Table of contents 目次

37×10108+179

c97

name 名前Robert Backstrom
date 日付December 9, 2008 20:24:47 UTC 2008 年 12 月 10 日 (水) 5 時 24 分 47 秒 (日本時間)
composite number 合成数
4906534580127606927180094373743665249849469033907932112519677702181464751954187623632870631673991<97>
prime factors 素因数
104182055552360290276887991646980292952367714049<48>
47095774354938298478289361041793337607914469549959<50>
factorization results 素因数分解の結果
Number: n
N=4906534580127606927180094373743665249849469033907932112519677702181464751954187623632870631673991
  ( 97 digits)
SNFS difficulty: 111 digits.
Divisors found:

Wed Dec 10 07:21:09 2008  prp48 factor: 104182055552360290276887991646980292952367714049
Wed Dec 10 07:21:09 2008  prp50 factor: 47095774354938298478289361041793337607914469549959
Wed Dec 10 07:21:09 2008  elapsed time 00:06:28 (Msieve 1.39 - dependency 6)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.66 hours.
Scaled time: 1.20 units (timescale=1.827).
Factorization parameters were as follows:
name: KA_4_1_107_3
n: 4906534580127606927180094373743665249849469033907932112519677702181464751954187623632870631673991
type: snfs
skew: 2.15
deg: 5
c5: 37
c0: 1700
m: 10000000000000000000000
rlim: 460000
alim: 460000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 10000
Factor base limits: 460000/460000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 180001)
Primes: RFBsize:38458, AFBsize:38218, largePrimes:3390727 encountered
Relations: rels:2783996, finalFF:78182
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 0.62 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,111,5,0,0,0,0,0,0,0,0,460000,460000,28,28,56,56,2.5,2.5,50000
total time: 0.66 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
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10109+179

c88

name 名前Erik Branger
date 日付December 9, 2008 18:34:46 UTC 2008 年 12 月 10 日 (水) 3 時 34 分 46 秒 (日本時間)
composite number 合成数
1090619992393115507959322991878114317418422491212703526318350782022189627286829408789267<88>
prime factors 素因数
20288855357221307444588716847<29>
53754633920485650751518557177632083869545213561233239872861<59>
factorization results 素因数分解の結果
Tue Dec 09 18:19:49 2008  Msieve v. 1.38
Tue Dec 09 18:19:49 2008  random seeds: 04da1f68 d6132000
Tue Dec 09 18:19:49 2008  factoring 1090619992393115507959322991878114317418422491212703526318350782022189627286829408789267 (88 digits)
Tue Dec 09 18:19:50 2008  searching for 15-digit factors
Tue Dec 09 18:19:52 2008  commencing quadratic sieve (88-digit input)
Tue Dec 09 18:19:52 2008  using multiplier of 3
Tue Dec 09 18:19:52 2008  using 64kb Pentium 4 sieve core
Tue Dec 09 18:19:52 2008  sieve interval: 12 blocks of size 65536
Tue Dec 09 18:19:52 2008  processing polynomials in batches of 9
Tue Dec 09 18:19:52 2008  using a sieve bound of 1501873 (57333 primes)
Tue Dec 09 18:19:52 2008  using large prime bound of 120149840 (26 bits)
Tue Dec 09 18:19:52 2008  using double large prime bound of 349543879472720 (42-49 bits)
Tue Dec 09 18:19:52 2008  using trial factoring cutoff of 49 bits
Tue Dec 09 18:19:52 2008  polynomial 'A' values have 11 factors
Tue Dec 09 19:32:43 2008  57703 relations (15932 full + 41771 combined from 603821 partial), need 57429
Tue Dec 09 19:32:44 2008  begin with 619753 relations
Tue Dec 09 19:32:45 2008  reduce to 138230 relations in 10 passes
Tue Dec 09 19:32:45 2008  attempting to read 138230 relations
Tue Dec 09 19:32:49 2008  recovered 138230 relations
Tue Dec 09 19:32:49 2008  recovered 115824 polynomials
Tue Dec 09 19:32:49 2008  attempting to build 57703 cycles
Tue Dec 09 19:32:49 2008  found 57703 cycles in 5 passes
Tue Dec 09 19:32:49 2008  distribution of cycle lengths:
Tue Dec 09 19:32:49 2008     length 1 : 15932
Tue Dec 09 19:32:49 2008     length 2 : 11388
Tue Dec 09 19:32:49 2008     length 3 : 10191
Tue Dec 09 19:32:49 2008     length 4 : 7570
Tue Dec 09 19:32:49 2008     length 5 : 5222
Tue Dec 09 19:32:49 2008     length 6 : 3299
Tue Dec 09 19:32:49 2008     length 7 : 1926
Tue Dec 09 19:32:49 2008     length 9+: 2175
Tue Dec 09 19:32:49 2008  largest cycle: 17 relations
Tue Dec 09 19:32:50 2008  matrix is 57333 x 57703 (13.6 MB) with weight 3330045 (57.71/col)
Tue Dec 09 19:32:50 2008  sparse part has weight 3330045 (57.71/col)
Tue Dec 09 19:32:50 2008  filtering completed in 3 passes
Tue Dec 09 19:32:50 2008  matrix is 52889 x 52953 (12.6 MB) with weight 3080639 (58.18/col)
Tue Dec 09 19:32:50 2008  sparse part has weight 3080639 (58.18/col)
Tue Dec 09 19:32:51 2008  saving the first 48 matrix rows for later
Tue Dec 09 19:32:51 2008  matrix is 52841 x 52953 (8.5 MB) with weight 2479242 (46.82/col)
Tue Dec 09 19:32:51 2008  sparse part has weight 1920939 (36.28/col)
Tue Dec 09 19:32:51 2008  matrix includes 64 packed rows
Tue Dec 09 19:32:51 2008  using block size 21181 for processor cache size 512 kB
Tue Dec 09 19:32:52 2008  commencing Lanczos iteration
Tue Dec 09 19:32:52 2008  memory use: 8.1 MB
Tue Dec 09 19:33:19 2008  lanczos halted after 837 iterations (dim = 52841)
Tue Dec 09 19:33:20 2008  recovered 18 nontrivial dependencies
Tue Dec 09 19:33:20 2008  prp29 factor: 20288855357221307444588716847
Tue Dec 09 19:33:20 2008  prp59 factor: 53754633920485650751518557177632083869545213561233239872861
Tue Dec 09 19:33:20 2008  elapsed time 01:13:31
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
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10115+179

c108

name 名前Erik Branger
date 日付December 9, 2008 20:32:52 UTC 2008 年 12 月 10 日 (水) 5 時 32 分 52 秒 (日本時間)
composite number 合成数
473944016321207528193875966209651546329520519049447684665186406286999056081568726718516936228666551733961779<108>
prime factors 素因数
5497749320430187878858053736352893214180573673<46>
86206916448515400419165649243334368387994159291444142145800123<62>
factorization results 素因数分解の結果
Number: 41113_115
N=473944016321207528193875966209651546329520519049447684665186406286999056081568726718516936228666551733961779
  ( 108 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=5497749320430187878858053736352893214180573673
 r2=86206916448515400419165649243334368387994159291444142145800123
Version: 
Total time: 1.75 hours.
Scaled time: 1.38 units (timescale=0.788).
Factorization parameters were as follows:
n: 473944016321207528193875966209651546329520519049447684665186406286999056081568726718516936228666551733961779
m: 100000000000000000000000
deg: 5
c5: 37
c0: 17
skew: 0.86
type: snfs
lss: 1
rlim: 610000
alim: 610000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 610000/610000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [305000, 505001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 63339 x 63557
Total sieving time: 1.75 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,116,5,0,0,0,0,0,0,0,0,610000,610000,25,25,45,45,2.2,2.2,50000
total time: 1.75 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
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10117+179

c118

name 名前Erik Branger
date 日付December 9, 2008 22:52:52 UTC 2008 年 12 月 10 日 (水) 7 時 52 分 52 秒 (日本時間)
composite number 合成数
1370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370371<118>
prime factors 素因数
134559089698345633832840039614067963863<39>
10184153099151195348037371312804759219593045915950096947235927280552420123916917<80>
factorization results 素因数分解の結果
Number: 41113_117
N=1370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370371
  ( 118 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=134559089698345633832840039614067963863
 r2=10184153099151195348037371312804759219593045915950096947235927280552420123916917
Version: 
Total time: 2.12 hours.
Scaled time: 1.68 units (timescale=0.790).
Factorization parameters were as follows:
n: 1370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370371
m: 200000000000000000000000
deg: 5
c5: 925
c0: 136
skew: 0.68
type: snfs
lss: 1
rlim: 690000
alim: 690000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 690000/690000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [345000, 595001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 83361 x 83606
Total sieving time: 2.12 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,119,5,0,0,0,0,0,0,0,0,690000,690000,25,25,45,45,2.2,2.2,50000
total time: 2.12 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
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10118+179

c109

name 名前Robert Backstrom
date 日付December 9, 2008 22:03:57 UTC 2008 年 12 月 10 日 (水) 7 時 3 分 57 秒 (日本時間)
composite number 合成数
8191153793496486080155243826095227511849929831854706641774851002194663429312462621657955270889565525258158631<109>
prime factors 素因数
369285778102739495137261341581<30>
22181070269155109783562069123105623896282019970639176229640191423908175990898051<80>
factorization results 素因数分解の結果
Number: n
N=8191153793496486080155243826095227511849929831854706641774851002194663429312462621657955270889565525258158631
  ( 109 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=369285778102739495137261341581 (pp30)
 r2=22181070269155109783562069123105623896282019970639176229640191423908175990898051 (pp80)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.40 hours.
Scaled time: 2.56 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_4_1_117_3
n: 8191153793496486080155243826095227511849929831854706641774851002194663429312462621657955270889565525258158631
type: snfs
skew: 2.15
deg: 5
c5: 37
c0: 1700
m: 1000000000000000000000000
rlim: 500000
alim: 500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 10000
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [100000, 280001)
Primes: RFBsize:41538, AFBsize:41217, largePrimes:4239950 encountered
Relations: rels:3579601, finalFF:93820
Max relations in full relation-set: 48
Initial matrix: 82822 x 93820 with sparse part having weight 11495097.
Pruned matrix : 80528 x 81006 with weight 8340084.
Total sieving time: 1.29 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.04 hours.
Total square root time: 0.01 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,500000,500000,28,28,56,56,2.5,2.5,50000
total time: 1.40 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
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10124+179

c119

name 名前Sinkiti Sibata
date 日付December 10, 2008 12:09:25 UTC 2008 年 12 月 10 日 (水) 21 時 9 分 25 秒 (日本時間)
composite number 合成数
87727472000117602232735292785695774878977581363081007784746184269895227317291535223646963787759267281185752963706670631<119>
prime factors 素因数
112530124858026319235276321085291537757319<42>
779590994951787401614222560214997243616363930234312099703490458459408464798049<78>
factorization results 素因数分解の結果
Number: 41113_124
N=87727472000117602232735292785695774878977581363081007784746184269895227317291535223646963787759267281185752963706670631
  ( 119 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=112530124858026319235276321085291537757319 (pp42)
 r2=779590994951787401614222560214997243616363930234312099703490458459408464798049 (pp78)
Version: GGNFS-0.77.1-20060513-k8
Total time: 3.54 hours.
Scaled time: 7.10 units (timescale=2.003).
Factorization parameters were as follows:
name: 41113_124
n: 87727472000117602232735292785695774878977581363081007784746184269895227317291535223646963787759267281185752963706670631
m: 10000000000000000000000000
deg: 5
c5: 37
c0: 170
skew: 1.36
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 800001)
Primes: RFBsize:71274, AFBsize:71110, largePrimes:2584163 encountered
Relations: rels:2495928, finalFF:206678
Max relations in full relation-set: 28
Initial matrix: 142449 x 206678 with sparse part having weight 16626795.
Pruned matrix : 126344 x 127120 with weight 7462678.
Total sieving time: 3.33 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,50000
total time: 3.54 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10125+179

c120

name 名前Serge Batalov
date 日付December 10, 2008 01:00:46 UTC 2008 年 12 月 10 日 (水) 10 時 0 分 46 秒 (日本時間)
composite number 合成数
212807062617787990216166538436032583867119589114424114468113766195552090826514448650547279373859505122352270343650622337<120>
prime factors 素因数
126466623195854517098346870112753670547872292270689591<54>
1682713250659195660607781542641572535401816555627858765330728147207<67>
factorization results 素因数分解の結果
SNFS difficulty: 126 digits.
Divisors found:
 r1=126466623195854517098346870112753670547872292270689591 (pp54)
 r2=1682713250659195660607781542641572535401816555627858765330728147207 (pp67)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.725).
Factorization parameters were as follows:
n: 212807062617787990216166538436032583867119589114424114468113766195552090826514448650547279373859505122352270343650622337
m: 10000000000000000000000000
deg: 5
c5: 37
c0: 17
skew: 0.86
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [450000, 750001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 129306 x 129554
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,900000,900000,26,26,49,49,2.3,2.3,50000
total time: 1.50 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
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10127+179

c86

name 名前Erik Branger
date 日付December 10, 2008 16:51:12 UTC 2008 年 12 月 11 日 (木) 1 時 51 分 12 秒 (日本時間)
composite number 合成数
51728182369684409028798805980087503755843503122413956066416778922363534304002249162531<86>
prime factors 素因数
192989518424688578863761535141003<33>
268036227003025546179556250126925130151642985964735177<54>
factorization results 素因数分解の結果
Tue Dec 09 17:21:54 2008  Msieve v. 1.38
Tue Dec 09 17:21:54 2008  random seeds: faf2f160 6a6e1ca0
Tue Dec 09 17:21:54 2008  factoring 51728182369684409028798805980087503755843503122413956066416778922363534304002249162531 (86 digits)
Tue Dec 09 17:21:55 2008  searching for 15-digit factors
Tue Dec 09 17:21:56 2008  commencing quadratic sieve (86-digit input)
Tue Dec 09 17:21:56 2008  using multiplier of 19
Tue Dec 09 17:21:56 2008  using 64kb Pentium 4 sieve core
Tue Dec 09 17:21:56 2008  sieve interval: 8 blocks of size 65536
Tue Dec 09 17:21:56 2008  processing polynomials in batches of 13
Tue Dec 09 17:21:56 2008  using a sieve bound of 1461403 (55606 primes)
Tue Dec 09 17:21:56 2008  using large prime bound of 116912240 (26 bits)
Tue Dec 09 17:21:56 2008  using double large prime bound of 332772803587280 (41-49 bits)
Tue Dec 09 17:21:56 2008  using trial factoring cutoff of 49 bits
Tue Dec 09 17:21:57 2008  polynomial 'A' values have 11 factors
Tue Dec 09 18:17:14 2008  55945 relations (16016 full + 39929 combined from 580933 partial), need 55702
Tue Dec 09 18:17:16 2008  begin with 596949 relations
Tue Dec 09 18:17:17 2008  reduce to 132179 relations in 10 passes
Tue Dec 09 18:17:17 2008  attempting to read 132179 relations
Tue Dec 09 18:17:22 2008  recovered 132179 relations
Tue Dec 09 18:17:22 2008  recovered 110384 polynomials
Tue Dec 09 18:17:22 2008  attempting to build 55945 cycles
Tue Dec 09 18:17:22 2008  found 55945 cycles in 5 passes
Tue Dec 09 18:17:22 2008  distribution of cycle lengths:
Tue Dec 09 18:17:22 2008     length 1 : 16016
Tue Dec 09 18:17:22 2008     length 2 : 11292
Tue Dec 09 18:17:22 2008     length 3 : 9885
Tue Dec 09 18:17:22 2008     length 4 : 7218
Tue Dec 09 18:17:22 2008     length 5 : 4903
Tue Dec 09 18:17:22 2008     length 6 : 2998
Tue Dec 09 18:17:22 2008     length 7 : 1772
Tue Dec 09 18:17:22 2008     length 9+: 1861
Tue Dec 09 18:17:22 2008  largest cycle: 18 relations
Tue Dec 09 18:17:22 2008  matrix is 55606 x 55945 (12.6 MB) with weight 3080958 (55.07/col)
Tue Dec 09 18:17:22 2008  sparse part has weight 3080958 (55.07/col)
Tue Dec 09 18:17:23 2008  filtering completed in 3 passes
Tue Dec 09 18:17:23 2008  matrix is 50632 x 50696 (11.5 MB) with weight 2810111 (55.43/col)
Tue Dec 09 18:17:23 2008  sparse part has weight 2810111 (55.43/col)
Tue Dec 09 18:17:23 2008  saving the first 48 matrix rows for later
Tue Dec 09 18:17:23 2008  matrix is 50584 x 50696 (7.2 MB) with weight 2173490 (42.87/col)
Tue Dec 09 18:17:23 2008  sparse part has weight 1570727 (30.98/col)
Tue Dec 09 18:17:23 2008  matrix includes 64 packed rows
Tue Dec 09 18:17:23 2008  using block size 20278 for processor cache size 512 kB
Tue Dec 09 18:17:24 2008  commencing Lanczos iteration
Tue Dec 09 18:17:24 2008  memory use: 7.2 MB
Tue Dec 09 18:17:48 2008  lanczos halted after 802 iterations (dim = 50583)
Tue Dec 09 18:17:48 2008  recovered 17 nontrivial dependencies
Tue Dec 09 18:17:48 2008  prp33 factor: 192989518424688578863761535141003
Tue Dec 09 18:17:48 2008  prp54 factor: 268036227003025546179556250126925130151642985964735177
Tue Dec 09 18:17:48 2008  elapsed time 00:55:54
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
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10128+179

c113

name 名前Sinkiti Sibata
date 日付December 10, 2008 09:40:27 UTC 2008 年 12 月 10 日 (水) 18 時 40 分 27 秒 (日本時間)
composite number 合成数
39773233885353014121246197866071226793184898803915251469110066826582204106553428084166597044517372637684307126891<113>
prime factors 素因数
5892987442010330386722922517752335244214957<43>
6749248030263033399317509977913277782333557881183738908126529217567863<70>
factorization results 素因数分解の結果
Number: 41113_128
N=39773233885353014121246197866071226793184898803915251469110066826582204106553428084166597044517372637684307126891
  ( 113 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=5892987442010330386722922517752335244214957 (pp43)
 r2=6749248030263033399317509977913277782333557881183738908126529217567863 (pp70)
Version: GGNFS-0.77.1-20060513-k8
Total time: 5.06 hours.
Scaled time: 9.91 units (timescale=1.960).
Factorization parameters were as follows:
name: 41113_128
n: 39773233885353014121246197866071226793184898803915251469110066826582204106553428084166597044517372637684307126891
m: 50000000000000000000000000
deg: 5
c5: 296
c0: 425
skew: 1.08
type: snfs
lss: 1
rlim: 1070000
alim: 1070000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1070000/1070000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [535000, 985001)
Primes: RFBsize:83548, AFBsize:83486, largePrimes:2816037 encountered
Relations: rels:2727760, finalFF:222088
Max relations in full relation-set: 28
Initial matrix: 167101 x 222088 with sparse part having weight 17817301.
Pruned matrix : 151342 x 152241 with weight 9260045.
Total sieving time: 4.76 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,1070000,1070000,26,26,47,47,2.3,2.3,50000
total time: 5.06 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10130+179

c122

name 名前Sinkiti Sibata
date 日付December 10, 2008 06:16:44 UTC 2008 年 12 月 10 日 (水) 15 時 16 分 44 秒 (日本時間)
composite number 合成数
20351570613433373197016275791874020012092224506120029900085311127306483973869120833832723060768618756333861528591308505001<122>
prime factors 素因数
7976815312434325655010026496828210010899659<43>
2551340330232941042791734672815796033637758911848411720302531081819024948523739<79>
factorization results 素因数分解の結果
Number: 41113_130
N=20351570613433373197016275791874020012092224506120029900085311127306483973869120833832723060768618756333861528591308505001
  ( 122 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=7976815312434325655010026496828210010899659 (pp43)
 r2=2551340330232941042791734672815796033637758911848411720302531081819024948523739 (pp79)
Version: GGNFS-0.77.1-20060513-k8
Total time: 5.22 hours.
Scaled time: 10.40 units (timescale=1.991).
Factorization parameters were as follows:
name: 41113_130
n: 20351570613433373197016275791874020012092224506120029900085311127306483973869120833832723060768618756333861528591308505001
m: 100000000000000000000000000
deg: 5
c5: 37
c0: 17
skew: 0.86
type: snfs
lss: 1
rlim: 1090000
alim: 1090000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1090000/1090000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [545000, 995001)
Primes: RFBsize:84976, AFBsize:84613, largePrimes:3064841 encountered
Relations: rels:3134879, finalFF:357436
Max relations in full relation-set: 28
Initial matrix: 169654 x 357436 with sparse part having weight 29515736.
Pruned matrix : 129023 x 129935 with weight 8435848.
Total sieving time: 4.95 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1090000,1090000,26,26,47,47,2.3,2.3,50000
total time: 5.22 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10131+179

c117

name 名前Sinkiti Sibata
date 日付December 10, 2008 22:59:41 UTC 2008 年 12 月 11 日 (木) 7 時 59 分 41 秒 (日本時間)
composite number 合成数
249296782672996691184964141338283467690861101743854481919392655376932888711640627577602280819968177366623021257632071<117>
prime factors 素因数
960213857480717092820466634798010164748470829921701<51>
259626312129121757923718106411025688347436635718952611864568981371<66>
factorization results 素因数分解の結果
Number: 41113_131
N=249296782672996691184964141338283467690861101743854481919392655376932888711640627577602280819968177366623021257632071
  ( 117 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=960213857480717092820466634798010164748470829921701 (pp51)
 r2=259626312129121757923718106411025688347436635718952611864568981371 (pp66)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 6.36 hours.
Scaled time: 3.00 units (timescale=0.472).
Factorization parameters were as follows:
name: 41113_131
n: 249296782672996691184964141338283467690861101743854481919392655376932888711640627577602280819968177366623021257632071
m: 200000000000000000000000000
deg: 5
c5: 185
c0: 272
skew: 1.08
type: snfs
lss: 1
rlim: 1190000
alim: 1190000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1190000/1190000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [595000, 1120001)
Primes: RFBsize:92225, AFBsize:92052, largePrimes:3078150 encountered
Relations: rels:3091713, finalFF:318832
Max relations in full relation-set: 28
Initial matrix: 184344 x 318832 with sparse part having weight 25571817.
Pruned matrix : 147637 x 148622 with weight 8816635.
Total sieving time: 5.87 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.32 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,133,5,0,0,0,0,0,0,0,0,1190000,1190000,26,26,47,47,2.3,2.3,75000
total time: 6.36 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10135+179

c126

name 名前Sinkiti Sibata
date 日付December 10, 2008 09:16:27 UTC 2008 年 12 月 10 日 (水) 18 時 16 分 27 秒 (日本時間)
composite number 合成数
165519698401965577994313589899056412124998401475059473398292465613085453691521316341029149043281052537325330258204555309170533<126>
prime factors 素因数
14641719656254489741568420087470167181<38>
11304662450032683330928990275564458178851499064755153440882955206425538566141385065716793<89>
factorization results 素因数分解の結果
Number: 41113_135
N=165519698401965577994313589899056412124998401475059473398292465613085453691521316341029149043281052537325330258204555309170533
  ( 126 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=14641719656254489741568420087470167181 (pp38)
 r2=11304662450032683330928990275564458178851499064755153440882955206425538566141385065716793 (pp89)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 8.28 hours.
Scaled time: 21.24 units (timescale=2.564).
Factorization parameters were as follows:
name: 41113_135
n: 165519698401965577994313589899056412124998401475059473398292465613085453691521316341029149043281052537325330258204555309170533
m: 1000000000000000000000000000
deg: 5
c5: 37
c0: 17
skew: 0.86
type: snfs
lss: 1
rlim: 1320000
alim: 1320000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1320000/1320000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [660000, 1335001)
Primes: RFBsize:101433, AFBsize:100876, largePrimes:3892874 encountered
Relations: rels:4437698, finalFF:763666
Max relations in full relation-set: 28
Initial matrix: 202374 x 763666 with sparse part having weight 76985798.
Pruned matrix : 137533 x 138608 with weight 18297906.
Total sieving time: 8.03 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1320000,1320000,26,26,48,48,2.3,2.3,75000
total time: 8.28 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10137+179

c131

name 名前Sinkiti Sibata
date 日付December 10, 2008 12:20:57 UTC 2008 年 12 月 10 日 (水) 21 時 20 分 57 秒 (日本時間)
composite number 合成数
10891768843306895154075712706353134324761596621568767901118846945776250198366340058726827993603917664456458889720578470321185399127<131>
prime factors 素因数
3219321487884923385567438048156219294654507482548165761458705309<64>
3383249819657721642586538439401357021436968537987233098257618204803<67>
factorization results 素因数分解の結果
Number: 41113_137
N=10891768843306895154075712706353134324761596621568767901118846945776250198366340058726827993603917664456458889720578470321185399127
  ( 131 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=3219321487884923385567438048156219294654507482548165761458705309 (pp64)
 r2=3383249819657721642586538439401357021436968537987233098257618204803 (pp67)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 10.43 hours.
Scaled time: 26.63 units (timescale=2.554).
Factorization parameters were as follows:
name: 41113_137
n: 10891768843306895154075712706353134324761596621568767901118846945776250198366340058726827993603917664456458889720578470321185399127
m: 2000000000000000000000000000
deg: 5
c5: 925
c0: 136
skew: 0.68
type: snfs
lss: 1
rlim: 1480000
alim: 1480000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1480000/1480000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [740000, 1715001)
Primes: RFBsize:112752, AFBsize:112144, largePrimes:3960082 encountered
Relations: rels:4364610, finalFF:588426
Max relations in full relation-set: 28
Initial matrix: 224963 x 588426 with sparse part having weight 63687211.
Pruned matrix : 163887 x 165075 with weight 21080585.
Total sieving time: 10.11 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,1480000,1480000,26,26,48,48,2.3,2.3,75000
total time: 10.43 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10138+179

c138

name 名前Sinkiti Sibata
date 日付December 10, 2008 05:59:59 UTC 2008 年 12 月 10 日 (水) 14 時 59 分 59 秒 (日本時間)
composite number 合成数
456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123457<138>
prime factors 素因数
510775719844408392390465528501098122071849389<45>
894306651059953932405219537564294331814846472823973070870460522554892046315226837865094032613<93>
factorization results 素因数分解の結果
Number: 41113_138
N=456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123457
  ( 138 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=510775719844408392390465528501098122071849389 (pp45)
 r2=894306651059953932405219537564294331814846472823973070870460522554892046315226837865094032613 (pp93)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 13.91 hours.
Scaled time: 35.81 units (timescale=2.575).
Factorization parameters were as follows:
name: 41113_138
n: 456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123457
m: 5000000000000000000000000000
deg: 5
c5: 296
c0: 425
skew: 1.08
type: snfs
lss: 1
rlim: 1570000
alim: 1570000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1570000/1570000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [785000, 2085001)
Primes: RFBsize:119057, AFBsize:119140, largePrimes:4269723 encountered
Relations: rels:4901265, finalFF:728520
Max relations in full relation-set: 28
Initial matrix: 238264 x 728520 with sparse part having weight 84654973.
Pruned matrix : 173166 x 174421 with weight 29237746.
Total sieving time: 13.48 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1570000,1570000,26,26,48,48,2.3,2.3,100000
total time: 13.91 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10139+179

c135

name 名前Sinkiti Sibata
date 日付December 10, 2008 22:43:18 UTC 2008 年 12 月 11 日 (木) 7 時 43 分 18 秒 (日本時間)
composite number 合成数
138455280628272643144985505228932064484237240503932317071573521812132649139724952971980019031988034470126027983683232279688647752178519<135>
prime factors 素因数
776571400668482335948948936970269317882230994910909567<54>
178290470791338198590566039041674126404436054299479729486821730640619604606479657<81>
factorization results 素因数分解の結果
Number: 41113_139
N=138455280628272643144985505228932064484237240503932317071573521812132649139724952971980019031988034470126027983683232279688647752178519
  ( 135 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=776571400668482335948948936970269317882230994910909567 (pp54)
 r2=178290470791338198590566039041674126404436054299479729486821730640619604606479657 (pp81)
Version: GGNFS-0.77.1-20060513-k8
Total time: 13.11 hours.
Scaled time: 25.69 units (timescale=1.960).
Factorization parameters were as follows:
name: 4113_139
n: 138455280628272643144985505228932064484237240503932317071573521812132649139724952971980019031988034470126027983683232279688647752178519
m: 10000000000000000000000000000
deg: 5
c5: 37
c0: 170
skew: 1.36
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [800000, 1900001)
Primes: RFBsize:121127, AFBsize:121245, largePrimes:3766307 encountered
Relations: rels:3795612, finalFF:280228
Max relations in full relation-set: 28
Initial matrix: 242437 x 280228 with sparse part having weight 27780523.
Pruned matrix : 230429 x 231705 with weight 20668622.
Total sieving time: 12.18 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.70 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1600000,1600000,26,26,48,48,2.3,2.3,100000
total time: 13.11 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10140+179

c94

name 名前Sinkiti Sibata
date 日付December 10, 2008 06:29:18 UTC 2008 年 12 月 10 日 (水) 15 時 29 分 18 秒 (日本時間)
composite number 合成数
5713157802205729067441731387747770291115643749641748842990579584482566967465904050235120292743<94>
prime factors 素因数
349677359272427213877770746562063814121121<42>
16338369215819639791633317799316136066415149505855783<53>
factorization results 素因数分解の結果
Wed Dec 10 08:05:54 2008  Msieve v. 1.39
Wed Dec 10 08:05:54 2008  random seeds: 6ad396f0 4eea3e53
Wed Dec 10 08:05:54 2008  factoring 5713157802205729067441731387747770291115643749641748842990579584482566967465904050235120292743 (94 digits)
Wed Dec 10 08:05:55 2008  searching for 15-digit factors
Wed Dec 10 08:05:56 2008  commencing quadratic sieve (94-digit input)
Wed Dec 10 08:05:56 2008  using multiplier of 2
Wed Dec 10 08:05:56 2008  using 32kb Intel Core sieve core
Wed Dec 10 08:05:56 2008  sieve interval: 36 blocks of size 32768
Wed Dec 10 08:05:56 2008  processing polynomials in batches of 6
Wed Dec 10 08:05:56 2008  using a sieve bound of 2059517 (76366 primes)
Wed Dec 10 08:05:56 2008  using large prime bound of 284213346 (28 bits)
Wed Dec 10 08:05:56 2008  using double large prime bound of 1646493387513360 (42-51 bits)
Wed Dec 10 08:05:56 2008  using trial factoring cutoff of 51 bits
Wed Dec 10 08:05:56 2008  polynomial 'A' values have 12 factors
Wed Dec 10 11:37:41 2008  76516 relations (18643 full + 57873 combined from 1110238 partial), need 76462
Wed Dec 10 11:37:42 2008  begin with 1128881 relations
Wed Dec 10 11:37:43 2008  reduce to 200010 relations in 10 passes
Wed Dec 10 11:37:43 2008  attempting to read 200010 relations
Wed Dec 10 11:37:46 2008  recovered 200010 relations
Wed Dec 10 11:37:46 2008  recovered 184776 polynomials
Wed Dec 10 11:37:46 2008  attempting to build 76516 cycles
Wed Dec 10 11:37:46 2008  found 76516 cycles in 5 passes
Wed Dec 10 11:37:46 2008  distribution of cycle lengths:
Wed Dec 10 11:37:46 2008     length 1 : 18643
Wed Dec 10 11:37:46 2008     length 2 : 13452
Wed Dec 10 11:37:46 2008     length 3 : 12666
Wed Dec 10 11:37:46 2008     length 4 : 10268
Wed Dec 10 11:37:46 2008     length 5 : 7802
Wed Dec 10 11:37:46 2008     length 6 : 5394
Wed Dec 10 11:37:46 2008     length 7 : 3439
Wed Dec 10 11:37:46 2008     length 9+: 4852
Wed Dec 10 11:37:46 2008  largest cycle: 19 relations
Wed Dec 10 11:37:46 2008  matrix is 76366 x 76516 (20.2 MB) with weight 4995764 (65.29/col)
Wed Dec 10 11:37:46 2008  sparse part has weight 4995764 (65.29/col)
Wed Dec 10 11:37:48 2008  filtering completed in 3 passes
Wed Dec 10 11:37:48 2008  matrix is 72912 x 72975 (19.4 MB) with weight 4801996 (65.80/col)
Wed Dec 10 11:37:48 2008  sparse part has weight 4801996 (65.80/col)
Wed Dec 10 11:37:48 2008  saving the first 48 matrix rows for later
Wed Dec 10 11:37:48 2008  matrix is 72864 x 72975 (12.3 MB) with weight 3807587 (52.18/col)
Wed Dec 10 11:37:48 2008  sparse part has weight 2779634 (38.09/col)
Wed Dec 10 11:37:48 2008  matrix includes 64 packed rows
Wed Dec 10 11:37:48 2008  using block size 29190 for processor cache size 1024 kB
Wed Dec 10 11:37:48 2008  commencing Lanczos iteration
Wed Dec 10 11:37:48 2008  memory use: 11.8 MB
Wed Dec 10 11:38:25 2008  lanczos halted after 1154 iterations (dim = 72861)
Wed Dec 10 11:38:25 2008  recovered 16 nontrivial dependencies
Wed Dec 10 11:38:26 2008  prp42 factor: 349677359272427213877770746562063814121121
Wed Dec 10 11:38:26 2008  prp53 factor: 16338369215819639791633317799316136066415149505855783
Wed Dec 10 11:38:26 2008  elapsed time 03:32:32

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10145+179

c140

name 名前Serge Batalov
date 日付December 10, 2008 06:29:09 UTC 2008 年 12 月 10 日 (水) 15 時 29 分 9 秒 (日本時間)
composite number 合成数
54651370781929657186721725707133348015350240694976372144521266546994935294992590308066822969587102985486220690802189068041990568355054299091<140>
prime factors 素因数
527010246557101099424149801137279030430573559<45>
31339397888629582441406376485402492357432031637<47>
3308958741102845839413788208190473225543080012977<49>
factorization results 素因数分解の結果
SNFS difficulty: 146 digits.
Divisors found:
 r1=527010246557101099424149801137279030430573559 (pp45)
 r2=31339397888629582441406376485402492357432031637 (pp47)
 r3=3308958741102845839413788208190473225543080012977 (pp49)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
n: 54651370781929657186721725707133348015350240694976372144521266546994935294992590308066822969587102985486220690802189068041990568355054299091
m: 100000000000000000000000000000
deg: 5
c5: 37
c0: 17
skew: 0.86
type: snfs
lss: 1
rlim: 1940000
alim: 1940000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1940000/1940000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [970000, 2270001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 299480 x 299728
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1940000,1940000,26,26,49,49,2.3,2.3,100000
total time: 8.00 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
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10146+179

c112

name 名前Sinkiti Sibata
date 日付December 11, 2008 09:09:35 UTC 2008 年 12 月 11 日 (木) 18 時 9 分 35 秒 (日本時間)
composite number 合成数
1429906330237763419256584585374257947640589473325192065862091090909240113617417060828411324961594265051290003611<112>
prime factors 素因数
1766069054027965440964145667998262780071429651417<49>
809654824638086357101658646633649047759620702589883621852808083<63>
factorization results 素因数分解の結果
Number: 41113_146
N=1429906330237763419256584585374257947640589473325192065862091090909240113617417060828411324961594265051290003611
  ( 112 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=1766069054027965440964145667998262780071429651417 (pp49)
 r2=809654824638086357101658646633649047759620702589883621852808083 (pp63)
Version: GGNFS-0.77.1-20060513-k8
Total time: 18.72 hours.
Scaled time: 37.16 units (timescale=1.985).
Factorization parameters were as follows:
name: 41113_146
n: 1429906330237763419256584585374257947640589473325192065862091090909240113617417060828411324961594265051290003611
m: 200000000000000000000000000000
deg: 5
c5: 185
c0: 272
skew: 1.08
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2550001)
Primes: RFBsize:155805, AFBsize:155967, largePrimes:4338843 encountered
Relations: rels:4571767, finalFF:444860
Max relations in full relation-set: 28
Initial matrix: 311839 x 444860 with sparse part having weight 45290513.
Pruned matrix : 265410 x 267033 with weight 24710851.
Total sieving time: 17.66 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.78 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 18.72 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10149+179

c141

name 名前Serge Batalov
date 日付December 9, 2008 21:16:47 UTC 2008 年 12 月 10 日 (水) 6 時 16 分 47 秒 (日本時間)
composite number 合成数
286923555081062162733511633167309849357969023725083664037487414246564828422429366465681656070344422660967747279191186823140204095032394556893<141>
prime factors 素因数
2109610728710016200472049234081<31>
composite cofactor 合成数の残り
136007819440940199626993346046725191626984715365734593965157745676287529081814105333269047742828239066669342653<111>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=640405658
Step 1 took 3933ms
Step 2 took 2762ms
********** Factor found in step 2: 2109610728710016200472049234081
Found probable prime factor of 31 digits: 2109610728710016200472049234081
Composite cofactor has 111 digits
software ソフトウェア
GMP-ECM 6.2.1

c111

name 名前Robert Backstrom
date 日付December 11, 2008 05:56:55 UTC 2008 年 12 月 11 日 (木) 14 時 56 分 55 秒 (日本時間)
composite number 合成数
136007819440940199626993346046725191626984715365734593965157745676287529081814105333269047742828239066669342653<111>
prime factors 素因数
1422639995218516766085174683074889<34>
95602415156372339326148758212848196389050952859263144734499019891465623985877<77>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 136007819440940199626993346046725191626984715365734593965157745676287529081814105333269047742828239066669342653 (111 digits)
Using B1=1474000, B2=2140044280, polynomial Dickson(6), sigma=4067917861
Step 1 took 11515ms
Step 2 took 6016ms
********** Factor found in step 2: 1422639995218516766085174683074889
Found probable prime factor of 34 digits: 1422639995218516766085174683074889
Probable prime cofactor 95602415156372339326148758212848196389050952859263144734499019891465623985877 has 77 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10150+179

c117

name 名前Sinkiti Sibata
date 日付December 11, 2008 22:56:58 UTC 2008 年 12 月 12 日 (金) 7 時 56 分 58 秒 (日本時間)
composite number 合成数
128519033767075013780786115315087147448685727330032367627926634125513383045933845733508432136406988335267399195376963<117>
prime factors 素因数
2594925527914511341596318466274576379113700104320912139<55>
49527060558983801304162718190994337266256570404149672188885417<62>
factorization results 素因数分解の結果
Number: 41113_150
N=128519033767075013780786115315087147448685727330032367627926634125513383045933845733508432136406988335267399195376963
  ( 117 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=2594925527914511341596318466274576379113700104320912139 (pp55)
 r2=49527060558983801304162718190994337266256570404149672188885417 (pp62)
Version: GGNFS-0.77.1-20060513-k8
Total time: 23.56 hours.
Scaled time: 47.36 units (timescale=2.010).
Factorization parameters were as follows:
name: 41113_146
n: 128519033767075013780786115315087147448685727330032367627926634125513383045933845733508432136406988335267399195376963
m: 1000000000000000000000000000000
deg: 5
c5: 37
c0: 17
skew: 0.86
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 1900001)
Primes: RFBsize:176302, AFBsize:175998, largePrimes:6927169 encountered
Relations: rels:6882552, finalFF:472100
Max relations in full relation-set: 28
Initial matrix: 352365 x 472100 with sparse part having weight 48448512.
Pruned matrix : 304761 x 306586 with weight 28267595.
Total sieving time: 21.83 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.40 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 23.56 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10151+179

c122

name 名前Serge Batalov
date 日付December 9, 2008 21:08:04 UTC 2008 年 12 月 10 日 (水) 6 時 8 分 4 秒 (日本時間)
composite number 合成数
70169053925223869342312997067710363648684750489924384985629351440233128155112500975858648842539188838214733206732246541069<122>
prime factors 素因数
273368539496778091201031494207412509<36>
256682989397362158875629863353292151892741767670591065562820018228860886687460955569841<87>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3498479059
Step 1 took 3272ms
Step 2 took 2434ms
********** Factor found in step 2: 273368539496778091201031494207412509
Found probable prime factor of 36 digits: 273368539496778091201031494207412509
Probable prime cofactor 256682989397362158875629863353292151892741767670591065562820018228860886687460955569841 has 87 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
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10152+179

c123

name 名前Serge Batalov
date 日付December 9, 2008 22:12:12 UTC 2008 年 12 月 10 日 (水) 7 時 12 分 12 秒 (日本時間)
composite number 合成数
664232844606611697414800968141091619417666581939136406657108713449851502790764165526986913743223686946181098576314998740007<123>
prime factors 素因数
14460141021394288398859618298437<32>
composite cofactor 合成数の残り
45935433383661735240212241640772496532456843193944056659319372052651886889596389102266335611<92>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2586452568
Step 1 took 9809ms
Step 2 took 5755ms
********** Factor found in step 2: 14460141021394288398859618298437
Found probable prime factor of 32 digits: 14460141021394288398859618298437
Composite cofactor has 92 digits
software ソフトウェア
GMP-ECM 6.2.1

c92

name 名前Jo Yeong Uk
date 日付December 11, 2008 00:41:07 UTC 2008 年 12 月 11 日 (木) 9 時 41 分 7 秒 (日本時間)
composite number 合成数
45935433383661735240212241640772496532456843193944056659319372052651886889596389102266335611<92>
prime factors 素因数
151493134078234480918166746651747002165127<42>
303217922469936086150886963014441185305391540464493<51>
factorization results 素因数分解の結果
Thu Dec 11 00:23:15 2008  
Thu Dec 11 00:23:15 2008  
Thu Dec 11 00:23:15 2008  Msieve v. 1.39
Thu Dec 11 00:23:15 2008  random seeds: e8ff7218 79ab8c9f
Thu Dec 11 00:23:15 2008  factoring 45935433383661735240212241640772496532456843193944056659319372052651886889596389102266335611 (92 digits)
Thu Dec 11 00:23:16 2008  searching for 15-digit factors
Thu Dec 11 00:23:16 2008  commencing quadratic sieve (92-digit input)
Thu Dec 11 00:23:16 2008  using multiplier of 7
Thu Dec 11 00:23:16 2008  using VC8 32kb sieve core
Thu Dec 11 00:23:16 2008  sieve interval: 36 blocks of size 32768
Thu Dec 11 00:23:16 2008  processing polynomials in batches of 6
Thu Dec 11 00:23:16 2008  using a sieve bound of 1815199 (68235 primes)
Thu Dec 11 00:23:16 2008  using large prime bound of 197856691 (27 bits)
Thu Dec 11 00:23:16 2008  using double large prime bound of 857889398643883 (42-50 bits)
Thu Dec 11 00:23:16 2008  using trial factoring cutoff of 50 bits
Thu Dec 11 00:23:16 2008  polynomial 'A' values have 12 factors
Thu Dec 11 02:03:10 2008  68560 relations (18147 full + 50413 combined from 851687 partial), need 68331
Thu Dec 11 02:03:15 2008  begin with 869834 relations
Thu Dec 11 02:03:16 2008  reduce to 170582 relations in 12 passes
Thu Dec 11 02:03:16 2008  attempting to read 170582 relations
Thu Dec 11 02:03:18 2008  recovered 170582 relations
Thu Dec 11 02:03:18 2008  recovered 148573 polynomials
Thu Dec 11 02:03:18 2008  attempting to build 68560 cycles
Thu Dec 11 02:03:18 2008  found 68560 cycles in 5 passes
Thu Dec 11 02:03:18 2008  distribution of cycle lengths:
Thu Dec 11 02:03:18 2008     length 1 : 18147
Thu Dec 11 02:03:18 2008     length 2 : 12790
Thu Dec 11 02:03:18 2008     length 3 : 11984
Thu Dec 11 02:03:18 2008     length 4 : 9132
Thu Dec 11 02:03:18 2008     length 5 : 6502
Thu Dec 11 02:03:18 2008     length 6 : 4199
Thu Dec 11 02:03:18 2008     length 7 : 2537
Thu Dec 11 02:03:18 2008     length 9+: 3269
Thu Dec 11 02:03:18 2008  largest cycle: 19 relations
Thu Dec 11 02:03:18 2008  matrix is 68235 x 68560 (18.0 MB) with weight 4182462 (61.00/col)
Thu Dec 11 02:03:18 2008  sparse part has weight 4182462 (61.00/col)
Thu Dec 11 02:03:19 2008  filtering completed in 4 passes
Thu Dec 11 02:03:19 2008  matrix is 63856 x 63920 (16.9 MB) with weight 3920443 (61.33/col)
Thu Dec 11 02:03:19 2008  sparse part has weight 3920443 (61.33/col)
Thu Dec 11 02:03:19 2008  saving the first 48 matrix rows for later
Thu Dec 11 02:03:19 2008  matrix is 63808 x 63920 (10.8 MB) with weight 3072139 (48.06/col)
Thu Dec 11 02:03:19 2008  sparse part has weight 2189768 (34.26/col)
Thu Dec 11 02:03:19 2008  matrix includes 64 packed rows
Thu Dec 11 02:03:19 2008  using block size 25568 for processor cache size 4096 kB
Thu Dec 11 02:03:20 2008  commencing Lanczos iteration
Thu Dec 11 02:03:20 2008  memory use: 9.7 MB
Thu Dec 11 02:03:46 2008  lanczos halted after 1011 iterations (dim = 63805)
Thu Dec 11 02:03:46 2008  recovered 16 nontrivial dependencies
Thu Dec 11 02:03:47 2008  prp42 factor: 151493134078234480918166746651747002165127
Thu Dec 11 02:03:47 2008  prp51 factor: 303217922469936086150886963014441185305391540464493
Thu Dec 11 02:03:47 2008  elapsed time 01:40:32

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10153+179

c136

name 名前Sinkiti Sibata
date 日付December 11, 2008 00:05:18 UTC 2008 年 12 月 11 日 (木) 9 時 5 分 18 秒 (日本時間)
composite number 合成数
3900626274079522038818045807979827636445703910575290215266426929996301350563243058786329016398052678670849180356191187091400100973157929<136>
prime factors 素因数
147798446122814265682532579169586489229599427021466891689<57>
26391524244025315181901986791051403695472473000891951978687175963298942219564161<80>
factorization results 素因数分解の結果
Number: 41113_153
N=3900626274079522038818045807979827636445703910575290215266426929996301350563243058786329016398052678670849180356191187091400100973157929
  ( 136 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=147798446122814265682532579169586489229599427021466891689 (pp57)
 r2=26391524244025315181901986791051403695472473000891951978687175963298942219564161 (pp80)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 41.73 hours.
Scaled time: 106.57 units (timescale=2.554).
Factorization parameters were as follows:
name: 41113_153
n: 3900626274079522038818045807979827636445703910575290215266426929996301350563243058786329016398052678670849180356191187091400100973157929
m: 5000000000000000000000000000000
deg: 5
c5: 296
c0: 425
skew: 1.08
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, 2700001)
Primes: RFBsize:203362, AFBsize:203142, largePrimes:8729745 encountered
Relations: rels:9617308, finalFF:1012297
Max relations in full relation-set: 28
Initial matrix: 406571 x 1012297 with sparse part having weight 128521276.
Pruned matrix : 295909 x 298005 with weight 56250693.
Total sieving time: 40.10 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.34 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 41.73 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10154+179

c133

name 名前Sinkiti Sibata
date 日付December 11, 2008 11:12:17 UTC 2008 年 12 月 11 日 (木) 20 時 12 分 17 秒 (日本時間)
composite number 合成数
1738771966214195899844411429013914390022469286286495172486315067514102830946952647912317598944637037955520844369709805096681505933319<133>
prime factors 素因数
131233336262996763208529705822455103762873856738445745721093470207<66>
13249468585707739286382083178667357680893222111820417576063166951417<68>
factorization results 素因数分解の結果
Number: 41113_154
N=1738771966214195899844411429013914390022469286286495172486315067514102830946952647912317598944637037955520844369709805096681505933319
  ( 133 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=131233336262996763208529705822455103762873856738445745721093470207 (pp66)
 r2=13249468585707739286382083178667357680893222111820417576063166951417 (pp68)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 41.45 hours.
Scaled time: 106.29 units (timescale=2.564).
Factorization parameters were as follows:
name: 41113_154
n: 1738771966214195899844411429013914390022469286286495172486315067514102830946952647912317598944637037955520844369709805096681505933319
m: 10000000000000000000000000000000
deg: 5
c5: 37
c0: 170
skew: 1.36
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, 2700001)
Primes: RFBsize:203362, AFBsize:203707, largePrimes:8480197 encountered
Relations: rels:8996442, finalFF:695451
Max relations in full relation-set: 28
Initial matrix: 407134 x 695451 with sparse part having weight 87013355.
Pruned matrix : 330217 x 332316 with weight 45838888.
Total sieving time: 39.80 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.37 hours.
Time per square root: 0.14 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: 41.45 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10155+179

c147

name 名前Serge Batalov
date 日付December 10, 2008 18:04:55 UTC 2008 年 12 月 11 日 (木) 3 時 4 分 55 秒 (日本時間)
composite number 合成数
591066120352941893887663346036595083426801534338445775875833713878874483567579011073947892692959927688804698516989496494173497266774234406515458333<147>
prime factors 素因数
4812749602630778901982598117461876860320447<43>
150708074931584761567153708706295660448302303155627<51>
814903676675932977298347920721395104373594560096382057<54>
factorization results 素因数分解の結果
SNFS difficulty: 156 digits.
Divisors found:
 r1=4812749602630778901982598117461876860320447 (pp43)
 r2=150708074931584761567153708706295660448302303155627 (pp51)
 r3=814903676675932977298347920721395104373594560096382057 (pp54)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.730).
Factorization parameters were as follows:
n: 591066120352941893887663346036595083426801534338445775875833713878874483567579011073947892692959927688804698516989496494173497266774234406515458333
m: 10000000000000000000000000000000
deg: 5
c5: 37
c0: 17
skew: 0.86
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
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: 52/52
Sieved rational special-q in [1400000, 2400001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 506992 x 507240
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,52,52,2.4,2.4,100000
total time: 11.00 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
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)
351e60--
403e6350 / 2336Serge BatalovDecember 10, 2008 00:24:55 UTC 2008 年 12 月 10 日 (水) 9 時 24 分 55 秒 (日本時間)

37×10156+179

c131

name 名前Sinkiti Sibata
date 日付December 23, 2008 08:01:43 UTC 2008 年 12 月 23 日 (火) 17 時 1 分 43 秒 (日本時間)
composite number 合成数
14629497485512292314226146150939449758591397444048985543210067506643763064342654028641902815319618485210777765254764855395452758617<131>
prime factors 素因数
3797525954125859456188033584306947<34>
3852375905322761719761070474805539193083531228124173816698883017752530486655049572263981171562611<97>
factorization results 素因数分解の結果
Number: 42227_156
N=14629497485512292314226146150939449758591397444048985543210067506643763064342654028641902815319618485210777765254764855395452758617
  ( 131 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=3797525954125859456188033584306947
 r2=3852375905322761719761070474805539193083531228124173816698883017752530486655049572263981171562611
Version: 
Total time: 30.38 hours.
Scaled time: 60.50 units (timescale=1.991).
Factorization parameters were as follows:
name: 42227_156
n: 14629497485512292314226146150939449758591397444048985543210067506643763064342654028641902815319618485210777765254764855395452758617
m: 20000000000000000000000000000000
deg: 5
c5: 185
c0: 272
skew: 1.08
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 2650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 579590 x 579838
Total sieving time: 30.38 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,158,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 30.38 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
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10157+179

c123

name 名前Sinkiti Sibata
date 日付December 13, 2008 08:05:54 UTC 2008 年 12 月 13 日 (土) 17 時 5 分 54 秒 (日本時間)
composite number 合成数
246290264092976747496854725207962020306973824437463180894048095584859846285349289378058603553803801996749502615192448691937<123>
prime factors 素因数
2352669523486813031676403292583158308856321454209<49>
104685448438146196434694486111792280502604118654516603864565957058052394593<75>
factorization results 素因数分解の結果
Number: 41113_157
N=246290264092976747496854725207962020306973824437463180894048095584859846285349289378058603553803801996749502615192448691937
  ( 123 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=2352669523486813031676403292583158308856321454209 (pp49)
 r2=104685448438146196434694486111792280502604118654516603864565957058052394593 (pp75)
Version: GGNFS-0.77.1-20060513-k8
Total time: 51.04 hours.
Scaled time: 99.79 units (timescale=1.955).
Factorization parameters were as follows:
name: 41113_157
n: 246290264092976747496854725207962020306973824437463180894048095584859846285349289378058603553803801996749502615192448691937
m: 20000000000000000000000000000000
deg: 5
c5: 925
c0: 136
skew: 0.68
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 3100001)
Primes: RFBsize:230209, AFBsize:229217, largePrimes:8087006 encountered
Relations: rels:8152494, finalFF:518868
Max relations in full relation-set: 28
Initial matrix: 459493 x 518868 with sparse part having weight 54487834.
Pruned matrix : 437407 x 439768 with weight 42949203.
Total sieving time: 47.24 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 3.31 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 51.04 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10160+179

c134

name 名前Sinkiti Sibata
date 日付December 12, 2008 21:10:12 UTC 2008 年 12 月 13 日 (土) 6 時 10 分 12 秒 (日本時間)
composite number 合成数
80657877286595255360501423871032632999300536701774910703390394464930393749780818957506729438603944423745442718258274615558035407604421<134>
prime factors 素因数
182534298451988745491465996097413122160200468742407<51>
441877926343855694297910384601660321631744164035971667970314416322997130688858619603<84>
factorization results 素因数分解の結果
Number: 41113_160
N=80657877286595255360501423871032632999300536701774910703390394464930393749780818957506729438603944423745442718258274615558035407604421
  ( 134 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=182534298451988745491465996097413122160200468742407 (pp51)
 r2=441877926343855694297910384601660321631744164035971667970314416322997130688858619603 (pp84)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 46.00 hours.
Scaled time: 117.48 units (timescale=2.554).
Factorization parameters were as follows:
name: 41113_160
n: 80657877286595255360501423871032632999300536701774910703390394464930393749780818957506729438603944423745442718258274615558035407604421
m: 100000000000000000000000000000000
deg: 5
c5: 37
c0: 17
skew: 0.86
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, 3050001)
Primes: RFBsize:250150, AFBsize:250081, largePrimes:9043720 encountered
Relations: rels:9246377, finalFF:577662
Max relations in full relation-set: 28
Initial matrix: 500296 x 577662 with sparse part having weight 61823295.
Pruned matrix : 466400 x 468965 with weight 47236517.
Total sieving time: 43.14 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.53 hours.
Time per square root: 0.19 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: 46.00 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10161+179

c157

name 名前Serge Batalov
date 日付December 10, 2008 07:14:45 UTC 2008 年 12 月 10 日 (水) 16 時 14 分 45 秒 (日本時間)
composite number 合成数
9076703047073744532512995630916722476124591241717508469545208114081891486788490740536310491932773521539997595900274018305502199260616676111344161594752193741<157>
prime factors 素因数
154488738576400451457982464398604103495508054393481467<54>
58753169523647679059266422943937672486812220399742768615027955753094899381427335186690263375374322360023<104>
factorization results 素因数分解の結果
SNFS difficulty: 163 digits.
Divisors found:
 r1=154488738576400451457982464398604103495508054393481467 (pp54)
 r2=58753169523647679059266422943937672486812220399742768615027955753094899381427335186690263375374322360023 (pp104)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.951).
Factorization parameters were as follows:
n: 9076703047073744532512995630916722476124591241717508469545208114081891486788490740536310491932773521539997595900274018305502199260616676111344161594752193741
m: 200000000000000000000000000000000
deg: 5
c5: 185
c0: 272
skew: 1.08
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1900000, 3500001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 728927 x 729175
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,52,52,2.4,2.4,200000
total time: 28.00 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
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10162+179

c115

name 名前Sinkiti Sibata
date 日付December 13, 2008 21:36:33 UTC 2008 年 12 月 14 日 (日) 6 時 36 分 33 秒 (日本時間)
composite number 合成数
1538826375830991453057437176484248990299753945815650506175461641309026854092360282091108310398235858496090886198593<115>
prime factors 素因数
130111273985304522814275954174641281081665867559899941167<57>
11827002600902938664289039732901650255844924476182741339279<59>
factorization results 素因数分解の結果
Number: 41113_162
N=1538826375830991453057437176484248990299753945815650506175461641309026854092360282091108310398235858496090886198593
  ( 115 digits)
Divisors found:
 r1=130111273985304522814275954174641281081665867559899941167 (pp57)
 r2=11827002600902938664289039732901650255844924476182741339279 (pp59)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 57.40 hours.
Scaled time: 27.15 units (timescale=0.473).
Factorization parameters were as follows:
name: 41113_162
n: 1538826375830991453057437176484248990299753945815650506175461641309026854092360282091108310398235858496090886198593
skew: 68560.79
# norm 5.34e+15
c5: 16380
c4: -491501907
c3: -284502307743748
c2: 2095670281966397398
c1: 491009361245004074554604
c0: -4355927952840396465531407136
# alpha -5.95
Y1: 2733249033247
Y0: -9875881410257126254633
# Murphy_E 5.70e-10
# M 1019663148516304371654520437573394188902720054438743156392681884195776859271800520987608419626613033809430724205437
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2950001)
Primes: RFBsize:250150, AFBsize:250583, largePrimes:7640929 encountered
Relations: rels:7618928, finalFF:654352
Max relations in full relation-set: 28
Initial matrix: 500815 x 654352 with sparse part having weight 58437435.
Pruned matrix : 379734 x 382302 with weight 34243244.
Total sieving time: 50.65 hours.
Total relation processing time: 0.58 hours.
Matrix solve time: 5.82 hours.
Time per square root: 0.35 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 57.40 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10163+179

c133

name 名前Jo Yeong Uk
date 日付January 19, 2009 09:51:32 UTC 2009 年 1 月 19 日 (月) 18 時 51 分 32 秒 (日本時間)
composite number 合成数
1911890646370876376235553188966780688265478666291531097174081860068199318204711570672140611944772184016625969886744063563671797998627<133>
prime factors 素因数
201971245076419635985427244193183158857<39>
766865902905323843944912313206274717756086063<45>
12343947829085375388272773864904907879747898874597<50>
factorization results 素因数分解の結果
Number: 41113_163
N=1911890646370876376235553188966780688265478666291531097174081860068199318204711570672140611944772184016625969886744063563671797998627
  ( 133 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=201971245076419635985427244193183158857
 r2=766865902905323843944912313206274717756086063
 r3=12343947829085375388272773864904907879747898874597
Version: 
Total time: 31.70 hours.
Scaled time: 75.68 units (timescale=2.387).
Factorization parameters were as follows:
n: 1911890646370876376235553188966780688265478666291531097174081860068199318204711570672140611944772184016625969886744063563671797998627
m: 1000000000000000000000000000000000
deg: 5
c5: 37
c0: 1700
skew: 2.15
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2400000, 4900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9945719
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 872346 x 872593
Total sieving time: 28.46 hours.
Total relation processing time: 1.22 hours.
Matrix solve time: 1.80 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,51,51,2.4,2.4,100000
total time: 31.70 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: 8046968k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.84 BogoMIPS (lpj=2672421)
Calibrating delay using timer specific routine.. 5344.41 BogoMIPS (lpj=2672207)
Calibrating delay using timer specific routine.. 5291.27 BogoMIPS (lpj=2645639)
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
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10164+179

c157

name 名前Serge Batalov
date 日付December 11, 2008 18:51:13 UTC 2008 年 12 月 12 日 (金) 3 時 51 分 13 秒 (日本時間)
composite number 合成数
2634269857775321840869725580967908335673437123950190687283775436756264499657615758989437524071575279256687134437966554155078736051321283939511898373622365593<157>
prime factors 素因数
39322735725815644225314040621429171304048596658405725916552678760370150874401<77>
66991011921022211860576233057936764080376246489288267299249722416243173674326393<80>
factorization results 素因数分解の結果
SNFS difficulty: 166 digits.
Divisors found:
 r1=39322735725815644225314040621429171304048596658405725916552678760370150874401 (pp77)
 r2=66991011921022211860576233057936764080376246489288267299249722416243173674326393 (pp80)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.944).
Factorization parameters were as follows:
n: 2634269857775321840869725580967908335673437123950190687283775436756264499657615758989437524071575279256687134437966554155078736051321283939511898373622365593
m: 1000000000000000000000000000000000
deg: 5
c5: 37
c0: 170
skew: 1.36
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2100000, 4700001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 805341 x 805588
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,52,52,2.4,2.4,200000
total time: 47.00 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
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10166+179

c165

name 名前Serge Batalov
date 日付December 10, 2008 18:02:45 UTC 2008 年 12 月 11 日 (木) 3 時 2 分 45 秒 (日本時間)
composite number 合成数
673952641165755919854280510018214936247723132969034608378870673952641165755919854280510018214936247723132969034608378870673952641165755919854280510018214936247723133<165>
prime factors 素因数
4188456316799221800062368322618682657246331640966662822479121968077244812718221<79>
160907167268914976547336082636897002177991578144842220208538078678074396886300458033073<87>
factorization results 素因数分解の結果
SNFS difficulty: 168 digits.
Divisors found:
 r1=4188456316799221800062368322618682657246331640966662822479121968077244812718221 (pp79)
 r2=160907167268914976547336082636897002177991578144842220208538078678074396886300458033073 (pp87)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.949).
Factorization parameters were as follows:
n: 673952641165755919854280510018214936247723132969034608378870673952641165755919854280510018214936247723132969034608378870673952641165755919854280510018214936247723133
m: 2000000000000000000000000000000000
deg: 5
c5: 185
c0: 272
skew: 1.08
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2250000, 4650001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 806657 x 806905
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,200000
total time: 42.00 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
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10167+179

c148

name 名前Robert Backstrom
date 日付April 5, 2009 13:11:44 UTC 2009 年 4 月 5 日 (日) 22 時 11 分 44 秒 (日本時間)
composite number 合成数
6965077529249110553611950308829260280080127396948883048161401576107756620314473740991982962973447965340956826328069876057159678111842314192137433651<148>
prime factors 素因数
173207329770929129788153516150523370482395041926341393891<57>
40212371719260342715433361435253229581586380261851521721210578233067994371204047342065429361<92>
factorization results 素因数分解の結果
Number: n
N=6965077529249110553611950308829260280080127396948883048161401576107756620314473740991982962973447965340956826328069876057159678111842314192137433651
  ( 148 digits)
SNFS difficulty: 168 digits.
Divisors found:

Sun Apr 05 23:04:03 2009  prp57 factor: 173207329770929129788153516150523370482395041926341393891
Sun Apr 05 23:04:03 2009  prp92 factor: 40212371719260342715433361435253229581586380261851521721210578233067994371204047342065429361
Sun Apr 05 23:04:03 2009  elapsed time 01:51:37 (Msieve 1.40 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 49.39 hours.
Scaled time: 130.35 units (timescale=2.639).
Factorization parameters were as follows:
name: KA_4_1_166_3
n: 6965077529249110553611950308829260280080127396948883048161401576107756620314473740991982962973447965340956826328069876057159678111842314192137433651
skew: 0.34
deg: 5
c5: 3700
c0: 17
m: 1000000000000000000000000000000000
type: snfs
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [3000000, 5916623)
Primes: RFBsize:412849, AFBsize:411316, largePrimes:17134015 encountered
Relations: rels:16290176, finalFF:820249
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1583804 hash collisions in 17495448 relations
Msieve: matrix is 1034114 x 1034362 (277.9 MB)

Total sieving time: 48.45 hours.
Total relation processing time: 0.95 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,56,56,2.4,2.4,100000
total time: 49.39 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
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10169+179

c112

name 名前Serge Batalov
date 日付December 9, 2008 20:28:40 UTC 2008 年 12 月 10 日 (水) 5 時 28 分 40 秒 (日本時間)
composite number 合成数
2321524803870201326276395666948463793959235075306479754922474270192851077593813666439660735893413338918179930759<112>
prime factors 素因数
8425498979072827488852800911267<31>
275535586632481005658474330785623147493947560810087737672451637475014017044809677<81>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1331634998
Step 1 took 2729ms
Step 2 took 2284ms
********** Factor found in step 2: 8425498979072827488852800911267
Found probable prime factor of 31 digits: 8425498979072827488852800911267
Probable prime cofactor 275535586632481005658474330785623147493947560810087737672451637475014017044809677 has 81 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
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10170+179

c130

name 名前Sinkiti Sibata
date 日付September 27, 2009 13:48:07 UTC 2009 年 9 月 27 日 (日) 22 時 48 分 7 秒 (日本時間)
composite number 合成数
3981021690151624021971890462313322717513474933240117370947613991952532408909658873370458969162811205598079652891096332677381839347<130>
prime factors 素因数
6128198903992383225192559986628700854438637463216120687360319601<64>
649623446059833056859631161403636566829760031296775263008078058147<66>
factorization results 素因数分解の結果
Number: 41113_170
N=3981021690151624021971890462313322717513474933240117370947613991952532408909658873370458969162811205598079652891096332677381839347
  ( 130 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=6128198903992383225192559986628700854438637463216120687360319601 (pp64)
 r2=649623446059833056859631161403636566829760031296775263008078058147 (pp66)
Version: Msieve-1.40
Total time: 57.28 hours.
Scaled time: 191.26 units (timescale=3.339).
Factorization parameters were as follows:
name: 41113_170
n: 3981021690151624021971890462313322717513474933240117370947613991952532408909658873370458969162811205598079652891096332677381839347
m: 10000000000000000000000000000000000
deg: 5
c5: 37
c0: 17
skew: 0.86
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 5450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 945627 x 945875
Total sieving time: 55.40 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.70 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 57.28 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiAugust 6, 2009 03:34:18 UTC 2009 年 8 月 6 日 (木) 12 時 34 分 18 秒 (日本時間)

37×10171+179

c146

name 名前Sinkiti Sibata
date 日付February 26, 2010 12:50:19 UTC 2010 年 2 月 26 日 (金) 21 時 50 分 19 秒 (日本時間)
composite number 合成数
58504882007189999761921981049819934133928660721569712401825770303357413941535528593199827069690373426390465859467179721910638367451331789289905703<146>
prime factors 素因数
1316651105129035672082350371724395741764941<43>
44434612768168640727083393444146990656379156177009848534978973830107699985188360300002215220704716111683<104>
factorization results 素因数分解の結果
Number: 41113_171
N=58504882007189999761921981049819934133928660721569712401825770303357413941535528593199827069690373426390465859467179721910638367451331789289905703
  ( 146 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=1316651105129035672082350371724395741764941 (pp43)
 r2=44434612768168640727083393444146990656379156177009848534978973830107699985188360300002215220704716111683 (pp104)
Version: Msieve-1.40
Total time: 93.11 hours.
Scaled time: 189.47 units (timescale=2.035).
Factorization parameters were as follows:
name: 41113_171
n: 58504882007189999761921981049819934133928660721569712401825770303357413941535528593199827069690373426390465859467179721910638367451331789289905703
m: 10000000000000000000000000000000000
deg: 5
c5: 370
c0: 17
skew: 0.54
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 5950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 991460 x 991708
Total sieving time: 89.96 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.52 hours.
Time per square root: 0.47 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 93.11 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiAugust 14, 2009 04:15:08 UTC 2009 年 8 月 14 日 (金) 13 時 15 分 8 秒 (日本時間)

37×10172+179

c139

name 名前Wataru Sakai
date 日付September 14, 2009 14:18:11 UTC 2009 年 9 月 14 日 (月) 23 時 18 分 11 秒 (日本時間)
composite number 合成数
8000786861824967496936891454390303950044172626808863977042325480650160339085432286913730732480135626524651882633038004995013391894141991797<139>
prime factors 素因数
22736814924784767224815309943955870851<38>
351886879859479926106674281094605843954692625172311480161859483512498327727310770210259206169473031847<102>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3910885405
Step 1 took 42500ms
Step 2 took 14634ms
********** Factor found in step 2: 22736814924784767224815309943955870851
Found probable prime factor of 38 digits: 22736814924784767224815309943955870851
Probable prime cofactor 351886879859479926106674281094605843954692625172311480161859483512498327727310770210259206169473031847 has 102 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
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10173+179

c174

name 名前Jo Yeong Uk
date 日付December 21, 2008 02:10:02 UTC 2008 年 12 月 21 日 (日) 11 時 10 分 2 秒 (日本時間)
composite number 合成数
411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<174>
prime factors 素因数
2309642251320926628434349570227406190719013760451867200648957231633000117723292239<82>
177997744402185728430025384772804913156559791188015710518448917566430790426321615278811044967<93>
factorization results 素因数分解の結果
Number: 41113_173
N=411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113
  ( 174 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=2309642251320926628434349570227406190719013760451867200648957231633000117723292239 (pp82)
 r2=177997744402185728430025384772804913156559791188015710518448917566430790426321615278811044967 (pp93)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 135.17 hours.
Scaled time: 322.66 units (timescale=2.387).
Factorization parameters were as follows:
n: 411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113
m: 100000000000000000000000000000000000
deg: 5
c5: 37
c0: 1700
skew: 2.15
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 5400001)
Primes: RFBsize:387202, AFBsize:386654, largePrimes:16029251 encountered
Relations: rels:16426603, finalFF:927524
Max relations in full relation-set: 28
Initial matrix: 773923 x 927524 with sparse part having weight 115621215.
Pruned matrix : 697149 x 701082 with weight 92001068.
Total sieving time: 129.09 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 5.71 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,5600000,5600000,28,28,52,52,2.5,2.5,100000
total time: 135.17 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: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)
351e60--
403e6200 / 1577Serge BatalovDecember 10, 2008 07:22:47 UTC 2008 年 12 月 10 日 (水) 16 時 22 分 47 秒 (日本時間)
4511e6220 / 4435Serge BatalovDecember 10, 2008 07:22:47 UTC 2008 年 12 月 10 日 (水) 16 時 22 分 47 秒 (日本時間)

37×10175+179

c171

name 名前Ignacio Santos
date 日付February 22, 2009 16:55:18 UTC 2009 年 2 月 23 日 (月) 1 時 55 分 18 秒 (日本時間)
composite number 合成数
703993546091599073772815574620461857819941283132885441223198299760451925802885612464871673392659059730998357982620872837836038000430006868693787542358530594227633459100829<171>
prime factors 素因数
23586711719453871087522664522636742344493353264814241528919205959807570277<74>
29847040760283621496854245399203499887235219181116358275700688536486472950381821332414081846863577<98>
factorization results 素因数分解の結果
Number: 41113_175
N=703993546091599073772815574620461857819941283132885441223198299760451925802885612464871673392659059730998357982620872837836038000430006868693787542358530594227633459100829
  ( 171 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=23586711719453871087522664522636742344493353264814241528919205959807570277 (pp74)
 r2=29847040760283621496854245399203499887235219181116358275700688536486472950381821332414081846863577 (pp98)
Version: Msieve-1.39
Total time: 77.02 hours.
Scaled time: 133.94 units (timescale=1.739).
Factorization parameters were as follows:
n: 703993546091599073772815574620461857819941283132885441223198299760451925802885612464871673392659059730998357982620872837836038000430006868693787542358530594227633459100829
m: 100000000000000000000000000000000000
deg: 5
c5: 37
c0: 17
skew: 0.86
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3050000, 6950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1306867 x 1307115
Total sieving time: 77.02 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 77.02 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
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10176+179

c167

name 名前Dmitry Domanov
date 日付October 6, 2011 13:07:14 UTC 2011 年 10 月 6 日 (木) 22 時 7 分 14 秒 (日本時間)
composite number 合成数
64316617195653640144104970737073668956316527627915344608549574336637766643284661208829349253892032397364007662049940149140195278947854837564715747652671009774841271831<167>
prime factors 素因数
8776939756200820865213072967170758973<37>
7058612028736603934088785319274163215648343<43>
1038151569394059137260594482007170732585086805903291720721033646936001721745954812172629<88>
factorization results 素因数分解の結果
N=64316617195653640144104970737073668956316527627915344608549574336637766643284661208829349253892032397364007662049940149140195278947854837564715747652671009774841271831
  ( 167 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=8776939756200820865213072967170758973 (pp37)
 r2=7058612028736603934088785319274163215648343 (pp43)
 r3=1038151569394059137260594482007170732585086805903291720721033646936001721745954812172629 (pp88)
Version: Msieve-1.40
Total time: 86.42 hours.
Scaled time: 158.49 units (timescale=1.834).
Factorization parameters were as follows:
n: 64316617195653640144104970737073668956316527627915344608549574336637766643284661208829349253892032397364007662049940149140195278947854837564715747652671009774841271831
m: 100000000000000000000000000000000000
deg: 5
c5: 370
c0: 17
skew: 0.54
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 360000Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3200000, 7520001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1200944 x 1201182
Total sieving time: 84.11 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.58 hours.
Time per square root: 0.58 hours.
Prototype def-par.txt line would be:
snfs,177.000,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000
total time: 86.42 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovApril 19, 2011 06:07:49 UTC 2011 年 4 月 19 日 (火) 15 時 7 分 49 秒 (日本時間)

37×10178+179

c121

name 名前Ignacio Santos
date 日付April 16, 2009 10:50:53 UTC 2009 年 4 月 16 日 (木) 19 時 50 分 53 秒 (日本時間)
composite number 合成数
8753617377871015379501280731640734720391420036927883299454746453053412071345125172976838459344035255267627866305051141877<121>
prime factors 素因数
901053580759546473335733195289088783980467426146667758137<57>
9714868865503115801159431371805518306707962321967502211308133021<64>
factorization results 素因数分解の結果
Number: 41113_178
N=8753617377871015379501280731640734720391420036927883299454746453053412071345125172976838459344035255267627866305051141877
  ( 121 digits)
Divisors found:
 r1=901053580759546473335733195289088783980467426146667758137 (pp57)
 r2=9714868865503115801159431371805518306707962321967502211308133021 (pp64)
Version: Msieve-1.39
Total time: 42.93 hours.
Scaled time: 74.87 units (timescale=1.744).
Factorization parameters were as follows:
n: 8753617377871015379501280731640734720391420036927883299454746453053412071345125172976838459344035255267627866305051141877
Y0: -232444750578107045732042
Y1:  18042078346271
c0: -88669467322140490833982108215
c1: -3045316310392554112648423
c2:  33782754219691244909
c3: -10726229016841
c4: -330767170
c5:  12900
skew: 121095.13
type: gnfs

Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [3000000, 5280001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 713270 x 713518
Total sieving time: 42.93 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:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6000000,6000000,27,27,50,50,2.4,2.4,60000
total time: 42.93 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
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Serge BatalovJanuary 19, 2009 03:22:28 UTC 2009 年 1 月 19 日 (月) 12 時 22 分 28 秒 (日本時間)

37×10179+179

c147

name 名前Dmitry Domanov
date 日付July 5, 2013 05:34:51 UTC 2013 年 7 月 5 日 (金) 14 時 34 分 51 秒 (日本時間)
composite number 合成数
596679304191572694613999357240230075870212604506045532038268525778390623516732510269708011251370019941875629031323843234002357187410897830362578697<147>
prime factors 素因数
21492079510623863088342734548197989231356017342446287921627<59>
27762753431868935865345481896823576222004197073187684265833055278030988399021376562770411<89>
factorization results 素因数分解の結果
N=596679304191572694613999357240230075870212604506045532038268525778390623516732510269708011251370019941875629031323843234002357187410897830362578697
  ( 147 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=21492079510623863088342734548197989231356017342446287921627 (pp59)
 r2=27762753431868935865345481896823576222004197073187684265833055278030988399021376562770411 (pp89)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 142.42 hours.
Scaled time: 274.17 units (timescale=1.925).
Factorization parameters were as follows:
n: 596679304191572694613999357240230075870212604506045532038268525778390623516732510269708011251370019941875629031323843234002357187410897830362578697
m: 500000000000000000000000000000000000
deg: 5
c5: 592
c0: 85
skew: 0.68
# Murphy_E = 7.224e-11
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3650000, 11250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1568971 x 1569197
Total sieving time: 139.49 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.43 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 142.42 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovApril 19, 2011 06:07:58 UTC 2011 年 4 月 19 日 (火) 15 時 7 分 58 秒 (日本時間)
4511e6600 / 4413Rich DickersonJune 12, 2012 13:13:47 UTC 2012 年 6 月 12 日 (火) 22 時 13 分 47 秒 (日本時間)

37×10181+179

c149

name 名前Dmitry Domanov
date 日付April 17, 2011 15:19:30 UTC 2011 年 4 月 18 日 (月) 0 時 19 分 30 秒 (日本時間)
composite number 合成数
45588188731753082294394099639094952504857533969647600132959220542761644073153701319908065785782843807423765060454122519682113566289880733242189762703<149>
prime factors 素因数
19583730274725123056080763357840850011<38>
28184636656276296879657319496894612255107506628271474149<56>
82593235239664005598005831854617554075661396988713351577<56>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2418528028
Step 1 took 48547ms
Step 2 took 20714ms
********** Factor found in step 2: 19583730274725123056080763357840850011
Found probable prime factor of 38 digits: 19583730274725123056080763357840850011
Composite cofactor 232786032549628533047886649458142822123058099267072887498352716880051847787463891206808536198128
3872080303882973 has 112 digits


N=2327860325496285330478866494581428221230580992670728874983527168800518477874638912068085361981283872080303882973
  ( 112 digits)
Divisors found:
 r1=28184636656276296879657319496894612255107506628271474149 (pp56)
 r2=82593235239664005598005831854617554075661396988713351577 (pp56)
Version: Msieve-1.40
Total time: 18.17 hours.
Scaled time: 33.91 units (timescale=1.866).
Factorization parameters were as follows:
name: 112-2
n: 2327860325496285330478866494581428221230580992670728874983527168800518477874638912068085361981283872080303882973
skew: 32712.61
# norm 1.75e+015
c5: 32640
c4: -136751976
c3: -83279022304190
c2: 1258982402228409349
c1: 28619680045109859357224
c0: 163412109332600254853544428
# alpha -6.17
Y1: 452464360879
Y0: -2347693642171690724631
# Murphy_E 8.55e-010
# M 110497889416653274624028536046606927565197271780412205923727073771413446370123417552842304331143699583853864490
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 364430 x 364654
Polynomial selection time: 1.85 hours.
Total sieving time: 15.69 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.49 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 18.17 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10183+179

c152

name 名前Jo Yeong Uk
date 日付April 21, 2014 22:15:56 UTC 2014 年 4 月 22 日 (火) 7 時 15 分 56 秒 (日本時間)
composite number 合成数
28626843588020185753848549660980131836156552910166552075407542510965095724983118201680585980385726745397096666950756893533026268388461779773665711524341<152>
prime factors 素因数
424395067561839425941019753018431513307<39>
1410353437705663581760579441798909793491280113<46>
47827224188349218600553150540822212458452579934419983162624496877151<68>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 28626843588020185753848549660980131836156552910166552075407542510965095724983118201680585980385726745397096666950756893533026268388461779773665711524341 (152 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1008391241
Step 1 took 24449ms
Step 2 took 8981ms
********** Factor found in step 2: 424395067561839425941019753018431513307
Found probable prime factor of 39 digits: 424395067561839425941019753018431513307
Composite cofactor 67453290049957786135971197518611126133762253816536529743741804024297474280921057264299957307037112042117890398063 has 113 digits

Number: 41113_183
N=67453290049957786135971197518611126133762253816536529743741804024297474280921057264299957307037112042117890398063
  ( 113 digits)
Divisors found:
 r1=1410353437705663581760579441798909793491280113
 r2=47827224188349218600553150540822212458452579934419983162624496877151
Version: 
Total time: 8.18 hours.
Scaled time: 42.98 units (timescale=5.255).
Factorization parameters were as follows:
name: 41113_183
n: 67453290049957786135971197518611126133762253816536529743741804024297474280921057264299957307037112042117890398063
skew: 39292.23
# norm 8.06e+15
c5: 61020
c4: -10234936482
c3: -279460800361322
c2: 14990711981657879837
c1: 241496431187737246974902
c0: -1145205636674980422155114915
# alpha -6.90
Y1: 214897855931
Y0: -4061691720044757123528
# Murphy_E 7.04e-10
# M 17399786397372294264351671415274745552260057247533835661511974833552134881325843246164269665567139158349289919961
type: gnfs
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1200000, 2040001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9503983
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 422851 x 423099
Polynomial selection time: 1.00 hours.
Total sieving time: 6.51 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,27,27,53,53,2.6,2.6,60000
total time: 8.18 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49374320k/51380224k available (5220k kernel code, 1085960k absent, 919944k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.06 BogoMIPS (lpj=3400031)
Total of 12 processors activated (81600.74 BogoMIPS).
software ソフトウェア
GMP-ECM v6.4.4/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
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovApril 19, 2011 06:08:08 UTC 2011 年 4 月 19 日 (火) 15 時 8 分 8 秒 (日本時間)
1500Dmitry DomanovAugust 1, 2013 10:56:29 UTC 2013 年 8 月 1 日 (木) 19 時 56 分 29 秒 (日本時間)
4511e6160 / 4081Rich DickersonNovember 15, 2013 15:54:51 UTC 2013 年 11 月 16 日 (土) 0 時 54 分 51 秒 (日本時間)

37×10184+179

c168

name 名前Jo Yeong Uk
date 日付September 23, 2014 09:08:46 UTC 2014 年 9 月 23 日 (火) 18 時 8 分 46 秒 (日本時間)
composite number 合成数
499313068880469614188669405246699799593255889740982518883622423246801212105794865961677411889985481138187300470507343540817576607151095632085798751330034771100883933451<168>
prime factors 素因数
66277557866403245738395259362965979604116231036771<50>
7533667276741594946033003521300673051042117609386396475997502163602410489128739122332846466643543854789674634479105081<118>
factorization results 素因数分解の結果
Number: 41113_184
N=499313068880469614188669405246699799593255889740982518883622423246801212105794865961677411889985481138187300470507343540817576607151095632085798751330034771100883933451
  ( 168 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=66277557866403245738395259362965979604116231036771
 r2=7533667276741594946033003521300673051042117609386396475997502163602410489128739122332846466643543854789674634479105081
Version: 
Total time: 97.06 hours.
Scaled time: 509.69 units (timescale=5.251).
Factorization parameters were as follows:
n: 499313068880469614188669405246699799593255889740982518883622423246801212105794865961677411889985481138187300470507343540817576607151095632085798751330034771100883933451
m: 10000000000000000000000000000000000000
deg: 5
c5: 37
c0: 170
skew: 1.36
# Murphy_E = 4.531e-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, 8600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21059548
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1765931 x 1766179
Total sieving time: 90.35 hours.
Total relation processing time: 2.43 hours.
Matrix solve time: 4.16 hours.
Time per square root: 0.12 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: 97.06 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
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)
351e60--
403e62100300Dmitry DomanovApril 19, 2011 06:08:17 UTC 2011 年 4 月 19 日 (火) 15 時 8 分 17 秒 (日本時間)
1500Dmitry DomanovAugust 1, 2013 10:56:38 UTC 2013 年 8 月 1 日 (木) 19 時 56 分 38 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:34 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 34 秒 (日本時間)
4511e6530 / 4015230Ignacio SantosJanuary 31, 2014 23:17:52 UTC 2014 年 2 月 1 日 (土) 8 時 17 分 52 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:47 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 47 秒 (日本時間)

37×10185+179

c163

name 名前Jo Yeong Uk
date 日付November 8, 2014 09:32:26 UTC 2014 年 11 月 8 日 (土) 18 時 32 分 26 秒 (日本時間)
composite number 合成数
1131947191643393449801536533526083584451558526831376625481380113414004954968705037243431998628166037403056274415058488785435143975737013375053706848192764582333553<163>
prime factors 素因数
5299043945182689140181312741165840388490659811007143<52>
213613475063258526668264409529766789021935983214367995245977057867381184321576046296417652710886690427165784871<111>
factorization results 素因数分解の結果
Number: 41113_185
N=1131947191643393449801536533526083584451558526831376625481380113414004954968705037243431998628166037403056274415058488785435143975737013375053706848192764582333553
  ( 163 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=5299043945182689140181312741165840388490659811007143
 r2=213613475063258526668264409529766789021935983214367995245977057867381184321576046296417652710886690427165784871
Version: 
Total time: 80.71 hours.
Scaled time: 405.96 units (timescale=5.030).
Factorization parameters were as follows:
n: 1131947191643393449801536533526083584451558526831376625481380113414004954968705037243431998628166037403056274415058488785435143975737013375053706848192764582333553
m: 10000000000000000000000000000000000000
deg: 5
c5: 37
c0: 17
skew: 0.86
# Murphy_E = 5.697e-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, 7800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20526859
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1727781 x 1728028
Total sieving time: 74.76 hours.
Total relation processing time: 1.95 hours.
Matrix solve time: 3.89 hours.
Time per square root: 0.11 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: 80.71 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
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)
351e60--
403e62100300Dmitry DomanovApril 19, 2011 06:08:25 UTC 2011 年 4 月 19 日 (火) 15 時 8 分 25 秒 (日本時間)
1500Dmitry DomanovAugust 1, 2013 10:56:46 UTC 2013 年 8 月 1 日 (木) 19 時 56 分 46 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:34 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 34 秒 (日本時間)
4511e6530 / 4015230Ignacio SantosFebruary 3, 2014 21:33:24 UTC 2014 年 2 月 4 日 (火) 6 時 33 分 24 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:47 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 47 秒 (日本時間)

37×10186+179

c122

name 名前Ignacio Santos
date 日付April 19, 2009 11:20:17 UTC 2009 年 4 月 19 日 (日) 20 時 20 分 17 秒 (日本時間)
composite number 合成数
37961104225068594578714829076645712945921588378067673385352537851945754998378505684467544660269645616821258158008963831541<122>
prime factors 素因数
936611623971359060206147696654335999846721752617956297<54>
40530251017074094158289636271902336998641296433950350474105003157453<68>
factorization results 素因数分解の結果
Number: 41113_186
N=37961104225068594578714829076645712945921588378067673385352537851945754998378505684467544660269645616821258158008963831541
  ( 122 digits)
Divisors found:
 r1=936611623971359060206147696654335999846721752617956297 (pp54)
 r2=40530251017074094158289636271902336998641296433950350474105003157453 (pp68)
Version: Msieve-1.39
Total time: 49.82 hours.
Scaled time: 128.79 units (timescale=2.585).
Factorization parameters were as follows:
n: 37961104225068594578714829076645712945921588378067673385352537851945754998378505684467544660269645616821258158008963831541
Y0: -318842747860980647659276
Y1:  12477258589133
c0:  182009490340765499157220857085
c1:  2767449488789833424934041
c2: -35423532070220414210
c3: -462278175788232
c4:  2468121056
c5:  11520
skew: 131899.69
type: gnfs
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2500000, 5020001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 678008 x 678256
Total sieving time: 49.82 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:
gnfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,27,27,50,50,2.4,2.4,60000
total time: 49.82 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
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Erik BrangerJanuary 29, 2009 21:44:46 UTC 2009 年 1 月 30 日 (金) 6 時 44 分 46 秒 (日本時間)

37×10187+179

c177

name 名前Robert Backstrom
date 日付February 11, 2012 14:57:07 UTC 2012 年 2 月 11 日 (土) 23 時 57 分 7 秒 (日本時間)
composite number 合成数
990751368612565035176506270094170716838975374474606144803058848365332064970882059033199187090308969670225823854273242952006688755091569484835119432142224652816167276249890863947<177>
prime factors 素因数
16292765621288919609478817054628424562953771570853171629703611379365529746626204307635029<89>
60809281348649681244719041706611205948284047834909959845329179920172944231048578394381343<89>
factorization results 素因数分解の結果
Number: n
N=990751368612565035176506270094170716838975374474606144803058848365332064970882059033199187090308969670225823854273242952006688755091569484835119432142224652816167276249890863947
  ( 177 digits)
SNFS difficulty: 188 digits.
Divisors found:

Sun Feb 12 01:51:25 2012  prp89 factor: 16292765621288919609478817054628424562953771570853171629703611379365529746626204307635029
Sun Feb 12 01:51:25 2012  prp89 factor: 60809281348649681244719041706611205948284047834909959845329179920172944231048578394381343
Sun Feb 12 01:51:25 2012  elapsed time 02:59:50 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.658).
Factorization parameters were as follows:
name: KA_41113_187
n: 990751368612565035176506270094170716838975374474606144803058848365332064970882059033199187090308969670225823854273242952006688755091569484835119432142224652816167276249890863947
m: 10000000000000000000000000000000000000
#  c177, diff: 188.57
skew: 0.34
deg: 5
c5: 3700
c0: 17
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7680138 hash collisions in 76736982 relations (71491591 unique)
Msieve: matrix is 1294334 x 1294562 (363.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.12 BogoMIPS (lpj=2798061)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797563)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Total of 8 processors activated (44761.89 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovApril 19, 2011 06:08:33 UTC 2011 年 4 月 19 日 (火) 15 時 8 分 33 秒 (日本時間)

37×10188+179

c181

name 名前matsui
date 日付January 27, 2011 07:43:59 UTC 2011 年 1 月 27 日 (木) 16 時 43 分 59 秒 (日本時間)
composite number 合成数
1029540667985123715003405972349777093718680477249074948179607831614910726526639792043492289952054855948029007457464750601217872650250847180285935236828313174639061051809749500420469<181>
prime factors 素因数
33278892508173340532233520688461108189<38>
20279280412034744030621134055414823326172254253586961<53>
1525534736515495924385384461546362762062547868454577969555010783184734720615978092437097961<91>
factorization results 素因数分解の結果
N=1029540667985123715003405972349777093718680477249074948179607831614910726526639792043492289952054855948029007457464750601217872650250847180285935236828313174639061051809749500420469
  ( 181 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=33278892508173340532233520688461108189 (pp38)
 r2=20279280412034744030621134055414823326172254253586961 (pp53)
 r3=1525534736515495924385384461546362762062547868454577969555010783184734720615978092437097961 (pp91)
Version: Msieve v. 1.48
Total time:
Scaled time: 16.91 units (timescale=0.453).
Factorization parameters were as follows:
n: 1029540667985123715003405972349777093718680477249074948179607831614910726526639792043492289952054855948029007457464750601217872650250847180285935236828313174639061051809749500420469
m: 10000000000000000000000000000000000000
deg: 5
c5: 37000
c0: 17
skew: 0.22
type: snfs
lss: 1
rlim: 10100000
alim: 10100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 10100000/10100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5050000, 19770001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2363015 x 2363255
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,189.000,5,0,0,0,0,0,0,0,0,10100000,10100000,28,28,54,54,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10189+179

c170

composite cofactor 合成数の残り
15899748861240154423030441583586993425869588555375130830833154830397753471054725783641839333809392017509544045912667501204904000357875724663411130218121611537403546376833<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)
351e60--
403e63400300Dmitry DomanovApril 19, 2011 06:08:40 UTC 2011 年 4 月 19 日 (火) 15 時 8 分 40 秒 (日本時間)
1500Dmitry DomanovAugust 1, 2013 10:56:57 UTC 2013 年 8 月 1 日 (木) 19 時 56 分 57 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:35 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 35 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:41 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 41 秒 (日本時間)

37×10191+179

c145

name 名前Dmitry Domanov
date 日付July 9, 2013 13:26:22 UTC 2013 年 7 月 9 日 (火) 22 時 26 分 22 秒 (日本時間)
composite number 合成数
7252119521427788928892172739811401035825423318865372443739720123343830680832049888407672901485995680769686426214889730286925105800530767423709631<145>
prime factors 素因数
118373461238670166414903326981318101167638859<45>
61264741653585028176754707130066170671903323152951631888967605581483161350124337235973508823758886109<101>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2204487915
Step 1 took 48912ms
********** Factor found in step 1: 118373461238670166414903326981318101167638859
Found probable prime factor of 45 digits: 118373461238670166414903326981318101167638859

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovApril 19, 2011 06:08:49 UTC 2011 年 4 月 19 日 (火) 15 時 8 分 49 秒 (日本時間)

37×10192+179

c183

name 名前Robert Backstrom
date 日付March 11, 2012 03:44:55 UTC 2012 年 3 月 11 日 (日) 12 時 44 分 55 秒 (日本時間)
composite number 合成数
107422064077604444495676175244335556113322325941972957866010128132690187509901994753487048671666903782277487696935824196288223876867077720138224175799891150732766318366928532051915357<183>
prime factors 素因数
2352321219203269993022329814821162725564976643555444146225079<61>
45666409502520341697748384523388499357964903336432732022085593914826320867461162672448309673656102793896687675437971142283<122>
factorization results 素因数分解の結果
Number: n
N=107422064077604444495676175244335556113322325941972957866010128132690187509901994753487048671666903782277487696935824196288223876867077720138224175799891150732766318366928532051915357
  ( 183 digits)
SNFS difficulty: 193 digits.
Divisors found:

Sun Mar 11 14:38:55 2012  prp61 factor: 2352321219203269993022329814821162725564976643555444146225079
Sun Mar 11 14:38:55 2012  prp122 factor: 45666409502520341697748384523388499357964903336432732022085593914826320867461162672448309673656102793896687675437971142283
Sun Mar 11 14:38:55 2012  elapsed time 04:45:52 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.659).
Factorization parameters were as follows:
name: KA_41113_192
n: 107422064077604444495676175244335556113322325941972957866010128132690187509901994753487048671666903782277487696935824196288223876867077720138224175799891150732766318366928532051915357
m: 100000000000000000000000000000000000000
#  c183, diff: 193.57
skew: 0.34
deg: 5
c5: 3700
c0: 17
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 21300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10506005 hash collisions in 76670792 relations (69942409 unique)
Msieve: matrix is 1536024 x 1536253 (432.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovApril 19, 2011 06:09:00 UTC 2011 年 4 月 19 日 (火) 15 時 9 分 0 秒 (日本時間)

37×10193+179

c174

composite cofactor 合成数の残り
848444945611857306610208314657153345157713145768208138510374366062538616826185807047113268453723898245602674391378026681487856625148732800176782682328434377000084348031652413<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)
351e60--
403e63400300Dmitry DomanovApril 19, 2011 06:09:09 UTC 2011 年 4 月 19 日 (火) 15 時 9 分 9 秒 (日本時間)
1500Dmitry DomanovAugust 1, 2013 10:57:07 UTC 2013 年 8 月 1 日 (木) 19 時 57 分 7 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:36 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 36 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:41 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 41 秒 (日本時間)

37×10194+179

c165

composite cofactor 合成数の残り
116234911489205992745759260683213503476777739760161558520439296249205275229431485790737455550093071967155316692723390663101265776402638151523690370334003169495043831<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)
351e60--
403e63400300Dmitry DomanovApril 19, 2011 06:09:25 UTC 2011 年 4 月 19 日 (火) 15 時 9 分 25 秒 (日本時間)
1500Dmitry DomanovAugust 1, 2013 10:57:15 UTC 2013 年 8 月 1 日 (木) 19 時 57 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:36 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 36 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:42 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 42 秒 (日本時間)

37×10197+179

c176

name 名前Dmitry Domanov
date 日付July 9, 2013 13:35:28 UTC 2013 年 7 月 9 日 (火) 22 時 35 分 28 秒 (日本時間)
composite number 合成数
11277318523734466859329141283805298416294310943949102931280852481873544628009718936924840271184799804900122087857075218147779215046561737541140579253821224933187095479211386501<176>
prime factors 素因数
226298090408940143775922096312349568810241<42>
49833909350959969677301751356617269639171054001870542278474185519173663946167096738989305298242342889467770045001685325252212469609861<134>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2711542789
Step 1 took 70737ms
Step 2 took 22646ms
********** Factor found in step 2: 226298090408940143775922096312349568810241
Found probable prime factor of 42 digits: 226298090408940143775922096312349568810241

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovApril 19, 2011 06:09:32 UTC 2011 年 4 月 19 日 (火) 15 時 9 分 32 秒 (日本時間)

37×10198+179

c159

composite cofactor 合成数の残り
193898790026566978207390857063050492012242288020176438706989290488724907029556920277359257155943727753467093370652003052490735385419616588888859916249978384133<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)
351e60--
403e63400300Dmitry DomanovApril 19, 2011 06:09:42 UTC 2011 年 4 月 19 日 (火) 15 時 9 分 42 秒 (日本時間)
1500Dmitry DomanovAugust 1, 2013 10:57:24 UTC 2013 年 8 月 1 日 (木) 19 時 57 分 24 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:37 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 37 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:42 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 42 秒 (日本時間)

37×10199+179

c190

name 名前Robert Backstrom
date 日付March 19, 2012 10:15:02 UTC 2012 年 3 月 19 日 (月) 19 時 15 分 2 秒 (日本時間)
composite number 合成数
2041265887735193661364230652909446929878452049737068621601677983766137309201983936833766549843796807129341825616815454886721506521898960702265376420448920571166426871044664808596083851850071<190>
prime factors 素因数
31254950383080054367453276464222956337361047650703486667<56>
65310162477181152708881880046449075416785965652603249362609035330290641732379721581357004836612528566245014218626041056546069827570213<134>
factorization results 素因数分解の結果
Number: n
N=2041265887735193661364230652909446929878452049737068621601677983766137309201983936833766549843796807129341825616815454886721506521898960702265376420448920571166426871044664808596083851850071
  ( 190 digits)
SNFS difficulty: 200 digits.
Divisors found:

Mon Mar 19 19:43:18 2012  prp56 factor: 31254950383080054367453276464222956337361047650703486667
Mon Mar 19 19:43:18 2012  prp134 factor: 65310162477181152708881880046449075416785965652603249362609035330290641732379721581357004836612528566245014218626041056546069827570213
Mon Mar 19 19:43:18 2012  elapsed time 07:20:37 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.650).
Factorization parameters were as follows:
name: KA_41113_199
n: 2041265887735193661364230652909446929878452049737068621601677983766137309201983936833766549843796807129341825616815454886721506521898960702265376420448920571166426871044664808596083851850071
m: 1000000000000000000000000000000000000000
#  c190, diff: 200.57
skew: 0.14
deg: 5
c5: 370000
c0: 17
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 29500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 13133281 hash collisions in 79503454 relations (67588443 unique)
Msieve: matrix is 2098858 x 2099083 (591.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovApril 19, 2011 06:09:49 UTC 2011 年 4 月 19 日 (火) 15 時 9 分 49 秒 (日本時間)

37×10202+179

c180

composite cofactor 合成数の残り
230591825432829044677355748368138725967561991929695258324683077761603076102975181800039006470759939539133115628415850903074406067372633429041571054869259822474021139150012046847853<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)
351e60--
403e63400300Dmitry DomanovApril 19, 2011 06:09:56 UTC 2011 年 4 月 19 日 (火) 15 時 9 分 56 秒 (日本時間)
1500Dmitry DomanovAugust 1, 2013 10:57:34 UTC 2013 年 8 月 1 日 (木) 19 時 57 分 34 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:37 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 37 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:43 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 43 秒 (日本時間)

37×10203+179

c153

name 名前Serge Batalov
date 日付December 9, 2008 23:15:45 UTC 2008 年 12 月 10 日 (水) 8 時 15 分 45 秒 (日本時間)
composite number 合成数
404977647619286151331505595082483027689897223020981842745769664123486661243882343944025653471090755572932683170744731847269872891400074192788192200553307<153>
prime factors 素因数
6140930812850915255314216030096973<34>
65947274112224700593650870901927012395470632038377646836641194000390957486841353488687312767513602066729431644202380359<119>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1350806540
Step 1 took 6113ms
Step 2 took 4038ms
********** Factor found in step 2: 6140930812850915255314216030096973
Found probable prime factor of 34 digits: 6140930812850915255314216030096973
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
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)

37×10204+179

c205

name 名前Robert Backstrom
date 日付February 4, 2009 16:38:06 UTC 2009 年 2 月 5 日 (木) 1 時 38 分 6 秒 (日本時間)
composite number 合成数
1370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370371<205>
prime factors 素因数
153309913352856585802120594537109285957749031611920050232775437965114309133133655034055113177052274147<102>
8938563334885849358263822539007719875728625710335868949963740586159114978519165202551819473673605180193<103>
factorization results 素因数分解の結果
Number: n
N=1370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370371
  ( 205 digits)
SNFS difficulty: 206 digits.
Divisors found:

Wed Feb  4 22:20:50 2009  prp102 factor: 153309913352856585802120594537109285957749031611920050232775437965114309133133655034055113177052274147
Wed Feb  4 22:20:50 2009  prp103 factor: 8938563334885849358263822539007719875728625710335868949963740586159114978519165202551819473673605180193
Wed Feb  4 22:20:50 2009  elapsed time 24:31:38 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20050930-k8
Total time: 151.50 hours.
Scaled time: 304.66 units (timescale=2.011).
Factorization parameters were as follows:
name: KA_4_1_203_3
n: 1370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370371
deg: 5
c5: 37
c0: 170
m: 100000000000000000000000000000000000000000
skew: 1.36
type: snfs
rlim: 10000000
alim: 10000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 42599990)
Primes: RFBsize:664579, AFBsize:664455, largePrimes:36623236 encountered
Relations: rels:31037462, finalFF:48980
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8849123 hash collisions in 45406511 relations
Msieve: matrix is 3743033 x 3743281 (1019.2 MB)

Total sieving time: 150.22 hours.
Total relation processing time: 1.28 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,10000000,10000000,29,29,58,58,2.5,2.5,100000
total time: 151.50 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 3321556k/3407296k available (2912k kernel code, 84428k reserved, 1794k data, 1544k init, 2502088k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.96 BogoMIPS (lpj=2830483)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Total of 4 processors activated (22643.68 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Serge BatalovDecember 9, 2008 23:45:11 UTC 2008 年 12 月 10 日 (水) 8 時 45 分 11 秒 (日本時間)

37×10205+179

c206

name 名前Robert Backstrom
date 日付February 26, 2009 07:59:52 UTC 2009 年 2 月 26 日 (木) 16 時 59 分 52 秒 (日本時間)
composite number 合成数
41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<206>
prime factors 素因数
38708903282648616349050646735593058494904684196090851<53>
523279404482581894105023739895022302701579043553621531881177081933138648717<75>
2029619869509639122374709122919684913926210413942382626800386423565291654417839<79>
factorization results 素因数分解の結果
Number: n
N=41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113
  ( 206 digits)
SNFS difficulty: 206 digits.
Divisors found:

Thu Feb 26 18:48:16 2009  prp53 factor: 38708903282648616349050646735593058494904684196090851
Thu Feb 26 18:48:16 2009  prp75 factor: 523279404482581894105023739895022302701579043553621531881177081933138648717
Thu Feb 26 18:48:16 2009  prp79 factor: 2029619869509639122374709122919684913926210413942382626800386423565291654417839
Thu Feb 26 18:48:16 2009  elapsed time 16:58:34 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20050930-k8
Total time: 111.52 hours.
Scaled time: 224.70 units (timescale=2.015).
Factorization parameters were as follows:
name: KA_4_1_204_3
n: 41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113
deg: 5
c5: 37
c0: 17
m: 100000000000000000000000000000000000000000
skew: 0.86
type: snfs
rlim: 11000000
alim: 11000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [5500000, 32599990)
Primes: RFBsize:726517, AFBsize:727428, largePrimes:36880338 encountered
Relations: rels:31940379, finalFF:85284
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8266595 hash collisions in 45511633 relations
Msieve: matrix is 3184069 x 3184317 (863.6 MB)

Total sieving time: 110.22 hours.
Total relation processing time: 1.30 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,11000000,11000000,29,29,58,58,2.5,2.5,100000
total time: 111.52 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 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
3025e4430Makoto KamadaDecember 9, 2008 00:00:00 UTC 2008 年 12 月 9 日 (火) 9 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Serge BatalovDecember 9, 2008 23:45:31 UTC 2008 年 12 月 10 日 (水) 8 時 45 分 31 秒 (日本時間)

37×10206+179

c205

name 名前Robert Backstrom
date 日付December 23, 2013 09:59:21 UTC 2013 年 12 月 23 日 (月) 18 時 59 分 21 秒 (日本時間)
composite number 合成数
3091060985797827903091060985797827903091060985797827903091060985797827903091060985797827903091060985797827903091060985797827903091060985797827903091060985797827903091060985797827903091060985797827903091061<205>
prime factors 素因数
489842694540656464941788184395267414165503110731<48>
6310313535851401499362418364075616712275202368882809747587961002300450592726937900440105575721620095362793204850576695474588867247104213874232463122754586431<157>
factorization results 素因数分解の結果
Number: n
N=3091060985797827903091060985797827903091060985797827903091060985797827903091060985797827903091060985797827903091060985797827903091060985797827903091060985797827903091060985797827903091060985797827903091061
  ( 205 digits)
SNFS difficulty: 207 digits.
Divisors found:

Mon Dec 23 20:15:17 2013  prp48 factor: 489842694540656464941788184395267414165503110731
Mon Dec 23 20:15:17 2013  prp157 factor: 6310313535851401499362418364075616712275202368882809747587961002300450592726937900440105575721620095362793204850576695474588867247104213874232463122754586431
Mon Dec 23 20:15:17 2013  elapsed time 12:46:12 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.771).
Factorization parameters were as follows:
#
#  37*10^206+17 - 41(205)3
#
#  c205, diff: 207.57
#
skew: 0.54
n: 3091060985797827903091060985797827903091060985797827903091060985797827903091060985797827903091060985797827903091060985797827903091060985797827903091060985797827903091060985797827903091060985797827903091061
m: 100000000000000000000000000000000000000000
deg: 5
c5: 370
c0: 17
# Murphy_E = 7.285e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 32000000)
Primes: RFBsize:1270607, AFBsize:1271990,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8936795 hash collisions in 57149264 relations (50084112 unique)
Msieve: matrix is 2664749 x 2664974 (758.9 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 10hrs 33min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 1hrs 33min 55sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJuly 2, 2013 16:00:00 UTC 2013 年 7 月 3 日 (水) 1 時 0 分 0 秒 (日本時間)
300Ignacio SantosJuly 26, 2013 20:15:38 UTC 2013 年 7 月 27 日 (土) 5 時 15 分 38 秒 (日本時間)
403e61610110Ignacio SantosJuly 26, 2013 20:15:38 UTC 2013 年 7 月 27 日 (土) 5 時 15 分 38 秒 (日本時間)
1500Dmitry DomanovAugust 1, 2013 10:57:43 UTC 2013 年 8 月 1 日 (木) 19 時 57 分 43 秒 (日本時間)
4511e6882 / 410532Ignacio SantosJuly 26, 2013 20:15:38 UTC 2013 年 7 月 27 日 (土) 5 時 15 分 38 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:13:46 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 46 秒 (日本時間)

37×10208+179

c187

composite cofactor 合成数の残り
1680705583634667079288866873744145531683651758665350656006483413264553264089437763873504164924578373873561335583541718023517292973965785790166873208741718711514084376602836959185133515729<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 2, 2013 16:00:00 UTC 2013 年 7 月 3 日 (水) 1 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovAugust 1, 2013 10:57:57 UTC 2013 年 8 月 1 日 (木) 19 時 57 分 57 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:38 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 38 秒 (日本時間)
4511e6300 / 3681Serge BatalovMay 27, 2014 00:31:48 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 48 秒 (日本時間)
5043e6113 / 7417CypFebruary 7, 2014 12:48:50 UTC 2014 年 2 月 7 日 (金) 21 時 48 分 50 秒 (日本時間)

37×10210+179

c173

composite cofactor 合成数の残り
22465798632427518668017826214324215033205155288632380704009151725977841510379372554001806203775799031381310639872877732629192874721457303012644941337318091888527708868903229<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 2, 2013 16:00:00 UTC 2013 年 7 月 3 日 (水) 1 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 1, 2013 10:58:07 UTC 2013 年 8 月 1 日 (木) 19 時 58 分 7 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:39 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 39 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:43 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 43 秒 (日本時間)

37×10211+179

c184

composite cofactor 合成数の残り
1537559976981566631588862834522354918549463157670089255342923685922910680965478010391788955766143241410123809072992298797070898685657450537186524987978979768422584789672640581451571943<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 2, 2013 16:00:00 UTC 2013 年 7 月 3 日 (水) 1 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 1, 2013 10:58:16 UTC 2013 年 8 月 1 日 (木) 19 時 58 分 16 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:39 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 39 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:43 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 43 秒 (日本時間)

37×10213+179

c196

name 名前Dmitry Domanov
date 日付July 9, 2013 13:30:44 UTC 2013 年 7 月 9 日 (火) 22 時 30 分 44 秒 (日本時間)
composite number 合成数
3068768316346501205437651104353469658839119804024192362749927102327749785355349348337888698225880639214509693716619009048937797430176839858210788222829808868741442141469508894902866994216985862917<196>
prime factors 素因数
488239551679239128733967200277837<33>
composite cofactor 合成数の残り
6285374271281084849362793699168682300612584879257714528479126439685414220562016033833395542660378999145637876551986159040477094906676937593198928024161611724146841<163>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2365413833
Step 1 took 81741ms
Step 2 took 25446ms
********** Factor found in step 2: 488239551679239128733967200277837
Found probable prime factor of 33 digits: 488239551679239128733967200277837

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 2, 2013 16:00:00 UTC 2013 年 7 月 3 日 (水) 1 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 1, 2013 10:58:25 UTC 2013 年 8 月 1 日 (木) 19 時 58 分 25 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:40 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 40 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:44 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 44 秒 (日本時間)

37×10215+179

c206

composite cofactor 合成数の残り
88250801950534880880019323992838354209785980175960896961895177282284448291528738710140766610474287516379220341696163484123278126555119780084033266072343019551425387303450817106336442148126044152645619736201<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 2, 2013 16:00:00 UTC 2013 年 7 月 3 日 (水) 1 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovAugust 1, 2013 10:58:37 UTC 2013 年 8 月 1 日 (木) 19 時 58 分 37 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:41 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 41 秒 (日本時間)
4511e6451 / 4077151CypMarch 9, 2014 11:25:41 UTC 2014 年 3 月 9 日 (日) 20 時 25 分 41 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:48 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 48 秒 (日本時間)

37×10217+179

c214

name 名前Bob Backstrom
date 日付November 8, 2017 00:12:27 UTC 2017 年 11 月 8 日 (水) 9 時 12 分 27 秒 (日本時間)
composite number 合成数
2259969826348804964603986098131554675999731246831461223193398444896438409714205437365241664070755379644390693810736689083124133423732126387285531917492777258595520373322583206591782261069271129190869721901550827943<214>
prime factors 素因数
497161530720774395902950436496726167644692012040133178101052816413<66>
4545745571006565907730664654234048670407457983188828025278001421945122147517646593094693830115454232021833405263835567154059638792771407743013009811<148>
factorization results 素因数分解の結果
Number: n
N=2259969826348804964603986098131554675999731246831461223193398444896438409714205437365241664070755379644390693810736689083124133423732126387285531917492777258595520373322583206591782261069271129190869721901550827943
  ( 214 digits)
SNFS difficulty: 218 digits.
Divisors found:

Wed Nov  8 11:05:00 2017  p66 factor: 497161530720774395902950436496726167644692012040133178101052816413
Wed Nov  8 11:05:00 2017  p148 factor: 4545745571006565907730664654234048670407457983188828025278001421945122147517646593094693830115454232021833405263835567154059638792771407743013009811
Wed Nov  8 11:05:00 2017  elapsed time 18:16:11 (Msieve 1.53 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.693).
Factorization parameters were as follows:
#
# 37x10^217+17 41(216)3
#
n: 2259969826348804964603986098131554675999731246831461223193398444896438409714205437365241664070755379644390693810736689083124133423732126387285531917492777258595520373322583206591782261069271129190869721901550827943
m: 1000000000000000000000000000000000000
deg: 6
c6: 370
c0: 17
skew: 0.60
# Murphy_E = 2.034e-12
type: snfs
lss: 1
rlim: 31000000
alim: 31000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 31000000/31000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 80300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13981120 hash collisions in 66312948 relations (53643840 unique)
Msieve: matrix is 4939253 x 4939479 (1405.3 MB)

Sieving start time: 2017/11/05 14:51:37
Sieving end time  : 2017/11/07 16:47:13

Total sieving time: 49hrs 55min 36secs.

Total relation processing time: 17hrs 29min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 26min 14sec.

Prototype def-par.txt line would be:
snfs,218,6,0,0,0,0,0,0,0,0,31000000,31000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.068000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16297368K/16703460K available (9281K kernel code, 2477K rwdata, 3992K rodata, 2324K init, 2384K bss, 406092K reserved, 0K cma-reserved)
[    0.100635] x86/mm: Memory block size: 128MB
[    0.008000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.86 BogoMIPS (lpj=11977728)
[    0.098232] smpboot: Total of 16 processors activated (95821.82 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJuly 2, 2013 16:00:00 UTC 2013 年 7 月 3 日 (水) 1 時 0 分 0 秒 (日本時間)
300Ignacio SantosJuly 26, 2013 22:38:05 UTC 2013 年 7 月 27 日 (土) 7 時 38 分 5 秒 (日本時間)
403e61610110Ignacio SantosJuly 26, 2013 22:38:05 UTC 2013 年 7 月 27 日 (土) 7 時 38 分 5 秒 (日本時間)
1500Dmitry DomanovAugust 1, 2013 10:58:45 UTC 2013 年 8 月 1 日 (木) 19 時 58 分 45 秒 (日本時間)
4511e6428232Ignacio SantosJuly 26, 2013 22:38:05 UTC 2013 年 7 月 27 日 (土) 7 時 38 分 5 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:44 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 44 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:58 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 58 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:24 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 24 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:33 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 33 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:49 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 49 秒 (日本時間)

37×10218+179

c216

name 名前Bob Backstrom
date 日付April 7, 2018 03:20:51 UTC 2018 年 4 月 7 日 (土) 12 時 20 分 51 秒 (日本時間)
composite number 合成数
605465553919162166584846997218131238749795450826378661430207821960399279986908852888234331533300605465553919162166584846997218131238749795450826378661430207821960399279986908852888234331533300605465553919162166584847<216>
prime factors 素因数
99877843765798207118580518889227256237568364619974265360802396789549524331404857<80>
6062060724287437129389788530797517093523678783550860710148814520494696251793807980619202251213808710884492106551681500466944585622120071<136>
factorization results 素因数分解の結果
Number: n
N=605465553919162166584846997218131238749795450826378661430207821960399279986908852888234331533300605465553919162166584846997218131238749795450826378661430207821960399279986908852888234331533300605465553919162166584847
  ( 216 digits)
SNFS difficulty: 219 digits.
Divisors found:

Sat Apr  7 12:42:38 2018  p80 factor: 99877843765798207118580518889227256237568364619974265360802396789549524331404857
Sat Apr  7 12:42:38 2018  p136 factor: 6062060724287437129389788530797517093523678783550860710148814520494696251793807980619202251213808710884492106551681500466944585622120071
Sat Apr  7 12:42:38 2018  elapsed time 06:28:25 (Msieve 1.53 - dependency 5)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.112).
Factorization parameters were as follows:
#
# 37x10^218+17 41(217)3
#
n: 605465553919162166584846997218131238749795450826378661430207821960399279986908852888234331533300605465553919162166584846997218131238749795450826378661430207821960399279986908852888234331533300605465553919162166584847
m: 1000000000000000000000000000000000000
deg: 6
c6: 3700
c0: 17
skew: 0.41
# Murphy_E = 3.17e-12
type: snfs
lss: 1
rlim: 32000000
alim: 32000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 32000000/32000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 75200000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14801803 hash collisions in 77086587 relations (64775984 unique)
Msieve: matrix is 3843332 x 3843560 (1090.6 MB)

Sieving start time: 2018/04/05 09:27:13
Sieving end time  : 2018/04/07 06:11:54

Total sieving time: 44hrs 44min 41secs.

Total relation processing time: 5hrs 29min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 36min 35sec.

Prototype def-par.txt line would be:
snfs,219,6,0,0,0,0,0,0,0,0,32000000,32000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.064000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16292592K/16703460K available (12300K kernel code, 2482K rwdata, 4000K rodata, 2372K init, 2368K bss, 410868K reserved, 0K cma-reserved)
[    0.096647] x86/mm: Memory block size: 128MB
[    0.004000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.84 BogoMIPS (lpj=11977684)
[    0.094230] smpboot: Total of 16 processors activated (95821.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJuly 2, 2013 16:00:00 UTC 2013 年 7 月 3 日 (水) 1 時 0 分 0 秒 (日本時間)
300Ignacio SantosJuly 27, 2013 05:36:35 UTC 2013 年 7 月 27 日 (土) 14 時 36 分 35 秒 (日本時間)
403e61610110Ignacio SantosJuly 27, 2013 05:36:35 UTC 2013 年 7 月 27 日 (土) 14 時 36 分 35 秒 (日本時間)
1500Dmitry DomanovAugust 1, 2013 10:58:54 UTC 2013 年 8 月 1 日 (木) 19 時 58 分 54 秒 (日本時間)
4511e6428232Ignacio SantosJuly 27, 2013 05:36:35 UTC 2013 年 7 月 27 日 (土) 14 時 36 分 35 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:57 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 57 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:06 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 6 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:29 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 29 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:37 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 37 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:49 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 49 秒 (日本時間)

37×10219+179

c199

name 名前Dmitry Domanov
date 日付July 9, 2013 13:32:44 UTC 2013 年 7 月 9 日 (火) 22 時 32 分 44 秒 (日本時間)
composite number 合成数
3026905928007271322605162091195919663502576476795842536976989037698347398175823077026962243294236395362891165574666565611930797194393580884073181181418995121447612234757296079658540128493141296037997<199>
prime factors 素因数
4317552393371037924396992290511<31>
701069877612750444823258396924071578080160080011396137924696074026745763860909942145271606374942199194395179223151817985118785971214929000007435095025759897485816372227<168>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2302872419
Step 1 took 82429ms
Step 2 took 25474ms
********** Factor found in step 2: 4317552393371037924396992290511
Found probable prime factor of 31 digits: 4317552393371037924396992290511

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 2, 2013 16:00:00 UTC 2013 年 7 月 3 日 (水) 1 時 0 分 0 秒 (日本時間)

37×10222+179

c198

composite cofactor 合成数の残り
219170332586680666655155233548488836311017430104764299894953055384639265615512863391141978781881528309918734916213386214736149861224256786490289528024173001768831617025595438257810333900306377470549<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 2, 2013 16:00:00 UTC 2013 年 7 月 3 日 (水) 1 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 1, 2013 10:59:05 UTC 2013 年 8 月 1 日 (木) 19 時 59 分 5 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:42 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 42 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:44 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 44 秒 (日本時間)

37×10223+179

c204

composite cofactor 合成数の残り
353516737362793028748589101593919273150620856619483716430974322850185532260702706346858262007634357869996462025842997797062458832284634574663687229482419841782065776715001033151513627185017004940491985521<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 2, 2013 16:00:00 UTC 2013 年 7 月 3 日 (水) 1 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 1, 2013 10:59:15 UTC 2013 年 8 月 1 日 (木) 19 時 59 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:43 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 43 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:45 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 45 秒 (日本時間)

37×10224+179

c219

name 名前Dmitry Domanov
date 日付July 13, 2013 09:03:12 UTC 2013 年 7 月 13 日 (土) 18 時 3 分 12 秒 (日本時間)
composite number 合成数
100427596276611582672960816979038562106990512550694561327238083946776305373503394710608788560091652938621394557687416283759313268496734325281130091655381454817502293481301725131677542839630455759703144711036284409106959<219>
prime factors 素因数
169395624915010677402565617775268285819<39>
592858264946324351688771190437712821484717899226665917596931462981594176834169724800302689145263784203775248735169003899514076599422500994922854963408386057110948110850722356488061<180>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2381226193
Step 1 took 96103ms
Step 2 took 28353ms
********** Factor found in step 2: 169395624915010677402565617775268285819
Found probable prime factor of 39 digits: 169395624915010677402565617775268285819

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 2, 2013 16:00:00 UTC 2013 年 7 月 3 日 (水) 1 時 0 分 0 秒 (日本時間)

37×10227+179

c137

name 名前Serge Batalov
date 日付November 8, 2013 00:49:08 UTC 2013 年 11 月 8 日 (金) 9 時 49 分 8 秒 (日本時間)
composite number 合成数
32922356543878893146628098365857506775427623895137293341437499361304574619448705341449138818957610461764631311314168286722027298928838319<137>
prime factors 素因数
1489197640283923612075931599403627627347<40>
22107446085935287407610607969265955106889256671380802423694856498506058783764284252471960794365877<98>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3376821301
Step 1 took 34148ms
Step 2 took 13299ms
********** Factor found in step 2: 1489197640283923612075931599403627627347
Found probable prime factor of 40 digits: 1489197640283923612075931599403627627347
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJuly 2, 2013 16:00:00 UTC 2013 年 7 月 3 日 (水) 1 時 0 分 0 秒 (日本時間)
300Ignacio SantosJuly 3, 2013 16:14:28 UTC 2013 年 7 月 4 日 (木) 1 時 14 分 28 秒 (日本時間)
403e61610110Ignacio SantosJuly 3, 2013 16:14:28 UTC 2013 年 7 月 4 日 (木) 1 時 14 分 28 秒 (日本時間)
1500Dmitry DomanovAugust 1, 2013 10:59:25 UTC 2013 年 8 月 1 日 (木) 19 時 59 分 25 秒 (日本時間)
4511e6262 / 410532Ignacio SantosJuly 3, 2013 16:14:28 UTC 2013 年 7 月 4 日 (木) 1 時 14 分 28 秒 (日本時間)
230Ignacio SantosOctober 2, 2013 22:05:16 UTC 2013 年 10 月 3 日 (木) 7 時 5 分 16 秒 (日本時間)

37×10231+179

c196

composite cofactor 合成数の残り
5231464260214739219053740851891913593771427408762470736518282583520855648341951373534946480410839676129909166152954574362715936421249903728782261145939909487302694515355292699748461563632966662447<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 2, 2013 16:00:00 UTC 2013 年 7 月 3 日 (水) 1 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 1, 2013 10:59:38 UTC 2013 年 8 月 1 日 (木) 19 時 59 分 38 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:43 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 43 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:45 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 45 秒 (日本時間)

37×10232+179

c227

name 名前Dmitry Domanov
date 日付July 9, 2013 13:36:20 UTC 2013 年 7 月 9 日 (火) 22 時 36 分 20 秒 (日本時間)
composite number 合成数
13547282266889442569976564300106573174308743514833596718130595141995839080401692297209358711567046726517095150728344001085832980829387321230337813199893335290000263988932822359137647381158388563223207475785789054681993842137767<227>
prime factors 素因数
22204566484431403181677754323958151587<38>
composite cofactor 合成数の残り
610112441347955934341936771719023722942437322732679187990156450999407157229869179355440569124069366386146796754074581545551267314971695642868255194056892947132251022020405295635937305572141<189>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1605387373
Step 1 took 97441ms
Step 2 took 29135ms
********** Factor found in step 2: 22204566484431403181677754323958151587
Found probable prime factor of 38 digits: 22204566484431403181677754323958151587

c189

name 名前Serge Batalov
date 日付January 9, 2014 07:57:33 UTC 2014 年 1 月 9 日 (木) 16 時 57 分 33 秒 (日本時間)
composite number 合成数
610112441347955934341936771719023722942437322732679187990156450999407157229869179355440569124069366386146796754074581545551267314971695642868255194056892947132251022020405295635937305572141<189>
prime factors 素因数
1749307159072713641937658878045301147<37>
composite cofactor 合成数の残り
348773763477518200557014233289825600183920284792660114919039917431529929936719066354785043150318541385416419419101930936078226060161026508288514676582103<153>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2956722652
Step 1 took 16141ms
Step 2 took 6306ms
********** Factor found in step 2: 1749307159072713641937658878045301147
Found probable prime factor of 37 digits: 1749307159072713641937658878045301147
Composite cofactor 

c153

name 名前Ignacio Santos
date 日付March 8, 2016 17:39:18 UTC 2016 年 3 月 9 日 (水) 2 時 39 分 18 秒 (日本時間)
composite number 合成数
348773763477518200557014233289825600183920284792660114919039917431529929936719066354785043150318541385416419419101930936078226060161026508288514676582103<153>
prime factors 素因数
129378091546484664240945563400401257514759<42>
2695771434781182952763519958524239960954027134137833737355009490497845022123304098850101327656451017575592336817<112>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4204130996
Step 1 took 37031ms
Step 2 took 17063ms
********** Factor found in step 2: 129378091546484664240945563400401257514759
Found prime factor of 42 digits: 129378091546484664240945563400401257514759
Prime cofactor 2695771434781182952763519958524239960954027134137833737355009490497845022123304098850101327656451017575592336817 has 112 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 2, 2013 16:00:00 UTC 2013 年 7 月 3 日 (水) 1 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovAugust 1, 2013 10:59:46 UTC 2013 年 8 月 1 日 (木) 19 時 59 分 46 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:44 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 44 秒 (日本時間)
4511e61430 / 4077230Ignacio SantosFebruary 7, 2014 16:53:24 UTC 2014 年 2 月 8 日 (土) 1 時 53 分 24 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:32 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 32 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:50 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 50 秒 (日本時間)

37×10234+179

c206

composite cofactor 合成数の残り
56613995133385440684599699355660288197725543489849574577310232330521241255820987089466915392566020807102343036375200127009222042141692416512178814902823629343042711567218504087056168063219254523901505463849<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 2, 2013 16:00:00 UTC 2013 年 7 月 3 日 (水) 1 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 1, 2013 10:59:56 UTC 2013 年 8 月 1 日 (木) 19 時 59 分 56 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:45 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 45 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:45 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 45 秒 (日本時間)

37×10236+179

c228

name 名前Dmitry Domanov
date 日付July 9, 2013 13:34:40 UTC 2013 年 7 月 9 日 (火) 22 時 34 分 40 秒 (日本時間)
composite number 合成数
287845633730290145304848550451970239021605085602323938496764371069349864427573299953060802458085080117735016312638775198518383465496298518350487722207094028164823477219274060952866842034378488669874894676786667839530265475829333<228>
prime factors 素因数
1509509660424417715590233353<28>
composite cofactor 合成数の残り
190688169328680353120950834759602931734659458396503005826809245396397016864286943762246905593948379508096225996506138566200049382388657834477895760169100626233858190029031548357431251543139548699911661<201>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=532192135
Step 1 took 97420ms
Step 2 took 29133ms
********** Factor found in step 2: 1509509660424417715590233353
Found probable prime factor of 28 digits: 1509509660424417715590233353

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 2, 2013 16:00:00 UTC 2013 年 7 月 3 日 (水) 1 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 1, 2013 11:00:06 UTC 2013 年 8 月 1 日 (木) 20 時 0 分 6 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:45 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 45 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:46 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 46 秒 (日本時間)

37×10238+179

c190

name 名前Dmitry Domanov
date 日付July 9, 2013 13:33:50 UTC 2013 年 7 月 9 日 (火) 22 時 33 分 50 秒 (日本時間)
composite number 合成数
1537294755815037158380800833344538218053703946302228678399280933323004909773763255126405992119653445605633229222943487447882838983003667740880633309355978832225329765755486421766350723787303<190>
prime factors 素因数
3415311005781470696478091327186027<34>
450118526017891222868562011810763367549413751807682586943894185211393654356797159317414934038755249311372112768800476272157414067593309566455984055709556789<156>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2535711339
Step 1 took 72196ms
Step 2 took 23500ms
********** Factor found in step 2: 3415311005781470696478091327186027
Found probable prime factor of 34 digits: 3415311005781470696478091327186027

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 2, 2013 16:00:00 UTC 2013 年 7 月 3 日 (水) 1 時 0 分 0 秒 (日本時間)

37×10239+179

c210

name 名前Serge Batalov
date 日付May 19, 2014 03:04:40 UTC 2014 年 5 月 19 日 (月) 12 時 4 分 40 秒 (日本時間)
composite number 合成数
449279945938741960530900760518367621814316911339196718576069982518250781912664385833394957455374868384933186674493817510452419767866422036870560929064179768050451273941528858456319596582083674445269014883186571<210>
prime factors 素因数
81361025530237496207171817943964876441573<41>
5522053624702270806532133221468616753085979794309853215950002593146098572296421364255751468989235884066180370821261765919201997766004638884958348312216440538706031831727<169>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2661189035
Step 1 took 17435ms
Step 2 took 12984ms
********** Factor found in step 2: 81361025530237496207171817943964876441573
Found probable prime factor of 41 digits: 81361025530237496207171817943964876441573
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 2, 2013 16:00:00 UTC 2013 年 7 月 3 日 (水) 1 時 0 分 0 秒 (日本時間)
403e61800 / 23181500Dmitry DomanovAugust 1, 2013 11:00:18 UTC 2013 年 8 月 1 日 (木) 20 時 0 分 18 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:46 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 46 秒 (日本時間)

37×10240+179

c185

name 名前Dmitry Domanov
date 日付July 9, 2013 13:31:52 UTC 2013 年 7 月 9 日 (火) 22 時 31 分 52 秒 (日本時間)
composite number 合成数
13960568469332629786254614966143352668528371200975932448564216959243557557418436231137800302329610136776399351430352901852731265713798643699930224829223698854658815781678963239008078353<185>
prime factors 素因数
69614190965767192191370705521971597<35>
composite cofactor 合成数の残り
200541991160936499674711280124628562898236076122546453719496977687945394222005766121166666931890630379200379121988634669257886187580113831848211603349<150>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3820679204
Step 1 took 71621ms
Step 2 took 23316ms
********** Factor found in step 2: 69614190965767192191370705521971597
Found probable prime factor of 35 digits: 69614190965767192191370705521971597

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJuly 2, 2013 16:00:00 UTC 2013 年 7 月 3 日 (水) 1 時 0 分 0 秒 (日本時間)
300Ignacio SantosJuly 21, 2013 22:33:44 UTC 2013 年 7 月 22 日 (月) 7 時 33 分 44 秒 (日本時間)
403e61610110Ignacio SantosJuly 21, 2013 22:33:44 UTC 2013 年 7 月 22 日 (月) 7 時 33 分 44 秒 (日本時間)
1500Dmitry DomanovAugust 1, 2013 11:00:27 UTC 2013 年 8 月 1 日 (木) 20 時 0 分 27 秒 (日本時間)
4511e6410832Ignacio SantosJuly 21, 2013 22:33:44 UTC 2013 年 7 月 22 日 (月) 7 時 33 分 44 秒 (日本時間)
230Ignacio SantosOctober 7, 2013 18:13:14 UTC 2013 年 10 月 8 日 (火) 3 時 13 分 14 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:10:59 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 59 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:03 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 3 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:04 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 4 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:50 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 50 秒 (日本時間)
1396Ignacio SantosJanuary 15, 2016 13:25:35 UTC 2016 年 1 月 15 日 (金) 22 時 25 分 35 秒 (日本時間)

37×10243+179

c224

name 名前Dmitry Domanov
date 日付July 9, 2013 13:28:49 UTC 2013 年 7 月 9 日 (火) 22 時 28 分 49 秒 (日本時間)
composite number 合成数
65174771146147717546604147354843291314109064674596846661584354566878770728074662711491024576368536527116228539380562576618811753757440589904106905385136703452499170132550778316435385350673491855446249394742432466411017001237<224>
prime factors 素因数
611975445467816560441296346674963919<36>
106498997024832790583614050686641539363129533869348071840918397269469266182921713527311977850175649230354827816276295006063641283522498402749859047104627646441352738262009187900713765416923<189>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1488409851
Step 1 took 97418ms
Step 2 took 29274ms
********** Factor found in step 2: 611975445467816560441296346674963919
Found probable prime factor of 36 digits: 611975445467816560441296346674963919

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 2, 2013 16:00:00 UTC 2013 年 7 月 3 日 (水) 1 時 0 分 0 秒 (日本時間)

37×10244+179

c214

composite cofactor 合成数の残り
5418039903672176446906443130663885913411723509899335174157867505050095741166909789938167135860160212299736062188082678889373392458493797066891267540209385952913358239638655592034655376047438272824439788708861164171<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 2, 2013 16:00:00 UTC 2013 年 7 月 3 日 (水) 1 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovAugust 1, 2013 11:00:36 UTC 2013 年 8 月 1 日 (木) 20 時 0 分 36 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:47 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 47 秒 (日本時間)
4511e6300 / 3744Serge BatalovMay 27, 2014 00:31:50 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 50 秒 (日本時間)
5043e695 / 7417CypFebruary 14, 2014 05:54:06 UTC 2014 年 2 月 14 日 (金) 14 時 54 分 6 秒 (日本時間)

37×10245+179

c185

composite cofactor 合成数の残り
11402113822974808812426346957113988949026532610205286019753779145626085206034039446942991377587083595202653606683682052596986875433124216619261402940275571833539483235446077082655212103<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 2, 2013 16:00:00 UTC 2013 年 7 月 3 日 (水) 1 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 1, 2013 11:00:47 UTC 2013 年 8 月 1 日 (木) 20 時 0 分 47 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:47 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 47 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:46 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 46 秒 (日本時間)

37×10246+179

c234

name 名前Dmitry Domanov
date 日付July 9, 2013 13:29:45 UTC 2013 年 7 月 9 日 (火) 22 時 29 分 45 秒 (日本時間)
composite number 合成数
500242155019369125646650818213044329982133024708556140082019700752558105111956198012543137199346060454024489750370048467685947343354280863617352524156885331943223322677001052256801473524583658722377935133887346528360404819982815562587<234>
prime factors 素因数
589614138838840388134021684573781<33>
848422929620588076980462352264364749444706790195450614844001878314211527113635522131643057695587880530198871104465017606098088854529381727572301860051054362533082402668098812723071097275289747016780527<201>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=619923533
Step 1 took 113723ms
Step 2 took 31658ms
********** Factor found in step 2: 589614138838840388134021684573781
Found probable prime factor of 33 digits: 589614138838840388134021684573781

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 2, 2013 16:00:00 UTC 2013 年 7 月 3 日 (水) 1 時 0 分 0 秒 (日本時間)

37×10248+179

c233

composite cofactor 合成数の残り
18011961415927794655788573237743544503657423946484698927461714719098731438211048972855666074632734460517967676602084700210998729638388398423412362289647146053698121961097062220111719441250350062656543799517925619826981002410188235627<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 2, 2013 16:00:00 UTC 2013 年 7 月 3 日 (水) 1 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 1, 2013 11:00:57 UTC 2013 年 8 月 1 日 (木) 20 時 0 分 57 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:48 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 48 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:47 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 47 秒 (日本時間)

37×10249+179

c214

composite cofactor 合成数の残り
1723358218898660119318311834197788405511049710019697195902995060333009045713012490045632347093784535876092561652337515970010556783270858476014313637502860849178377204049922532618757206531206388601928840019094037493<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 2, 2013 16:00:00 UTC 2013 年 7 月 3 日 (水) 1 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovAugust 1, 2013 11:01:06 UTC 2013 年 8 月 1 日 (木) 20 時 1 分 6 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:42:49 UTC 2014 年 1 月 9 日 (木) 13 時 42 分 49 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:47 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 47 秒 (日本時間)

37×10250+179

c244

name 名前Dmitry Domanov
date 日付July 9, 2013 13:27:41 UTC 2013 年 7 月 9 日 (火) 22 時 27 分 41 秒 (日本時間)
composite number 合成数
5568416339834489509637882724968045943829337610840267855273728974732197174733036952116179558912497920685614723290116553124400031357708880213898222382412015522758185304886070126438116887409977708124414253394036295328997162380182542018479587261757<244>
prime factors 素因数
36227767787978666323625761206583<32>
composite cofactor 合成数の残り
153705753344323843727641293612733500146995826771963415086291407098437691965688039345907320671268628763130915106169122686435188977447061940902125892385973331170685935979276606696088861935507205807051681644232199979<213>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2516291205
Step 1 took 113145ms
Step 2 took 32400ms
********** Factor found in step 2: 36227767787978666323625761206583
Found probable prime factor of 32 digits: 36227767787978666323625761206583

c213

name 名前Dmitry Domanov
date 日付August 5, 2013 04:59:18 UTC 2013 年 8 月 5 日 (月) 13 時 59 分 18 秒 (日本時間)
composite number 合成数
153705753344323843727641293612733500146995826771963415086291407098437691965688039345907320671268628763130915106169122686435188977447061940902125892385973331170685935979276606696088861935507205807051681644232199979<213>
prime factors 素因数
108510794249972473127567508974628652112026348603<48>
1416501965603876644710384140565635779922289964156798560633632072947853667696912916278014651332584343691164364746454540608850993084757767303073560346349424540971133393<166>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3671690416
Step 1 took 617882ms
Step 2 took 144640ms
********** Factor found in step 2: 108510794249972473127567508974628652112026348603
Found probable prime factor of 48 digits: 108510794249972473127567508974628652112026348603

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 2, 2013 16:00:00 UTC 2013 年 7 月 3 日 (水) 1 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovJuly 20, 2013 20:40:40 UTC 2013 年 7 月 21 日 (日) 5 時 40 分 40 秒 (日本時間)
4511e61000 / 2740Dmitry DomanovJuly 20, 2013 20:40:40 UTC 2013 年 7 月 21 日 (日) 5 時 40 分 40 秒 (日本時間)
5043e6400 / 7272Dmitry DomanovAugust 1, 2013 12:05:11 UTC 2013 年 8 月 1 日 (木) 21 時 5 分 11 秒 (日本時間)