Table of contents 目次

31×10105+419

c95

name 名前Robert Backstrom
date 日付November 21, 2008 14:29:59 UTC 2008 年 11 月 21 日 (金) 23 時 29 分 59 秒 (日本時間)
composite number 合成数
14004528310362318666354244575991794858089633112257439635385050554676123620105734472655682664973<95>
prime factors 素因数
594693148785308211822209674660147831<36>
23549167060302104560864919762949010499061378501200898045083<59>
factorization results 素因数分解の結果
Number: n
N=14004528310362318666354244575991794858089633112257439635385050554676123620105734472655682664973
  ( 95 digits)
SNFS difficulty: 106 digits.
Divisors found:
 r1=594693148785308211822209674660147831 (pp36)
 r2=23549167060302104560864919762949010499061378501200898045083 (pp59)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.64 hours.
Scaled time: 1.30 units (timescale=2.045).
Factorization parameters were as follows:
name: KA_3_4_104_9
n: 14004528310362318666354244575991794858089633112257439635385050554676123620105734472655682664973
type: snfs
skew: 1.06
deg: 5
c5: 31
c0: 41
m: 1000000000000000000000
rlim: 400000
alim: 400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 400000/400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [100000, 160001)
Primes: RFBsize:33860, AFBsize:34095, largePrimes:3193883 encountered
Relations: rels:2701320, finalFF:112185
Max relations in full relation-set: 28
Initial matrix: 68020 x 112185 with sparse part having weight 7919858.
Pruned matrix : 55163 x 55567 with weight 2392508.
Total sieving time: 0.51 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.01 hours.
Total square root time: 0.08 hours, sqrts: 5.
Prototype def-par.txt line would be:
snfs,106,5,0,0,0,0,0,0,0,0,400000,400000,28,28,56,56,2.5,2.5,50000
total time: 0.64 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 KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10111+419

c107

name 名前Serge Batalov
date 日付November 21, 2008 09:11:43 UTC 2008 年 11 月 21 日 (金) 18 時 11 分 43 秒 (日本時間)
composite number 合成数
38996506667773664275300241652546157397448622102465208197317291931622770437628861440380002088200034467880087<107>
prime factors 素因数
41454123728155760979248725791099159638505634915673<50>
940714774807484928843711276649544526402883573778713355119<57>
factorization results 素因数分解の結果
SNFS difficulty: 112 digits.
Divisors found:
 r1=41454123728155760979248725791099159638505634915673 (pp50)
 r2=940714774807484928843711276649544526402883573778713355119 (pp57)
Version: Msieve-1.38
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.949).
Factorization parameters were as follows:
n: 38996506667773664275300241652546157397448622102465208197317291931622770437628861440380002088200034467880087
m: 10000000000000000000000
deg: 5
c5: 310
c0: 41
skew: 0.67
type: snfs
lss: 1
rlim: 520000
alim: 520000
lpbr: 25
lpba: 25
mfbr: 47
mfba: 47
rlambda: 2.4
alambda: 2.4
Factor base limits: 520000/520000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 47/47
Sieved rational special-q in [260000, 360001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 90705 x 90947
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,112,5,0,0,0,0,0,0,0,0,520000,520000,25,25,47,47,2.4,2.4,50000
total time: 0.50 hours.
software ソフトウェア
Msieve-1.38
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 KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10112+419

c106

name 名前Erik Branger
date 日付November 21, 2008 14:17:29 UTC 2008 年 11 月 21 日 (金) 23 時 17 分 29 秒 (日本時間)
composite number 合成数
3324611162326209839139546875017259826094737883741500671780583556556842641231117669818215731165592479437843<106>
prime factors 素因数
258792217686256918312919174969009069760596232037<48>
12846642731570680842788982699578386236853374596065485513239<59>
factorization results 素因数分解の結果
Number: 34449_112
N=3324611162326209839139546875017259826094737883741500671780583556556842641231117669818215731165592479437843
  ( 106 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=258792217686256918312919174969009069760596232037
 r2=12846642731570680842788982699578386236853374596065485513239
Version: 
Total time: 1.68 hours.
Scaled time: 3.69 units (timescale=2.195).
Factorization parameters were as follows:
n: 3324611162326209839139546875017259826094737883741500671780583556556842641231117669818215731165592479437843
m: 20000000000000000000000
deg: 5
c5: 775
c0: 328
skew: 0.84
type: snfs
lss: 1
rlim: 560000
alim: 560000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 560000/560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [280000, 530001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 66642 x 66860
Total sieving time: 1.68 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,114,5,0,0,0,0,0,0,0,0,560000,560000,25,25,45,45,2.2,2.2,50000
total time: 1.68 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 KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)
351e6200 / 825Erik BrangerNovember 21, 2008 14:16:59 UTC 2008 年 11 月 21 日 (金) 23 時 16 分 59 秒 (日本時間)

31×10116+419

c89

name 名前Sinkiti Sibata
date 日付November 21, 2008 22:48:29 UTC 2008 年 11 月 22 日 (土) 7 時 48 分 29 秒 (日本時間)
composite number 合成数
12326263097453348113695198957819947847469270526475883181784504535093721446219669534715947<89>
prime factors 素因数
24351976690366456440494140268150735011<38>
506170946785176908374198765538995513913432276329177<51>
factorization results 素因数分解の結果
Sat Nov 22 05:22:34 2008  Msieve v. 1.38
Sat Nov 22 05:22:34 2008  random seeds: 1a24b790 2ab2abb3
Sat Nov 22 05:22:34 2008  factoring 12326263097453348113695198957819947847469270526475883181784504535093721446219669534715947 (89 digits)
Sat Nov 22 05:22:35 2008  searching for 15-digit factors
Sat Nov 22 05:22:36 2008  commencing quadratic sieve (89-digit input)
Sat Nov 22 05:22:36 2008  using multiplier of 3
Sat Nov 22 05:22:36 2008  using 32kb Intel Core sieve core
Sat Nov 22 05:22:36 2008  sieve interval: 28 blocks of size 32768
Sat Nov 22 05:22:36 2008  processing polynomials in batches of 8
Sat Nov 22 05:22:36 2008  using a sieve bound of 1533107 (58333 primes)
Sat Nov 22 05:22:36 2008  using large prime bound of 122648560 (26 bits)
Sat Nov 22 05:22:36 2008  using double large prime bound of 362737408899600 (42-49 bits)
Sat Nov 22 05:22:36 2008  using trial factoring cutoff of 49 bits
Sat Nov 22 05:22:36 2008  polynomial 'A' values have 11 factors
Sat Nov 22 06:30:13 2008  58550 relations (15565 full + 42985 combined from 620271 partial), need 58429
Sat Nov 22 06:30:14 2008  begin with 635836 relations
Sat Nov 22 06:30:14 2008  reduce to 142791 relations in 11 passes
Sat Nov 22 06:30:14 2008  attempting to read 142791 relations
Sat Nov 22 06:30:16 2008  recovered 142791 relations
Sat Nov 22 06:30:16 2008  recovered 123483 polynomials
Sat Nov 22 06:30:16 2008  attempting to build 58550 cycles
Sat Nov 22 06:30:16 2008  found 58550 cycles in 5 passes
Sat Nov 22 06:30:16 2008  distribution of cycle lengths:
Sat Nov 22 06:30:16 2008     length 1 : 15565
Sat Nov 22 06:30:16 2008     length 2 : 11170
Sat Nov 22 06:30:16 2008     length 3 : 10250
Sat Nov 22 06:30:16 2008     length 4 : 7878
Sat Nov 22 06:30:16 2008     length 5 : 5508
Sat Nov 22 06:30:16 2008     length 6 : 3522
Sat Nov 22 06:30:16 2008     length 7 : 2079
Sat Nov 22 06:30:16 2008     length 9+: 2578
Sat Nov 22 06:30:16 2008  largest cycle: 18 relations
Sat Nov 22 06:30:17 2008  matrix is 58333 x 58550 (14.2 MB) with weight 3493391 (59.67/col)
Sat Nov 22 06:30:17 2008  sparse part has weight 3493391 (59.67/col)
Sat Nov 22 06:30:17 2008  filtering completed in 3 passes
Sat Nov 22 06:30:17 2008  matrix is 54459 x 54523 (13.4 MB) with weight 3283171 (60.22/col)
Sat Nov 22 06:30:17 2008  sparse part has weight 3283171 (60.22/col)
Sat Nov 22 06:30:17 2008  saving the first 48 matrix rows for later
Sat Nov 22 06:30:18 2008  matrix is 54411 x 54523 (9.4 MB) with weight 2678963 (49.13/col)
Sat Nov 22 06:30:18 2008  sparse part has weight 2139290 (39.24/col)
Sat Nov 22 06:30:18 2008  matrix includes 64 packed rows
Sat Nov 22 06:30:18 2008  using block size 21809 for processor cache size 1024 kB
Sat Nov 22 06:30:18 2008  commencing Lanczos iteration
Sat Nov 22 06:30:18 2008  memory use: 8.7 MB
Sat Nov 22 06:30:38 2008  lanczos halted after 861 iterations (dim = 54411)
Sat Nov 22 06:30:38 2008  recovered 18 nontrivial dependencies
Sat Nov 22 06:30:38 2008  prp38 factor: 24351976690366456440494140268150735011
Sat Nov 22 06:30:38 2008  prp51 factor: 506170946785176908374198765538995513913432276329177
Sat Nov 22 06:30:38 2008  elapsed time 01:08:04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10117+419

c98

name 名前Serge Batalov
date 日付November 21, 2008 10:42:06 UTC 2008 年 11 月 21 日 (金) 19 時 42 分 6 秒 (日本時間)
composite number 合成数
76599433190693934940858766973705344541625064851584767669359016250446700007292712988526669725681243<98>
prime factors 素因数
39060798498707080488288532923358921<35>
1961030909115423998982595692229352015289040401796279581247674883<64>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=406823575
Step 1 took 13031ms
********** Factor found in step 1: 39060798498707080488288532923358921
Found probable prime factor of 35 digits: 39060798498707080488288532923358921
Probable prime cofactor 1961030909115423998982595692229352015289040401796279581247674883 has 64 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 KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10118+419

c97

name 名前Serge Batalov
date 日付November 21, 2008 10:09:48 UTC 2008 年 11 月 21 日 (金) 19 時 9 分 48 秒 (日本時間)
composite number 合成数
1221507805950426648099177028559760652298440632782582238373530572686579523660779453850104267709627<97>
prime factors 素因数
667275628520032946456406704929974171499<39>
1830589570099598722655453913313123714527630752671977509873<58>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4183339842
Step 1 took 11372ms
Step 2 took 9026ms
********** Factor found in step 2: 667275628520032946456406704929974171499
Found probable prime factor of 39 digits: 667275628520032946456406704929974171499
Probable prime cofactor 1830589570099598722655453913313123714527630752671977509873 has 58 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 KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10124+419

c89

name 名前Serge Batalov
date 日付November 21, 2008 09:18:28 UTC 2008 年 11 月 21 日 (金) 18 時 18 分 28 秒 (日本時間)
composite number 合成数
15116864939773542290353717005311943171971991121151913315381622569020566783435013849818703<89>
prime factors 素因数
48404523956151107959172206679<29>
312302729254556267292136300344926518307355113530119444922057<60>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2358009462
Step 1 took 11056ms
********** Factor found in step 1: 48404523956151107959172206679
Found probable prime factor of 29 digits: 48404523956151107959172206679
Probable prime cofactor 312302729254556267292136300344926518307355113530119444922057 has 60 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 KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10125+419

c110

name 名前Erik Branger
date 日付November 21, 2008 16:17:47 UTC 2008 年 11 月 22 日 (土) 1 時 17 分 47 秒 (日本時間)
composite number 合成数
12733487663370052831395840247528589876745259188248257431076297252867117599646478553622394464399720261573253953<110>
prime factors 素因数
874649588582602018285507418779006331185511<42>
14558387529805029615527432457618027810773080096835070639069566035223<68>
factorization results 素因数分解の結果
Number: 34449_125
N=12733487663370052831395840247528589876745259188248257431076297252867117599646478553622394464399720261573253953
  ( 110 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=874649588582602018285507418779006331185511
 r2=14558387529805029615527432457618027810773080096835070639069566035223
Version: 
Total time: 2.26 hours.
Scaled time: 4.52 units (timescale=1.997).
Factorization parameters were as follows:
n: 12733487663370052831395840247528589876745259188248257431076297252867117599646478553622394464399720261573253953
m: 10000000000000000000000000
deg: 5
c5: 31
c0: 41
skew: 1.06
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor 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, 700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 121472 x 121697
Total sieving time: 2.26 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,126,5,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,50000
total time: 2.26 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 KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10127+419

c117

name 名前Robert Backstrom
date 日付November 22, 2008 10:28:43 UTC 2008 年 11 月 22 日 (土) 19 時 28 分 43 秒 (日本時間)
composite number 合成数
173763467848970278713974750561149146568806736167382405237857999467581269407965348000471968423452003995969697905358771<117>
prime factors 素因数
9973580693615855217576522026614909705580359<43>
17422375492504637407894128118367596750344220464668292825505166710628246069<74>
factorization results 素因数分解の結果
Number: n
N=173763467848970278713974750561149146568806736167382405237857999467581269407965348000471968423452003995969697905358771
  ( 117 digits)
SNFS difficulty: 128 digits.
Divisors found:

Sat Nov 22 21:21:13 2008  prp43 factor: 9973580693615855217576522026614909705580359
Sat Nov 22 21:21:13 2008  prp74 factor: 17422375492504637407894128118367596750344220464668292825505166710628246069
Sat Nov 22 21:21:13 2008  elapsed time 00:09:04 (Msieve 1.38)

Version: GGNFS-0.77.1-20050930-k8
Total time: 2.73 hours.
Scaled time: 2.28 units (timescale=0.836).
Factorization parameters were as follows:
name: KA_3_4_126_9
n: 173763467848970278713974750561149146568806736167382405237857999467581269407965348000471968423452003995969697905358771
type: snfs
skew: 0.42
deg: 5
c5: 3100
c0: 41
m: 10000000000000000000000000
rlim: 800000
alim: 800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 550001)
Primes: RFBsize:63951, AFBsize:63920, largePrimes:5985205 encountered
Relations: rels:5100087, finalFF:107496
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 2.62 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,800000,800000,28,28,56,56,2.5,2.5,50000
total time: 2.73 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10131+419

c104

name 名前Robert Backstrom
date 日付November 22, 2008 15:51:51 UTC 2008 年 11 月 23 日 (日) 0 時 51 分 51 秒 (日本時間)
composite number 合成数
14294430912933799768877945621994775259320155089090998487296732530834015369018161723244761086025290478321<104>
prime factors 素因数
1248935601417172450982864120557249528038055829<46>
11445290611232355952658107212384022849920784550095471386349<59>
factorization results 素因数分解の結果
Number: n
N=14294430912933799768877945621994775259320155089090998487296732530834015369018161723244761086025290478321
  ( 104 digits)
Divisors found:
 r1=1248935601417172450982864120557249528038055829 (pp46)
 r2=11445290611232355952658107212384022849920784550095471386349 (pp59)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 7.75 hours.
Scaled time: 15.85 units (timescale=2.045).
Factorization parameters were as follows:
name: KA_3_4_130_9
n: 14294430912933799768877945621994775259320155089090998487296732530834015369018161723244761086025290478321
skew: 3390.65
# norm 2.31e+13
c5: 91800
c4: 6859206
c3: -4725006547371
c2: -2699552177629954
c1: 27385722727592109576
c0: -21567600773132452286336
# alpha -4.55
Y1: 91767493427
Y0: -43497552812811424329
# Murphy_E 2.47e-09
# M 7075543479495724653964217112395499653546303942025095148589176977474698349047121752729839508576224373702
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [100000, 1000001)
Primes: RFBsize:169511, AFBsize:169506, largePrimes:4076820 encountered
Relations: rels:4026657, finalFF:415113
Max relations in full relation-set: 28
Initial matrix: 339097 x 415113 with sparse part having weight 23662065.
Pruned matrix : 265650 x 267409 with weight 11101962.
Polynomial selection time: 0.98 hours.
Total sieving time: 6.36 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.20 hours.
Total square root time: 0.08 hours, sqrts: 1.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 7.75 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 KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10139+419

c96

name 名前Robert Backstrom
date 日付November 22, 2008 06:30:45 UTC 2008 年 11 月 22 日 (土) 15 時 30 分 45 秒 (日本時間)
composite number 合成数
122796739732476938843056250443218226969682997756544001036135289144535313607829770602408058533797<96>
prime factors 素因数
17751030558599310472733314763851239959047<41>
6917724541519043115256611096093267885584506550050379251<55>
factorization results 素因数分解の結果
Number: n
N=122796739732476938843056250443218226969682997756544001036135289144535313607829770602408058533797
  ( 96 digits)
Divisors found:
 r1=17751030558599310472733314763851239959047 (pp41)
 r2=6917724541519043115256611096093267885584506550050379251 (pp55)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 9.83 hours.
Scaled time: 12.88 units (timescale=1.310).
Factorization parameters were as follows:
name: KA_3_4_138_9
n:  122796739732476938843056250443218226969682997756544001036135289144535313607829770602408058533797
m:  7243743645372881631714
deg: 4
c4: 44599968
c3: 106520161388
c2: -859752888831163147
c1: -226792341741364904
c0: 453710617209311880093505
skew: 1635.250
type: gnfs
# adj. I(F,S) = 56.152
# E(F1,F2) = 2.818535e-05
# GGNFS version 0.77.1-20060513-athlon-xp polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1227291941.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [100000, 1300001)
Primes: RFBsize:92938, AFBsize:92030, largePrimes:1875231 encountered
Relations: rels:1947293, finalFF:232210
Max relations in full relation-set: 28
Initial matrix: 185049 x 232210 with sparse part having weight 18482100.
Pruned matrix : 164303 x 165292 with weight 10782603.
Polynomial selection time: 0.17 hours.
Total sieving time: 8.95 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.51 hours.
Total square root time: 0.09 hours, sqrts: 2.
Prototype def-par.txt line would be:
gnfs,95,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 9.83 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10140+419

c104

name 名前Robert Backstrom
date 日付November 22, 2008 01:23:09 UTC 2008 年 11 月 22 日 (土) 10 時 23 分 9 秒 (日本時間)
composite number 合成数
10369008614240863352321120069636994460028391623281167738181012372516588639848686662393445079840448856819<104>
prime factors 素因数
1788847380174561304042465308411568243<37>
5796474718390466137267505980824046764103166906082630165666673013633<67>
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 10369008614240863352321120069636994460028391623281167738181012372516588639848686662393445079840448856819 (104 digits)
Using B1=2156000, B2=2854157680, polynomial Dickson(6), sigma=3161595063
Step 1 took 22047ms
Step 2 took 8375ms
********** Factor found in step 2: 1788847380174561304042465308411568243
Found probable prime factor of 37 digits: 1788847380174561304042465308411568243
Probable prime cofactor 5796474718390466137267505980824046764103166906082630165666673013633 has 67 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10141+419

c125

name 名前Sinkiti Sibata
date 日付November 22, 2008 13:17:00 UTC 2008 年 11 月 22 日 (土) 22 時 17 分 0 秒 (日本時間)
composite number 合成数
73945521671203103330866766193284634285998509123366560370612765483356140853530412183713691765269584991516030247771197457427897<125>
prime factors 素因数
250844864487752569642988214862325027<36>
294785870231812031961140657885418584096523225421107367822479810640014905616838732440253811<90>
factorization results 素因数分解の結果
Number: 34449_141
N=73945521671203103330866766193284634285998509123366560370612765483356140853530412183713691765269584991516030247771197457427897
  ( 125 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=250844864487752569642988214862325027 (pp36)
 r2=294785870231812031961140657885418584096523225421107367822479810640014905616838732440253811 (pp90)
Version: GGNFS-0.77.1-20060513-k8
Total time: 15.03 hours.
Scaled time: 29.39 units (timescale=1.955).
Factorization parameters were as follows:
name: 34449_141
n: 73945521671203103330866766193284634285998509123366560370612765483356140853530412183713691765269584991516030247771197457427897
m: 10000000000000000000000000000
deg: 5
c5: 310
c0: 41
skew: 0.67
type: snfs
lss: 1
rlim: 1660000
alim: 1660000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1660000/1660000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [830000, 2130001)
Primes: RFBsize:125335, AFBsize:125478, largePrimes:4027860 encountered
Relations: rels:4257982, finalFF:408568
Max relations in full relation-set: 28
Initial matrix: 250880 x 408568 with sparse part having weight 45738650.
Pruned matrix : 209515 x 210833 with weight 22135631.
Total sieving time: 14.18 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.62 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,1660000,1660000,26,26,48,48,2.3,2.3,100000
total time: 15.03 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 KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10142+419

c134

name 名前Sinkiti Sibata
date 日付November 23, 2008 13:10:50 UTC 2008 年 11 月 23 日 (日) 22 時 10 分 50 秒 (日本時間)
composite number 合成数
91629315033086336258089934120092012703910322193113037170545087138342097380259920272842329508498424035340485686522479420891591595441301<134>
prime factors 素因数
249013338986204435097585192153943981947080710065557<51>
367969504790916776725533016892666807229583043626074786102746866272342615210332238593<84>
factorization results 素因数分解の結果
Number: 34449_142
N=91629315033086336258089934120092012703910322193113037170545087138342097380259920272842329508498424035340485686522479420891591595441301
  ( 134 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=249013338986204435097585192153943981947080710065557 (pp51)
 r2=367969504790916776725533016892666807229583043626074786102746866272342615210332238593 (pp84)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 22.54 hours.
Scaled time: 10.66 units (timescale=0.473).
Factorization parameters were as follows:
name: 34449_142
n: 91629315033086336258089934120092012703910322193113037170545087138342097380259920272842329508498424035340485686522479420891591595441301
m: 20000000000000000000000000000
deg: 5
c5: 775
c0: 328
skew: 0.84
type: snfs
lss: 1
rlim: 1790000
alim: 1790000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1790000/1790000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [895000, 2695001)
Primes: RFBsize:134359, AFBsize:134584, largePrimes:4106423 encountered
Relations: rels:4251420, finalFF:308391
Max relations in full relation-set: 28
Initial matrix: 269010 x 308391 with sparse part having weight 34555699.
Pruned matrix : 256408 x 257817 with weight 26898094.
Total sieving time: 20.05 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 2.15 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,1790000,1790000,26,26,49,49,2.3,2.3,100000
total time: 22.54 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 KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10143+419

c123

name 名前Sinkiti Sibata
date 日付November 23, 2008 02:58:02 UTC 2008 年 11 月 23 日 (日) 11 時 58 分 2 秒 (日本時間)
composite number 合成数
273663325987250666193658535831565708877585280399160212059319626415796731264203768483627142893257335731842059187153779939471<123>
prime factors 素因数
2763241941388641272813974675010137882804144873<46>
99037048435115939648404395098604147324333042396077440279511597887787486342327<77>
factorization results 素因数分解の結果
Number: 34449_143
N=273663325987250666193658535831565708877585280399160212059319626415796731264203768483627142893257335731842059187153779939471
  ( 123 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=2763241941388641272813974675010137882804144873 (pp46)
 r2=99037048435115939648404395098604147324333042396077440279511597887787486342327 (pp77)
Version: GGNFS-0.77.1-20060513-k8
Total time: 21.55 hours.
Scaled time: 42.13 units (timescale=1.955).
Factorization parameters were as follows:
name: 34449_143
n: 273663325987250666193658535831565708877585280399160212059319626415796731264203768483627142893257335731842059187153779939471
m: 50000000000000000000000000000
deg: 5
c5: 248
c0: 1025
skew: 1.33
type: snfs
lss: 1
rlim: 1890000
alim: 1890000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1890000/1890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [945000, 2845001)
Primes: RFBsize:141338, AFBsize:141131, largePrimes:4261266 encountered
Relations: rels:4491050, finalFF:353932
Max relations in full relation-set: 28
Initial matrix: 282536 x 353932 with sparse part having weight 41049959.
Pruned matrix : 259250 x 260726 with weight 28392947.
Total sieving time: 20.22 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.03 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1890000,1890000,26,26,49,49,2.3,2.3,100000
total time: 21.55 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 KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10146+419

c134

name 名前Sinkiti Sibata
date 日付November 23, 2008 15:17:52 UTC 2008 年 11 月 24 日 (月) 0 時 17 分 52 秒 (日本時間)
composite number 合成数
19493715659669137717634283501866598231174008195488279686946974479242646515513142646151978243163268222141919758885399329471406009037177<134>
prime factors 素因数
224989048861303607305990760947<30>
10690526136524945934822924019667842419697205995921<50>
8104648192327214100807766498210552641603797424899038771<55>
factorization results 素因数分解の結果
Number: 34449_146
N=19493715659669137717634283501866598231174008195488279686946974479242646515513142646151978243163268222141919758885399329471406009037177
  ( 134 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=224989048861303607305990760947 (pp30)
 r2=10690526136524945934822924019667842419697205995921 (pp50)
 r3=8104648192327214100807766498210552641603797424899038771 (pp55)
Version: GGNFS-0.77.1-20060513-k8
Total time: 22.19 hours.
Scaled time: 43.77 units (timescale=1.972).
Factorization parameters were as follows:
name: 34449_146
n: 19493715659669137717634283501866598231174008195488279686946974479242646515513142646151978243163268222141919758885399329471406009037177
m: 100000000000000000000000000000
deg: 5
c5: 310
c0: 41
skew: 0.67
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2900001)
Primes: RFBsize:148933, AFBsize:149232, largePrimes:4381484 encountered
Relations: rels:4654922, finalFF:390109
Max relations in full relation-set: 28
Initial matrix: 298232 x 390109 with sparse part having weight 45287677.
Pruned matrix : 267944 x 269499 with weight 29530201.
Total sieving time: 20.88 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.02 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 22.19 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 KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10147+419

c138

name 名前Sinkiti Sibata
date 日付November 25, 2008 09:19:19 UTC 2008 年 11 月 25 日 (火) 18 時 19 分 19 秒 (日本時間)
composite number 合成数
112491787516595175094248525044692787688858788070759429119202756420202848274323231189071647765374520630627849399171887618027300225120326219<138>
prime factors 素因数
52645699521864232841037910835053332133<38>
26284555383594257254292409604368589956841814276767<50>
81293773300248697922814898301342394783351214050929<50>
factorization results 素因数分解の結果
Number: 34449_147
N=112491787516595175094248525044692787688858788070759429119202756420202848274323231189071647765374520630627849399171887618027300225120326219
  ( 138 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=52645699521864232841037910835053332133 (pp38)
 r2=26284555383594257254292409604368589956841814276767 (pp50)
 r3=81293773300248697922814898301342394783351214050929 (pp50)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 39.23 hours.
Scaled time: 18.52 units (timescale=0.472).
Factorization parameters were as follows:
name: 34449_147
n: 112491787516595175094248525044692787688858788070759429119202756420202848274323231189071647765374520630627849399171887618027300225120326219
m: 200000000000000000000000000000
deg: 5
c5: 775
c0: 328
skew: 0.84
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 4100001)
Primes: RFBsize:162662, AFBsize:163207, largePrimes:4709465 encountered
Relations: rels:5141491, finalFF:384765
Max relations in full relation-set: 28
Initial matrix: 325936 x 384765 with sparse part having weight 47733275.
Pruned matrix : 306013 x 307706 with weight 36858857.
Total sieving time: 34.63 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 4.11 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,149,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 39.23 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 KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10148+419

c133

name 名前Robert Backstrom
date 日付November 22, 2008 06:45:15 UTC 2008 年 11 月 22 日 (土) 15 時 45 分 15 秒 (日本時間)
composite number 合成数
6596836416721928663206667563446461274548082634185610745446412601130224788147677008292567890044088794576244499948181477445864362643631<133>
prime factors 素因数
7423689621961529739231158597<28>
702766731950884884431830689726431<33>
1264458890754132592520292456614107767172350023484547611212032793438177533<73>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.1.4] [ECM]
Input number is 6596836416721928663206667563446461274548082634185610745446412601130224788147677008292567890044088794576244499948181477445864362643631 (133 digits)
Using B1=68000, B2=20337252, polynomial x^2, sigma=1865824268
Step 1 took 906ms
********** Factor found in step 1: 7423689621961529739231158597
Found probable prime factor of 28 digits: 7423689621961529739231158597
Composite cofactor 888619642341522732989585178583008347765811867881469147602770976994452953369611679679482249149798980474723 has 105 digits


GMP-ECM 6.2.1 [powered by GMP 4.1.4] [ECM]
Input number is 888619642341522732989585178583008347765811867881469147602770976994452953369611679679482249149798980474723 (105 digits)
Using B1=2118000, B2=2854078510, polynomial Dickson(6), sigma=2632614283
Step 1 took 20141ms
Step 2 took 10594ms
********** Factor found in step 2: 702766731950884884431830689726431
Found probable prime factor of 33 digits: 702766731950884884431830689726431
Probable prime cofactor 1264458890754132592520292456614107767172350023484547611212032793438177533 has 73 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10149+419

c97

name 名前Robert Backstrom
date 日付November 21, 2008 13:53:56 UTC 2008 年 11 月 21 日 (金) 22 時 53 分 56 秒 (日本時間)
composite number 合成数
5072320277289301240298525799177849702522387783534603072805642037340932334501433151881909182127907<97>
prime factors 素因数
22521545757000487584780938305372935523<38>
225220787774420230975891805254681225718909593400875653913409<60>
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 5072320277289301240298525799177849702522387783534603072805642037340932334501433151881909182127907 (97 digits)
Using B1=1328000, B2=1426405900, polynomial Dickson(6), sigma=4224044251
Step 1 took 13875ms
Step 2 took 5313ms
********** Factor found in step 2: 22521545757000487584780938305372935523
Found probable prime factor of 38 digits: 22521545757000487584780938305372935523
Probable prime cofactor 225220787774420230975891805254681225718909593400875653913409 has 60 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10151+419

c140

name 名前Sinkiti Sibata
date 日付November 24, 2008 22:41:55 UTC 2008 年 11 月 25 日 (火) 7 時 41 分 55 秒 (日本時間)
composite number 合成数
50644392451201039940486898811919837806947292225271785123798546055054166195530666819430997570993822590013111807604058720118930867542077294989<140>
prime factors 素因数
25159023166929253852356966287189982699044095992221<50>
2012971334982969607587578984544165589319626732300682305366828685278214905844400647139065009<91>
factorization results 素因数分解の結果
Number: 34449_151
N=50644392451201039940486898811919837806947292225271785123798546055054166195530666819430997570993822590013111807604058720118930867542077294989
  ( 140 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=25159023166929253852356966287189982699044095992221 (pp50)
 r2=2012971334982969607587578984544165589319626732300682305366828685278214905844400647139065009 (pp91)
Version: GGNFS-0.77.1-20060513-k8
Total time: 29.07 hours.
Scaled time: 53.88 units (timescale=1.853).
Factorization parameters were as follows:
name: 34449_151
n: 50644392451201039940486898811919837806947292225271785123798546055054166195530666819430997570993822590013111807604058720118930867542077294989
m: 1000000000000000000000000000000
deg: 5
c5: 310
c0: 41
skew: 0.67
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
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: 50/50
Sieved rational special-q in [1200000, 2100001)
Primes: RFBsize:176302, AFBsize:176735, largePrimes:7906736 encountered
Relations: rels:7966289, finalFF:469567
Max relations in full relation-set: 28
Initial matrix: 353104 x 469567 with sparse part having weight 52765137.
Pruned matrix : 314785 x 316614 with weight 32293031.
Total sieving time: 27.06 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.63 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 29.07 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 KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10153+419

c88

name 名前Erik Branger
date 日付November 21, 2008 14:18:34 UTC 2008 年 11 月 21 日 (金) 23 時 18 分 34 秒 (日本時間)
composite number 合成数
2917971789275374742550279961408364217439585732684651363096861229810434025847121781636291<88>
prime factors 素因数
44486831924067687045714216542322079414577<41>
65591809150534983525158372279246902373496543283<47>
factorization results 素因数分解の結果
Fri Nov 21 12:35:16 2008  Msieve v. 1.36
Fri Nov 21 12:35:16 2008  random seeds: 21ecf6b8 72b652fe
Fri Nov 21 12:35:16 2008  factoring 2917971789275374742550279961408364217439585732684651363096861229810434025847121781636291 (88 digits)
Fri Nov 21 12:35:17 2008  searching for 15-digit factors
Fri Nov 21 12:35:18 2008  commencing quadratic sieve (88-digit input)
Fri Nov 21 12:35:19 2008  using multiplier of 19
Fri Nov 21 12:35:19 2008  using 64kb Pentium 4 sieve core
Fri Nov 21 12:35:19 2008  sieve interval: 13 blocks of size 65536
Fri Nov 21 12:35:19 2008  processing polynomials in batches of 8
Fri Nov 21 12:35:19 2008  using a sieve bound of 1517699 (57619 primes)
Fri Nov 21 12:35:19 2008  using large prime bound of 121415920 (26 bits)
Fri Nov 21 12:35:19 2008  using double large prime bound of 356201769813440 (42-49 bits)
Fri Nov 21 12:35:19 2008  using trial factoring cutoff of 49 bits
Fri Nov 21 12:35:19 2008  polynomial 'A' values have 11 factors
Fri Nov 21 13:46:13 2008  58029 relations (16470 full + 41559 combined from 601969 partial), need 57715
Fri Nov 21 13:46:15 2008  begin with 618438 relations
Fri Nov 21 13:46:16 2008  reduce to 137673 relations in 12 passes
Fri Nov 21 13:46:16 2008  attempting to read 137673 relations
Fri Nov 21 13:46:21 2008  recovered 137673 relations
Fri Nov 21 13:46:21 2008  recovered 112399 polynomials
Fri Nov 21 13:46:22 2008  attempting to build 58029 cycles
Fri Nov 21 13:46:22 2008  found 58029 cycles in 5 passes
Fri Nov 21 13:46:22 2008  distribution of cycle lengths:
Fri Nov 21 13:46:22 2008     length 1 : 16470
Fri Nov 21 13:46:22 2008     length 2 : 11704
Fri Nov 21 13:46:22 2008     length 3 : 10218
Fri Nov 21 13:46:22 2008     length 4 : 7559
Fri Nov 21 13:46:22 2008     length 5 : 5181
Fri Nov 21 13:46:22 2008     length 6 : 3198
Fri Nov 21 13:46:22 2008     length 7 : 1770
Fri Nov 21 13:46:22 2008     length 9+: 1929
Fri Nov 21 13:46:22 2008  largest cycle: 19 relations
Fri Nov 21 13:46:22 2008  matrix is 57619 x 58029 (13.8 MB) with weight 3380613 (58.26/col)
Fri Nov 21 13:46:22 2008  sparse part has weight 3380613 (58.26/col)
Fri Nov 21 13:46:23 2008  filtering completed in 3 passes
Fri Nov 21 13:46:23 2008  matrix is 52792 x 52855 (12.6 MB) with weight 3099871 (58.65/col)
Fri Nov 21 13:46:23 2008  sparse part has weight 3099871 (58.65/col)
Fri Nov 21 13:46:23 2008  saving the first 48 matrix rows for later
Fri Nov 21 13:46:23 2008  matrix is 52744 x 52855 (9.0 MB) with weight 2535635 (47.97/col)
Fri Nov 21 13:46:23 2008  sparse part has weight 2054683 (38.87/col)
Fri Nov 21 13:46:23 2008  matrix includes 64 packed rows
Fri Nov 21 13:46:23 2008  using block size 21142 for processor cache size 512 kB
Fri Nov 21 13:46:24 2008  commencing Lanczos iteration
Fri Nov 21 13:46:24 2008  memory use: 8.3 MB
Fri Nov 21 13:46:52 2008  lanczos halted after 836 iterations (dim = 52742)
Fri Nov 21 13:46:53 2008  recovered 16 nontrivial dependencies
Fri Nov 21 13:46:53 2008  prp41 factor: 44486831924067687045714216542322079414577
Fri Nov 21 13:46:53 2008  prp47 factor: 65591809150534983525158372279246902373496543283
Fri Nov 21 13:46:53 2008  elapsed time 01:11:37
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 KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10158+419

c137

name 名前Robert Backstrom
date 日付November 24, 2008 20:58:26 UTC 2008 年 11 月 25 日 (火) 5 時 58 分 26 秒 (日本時間)
composite number 合成数
59303512875660190239903873838592225362043522656415163955070689963128025148740225659345164492560895282613090072407941118087658052686704153<137>
prime factors 素因数
403369120592280214906680606143906456903218042215967<51>
147020458057331909160593920488882803957838848951345662283367806977244326092173137116359<87>
factorization results 素因数分解の結果
Number: n
N=59303512875660190239903873838592225362043522656415163955070689963128025148740225659345164492560895282613090072407941118087658052686704153
  ( 137 digits)
SNFS difficulty: 159 digits.
Divisors found:

Tue Nov 25 07:05:02 2008  prp51 factor: 403369120592280214906680606143906456903218042215967
Tue Nov 25 07:05:03 2008  prp87 factor: 147020458057331909160593920488882803957838848951345662283367806977244326092173137116359
Tue Nov 25 07:05:03 2008  elapsed time 01:23:00 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 32.75 hours.
Scaled time: 67.17 units (timescale=2.051).
Factorization parameters were as follows:
name: KA_3_4_157_9
n: 59303512875660190239903873838592225362043522656415163955070689963128025148740225659345164492560895282613090072407941118087658052686704153
type: snfs
skew: 0.27
deg: 5
c5: 31000
c0: 41
m: 10000000000000000000000000000000
rlim: 4000000
alim: 4000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 1750001)
Primes: RFBsize:283146, AFBsize:283059, largePrimes:14395021 encountered
Relations: rels:12895344, finalFF:596990
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 32.42 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,4000000,4000000,28,28,56,56,2.5,2.5,100000
total time: 32.75 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 KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10159+419

c138

name 名前Robert Backstrom
date 日付November 22, 2008 18:19:23 UTC 2008 年 11 月 23 日 (日) 3 時 19 分 23 秒 (日本時間)
composite number 合成数
112853776361362171890036514539513706755461921707305238431624689696835446173126379474301045848075084708611487263335709392706447626493355579<138>
prime factors 素因数
519200074012305510805012666334819<33>
217360863393650894273483985147045926746949619702827516312957917248727025467082747527790644449593568212041<105>
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 112853776361362171890036514539513706755461921707305238431624689696835446173126379474301045848075084708611487263335709392706447626493355579 (138 digits)
Using B1=1428000, B2=2140044280, polynomial Dickson(6), sigma=3811119449
Step 1 took 15585ms
Step 2 took 7162ms
********** Factor found in step 2: 519200074012305510805012666334819
Found probable prime factor of 33 digits: 519200074012305510805012666334819
Probable prime cofactor 217360863393650894273483985147045926746949619702827516312957917248727025467082747527790644449593568212041 has 105 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10161+419

c144

name 名前Robert Backstrom
date 日付November 24, 2008 13:06:54 UTC 2008 年 11 月 24 日 (月) 22 時 6 分 54 秒 (日本時間)
composite number 合成数
281705984320382834768168838574043320101246180179813501104002009710698781848409531013928771698738236445365657545494019832461744291094443157169473<144>
prime factors 素因数
19271833543064282432963298327790989181455280173613<50>
14617497794949856808550674252675297489036964937095681265244845906085208668384217430630196277221<95>
factorization results 素因数分解の結果
Number: n
N=281705984320382834768168838574043320101246180179813501104002009710698781848409531013928771698738236445365657545494019832461744291094443157169473
  ( 144 digits)
SNFS difficulty: 162 digits.
Divisors found:

Mon Nov 24 23:56:29 2008  prp50 factor: 19271833543064282432963298327790989181455280173613
Mon Nov 24 23:56:29 2008  prp95 factor: 14617497794949856808550674252675297489036964937095681265244845906085208668384217430630196277221
Mon Nov 24 23:56:29 2008  elapsed time 01:55:56 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 30.90 hours.
Scaled time: 56.45 units (timescale=1.827).
Factorization parameters were as follows:
name: KA_3_4_160_9
n: 281705984320382834768168838574043320101246180179813501104002009710698781848409531013928771698738236445365657545494019832461744291094443157169473
type: snfs
skew: 0.67
deg: 5
c5: 310
c0: 41
m: 100000000000000000000000000000000
rlim: 4400000
alim: 4400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 1800001)
Primes: RFBsize:309335, AFBsize:309440, largePrimes:14840002 encountered
Relations: rels:13480228, finalFF:698255
Max relations in full relation-set: 28
Initial matrix: 618842 x 698255 with sparse part having weight 80958662.
Pruned matrix : 558849 x 562007 with weight 56988131.
Total sieving time: 30.47 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4400000,4400000,28,28,56,56,2.5,2.5,100000
total time: 30.90 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 KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10162+419

c133

name 名前Robert Backstrom
date 日付November 26, 2008 14:25:14 UTC 2008 年 11 月 26 日 (水) 23 時 25 分 14 秒 (日本時間)
composite number 合成数
3134976348133017753986237508264591675227397506931118169753747860898160990515607185310712968530556574409882478282528797528962745514979<133>
prime factors 素因数
4497256276942913708784333111919888344610032022987466112890666921<64>
697086435613153702704174629418486140293389147332010155586147216393899<69>
factorization results 素因数分解の結果
Number: n
N=3134976348133017753986237508264591675227397506931118169753747860898160990515607185310712968530556574409882478282528797528962745514979
  ( 133 digits)
SNFS difficulty: 163 digits.
Divisors found:

Thu Nov 27 01:18:58 2008  prp64 factor: 4497256276942913708784333111919888344610032022987466112890666921
Thu Nov 27 01:18:58 2008  prp69 factor: 697086435613153702704174629418486140293389147332010155586147216393899
Thu Nov 27 01:18:58 2008  elapsed time 02:47:55 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 46.31 hours.
Scaled time: 93.82 units (timescale=2.026).
Factorization parameters were as follows:
name: KA_3_4_161_9
n: 3134976348133017753986237508264591675227397506931118169753747860898160990515607185310712968530556574409882478282528797528962745514979
type: snfs
skew: 0.42
deg: 5
c5: 3100
c0: 41
m: 100000000000000000000000000000000
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 2400001)
Primes: RFBsize:315948, AFBsize:316018, largePrimes:15816324 encountered
Relations: rels:14466655, finalFF:677553
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 45.67 hours.
Total relation processing time: 0.63 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,4500000,4500000,28,28,56,56,2.5,2.5,100000
total time: 46.31 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 KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10165+419

c116

name 名前Robert Backstrom
date 日付November 24, 2008 17:51:18 UTC 2008 年 11 月 25 日 (火) 2 時 51 分 18 秒 (日本時間)
composite number 合成数
36993488627961056344488479201846311208466483880832964717932506627895049398002594345347037447623735419557550086941139<116>
prime factors 素因数
52360156332128908550551752115093402369791409<44>
706519827658752527682749389034573409857980191378297593467378048714187971<72>
factorization results 素因数分解の結果
Number: n
N=36993488627961056344488479201846311208466483880832964717932506627895049398002594345347037447623735419557550086941139
  ( 116 digits)
Divisors found:

Tue Nov 25 04:40:41 2008  prp44 factor: 52360156332128908550551752115093402369791409
Tue Nov 25 04:40:41 2008  prp72 factor: 706519827658752527682749389034573409857980191378297593467378048714187971
Tue Nov 25 04:40:41 2008  elapsed time 00:49:14 (Msieve 1.38)

Version: GGNFS-0.77.1-20050930-k8
Total time: 34.13 hours.
Scaled time: 28.63 units (timescale=0.839).
Factorization parameters were as follows:
name: KA_3_4_164_9
n: 36993488627961056344488479201846311208466483880832964717932506627895049398002594345347037447623735419557550086941139
skew: 27554.71
# norm 2.12e+15
c5: 73080
c4: -270741138
c3: -118636966223308
c2: -1515144755494934221
c1: 37855017221866213730472
c0: 462963681614409640635618000
# alpha -5.09
Y1: 2124809634343
Y0: -13831376378547203326429
# Murphy_E 4.86e-10
# M 9599321862410283898123100379616895623818960450150469167051830326877405946979609366726360656345165674977990457946100
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 2020001)
Primes: RFBsize:315948, AFBsize:315804, largePrimes:6353259 encountered
Relations: rels:6186586, finalFF:669899
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 33.85 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 34.13 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10166+419

c163

name 名前Serge Batalov
date 日付November 22, 2008 20:28:39 UTC 2008 年 11 月 23 日 (日) 5 時 28 分 39 秒 (日本時間)
composite number 合成数
6879257927789982912810953553913410114728269311852295674943967334620420300468233362181834320839713290282493398131504782193817544326831325033841510773805561103344207<163>
prime factors 素因数
181349445677364300441878201566985382903693854106708508967491099295051<69>
37933713566617419532751041365089999565596259225341362011623253271472207437090733501918061961357<95>
factorization results 素因数分解の結果
SNFS difficulty: 167 digits.
Divisors found:
 r1=181349445677364300441878201566985382903693854106708508967491099295051 (pp69)
 r2=37933713566617419532751041365089999565596259225341362011623253271472207437090733501918061961357 (pp95)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.953).
Factorization parameters were as follows:
n: 6879257927789982912810953553913410114728269311852295674943967334620420300468233362181834320839713290282493398131504782193817544326831325033841510773805561103344207
m: 1000000000000000000000000000000000
deg: 5
c5: 310
c0: 41
skew: 0.67
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved rational special-q in [2150000, 4750001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 888968 x 889210
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,167,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,53,53,2.5,2.5,200000
total time: 50.00 hours.
software ソフトウェア
Msieve-1.38
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 KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)
351e60--
403e6400 / 2336Serge BatalovNovember 22, 2008 01:49:23 UTC 2008 年 11 月 22 日 (土) 10 時 49 分 23 秒 (日本時間)

31×10167+419

c159

name 名前Robert Backstrom
date 日付November 26, 2008 03:39:59 UTC 2008 年 11 月 26 日 (水) 12 時 39 分 59 秒 (日本時間)
composite number 合成数
131586605714458804155816928144361334942782011803697417116828042223841300323604186069384933706935671232760809125303351106872422993136724453506518546845747243663<159>
prime factors 素因数
82428469360546100817236547386728121355817832071<47>
1596373276554398260694282851868805545175066253459654053153617203305739262457720934111478909609962402182895680953<112>
factorization results 素因数分解の結果
Number: n
N=131586605714458804155816928144361334942782011803697417116828042223841300323604186069384933706935671232760809125303351106872422993136724453506518546845747243663
  ( 159 digits)
SNFS difficulty: 168 digits.
Divisors found:

Wed Nov 26 13:09:28 2008  prp47 factor: 82428469360546100817236547386728121355817832071
Wed Nov 26 13:09:28 2008  prp112 factor: 1596373276554398260694282851868805545175066253459654053153617203305739262457720934111478909609962402182895680953
Wed Nov 26 13:09:28 2008  elapsed time 03:20:59 (Msieve 1.38)

Version: GGNFS-0.77.1-20050930-k8
Total time: 64.94 hours.
Scaled time: 54.35 units (timescale=0.837).
Factorization parameters were as follows:
name: KA_3_4_166_9
n: 131586605714458804155816928144361334942782011803697417116828042223841300323604186069384933706935671232760809125303351106872422993136724453506518546845747243663
type: snfs
skew: 0.42
deg: 5
c5: 3100
c0: 41
m: 1000000000000000000000000000000000
rlim: 5500000
alim: 5500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 3250001)
Primes: RFBsize:380800, AFBsize:380784, largePrimes:16898141 encountered
Relations: rels:15611597, finalFF:778444
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 64.09 hours.
Total relation processing time: 0.85 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,5500000,5500000,28,28,56,56,2.5,2.5,100000
total time: 64.94 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10168+419

c125

name 名前Andreas Tete
date 日付March 9, 2009 14:20:10 UTC 2009 年 3 月 9 日 (月) 23 時 20 分 10 秒 (日本時間)
composite number 合成数
37341749897142121501044346885341085486989665803866127120929436699947381633311322080195902338164347592550563750975260551289243<125>
prime factors 素因数
3199531318649953244341022926800550296567933036062498357291<58>
11671006212528191652002268221699814254356844004459282877277697877073<68>
factorization results 素因数分解の結果
Mon Mar 09 07:15:26 2009  
Mon Mar 09 07:15:26 2009  
Mon Mar 09 07:15:26 2009  Msieve v. 1.40
Mon Mar 09 07:15:26 2009  random seeds: ade51018 e14bc1bb
Mon Mar 09 07:15:26 2009  factoring 37341749897142121501044346885341085486989665803866127120929436699947381633311322080195902338164347592550563750975260551289243 (125 digits)
Mon Mar 09 07:15:27 2009  searching for 15-digit factors
Mon Mar 09 07:15:29 2009  commencing number field sieve (125-digit input)
Mon Mar 09 07:15:29 2009  R0: -1088114432624936520075342
Mon Mar 09 07:15:29 2009  R1:  34737124470091
Mon Mar 09 07:15:29 2009  A0: -71496577573595625906473163785
Mon Mar 09 07:15:29 2009  A1:  35064141251845164949397623
Mon Mar 09 07:15:29 2009  A2: -776953222852106819385
Mon Mar 09 07:15:29 2009  A3: -2160258613523839
Mon Mar 09 07:15:29 2009  A4:  18360593834
Mon Mar 09 07:15:29 2009  A5:  24480
Mon Mar 09 07:15:29 2009  skew 181474.42, size 5.173726e-012, alpha -6.170813, combined = 1.493559e-010
Mon Mar 09 07:15:29 2009  
Mon Mar 09 07:15:29 2009  commencing relation filtering
Mon Mar 09 07:15:29 2009  commencing duplicate removal, pass 1
Mon Mar 09 07:17:02 2009  found 1491858 hash collisions in 9245826 relations
Mon Mar 09 07:17:25 2009  added 58666 free relations
Mon Mar 09 07:17:25 2009  commencing duplicate removal, pass 2
Mon Mar 09 07:17:40 2009  found 1497815 duplicates and 7806676 unique relations
Mon Mar 09 07:17:40 2009  memory use: 65.3 MB
Mon Mar 09 07:17:40 2009  reading rational ideals above 7405568
Mon Mar 09 07:17:40 2009  reading algebraic ideals above 7405568
Mon Mar 09 07:17:40 2009  commencing singleton removal, pass 1
Mon Mar 09 07:19:02 2009  relations with 0 large ideals: 263246
Mon Mar 09 07:19:02 2009  relations with 1 large ideals: 1611965
Mon Mar 09 07:19:02 2009  relations with 2 large ideals: 3137880
Mon Mar 09 07:19:02 2009  relations with 3 large ideals: 2223928
Mon Mar 09 07:19:02 2009  relations with 4 large ideals: 502682
Mon Mar 09 07:19:02 2009  relations with 5 large ideals: 12488
Mon Mar 09 07:19:02 2009  relations with 6 large ideals: 54487
Mon Mar 09 07:19:02 2009  relations with 7+ large ideals: 0
Mon Mar 09 07:19:02 2009  7806676 relations and about 7357141 large ideals
Mon Mar 09 07:19:02 2009  commencing singleton removal, pass 2
Mon Mar 09 07:20:24 2009  found 3492596 singletons
Mon Mar 09 07:20:24 2009  current dataset: 4314080 relations and about 3200149 large ideals
Mon Mar 09 07:20:24 2009  commencing singleton removal, pass 3
Mon Mar 09 07:21:13 2009  found 697808 singletons
Mon Mar 09 07:21:13 2009  current dataset: 3616272 relations and about 2461138 large ideals
Mon Mar 09 07:21:13 2009  commencing singleton removal, pass 4
Mon Mar 09 07:21:56 2009  found 183238 singletons
Mon Mar 09 07:21:56 2009  current dataset: 3433034 relations and about 2274326 large ideals
Mon Mar 09 07:21:56 2009  commencing singleton removal, final pass
Mon Mar 09 07:22:39 2009  memory use: 50.7 MB
Mon Mar 09 07:22:39 2009  commencing in-memory singleton removal
Mon Mar 09 07:22:39 2009  begin with 3433034 relations and 2394020 unique ideals
Mon Mar 09 07:22:41 2009  reduce to 3078894 relations and 2033836 ideals in 11 passes
Mon Mar 09 07:22:41 2009  max relations containing the same ideal: 26
Mon Mar 09 07:22:42 2009  reading rational ideals above 720000
Mon Mar 09 07:22:42 2009  reading algebraic ideals above 720000
Mon Mar 09 07:22:42 2009  commencing singleton removal, final pass
Mon Mar 09 07:23:28 2009  keeping 2804566 ideals with weight <= 20, new excess is 247608
Mon Mar 09 07:23:32 2009  memory use: 91.6 MB
Mon Mar 09 07:23:32 2009  commencing in-memory singleton removal
Mon Mar 09 07:23:33 2009  begin with 3082211 relations and 2804566 unique ideals
Mon Mar 09 07:23:37 2009  reduce to 3031265 relations and 2737239 ideals in 10 passes
Mon Mar 09 07:23:37 2009  max relations containing the same ideal: 20
Mon Mar 09 07:23:40 2009  relations with 0 large ideals: 4169
Mon Mar 09 07:23:40 2009  relations with 1 large ideals: 43318
Mon Mar 09 07:23:40 2009  relations with 2 large ideals: 218635
Mon Mar 09 07:23:40 2009  relations with 3 large ideals: 583081
Mon Mar 09 07:23:40 2009  relations with 4 large ideals: 887820
Mon Mar 09 07:23:40 2009  relations with 5 large ideals: 779594
Mon Mar 09 07:23:40 2009  relations with 6 large ideals: 389468
Mon Mar 09 07:23:40 2009  relations with 7+ large ideals: 125180
Mon Mar 09 07:23:40 2009  commencing 2-way merge
Mon Mar 09 07:23:43 2009  reduce to 1807463 relation sets and 1513482 unique ideals
Mon Mar 09 07:23:43 2009  ignored 45 oversize relation sets
Mon Mar 09 07:23:43 2009  commencing full merge
Mon Mar 09 07:24:18 2009  memory use: 140.6 MB
Mon Mar 09 07:24:18 2009  found 877039 cycles, need 841682
Mon Mar 09 07:24:18 2009  weight of 841682 cycles is about 59272709 (70.42/cycle)
Mon Mar 09 07:24:18 2009  distribution of cycle lengths:
Mon Mar 09 07:24:18 2009  1 relations: 98931
Mon Mar 09 07:24:18 2009  2 relations: 100305
Mon Mar 09 07:24:18 2009  3 relations: 99032
Mon Mar 09 07:24:18 2009  4 relations: 88140
Mon Mar 09 07:24:18 2009  5 relations: 78635
Mon Mar 09 07:24:18 2009  6 relations: 67756
Mon Mar 09 07:24:18 2009  7 relations: 57401
Mon Mar 09 07:24:18 2009  8 relations: 47966
Mon Mar 09 07:24:18 2009  9 relations: 40843
Mon Mar 09 07:24:18 2009  10+ relations: 162673
Mon Mar 09 07:24:18 2009  heaviest cycle: 20 relations
Mon Mar 09 07:24:18 2009  commencing cycle optimization
Mon Mar 09 07:24:20 2009  start with 4988347 relations
Mon Mar 09 07:24:34 2009  pruned 149444 relations
Mon Mar 09 07:24:34 2009  memory use: 129.3 MB
Mon Mar 09 07:24:34 2009  distribution of cycle lengths:
Mon Mar 09 07:24:34 2009  1 relations: 98931
Mon Mar 09 07:24:34 2009  2 relations: 103120
Mon Mar 09 07:24:34 2009  3 relations: 103173
Mon Mar 09 07:24:34 2009  4 relations: 90861
Mon Mar 09 07:24:34 2009  5 relations: 80983
Mon Mar 09 07:24:34 2009  6 relations: 68708
Mon Mar 09 07:24:34 2009  7 relations: 57891
Mon Mar 09 07:24:34 2009  8 relations: 47807
Mon Mar 09 07:24:34 2009  9 relations: 40685
Mon Mar 09 07:24:34 2009  10+ relations: 149523
Mon Mar 09 07:24:34 2009  heaviest cycle: 20 relations
Mon Mar 09 07:24:35 2009  RelProcTime: 534
Mon Mar 09 07:24:35 2009  
Mon Mar 09 07:24:35 2009  commencing linear algebra
Mon Mar 09 07:24:35 2009  read 841682 cycles
Mon Mar 09 07:24:37 2009  cycles contain 2673765 unique relations
Mon Mar 09 07:25:09 2009  read 2673765 relations
Mon Mar 09 07:25:14 2009  using 20 quadratic characters above 134216838
Mon Mar 09 07:25:30 2009  building initial matrix
Mon Mar 09 07:26:13 2009  memory use: 307.6 MB
Mon Mar 09 07:26:14 2009  read 841682 cycles
Mon Mar 09 07:26:15 2009  matrix is 841349 x 841682 (241.5 MB) with weight 80038905 (95.09/col)
Mon Mar 09 07:26:15 2009  sparse part has weight 56569614 (67.21/col)
Mon Mar 09 07:26:32 2009  filtering completed in 3 passes
Mon Mar 09 07:26:32 2009  matrix is 837333 x 837533 (240.7 MB) with weight 79742206 (95.21/col)
Mon Mar 09 07:26:32 2009  sparse part has weight 56405744 (67.35/col)
Mon Mar 09 07:26:35 2009  read 837533 cycles
Mon Mar 09 07:26:36 2009  matrix is 837333 x 837533 (240.7 MB) with weight 79742206 (95.21/col)
Mon Mar 09 07:26:36 2009  sparse part has weight 56405744 (67.35/col)
Mon Mar 09 07:26:36 2009  saving the first 48 matrix rows for later
Mon Mar 09 07:26:37 2009  matrix is 837285 x 837533 (230.5 MB) with weight 63294546 (75.57/col)
Mon Mar 09 07:26:37 2009  sparse part has weight 55403246 (66.15/col)
Mon Mar 09 07:26:37 2009  matrix includes 64 packed rows
Mon Mar 09 07:26:37 2009  using block size 65536 for processor cache size 3072 kB
Mon Mar 09 07:26:43 2009  commencing Lanczos iteration
Mon Mar 09 07:26:43 2009  memory use: 229.4 MB
Mon Mar 09 09:11:21 2009  lanczos halted after 13243 iterations (dim = 837285)
Mon Mar 09 09:11:23 2009  recovered 30 nontrivial dependencies
Mon Mar 09 09:11:23 2009  BLanczosTime: 6361
Mon Mar 09 09:11:23 2009  
Mon Mar 09 09:11:23 2009  commencing square root phase
Mon Mar 09 09:11:23 2009  reading relations for dependency 1
Mon Mar 09 09:11:24 2009  read 418665 cycles
Mon Mar 09 09:11:25 2009  cycles contain 1638314 unique relations
Mon Mar 09 09:11:47 2009  read 1638314 relations
Mon Mar 09 09:11:57 2009  multiplying 1333398 relations
Mon Mar 09 09:15:37 2009  multiply complete, coefficients have about 61.72 million bits
Mon Mar 09 09:15:40 2009  initial square root is modulo 726184289
Mon Mar 09 09:22:06 2009  sqrtTime: 613
Mon Mar 09 09:22:06 2009  prp58 factor: 3199531318649953244341022926800550296567933036062498357291
Mon Mar 09 09:22:06 2009  prp68 factor: 11671006212528191652002268221699814254356844004459282877277697877073
#Mon Mar 09 09:22:06 2009  elapsed time 02:06:40

Total time: 119.2 hours.
software ソフトウェア
Polynomial search with Msieve 1.40beta2
Sieving done with GNFS
Final Factorization with Msieve 1.40beta2
execution environment 実行環境
Intel Core2 Duo T8100
Windows Vista Home Premium 32bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)
351e6904Andreas TeteMarch 4, 2009 14:01:23 UTC 2009 年 3 月 4 日 (水) 23 時 1 分 23 秒 (日本時間)

31×10169+419

c163

name 名前Serge Batalov
date 日付December 8, 2008 09:02:41 UTC 2008 年 12 月 8 日 (月) 18 時 2 分 41 秒 (日本時間)
composite number 合成数
3952538982903853634982438423044556882703394882907881399707274962926140599793200610389320117266986574971842303537679216245690027179315562794566952115206974257585359<163>
prime factors 素因数
272869429905872532325536091824056889627588294853<48>
1797604110257900740437824679232652384721954009407117<52>
8057999312340717756148290734205967665222488391182536291058446159<64>
factorization results 素因数分解の結果
SNFS difficulty: 171 digits.
Divisors found:
 r1=272869429905872532325536091824056889627588294853 (pp48)
 r2=1797604110257900740437824679232652384721954009407117 (pp52)
 r3=8057999312340717756148290734205967665222488391182536291058446159 (pp64)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.732).
Factorization parameters were as follows:
n: 3952538982903853634982438423044556882703394882907881399707274962926140599793200610389320117266986574971842303537679216245690027179315562794566952115206974257585359
m: 10000000000000000000000000000000000
deg: 5
c5: 31
c0: 410
skew: 1.68
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 5800001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 977723 x 977971
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,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 49.00 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 KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Serge BatalovDecember 7, 2008 08:04:47 UTC 2008 年 12 月 7 日 (日) 17 時 4 分 47 秒 (日本時間)

31×10170+419

c133

name 名前Markus Tervooren
date 日付September 22, 2009 00:26:25 UTC 2009 年 9 月 22 日 (火) 9 時 26 分 25 秒 (日本時間)
composite number 合成数
8098095464939533472257174858096288112060750390776624907535616984326680395854794231308671432066690891950563756090331388949682969869957<133>
prime factors 素因数
27780788152852831461500887890696440817757461017360421126755061577<65>
291499845878488279711112644141316213438152182705016277066973021038941<69>
factorization results 素因数分解の結果
N=8098095464939533472257174858096288112060750390776624907535616984326680395854794231308671432066690891950563756090331388949682969869957
  ( 133 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=27780788152852831461500887890696440817757461017360421126755061577 (pp65)
 r2=291499845878488279711112644141316213438152182705016277066973021038941 (pp69)
Version: Msieve-1.39
Total time: 38.71 hours.
Scaled time: 82.30 units (timescale=2.126).
Factorization parameters were as follows:
n: 8098095464939533472257174858096288112060750390776624907535616984326680395854794231308671432066690891950563756090331388949682969869957
m: 10000000000000000000000000000000000
deg: 5
c5: 31
c0: 41
skew: 1.06
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4

Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 5900001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 810989 x 811214
Total sieving time: 37.62 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.85 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,26,26,52,52,2.4,2.4,200000
total time: 38.71 hours.
 --------- CPU info (if available) ----------
[    0.148007] CPU0: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.240015] CPU1: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.335125] CPU2: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.432094] CPU3: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.004000] Memory: 8197992k/10485760k available (2226k kernel code, 189844k reserved, 1082k data, 392k init)
[    0.083917] Calibrating delay using timer specific routine.. 5503.93 BogoMIPS (lpj=11007873)
[    0.160010] Calibrating delay using timer specific routine.. 5499.97 BogoMIPS (lpj=10999957)
[    0.252015] Calibrating delay using timer specific routine.. 5500.01 BogoMIPS (lpj=11000021)
[    0.351657] Calibrating delay using timer specific routine.. 5499.99 BogoMIPS (lpj=10999983)
[    0.436823] Total of 4 processors activated (22003.91 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiJuly 30, 2009 12:24:58 UTC 2009 年 7 月 30 日 (木) 21 時 24 分 58 秒 (日本時間)

31×10173+419

c149

name 名前Serge Batalov
date 日付November 23, 2008 19:15:43 UTC 2008 年 11 月 24 日 (月) 4 時 15 分 43 秒 (日本時間)
composite number 合成数
70936446393015498442400521887967563546480583685417594196480705770205041604499427574956846761043420276287572649465534605880185595256304741208631058571<149>
prime factors 素因数
83377522136045683392304271789693<32>
850786214026242067189873714302933069285863191449712790626418410523447559037456956822189265479193369646179402708251047<117>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=526494384
Step 1 took 20116ms
Step 2 took 14285ms
********** Factor found in step 2: 83377522136045683392304271789693
Found probable prime factor of 32 digits: 83377522136045683392304271789693
Probable prime cofactor 850786214026242067189873714302933069285863191449712790626418410523447559037456956822189265479193369646179402708251047 has 117 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10174+419

c144

name 名前Erik Branger
date 日付June 2, 2012 09:24:45 UTC 2012 年 6 月 2 日 (土) 18 時 24 分 45 秒 (日本時間)
composite number 合成数
143248260665297745770835555150723652318286616694345067110808635011983660921250192399921889761663261909389310452195197835853270598916035403409947<144>
prime factors 素因数
2683818781845479402791126343341053310776019576428248850521<58>
53374788802541903521301846419128885019976167929603336608156766823526822339165850300307<86>
factorization results 素因数分解の結果
Number: 34449_174
N = 143248260665297745770835555150723652318286616694345067110808635011983660921250192399921889761663261909389310452195197835853270598916035403409947 (144 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=2683818781845479402791126343341053310776019576428248850521 (pp58)
r2=53374788802541903521301846419128885019976167929603336608156766823526822339165850300307 (pp86)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 76.15 hours.
Factorization parameters were as follows:
n: 143248260665297745770835555150723652318286616694345067110808635011983660921250192399921889761663261909389310452195197835853270598916035403409947
m: 100000000000000000000000000000000000
deg: 5
c5: 31
c0: 410
skew: 1.68
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [3000000, 7600000)
Relations: 16406837
Relations in full relation-set: 2146378 relations
Pruned matrix : 1264170 x 1264403
Polynomial selection time: 0.00 hours.
Total sieving time: 74.71 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 1.24 hours.
time per square root: 0.14 hours.
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 KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)
351e6825Ignacio SantosMay 1, 2010 14:01:49 UTC 2010 年 5 月 1 日 (土) 23 時 1 分 49 秒 (日本時間)
403e62111Wataru SakaiMay 24, 2010 00:54:11 UTC 2010 年 5 月 24 日 (月) 9 時 54 分 11 秒 (日本時間)

31×10175+419

c150

name 名前Warut Roonguthai
date 日付December 18, 2011 15:07:07 UTC 2011 年 12 月 19 日 (月) 0 時 7 分 7 秒 (日本時間)
composite number 合成数
220877273672292388238849339522204858451558991266066774275537327309848241940059133469960623984588274089820710630688385227436674262110953197527716119189<150>
prime factors 素因数
2525078804339399038910785290268964508138287184911909<52>
87473417975197574961635087385151660370275400575288236069401845420463096596013907130218892874239921<98>
factorization results 素因数分解の結果
N = 220877273672292388238849339522204858451558991266066774275537327309848241940059133469960623984588274089820710630688385227436674262110953197527716119189 (150 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=2525078804339399038910785290268964508138287184911909 (pp52)
r2=87473417975197574961635087385151660370275400575288236069401845420463096596013907130218892874239921 (pp98)
Version: Msieve v. 1.48
Total time: 31.87 hours.
Factorization parameters were as follows:
name: (31*10^175+41)/9
n: 220877273672292388238849339522204858451558991266066774275537327309848241940059133469960623984588274089820710630688385227436674262110953197527716119189
Y0: 100000000000000000000000000000000000
Y1: -1
c0: 41
c1: 0
c2: 0
c3: 0
c4: 0
c5: 31
skew: 1.06
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20447804
Relations: 2250516 relations
Pruned matrix : 1291028 x 1291253
Polynomial selection time: 0.00 hours.
Total sieving time: 29.40 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.01 hours.
time per square root: 0.34 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 31.87 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiSeptember 12, 2010 07:05:21 UTC 2010 年 9 月 12 日 (日) 16 時 5 分 21 秒 (日本時間)
4511e64000Wataru SakaiSeptember 2, 2011 09:08:21 UTC 2011 年 9 月 2 日 (金) 18 時 8 分 21 秒 (日本時間)
5043e60--
5511e72735 / 17501yoyo@homeJanuary 1, 2012 04:45:23 UTC 2012 年 1 月 1 日 (日) 13 時 45 分 23 秒 (日本時間)

31×10177+419

c140

name 名前Dmitry Domanov
date 日付May 27, 2011 22:03:27 UTC 2011 年 5 月 28 日 (土) 7 時 3 分 27 秒 (日本時間)
composite number 合成数
12823260291786447707577780137390022719301372210406347535171819833689950787799571998785046678666192577167926459499572623141679787153041699773<140>
prime factors 素因数
20790864957383598698188893722134957<35>
83052714839744024928413618979922861<35>
7426292776400899928883106692061079023416875286644208791734399307597749<70>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2861087847
Step 1 took 48869ms
Step 2 took 19876ms
********** Factor found in step 2: 83052714839744024928413618979922861
Found probable prime factor of 35 digits: 83052714839744024928413618979922861
Composite cofactor 154399050248144423156076545496211040238776413227077038064156954869795884998863867030683263014787247411793 has 105 digits


N=154399050248144423156076545496211040238776413227077038064156954869795884998863867030683263014787247411793
  ( 105 digits)
Divisors found:
 r1=20790864957383598698188893722134957 (pp35)
 r2=7426292776400899928883106692061079023416875286644208791734399307597749 (pp70)
Version: Msieve v. 1.48
Total time: 1.10 hours.
Scaled time: 1.54 units (timescale=1.394).
Factorization parameters were as follows:
name: 105
n: 154399050248144423156076545496211040238776413227077038064156954869795884998863867030683263014787247411793
skew: 13625.39
# norm 3.40e+14
c5: 58200
c4: -1084191560
c3: -32404529266416
c2: 108834618820034409
c1: 2647314173304531732670
c0: -4466854017233589127966743
# alpha -6.48
Y1: 26826820889
Y0: -76691087105909312840
# Murphy_E 2.11e-09
# M 48884145338323242754738541335454026038940828815545263369101982562708147276703956304970864572945332948927
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2000001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 299117 x 299344
Polynomial selection time: 0.74 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 1.10 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 27, 2011 12:30:58 UTC 2011 年 5 月 27 日 (金) 21 時 30 分 58 秒 (日本時間)

31×10181+419

c156

name 名前Dmitry Domanov
date 日付July 2, 2013 05:43:23 UTC 2013 年 7 月 2 日 (火) 14 時 43 分 23 秒 (日本時間)
composite number 合成数
139505265005790771367800772623084751840980281336761296042807496948144763718876353856028903482315563550028611323806233819043100360505202804281314726492492519<156>
prime factors 素因数
549083217189582107566574227342855031112028190186207609<54>
254069439091276671886730021293435673890582550854537643667490112739717523069822696535655203809985328991<102>
factorization results 素因数分解の結果
N=139505265005790771367800772623084751840980281336761296042807496948144763718876353856028903482315563550028611323806233819043100360505202804281314726492492519
  ( 156 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=549083217189582107566574227342855031112028190186207609 (pp54)
 r2=254069439091276671886730021293435673890582550854537643667490112739717523069822696535655203809985328991 (pp102)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 146.20 hours.
Scaled time: 280.99 units (timescale=1.922).
Factorization parameters were as follows:
n: 139505265005790771367800772623084751840980281336761296042807496948144763718876353856028903482315563550028611323806233819043100360505202804281314726492492519
m: 1000000000000000000000000000000000000
deg: 5
c5: 310
c0: 41
skew: 0.67
# Murphy_E = 6.905e-11
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3850000, 11450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1633322 x 1633549
Total sieving time: 143.11 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.58 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7700000,7700000,28,28,53,53,2.5,2.5,100000
total time: 146.20 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 KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 27, 2011 13:47:31 UTC 2011 年 5 月 27 日 (金) 22 時 47 分 31 秒 (日本時間)

31×10182+419

c164

name 名前Dmitry Domanov
date 日付July 2, 2013 05:42:54 UTC 2013 年 7 月 2 日 (火) 14 時 42 分 54 秒 (日本時間)
composite number 合成数
59980809371725073729645579594348218498997864477453252003677068498771891381373469160742316523806532571752050788567289893956016340496835273812822006567613724007365927<164>
prime factors 素因数
28651110393814389638848631175190990510021127344799986322961504718849018183<74>
2093489869930995287360875741145824656038783064288715892388712500060725777598486924658171169<91>
factorization results 素因数分解の結果
N=59980809371725073729645579594348218498997864477453252003677068498771891381373469160742316523806532571752050788567289893956016340496835273812822006567613724007365927
  ( 164 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=28651110393814389638848631175190990510021127344799986322961504718849018183 (pp74)
 r2=2093489869930995287360875741145824656038783064288715892388712500060725777598486924658171169 (pp91)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 205.42 hours.
Scaled time: 390.10 units (timescale=1.899).
Factorization parameters were as follows:
n: 59980809371725073729645579594348218498997864477453252003677068498771891381373469160742316523806532571752050788567289893956016340496835273812822006567613724007365927
m: 1000000000000000000000000000000000000
deg: 5
c5: 3100
c0: 41
skew: 0.42
# Murphy_E = 5.203e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4000000, 14800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1866925 x 1867152
Total sieving time: 201.61 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.46 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time: 205.42 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 KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 27, 2011 13:47:44 UTC 2011 年 5 月 27 日 (金) 22 時 47 分 44 秒 (日本時間)

31×10183+419

c169

name 名前Dmitry Domanov
date 日付August 12, 2013 07:38:07 UTC 2013 年 8 月 12 日 (月) 16 時 38 分 7 秒 (日本時間)
composite number 合成数
6046252556576146789620003108751950554601394745728041671448778060109290926054190101824342427112482422479917197635500890256440787860982164827708487237868663065740694782237<169>
prime factors 素因数
11117444427635542234140379282797340064657349788888222645642370193<65>
543852734855726516281189894184945937517931193187829661698197984556381385508282322303436711046371538178509<105>
factorization results 素因数分解の結果
N=6046252556576146789620003108751950554601394745728041671448778060109290926054190101824342427112482422479917197635500890256440787860982164827708487237868663065740694782237
  ( 169 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=11117444427635542234140379282797340064657349788888222645642370193 (pp65)
 r2=543852734855726516281189894184945937517931193187829661698197984556381385508282322303436711046371538178509 (pp105)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 217.74 hours.
Scaled time: 418.94 units (timescale=1.924).
Factorization parameters were as follows:
n: 6046252556576146789620003108751950554601394745728041671448778060109290926054190101824342427112482422479917197635500890256440787860982164827708487237868663065740694782237
m: 1000000000000000000000000000000000000
deg: 5
c5: 31000
c0: 41
skew: 0.27
# Murphy_E = 4.458e-11
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4150000, 15350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1992189 x 1992418
Total sieving time: 212.98 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 3.81 hours.
Time per square root: 0.71 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000
total time: 217.74 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 27, 2011 13:47:52 UTC 2011 年 5 月 27 日 (金) 22 時 47 分 52 秒 (日本時間)

31×10185+419

c180

name 名前Robert Backstrom
date 日付December 16, 2008 16:24:38 UTC 2008 年 12 月 17 日 (水) 1 時 24 分 38 秒 (日本時間)
composite number 合成数
260691746389986947752917035524464280563521370290004430918747512391057129418903801297723513529355025914021002840783188645209381303642057113525116682682390247303122860067650349129319<180>
prime factors 素因数
11462491287896624764009877866815918899950651066846725626897<59>
22743026785569236152077669009125297268693301386451793502974838936091495987844715921550687164968936573229303616204234222327<122>
factorization results 素因数分解の結果
Number: n
N=260691746389986947752917035524464280563521370290004430918747512391057129418903801297723513529355025914021002840783188645209381303642057113525116682682390247303122860067650349129319
  ( 180 digits)
SNFS difficulty: 186 digits.
Divisors found:

Wed Dec 17 02:46:14 2008  prp59 factor: 11462491287896624764009877866815918899950651066846725626897
Wed Dec 17 02:46:14 2008  prp122 factor: 22743026785569236152077669009125297268693301386451793502974838936091495987844715921550687164968936573229303616204234222327
Wed Dec 17 02:46:14 2008  elapsed time 03:13:45 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20050930-k8
Total time: 58.50 hours.
Scaled time: 117.71 units (timescale=2.012).
Factorization parameters were as follows:
name: KA_3_4_184_9
n: 260691746389986947752917035524464280563521370290004430918747512391057129418903801297723513529355025914021002840783188645209381303642057113525116682682390247303122860067650349129319
type: snfs
skew: 1.06
deg: 5
c5: 31
c0: 41
m: 10000000000000000000000000000000000000
rlim: 8500000
alim: 8500000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 4100001)
Primes: RFBsize:571119, AFBsize:571584, largePrimes:29344877 encountered
Relations: rels:26217521, finalFF:1026972
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5676222 hash collisions in 31554904 relations
Msieve: matrix is 1493389 x 1493637 (408.6 MB)

Total sieving time: 57.58 hours.
Total relation processing time: 0.93 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8500000,8500000,29,29,58,58,2.5,2.5,100000
total time: 58.50 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.. 5660.98 BogoMIPS (lpj=2830490)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462)
Total of 4 processors activated (22643.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10187+419

c159

name 名前Jo Yeong Uk
date 日付March 18, 2017 05:08:39 UTC 2017 年 3 月 18 日 (土) 14 時 8 分 39 秒 (日本時間)
composite number 合成数
552577938086141588847402406133635239481254265100365656951933381012974726363751953397466862542135793956938244951788848604771534125344520038361344965580289490533<159>
prime factors 素因数
384702811037141246076056556429642796811636927<45>
1436376138236205373709618340766971977187783312304342054685339371507917070165040113010246671187885064919955982357979<115>
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 552577938086141588847402406133635239481254265100365656951933381012974726363751953397466862542135793956938244951788848604771534125344520038361344965580289490533 (159 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=348145220
Step 1 took 29655ms
Step 2 took 9726ms
********** Factor found in step 2: 384702811037141246076056556429642796811636927
Found probable prime factor of 45 digits: 384702811037141246076056556429642796811636927
Probable prime cofactor 1436376138236205373709618340766971977187783312304342054685339371507917070165040113010246671187885064919955982357979 has 115 digits
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 KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovMay 27, 2011 13:48:02 UTC 2011 年 5 月 27 日 (金) 22 時 48 分 2 秒 (日本時間)
1500Dmitry DomanovAugust 16, 2013 10:56:22 UTC 2013 年 8 月 16 日 (金) 19 時 56 分 22 秒 (日本時間)
4511e6400 / 4081Dmitry DomanovAugust 16, 2013 10:56:22 UTC 2013 年 8 月 16 日 (金) 19 時 56 分 22 秒 (日本時間)

31×10188+419

c146

name 名前Jason Parker-Burlingham
date 日付July 26, 2018 04:16:31 UTC 2018 年 7 月 26 日 (木) 13 時 16 分 31 秒 (日本時間)
composite number 合成数
55681960800388090007035120171305582830639026287535685497980893194113131293097083539606371851446630229471574594723772539985359164488616560544692097<146>
prime factors 素因数
45681436386982499972723591610773429546898445500256970526983032687<65>
1218918781990300228055910691129000017396851750527575044762546371796093413999292431<82>
factorization results 素因数分解の結果
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.81/0.538322
Info:Generate Free Relations: Total cpu/real time for freerel: 78.19/10.0877
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25308085
Info:Lattice Sieving: Average J: 3796.73 for 1666297 special-q, max bucket fill -bkmult 1.0,1s:1.352010
Info:Lattice Sieving: Total time: 318070s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 84.75/166.536
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 166.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 462.44/188.706
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 170.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 370.43/111.506
Info:Filtering - Merging: Total cpu/real time for merge: 685.19/571.099
Info:Filtering - Merging: Total cpu/real time for replay: 54.31/43.8702
Info:Linear Algebra: Total cpu/real time for bwc: 65759.1/6162.49
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 3478.89, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (51000 iterations)
Info:Linear Algebra: Lingen CPU time 6627.14, WCT time 546.68
Info:Linear Algebra: Mksol: WCT time 2003.06, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (26000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 56.04/15.4122
Info:Square Root: Total cpu/real time for sqrt: 1284.83/203.107
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.20624e+06/6393.32
1218918781990300228055910691129000017396851750527575044762546371796093413999292431 45681436386982499972723591610773429546898445500256970526983032687
software ソフトウェア
CADO-NFS
execution environment 実行環境
6 * AMD Ryzen 7 1700X Eight-Core with 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovMay 27, 2011 13:49:17 UTC 2011 年 5 月 27 日 (金) 22 時 49 分 17 秒 (日本時間)
1500Dmitry DomanovAugust 16, 2013 10:56:34 UTC 2013 年 8 月 16 日 (金) 19 時 56 分 34 秒 (日本時間)
4511e6400 / 4081Dmitry DomanovAugust 16, 2013 10:56:34 UTC 2013 年 8 月 16 日 (金) 19 時 56 分 34 秒 (日本時間)

31×10189+419

c185

name 名前matsui
date 日付December 12, 2008 02:59:21 UTC 2008 年 12 月 12 日 (金) 11 時 59 分 21 秒 (日本時間)
composite number 合成数
67126156031501655417622131710179573294183626847863980754281457806880214457241721287869437461158857296288356643432355240279158194696167529562575652260527438357617844297633045123934372273<185>
prime factors 素因数
235132531583386114575877377394239306961<39>
285482215410488202454571268720246728545289583107834402404220895987309744040548884129366032393397755755971466525084701732853813236763453026420960993<147>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]

67126156031501655417622131710179573294183626847863980754281457806880214457241721287869437461158857296288356643432355240279158194696167529562575652260527438357617844297633045123934372273
=
235132531583386114575877377394239306961* 285482215410488202454571268720246728545289583107834402404220895987309744040548884129366032393397755755971466525084701732853813236763453026420960993

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10190+419

c178

name 名前Eric Jeancolas
date 日付November 15, 2020 10:48:22 UTC 2020 年 11 月 15 日 (日) 19 時 48 分 22 秒 (日本時間)
composite number 合成数
3979105249945791794355867335393845887776678126534992098425797598387548485645436715960795404625764104647617528470593131599249499529600402028169196310539367911316604791225908254303<178>
prime factors 素因数
3678996934201092232196098788832033625431905477624075410630807459987<67>
1081573407402110051222303211753486379427782475190276617105523076381830350623015670820029531995510513760201729669<112>
factorization results 素因数分解の結果
3979105249945791794355867335393845887776678126534992098425797598387548485645436715960795404625764104647617528470593131599249499529600402028169196310539367911316604791225908254303=3678996934201092232196098788832033625431905477624075410630807459987*1081573407402110051222303211753486379427782475190276617105523076381830350623015670820029531995510513760201729669

cado polynomial
n: 3979105249945791794355867335393845887776678126534992098425797598387548485645436715960795404625764104647617528470593131599249499529600402028169196310539367911316604791225908254303
skew: 1.06
type: snfs
c0: 41
c5: 31
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 31*x^5+41
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10900000
tasks.lim1 = 10900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1081573407402110051222303211753486379427782475190276617105523076381830350623015670820029531995510513760201729669 3678996934201092232196098788832033625431905477624075410630807459987
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.85/2.07445
Info:Generate Free Relations: Total cpu/real time for freerel: 98.59/25.4546
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25635727
Info:Lattice Sieving: Average J: 1893.84 for 2209976 special-q, max bucket fill -bkmult 1.0,1s:1.080320
Info:Lattice Sieving: Total time: 525562s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.51/107.048
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 106.49999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 420.84/392.27
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 338.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 337.55/347.575
Info:Filtering - Merging: Merged matrix has 2044278 rows and total weight 351182634 (171.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 296.18/85.1454
Info:Filtering - Merging: Total cpu/real time for replay: 78.54/67.4429
Info:Linear Algebra: Total cpu/real time for bwc: 71731.3/18454.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 11784.65, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (64000 iterations)
Info:Linear Algebra: Lingen CPU time 426.77, WCT time 123.16
Info:Linear Algebra: Mksol: WCT time 6430.26, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (32000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 72.91/30.1937
Info:Square Root: Total cpu/real time for sqrt: 1384.7/424.274
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.0459e+06/282740
Info:root: Cleaning up computation data in /tmp/cado.0jw5waks
1081573407402110051222303211753486379427782475190276617105523076381830350623015670820029531995510513760201729669 3678996934201092232196098788832033625431905477624075410630807459987
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovMay 27, 2011 13:49:24 UTC 2011 年 5 月 27 日 (金) 22 時 49 分 24 秒 (日本時間)
1500Dmitry DomanovAugust 16, 2013 10:56:46 UTC 2013 年 8 月 16 日 (金) 19 時 56 分 46 秒 (日本時間)
4511e64400400Dmitry DomanovAugust 16, 2013 10:56:46 UTC 2013 年 8 月 16 日 (金) 19 時 56 分 46 秒 (日本時間)
4000Robert BalfourApril 15, 2020 11:06:32 UTC 2020 年 4 月 15 日 (水) 20 時 6 分 32 秒 (日本時間)

31×10191+419

c190

name 名前Serge Batalov
date 日付November 23, 2008 19:19:16 UTC 2008 年 11 月 24 日 (月) 4 時 19 分 16 秒 (日本時間)
composite number 合成数
2589807852965747702589807852965747702589807852965747702589807852965747702589807852965747702589807852965747702589807852965747702589807852965747702589807852965747702589807852965747702589807853<190>
prime factors 素因数
16352608158325280068530540592321<32>
158372770134973853451453319258450143367925711568851708222095631882900541087769377379856401740310931607028215689622351972876314002803779729804456699654096482093<159>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3712999241
Step 1 took 30616ms
Step 2 took 19179ms
********** Factor found in step 2: 16352608158325280068530540592321
Found probable prime factor of 32 digits: 16352608158325280068530540592321
Probable prime cofactor 158372770134973853451453319258450143367925711568851708222095631882900541087769377379856401740310931607028215689622351972876314002803779729804456699654096482093 has 159 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 KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10193+419

c132

name 名前Warut Roonguthai
date 日付September 13, 2011 21:15:05 UTC 2011 年 9 月 14 日 (水) 6 時 15 分 5 秒 (日本時間)
composite number 合成数
778711179907145946703809146425264094365928916950301812360903975979379774142384741289352609527127356119460156803125537925466464018609<132>
prime factors 素因数
678746221650716426629955561870270556284725722127301962019579<60>
1147278843060538760037244869842569388345277289734270255683365492813941571<73>
factorization results 素因数分解の結果
N = 778711179907145946703809146425264094365928916950301812360903975979379774142384741289352609527127356119460156803125537925466464018609 (132 digits)
Divisors found:
r1=678746221650716426629955561870270556284725722127301962019579 (pp60)
r2=1147278843060538760037244869842569388345277289734270255683365492813941571 (pp73)
Version: Msieve v. 1.48
Total time: 54.28 hours.
Factorization parameters were as follows:
n: 778711179907145946703809146425264094365928916950301812360903975979379774142384741289352609527127356119460156803125537925466464018609
Y0: -28190218129938487726195799
Y1: 402613261432427
c0: -4090406779116688783403810000088000
c1: -61771776958174656222136490536
c2: 20533574232382503730382
c3: -55219507358287059
c4: 38429261928
c5: 43740
skew: 1103725.87
type: gnfs
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20700249
Relations: 2766508 relations
Pruned matrix : 1581960 x 1582185
Polynomial selection time: 0.00 hours.
Total sieving time: 50.65 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.40 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,8000000,8000000,28,28,55,55,2.5,2.5,100000
total time: 54.28 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Serge BatalovNovember 23, 2008 07:27:49 UTC 2008 年 11 月 23 日 (日) 16 時 27 分 49 秒 (日本時間)
2036Wataru SakaiNovember 24, 2009 14:11:11 UTC 2009 年 11 月 24 日 (火) 23 時 11 分 11 秒 (日本時間)
4511e64000Wataru SakaiAugust 18, 2010 06:05:40 UTC 2010 年 8 月 18 日 (水) 15 時 5 分 40 秒 (日本時間)

31×10194+419

c183

name 名前Robert Backstrom
date 日付March 9, 2012 05:50:44 UTC 2012 年 3 月 9 日 (金) 14 時 50 分 44 秒 (日本時間)
composite number 合成数
991702798207816100954140433867447427568618911920738412315302224850630435656823482780611952845279892587218789800109600145919242116610358648356725231435988982387580834579308926542432803<183>
prime factors 素因数
3873127550004752012250854048612809521007238796137<49>
256047027990751134013217203493039036670214555779498743389116526830232690705565278413513161213240311786948144099434359119203368980552619<135>
factorization results 素因数分解の結果
Number: n
N=991702798207816100954140433867447427568618911920738412315302224850630435656823482780611952845279892587218789800109600145919242116610358648356725231435988982387580834579308926542432803
  ( 183 digits)
SNFS difficulty: 195 digits.
Divisors found:

Fri Mar  9 14:48:23 2012  prp49 factor: 3873127550004752012250854048612809521007238796137
Fri Mar  9 14:48:23 2012  prp135 factor: 256047027990751134013217203493039036670214555779498743389116526830232690705565278413513161213240311786948144099434359119203368980552619
Fri Mar  9 14:48:23 2012  elapsed time 07:32:59 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.656).
Factorization parameters were as follows:
name: KA_34449_194
n: 991702798207816100954140433867447427568618911920738412315302224850630435656823482780611952845279892587218789800109600145919242116610358648356725231435988982387580834579308926542432803
m: 100000000000000000000000000000000000000
#  c183, diff: 195.49
skew: 0.17
deg: 5
c5: 310000
c0: 41
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 10397550 hash collisions in 77410331 relations (68862144 unique)
Msieve: matrix is 1683967 x 1684193 (474.8 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,195,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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 KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 27, 2011 13:49:39 UTC 2011 年 5 月 27 日 (金) 22 時 49 分 39 秒 (日本時間)

31×10196+419

c189

name 名前Robert Backstrom
date 日付November 19, 2010 20:18:05 UTC 2010 年 11 月 20 日 (土) 5 時 18 分 5 秒 (日本時間)
composite number 合成数
175840706570977580208378373015926699959699408797849076090584099485330758204042866109379933829655979756568950619005487857422392410614364688585039437857136764708053668686927204180656588733209<189>
prime factors 素因数
51250340323272896517243426348190612104661639258744988591123157163230211013519<77>
3431015393494429421505973542295364591653610124846644296457965821744138443514355160403601340659383760280205175511<112>
factorization results 素因数分解の結果
Number: n
N=175840706570977580208378373015926699959699408797849076090584099485330758204042866109379933829655979756568950619005487857422392410614364688585039437857136764708053668686927204180656588733209
  ( 189 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sat Nov 20 04:07:46 2010  prp77 factor: 51250340323272896517243426348190612104661639258744988591123157163230211013519
Sat Nov 20 04:07:46 2010  prp112 factor: 3431015393494429421505973542295364591653610124846644296457965821744138443514355160403601340659383760280205175511
Sat Nov 20 04:07:46 2010  elapsed time 06:16:19 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.093).
Factorization parameters were as follows:
name: KA_3_4_195_9
n: 175840706570977580208378373015926699959699408797849076090584099485330758204042866109379933829655979756568950619005487857422392410614364688585039437857136764708053668686927204180656588733209
m: 1000000000000000000000000000000000000000
deg: 5
c5: 310
c0: 41
skew: 0.67
type: snfs
lss: 1
rlim: 13700000
alim: 13700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 13700000/13700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 27950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4860488 hash collisions in 32772212 relations
Msieve: matrix is 1969511 x 1969737 (557.4 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,197,5,0,0,0,0,0,0,0,0,13700000,13700000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.32 BogoMIPS (lpj=2830164)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830451)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Total of 4 processors activated (22643.06 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 21, 2010 14:17:28 UTC 2010 年 6 月 21 日 (月) 23 時 17 分 28 秒 (日本時間)
403e62446110Ignacio SantosJune 21, 2010 14:17:28 UTC 2010 年 6 月 21 日 (月) 23 時 17 分 28 秒 (日本時間)
2336Wataru SakaiJune 22, 2010 06:18:58 UTC 2010 年 6 月 22 日 (火) 15 時 18 分 58 秒 (日本時間)
4511e632 / 3924Ignacio SantosJune 21, 2010 14:17:28 UTC 2010 年 6 月 21 日 (月) 23 時 17 分 28 秒 (日本時間)

31×10197+419

c184

name 名前Bob Backstrom
date 日付March 11, 2021 21:26:18 UTC 2021 年 3 月 12 日 (金) 6 時 26 分 18 秒 (日本時間)
composite number 合成数
2266659083110452252621990288006120258694940157814835170811485472625762798287432033056081981511523199426320752018982864515931399376116317539562915108356384544842126219740374944560107629<184>
prime factors 素因数
4765012642610168837823834060487083961778755687574727925068844701360241<70>
475687947360581691110270721648809188026389076035303565100258172638144698564911905959884399926478526516537299611069<114>
factorization results 素因数分解の結果
Number: n
N=2266659083110452252621990288006120258694940157814835170811485472625762798287432033056081981511523199426320752018982864515931399376116317539562915108356384544842126219740374944560107629  ( 184 digits)
SNFS difficulty: 198 digits.
Divisors found:

Fri Mar 12 08:22:46 2021  p70 factor: 4765012642610168837823834060487083961778755687574727925068844701360241
Fri Mar 12 08:22:46 2021  p114 factor: 475687947360581691110270721648809188026389076035303565100258172638144698564911905959884399926478526516537299611069
Fri Mar 12 08:22:46 2021  elapsed time 01:41:42 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 31x10^197+41 = 34(196)9
#
n: 2266659083110452252621990288006120258694940157814835170811485472625762798287432033056081981511523199426320752018982864515931399376116317539562915108356384544842126219740374944560107629
m: 1000000000000000000000000000000000000000
deg: 5
c5: 3100
c0: 41
skew: 0.42
# Murphy_E = 1.261e-11
type: snfs
lss: 1
rlim: 14200000
alim: 14200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14200000/14200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4484426 hash collisions in 29166215 relations (26025712 unique)
Msieve: matrix is 2112751 x 2112977 (737.9 MB)

Sieving start time : 2021/03/11 21:33:52
Sieving end time  : 2021/03/12 06:40:30

Total sieving time: 9hrs 6min 38secs.

Total relation processing time: 1hrs 26min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 14sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14200000,14200000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116745] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.152613] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.17 BogoMIPS (lpj=12798352)
[    0.150217] smpboot: Total of 16 processors activated (102386.81 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovMay 27, 2011 13:49:47 UTC 2011 年 5 月 27 日 (金) 22 時 49 分 47 秒 (日本時間)
1500Dmitry DomanovAugust 16, 2013 10:57:01 UTC 2013 年 8 月 16 日 (金) 19 時 57 分 1 秒 (日本時間)
4511e6400 / 4081Dmitry DomanovAugust 16, 2013 10:57:01 UTC 2013 年 8 月 16 日 (金) 19 時 57 分 1 秒 (日本時間)

31×10198+419

c188

name 名前Robert Backstrom
date 日付September 14, 2012 22:21:27 UTC 2012 年 9 月 15 日 (土) 7 時 21 分 27 秒 (日本時間)
composite number 合成数
44952531408972576051380618066997759577770198936720995108670181712612920032789074711027993901997129361630628527674043459831389553631918644815525997005737865411491095366494728554521959229763<188>
prime factors 素因数
1001325305864517210834567641254373115277355091139738608349717<61>
44893034407196745277270916552783241845738840139004600782715359648963692820482463679578970795186612323874183451176923182446312439<128>
factorization results 素因数分解の結果
Number: n
N=44952531408972576051380618066997759577770198936720995108670181712612920032789074711027993901997129361630628527674043459831389553631918644815525997005737865411491095366494728554521959229763
  ( 188 digits)
SNFS difficulty: 199 digits.
Divisors found:

Sat Sep 15 04:52:29 2012  prp61 factor: 1001325305864517210834567641254373115277355091139738608349717
Sat Sep 15 04:52:29 2012  prp128 factor: 44893034407196745277270916552783241845738840139004600782715359648963692820482463679578970795186612323874183451176923182446312439
Sat Sep 15 04:52:29 2012  elapsed time 08:00:06 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.095).
Factorization parameters were as follows:
name: KA_34449_198
n: 44952531408972576051380618066997759577770198936720995108670181712612920032789074711027993901997129361630628527674043459831389553631918644815525997005737865411491095366494728554521959229763
m: 1000000000000000000000000000000000000000
#  c188, diff: 199.49
skew: 0.266
deg: 5
c5: 31000
c0: 41
# Murphy_E = 1.079e-11
type: snfs
lss: 1
rlim: 14800000
alim: 14800000
lpbr: 28
lpba: 28
mfbr: 56  # Was 55, "
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 14800000/14800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 30200000)
Primes: RFBsize:958651, AFBsize:959421,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 5395876 hash collisions in 31805363 relations (27709356 unique)
Msieve: matrix is 2345005 x 2345231 (664.9 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14800000,14800000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830713)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830455)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.15 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 27, 2011 13:49:55 UTC 2011 年 5 月 27 日 (金) 22 時 49 分 55 秒 (日本時間)

31×10199+419

c172

name 名前Serge Batalov
date 日付November 21, 2008 17:59:08 UTC 2008 年 11 月 22 日 (土) 2 時 59 分 8 秒 (日本時間)
composite number 合成数
7792209582684292101804484010237369845829892719144445256614256599829055365397038388501158279457954551710525998179968507055820754733416855832302497706847346294965428458786179<172>
prime factors 素因数
142018885622971503634552823639<30>
54867418150082322617178305566660740301855900348368997744658055286701238044662021541391733259709740789882218697925348449694048592355472049447861<143>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1592717021
Step 1 took 24586ms
Step 2 took 16761ms
********** Factor found in step 2: 142018885622971503634552823639
Found probable prime factor of 30 digits: 142018885622971503634552823639
Probable prime cofactor 54867418150082322617178305566660740301855900348368997744658055286701238044662021541391733259709740789882218697925348449694048592355472049447861 has 143 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 KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)

31×10201+419

c166

name 名前Dmitry Domanov
date 日付June 13, 2013 13:25:47 UTC 2013 年 6 月 13 日 (木) 22 時 25 分 47 秒 (日本時間)
composite number 合成数
7539350682064534726354614847395126163743754403124408363230016514691411173482221343944059630977326039444075416165574722301851700590741254789963085833154458478125104033<166>
prime factors 素因数
992902175567631298816735133040185471<36>
7593246210538687275643532109227482876820861381201715852190549449431395446960255415879060340186580059106364002082481061683741664223<130>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1035341997
Step 1 took 57809ms
Step 2 took 20468ms
********** Factor found in step 2: 992902175567631298816735133040185471
Found probable prime factor of 36 digits: 992902175567631298816735133040185471

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 27, 2011 13:50:06 UTC 2011 年 5 月 27 日 (金) 22 時 50 分 6 秒 (日本時間)

31×10202+419

c191

name 名前Bob Backstrom
date 日付May 17, 2021 11:20:21 UTC 2021 年 5 月 17 日 (月) 20 時 20 分 21 秒 (日本時間)
composite number 合成数
29564496548794308948634634164626449645062769655954644079373566978749602263351225296177200520648745666836216409495993035865892511393350040589720984431337942106570030492592339960793783999819883<191>
prime factors 素因数
6300384148104391321584574071898245976190598722073687466062797139853<67>
4692491101148084089976973959510738540065639004135686373641207999449804028553088712605165208102681736944273477226122280535511<124>
factorization results 素因数分解の結果
Number: n
N=29564496548794308948634634164626449645062769655954644079373566978749602263351225296177200520648745666836216409495993035865892511393350040589720984431337942106570030492592339960793783999819883
  ( 191 digits)
SNFS difficulty: 203 digits.
Divisors found:

Mon May 17 21:15:17 2021  p67 factor: 6300384148104391321584574071898245976190598722073687466062797139853
Mon May 17 21:15:17 2021  p124 factor: 4692491101148084089976973959510738540065639004135686373641207999449804028553088712605165208102681736944273477226122280535511
Mon May 17 21:15:17 2021  elapsed time 02:27:49 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 31x10^202+41 = 34(201)9
#
n: 29564496548794308948634634164626449645062769655954644079373566978749602263351225296177200520648745666836216409495993035865892511393350040589720984431337942106570030492592339960793783999819883
m: 10000000000000000000000000000000000000000
deg: 5
c5: 3100
c0: 41
skew: 0.42
# Murphy_E = 7.796e-12
type: snfs
lss: 1
rlim: 17200000
alim: 17200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17200000/17200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8452768 hash collisions in 54591954 relations (47896688 unique)
Msieve: matrix is 2551601 x 2551827 (891.0 MB)

Sieving start time : 2021/05/17 04:34:29
Sieving end time  : 2021/05/17 18:46:29

Total sieving time: 14hrs 12min 0secs.

Total relation processing time: 2hrs 9min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 11sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17200000,17200000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118393] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241108K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486128K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.30 BogoMIPS (lpj=12798612)
[    0.152049] smpboot: Total of 16 processors activated (102388.89 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovMay 27, 2011 13:51:26 UTC 2011 年 5 月 27 日 (金) 22 時 51 分 26 秒 (日本時間)
1500Dmitry DomanovAugust 16, 2013 10:57:24 UTC 2013 年 8 月 16 日 (金) 19 時 57 分 24 秒 (日本時間)
4511e6400 / 4081Dmitry DomanovAugust 16, 2013 10:57:24 UTC 2013 年 8 月 16 日 (金) 19 時 57 分 24 秒 (日本時間)

31×10204+419

c181

name 名前Bob Backstrom
date 日付November 1, 2021 10:51:54 UTC 2021 年 11 月 1 日 (月) 19 時 51 分 54 秒 (日本時間)
composite number 合成数
2863545726579726339413680447001641259496008143579766976551334910292448939632428263896936537063015468059479933152418101558936972860582455134391966085827871037753507313902485983925627<181>
prime factors 素因数
3407545708046504596430382483776796288867141753289324386571907741<64>
840354311262153141838325705979576189969757523907623892873735303609737361148165992030609221928482741000461477632409847<117>
factorization results 素因数分解の結果
Number: n
N=2863545726579726339413680447001641259496008143579766976551334910292448939632428263896936537063015468059479933152418101558936972860582455134391966085827871037753507313902485983925627  ( 181 digits)
SNFS difficulty: 205 digits.
Divisors found:

Mon Nov  1 21:45:57 2021  p64 factor: 3407545708046504596430382483776796288867141753289324386571907741
Mon Nov  1 21:45:57 2021  p117 factor: 840354311262153141838325705979576189969757523907623892873735303609737361148165992030609221928482741000461477632409847
Mon Nov  1 21:45:57 2021  elapsed time 02:09:43 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 31x10^204+41 = 34(203)9
#
n: 2863545726579726339413680447001641259496008143579766976551334910292448939632428263896936537063015468059479933152418101558936972860582455134391966085827871037753507313902485983925627
m: 10000000000000000000000000000000000
deg: 6
c6: 31
c0: 41
skew: 1.05
# Murphy_E = 7.444e-12
type: snfs
lss: 1
rlim: 18600000
alim: 18600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18600000/18600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9061790 hash collisions in 62959819 relations (55607740 unique)
Msieve: matrix is 2389822 x 2390057 (821.8 MB)

Sieving start time : 2021/11/01 03:30:06
Sieving end time  : 2021/11/01 19:35:04

Total sieving time: 16hrs 4min 58secs.

Total relation processing time: 1hrs 50min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 29sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18600000,18600000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 21, 2008 08:00:00 UTC 2008 年 11 月 21 日 (金) 17 時 0 分 0 秒 (日本時間)
351e60--
403e61800300Dmitry DomanovMay 27, 2011 13:51:34 UTC 2011 年 5 月 27 日 (金) 22 時 51 分 34 秒 (日本時間)
1500Dmitry DomanovAugust 16, 2013 10:57:36 UTC 2013 年 8 月 16 日 (金) 19 時 57 分 36 秒 (日本時間)
4511e6400 / 4081Dmitry DomanovAugust 16, 2013 10:57:36 UTC 2013 年 8 月 16 日 (金) 19 時 57 分 36 秒 (日本時間)

31×10206+419

c158

name 名前Dmitry Domanov
date 日付June 10, 2013 07:53:45 UTC 2013 年 6 月 10 日 (月) 16 時 53 分 45 秒 (日本時間)
composite number 合成数
80029769019966497242372405981820460927576595709511303386423620464960249072255273082469718399706645394687485842303216346743485112697844710293832143031591021489<158>
prime factors 素因数
8519984970999267212564731469825572531<37>
9393181947195406672282556302423122441334666281866804995360094050154190195358117582924781297370692183091621661757035601419<121>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1410225400
Step 1 took 58498ms
Step 2 took 19807ms
********** Factor found in step 2: 8519984970999267212564731469825572531
Found probable prime factor of 37 digits: 8519984970999267212564731469825572531

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

31×10207+419

c182

name 名前Dmitry Domanov
date 日付August 15, 2013 09:36:53 UTC 2013 年 8 月 15 日 (木) 18 時 36 分 53 秒 (日本時間)
composite number 合成数
13702477473595616277399920641845580814693935825708456289561582258619507546900032888243471587387388042996601926332131343568989507418590026256340523035891336768056816521655956561724961<182>
prime factors 素因数
225204704209680042761010676242229333024927558457<48>
composite cofactor 合成数の残り
60844543730479669493132610109232834160314953111769300257919837175465081399203872995640797572935252676729626385355319734594845052856873<134>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2190005929
Step 1 took 84100ms
Step 2 took 29174ms
********** Factor found in step 2: 225204704209680042761010676242229333024927558457
Found probable prime factor of 48 digits: 225204704209680042761010676242229333024927558457

c134

name 名前Erik Branger
date 日付May 19, 2014 21:30:27 UTC 2014 年 5 月 20 日 (火) 6 時 30 分 27 秒 (日本時間)
composite number 合成数
60844543730479669493132610109232834160314953111769300257919837175465081399203872995640797572935252676729626385355319734594845052856873<134>
prime factors 素因数
7182275394690307997475305100286178853851907031908041630751419<61>
8471485759994757327528628326395002831871219363173458311269067308710812267<73>
factorization results 素因数分解の結果
Number: 34449_207
N = 60844543730479669493132610109232834160314953111769300257919837175465081399203872995640797572935252676729626385355319734594845052856873 (134 digits)
Divisors found:
r1=7182275394690307997475305100286178853851907031908041630751419 (pp61)
r2=8471485759994757327528628326395002831871219363173458311269067308710812267 (pp73)
Version: Msieve v. 1.51 (SVN 845)
Total time: 137.47 hours.
Factorization parameters were as follows:
# Murphy_E = 4.714e-11, selected by Erik Branger
# expecting poly E from 4.90e-011 to > 5.63e-011
n: 60844543730479669493132610109232834160314953111769300257919837175465081399203872995640797572935252676729626385355319734594845052856873
Y0: -87545253546574583733323337
Y1: 183738752108347
c0: -2297960922827583181411074592612160
c1: 15920571722880896261072863688
c2: -15816442194671720127382
c3: -40232263746264278
c4: 5886344019
c5: 11832
skew: 974384.28
type: gnfs
# selected mechanically
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20045260
Relations: 3066758 relations
Pruned matrix : 1812069 x 1812300
Polynomial selection time: 0.00 hours.
Total sieving time: 133.66 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 3.06 hours.
time per square root: 0.59 hours.
Prototype def-par.txt line would be: gnfs,133,5,65,2000,1e-05,0.28,250,20,50000,3600,12400000,12400000,28,28,54,54,2.6,2.6,100000
total time: 137.47 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 14, 2013 10:14:28 UTC 2013 年 8 月 14 日 (水) 19 時 14 分 28 秒 (日本時間)
4511e62500400Dmitry DomanovAugust 14, 2013 10:14:35 UTC 2013 年 8 月 14 日 (水) 19 時 14 分 35 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:45:22 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 22 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:08:31 UTC 2013 年 11 月 9 日 (土) 2 時 8 分 31 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:22:45 UTC 2014 年 1 月 6 日 (月) 11 時 22 分 45 秒 (日本時間)
5043e6500 / 6935Ignacio SantosMay 1, 2014 22:24:25 UTC 2014 年 5 月 2 日 (金) 7 時 24 分 25 秒 (日本時間)

31×10208+419

c181

composite cofactor 合成数の残り
2111888976302312193738102908688455109389665350381626432415719607757172757563983768818929633460870255692890274305684229562047207813736077281298988255992714969626107692001445498765079<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 16, 2013 10:57:55 UTC 2013 年 8 月 16 日 (金) 19 時 57 分 55 秒 (日本時間)
4511e6400 / 4143Dmitry DomanovAugust 16, 2013 10:57:55 UTC 2013 年 8 月 16 日 (金) 19 時 57 分 55 秒 (日本時間)

31×10210+419

c206

name 名前Bob Backstrom
date 日付January 16, 2020 09:08:25 UTC 2020 年 1 月 16 日 (木) 18 時 8 分 25 秒 (日本時間)
composite number 合成数
15485033714914535101824087019895271220365516728082308448884153465675424702025492361632482205947951305063655976498713992925837178367108189934428374975586096038179099899946701512987697390472108706934747566477<206>
prime factors 素因数
121633537148610054677904897506018862575140205694370215202298599573206843253927799883286375950119213<99>
127308915599446476621045447178657643743286893873923475799214518703881350917237603324790685747065721794076129<108>
factorization results 素因数分解の結果
Number: n
N=15485033714914535101824087019895271220365516728082308448884153465675424702025492361632482205947951305063655976498713992925837178367108189934428374975586096038179099899946701512987697390472108706934747566477
  ( 206 digits)
SNFS difficulty: 211 digits.
Divisors found:

Thu Jan 16 20:03:40 2020  p99 factor: 121633537148610054677904897506018862575140205694370215202298599573206843253927799883286375950119213
Thu Jan 16 20:03:40 2020  p108 factor: 127308915599446476621045447178657643743286893873923475799214518703881350917237603324790685747065721794076129
Thu Jan 16 20:03:40 2020  elapsed time 04:14:16 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.130).
Factorization parameters were as follows:
#
# N = 31x10^210+41 = 34(209)9
#
n: 15485033714914535101824087019895271220365516728082308448884153465675424702025492361632482205947951305063655976498713992925837178367108189934428374975586096038179099899946701512987697390472108706934747566477
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 31
c0: 41
skew: 1.06
# Murphy_E = 5.476e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 51500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8396546 hash collisions in 57171321 relations (50805541 unique)
Msieve: matrix is 3062705 x 3062930 (1074.0 MB)

Sieving start time: 2020/01/15 18:29:05
Sieving end time  : 2020/01/16 15:48:03

Total sieving time: 21hrs 18min 58secs.

Total relation processing time: 3hrs 47min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 23sec.

Prototype def-par.txt line would be:
snfs,211,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149937] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283572K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2428K init, 2388K bss, 419888K reserved, 0K cma-reserved)
[    0.184567] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.57 BogoMIPS (lpj=11977148)
[    0.182215] smpboot: Total of 16 processors activated (95817.18 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 29, 2013 21:12:12 UTC 2013 年 5 月 30 日 (木) 6 時 12 分 12 秒 (日本時間)
403e61610110Ignacio SantosMay 29, 2013 21:12:12 UTC 2013 年 5 月 30 日 (木) 6 時 12 分 12 秒 (日本時間)
1500Dmitry DomanovAugust 16, 2013 10:58:07 UTC 2013 年 8 月 16 日 (金) 19 時 58 分 7 秒 (日本時間)
4511e6438232Ignacio SantosMay 29, 2013 21:12:12 UTC 2013 年 5 月 30 日 (木) 6 時 12 分 12 秒 (日本時間)
400Dmitry DomanovAugust 16, 2013 10:58:07 UTC 2013 年 8 月 16 日 (金) 19 時 58 分 7 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:08 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 8 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:26 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 26 秒 (日本時間)
1800Serge BatalovMay 24, 2014 03:26:04 UTC 2014 年 5 月 24 日 (土) 12 時 26 分 4 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:23 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 23 秒 (日本時間)

31×10212+419

c160

name 名前Dmitry Domanov
date 日付June 10, 2013 07:54:21 UTC 2013 年 6 月 10 日 (月) 16 時 54 分 21 秒 (日本時間)
composite number 合成数
3320486046521924404019073553172007255878868991610912095826499981200252467978572135942202525900951240354540196455916617825807405180986003615064140462628808947141<160>
prime factors 素因数
15050947092932561539163118540358823<35>
composite cofactor 合成数の残り
220616418755542457990838958532273650020632050447445175353702743053050372824807636791035351811997938278515412785283886879622067<126>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1932979856
Step 1 took 58539ms
Step 2 took 19810ms
********** Factor found in step 2: 15050947092932561539163118540358823
Found probable prime factor of 35 digits: 15050947092932561539163118540358823

c126

name 名前Erik Branger
date 日付June 14, 2013 06:46:50 UTC 2013 年 6 月 14 日 (金) 15 時 46 分 50 秒 (日本時間)
composite number 合成数
220616418755542457990838958532273650020632050447445175353702743053050372824807636791035351811997938278515412785283886879622067<126>
prime factors 素因数
993664318565814989635065305832906495581<39>
222023086301382583928586798583196594628123584726304738815193343627033966544048003613007<87>
factorization results 素因数分解の結果
Number: 34449_212
N = 220616418755542457990838958532273650020632050447445175353702743053050372824807636791035351811997938278515412785283886879622067 (126 digits)
Divisors found:
r1=993664318565814989635065305832906495581 (pp39)
r2=222023086301382583928586798583196594628123584726304738815193343627033966544048003613007 (pp87)
Version: Msieve v. 1.51 (SVN 845)
Total time: 33.54 hours.
Factorization parameters were as follows:
n: 220616418755542457990838958532273650020632050447445175353702743053050372824807636791035351811997938278515412785283886879622067
Y0: -1793761293763557820323757
Y1: 10819691769979
c0: 490839831277360962061378457016
c1: 56394754753103803323482490
c2: 651036975208301370047
c3: -3716638567429853
c4: -8401190065
c5: 11880
skew: 238718.91 
type: gnfs
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 18027570
Relations: 2103872 relations
Pruned matrix : 1149577 x 1149814
Polynomial selection time: 0.00 hours.
Total sieving time: 32.45 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.84 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: gnfs,125,5,65,2000,1e-05,0.28,250,20,50000,3600,5800000,5800000,28,28,55,55,2.5,2.5,100000
total time: 33.54 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 10, 2013 19:22:50 UTC 2013 年 6 月 11 日 (火) 4 時 22 分 50 秒 (日本時間)
403e6110Ignacio SantosJune 10, 2013 19:22:50 UTC 2013 年 6 月 11 日 (火) 4 時 22 分 50 秒 (日本時間)
4511e6132 / 373532Ignacio SantosJune 10, 2013 19:22:50 UTC 2013 年 6 月 11 日 (火) 4 時 22 分 50 秒 (日本時間)
100Rich DickersonJune 12, 2013 22:46:56 UTC 2013 年 6 月 13 日 (木) 7 時 46 分 56 秒 (日本時間)
5043e6200 / 7517Rich DickersonJune 13, 2013 00:14:54 UTC 2013 年 6 月 13 日 (木) 9 時 14 分 54 秒 (日本時間)

31×10213+419

c194

composite cofactor 合成数の残り
29238403232216118010991587493984050510090735402590888563789333872904822979623542954067816792142384470691302662016480871319471943687664708396860702211091418237661428073319797118525077125004233627<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 16, 2013 10:58:20 UTC 2013 年 8 月 16 日 (金) 19 時 58 分 20 秒 (日本時間)
4511e6400 / 4143Dmitry DomanovAugust 16, 2013 10:58:20 UTC 2013 年 8 月 16 日 (金) 19 時 58 分 20 秒 (日本時間)

31×10214+419

c186

name 名前Dmitry Domanov
date 日付June 10, 2013 07:56:46 UTC 2013 年 6 月 10 日 (月) 16 時 56 分 46 秒 (日本時間)
composite number 合成数
248873786655029011677460893534417763047915673638112835433004777811417798938404159147510414215902300347047403138023811816625896351711474631766927555025753241409893709998023218616682218521<186>
prime factors 素因数
425778958642147367007547481230026416623<39>
584514057361389965081237648011382918787829889711774451957472592484835599119193163770380303826231770206061883728623444277670200772321760163024183927<147>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=428434720
Step 1 took 70698ms
Step 2 took 23309ms
********** Factor found in step 2: 425778958642147367007547481230026416623
Found probable prime factor of 39 digits: 425778958642147367007547481230026416623

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

31×10215+419

c187

name 名前Dmitry Domanov
date 日付June 13, 2013 13:26:31 UTC 2013 年 6 月 13 日 (木) 22 時 26 分 31 秒 (日本時間)
composite number 合成数
6232281542311126171162532375567372573593020285602952509574673013904511595683949547952474941745415614170295118796651680777738750351559214997018106032669391559172716364404685224986049873063<187>
prime factors 素因数
796641625088737708297425668273840076113<39>
composite cofactor 合成数の残り
7823193448643753598693077873258506985638021147435504284966675849490541831363240513237272083265486361775976768712260069331609761939979836808393260151<148>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3555589766
Step 1 took 70833ms
Step 2 took 23351ms
********** Factor found in step 2: 796641625088737708297425668273840076113
Found probable prime factor of 39 digits: 796641625088737708297425668273840076113

c148

name 名前Serge Batalov
date 日付November 8, 2013 03:01:14 UTC 2013 年 11 月 8 日 (金) 12 時 1 分 14 秒 (日本時間)
composite number 合成数
7823193448643753598693077873258506985638021147435504284966675849490541831363240513237272083265486361775976768712260069331609761939979836808393260151<148>
prime factors 素因数
774631103924254370080253336304532018513<39>
10099250351569574565250013834516989781304412428739212759531966904140629401647314590440017342290478322900493127<110>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2259722184
Step 1 took 33746ms
Step 2 took 13813ms
********** Factor found in step 2: 774631103924254370080253336304532018513
Found probable prime factor of 39 digits: 774631103924254370080253336304532018513
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 15, 2013 19:29:14 UTC 2013 年 6 月 16 日 (日) 4 時 29 分 14 秒 (日本時間)
403e61610110Ignacio SantosJune 15, 2013 19:29:14 UTC 2013 年 6 月 16 日 (日) 4 時 29 分 14 秒 (日本時間)
1500Dmitry DomanovAugust 16, 2013 10:58:34 UTC 2013 年 8 月 16 日 (金) 19 時 58 分 34 秒 (日本時間)
4511e6432 / 410532Ignacio SantosJune 15, 2013 19:29:14 UTC 2013 年 6 月 16 日 (日) 4 時 29 分 14 秒 (日本時間)
400Dmitry DomanovAugust 16, 2013 10:58:34 UTC 2013 年 8 月 16 日 (金) 19 時 58 分 34 秒 (日本時間)

31×10216+419

c192

name 名前Dmitry Domanov
date 日付June 10, 2013 07:55:49 UTC 2013 年 6 月 10 日 (月) 16 時 55 分 49 秒 (日本時間)
composite number 合成数
328001984179588267510220474452372369126269611729428472008774713974658357032297191688355810298469740472868509090594454622734044389693012656655099826274273967267697244423443216043750148365975677<192>
prime factors 素因数
10200867298502466088217914697<29>
composite cofactor 合成数の残り
32154323214040874439534040294718940677414713030387503286279244580851877714618350007812435579726854938720010555008803551941465261423395348575187483006427612163112341<164>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2201302346
Step 1 took 70952ms
Step 2 took 23355ms
********** Factor found in step 2: 10200867298502466088217914697
Found probable prime factor of 29 digits: 10200867298502466088217914697

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 16, 2013 10:58:45 UTC 2013 年 8 月 16 日 (金) 19 時 58 分 45 秒 (日本時間)
4511e6400 / 4143Dmitry DomanovAugust 16, 2013 10:58:45 UTC 2013 年 8 月 16 日 (金) 19 時 58 分 45 秒 (日本時間)

31×10217+419

c150

name 名前Dmitry Domanov
date 日付June 13, 2013 13:24:58 UTC 2013 年 6 月 13 日 (木) 22 時 24 分 58 秒 (日本時間)
composite number 合成数
437588717466881413871716274382471085675097529220759221634028578861617327902775047402245173175455375306581174726465282446812488821546477399201205962511<150>
prime factors 素因数
25772606178650393234445558829583591<35>
16978830717918344363566511511746725253868666706311981027132426751248047758642938879950759561014514374618125243828121<116>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4203094186
Step 1 took 48688ms
Step 2 took 17983ms
********** Factor found in step 2: 25772606178650393234445558829583591
Found probable prime factor of 35 digits: 25772606178650393234445558829583591

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 29, 2013 19:28:16 UTC 2013 年 5 月 30 日 (木) 4 時 28 分 16 秒 (日本時間)
403e6110 / 2126Ignacio SantosMay 29, 2013 19:28:16 UTC 2013 年 5 月 30 日 (木) 4 時 28 分 16 秒 (日本時間)
4511e632 / 4437Ignacio SantosMay 29, 2013 19:28:16 UTC 2013 年 5 月 30 日 (木) 4 時 28 分 16 秒 (日本時間)

31×10218+419

c181

composite cofactor 合成数の残り
5287699979986705013781595576383714341843185402799577168069781669611133841390690520345569516332431013198769556971007688467838505946952535014246185218010225414230675563307134838281687<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 16, 2013 10:58:55 UTC 2013 年 8 月 16 日 (金) 19 時 58 分 55 秒 (日本時間)
4511e6400 / 4143Dmitry DomanovAugust 16, 2013 10:58:55 UTC 2013 年 8 月 16 日 (金) 19 時 58 分 55 秒 (日本時間)

31×10219+419

c123

name 名前Dmitry Domanov
date 日付June 4, 2013 09:48:05 UTC 2013 年 6 月 4 日 (火) 18 時 48 分 5 秒 (日本時間)
composite number 合成数
170102857738719498922760035732324458636102814825550339525193968587130078212279912787617936336795960495428745956221242908293<123>
prime factors 素因数
467004505784181438016074469432022453543<39>
364242433706474295087029940395287618858953015707256786209665140048099465352941083251<84>
factorization results 素因数分解の結果
N=170102857738719498922760035732324458636102814825550339525193968587130078212279912787617936336795960495428745956221242908293
  ( 123 digits)
Divisors found:
 r1=467004505784181438016074469432022453543 (pp39)
 r2=364242433706474295087029940395287618858953015707256786209665140048099465352941083251 (pp84)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 56.09 hours.
Scaled time: 107.93 units (timescale=1.924).
Factorization parameters were as follows:
n: 170102857738719498922760035732324458636102814825550339525193968587130078212279912787617936336795960495428745956221242908293
skew: 118894.92
c0: 62703770318695335223854819744
c1: 1044911970834830603463528
c2: -118821082602887670788
c3: 946272795656578
c4: 8043992473
c5: 9180
Y0: -450374149222149951451495
Y1: 1958662616207
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
type: gnfs
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2650000, 5450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 692538 x 692765
Total sieving time: 55.32 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.53 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,122,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5300000,5300000,27,27,54,54,2.5,2.5,100000
total time: 56.09 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 KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 29, 2013 18:30:29 UTC 2013 年 5 月 30 日 (木) 3 時 30 分 29 秒 (日本時間)
403e6110 / 2126Ignacio SantosMay 29, 2013 18:30:29 UTC 2013 年 5 月 30 日 (木) 3 時 30 分 29 秒 (日本時間)
4511e632 / 4437Ignacio SantosMay 29, 2013 18:30:29 UTC 2013 年 5 月 30 日 (木) 3 時 30 分 29 秒 (日本時間)

31×10220+419

c189

name 名前Erik Branger
date 日付December 18, 2018 21:00:59 UTC 2018 年 12 月 19 日 (水) 6 時 0 分 59 秒 (日本時間)
composite number 合成数
437579715788602207748854895650596816616291315705447734928952188009760290939089916717607715503524159809314501867932127744439974058898367328146410741210088861182327191185258894787389084710507<189>
prime factors 素因数
5210470347643843790100029756475720532315614637906417881599584931<64>
83980847523002257013676164116553399441952751062450100553905534728275802093087598033385675698512387343332947707525844746406297<125>
factorization results 素因数分解の結果
Number: 34449_220
N = 437579715788602207748854895650596816616291315705447734928952188009760290939089916717607715503524159809314501867932127744439974058898367328146410741210088861182327191185258894787389084710507 (189 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=5210470347643843790100029756475720532315614637906417881599584931 (pp64)
r2=83980847523002257013676164116553399441952751062450100553905534728275802093087598033385675698512387343332947707525844746406297 (pp125)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 45.01 hours.
Factorization parameters were as follows:
n: 437579715788602207748854895650596816616291315705447734928952188009760290939089916717607715503524159809314501867932127744439974058898367328146410741210088861182327191185258894787389084710507
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 31
c0: 41
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31110942
Relations: 9200890 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 15.66 hours.
Total relation processing time: 0.27 hours.
Pruned matrix : 7871697 x 7871922
Matrix solve time: 28.87 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 45.01 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 16, 2013 10:59:06 UTC 2013 年 8 月 16 日 (金) 19 時 59 分 6 秒 (日本時間)
4511e6400 / 4143Dmitry DomanovAugust 16, 2013 10:59:06 UTC 2013 年 8 月 16 日 (金) 19 時 59 分 6 秒 (日本時間)

31×10221+419

c194

name 名前Erik Branger
date 日付June 20, 2021 21:29:26 UTC 2021 年 6 月 21 日 (月) 6 時 29 分 26 秒 (日本時間)
composite number 合成数
11670010951999084776046264062732351618901987715950814917160998094603405273743627525410464987770833716489998571611100805720183227578758854896458302043182254366295756185145214243097446064128217241<194>
prime factors 素因数
56696367860920648350071177676340083902855557087<47>
6252836713803807795237960100056893242236935044409784785267358619716191<70>
32918416690340593201111630537079305765368549712933709968643187546910648851673<77>
factorization results 素因数分解の結果
Number: 34449_221
N = 11670010951999084776046264062732351618901987715950814917160998094603405273743627525410464987770833716489998571611100805720183227578758854896458302043182254366295756185145214243097446064128217241 (194 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=56696367860920648350071177676340083902855557087 (pp47)
r2=6252836713803807795237960100056893242236935044409784785267358619716191 (pp70)
r3=32918416690340593201111630537079305765368549712933709968643187546910648851673 (pp77)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 65.97 hours.
Factorization parameters were as follows:
n: 11670010951999084776046264062732351618901987715950814917160998094603405273743627525410464987770833716489998571611100805720183227578758854896458302043182254366295756185145214243097446064128217241
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 310
c0: 41
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8921830 relations
Pruned matrix : 7600262 x 7600487
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 38.87 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 26.14 hours.
time per square root: 0.55 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 65.97 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 16, 2013 10:59:18 UTC 2013 年 8 月 16 日 (金) 19 時 59 分 18 秒 (日本時間)
4511e6400 / 4143Dmitry DomanovAugust 16, 2013 10:59:18 UTC 2013 年 8 月 16 日 (金) 19 時 59 分 18 秒 (日本時間)

31×10222+419

c211

name 名前Bob Backstrom
date 日付April 18, 2020 19:53:20 UTC 2020 年 4 月 19 日 (日) 4 時 53 分 20 秒 (日本時間)
composite number 合成数
7016729608501021253066926355207116007800842414339046407634067434713802119210773138907888914209257679735958879159861184889852568175687839769830591272371667536330377637781070246517246348849685900436398955443591769<211>
prime factors 素因数
60561926789032256972356962917170390205370133538371296101<56>
827009145576829653193944403710790702046797733151401870253556488761<66>
140095680482442871517374166543202631570602625499356676341493647231929830481758383668418829<90>
factorization results 素因数分解の結果
Number: n
N=7016729608501021253066926355207116007800842414339046407634067434713802119210773138907888914209257679735958879159861184889852568175687839769830591272371667536330377637781070246517246348849685900436398955443591769  ( 211 digits)
SNFS difficulty: 223 digits.
Divisors found:

Sun Apr 19 05:33:31 2020  found factor: 60561926789032256972356962917170390205370133538371296101
Sun Apr 19 05:43:28 2020  p56 factor: 60561926789032256972356962917170390205370133538371296101
Sun Apr 19 05:43:28 2020  p66 factor: 827009145576829653193944403710790702046797733151401870253556488761
Sun Apr 19 05:43:28 2020  p90 factor: 140095680482442871517374166543202631570602625499356676341493647231929830481758383668418829
Sun Apr 19 05:43:28 2020  elapsed time 11:51:29 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.120).
Factorization parameters were as follows:
#
# N = 31x10^222+41 = 34(221)9
#
n: 7016729608501021253066926355207116007800842414339046407634067434713802119210773138907888914209257679735958879159861184889852568175687839769830591272371667536330377637781070246517246348849685900436398955443591769
m: 10000000000000000000000000000000000000
deg: 6
c6: 31
c0: 41
skew: 1.05
# Murphy_E = 2.079e-12
type: snfs
lss: 1
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 94500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9835469 hash collisions in 59159582 relations (50299021 unique)
Msieve: matrix is 5000835 x 5001060 (1749.4 MB)

Sieving start time: 2020/04/16 18:33:00
Sieving end time  : 2020/04/18 17:31:35

Total sieving time: 46hrs 58min 35secs.

Total relation processing time: 11hrs 11min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 19min 53sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,37000000,37000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.141282] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283232K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2432K init, 2712K bss, 420228K reserved, 0K cma-reserved)
[    0.176568] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.77 BogoMIPS (lpj=11977540)
[    0.174220] smpboot: Total of 16 processors activated (95820.32 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 16, 2013 10:59:28 UTC 2013 年 8 月 16 日 (金) 19 時 59 分 28 秒 (日本時間)
4511e6400 / 4143Dmitry DomanovAugust 16, 2013 10:59:28 UTC 2013 年 8 月 16 日 (金) 19 時 59 分 28 秒 (日本時間)

31×10224+419

c175

composite cofactor 合成数の残り
4854251038347718677968069956127956089210088673456150109812507573319026904031238525911317270966998731359966960325979731549724898993677599600216888136872317250972754258279076271<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 16, 2013 10:59:38 UTC 2013 年 8 月 16 日 (金) 19 時 59 分 38 秒 (日本時間)
4511e6400 / 4143Dmitry DomanovAugust 16, 2013 10:59:38 UTC 2013 年 8 月 16 日 (金) 19 時 59 分 38 秒 (日本時間)

31×10226+419

c220

name 名前Dmitry Domanov
date 日付June 10, 2013 07:55:21 UTC 2013 年 6 月 10 日 (月) 16 時 55 分 21 秒 (日本時間)
composite number 合成数
1230093666990129716511938937959904493781755488020238802527782171394593180426579738566129571662457583741532972646855516122323831530355285295247220832513981829905512656435723683488185658624429345163723463214122297475781529<220>
prime factors 素因数
176329157621509655085903256194143<33>
6976121723614902271839047597019274646502097244404642522396394800905427313769214990762967142049264792109865931158877662213544284999920316269279632997359971478620961486948827702268212093703<187>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3316177302
Step 1 took 97820ms
Step 2 took 28405ms
********** Factor found in step 2: 176329157621509655085903256194143
Found probable prime factor of 33 digits: 176329157621509655085903256194143

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

31×10230+419

c183

name 名前Dmitry Domanov
date 日付August 16, 2013 04:57:28 UTC 2013 年 8 月 16 日 (金) 13 時 57 分 28 秒 (日本時間)
composite number 合成数
508353635204978625969391016682207571228975700010217066430309867463263501398733957358070790521283751182535867899809057601210463742311067088948948047667228947256513243929982899611694303<183>
prime factors 素因数
41104821825281428856457072612915653145620879<44>
12367250668687167451459556850828003081820800118794114651624800657487647709899677247980332506630515412174808202082828947784622456084670119857<140>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3827434088
Step 1 took 84489ms
Step 2 took 30179ms
********** Factor found in step 2: 41104821825281428856457072612915653145620879
Found probable prime factor of 44 digits: 41104821825281428856457072612915653145620879

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

31×10231+419

c194

composite cofactor 合成数の残り
36075060834500289950322150074428461303548081784990415851442743825840592682939266912031378449306974834046287500112147595998828312310002527206457135813175901707773738968102844276394138036440931701<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 16, 2013 10:59:50 UTC 2013 年 8 月 16 日 (金) 19 時 59 分 50 秒 (日本時間)
4511e6400 / 4143Dmitry DomanovAugust 16, 2013 10:59:50 UTC 2013 年 8 月 16 日 (金) 19 時 59 分 50 秒 (日本時間)

31×10232+419

c151

name 名前Serge Batalov
date 日付November 8, 2013 18:07:08 UTC 2013 年 11 月 9 日 (土) 3 時 7 分 8 秒 (日本時間)
composite number 合成数
8040908627507672585906364127041523629447806199719463489142165990788987536755174114265721114945251325213284898188193667490752642606768840055752014748967<151>
prime factors 素因数
121944510541295646362283216253322733683689<42>
65939078289093429321896821665342939446620353001263147812262387646447077276658426062194848397493642424022761103<110>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1316408582
Step 1 took 35994ms
Step 2 took 16073ms
********** Factor found in step 2: 121944510541295646362283216253322733683689
Found probable prime factor of 42 digits: 121944510541295646362283216253322733683689
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 29, 2013 19:28:38 UTC 2013 年 5 月 30 日 (木) 4 時 28 分 38 秒 (日本時間)
403e61610110Ignacio SantosMay 29, 2013 19:28:38 UTC 2013 年 5 月 30 日 (木) 4 時 28 分 38 秒 (日本時間)
1500Dmitry DomanovAugust 16, 2013 11:00:02 UTC 2013 年 8 月 16 日 (金) 20 時 0 分 2 秒 (日本時間)
4511e61282 / 410532Ignacio SantosMay 29, 2013 19:28:38 UTC 2013 年 5 月 30 日 (木) 4 時 28 分 38 秒 (日本時間)
400Dmitry DomanovAugust 16, 2013 11:00:02 UTC 2013 年 8 月 16 日 (金) 20 時 0 分 2 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:17 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 17 秒 (日本時間)

31×10233+419

c209

composite cofactor 合成数の残り
63651560469503163932340324724662068765854661071555204921752891710452611101757889563893844868444376193853814056774836900253760656076939845517835790023114449547903272032682761156079027779895925233446188025878613<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 16, 2013 11:00:14 UTC 2013 年 8 月 16 日 (金) 20 時 0 分 14 秒 (日本時間)
4511e6400 / 4143Dmitry DomanovAugust 16, 2013 11:00:14 UTC 2013 年 8 月 16 日 (金) 20 時 0 分 14 秒 (日本時間)

31×10234+419

c218

composite cofactor 合成数の残り
10825132485325750264958567322727154014247863083382859873027297704616946225547605344123042368839498695208152668637153553932297771317679146401532951714141639729771118564167790033856551688189247825009615808709495859063387<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 16, 2013 11:00:24 UTC 2013 年 8 月 16 日 (金) 20 時 0 分 24 秒 (日本時間)
4511e6400 / 4143Dmitry DomanovAugust 16, 2013 11:00:24 UTC 2013 年 8 月 16 日 (金) 20 時 0 分 24 秒 (日本時間)

31×10235+419

c234

name 名前Ben Meekins
date 日付July 18, 2015 15:42:08 UTC 2015 年 7 月 19 日 (日) 0 時 42 分 8 秒 (日本時間)
composite number 合成数
883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883191<234>
prime factors 素因数
199789735497206487690085637238297797679630984616841<51>
4420601894251129816886974978891882669031359619551041732681321188905681274080532893352644511451705076944998230485330932985695908221858504715077376982754797764007685992363905766001092351<184>
factorization results 素因数分解の結果
prp51 factor: 199789735497206487690085637238297797679630984616841
prp184 factor: 4420601894251129816886974978891882669031359619551041732681321188905681274080532893352644511451705076944998230485330932985695908221858504715077376982754797764007685992363905766001092351
software ソフトウェア
MSieve 1.53
execution environment 実行環境
Phenom II X4 running Ubuntu 14.04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 31, 2013 21:39:29 UTC 2013 年 6 月 1 日 (土) 6 時 39 分 29 秒 (日本時間)
403e61610110Ignacio SantosMay 31, 2013 21:39:29 UTC 2013 年 6 月 1 日 (土) 6 時 39 分 29 秒 (日本時間)
1500Dmitry DomanovAugust 16, 2013 11:00:35 UTC 2013 年 8 月 16 日 (金) 20 時 0 分 35 秒 (日本時間)
4511e6248232Ignacio SantosMay 31, 2013 21:39:29 UTC 2013 年 6 月 1 日 (土) 6 時 39 分 29 秒 (日本時間)
400Dmitry DomanovAugust 16, 2013 11:00:35 UTC 2013 年 8 月 16 日 (金) 20 時 0 分 35 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:48 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 48 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:28 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 28 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:24:44 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 44 秒 (日本時間)
5043e6760 / 6933Serge BatalovFebruary 24, 2014 02:26:41 UTC 2014 年 2 月 24 日 (月) 11 時 26 分 41 秒 (日本時間)

31×10236+419

c220

composite cofactor 合成数の残り
1195656200159152369042902023875408566415087470862460748966599777036500522078072010038213711270045294757620422279578249517448082449700459058381854830738068111612257977409538469414441013280692928058932052120541921243860297<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 16, 2013 11:00:46 UTC 2013 年 8 月 16 日 (金) 20 時 0 分 46 秒 (日本時間)
4511e6400 / 4143Dmitry DomanovAugust 16, 2013 11:00:46 UTC 2013 年 8 月 16 日 (金) 20 時 0 分 46 秒 (日本時間)

31×10237+419

c180

name 名前Dmitry Domanov
date 日付June 10, 2013 07:53:19 UTC 2013 年 6 月 10 日 (月) 16 時 53 分 19 秒 (日本時間)
composite number 合成数
127264313461875492363444823537651313952858822196278184048417183096179368122362477101454611742654009085905345662009998053369544430222541825180887285519973198063281228433566399582107<180>
prime factors 素因数
1400777452965479681435685602357<31>
composite cofactor 合成数の残り
90852628440337805779638412635971510967805927280898542180022257908812493859128947538813009084210423844578392751020471444708958979502513111542128516751<149>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2475815091
Step 1 took 72828ms
Step 2 took 22908ms
********** Factor found in step 2: 1400777452965479681435685602357
Found probable prime factor of 31 digits: 1400777452965479681435685602357

c149

name 名前Serge Batalov
date 日付November 8, 2013 03:13:09 UTC 2013 年 11 月 8 日 (金) 12 時 13 分 9 秒 (日本時間)
composite number 合成数
90852628440337805779638412635971510967805927280898542180022257908812493859128947538813009084210423844578392751020471444708958979502513111542128516751<149>
prime factors 素因数
906429340077535856556232284471204070673<39>
100231341179408736799619702043734711282647801557502433307792357935158565077281767368718480750961929356056963487<111>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4167412800
Step 1 took 33555ms
********** Factor found in step 1: 906429340077535856556232284471204070673
Found probable prime factor of 39 digits: 906429340077535856556232284471204070673
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 10, 2013 21:53:21 UTC 2013 年 6 月 11 日 (火) 6 時 53 分 21 秒 (日本時間)
403e61610110Ignacio SantosJune 10, 2013 21:53:21 UTC 2013 年 6 月 11 日 (火) 6 時 53 分 21 秒 (日本時間)
1500Dmitry DomanovAugust 16, 2013 11:00:58 UTC 2013 年 8 月 16 日 (金) 20 時 0 分 58 秒 (日本時間)
4511e6432 / 410532Ignacio SantosJune 10, 2013 21:53:21 UTC 2013 年 6 月 11 日 (火) 6 時 53 分 21 秒 (日本時間)
400Dmitry DomanovAugust 16, 2013 11:00:58 UTC 2013 年 8 月 16 日 (金) 20 時 0 分 58 秒 (日本時間)

31×10238+419

c208

name 名前Dmitry Domanov
date 日付June 14, 2013 04:47:23 UTC 2013 年 6 月 14 日 (金) 13 時 47 分 23 秒 (日本時間)
composite number 合成数
1263359424402809283558930026349748107303534664761149035738547029994319481899659935513130762527294212058378761319280028772597764459081490058763159399110303697003644496664063373158912520958249144010405972504607<208>
prime factors 素因数
3606936297701900556281785500206756443<37>
composite cofactor 合成数の残り
350258313463350522405049366190652293162148634181044990965751060569235750044676478030024136355550269217686282778052621047842284679375786734788549677794807690630239077342349<171>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3049816881
Step 1 took 81498ms
********** Factor found in step 1: 3606936297701900556281785500206756443
Found probable prime factor of 37 digits: 3606936297701900556281785500206756443

c171

name 名前Dmitry Domanov
date 日付August 14, 2013 10:42:58 UTC 2013 年 8 月 14 日 (水) 19 時 42 分 58 秒 (日本時間)
composite number 合成数
350258313463350522405049366190652293162148634181044990965751060569235750044676478030024136355550269217686282778052621047842284679375786734788549677794807690630239077342349<171>
prime factors 素因数
279826954616147531280976887960026099051<39>
1251696120353441891574532226000237895531602840391065351385743169668483485895119271039365880253994156546800406329816365861123271271399<133>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3702668760
Step 1 took 71317ms
Step 2 took 26972ms
********** Factor found in step 2: 279826954616147531280976887960026099051
Found probable prime factor of 39 digits: 279826954616147531280976887960026099051

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

31×10239+419

c182

composite cofactor 合成数の残り
11847351066557494016036088208484270591446808395810521885427248330957925841798892826596088022882633101189781320030182005941445206058245824497926497283997473951060823319355462441417237<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 16, 2013 11:01:09 UTC 2013 年 8 月 16 日 (金) 20 時 1 分 9 秒 (日本時間)
4511e6400 / 4143Dmitry DomanovAugust 16, 2013 11:01:09 UTC 2013 年 8 月 16 日 (金) 20 時 1 分 9 秒 (日本時間)

31×10242+419

c220

composite cofactor 合成数の残り
2783505839490924904788320158015376882864700597994945960976203187344681763759727656193924207816196104618322723125252659399474403507441389664152027136143258671017757173494726505239466514537302841139192147201257709627815889<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 16, 2013 11:01:23 UTC 2013 年 8 月 16 日 (金) 20 時 1 分 23 秒 (日本時間)
4511e6400 / 4143Dmitry DomanovAugust 16, 2013 11:01:23 UTC 2013 年 8 月 16 日 (金) 20 時 1 分 23 秒 (日本時間)

31×10243+419

c244

name 名前NFS@Home + Sean Wellman
date 日付February 9, 2019 17:40:21 UTC 2019 年 2 月 10 日 (日) 2 時 40 分 21 秒 (日本時間)
composite number 合成数
3444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449<244>
prime factors 素因数
24543310879344243726934368277002410485358255103494262316185905267354843063701132416657702719152919063918464644709<113>
140341474765872103352237175236818954287733451600868013460914891028258754826925077382319635822554879028953766654395798281139331150861<132>
factorization results 素因数分解の結果
p113 factor: 24543310879344243726934368277002410485358255103494262316185905267354843063701132416657702719152919063918464644709
p132 factor: 140341474765872103352237175236818954287733451600868013460914891028258754826925077382319635822554879028953766654395798281139331150861
software ソフトウェア
ggnfs-lasieve4I14e on the NFS@Home grid + msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 16, 2013 11:02:18 UTC 2013 年 8 月 16 日 (金) 20 時 2 分 18 秒 (日本時間)
4511e61250400Dmitry DomanovAugust 16, 2013 11:02:18 UTC 2013 年 8 月 16 日 (金) 20 時 2 分 18 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:17:40 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 40 秒 (日本時間)
5043e61775500Dmitry DomanovAugust 16, 2013 11:02:18 UTC 2013 年 8 月 16 日 (金) 20 時 2 分 18 秒 (日本時間)
775Serge BatalovNovember 25, 2013 02:17:45 UTC 2013 年 11 月 25 日 (月) 11 時 17 分 45 秒 (日本時間)
500Serge BatalovJanuary 11, 2015 01:24:53 UTC 2015 年 1 月 11 日 (日) 10 時 24 分 53 秒 (日本時間)
5511e717200yoyo@homeJanuary 20, 2019 12:32:51 UTC 2019 年 1 月 20 日 (日) 21 時 32 分 51 秒 (日本時間)

31×10244+419

c205

name 名前Dmitry Domanov
date 日付June 10, 2013 07:56:18 UTC 2013 年 6 月 10 日 (月) 16 時 56 分 18 秒 (日本時間)
composite number 合成数
3278175536647657772450536992479687023975302740435066775177306721789772688427820373423352933050666171299992682527236497985986945365377237554218177640310755923912361771680855651354587680172427173914206958291<205>
prime factors 素因数
144004988617619846098723401614011<33>
composite cofactor 合成数の残り
22764319265024086606251141822710013080828978901295737783915244748088984563958156942569397262321270522029302911832023923240887408761352645917350566586524912279105133911329481<173>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3861133931
Step 1 took 81798ms
Step 2 took 26218ms
********** Factor found in step 2: 144004988617619846098723401614011
Found probable prime factor of 33 digits: 144004988617619846098723401614011

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 16, 2013 11:01:34 UTC 2013 年 8 月 16 日 (金) 20 時 1 分 34 秒 (日本時間)
4511e6400 / 4143Dmitry DomanovAugust 16, 2013 11:01:34 UTC 2013 年 8 月 16 日 (金) 20 時 1 分 34 秒 (日本時間)

31×10246+419

c243

name 名前Dmitry Domanov
date 日付August 19, 2013 07:51:15 UTC 2013 年 8 月 19 日 (月) 16 時 51 分 15 秒 (日本時間)
composite number 合成数
689854685448516812426285688853283485768965440505596724302912967042748737120858090215190155106037341166522019716491977657609542248036139484166722300109041547054765560673832254044551260653804214789594320938202372209982864899748536840465540645793<243>
prime factors 素因数
6654759195700774676469758221445066612700181<43>
103663358081264450051241695978005788944752187911889662515862918798295387450930681408273214097303287971220899838497010737633964542209867449288922402677565075754588267051635501844580825010021018577500253<201>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=206748630
Step 1 took 535072ms
Step 2 took 109265ms
********** Factor found in step 2: 6654759195700774676469758221445066612700181
Found probable prime factor of 43 digits: 6654759195700774676469758221445066612700181

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 16, 2013 11:01:48 UTC 2013 年 8 月 16 日 (金) 20 時 1 分 48 秒 (日本時間)
4511e6400 / 2389Dmitry DomanovAugust 16, 2013 11:01:48 UTC 2013 年 8 月 16 日 (金) 20 時 1 分 48 秒 (日本時間)
5043e6500 / 7406Dmitry DomanovAugust 16, 2013 11:01:48 UTC 2013 年 8 月 16 日 (金) 20 時 1 分 48 秒 (日本時間)

31×10249+419

c224

composite cofactor 合成数の残り
46712000773410939546224991309383478100149886847226424083396502248014805664795849930810213452863720474565810212639580822584722030922548057851105341504854438850723092715331347814676692936585617584704543579279974777990909397257<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovAugust 16, 2013 11:02:37 UTC 2013 年 8 月 16 日 (金) 20 時 2 分 37 秒 (日本時間)
4511e6400 / 4143Dmitry DomanovAugust 16, 2013 11:02:37 UTC 2013 年 8 月 16 日 (金) 20 時 2 分 37 秒 (日本時間)

31×10250+419

c213

name 名前Dmitry Domanov
date 日付June 10, 2013 07:54:52 UTC 2013 年 6 月 10 日 (月) 16 時 54 分 52 秒 (日本時間)
composite number 合成数
144413980952190507172582468971752638538495630219813737330727555237839167534097296650607611068918573501865369087169308474188330703245603743764429648868730202061890054676712376040712792050383600026901255112157374961<213>
prime factors 素因数
316695990038864467731531393831043<33>
456001924541160862474881065090759709700018076605163513601017331168292594317242732856223087789239872652692118176540268753501865796872453795304775993312926869991859784242514145077627<180>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3056641116
Step 1 took 100968ms
Step 2 took 28873ms
********** Factor found in step 2: 316695990038864467731531393831043
Found probable prime factor of 33 digits: 316695990038864467731531393831043

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 29, 2013 13:00:00 UTC 2013 年 5 月 29 日 (水) 22 時 0 分 0 秒 (日本時間)

31×10251+419

c229

name 名前Erik Branger
date 日付March 9, 2017 17:41:15 UTC 2017 年 3 月 10 日 (金) 2 時 41 分 15 秒 (日本時間)
composite number 合成数
4457103599049237641026361421237744621039308867471538020992415420298805582555747192098933241034818199943906377879574311337180159157627441067452198591317502698172542159349660774160275309701119060458182947696638916416611768781785833<229>
prime factors 素因数
713678414552984456167034119088788600661<39>
composite cofactor 合成数の残り
6245254876933560679727576535279715369832857421764494283921776070400155697547399727823439753707528672307001614815150118753813339299505182734136624455563796701867340533887736407101866558102853<190>
factorization results 素因数分解の結果
Wed 2017/03/08 20:22:59 UTC GMP-ECM 7.0-dev [configured with GMP 6.1.0, --enable-asm-redc] [ECM]
Wed 2017/03/08 20:22:59 UTC Input number is 4457103599049237641026361421237744621039308867471538020992415420298805582555747192098933241034818199943906377879574311337180159157627441067452198591317502698172542159349660774160275309701119060458182947696638916416611768781785833 (229 digits)
Wed 2017/03/08 20:22:59 UTC Run 456 out of 650:
Wed 2017/03/08 20:22:59 UTC Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2994988885
Wed 2017/03/08 20:22:59 UTC Step 1 took 77797ms
Wed 2017/03/08 20:22:59 UTC Step 2 took 30515ms
Wed 2017/03/08 20:22:59 UTC ********** Factor found in step 2: 713678414552984456167034119088788600661
Wed 2017/03/08 20:22:59 UTC Found prime factor of 39 digits: 713678414552984456167034119088788600661
Wed 2017/03/08 20:22:59 UTC Composite cofactor 6245254876933560679727576535279715369832857421764494283921776070400155697547399727823439753707528672307001614815150118753813339299505182734136624455563796701867340533887736407101866558102853 has 190 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 12, 2017 18:05:50 UTC 2017 年 3 月 13 日 (月) 3 時 5 分 50 秒 (日本時間)
4511e61150 / 4218150Erik BrangerMarch 9, 2017 17:40:57 UTC 2017 年 3 月 10 日 (金) 2 時 40 分 57 秒 (日本時間)
1000Lionel DebrouxJuly 16, 2020 07:03:27 UTC 2020 年 7 月 16 日 (木) 16 時 3 分 27 秒 (日本時間)

31×10252+419

c231

composite cofactor 合成数の残り
100369063207703651049091619808521306458271479780491531383492547184443614716748041455694057125681918457816243161471223475919725620227494468524054145384294414682486484520297296189450522613462501749169596746247319704478291200199736119<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e60--
4511e6650 / 4439Erik BrangerMarch 9, 2017 17:41:54 UTC 2017 年 3 月 10 日 (金) 2 時 41 分 54 秒 (日本時間)

31×10254+419

c237

composite cofactor 合成数の残り
452330950262571439512845233800677663710943175461908783544193569039127067609049936171948614881771900308009600367504684702207137118053509819047319306659298179349286686270030658740970313347547702799352294568388992179651177738401233510668701<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e60--
4511e6650 / 4439Erik BrangerMarch 9, 2017 17:42:01 UTC 2017 年 3 月 10 日 (金) 2 時 42 分 1 秒 (日本時間)

31×10255+419

c250

composite cofactor 合成数の残り
2617102460658829373446253706471359908067100143256811790063469800030577887459697677389104293305933114796835602318955394527773831018421784220577499959688179839851902392884317908384698190256763922415237749828811951141905120580463195054925804723127022081<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e60--
4511e6650 / 4439Erik BrangerMarch 9, 2017 17:42:10 UTC 2017 年 3 月 10 日 (金) 2 時 42 分 10 秒 (日本時間)

31×10257+419

c257

composite cofactor 合成数の残り
49206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349207<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 12, 2017 18:06:36 UTC 2017 年 3 月 13 日 (月) 3 時 6 分 36 秒 (日本時間)
4511e6650 / 4218Erik BrangerMarch 12, 2017 21:02:22 UTC 2017 年 3 月 13 日 (月) 6 時 2 分 22 秒 (日本時間)

31×10261+419

c252

composite cofactor 合成数の残り
365791565054352613892606791701162550236192114454045049153954906729128004311711103991856197084267927964862166948064860884198464337813937447348343404784414394002578559210689738838136302184700667703949666310079089973572148349242761153967526396525644617141<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 12, 2017 18:06:56 UTC 2017 年 3 月 13 日 (月) 3 時 6 分 56 秒 (日本時間)
2350Ignacio SantosFebruary 10, 2022 17:25:11 UTC 2022 年 2 月 11 日 (金) 2 時 25 分 11 秒 (日本時間)

31×10262+419

c254

composite cofactor 合成数の残り
73115880087785821965677844980682299793279307127428753782002332194208912898945752715023945076894330698175927831007353148726024223575517442752074330007485587293350073275402428099931451763284369239346481876676351221129387229613734142955473910920327439449739<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 12, 2017 18:07:10 UTC 2017 年 3 月 13 日 (月) 3 時 7 分 10 秒 (日本時間)
4511e6650 / 4218Erik BrangerMarch 12, 2017 21:02:42 UTC 2017 年 3 月 13 日 (月) 6 時 2 分 42 秒 (日本時間)

31×10263+419

c216

composite cofactor 合成数の残り
237577138522391057283943319091728093353826218042678427413769561169740140738869208726603745173890534048772804575821865375184666562596907066216854828511995557090468874247567728217125264699072624708927314717073317023389<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 12, 2017 18:07:25 UTC 2017 年 3 月 13 日 (月) 3 時 7 分 25 秒 (日本時間)
4511e6650 / 4218Erik BrangerMarch 12, 2017 21:03:40 UTC 2017 年 3 月 13 日 (月) 6 時 3 分 40 秒 (日本時間)

31×10264+419

c257

composite cofactor 合成数の残り
22396757552918334463795221295884382596968873261616329184629489359700377102226402642042318937822473527424515707704734647164844637337747078238760051577189528674592897949021767681039152214756075248183870952362517888479907479023447936364095654797336664577923383<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 12, 2017 18:07:39 UTC 2017 年 3 月 13 日 (月) 3 時 7 分 39 秒 (日本時間)
4511e6650 / 4218Erik BrangerMarch 12, 2017 21:03:56 UTC 2017 年 3 月 13 日 (月) 6 時 3 分 56 秒 (日本時間)

31×10265+419

c217

composite cofactor 合成数の残り
4379598734736913973305909036084589795752995876106452574301747350637581756741338351538581736637838233158672367270853977452737754151447621249337678487970269572846830195733826345818057116824140272260330502827399013094697<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 12, 2017 18:07:54 UTC 2017 年 3 月 13 日 (月) 3 時 7 分 54 秒 (日本時間)
4511e6650 / 4218Erik BrangerMarch 12, 2017 21:04:12 UTC 2017 年 3 月 13 日 (月) 6 時 4 分 12 秒 (日本時間)

31×10269+419

c269

name 名前Erik Branger
date 日付March 12, 2017 21:05:00 UTC 2017 年 3 月 13 日 (月) 6 時 5 分 0 秒 (日本時間)
composite number 合成数
49206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349207<269>
prime factors 素因数
61669889115370032991128487443681824047<38>
composite cofactor 合成数の残り
797899102985179047658321808847557222756523191747350631741414662467379437579176272152517333035122793678415548532140150299126129299671169401626986900410237988804721165081373004484501549934785992614348266078317979253856203384122336281<231>
factorization results 素因数分解の結果
at 2017/03/11 02:15:36 UTC GMP-ECM 7.0-dev [configured with GMP 6.1.0, --enable-asm-redc] [ECM]
Sat 2017/03/11 02:15:36 UTC Input number is 49206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349207 (269 digits)
Sat 2017/03/11 02:15:36 UTC Run 307 out of 650:
Sat 2017/03/11 02:15:36 UTC Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:356110431
Sat 2017/03/11 02:15:36 UTC Step 1 took 100250ms
Sat 2017/03/11 02:15:36 UTC Step 2 took 35610ms
Sat 2017/03/11 02:15:36 UTC ********** Factor found in step 2: 61669889115370032991128487443681824047
Sat 2017/03/11 02:15:36 UTC Found prime factor of 38 digits: 61669889115370032991128487443681824047
Sat 2017/03/11 02:15:36 UTC Composite cofactor 797899102985179047658321808847557222756523191747350631741414662467379437579176272152517333035122793678415548532140150299126129299671169401626986900410237988804721165081373004484501549934785992614348266078317979253856203384122336281 has 231 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosFebruary 10, 2022 17:26:03 UTC 2022 年 2 月 11 日 (金) 2 時 26 分 3 秒 (日本時間)
4511e6300 / 3919Erik BrangerMarch 12, 2017 21:04:43 UTC 2017 年 3 月 13 日 (月) 6 時 4 分 43 秒 (日本時間)

31×10271+419

c246

name 名前Erik Branger
date 日付March 12, 2017 21:05:48 UTC 2017 年 3 月 13 日 (月) 6 時 5 分 48 秒 (日本時間)
composite number 合成数
249511635200707142501813623145455534587591131624060605390896985478326739492371956320048797675648500148848954502123707583487815916029852818155363894348168923791858816765600910062761834725486255835291611964406655746653454723011702098701890326066177<246>
prime factors 素因数
5216155084049916753036342951579643<34>
composite cofactor 合成数の残り
47834397401961794259424210662013771509222970032157428349541925940063510897509632387027799756567214983754495382249843833093261661272631735810568444824303502629775226774096116723868527657109451909722932030485970739<212>
factorization results 素因数分解の結果
Sat 2017/03/11 03:29:38 UTC GMP-ECM 7.0-dev [configured with GMP 6.1.0, --enable-asm-redc] [ECM]
Sat 2017/03/11 03:29:38 UTC Input number is 249511635200707142501813623145455534587591131624060605390896985478326739492371956320048797675648500148848954502123707583487815916029852818155363894348168923791858816765600910062761834725486255835291611964406655746653454723011702098701890326066177 (246 digits)
Sat 2017/03/11 03:29:38 UTC Run 143 out of 650:
Sat 2017/03/11 03:29:38 UTC Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4195957806
Sat 2017/03/11 03:29:38 UTC Step 1 took 88891ms
Sat 2017/03/11 03:29:38 UTC Step 2 took 32250ms
Sat 2017/03/11 03:29:38 UTC ********** Factor found in step 2: 5216155084049916753036342951579643
Sat 2017/03/11 03:29:38 UTC Found prime factor of 34 digits: 5216155084049916753036342951579643
Sat 2017/03/11 03:29:38 UTC Composite cofactor 47834397401961794259424210662013771509222970032157428349541925940063510897509632387027799756567214983754495382249843833093261661272631735810568444824303502629775226774096116723868527657109451909722932030485970739 has 212 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 12, 2017 18:08:11 UTC 2017 年 3 月 13 日 (月) 3 時 8 分 11 秒 (日本時間)
2350Ignacio SantosFebruary 10, 2022 17:58:24 UTC 2022 年 2 月 11 日 (金) 2 時 58 分 24 秒 (日本時間)
4511e6100 / 3698Erik BrangerMarch 12, 2017 21:05:36 UTC 2017 年 3 月 13 日 (月) 6 時 5 分 36 秒 (日本時間)

31×10272+419

c192

composite cofactor 合成数の残り
530003206359426354586120963335450301693240979942322864064419816561183138950061630412351419837340178696960275510286787026576793886008863545800731085340997905503634375881180926071540763695481699<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 12, 2017 18:08:34 UTC 2017 年 3 月 13 日 (月) 3 時 8 分 34 秒 (日本時間)
4511e6650 / 4218Erik BrangerMarch 12, 2017 21:06:19 UTC 2017 年 3 月 13 日 (月) 6 時 6 分 19 秒 (日本時間)

31×10273+419

c244

composite cofactor 合成数の残り
2303800427928247060155904682978404323920348476898344250229720734117132577879412290893412197810257641262269059029549491873851736056499597638580938666236805106416174020976962812254699512529294283365083341153859383579594886350706613805100151133769<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 12, 2017 18:08:55 UTC 2017 年 3 月 13 日 (月) 3 時 8 分 55 秒 (日本時間)
4511e6650 / 4218Erik BrangerMarch 12, 2017 21:06:26 UTC 2017 年 3 月 13 日 (月) 6 時 6 分 26 秒 (日本時間)

31×10274+419

c208

composite cofactor 合成数の残り
7078844423320917964784058926662726762893685351293643465891709284022562430804034518137410846712425625650246783880484286858056863508876490547919663881973049958002174916980376063023672753377991247123592195178387<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 12, 2017 18:11:03 UTC 2017 年 3 月 13 日 (月) 3 時 11 分 3 秒 (日本時間)
4511e6650 / 4218Erik BrangerMarch 12, 2017 21:06:34 UTC 2017 年 3 月 13 日 (月) 6 時 6 分 34 秒 (日本時間)

31×10275+419

c239

composite cofactor 合成数の残り
42985659271293438294080988652534564943459062855037151918612133928771221509169584155050799251320499787512726826847058141953098113818405895513106231742800186332493243240676924646658434819462318681780621829185189585778718377082264067689430849<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 12, 2017 18:11:18 UTC 2017 年 3 月 13 日 (月) 3 時 11 分 18 秒 (日本時間)
4511e6650 / 4218Erik BrangerMarch 12, 2017 21:06:42 UTC 2017 年 3 月 13 日 (月) 6 時 6 分 42 秒 (日本時間)

31×10278+419

c242

name 名前Erik Branger
date 日付March 12, 2017 21:07:23 UTC 2017 年 3 月 13 日 (月) 6 時 7 分 23 秒 (日本時間)
composite number 合成数
14110279148450610870892215871194675760524550476193070913981226986125244427079939581039168254899818682483043924064860741331668931235029214300070997418134105058108664013908496482379285897693139344903005864816084504038371966226757059628196538159<242>
prime factors 素因数
24981486608360585174999396200350134113<38>
composite cofactor 合成数の残り
564829442285004216255130010548652753371727719885616896136130599313911344555228001713710687659965047975769276499377618477837999411434653110493724669993299750766707236508795267302219902414759387721182720143<204>
factorization results 素因数分解の結果
Sat 2017/03/11 23:18:51 UTC GMP-ECM 7.0-dev [configured with GMP 6.1.0, --enable-asm-redc] [ECM]
Sat 2017/03/11 23:18:51 UTC Input number is 14110279148450610870892215871194675760524550476193070913981226986125244427079939581039168254899818682483043924064860741331668931235029214300070997418134105058108664013908496482379285897693139344903005864816084504038371966226757059628196538159 (242 digits)
Sat 2017/03/11 23:18:51 UTC Run 60 out of 650:
Sat 2017/03/11 23:18:51 UTC Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3367704448
Sat 2017/03/11 23:18:51 UTC Step 1 took 88579ms
Sat 2017/03/11 23:18:51 UTC Step 2 took 32781ms
Sat 2017/03/11 23:18:51 UTC ********** Factor found in step 2: 24981486608360585174999396200350134113
Sat 2017/03/11 23:18:51 UTC Found prime factor of 38 digits: 24981486608360585174999396200350134113
Sat 2017/03/11 23:18:51 UTC Composite cofactor 564829442285004216255130010548652753371727719885616896136130599313911344555228001713710687659965047975769276499377618477837999411434653110493724669993299750766707236508795267302219902414759387721182720143 has 204 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 12, 2017 18:11:33 UTC 2017 年 3 月 13 日 (月) 3 時 11 分 33 秒 (日本時間)
2350Ignacio SantosFebruary 10, 2022 17:59:07 UTC 2022 年 2 月 11 日 (金) 2 時 59 分 7 秒 (日本時間)

31×10279+419

c261

composite cofactor 合成数の残り
543422764946736962745764634665792231224136633457016483220722357902080197057634408411528077229257111306828973239538197315678940417790145253968964421649853241234629293600870547087628645402610798133518015807834853258638702563764240888443800664681472196276045780179<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e60--
4511e6650 / 4439Erik BrangerMarch 12, 2017 21:07:45 UTC 2017 年 3 月 13 日 (月) 6 時 7 分 45 秒 (日本時間)

31×10282+419

c201

composite cofactor 合成数の残り
710245040324801145311474849083258232401659388272923447228032406216464686280804259901863171798964143617328830450371987914378040492785061759323739228368142897868716831892553920978611823287600488140974461<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 12, 2017 18:11:49 UTC 2017 年 3 月 13 日 (月) 3 時 11 分 49 秒 (日本時間)
4511e6650 / 4218Erik BrangerMarch 12, 2017 21:07:52 UTC 2017 年 3 月 13 日 (月) 6 時 7 分 52 秒 (日本時間)

31×10283+419

c186

composite cofactor 合成数の残り
233201458580801168567569016983636430827432327618493941178555807208209723486346321022735882603734054964835650857759949456842380793283011078801223063621162106378768235558570319370707051087<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMarch 9, 2017 14:04:51 UTC 2017 年 3 月 9 日 (木) 23 時 4 分 51 秒 (日本時間)
4511e62000Dmitry DomanovMarch 10, 2017 16:39:07 UTC 2017 年 3 月 11 日 (土) 1 時 39 分 7 秒 (日本時間)
5043e6640 / 7054Dmitry DomanovMarch 11, 2017 17:12:53 UTC 2017 年 3 月 12 日 (日) 2 時 12 分 53 秒 (日本時間)

31×10284+419

c216

name 名前Erik Branger
date 日付March 12, 2017 21:08:30 UTC 2017 年 3 月 13 日 (月) 6 時 8 分 30 秒 (日本時間)
composite number 合成数
915401121242936015669891491804414237503049806112307531877939728903614711845632335822625217258758123081244020137078788629143564538140349075210476036972805655426404904305059571627368759862064225992187695978919979591807<216>
prime factors 素因数
289963126431880238195203801012259099<36>
composite cofactor 合成数の残り
3156956998316774510372837238513470113895756658802233165103098709517808719461235971276837533793967209447412256365460334355470663111992515775502470844316253384504245941547415414544493<181>
factorization results 素因数分解の結果
Sun 2017/03/12 14:22:00 UTC GMP-ECM 7.0-dev [configured with GMP 6.1.0, --enable-asm-redc] [ECM]
Sun 2017/03/12 14:22:00 UTC Input number is 915401121242936015669891491804414237503049806112307531877939728903614711845632335822625217258758123081244020137078788629143564538140349075210476036972805655426404904305059571627368759862064225992187695978919979591807 (216 digits)
Sun 2017/03/12 14:22:00 UTC Run 97 out of 650:
Sun 2017/03/12 14:22:00 UTC Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4123757546
Sun 2017/03/12 14:22:00 UTC Step 1 took 84891ms
Sun 2017/03/12 14:22:00 UTC Step 2 took 32219ms
Sun 2017/03/12 14:22:00 UTC ********** Factor found in step 2: 289963126431880238195203801012259099
Sun 2017/03/12 14:22:00 UTC Found prime factor of 36 digits: 289963126431880238195203801012259099
Sun 2017/03/12 14:22:00 UTC Composite cofactor 3156956998316774510372837238513470113895756658802233165103098709517808719461235971276837533793967209447412256365460334355470663111992515775502470844316253384504245941547415414544493 has 181 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 12, 2017 18:12:13 UTC 2017 年 3 月 13 日 (月) 3 時 12 分 13 秒 (日本時間)
4511e61600Dmitry DomanovMarch 14, 2017 06:54:10 UTC 2017 年 3 月 14 日 (火) 15 時 54 分 10 秒 (日本時間)
5043e6800 / 7151Dmitry DomanovMarch 18, 2017 19:58:08 UTC 2017 年 3 月 19 日 (日) 4 時 58 分 8 秒 (日本時間)

31×10285+419

c257

composite cofactor 合成数の残り
12385084870018489082342022393799158471427531159611667871302373181096484050080123889066218866835194101913564507660467840156502875606257974015056105188822538755798265246786773829512710496374540718943979867728286268451909391444305734440669058571914018809115879<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e60--
4511e6650 / 4439Erik BrangerMarch 12, 2017 21:09:04 UTC 2017 年 3 月 13 日 (月) 6 時 9 分 4 秒 (日本時間)

31×10287+419

c273

name 名前Erik Branger
date 日付March 13, 2017 07:35:16 UTC 2017 年 3 月 13 日 (月) 16 時 35 分 16 秒 (日本時間)
composite number 合成数
201643298103304491514919925703209771532028689803198955019502454265384047068174324297441250629676889252534358569371361944521311227505424763510092371480360586117110524909002817519873453081994276029375485718048597163794759957581300854416301523548058785243982548596352096572957<273>
prime factors 素因数
74791995191335509681033284843392956977<38>
composite cofactor 合成数の残り
2696054538824021503921143313950243567153455174488284196438692360374350501567678150670560128285392098482438505266711376604890653951712742098551121138309786341310547375051930395051109528341029088005036833646140019911578534571771728589741<235>
factorization results 素因数分解の結果
n 2017/03/12 23:04:05 UTC GMP-ECM 7.0-dev [configured with GMP 6.1.0, --enable-asm-redc] [ECM]
Sun 2017/03/12 23:04:05 UTC Input number is 201643298103304491514919925703209771532028689803198955019502454265384047068174324297441250629676889252534358569371361944521311227505424763510092371480360586117110524909002817519873453081994276029375485718048597163794759957581300854416301523548058785243982548596352096572957 (273 digits)
Sun 2017/03/12 23:04:05 UTC Run 179 out of 650:
Sun 2017/03/12 23:04:05 UTC Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3698428601
Sun 2017/03/12 23:04:05 UTC Step 1 took 117906ms
Sun 2017/03/12 23:04:05 UTC Step 2 took 37578ms
Sun 2017/03/12 23:04:05 UTC ********** Factor found in step 2: 74791995191335509681033284843392956977
Sun 2017/03/12 23:04:05 UTC Found prime factor of 38 digits: 74791995191335509681033284843392956977
Sun 2017/03/12 23:04:05 UTC Composite cofactor 2696054538824021503921143313950243567153455174488284196438692360374350501567678150670560128285392098482438505266711376604890653951712742098551121138309786341310547375051930395051109528341029088005036833646140019911578534571771728589741 has 235 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 13, 2017 06:55:14 UTC 2017 年 3 月 13 日 (月) 15 時 55 分 14 秒 (日本時間)
2350Ignacio SantosFebruary 10, 2022 18:16:22 UTC 2022 年 2 月 11 日 (金) 3 時 16 分 22 秒 (日本時間)
4511e6150 / 3698Erik BrangerMarch 13, 2017 07:35:04 UTC 2017 年 3 月 13 日 (月) 16 時 35 分 4 秒 (日本時間)

31×10288+419

c200

name 名前Erik Branger
date 日付March 13, 2017 07:35:59 UTC 2017 年 3 月 13 日 (月) 16 時 35 分 59 秒 (日本時間)
composite number 合成数
64102056303278657668536158744906597066972299046129073489452847655880717942043680022282931760213400245725735127437314195276145848951447386519892858901371404853910314752307433473084962975113755249133247<200>
prime factors 素因数
2434831731545892976125567969479094756413<40>
composite cofactor 合成数の残り
26327099106179210207077430813471564778416132982288862267440097165062197245340741126362146285647621756192341885878807291440217292821820433444590455208282528987819<161>
factorization results 素因数分解の結果
Mon 2017/03/13 03:19:08 UTC GMP-ECM 7.0-dev [configured with GMP 6.1.0, --enable-asm-redc] [ECM]
Mon 2017/03/13 03:19:08 UTC Input number is 64102056303278657668536158744906597066972299046129073489452847655880717942043680022282931760213400245725735127437314195276145848951447386519892858901371404853910314752307433473084962975113755249133247 (200 digits)
Mon 2017/03/13 03:19:08 UTC Run 643 out of 650:
Mon 2017/03/13 03:19:08 UTC Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3937819258
Mon 2017/03/13 03:19:08 UTC Step 1 took 49719ms
Mon 2017/03/13 03:19:08 UTC ********** Factor found in step 2: 2434831731545892976125567969479094756413
Mon 2017/03/13 03:19:08 UTC Found prime factor of 40 digits: 2434831731545892976125567969479094756413
Mon 2017/03/13 03:19:08 UTC Composite cofactor 26327099106179210207077430813471564778416132982288862267440097165062197245340741126362146285647621756192341885878807291440217292821820433444590455208282528987819 has 161 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 12, 2017 18:12:35 UTC 2017 年 3 月 13 日 (月) 3 時 12 分 35 秒 (日本時間)
4511e62200600Erik BrangerMarch 13, 2017 07:35:44 UTC 2017 年 3 月 13 日 (月) 16 時 35 分 44 秒 (日本時間)
1600Dmitry DomanovMarch 13, 2017 16:46:15 UTC 2017 年 3 月 14 日 (火) 1 時 46 分 15 秒 (日本時間)
5043e6600 / 7017Dmitry DomanovMarch 13, 2017 23:32:35 UTC 2017 年 3 月 14 日 (火) 8 時 32 分 35 秒 (日本時間)

31×10289+419

c241

name 名前Erik Branger
date 日付March 13, 2017 07:36:29 UTC 2017 年 3 月 13 日 (月) 16 時 36 分 29 秒 (日本時間)
composite number 合成数
2352922055397851852352719470646493525134085757717017646158876648251238162490199350719318594665843156642784674708377647916609085568709710960763207065649722367537421622461596625710734514609183223494100076782717013705478950022985477478721959593<241>
prime factors 素因数
204384415137190298247256285226077894159<39>
composite cofactor 合成数の残り
11512238121573430493516969382329499523730419250764174556293921968186553695800249155293800326123516083802036250456539648645918840945951458523799700860136867571900338100642552390523009117353696710268534727<203>
factorization results 素因数分解の結果
Mon 2017/03/13 04:23:09 UTC GMP-ECM 7.0-dev [configured with GMP 6.1.0, --enable-asm-redc] [ECM]
Mon 2017/03/13 04:23:09 UTC Input number is 2352922055397851852352719470646493525134085757717017646158876648251238162490199350719318594665843156642784674708377647916609085568709710960763207065649722367537421622461596625710734514609183223494100076782717013705478950022985477478721959593 (241 digits)
Mon 2017/03/13 04:23:09 UTC Run 123 out of 650:
Mon 2017/03/13 04:23:09 UTC Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4027410326
Mon 2017/03/13 04:23:09 UTC Step 1 took 89782ms
Mon 2017/03/13 04:23:09 UTC Step 2 took 32828ms
Mon 2017/03/13 04:23:09 UTC ********** Factor found in step 2: 204384415137190298247256285226077894159
Mon 2017/03/13 04:23:09 UTC Found prime factor of 39 digits: 204384415137190298247256285226077894159
Mon 2017/03/13 04:23:09 UTC Composite cofactor 11512238121573430493516969382329499523730419250764174556293921968186553695800249155293800326123516083802036250456539648645918840945951458523799700860136867571900338100642552390523009117353696710268534727 has 203 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 12, 2017 18:12:51 UTC 2017 年 3 月 13 日 (月) 3 時 12 分 51 秒 (日本時間)
2350Ignacio SantosFebruary 10, 2022 18:21:37 UTC 2022 年 2 月 11 日 (金) 3 時 21 分 37 秒 (日本時間)
4511e6100 / 3698Erik BrangerMarch 13, 2017 07:36:14 UTC 2017 年 3 月 13 日 (月) 16 時 36 分 14 秒 (日本時間)

31×10290+419

c277

composite cofactor 合成数の残り
3810463068630309763576294088010778613423298502135104728078580229671408365129365552969881787925201199416481182711644789813917973139528043882983731519059050576243864597935536951534495330558685632280610326377366603019614376218920954227578349001715584015474420193172097229812673299<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 13, 2017 06:55:46 UTC 2017 年 3 月 13 日 (月) 15 時 55 分 46 秒 (日本時間)
4511e6650 / 4218Erik BrangerMarch 13, 2017 17:33:25 UTC 2017 年 3 月 14 日 (火) 2 時 33 分 25 秒 (日本時間)

31×10291+419

c260

composite cofactor 合成数の残り
94561504649517658320881135694329890106537015396632600869219446104743279049633720316892084080925955317251703028814560047571546198223253799763300728265884310335686110608712727103653720911640640157121662703997130730972076190429106626496537600026859315515597907149<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 13, 2017 07:32:11 UTC 2017 年 3 月 13 日 (月) 16 時 32 分 11 秒 (日本時間)
4511e6650 / 4218Erik BrangerMarch 14, 2017 19:36:03 UTC 2017 年 3 月 15 日 (水) 4 時 36 分 3 秒 (日本時間)

31×10292+419

c262

name 名前Dmitry Domanov
date 日付March 13, 2017 09:47:10 UTC 2017 年 3 月 13 日 (月) 18 時 47 分 10 秒 (日本時間)
composite number 合成数
3275453108565576835631240397569044918475767113084135778563155463740286792123537740726220025443652879778051738539451345490631281022198743593808063634915265014709003272709468309541666735085380999816901843867838362186745275836894164685726731861919003392365287668293<262>
prime factors 素因数
2121978556650414215672559213542781476953<40>
composite cofactor 合成数の残り
1543584452491332134196993208350121351124680373034561999580863359605583054864691752725837959321003636232802732274585053784456765124199342690521770019498640853902246586754629407493321632237032285254200419724677583633041656781<223>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=587935249
Step 1 took 33721ms
Step 2 took 9934ms
********** Factor found in step 2: 2121978556650414215672559213542781476953
Found probable prime factor of 40 digits: 2121978556650414215672559213542781476953

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 13, 2017 07:31:48 UTC 2017 年 3 月 13 日 (月) 16 時 31 分 48 秒 (日本時間)
4511e6350 / 4218Erik BrangerMarch 14, 2017 19:36:21 UTC 2017 年 3 月 15 日 (水) 4 時 36 分 21 秒 (日本時間)

31×10293+419

c242

composite cofactor 合成数の残り
38676118834486740025855441861417287207524890969752648227065214260822291971622062204289478467565747195907843988493862579743090545237615858261342388406468336359337179073207668369555480282861274189730277267569514153994071619496325313645274622797<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 12, 2017 18:13:07 UTC 2017 年 3 月 13 日 (月) 3 時 13 分 7 秒 (日本時間)
4511e6650 / 4218Erik BrangerMarch 14, 2017 19:37:21 UTC 2017 年 3 月 15 日 (水) 4 時 37 分 21 秒 (日本時間)

31×10295+419

c269

composite cofactor 合成数の残り
10448948232972304096313279529041492742918390778628886763008895142182926555566656160097965816583286718115914421408621863460973624964924253312987815664703681898242555643241584186367951458713437542017409304810733151467716845338706960714953629654492987835607258120282780119<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 13, 2017 07:30:58 UTC 2017 年 3 月 13 日 (月) 16 時 30 分 58 秒 (日本時間)
4511e6650 / 4218Erik BrangerMarch 14, 2017 19:37:52 UTC 2017 年 3 月 15 日 (水) 4 時 37 分 52 秒 (日本時間)

31×10296+419

c233

composite cofactor 合成数の残り
73798332423204182895195932572123135386145394832945934795467073911851890967478240823547515302122972861860714907213271039584415201127521513815124997112949858226101610043941023121115364620215666966225005611304799168278749162960824335271<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 12, 2017 18:13:23 UTC 2017 年 3 月 13 日 (月) 3 時 13 分 23 秒 (日本時間)
4511e6650 / 4218Erik BrangerMarch 14, 2017 19:38:01 UTC 2017 年 3 月 15 日 (水) 4 時 38 分 1 秒 (日本時間)

31×10297+419

c289

composite cofactor 合成数の残り
1840406878962336531127140861487310952064419105612110478257343694101435035458017764398333230570653168641023434240790156328383142328625953857379404715340411191124705885637875382594178813357559354742740368026328629037904364834891408765794785110493035870300132834875135769435072455895356069697<289>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 13, 2017 09:56:08 UTC 2017 年 3 月 13 日 (月) 18 時 56 分 8 秒 (日本時間)
4511e6650 / 4218Erik BrangerMarch 15, 2017 18:01:24 UTC 2017 年 3 月 16 日 (木) 3 時 1 分 24 秒 (日本時間)

31×10298+419

c277

composite cofactor 合成数の残り
3772366864762428107440456266276750285218591632136759842075016813934383485940418114322890922104840154222910319755737914342840165601109148347763964276559663130290569389294157772796197188685857285554661521993648232413297707309620607125469831805196732482259562077362528334700142473<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 13, 2017 08:59:20 UTC 2017 年 3 月 13 日 (月) 17 時 59 分 20 秒 (日本時間)
4511e6650 / 4218Erik BrangerMarch 15, 2017 18:01:32 UTC 2017 年 3 月 16 日 (木) 3 時 1 分 32 秒 (日本時間)

31×10299+419

c249

composite cofactor 合成数の残り
328431333921006496519125484981377234844179017432353867948590564485070132764594816013997131802051774055455106389115333548815741773533262984452966173596572530545582965000877944613388087631940472836278150859002220176086095985932163770838057829132457377<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMarch 12, 2017 18:13:49 UTC 2017 年 3 月 13 日 (月) 3 時 13 分 49 秒 (日本時間)
4511e6650 / 4218Erik BrangerMarch 15, 2017 18:01:39 UTC 2017 年 3 月 16 日 (木) 3 時 1 分 39 秒 (日本時間)

31×10300+419

c280

name 名前Dmitry Domanov
date 日付March 10, 2017 07:02:06 UTC 2017 年 3 月 10 日 (金) 16 時 2 分 6 秒 (日本時間)
composite number 合成数
3892081074186391171057987426508105156277233228077018269964337596578636861708297866981216359958592155494911491798149298510949402991596869012101997687594897319720682140419797316638960465750202327688070693303158517377678774446316970966854435788034579272211861063053004679805479802443<280>
prime factors 素因数
438229336197753105615107397530537<33>
composite cofactor 合成数の残り
8881379571608758703971801816637776098149412231526566900715023809756660296830066713369823111247179606087419044855786117182535701577465150626666758825393934361636030105262822459076412879677596528677808989339583567317611653390707737536523979112739539<247>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1514697204
Step 1 took 53174ms
Step 2 took 14987ms
********** Factor found in step 2: 438229336197753105615107397530537
Found probable prime factor of 33 digits: 438229336197753105615107397530537

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 7, 2017 21:00:00 UTC 2017 年 3 月 8 日 (水) 6 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMarch 9, 2017 14:02:58 UTC 2017 年 3 月 9 日 (木) 23 時 2 分 58 秒 (日本時間)
4511e621502000Dmitry DomanovMarch 11, 2017 17:07:59 UTC 2017 年 3 月 12 日 (日) 2 時 7 分 59 秒 (日本時間)
150Erik BrangerMarch 15, 2017 18:02:00 UTC 2017 年 3 月 16 日 (木) 3 時 2 分 0 秒 (日本時間)
5043e6600 / 7020Dmitry DomanovMarch 16, 2017 18:06:32 UTC 2017 年 3 月 17 日 (金) 3 時 6 分 32 秒 (日本時間)