Table of contents 目次

47×10118+619

c119

name 名前Ignacio Santos
date 日付March 16, 2009 18:05:58 UTC 2009 年 3 月 17 日 (火) 3 時 5 分 58 秒 (日本時間)
composite number 合成数
52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229<119>
prime factors 素因数
18545033725620385839073282769<29>
18245443874384613460664481658963115751599<41>
154338149112696928687790210316254402187911944002059<51>
factorization results 素因数分解の結果
Number: 52229_118
N=52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229
  ( 119 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=18545033725620385839073282769 (pp29)
 r2=18245443874384613460664481658963115751599 (pp41)
 r3=154338149112696928687790210316254402187911944002059 (pp51)
Version: Msieve-1.39
Total time: 1.87 hours.
Scaled time: 3.26 units (timescale=1.739).
Factorization parameters were as follows:
n: 52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229
m: 500000000000000000000000
deg: 5
c5: 376
c0: 1525
skew: 1.32
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [365000, 815001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 96047 x 96284
Total sieving time: 1.87 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 1.87 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)

47×10119+619

c91

name 名前Ignacio Santos
date 日付March 16, 2009 17:46:27 UTC 2009 年 3 月 17 日 (火) 2 時 46 分 27 秒 (日本時間)
composite number 合成数
1758639140205169286031893103550385204774521808095693803127341596688532507052227630505474749<91>
prime factors 素因数
449984349489798173821454543304923876501<39>
3908222901972372478578448309529138923621476871226249<52>
factorization results 素因数分解の結果
Number: 52229_119
N=1758639140205169286031893103550385204774521808095693803127341596688532507052227630505474749
  ( 91 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=449984349489798173821454543304923876501 (pp39)
 r2=3908222901972372478578448309529138923621476871226249 (pp52)
Version: Msieve-1.39
Total time: 1.57 hours.
Scaled time: 1.89 units (timescale=1.203).
Factorization parameters were as follows:
n: 1758639140205169286031893103550385204774521808095693803127341596688532507052227630505474749
m: 1000000000000000000000000
deg: 5
c5: 47
c0: 610
skew: 1.67
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 725001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 89511 x 89759
Total sieving time: 1.57 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,121,5,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,50000
total time: 1.57 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)

47×10120+619

c97

name 名前Ignacio Santos
date 日付March 16, 2009 17:13:17 UTC 2009 年 3 月 17 日 (火) 2 時 13 分 17 秒 (日本時間)
composite number 合成数
8180874927090955321763329739007171305207975714973516401847502742135482630269011446011380272155299<97>
prime factors 素因数
9009871097094871337526875860959775050975172901<46>
907990229708034753497605253062135272842718763548199<51>
factorization results 素因数分解の結果
Number: 52229_120
N=8180874927090955321763329739007171305207975714973516401847502742135482630269011446011380272155299
  ( 97 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=9009871097094871337526875860959775050975172901 (pp46)
 r2=907990229708034753497605253062135272842718763548199 (pp51)
Version: Msieve-1.39
Total time: 1.40 hours.
Scaled time: 1.69 units (timescale=1.205).
Factorization parameters were as follows:
n: 8180874927090955321763329739007171305207975714973516401847502742135482630269011446011380272155299
m: 1000000000000000000000000
deg: 5
c5: 47
c0: 61
skew: 1.05
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 675001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 84053 x 84301
Total sieving time: 1.40 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,121,5,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,50000
total time: 1.40 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)

47×10124+619

c100

name 名前Ignacio Santos
date 日付March 16, 2009 16:51:47 UTC 2009 年 3 月 17 日 (火) 1 時 51 分 47 秒 (日本時間)
composite number 合成数
6844283865583869028296936434404561653472298359609743449444989938676734020553820586253449788957938601<100>
prime factors 素因数
4060994832987603706866691724669597451559<40>
1685371232188603324955176401904084463066907092390985334424239<61>
factorization results 素因数分解の結果
Number: 52229_124
N=6844283865583869028296936434404561653472298359609743449444989938676734020553820586253449788957938601
  ( 100 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=4060994832987603706866691724669597451559 (pp40)
 r2=1685371232188603324955176401904084463066907092390985334424239 (pp61)
Version: Msieve-1.39
Total time: 1.72 hours.
Scaled time: 2.98 units (timescale=1.739).
Factorization parameters were as follows:
n: 6844283865583869028296936434404561653472298359609743449444989938676734020553820586253449788957938601
m: 10000000000000000000000000
deg: 5
c5: 47
c0: 610
skew: 1.67
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 144287 x 144535
Total sieving time: 1.72 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: 1.72 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)

47×10125+619

c92

name 名前Markus Tervooren
date 日付March 16, 2009 19:15:31 UTC 2009 年 3 月 17 日 (火) 4 時 15 分 31 秒 (日本時間)
composite number 合成数
10309247106574019575801427213546091197756556283296533777875259460763507614969253051823456951<92>
prime factors 素因数
36119310367160443267030313272188255347<38>
285422036073732811972082844292589214988221463070831533<54>
factorization results 素因数分解の結果
Msieve v. 1.40
Mon Mar 16 18:48:35 2009
random seeds: 09b0ea96 fc39a54b
factoring 10309247106574019575801427213546091197756556283296533777875259460763507614969253051823456951 (92 digits)
searching for 15-digit factors
commencing quadratic sieve (92-digit input)
using multiplier of 11
using 32kb Intel Core sieve core
sieve interval: 36 blocks of size 32768
processing polynomials in batches of 6
using a sieve bound of 1748333 (65882 primes)
using large prime bound of 176581633 (27 bits)
using double large prime bound of 699039714332622 (42-50 bits)
using trial factoring cutoff of 50 bits
polynomial 'A' values have 12 factors

sieving in progress (press Ctrl-C to pause)
66430 relations (16969 full + 49461 combined from 801476 partial), need 65978
66430 relations (16969 full + 49461 combined from 801476 partial), need 65978
sieving complete, commencing postprocessing
begin with 818445 relations
reduce to 166376 relations in 11 passes
attempting to read 166376 relations
recovered 166376 relations
recovered 147930 polynomials
attempting to build 66430 cycles
found 66430 cycles in 5 passes
distribution of cycle lengths:
   length 1 : 16969
   length 2 : 12288
   length 3 : 11501
   length 4 : 9184
   length 5 : 6476
   length 6 : 4214
   length 7 : 2619
   length 9+: 3179
largest cycle: 19 relations
matrix is 65882 x 66430 (17.4 MB) with weight 4026396 (60.61/col)
sparse part has weight 4026396 (60.61/col)
filtering completed in 3 passes
matrix is 62105 x 62169 (16.3 MB) with weight 3763927 (60.54/col)
sparse part has weight 3763927 (60.54/col)
saving the first 48 matrix rows for later
matrix is 62057 x 62169 (10.1 MB) with weight 2907251 (46.76/col)
sparse part has weight 2023206 (32.54/col)
matrix includes 64 packed rows
using block size 24867 for processor cache size 4096 kB
commencing Lanczos iteration
memory use: 9.2 MB
linear algebra completed 56196 of 62169 dimensions (90.4%, ETA 0h 0m)
lanczos halted after 983 iterations (dim = 62057)
recovered 18 nontrivial dependencies
prp38 factor: 36119310367160443267030313272188255347
prp54 factor: 285422036073732811972082844292589214988221463070831533
elapsed time 01:26:49

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)

47×10126+619

c101

name 名前Ignacio Santos
date 日付March 16, 2009 17:28:29 UTC 2009 年 3 月 17 日 (火) 2 時 28 分 29 秒 (日本時間)
composite number 合成数
24306862033504603934335500192850107717193325380275387792278851810924822007257197746988141412086680237<101>
prime factors 素因数
23894510075301486165654975089685133299839<41>
1017257184052053219025068016261178571707894387955363477622483<61>
factorization results 素因数分解の結果
Number: 52229_126
N=24306862033504603934335500192850107717193325380275387792278851810924822007257197746988141412086680237
  ( 101 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=23894510075301486165654975089685133299839 (pp41)
 r2=1017257184052053219025068016261178571707894387955363477622483 (pp61)
Version: Msieve-1.39
Total time: 1.75 hours.
Scaled time: 3.04 units (timescale=1.739).
Factorization parameters were as follows:
n: 24306862033504603934335500192850107717193325380275387792278851810924822007257197746988141412086680237
m: 10000000000000000000000000
deg: 5
c5: 470
c0: 61
skew: 0.66
type: snfs
lss: 1
rlim: 940000
alim: 940000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 940000/940000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [470000, 820001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 139863 x 140111
Total sieving time: 1.75 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,127,5,0,0,0,0,0,0,0,0,940000,940000,26,26,46,46,2.3,2.3,50000
total time: 1.75 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)

47×10137+619

c96

name 名前Max Dettweiler
date 日付March 16, 2009 22:26:23 UTC 2009 年 3 月 17 日 (火) 7 時 26 分 23 秒 (日本時間)
composite number 合成数
409631452321763546825635704242285696253772845989896048275809030748571767303698583312109480104433<96>
prime factors 素因数
1229958574412209062018051100217580143117<40>
333044917807515859998647944588270739048031866360687340149<57>
factorization results 素因数分解の結果
03/16/09 14:26:52 v1.07 @ Core2Duo, starting SIQS on c96: 409631452321763546825635704242285696253772845989896048275809030748571767303698583312109480104433
03/16/09 14:26:52 v1.07 @ Core2Duo, random seeds: 3914057527, 3818987683
03/16/09 14:26:54 v1.07 @ Core2Duo, ==== sieve params ====
03/16/09 14:26:54 v1.07 @ Core2Duo, n = 96 digits, 318 bits
03/16/09 14:26:54 v1.07 @ Core2Duo, factor base: 88192 primes (max prime = 2397251)
03/16/09 14:26:54 v1.07 @ Core2Duo, single large prime cutoff: 311642630 (130 * pmax)
03/16/09 14:26:54 v1.07 @ Core2Duo, double large prime range from 44 to 51 bits
03/16/09 14:26:54 v1.07 @ Core2Duo, double large prime cutoff: 1943490174637453
03/16/09 14:26:54 v1.07 @ Core2Duo, using 6 large prime slices of factor base
03/16/09 14:26:54 v1.07 @ Core2Duo, buckets hold 2048 elements
03/16/09 14:26:54 v1.07 @ Core2Duo, sieve interval: 26 blocks of size 32768
03/16/09 14:26:54 v1.07 @ Core2Duo, polynomial A has ~ 12 factors
03/16/09 14:26:54 v1.07 @ Core2Duo, using multiplier of 1
03/16/09 14:26:54 v1.07 @ Core2Duo, using small prime variation correction of 17 bits
03/16/09 14:26:54 v1.07 @ Core2Duo, using x128 sieve scanning
03/16/09 14:26:54 v1.07 @ Core2Duo, trial factoring cutoff at 100 bits
03/16/09 14:26:54 v1.07 @ Core2Duo, ==== sieving started ====
03/16/09 17:11:19 v1.07 @ Core2Duo, sieve time = 3229.1400, relation time = 1905.8000, poly_time = 4442.4100
03/16/09 17:11:19 v1.07 @ Core2Duo, 88271 relations found: 21574 full + 66697 from 1222577 partial, using 835916 polys (394 A polys)
03/16/09 17:11:19 v1.07 @ Core2Duo, trial division touched 69874537 sieve locations out of 1424347365376
03/16/09 17:11:19 v1.07 @ Core2Duo, ==== post processing stage (msieve-1.38) ====
03/16/09 17:11:20 v1.07 @ Core2Duo, begin with 1244251 relations
03/16/09 17:11:21 v1.07 @ Core2Duo, reduce to 229300 relations in 12 passes
03/16/09 17:11:26 v1.07 @ Core2Duo, failed to read relation 207209
03/16/09 17:11:26 v1.07 @ Core2Duo, recovered 229299 relations
03/16/09 17:11:26 v1.07 @ Core2Duo, recovered 208310 polynomials
03/16/09 17:11:26 v1.07 @ Core2Duo, attempting to build 88257 cycles
03/16/09 17:11:26 v1.07 @ Core2Duo, found 88257 cycles in 5 passes
03/16/09 17:11:26 v1.07 @ Core2Duo, distribution of cycle lengths:
03/16/09 17:11:26 v1.07 @ Core2Duo,    length 1 : 21574
03/16/09 17:11:26 v1.07 @ Core2Duo,    length 2 : 15434
03/16/09 17:11:26 v1.07 @ Core2Duo,    length 3 : 14923
03/16/09 17:11:26 v1.07 @ Core2Duo,    length 4 : 11922
03/16/09 17:11:26 v1.07 @ Core2Duo,    length 5 : 8967
03/16/09 17:11:26 v1.07 @ Core2Duo,    length 6 : 6126
03/16/09 17:11:26 v1.07 @ Core2Duo,    length 7 : 3975
03/16/09 17:11:26 v1.07 @ Core2Duo,    length 9+: 5336
03/16/09 17:11:26 v1.07 @ Core2Duo, largest cycle: 18 relations
03/16/09 17:11:27 v1.07 @ Core2Duo, matrix is 88192 x 88257 (23.5 MB) with weight 5796900 (65.68/col)
03/16/09 17:11:27 v1.07 @ Core2Duo, sparse part has weight 5796900 (65.68/col)
03/16/09 17:11:27 v1.07 @ Core2Duo, filtering completed in 3 passes
03/16/09 17:11:27 v1.07 @ Core2Duo, matrix is 84165 x 84229 (22.6 MB) with weight 5587386 (66.34/col)
03/16/09 17:11:27 v1.07 @ Core2Duo, sparse part has weight 5587386 (66.34/col)
03/16/09 17:11:28 v1.07 @ Core2Duo, saving the first 48 matrix rows for later
03/16/09 17:11:28 v1.07 @ Core2Duo, matrix is 84117 x 84229 (15.3 MB) with weight 4514775 (53.60/col)
03/16/09 17:11:28 v1.07 @ Core2Duo, sparse part has weight 3511399 (41.69/col)
03/16/09 17:11:28 v1.07 @ Core2Duo, matrix includes 64 packed rows
03/16/09 17:11:28 v1.07 @ Core2Duo, using block size 33691 for processor cache size 2048 kB
03/16/09 17:11:29 v1.07 @ Core2Duo, commencing Lanczos iteration
03/16/09 17:11:29 v1.07 @ Core2Duo, memory use: 14.3 MB
03/16/09 17:12:10 v1.07 @ Core2Duo, lanczos halted after 1331 iterations (dim = 84113)
03/16/09 17:12:10 v1.07 @ Core2Duo, recovered 14 nontrivial dependencies
03/16/09 17:12:14 v1.07 @ Core2Duo, prp40 = 1229958574412209062018051100217580143117
03/16/09 17:12:21 v1.07 @ Core2Duo, prp57 = 333044917807515859998647944588270739048031866360687340149
03/16/09 17:12:21 v1.07 @ Core2Duo, Lanczos elapsed time = 51.2800 seconds.
03/16/09 17:12:21 v1.07 @ Core2Duo, Sqrt elapsed time = 10.8300 seconds.
03/16/09 17:12:21 v1.07 @ Core2Duo, SIQS elapsed time = 1096.3454 seconds.
software ソフトウェア
YAFU v1.07
execution environment 実行環境
Core 2 Duo E4500 (2.2Ghz), Ubuntu 8.10 32-bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)

47×10141+619

c136

name 名前Ignacio Santos
date 日付March 16, 2009 19:42:09 UTC 2009 年 3 月 17 日 (火) 4 時 42 分 9 秒 (日本時間)
composite number 合成数
3547919828184056116315607548433446194927697545722684470883241053448355384409942056430193280858844197931955275979473094651933589885680739<136>
prime factors 素因数
237889815236994003472994542573001<33>
2770758482137124969166412549823186766443947403693<49>
5382688866148215158381784090133347240153974065965281623<55>
factorization results 素因数分解の結果
Number: 52229_141
N=3547919828184056116315607548433446194927697545722684470883241053448355384409942056430193280858844197931955275979473094651933589885680739
  ( 136 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=237889815236994003472994542573001 (pp33)
 r2=2770758482137124969166412549823186766443947403693 (pp49)
 r3=5382688866148215158381784090133347240153974065965281623 (pp55)
Version: Msieve-1.39
Total time: 5.65 hours.
Scaled time: 6.78 units (timescale=1.200).
Factorization parameters were as follows:
n: 3547919828184056116315607548433446194927697545722684470883241053448355384409942056430193280858844197931955275979473094651933589885680739
m: 10000000000000000000000000000
deg: 5
c5: 470
c0: 61
skew: 0.66
type: snfs
lss: 1
rlim: 1670000
alim: 1670000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1670000/1670000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [835000, 1835001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 274463 x 274711
Total sieving time: 5.65 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,142,5,0,0,0,0,0,0,0,0,1670000,1670000,26,26,48,48,2.3,2.3,100000
total time: 5.65 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)

47×10142+619

c133

name 名前Ignacio Santos
date 日付March 16, 2009 22:38:23 UTC 2009 年 3 月 17 日 (火) 7 時 38 分 23 秒 (日本時間)
composite number 合成数
8166687335918092412037262866937791195485907167805717719906495118566264796547401483301565255820867166648568323166129315468551947327811<133>
prime factors 素因数
4565845753121195746924551387258397021<37>
1788647224960539742443560414147995611121695950816486297797249923096857197776551827973807510280991<97>
factorization results 素因数分解の結果
Number: 52229_142
N=8166687335918092412037262866937791195485907167805717719906495118566264796547401483301565255820867166648568323166129315468551947327811
  ( 133 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=4565845753121195746924551387258397021 (pp37)
 r2=1788647224960539742443560414147995611121695950816486297797249923096857197776551827973807510280991 (pp97)
Version: Msieve-1.39
Total time: 10.51 hours.
Scaled time: 27.01 units (timescale=2.571).
Factorization parameters were as follows:
n: 8166687335918092412037262866937791195485907167805717719906495118566264796547401483301565255820867166648568323166129315468551947327811
m: 20000000000000000000000000000
deg: 5
c5: 1175
c0: 488
skew: 0.84
type: snfs
lss: 1
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [900000, 2700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 344241 x 344489
Total sieving time: 10.51 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,144,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,49,49,2.3,2.3,100000
total time: 10.51 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)

47×10143+619

c102

name 名前Erik Branger
date 日付March 17, 2009 08:46:51 UTC 2009 年 3 月 17 日 (火) 17 時 46 分 51 秒 (日本時間)
composite number 合成数
605750486343000404874843255841407322336179563269398224619563116036694385526322917940252330159715633119<102>
prime factors 素因数
843533943620266080062357916034467423067<39>
718110386575849847385899895133421039103985314002695286774474957<63>
factorization results 素因数分解の結果
Number: 52229_143
N=605750486343000404874843255841407322336179563269398224619563116036694385526322917940252330159715633119
  ( 102 digits)
Divisors found:
 r1=843533943620266080062357916034467423067
 r2=718110386575849847385899895133421039103985314002695286774474957
Version: 
Total time: 9.17 hours.
Scaled time: 7.24 units (timescale=0.789).
Factorization parameters were as follows:
name: 52229_143
n: 605750486343000404874843255841407322336179563269398224619563116036694385526322917940252330159715633119
skew: 2028.19
# norm 3.98e+013
c5: 484680
c4: -957011292
c3: -7259569440258
c2: 12296856586459339
c1: 22812751531700371574
c0: -73288405825787053568
# alpha -5.27
Y1: 25932542933
Y0: -16571735877576221307
# Murphy_E 2.82e-009
# M 383023636319566478011625387693809335917375317312372669279878183539994291798391880866888635246176265339
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 [1150000, 1750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 232156 x 232404
Polynomial selection time: 0.62 hours.
Total sieving time: 8.55 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 9.17 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6938118Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)
820Max DettweilerMarch 16, 2009 21:03:32 UTC 2009 年 3 月 17 日 (火) 6 時 3 分 32 秒 (日本時間)

47×10144+619

c143

name 名前Erik Branger
date 日付March 17, 2009 08:44:25 UTC 2009 年 3 月 17 日 (火) 17 時 44 分 25 秒 (日本時間)
composite number 合成数
60025542784163473818646232439335887611749680715197956577266922094508301404853128991060025542784163473818646232439335887611749680715197956577267<143>
prime factors 素因数
35665836196780192728533512673<29>
1976709432008267264427519070426499<34>
851414124657241695767207870881297397947237108071634876732657125843696881206420721<81>
factorization results 素因数分解の結果
Number: 52229_144
N=60025542784163473818646232439335887611749680715197956577266922094508301404853128991060025542784163473818646232439335887611749680715197956577267
  ( 143 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=35665836196780192728533512673
 r2=1976709432008267264427519070426499
 r3=851414124657241695767207870881297397947237108071634876732657125843696881206420721
Version: 
Total time: 12.31 hours.
Scaled time: 12.75 units (timescale=1.036).
Factorization parameters were as follows:
n: 60025542784163473818646232439335887611749680715197956577266922094508301404853128991060025542784163473818646232439335887611749680715197956577267
m: 100000000000000000000000000000
deg: 5
c5: 47
c0: 610
skew: 1.67
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor 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, 2500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 364332 x 364580
Total sieving time: 12.31 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 12.31 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)

47×10146+619

c121

name 名前Sinkiti Sibata
date 日付March 17, 2009 10:45:04 UTC 2009 年 3 月 17 日 (火) 19 時 45 分 4 秒 (日本時間)
composite number 合成数
4415566983412916558364200333566126155840383990444855088058423457637337768106379951019223089264831632838735255607415030193<121>
prime factors 素因数
12822898127825871123041260367860744391887985989183<50>
344350156992285033341866116549986062298882723986694029020884286713875471<72>
factorization results 素因数分解の結果
Number: 52229_146
N=4415566983412916558364200333566126155840383990444855088058423457637337768106379951019223089264831632838735255607415030193
  ( 121 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=12822898127825871123041260367860744391887985989183 (pp50)
 r2=344350156992285033341866116549986062298882723986694029020884286713875471 (pp72)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 23.49 hours.
Scaled time: 60.22 units (timescale=2.564).
Factorization parameters were as follows:
name: 52229_146
n: 4415566983412916558364200333566126155840383990444855088058423457637337768106379951019223089264831632838735255607415030193
m: 100000000000000000000000000000
deg: 5
c5: 470
c0: 61
skew: 0.66
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, 3100001)
Primes: RFBsize:148933, AFBsize:149036, largePrimes:4703269 encountered
Relations: rels:5381201, finalFF:641992
Max relations in full relation-set: 28
Initial matrix: 298036 x 641992 with sparse part having weight 79596977.
Pruned matrix : 227418 x 228972 with weight 37582236.
Total sieving time: 22.80 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.51 hours.
Time per square root: 0.09 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: 23.49 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)

47×10149+619

c111

name 名前Ignacio Santos
date 日付March 18, 2009 12:41:54 UTC 2009 年 3 月 18 日 (水) 21 時 41 分 54 秒 (日本時間)
composite number 合成数
606675876199651581317035127957145483690901889131660586888217858313407073692363357548983792092630032283116193071<111>
prime factors 素因数
219213132009021623869566675173488915702299783936522029<54>
2767516118398801454302828847039547607150038471761799341899<58>
factorization results 素因数分解の結果
Number: 52229_149
N=606675876199651581317035127957145483690901889131660586888217858313407073692363357548983792092630032283116193071
  ( 111 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=219213132009021623869566675173488915702299783936522029 (pp54)
 r2=2767516118398801454302828847039547607150038471761799341899 (pp58)
Version: Msieve-1.39
Total time: 16.20 hours.
Scaled time: 41.65 units (timescale=2.571).
Factorization parameters were as follows:
n: 606675876199651581317035127957145483690901889131660586888217858313407073692363357548983792092630032283116193071
m: 1000000000000000000000000000000
deg: 5
c5: 47
c0: 610
skew: 1.67
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 2100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 436101 x 436349
Total sieving time: 16.20 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 16.20 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)

47×10151+619

c129

name 名前Max Dettweiler
date 日付March 17, 2009 17:08:13 UTC 2009 年 3 月 18 日 (水) 2 時 8 分 13 秒 (日本時間)
composite number 合成数
401591409701094762557236606442942058249930610119999828677048360538804414672459347923455562310561948894319531364533784369607514371<129>
prime factors 素因数
13551298952508005615508715858630155784976003377<47>
29634901503428958238102266429923613340973044009914909611452496602972186130738987123<83>
factorization results 素因数分解の結果
Number: 52229_151
N=401591409701094762557236606442942058249930610119999828677048360538804414672459347923455562310561948894319531364533784369607514371
  ( 129 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=13551298952508005615508715858630155784976003377 (pp47)
 r2=29634901503428958238102266429923613340973044009914909611452496602972186130738987123 (pp83)
Version: Msieve-1.40
Total time: 21.55 hours.
Scaled time: 35.41 units (timescale=1.643).
Factorization parameters were as follows:
n: 401591409701094762557236606442942058249930610119999828677048360538804414672459347923455562310561948894319531364533784369607514371
m: 1000000000000000000000000000000
deg: 5
c5: 470
c0: 61
skew: 0.66
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4

Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 2150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 433946 x 434194
Total sieving time: 21.55 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,152,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 21.55 hours.
 --------- CPU info (if available) ----------
[    0.366872] CPU0: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.456430] CPU1: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.004000] Memory: 2036264k/2070528k available (2576k kernel code, 32096k reserved, 1165k data, 424k init, 1152180k highmem)
[    0.004010] Calibrating delay loop (skipped), value calculated using timer frequency.. 4400.13 BogoMIPS (lpj=8800268)
[    0.004000] Calibrating delay using timer specific routine.. 4400.41 BogoMIPS (lpj=8800821)
[    0.460050] Total of 2 processors activated (8800.54 BogoMIPS).
software ソフトウェア
GGNFS (sieving) + msieve v1.40beta2 (postprocessing) via factMsieve.pl
execution environment 実行環境
Core 2 Duo E4500 (2.2Ghz), Ubuntu 8.10 32-bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)

47×10152+619

c122

name 名前Erik Branger
date 日付March 19, 2009 18:00:13 UTC 2009 年 3 月 20 日 (金) 3 時 0 分 13 秒 (日本時間)
composite number 合成数
26071974595579550393999475913790933972486860700120637626726518445387274546574219539309075431750905426207893727988956584997<122>
prime factors 素因数
1142881122706237152034929100702236331731481069594600653461<58>
22812499110881731749464498894319372578237508831024251483110858577<65>
factorization results 素因数分解の結果
Number: 52229_152
N=26071974595579550393999475913790933972486860700120637626726518445387274546574219539309075431750905426207893727988956584997
  ( 122 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=1142881122706237152034929100702236331731481069594600653461
 r2=22812499110881731749464498894319372578237508831024251483110858577
Version: 
Total time: 35.93 hours.
Scaled time: 36.25 units (timescale=1.009).
Factorization parameters were as follows:
n: 26071974595579550393999475913790933972486860700120637626726518445387274546574219539309075431750905426207893727988956584997
m: 2000000000000000000000000000000
deg: 5
c5: 1175
c0: 488
skew: 0.84
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 508553 x 508801
Total sieving time: 35.93 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 35.93 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)

47×10154+619

c141

name 名前Robert Backstrom
date 日付March 22, 2009 02:43:35 UTC 2009 年 3 月 22 日 (日) 11 時 43 分 35 秒 (日本時間)
composite number 合成数
114700457246579318138478529527468263717968577260197719911362953388175243029481033280139922014098783960013610492455511266691921061547300810749<141>
prime factors 素因数
6287405169625602502477237795484824113448923850663462083007464764063<67>
18242892600702144900224066166443686086519340119714997012668019979791537123<74>
factorization results 素因数分解の結果
Number: n
N=114700457246579318138478529527468263717968577260197719911362953388175243029481033280139922014098783960013610492455511266691921061547300810749
  ( 141 digits)
SNFS difficulty: 156 digits.
Divisors found:

Sun Mar 22 13:39:49 2009  prp67 factor: 6287405169625602502477237795484824113448923850663462083007464764063
Sun Mar 22 13:39:49 2009  prp74 factor: 18242892600702144900224066166443686086519340119714997012668019979791537123
Sun Mar 22 13:39:49 2009  elapsed time 01:25:39 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 24.36 hours.
Scaled time: 44.42 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_5_2_153_9
n: 114700457246579318138478529527468263717968577260197719911362953388175243029481033280139922014098783960013610492455511266691921061547300810749
deg: 5
c5: 47
c0: 610
m: 10000000000000000000000000000000
skew: 1.67
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [1500000, 10000000
)
Primes: RFBsize:216816, AFBsize:217102, largePrimes:24249774 encountered
Relations: rels:22372236, finalFF:558517
Max relations in full relation-set: 28
Initial matrix: 433983 x 558517 with sparse part having weight 89057458.
Pruned matrix : 399040 x 401273 with weight 56926209.

Msieve: found 2110438 hash collisions in 23723689 relations
Msieve: matrix is 535966 x 536214 (141.4 MB)

Total sieving time: 23.82 hours.
Total relation processing time: 0.54 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,29,29,58,58,2.5,2.5,100000
total time: 24.36 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)

47×10155+619

c139

name 名前Serge Batalov
date 日付March 17, 2009 01:45:36 UTC 2009 年 3 月 17 日 (火) 10 時 45 分 36 秒 (日本時間)
composite number 合成数
5754644640585449191008920125142453967791053807545353415454995626035209442376213481020112037757307342677623289412305082228414988718229306797<139>
prime factors 素因数
20170670960464360204959468810331<32>
composite cofactor 合成数の残り
285297630994272504091552978449388295403830314074853375107757128116579477814437793906499110695817310611368087<108>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=958636256
Step 1 took 7668ms
Step 2 took 7649ms
********** Factor found in step 2: 20170670960464360204959468810331
Found probable prime factor of 32 digits: 20170670960464360204959468810331
Composite cofactor has 108 digits
software ソフトウェア
GMP-ECM 6.2.2

c108

name 名前Sinkiti Sibata
date 日付March 19, 2009 17:11:01 UTC 2009 年 3 月 20 日 (金) 2 時 11 分 1 秒 (日本時間)
composite number 合成数
285297630994272504091552978449388295403830314074853375107757128116579477814437793906499110695817310611368087<108>
prime factors 素因数
1362060369851719248423367258847794687379<40>
209460342073774190375828058205240979575586001449705679614534145203053<69>
factorization results 素因数分解の結果
Number: 52227_155
N=285297630994272504091552978449388295403830314074853375107757128116579477814437793906499110695817310611368087
  ( 108 digits)
Divisors found:
 r1=1362060369851719248423367258847794687379 (pp40)
 r2=209460342073774190375828058205240979575586001449705679614534145203053 (pp69)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 20.73 hours.
Scaled time: 9.78 units (timescale=0.472).
Factorization parameters were as follows:
name: 52227_155
n: 285297630994272504091552978449388295403830314074853375107757128116579477814437793906499110695817310611368087
skew: 12217.28
# norm 5.15e+14
c5: 24480
c4: 2762001072
c3: -4673288308058
c2: -155456926716493285
c1: 560007686009585776790
c0: -3036206145102312397412120
# alpha -6.01
Y1: 239892078833
Y0: -410479642376546949693
# Murphy_E 1.42e-09
# M 253874833941645235923460218686059303773393118734419260658942706884390200216848854565959869477840516971217388
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, 2450001)
Primes: RFBsize:183072, AFBsize:182725, largePrimes:4485821 encountered
Relations: rels:4584016, finalFF:461794
Max relations in full relation-set: 28
Initial matrix: 365882 x 461794 with sparse part having weight 37155706.
Pruned matrix : 295333 x 297226 with weight 21432233.
Total sieving time: 17.67 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 2.50 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 20.73 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)

47×10160+619

c137

name 名前Robert Backstrom
date 日付April 2, 2009 14:11:50 UTC 2009 年 4 月 2 日 (木) 23 時 11 分 50 秒 (日本時間)
composite number 合成数
86646698285537530193450319277642828024489879500902537700671930529507367477335548923716463218539734619713860135139678033581656660881717159<137>
prime factors 素因数
149475423087669771725404269873003177613<39>
805851248526890988295119477659282638721085559<45>
719328626510539286405990039328350670878493687056107477<54>
factorization results 素因数分解の結果
Number: n
N=86646698285537530193450319277642828024489879500902537700671930529507367477335548923716463218539734619713860135139678033581656660881717159
  ( 137 digits)
SNFS difficulty: 161 digits.
Divisors found:

Thu Apr 02 23:59:54 2009  prp39 factor: 149475423087669771725404269873003177613
Thu Apr 02 23:59:54 2009  prp45 factor: 805851248526890988295119477659282638721085559
Thu Apr 02 23:59:54 2009  prp54 factor: 719328626510539286405990039328350670878493687056107477
Thu Apr 02 23:59:54 2009  elapsed time 01:04:50 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 26.06 hours.
Scaled time: 68.45 units (timescale=2.627).
Factorization parameters were as follows:
name: KA_5_2_159_9
n: 86646698285537530193450319277642828024489879500902537700671930529507367477335548923716463218539734619713860135139678033581656660881717159
skew: 1.05
deg: 5
c5: 47
c0: 61
m: 100000000000000000000000000000000
type: snfs
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
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 [2250000, 3858307)
Primes: RFBsize:315948, AFBsize:315702, largePrimes:15105273 encountered
Relations: rels:14286619, finalFF:585267
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1139206 hash collisions in 15114291 relations
Msieve: matrix is 721821 x 722069 (193.9 MB)

Total sieving time: 25.67 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4500000,4500000,28,28,56,56,2.4,2.4,100000
total time: 26.06 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)

47×10161+619

c154

name 名前Ignacio Santos
date 日付March 18, 2009 07:26:38 UTC 2009 年 3 月 18 日 (水) 16 時 26 分 38 秒 (日本時間)
composite number 合成数
3707543746123136872396667795676844488755429619918336710617759781865291116820081632082907645190199672284844174330477097638895807993800204328099954691527789<154>
prime factors 素因数
219943733041963750242646478617524491832623759499803899627166611<63>
16856782845527874382183048874522274027542137890355911903085056358760184087391042615656550399<92>
factorization results 素因数分解の結果
Number: 52229_161
N=3707543746123136872396667795676844488755429619918336710617759781865291116820081632082907645190199672284844174330477097638895807993800204328099954691527789
  ( 154 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=219943733041963750242646478617524491832623759499803899627166611 (pp63)
 r2=16856782845527874382183048874522274027542137890355911903085056358760184087391042615656550399 (pp92)
Version: Msieve-1.39
Total time: 36.14 hours.
Scaled time: 92.92 units (timescale=2.571).
Factorization parameters were as follows:
n: 3707543746123136872396667795676844488755429619918336710617759781865291116820081632082907645190199672284844174330477097638895807993800204328099954691527789
m: 100000000000000000000000000000000
deg: 5
c5: 470
c0: 61
skew: 0.66
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 669486 x 669734
Total sieving time: 36.14 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,162,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 36.14 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)

47×10162+619

c157

name 名前Ignacio Santos
date 日付March 20, 2009 16:07:38 UTC 2009 年 3 月 21 日 (土) 1 時 7 分 38 秒 (日本時間)
composite number 合成数
5289670814781501143300446211869773706757081771895663831740748506427681590178589415863902847429799596882065438630195849499186347337117811435840626044921010021<157>
prime factors 素因数
971829109621331280713052310611805906814693<42>
5443005115212690963075124445015554464452373759718062686515066448009637291266093021375952448364071566322188969133697<115>
factorization results 素因数分解の結果
Number: 52229_162
N=5289670814781501143300446211869773706757081771895663831740748506427681590178589415863902847429799596882065438630195849499186347337117811435840626044921010021
  ( 157 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=971829109621331280713052310611805906814693 (pp42)
 r2=5443005115212690963075124445015554464452373759718062686515066448009637291266093021375952448364071566322188969133697 (pp115)
Version: Msieve-1.39
Total time: 53.98 hours.
Scaled time: 138.18 units (timescale=2.560).
Factorization parameters were as follows:
n: 5289670814781501143300446211869773706757081771895663831740748506427681590178589415863902847429799596882065438630195849499186347337117811435840626044921010021
m: 200000000000000000000000000000000
deg: 5
c5: 1175
c0: 488
skew: 0.84
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 4850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 809812 x 810060
Total sieving time: 53.98 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,164,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 53.98 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)

47×10165+619

c156

name 名前Ignacio Santos
date 日付March 19, 2009 23:09:03 UTC 2009 年 3 月 20 日 (金) 8 時 9 分 3 秒 (日本時間)
composite number 合成数
258037223577586703584366939521687141457565042608347763233440879201328184257788165302728714631007910945833069136088685122225466935446774836043071413903546909<156>
prime factors 素因数
72533535683897919367050843049102695262622230330026538812469651505101456980937<77>
3557488562285399128352167251090547646264542317070408776923597887660186679045557<79>
factorization results 素因数分解の結果
Number: 52229_165
N=258037223577586703584366939521687141457565042608347763233440879201328184257788165302728714631007910945833069136088685122225466935446774836043071413903546909
  ( 156 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=72533535683897919367050843049102695262622230330026538812469651505101456980937 (pp77)
 r2=3557488562285399128352167251090547646264542317070408776923597887660186679045557 (pp79)
Version: Msieve-1.39
Total time: 43.32 hours.
Scaled time: 110.89 units (timescale=2.560).
Factorization parameters were as follows:
n: 258037223577586703584366939521687141457565042608347763233440879201328184257788165302728714631007910945833069136088685122225466935446774836043071413903546909
m: 1000000000000000000000000000000000
deg: 5
c5: 47
c0: 61
skew: 1.05
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 743624 x 743872
Total sieving time: 43.32 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 43.32 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve
execution environment 実行環境
For the records page

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)

47×10167+619

c132

name 名前Robert Backstrom
date 日付June 22, 2009 17:54:08 UTC 2009 年 6 月 23 日 (火) 2 時 54 分 8 秒 (日本時間)
composite number 合成数
423955762779197108748010664666559127694051691975812539877069526095525968365910818624458358288204930884391825958098258024391334879743<132>
prime factors 素因数
5079837261726309477074870937453617318273958408771046998347443561<64>
83458532416670736671267228864304174336696566851849644029351322951463<68>
factorization results 素因数分解の結果
Number: n
N=423955762779197108748010664666559127694051691975812539877069526095525968365910818624458358288204930884391825958098258024391334879743
  ( 132 digits)
SNFS difficulty: 169 digits.
Divisors found:

Tue Jun 23 03:49:36 2009  prp64 factor: 5079837261726309477074870937453617318273958408771046998347443561
Tue Jun 23 03:49:36 2009  prp68 factor: 83458532416670736671267228864304174336696566851849644029351322951463
Tue Jun 23 03:49:36 2009  elapsed time 02:21:21 (Msieve 1.39 - dependency 4)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 74.52 hours.
Scaled time: 198.22 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_5_2_166_9
n: 423955762779197108748010664666559127694051691975812539877069526095525968365910818624458358288204930884391825958098258024391334879743
m: 2000000000000000000000000000000000
deg: 5
c5: 1175
c0: 488
skew: 0.84
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2400000, 6868387)
Primes: RFBsize:335439, AFBsize:335523, largePrimes:18006057 encountered
Relations: rels:18460657, finalFF:659503
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2776050 hash collisions in 21096983 relations
Msieve: matrix is 847467 x 847715 (222.3 MB)

Total sieving time: 73.33 hours.
Total relation processing time: 1.19 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4800000,4800000,28,28,56,56,2.4,2.4,100000
total time: 74.52 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)

47×10170+619

c161

name 名前Ignacio Santos
date 日付May 7, 2009 19:09:34 UTC 2009 年 5 月 8 日 (金) 4 時 9 分 34 秒 (日本時間)
composite number 合成数
27627339246057276483234757819207456028441582910075966920529994180420725881958578321909646664114761200120848299705705944861235677662427047598986328119589672852791<161>
prime factors 素因数
10510633214327225798229348673064411<35>
2628513304830956602240823352104911960288107310430910800133860524644986354367963340687139457780089343410802616392394992059130581<127>
factorization results 素因数分解の結果
Number: 52229_170
N=27627339246057276483234757819207456028441582910075966920529994180420725881958578321909646664114761200120848299705705944861235677662427047598986328119589672852791
  ( 161 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=10510633214327225798229348673064411 (pp35)
 r2=2628513304830956602240823352104911960288107310430910800133860524644986354367963340687139457780089343410802616392394992059130581 (pp127)
Version: Msieve-1.40
Total time: 61.03 hours.
Scaled time: 106.12 units (timescale=1.739).
Factorization parameters were as follows:
n: 27627339246057276483234757819207456028441582910075966920529994180420725881958578321909646664114761200120848299705705944861235677662427047598986328119589672852791
m: 10000000000000000000000000000000000
deg: 5
c5: 47
c0: 61
skew: 1.05
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 5750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 966761 x 967009
Total sieving time: 59.53 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.21 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 61.03 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)

47×10172+619

c163

name 名前Ignacio Santos
date 日付September 30, 2009 20:42:58 UTC 2009 年 10 月 1 日 (木) 5 時 42 分 58 秒 (日本時間)
composite number 合成数
1437528551707119281313675875542368254399786406986836567956741962539411239838906542666098053887433178858381201289266668628552414894416032281242016585115461957396099<163>
prime factors 素因数
155705137976349535618955127465479103372581214599<48>
9232377109645985396433945968057508694695399541386192131778368096665877091302329437777202702426026982598638033918501<115>
factorization results 素因数分解の結果
Number: 52229_172
N=1437528551707119281313675875542368254399786406986836567956741962539411239838906542666098053887433178858381201289266668628552414894416032281242016585115461957396099
  ( 163 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=155705137976349535618955127465479103372581214599 (pp48)
 r2=9232377109645985396433945968057508694695399541386192131778368096665877091302329437777202702426026982598638033918501 (pp115)
Version: Msieve-1.40
Total time: 113.19 hours.
Scaled time: 196.84 units (timescale=1.739).
Factorization parameters were as follows:
n: 1437528551707119281313675875542368254399786406986836567956741962539411239838906542666098053887433178858381201289266668628552414894416032281242016585115461957396099
m: 20000000000000000000000000000000000
deg: 5
c5: 1175
c0: 488
skew: 0.84
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2850000, 9050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1275294 x 1275542
Total sieving time: 110.55 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.22 hours.
Time per square root: 0.31 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 113.19 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
351e6118Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiSeptember 19, 2009 09:14:25 UTC 2009 年 9 月 19 日 (土) 18 時 14 分 25 秒 (日本時間)

47×10176+619

c152

name 名前Robert Backstrom
date 日付January 18, 2012 21:48:15 UTC 2012 年 1 月 19 日 (木) 6 時 48 分 15 秒 (日本時間)
composite number 合成数
14272061614892375673824494259819983931172007372236131870180840303432061850749329549380593083977434784994475729243757937040837987513043620306988302609439<152>
prime factors 素因数
2713126239066248706577362905776044487016284540385685889<55>
5260375064524921514235484960795577000211357953325138664530107226453712509202351070463504384961951<97>
factorization results 素因数分解の結果
Number: n
N=14272061614892375673824494259819983931172007372236131870180840303432061850749329549380593083977434784994475729243757937040837987513043620306988302609439
  ( 152 digits)
SNFS difficulty: 177 digits.
Divisors found:

Thu Jan 19 05:41:11 2012  prp55 factor: 2713126239066248706577362905776044487016284540385685889
Thu Jan 19 05:41:11 2012  prp97 factor: 5260375064524921514235484960795577000211357953325138664530107226453712509202351070463504384961951
Thu Jan 19 05:41:11 2012  elapsed time 02:20:28 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.647).
Factorization parameters were as follows:
name: KA_52229_176
n: 14272061614892375673824494259819983931172007372236131870180840303432061850749329549380593083977434784994475729243757937040837987513043620306988302609439
m: 100000000000000000000000000000000000
deg: 5
c5: 470
c0: 61
skew: 0.66
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7535914 hash collisions in 75000099 relations
Msieve: matrix is 1096690 x 1096918 (308.4 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,177,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)
403e62210300Dmitry DomanovMay 19, 2011 14:04:47 UTC 2011 年 5 月 19 日 (木) 23 時 4 分 47 秒 (日本時間)
110Ignacio SantosMay 19, 2011 15:28:50 UTC 2011 年 5 月 20 日 (金) 0 時 28 分 50 秒 (日本時間)
1800Serge BatalovOctober 8, 2011 21:28:10 UTC 2011 年 10 月 9 日 (日) 6 時 28 分 10 秒 (日本時間)
4511e632 / 3986Ignacio SantosMay 19, 2011 15:28:50 UTC 2011 年 5 月 20 日 (金) 0 時 28 分 50 秒 (日本時間)

47×10177+619

c138

name 名前Erik Branger
date 日付July 5, 2013 12:29:30 UTC 2013 年 7 月 5 日 (金) 21 時 29 分 30 秒 (日本時間)
composite number 合成数
160472782391879399814600872554941836289911201563381999183025481868313152766960735842347268146772129666259100680860268342869498866334413061<138>
prime factors 素因数
11894929707115550919571108391000768163225167930621<50>
13490855880878768694665984822648504862743239947035562573294596967243172200514466806185641<89>
factorization results 素因数分解の結果
Number: 52229_177
N = 160472782391879399814600872554941836289911201563381999183025481868313152766960735842347268146772129666259100680860268342869498866334413061 (138 digits)
SNFS difficulty: 179 digits.
Divisors found:
r1=11894929707115550919571108391000768163225167930621 (pp50)
r2=13490855880878768694665984822648504862743239947035562573294596967243172200514466806185641 (pp89)
Version: Msieve v. 1.51 (SVN 845)
Total time: 107.52 hours.
Factorization parameters were as follows:
n: 160472782391879399814600872554941836289911201563381999183025481868313152766960735842347268146772129666259100680860268342869498866334413061
m: 100000000000000000000000000000000000
deg: 5
c5: 4700
c0: 61
skew: 0.42
# Murphy_E = 7.634e-11
type: snfs
lss: 1
rlim: 6700000
alim: 6700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19485336
Relations: 2635502 relations
Pruned matrix : 1569500 x 1569729
Polynomial selection time: 0.00 hours.
Total sieving time: 105.18 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.99 hours.
time per square root: 0.20 hours.
Prototype def-par.txt line would be: snfs,179,5,0,0,0,0,0,0,0,0,6700000,6700000,28,28,53,53,2.5,2.5,100000
total time: 107.52 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 KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)
403e6410300Dmitry DomanovMay 19, 2011 14:04:55 UTC 2011 年 5 月 19 日 (木) 23 時 4 分 55 秒 (日本時間)
110Ignacio SantosMay 19, 2011 15:29:14 UTC 2011 年 5 月 20 日 (金) 0 時 29 分 14 秒 (日本時間)
4511e6632 / 438432Ignacio SantosMay 19, 2011 15:29:14 UTC 2011 年 5 月 20 日 (金) 0 時 29 分 14 秒 (日本時間)
600Rich DickersonFebruary 5, 2012 20:30:15 UTC 2012 年 2 月 6 日 (月) 5 時 30 分 15 秒 (日本時間)

47×10178+619

c169

name 名前Robert Backstrom
date 日付February 1, 2012 03:49:14 UTC 2012 年 2 月 1 日 (水) 12 時 49 分 14 秒 (日本時間)
composite number 合成数
1273425163218800460371533735717797892936964179079949583101165888372330411709210080200227937794304176184097691270327921440409523869199144675619378988348630054136074417739<169>
prime factors 素因数
115408121164094735012236175664796745389444902756462350565310383181720875166223<78>
11034103582781337864927757606282630036211683990647968980583740201381062663832992545798233093<92>
factorization results 素因数分解の結果
Number: n
N=1273425163218800460371533735717797892936964179079949583101165888372330411709210080200227937794304176184097691270327921440409523869199144675619378988348630054136074417739
  ( 169 digits)
SNFS difficulty: 179 digits.
Divisors found:

Wed Feb  1 12:55:11 2012  prp78 factor: 115408121164094735012236175664796745389444902756462350565310383181720875166223
Wed Feb  1 12:55:11 2012  prp92 factor: 11034103582781337864927757606282630036211683990647968980583740201381062663832992545798233093
Wed Feb  1 12:55:11 2012  elapsed time 03:53:53 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.649).
Factorization parameters were as follows:
name: KA_52229_178
n: 1273425163218800460371533735717797892936964179079949583101165888372330411709210080200227937794304176184097691270327921440409523869199144675619378988348630054136074417739
m: 100000000000000000000000000000000000
deg: 5
c5: 47000
c0: 61
skew: 0.26
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10730196 hash collisions in 76000098 relations
Msieve: matrix is 1375856 x 1376084 (385.5 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,179,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 19, 2011 14:05:03 UTC 2011 年 5 月 19 日 (木) 23 時 5 分 3 秒 (日本時間)

47×10179+619

c172

name 名前Serge Batalov
date 日付March 17, 2009 02:05:53 UTC 2009 年 3 月 17 日 (火) 11 時 5 分 53 秒 (日本時間)
composite number 合成数
7171008352911063440993924582880486063030072259764205558138415447092894650467590710902200413385440199160201380894835681004748472373440860864234272534181606863714472076368871<172>
prime factors 素因数
46086527706787783863770048419<29>
155598798818920185760682857386549258894779410779794936254768626444142587537228894385588949913316988978207015735754666249496968259470947413724909<144>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1444878925
Step 1 took 9129ms
Step 2 took 8957ms
********** Factor found in step 2: 46086527706787783863770048419
Found probable prime factor of 29 digits: 46086527706787783863770048419
Probable prime cofactor has 144 digits
software ソフトウェア
GMP-ECM 6.2.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)

47×10180+619

c172

name 名前Robert Backstrom
date 日付January 20, 2012 09:34:00 UTC 2012 年 1 月 20 日 (金) 18 時 34 分 0 秒 (日本時間)
composite number 合成数
2984656272837301872941810920503703097678773002832656174803916968577333453319309647690843972028375735039690688451877536825784685380399137091444596598220524217992862805298489<172>
prime factors 素因数
107322378932355729245713582855453961656424687369<48>
127248519277150410216836543650998769382874257509777211<54>
218550243535932156374990718848513622654338442739119806162477279229069571<72>
factorization results 素因数分解の結果
Number: n
N=2984656272837301872941810920503703097678773002832656174803916968577333453319309647690843972028375735039690688451877536825784685380399137091444596598220524217992862805298489
  ( 172 digits)
SNFS difficulty: 181 digits.
Divisors found:

Fri Jan 20 20:01:35 2012  prp48 factor: 107322378932355729245713582855453961656424687369
Fri Jan 20 20:01:35 2012  prp54 factor: 127248519277150410216836543650998769382874257509777211
Fri Jan 20 20:01:35 2012  prp72 factor: 218550243535932156374990718848513622654338442739119806162477279229069571
Fri Jan 20 20:01:35 2012  elapsed time 02:23:59 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.658).
Factorization parameters were as follows:
name: KA_52229 180
n: 2984656272837301872941810920503703097678773002832656174803916968577333453319309647690843972028375735039690688451877536825784685380399137091444596598220524217992862805298489
m: 1000000000000000000000000000000000000
deg: 5
c5: 47
c0: 61
skew: 1.05
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5717648 hash collisions in 76000099 relations
Msieve: matrix is 1037204 x 1037452 (287.9 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,181,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 19, 2011 14:05:11 UTC 2011 年 5 月 19 日 (木) 23 時 5 分 11 秒 (日本時間)

47×10181+619

c164

name 名前Rich Dickerson
date 日付June 15, 2013 15:43:44 UTC 2013 年 6 月 16 日 (日) 0 時 43 分 44 秒 (日本時間)
composite number 合成数
10485022954014068904990891110645207354756265530800919450051069619503559315865054055191528562617494512910296984357857838089997758440238485807566820132732654200089409<164>
prime factors 素因数
26053743307872932769578681796025708751399<41>
composite cofactor 合成数の残り
402438253502163721374413543289478854827413737349545818460246829481329244668601583506895179394252582921306538280311108347991<123>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=7565981
Step 1 took 29319ms
Step 2 took 9805ms
********** Factor found in step 2: 26053743307872932769578681796025708751399
Found probable prime factor of 41 digits: 26053743307872932769578681796025708751399
Composite cofactor 402438253502163721374413543289478854827413737349545818460246829481329244668601583506895179394252582921306538280311108347991 has 123 digits
software ソフトウェア
GMP-ECM 6.4.4 [configured with GMP 5.1.1] [ECM]
execution environment 実行環境
Core-i5, 3.4 GHz, Linux (OpenSUSE)

c123

name 名前Erik Branger
date 日付June 21, 2013 09:42:37 UTC 2013 年 6 月 21 日 (金) 18 時 42 分 37 秒 (日本時間)
composite number 合成数
402438253502163721374413543289478854827413737349545818460246829481329244668601583506895179394252582921306538280311108347991<123>
prime factors 素因数
2413724256140824768123588424976830427397<40>
166729174833583030450781109564381636447967574904771645482169638273815872168454431403<84>
factorization results 素因数分解の結果
Number: 52229_181
N = 402438253502163721374413543289478854827413737349545818460246829481329244668601583506895179394252582921306538280311108347991 (123 digits)
Divisors found:
r1=2413724256140824768123588424976830427397 (pp40)
r2=166729174833583030450781109564381636447967574904771645482169638273815872168454431403 (pp84)
Version: Msieve v. 1.51 (SVN 845)
Total time: 46.15 hours.
Factorization parameters were as follows:
# Murphy_E = 1.954e-10, selected by Erik Branger
n: 402438253502163721374413543289478854827413737349545818460246829481329244668601583506895179394252582921306538280311108347991
Y0: -484205253746280924656039
Y1: 6781045055747
c0: -8995590788231196086237909982000
c1: 88946269083009165842845950
c2: 63900001625970833965
c3: -2748158274050042
c4: -55268076
c5: 15120
skew: 297857.92
type: gnfs
# selected mechanically
rlim: 6200000
alim: 6200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10352658
Relations: 1390224 relations
Pruned matrix : 817737 x 817963
Polynomial selection time: 0.00 hours.
Total sieving time: 45.04 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.62 hours.
time per square root: 0.40 hours.
Prototype def-par.txt line would be: gnfs,122,5,65,2000,1e-05,0.28,250,20,50000,3600,6200000,6200000,27,27,52,52,2.5,2.5,100000
total time: 46.15 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 KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)
403e6500300Dmitry DomanovMay 19, 2011 14:05:18 UTC 2011 年 5 月 19 日 (木) 23 時 5 分 18 秒 (日本時間)
200Rich DickersonJune 15, 2013 14:38:40 UTC 2013 年 6 月 15 日 (土) 23 時 38 分 40 秒 (日本時間)
4511e6300 / 4014Rich DickersonJune 15, 2013 15:40:45 UTC 2013 年 6 月 16 日 (日) 0 時 40 分 45 秒 (日本時間)
5043e6100 / 7467Rich DickersonJune 17, 2013 02:50:23 UTC 2013 年 6 月 17 日 (月) 11 時 50 分 23 秒 (日本時間)

47×10182+619

c121

name 名前Jeff Gilchrist
date 日付April 14, 2009 22:25:41 UTC 2009 年 4 月 15 日 (水) 7 時 25 分 41 秒 (日本時間)
composite number 合成数
3232226435970265846236451757188221400714438709580553767065174279795300964396998306487207820154993202004200696972674155507<121>
prime factors 素因数
17506708982877796590471231654665554196604017<44>
184627872613379352806475438960335967278715754772741368162582062046769524215971<78>
factorization results 素因数分解の結果
Number: 52229_182
N=3232226435970265846236451757188221400714438709580553767065174279795300964396998306487207820154993202004200696972674155507
  ( 121 digits)
Divisors found:
 r1=17506708982877796590471231654665554196604017 (pp44)
 r2=184627872613379352806475438960335967278715754772741368162582062046769524215971 (pp78)
Version: Msieve-1.41
Total time: 24.87 hours.
Scaled time: 92.16 units (timescale=3.706).
Factorization parameters were as follows:
n: 3232226435970265846236451757188221400714438709580553767065174279795300964396998306487207820154993202004200696972674155507
Y0: -185237779331646459172495
Y1:  7107011474677
c0:  55561197852791414195499475416
c1: -4782340600789847977395504
c2: -149176072421321140560
c3:  896428011026213
c4:  5109382940
c5:  14820
skew: 114386.69
type: gnfs
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [2200000, 4000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 721051 x 721299
Total sieving time: 24.28 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4400000,4400000,27,27,53,53,2.5,2.5,100000
total time: 24.87 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS & Msieve 1.41 
execution environment 実行環境
Intel Core2 Q9550 @ 3.4GHz in Vista 64bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)
403e6500 / 2318Erik BrangerApril 2, 2009 08:02:16 UTC 2009 年 4 月 2 日 (木) 17 時 2 分 16 秒 (日本時間)

47×10183+619

c175

name 名前Serge Batalov
date 日付March 17, 2009 07:45:57 UTC 2009 年 3 月 17 日 (火) 16 時 45 分 57 秒 (日本時間)
composite number 合成数
1369709609136682592656525100023141106875403338734672725912380966686549251867588422237017085194072580955377719634852179952645336847983011035458864095081947701512988173142973963<175>
prime factors 素因数
23580467869898578816558113541392511<35>
composite cofactor 合成数の残り
58086617139822417192309155633607444600006416172320696813705786684420593367822572818386028872976485426874441318380077890295282806517242070133<140>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2046773793
Step 1 took 11001ms
********** Factor found in step 1: 23580467869898578816558113541392511
Found probable prime factor of 35 digits: 23580467869898578816558113541392511
Composite cofactor has 140 digits
software ソフトウェア
GMP-ECM 6.2.2

c140

name 名前Jo Yeong Uk
date 日付June 14, 2014 10:13:43 UTC 2014 年 6 月 14 日 (土) 19 時 13 分 43 秒 (日本時間)
composite number 合成数
58086617139822417192309155633607444600006416172320696813705786684420593367822572818386028872976485426874441318380077890295282806517242070133<140>
prime factors 素因数
36377633729069843384746900576312670219318418207511<50>
1596767331609165137658486729516612424808300734794870594375954221339930310023483523489131603<91>
factorization results 素因数分解の結果
Number: 52229_183
N=58086617139822417192309155633607444600006416172320696813705786684420593367822572818386028872976485426874441318380077890295282806517242070133
  ( 140 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=36377633729069843384746900576312670219318418207511
 r2=1596767331609165137658486729516612424808300734794870594375954221339930310023483523489131603
Version: 
Total time: 110.70 hours.
Scaled time: 581.38 units (timescale=5.252).
Factorization parameters were as follows:
n: 58086617139822417192309155633607444600006416172320696813705786684420593367822572818386028872976485426874441318380077890295282806517242070133
m: 2000000000000000000000000000000000000
deg: 5
c5: 5875
c0: 244
skew: 0.53
# Murphy_E = 4.001e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5

Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4000000, 9100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21291089
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1812939 x 1813187
Total sieving time: 102.92 hours.
Total relation processing time: 2.86 hours.
Matrix solve time: 4.42 hours.
Time per square root: 0.50 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,54,54,2.5,2.5,100000
total time: 110.70 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.94 BogoMIPS (lpj=3399973)
Total of 12 processors activated (81599.35 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)
403e61800300Dmitry DomanovMay 19, 2011 14:05:25 UTC 2011 年 5 月 19 日 (木) 23 時 5 分 25 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:22:32 UTC 2013 年 10 月 13 日 (日) 23 時 22 分 32 秒 (日本時間)
4511e6380 / 390280Rich DickersonNovember 11, 2013 06:16:31 UTC 2013 年 11 月 11 日 (月) 15 時 16 分 31 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:53 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 53 秒 (日本時間)
5043e650 / 7399Rich DickersonNovember 11, 2013 16:10:22 UTC 2013 年 11 月 12 日 (火) 1 時 10 分 22 秒 (日本時間)

47×10185+619

c152

name 名前Ben Meekins
date 日付February 21, 2014 02:48:51 UTC 2014 年 2 月 21 日 (金) 11 時 48 分 51 秒 (日本時間)
composite number 合成数
25028412317019266319700050889611088430813818793112696998602276670419169705510712320949827088140975298937382874206672586378689071733486774359902659786777<152>
prime factors 素因数
15126888535897401145286506087740019307021708797365789354761737829<65>
1654564470256041208354280920387576403846913175918585631803669037250306974060332105455013<88>
factorization results 素因数分解の結果
Number: 52229_185
N = 25028412317019266319700050889611088430813818793112696998602276670419169705510712320949827088140975298937382874206672586378689071733486774359902659786777 (152 digits)
SNFS difficulty: 187 digits.
Divisors found:
r1=15126888535897401145286506087740019307021708797365789354761737829 (pp65)
r2=1654564470256041208354280920387576403846913175918585631803669037250306974060332105455013 (pp88)
Version: Msieve v. 1.52 (SVN 956M)
Total time: 14.15 hours.
Factorization parameters were as follows:
n: 25028412317019266319700050889611088430813818793112696998602276670419169705510712320949827088140975298937382874206672586378689071733486774359902659786777
m: 10000000000000000000000000000000000000
deg: 5
c5: 47
c0: 61
skew: 1.05
# Murphy_E = 5.308e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 21879988
Relations: 3152246 relations
Pruned matrix : 1902346 x 1902572
Polynomial selection time: 0.00 hours.
Total sieving time: 12.81 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.12 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: snfs,187,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,200000
total time: 14.15 hours.
Intel64 Family 6 Model 62 Stepping 4, GenuineIntel
Windows-7-6.1.7600
processors: 12, speed: 3.40GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)
403e61800300Dmitry DomanovMay 19, 2011 14:05:33 UTC 2011 年 5 月 19 日 (木) 23 時 5 分 33 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:22:40 UTC 2013 年 10 月 13 日 (日) 23 時 22 分 40 秒 (日本時間)
4511e6500 / 4077Dmitry DomanovDecember 18, 2013 13:27:14 UTC 2013 年 12 月 18 日 (水) 22 時 27 分 14 秒 (日本時間)

47×10187+619

c121

name 名前Ignacio Santos
date 日付April 16, 2009 12:47:46 UTC 2009 年 4 月 16 日 (木) 21 時 47 分 46 秒 (日本時間)
composite number 合成数
9376637445301894692630526042340308089577381927812760651326578892014175084978443337190895669157712510157322717408832872581<121>
prime factors 素因数
418959790849984109280420085898543<33>
130459351366153640145461498845742658269799017<45>
171553492944694353363214986772791976579824851<45>
factorization results 素因数分解の結果
Number: 52229_187
N=9376637445301894692630526042340308089577381927812760651326578892014175084978443337190895669157712510157322717408832872581
  ( 121 digits)
Divisors found:
 r1=418959790849984109280420085898543 (pp33)
 r2=130459351366153640145461498845742658269799017 (pp45)
 r3=171553492944694353363214986772791976579824851 (pp45)
Version: Msieve-1.39
Total time: 44.72 hours.
Scaled time: 115.52 units (timescale=2.583).
Factorization parameters were as follows:
n: 9376637445301894692630526042340308089577381927812760651326578892014175084978443337190895669157712510157322717408832872581
Y0: -235662499711423574126299
Y1:  7140679275653
c0:  3616806725893284226991581464
c1:  3136244370186715815288714
c2: -77509608345842470109
c3: -1117609557837509
c4:  4914956575
c5:  12900
skew: 113010.98
type: gnfs
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2500000, 4720001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 640055 x 640303
Total sieving time: 44.72 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,27,27,50,50,2.4,2.4,60000
total time: 44.72 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)
403e6500 / 2318Erik BrangerMarch 20, 2009 16:22:54 UTC 2009 年 3 月 21 日 (土) 1 時 22 分 54 秒 (日本時間)

47×10188+619

c143

name 名前Serge Batalov
date 日付March 17, 2009 01:47:11 UTC 2009 年 3 月 17 日 (火) 10 時 47 分 11 秒 (日本時間)
composite number 合成数
14825190605439850962196046396915826403982054725688793499617936107831380097860354355915880678838713750208729991853984058107843379434308448585733<143>
prime factors 素因数
34461699539841418825579125628841351<35>
430193252317702480711040497680446163331824874304874768856386928623928612241031321894543131893971208149393683<108>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2141233825
Step 1 took 7765ms
Step 2 took 7620ms
********** Factor found in step 2: 34461699539841418825579125628841351
Found probable prime factor of 35 digits: 34461699539841418825579125628841351
Probable prime cofactor has 108 digits
software ソフトウェア
GMP-ECM 6.2.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)

47×10189+619

c185

name 名前Robert Backstrom
date 日付March 7, 2010 09:07:27 UTC 2010 年 3 月 7 日 (日) 18 時 7 分 27 秒 (日本時間)
composite number 合成数
14760921747328822772521947449234206520370229042396193817811910053852239404563260442645496364259348766976237742546284126387408870937095546818346129796239608075543256881180547115134875567<185>
prime factors 素因数
30390445707825038960851973251143484945459001<44>
18358209069653071667212608313170676329147161299343189406442330879<65>
26457335036124703173968663913338261158133741397602332844201758028428386579673<77>
factorization results 素因数分解の結果
Number: n
N=14760921747328822772521947449234206520370229042396193817811910053852239404563260442645496364259348766976237742546284126387408870937095546818346129796239608075543256881180547115134875567
  ( 185 digits)
SNFS difficulty: 190 digits.
Divisors found:

Sun Mar  7 20:00:49 2010  prp44 factor: 30390445707825038960851973251143484945459001
Sun Mar  7 20:00:49 2010  prp65 factor: 18358209069653071667212608313170676329147161299343189406442330879
Sun Mar  7 20:00:49 2010  prp77 factor: 26457335036124703173968663913338261158133741397602332844201758028428386579673
Sun Mar  7 20:00:49 2010  elapsed time 06:37:29 (Msieve 1.42 - dependency 2)

Version: 
Total time: 13.33 hours.
Scaled time: 11.22 units (timescale=0.842).
Factorization parameters were as follows:
name: KA_5_2_188_9
n: 14760921747328822772521947449234206520370229042396193817811910053852239404563260442645496364259348766976237742546284126387408870937095546818346129796239608075543256881180547115134875567
m: 10000000000000000000000000000000000000
deg: 5
c5: 470000
c0: 61
skew: 0.17
type: snfs
lss: 1
rlim: 10500000
alim: 10500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 10500000/10500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 8147621)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4104887 hash collisions in 29975781 relations
Msieve: matrix is 1571864 x 1572089 (419.4 MB)

Total sieving time: 13.33 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,190,5,0,0,0,0,0,0,0,0,10500000,10500000,28,28,56,56,2.5,2.5,100000
total time: 13.33 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
351e6904118Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)
786Wataru SakaiAugust 10, 2009 03:24:13 UTC 2009 年 8 月 10 日 (月) 12 時 24 分 13 秒 (日本時間)

47×10190+619

c169

name 名前Serge Batalov
date 日付March 17, 2009 04:10:27 UTC 2009 年 3 月 17 日 (火) 13 時 10 分 27 秒 (日本時間)
composite number 合成数
5987770375419670325338036810551066274805708515520689186191644835658803527275541986386440695319841190999809718556783381799527871534043213542571117234107822252540653280013<169>
prime factors 素因数
93603981074749332057833540879042243<35>
composite cofactor 合成数の残り
63969184928555725419888542337471071127268261667483265316817211212893362944495734135745868593470357733678892956596854054764423090641391<134>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2046487259
Step 1 took 8953ms
Step 2 took 8917ms
********** Factor found in step 2: 93603981074749332057833540879042243
Found probable prime factor of 35 digits: 93603981074749332057833540879042243
Composite cofactor has 134 digits
software ソフトウェア
GMP-ECM 6.2.2

c134

name 名前Robert Backstrom
date 日付April 29, 2012 09:24:19 UTC 2012 年 4 月 29 日 (日) 18 時 24 分 19 秒 (日本時間)
composite number 合成数
63969184928555725419888542337471071127268261667483265316817211212893362944495734135745868593470357733678892956596854054764423090641391<134>
prime factors 素因数
697612395025415850613547631322889179592028979105250284471357<60>
91697316998252532639414805786020554205623777915759292390459284657613028763<74>
factorization results 素因数分解の結果
Number: n
N=63969184928555725419888542337471071127268261667483265316817211212893362944495734135745868593470357733678892956596854054764423090641391
  ( 134 digits)
Divisors found:

Sun Apr 29 19:15:43 2012  prp60 factor: 697612395025415850613547631322889179592028979105250284471357
Sun Apr 29 19:15:43 2012  prp74 factor: 91697316998252532639414805786020554205623777915759292390459284657613028763
Sun Apr 29 19:15:43 2012  elapsed time 03:40:00 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.079).
Factorization parameters were as follows:
name: KA_52229_190
n: 63969184928555725419888542337471071127268261667483265316817211212893362944495734135745868593470357733678892956596854054764423090641391
skew: 50872.05
# norm 4.17e+17
c5: 387720
c4: 241619553384
c3: -4339024667356700
c2: -214711831688404545667
c1: -1080059876681709267172962
c0: -43269360963655270103258156520
# alpha -4.56
Y1: 908147719083989
Y0: -44003721312603629867090791
# Murphy_E 4.55e-11
# M 16770881849675468776030020313947940076456404038566573488654270352652188631382128387304710207315538304973551683244878107321942872645725
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 23820000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 3247201 hash collisions in 13035470 relations (9537621 unique)
Msieve: matrix is 1413279 x 1413504 (408.3 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:
gnfs,133,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)
403e62318500Erik BrangerMay 10, 2009 09:04:45 UTC 2009 年 5 月 10 日 (日) 18 時 4 分 45 秒 (日本時間)
1818Wataru SakaiNovember 29, 2009 04:20:15 UTC 2009 年 11 月 29 日 (日) 13 時 20 分 15 秒 (日本時間)

47×10192+619

c157

composite cofactor 合成数の残り
3960022500052568767482412129258933832274081517595284498776723671764933940648784282207445085157433523333049987889682111023690455185091782142869160593417224129<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)
403e61800300Dmitry DomanovMay 19, 2011 14:05:56 UTC 2011 年 5 月 19 日 (木) 23 時 5 分 56 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:22:50 UTC 2013 年 10 月 13 日 (日) 23 時 22 分 50 秒 (日本時間)
4511e61300 / 40771000Dmitry DomanovNovember 19, 2013 11:58:55 UTC 2013 年 11 月 19 日 (火) 20 時 58 分 55 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:54 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 54 秒 (日本時間)

47×10194+619

c129

name 名前Ignacio Santos
date 日付May 7, 2010 16:17:13 UTC 2010 年 5 月 8 日 (土) 1 時 17 分 13 秒 (日本時間)
composite number 合成数
931725509687744139255081579863422770355653993751208869796014944927240819882115141648448186094926600443458086354442528377048995937<129>
prime factors 素因数
31449927846139949578368413117292041321098081<44>
29625680359139544392198050797703384493675531341424132839677447733601178686924939627777<86>
factorization results 素因数分解の結果
Number: 3
N=931725509687744139255081579863422770355653993751208869796014944927240819882115141648448186094926600443458086354442528377048995937
  ( 129 digits)
Divisors found:
 r1=31449927846139949578368413117292041321098081 (pp44)
 r2=29625680359139544392198050797703384493675531341424132839677447733601178686924939627777 (pp86)
Version: Msieve v. 1.43
Total time: 3.85 hours.
Scaled time: 9.26 units (timescale=2.401).
Factorization parameters were as follows:
# Murphy_E = 8.106731e-11, selected by Jeff Gilchrist
n: 931725509687744139255081579863422770355653993751208869796014944927240819882115141648448186094926600443458086354442528377048995937
Y0: -7121104992231479148033256
Y1: 194953621636543
c0: 1378095214807450998415853130174615
c1: 12761892213051158145976133547
c2: -1012692872261243369043
c3: -72969976797160827
c4: 16857118028
c5: 50880
skew: 657999.41
type: gnfs
# selected mechanically
rlim: 9200000
alim: 9200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9200000/9200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved algebraic special-q in [4600000, 4600000)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1345651 x 1345876
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 3.33 hours.
Time per square root: 0.52 hours.
Prototype def-par.txt line would be:
gnfs,128,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,9200000,9200000,28,28,53,53,2.5,2.5,100000
total time: 3.85 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)
403e62318500Erik BrangerMarch 19, 2009 16:36:16 UTC 2009 年 3 月 20 日 (金) 1 時 36 分 16 秒 (日本時間)
1818Wataru SakaiNovember 30, 2009 17:18:58 UTC 2009 年 12 月 1 日 (火) 2 時 18 分 58 秒 (日本時間)

47×10196+619

c197

name 名前Jo Yeong Uk
date 日付April 17, 2009 04:29:53 UTC 2009 年 4 月 17 日 (金) 13 時 29 分 53 秒 (日本時間)
composite number 合成数
52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229<197>
prime factors 素因数
1579229435921678256326591199705715594120801084508283699645866680988859851099<76>
33068166685826757029330791732171671095878658225580448280795059966475529175322301526715686040210443228306558116508701585871<122>
factorization results 素因数分解の結果
Number: 52229_196
N=52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229
  ( 197 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=1579229435921678256326591199705715594120801084508283699645866680988859851099
 r2=33068166685826757029330791732171671095878658225580448280795059966475529175322301526715686040210443228306558116508701585871
Version: 
Total time: 419.87 hours.
Scaled time: 1003.49 units (timescale=2.390).
Factorization parameters were as follows:
n: 52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229
m: 1000000000000000000000000000000000000000
deg: 5
c5: 470
c0: 61
skew: 0.66
type: snfs
lss: 1
rlim: 18000000
alim: 18000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 18000000/18000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [9000000, 18400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 24409029
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2823593 x 2823841
Total sieving time: 384.51 hours.
Total relation processing time: 12.75 hours.
Matrix solve time: 21.79 hours.
Time per square root: 0.82 hours.
Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,18000000,18000000,28,28,55,55,2.5,2.5,100000
total time: 419.87 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)
786Jo Yeong UkMarch 30, 2009 00:14:28 UTC 2009 年 3 月 30 日 (月) 9 時 14 分 28 秒 (日本時間)
403e62104Jo Yeong UkApril 2, 2009 00:01:05 UTC 2009 年 4 月 2 日 (木) 9 時 1 分 5 秒 (日本時間)

47×10200+619

c198

name 名前Wataru Sakai
date 日付November 29, 2009 07:39:28 UTC 2009 年 11 月 29 日 (日) 16 時 39 分 28 秒 (日本時間)
composite number 合成数
782941862402132267199733466600033316674995835415625520573046809928369148758953856405130767949358654006330168249208728968848908878893886390138264201232716974845910378144261202731967349658504081292687<198>
prime factors 素因数
1821402884526033038533370786121841309816963740679<49>
429856496359875945099381474633284382898100856895829070340592911058234885519310144276396296060479619834175215447282578435029435921107042424727017527353<150>
factorization results 素因数分解の結果
Number: 52229_200
N=782941862402132267199733466600033316674995835415625520573046809928369148758953856405130767949358654006330168249208728968848908878893886390138264201232716974845910378144261202731967349658504081292687
  ( 198 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=1821402884526033038533370786121841309816963740679
 r2=429856496359875945099381474633284382898100856895829070340592911058234885519310144276396296060479619834175215447282578435029435921107042424727017527353
Version: 
Total time: 879.42 hours.
Scaled time: 1768.52 units (timescale=2.011).
Factorization parameters were as follows:
n: 782941862402132267199733466600033316674995835415625520573046809928369148758953856405130767949358654006330168249208728968848908878893886390138264201232716974845910378144261202731967349658504081292687
m: 10000000000000000000000000000000000000000
deg: 5
c5: 47
c0: 61
skew: 1.05
type: snfs
lss: 1
rlim: 16100000
alim: 16100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6Factor base limits: 16100000/16100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8050000, 17750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3153324 x 3153572
Total sieving time: 879.42 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,201,5,0,0,0,0,0,0,0,0,16100000,16100000,29,29,56,56,2.6,2.6,100000
total time: 879.42 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
351e61318118Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)
1200Dmitry DomanovJuly 5, 2009 13:19:56 UTC 2009 年 7 月 5 日 (日) 22 時 19 分 56 秒 (日本時間)
403e62500Dmitry DomanovJuly 5, 2009 13:19:56 UTC 2009 年 7 月 5 日 (日) 22 時 19 分 56 秒 (日本時間)

47×10201+619

c179

composite cofactor 合成数の残り
18468069677985447348595991085277919295493721698112076946693120660705930326801160462605078657547062817127194891913789323089501242259893980564889949167558401391041733282874818753929<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)
403e61800300Dmitry DomanovMay 19, 2011 14:06:07 UTC 2011 年 5 月 19 日 (木) 23 時 6 分 7 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:23:06 UTC 2013 年 10 月 13 日 (日) 23 時 23 分 6 秒 (日本時間)
4511e61300 / 40771000Dmitry DomanovDecember 24, 2013 10:57:19 UTC 2013 年 12 月 24 日 (火) 19 時 57 分 19 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:54 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 54 秒 (日本時間)

47×10202+619

c173

composite cofactor 合成数の残り
60309806769067453478798491937303351328545411875364204694156068072738920348778670301762228581576300711935948422364956649991658232807060243571107213573703990887779759656888787<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)
403e61800300Dmitry DomanovMay 19, 2011 14:06:14 UTC 2011 年 5 月 19 日 (木) 23 時 6 分 14 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:23:12 UTC 2013 年 10 月 13 日 (日) 23 時 23 分 12 秒 (日本時間)
4511e61300 / 40771000Dmitry DomanovDecember 24, 2013 10:57:30 UTC 2013 年 12 月 24 日 (火) 19 時 57 分 30 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:55 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 55 秒 (日本時間)

47×10204+619

c194

name 名前Dmitry Domanov
date 日付May 19, 2011 14:13:18 UTC 2011 年 5 月 19 日 (木) 23 時 13 分 18 秒 (日本時間)
composite number 合成数
26739786533245885037662077530957968667379269514761418496870198585516262634519098079867441653360734215596840718658531018253377868086669413932668708746729647371619487734249208535627998200708845687<194>
prime factors 素因数
222814515928552546450240458078968957<36>
composite cofactor 合成数の残り
120009176340289405066318958397618467197138668739675307820543325707746638616118130891013829394440672341003140456664643255964330119087962151432353740063272965891<159>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1169588101
Step 1 took 84229ms
Step 2 took 29465ms
********** Factor found in step 2: 222814515928552546450240458078968957
Found probable prime factor of 36 digits: 222814515928552546450240458078968957
Composite cofactor 120009176340289405066318958397618467197138668739675307820543325707746638616118130891013829394440672341003140456664643255964330119087962151432353740063272965891 has 159 digits

c159

name 名前matsui
date 日付June 19, 2011 06:28:45 UTC 2011 年 6 月 19 日 (日) 15 時 28 分 45 秒 (日本時間)
composite number 合成数
120009176340289405066318958397618467197138668739675307820543325707746638616118130891013829394440672341003140456664643255964330119087962151432353740063272965891<159>
prime factors 素因数
4385253989569270533776671018621661869<37>
27366528056468851212074843436957186906076931664429244140930164801842994994512733673659083597723369535005852381030431037039<122>
factorization results 素因数分解の結果
120009176340289405066318958397618467197138668739675307820543325707746638616118130891013829394440672341003140456664643255964330119087962151432353740063272965891
=4385253989569270533776671018621661869 * 27366528056468851212074843436957186906076931664429244140930164801842994994512733673659083597723369535005852381030431037039

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 19, 2011 14:06:24 UTC 2011 年 5 月 19 日 (木) 23 時 6 分 24 秒 (日本時間)

47×10205+619

c201

name 名前RSALS + Lionel Debroux + Jeff Gilchrist
date 日付December 21, 2009 20:29:08 UTC 2009 年 12 月 22 日 (火) 5 時 29 分 8 秒 (日本時間)
composite number 合成数
350632967108389602464278333941345818851072750372454274103964912830406294085567872471059724730739992226392516448043281536637787938673548025153066210694603907841719802481735379537806067143975118487831917<201>
prime factors 素因数
20194671096761091832186829435988704365487<41>
9471896794686022886422445694883334722867319<43>
1833069811112554214479030625907879474746219426511471381872548281127265355644588248308625697591882480899120783940961589<118>
factorization results 素因数分解の結果
Sun Dec 20 15:19:03 2009  Msieve v. 1.43
Sun Dec 20 15:19:03 2009  random seeds: 5540a3c0 8848d85a
Sun Dec 20 15:19:03 2009  factoring
350632967108389602464278333941345818851072750372454274103964912830406294085567872471059724730739992226392516448043281536637787938673548025153066210694603907841719802481735379537806067143975118487831917
(201 digits)
Sun Dec 20 15:19:05 2009  no P-1/P+1/ECM available, skipping
Sun Dec 20 15:19:05 2009  commencing number field sieve (201-digit input)
Sun Dec 20 15:19:05 2009  R0: -100000000000000000000000000000000000000000
Sun Dec 20 15:19:05 2009  R1:  1
Sun Dec 20 15:19:05 2009  A0:  61
Sun Dec 20 15:19:05 2009  A1:  0
Sun Dec 20 15:19:05 2009  A2:  0
Sun Dec 20 15:19:05 2009  A3:  0
Sun Dec 20 15:19:05 2009  A4:  0
Sun Dec 20 15:19:05 2009  A5:  47
Sun Dec 20 15:19:05 2009  skew 1.05, size 2.211741e-14, alpha
0.903629, combined = 7.847376e-12
Sun Dec 20 15:19:05 2009
Sun Dec 20 15:19:05 2009  commencing linear algebra
Sun Dec 20 15:19:06 2009  read 2801241 cycles
Sun Dec 20 15:19:13 2009  cycles contain 7840037 unique relations
Sun Dec 20 15:20:33 2009  read 7840037 relations
Sun Dec 20 15:20:48 2009  using 20 quadratic characters above 536866608
Sun Dec 20 15:21:44 2009  building initial matrix
Sun Dec 20 15:24:22 2009  memory use: 1037.1 MB
Sun Dec 20 15:24:27 2009  read 2801241 cycles
Sun Dec 20 15:24:30 2009  matrix is 2800834 x 2801241 (826.2 MB) with
weight 244934261 (87.44/col)
Sun Dec 20 15:24:30 2009  sparse part has weight 185757819 (66.31/col)
Sun Dec 20 15:25:51 2009  filtering completed in 3 passes
Sun Dec 20 15:25:52 2009  matrix is 2794922 x 2795122 (825.1 MB) with
weight 244600938 (87.51/col)
Sun Dec 20 15:25:52 2009  sparse part has weight 185554338 (66.39/col)
Sun Dec 20 15:26:18 2009  read 2795122 cycles
Sun Dec 20 15:26:21 2009  matrix is 2794922 x 2795122 (825.1 MB) with
weight 244600938 (87.51/col)
Sun Dec 20 15:26:21 2009  sparse part has weight 185554338 (66.39/col)
Sun Dec 20 15:26:22 2009  saving the first 48 matrix rows for later
Sun Dec 20 15:26:24 2009  matrix is 2794874 x 2795122 (786.2 MB) with
weight 193230385 (69.13/col)
Sun Dec 20 15:26:24 2009  sparse part has weight 178134501 (63.73/col)
Sun Dec 20 15:26:24 2009  matrix includes 64 packed rows
Sun Dec 20 15:26:24 2009  using block size 65536 for processor cache
size 6144 kB
Sun Dec 20 15:26:40 2009  commencing Lanczos iteration (5 threads)
Sun Dec 20 15:26:40 2009  memory use: 868.2 MB
Sun Dec 20 15:26:55 2009  linear algebra at 0.0%, ETA 14h22m
Mon Dec 21 04:57:45 2009  lanczos halted after 44202 iterations (dim = 2794871)
Mon Dec 21 04:57:53 2009  recovered 35 nontrivial dependencies
Mon Dec 21 04:57:54 2009  BLanczosTime: 49129
Mon Dec 21 04:57:54 2009  elapsed time 13:38:51
Mon Dec 21 05:37:36 2009
Mon Dec 21 05:37:36 2009
Mon Dec 21 05:37:36 2009  Msieve v. 1.43
Mon Dec 21 05:37:36 2009  random seeds: 0aeca43c 249cbc15
Mon Dec 21 05:37:36 2009  factoring
350632967108389602464278333941345818851072750372454274103964912830406294085567872471059724730739992226392516448043281536637787938673548025153066210694603907841719802481735379537806067143975118487831917
(201 digits)
Mon Dec 21 05:37:38 2009  no P-1/P+1/ECM available, skipping
Mon Dec 21 05:37:38 2009  commencing number field sieve (201-digit input)
Mon Dec 21 05:37:38 2009  R0: -100000000000000000000000000000000000000000
Mon Dec 21 05:37:38 2009  R1:  1
Mon Dec 21 05:37:38 2009  A0:  61
Mon Dec 21 05:37:38 2009  A1:  0
Mon Dec 21 05:37:38 2009  A2:  0
Mon Dec 21 05:37:38 2009  A3:  0
Mon Dec 21 05:37:39 2009  A4:  0
Mon Dec 21 05:37:39 2009  A5:  47
Mon Dec 21 05:37:39 2009  skew 1.05, size 2.211741e-14, alpha
0.903629, combined = 7.847376e-12
Mon Dec 21 05:37:39 2009
Mon Dec 21 05:37:39 2009  commencing square root phase
Mon Dec 21 05:37:39 2009  reading relations for dependency 1
Mon Dec 21 05:37:39 2009  read 1398917 cycles
Mon Dec 21 05:37:43 2009  cycles contain 3920050 unique relations
Mon Dec 21 05:38:29 2009  read 3920050 relations
Mon Dec 21 05:38:59 2009  multiplying 3920050 relations
Mon Dec 21 05:42:51 2009  multiply complete, coefficients have about
115.67 million bits
Mon Dec 21 05:42:52 2009  initial square root is modulo 200748451
Mon Dec 21 05:50:46 2009  reading relations for dependency 2
Mon Dec 21 05:50:46 2009  read 1397154 cycles
Mon Dec 21 05:50:50 2009  cycles contain 3917288 unique relations
Mon Dec 21 05:51:37 2009  read 3917288 relations
Mon Dec 21 05:52:06 2009  multiplying 3917288 relations
Mon Dec 21 05:55:55 2009  multiply complete, coefficients have about
115.60 million bits
Mon Dec 21 05:55:56 2009  initial square root is modulo 198217301
Mon Dec 21 06:03:50 2009  sqrtTime: 1571
Mon Dec 21 06:03:50 2009  prp41 factor:
20194671096761091832186829435988704365487
Mon Dec 21 06:03:50 2009  prp43 factor:
9471896794686022886422445694883334722867319
Mon Dec 21 06:03:50 2009  prp118 factor:
1833069811112554214479030625907879474746219426511471381872548281127265355644588248308625697591882480899120783940961589
Mon Dec 21 06:03:50 2009  elapsed time 00:26:14
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve (Lionel Debroux + Jeff Gilchrist)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61318118Makoto KamadaMarch 16, 2009 15:00:00 UTC 2009 年 3 月 17 日 (火) 0 時 0 分 0 秒 (日本時間)
1200Dmitry DomanovJuly 2, 2009 20:33:07 UTC 2009 年 7 月 3 日 (金) 5 時 33 分 7 秒 (日本時間)
403e62500Dmitry DomanovJuly 2, 2009 20:33:07 UTC 2009 年 7 月 3 日 (金) 5 時 33 分 7 秒 (日本時間)

47×10206+619

c149

composite cofactor 合成数の残り
22886087347676834882827571208934998492114644528926887103197767967492592008289518799995970621889722489972344374128553335458209423876680147434838871689<149>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 1, 2013 13:00:00 UTC 2013 年 10 月 1 日 (火) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:23:20 UTC 2013 年 10 月 13 日 (日) 23 時 23 分 20 秒 (日本時間)
4511e61800 / 41431500Dmitry DomanovNovember 6, 2013 13:03:07 UTC 2013 年 11 月 6 日 (水) 22 時 3 分 7 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:55 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 55 秒 (日本時間)

47×10207+619

c185

name 名前Dmitry Domanov
date 日付October 7, 2013 05:42:15 UTC 2013 年 10 月 7 日 (月) 14 時 42 分 15 秒 (日本時間)
composite number 合成数
42922766592641068818755228257929468600981417024661394583483048914703045844237780033669624743405554348211440874052509614488168272660312205057141751207310277948868024128823485503731391391<185>
prime factors 素因数
47868323574974187327656654972610491<35>
composite cofactor 合成数の残り
896684140722264987586316698537256904139272427019547258672689619637874042334895047970086672453033212892129590205050494321483644098361826262806816129901<150>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2079500581
Step 1 took 22774ms
Step 2 took 9241ms
********** Factor found in step 2: 47868323574974187327656654972610491
Found probable prime factor of 35 digits: 47868323574974187327656654972610491

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 1, 2013 13:00:00 UTC 2013 年 10 月 1 日 (火) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:23:27 UTC 2013 年 10 月 13 日 (日) 23 時 23 分 27 秒 (日本時間)
4511e61800 / 41431500Dmitry DomanovNovember 6, 2013 13:03:22 UTC 2013 年 11 月 6 日 (水) 22 時 3 分 22 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:55 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 55 秒 (日本時間)

47×10210+619

c210

name 名前Dmitry Domanov
date 日付October 4, 2013 05:29:53 UTC 2013 年 10 月 4 日 (金) 14 時 29 分 53 秒 (日本時間)
composite number 合成数
193415637860082304526748971193415637860082304526748971193415637860082304526748971193415637860082304526748971193415637860082304526748971193415637860082304526748971193415637860082304526748971193415637860082304527<210>
prime factors 素因数
1681168834910816517640498457807<31>
composite cofactor 合成数の残り
115048312723654976446806112492815930064121857234738837033727180507452502383356598002143872155530080111302238156025664112815845911345438401972993451620408139312583874620125251936961<180>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3155119996
Step 1 took 26679ms
Step 2 took 10307ms
********** Factor found in step 2: 1681168834910816517640498457807
Found probable prime factor of 31 digits: 1681168834910816517640498457807

c180

name 名前Dmitry Domanov
date 日付October 9, 2013 05:36:23 UTC 2013 年 10 月 9 日 (水) 14 時 36 分 23 秒 (日本時間)
composite number 合成数
115048312723654976446806112492815930064121857234738837033727180507452502383356598002143872155530080111302238156025664112815845911345438401972993451620408139312583874620125251936961<180>
prime factors 素因数
609889037568493449191774794647883649873369<42>
188638105682846450473518184826175588756941060068281536773151361921438408385243683467212262421780051494804865446671878876364661592478710569<138>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2799143315
Step 1 took 32142ms
Step 2 took 11112ms
********** Factor found in step 2: 609889037568493449191774794647883649873369
Found probable prime factor of 42 digits: 609889037568493449191774794647883649873369

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 1, 2013 13:00:00 UTC 2013 年 10 月 1 日 (火) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 3, 2013 19:47:58 UTC 2013 年 10 月 4 日 (金) 4 時 47 分 58 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 3, 2013 19:47:58 UTC 2013 年 10 月 4 日 (金) 4 時 47 分 58 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 3, 2013 19:47:58 UTC 2013 年 10 月 4 日 (金) 4 時 47 分 58 秒 (日本時間)

47×10211+619

c186

name 名前Dmitry Domanov
date 日付October 4, 2013 05:31:17 UTC 2013 年 10 月 4 日 (金) 14 時 31 分 17 秒 (日本時間)
composite number 合成数
350107781301142641317809028059487293838277659799017408235514849596933585169963919753356130687409248153788458189603783086329260122845086856367113957050182122695907883661142955742647902603<186>
prime factors 素因数
16614761702690402342585980439893<32>
composite cofactor 合成数の残り
21072091647540767111097288632807958027307108201927462407069569709956505411304986082644265755046741318814592286702526107951009293093150749781387904300741471<155>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=914527662
Step 1 took 22897ms
********** Factor found in step 1: 16614761702690402342585980439893
Found probable prime factor of 32 digits: 16614761702690402342585980439893

c155

name 名前Dmitry Domanov
date 日付October 7, 2013 05:40:17 UTC 2013 年 10 月 7 日 (月) 14 時 40 分 17 秒 (日本時間)
composite number 合成数
21072091647540767111097288632807958027307108201927462407069569709956505411304986082644265755046741318814592286702526107951009293093150749781387904300741471<155>
prime factors 素因数
20882859778204102034766219763562236729<38>
1009061587892965240395337855515091876727145414411080733232451855529737114221369150098688808340507082211822525241555799<118>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2370844119
Step 1 took 20887ms
Step 2 took 7841ms
********** Factor found in step 2: 20882859778204102034766219763562236729
Found probable prime factor of 38 digits: 20882859778204102034766219763562236729

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 1, 2013 13:00:00 UTC 2013 年 10 月 1 日 (火) 22 時 0 分 0 秒 (日本時間)

47×10213+619

c181

name 名前Dmitry Domanov
date 日付October 7, 2013 05:39:34 UTC 2013 年 10 月 7 日 (月) 14 時 39 分 34 秒 (日本時間)
composite number 合成数
5642179254179958449181656028933159039289087680830037619233530651092908551276840044379715418043519154100439198901148261095319797148645635550028824276059833502984373112304434226897983<181>
prime factors 素因数
36619529334808350567661793348057531<35>
154075690121359310139547755470653033307339950933661346769721187353256132588878647103127530367792875725284275774970855664194879422744738992447759693<147>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3829028127
Step 1 took 22749ms
Step 2 took 8936ms
********** Factor found in step 2: 36619529334808350567661793348057531
Found probable prime factor of 35 digits: 36619529334808350567661793348057531

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 1, 2013 13:00:00 UTC 2013 年 10 月 1 日 (火) 22 時 0 分 0 秒 (日本時間)

47×10214+619

c197

composite cofactor 合成数の残り
42428823182662106101159323580567012087366216214373184454673823397219919560785954515651441224521438441707512899508103835478035779622279529627851180733490399017458154876923123368354716927039778219409<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 1, 2013 13:00:00 UTC 2013 年 10 月 1 日 (火) 22 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovOctober 13, 2013 14:23:38 UTC 2013 年 10 月 13 日 (日) 23 時 23 分 38 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:46:49 UTC 2014 年 1 月 9 日 (木) 13 時 46 分 49 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:57 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 57 秒 (日本時間)

47×10215+619

c168

composite cofactor 合成数の残り
589672226758273838055062418625045001732769389763087624893314894001640498814946487731873294270926877294204371880108553299283864586420224590944437108138234038295234106943<168>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 1, 2013 13:00:00 UTC 2013 年 10 月 1 日 (火) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:23:45 UTC 2013 年 10 月 13 日 (日) 23 時 23 分 45 秒 (日本時間)
4511e61800 / 41431500Dmitry DomanovNovember 19, 2013 11:57:34 UTC 2013 年 11 月 19 日 (火) 20 時 57 分 34 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:56 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 56 秒 (日本時間)

47×10216+619

c200

composite cofactor 合成数の残り
18916909613450531853804251601758550527038467317291948396828854717668951883166176693150297295426531206158554957577318056927197812190732765068476539870142817571323382991574297235309375629008974090324489<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 1, 2013 13:00:00 UTC 2013 年 10 月 1 日 (火) 22 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovOctober 13, 2013 14:23:53 UTC 2013 年 10 月 13 日 (日) 23 時 23 分 53 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:46:50 UTC 2014 年 1 月 9 日 (木) 13 時 46 分 50 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:58 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 58 秒 (日本時間)

47×10217+619

c218

name 名前Alfred Reich
date 日付February 25, 2017 15:51:24 UTC 2017 年 2 月 26 日 (日) 0 時 51 分 24 秒 (日本時間)
composite number 合成数
52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229<218>
prime factors 素因数
98196822291987017003179587967833368529376409955839<50>
531811732837342747647725554123297818219750938559621417351282351990709770571743142991528778576012570822893173012565006469267460844209764920664880477080062699624995772011<168>
factorization results 素因数分解の結果
# siever: 14e
# qrange: 1M .. 76.4M
# params: rlim=alim: 31000000, lpbr=lpba: 29, mfbr=mfba: 58, rlambda=alambda: 2.6
# very bad params
Thu Feb 16 15:35:05 2017  
Thu Feb 16 15:35:06 2017  
Thu Feb 16 15:35:06 2017  Msieve v. 1.53 (SVN unknown)
Thu Feb 16 15:35:06 2017  random seeds: ae5ecff0 49a2541b
Thu Feb 16 15:35:06 2017  factoring 52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229 (218 digits)
Thu Feb 16 15:35:08 2017  no P-1/P+1/ECM available, skipping
Thu Feb 16 15:35:08 2017  commencing number field sieve (218-digit input)
Thu Feb 16 15:35:08 2017  R0: -1000000000000000000000000000000000000
Thu Feb 16 15:35:08 2017  R1: 1
Thu Feb 16 15:35:08 2017  A0: 61
Thu Feb 16 15:35:08 2017  A1: 0
Thu Feb 16 15:35:08 2017  A2: 0
Thu Feb 16 15:35:08 2017  A3: 0
Thu Feb 16 15:35:08 2017  A4: 0
Thu Feb 16 15:35:08 2017  A5: 0
Thu Feb 16 15:35:08 2017  A6: 470
Thu Feb 16 15:35:08 2017  skew 0.71, size 2.854e-011, alpha 1.610, combined = 1.394e-012 rroots = 0
Thu Feb 16 15:35:08 2017  
Thu Feb 16 15:35:08 2017  commencing relation filtering
Thu Feb 16 15:35:08 2017  estimated available RAM is 24567.3 MB
Thu Feb 16 15:35:08 2017  commencing duplicate removal, pass 1
Thu Feb 16 15:49:48 2017  skipped 4 relations with b > 2^32
Thu Feb 16 15:49:48 2017  skipped 2 relations with composite factors
Thu Feb 16 15:49:48 2017  found 16177186 hash collisions in 64028044 relations
Thu Feb 16 15:50:18 2017  added 1218575 free relations
Thu Feb 16 15:50:18 2017  commencing duplicate removal, pass 2
Thu Feb 16 15:50:57 2017  found 18251817 duplicates and 46994802 unique relations
Thu Feb 16 15:50:57 2017  memory use: 362.4 MB
Thu Feb 16 15:50:58 2017  reading ideals above 720000
Thu Feb 16 15:50:58 2017  commencing singleton removal, initial pass
Thu Feb 16 16:01:09 2017  memory use: 1378.0 MB
Thu Feb 16 16:01:10 2017  reading all ideals from disk
Thu Feb 16 16:01:11 2017  memory use: 1724.0 MB
Thu Feb 16 16:01:17 2017  keeping 49883696 ideals with weight <= 200, target excess is 261012
Thu Feb 16 16:01:23 2017  commencing in-memory singleton removal
Thu Feb 16 16:01:28 2017  begin with 46994802 relations and 49883696 unique ideals
Thu Feb 16 16:02:17 2017  reduce to 23358469 relations and 22674646 ideals in 18 passes
Thu Feb 16 16:02:17 2017  max relations containing the same ideal: 129
Thu Feb 16 16:02:29 2017  removing 1811858 relations and 1621333 ideals in 190525 cliques
Thu Feb 16 16:02:30 2017  commencing in-memory singleton removal
Thu Feb 16 16:02:32 2017  begin with 21546611 relations and 22674646 unique ideals
Thu Feb 16 16:02:52 2017  reduce to 21418347 relations and 20923420 ideals in 9 passes
Thu Feb 16 16:02:52 2017  max relations containing the same ideal: 125
Thu Feb 16 16:03:03 2017  removing 1322205 relations and 1131680 ideals in 190525 cliques
Thu Feb 16 16:03:03 2017  commencing in-memory singleton removal
Thu Feb 16 16:03:06 2017  begin with 20096142 relations and 20923420 unique ideals
Thu Feb 16 16:03:22 2017  reduce to 20024092 relations and 19719007 ideals in 8 passes
Thu Feb 16 16:03:22 2017  max relations containing the same ideal: 120
Thu Feb 16 16:03:36 2017  relations with 0 large ideals: 9098
Thu Feb 16 16:03:36 2017  relations with 1 large ideals: 5055
Thu Feb 16 16:03:36 2017  relations with 2 large ideals: 38420
Thu Feb 16 16:03:36 2017  relations with 3 large ideals: 274303
Thu Feb 16 16:03:36 2017  relations with 4 large ideals: 1164849
Thu Feb 16 16:03:36 2017  relations with 5 large ideals: 3024446
Thu Feb 16 16:03:36 2017  relations with 6 large ideals: 4950512
Thu Feb 16 16:03:36 2017  relations with 7+ large ideals: 10557409
Thu Feb 16 16:03:36 2017  commencing 2-way merge
Thu Feb 16 16:03:52 2017  reduce to 12785948 relation sets and 12480863 unique ideals
Thu Feb 16 16:03:53 2017  commencing full merge
Thu Feb 16 16:07:44 2017  memory use: 1470.5 MB
Thu Feb 16 16:07:46 2017  found 6702673 cycles, need 6663063
Thu Feb 16 16:07:47 2017  weight of 6663063 cycles is about 466555648 (70.02/cycle)
Thu Feb 16 16:07:47 2017  distribution of cycle lengths:
Thu Feb 16 16:07:47 2017  1 relations: 861362
Thu Feb 16 16:07:47 2017  2 relations: 910038
Thu Feb 16 16:07:47 2017  3 relations: 896536
Thu Feb 16 16:07:47 2017  4 relations: 768345
Thu Feb 16 16:07:47 2017  5 relations: 642178
Thu Feb 16 16:07:47 2017  6 relations: 527168
Thu Feb 16 16:07:47 2017  7 relations: 433102
Thu Feb 16 16:07:47 2017  8 relations: 345803
Thu Feb 16 16:07:47 2017  9 relations: 278952
Thu Feb 16 16:07:47 2017  10+ relations: 999579
Thu Feb 16 16:07:47 2017  heaviest cycle: 24 relations
Thu Feb 16 16:07:48 2017  commencing cycle optimization
Thu Feb 16 16:07:57 2017  start with 35895356 relations
Thu Feb 16 16:09:06 2017  pruned 814155 relations
Thu Feb 16 16:09:06 2017  memory use: 1188.0 MB
Thu Feb 16 16:09:06 2017  distribution of cycle lengths:
Thu Feb 16 16:09:06 2017  1 relations: 861362
Thu Feb 16 16:09:06 2017  2 relations: 929119
Thu Feb 16 16:09:06 2017  3 relations: 928110
Thu Feb 16 16:09:06 2017  4 relations: 782890
Thu Feb 16 16:09:06 2017  5 relations: 653041
Thu Feb 16 16:09:06 2017  6 relations: 529054
Thu Feb 16 16:09:06 2017  7 relations: 430947
Thu Feb 16 16:09:06 2017  8 relations: 341114
Thu Feb 16 16:09:06 2017  9 relations: 273082
Thu Feb 16 16:09:06 2017  10+ relations: 934344
Thu Feb 16 16:09:06 2017  heaviest cycle: 24 relations
Thu Feb 16 16:09:20 2017  RelProcTime: 2052
Thu Feb 16 16:09:20 2017  
Thu Feb 16 16:09:20 2017  commencing linear algebra
Thu Feb 16 16:09:21 2017  read 6663063 cycles
Thu Feb 16 16:09:33 2017  cycles contain 19718430 unique relations
Thu Feb 16 16:12:50 2017  read 19718430 relations
Thu Feb 16 16:13:23 2017  using 20 quadratic characters above 1073708682
Thu Feb 16 16:14:57 2017  building initial matrix
Thu Feb 16 16:19:05 2017  memory use: 2509.9 MB
Thu Feb 16 16:19:13 2017  read 6663063 cycles
Thu Feb 16 16:19:15 2017  matrix is 6662882 x 6663063 (2004.4 MB) with weight 581180549 (87.22/col)
Thu Feb 16 16:19:15 2017  sparse part has weight 452153876 (67.86/col)
Thu Feb 16 16:20:18 2017  filtering completed in 2 passes
Thu Feb 16 16:20:21 2017  matrix is 6657401 x 6657582 (2004.0 MB) with weight 581029502 (87.27/col)
Thu Feb 16 16:20:21 2017  sparse part has weight 452109664 (67.91/col)
Thu Feb 16 16:21:42 2017  matrix starts at (0, 0)
Thu Feb 16 16:21:44 2017  matrix is 6657401 x 6657582 (2004.0 MB) with weight 581029502 (87.27/col)
Thu Feb 16 16:21:44 2017  sparse part has weight 452109664 (67.91/col)
Thu Feb 16 16:21:44 2017  saving the first 48 matrix rows for later
Thu Feb 16 16:21:46 2017  matrix includes 64 packed rows
Thu Feb 16 16:21:48 2017  matrix is 6657353 x 6657582 (1905.5 MB) with weight 464655088 (69.79/col)
Thu Feb 16 16:21:48 2017  sparse part has weight 432935846 (65.03/col)
Thu Feb 16 16:21:48 2017  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Thu Feb 16 16:22:16 2017  commencing Lanczos iteration (12 threads)
Thu Feb 16 16:22:16 2017  memory use: 1576.6 MB
Thu Feb 16 16:22:33 2017  linear algebra at 0.0%, ETA 19h30m
Thu Feb 16 16:22:38 2017  checkpointing every 350000 dimensions
Fri Feb 17 10:35:23 2017  lanczos halted after 105280 iterations (dim = 6657353)
Fri Feb 17 10:35:29 2017  recovered 35 nontrivial dependencies
Fri Feb 17 10:35:33 2017  BLanczosTime: 66373
Fri Feb 17 10:35:33 2017  
Fri Feb 17 10:35:33 2017  commencing square root phase
Fri Feb 17 10:35:33 2017  reading relations for dependency 1
Fri Feb 17 10:35:34 2017  read 3331112 cycles
Fri Feb 17 10:35:40 2017  cycles contain 9864100 unique relations
Fri Feb 17 10:37:21 2017  read 9864100 relations
Fri Feb 17 10:38:25 2017  multiplying 9864100 relations
Fri Feb 17 10:54:16 2017  multiply complete, coefficients have about 323.77 million bits
Fri Feb 17 10:54:20 2017  initial square root is modulo 644863
Fri Feb 17 11:13:29 2017  sqrtTime: 2276
Fri Feb 17 11:13:29 2017  prp50 factor: 98196822291987017003179587967833368529376409955839
Fri Feb 17 11:13:29 2017  prp168 factor: 531811732837342747647725554123297818219750938559621417351282351990709770571743142991528778576012570822893173012565006469267460844209764920664880477080062699624995772011
Fri Feb 17 11:13:29 2017  elapsed time 19:38:23

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 1, 2013 13:00:00 UTC 2013 年 10 月 1 日 (火) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 4, 2013 15:43:22 UTC 2013 年 10 月 5 日 (土) 0 時 43 分 22 秒 (日本時間)
403e61610110Ignacio SantosOctober 4, 2013 15:43:22 UTC 2013 年 10 月 5 日 (土) 0 時 43 分 22 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:24:00 UTC 2013 年 10 月 13 日 (日) 23 時 24 分 0 秒 (日本時間)
4511e6508232Ignacio SantosOctober 4, 2013 15:43:22 UTC 2013 年 10 月 5 日 (土) 0 時 43 分 22 秒 (日本時間)
2000Dmitry DomanovOctober 25, 2013 09:54:48 UTC 2013 年 10 月 25 日 (金) 18 時 54 分 48 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:49 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 49 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:00 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 0 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:25 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 25 秒 (日本時間)

47×10218+619

c198

composite cofactor 合成数の残り
124248328221567092097079547857136810752549133382832135954113482609866448181994940518030356362544426050058190352064402298892981772663366432607673500501405275799612076914927916072822366887932355328711<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 1, 2013 13:00:00 UTC 2013 年 10 月 1 日 (火) 22 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovOctober 13, 2013 14:24:07 UTC 2013 年 10 月 13 日 (日) 23 時 24 分 7 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:46:52 UTC 2014 年 1 月 9 日 (木) 13 時 46 分 52 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:58 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 58 秒 (日本時間)

47×10219+619

c196

composite cofactor 合成数の残り
3291942447825904684183931918895205583786876648047086172684933647496719679959337422645586736785475893173440921315642582293027693753531485635986220247020957329144817231626652303447023576696263583427<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 1, 2013 13:00:00 UTC 2013 年 10 月 1 日 (火) 22 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovOctober 13, 2013 14:24:14 UTC 2013 年 10 月 13 日 (日) 23 時 24 分 14 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:46:52 UTC 2014 年 1 月 9 日 (木) 13 時 46 分 52 秒 (日本時間)
4511e6451 / 4077151CypFebruary 17, 2014 15:36:56 UTC 2014 年 2 月 18 日 (火) 0 時 36 分 56 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:56 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 56 秒 (日本時間)

47×10220+619

c221

name 名前Alfred Reich
date 日付March 28, 2017 14:55:12 UTC 2017 年 3 月 28 日 (火) 23 時 55 分 12 秒 (日本時間)
composite number 合成数
52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229<221>
prime factors 素因数
47070091947390813718645108799488852490845863085765872755847796788986863888655389<80>
1109456558542308117469696642272548971926614325287110781396094758885955805330300009179561804247810047768910055518280687323065377568562940441561<142>
factorization results 素因数分解の結果
# siever: 14e
# qrange: 8M .. 100M
# params (bad): rlim=alim: 37000000, lpbr=lpba: 29, mfbr=mfba: 58, rlambda=alambda: 2.6
Sat Mar 18 12:08:43 2017  
Sat Mar 18 12:08:43 2017  
Sat Mar 18 12:08:43 2017  Msieve v. 1.53 (SVN 988)
Sat Mar 18 12:08:43 2017  random seeds: 82d1ffd8 06b2f5ec
Sat Mar 18 12:08:43 2017  factoring 52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229 (221 digits)
Sat Mar 18 12:08:45 2017  searching for 15-digit factors
Sat Mar 18 12:08:46 2017  commencing number field sieve (221-digit input)
Sat Mar 18 12:08:46 2017  R0: -5000000000000000000000000000000000000
Sat Mar 18 12:08:46 2017  R1: 1
Sat Mar 18 12:08:46 2017  A0: 1525
Sat Mar 18 12:08:46 2017  A1: 0
Sat Mar 18 12:08:46 2017  A2: 0
Sat Mar 18 12:08:46 2017  A3: 0
Sat Mar 18 12:08:46 2017  A4: 0
Sat Mar 18 12:08:46 2017  A5: 0
Sat Mar 18 12:08:46 2017  A6: 752
Sat Mar 18 12:08:46 2017  skew 1.13, size 1.740e-011, alpha 0.117, combined = 9.808e-013 rroots = 0
Sat Mar 18 12:08:46 2017  
Sat Mar 18 12:08:46 2017  commencing relation filtering
Sat Mar 18 12:08:46 2017  estimated available RAM is 130995.6 MB
Sat Mar 18 12:09:15 2017  
Sat Mar 18 12:09:15 2017  
Sat Mar 18 12:09:15 2017  Msieve v. 1.53 (SVN 988)
Sat Mar 18 12:09:15 2017  random seeds: e1fc5588 07afe0aa
Sat Mar 18 12:09:15 2017  factoring 52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229 (221 digits)
Sat Mar 18 12:09:16 2017  searching for 15-digit factors
Sat Mar 18 12:09:16 2017  commencing number field sieve (221-digit input)
Sat Mar 18 12:09:16 2017  R0: -5000000000000000000000000000000000000
Sat Mar 18 12:09:16 2017  R1: 1
Sat Mar 18 12:09:16 2017  A0: 1525
Sat Mar 18 12:09:16 2017  A1: 0
Sat Mar 18 12:09:16 2017  A2: 0
Sat Mar 18 12:09:16 2017  A3: 0
Sat Mar 18 12:09:16 2017  A4: 0
Sat Mar 18 12:09:16 2017  A5: 0
Sat Mar 18 12:09:16 2017  A6: 752
Sat Mar 18 12:09:16 2017  skew 1.13, size 1.740e-011, alpha 0.117, combined = 9.808e-013 rroots = 0
Sat Mar 18 12:09:16 2017  
Sat Mar 18 12:09:16 2017  commencing relation filtering
Sat Mar 18 12:09:16 2017  estimated available RAM is 130995.6 MB
Sat Mar 18 12:09:16 2017  commencing duplicate removal, pass 1
Sat Mar 18 12:11:26 2017  error -11 reading relation 15126933
Sat Mar 18 12:16:02 2017  found 1782448 hash collisions in 44969083 relations
Sat Mar 18 12:16:19 2017  added 1217396 free relations
Sat Mar 18 12:16:19 2017  commencing duplicate removal, pass 2
Sat Mar 18 12:16:38 2017  found 0 duplicates and 46186479 unique relations
Sat Mar 18 12:16:38 2017  memory use: 130.6 MB
Sat Mar 18 12:16:38 2017  reading ideals above 720000
Sat Mar 18 12:16:38 2017  commencing singleton removal, initial pass
Sat Mar 18 12:22:54 2017  memory use: 1378.0 MB
Sat Mar 18 12:22:54 2017  reading all ideals from disk
Sat Mar 18 12:22:55 2017  memory use: 1707.2 MB
Sat Mar 18 12:22:59 2017  keeping 46871996 ideals with weight <= 200, target excess is 254892
Sat Mar 18 12:23:04 2017  commencing in-memory singleton removal
Sat Mar 18 12:23:08 2017  begin with 46186479 relations and 46871996 unique ideals
Sat Mar 18 12:24:05 2017  reduce to 27523296 relations and 26045063 ideals in 20 passes
Sat Mar 18 12:24:05 2017  max relations containing the same ideal: 148
Sat Mar 18 12:24:17 2017  removing 2708823 relations and 2308823 ideals in 400000 cliques
Sat Mar 18 12:24:18 2017  commencing in-memory singleton removal
Sat Mar 18 12:24:20 2017  begin with 24814473 relations and 26045063 unique ideals
Sat Mar 18 12:24:45 2017  reduce to 24578256 relations and 23495336 ideals in 9 passes
Sat Mar 18 12:24:45 2017  max relations containing the same ideal: 140
Sat Mar 18 12:25:03 2017  removing 2048944 relations and 1648944 ideals in 400000 cliques
Sat Mar 18 12:25:08 2017  commencing in-memory singleton removal
Sat Mar 18 12:25:10 2017  begin with 22529312 relations and 23495336 unique ideals
Sat Mar 18 12:25:27 2017  reduce to 22385341 relations and 21699896 ideals in 9 passes
Sat Mar 18 12:25:27 2017  max relations containing the same ideal: 131
Sat Mar 18 12:25:37 2017  removing 1812514 relations and 1422744 ideals in 389770 cliques
Sat Mar 18 12:25:37 2017  commencing in-memory singleton removal
Sat Mar 18 12:25:39 2017  begin with 20572827 relations and 21699896 unique ideals
Sat Mar 18 12:25:54 2017  reduce to 20448334 relations and 20150592 ideals in 8 passes
Sat Mar 18 12:25:54 2017  max relations containing the same ideal: 121
Sat Mar 18 12:26:05 2017  relations with 0 large ideals: 9202
Sat Mar 18 12:26:05 2017  relations with 1 large ideals: 4077
Sat Mar 18 12:26:05 2017  relations with 2 large ideals: 34000
Sat Mar 18 12:26:05 2017  relations with 3 large ideals: 248733
Sat Mar 18 12:26:05 2017  relations with 4 large ideals: 1072912
Sat Mar 18 12:26:05 2017  relations with 5 large ideals: 2870263
Sat Mar 18 12:26:05 2017  relations with 6 large ideals: 4870063
Sat Mar 18 12:26:05 2017  relations with 7+ large ideals: 11339084
Sat Mar 18 12:26:05 2017  commencing 2-way merge
Sat Mar 18 12:26:18 2017  reduce to 13743905 relation sets and 13446163 unique ideals
Sat Mar 18 12:26:18 2017  commencing full merge
Sat Mar 18 12:29:41 2017  memory use: 1561.5 MB
Sat Mar 18 12:29:43 2017  found 7179638 cycles, need 7138363
Sat Mar 18 12:29:44 2017  weight of 7138363 cycles is about 499707098 (70.00/cycle)
Sat Mar 18 12:29:44 2017  distribution of cycle lengths:
Sat Mar 18 12:29:44 2017  1 relations: 819856
Sat Mar 18 12:29:44 2017  2 relations: 925403
Sat Mar 18 12:29:44 2017  3 relations: 958360
Sat Mar 18 12:29:44 2017  4 relations: 856384
Sat Mar 18 12:29:44 2017  5 relations: 737104
Sat Mar 18 12:29:44 2017  6 relations: 623096
Sat Mar 18 12:29:44 2017  7 relations: 517017
Sat Mar 18 12:29:44 2017  8 relations: 419427
Sat Mar 18 12:29:44 2017  9 relations: 335269
Sat Mar 18 12:29:44 2017  10+ relations: 946447
Sat Mar 18 12:29:44 2017  heaviest cycle: 22 relations
Sat Mar 18 12:29:45 2017  commencing cycle optimization
Sat Mar 18 12:29:52 2017  start with 37835239 relations
Sat Mar 18 12:30:46 2017  pruned 964283 relations
Sat Mar 18 12:30:46 2017  memory use: 1234.2 MB
Sat Mar 18 12:30:46 2017  distribution of cycle lengths:
Sat Mar 18 12:30:46 2017  1 relations: 819856
Sat Mar 18 12:30:46 2017  2 relations: 947176
Sat Mar 18 12:30:46 2017  3 relations: 995163
Sat Mar 18 12:30:46 2017  4 relations: 877226
Sat Mar 18 12:30:46 2017  5 relations: 753845
Sat Mar 18 12:30:46 2017  6 relations: 628224
Sat Mar 18 12:30:46 2017  7 relations: 517660
Sat Mar 18 12:30:46 2017  8 relations: 413672
Sat Mar 18 12:30:46 2017  9 relations: 327876
Sat Mar 18 12:30:46 2017  10+ relations: 857665
Sat Mar 18 12:30:46 2017  heaviest cycle: 21 relations
Sat Mar 18 12:30:53 2017  RelProcTime: 1297
Sat Mar 18 12:30:53 2017  
Sat Mar 18 12:30:53 2017  commencing linear algebra
Sat Mar 18 12:30:54 2017  read 7138363 cycles
Sat Mar 18 12:31:03 2017  cycles contain 20210445 unique relations
Sat Mar 18 12:33:02 2017  read 20210445 relations
Sat Mar 18 12:33:31 2017  using 20 quadratic characters above 4294917295
Sat Mar 18 12:34:51 2017  building initial matrix
Sat Mar 18 12:37:41 2017  memory use: 2585.0 MB
Sat Mar 18 12:37:45 2017  read 7138363 cycles
Sat Mar 18 12:37:46 2017  matrix is 7138186 x 7138363 (2115.7 MB) with weight 615798170 (86.27/col)
Sat Mar 18 12:37:46 2017  sparse part has weight 483225644 (67.69/col)
Sat Mar 18 12:38:41 2017  filtering completed in 2 passes
Sat Mar 18 12:38:42 2017  matrix is 7134841 x 7135018 (2115.5 MB) with weight 615715028 (86.29/col)
Sat Mar 18 12:38:42 2017  sparse part has weight 483203430 (67.72/col)
Sat Mar 18 12:38:56 2017  matrix starts at (0, 0)
Sat Mar 18 12:38:57 2017  matrix is 7134841 x 7135018 (2115.5 MB) with weight 615715028 (86.29/col)
Sat Mar 18 12:38:57 2017  sparse part has weight 483203430 (67.72/col)
Sat Mar 18 12:38:57 2017  saving the first 48 matrix rows for later
Sat Mar 18 12:38:59 2017  matrix includes 64 packed rows
Sat Mar 18 12:39:00 2017  matrix is 7134793 x 7135018 (2039.3 MB) with weight 493926518 (69.23/col)
Sat Mar 18 12:39:00 2017  sparse part has weight 463231610 (64.92/col)
Sat Mar 18 12:39:00 2017  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Sat Mar 18 12:39:27 2017  commencing Lanczos iteration (32 threads)
Sat Mar 18 12:39:27 2017  memory use: 1683.1 MB
Sat Mar 18 12:39:40 2017  linear algebra at 0.0%, ETA 15h37m
Sat Mar 18 12:39:43 2017  checkpointing every 490000 dimensions
Sat Mar 18 23:44:39 2017  lanczos halted after 112827 iterations (dim = 7134792)
Sat Mar 18 23:44:45 2017  recovered 38 nontrivial dependencies
Sat Mar 18 23:44:47 2017  BLanczosTime: 40434
Sat Mar 18 23:44:47 2017  
Sat Mar 18 23:44:47 2017  commencing square root phase
Sat Mar 18 23:44:47 2017  reading relations for dependency 1
Sat Mar 18 23:44:49 2017  read 3568300 cycles
Sat Mar 18 23:44:54 2017  cycles contain 10107482 unique relations
Sat Mar 18 23:46:20 2017  read 10107482 relations
Sat Mar 18 23:47:24 2017  multiplying 10107482 relations
Sun Mar 19 00:00:15 2017  multiply complete, coefficients have about 344.08 million bits
Sun Mar 19 00:00:17 2017  initial square root is modulo 1492417
Sun Mar 19 00:13:28 2017  sqrtTime: 1721
Sun Mar 19 00:13:28 2017  p80 factor: 47070091947390813718645108799488852490845863085765872755847796788986863888655389
Sun Mar 19 00:13:28 2017  p142 factor: 1109456558542308117469696642272548971926614325287110781396094758885955805330300009179561804247810047768910055518280687323065377568562940441561
Sun Mar 19 00:13:28 2017  elapsed time 12:04:13

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 1, 2013 13:00:00 UTC 2013 年 10 月 1 日 (火) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 4, 2013 16:42:40 UTC 2013 年 10 月 5 日 (土) 1 時 42 分 40 秒 (日本時間)
403e61610110Ignacio SantosOctober 4, 2013 16:42:40 UTC 2013 年 10 月 5 日 (土) 1 時 42 分 40 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:24:22 UTC 2013 年 10 月 13 日 (日) 23 時 24 分 22 秒 (日本時間)
4511e6508232Ignacio SantosOctober 4, 2013 16:42:40 UTC 2013 年 10 月 5 日 (土) 1 時 42 分 40 秒 (日本時間)
2000Dmitry DomanovOctober 25, 2013 09:54:22 UTC 2013 年 10 月 25 日 (金) 18 時 54 分 22 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:15:10 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 10 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:13 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 13 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:33 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 33 秒 (日本時間)

47×10222+619

c207

name 名前Dmitry Domanov
date 日付October 8, 2013 10:25:42 UTC 2013 年 10 月 8 日 (火) 19 時 25 分 42 秒 (日本時間)
composite number 合成数
623720519759863643252645988757011499636350132034454238903550563048570324750445559208586768152836143265759978487675559572346813865982240046203291437853303668214261541603855650616048829394858517738619706877093<207>
prime factors 素因数
8902388716507069986255008338801894459<37>
composite cofactor 合成数の残り
70062152936923859697919274176029181663846305763821000409243533704368368627961698423589292687761569387366006943307566351716116208415329056437715162412279552274298571271327<170>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=589224497
Step 1 took 26668ms
Step 2 took 10290ms
********** Factor found in step 2: 8902388716507069986255008338801894459
Found probable prime factor of 37 digits: 8902388716507069986255008338801894459

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 1, 2013 13:00:00 UTC 2013 年 10 月 1 日 (火) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:24:29 UTC 2013 年 10 月 13 日 (日) 23 時 24 分 29 秒 (日本時間)
4511e61800 / 41431500Dmitry DomanovNovember 19, 2013 11:58:00 UTC 2013 年 11 月 19 日 (火) 20 時 58 分 0 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:57 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 57 秒 (日本時間)

47×10223+619

c194

composite cofactor 合成数の残り
48195054299502846865796972745491720641404171313528383497980298026987453689604705679078992860389380932662817716106181726986188664658986511104320697132547984018455960378567721421796414039070185737<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 1, 2013 13:00:00 UTC 2013 年 10 月 1 日 (火) 22 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovOctober 13, 2013 14:24:36 UTC 2013 年 10 月 13 日 (日) 23 時 24 分 36 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:46:53 UTC 2014 年 1 月 9 日 (木) 13 時 46 分 53 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:59 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 59 秒 (日本時間)

47×10225+619

c210

composite cofactor 合成数の残り
462135670844948062413088238504062901244917826459338642635299826506998636555324634052794744361382613704564585394021324460434396950800185448180234762428412722959950000510789142707569462776075938351469232799346117<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 1, 2013 13:00:00 UTC 2013 年 10 月 1 日 (火) 22 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovOctober 13, 2013 14:24:45 UTC 2013 年 10 月 13 日 (日) 23 時 24 分 45 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:46:54 UTC 2014 年 1 月 9 日 (木) 13 時 46 分 54 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:59 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 59 秒 (日本時間)

47×10226+619

c204

composite cofactor 合成数の残り
181782474026527569804938839791638494848289531878785136703048459432631875613627827290137347343655463681376863082785257217096142140560842325778214017148868368012243475164781886087652568996981613228987447001<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 1, 2013 13:00:00 UTC 2013 年 10 月 1 日 (火) 22 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovOctober 13, 2013 14:24:52 UTC 2013 年 10 月 13 日 (日) 23 時 24 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:46:55 UTC 2014 年 1 月 9 日 (木) 13 時 46 分 55 秒 (日本時間)
4511e6451 / 4077151CypMarch 11, 2014 00:45:20 UTC 2014 年 3 月 11 日 (火) 9 時 45 分 20 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:57 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 57 秒 (日本時間)

47×10227+619

c147

composite cofactor 合成数の残り
276304606961420438167968394102452942279289660267850291118621118070145281922247161241724780541009492747309468273663646175020779151711384861459520953<147>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 1, 2013 13:00:00 UTC 2013 年 10 月 1 日 (火) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 3, 2013 19:05:17 UTC 2013 年 10 月 4 日 (金) 4 時 5 分 17 秒 (日本時間)
403e61610110Ignacio SantosOctober 3, 2013 19:05:17 UTC 2013 年 10 月 4 日 (金) 4 時 5 分 17 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:25:00 UTC 2013 年 10 月 13 日 (日) 23 時 25 分 0 秒 (日本時間)
4511e6431232Ignacio SantosOctober 3, 2013 19:05:17 UTC 2013 年 10 月 4 日 (金) 4 時 5 分 17 秒 (日本時間)
230Ignacio SantosOctober 6, 2013 19:34:34 UTC 2013 年 10 月 7 日 (月) 4 時 34 分 34 秒 (日本時間)
1000Dmitry DomanovNovember 6, 2013 13:03:56 UTC 2013 年 11 月 6 日 (水) 22 時 3 分 56 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:10:26 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 26 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:34 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 34 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:36:11 UTC 2014 年 5 月 25 日 (日) 2 時 36 分 11 秒 (日本時間)

47×10228+619

c196

composite cofactor 合成数の残り
3807973895395921061250324480025708867886412998294152418059676253025331515460983747900164967007849402340252504273039657615741017304871012353763263169980032253379435438643616375653985946601440441153<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 1, 2013 13:00:00 UTC 2013 年 10 月 1 日 (火) 22 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovOctober 13, 2013 14:25:19 UTC 2013 年 10 月 13 日 (日) 23 時 25 分 19 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:46:56 UTC 2014 年 1 月 9 日 (木) 13 時 46 分 56 秒 (日本時間)
4511e6547 / 4077247CypJanuary 9, 2014 08:23:30 UTC 2014 年 1 月 9 日 (木) 17 時 23 分 30 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:57 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 57 秒 (日本時間)

47×10232+619

c205

composite cofactor 合成数の残り
7873451462632315645408993961993672012170957598012864703544263315382019247144987429469908703717497687722588856980417495249635968162886797385993775999615359881229657120587197626842175990043603222505088603513<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 1, 2013 13:00:00 UTC 2013 年 10 月 1 日 (火) 22 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovOctober 13, 2013 14:25:29 UTC 2013 年 10 月 13 日 (日) 23 時 25 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:46:57 UTC 2014 年 1 月 9 日 (木) 13 時 46 分 57 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:03:59 UTC 2014 年 5 月 27 日 (火) 3 時 3 分 59 秒 (日本時間)

47×10233+619

c230

composite cofactor 合成数の残り
14439191036641751381707695474388868919794902043913573761224934946836127470407338795648580811851196455946642580867150225957978881915066835021489817298150861896818155285819178317864965914292648608461365947472066309680709547991877187<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 1, 2013 13:00:00 UTC 2013 年 10 月 1 日 (火) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:25:36 UTC 2013 年 10 月 13 日 (日) 23 時 25 分 36 秒 (日本時間)
4511e649502000Dmitry DomanovOctober 25, 2013 09:53:57 UTC 2013 年 10 月 25 日 (金) 18 時 53 分 57 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:38 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 38 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:19 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 19 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:05 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 5 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:08 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 8 秒 (日本時間)

47×10234+619

c146

name 名前Ignacio Santos
date 日付October 3, 2013 18:13:54 UTC 2013 年 10 月 4 日 (金) 3 時 13 分 54 秒 (日本時間)
composite number 合成数
81249192974522253327279586338949608691360948663518561973680398774582565161817748165472234535015909471172804504022116646441871890996260248770847457<146>
prime factors 素因数
73308968010133475390022851484412933372847<41>
1108311782035878654839973184777209968967671283587287061392534123730913991730638104972696335263575089323631<106>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:648036379
Step 1 took 19937ms
Step 2 took 14266ms
********** Factor found in step 2: 73308968010133475390022851484412933372847
Found probable prime factor of 41 digits: 73308968010133475390022851484412933372847
Probable prime cofactor 1108311782035878654839973184777209968967671283587287061392534123730913991730638104972696335263575089323631 has 106 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 1, 2013 13:00:00 UTC 2013 年 10 月 1 日 (火) 22 時 0 分 0 秒 (日本時間)

47×10236+619

c228

name 名前Dmitry Domanov
date 日付November 8, 2013 05:17:31 UTC 2013 年 11 月 8 日 (金) 14 時 17 分 31 秒 (日本時間)
composite number 合成数
908760656855195884503270091791730989833571365688920074151613529285805133191300113961467334277126133450303281825129272310385472996697492038902325968976148249576923044179433943261640920884629998698923500513791136429500110560111543<228>
prime factors 素因数
95866428892992987280157441605367035738837<41>
composite cofactor 合成数の残り
9479446218546047090043276707752121651299129152568580123056136627988831660142532077404178580935717778961474136535770271167064103737953436306457269017518509565721210319442760515644099803739<187>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3341170595
Step 1 took 107003ms
Step 2 took 27559ms
********** Factor found in step 2: 95866428892992987280157441605367035738837
Found probable prime factor of 41 digits: 95866428892992987280157441605367035738837

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 1, 2013 13:00:00 UTC 2013 年 10 月 1 日 (火) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 13, 2013 14:25:44 UTC 2013 年 10 月 13 日 (日) 23 時 25 分 44 秒 (日本時間)
4511e61800 / 41431500Dmitry DomanovNovember 7, 2013 12:10:12 UTC 2013 年 11 月 7 日 (木) 21 時 10 分 12 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:32:58 UTC 2014 年 5 月 27 日 (火) 9 時 32 分 58 秒 (日本時間)

47×10237+619

c189

composite cofactor 合成数の残り
317449255753474108481395742221080091842540164678595278884911001252469936937165051895591056410699072643900548859143065917833652943332304077443520314027378372494018224547724921012536570898509<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 1, 2013 13:00:00 UTC 2013 年 10 月 1 日 (火) 22 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovOctober 13, 2013 14:25:52 UTC 2013 年 10 月 13 日 (日) 23 時 25 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:46:58 UTC 2014 年 1 月 9 日 (木) 13 時 46 分 58 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:00 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 0 秒 (日本時間)

47×10239+619

c157

name 名前Serge Batalov
date 日付January 5, 2014 08:54:20 UTC 2014 年 1 月 5 日 (日) 17 時 54 分 20 秒 (日本時間)
composite number 合成数
2257059158570173831384486885467837274077450834382307229275405787855862610844437251599022890781684393578745690792983764940065110846149627025223036208315141269<157>
prime factors 素因数
7115944320542090310915019096551727976199227<43>
317183364132651308168856810477513656779038603019498522503596217615609517826982494900961212306965852549737574548847<114>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1365969964
Step 1 took 42002ms
Step 2 took 24074ms
********** Factor found in step 2: 7115944320542090310915019096551727976199227
Found probable prime factor of 43 digits: 7115944320542090310915019096551727976199227
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 1, 2013 13:00:00 UTC 2013 年 10 月 1 日 (火) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 3, 2013 19:11:10 UTC 2013 年 10 月 4 日 (金) 4 時 11 分 10 秒 (日本時間)
403e61610110Ignacio SantosOctober 3, 2013 19:11:10 UTC 2013 年 10 月 4 日 (金) 4 時 11 分 10 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:26:01 UTC 2013 年 10 月 13 日 (日) 23 時 26 分 1 秒 (日本時間)
4511e62612 / 410532Ignacio SantosOctober 3, 2013 19:11:10 UTC 2013 年 10 月 4 日 (金) 4 時 11 分 10 秒 (日本時間)
230Ignacio SantosOctober 8, 2013 21:20:11 UTC 2013 年 10 月 9 日 (水) 6 時 20 分 11 秒 (日本時間)
1500Dmitry DomanovNovember 6, 2013 13:04:13 UTC 2013 年 11 月 6 日 (水) 22 時 4 分 13 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:12:18 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 18 秒 (日本時間)

47×10242+619

c222

name 名前Dmitry Domanov
date 日付October 4, 2013 05:30:30 UTC 2013 年 10 月 4 日 (金) 14 時 30 分 30 秒 (日本時間)
composite number 合成数
942226060055226368895861136215088373524305152984474953193340348150129718983849266819355251380686913703018440999521544035554315467553204172601185478435739226493383108305994484515694705505948379367968399966737589290537745241<222>
prime factors 素因数
1308521200425792815732802942366689399<37>
composite cofactor 合成数の残り
720069388060832332430260189798554793615573950311753477535461642667912166368542511149003938691610624962670366785633972324066047585434135143793904034613088608537338627482490633971304349359<186>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2777999613
Step 1 took 30476ms
Step 2 took 11426ms
********** Factor found in step 2: 1308521200425792815732802942366689399
Found probable prime factor of 37 digits: 1308521200425792815732802942366689399

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 1, 2013 13:00:00 UTC 2013 年 10 月 1 日 (火) 22 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovOctober 13, 2013 14:26:09 UTC 2013 年 10 月 13 日 (日) 23 時 26 分 9 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:47:00 UTC 2014 年 1 月 9 日 (木) 13 時 47 分 0 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:00 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 0 秒 (日本時間)

47×10243+619

c223

composite cofactor 合成数の残り
6616387187237440150870492519422166613034216578758257489712306479775321465316835593944757774766835523328207761294367301920524761293059825427449880039103115513855615899645328790508793458804373487774821402484570347371243175333<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 1, 2013 13:00:00 UTC 2013 年 10 月 1 日 (火) 22 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovOctober 13, 2013 14:26:17 UTC 2013 年 10 月 13 日 (日) 23 時 26 分 17 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:47:00 UTC 2014 年 1 月 9 日 (木) 13 時 47 分 0 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:01 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 1 秒 (日本時間)

47×10244+619

c215

composite cofactor 合成数の残り
25843057661878157396107624318725979056367516178253859186212114890729907439107950932423033529268648078539529403378794381518463433041417086077716320073732414051192754572192268318155828187400547479310644146925536747147<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 1, 2013 13:00:00 UTC 2013 年 10 月 1 日 (火) 22 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovOctober 13, 2013 14:26:24 UTC 2013 年 10 月 13 日 (日) 23 時 26 分 24 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:47:01 UTC 2014 年 1 月 9 日 (木) 13 時 47 分 1 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:01 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 1 秒 (日本時間)

47×10245+619

c197

name 名前Dmitry Domanov
date 日付October 4, 2013 07:21:02 UTC 2013 年 10 月 4 日 (金) 16 時 21 分 2 秒 (日本時間)
composite number 合成数
70165136207385500896060232538626502494131795201854890824399935243306967306862559301475393566449584989397998598136813588043680946652217804273522197176447381832873919041636091710647671981808819985623<197>
prime factors 素因数
1156493654226548180034453486057959<34>
composite cofactor 合成数の残り
60670576056304665471914919996760399286031408393828466714347784713485985829325040338078697638279897057918581453923474479949079214835702228524663672263989094510020497<164>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=874355388
Step 1 took 27416ms
Step 2 took 9955ms
********** Factor found in step 2: 1156493654226548180034453486057959
Found probable prime factor of 34 digits: 1156493654226548180034453486057959

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 1, 2013 13:00:00 UTC 2013 年 10 月 1 日 (火) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 4, 2013 14:47:53 UTC 2013 年 10 月 4 日 (金) 23 時 47 分 53 秒 (日本時間)
403e61610110Ignacio SantosOctober 4, 2013 14:47:53 UTC 2013 年 10 月 4 日 (金) 23 時 47 分 53 秒 (日本時間)
1500Dmitry DomanovOctober 13, 2013 14:26:33 UTC 2013 年 10 月 13 日 (日) 23 時 26 分 33 秒 (日本時間)
4511e6301232Ignacio SantosOctober 4, 2013 14:47:53 UTC 2013 年 10 月 4 日 (金) 23 時 47 分 53 秒 (日本時間)
230Ignacio SantosOctober 8, 2013 21:24:17 UTC 2013 年 10 月 9 日 (水) 6 時 24 分 17 秒 (日本時間)
1500Dmitry DomanovNovember 6, 2013 13:04:33 UTC 2013 年 11 月 6 日 (水) 22 時 4 分 33 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:13:13 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 13 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:51 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 51 秒 (日本時間)
5043e6480 / 6814CypMarch 20, 2014 06:22:06 UTC 2014 年 3 月 20 日 (木) 15 時 22 分 6 秒 (日本時間)

47×10248+619

c201

composite cofactor 合成数の残り
765426642788928625361790702399342430029166341421646918615300915820986651036125836426926543104115358399166675611169691380228351201224598806421052829820025826369535659894401423166720340539423085136223991<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 1, 2013 13:00:00 UTC 2013 年 10 月 1 日 (火) 22 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovOctober 13, 2013 14:26:40 UTC 2013 年 10 月 13 日 (日) 23 時 26 分 40 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:47:03 UTC 2014 年 1 月 9 日 (木) 13 時 47 分 3 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:01 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 1 秒 (日本時間)

47×10249+619

c225

composite cofactor 合成数の残り
177040124727362734013205816300607696451995616002062218711052731506077353267994322279008502220120028236272820470843540048381358259166103254185479749055494876010918189879102292126051440383296514896665568220760421325598331307361<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 1, 2013 13:00:00 UTC 2013 年 10 月 1 日 (火) 22 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovOctober 13, 2013 14:26:47 UTC 2013 年 10 月 13 日 (日) 23 時 26 分 47 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:47:04 UTC 2014 年 1 月 9 日 (木) 13 時 47 分 4 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:02 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 2 秒 (日本時間)