:59:31 2009  recovered 17 nontrivial dependencies
Thu Mar 05 12:59:31 2009  prp38 factor: 63545509271969160839589261705139727353
Thu Mar 05 12:59:31 2009  prp58 factor: 9815947500455591675226778421185762174956963827834493969589
Thu Mar 05 12:59:31 2009  elapsed time 05:11:57

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)

44×10137+19

c128

name 名前Erik Branger
date 日付March 5, 2009 06:11:25 UTC 2009 年 3 月 5 日 (木) 15 時 11 分 25 秒 (日本時間)
composite number 合成数
85032544403003913164511408344638894700587909343810261464472220252022999799189906695559056297867704674071987039169362400711360359<128>
prime factors 素因数
12240016285778463240974206995369762183863435353214459015510897<62>
6947094057530157592362535638508766194233043079469194501342993730647<67>
factorization results 素因数分解の結果
Number: 48889_137
N=85032544403003913164511408344638894700587909343810261464472220252022999799189906695559056297867704674071987039169362400711360359
  ( 128 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=12240016285778463240974206995369762183863435353214459015510897
 r2=6947094057530157592362535638508766194233043079469194501342993730647
Version: 
Total time: 7.58 hours.
Scaled time: 5.98 units (timescale=0.789).
Factorization parameters were as follows:
n: 85032544403003913164511408344638894700587909343810261464472220252022999799189906695559056297867704674071987039169362400711360359
m: 5000000000000000000000000000
deg: 5
c5: 176
c0: 125
skew: 0.93
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [800000, 1500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 220979 x 221227
Total sieving time: 7.58 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,140,5,0,0,0,0,0,0,0,0,1600000,1600000,26,26,48,48,2.3,2.3,100000
total time: 7.58 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)

44×10146+19

c144

name 名前Serge Batalov
date 日付March 4, 2009 09:05:45 UTC 2009 年 3 月 4 日 (水) 18 時 5 分 45 秒 (日本時間)
composite number 合成数
228559555347774141603033608643706820424912991532907381434730663342164043426315516077086904576385642304295880733468391252402472598826035011168251<144>
prime factors 素因数
156337413536843385713359958798964493<36>
1461963263796163962865030542478007762086954023549779035977892379429908347870832965015267111700485435552397607<109>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=4255872709
Step 1 took 3561ms
Step 2 took 3080ms
********** Factor found in step 2: 156337413536843385713359958798964493
Found probable prime factor of 36 digits: 156337413536843385713359958798964493
Probable prime cofactor has 109 digits
software ソフトウェア
GMP-ECM 6.2.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)

44×10147+19

c131

name 名前Jo Yeong Uk
date 日付March 5, 2009 06:23:38 UTC 2009 年 3 月 5 日 (木) 15 時 23 分 38 秒 (日本時間)
composite number 合成数
58344430307177078103853004340775132563588429062398214023891731755851726496979978562384892952305723706132625607061463371516041750251<131>
prime factors 素因数
7555590219918819923651901826599066098972117404756182938387<58>
7722021524322947254908061786740476987835591485377922556867885562685104073<73>
factorization results 素因数分解の結果
Number: 48889_147
N=58344430307177078103853004340775132563588429062398214023891731755851726496979978562384892952305723706132625607061463371516041750251
  ( 131 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=7555590219918819923651901826599066098972117404756182938387
 r2=7722021524322947254908061786740476987835591485377922556867885562685104073
Version: 
Total time: 5.59 hours.
Scaled time: 13.25 units (timescale=2.368).
Factorization parameters were as follows:
n: 58344430307177078103853004340775132563588429062398214023891731755851726496979978562384892952305723706132625607061463371516041750251
m: 200000000000000000000000000000
deg: 5
c5: 275
c0: 2
skew: 0.37
type: snfs
lss: 1
rlim: 1650000
alim: 1650000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 1650000/1650000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [825000, 1350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 6253725
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 338846 x 339094
Total sieving time: 5.05 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 0.25 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,1650000,1650000,27,27,49,49,2.4,2.4,75000
total time: 5.59 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)

44×10149+19

c146

name 名前Serge Batalov
date 日付March 7, 2009 05:52:33 UTC 2009 年 3 月 7 日 (土) 14 時 52 分 33 秒 (日本時間)
composite number 合成数
20568340649118132394669060073578564049345319066384319445028772303794391387474815469262017286755391008830362610496398203074966927043160793003024481<146>
prime factors 素因数
2097300725793172414818766211917996426019369864092134123926619108377<67>
9807053607602909688818978170095407278852726104132093533745020732100373184796553<79>
factorization results 素因数分解の結果
SNFS difficulty: 151 digits.
Divisors found:
 r1=2097300725793172414818766211917996426019369864092134123926619108377 (pp67)
 r2=9807053607602909688818978170095407278852726104132093533745020732100373184796553 (pp79)
Version: Msieve-1.40
Total time: 6.50 hours.
Scaled time: 23.00 units (timescale=3.536).
Factorization parameters were as follows:
n: 20568340649118132394669060073578564049345319066384319445028772303794391387474815469262017286755391008830362610496398203074966927043160793003024481
m: 1000000000000000000000000000000
deg: 5
c5: 22
c0: 5
skew: 0.74
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 316427 x 316675
Total sieving time: 6.50 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,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 6.50 hours.
 --------- CPU info (if available) ----------
[    0.296963] CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
software ソフトウェア
Msieve-1.40
execution environment 実行環境
Q6600/ubuntu-64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)

44×10153+19

c137

name 名前Erik Branger
date 日付March 5, 2009 06:09:53 UTC 2009 年 3 月 5 日 (木) 15 時 9 分 53 秒 (日本時間)
composite number 合成数
24702016765051234823956342110814867364739946009553963035599813443028417579906934494458521408693453087791090127424365104513052832027357803<137>
prime factors 素因数
514376085519544118671517084473390831428830178432400813<54>
48023260529503490148502526990560189158732046641053517542997206357039491897439290231<83>
factorization results 素因数分解の結果
Number: 48889_153
N=24702016765051234823956342110814867364739946009553963035599813443028417579906934494458521408693453087791090127424365104513052832027357803
  ( 137 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=514376085519544118671517084473390831428830178432400813
 r2=48023260529503490148502526990560189158732046641053517542997206357039491897439290231
Version: 
Total time: 18.83 hours.
Scaled time: 18.72 units (timescale=0.994).
Factorization parameters were as follows:
n: 24702016765051234823956342110814867364739946009553963035599813443028417579906934494458521408693453087791090127424365104513052832027357803
m: 10000000000000000000000000000000
deg: 5
c5: 11
c0: 25
skew: 1.18
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 427579 x 427827
Total sieving time: 18.83 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 18.83 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)

44×10154+19

c137

name 名前Sinkiti Sibata
date 日付March 8, 2009 07:13:21 UTC 2009 年 3 月 8 日 (日) 16 時 13 分 21 秒 (日本時間)
composite number 合成数
15333427966423627234645482187688620560689563067187928456403538018817446826320562875885755637186001325087230224620697300802742730853917703<137>
prime factors 素因数
8332570143318425779243813301039<31>
1840179884800480883378157296911883995857869467338990022378628791144496792021799871577494763177951771934377<106>
factorization results 素因数分解の結果
Number: 48889_154
N=15333427966423627234645482187688620560689563067187928456403538018817446826320562875885755637186001325087230224620697300802742730853917703
  ( 137 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=8332570143318425779243813301039 (pp31)
 r2=1840179884800480883378157296911883995857869467338990022378628791144496792021799871577494763177951771934377 (pp106)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 46.89 hours.
Scaled time: 22.13 units (timescale=0.472).
Factorization parameters were as follows:
name: 48889_154
n: 15333427966423627234645482187688620560689563067187928456403538018817446826320562875885755637186001325087230224620697300802742730853917703
m: 10000000000000000000000000000000
deg: 5
c5: 22
c0: 5
skew: 0.74
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2500001)
Primes: RFBsize:203362, AFBsize:203168, largePrimes:8086929 encountered
Relations: rels:8238652, finalFF:570345
Max relations in full relation-set: 28
Initial matrix: 406596 x 570345 with sparse part having weight 62465658.
Pruned matrix : 347207 x 349303 with weight 35844249.
Total sieving time: 41.39 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 4.99 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 46.89 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)

44×10155+19

c125

name 名前Max Dettweiler
date 日付March 5, 2009 18:24:31 UTC 2009 年 3 月 6 日 (金) 3 時 24 分 31 秒 (日本時間)
composite number 合成数
65229466300261165037466919710830889605772008462449035695061304084027061958672194500187578471781399630589280305316461848357431<125>
prime factors 素因数
747721133841090078198137225206595801<36>
87237692433773177153894343644156201159419193259335438153340217639240104716819068675807631<89>
factorization results 素因数分解の結果
Number: 48889_155
N=65229466300261165037466919710830889605772008462449035695061304084027061958672194500187578471781399630589280305316461848357431
  ( 125 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=747721133841090078198137225206595801 (pp36)
 r2=87237692433773177153894343644156201159419193259335438153340217639240104716819068675807631 (pp89)
Version: Msieve-1.39
Total time: 19.81 hours.
Scaled time: 32.49 units (timescale=1.640).
Factorization parameters were as follows:
n: 65229466300261165037466919710830889605772008462449035695061304084027061958672194500187578471781399630589280305316461848357431
m: 20000000000000000000000000000000
deg: 5
c5: 11
c0: 8
skew: 0.94
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 417069 x 417317
Total sieving time: 19.81 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,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 19.81 hours.
 --------- CPU info (if available) ----------
[    0.367604] CPU0: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.452480] CPU1: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.004000] Memory: 2036264k/2070528k available (2576k kernel code, 32096k reserved, 1165k data, 424k init, 1152180k highmem)
[    0.004011] Calibrating delay loop (skipped), value calculated using timer frequency.. 4400.12 BogoMIPS (lpj=8800252)
[    0.004000] Calibrating delay using timer specific routine.. 4400.41 BogoMIPS (lpj=8800821)
[    0.456049] Total of 2 processors activated (8800.53 BogoMIPS).
software ソフトウェア
GGNFS (sieving), msieve v1.40 beta (postprocessing), w/factMsieve.pl
execution environment 実行環境
Core 2 Duo E4500 (2.2Ghz), Ubuntu 8.10 32-bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)

44×10156+19

c157

name 名前Serge Batalov
date 日付March 7, 2009 05:50:19 UTC 2009 年 3 月 7 日 (土) 14 時 50 分 19 秒 (日本時間)
composite number 合成数
4888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<157>
prime factors 素因数
47642835071258058596160680423741344870035443171703557<53>
102615406526012027575384100100642854238249884773756740758595557060587802504484698285306807742770051495077<105>
factorization results 素因数分解の結果
SNFS difficulty: 158 digits.
Divisors found:
 r1=47642835071258058596160680423741344870035443171703557 (pp53)
 r2=102615406526012027575384100100642854238249884773756740758595557060587802504484698285306807742770051495077 (pp105)
Version: Msieve-1.40
Total time: 8.26 hours.
Scaled time: 25.72 units (timescale=3.543).
Factorization parameters were as follows:
n: 4888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
m: 20000000000000000000000000000000
deg: 5
c5: 55
c0: 4
skew: 0.59
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1500000, 2300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 456648 x 456896
Total sieving time: 7.26 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 1.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,52,52,2.4,2.4,100000
total time: 8.26 hours.
 --------- CPU info (if available) ----------
[    0.296963] CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 3.20GHz stepping 0b
[    0.576059] Total of 4 processors activated (25632.11 BogoMIPS).
software ソフトウェア
Msieve-1.40
execution environment 実行環境
Q6600/ubuntu-64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)

44×10157+19

c101

name 名前Sinkiti Sibata
date 日付March 4, 2009 22:45:48 UTC 2009 年 3 月 5 日 (木) 7 時 45 分 48 秒 (日本時間)
composite number 合成数
18968621474825307162382576287788700571514677901865873275118921187359881407482695541073616281930603957<101>
prime factors 素因数
448350774135273865432868518969449532379539<42>
42307547057122291786168886739490857260394637940501717287063<59>
factorization results 素因数分解の結果
Wed Mar 04 20:58:06 2009  Msieve v. 1.39
Wed Mar 04 20:58:06 2009  random seeds: 90f10f5c a26ba651
Wed Mar 04 20:58:06 2009  factoring 18968621474825307162382576287788700571514677901865873275118921187359881407482695541073616281930603957 (101 digits)
Wed Mar 04 20:58:07 2009  searching for 15-digit factors
Wed Mar 04 20:58:09 2009  commencing quadratic sieve (101-digit input)
Wed Mar 04 20:58:09 2009  using multiplier of 1
Wed Mar 04 20:58:09 2009  using 32kb Intel Core sieve core
Wed Mar 04 20:58:09 2009  sieve interval: 36 blocks of size 32768
Wed Mar 04 20:58:09 2009  processing polynomials in batches of 6
Wed Mar 04 20:58:09 2009  using a sieve bound of 2895371 (105000 primes)
Wed Mar 04 20:58:09 2009  using large prime bound of 434305650 (28 bits)
Wed Mar 04 20:58:09 2009  using double large prime bound of 3532090588924500 (43-52 bits)
Wed Mar 04 20:58:09 2009  using trial factoring cutoff of 52 bits
Wed Mar 04 20:58:09 2009  polynomial 'A' values have 13 factors
Thu Mar 05 07:38:25 2009  105133 relations (25969 full + 79164 combined from 1562397 partial), need 105096
Thu Mar 05 07:38:27 2009  begin with 1588366 relations
Thu Mar 05 07:38:28 2009  reduce to 273626 relations in 11 passes
Thu Mar 05 07:38:28 2009  attempting to read 273626 relations
Thu Mar 05 07:38:33 2009  recovered 273626 relations
Thu Mar 05 07:38:33 2009  recovered 262620 polynomials
Thu Mar 05 07:38:33 2009  attempting to build 105133 cycles
Thu Mar 05 07:38:34 2009  found 105133 cycles in 6 passes
Thu Mar 05 07:38:34 2009  distribution of cycle lengths:
Thu Mar 05 07:38:34 2009     length 1 : 25969
Thu Mar 05 07:38:34 2009     length 2 : 18366
Thu Mar 05 07:38:34 2009     length 3 : 17604
Thu Mar 05 07:38:34 2009     length 4 : 14295
Thu Mar 05 07:38:34 2009     length 5 : 10532
Thu Mar 05 07:38:34 2009     length 6 : 7408
Thu Mar 05 07:38:34 2009     length 7 : 4675
Thu Mar 05 07:38:34 2009     length 9+: 6284
Thu Mar 05 07:38:34 2009  largest cycle: 19 relations
Thu Mar 05 07:38:34 2009  matrix is 105000 x 105133 (28.3 MB) with weight 7004619 (66.63/col)
Thu Mar 05 07:38:34 2009  sparse part has weight 7004619 (66.63/col)
Thu Mar 05 07:38:36 2009  filtering completed in 3 passes
Thu Mar 05 07:38:36 2009  matrix is 100178 x 100242 (27.2 MB) with weight 6734418 (67.18/col)
Thu Mar 05 07:38:36 2009  sparse part has weight 6734418 (67.18/col)
Thu Mar 05 07:38:36 2009  saving the first 48 matrix rows for later
Thu Mar 05 07:38:36 2009  matrix is 100130 x 100242 (16.4 MB) with weight 5307533 (52.95/col)
Thu Mar 05 07:38:36 2009  sparse part has weight 3704219 (36.95/col)
Thu Mar 05 07:38:36 2009  matrix includes 64 packed rows
Thu Mar 05 07:38:36 2009  using block size 40096 for processor cache size 1024 kB
Thu Mar 05 07:38:37 2009  commencing Lanczos iteration
Thu Mar 05 07:38:37 2009  memory use: 16.2 MB
Thu Mar 05 07:39:48 2009  lanczos halted after 1584 iterations (dim = 100129)
Thu Mar 05 07:39:48 2009  recovered 16 nontrivial dependencies
Thu Mar 05 07:39:50 2009  prp42 factor: 448350774135273865432868518969449532379539
Thu Mar 05 07:39:50 2009  prp59 factor: 42307547057122291786168886739490857260394637940501717287063
Thu Mar 05 07:39:50 2009  elapsed time 10:41:44

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)

44×10158+19

c158

name 名前Ignacio Santos
date 日付March 6, 2009 07:29:50 UTC 2009 年 3 月 6 日 (金) 16 時 29 分 50 秒 (日本時間)
composite number 合成数
54320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654321<158>
prime factors 素因数
9848360416398149225067186080579760654382657351109622344230129<61>
5515739205063319279332955934402176085731630867337489498620965400737434071245588770985154056282049<97>
factorization results 素因数分解の結果
Number: 48889_158
N=54320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654321
  ( 158 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=9848360416398149225067186080579760654382657351109622344230129 (pp61)
 r2=5515739205063319279332955934402176085731630867337489498620965400737434071245588770985154056282049 (pp97)
Version: Msieve-1.39
Total time: 18.21 hours.
Scaled time: 31.66 units (timescale=1.739).
Factorization parameters were as follows:
n: 54320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654321
m: 100000000000000000000000000000000
deg: 5
c5: 11
c0: 25
skew: 1.18
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 2700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 526161 x 526409
Total sieving time: 18.21 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,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 18.21 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)

44×10159+19

c160

name 名前Serge Batalov
date 日付March 4, 2009 09:17:00 UTC 2009 年 3 月 4 日 (水) 18 時 17 分 0 秒 (日本時間)
composite number 合成数
4888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<160>
prime factors 素因数
137153502420783237145181837<27>
composite cofactor 合成数の残り
35645381288841680184701319432383484371971244729826037624397820402415032840173903602698503344578660426775445228295677509218587715791197<134>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1407227653
Step 1 took 4596ms
Step 2 took 3469ms
********** Factor found in step 2: 137153502420783237145181837
Found probable prime factor of 27 digits: 137153502420783237145181837
Composite cofactor 35645381288841680184701319432383484371971244729826037624397820402415032840173903602698503344578660426775445228295677509218587715791197 has 134 digits
software ソフトウェア
GMP-ECM 6.2.2

c134

name 名前Jo Yeong Uk
date 日付March 5, 2009 14:51:06 UTC 2009 年 3 月 5 日 (木) 23 時 51 分 6 秒 (日本時間)
composite number 合成数
35645381288841680184701319432383484371971244729826037624397820402415032840173903602698503344578660426775445228295677509218587715791197<134>
prime factors 素因数
10034706405889569576221889023898823<35>
3552209685768254673703247578789347277682520409617762582884450556424003928454425456401610252003607739<100>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 35645381288841680184701319432383484371971244729826037624397820402415032840173903602698503344578660426775445228295677509218587715791197 (134 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3634558091
Step 1 took 3938ms
Step 2 took 908ms
********** Factor found in step 2: 10034706405889569576221889023898823
Found probable prime factor of 35 digits: 10034706405889569576221889023898823
Probable prime cofactor 3552209685768254673703247578789347277682520409617762582884450556424003928454425456401610252003607739 has 100 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)

44×10161+19

c134

name 名前Jo Yeong Uk
date 日付March 5, 2009 23:24:15 UTC 2009 年 3 月 6 日 (金) 8 時 24 分 15 秒 (日本時間)
composite number 合成数
16319028784686495073441410728477763729850335981284337339121317606455778849483709735073921300370763471261381354479505089192348146685251<134>
prime factors 素因数
10721680065653804531622153413577899<35>
100644272567173590767194450322889930527<39>
15123154865058221644757828838829835138556742249437823869848087<62>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 16319028784686495073441410728477763729850335981284337339121317606455778849483709735073921300370763471261381354479505089192348146685251 (134 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3824567271
Step 1 took 3925ms
Step 2 took 2391ms
********** Factor found in step 2: 10721680065653804531622153413577899
Found probable prime factor of 35 digits: 10721680065653804531622153413577899
Composite cofactor 1522058920314497003594731912903917548980500574915904153188245724469760275415729343658461101473851849 has 100 digits

Number: 48889_161
N=1522058920314497003594731912903917548980500574915904153188245724469760275415729343658461101473851849
  ( 100 digits)
Divisors found:
 r1=100644272567173590767194450322889930527
 r2=15123154865058221644757828838829835138556742249437823869848087
Version: 
Total time: 2.53 hours.
Scaled time: 6.05 units (timescale=2.387).
Factorization parameters were as follows:
name: 48889_161
n: 1522058920314497003594731912903917548980500574915904153188245724469760275415729343658461101473851849
skew: 4608.20
# norm 8.74e+13
c5: 120960
c4: -2251381788
c3: -7275030022098
c2: 39890601536605384
c1: 12293703365155763303
c0: -119863409440619186752761
# alpha -6.24
Y1: 9469641071
Y0: -6606329861627734912
# Murphy_E 3.63e-09
# M 147994836345165664546504426837728667798585326610074997195026692594517836550201728327005161694661867
type: gnfs
rlim: 1200000
alim: 1200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [600000, 1050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4272446
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 174732 x 174980
Polynomial selection time: 0.17 hours.
Total sieving time: 1.92 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,26,26,49,49,2.5,2.5,50000
total time: 2.53 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)
software ソフトウェア
GMP-ECM 6.2.1 / GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)

44×10163+19

c136

name 名前Ignacio Santos
date 日付March 10, 2009 12:44:17 UTC 2009 年 3 月 10 日 (火) 21 時 44 分 17 秒 (日本時間)
composite number 合成数
1378079953595045867594053404080634834157078864784978858028996260948676240385650162839972747333355597162475697307787418612773224484520861<136>
prime factors 素因数
42566000178928534066137272811737382493561<41>
32375133858060673452433631534485078300706599193409229345003393728689063018119668175725228319301<95>
factorization results 素因数分解の結果
Number: 48889_163
N=1378079953595045867594053404080634834157078864784978858028996260948676240385650162839972747333355597162475697307787418612773224484520861
  ( 136 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=42566000178928534066137272811737382493561 (pp41)
 r2=32375133858060673452433631534485078300706599193409229345003393728689063018119668175725228319301 (pp95)
Version: Msieve-1.39
Total time: 28.88 hours.
Scaled time: 74.24 units (timescale=2.571).
Factorization parameters were as follows:
n: 1378079953595045867594053404080634834157078864784978858028996260948676240385650162839972747333355597162475697307787418612773224484520861
m: 1000000000000000000000000000000000
deg: 5
c5: 11
c0: 25
skew: 1.18
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 3450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 659068 x 659316
Total sieving time: 28.88 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,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 28.88 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)

44×10166+19

c156

name 名前Serge Batalov
date 日付March 7, 2009 20:19:18 UTC 2009 年 3 月 8 日 (日) 5 時 19 分 18 秒 (日本時間)
composite number 合成数
101253843304115930376530093063534683573706849408114924995162372570713821635391260017879929438836832145342326795629939482980889279584171294606970491473230757<156>
prime factors 素因数
2937281513117464590091985435058991865462100989285797601<55>
34471957438172422129150819718021939069550799090932442883442048563826723794482089824148538350124767557<101>
factorization results 素因数分解の結果
SNFS difficulty: 168 digits.
Divisors found:
 r1=2937281513117464590091985435058991865462100989285797601 (pp55)
 r2=34471957438172422129150819718021939069550799090932442883442048563826723794482089824148538350124767557 (pp101)
Version: Msieve-1.39
Total time: 30.00 hours.
Scaled time: x units (timescale=3.543).
Factorization parameters were as follows:
n: 101253843304115930376530093063534683573706849408114924995162372570713821635391260017879929438836832145342326795629939482980889279584171294606970491473230757
m: 2000000000000000000000000000000000
deg: 5
c5: 55
c0: 4
skew: 0.59
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2250000, 3850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 707238 x 707486
Total sieving time: 28.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.50 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000
total time: 30.00 hours.
 --------- CPU info (if available) ----------
[    0.295427] CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 3.20GHz stepping 0b  * 4
execution environment 実行環境
Q6600@3200MHz/ubuntu-64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)

44×10174+19

c124

name 名前Ignacio Santos
date 日付May 12, 2010 10:56:12 UTC 2010 年 5 月 12 日 (水) 19 時 56 分 12 秒 (日本時間)
composite number 合成数
4216800645777799552862579269110828739474469708139232050482344519012909186200680389138254057304738056459316060368961193130073<124>
prime factors 素因数
72032565674357349073387246558459<32>
58540197843861133095076729507415341454129841674009847434385448071476800097661992676157167547<92>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=122735318
Step 1 took 19641ms
********** Factor found in step 1: 72032565674357349073387246558459
Found probable prime factor of 32 digits: 72032565674357349073387246558459
Probable prime cofactor 58540197843861133095076729507415341454129841674009847434385448071476800097661992676157167547 has 92 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)

44×10175+19

c175

name 名前Ignacio Santos
date 日付March 7, 2009 10:07:04 UTC 2009 年 3 月 7 日 (土) 19 時 7 分 4 秒 (日本時間)
composite number 合成数
6984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984127<175>
prime factors 素因数
35442986267229399162633261670157472131<38>
371307805068356206321839822265856301084971076882538433<54>
530698355873105582302138603830762439466162476705852733800413550935202519189328196949<84>
factorization results 素因数分解の結果
Number: 48889_175
N=6984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984127
  ( 175 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=35442986267229399162633261670157472131 (pp38)
 r2=371307805068356206321839822265856301084971076882538433 (pp54)
 r3=530698355873105582302138603830762439466162476705852733800413550935202519189328196949 (pp84)
Version: Msieve-1.39
Total time: 59.27 hours.
Scaled time: 103.06 units (timescale=1.739).
Factorization parameters were as follows:
n: 6984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984127
m: 200000000000000000000000000000000000
deg: 5
c5: 11
c0: 8
skew: 0.94
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor 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, 6100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1243658 x 1243905
Total sieving time: 59.27 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: 59.27 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)

44×10177+19

c164

name 名前Robert Backstrom
date 日付January 11, 2012 23:39:38 UTC 2012 年 1 月 12 日 (木) 8 時 39 分 38 秒 (日本時間)
composite number 合成数
18095274181820732003074320704500004723719536283965602765050302987116309744147426119562979943477080307628270613967046031231882728332447181189153624369844881352441137<164>
prime factors 素因数
428648007676817815173461449106067242066232691<45>
42214763297030862295162992518356229683230509967337935836578341290473758954627102237280509199371455047492789338831055307<119>
factorization results 素因数分解の結果
Number: n
N=18095274181820732003074320704500004723719536283965602765050302987116309744147426119562979943477080307628270613967046031231882728332447181189153624369844881352441137
  ( 164 digits)
SNFS difficulty: 178 digits.
Divisors found:

Thu Jan 12 06:07:19 2012  prp45 factor: 428648007676817815173461449106067242066232691
Thu Jan 12 06:07:19 2012  prp119 factor: 42214763297030862295162992518356229683230509967337935836578341290473758954627102237280509199371455047492789338831055307
Thu Jan 12 06:07:19 2012  elapsed time 02:23:46 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.647).
Factorization parameters were as follows:
name: KA_48889_177
n: 18095274181820732003074320704500004723719536283965602765050302987116309744147426119562979943477080307628270613967046031231882728332447181189153624369844881352441137
m: 100000000000000000000000000000000000
deg: 5
c5: 4400
c0: 1
skew: 0.19
type: snfs
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, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7381692 hash collisions in 76643816 relations
Msieve: matrix is 1114812 x 1115039 (306.1 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
351e6418118Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 15, 2011 21:54:56 UTC 2011 年 5 月 16 日 (月) 6 時 54 分 56 秒 (日本時間)
403e6410 / 2126110Ignacio SantosMay 15, 2011 21:54:56 UTC 2011 年 5 月 16 日 (月) 6 時 54 分 56 秒 (日本時間)
300Dmitry DomanovMay 16, 2011 05:54:51 UTC 2011 年 5 月 16 日 (月) 14 時 54 分 51 秒 (日本時間)
4511e632 / 4371Ignacio SantosMay 15, 2011 21:54:56 UTC 2011 年 5 月 16 日 (月) 6 時 54 分 56 秒 (日本時間)

44×10178+19

c152

name 名前Jo Yeong Uk
date 日付January 22, 2013 12:01:48 UTC 2013 年 1 月 22 日 (火) 21 時 1 分 48 秒 (日本時間)
composite number 合成数
11238625953582987545216970072914115810534334346226382573943048801174490607270855173566870708298152174300895359816553809316041998161354211375030625091677<152>
prime factors 素因数
70776483126976724403379668248057687091665110934593329382185625271924633<71>
158790398407057085455648095008511209297405566232744372508083954225334532116724069<81>
factorization results 素因数分解の結果
Number: 48889_178
N=11238625953582987545216970072914115810534334346226382573943048801174490607270855173566870708298152174300895359816553809316041998161354211375030625091677
  ( 152 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=70776483126976724403379668248057687091665110934593329382185625271924633
 r2=158790398407057085455648095008511209297405566232744372508083954225334532116724069
Version: 
Total time: 47.62 hours.
Scaled time: 174.52 units (timescale=3.665).
Factorization parameters were as follows:
n: 11238625953582987545216970072914115810534334346226382573943048801174490607270855173566870708298152174300895359816553809316041998161354211375030625091677
m: 1000000000000000000000000000000000000
deg: 5
c5: 11
c0: 25
skew: 1.18
# Murphy_E = 1.338e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2300000, 4100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17161370
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1144419 x 1144667
Total sieving time: 44.52 hours.
Total relation processing time: 1.07 hours.
Matrix solve time: 1.94 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,4600000,4600000,28,28,53,53,2.5,2.5,100000
total time: 47.62 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 36991716k/38797312k available (5072k kernel code, 1057684k absent, 747912k reserved, 7246k data, 1252k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6666.82 BogoMIPS (lpj=3333414)
Total of 12 processors activated (80001.93 BogoMIPS).
x86info v1.25.  Dave Jones 2001-2009
Feedback to <davej@redhat.com>.

Found 12 CPUs
--------------------------------------------------------------------------
CPU #1
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)      Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x0 Package: 0  Core: 0   SMT ID 0
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #2
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x2 Package: 0  Core: 0   SMT ID 2
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #3
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x4 Package: 0  Core: 0   SMT ID 4
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #4
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x10        Package: 0  Core: 0   SMT ID 16
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #5
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x12        Package: 0  Core: 0   SMT ID 18
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #6
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x14        Package: 0  Core: 0   SMT ID 20
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #7
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x1 Package: 0  Core: 0   SMT ID 1
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #8
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x3 Package: 0  Core: 0   SMT ID 3
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #9
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x5 Package: 0  Core: 0   SMT ID 5
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #10
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x11        Package: 0  Core: 0   SMT ID 17
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #11
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x13        Package: 0  Core: 0   SMT ID 19
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #12
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x15        Package: 0  Core: 0   SMT ID 21
3.35GHz processor (estimate).

--------------------------------------------------------------------------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7 980

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 15, 2011 22:48:51 UTC 2011 年 5 月 16 日 (月) 7 時 48 分 51 秒 (日本時間)
403e62126110Ignacio SantosMay 15, 2011 22:48:51 UTC 2011 年 5 月 16 日 (月) 7 時 48 分 51 秒 (日本時間)
300Dmitry DomanovMay 16, 2011 05:55:02 UTC 2011 年 5 月 16 日 (月) 14 時 55 分 2 秒 (日本時間)
1716Wataru SakaiMarch 21, 2012 12:45:09 UTC 2012 年 3 月 21 日 (水) 21 時 45 分 9 秒 (日本時間)
4511e632 / 3991Ignacio SantosMay 15, 2011 22:48:51 UTC 2011 年 5 月 16 日 (月) 7 時 48 分 51 秒 (日本時間)

44×10180+19

c181

name 名前Sinkiti Sibata
date 日付March 12, 2009 11:46:39 UTC 2009 年 3 月 12 日 (木) 20 時 46 分 39 秒 (日本時間)
composite number 合成数
4888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<181>
prime factors 素因数
29998628377250006041227482776218252221391624699072260154192585502404897950350750219<83>
162970414093881199747897196519081791013520831322884381372253453463024642558226884272512371979865931<99>
factorization results 素因数分解の結果
Number: 48889_180
N=4888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
  ( 181 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=29998628377250006041227482776218252221391624699072260154192585502404897950350750219
 r2=162970414093881199747897196519081791013520831322884381372253453463024642558226884272512371979865931
Version: 
Total time: 141.87 hours.
Scaled time: 363.75 units (timescale=2.564).
Factorization parameters were as follows:
name: 48889_180
n: 4888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
m: 2000000000000000000000000000000000000
deg: 5
c5: 11
c0: 8
skew: 0.94
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3850000, 5750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1429172 x 1429420
Total sieving time: 141.87 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7700000,7700000,28,28,53,53,2.5,2.5,100000
total time: 141.87 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)

44×10181+19

c160

name 名前Serge Batalov
date 日付March 20, 2011 06:15:07 UTC 2011 年 3 月 20 日 (日) 15 時 15 分 7 秒 (日本時間)
composite number 合成数
6421344402492418260898618676979036152234163204567813776002809978352528705634450478654586497205302414941720647192926059187149243668499045438770282012157349853183<160>
prime factors 素因数
164041134579480546056706788412059<33>
39144720736987919828642278850569697687992470754246010470394101081824513926155345144247583353753198620712921112021994655723773037<128>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2894588418
Step 1 took 7700ms
Step 2 took 3433ms
********** Factor found in step 2: 164041134579480546056706788412059
Found probable prime factor of 33 digits: 164041134579480546056706788412059
Probable prime cofactor 39144720736987919828642278850569697687992470754246010470394101081824513926155345144247583353753198620712921112021994655723773037 has 128 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)

44×10183+19

c175

name 名前Dmitry Domanov
date 日付May 14, 2011 12:51:10 UTC 2011 年 5 月 14 日 (土) 21 時 51 分 10 秒 (日本時間)
composite number 合成数
1546802603408654677639512358921847605780389784165984362107127303112338367920549844337258104165595732171573433375457834002677163549526524269750712689642277932716231112296310639<175>
prime factors 素因数
308905720293961964266130921249<30>
composite cofactor 合成数の残り
5007361475652444579097362931664380614232178750501679602650288800631681903930113598241838298928470969183796009242174776066463881611706366580948111<145>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3084531616
Step 1 took 71889ms
Step 2 took 26233ms
********** Factor found in step 2: 308905720293961964266130921249
Found probable prime factor of 30 digits: 308905720293961964266130921249
Composite cofactor 5007361475652444579097362931664380614232178750501679602650288800631681903930113598241838298928470969183796009242174776066463881611706366580948111 has 145 digits

c145

name 名前Jo Yeong Uk
date 日付January 25, 2013 10:56:30 UTC 2013 年 1 月 25 日 (金) 19 時 56 分 30 秒 (日本時間)
composite number 合成数
5007361475652444579097362931664380614232178750501679602650288800631681903930113598241838298928470969183796009242174776066463881611706366580948111<145>
prime factors 素因数
754339630608455530017754119704641808734783273840718777168866935137867071<72>
6638072921627453672654092167291374127770289665549980733440612295647704241<73>
factorization results 素因数分解の結果
Number: 48889_183
N=5007361475652444579097362931664380614232178750501679602650288800631681903930113598241838298928470969183796009242174776066463881611706366580948111
  ( 145 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=754339630608455530017754119704641808734783273840718777168866935137867071
 r2=6638072921627453672654092167291374127770289665549980733440612295647704241
Version: 
Total time: 68.60 hours.
Scaled time: 250.34 units (timescale=3.649).
Factorization parameters were as follows:
n: 5007361475652444579097362931664380614232178750501679602650288800631681903930113598241838298928470969183796009242174776066463881611706366580948111
m: 10000000000000000000000000000000000000
deg: 5
c5: 11
c0: 25
skew: 1.18
# Murphy_E = 8.4e-11
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3000000, 5500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19456860
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1398228 x 1398475
Total sieving time: 63.64 hours.
Total relation processing time: 1.69 hours.
Matrix solve time: 3.17 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,54,54,2.5,2.5,100000
total time: 68.60 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 36991716k/38797312k available (5072k kernel code, 1057684k absent, 747912k reserved, 7246k data, 1252k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6666.82 BogoMIPS (lpj=3333414)
Total of 12 processors activated (80001.93 BogoMIPS).
x86info v1.25.  Dave Jones 2001-2009
Feedback to <davej@redhat.com>.

Found 12 CPUs
--------------------------------------------------------------------------
CPU #1
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)    Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x0 Package: 0  Core: 0   SMT ID 0
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #2
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x2 Package: 0  Core: 0   SMT ID 2
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #3
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x4 Package: 0  Core: 0   SMT ID 4
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #4
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x10        Package: 0  Core: 0   SMT ID 16
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #5
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x12        Package: 0  Core: 0   SMT ID 18
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #6
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x14        Package: 0  Core: 0   SMT ID 20
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #7
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x1 Package: 0  Core: 0   SMT ID 1
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #8
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x3 Package: 0  Core: 0   SMT ID 3
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #9
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x5 Package: 0  Core: 0   SMT ID 5
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #10
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x11        Package: 0  Core: 0   SMT ID 17
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #11
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x13        Package: 0  Core: 0   SMT ID 19
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #12
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x15        Package: 0  Core: 0   SMT ID 21
3.35GHz processor (estimate).

--------------------------------------------------------------------------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7 980

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)
403e62318300Dmitry DomanovMay 14, 2011 12:50:52 UTC 2011 年 5 月 14 日 (土) 21 時 50 分 52 秒 (日本時間)
2018Jo Yeong UkJanuary 20, 2013 14:19:43 UTC 2013 年 1 月 20 日 (日) 23 時 19 分 43 秒 (日本時間)

44×10184+19

c93

name 名前Robert Backstrom
date 日付March 4, 2009 19:12:31 UTC 2009 年 3 月 5 日 (木) 4 時 12 分 31 秒 (日本時間)
composite number 合成数
208946886888326328200126038007985057407936209148615529834458396285284634094860013715548319373<93>
prime factors 素因数
23803194133008155288609041813708681643<38>
8778102876478133886827822003867357150158400139814099111<55>
factorization results 素因数分解の結果
Thu Mar 05 02:37:46 2009  
Thu Mar 05 02:37:46 2009  
Thu Mar 05 02:37:46 2009  Msieve v. 1.39
Thu Mar 05 02:37:46 2009  random seeds: 6d768a74 eabf09d4
Thu Mar 05 02:37:46 2009  factoring 208946886888326328200126038007985057407936209148615529834458396285284634094860013715548319373 (93 digits)
Thu Mar 05 02:37:46 2009  searching for 15-digit factors
Thu Mar 05 02:37:47 2009  commencing quadratic sieve (93-digit input)
Thu Mar 05 02:37:48 2009  using multiplier of 5
Thu Mar 05 02:37:48 2009  using 64kb Opteron sieve core
Thu Mar 05 02:37:48 2009  sieve interval: 18 blocks of size 65536
Thu Mar 05 02:37:48 2009  processing polynomials in batches of 6
Thu Mar 05 02:37:48 2009  using a sieve bound of 1884133 (70588 primes)
Thu Mar 05 02:37:48 2009  using large prime bound of 220443561 (27 bits)
Thu Mar 05 02:37:48 2009  using double large prime bound of 1042162145233209 (42-50 bits)
Thu Mar 05 02:37:48 2009  using trial factoring cutoff of 50 bits
Thu Mar 05 02:37:48 2009  polynomial 'A' values have 12 factors
Thu Mar 05 02:37:48 2009  restarting with 83 full and 5203 partial relations
Thu Mar 05 05:53:01 2009  70935 relations (17619 full + 53316 combined from 931366 partial), need 70684
Thu Mar 05 05:53:03 2009  begin with 948985 relations
Thu Mar 05 05:53:03 2009  reduce to 181597 relations in 10 passes
Thu Mar 05 05:53:03 2009  attempting to read 181597 relations
Thu Mar 05 05:53:07 2009  recovered 181597 relations
Thu Mar 05 05:53:07 2009  recovered 164521 polynomials
Thu Mar 05 05:53:07 2009  attempting to build 70935 cycles
Thu Mar 05 05:53:07 2009  found 70935 cycles in 7 passes
Thu Mar 05 05:53:08 2009  distribution of cycle lengths:
Thu Mar 05 05:53:08 2009     length 1 : 17619
Thu Mar 05 05:53:08 2009     length 2 : 12717
Thu Mar 05 05:53:08 2009     length 3 : 12181
Thu Mar 05 05:53:08 2009     length 4 : 9544
Thu Mar 05 05:53:08 2009     length 5 : 7136
Thu Mar 05 05:53:08 2009     length 6 : 4883
Thu Mar 05 05:53:08 2009     length 7 : 2947
Thu Mar 05 05:53:08 2009     length 9+: 3908
Thu Mar 05 05:53:08 2009  largest cycle: 20 relations
Thu Mar 05 05:53:08 2009  matrix is 70588 x 70935 (17.3 MB) with weight 4242075 (59.80/col)
Thu Mar 05 05:53:08 2009  sparse part has weight 4242075 (59.80/col)
Thu Mar 05 05:53:10 2009  filtering completed in 3 passes
Thu Mar 05 05:53:10 2009  matrix is 66977 x 67041 (16.4 MB) with weight 4020997 (59.98/col)
Thu Mar 05 05:53:10 2009  sparse part has weight 4020997 (59.98/col)
Thu Mar 05 05:53:10 2009  saving the first 48 matrix rows for later
Thu Mar 05 05:53:11 2009  matrix is 66929 x 67041 (9.0 MB) with weight 3004074 (44.81/col)
Thu Mar 05 05:53:11 2009  sparse part has weight 1961779 (29.26/col)
Thu Mar 05 05:53:11 2009  matrix includes 64 packed rows
Thu Mar 05 05:53:11 2009  using block size 21845 for processor cache size 512 kB
Thu Mar 05 05:53:11 2009  commencing Lanczos iteration
Thu Mar 05 05:53:11 2009  memory use: 9.6 MB
Thu Mar 05 05:53:52 2009  lanczos halted after 1060 iterations (dim = 66927)
Thu Mar 05 05:53:52 2009  recovered 17 nontrivial dependencies
Thu Mar 05 05:53:53 2009  prp38 factor: 23803194133008155288609041813708681643
Thu Mar 05 05:53:53 2009  prp55 factor: 8778102876478133886827822003867357150158400139814099111
Thu Mar 05 05:53:53 2009  elapsed time 03:16:07

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)

44×10185+19

c184

name 名前Sinkiti Sibata
date 日付April 17, 2009 07:21:38 UTC 2009 年 4 月 17 日 (金) 16 時 21 分 38 秒 (日本時間)
composite number 合成数
2858999350227420402858999350227420402858999350227420402858999350227420402858999350227420402858999350227420402858999350227420402858999350227420402858999350227420402858999350227420402859<184>
prime factors 素因数
301279492672528356310887081620281<33>
2007681696397209428158663231335805768631686309<46>
4726608434867671415692354975353016939132883160285222480786726238803221676691996179230672373731698457768071<106>
factorization results 素因数分解の結果
Number: 48889_185
N=2858999350227420402858999350227420402858999350227420402858999350227420402858999350227420402858999350227420402858999350227420402858999350227420402858999350227420402858999350227420402859
  ( 184 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=301279492672528356310887081620281 (pp33)
 r2=2007681696397209428158663231335805768631686309 (pp46)
 r3=4726608434867671415692354975353016939132883160285222480786726238803221676691996179230672373731698457768071 (pp106)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 342.67 hours.
Scaled time: 871.76 units (timescale=2.544).
Factorization parameters were as follows:
name: 48889_185
n: 2858999350227420402858999350227420402858999350227420402858999350227420402858999350227420402858999350227420402858999350227420402858999350227420402858999350227420402858999350227420402859
m: 20000000000000000000000000000000000000
deg: 5
c5: 11
c0: 8
skew: 0.94
type: snfs
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [4000000, 8100001)
Primes: RFBsize:539777, AFBsize:539726, largePrimes:19572351 encountered
Relations: rels:20827886, finalFF:1635103
Max relations in full relation-set: 28
Initial matrix: 1079569 x 1635103 with sparse part having weight 203875562.
Pruned matrix : 801126 x 806587 with weight 198989218.
Total sieving time: 323.10 hours.
Total relation processing time: 0.57 hours.
Matrix solve time: 18.63 hours.
Time per square root: 0.37 hours.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,54,54,2.5,2.5,100000
total time: 342.67 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)

44×10187+19

c171

name 名前Serge Batalov
date 日付March 4, 2009 09:22:45 UTC 2009 年 3 月 4 日 (水) 18 時 22 分 45 秒 (日本時間)
composite number 合成数
533182552604573920575299220419262203603135218530374843012316633993427034992746248747794107820647095385279660617003988099665845683205934702226517640213126984549411939022019<171>
prime factors 素因数
526456192270207306192497814231<30>
1012776676261249602907425802562598136206196450536507964244738758587615890319638376087347271113370719438937571302723714882211006597740928373749<142>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2745248539
Step 1 took 4424ms
Step 2 took 3652ms
********** Factor found in step 2: 526456192270207306192497814231
Found probable prime factor of 30 digits: 526456192270207306192497814231
Probable prime cofactor has 142 digits
software ソフトウェア
GMP-ECM 6.2.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)

44×10188+19

c133

name 名前Wataru Sakai
date 日付November 24, 2009 08:08:20 UTC 2009 年 11 月 24 日 (火) 17 時 8 分 20 秒 (日本時間)
composite number 合成数
7431683565421862478545204931240783803827292878059027353847766494993064234811829023542099781603025976640965370047039650093396382903051<133>
prime factors 素因数
3845433339200043771803433770523203501433697<43>
39455414314368368652823846825558613685063769<44>
48981864669302978213702667920212673671860980707<47>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3869374597
Step 1 took 38192ms
Step 2 took 14250ms
********** Factor found in step 2: 39455414314368368652823846825558613685063769
Found probable prime factor of 44 digits: 39455414314368368652823846825558613685063769
Composite cofactor 188356495415522399273375625775546911031815645086058261222593402241002941614660946956683779 has 90 digits
-------------------------------------
Tue Nov 24 14:30:17 2009  Msieve v. 1.43
Tue Nov 24 14:30:17 2009  random seeds: 05499020 7dd90afa
Tue Nov 24 14:30:17 2009  factoring 188356495415522399273375625775546911031815645086058261222593402241002941614660946956683779 (90 digits)
Tue Nov 24 14:30:18 2009  searching for 15-digit factors
Tue Nov 24 14:30:19 2009  commencing quadratic sieve (90-digit input)
Tue Nov 24 14:30:19 2009  using multiplier of 1
Tue Nov 24 14:30:19 2009  using 64kb Pentium 3 sieve core
Tue Nov 24 14:30:19 2009  sieve interval: 18 blocks of size 65536
Tue Nov 24 14:30:19 2009  processing polynomials in batches of 6
Tue Nov 24 14:30:19 2009  using a sieve bound of 1571777 (59667 primes)
Tue Nov 24 14:30:19 2009  using large prime bound of 125742160 (26 bits)
Tue Nov 24 14:30:19 2009  using double large prime bound of 379372269960400 (42-49 bits)
Tue Nov 24 14:30:19 2009  using trial factoring cutoff of 49 bits
Tue Nov 24 14:30:19 2009  polynomial 'A' values have 11 factors
Tue Nov 24 16:15:50 2009  59769 relations (16430 full + 43339 combined from 626554 partial), need 59763
Tue Nov 24 16:15:51 2009  begin with 642984 relations
Tue Nov 24 16:15:51 2009  reduce to 143182 relations in 9 passes
Tue Nov 24 16:15:51 2009  attempting to read 143182 relations
Tue Nov 24 16:15:53 2009  recovered 143182 relations
Tue Nov 24 16:15:53 2009  recovered 115145 polynomials
Tue Nov 24 16:15:53 2009  attempting to build 59769 cycles
Tue Nov 24 16:15:53 2009  found 59769 cycles in 6 passes
Tue Nov 24 16:15:53 2009  distribution of cycle lengths:
Tue Nov 24 16:15:53 2009     length 1 : 16430
Tue Nov 24 16:15:53 2009     length 2 : 11866
Tue Nov 24 16:15:53 2009     length 3 : 10611
Tue Nov 24 16:15:53 2009     length 4 : 7899
Tue Nov 24 16:15:53 2009     length 5 : 5480
Tue Nov 24 16:15:53 2009     length 6 : 3258
Tue Nov 24 16:15:53 2009     length 7 : 1952
Tue Nov 24 16:15:53 2009     length 9+: 2273
Tue Nov 24 16:15:53 2009  largest cycle: 18 relations
Tue Nov 24 16:15:54 2009  matrix is 59667 x 59769 (14.5 MB) with weight 3574237 (59.80/col)
Tue Nov 24 16:15:54 2009  sparse part has weight 3574237 (59.80/col)
Tue Nov 24 16:15:55 2009  filtering completed in 4 passes
Tue Nov 24 16:15:55 2009  matrix is 55137 x 55201 (13.6 MB) with weight 3340434 (60.51/col)
Tue Nov 24 16:15:55 2009  sparse part has weight 3340434 (60.51/col)
Tue Nov 24 16:15:55 2009  saving the first 48 matrix rows for later
Tue Nov 24 16:15:55 2009  matrix is 55089 x 55201 (9.8 MB) with weight 2725857 (49.38/col)
Tue Nov 24 16:15:55 2009  sparse part has weight 2231393 (40.42/col)
Tue Nov 24 16:15:55 2009  matrix includes 64 packed rows
Tue Nov 24 16:15:55 2009  using block size 22080 for processor cache size 1024 kB
Tue Nov 24 16:15:56 2009  commencing Lanczos iteration
Tue Nov 24 16:15:56 2009  memory use: 9.3 MB
Tue Nov 24 16:16:23 2009  lanczos halted after 872 iterations (dim = 55085)
Tue Nov 24 16:16:23 2009  recovered 15 nontrivial dependencies
Tue Nov 24 16:16:23 2009  prp43 factor: 3845433339200043771803433770523203501433697
Tue Nov 24 16:16:23 2009  prp47 factor: 48981864669302978213702667920212673671860980707
Tue Nov 24 16:16:23 2009  elapsed time 01:46:06
software ソフトウェア
GMP-ECM 6.2.1, Msieve v. 1.43

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)
403e6500 / 2318Erik BrangerMay 12, 2009 05:52:03 UTC 2009 年 5 月 12 日 (火) 14 時 52 分 3 秒 (日本時間)

44×10190+19

c168

name 名前Jo Yeong Uk
date 日付January 30, 2013 10:40:43 UTC 2013 年 1 月 30 日 (水) 19 時 40 分 43 秒 (日本時間)
composite number 合成数
404125114892562673342313951433331531979192084739861765234062373133798418057320583944065051507810764248404833762049806687978980830869179586304153201914580888439158511693<168>
prime factors 素因数
19836396634007298575521547680570191044239433528080481535672147553<65>
20372909573694198805119369471953512304267997759612991016213658473380884700892394818075003484699091798381<104>
factorization results 素因数分解の結果
Number: 48889_190
N=404125114892562673342313951433331531979192084739861765234062373133798418057320583944065051507810764248404833762049806687978980830869179586304153201914580888439158511693
  ( 168 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=19836396634007298575521547680570191044239433528080481535672147553
 r2=20372909573694198805119369471953512304267997759612991016213658473380884700892394818075003484699091798381
Version: 
Total time: 112.35 hours.
Scaled time: 411.77 units (timescale=3.665).
Factorization parameters were as follows:
n: 404125114892562673342313951433331531979192084739861765234062373133798418057320583944065051507810764248404833762049806687978980830869179586304153201914580888439158511693
m: 100000000000000000000000000000000000000
deg: 5
c5: 44
c0: 1
skew: 0.47
# Murphy_E = 4.847e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 8400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20903373
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1704298 x 1704546
Total sieving time: 103.79 hours.
Total relation processing time: 2.88 hours.
Matrix solve time: 5.31 hours.
Time per square root: 0.37 hours.
Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 112.35 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 36991716k/38797312k available (5072k kernel code, 1057684k absent, 747912k reserved, 7246k data, 1252k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6666.82 BogoMIPS (lpj=3333414)
Total of 12 processors activated (80001.93 BogoMIPS).
x86info v1.25.  Dave Jones 2001-2009
Feedback to <davej@redhat.com>.

Found 12 CPUs
--------------------------------------------------------------------------
CPU #1
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x0 Package: 0  Core: 0   SMT ID 0
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #2
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x2 Package: 0  Core: 0   SMT ID 2
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #3
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x4 Package: 0  Core: 0   SMT ID 4
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #4
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x10        Package: 0  Core: 0   SMT ID 16
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #5
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x12        Package: 0  Core: 0   SMT ID 18
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #6
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x14        Package: 0  Core: 0   SMT ID 20
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #7
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x1 Package: 0  Core: 0   SMT ID 1
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #8
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x3 Package: 0  Core: 0   SMT ID 3
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #9
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x5 Package: 0  Core: 0   SMT ID 5
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #10
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x11        Package: 0  Core: 0   SMT ID 17
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #11
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x13        Package: 0  Core: 0   SMT ID 19
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #12
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x15        Package: 0  Core: 0   SMT ID 21
3.35GHz processor (estimate).

--------------------------------------------------------------------------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7 980

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)
403e62318300Dmitry DomanovMay 16, 2011 05:55:23 UTC 2011 年 5 月 16 日 (月) 14 時 55 分 23 秒 (日本時間)
2018Jo Yeong UkJanuary 21, 2013 01:38:00 UTC 2013 年 1 月 21 日 (月) 10 時 38 分 0 秒 (日本時間)

44×10191+19

c175

name 名前Ignacio Santos
date 日付May 16, 2011 10:42:42 UTC 2011 年 5 月 16 日 (月) 19 時 42 分 42 秒 (日本時間)
composite number 合成数
4046686901848379277482243415473882598678470432044614557951500196408303319912768794572200861604963254640203294434293855789161613955349231007291356233271068311390019739183655799<175>
prime factors 素因数
230916264757561655392455895682592466211<39>
17524477568078561331308775994049649793211090366051766443499368614130660313050620516794738774592800233282154149643882663423222844016170909<137>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2303959690
Step 1 took 112789ms
Step 2 took 50295ms
********** Factor found in step 2: 230916264757561655392455895682592466211
Found probable prime factor of 39 digits: 230916264757561655392455895682592466211
Probable prime cofactor 17524477568078561331308775994049649793211090366051766443499368614130660313050620516794738774592800233282154149643882663423222844016170909 has 137 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 KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 16, 2011 05:55:32 UTC 2011 年 5 月 16 日 (月) 14 時 55 分 32 秒 (日本時間)

44×10193+19

c158

name 名前Dmitry Domanov
date 日付May 13, 2011 18:51:18 UTC 2011 年 5 月 14 日 (土) 3 時 51 分 18 秒 (日本時間)
composite number 合成数
43872830832533802399554230530621167328469974481358978396689399484655639774665968146792599127174273544985964870004026518874230481626121075843761501963227466183<158>
prime factors 素因数
2744316541421891840538417585470646909713<40>
15986796774472053617250189610229682260533334495204505149072925743099500223378604728025234152094568863871861003202447191<119>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=423519619
Step 1 took 59663ms
Step 2 took 22695ms
********** Factor found in step 2: 2744316541421891840538417585470646909713
Found probable prime factor of 40 digits: 2744316541421891840538417585470646909713
Probable prime cofactor 15986796774472053617250189610229682260533334495204505149072925743099500223378604728025234152094568863871861003202447191 has 119 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)

44×10194+19

c144

name 名前Jo Yeong Uk
date 日付January 11, 2013 10:52:28 UTC 2013 年 1 月 11 日 (金) 19 時 52 分 28 秒 (日本時間)
composite number 合成数
249373995654887968809172597099563835663909324066817977990276628105098065241047344236286159403537820847057624609835198768095591951551568956280251<144>
prime factors 素因数
1491310258513128981255103315527002933069<40>
167218051529746495165763425926646222523618594623621080923654866004577123689846906042893529795215706666279<105>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.5 and --enable-asm-redc] [ECM]
Input number is 249373995654887968809172597099563835663909324066817977990276628105098065241047344236286159403537820847057624609835198768095591951551568956280251 (144 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=8159020271
Step 1 took 8991ms
Step 2 took 3776ms
********** Factor found in step 2: 1491310258513128981255103315527002933069
Found probable prime factor of 40 digits: 1491310258513128981255103315527002933069
Probable prime cofactor 167218051529746495165763425926646222523618594623621080923654866004577123689846906042893529795215706666279 has 105 digits
execution environment 実行環境
Core i7 980

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 16, 2011 05:55:50 UTC 2011 年 5 月 16 日 (月) 14 時 55 分 50 秒 (日本時間)

44×10195+19

c194

name 名前Wataru Sakai
date 日付October 8, 2009 14:11:51 UTC 2009 年 10 月 8 日 (木) 23 時 11 分 51 秒 (日本時間)
composite number 合成数
35171862509992006394884092725819344524380495603517186250999200639488409272581934452438049560351718625099920063948840927258193445243804956035171862509992006394884092725819344524380495603517186251<194>
prime factors 素因数
10412466420126431250346726146039796224775804741205443513<56>
3377860834394406548885117292303092018330749711789663082853036841147182942536410699923182290582604658203414033362067157941568625306147377827<139>
factorization results 素因数分解の結果
Number: 48889_195
N=35171862509992006394884092725819344524380495603517186250999200639488409272581934452438049560351718625099920063948840927258193445243804956035171862509992006394884092725819344524380495603517186251
  ( 194 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=10412466420126431250346726146039796224775804741205443513
 r2=3377860834394406548885117292303092018330749711789663082853036841147182942536410699923182290582604658203414033362067157941568625306147377827
Version: 
Total time: 569.46 hours.
Scaled time: 1147.46 units (timescale=2.015).
Factorization parameters were as follows:
n: 35171862509992006394884092725819344524380495603517186250999200639488409272581934452438049560351718625099920063948840927258193445243804956035171862509992006394884092725819344524380495603517186251
m: 2000000000000000000000000000000000000000
deg: 5
c5: 11
c0: 8
skew: 0.94
type: snfs
lss: 1
rlim: 13700000
alim: 13700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5Factor base limits: 13700000/13700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6850000, 12550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1875703 x 1875951
Total sieving time: 569.46 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,197,5,0,0,0,0,0,0,0,0,13700000,13700000,28,28,55,55,2.5,2.5,100000
total time: 569.46 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiSeptember 18, 2009 09:18:54 UTC 2009 年 9 月 18 日 (金) 18 時 18 分 54 秒 (日本時間)

44×10196+19

c125

name 名前ruffenach timothee
date 日付February 26, 2010 17:33:34 UTC 2010 年 2 月 27 日 (土) 2 時 33 分 34 秒 (日本時間)
composite number 合成数
47591192682295255556939533626276864986616791664971258683837897117422151274096194328168951720826806922476074246980788223343307<125>
prime factors 素因数
190237841458766714339293513143848706002857132777723512405431939<63>
250166803393900234218679457860647338254453077730869735148197913<63>
factorization results 素因数分解の結果
Number: 48889_196/48889_196
N=47591192682295255556939533626276864986616791664971258683837897117422151274096194328168951720826806922476074246980788223343307
  ( 125 digits)
Divisors found:
 r1=190237841458766714339293513143848706002857132777723512405431939 (pp63)
 r2=250166803393900234218679457860647338254453077730869735148197913 (pp63)
Version: Msieve v. 1.44
Total time: 78.06 hours.
Scaled time: 162.37 units (timescale=2.080).
Factorization parameters were as follows:
# Murphy_E = 1.616328e-10, selected by Jeff Gilchrist
n: 47591192682295255556939533626276864986616791664971258683837897117422151274096194328168951720826806922476074246980788223343307
Y0: -1199076728101819988849653
Y1: 46607669934463
c0: 11407148688942894436221615050448
c1: 540253315006657005906842214
c2: 2142543692160211328813
c3: -7110190630780646
c4: -10817133040
c5: 19200
skew: 382315.01
type: gnfs
# selected mechanically
rlim: 7000000
alim: 7000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5

Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [3500000, 3500000)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 960390 x 960616
Total sieving time: 76.53 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.10 hours.
Time per square root: 0.35 hours.
Prototype def-par.txt line would be:
gnfs,124,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,7000000,7000000,27,27,52,52,2.5,2.5,100000
total time: 78.06 hours.
 --------- CPU info (if available) ----------
[    0.572407] CPU3: Intel(R) Core(TM)2 Quad CPU    Q8300  @ 2.50GHz stepping 0a
[    0.004000] Calibrating delay using timer specific routine.. 4987.50 BogoMIPS (lpj=9975010)
[    0.576022] Total of 4 processors activated (19908.62 BogoMIPS).
execution environment 実行環境
[    0.572407] CPU3: Intel(R) Core(TM)2 Quad CPU    Q8300  @ 2.50GHz stepping 0a
[    0.004000] Calibrating delay using timer specific routine.. 4987.50 BogoMIPS (lpj=9975010)
[    0.576022] Total of 4 processors activated (19908.62 BogoMIPS).
Linux

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)
403e62318500Erik BrangerMarch 6, 2009 15:04:24 UTC 2009 年 3 月 7 日 (土) 0 時 4 分 24 秒 (日本時間)
1818Wataru SakaiAugust 19, 2009 05:30:02 UTC 2009 年 8 月 19 日 (水) 14 時 30 分 2 秒 (日本時間)

44×10198+19

c161

name 名前Jo Yeong Uk
date 日付January 17, 2013 12:26:14 UTC 2013 年 1 月 17 日 (木) 21 時 26 分 14 秒 (日本時間)
composite number 合成数
42763098509674365930481899590825536510061665657832645257327633536421315825837959439781045373062914088263687782528796806040202642529431859050275706352281056805857<161>
prime factors 素因数
973156565041514860346881091118265590636642083<45>
3364390578396971078721144905443230646461930019<46>
13061108604800007227144257177265147902325654604194343723686024624631641<71>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.5 and --enable-asm-redc] [ECM]
Input number is 42763098509674365930481899590825536510061665657832645257327633536421315825837959439781045373062914088263687782528796806040202642529431859050275706352281056805857 (161 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=7923916755
Step 1 took 10591ms
Step 2 took 4310ms
********** Factor found in step 2: 3364390578396971078721144905443230646461930019
Found probable prime factor of 46 digits: 3364390578396971078721144905443230646461930019
Composite cofactor 12710503585481347644846599306185023530638033163244440246193340295012343186763456717627701305252367710547971033948203 has 116 digits

GMP-ECM 6.3 [configured with GMP 5.0.5 and --enable-asm-redc] [ECM]
Input number is 12710503585481347644846599306185023530638033163244440246193340295012343186763456717627701305252367710547971033948203 (116 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2249737508
Step 1 took 5760ms
********** Factor found in step 1: 973156565041514860346881091118265590636642083
Found probable prime factor of 45 digits: 973156565041514860346881091118265590636642083
Probable prime cofactor 13061108604800007227144257177265147902325654604194343723686024624631641 has 71 digits
execution environment 実行環境
Core i7 980

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 16, 2011 05:56:00 UTC 2011 年 5 月 16 日 (月) 14 時 56 分 0 秒 (日本時間)

44×10199+19

c186

name 名前Robert Backstrom
date 日付March 17, 2012 20:55:24 UTC 2012 年 3 月 18 日 (日) 5 時 55 分 24 秒 (日本時間)
composite number 合成数
434455999758371191888258856371121522125224065035343690107614299189010509589696779007436706869087088393487729237822123917882071924922113806573264405728564930333116771095104885664693594271<186>
prime factors 素因数
880689518744195750717987314599066106107929<42>
1735668206555240624968283461365704806048956837547447476230027<61>
284221065432672087944558202369449208190084965100885325510250880487180661108359450437<84>
factorization results 素因数分解の結果
Number: n
N=434455999758371191888258856371121522125224065035343690107614299189010509589696779007436706869087088393487729237822123917882071924922113806573264405728564930333116771095104885664693594271
  ( 186 digits)
SNFS difficulty: 200 digits.
Divisors found:

Sun Mar 18 06:57:48 2012  prp42 factor: 880689518744195750717987314599066106107929
Sun Mar 18 06:57:48 2012  prp61 factor: 1735668206555240624968283461365704806048956837547447476230027
Sun Mar 18 06:57:48 2012  prp84 factor: 284221065432672087944558202369449208190084965100885325510250880487180661108359450437
Sun Mar 18 06:57:48 2012  elapsed time 06:18:20 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.659).
Factorization parameters were as follows:
name: KA_48889_199
n: 434455999758371191888258856371121522125224065035343690107614299189010509589696779007436706869087088393487729237822123917882071924922113806573264405728564930333116771095104885664693594271
m: 2000000000000000000000000000000000000000
#  c186, diff: 200.64
skew: 0.15
deg: 5
c5: 13750
c0: 1
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
qintsize: 100000
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, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 11203965 hash collisions in 76971076 relations (67363431 unique)
Msieve: matrix is 1857123 x 1857354 (521.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 16, 2011 05:56:08 UTC 2011 年 5 月 16 日 (月) 14 時 56 分 8 秒 (日本時間)

44×10200+19

c188

name 名前matsui
date 日付August 1, 2010 00:11:00 UTC 2010 年 8 月 1 日 (日) 9 時 11 分 0 秒 (日本時間)
composite number 合成数
55545231714048196068222800226707354845480966608230600512601557426994819950656915695356873980333602422654614857060069857510760654662490967338091153894412881014641240076502447678640242644597<188>
prime factors 素因数
199723015192713033194807144611993016537871841541268237470692038724453118072562234975745853<90>
278111321624363219793047911863505731250811758897791752432006757115562302846092065977119939541962649<99>
factorization results 素因数分解の結果
N=55545231714048196068222800226707354845480966608230600512601557426994819950656915695356873980333602422654614857060069857510760654662490967338091153894412881014641240076502447678640242644597
  ( 188 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=199723015192713033194807144611993016537871841541268237470692038724453118072562234975745853 (pp90)
 r2=278111321624363219793047911863505731250811758897791752432006757115562302846092065977119939541962649 (pp99)
Version: Msieve v. 1.46
Total time:
Scaled time: 143.22 units (timescale=1.274).
Factorization parameters were as follows:
n: 55545231714048196068222800226707354845480966608230600512601557426994819950656915695356873980333602422654614857060069857510760654662490967338091153894412881014641240076502447678640242644597
m: 10000000000000000000000000000000000000000
deg: 5
c5: 44
c0: 1
skew: 0.47
type: snfs
lss: 1
rlim: 16100000
alim: 16100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 430000
Factor base limits: 16100000/16100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8050000, 15360001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2824926 x 2825150
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,201.000,5,0,0,0,0,0,0,0,0,16100000,16100000,29,29,56,56,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)

44×10201+19

c157

composite cofactor 合成数の残り
4636145316482456908827526024136178639223467019300909612733872306831510093191165436645880729069627631429399320530797864250850815764809701670351317733890685581<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)
403e62500300Dmitry DomanovMay 16, 2011 05:56:15 UTC 2011 年 5 月 16 日 (月) 14 時 56 分 15 秒 (日本時間)
2200Warut RoonguthaiFebruary 6, 2013 10:34:42 UTC 2013 年 2 月 6 日 (水) 19 時 34 分 42 秒 (日本時間)
4511e6300 / 3922Serge BatalovMay 27, 2014 00:32:43 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 43 秒 (日本時間)

44×10202+19

c184

composite cofactor 合成数の残り
2798902136510074676187047735944191378815216953811944063590884819423613401374314169664573161443137784340284593374659073225208471387358528962024340578337167061317906129574996065156361257<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)
403e62400300Dmitry DomanovMay 16, 2011 05:56:25 UTC 2011 年 5 月 16 日 (月) 14 時 56 分 25 秒 (日本時間)
2100Warut RoonguthaiFebruary 7, 2013 06:38:42 UTC 2013 年 2 月 7 日 (木) 15 時 38 分 42 秒 (日本時間)
4511e6300 / 3944Serge BatalovMay 27, 2014 00:32:43 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 43 秒 (日本時間)

44×10203+19

c180

name 名前Dmitry Domanov
date 日付May 14, 2011 12:51:53 UTC 2011 年 5 月 14 日 (土) 21 時 51 分 53 秒 (日本時間)
composite number 合成数
208711258212293914129150212367874706394880976719166972988150845645095145482138630889981892991680445801490112250460651388945306779892158424321039215359968823837492882192438353770767<180>
prime factors 素因数
11570641192874164069162083114238157<35>
composite cofactor 合成数の残り
18038002798049753940001875613522990927349070901056762474302581384001277772154093053992489525003881415187614509987828909665512016469750096663654731<146>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=497905666
Step 1 took 69289ms
Step 2 took 25943ms
********** Factor found in step 2: 11570641192874164069162083114238157
Found probable prime factor of 35 digits: 11570641192874164069162083114238157
Composite cofactor 18038002798049753940001875613522990927349070901056762474302581384001277772154093053992489525003881415187614509987828909665512016469750096663654731 has 146 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)
403e63900300Dmitry DomanovMay 14, 2011 12:51:45 UTC 2011 年 5 月 14 日 (土) 21 時 51 分 45 秒 (日本時間)
3600Warut RoonguthaiFebruary 6, 2013 17:22:36 UTC 2013 年 2 月 7 日 (木) 2 時 22 分 36 秒 (日本時間)
4511e6300 / 3613Serge BatalovMay 27, 2014 00:32:44 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 44 秒 (日本時間)

44×10204+19

c202

name 名前Robert Backstrom
date 日付October 2, 2009 18:51:39 UTC 2009 年 10 月 3 日 (土) 3 時 51 分 39 秒 (日本時間)
composite number 合成数
1311749098172495006409683093342873326774587842470858301284917866618966699460394120979041826908744000238499836031362728438124198789613332140834153176519691142712339385266672629162567450734877619771636407<202>
prime factors 素因数
12642215777443416767752239365062569151194901640368783823119996813<65>
103759429617785294941240486367388306991041521908442118224429949294529777836170876768851200709291701192031411549441181450806379682224633939<138>
factorization results 素因数分解の結果
Number: n
N=1311749098172495006409683093342873326774587842470858301284917866618966699460394120979041826908744000238499836031362728438124198789613332140834153176519691142712339385266672629162567450734877619771636407
  ( 202 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sat Oct  3 03:07:12 2009  prp65 factor: 12642215777443416767752239365062569151194901640368783823119996813
Sat Oct  3 03:07:12 2009  prp138 factor: 103759429617785294941240486367388306991041521908442118224429949294529777836170876768851200709291701192031411549441181450806379682224633939
Sat Oct  3 03:07:12 2009  elapsed time 14:00:17 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20050930-k8
Total time: 51.07 hours.
Scaled time: 102.71 units (timescale=2.011).
Factorization parameters were as follows:
name: KA_4_8_203_9
n: 1311749098172495006409683093342873326774587842470858301284917866618966699460394120979041826908744000238499836031362728438124198789613332140834153176519691142712339385266672629162567450734877619771636407
m: 100000000000000000000000000000000000000000
deg: 5
c5: 22
c0: 5
skew: 0.74
type: snfs
lss: 1
rlim: 19200000
alim: 19200000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 19200000/19200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 21099990)
Primes: RFBsize:1222953, AFBsize:1222884, largePrimes:37218454 encountered
Relations: rels:32489696, finalFF:699411
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8283779 hash collisions in 51853947 relations
Msieve: matrix is 2958153 x 2958401 (781.2 MB)

Total sieving time: 50.30 hours.
Total relation processing time: 0.78 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19200000,19200000,29,29,58,58,2.6,2.6,100000
total time: 51.07 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 3321556k/3407296k available (2912k kernel code, 84428k reserved, 1794k data, 1544k init, 2502088k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.02 BogoMIPS (lpj=2830511)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Total of 4 processors activated (22643.75 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61318118Makoto KamadaMarch 4, 2009 07:00:00 UTC 2009 年 3 月 4 日 (水) 16 時 0 分 0 秒 (日本時間)
1200Dmitry DomanovJune 30, 2009 07:08:10 UTC 2009 年 6 月 30 日 (火) 16 時 8 分 10 秒 (日本時間)
403e62500Dmitry DomanovJune 30, 2009 07:08:10 UTC 2009 年 6 月 30 日 (火) 16 時 8 分 10 秒 (日本時間)

44×10207+19

c156

name 名前Warut Roonguthai
date 日付February 7, 2013 19:28:32 UTC 2013 年 2 月 8 日 (金) 4 時 28 分 32 秒 (日本時間)
composite number 合成数
135798685553254807560975246836461390043582657652736400169572373006344063241290553136351708774193748592525318983299997664029610130973787389956489573567121767<156>
prime factors 素因数
131814237994962202353333042498407<33>
1372089378437347044434303795823023096585051<43>
750845946415429012063850529452067622729840887307839412295233542989485319159902931<81>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3749021384
Step 1 took 8034ms
Step 2 took 5709ms
********** Factor found in step 2: 131814237994962202353333042498407
Found probable prime factor of 33 digits: 131814237994962202353333042498407
Composite cofactor 1030227747919347578256108688265374535968613486321281606910519081030094040837931849822158480004712001145995949790914745684481 has 124 digits

N = 1030227747919347578256108688265374535968613486321281606910519081030094040837931849822158480004712001145995949790914745684481 (124 digits)
Divisors found:
r1=1372089378437347044434303795823023096585051 (pp43)
r2=750845946415429012063850529452067622729840887307839412295233542989485319159902931 (pp81)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 13.32 hours.
Factorization parameters were as follows:
n: 1030227747919347578256108688265374535968613486321281606910519081030094040837931849822158480004712001145995949790914745684481
Y0: -990609190221110626033299
Y1: 7601761733771
c0: 774186770375046156779444720360
c1: -67039060786477316882328448
c2: 167969805712543430656
c3: 3978598402359985
c4: -737727558
c5: 1080
skew: 294320.28 
type: gnfs
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 11062217
Relations: 1596706 relations
Pruned matrix : 915656 x 915889
Polynomial selection time: 0.00 hours.
Total sieving time: 12.52 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.66 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: gnfs,123,5,65,2000,1e-05,0.28,250,20,50000,3600,5200000,5200000,27,27,53,53,2.5,2.5,100000
total time: 13.32 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)

44×10208+19

c178

name 名前Dmitry Domanov
date 日付February 11, 2013 09:40:52 UTC 2013 年 2 月 11 日 (月) 18 時 40 分 52 秒 (日本時間)
composite number 合成数
1505183523485924229947689410377022962159299564290937173433451279364178417121156378338672939275784119449758603518631097657615033324728150398010512163304545119285560761481548836439<178>
prime factors 素因数
24567192957633616872515951689817099<35>
61268030339551982059141444054309932792820185265334365128620216236829447174486127662457060641932088567189719523853337178368161869242025828866661<143>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3228940447
Step 1 took 22987ms
Step 2 took 8918ms
********** Factor found in step 2: 24567192957633616872515951689817099
Found probable prime factor of 35 digits: 24567192957633616872515951689817099

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)
403e61000 / 2318Dmitry DomanovFebruary 8, 2013 17:11:55 UTC 2013 年 2 月 9 日 (土) 2 時 11 分 55 秒 (日本時間)

44×10209+19

c203

name 名前Bob Backstrom
date 日付August 11, 2020 07:21:02 UTC 2020 年 8 月 11 日 (火) 16 時 21 分 2 秒 (日本時間)
composite number 合成数
60672125530848349236255836537821272521441287853011627109612895705843444101743459031223075451565738654791697631858006487422178863715058767779190748846674602856468490407330174549430525224663709920941876283<203>
prime factors 素因数
292634925507596715139186540922663066873779697423<48>
41717977221695465792087905476354416702405752127948710240107928968119<68>
4969810279208340082806589754474121580002726819048761993535720373944377514306798470298259<88>
factorization results 素因数分解の結果
Number: n
N=60672125530848349236255836537821272521441287853011627109612895705843444101743459031223075451565738654791697631858006487422178863715058767779190748846674602856468490407330174549430525224663709920941876283  ( 203 digits)
SNFS difficulty: 211 digits.
Divisors found:

Tue Aug 11 17:09:21 2020  found factor: 4969810279208340082806589754474121580002726819048761993535720373944377514306798470298259
Tue Aug 11 17:13:39 2020  p48 factor: 292634925507596715139186540922663066873779697423
Tue Aug 11 17:13:39 2020  p68 factor: 41717977221695465792087905476354416702405752127948710240107928968119
Tue Aug 11 17:13:39 2020  p88 factor: 4969810279208340082806589754474121580002726819048761993535720373944377514306798470298259
Tue Aug 11 17:13:39 2020  elapsed time 02:44:09 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.121).
Factorization parameters were as follows:
#
# N = 44x10^209+1 = 48(208)9
#
n: 60672125530848349236255836537821272521441287853011627109612895705843444101743459031223075451565738654791697631858006487422178863715058767779190748846674602856468490407330174549430525224663709920941876283
m: 100000000000000000000000000000000000
deg: 6
c6: 22
c0: 5
skew: 0.78
# Murphy_E = 6.374e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 44300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9738172 hash collisions in 65736992 relations (59060323 unique)
Msieve: matrix is 2517179 x 2517404 (883.5 MB)

Sieving start time: 2020/08/10 19:21:27
Sieving end time  : 2020/08/11 14:28:12

Total sieving time: 19hrs 6min 45secs.

Total relation processing time: 2hrs 16min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 37sec.

Prototype def-par.txt line would be:
snfs,211,6,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.154206] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283136K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2720K bss, 420324K reserved, 0K cma-reserved)
[    0.188728] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.50 BogoMIPS (lpj=11977004)
[    0.186225] smpboot: Total of 16 processors activated (95816.03 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 8, 2013 17:12:04 UTC 2013 年 2 月 9 日 (土) 2 時 12 分 4 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:12 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 12 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:39 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 39 秒 (日本時間)

44×10210+19

c201

name 名前KTakahashi
date 日付February 5, 2013 14:15:07 UTC 2013 年 2 月 5 日 (火) 23 時 15 分 7 秒 (日本時間)
composite number 合成数
455257548617169838296254015900052629973376521898580333455447800219052067674503889700821016265108665750668054339807990804130932006956531889970208123672403991163850490533169942346898073199567834765591983<201>
prime factors 素因数
3910892244098670059155270323858059<34>
composite cofactor 合成数の残り
116407591977030163940706589939334870138226839198072346973134658872348583624458186608376408272146827526182128236142681574562846225848251148929624902057539261786271648237<168>
factorization results 素因数分解の結果
GMP-ECM 6.4.3 [configured with GMP 5.0.5] [ECM]
Input number is 455257548617169838296254015900052629973376521898580333455447800219052067674503889700821016265108665750668054339807990804130932006956531889970208123672403991163850490533169942346898073199567834765591983 (201 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1075696310
Step 1 took 24789ms
Step 2 took 7223ms
********** Factor found in step 2: 3910892244098670059155270323858059
Found probable prime factor of 34 digits: 3910892244098670059155270323858059
Composite cofactor 116407591977030163940706589939334870138226839198072346973134658872348583624458186608376408272146827526182128236142681574562846225848251148929624902057539261786271648237 has 168 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 8, 2013 17:12:12 UTC 2013 年 2 月 9 日 (土) 2 時 12 分 12 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:13 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 13 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:40 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 40 秒 (日本時間)

44×10213+19

c211

name 名前KTakahashi
date 日付February 5, 2013 18:49:39 UTC 2013 年 2 月 6 日 (水) 3 時 49 分 39 秒 (日本時間)
composite number 合成数
1175496246426758569100478213245705431326974967273115866527744382998049744863882877828537842964387806898025700622478694130533515000935053832384921589057198578718174774919184633058160348374342122839357751596270471<211>
prime factors 素因数
12614714948252512861763472405490097<35>
composite cofactor 合成数の残り
93184527058187496469534934116704253708005238188566573337348442833296954411781601356369832340940882509022234427862945805642900622087495050780099035324794947274386587273110197943<176>
factorization results 素因数分解の結果
Input number is 1175496246426758569100478213245705431326974967273115866527744382998049744863882877828537842964387806898025700622478694130533515000935053832384921589057198578718174774919184633058160348374342122839357751596270471 (211 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3050013635
Step 1 took 27441ms
Step 2 took 2106ms
********** Factor found in step 2: 12614714948252512861763472405490097
Found probable prime factor of 35 digits: 12614714948252512861763472405490097
Composite cofactor 93184527058187496469534934116704253708005238188566573337348442833296954411781601356369832340940882509022234427862945805642900622087495050780099035324794947274386587273110197943 has 176 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovFebruary 8, 2013 17:12:21 UTC 2013 年 2 月 9 日 (土) 2 時 12 分 21 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:13 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 13 秒 (日本時間)
4511e6692 / 4188392CypJanuary 9, 2014 05:27:33 UTC 2014 年 1 月 9 日 (木) 14 時 27 分 33 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:44 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 44 秒 (日本時間)

44×10214+19

c188

composite cofactor 合成数の残り
90264888466003240960210961170771500636735914113606574972974274378262762645253054864098577029039242263867454897053403122151308403128555715990443780837500942255936487532896876299749707539779<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 8, 2013 17:12:31 UTC 2013 年 2 月 9 日 (土) 2 時 12 分 31 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:14 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 14 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:40 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 40 秒 (日本時間)

44×10215+19

c205

name 名前Serge Batalov
date 日付May 27, 2014 00:49:33 UTC 2014 年 5 月 27 日 (火) 9 時 49 分 33 秒 (日本時間)
composite number 合成数
1594967517426432387340921346295481081229317957814238298850283106632428392311379953152399257775787634394870494607256584860118825260156351192060806816255872458818113737766006325896719083887675997360918489199<205>
prime factors 素因数
17192015201491145827887412279148413976260669531<47>
composite cofactor 合成数の残り
92773738199585422346944556922680581569916969832551700471153319306535605174805264161071936690854362470481880844735681569828409277756831905917342504923131208829<158>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3722970886
Step 1 took 59285ms
Step 2 took 28045ms
********** Factor found in step 2: 17192015201491145827887412279148413976260669531
Found probable prime factor of 47 digits: 17192015201491145827887412279148413976260669531
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovFebruary 8, 2013 17:12:40 UTC 2013 年 2 月 9 日 (土) 2 時 12 分 40 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:14 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 14 秒 (日本時間)
4511e6595 / 4188295CypMarch 6, 2014 14:37:15 UTC 2014 年 3 月 6 日 (木) 23 時 37 分 15 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:44 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 44 秒 (日本時間)

44×10216+19

c194

composite cofactor 合成数の残り
36912805792212430689817201458015527036061180717041380644511106696466874400130053477249994314673810172618618190899197963969084059690559165683602721355817958224517099150140406369307169618029464917<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 8, 2013 17:12:50 UTC 2013 年 2 月 9 日 (土) 2 時 12 分 50 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:15 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 15 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:41 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 41 秒 (日本時間)

44×10219+19

c200

composite cofactor 合成数の残り
24235307673355017633898585381817435151949309148330643985412887827013739825782750763139667909229786784447022027469422099966462596737826419065340282861299667433230592556200962555111114920851361881733973<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 8, 2013 17:12:58 UTC 2013 年 2 月 9 日 (土) 2 時 12 分 58 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:16 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 16 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:41 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 41 秒 (日本時間)

44×10220+19

c206

name 名前KTakahashi
date 日付February 5, 2013 14:48:22 UTC 2013 年 2 月 5 日 (火) 23 時 48 分 22 秒 (日本時間)
composite number 合成数
80756703335928127206817555374236511131405548970118620722101077475901767036721032346120985301071489529391651548720229383140383698235769265097409117111809292343391237146939205250204305979612869327884946552337<206>
prime factors 素因数
7979299211689565958726827414204477<34>
10120776423275448005936639366696471339362649875583788501815525659332380191709878069052323380892654682714057563584673438141250338532020380778518840364875219032261817044846181<173>
factorization results 素因数分解の結果
GMP-ECM 6.4.3 [configured with GMP 5.0.5] [ECM]
Input number is 80756703335928127206817555374236511131405548970118620722101077475901767036721032346120985301071489529391651548720229383140383698235769265097409117111809292343391237146939205250204305979612869327884946552337 (206 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2602804785
Step 1 took 29703ms
Step 2 took 8236ms
********** Factor found in step 2: 7979299211689565958726827414204477
Found probable prime factor of 34 digits: 7979299211689565958726827414204477
Probable prime cofactor 10120776423275448005936639366696471339362649875583788501815525659332380191709878069052323380892654682714057563584673438141250338532020380778518840364875219032261817044846181 has 173 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)

44×10221+19

c206

composite cofactor 合成数の残り
39891979606781806914656985594945892498120487867133899363034233147501087123331710380490339931808946540750253801870761316067210154494489725125118252639969674397744470479560459221268235703018470899913785902417<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 8, 2013 17:13:09 UTC 2013 年 2 月 9 日 (土) 2 時 13 分 9 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:16 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 16 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:41 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 41 秒 (日本時間)

44×10222+19

c217

name 名前Dmitry Domanov
date 日付February 11, 2013 09:41:25 UTC 2013 年 2 月 11 日 (月) 18 時 41 分 25 秒 (日本時間)
composite number 合成数
2863904834004495940056909694376442976823394509595024980735358335352711685037639845612097498515813864150283666519370833954117250476921515794532792654136171775449813680209486827957881593026235516208106686182876335482759<217>
prime factors 素因数
2022762259914676467329328946764212431<37>
composite cofactor 合成数の残り
1415838574190770342382338203973477867199553766974556978275432063718476332937096977951468257567991855041319679004863306010329811207139345678243614602852514010386447198495849749484489<181>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=635415877
Step 1 took 30454ms
Step 2 took 11100ms
********** Factor found in step 2: 2022762259914676467329328946764212431
Found probable prime factor of 37 digits: 2022762259914676467329328946764212431

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 8, 2013 17:13:18 UTC 2013 年 2 月 9 日 (土) 2 時 13 分 18 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:17 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 17 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:42 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 42 秒 (日本時間)

44×10224+19

c216

composite cofactor 合成数の残り
498384111452817869639157909241441285362109653156694332984717385252923129654764669503264465032177846772624322618020907729303001063297857750821114526812670849733414344447343533493853862064456570567094880186821168976183<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 8, 2013 17:13:27 UTC 2013 年 2 月 9 日 (土) 2 時 13 分 27 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:18 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 18 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:42 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 42 秒 (日本時間)

44×10225+19

c188

name 名前KTakahashi
date 日付February 5, 2013 14:19:30 UTC 2013 年 2 月 5 日 (火) 23 時 19 分 30 秒 (日本時間)
composite number 合成数
94077728509937222273790492591494545597794415063619095980578996939064223599743104898825373663417302387842934503324075589090769375306575502281624883651745838604192983946223902485252984938793<188>
prime factors 素因数
17165385870477619352921635509237061<35>
composite cofactor 合成数の残り
5480664939303199633338636018020391769714806430953184833595194650486344430418223398529883623822286024555202666509369518516535192140749413501749330137637013<154>
factorization results 素因数分解の結果
GMP-ECM 6.4.3 [configured with GMP 5.0.5] [ECM]
Input number is 94077728509937222273790492591494545597794415063619095980578996939064223599743104898825373663417302387842934503324075589090769375306575502281624883651745838604192983946223902485252984938793 (188 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=195315014
Step 1 took 19516ms
Step 2 took 6786ms
********** Factor found in step 2: 17165385870477619352921635509237061
Found probable prime factor of 35 digits: 17165385870477619352921635509237061
Composite cofactor 5480664939303199633338636018020391769714806430953184833595194650486344430418223398529883623822286024555202666509369518516535192140749413501749330137637013 has 154 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)
403e631001000Dmitry DomanovFebruary 8, 2013 17:13:36 UTC 2013 年 2 月 9 日 (土) 2 時 13 分 36 秒 (日本時間)
2100Warut RoonguthaiFebruary 13, 2013 10:17:56 UTC 2013 年 2 月 13 日 (水) 19 時 17 分 56 秒 (日本時間)
4511e63794850Serge BatalovNovember 8, 2013 17:11:49 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 49 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:45 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 45 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:41 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 41 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:45 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 45 秒 (日本時間)
400Serge BatalovJune 23, 2015 21:29:41 UTC 2015 年 6 月 24 日 (水) 6 時 29 分 41 秒 (日本時間)
944Ignacio SantosDecember 28, 2015 22:54:21 UTC 2015 年 12 月 29 日 (火) 7 時 54 分 21 秒 (日本時間)

44×10228+19

c218

composite cofactor 合成数の残り
25757615820511067243201688288742683448735626359333535792213041419040705527962891755154950953516036117269752326687403865622725943366920096495416452259967436795123811669437922081194477487957091455228309432316916211841239<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 8, 2013 17:13:47 UTC 2013 年 2 月 9 日 (土) 2 時 13 分 47 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:19 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 19 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:42 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 42 秒 (日本時間)

44×10229+19

c206

name 名前KTakahashi
date 日付February 5, 2013 14:22:19 UTC 2013 年 2 月 5 日 (火) 23 時 22 分 19 秒 (日本時間)
composite number 合成数
41059951928820133677713256850455262487501491855191568601894172853735127954887681301447822209702456619542347054571131747075571449709722954856974728736067512028901529495580078975504485723765109149032529857483<206>
prime factors 素因数
1420658752031006074940847157992451<34>
28902051157689974596780383708349075012919364096234988641011587453131998834835490910846334174249213520986646682075942244830669748997840605800809313915688201111534357412436633<173>
factorization results 素因数分解の結果
GMP-ECM 6.4.3 [configured with GMP 5.0.5] [ECM]
Input number is 41059951928820133677713256850455262487501491855191568601894172853735127954887681301447822209702456619542347054571131747075571449709722954856974728736067512028901529495580078975504485723765109149032529857483 (206 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2737602090
Step 1 took 27331ms
Step 2 took 7472ms
********** Factor found in step 2: 1420658752031006074940847157992451
Found probable prime factor of 34 digits: 1420658752031006074940847157992451
Probable prime cofactor 28902051157689974596780383708349075012919364096234988641011587453131998834835490910846334174249213520986646682075942244830669748997840605800809313915688201111534357412436633 has 173 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)

44×10230+19

c222

name 名前KTakahashi
date 日付February 5, 2013 14:24:52 UTC 2013 年 2 月 5 日 (火) 23 時 24 分 52 秒 (日本時間)
composite number 合成数
608637160061917482719797494841675228694122997466044727298826388659603858746813412195540176379001548829274740937227351776784135286028747726612773763350238068611899165860545076442772461728490424105246581253983022726791391479<222>
prime factors 素因数
30545448556810553479194807977<29>
composite cofactor 合成数の残り
19925625218105135554327937979001498472141071698491080644698967018056270928172254942025816208242636320743404638251908687215598813141408501560835210143058648680630599175447317285270241595467079327<194>
factorization results 素因数分解の結果
GMP-ECM 6.4.3 [configured with GMP 5.0.5] [ECM]
Input number is 608637160061917482719797494841675228694122997466044727298826388659603858746813412195540176379001548829274740937227351776784135286028747726612773763350238068611899165860545076442772461728490424105246581253983022726791391479 (222 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1970578431
Step 1 took 31856ms
Step 2 took 8767ms
********** Factor found in step 2: 30545448556810553479194807977
Found probable prime factor of 29 digits: 30545448556810553479194807977
Composite cofactor 19925625218105135554327937979001498472141071698491080644698967018056270928172254942025816208242636320743404638251908687215598813141408501560835210143058648680630599175447317285270241595467079327 has 194 digits

c194

name 名前Cyp
date 日付February 5, 2014 13:42:53 UTC 2014 年 2 月 5 日 (水) 22 時 42 分 53 秒 (日本時間)
composite number 合成数
19925625218105135554327937979001498472141071698491080644698967018056270928172254942025816208242636320743404638251908687215598813141408501560835210143058648680630599175447317285270241595467079327<194>
prime factors 素因数
207349799430474676140247359732194350013732558519<48>
96096669844073264450303251655465710180789277383537834597486105417619353337688533152844352775631344713806017601243334691148542563991663983159807833<146>
factorization results 素因数分解の結果
Run 67 out of 144:
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3696419870
Step 1 took 278564ms
Step 2 took 64341ms
********** Factor found in step 2: 207349799430474676140247359732194350013732558519
Found probable prime factor of 48 digits: 207349799430474676140247359732194350013732558519
Probable prime cofactor 96096669844073264450303251655465710180789277383537834597486105417619353337688533152844352775631344713806017601243334691148542563991663983159807833 has 146 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)
403e61300 / 16781000Dmitry DomanovFebruary 8, 2013 17:13:56 UTC 2013 年 2 月 9 日 (土) 2 時 13 分 56 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:19 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 19 秒 (日本時間)
4511e60 / 3953--
5043e667 / 7504CypFebruary 5, 2014 13:42:51 UTC 2014 年 2 月 5 日 (水) 22 時 42 分 51 秒 (日本時間)

44×10231+19

c199

composite cofactor 合成数の残り
1640840082180557875436581406897972811095859756300107846315609632782355185816772356383366330484466211535552777186756756349578961387323161210450496568281364416942929563763276610082740962490290306025193<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovFebruary 8, 2013 17:14:06 UTC 2013 年 2 月 9 日 (土) 2 時 14 分 6 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:20 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 20 秒 (日本時間)
4511e6605 / 4188305CypJanuary 10, 2014 09:00:53 UTC 2014 年 1 月 10 日 (金) 18 時 0 分 53 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:45 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 45 秒 (日本時間)

44×10232+19

c217

name 名前KTakahashi
date 日付February 5, 2013 14:27:54 UTC 2013 年 2 月 5 日 (火) 23 時 27 分 54 秒 (日本時間)
composite number 合成数
2203244070456106816293814133328665933092484677491005634958401673855934442205836249732838252058438065211995296798410956871270085272058528812616688035740929485048559763176997499291482878076849518158385839230001951572669<217>
prime factors 素因数
1371129291105882977374634623099<31>
composite cofactor 合成数の残り
1606882797084060894332154498140351476625957175027672355329186890681391993905777753565308117307956864444058826684358871240869228826092273475496563406905842045618889054044119469018708283431<187>
factorization results 素因数分解の結果
GMP-ECM 6.4.3 [configured with GMP 5.0.5] [ECM]
Input number is 2203244070456106816293814133328665933092484677491005634958401673855934442205836249732838252058438065211995296798410956871270085272058528812616688035740929485048559763176997499291482878076849518158385839230001951572669 (217 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1721061041
Step 1 took 29063ms
Step 2 took 8081ms
********** Factor found in step 2: 1371129291105882977374634623099
Found probable prime factor of 31 digits: 1371129291105882977374634623099
Composite cofactor 1606882797084060894332154498140351476625957175027672355329186890681391993905777753565308117307956864444058826684358871240869228826092273475496563406905842045618889054044119469018708283431 has 187 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovFebruary 8, 2013 17:14:16 UTC 2013 年 2 月 9 日 (土) 2 時 14 分 16 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:24 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 24 秒 (日本時間)
4511e6605 / 4188305CypJanuary 9, 2014 20:50:45 UTC 2014 年 1 月 10 日 (金) 5 時 50 分 45 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:46 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 46 秒 (日本時間)

44×10233+19

c211

composite cofactor 合成数の残り
1436582110534771681744681681216322150140040184758057131504858438311813112135418881695059157773725055843430870427363091414589033735562642342210593416583290277071524610145231704995240688995598745837331654301018291<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 8, 2013 17:14:26 UTC 2013 年 2 月 9 日 (土) 2 時 14 分 26 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:25 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 25 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:43 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 43 秒 (日本時間)

44×10235+19

c210

name 名前Dmitry Domanov
date 日付February 7, 2013 12:40:45 UTC 2013 年 2 月 7 日 (木) 21 時 40 分 45 秒 (日本時間)
composite number 合成数
936624943235553751761972589812903855231908448926682539591763657653016551253914169787509717017149072386601614886642478345877997557928391842605768689117939235283991329402181965630521752200534390019768169426566353<210>
prime factors 素因数
430840645391566459425833629830881<33>
2173947498347814484532374069378804435871908050010020199295687019326050054526278370930145686706328739194604898998359645354637777746142340098263835569239369808273967715118428412913<178>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3675613193
Step 1 took 26703ms
********** Factor found in step 1: 430840645391566459425833629830881
Found probable prime factor of 33 digits: 430840645391566459425833629830881

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)

44×10237+19

c170

name 名前KTakahashi
date 日付February 5, 2013 14:31:48 UTC 2013 年 2 月 5 日 (火) 23 時 31 分 48 秒 (日本時間)
composite number 合成数
19166267359135486122581137426825836006663909114218994121258574785980108545404754639027164616893889746666557662704928524275699263077799529554921313236315406168597115813381<170>
prime factors 素因数
12192225554136096044532829753273<32>
composite cofactor 合成数の残り
1572007282348341482255744435412756058392236342687895147202560739160185923280180729976981374110560025601043962121851138327125526808964468397<139>
factorization results 素因数分解の結果
GMP-ECM 6.4.3 [configured with GMP 5.0.5] [ECM]
Input number is 19166267359135486122581137426825836006663909114218994121258574785980108545404754639027164616893889746666557662704928524275699263077799529554921313236315406168597115813381 (170 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1485552871
Step 1 took 15272ms
Step 2 took 5570ms
********** Factor found in step 2: 12192225554136096044532829753273
Found probable prime factor of 32 digits: 12192225554136096044532829753273
Composite cofactor 1572007282348341482255744435412756058392236342687895147202560739160185923280180729976981374110560025601043962121851138327125526808964468397 has 139 digits

c139

name 名前Erik Branger
date 日付November 27, 2013 19:06:34 UTC 2013 年 11 月 28 日 (木) 4 時 6 分 34 秒 (日本時間)
composite number 合成数
1572007282348341482255744435412756058392236342687895147202560739160185923280180729976981374110560025601043962121851138327125526808964468397<139>
prime factors 素因数
12780093973405888964195667096264295774832718555767<50>
123004360188550498532962776588777987381620715057259474742056918029790896724453714361840891<90>
factorization results 素因数分解の結果
Number: 48889_237
N = 1572007282348341482255744435412756058392236342687895147202560739160185923280180729976981374110560025601043962121851138327125526808964468397 (139 digits)
Divisors found:
r1=12780093973405888964195667096264295774832718555767 (pp50)
r2=123004360188550498532962776588777987381620715057259474742056918029790896724453714361840891 (pp90)
Version: Msieve v. 1.51 (SVN 845)
Total time: 162.69 hours.
Factorization parameters were as follows:
# Murphy_E = 2.691e-11, selected by Erik Branger
n: 1572007282348341482255744435412756058392236342687895147202560739160185923280180729976981374110560025601043962121851138327125526808964468397
Y0: -1112132401481115781955898912
Y1: 414402787751551
c0: 391084475722987204501360458889224595
c1: 463652818762096802701716195958
c2: 41448903896361228398931
c3: -66631275333865378
c4: 644186978
c5: 924
skew: 4404157.2
type: gnfs
# selected mechanically
rlim: 16300000
alim: 16300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16300000/16300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23046365
Relations: 3964886 relations
Pruned matrix : 2390895 x 2391121
Polynomial selection time: 0.00 hours.
Total sieving time: 156.30 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 4.87 hours.
time per square root: 1.38 hours.
Prototype def-par.txt line would be: gnfs,138,5,65,2000,1e-05,0.28,250,20,50000,3600,16300000,16300000,28,28,55,55,2.6,2.6,100000
total time: 162.69 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)
403e64100Warut RoonguthaiFebruary 7, 2013 00:53:45 UTC 2013 年 2 月 7 日 (木) 9 時 53 分 45 秒 (日本時間)
4511e61860 / 3569160Ignacio SantosFebruary 25, 2013 10:11:56 UTC 2013 年 2 月 25 日 (月) 19 時 11 分 56 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:45:59 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 59 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:06 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 6 秒 (日本時間)

44×10238+19

c155

composite cofactor 合成数の残り
13853771432694067059757703508977424100506622311500640687786105438045026865744337905274972544124001552230279068695126699143259314279389208794314373341181671<155>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)
403e63300Warut RoonguthaiFebruary 7, 2013 19:23:04 UTC 2013 年 2 月 8 日 (金) 4 時 23 分 4 秒 (日本時間)
4511e63746850Serge BatalovNovember 8, 2013 17:11:55 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 55 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:49 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 49 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:44 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 44 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:46 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 46 秒 (日本時間)
1296Ignacio SantosJanuary 13, 2016 07:22:14 UTC 2016 年 1 月 13 日 (水) 16 時 22 分 14 秒 (日本時間)

44×10240+19

c185

composite cofactor 合成数の残り
17574616482716363256314912003145883887335441643189008441627263239397396547065613561957994822678421129941318657763140209296908790530091809314304627460570482193624609119648234919598497699<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovFebruary 8, 2013 17:14:47 UTC 2013 年 2 月 9 日 (土) 2 時 14 分 47 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:25 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 25 秒 (日本時間)
4511e6300 / 3682Serge BatalovMay 27, 2014 00:32:46 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 46 秒 (日本時間)
5043e6144 / 7436CypFebruary 10, 2014 18:03:21 UTC 2014 年 2 月 11 日 (火) 3 時 3 分 21 秒 (日本時間)

44×10241+19

c165

composite cofactor 合成数の残り
121671433128960497167276820426856059581707687152222921134586021590702283516138864482525313099073479737372829696058233667725227263441428922070223603360318005887558727<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)
403e62500Warut RoonguthaiFebruary 7, 2013 12:09:25 UTC 2013 年 2 月 7 日 (木) 21 時 9 分 25 秒 (日本時間)
4511e622501000Dmitry DomanovMay 22, 2013 09:08:56 UTC 2013 年 5 月 22 日 (水) 18 時 8 分 56 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:13:15 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 15 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:53 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 53 秒 (日本時間)
5043e6500 / 6953Erik BrangerMarch 17, 2014 18:29:03 UTC 2014 年 3 月 18 日 (火) 3 時 29 分 3 秒 (日本時間)

44×10242+19

c237

name 名前Dmitry Domanov
date 日付February 7, 2013 12:17:05 UTC 2013 年 2 月 7 日 (木) 21 時 17 分 5 秒 (日本時間)
composite number 合成数
680052258924951751065015932542525290602558758447137760504450401084003300726373091197635396472785313220478660964737590244093939327901261357838707369030821977619789273442985577791718849085739288674610604394899546235130232325944101868119011<237>
prime factors 素因数
340793209239996356849633933737475741<36>
1995498268411913796517006507706503886266445372154050540876222592561284471710293543502905139699078659286918734016639968589775545655180712855850294111789949617418786593707107206120300642956466719490745471<202>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1104936938
Step 1 took 34849ms
Step 2 took 12261ms
********** Factor found in step 2: 340793209239996356849633933737475741
Found probable prime factor of 36 digits: 340793209239996356849633933737475741

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)

44×10243+19

c230

name 名前Serge Batalov
date 日付May 19, 2014 02:00:16 UTC 2014 年 5 月 19 日 (月) 11 時 0 分 16 秒 (日本時間)
composite number 合成数
17895156503687838658654056352643604672947941332124524438895227810062994478175511664113270806625365241172762202780431489784190475167909331074473473808003526240587079967727463267217534902637222205579166691641181129765432820688670271<230>
prime factors 素因数
529930570960157014462594883192257608450623<42>
33768869894153155496026885349679710032926828089391031130422821842358297110269316046406593042508513053218309152263924844150971221183362648324188167075111411315866690945191976220652869170177<188>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2579452221
Step 1 took 66558ms
Step 2 took 31538ms
********** Factor found in step 2: 529930570960157014462594883192257608450623
Found probable prime factor of 42 digits: 529930570960157014462594883192257608450623
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)
403e61300 / 23181000Dmitry DomanovFebruary 8, 2013 17:15:09 UTC 2013 年 2 月 9 日 (土) 2 時 15 分 9 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:26 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 26 秒 (日本時間)

44×10244+19

c200

composite cofactor 合成数の残り
19988241656294130987642993423539901006880775306939577367404270415062606812779573323196435039263577187187189535597685720019845276523627242976412714913131467899299949483578697022998357646004034053451803<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 8, 2013 17:16:51 UTC 2013 年 2 月 9 日 (土) 2 時 16 分 51 秒 (日本時間)
4511e6692 / 4254392CypJanuary 8, 2014 20:41:18 UTC 2014 年 1 月 9 日 (木) 5 時 41 分 18 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:47 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 47 秒 (日本時間)

44×10245+19

c232

name 名前Dmitry Domanov
date 日付February 8, 2013 10:33:26 UTC 2013 年 2 月 8 日 (金) 19 時 33 分 26 秒 (日本時間)
composite number 合成数
1126939250664752237854368994176935685997761036371583884901587808450405864873429054029608033180810866266895999975509507415213278107650033339861437798259848544425397468132399141986848877392486942041884181121223122433832063788602280581<232>
prime factors 素因数
82626789320466838303554397858889239<35>
composite cofactor 合成数の残り
13638908880919168126888409982420461771322171971337559696026016789053010077431069213925504959347795108301579847016686668439487909066923572498585101121824015827593534400945282762308521480558829181379<197>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1551166944
Step 1 took 31896ms
Step 2 took 11712ms
********** Factor found in step 2: 82626789320466838303554397858889239
Found probable prime factor of 35 digits: 82626789320466838303554397858889239

c197

name 名前Serge Batalov
date 日付May 27, 2014 06:29:48 UTC 2014 年 5 月 27 日 (火) 15 時 29 分 48 秒 (日本時間)
composite number 合成数
13638908880919168126888409982420461771322171971337559696026016789053010077431069213925504959347795108301579847016686668439487909066923572498585101121824015827593534400945282762308521480558829181379<197>
prime factors 素因数
1017461775739742625149951639930637328310771<43>
composite cofactor 合成数の残り
13404836629860654065956491705846149055172854225967040599034943670130694648793096408888354752550742749302550676437101850449890018304831055165740676738321649<155>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=357452224
Step 1 took 59550ms
********** Factor found in step 1: 1017461775739742625149951639930637328310771
Found probable prime factor of 43 digits: 1017461775739742625149951639930637328310771
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)
403e613001000Dmitry DomanovFebruary 8, 2013 17:17:01 UTC 2013 年 2 月 9 日 (土) 2 時 17 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:27 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 27 秒 (日本時間)
4511e63800300Serge BatalovMay 27, 2014 00:32:47 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 47 秒 (日本時間)
300Dmitry DomanovMarch 1, 2016 13:12:23 UTC 2016 年 3 月 1 日 (火) 22 時 12 分 23 秒 (日本時間)
3200Lionel DebrouxJanuary 3, 2018 15:46:36 UTC 2018 年 1 月 4 日 (木) 0 時 46 分 36 秒 (日本時間)
5043e6144 / 6651CypFebruary 5, 2014 21:00:12 UTC 2014 年 2 月 6 日 (木) 6 時 0 分 12 秒 (日本時間)

44×10246+19

c218

composite cofactor 合成数の残り
24666408992011144095125008523811563833048624923565297384143893128281386292806936279292217974678385286026143528040352095359594114653721608804768778073126820443791672402927689459511552360579991976548046236976843363389169<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 8, 2013 17:17:10 UTC 2013 年 2 月 9 日 (土) 2 時 17 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:28 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 28 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:43 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 43 秒 (日本時間)

44×10248+19

c238

composite cofactor 合成数の残り
3073094392725261113324743801132084322790056945697829678043258847563374300412109556360186582885070409918241347699454833079105764657157920644004977027389258185417974879854729463103560530916383374788662790416759359891630645405985584136987927<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 8, 2013 17:17:20 UTC 2013 年 2 月 9 日 (土) 2 時 17 分 20 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:29 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 29 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:44 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 44 秒 (日本時間)
4511e6173 / 3900CypFebruary 19, 2014 21:02:52 UTC 2014 年 2 月 20 日 (木) 6 時 2 分 52 秒 (日本時間)

44×10249+19

c205

composite cofactor 合成数の残り
1213753649959370360556648335262152958179657557190997101518966132363089246557826023479560402944672492988700466370776588633685151702099565182380026782754335547641088810110017600108732110719875958125343665529<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovFebruary 8, 2013 17:17:29 UTC 2013 年 2 月 9 日 (土) 2 時 17 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:45:30 UTC 2014 年 1 月 9 日 (木) 13 時 45 分 30 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:44 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 44 秒 (日本時間)

44×10250+19

c231

composite cofactor 合成数の残り
862127607558919220196910024812271051045682898723895386360380755841138632104778073427666449154215349193589169718472877291023697421193254008608919172313707427973384397809633574664541467893900337219348664313465566081806458578103082671<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 5, 2013 13:00:00 UTC 2013 年 2 月 5 日 (火) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 8, 2013 17:17:47 UTC 2013 年 2 月 9 日 (土) 2 時 17 分 47 秒 (日本時間)
4511e61000Dmitry DomanovFebruary 8, 2013 17:17:47 UTC 2013 年 2 月 9 日 (土) 2 時 17 分 47 秒 (日本時間)
5043e6928 / 7291Dmitry DomanovFebruary 11, 2013 11:24:40 UTC 2013 年 2 月 11 日 (月) 20 時 24 分 40 秒 (日本時間)