Table of contents 目次

43×10107-619

c91

name 名前Erik Branger
date 日付February 15, 2009 15:54:01 UTC 2009 年 2 月 16 日 (月) 0 時 54 分 1 秒 (日本時間)
composite number 合成数
1455447776846830371340399960018503553645247165141598369089276272909152778232497473312835297<91>
prime factors 素因数
14226811194310956229338618806873<32>
102303162456309080732822575209405595505437738286521037113289<60>
factorization results 素因数分解の結果
Sun Feb 15 14:55:03 2009  Msieve v. 1.39
Sun Feb 15 14:55:03 2009  random seeds: f5ae9c98 fff75bb0
Sun Feb 15 14:55:03 2009  factoring 1455447776846830371340399960018503553645247165141598369089276272909152778232497473312835297 (91 digits)
Sun Feb 15 14:55:04 2009  searching for 15-digit factors
Sun Feb 15 14:55:06 2009  commencing quadratic sieve (91-digit input)
Sun Feb 15 14:55:06 2009  using multiplier of 1
Sun Feb 15 14:55:06 2009  using 32kb Intel Core sieve core
Sun Feb 15 14:55:06 2009  sieve interval: 36 blocks of size 32768
Sun Feb 15 14:55:06 2009  processing polynomials in batches of 6
Sun Feb 15 14:55:06 2009  using a sieve bound of 1652513 (62308 primes)
Sun Feb 15 14:55:06 2009  using large prime bound of 145421144 (27 bits)
Sun Feb 15 14:55:06 2009  using double large prime bound of 492866721827128 (42-49 bits)
Sun Feb 15 14:55:06 2009  using trial factoring cutoff of 49 bits
Sun Feb 15 14:55:06 2009  polynomial 'A' values have 12 factors
Sun Feb 15 14:55:25 2009  
Sun Feb 15 14:55:25 2009  

Sun Feb 15 16:49:40 2009  
Sun Feb 15 16:49:40 2009  Msieve v. 1.39
Sun Feb 15 16:49:40 2009  random seeds: 2c38db48 15232584
Sun Feb 15 16:49:40 2009  factoring 1455447776846830371340399960018503553645247165141598369089276272909152778232497473312835297 (91 digits)
Sun Feb 15 16:49:41 2009  searching for 15-digit factors
Sun Feb 15 16:49:43 2009  commencing quadratic sieve (91-digit input)
Sun Feb 15 16:49:43 2009  using multiplier of 1
Sun Feb 15 16:49:43 2009  using 32kb Intel Core sieve core
Sun Feb 15 16:49:43 2009  sieve interval: 36 blocks of size 32768
Sun Feb 15 16:49:43 2009  processing polynomials in batches of 6
Sun Feb 15 16:49:43 2009  using a sieve bound of 1652513 (62308 primes)
Sun Feb 15 16:49:43 2009  using large prime bound of 145421144 (27 bits)
Sun Feb 15 16:49:43 2009  using double large prime bound of 492866721827128 (42-49 bits)
Sun Feb 15 16:49:43 2009  using trial factoring cutoff of 49 bits
Sun Feb 15 16:49:43 2009  polynomial 'A' values have 12 factors
Sun Feb 15 16:49:44 2009  restarting with 17030 full and 725896 partial relations
Sun Feb 15 16:49:44 2009  68855 relations (17030 full + 51825 combined from 725896 partial), need 62404
Sun Feb 15 16:49:44 2009  begin with 742926 relations
Sun Feb 15 16:49:45 2009  reduce to 170003 relations in 10 passes
Sun Feb 15 16:49:45 2009  attempting to read 170003 relations

Sun Feb 15 16:49:50 2009  recovered 168835 relations
Sun Feb 15 16:49:50 2009  recovered 142934 polynomials
Sun Feb 15 16:49:51 2009  attempting to build 67691 cycles
Sun Feb 15 16:49:51 2009  found 67691 cycles in 6 passes
Sun Feb 15 16:49:51 2009  distribution of cycle lengths:
Sun Feb 15 16:49:51 2009     length 1 : 16909
Sun Feb 15 16:49:51 2009     length 2 : 12702
Sun Feb 15 16:49:51 2009     length 3 : 12004
Sun Feb 15 16:49:51 2009     length 4 : 9263
Sun Feb 15 16:49:51 2009     length 5 : 6880
Sun Feb 15 16:49:51 2009     length 6 : 4239
Sun Feb 15 16:49:51 2009     length 7 : 2643
Sun Feb 15 16:49:51 2009     length 9+: 3051
Sun Feb 15 16:49:51 2009  largest cycle: 18 relations
Sun Feb 15 16:49:51 2009  matrix is 62308 x 67691 (16.6 MB) with weight 4091641 (60.45/col)
Sun Feb 15 16:49:51 2009  sparse part has weight 4091641 (60.45/col)
Sun Feb 15 16:49:52 2009  filtering completed in 4 passes
Sun Feb 15 16:49:52 2009  matrix is 57681 x 57745 (13.2 MB) with weight 3241565 (56.14/col)
Sun Feb 15 16:49:52 2009  sparse part has weight 3241565 (56.14/col)
Sun Feb 15 16:49:52 2009  saving the first 48 matrix rows for later
Sun Feb 15 16:49:52 2009  matrix is 57633 x 57745 (8.2 MB) with weight 2515473 (43.56/col)
Sun Feb 15 16:49:52 2009  sparse part has weight 1794001 (31.07/col)
Sun Feb 15 16:49:52 2009  matrix includes 64 packed rows
Sun Feb 15 16:49:52 2009  using block size 23098 for processor cache size 2048 kB
Sun Feb 15 16:49:52 2009  commencing Lanczos iteration
Sun Feb 15 16:49:52 2009  memory use: 8.2 MB
Sun Feb 15 16:50:09 2009  lanczos halted after 913 iterations (dim = 57631)
Sun Feb 15 16:50:09 2009  recovered 15 nontrivial dependencies
Sun Feb 15 16:50:10 2009  prp32 factor: 14226811194310956229338618806873
Sun Feb 15 16:50:10 2009  prp60 factor: 102303162456309080732822575209405595505437738286521037113289
Sun Feb 15 16:50:10 2009  elapsed time 00:00:30
software ソフトウェア
Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)

43×10119-619

c97

name 名前Robert Backstrom
date 日付February 16, 2009 05:38:41 UTC 2009 年 2 月 16 日 (月) 14 時 38 分 41 秒 (日本時間)
composite number 合成数
8953700178004697272850078007323773932868947994732885669881369760907449234154980288975464372446359<97>
prime factors 素因数
686841041276857189302957733169540389755111199<45>
13036058767483538717215947584356676918200426562472841<53>
factorization results 素因数分解の結果
Number: n
N=8953700178004697272850078007323773932868947994732885669881369760907449234154980288975464372446359
  ( 97 digits)
SNFS difficulty: 121 digits.
Divisors found:

Mon Feb 16 16:33:14 2009  prp45 factor: 686841041276857189302957733169540389755111199
Mon Feb 16 16:33:14 2009  prp53 factor: 13036058767483538717215947584356676918200426562472841
Mon Feb 16 16:33:14 2009  elapsed time 00:16:20 (Msieve 1.39 - dependency 4)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 1.96 hours.
Scaled time: 2.57 units (timescale=1.316).
Factorization parameters were as follows:
name: KA_4_7_118_1
n: 8953700178004697272850078007323773932868947994732885669881369760907449234154980288975464372446359
deg: 5
c5: 43
c0: -610
m: 1000000000000000000000000
skew: 1.70
type: snfs
rlim: 600000
alim: 600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 480203)
Primes: RFBsize:49098, AFBsize:49047, largePrimes:5511719 encountered
Relations: rels:4688886, finalFF:109219
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 243840 hash collisions in 4898442 relations
Msieve: matrix is 124992 x 125240 (33.4 MB)

Total sieving time: 1.85 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,600000,600000,28,28,56,56,2.5,2.5,50000
total time: 1.96 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)

43×10121-619

c103

name 名前Erik Branger
date 日付February 15, 2009 17:20:18 UTC 2009 年 2 月 16 日 (月) 2 時 20 分 18 秒 (日本時間)
composite number 合成数
4086049368305861293153821232230387164334742283566132179392795643464068457934791786218016782912709202601<103>
prime factors 素因数
90194248637814352047759031494690479<35>
45302770742221875681422612444030225099879253011075410319280004436519<68>
factorization results 素因数分解の結果
Number: 47771_121
N=4086049368305861293153821232230387164334742283566132179392795643464068457934791786218016782912709202601
  ( 103 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=90194248637814352047759031494690479
 r2=45302770742221875681422612444030225099879253011075410319280004436519
Version: 
Total time: 2.37 hours.
Scaled time: 2.36 units (timescale=0.994).
Factorization parameters were as follows:
n: 4086049368305861293153821232230387164334742283566132179392795643464068457934791786218016782912709202601
m: 1000000000000000000000000
deg: 5
c5: 430
c0: -61
skew: 0.68
type: snfs
lss: 1
rlim: 770000
alim: 770000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 770000/770000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [385000, 685001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 86738 x 86983
Total sieving time: 2.37 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,122,5,0,0,0,0,0,0,0,0,770000,770000,25,25,46,46,2.2,2.2,50000
total time: 2.37 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)

43×10122-619

c91

name 名前Erik Branger
date 日付February 15, 2009 16:43:19 UTC 2009 年 2 月 16 日 (月) 1 時 43 分 19 秒 (日本時間)
composite number 合成数
1564733177524189700508302751567064458781574081944760784627626700487602371134391481177091567<91>
prime factors 素因数
28184184763523821836019790432528482078337<41>
55518128008771743119102762930430142616557897671791<50>
factorization results 素因数分解の結果
Sun Feb 15 15:16:02 2009  Msieve v. 1.38
Sun Feb 15 15:16:02 2009  random seeds: 7f02d460 f08de5ca
Sun Feb 15 15:16:02 2009  factoring 1564733177524189700508302751567064458781574081944760784627626700487602371134391481177091567 (91 digits)
Sun Feb 15 15:16:03 2009  searching for 15-digit factors
Sun Feb 15 15:16:05 2009  commencing quadratic sieve (91-digit input)
Sun Feb 15 15:16:05 2009  using multiplier of 7
Sun Feb 15 15:16:05 2009  using 64kb Pentium 4 sieve core
Sun Feb 15 15:16:05 2009  sieve interval: 18 blocks of size 65536
Sun Feb 15 15:16:05 2009  processing polynomials in batches of 6
Sun Feb 15 15:16:05 2009  using a sieve bound of 1645421 (62353 primes)
Sun Feb 15 15:16:05 2009  using large prime bound of 144797048 (27 bits)
Sun Feb 15 15:16:05 2009  using double large prime bound of 489065930136608 (42-49 bits)
Sun Feb 15 15:16:05 2009  using trial factoring cutoff of 49 bits
Sun Feb 15 15:16:05 2009  polynomial 'A' values have 12 factors
Sun Feb 15 17:32:30 2009  62641 relations (16533 full + 46108 combined from 696963 partial), need 62449
Sun Feb 15 17:32:33 2009  begin with 713496 relations
Sun Feb 15 17:32:34 2009  reduce to 154230 relations in 10 passes
Sun Feb 15 17:32:34 2009  attempting to read 154230 relations
Sun Feb 15 17:32:40 2009  recovered 154230 relations
Sun Feb 15 17:32:40 2009  recovered 134193 polynomials
Sun Feb 15 17:32:40 2009  attempting to build 62641 cycles
Sun Feb 15 17:32:40 2009  found 62641 cycles in 5 passes
Sun Feb 15 17:32:40 2009  distribution of cycle lengths:
Sun Feb 15 17:32:40 2009     length 1 : 16533
Sun Feb 15 17:32:40 2009     length 2 : 11802
Sun Feb 15 17:32:40 2009     length 3 : 10893
Sun Feb 15 17:32:40 2009     length 4 : 8380
Sun Feb 15 17:32:40 2009     length 5 : 6072
Sun Feb 15 17:32:40 2009     length 6 : 3885
Sun Feb 15 17:32:40 2009     length 7 : 2327
Sun Feb 15 17:32:40 2009     length 9+: 2749
Sun Feb 15 17:32:40 2009  largest cycle: 17 relations
Sun Feb 15 17:32:40 2009  matrix is 62353 x 62641 (15.4 MB) with weight 3792217 (60.54/col)
Sun Feb 15 17:32:40 2009  sparse part has weight 3792217 (60.54/col)
Sun Feb 15 17:32:41 2009  filtering completed in 3 passes
Sun Feb 15 17:32:41 2009  matrix is 58535 x 58599 (14.5 MB) with weight 3566489 (60.86/col)
Sun Feb 15 17:32:41 2009  sparse part has weight 3566489 (60.86/col)
Sun Feb 15 17:32:42 2009  saving the first 48 matrix rows for later
Sun Feb 15 17:32:42 2009  matrix is 58487 x 58599 (9.2 MB) with weight 2813987 (48.02/col)
Sun Feb 15 17:32:42 2009  sparse part has weight 2071367 (35.35/col)
Sun Feb 15 17:32:42 2009  matrix includes 64 packed rows
Sun Feb 15 17:32:42 2009  using block size 21845 for processor cache size 512 kB
Sun Feb 15 17:32:42 2009  commencing Lanczos iteration
Sun Feb 15 17:32:42 2009  memory use: 9.0 MB
Sun Feb 15 17:33:16 2009  lanczos halted after 926 iterations (dim = 58485)
Sun Feb 15 17:33:16 2009  recovered 16 nontrivial dependencies
Sun Feb 15 17:33:17 2009  prp41 factor: 28184184763523821836019790432528482078337
Sun Feb 15 17:33:17 2009  prp50 factor: 55518128008771743119102762930430142616557897671791
Sun Feb 15 17:33:17 2009  elapsed time 02:17:15
software ソフトウェア
Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e6500 / 2318Erik BrangerFebruary 15, 2009 14:16:17 UTC 2009 年 2 月 15 日 (日) 23 時 16 分 17 秒 (日本時間)

43×10124-619

c113

name 名前Jo Yeong Uk
date 日付February 16, 2009 13:16:44 UTC 2009 年 2 月 16 日 (月) 22 時 16 分 44 秒 (日本時間)
composite number 合成数
35271069654188110604310693579449758929093792694822280641027184497713020658439788776775525020655692211494968120957<113>
prime factors 素因数
57670739452665100371167339196616006651255717<44>
611593851386938504114770827406703530934017650552297959822029434697721<69>
factorization results 素因数分解の結果
Number: 47771_124
N=35271069654188110604310693579449758929093792694822280641027184497713020658439788776775525020655692211494968120957
  ( 113 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=57670739452665100371167339196616006651255717
 r2=611593851386938504114770827406703530934017650552297959822029434697721
Version: 
Total time: 1.00 hours.
Scaled time: 2.33 units (timescale=2.335).
Factorization parameters were as follows:
n: 35271069654188110604310693579449758929093792694822280641027184497713020658439788776775525020655692211494968120957
m: 10000000000000000000000000
deg: 5
c5: 43
c0: -610
skew: 1.70
type: snfs
lss: 1
rlim: 800000
alim: 800000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [400000, 680001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 2328603
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 127754 x 128002
Total sieving time: 0.87 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,800000,800000,26,26,46,46,2.3,2.3,40000
total time: 1.00 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e6550 / 2318Serge BatalovFebruary 15, 2009 21:51:41 UTC 2009 年 2 月 16 日 (月) 6 時 51 分 41 秒 (日本時間)

43×10125-619

c94

name 名前Sinkiti Sibata
date 日付February 17, 2009 03:53:16 UTC 2009 年 2 月 17 日 (火) 12 時 53 分 16 秒 (日本時間)
composite number 合成数
5518151581753750275625959440828313150369530075974461894895744348308024266777754720900040162117<94>
prime factors 素因数
98302269014734626147638425900634857243929937<44>
56134529111699639152696867219348421245265838793141<50>
factorization results 素因数分解の結果
Tue Feb 17 07:51:21 2009  Msieve v. 1.39
Tue Feb 17 07:51:21 2009  random seeds: 4e82ded0 626dabf8
Tue Feb 17 07:51:21 2009  factoring 5518151581753750275625959440828313150369530075974461894895744348308024266777754720900040162117 (94 digits)
Tue Feb 17 07:51:22 2009  searching for 15-digit factors
Tue Feb 17 07:51:23 2009  commencing quadratic sieve (94-digit input)
Tue Feb 17 07:51:24 2009  using multiplier of 13
Tue Feb 17 07:51:24 2009  using 32kb Intel Core sieve core
Tue Feb 17 07:51:24 2009  sieve interval: 36 blocks of size 32768
Tue Feb 17 07:51:24 2009  processing polynomials in batches of 6
Tue Feb 17 07:51:24 2009  using a sieve bound of 2050679 (76471 primes)
Tue Feb 17 07:51:24 2009  using large prime bound of 282993702 (28 bits)
Tue Feb 17 07:51:24 2009  using double large prime bound of 1633797068989626 (42-51 bits)
Tue Feb 17 07:51:24 2009  using trial factoring cutoff of 51 bits
Tue Feb 17 07:51:24 2009  polynomial 'A' values have 12 factors
Tue Feb 17 10:46:01 2009  76683 relations (19245 full + 57438 combined from 1089796 partial), need 76567
Tue Feb 17 10:46:02 2009  begin with 1109041 relations
Tue Feb 17 10:46:04 2009  reduce to 197134 relations in 14 passes
Tue Feb 17 10:46:04 2009  attempting to read 197134 relations
Tue Feb 17 10:46:07 2009  recovered 197134 relations
Tue Feb 17 10:46:07 2009  recovered 178691 polynomials
Tue Feb 17 10:46:07 2009  attempting to build 76683 cycles
Tue Feb 17 10:46:07 2009  found 76682 cycles in 5 passes
Tue Feb 17 10:46:07 2009  distribution of cycle lengths:
Tue Feb 17 10:46:07 2009     length 1 : 19245
Tue Feb 17 10:46:07 2009     length 2 : 13786
Tue Feb 17 10:46:07 2009     length 3 : 12988
Tue Feb 17 10:46:07 2009     length 4 : 10368
Tue Feb 17 10:46:07 2009     length 5 : 7746
Tue Feb 17 10:46:07 2009     length 6 : 5041
Tue Feb 17 10:46:07 2009     length 7 : 3234
Tue Feb 17 10:46:07 2009     length 9+: 4274
Tue Feb 17 10:46:07 2009  largest cycle: 23 relations
Tue Feb 17 10:46:07 2009  matrix is 76471 x 76682 (20.3 MB) with weight 5018304 (65.44/col)
Tue Feb 17 10:46:07 2009  sparse part has weight 5018304 (65.44/col)
Tue Feb 17 10:46:09 2009  filtering completed in 3 passes
Tue Feb 17 10:46:09 2009  matrix is 72546 x 72610 (19.4 MB) with weight 4785339 (65.90/col)
Tue Feb 17 10:46:09 2009  sparse part has weight 4785339 (65.90/col)
Tue Feb 17 10:46:09 2009  saving the first 48 matrix rows for later
Tue Feb 17 10:46:09 2009  matrix is 72498 x 72610 (12.8 MB) with weight 3853848 (53.08/col)
Tue Feb 17 10:46:09 2009  sparse part has weight 2914060 (40.13/col)
Tue Feb 17 10:46:09 2009  matrix includes 64 packed rows
Tue Feb 17 10:46:09 2009  using block size 29044 for processor cache size 1024 kB
Tue Feb 17 10:46:10 2009  commencing Lanczos iteration
Tue Feb 17 10:46:10 2009  memory use: 11.9 MB
Tue Feb 17 10:46:45 2009  lanczos halted after 1148 iterations (dim = 72498)
Tue Feb 17 10:46:45 2009  recovered 18 nontrivial dependencies
Tue Feb 17 10:46:46 2009  prp44 factor: 98302269014734626147638425900634857243929937
Tue Feb 17 10:46:46 2009  prp50 factor: 56134529111699639152696867219348421245265838793141
Tue Feb 17 10:46:46 2009  elapsed time 02:55:25

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e6550 / 2318Serge BatalovFebruary 15, 2009 21:51:42 UTC 2009 年 2 月 16 日 (月) 6 時 51 分 42 秒 (日本時間)

43×10127-619

c100

name 名前Serge Batalov
date 日付February 15, 2009 19:49:02 UTC 2009 年 2 月 16 日 (月) 4 時 49 分 2 秒 (日本時間)
composite number 合成数
3147142356093775304087925568829144205689861048012833549341982194432665850404413219407873021974043823<100>
prime factors 素因数
509054986545985914315609096394579<33>
6182323008851373913280520769101995173342062958201255762686072243637<67>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=3547595471
Step 1 took 8268ms
Step 2 took 10640ms
********** Factor found in step 2: 509054986545985914315609096394579
Found probable prime factor of 33 digits: 509054986545985914315609096394579
Probable prime cofactor 6182323008851373913280520769101995173342062958201255762686072243637 has 67 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)

43×10140-619

c121

name 名前Serge Batalov
date 日付February 15, 2009 18:22:21 UTC 2009 年 2 月 16 日 (月) 3 時 22 分 21 秒 (日本時間)
composite number 合成数
1138070172169303404473046261060646371608803162651267626793920488938457293972824927110086217096875074518526167451278993089<121>
prime factors 素因数
2807781173984016080101272676799<31>
composite cofactor 合成数の残り
405327232305099187365298506794707503782075648245778252701956086130956454512842708239011711<90>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=2177330287
Step 1 took 9832ms
Step 2 took 12144ms
********** Factor found in step 2: 2807781173984016080101272676799
Found probable prime factor of 31 digits: 2807781173984016080101272676799
Composite cofactor has 90 digits
software ソフトウェア
GMP-ECM 6.2.1

c90

name 名前Sinkiti Sibata
date 日付February 16, 2009 22:40:03 UTC 2009 年 2 月 17 日 (火) 7 時 40 分 3 秒 (日本時間)
composite number 合成数
405327232305099187365298506794707503782075648245778252701956086130956454512842708239011711<90>
prime factors 素因数
7723640672041417684521576904447403699170337<43>
52478779051999590207042356963788789748797491103<47>
factorization results 素因数分解の結果
Mon Feb 16 21:12:07 2009  Msieve v. 1.39
Mon Feb 16 21:12:07 2009  random seeds: 24d6521f 26e401d8
Mon Feb 16 21:12:07 2009  factoring 405327232305099187365298506794707503782075648245778252701956086130956454512842708239011711 (90 digits)
Mon Feb 16 21:12:08 2009  searching for 15-digit factors
Mon Feb 16 21:12:10 2009  commencing quadratic sieve (90-digit input)
Mon Feb 16 21:12:10 2009  using multiplier of 11
Mon Feb 16 21:12:10 2009  using 64kb Pentium 4 sieve core
Mon Feb 16 21:12:10 2009  sieve interval: 18 blocks of size 65536
Mon Feb 16 21:12:10 2009  processing polynomials in batches of 6
Mon Feb 16 21:12:10 2009  using a sieve bound of 1584403 (60000 primes)
Mon Feb 16 21:12:10 2009  using large prime bound of 126752240 (26 bits)
Mon Feb 16 21:12:10 2009  using double large prime bound of 384875318121120 (42-49 bits)
Mon Feb 16 21:12:10 2009  using trial factoring cutoff of 49 bits
Mon Feb 16 21:12:10 2009  polynomial 'A' values have 12 factors
Mon Feb 16 23:51:54 2009  60283 relations (15605 full + 44678 combined from 641499 partial), need 60096
Mon Feb 16 23:51:56 2009  begin with 657104 relations
Mon Feb 16 23:51:57 2009  reduce to 148545 relations in 11 passes
Mon Feb 16 23:51:57 2009  attempting to read 148545 relations
Mon Feb 16 23:52:01 2009  recovered 148545 relations
Mon Feb 16 23:52:01 2009  recovered 130823 polynomials
Mon Feb 16 23:52:01 2009  attempting to build 60283 cycles
Mon Feb 16 23:52:01 2009  found 60283 cycles in 5 passes
Mon Feb 16 23:52:01 2009  distribution of cycle lengths:
Mon Feb 16 23:52:01 2009     length 1 : 15605
Mon Feb 16 23:52:01 2009     length 2 : 11482
Mon Feb 16 23:52:01 2009     length 3 : 10488
Mon Feb 16 23:52:01 2009     length 4 : 8082
Mon Feb 16 23:52:01 2009     length 5 : 5828
Mon Feb 16 23:52:01 2009     length 6 : 3718
Mon Feb 16 23:52:01 2009     length 7 : 2305
Mon Feb 16 23:52:01 2009     length 9+: 2775
Mon Feb 16 23:52:01 2009  largest cycle: 18 relations
Mon Feb 16 23:52:02 2009  matrix is 60000 x 60283 (14.8 MB) with weight 3645163 (60.47/col)
Mon Feb 16 23:52:02 2009  sparse part has weight 3645163 (60.47/col)
Mon Feb 16 23:52:03 2009  filtering completed in 3 passes
Mon Feb 16 23:52:03 2009  matrix is 56611 x 56675 (14.0 MB) with weight 3440546 (60.71/col)
Mon Feb 16 23:52:03 2009  sparse part has weight 3440546 (60.71/col)
Mon Feb 16 23:52:03 2009  saving the first 48 matrix rows for later
Mon Feb 16 23:52:03 2009  matrix is 56563 x 56675 (8.8 MB) with weight 2717635 (47.95/col)
Mon Feb 16 23:52:03 2009  sparse part has weight 1974818 (34.84/col)
Mon Feb 16 23:52:03 2009  matrix includes 64 packed rows
Mon Feb 16 23:52:03 2009  using block size 21845 for processor cache size 512 kB
Mon Feb 16 23:52:04 2009  commencing Lanczos iteration
Mon Feb 16 23:52:04 2009  memory use: 8.6 MB
Mon Feb 16 23:52:34 2009  lanczos halted after 896 iterations (dim = 56562)
Mon Feb 16 23:52:34 2009  recovered 17 nontrivial dependencies
Mon Feb 16 23:52:35 2009  prp43 factor: 7723640672041417684521576904447403699170337
Mon Feb 16 23:52:35 2009  prp47 factor: 52478779051999590207042356963788789748797491103
Mon Feb 16 23:52:35 2009  elapsed time 02:40:28

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)

43×10142-619

c136

name 名前Serge Batalov
date 日付February 15, 2009 18:42:08 UTC 2009 年 2 月 16 日 (月) 3 時 42 分 8 秒 (日本時間)
composite number 合成数
1335759407911160592609847704820058933767205384959353415904450507735974503695407912949888933003119939461892553196905763655532885233269521<136>
prime factors 素因数
971975142044493496125235627<27>
composite cofactor 合成数の残り
1374273219684886110425633843081179314367550784801415167464068283959390961846904203558375753774865608809206323<109>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=3401780523
Step 1 took 12739ms
Step 2 took 13538ms
********** Factor found in step 2: 971975142044493496125235627
Found probable prime factor of 27 digits: 971975142044493496125235627
Composite cofactor has 109 digits
software ソフトウェア
GMP-ECM 6.2.1

c109

name 名前Jo Yeong Uk
date 日付February 16, 2009 23:53:46 UTC 2009 年 2 月 17 日 (火) 8 時 53 分 46 秒 (日本時間)
composite number 合成数
1374273219684886110425633843081179314367550784801415167464068283959390961846904203558375753774865608809206323<109>
prime factors 素因数
6359029958009305926862739463303985620388379963359<49>
216113657076574346992381331592346705690321604633547083159597<60>
factorization results 素因数分解の結果
Number: 47771_142
N=1374273219684886110425633843081179314367550784801415167464068283959390961846904203558375753774865608809206323
  ( 109 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=6359029958009305926862739463303985620388379963359
 r2=216113657076574346992381331592346705690321604633547083159597
Version: 
Total time: 6.13 hours.
Scaled time: 14.57 units (timescale=2.375).
Factorization parameters were as follows:
n: 1374273219684886110425633843081179314367550784801415167464068283959390961846904203558375753774865608809206323
m: 10000000000000000000000000000
deg: 5
c5: 4300
c0: -61
skew: 0.43
type: snfs
lss: 1
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [750000, 1400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3850387
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 251977 x 252225
Total sieving time: 5.71 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,49,49,2.3,2.3,50000
total time: 6.13 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)

43×10143-619

c102

name 名前Sinkiti Sibata
date 日付February 16, 2009 22:49:10 UTC 2009 年 2 月 17 日 (火) 7 時 49 分 10 秒 (日本時間)
composite number 合成数
756996740420151233386293617974273659264620199260250699674158397990327213454264657595630963113226871663<102>
prime factors 素因数
102624840455862064407000833817896986463<39>
7376349985613162477584632245935778321122766520937732169503100401<64>
factorization results 素因数分解の結果
Mon Feb 16 07:33:36 2009  Msieve v. 1.39
Mon Feb 16 07:33:36 2009  random seeds: 1efa2ba8 3f80fda9
Mon Feb 16 07:33:36 2009  factoring 756996740420151233386293617974273659264620199260250699674158397990327213454264657595630963113226871663 (102 digits)
Mon Feb 16 07:33:37 2009  searching for 15-digit factors
Mon Feb 16 07:33:39 2009  commencing quadratic sieve (102-digit input)
Mon Feb 16 07:33:40 2009  using multiplier of 2
Mon Feb 16 07:33:40 2009  using 32kb Intel Core sieve core
Mon Feb 16 07:33:40 2009  sieve interval: 36 blocks of size 32768
Mon Feb 16 07:33:40 2009  processing polynomials in batches of 6
Mon Feb 16 07:33:40 2009  using a sieve bound of 3272387 (117500 primes)
Mon Feb 16 07:33:40 2009  using large prime bound of 490858050 (28 bits)
Mon Feb 16 07:33:40 2009  using double large prime bound of 4402715446837350 (44-52 bits)
Mon Feb 16 07:33:40 2009  using trial factoring cutoff of 52 bits
Mon Feb 16 07:33:40 2009  polynomial 'A' values have 13 factors
Tue Feb 17 03:20:09 2009  117796 relations (27579 full + 90217 combined from 1762840 partial), need 117596
Tue Feb 17 03:20:11 2009  begin with 1790419 relations
Tue Feb 17 03:20:13 2009  reduce to 313239 relations in 12 passes
Tue Feb 17 03:20:13 2009  attempting to read 313239 relations
Tue Feb 17 03:20:19 2009  recovered 313239 relations
Tue Feb 17 03:20:19 2009  recovered 305305 polynomials
Tue Feb 17 03:20:20 2009  attempting to build 117796 cycles
Tue Feb 17 03:20:20 2009  found 117795 cycles in 5 passes
Tue Feb 17 03:20:20 2009  distribution of cycle lengths:
Tue Feb 17 03:20:20 2009     length 1 : 27579
Tue Feb 17 03:20:20 2009     length 2 : 19739
Tue Feb 17 03:20:20 2009     length 3 : 19664
Tue Feb 17 03:20:20 2009     length 4 : 15984
Tue Feb 17 03:20:20 2009     length 5 : 12454
Tue Feb 17 03:20:20 2009     length 6 : 8760
Tue Feb 17 03:20:20 2009     length 7 : 5606
Tue Feb 17 03:20:20 2009     length 9+: 8009
Tue Feb 17 03:20:20 2009  largest cycle: 19 relations
Tue Feb 17 03:20:21 2009  matrix is 117500 x 117795 (34.8 MB) with weight 8657234 (73.49/col)
Tue Feb 17 03:20:21 2009  sparse part has weight 8657234 (73.49/col)
Tue Feb 17 03:20:23 2009  filtering completed in 3 passes
Tue Feb 17 03:20:23 2009  matrix is 113209 x 113273 (33.6 MB) with weight 8359768 (73.80/col)
Tue Feb 17 03:20:23 2009  sparse part has weight 8359768 (73.80/col)
Tue Feb 17 03:20:23 2009  saving the first 48 matrix rows for later
Tue Feb 17 03:20:23 2009  matrix is 113161 x 113273 (23.6 MB) with weight 6934256 (61.22/col)
Tue Feb 17 03:20:23 2009  sparse part has weight 5513657 (48.68/col)
Tue Feb 17 03:20:23 2009  matrix includes 64 packed rows
Tue Feb 17 03:20:23 2009  using block size 43690 for processor cache size 1024 kB
Tue Feb 17 03:20:25 2009  commencing Lanczos iteration
Tue Feb 17 03:20:25 2009  memory use: 21.1 MB
Tue Feb 17 03:22:09 2009  lanczos halted after 1791 iterations (dim = 113159)
Tue Feb 17 03:22:10 2009  recovered 16 nontrivial dependencies
Tue Feb 17 03:22:11 2009  prp39 factor: 102624840455862064407000833817896986463
Tue Feb 17 03:22:11 2009  prp64 factor: 7376349985613162477584632245935778321122766520937732169503100401
Tue Feb 17 03:22:11 2009  elapsed time 19:48:35

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e6550 / 2318Serge BatalovFebruary 15, 2009 21:51:43 UTC 2009 年 2 月 16 日 (月) 6 時 51 分 43 秒 (日本時間)

43×10144-619

c121

name 名前Jo Yeong Uk
date 日付February 17, 2009 04:02:30 UTC 2009 年 2 月 17 日 (火) 13 時 2 分 30 秒 (日本時間)
composite number 合成数
4116034550460564813748098138709870879452440801197676121176679269551367554028928848439137916612448202103176435268764381737<121>
prime factors 素因数
110193612870242212645693272924122113622791783<45>
37352750701688809281498611377219784036007829353980004226140370590943237683439<77>
factorization results 素因数分解の結果
Number: 47771_144
N=4116034550460564813748098138709870879452440801197676121176679269551367554028928848439137916612448202103176435268764381737
  ( 121 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=110193612870242212645693272924122113622791783
 r2=37352750701688809281498611377219784036007829353980004226140370590943237683439
Version: 
Total time: 6.41 hours.
Scaled time: 14.86 units (timescale=2.319).
Factorization parameters were as follows:
n: 4116034550460564813748098138709870879452440801197676121176679269551367554028928848439137916612448202103176435268764381737
m: 100000000000000000000000000000
deg: 5
c5: 43
c0: -610
skew: 1.70
type: snfs
lss: 1
rlim: 1650000
alim: 1650000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1650000/1650000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [825000, 1500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4241738
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 246727 x 246975
Total sieving time: 6.08 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1650000,1650000,26,26,49,49,2.3,2.3,75000
total time: 6.41 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e6550 / 2318Serge BatalovFebruary 15, 2009 21:51:44 UTC 2009 年 2 月 16 日 (月) 6 時 51 分 44 秒 (日本時間)

43×10145-619

c126

name 名前Erik Branger
date 日付February 17, 2009 14:54:36 UTC 2009 年 2 月 17 日 (火) 23 時 54 分 36 秒 (日本時間)
composite number 合成数
192574785987268684455780319215148361749984341794729274246592538316541197471849039135275279536004523144463306494469797224546621<126>
prime factors 素因数
918101328123974051862278530274961583258199669722430734090181<60>
209753302917850389604880863916559051862645756212210465413357673241<66>
factorization results 素因数分解の結果
Number: 47771_145
N=192574785987268684455780319215148361749984341794729274246592538316541197471849039135275279536004523144463306494469797224546621
  ( 126 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=918101328123974051862278530274961583258199669722430734090181
 r2=209753302917850389604880863916559051862645756212210465413357673241
Version: 
Total time: 15.17 hours.
Scaled time: 11.88 units (timescale=0.783).
Factorization parameters were as follows:
n: 192574785987268684455780319215148361749984341794729274246592538316541197471849039135275279536004523144463306494469797224546621
m: 100000000000000000000000000000
deg: 5
c5: 43
c0: -61
skew: 1.07
type: snfs
lss: 1
rlim: 1950000
alim: 1950000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1950000/1950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [975000, 2375001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 322228 x 322476
Total sieving time: 15.17 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1950000,1950000,26,26,49,49,2.3,2.3,100000
total time: 15.17 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e6550 / 2318Serge BatalovFebruary 15, 2009 21:51:44 UTC 2009 年 2 月 16 日 (月) 6 時 51 分 44 秒 (日本時間)

43×10148-619

c117

name 名前Jo Yeong Uk
date 日付February 17, 2009 22:24:34 UTC 2009 年 2 月 18 日 (水) 7 時 24 分 34 秒 (日本時間)
composite number 合成数
388546070357410472888762122414019432805997798219949048919437242587685416530014291285085014722220535373757598043160961<117>
prime factors 素因数
69658373543494025241174894925771756251923011<44>
5577880312046131909818066047850483955999577280283171864433498801873353451<73>
factorization results 素因数分解の結果
Number: 47771_148
N=388546070357410472888762122414019432805997798219949048919437242587685416530014291285085014722220535373757598043160961
  ( 117 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=69658373543494025241174894925771756251923011
 r2=5577880312046131909818066047850483955999577280283171864433498801873353451
Version: 
Total time: 10.24 hours.
Scaled time: 24.17 units (timescale=2.359).
Factorization parameters were as follows:
n: 388546070357410472888762122414019432805997798219949048919437242587685416530014291285085014722220535373757598043160961
m: 1000000000000000000000000000000
deg: 5
c5: 43
c0: -6100
skew: 2.69
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7428740
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 368502 x 368750
Total sieving time: 9.50 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2000000,2000000,27,27,49,49,2.4,2.4,100000
total time: 10.24 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
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e6550 / 2318Serge BatalovFebruary 15, 2009 21:51:45 UTC 2009 年 2 月 16 日 (月) 6 時 51 分 45 秒 (日本時間)

43×10154-619

c134

name 名前Jo Yeong Uk
date 日付February 18, 2009 10:42:46 UTC 2009 年 2 月 18 日 (水) 19 時 42 分 46 秒 (日本時間)
composite number 合成数
31357511080555835774399090121316456047579255614504315798291457403930937839118791844386060841950607986280672665057609217229883050353111<134>
prime factors 素因数
144998455525129973735485583611764881<36>
216261000622321818515855235227174561862847527613062975417782961788362713610454628027413792585977831<99>
factorization results 素因数分解の結果
Number: 47771_154
N=31357511080555835774399090121316456047579255614504315798291457403930937839118791844386060841950607986280672665057609217229883050353111
  ( 134 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=144998455525129973735485583611764881
 r2=216261000622321818515855235227174561862847527613062975417782961788362713610454628027413792585977831
Version: 
Total time: 11.55 hours.
Scaled time: 27.55 units (timescale=2.385).
Factorization parameters were as follows:
n: 31357511080555835774399090121316456047579255614504315798291457403930937839118791844386060841950607986280672665057609217229883050353111
m: 10000000000000000000000000000000
deg: 5
c5: 43
c0: -610
skew: 1.70
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, 2400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7959798
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 536710 x 536958
Total sieving time: 10.25 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 0.65 hours.
Time per square root: 0.26 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: 11.55 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
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e6550 / 2318Serge BatalovFebruary 15, 2009 21:51:45 UTC 2009 年 2 月 16 日 (月) 6 時 51 分 45 秒 (日本時間)

43×10159-619

c115

name 名前Ignacio Santos
date 日付February 19, 2009 13:17:27 UTC 2009 年 2 月 19 日 (木) 22 時 17 分 27 秒 (日本時間)
composite number 合成数
5273219118768680122071708571506706716912016856156729728638835595725334023723100878336479878234453392900749134736151<115>
prime factors 素因数
25751251215386511006956956407779078076869<41>
204775258284067508010307871544880791955964544084259425523964948382641441579<75>
factorization results 素因数分解の結果
Number: 47771_159
N=5273219118768680122071708571506706716912016856156729728638835595725334023723100878336479878234453392900749134736151
  ( 115 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=25751251215386511006956956407779078076869 (pp41)
 r2=204775258284067508010307871544880791955964544084259425523964948382641441579 (pp75)
Version: Msieve-1.39
Total time: 36.92 hours.
Scaled time: 94.51 units (timescale=2.560).
Factorization parameters were as follows:
n: 5273219118768680122071708571506706716912016856156729728638835595725334023723100878336479878234453392900749134736151
m: 100000000000000000000000000000000
deg: 5
c5: 43
c0: -610
skew: 1.70
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 3250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 604530 x 604778
Total sieving time: 36.92 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,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 36.92 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e6550 / 2318Serge BatalovFebruary 15, 2009 21:51:46 UTC 2009 年 2 月 16 日 (月) 6 時 51 分 46 秒 (日本時間)

43×10160-619

c129

name 名前Erik Branger
date 日付February 21, 2009 16:51:35 UTC 2009 年 2 月 22 日 (日) 1 時 51 分 35 秒 (日本時間)
composite number 合成数
329544103553524437142630573737847138140672187662421531344207977931454906200837907178392131176682093632910926826470819616850479799<129>
prime factors 素因数
507677995989841246989194634726525592636366766426170255699<57>
649120320669006679097042822232948846496567890641704033432611051708405901<72>
factorization results 素因数分解の結果
Number: 47771_160
N=329544103553524437142630573737847138140672187662421531344207977931454906200837907178392131176682093632910926826470819616850479799
  ( 129 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=507677995989841246989194634726525592636366766426170255699
 r2=649120320669006679097042822232948846496567890641704033432611051708405901
Version: 
Total time: 56.69 hours.
Scaled time: 44.05 units (timescale=0.777).
Factorization parameters were as follows:
n: 329544103553524437142630573737847138140672187662421531344207977931454906200837907178392131176682093632910926826470819616850479799
m: 100000000000000000000000000000000
deg: 5
c5: 43
c0: -61
skew: 1.07
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 3350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 633074 x 633322
Total sieving time: 56.69 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,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 56.69 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e6550 / 2318Serge BatalovFebruary 15, 2009 21:51:48 UTC 2009 年 2 月 16 日 (月) 6 時 51 分 48 秒 (日本時間)

43×10166-619

c113

name 名前Serge Batalov
date 日付February 15, 2009 22:22:55 UTC 2009 年 2 月 16 日 (月) 7 時 22 分 55 秒 (日本時間)
composite number 合成数
82573592766264481396492700652104854131271629269985034363033219664128774607545281791244543617122971273009878830903<113>
prime factors 素因数
897280718820561928249807356357529<33>
73970249053547678867643207278372778361<38>
1244101359385847412349825255921033918644487<43>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=59274701
Step 1 took 8344ms
Step 2 took 10793ms
********** Factor found in step 2: 897280718820561928249807356357529
Found probable prime factor of 33 digits: 897280718820561928249807356357529
Composite cofactor has 80 digits
Sun Feb 15 14:10:39 2009
Sun Feb 15 14:10:39 2009  Msieve v. 1.39
Sun Feb 15 14:10:39 2009  random seeds: d29fd19c 3cf57266
Sun Feb 15 14:10:39 2009  factoring 92026487401628360238713977917529420698694663305061074443251871502594085205545807 (80 digits)
Sun Feb 15 14:10:40 2009  searching for 15-digit factors
Sun Feb 15 14:10:40 2009  commencing quadratic sieve (80-digit input)
Sun Feb 15 14:10:40 2009  using multiplier of 7
Sun Feb 15 14:10:40 2009  using 64kb Opteron sieve core
Sun Feb 15 14:10:40 2009  sieve interval: 6 blocks of size 65536
Sun Feb 15 14:10:40 2009  processing polynomials in batches of 17
Sun Feb 15 14:10:40 2009  using a sieve bound of 1301077 (49996 primes)
Sun Feb 15 14:10:40 2009  using large prime bound of 130107700 (26 bits)
Sun Feb 15 14:10:40 2009  using trial factoring cutoff of 27 bits
Sun Feb 15 14:10:40 2009  polynomial 'A' values have 10 factors
Sun Feb 15 14:22:26 2009  50288 relations (26258 full + 24030 combined from 270126 partial), need 50092
Sun Feb 15 14:22:27 2009  begin with 296384 relations
Sun Feb 15 14:22:27 2009  reduce to 71381 relations in 2 passes
Sun Feb 15 14:22:27 2009  attempting to read 71381 relations
Sun Feb 15 14:22:27 2009  recovered 71381 relations
Sun Feb 15 14:22:27 2009  recovered 58949 polynomials
Sun Feb 15 14:22:27 2009  attempting to build 50288 cycles
Sun Feb 15 14:22:27 2009  found 50288 cycles in 1 passes
Sun Feb 15 14:22:27 2009  distribution of cycle lengths:
Sun Feb 15 14:22:27 2009     length 1 : 26258
Sun Feb 15 14:22:27 2009     length 2 : 24030
Sun Feb 15 14:22:27 2009  largest cycle: 2 relations
Sun Feb 15 14:22:27 2009  matrix is 49996 x 50288 (7.4 MB) with weight 1533099 (30.49/col)
Sun Feb 15 14:22:27 2009  sparse part has weight 1533099 (30.49/col)
Sun Feb 15 14:22:28 2009  filtering completed in 3 passes
Sun Feb 15 14:22:28 2009  matrix is 34735 x 34799 (5.6 MB) with weight 1196408 (34.38/col)
Sun Feb 15 14:22:28 2009  sparse part has weight 1196408 (34.38/col)
Sun Feb 15 14:22:28 2009  saving the first 48 matrix rows for later
Sun Feb 15 14:22:28 2009  matrix is 34687 x 34799 (4.2 MB) with weight 930902 (26.75/col)
Sun Feb 15 14:22:28 2009  sparse part has weight 740458 (21.28/col)
Sun Feb 15 14:22:28 2009  matrix includes 64 packed rows
Sun Feb 15 14:22:28 2009  using block size 13919 for processor cache size 1024 kB
Sun Feb 15 14:22:28 2009  commencing Lanczos iteration
Sun Feb 15 14:22:28 2009  memory use: 4.0 MB
Sun Feb 15 14:22:34 2009  lanczos halted after 551 iterations (dim = 34686)
Sun Feb 15 14:22:34 2009  recovered 17 nontrivial dependencies
Sun Feb 15 14:22:34 2009  prp38 factor: 73970249053547678867643207278372778361
Sun Feb 15 14:22:34 2009  prp43 factor: 1244101359385847412349825255921033918644487
Sun Feb 15 14:22:34 2009  elapsed time 00:11:55
software ソフトウェア
GMP-ECM 6.2.1, Msieve-1.39 qs
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e6550 / 2318Serge BatalovFebruary 15, 2009 21:51:48 UTC 2009 年 2 月 16 日 (月) 6 時 51 分 48 秒 (日本時間)

43×10167-619

c160

name 名前Serge Batalov
date 日付February 16, 2009 19:41:58 UTC 2009 年 2 月 17 日 (火) 4 時 41 分 58 秒 (日本時間)
composite number 合成数
1469297235067544757374446987145317016369300741801669019628303151502780964333241182086023179625663090895049087028637150168413736423357403521235814614745394074107<160>
prime factors 素因数
319763349029725752411560301820144379646161<42>
6014427291190661113921720374543389795594170837747841101189<58>
763988283777773635783075645741983142491685470331316503861583<60>
factorization results 素因数分解の結果
SNFS difficulty: 168 digits.
Divisors found:
 r1=319763349029725752411560301820144379646161 (pp42)
 r2=6014427291190661113921720374543389795594170837747841101189 (pp58)
 r3=763988283777773635783075645741983142491685470331316503861583 (pp60)
Version: Msieve-1.39
Total time: 40.84 hours.
Scaled time:  units (timescale=2.949).
Factorization parameters were as follows:
n: 1469297235067544757374446987145317016369300741801669019628303151502780964333241182086023179625663090895049087028637150168413736423357403521235814614745394074107
m: 1000000000000000000000000000000000
deg: 5
c5: 4300
c0: -61
skew: 0.5
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2350000, 5350001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 959321 x 959569
Total sieving time: 32.84 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 2.00 hours. x 4 cpu
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,200000
total time: 40.84 hours.
software ソフトウェア
Msieve-1.39
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e6550 / 2318Serge BatalovFebruary 16, 2009 01:20:19 UTC 2009 年 2 月 16 日 (月) 10 時 20 分 19 秒 (日本時間)

43×10168-619

c132

name 名前Jo Yeong Uk
date 日付July 21, 2009 02:08:18 UTC 2009 年 7 月 21 日 (火) 11 時 8 分 18 秒 (日本時間)
composite number 合成数
886530651126585105903250758298570538352456873152422573299364523119106894143736122032708526032962960174606258358367676475085456490021<132>
prime factors 素因数
16901046374539237625557269338688649493<38>
52454187242637751875089575327021264362767456784230240263930131709150203218780655157553340044497<95>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 886530651126585105903250758298570538352456873152422573299364523119106894143736122032708526032962960174606258358367676475085456490021 (132 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2321597130
Step 1 took 9853ms
Step 2 took 5141ms
********** Factor found in step 2: 16901046374539237625557269338688649493
Found probable prime factor of 38 digits: 16901046374539237625557269338688649493
Probable prime cofactor 52454187242637751875089575327021264362767456784230240263930131709150203218780655157553340044497 has 95 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
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e6550 / 2318Serge BatalovFebruary 15, 2009 21:51:49 UTC 2009 年 2 月 16 日 (月) 6 時 51 分 49 秒 (日本時間)

43×10170-619

c140

name 名前Jo Yeong Uk
date 日付August 30, 2009 08:06:43 UTC 2009 年 8 月 30 日 (日) 17 時 6 分 43 秒 (日本時間)
composite number 合成数
29810140212150119020193034504540165336135631922025659778353692043960704366721925412459175875355132428078825083113940577992345976016177193263<140>
prime factors 素因数
61205871025572349031057520850672879<35>
487047071018647562838374099050351413427398683541739940812874899307923729937987987488512016099910123356097<105>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 29810140212150119020193034504540165336135631922025659778353692043960704366721925412459175875355132428078825083113940577992345976016177193263 (140 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2242790170
Step 1 took 13962ms
Step 2 took 10124ms
********** Factor found in step 2: 61205871025572349031057520850672879
Found probable prime factor of 35 digits: 61205871025572349031057520850672879
Probable prime cofactor 487047071018647562838374099050351413427398683541739940812874899307923729937987987488512016099910123356097 has 105 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e6550 / 2318Serge BatalovFebruary 15, 2009 21:51:49 UTC 2009 年 2 月 16 日 (月) 6 時 51 分 49 秒 (日本時間)

43×10171-619

c168

name 名前Serge Batalov
date 日付February 15, 2009 19:21:52 UTC 2009 年 2 月 16 日 (月) 4 時 21 分 52 秒 (日本時間)
composite number 合成数
527290340776710934530159781235821407987835534463941924487118174349164306122699236042134176997878576070828581588983310647586113870188475640412512722412291996223129652111<168>
prime factors 素因数
7845455428462107106676257169548517<34>
67209653484714549323117321466492145147605549149413730004693507794615691079450687744110971209177162816167855429388847000741239221795683<134>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=4178244371
Step 1 took 13637ms
Step 2 took 15854ms
********** Factor found in step 2: 7845455428462107106676257169548517
Found probable prime factor of 34 digits: 7845455428462107106676257169548517
Probable prime cofactor has 134 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)

43×10172-619

c144

name 名前Wataru Sakai
date 日付June 18, 2010 10:08:53 UTC 2010 年 6 月 18 日 (金) 19 時 8 分 53 秒 (日本時間)
composite number 合成数
660021950890584583653206075357374735763957825108555561506138501274101502353986571146542065001555555758191255130010162928414045576913256939724593<144>
prime factors 素因数
11623794457993723903565422968848686899863203429603597<53>
56781970231475074898827335681640942790813656003904133058996011669463755468282737360505081269<92>
factorization results 素因数分解の結果
Number: 47771_172
N=660021950890584583653206075357374735763957825108555561506138501274101502353986571146542065001555555758191255130010162928414045576913256939724593
  ( 144 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=11623794457993723903565422968848686899863203429603597
 r2=56781970231475074898827335681640942790813656003904133058996011669463755468282737360505081269
Version: 
Total time: 128.85 hours.
Scaled time: 259.50 units (timescale=2.014).
Factorization parameters were as follows:
n: 660021950890584583653206075357374735763957825108555561506138501274101502353986571146542065001555555758191255130010162928414045576913256939724593
m: 10000000000000000000000000000000000
deg: 5
c5: 4300
c0: -61
skew: 0.43
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2750000, 7050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1023589 x 1023837
Total sieving time: 128.85 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 128.85 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e62318550Serge BatalovFebruary 15, 2009 21:51:49 UTC 2009 年 2 月 16 日 (月) 6 時 51 分 49 秒 (日本時間)
1668Wataru SakaiJune 3, 2010 06:49:45 UTC 2010 年 6 月 3 日 (木) 15 時 49 分 45 秒 (日本時間)
100Wataru SakaiJune 3, 2010 06:50:27 UTC 2010 年 6 月 3 日 (木) 15 時 50 分 27 秒 (日本時間)

43×10175-619

c132

name 名前Warut Roonguthai
date 日付January 3, 2012 13:40:59 UTC 2012 年 1 月 3 日 (火) 22 時 40 分 59 秒 (日本時間)
composite number 合成数
518034683564534481395486994086978838342572244664211333893057809303865354626634074539545914844182374153275843647967299692053667148901<132>
prime factors 素因数
17238317005290571492355159474290046420147758048418439919310462399<65>
30051349177854524320925249757024286150387687727366207613773869268699<68>
factorization results 素因数分解の結果
N = 518034683564534481395486994086978838342572244664211333893057809303865354626634074539545914844182374153275843647967299692053667148901 (132 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=17238317005290571492355159474290046420147758048418439919310462399 (pp65)
r2=30051349177854524320925249757024286150387687727366207613773869268699 (pp68)
Version: Msieve v. 1.48
Total time: 36.05 hours.
Factorization parameters were as follows:
name: (43*10^175-61)/9
n: 518034683564534481395486994086978838342572244664211333893057809303865354626634074539545914844182374153275843647967299692053667148901
Y0: 100000000000000000000000000000000000
Y1: -1
c0: -61
c1: 0
c2: 0
c3: 0
c4: 0
c5: 43
skew: 1.07
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20625650
Relations: 2636368 relations
Pruned matrix : 1490675 x 1490900
Polynomial selection time: 0.00 hours.
Total sieving time: 32.96 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.89 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 36.05 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e62318550Serge BatalovFebruary 15, 2009 21:51:50 UTC 2009 年 2 月 16 日 (月) 6 時 51 分 50 秒 (日本時間)
1768Wataru SakaiMay 20, 2011 09:55:37 UTC 2011 年 5 月 20 日 (金) 18 時 55 分 37 秒 (日本時間)
4511e640003000Wataru SakaiAugust 28, 2011 04:35:29 UTC 2011 年 8 月 28 日 (日) 13 時 35 分 29 秒 (日本時間)
1000Wataru SakaiAugust 28, 2011 04:35:35 UTC 2011 年 8 月 28 日 (日) 13 時 35 分 35 秒 (日本時間)

43×10176-619

c119

name 名前Jo Yeong Uk
date 日付March 3, 2009 14:30:51 UTC 2009 年 3 月 3 日 (火) 23 時 30 分 51 秒 (日本時間)
composite number 合成数
15817847534912831302529090682116843282045429442306500676740679450683592836514865749211284047570846181272431088522972519<119>
prime factors 素因数
103405039411964640209554971522786871674702176896591854287<57>
152969793589021182262675715827594600644346714549363121584949737<63>
factorization results 素因数分解の結果
Number: 47771_176
N=15817847534912831302529090682116843282045429442306500676740679450683592836514865749211284047570846181272431088522972519
  ( 119 digits)
Divisors found:
 r1=103405039411964640209554971522786871674702176896591854287
 r2=152969793589021182262675715827594600644346714549363121584949737
Version: 
Total time: 23.71 hours.
Scaled time: 56.56 units (timescale=2.385).
Factorization parameters were as follows:
name: 47771_176
n: 15817847534912831302529090682116843282045429442306500676740679450683592836514865749211284047570846181272431088522972519
skew: 52926.37
# norm 1.01e+16
c5: 16200
c4: 1296699318
c3: 321549041620995
c2: -6027505071870800284
c1: -432965756555996210893964
c0: 1395208670446382882234889360
# alpha -5.84
Y1: 778142714723
Y0: -62795191321863803995807
# Murphy_E 3.59e-10
# M 10039002453100207941900866177830567936876972703857384985376185758164620211110620218550257430073029486337315331444330562
type: gnfs
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [2000000, 3700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9461334
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 641774 x 642022
Polynomial selection time: 2.29 hours.
Total sieving time: 19.58 hours.
Total relation processing time: 0.78 hours.
Matrix solve time: 0.94 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4000000,4000000,27,27,52,52,2.4,2.4,100000
total time: 23.71 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
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e6550 / 2318Serge BatalovFebruary 15, 2009 21:51:50 UTC 2009 年 2 月 16 日 (月) 6 時 51 分 50 秒 (日本時間)

43×10177-619

c121

name 名前Jeff Gilchrist
date 日付April 14, 2009 10:02:27 UTC 2009 年 4 月 14 日 (火) 19 時 2 分 27 秒 (日本時間)
composite number 合成数
2859791622810339532002420199806141256086331750290755724214138455762859858329326969029525125381588126101060803108995358313<121>
prime factors 素因数
23458394311309179842266062524539260421928509<44>
121909095092311908628611882099805127119896107845918011449043507752877570553757<78>
factorization results 素因数分解の結果
Number: 47771_177
N=2859791622810339532002420199806141256086331750290755724214138455762859858329326969029525125381588126101060803108995358313
  ( 121 digits)
Divisors found:
 r1=23458394311309179842266062524539260421928509 (pp44)
 r2=121909095092311908628611882099805127119896107845918011449043507752877570553757 (pp78)
Version: Msieve-1.41
Total time: 29.33 hours.
Scaled time: 108.98 units (timescale=3.716).
Factorization parameters were as follows:
n: 2859791622810339532002420199806141256086331750290755724214138455762859858329326969029525125381588126101060803108995358313
Y0: -174568903292024692763149
Y1:  10713486627859
c0:  3999749289757025257324102518
c1: -90701164448737131225067
c2: -14051139356920072819
c3: -43072998826651
c4:  920786306
c5:  17640
skew: 58874.87
type: gnfs
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [2200000, 4300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 766054 x 766302
Total sieving time: 28.49 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.49 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4400000,4400000,27,27,53,53,2.5,2.5,100000
total time: 29.33 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS & Msieve 1.41
execution environment 実行環境
Intel Core2 Q9550 @ 3.4GHz in Vista 64bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e63058550Serge BatalovFebruary 15, 2009 21:51:50 UTC 2009 年 2 月 16 日 (月) 6 時 51 分 50 秒 (日本時間)
2508Karsten BonathApril 1, 2009 05:04:16 UTC 2009 年 4 月 1 日 (水) 14 時 4 分 16 秒 (日本時間)

43×10178-619

c128

name 名前Warut Roonguthai
date 日付December 27, 2011 08:51:02 UTC 2011 年 12 月 27 日 (火) 17 時 51 分 2 秒 (日本時間)
composite number 合成数
67836359323973431551435782739459668537959300928114729276166065328605756630856992218708480423442184907796763169764564360869072917<128>
prime factors 素因数
14773802844750120975082067814541002415230026183<47>
4591665398328983347409739836907052594238193525495687464653074963943716754864037699<82>
factorization results 素因数分解の結果
N = 67836359323973431551435782739459668537959300928114729276166065328605756630856992218708480423442184907796763169764564360869072917 (128 digits)
Divisors found:
r1=14773802844750120975082067814541002415230026183 (pp47)
r2=4591665398328983347409739836907052594238193525495687464653074963943716754864037699 (pp82)
Version: Msieve v. 1.48
Total time: 38.90 hours.
Factorization parameters were as follows:
n: 67836359323973431551435782739459668537959300928114729276166065328605756630856992218708480423442184907796763169764564360869072917
Y0: -6831204715914940049838219
Y1: 57032459009677
c0: -242783972501490134315712729440
c1: 73348152255691724635293264
c2: -1265936277209406220682
c3: -20000399199981825
c4: 14070122026
c5: 4560
skew: 269155.27 
type: gnfs
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19542884
Relations: 2387136 relations
Pruned matrix : 1331153 x 1331378
Polynomial selection time: 0.00 hours.
Total sieving time: 36.19 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.46 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: gnfs,127,5,65,2000,1e-05,0.28,250,20,50000,3600,6400000,6400000,28,28,55,55,2.5,2.5,100000
total time: 38.90 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e61320550Serge BatalovFebruary 15, 2009 21:51:51 UTC 2009 年 2 月 16 日 (月) 6 時 51 分 51 秒 (日本時間)
770Ignacio SantosJune 24, 2011 15:46:43 UTC 2011 年 6 月 25 日 (土) 0 時 46 分 43 秒 (日本時間)
4511e6220 / 3969Ignacio SantosJune 24, 2011 15:46:43 UTC 2011 年 6 月 25 日 (土) 0 時 46 分 43 秒 (日本時間)
5043e661 / 7454Ignacio SantosJune 24, 2011 15:46:43 UTC 2011 年 6 月 25 日 (土) 0 時 46 分 43 秒 (日本時間)

43×10179-619

c178

name 名前Robert Backstrom
date 日付February 27, 2009 00:31:51 UTC 2009 年 2 月 27 日 (金) 9 時 31 分 51 秒 (日本時間)
composite number 合成数
7583774250440917107583774250440917107583774250440917107583774250440917107583774250440917107583774250440917107583774250440917107583774250440917107583774250440917107583774250440917<178>
prime factors 素因数
90888011291841593728293037617292729219<38>
509748305905847001126736992629137395340449583<45>
163690322664170779588161072669009425584870041615565614512563841959454808119330543582803439622121<96>
factorization results 素因数分解の結果
Number: n
N=7583774250440917107583774250440917107583774250440917107583774250440917107583774250440917107583774250440917107583774250440917107583774250440917107583774250440917107583774250440917
  ( 178 digits)
SNFS difficulty: 181 digits.
Divisors found:

Fri Feb 27 08:19:29 2009  prp38 factor: 90888011291841593728293037617292729219
Fri Feb 27 08:19:29 2009  prp45 factor: 509748305905847001126736992629137395340449583
Fri Feb 27 08:19:29 2009  prp96 factor: 163690322664170779588161072669009425584870041615565614512563841959454808119330543582803439622121
Fri Feb 27 08:19:29 2009  elapsed time 03:37:09 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20050930-k8
Total time: 8.15 hours.
Scaled time: 16.43 units (timescale=2.016).
Factorization parameters were as follows:
name: KA_4_7_178_1
n: 7583774250440917107583774250440917107583774250440917107583774250440917107583774250440917107583774250440917107583774250440917107583774250440917107583774250440917107583774250440917
deg: 5
c5: 43
c0: -610
m: 1000000000000000000000000000000000000
skew: 1.70
type: snfs
rlim: 8000000
alim: 8000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [4000000, 5599990)
Primes: RFBsize:539777, AFBsize:539266, largePrimes:30064188 encountered
Relations: rels:23614284, finalFF:235540
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3257735 hash collisions in 34545968 relations
Msieve: matrix is 1564511 x 1564759 (427.1 MB)

Total sieving time: 7.71 hours.
Total relation processing time: 0.44 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,8000000,8000000,29,29,58,58,2.5,2.5,100000
total time: 8.15 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 3368976k/3407296k available (2745k kernel code, 36940k reserved, 1424k data, 412k init, 2489792k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.99 BogoMIPS (lpj=2830498)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830454)
Total of 4 processors activated (22643.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e6550 / 2318Serge BatalovFebruary 15, 2009 21:51:51 UTC 2009 年 2 月 16 日 (月) 6 時 51 分 51 秒 (日本時間)

43×10181-619

c138

name 名前Serge Batalov
date 日付February 15, 2009 20:37:46 UTC 2009 年 2 月 16 日 (月) 5 時 37 分 46 秒 (日本時間)
composite number 合成数
958837967348120106796712873799118559416140917767370218829366763460437500337714799329713559176675080038914241999954766168472461343748972893<138>
prime factors 素因数
787520244228026613351141308129216378279<39>
1217540722763297522505208509838978461879989223390529575643052343951874281431929038985853638287595867<100>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=4086981410
Step 1 took 11891ms
Step 2 took 13652ms
********** Factor found in step 2: 787520244228026613351141308129216378279
Found probable prime factor of 39 digits: 787520244228026613351141308129216378279
Probable prime cofactor 1217540722763297522505208509838978461879989223390529575643052343951874281431929038985853638287595867 has 100 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)

43×10182-619

c179

name 名前Robert Backstrom
date 日付July 22, 2009 22:16:13 UTC 2009 年 7 月 23 日 (木) 7 時 16 分 13 秒 (日本時間)
composite number 合成数
76237079587965179157137031718171019272024537701895289257663599453929755509458716734925447227984327074800985763168625782316543446270588443877098735882843111182029324681311277768913<179>
prime factors 素因数
2548035129424789240102727461554777927306120058219282754067737790435073236169501864294189<88>
29919948397719090871041566799694898064009331023404415989596038975250131952057312120806299317<92>
factorization results 素因数分解の結果
Number: n
N=76237079587965179157137031718171019272024537701895289257663599453929755509458716734925447227984327074800985763168625782316543446270588443877098735882843111182029324681311277768913
  ( 179 digits)
SNFS difficulty: 184 digits.
Divisors found:

Thu Jul 23 08:02:02 2009  prp88 factor: 2548035129424789240102727461554777927306120058219282754067737790435073236169501864294189
Thu Jul 23 08:02:02 2009  prp92 factor: 29919948397719090871041566799694898064009331023404415989596038975250131952057312120806299317
Thu Jul 23 08:02:02 2009  elapsed time 03:04:57 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 225.40 hours.
Scaled time: 571.17 units (timescale=2.534).
Factorization parameters were as follows:
name: KA_4_7_181_1
n: 76237079587965179157137031718171019272024537701895289257663599453929755509458716734925447227984327074800985763168625782316543446270588443877098735882843111182029324681311277768913
m: 2000000000000000000000000000000000000
deg: 5
c5: 1075
c0: -488
skew: 0.85
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [4200000, 8000023)
Primes: RFBsize:564877, AFBsize:563787, largePrimes:21426695 encountered
Relations: rels:21796035, finalFF:1216407
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2437177 hash collisions in 23571532 relations
Msieve: matrix is 1477220 x 1477468 (396.0 MB)

Total sieving time: 224.66 hours.
Total relation processing time: 0.74 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,56,56,2.5,2.5,100000
total time: 225.40 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e6550 / 2318Serge BatalovFebruary 15, 2009 21:51:52 UTC 2009 年 2 月 16 日 (月) 6 時 51 分 52 秒 (日本時間)

43×10183-619

c167

name 名前matsui
date 日付November 1, 2010 00:16:06 UTC 2010 年 11 月 1 日 (月) 9 時 16 分 6 秒 (日本時間)
composite number 合成数
27175155836698443599428779533065176225078959596422899427276820963915069567243745793564460600650164957499856178843079129503286868775440367599999864111530936114746447171<167>
prime factors 素因数
231829705641576202098203483508386456551988472240090609288938813085886513<72>
117220335338358240348738180495336373170942723310834544170856468242949113652870960285934804511667<96>
factorization results 素因数分解の結果
N=27175155836698443599428779533065176225078959596422899427276820963915069567243745793564460600650164957499856178843079129503286868775440367599999864111530936114746447171
  ( 167 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=231829705641576202098203483508386456551988472240090609288938813085886513 (pp72)
 r2=117220335338358240348738180495336373170942723310834544170856468242949113652870960285934804511667 (pp96)
Version: Msieve v. 1.48
Total time:
Scaled time: 113.94 units (timescale=1.301).
Factorization parameters were as follows:
n: 27175155836698443599428779533065176225078959596422899427276820963915069567243745793564460600650164957499856178843079129503286868775440367599999864111530936114746447171
m: 1000000000000000000000000000000000000
deg: 5
c5: 43000
c0: -61
skew: 0.27
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 500000
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 14700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1925184 x 1925410
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e6550 / 2318Serge BatalovFebruary 15, 2009 21:51:52 UTC 2009 年 2 月 16 日 (月) 6 時 51 分 52 秒 (日本時間)

43×10185-619

c166

name 名前Jo Yeong Uk
date 日付November 12, 2014 12:03:27 UTC 2014 年 11 月 12 日 (水) 21 時 3 分 27 秒 (日本時間)
composite number 合成数
7048512417671057282470119984872136150763611834269301469691055734547116048933705877420445079749351898679787559913163153294499847743692945441808918916927899720512952731<166>
prime factors 素因数
192952746119677489613910741292812981102150713<45>
36529733623481422058367576208306556955619035703184111780066349405490166572567324434570712164825670003468349750214492623987<122>
factorization results 素因数分解の結果
Number: 47771_185
N=7048512417671057282470119984872136150763611834269301469691055734547116048933705877420445079749351898679787559913163153294499847743692945441808918916927899720512952731
  ( 166 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=192952746119677489613910741292812981102150713
 r2=36529733623481422058367576208306556955619035703184111780066349405490166572567324434570712164825670003468349750214492623987
Version: 
Total time: 85.40 hours.
Scaled time: 448.59 units (timescale=5.253).
Factorization parameters were as follows:
n: 7048512417671057282470119984872136150763611834269301469691055734547116048933705877420445079749351898679787559913163153294499847743692945441808918916927899720512952731
m: 10000000000000000000000000000000000000
deg: 5
c5: 43
c0: -61
skew: 1.07
# Murphy_E = 5.157e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 8000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20573108
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1763820 x 1764067
Total sieving time: 79.02 hours.
Total relation processing time: 2.04 hours.
Matrix solve time: 4.08 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 85.40 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e62050550Serge BatalovFebruary 15, 2009 21:51:53 UTC 2009 年 2 月 16 日 (月) 6 時 51 分 53 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:11:38 UTC 2013 年 10 月 13 日 (日) 23 時 11 分 38 秒 (日本時間)
4511e61500 / 4022Dmitry DomanovNovember 8, 2013 05:42:58 UTC 2013 年 11 月 8 日 (金) 14 時 42 分 58 秒 (日本時間)

43×10186-619

c159

name 名前LegionMammal978
date 日付February 23, 2017 00:13:34 UTC 2017 年 2 月 23 日 (木) 9 時 13 分 34 秒 (日本時間)
composite number 合成数
525450322232180439283941208527362673250828113361730679552820218122101734567056602325921169928229993921653173300391017504967524986172460826983485250828441032821<159>
prime factors 素因数
2500170271787408333659234138822019546346058375586942552055479<61>
210165814769299016788569841461837367403973578448494339924772896160331885115474944721280555542107699<99>
factorization results 素因数分解の結果
Wed Feb 22 15:17:55 2017  Msieve v. 1.53 (SVN Unversioned directory)
Wed Feb 22 15:17:55 2017  random seeds: 187876bf b24b9c4d
Wed Feb 22 15:17:55 2017  factoring 525450322232180439283941208527362673250828113361730679552820218122101734567056602325921169928229993921653173300391017504967524986172460826983485250828441032821 (159 digits)
Wed Feb 22 15:17:56 2017  no P-1/P+1/ECM available, skipping
Wed Feb 22 15:17:56 2017  commencing number field sieve (159-digit input)
Wed Feb 22 15:17:56 2017  R0: -10000000000000000000000000000000000000
Wed Feb 22 15:17:56 2017  R1: 1
Wed Feb 22 15:17:56 2017  A0: -61
Wed Feb 22 15:17:56 2017  A1: 0
Wed Feb 22 15:17:56 2017  A2: 0
Wed Feb 22 15:17:56 2017  A3: 0
Wed Feb 22 15:17:56 2017  A4: 0
Wed Feb 22 15:17:56 2017  A5: 430
Wed Feb 22 15:17:56 2017  skew 0.68, size 2.886e-13, alpha 0.510, combined = 3.954e-11 rroots = 1
Wed Feb 22 15:17:56 2017  
Wed Feb 22 15:17:56 2017  commencing relation filtering
Wed Feb 22 15:17:56 2017  estimated available RAM is 15929.4 MB
Wed Feb 22 15:17:56 2017  commencing duplicate removal, pass 1
Wed Feb 22 15:20:40 2017  found 3099012 hash collisions in 21755831 relations
Wed Feb 22 15:21:00 2017  added 434 free relations
Wed Feb 22 15:21:00 2017  commencing duplicate removal, pass 2
Wed Feb 22 15:21:06 2017  found 2766548 duplicates and 18989717 unique relations
Wed Feb 22 15:21:06 2017  memory use: 98.6 MB
Wed Feb 22 15:21:06 2017  reading ideals above 720000
Wed Feb 22 15:21:06 2017  commencing singleton removal, initial pass
Wed Feb 22 15:23:05 2017  memory use: 689.0 MB
Wed Feb 22 15:23:05 2017  reading all ideals from disk
Wed Feb 22 15:23:05 2017  memory use: 602.3 MB
Wed Feb 22 15:23:06 2017  keeping 21249538 ideals with weight <= 200, target excess is 116145
Wed Feb 22 15:23:07 2017  commencing in-memory singleton removal
Wed Feb 22 15:23:07 2017  begin with 18989717 relations and 21249538 unique ideals
Wed Feb 22 15:23:16 2017  reduce to 7444597 relations and 7290891 ideals in 22 passes
Wed Feb 22 15:23:16 2017  max relations containing the same ideal: 109
Wed Feb 22 15:23:18 2017  removing 187642 relations and 178153 ideals in 9489 cliques
Wed Feb 22 15:23:18 2017  commencing in-memory singleton removal
Wed Feb 22 15:23:18 2017  begin with 7256955 relations and 7290891 unique ideals
Wed Feb 22 15:23:21 2017  reduce to 7252557 relations and 7108329 ideals in 8 passes
Wed Feb 22 15:23:21 2017  max relations containing the same ideal: 105
Wed Feb 22 15:23:23 2017  removing 134869 relations and 125380 ideals in 9489 cliques
Wed Feb 22 15:23:23 2017  commencing in-memory singleton removal
Wed Feb 22 15:23:23 2017  begin with 7117688 relations and 7108329 unique ideals
Wed Feb 22 15:23:25 2017  reduce to 7115153 relations and 6980408 ideals in 7 passes
Wed Feb 22 15:23:25 2017  max relations containing the same ideal: 105
Wed Feb 22 15:23:27 2017  relations with 0 large ideals: 2902
Wed Feb 22 15:23:27 2017  relations with 1 large ideals: 976
Wed Feb 22 15:23:27 2017  relations with 2 large ideals: 17479
Wed Feb 22 15:23:27 2017  relations with 3 large ideals: 135908
Wed Feb 22 15:23:27 2017  relations with 4 large ideals: 574802
Wed Feb 22 15:23:27 2017  relations with 5 large ideals: 1397931
Wed Feb 22 15:23:27 2017  relations with 6 large ideals: 2111046
Wed Feb 22 15:23:27 2017  relations with 7+ large ideals: 2874109
Wed Feb 22 15:23:27 2017  commencing 2-way merge
Wed Feb 22 15:23:29 2017  reduce to 4088406 relation sets and 3953663 unique ideals
Wed Feb 22 15:23:29 2017  ignored 2 oversize relation sets
Wed Feb 22 15:23:29 2017  commencing full merge
Wed Feb 22 15:24:11 2017  memory use: 469.9 MB
Wed Feb 22 15:24:12 2017  found 2081948 cycles, need 2075863
Wed Feb 22 15:24:12 2017  weight of 2075863 cycles is about 145355894 (70.02/cycle)
Wed Feb 22 15:24:12 2017  distribution of cycle lengths:
Wed Feb 22 15:24:12 2017  1 relations: 320806
Wed Feb 22 15:24:12 2017  2 relations: 277278
Wed Feb 22 15:24:12 2017  3 relations: 255687
Wed Feb 22 15:24:12 2017  4 relations: 219215
Wed Feb 22 15:24:12 2017  5 relations: 182958
Wed Feb 22 15:24:12 2017  6 relations: 151355
Wed Feb 22 15:24:12 2017  7 relations: 125594
Wed Feb 22 15:24:12 2017  8 relations: 101701
Wed Feb 22 15:24:12 2017  9 relations: 81509
Wed Feb 22 15:24:12 2017  10+ relations: 359760
Wed Feb 22 15:24:12 2017  heaviest cycle: 28 relations
Wed Feb 22 15:24:12 2017  commencing cycle optimization
Wed Feb 22 15:24:14 2017  start with 11861952 relations
Wed Feb 22 15:24:25 2017  pruned 240822 relations
Wed Feb 22 15:24:25 2017  memory use: 404.2 MB
Wed Feb 22 15:24:25 2017  distribution of cycle lengths:
Wed Feb 22 15:24:25 2017  1 relations: 320806
Wed Feb 22 15:24:25 2017  2 relations: 282918
Wed Feb 22 15:24:25 2017  3 relations: 263764
Wed Feb 22 15:24:25 2017  4 relations: 222788
Wed Feb 22 15:24:25 2017  5 relations: 185707
Wed Feb 22 15:24:25 2017  6 relations: 151492
Wed Feb 22 15:24:25 2017  7 relations: 125092
Wed Feb 22 15:24:25 2017  8 relations: 100315
Wed Feb 22 15:24:25 2017  9 relations: 79961
Wed Feb 22 15:24:25 2017  10+ relations: 343020
Wed Feb 22 15:24:25 2017  heaviest cycle: 28 relations
Wed Feb 22 15:24:27 2017  RelProcTime: 391
Wed Feb 22 15:24:27 2017  elapsed time 00:06:32
Wed Feb 22 15:24:27 2017 LatSieveTime: 1195.77
Wed Feb 22 15:24:27 2017 -> Running matrix solving step ...
Wed Feb 22 15:24:27 2017 -> ./msieve -s 47771_186/47771_186.dat -l 47771_186/47771_186.log -i 47771_186/47771_186.ini -nf 47771_186/47771_186.fb -t 6 -nc2
Wed Feb 22 15:24:27 2017  
Wed Feb 22 15:24:27 2017  
Wed Feb 22 15:24:27 2017  Msieve v. 1.53 (SVN Unversioned directory)
Wed Feb 22 15:24:27 2017  random seeds: 099ff88b 982dfb0c
Wed Feb 22 15:24:27 2017  factoring 525450322232180439283941208527362673250828113361730679552820218122101734567056602325921169928229993921653173300391017504967524986172460826983485250828441032821 (159 digits)
Wed Feb 22 15:24:28 2017  no P-1/P+1/ECM available, skipping
Wed Feb 22 15:24:28 2017  commencing number field sieve (159-digit input)
Wed Feb 22 15:24:28 2017  R0: -10000000000000000000000000000000000000
Wed Feb 22 15:24:28 2017  R1: 1
Wed Feb 22 15:24:28 2017  A0: -61
Wed Feb 22 15:24:28 2017  A1: 0
Wed Feb 22 15:24:28 2017  A2: 0
Wed Feb 22 15:24:28 2017  A3: 0
Wed Feb 22 15:24:28 2017  A4: 0
Wed Feb 22 15:24:28 2017  A5: 430
Wed Feb 22 15:24:28 2017  skew 0.68, size 2.886e-13, alpha 0.510, combined = 3.954e-11 rroots = 1
Wed Feb 22 15:24:28 2017  
Wed Feb 22 15:24:28 2017  commencing linear algebra
Wed Feb 22 15:24:28 2017  read 2075863 cycles
Wed Feb 22 15:24:31 2017  cycles contain 6910838 unique relations
Wed Feb 22 15:25:08 2017  read 6910838 relations
Wed Feb 22 15:25:12 2017  using 20 quadratic characters above 4294917295
Wed Feb 22 15:25:39 2017  building initial matrix
Wed Feb 22 15:26:19 2017  memory use: 853.5 MB
Wed Feb 22 15:26:19 2017  read 2075863 cycles
Wed Feb 22 15:26:20 2017  matrix is 2075684 x 2075863 (623.3 MB) with weight 185278733 (89.25/col)
Wed Feb 22 15:26:20 2017  sparse part has weight 140549475 (67.71/col)
Wed Feb 22 15:26:31 2017  filtering completed in 2 passes
Wed Feb 22 15:26:32 2017  matrix is 2073061 x 2073238 (623.0 MB) with weight 185182429 (89.32/col)
Wed Feb 22 15:26:32 2017  sparse part has weight 140516296 (67.78/col)
Wed Feb 22 15:26:36 2017  matrix starts at (0, 0)
Wed Feb 22 15:26:36 2017  matrix is 2073061 x 2073238 (623.0 MB) with weight 185182429 (89.32/col)
Wed Feb 22 15:26:36 2017  sparse part has weight 140516296 (67.78/col)
Wed Feb 22 15:26:36 2017  saving the first 48 matrix rows for later
Wed Feb 22 15:26:37 2017  matrix includes 64 packed rows
Wed Feb 22 15:26:37 2017  matrix is 2073013 x 2073238 (592.2 MB) with weight 147425924 (71.11/col)
Wed Feb 22 15:26:37 2017  sparse part has weight 134499912 (64.87/col)
Wed Feb 22 15:26:37 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Wed Feb 22 15:26:42 2017  commencing Lanczos iteration (6 threads)
Wed Feb 22 15:26:42 2017  memory use: 474.0 MB
Wed Feb 22 15:26:47 2017  linear algebra at 0.1%, ETA 1h53m
Wed Feb 22 15:26:48 2017  checkpointing every 1220000 dimensions
Wed Feb 22 17:19:22 2017  lanczos halted after 32786 iterations (dim = 2073011)
Wed Feb 22 17:19:24 2017  recovered 36 nontrivial dependencies
Wed Feb 22 17:19:24 2017  BLanczosTime: 6896
Wed Feb 22 17:19:24 2017  elapsed time 01:54:57
Wed Feb 22 17:19:24 2017 -> Running square root step ...
Wed Feb 22 17:19:24 2017 -> ./msieve -s 47771_186/47771_186.dat -l 47771_186/47771_186.log -i 47771_186/47771_186.ini -nf 47771_186/47771_186.fb -t 6 -nc3
Wed Feb 22 17:19:24 2017  
Wed Feb 22 17:19:24 2017  
Wed Feb 22 17:19:24 2017  Msieve v. 1.53 (SVN Unversioned directory)
Wed Feb 22 17:19:24 2017  random seeds: 2e6cc99e ad85f348
Wed Feb 22 17:19:24 2017  factoring 525450322232180439283941208527362673250828113361730679552820218122101734567056602325921169928229993921653173300391017504967524986172460826983485250828441032821 (159 digits)
Wed Feb 22 17:19:25 2017  no P-1/P+1/ECM available, skipping
Wed Feb 22 17:19:25 2017  commencing number field sieve (159-digit input)
Wed Feb 22 17:19:25 2017  R0: -10000000000000000000000000000000000000
Wed Feb 22 17:19:25 2017  R1: 1
Wed Feb 22 17:19:25 2017  A0: -61
Wed Feb 22 17:19:25 2017  A1: 0
Wed Feb 22 17:19:25 2017  A2: 0
Wed Feb 22 17:19:25 2017  A3: 0
Wed Feb 22 17:19:25 2017  A4: 0
Wed Feb 22 17:19:25 2017  A5: 430
Wed Feb 22 17:19:25 2017  skew 0.68, size 2.886e-13, alpha 0.510, combined = 3.954e-11 rroots = 1
Wed Feb 22 17:19:25 2017  
Wed Feb 22 17:19:25 2017  commencing square root phase
Wed Feb 22 17:19:25 2017  reading relations for dependency 1
Wed Feb 22 17:19:25 2017  read 1037681 cycles
Wed Feb 22 17:19:26 2017  cycles contain 3456946 unique relations
Wed Feb 22 17:19:45 2017  read 3456946 relations
Wed Feb 22 17:19:56 2017  multiplying 3456946 relations
Wed Feb 22 17:21:41 2017  multiply complete, coefficients have about 107.15 million bits
Wed Feb 22 17:21:42 2017  initial square root is modulo 49096981
Wed Feb 22 17:23:54 2017  GCD is 1, no factor found
Wed Feb 22 17:23:54 2017  reading relations for dependency 2
Wed Feb 22 17:23:55 2017  read 1036761 cycles
Wed Feb 22 17:23:56 2017  cycles contain 3458196 unique relations
Wed Feb 22 17:24:14 2017  read 3458196 relations
Wed Feb 22 17:24:25 2017  multiplying 3458196 relations
Wed Feb 22 17:26:11 2017  multiply complete, coefficients have about 107.19 million bits
Wed Feb 22 17:26:11 2017  initial square root is modulo 49392011
Wed Feb 22 17:28:23 2017  sqrtTime: 538
Wed Feb 22 17:28:23 2017  p61 factor: 2500170271787408333659234138822019546346058375586942552055479
Wed Feb 22 17:28:23 2017  p99 factor: 210165814769299016788569841461837367403973578448494339924772896160331885115474944721280555542107699
Wed Feb 22 17:28:23 2017  elapsed time 00:08:59
software ソフトウェア
Msieve 1.53 snfs
execution environment 実行環境
64-bit Ubuntu 16.04.1 LTS, Core i7-2600K 3.4GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e62050550Serge BatalovFebruary 15, 2009 21:51:53 UTC 2009 年 2 月 16 日 (月) 6 時 51 分 53 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:11:47 UTC 2013 年 10 月 13 日 (日) 23 時 11 分 47 秒 (日本時間)
4511e61500 / 4022Dmitry DomanovNovember 8, 2013 05:43:09 UTC 2013 年 11 月 8 日 (金) 14 時 43 分 9 秒 (日本時間)

43×10188-619

c180

name 名前Serge Batalov
date 日付February 15, 2009 22:09:34 UTC 2009 年 2 月 16 日 (月) 7 時 9 分 34 秒 (日本時間)
composite number 合成数
909938107061676825694998510783655239629848410492594247262136905934360768616279888089200787400424258811708317436106214115187485912901647450201178671059319660231320068248413728757383<180>
prime factors 素因数
19525460771553668149596808042841<32>
composite cofactor 合成数の残り
46602644501345193158597898914670594145834189426831461696667881665565602998778190931880816833841590944874547410124468413046847275701045361362861642463<149>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=637296109
Step 1 took 16324ms
********** Factor found in step 1: 19525460771553668149596808042841
Found probable prime factor of 32 digits: 19525460771553668149596808042841
Composite cofactor has 149 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e62050550Serge BatalovFebruary 15, 2009 21:51:53 UTC 2009 年 2 月 16 日 (月) 6 時 51 分 53 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:11:55 UTC 2013 年 10 月 13 日 (日) 23 時 11 分 55 秒 (日本時間)
4511e61500 / 4022Dmitry DomanovNovember 8, 2013 05:43:18 UTC 2013 年 11 月 8 日 (金) 14 時 43 分 18 秒 (日本時間)

43×10190-619

c155

name 名前Serge Batalov
date 日付February 15, 2009 18:54:48 UTC 2009 年 2 月 16 日 (月) 3 時 54 分 48 秒 (日本時間)
composite number 合成数
73119305941174597844641521500063425510238127427115362248774620567494238792957053852869361928537078232986058836097473219475632845312132049047786490252936561<155>
prime factors 素因数
83298832294425500958607625722801434401<38>
877795089404486954963782457552404091105528419858714925670383392791228993400713983819414032809076686946161566570798161<117>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=2603822046
Step 1 took 14402ms
Step 2 took 15584ms
********** Factor found in step 2: 83298832294425500958607625722801434401
Found probable prime factor of 38 digits: 83298832294425500958607625722801434401
Probable prime cofactor has 117 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)

43×10191-619

c159

name 名前Dmitry Domanov
date 日付October 23, 2013 06:55:05 UTC 2013 年 10 月 23 日 (水) 15 時 55 分 5 秒 (日本時間)
composite number 合成数
103000067729330984847364818964394992368382212281984759903723759766540945709856963474011763519606519561141761266884084990677545568748884816554372600776275877393<159>
prime factors 素因数
3730883009928896396583260253619103239202662931088247<52>
18315905451141168264148101559066830285421328533277683<53>
1507292319945165649937319599438268700510845410013909293<55>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=212929403
Step 1 took 71260ms
Step 2 took 25984ms
********** Factor found in step 2: 18315905451141168264148101559066830285421328533277683
Found probable prime factor of 53 digits: 18315905451141168264148101559066830285421328533277683
Composite cofactor 5623531307479728739636274599206040261743493280375509321583335134681718974824843433443796209985015236379371 has 106 digits

GNFS by YAFU:
Wed Oct 23 10:21:29 2013  commencing relation filtering
Wed Oct 23 10:21:29 2013  estimated available RAM is 48157.5 MB
Wed Oct 23 10:21:29 2013  commencing duplicate removal, pass 1
Wed Oct 23 10:22:38 2013  found 560801 hash collisions in 5979203 relations
Wed Oct 23 10:22:45 2013  added 1184 free relations
Wed Oct 23 10:22:45 2013  commencing duplicate removal, pass 2
Wed Oct 23 10:22:47 2013  found 374391 duplicates and 5605996 unique relations
Wed Oct 23 10:22:47 2013  memory use: 24.6 MB
Wed Oct 23 10:22:47 2013  reading ideals above 100000
Wed Oct 23 10:22:47 2013  commencing singleton removal, initial pass
Wed Oct 23 10:24:01 2013  memory use: 172.2 MB
Wed Oct 23 10:24:01 2013  reading all ideals from disk
Wed Oct 23 10:24:01 2013  memory use: 181.5 MB
Wed Oct 23 10:24:01 2013  keeping 6000733 ideals with weight <= 200, target excess is 26689
Wed Oct 23 10:24:02 2013  commencing in-memory singleton removal
Wed Oct 23 10:24:02 2013  begin with 5605996 relations and 6000733 unique ideals
Wed Oct 23 10:24:05 2013  reduce to 2360869 relations and 2168452 ideals in 15 passes
Wed Oct 23 10:24:05 2013  max relations containing the same ideal: 115
Wed Oct 23 10:24:06 2013  removing 534708 relations and 453979 ideals in 80729 cliques
Wed Oct 23 10:24:06 2013  commencing in-memory singleton removal
Wed Oct 23 10:24:06 2013  begin with 1826161 relations and 2168452 unique ideals
Wed Oct 23 10:24:07 2013  reduce to 1740532 relations and 1625013 ideals in 9 passes
Wed Oct 23 10:24:07 2013  max relations containing the same ideal: 99
Wed Oct 23 10:24:08 2013  removing 397701 relations and 316972 ideals in 80729 cliques
Wed Oct 23 10:24:08 2013  commencing in-memory singleton removal
Wed Oct 23 10:24:08 2013  begin with 1342831 relations and 1625013 unique ideals
Wed Oct 23 10:24:09 2013  reduce to 1273914 relations and 1235969 ideals in 9 passes
Wed Oct 23 10:24:09 2013  max relations containing the same ideal: 77
Wed Oct 23 10:24:09 2013  relations with 0 large ideals: 500
Wed Oct 23 10:24:09 2013  relations with 1 large ideals: 264
Wed Oct 23 10:24:09 2013  relations with 2 large ideals: 3555
Wed Oct 23 10:24:09 2013  relations with 3 large ideals: 28318
Wed Oct 23 10:24:09 2013  relations with 4 large ideals: 120177
Wed Oct 23 10:24:09 2013  relations with 5 large ideals: 299174
Wed Oct 23 10:24:09 2013  relations with 6 large ideals: 384944
Wed Oct 23 10:24:09 2013  relations with 7+ large ideals: 436982
Wed Oct 23 10:24:09 2013  commencing 2-way merge
Wed Oct 23 10:24:10 2013  reduce to 757626 relation sets and 719681 unique ideals
Wed Oct 23 10:24:10 2013  commencing full merge
Wed Oct 23 10:24:21 2013  memory use: 82.0 MB
Wed Oct 23 10:24:21 2013  found 356669 cycles, need 347881
Wed Oct 23 10:24:22 2013  weight of 347881 cycles is about 24394968 (70.12/cycle)
Wed Oct 23 10:24:22 2013  distribution of cycle lengths:
Wed Oct 23 10:24:22 2013  1 relations: 36435
Wed Oct 23 10:24:22 2013  2 relations: 35690
Wed Oct 23 10:24:22 2013  3 relations: 35151
Wed Oct 23 10:24:22 2013  4 relations: 33357
Wed Oct 23 10:24:22 2013  5 relations: 30327
Wed Oct 23 10:24:22 2013  6 relations: 27969
Wed Oct 23 10:24:22 2013  7 relations: 24874
Wed Oct 23 10:24:22 2013  8 relations: 21953
Wed Oct 23 10:24:22 2013  9 relations: 19180
Wed Oct 23 10:24:22 2013  10+ relations: 82945
Wed Oct 23 10:24:22 2013  heaviest cycle: 24 relations
Wed Oct 23 10:24:22 2013  commencing cycle optimization
Wed Oct 23 10:24:22 2013  start with 2281183 relations
Wed Oct 23 10:24:26 2013  pruned 58338 relations
Wed Oct 23 10:24:26 2013  memory use: 72.9 MB
Wed Oct 23 10:24:26 2013  distribution of cycle lengths:
Wed Oct 23 10:24:26 2013  1 relations: 36435
Wed Oct 23 10:24:26 2013  2 relations: 36418
Wed Oct 23 10:24:26 2013  3 relations: 36390
Wed Oct 23 10:24:26 2013  4 relations: 34192
Wed Oct 23 10:24:26 2013  5 relations: 31211
Wed Oct 23 10:24:26 2013  6 relations: 28405
Wed Oct 23 10:24:26 2013  7 relations: 25254
Wed Oct 23 10:24:26 2013  8 relations: 22337
Wed Oct 23 10:24:26 2013  9 relations: 19212
Wed Oct 23 10:24:26 2013  10+ relations: 78027
Wed Oct 23 10:24:26 2013  heaviest cycle: 23 relations
Wed Oct 23 10:24:27 2013  RelProcTime: 178
Wed Oct 23 10:24:27 2013  
Wed Oct 23 10:24:27 2013  commencing linear algebra
Wed Oct 23 10:24:27 2013  read 347881 cycles
Wed Oct 23 10:24:27 2013  cycles contain 1197316 unique relations
Wed Oct 23 10:24:42 2013  read 1197316 relations
Wed Oct 23 10:24:43 2013  using 20 quadratic characters above 67108754
Wed Oct 23 10:24:49 2013  building initial matrix
Wed Oct 23 10:25:02 2013  memory use: 147.4 MB
Wed Oct 23 10:25:02 2013  read 347881 cycles
Wed Oct 23 10:25:02 2013  matrix is 347689 x 347881 (103.5 MB) with weight 32654874 (93.87/col)
Wed Oct 23 10:25:02 2013  sparse part has weight 23310569 (67.01/col)
Wed Oct 23 10:25:05 2013  filtering completed in 2 passes
Wed Oct 23 10:25:05 2013  matrix is 346683 x 346874 (103.4 MB) with weight 32603932 (93.99/col)
Wed Oct 23 10:25:05 2013  sparse part has weight 23289151 (67.14/col)
Wed Oct 23 10:25:06 2013  matrix starts at (0, 0)
Wed Oct 23 10:25:06 2013  matrix is 346683 x 346874 (103.4 MB) with weight 32603932 (93.99/col)
Wed Oct 23 10:25:06 2013  sparse part has weight 23289151 (67.14/col)
Wed Oct 23 10:25:06 2013  saving the first 48 matrix rows for later
Wed Oct 23 10:25:06 2013  matrix includes 64 packed rows
Wed Oct 23 10:25:06 2013  matrix is 346635 x 346874 (99.4 MB) with weight 26032470 (75.05/col)
Wed Oct 23 10:25:06 2013  sparse part has weight 22587244 (65.12/col)
Wed Oct 23 10:25:06 2013  using block size 138654 for processor cache size 12288 kB
Wed Oct 23 10:25:07 2013  commencing Lanczos iteration (16 threads)
Wed Oct 23 10:25:07 2013  memory use: 143.4 MB
Wed Oct 23 10:25:23 2013  linear algebra at 3.5%, ETA 0h 7m
Wed Oct 23 10:32:00 2013  lanczos halted after 5481 iterations (dim = 346635)
Wed Oct 23 10:32:01 2013  recovered 33 nontrivial dependencies
Wed Oct 23 10:32:01 2013  BLanczosTime: 454
Wed Oct 23 10:32:01 2013  
Wed Oct 23 10:32:01 2013  commencing square root phase
Wed Oct 23 10:32:01 2013  reading relations for dependency 1
Wed Oct 23 10:32:01 2013  read 173401 cycles
Wed Oct 23 10:32:01 2013  cycles contain 599046 unique relations
Wed Oct 23 10:32:09 2013  read 599046 relations
Wed Oct 23 10:32:11 2013  multiplying 599046 relations
Wed Oct 23 10:32:34 2013  multiply complete, coefficients have about 26.61 million bits
Wed Oct 23 10:32:35 2013  initial square root is modulo 44006227
Wed Oct 23 10:33:10 2013  GCD is 1, no factor found
Wed Oct 23 10:33:10 2013  reading relations for dependency 2
Wed Oct 23 10:33:10 2013  read 173299 cycles
Wed Oct 23 10:33:11 2013  cycles contain 597986 unique relations
Wed Oct 23 10:33:18 2013  read 597986 relations
Wed Oct 23 10:33:20 2013  multiplying 597986 relations
Wed Oct 23 10:33:44 2013  multiply complete, coefficients have about 26.57 million bits
Wed Oct 23 10:33:44 2013  initial square root is modulo 42676741
Wed Oct 23 10:34:20 2013  sqrtTime: 139

prp52 = 3730883009928896396583260253619103239202662931088247
prp55 = 1507292319945165649937319599438268700510845410013909293
NFS elapsed time = 3898.9106 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e62050 / 2318550Serge BatalovFebruary 15, 2009 21:51:53 UTC 2009 年 2 月 16 日 (月) 6 時 51 分 53 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:12:05 UTC 2013 年 10 月 13 日 (日) 23 時 12 分 5 秒 (日本時間)

43×10193-619

c172

name 名前Serge Batalov
date 日付February 15, 2009 21:43:40 UTC 2009 年 2 月 16 日 (月) 6 時 43 分 40 秒 (日本時間)
composite number 合成数
5920379449403571605649095513669912465249087310230072523456164209498665853300554819199664344059381230336445402456766757822318693734417567744998179857295904757015071698685643<172>
prime factors 素因数
71199310765325297693532708112008109<35>
83152201696408126546070047639498561500691348762681096052862159690720257463473192817296392702546939875802035388838203099768227067086826327<137>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1650842304
Step 1 took 13686ms
Step 2 took 15855ms
********** Factor found in step 2: 71199310765325297693532708112008109
Found probable prime factor of 35 digits: 71199310765325297693532708112008109
Probable prime cofactor has 137 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)

43×10194-619

c148

composite cofactor 合成数の残り
9623083978441078737908099869129401343512146315023168466413119759360926230093288675584350551009229383311525216499869599329821384120765657741008750027<148>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e62050550Serge BatalovFebruary 15, 2009 21:51:54 UTC 2009 年 2 月 16 日 (月) 6 時 51 分 54 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:12:13 UTC 2013 年 10 月 13 日 (日) 23 時 12 分 13 秒 (日本時間)
4511e61500 / 4022Dmitry DomanovNovember 8, 2013 05:43:29 UTC 2013 年 11 月 8 日 (金) 14 時 43 分 29 秒 (日本時間)

43×10195-619

c166

composite cofactor 合成数の残り
9928611287249100089429163455949813742511799434223889357360466407859069408419913681333887929278659242624038297862985463254862567592509309764716107942784010878140297291<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e62050550Serge BatalovFebruary 15, 2009 21:51:54 UTC 2009 年 2 月 16 日 (月) 6 時 51 分 54 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:12:21 UTC 2013 年 10 月 13 日 (日) 23 時 12 分 21 秒 (日本時間)
4511e61500 / 4022Dmitry DomanovNovember 8, 2013 05:43:38 UTC 2013 年 11 月 8 日 (金) 14 時 43 分 38 秒 (日本時間)

43×10197-619

c141

name 名前Dmitry Domanov
date 日付October 22, 2013 10:47:42 UTC 2013 年 10 月 22 日 (火) 19 時 47 分 42 秒 (日本時間)
composite number 合成数
279128484950642779680577381554816228131534278125812249833538269013834712900466004694466332467207753956164261617826506812764285157763488573667<141>
prime factors 素因数
22161522081363262007847471473391204609589559<44>
12595185652224490241290960933473733195006288588898251817514852763411849891599034777833221695986613<98>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1799557472
Step 1 took 60766ms
Step 2 took 22946ms
********** Factor found in step 2: 22161522081363262007847471473391204609589559
Found probable prime factor of 44 digits: 22161522081363262007847471473391204609589559

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e62050 / 2318550Serge BatalovFebruary 15, 2009 21:51:55 UTC 2009 年 2 月 16 日 (月) 6 時 51 分 55 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:12:30 UTC 2013 年 10 月 13 日 (日) 23 時 12 分 30 秒 (日本時間)

43×10198-619

c157

name 名前Dmitry Domanov
date 日付October 10, 2013 05:24:53 UTC 2013 年 10 月 10 日 (木) 14 時 24 分 53 秒 (日本時間)
composite number 合成数
9830086112348686531725292948126391835949297497348157936599859660929797632048676613741152525349931999376403272299380579333420724657540353536963091976472071369<157>
prime factors 素因数
679097381732565261514027864749024041197<39>
14475223107574671872355452870186551208355132822728445516423686716295642947381538069294450757414069416613602933430473677<119>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3253314490
Step 1 took 19412ms
Step 2 took 7919ms
********** Factor found in step 2: 679097381732565261514027864749024041197
Found probable prime factor of 39 digits: 679097381732565261514027864749024041197

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e6550 / 2318Serge BatalovFebruary 15, 2009 21:51:55 UTC 2009 年 2 月 16 日 (月) 6 時 51 分 55 秒 (日本時間)

43×10200-619

c161

composite cofactor 合成数の残り
97448165700112119571352676407617761622659686875228213173203798539558392792735148258999774960624225352393427210628589209144226071553493707188001571484976029763629<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e62050550Serge BatalovFebruary 15, 2009 21:51:55 UTC 2009 年 2 月 16 日 (月) 6 時 51 分 55 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:12:39 UTC 2013 年 10 月 13 日 (日) 23 時 12 分 39 秒 (日本時間)
4511e61500 / 4022Dmitry DomanovNovember 8, 2013 05:43:48 UTC 2013 年 11 月 8 日 (金) 14 時 43 分 48 秒 (日本時間)

43×10203-619

c166

composite cofactor 合成数の残り
2387835537705091245299654525488858984485214176547135641756316607621351413688168443812990772546639758689271885761601948232306070082387080984350060917620188325418221483<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2009 01:00:00 UTC 2009 年 2 月 15 日 (日) 10 時 0 分 0 秒 (日本時間)
403e62050550Serge BatalovFebruary 15, 2009 21:51:56 UTC 2009 年 2 月 16 日 (月) 6 時 51 分 56 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:13:32 UTC 2013 年 10 月 13 日 (日) 23 時 13 分 32 秒 (日本時間)
4511e61500 / 4022Dmitry DomanovNovember 8, 2013 05:43:57 UTC 2013 年 11 月 8 日 (金) 14 時 43 分 57 秒 (日本時間)

43×10206-619

c195

name 名前Dmitry Domanov
date 日付October 9, 2013 05:48:02 UTC 2013 年 10 月 9 日 (水) 14 時 48 分 2 秒 (日本時間)
composite number 合成数
116200296961412150758456928345162394318603395457394746836894774633045300529126217881593288145412239211404097157753557991635141576169176294975292097704306763671344712839635011053201316803539167503<195>
prime factors 素因数
9971888139737289882508720707279675809<37>
11652787850513679751703104146157539545379513239555722240988478639132072456984344331390663160717497506545859552213911893488987291831535811687878143931250158767<158>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3663651827
Step 1 took 27341ms
Step 2 took 9946ms
********** Factor found in step 2: 9971888139737289882508720707279675809
Found probable prime factor of 37 digits: 9971888139737289882508720707279675809

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)

43×10207-619

c207

name 名前Robert Backstrom
date 日付November 23, 2013 12:34:38 UTC 2013 年 11 月 23 日 (土) 21 時 34 分 38 秒 (日本時間)
composite number 合成数
367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367<207>
prime factors 素因数
28537985152044516136174109629531109889792893337878946600872436159747432158959<77>
12878322192799850967666963317261609402284268567921630539951340814850998535944108599807257945992638373600197264434201468215249401113<131>
factorization results 素因数分解の結果
Number: n
N=367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367
  ( 207 digits)
SNFS difficulty: 208 digits.
Divisors found:

Sat Nov 23 23:29:02 2013  prp77 factor: 28537985152044516136174109629531109889792893337878946600872436159747432158959
Sat Nov 23 23:29:02 2013  prp131 factor: 12878322192799850967666963317261609402284268567921630539951340814850998535944108599807257945992638373600197264434201468215249401113
Sat Nov 23 23:29:02 2013  elapsed time 24:52:43 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.785).
Factorization parameters were as follows:
#
#  43*10^207-61 - 47(206)1
#
#  c207, diff: 208.63
#
skew: 0.427
n: 367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367521367
m: 100000000000000000000000000000000000000000
deg: 5
c5: 4300
c0: -61
# Murphy_E = 4.616e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 28500000)
Primes: RFBsize:1329943, AFBsize:1328118,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 7657222 hash collisions in 50093525 relations (43984713 unique)
Msieve: matrix is 3706273 x 3706498 (1053.7 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 23hrs 28min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 57min 1sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.93 BogoMIPS (lpj=2830467)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830455)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Total of 4 processors activated (22643.65 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 12, 2013 15:19:14 UTC 2013 年 9 月 13 日 (金) 0 時 19 分 14 秒 (日本時間)
403e61610110Ignacio SantosSeptember 12, 2013 15:19:14 UTC 2013 年 9 月 13 日 (金) 0 時 19 分 14 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:13:40 UTC 2013 年 10 月 13 日 (日) 23 時 13 分 40 秒 (日本時間)
4511e62382 / 410532Ignacio SantosSeptember 12, 2013 15:19:14 UTC 2013 年 9 月 13 日 (金) 0 時 19 分 14 秒 (日本時間)
1500Dmitry DomanovNovember 8, 2013 05:44:08 UTC 2013 年 11 月 8 日 (金) 14 時 44 分 8 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:13:53 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 53 秒 (日本時間)

43×10208-619

c155

name 名前Dmitry Domanov
date 日付October 9, 2013 05:46:40 UTC 2013 年 10 月 9 日 (水) 14 時 46 分 40 秒 (日本時間)
composite number 合成数
34425176353454418080191628295354169216375318320312093003735015187387736860503282292741176414005929355070020744904096645271111819799060271373699459416909653<155>
prime factors 素因数
52007957851113055528307566599067304361319<41>
661921324655850967824124357295810497760274131950889594132349220563426258795423567270727143517358382614707698697187<114>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1679439644
Step 1 took 21005ms
Step 2 took 7788ms
********** Factor found in step 2: 52007957851113055528307566599067304361319
Found probable prime factor of 41 digits: 52007957851113055528307566599067304361319

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)
403e6280 / 2318KTakahashiSeptember 11, 2013 19:32:52 UTC 2013 年 9 月 12 日 (木) 4 時 32 分 52 秒 (日本時間)

43×10209-619

c209

name 名前Dmitry Domanov
date 日付October 9, 2013 07:31:10 UTC 2013 年 10 月 9 日 (水) 16 時 31 分 10 秒 (日本時間)
composite number 合成数
22751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751<209>
prime factors 素因数
21599587650328751576861992919899609493<38>
1053322087423111988231284995138998539551399176367507927284679117370586517968693803883683140184938014089031113049702179350703507381473201708613250868697702624676327828199107<172>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1081036464
Step 1 took 26727ms
Step 2 took 10279ms
********** Factor found in step 2: 21599587650328751576861992919899609493
Found probable prime factor of 38 digits: 21599587650328751576861992919899609493

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 12, 2013 15:19:41 UTC 2013 年 9 月 13 日 (金) 0 時 19 分 41 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 12, 2013 15:19:41 UTC 2013 年 9 月 13 日 (金) 0 時 19 分 41 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 12, 2013 15:19:41 UTC 2013 年 9 月 13 日 (金) 0 時 19 分 41 秒 (日本時間)

43×10210-619

c211

name 名前Jo Yeong Uk
date 日付November 16, 2013 02:36:57 UTC 2013 年 11 月 16 日 (土) 11 時 36 分 57 秒 (日本時間)
composite number 合成数
4777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771<211>
prime factors 素因数
8617856718521686324374752253407837675298403122653<49>
1008034256424177728397134447210039725977524406461836037171752300623421080887<76>
549985684938514971126476469401898092144197828748662116660643631375922898233669696042961<87>
factorization results 素因数分解の結果
Number: 47771_210
N=4777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771
  ( 211 digits)
SNFS difficulty: 211 digits.
Divisors found:
 r1=8617856718521686324374752253407837675298403122653
 r2=1008034256424177728397134447210039725977524406461836037171752300623421080887
 r3=549985684938514971126476469401898092144197828748662116660643631375922898233669696042961
Version: 
Total time: 632.56 hours.
Scaled time: 3305.13 units (timescale=5.225).
Factorization parameters were as follows:
n: 4777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771
m: 100000000000000000000000000000000000
deg: 6
c6: 43
c0: -61
skew: 1.06
# Murphy_E = 4.145e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 30000000/30000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved rational special-q in [15000000, 35000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 44934715
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4690385 x 4690632
Total sieving time: 567.22 hours.
Total relation processing time: 13.77 hours.
Matrix solve time: 48.61 hours.
Time per square root: 2.96 hours.
Prototype def-par.txt line would be:
snfs,211,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,57,57,2.6,2.6,100000
total time: 632.56 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49370232k/51380224k available (5223k kernel code, 1085960k absent, 924032k reserved, 7119k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.52 BogoMIPS (lpj=3400264)
Total of 12 processors activated (81606.33 BogoMIPS).
x86info v1.25.  Dave Jones 2001-2009
Feedback to <davej@redhat.com>.

Found 12 CPUs
--------------------------------------------------------------------------
CPU #1
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
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
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #2
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
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
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #3
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
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
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #4
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
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: 0x6 Package: 0  Core: 0   SMT ID 6
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #5
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
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: 0x8 Package: 0  Core: 0   SMT ID 8
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #6
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
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: 0xa Package: 0  Core: 0   SMT ID 10
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #7
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
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
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #8
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
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
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #9
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
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
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #10
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
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: 0x7 Package: 0  Core: 0   SMT ID 7
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #11
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
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: 0x9 Package: 0  Core: 0   SMT ID 9
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #12
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
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: 0xb Package: 0  Core: 0   SMT ID 11
3.40GHz processor (estimate).

--------------------------------------------------------------------------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7 4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 12, 2013 15:20:07 UTC 2013 年 9 月 13 日 (金) 0 時 20 分 7 秒 (日本時間)
403e62126110Ignacio SantosSeptember 12, 2013 15:20:07 UTC 2013 年 9 月 13 日 (金) 0 時 20 分 7 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:13:48 UTC 2013 年 10 月 13 日 (日) 23 時 13 分 48 秒 (日本時間)
516Jo Yeong UkOctober 14, 2013 13:00:50 UTC 2013 年 10 月 14 日 (月) 22 時 0 分 50 秒 (日本時間)
4511e6399132Ignacio SantosSeptember 12, 2013 15:20:07 UTC 2013 年 9 月 13 日 (金) 0 時 20 分 7 秒 (日本時間)
3959Jo Yeong UkNovember 1, 2013 13:59:29 UTC 2013 年 11 月 1 日 (金) 22 時 59 分 29 秒 (日本時間)

43×10212-619

c176

name 名前Dmitry Domanov
date 日付October 8, 2013 13:34:42 UTC 2013 年 10 月 8 日 (火) 22 時 34 分 42 秒 (日本時間)
composite number 合成数
27972464308784652822224541768262131729439558191618711127470037293586112275848767975973373370503488800958303182851067266712640600420069515318631510121429782552769371500253283847<176>
prime factors 素因数
9890431810850314830209238633307<31>
2828234888399656511387761427476353482922746794384503641104740423082329003659251577152124767612341401211018585928859147689327778554245311893089221<145>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3851913122
Step 1 took 23652ms
********** Factor found in step 1: 9890431810850314830209238633307
Found probable prime factor of 31 digits: 9890431810850314830209238633307

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)

43×10213-619

c170

composite cofactor 合成数の残り
12353272492280785042748417966539023881177245898475908568640303164285728012561194964383900083380045271402013631747346769022373190923221388704124497572704482012619208379033<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:13:56 UTC 2013 年 10 月 13 日 (日) 23 時 13 分 56 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 8, 2013 05:44:28 UTC 2013 年 11 月 8 日 (金) 14 時 44 分 28 秒 (日本時間)

43×10214-619

c202

composite cofactor 合成数の残り
6219487381643685523577379593696208589026726069790285634658685197652034767636592079875395114220275752441674646965562433446011282631785907446096393733028642947699583678724892340835366543287963008861018013<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:14:04 UTC 2013 年 10 月 13 日 (日) 23 時 14 分 4 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 8, 2013 05:44:37 UTC 2013 年 11 月 8 日 (金) 14 時 44 分 37 秒 (日本時間)

43×10216-619

c206

composite cofactor 合成数の残り
23776869579835662578942539022291382598628500893754196921952641409140199181889851638751491988804485586779762870997908126937680320976713362993755925668855099205435883369681228968596279206449792268684449342423<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:14:12 UTC 2013 年 10 月 13 日 (日) 23 時 14 分 12 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 8, 2013 05:44:45 UTC 2013 年 11 月 8 日 (金) 14 時 44 分 45 秒 (日本時間)

43×10217-619

c199

composite cofactor 合成数の残り
3058985574649320096630660880025184233319277272131239422439191508764475973193829639486038545709669053766136204925346865364772749826509296032655933534915677443375903526003427841499309375894174622773913<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:14:20 UTC 2013 年 10 月 13 日 (日) 23 時 14 分 20 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 8, 2013 05:44:55 UTC 2013 年 11 月 8 日 (金) 14 時 44 分 55 秒 (日本時間)

43×10219-619

c192

composite cofactor 合成数の残り
315378575292569995262735218369987201495720048594335563705192452276403172663670353851418925391131965154456451016637656638137233109601874615558530025425361101037594778262441891412952903900270369<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:14:28 UTC 2013 年 10 月 13 日 (日) 23 時 14 分 28 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 8, 2013 05:45:06 UTC 2013 年 11 月 8 日 (金) 14 時 45 分 6 秒 (日本時間)

43×10221-619

c188

composite cofactor 合成数の残り
54792663957890290470225540113322424383195777517969604934525815773915090863888772276462734323090092227960238371749558619175056586347936475417579300805780349807122949985059569753940091264403<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:14:36 UTC 2013 年 10 月 13 日 (日) 23 時 14 分 36 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 8, 2013 05:45:15 UTC 2013 年 11 月 8 日 (金) 14 時 45 分 15 秒 (日本時間)

43×10222-619

c214

name 名前Bob Backstrom
date 日付May 21, 2018 08:15:01 UTC 2018 年 5 月 21 日 (月) 17 時 15 分 1 秒 (日本時間)
composite number 合成数
1164536677532400239583727191316894376811746673601584410625773391641269877336432018321474204882537691417192630354442069338579451687066225184279975840228516341093205907691326084967976453163059834975371227212580183113<214>
prime factors 素因数
822037211046602944601025545593652974304647<42>
47034686050337366717727561353751163133110397796542619254252633978822445173429<77>
30119200858331795521380674090481694239042762795565397378907137817911577089291909866738847360851<95>
factorization results 素因数分解の結果
Number: n
N=1164536677532400239583727191316894376811746673601584410625773391641269877336432018321474204882537691417192630354442069338579451687066225184279975840228516341093205907691326084967976453163059834975371227212580183113
  ( 214 digits)
SNFS difficulty: 223 digits.
Divisors found:

Mon May 21 17:58:24 2018  found factor: 30119200858331795521380674090481694239042762795565397378907137817911577089291909866738847360851
Mon May 21 18:06:39 2018  p42 factor: 822037211046602944601025545593652974304647
Mon May 21 18:06:39 2018  p77 factor: 47034686050337366717727561353751163133110397796542619254252633978822445173429
Mon May 21 18:06:39 2018  p95 factor: 30119200858331795521380674090481694239042762795565397378907137817911577089291909866738847360851
Mon May 21 18:06:39 2018  elapsed time 10:11:31 (Msieve 1.53 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.126).
Factorization parameters were as follows:
#
# 43x10^222-61 = 47(221)1
#
n: 1164536677532400239583727191316894376811746673601584410625773391641269877336432018321474204882537691417192630354442069338579451687066225184279975840228516341093205907691326084967976453163059834975371227212580183113
m: 10000000000000000000000000000000000000
deg: 6
c6: 43
c0: -61
skew: 1.06
# Murphy_E = 1.735e-12
type: snfs
lss: 1
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 94500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 16027452 hash collisions in 75636982 relations (61237852 unique)
Msieve: matrix is 4891768 x 4891994 (1391.4 MB)

Sieving start time: 2018/05/18 18:08:47
Sieving end time  : 2018/05/21 07:53:00

Total sieving time: 61hrs 44min 13secs.

Total relation processing time: 9hrs 33min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 16min 29sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,37000000,37000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.036000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16286848K/16703460K available (12300K kernel code, 2470K rwdata, 4240K rodata, 2404K init, 2416K bss, 416612K reserved, 0K cma-reserved)
[    0.068639] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.28 BogoMIPS (lpj=11976564)
[    0.066207] smpboot: Total of 16 processors activated (95812.51 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:14:44 UTC 2013 年 10 月 13 日 (日) 23 時 14 分 44 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 8, 2013 05:45:25 UTC 2013 年 11 月 8 日 (金) 14 時 45 分 25 秒 (日本時間)

43×10224-619

c194

composite cofactor 合成数の残り
11812736838689806977086247226187680986812324282241244623715911042978560385835739862317806085377606092819714241475139158661581863668538253302816487442691771699236809650619423347573372261292602187<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:14:51 UTC 2013 年 10 月 13 日 (日) 23 時 14 分 51 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 8, 2013 05:46:31 UTC 2013 年 11 月 8 日 (金) 14 時 46 分 31 秒 (日本時間)

43×10226-619

c215

composite cofactor 合成数の残り
57223128711736941846071753748285905043314402049646095894399517154391620600674954802655561634164418341730908915596746355214350417158598548940456796050587193415341201267038711002768336845627699000445252412221498150437<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:15:01 UTC 2013 年 10 月 13 日 (日) 23 時 15 分 1 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 8, 2013 05:46:43 UTC 2013 年 11 月 8 日 (金) 14 時 46 分 43 秒 (日本時間)

43×10227-619

c165

composite cofactor 合成数の残り
489502524267796151975586136051605735133693004891342630446498817092346393031223615995824758033569734139873216235272155942664674850796105160164819525787200250439887903<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:15:09 UTC 2013 年 10 月 13 日 (日) 23 時 15 分 9 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 8, 2013 05:46:57 UTC 2013 年 11 月 8 日 (金) 14 時 46 分 57 秒 (日本時間)

43×10229-619

c224

name 名前Dmitry Domanov
date 日付October 25, 2013 05:39:58 UTC 2013 年 10 月 25 日 (金) 14 時 39 分 58 秒 (日本時間)
composite number 合成数
18237331384738093471921783393857946711450766563812358896600735320718952926097116504017238773872825829116798698584032385089649843661537014296922670873298006350069138571527513495519193709766273329841096435148834225244869043449<224>
prime factors 素因数
2697982332479231118023148064743727884492575317<46>
composite cofactor 合成数の残り
6759618536115259454356305303325390871952146203739247492072672567430507015579214056996916223793385213277120327564300284904035707872139987544360498850143611261593881611463828018197<178>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3836681814
Step 1 took 156964ms
Step 2 took 47220ms
********** Factor found in step 2: 2697982332479231118023148064743727884492575317
Found probable prime factor of 46 digits: 2697982332479231118023148064743727884492575317

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:15:19 UTC 2013 年 10 月 13 日 (日) 23 時 15 分 19 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 8, 2013 05:47:14 UTC 2013 年 11 月 8 日 (金) 14 時 47 分 14 秒 (日本時間)

43×10230-619

c229

name 名前Ignacio Santos
date 日付September 12, 2013 17:43:02 UTC 2013 年 9 月 13 日 (金) 2 時 43 分 2 秒 (日本時間)
composite number 合成数
8382066276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803<229>
prime factors 素因数
61331384607303078440035137762431<32>
composite cofactor 合成数の残り
136668466405453014637203149707935865698663727040458009309943875185420872948118704352836755055970648810239988716692193008380210936614380105600899142180380564009603973745845812290856980547097531009213<198>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3273806398
Step 1 took 3671ms
Step 2 took 2907ms
********** Factor found in step 2: 61331384607303078440035137762431
Found probable prime factor of 32 digits: 61331384607303078440035137762431
Composite cofactor 136668466405453014637203149707935865698663727040458009309943875185420872948118704352836755055970648810239988716692193008380210936614380105600899142180380564009603973745845812290856980547097531009213 has 198 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:15:27 UTC 2013 年 10 月 13 日 (日) 23 時 15 分 27 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 8, 2013 05:47:25 UTC 2013 年 11 月 8 日 (金) 14 時 47 分 25 秒 (日本時間)

43×10231-619

c168

name 名前Dmitry Domanov
date 日付October 10, 2013 05:24:20 UTC 2013 年 10 月 10 日 (木) 14 時 24 分 20 秒 (日本時間)
composite number 合成数
112594397989534923139521645615549743430263859528848751484028766997207041656107675224830776749334313247545451179034110766532310969359547749101675235418109557394145669349<168>
prime factors 素因数
11649510999068638478430061417803820816745639<44>
composite cofactor 合成数の残り
9665160880876174294676637260434830232361929793301585122462577446871593578094564974927925071801918022785037998137176506495891<124>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3070596850
Step 1 took 19342ms
Step 2 took 8228ms
********** Factor found in step 2: 11649510999068638478430061417803820816745639
Found probable prime factor of 44 digits: 11649510999068638478430061417803820816745639

c124

name 名前Erik Branger
date 日付November 4, 2013 17:12:28 UTC 2013 年 11 月 5 日 (火) 2 時 12 分 28 秒 (日本時間)
composite number 合成数
9665160880876174294676637260434830232361929793301585122462577446871593578094564974927925071801918022785037998137176506495891<124>
prime factors 素因数
34768430193532475495123700938876051580659374218505403177460161<62>
277986691578444057404976371833141914905829703179650248262926931<63>
factorization results 素因数分解の結果
Number: 47771_231
N = 9665160880876174294676637260434830232361929793301585122462577446871593578094564974927925071801918022785037998137176506495891 (124 digits)
Divisors found:
r1=34768430193532475495123700938876051580659374218505403177460161 (pp62)
r2=277986691578444057404976371833141914905829703179650248262926931 (pp63)
Version: Msieve v. 1.51 (SVN 845)
Total time: 25.96 hours.
Factorization parameters were as follows:
# Murphy_E = 1.864e-10, selected by Dmitry Domanov
n: 9665160880876174294676637260434830232361929793301585122462577446871593578094564974927925071801918022785037998137176506495891
Y0: -775584643550034791711195
Y1: 2948434218407
c0: 196032782593220128399561791528
c1: 24465798598183448035888616
c2: 51063203220485070564
c3: -2186965875193909
c4: -1313994734
c5: 34440
skew: 153703.3
type: gnfs
# selected mechanically
rlim: 6700000
alim: 6700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10298668
Relations: 1708448 relations
Pruned matrix : 989830 x 990063
Polynomial selection time: 0.00 hours.
Total sieving time: 25.03 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.63 hours.
time per square root: 0.26 hours.
Prototype def-par.txt line would be: gnfs,123,5,65,2000,1e-05,0.28,250,20,50000,3600,6700000,6700000,27,27,52,52,2.5,2.5,100000
total time: 25.96 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
351e6418118Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 10, 2013 22:20:09 UTC 2013 年 10 月 11 日 (金) 7 時 20 分 9 秒 (日本時間)
403e61610110Ignacio SantosOctober 10, 2013 22:20:09 UTC 2013 年 10 月 11 日 (金) 7 時 20 分 9 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:15:35 UTC 2013 年 10 月 13 日 (日) 23 時 15 分 35 秒 (日本時間)
4511e6262 / 410532Ignacio SantosOctober 10, 2013 22:20:09 UTC 2013 年 10 月 11 日 (金) 7 時 20 分 9 秒 (日本時間)
230Ignacio SantosOctober 20, 2013 22:04:20 UTC 2013 年 10 月 21 日 (月) 7 時 4 分 20 秒 (日本時間)

43×10233-619

c208

composite cofactor 合成数の残り
2687047972485713758163976252154669527113079810483157898415312974216091741154975880480466407734525554779496192761593649795224872163897643555892946782514625303099941604298654871328887461484958445180127906847387<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:15:42 UTC 2013 年 10 月 13 日 (日) 23 時 15 分 42 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 8, 2013 05:47:38 UTC 2013 年 11 月 8 日 (金) 14 時 47 分 38 秒 (日本時間)

43×10234-619

c166

composite cofactor 合成数の残り
7756187688532445818865364630479816239643979457526584759779351918242586308624358524046558665277938468416263938975530597412722534931734584316324382799311817089710424903<166>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:15:51 UTC 2013 年 10 月 13 日 (日) 23 時 15 分 51 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 8, 2013 05:47:50 UTC 2013 年 11 月 8 日 (金) 14 時 47 分 50 秒 (日本時間)

43×10236-619

c208

composite cofactor 合成数の残り
9644397199494069435714533328883255863802560346544621542320431341059561325263487696581896552829618551403349143603562087945693136816547079272823697286493372880048164947956560350853803986964036648054048224022959<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:15:59 UTC 2013 年 10 月 13 日 (日) 23 時 15 分 59 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 8, 2013 05:48:01 UTC 2013 年 11 月 8 日 (金) 14 時 48 分 1 秒 (日本時間)

43×10237-619

c232

name 名前Dmitry Domanov
date 日付October 24, 2013 10:42:32 UTC 2013 年 10 月 24 日 (木) 19 時 42 分 32 秒 (日本時間)
composite number 合成数
2498632579739936510327226152338839215492126314825496953324323148035322297163767294096550533129747075045499808738392181069743633905467897132807493201540343066901817046287400970619974080463987934974888452034941575287896222840372300903<232>
prime factors 素因数
2832825757520826726352467981815180070551<40>
composite cofactor 合成数の残り
882028332701492229921214484560135506106170932493694622439242231127382848473713856845363776431938915650949193726293594493419201714191761375680914366366175792741488627991139804840415104652376753<192>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=482123477
Step 1 took 134425ms
Step 2 took 40977ms
********** Factor found in step 2: 2832825757520826726352467981815180070551
Found probable prime factor of 40 digits: 2832825757520826726352467981815180070551

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:16:07 UTC 2013 年 10 月 13 日 (日) 23 時 16 分 7 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 8, 2013 05:48:11 UTC 2013 年 11 月 8 日 (金) 14 時 48 分 11 秒 (日本時間)

43×10238-619

c175

name 名前Dmitry Domanov
date 日付October 9, 2013 07:30:40 UTC 2013 年 10 月 9 日 (水) 16 時 30 分 40 秒 (日本時間)
composite number 合成数
1607600289796259926828046084362751513323770652434604661856724315875066092342991236497003994123854040934492841843413897874587722859356144695374734312524473262387186560752644387<175>
prime factors 素因数
897126899706386679598795748122247891<36>
1791943024250413479016163329581780801820962147090348668541628469171918618527533822143600034448987032693338978431601558784842197734049580657<139>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2982857643
Step 1 took 23481ms
Step 2 took 8997ms
********** Factor found in step 2: 897126899706386679598795748122247891
Found probable prime factor of 36 digits: 897126899706386679598795748122247891

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)

43×10239-619

c151

name 名前Ignacio Santos
date 日付October 7, 2013 20:40:20 UTC 2013 年 10 月 8 日 (火) 5 時 40 分 20 秒 (日本時間)
composite number 合成数
1031745603394720663375794810772203214298097133583004355765295351211564527528163153114205008464941157924835022158259762550032232620894272518331708922237<151>
prime factors 素因数
107235185691647241364222260547973<33>
composite cofactor 合成数の残り
9621334608973268641605975420147041588297839653537124821744687111660171942581162299432710242779277037997390460933647769<118>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3376003821
Step 1 took 30469ms
Step 2 took 18922ms
********** Factor found in step 2: 107235185691647241364222260547973
Found probable prime factor of 33 digits: 107235185691647241364222260547973
Composite cofactor 9621334608973268641605975420147041588297839653537124821744687111660171942581162299432710242779277037997390460933647769 has 118 digits
software ソフトウェア
GMP-ECM 7.0

c118

name 名前Dmitry Domanov
date 日付October 11, 2013 06:32:08 UTC 2013 年 10 月 11 日 (金) 15 時 32 分 8 秒 (日本時間)
composite number 合成数
9621334608973268641605975420147041588297839653537124821744687111660171942581162299432710242779277037997390460933647769<118>
prime factors 素因数
47597301664624959596170557416322322540544203<44>
202140337214199502359647229434992924737140770268566350599058805484091863723<75>
factorization results 素因数分解の結果
N=9621334608973268641605975420147041588297839653537124821744687111660171942581162299432710242779277037997390460933647769
  ( 118 digits)
Divisors found:
 r1=47597301664624959596170557416322322540544203 (pp44)
 r2=202140337214199502359647229434992924737140770268566350599058805484091863723 (pp75)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 51.02 hours.
Scaled time: 49.24 units (timescale=0.965).
Factorization parameters were as follows:
n: 9621334608973268641605975420147041588297839653537124821744687111660171942581162299432710242779277037997390460933647769
skew: 81546.11
c0: -11375542646688816412571572011
c1: -584772723944171154765933
c2: 49292817646144022047
c3: 7385727762713
c4: -1854110876
c5: 16380
Y0: -56726278433834682415232
Y1: 46468924421
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 200000
type: gnfs
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2400000, 4000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 669170 x 669397
Total sieving time: 49.42 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 0.77 hours.
Time per square root: 0.45 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4800000,4800000,27,27,54,54,2.5,2.5,100000
total time: 51.02 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)
403e6280 / 2318KTakahashiSeptember 11, 2013 16:03:56 UTC 2013 年 9 月 12 日 (木) 1 時 3 分 56 秒 (日本時間)

43×10240-619

c226

composite cofactor 合成数の残り
8316906392574465079494189491930675066193826732450670019235070693360311600182864015488253893005469445217393536458264186988914004341533116828600534959023675064257432508564899174141253986778898067871797560428820548537547517505077<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:16:15 UTC 2013 年 10 月 13 日 (日) 23 時 16 分 15 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 8, 2013 05:48:20 UTC 2013 年 11 月 8 日 (金) 14 時 48 分 20 秒 (日本時間)

43×10241-619

c214

composite cofactor 合成数の残り
2995168259690671350711693909701229485388260525196407295849164813315135358123863366336702281984042662438289607226400797454457698664838713011936176743536182121335118476734320194837684576382876793431786952052325357421<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:16:22 UTC 2013 年 10 月 13 日 (日) 23 時 16 分 22 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 8, 2013 05:48:29 UTC 2013 年 11 月 8 日 (金) 14 時 48 分 29 秒 (日本時間)

43×10244-619

c200

name 名前Dmitry Domanov
date 日付October 8, 2013 13:34:07 UTC 2013 年 10 月 8 日 (火) 22 時 34 分 7 秒 (日本時間)
composite number 合成数
11375565018243845193081403036110157358776156549062941492473656006699049270477299914014691749853610472736320762015381558835120947194563793500517412270143479095080782348888483457638155021833925676779999<200>
prime factors 素因数
5268304685726463092333581508413<31>
composite cofactor 合成数の残り
2159245847922182727229909237816479094355923069590625552831098268402472668746214311946670557624138587321812344839282919397217086858381308687797579060703682683251458760523<169>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=141504275
Step 1 took 26664ms
Step 2 took 9950ms
********** Factor found in step 2: 5268304685726463092333581508413
Found probable prime factor of 31 digits: 5268304685726463092333581508413

c169

name 名前Dmitry Domanov
date 日付October 9, 2013 05:47:18 UTC 2013 年 10 月 9 日 (水) 14 時 47 分 18 秒 (日本時間)
composite number 合成数
2159245847922182727229909237816479094355923069590625552831098268402472668746214311946670557624138587321812344839282919397217086858381308687797579060703682683251458760523<169>
prime factors 素因数
324384286478783502144468757444664687<36>
6656444032357310740968588372368658501062885414906867242083601271235940152069992057461912000994601099319155445968020659363864670905829<133>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4136247477
Step 1 took 19424ms
Step 2 took 8212ms
********** Factor found in step 2: 324384286478783502144468757444664687
Found probable prime factor of 36 digits: 324384286478783502144468757444664687

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)

43×10245-619

c221

composite cofactor 合成数の残り
68343555373194056397288162547335775716020561752261864679490980286787855192406254617190294727303536597682197048370319106630403959238555801836853187909244086226522665949333403661707900757145623704945068097477704023335431459<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:16:30 UTC 2013 年 10 月 13 日 (日) 23 時 16 分 30 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 8, 2013 05:48:43 UTC 2013 年 11 月 8 日 (金) 14 時 48 分 43 秒 (日本時間)

43×10246-619

c242

composite cofactor 合成数の残り
10318884734937847917397087722758924215470791916809631215058276501475720504127913855070543975607116382861340346335368073418624915019184726514758284924565352976650283637344475809054557383437998021173871527965257514967782282090951609949996604367<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 27, 2013 14:35:14 UTC 2013 年 9 月 27 日 (金) 23 時 35 分 14 秒 (日本時間)
403e61610110Ignacio SantosSeptember 27, 2013 14:35:14 UTC 2013 年 9 月 27 日 (金) 23 時 35 分 14 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:16:38 UTC 2013 年 10 月 13 日 (日) 23 時 16 分 38 秒 (日本時間)
4511e6238232Ignacio SantosSeptember 27, 2013 14:35:14 UTC 2013 年 9 月 27 日 (金) 23 時 35 分 14 秒 (日本時間)
1500Dmitry DomanovNovember 8, 2013 05:48:52 UTC 2013 年 11 月 8 日 (金) 14 時 48 分 52 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:17:54 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 54 秒 (日本時間)
5043e6775 / 6956Serge BatalovNovember 25, 2013 02:18:03 UTC 2013 年 11 月 25 日 (月) 11 時 18 分 3 秒 (日本時間)

43×10247-619

c195

composite cofactor 合成数の残り
100813688102505271015060505303838304628793152804115515600374997020504320662776581126353810972791732704875838406278673078862465818279761200552383510286033744167844823066413900610961039782705735257<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:16:45 UTC 2013 年 10 月 13 日 (日) 23 時 16 分 45 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 8, 2013 05:49:02 UTC 2013 年 11 月 8 日 (金) 14 時 49 分 2 秒 (日本時間)

43×10250-619

c251

name 名前Dmitry Domanov
date 日付October 8, 2013 13:33:37 UTC 2013 年 10 月 8 日 (火) 22 時 33 分 37 秒 (日本時間)
composite number 合成数
47777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771<251>
prime factors 素因数
382434358019099966477805687282121049<36>
composite cofactor 合成数の残り
124930662676996208349557076336690751700538910247231169083599770381709718638331809199735850251541533735884978374171778204458166193909379794258292248805314320179305416278231482113624449866842387786788496959122981390179<216>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=221865033
Step 1 took 41039ms
********** Factor found in step 1: 382434358019099966477805687282121049
Found probable prime factor of 36 digits: 382434358019099966477805687282121049

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 7, 2013 11:00:00 UTC 2013 年 9 月 7 日 (土) 20 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 27, 2013 14:39:29 UTC 2013 年 9 月 27 日 (金) 23 時 39 分 29 秒 (日本時間)
403e61610110Ignacio SantosSeptember 27, 2013 14:39:29 UTC 2013 年 9 月 27 日 (金) 23 時 39 分 29 秒 (日本時間)
1500Dmitry DomanovOctober 11, 2013 08:45:17 UTC 2013 年 10 月 11 日 (金) 17 時 45 分 17 秒 (日本時間)
4511e6163232Ignacio SantosSeptember 27, 2013 14:39:29 UTC 2013 年 9 月 27 日 (金) 23 時 39 分 29 秒 (日本時間)
1600Dmitry DomanovOctober 11, 2013 08:45:17 UTC 2013 年 10 月 11 日 (金) 17 時 45 分 17 秒 (日本時間)
5043e6720 / 7124Dmitry DomanovOctober 16, 2013 13:33:11 UTC 2013 年 10 月 16 日 (水) 22 時 33 分 11 秒 (日本時間)