Table of contents 目次

22×10103+173

c103

name 名前Lionel Debroux
date 日付October 29, 2009 16:11:36 UTC 2009 年 10 月 30 日 (金) 1 時 11 分 36 秒 (日本時間)
composite number 合成数
1788617886178861788617886178861788617886178861788617886178861788617886178861788617886178861788617886179<103>
prime factors 素因数
1968440256387558857469214196952117053<37>
908647280695882845564443412045563169110619998478775609933242429343<66>
factorization results 素因数分解の結果
Number: 73339_103
N=1788617886178861788617886178861788617886178861788617886178861788617886178861788617886178861788617886179
  ( 103 digits)
SNFS difficulty: 105 digits.
Divisors found:
 r1=1968440256387558857469214196952117053 (pp37)
 r2=908647280695882845564443412045563169110619998478775609933242429343 (pp66)
Version: Msieve v. 1.44
Total time: 1.48 hours.
Scaled time: 2.20 units (timescale=1.485).
Factorization parameters were as follows:
n: 1788617886178861788617886178861788617886178861788617886178861788617886178861788617886178861788617886179
m: 100000000000000000000000000
deg: 4
c4: 11
c0: 85
skew: 1.67
type: snfs
lss: 1
rlim: 390000
alim: 390000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 390000/390000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [195000, 355001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 62433 x 62681
Total sieving time: 1.45 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,105.000,4,0,0,0,0,0,0,0,0,390000,390000,25,25,44,44,2.2,2.2,20000
total time: 1.48 hours.
 --------- CPU info (if available) ----------
[    0.029106] CPU0: Intel(R) Core(TM)2 CPU         T7200  @ 2.00GHz stepping 06
[    0.101090] CPU1: Intel(R) Core(TM)2 CPU         T7200  @ 2.00GHz stepping 06
[    0.000000] Memory: 2051108k/2096800k available (7368k kernel code, 452k absent, 44504k reserved, 3461k data, 768k init)
[    0.001009] Calibrating delay loop (skipped), value calculated using timer frequency.. 3990.00 BogoMIPS (lpj=1995001)
[    0.001999] Calibrating delay using timer specific routine.. 3989.82 BogoMIPS (lpj=1994913)
[    0.102026] Total of 2 processors activated (7979.82 BogoMIPS).
software ソフトウェア
GGNFS + Msieve
execution environment 実行環境
Core 2 Duo T7200, 2 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

22×10105+173

c100

name 名前Lionel Debroux
date 日付October 29, 2009 17:18:23 UTC 2009 年 10 月 30 日 (金) 2 時 18 分 23 秒 (日本時間)
composite number 合成数
4289008188301496220506488976956523688679611283288795882396175296443573905752164340757021642530273087<100>
prime factors 素因数
667319846833294484773950178480591643333119<42>
6427215088318733045674430056423147409336405409180529236673<58>
factorization results 素因数分解の結果
Number: 73339_105
N=4289008188301496220506488976956523688679611283288795882396175296443573905752164340757021642530273087
  ( 100 digits)
SNFS difficulty: 106 digits.
Divisors found:
 r1=667319846833294484773950178480591643333119 (pp42)
 r2=6427215088318733045674430056423147409336405409180529236673 (pp58)
Version: Msieve v. 1.44
Total time: 2.09 hours.
Scaled time: 3.01 units (timescale=1.441).
Factorization parameters were as follows:
n: 4289008188301496220506488976956523688679611283288795882396175296443573905752164340757021642530273087
m: 200000000000000000000000000
deg: 4
c4: 55
c0: 68
skew: 1.05
type: snfs
lss: 1
rlim: 420000
alim: 420000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 420000/420000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [210000, 450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 68749 x 68997
Total sieving time: 2.06 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,106.000,4,0,0,0,0,0,0,0,0,420000,420000,25,25,44,44,2.2,2.2,20000
total time: 2.09 hours.
 --------- CPU info (if available) ----------
[    0.029106] CPU0: Intel(R) Core(TM)2 CPU         T7200  @ 2.00GHz stepping 06
[    0.101090] CPU1: Intel(R) Core(TM)2 CPU         T7200  @ 2.00GHz stepping 06
[    0.000000] Memory: 2051108k/2096800k available (7368k kernel code, 452k absent, 44504k reserved, 3461k data, 768k init)
[    0.001009] Calibrating delay loop (skipped), value calculated using timer frequency.. 3990.00 BogoMIPS (lpj=1995001)
[    0.001999] Calibrating delay using timer specific routine.. 3989.82 BogoMIPS (lpj=1994913)
[    0.102026] Total of 2 processors activated (7979.82 BogoMIPS).
software ソフトウェア
GGNFS + Msieve
execution environment 実行環境
Core 2 Duo T7200, 2 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

22×10111+173

c109

name 名前Erik Branger
date 日付October 29, 2009 17:51:00 UTC 2009 年 10 月 30 日 (金) 2 時 51 分 0 秒 (日本時間)
composite number 合成数
1607834539209237740261638529562230505006212087992399327632829057955126799678433092158152451947672294087553899<109>
prime factors 素因数
10353494998124320950439689240019536224501<41>
155293892497221396344263249494507201244620736494605530331157572978399<69>
factorization results 素因数分解の結果
Number: 73339_111
N=1607834539209237740261638529562230505006212087992399327632829057955126799678433092158152451947672294087553899
  ( 109 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=10353494998124320950439689240019536224501 (pp41)
 r2=155293892497221396344263249494507201244620736494605530331157572978399 (pp69)
Version: Msieve v. 1.43
Total time: 1.33 hours.
Scaled time: 1.05 units (timescale=0.788).
Factorization parameters were as follows:
n: 1607834539209237740261638529562230505006212087992399327632829057955126799678433092158152451947672294087553899
m: 20000000000000000000000
deg: 5
c5: 55
c0: 136
skew: 1.20
type: snfs
lss: 1
rlim: 540000
alim: 540000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 540000/540000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [270000, 420001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 64236 x 64465
Total sieving time: 1.28 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,113.000,5,0,0,0,0,0,0,0,0,540000,540000,25,25,45,45,2.2,2.2,50000
total time: 1.33 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--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

22×10113+173

c94

name 名前Erik Branger
date 日付October 29, 2009 19:39:31 UTC 2009 年 10 月 30 日 (金) 4 時 39 分 31 秒 (日本時間)
composite number 合成数
6648731685392568673340087143484735074721518359722676856044541286039486751148900577046263359303<94>
prime factors 素因数
4742658220612723377993912832802326986709<40>
1401899815697364732864295246904507767152298674388612267<55>
factorization results 素因数分解の結果
Number: 73339_113
N=6648731685392568673340087143484735074721518359722676856044541286039486751148900577046263359303
  ( 94 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=4742658220612723377993912832802326986709 (pp40)
 r2=1401899815697364732864295246904507767152298674388612267 (pp55)
Version: Msieve v. 1.43
Total time: 1.39 hours.
Scaled time: 1.10 units (timescale=0.788).
Factorization parameters were as follows:
n: 6648731685392568673340087143484735074721518359722676856044541286039486751148900577046263359303
m: 50000000000000000000000
deg: 5
c5: 176
c0: 425
skew: 1.19
type: snfs
lss: 1
rlim: 590000
alim: 590000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 590000/590000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [295000, 445001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 63916 x 64141
Total sieving time: 1.34 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,115.000,5,0,0,0,0,0,0,0,0,590000,590000,25,25,45,45,2.2,2.2,50000
total time: 1.39 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--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

22×10116+173

c115

name 名前Dmitry Domanov
date 日付October 29, 2009 23:00:57 UTC 2009 年 10 月 30 日 (金) 8 時 0 分 57 秒 (日本時間)
composite number 合成数
1140487299118714359771902540176257128045619491964748574390876101607050285121824779678589942975635044064282011404873<115>
prime factors 素因数
127199283710829473583831003888420738835436659<45>
8966145609054367047114636580013011049277494734917626941664754253624147<70>
factorization results 素因数分解の結果
Number: s115
N=1140487299118714359771902540176257128045619491964748574390876101607050285121824779678589942975635044064282011404873
  ( 115 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=127199283710829473583831003888420738835436659 (pp45)
 r2=8966145609054367047114636580013011049277494734917626941664754253624147 (pp70)
Version: Msieve-1.40
Total time: 1.46 hours.
Scaled time: 1.36 units (timescale=0.934).
Factorization parameters were as follows:
n: 1140487299118714359771902540176257128045619491964748574390876101607050285121824779678589942975635044064282011404873
m: 200000000000000000000000
deg: 5
c5: 55
c0: 136
skew: 1.20
type: snfs
lss: 1
rlim: 650000
alim: 650000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 650000/650000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [325000, 575001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 71229 x 71454
Total sieving time: 1.42 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,118.000,5,0,0,0,0,0,0,0,0,650000,650000,25,25,45,45,2.2,2.2,50000
total time: 1.46 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--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

22×10119+173

c109

name 名前Erik Branger
date 日付October 29, 2009 20:35:49 UTC 2009 年 10 月 30 日 (金) 5 時 35 分 49 秒 (日本時間)
composite number 合成数
1703155010376173589245963363912844479505898920513548079792184363384189269662871013342757311335327814133864981<109>
prime factors 素因数
50397412484330388603542395361078269<35>
284229425704179960225725802324609161<36>
118898643426182964310318249358540813809<39>
factorization results 素因数分解の結果
Number: 73339_119
N=1703155010376173589245963363912844479505898920513548079792184363384189269662871013342757311335327814133864981
  ( 109 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=50397412484330388603542395361078269 (pp35)
 r2=284229425704179960225725802324609161 (pp36)
 r3=118898643426182964310318249358540813809 (pp39)
Version: Msieve-1.40
Total time: 1.44 hours.
Scaled time: 1.45 units (timescale=1.003).
Factorization parameters were as follows:
n: 1703155010376173589245963363912844479505898920513548079792184363384189269662871013342757311335327814133864981
m: 1000000000000000000000000
deg: 5
c5: 11
c0: 85
skew: 1.51
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, 615001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 86095 x 86343
Total sieving time: 1.37 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 1.44 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--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

22×10126+173

c97

name 名前Sinkiti Sibata
date 日付October 30, 2009 05:03:01 UTC 2009 年 10 月 30 日 (金) 14 時 3 分 1 秒 (日本時間)
composite number 合成数
1853980907532261085359289430354461486793949958322168440086644145089512112616560650231980192138053<97>
prime factors 素因数
62954221240549700803517895855591515615873618567<47>
29449667885623623024571417153719273982755349467859<50>
factorization results 素因数分解の結果
Number: 73339_126
N=1853980907532261085359289430354461486793949958322168440086644145089512112616560650231980192138053
  ( 97 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=62954221240549700803517895855591515615873618567 (pp47)
 r2=29449667885623623024571417153719273982755349467859 (pp50)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 4.65 hours.
Scaled time: 2.18 units (timescale=0.470).
Factorization parameters were as follows:
name: 73339_126
n: 1853980907532261085359289430354461486793949958322168440086644145089512112616560650231980192138053
m: 20000000000000000000000000
deg: 5
c5: 55
c0: 136
skew: 1.20
type: snfs
lss: 1
rlim: 960000
alim: 960000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 960000/960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [480000, 880001)
Primes: RFBsize:75618, AFBsize:75331, largePrimes:2684351 encountered
Relations: rels:2649373, finalFF:258875
Max relations in full relation-set: 28
Initial matrix: 151016 x 258875 with sparse part having weight 20919788.
Pruned matrix : 123819 x 124638 with weight 7186531.
Total sieving time: 4.30 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,960000,960000,26,26,47,47,2.3,2.3,50000
total time: 4.65 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--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

22×10130+173

c96

name 名前Sinkiti Sibata
date 日付October 30, 2009 05:08:54 UTC 2009 年 10 月 30 日 (金) 14 時 8 分 54 秒 (日本時間)
composite number 合成数
225561473960387088874197487909377436905992883142405706677354077914645400486794949390462152796811<96>
prime factors 素因数
5668358868056523752203461746253003242713937413<46>
39793082832407892372132468962834943667647868416847<50>
factorization results 素因数分解の結果
Fri Oct 30 10:44:12 2009  Msieve v. 1.40
Fri Oct 30 10:44:12 2009  random seeds: 4f9e5c6b 8f5e88a9
Fri Oct 30 10:44:12 2009  factoring 225561473960387088874197487909377436905992883142405706677354077914645400486794949390462152796811 (96 digits)
Fri Oct 30 10:44:12 2009  no P-1/P+1/ECM available, skipping
Fri Oct 30 10:44:12 2009  commencing quadratic sieve (96-digit input)
Fri Oct 30 10:44:12 2009  using multiplier of 19
Fri Oct 30 10:44:12 2009  using 32kb Intel Core sieve core
Fri Oct 30 10:44:12 2009  sieve interval: 36 blocks of size 32768
Fri Oct 30 10:44:12 2009  processing polynomials in batches of 6
Fri Oct 30 10:44:12 2009  using a sieve bound of 2225473 (82353 primes)
Fri Oct 30 10:44:12 2009  using large prime bound of 333820950 (28 bits)
Fri Oct 30 10:44:12 2009  using double large prime bound of 2199502175184600 (43-51 bits)
Fri Oct 30 10:44:12 2009  using trial factoring cutoff of 51 bits
Fri Oct 30 10:44:12 2009  polynomial 'A' values have 12 factors
Fri Oct 30 13:12:19 2009  82483 relations (20939 full + 61544 combined from 1214119 partial), need 82449
Fri Oct 30 13:12:20 2009  begin with 1235058 relations
Fri Oct 30 13:12:20 2009  reduce to 211848 relations in 10 passes
Fri Oct 30 13:12:20 2009  attempting to read 211848 relations
Fri Oct 30 13:12:22 2009  recovered 211848 relations
Fri Oct 30 13:12:22 2009  recovered 194844 polynomials
Fri Oct 30 13:12:22 2009  attempting to build 82483 cycles
Fri Oct 30 13:12:22 2009  found 82483 cycles in 6 passes
Fri Oct 30 13:12:22 2009  distribution of cycle lengths:
Fri Oct 30 13:12:22 2009     length 1 : 20939
Fri Oct 30 13:12:22 2009     length 2 : 14842
Fri Oct 30 13:12:22 2009     length 3 : 13930
Fri Oct 30 13:12:22 2009     length 4 : 10990
Fri Oct 30 13:12:22 2009     length 5 : 8283
Fri Oct 30 13:12:22 2009     length 6 : 5570
Fri Oct 30 13:12:22 2009     length 7 : 3442
Fri Oct 30 13:12:22 2009     length 9+: 4487
Fri Oct 30 13:12:22 2009  largest cycle: 21 relations
Fri Oct 30 13:12:22 2009  matrix is 82353 x 82483 (22.5 MB) with weight 5580538 (67.66/col)
Fri Oct 30 13:12:22 2009  sparse part has weight 5580538 (67.66/col)
Fri Oct 30 13:12:23 2009  filtering completed in 3 passes
Fri Oct 30 13:12:23 2009  matrix is 78173 x 78237 (21.6 MB) with weight 5337663 (68.22/col)
Fri Oct 30 13:12:23 2009  sparse part has weight 5337663 (68.22/col)
Fri Oct 30 13:12:23 2009  saving the first 48 matrix rows for later
Fri Oct 30 13:12:23 2009  matrix is 78125 x 78237 (15.9 MB) with weight 4472451 (57.17/col)
Fri Oct 30 13:12:23 2009  sparse part has weight 3699137 (47.28/col)
Fri Oct 30 13:12:23 2009  matrix includes 64 packed rows
Fri Oct 30 13:12:23 2009  using block size 31294 for processor cache size 8192 kB
Fri Oct 30 13:12:24 2009  commencing Lanczos iteration
Fri Oct 30 13:12:24 2009  memory use: 14.0 MB
Fri Oct 30 13:12:45 2009  lanczos halted after 1238 iterations (dim = 78125)
Fri Oct 30 13:12:45 2009  recovered 18 nontrivial dependencies
Fri Oct 30 13:12:46 2009  prp46 factor: 5668358868056523752203461746253003242713937413
Fri Oct 30 13:12:46 2009  prp50 factor: 39793082832407892372132468962834943667647868416847
Fri Oct 30 13:12:46 2009  elapsed time 02:28:34

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

22×10132+173

c99

name 名前Erik Branger
date 日付October 30, 2009 06:27:47 UTC 2009 年 10 月 30 日 (金) 15 時 27 分 47 秒 (日本時間)
composite number 合成数
429348152366082101879424461334080508049160634782916238895467141839271983897081546365941358378769937<99>
prime factors 素因数
12453067396570738943402028834555057839784395671<47>
34477300948705518718980721337704600617529621152055447<53>
factorization results 素因数分解の結果
Number: 73339_132
N=429348152366082101879424461334080508049160634782916238895467141839271983897081546365941358378769937
  ( 99 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=12453067396570738943402028834555057839784395671 (pp47)
 r2=34477300948705518718980721337704600617529621152055447 (pp53)
Version: Msieve v. 1.43
Total time: 5.61 hours.
Scaled time: 4.43 units (timescale=0.789).
Factorization parameters were as follows:
n: 429348152366082101879424461334080508049160634782916238895467141839271983897081546365941358378769937
m: 200000000000000000000000000
deg: 5
c5: 275
c0: 68
skew: 0.76
type: snfs
lss: 1
rlim: 1200000
alim: 1200000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [600000, 1125001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 163998 x 164223
Total sieving time: 5.36 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,133.000,5,0,0,0,0,0,0,0,0,1200000,1200000,26,26,47,47,2.3,2.3,75000
total time: 5.61 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--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

22×10136+173

c127

name 名前Erik Branger
date 日付October 30, 2009 11:18:26 UTC 2009 年 10 月 30 日 (金) 20 時 18 分 26 秒 (日本時間)
composite number 合成数
1166508103175132439655105140329176295856416365286589900933541796885056511509952662674708395223890149826768594586479376279662269<127>
prime factors 素因数
4113360418876992191345184069972901753084088769096918837906397<61>
283590053967020542468512853768491642154157101023860518632668590177<66>
factorization results 素因数分解の結果
Number: 73339_136
N=1166508103175132439655105140329176295856416365286589900933541796885056511509952662674708395223890149826768594586479376279662269
  ( 127 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=4113360418876992191345184069972901753084088769096918837906397 (pp61)
 r2=283590053967020542468512853768491642154157101023860518632668590177 (pp66)
Version: Msieve-1.40
Total time: 4.90 hours.
Scaled time: 4.82 units (timescale=0.983).
Factorization parameters were as follows:
n: 1166508103175132439655105140329176295856416365286589900933541796885056511509952662674708395223890149826768594586479376279662269
m: 2000000000000000000000000000
deg: 5
c5: 55
c0: 136
skew: 1.20
type: snfs
lss: 1
rlim: 1410000
alim: 1410000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1410000/1410000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [705000, 1455001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 214678 x 214903
Total sieving time: 4.73 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,138.000,5,0,0,0,0,0,0,0,0,1410000,1410000,26,26,48,48,2.3,2.3,75000
total time: 4.90 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--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

22×10137+173

c112

name 名前Sinkiti Sibata
date 日付October 31, 2009 09:27:43 UTC 2009 年 10 月 31 日 (土) 18 時 27 分 43 秒 (日本時間)
composite number 合成数
1213395306991144546783180912710761066871854197431551041872076438143619148233733680631064690192492448101121523671<112>
prime factors 素因数
24060802183399412367506978238260797<35>
50430376250228200083232843381013952500349332497781653637769170585369111950243<77>
factorization results 素因数分解の結果
Number: 73339_137
N=1213395306991144546783180912710761066871854197431551041872076438143619148233733680631064690192492448101121523671
  ( 112 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=24060802183399412367506978238260797 (pp35)
 r2=50430376250228200083232843381013952500349332497781653637769170585369111950243 (pp77)
Version: GGNFS-0.77.1-20060513-k8
Total time: 9.84 hours.
Scaled time: 19.18 units (timescale=1.949).
Factorization parameters were as follows:
name:  73339_137
n: 1213395306991144546783180912710761066871854197431551041872076438143619148233733680631064690192492448101121523671
m: 2000000000000000000000000000
deg: 5
c5: 275
c0: 68
skew: 0.76
type: snfs
lss: 1
rlim: 1450000
alim: 1450000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1450000/1450000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [725000, 1550001)
Primes: RFBsize:110630, AFBsize:110510, largePrimes:3624560 encountered
Relations: rels:3789230, finalFF:422683
Max relations in full relation-set: 28
Initial matrix: 221207 x 422683 with sparse part having weight 40398695.
Pruned matrix : 173233 x 174403 with weight 14551791.
Total sieving time: 9.35 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.32 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1450000,1450000,26,26,48,48,2.3,2.3,75000
total time: 9.84 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

22×10140+173

c131

name 名前Sinkiti Sibata
date 日付October 31, 2009 22:40:45 UTC 2009 年 11 月 1 日 (日) 7 時 40 分 45 秒 (日本時間)
composite number 合成数
38597481970583306985468424591600627933388333190715549730478080878147992039131304936218139038336670907512891583847234230579436295587<131>
prime factors 素因数
17503953742095815633532786349291591409121689703227<50>
2205072210500590718176371702165784035293904953432860513137148250438246160864874681<82>
factorization results 素因数分解の結果
Number: 73339_140
N=38597481970583306985468424591600627933388333190715549730478080878147992039131304936218139038336670907512891583847234230579436295587
  ( 131 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=17503953742095815633532786349291591409121689703227 (pp50)
 r2=2205072210500590718176371702165784035293904953432860513137148250438246160864874681 (pp82)
Version: Msieve-1.40
Total time: 6.61 hours.
Scaled time: 13.02 units (timescale=1.969).
Factorization parameters were as follows:
name: 73339_140
n: 38597481970583306985468424591600627933388333190715549730478080878147992039131304936218139038336670907512891583847234230579436295587
m: 10000000000000000000000000000
deg: 5
c5: 22
c0: 17
skew: 0.95
type: snfs
lss: 1
rlim: 1590000
alim: 1590000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1590000/1590000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [795000, 1595001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 242040 x 242274
Total sieving time: 6.32 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1590000,1590000,26,26,48,48,2.3,2.3,100000
total time: 6.61 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--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

22×10142+173

c136

name 名前Sinkiti Sibata
date 日付November 1, 2009 06:23:31 UTC 2009 年 11 月 1 日 (日) 15 時 23 分 31 秒 (日本時間)
composite number 合成数
9192148451191927087544225201954635159658635361217381400080364446959193420728102557970179751209488269335297779022338968078551421024674693<136>
prime factors 素因数
7890278994627629478652174071224520898225084894273485579113341<61>
1164996631608428630808474583554267570501191000927767091966829090137072008873<76>
factorization results 素因数分解の結果
Number: 73339_142
N=9192148451191927087544225201954635159658635361217381400080364446959193420728102557970179751209488269335297779022338968078551421024674693
  ( 136 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=7890278994627629478652174071224520898225084894273485579113341 (pp61)
 r2=1164996631608428630808474583554267570501191000927767091966829090137072008873 (pp76)
Version: GGNFS-0.77.1-20060513-k8
Total time: 12.74 hours.
Scaled time: 24.98 units (timescale=1.961).
Factorization parameters were as follows:
name: 73339_142
n: 9192148451191927087544225201954635159658635361217381400080364446959193420728102557970179751209488269335297779022338968078551421024674693
m: 20000000000000000000000000000
deg: 5
c5: 275
c0: 68
skew: 0.76
type: snfs
lss: 1
rlim: 1750000
alim: 1750000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1750000/1750000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [875000, 1975001)
Primes: RFBsize:131608, AFBsize:131403, largePrimes:3900124 encountered
Relations: rels:4052152, finalFF:401107
Max relations in full relation-set: 28
Initial matrix: 263078 x 401107 with sparse part having weight 39060172.
Pruned matrix : 221049 x 222428 with weight 18826482.
Total sieving time: 11.95 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.58 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,1750000,1750000,26,26,48,48,2.3,2.3,100000
total time: 12.74 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

22×10144+173

c142

name 名前Serge Batalov
date 日付October 31, 2009 01:42:55 UTC 2009 年 10 月 31 日 (土) 10 時 42 分 55 秒 (日本時間)
composite number 合成数
7140538786108406361570918532943849399545602077247646867900032456994482310938007140538786108406361570918532943849399545602077247646867900032457<142>
prime factors 素因数
355704369772481560789194645513945473203<39>
5325835763078243037856500964485555354952804736467<49>
3769241919049291518517227454568595454414179901716545857<55>
factorization results 素因数分解の結果
SNFS difficulty: 146 digits.
Divisors found:
 r1=355704369772481560789194645513945473203 (pp39)
 r2=5325835763078243037856500964485555354952804736467 (pp49)
 r3=3769241919049291518517227454568595454414179901716545857 (pp55)
Version: Msieve v. 1.44 SVN130
Total time: 5.14 hours.
Scaled time: 12.33 units (timescale=2.400).
Factorization parameters were as follows:
n: 7140538786108406361570918532943849399545602077247646867900032456994482310938007140538786108406361570918532943849399545602077247646867900032457
m: 100000000000000000000000000000
deg: 5
c5: 11
c0: 85
skew: 1.51
type: snfs
lss: 1
rlim: 1900000
alim: 1900000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1900000/1900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1187500, 2387501)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 328823 x 329048
Total sieving time: 4.60 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.41 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1900000,1900000,26,26,49,49,2.3,2.3,100000
total time: 5.14 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

22×10145+173

c105

name 名前Sinkiti Sibata
date 日付November 2, 2009 02:54:55 UTC 2009 年 11 月 2 日 (月) 11 時 54 分 55 秒 (日本時間)
composite number 合成数
989814863510455309432420159547073597905623407332372470876308281179701943588715244504145580284145289268387<105>
prime factors 素因数
206001556297406951388011103876042896419902713<45>
4804890221710012505146226057101997093818448342097762588344699<61>
factorization results 素因数分解の結果
Number: 73339_145
N=989814863510455309432420159547073597905623407332372470876308281179701943588715244504145580284145289268387
  ( 105 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=206001556297406951388011103876042896419902713 (pp45)
 r2=4804890221710012505146226057101997093818448342097762588344699 (pp61)
Version: GGNFS-0.77.1-20060513-k8
Total time: 16.48 hours.
Scaled time: 32.29 units (timescale=1.960).
Factorization parameters were as follows:
name: 73339_145
n: 989814863510455309432420159547073597905623407332372470876308281179701943588715244504145580284145289268387
m: 100000000000000000000000000000
deg: 5
c5: 22
c0: 17
skew: 0.95
type: snfs
lss: 1
rlim: 1920000
alim: 1920000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1920000/1920000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [960000, 2260001)
Primes: RFBsize:143414, AFBsize:143078, largePrimes:4258182 encountered
Relations: rels:4535046, finalFF:474607
Max relations in full relation-set: 28
Initial matrix: 286558 x 474607 with sparse part having weight 50088625.
Pruned matrix : 232008 x 233504 with weight 23287895.
Total sieving time: 15.65 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.59 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1920000,1920000,26,26,49,49,2.3,2.3,100000
total time: 16.48 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

22×10146+173

c133

name 名前Robert Backstrom
date 日付November 3, 2009 08:45:54 UTC 2009 年 11 月 3 日 (火) 17 時 45 分 54 秒 (日本時間)
composite number 合成数
7034833907898897215918782067746477148998748541039862569997295891558565179414446486816975422989742881398338017849564728134375451148969<133>
prime factors 素因数
27842231927103510676920959473150529572734085970185311105905803<62>
252667743244057755987225257364727780951613659443847192687667040767338523<72>
factorization results 素因数分解の結果
Number: n
N=7034833907898897215918782067746477148998748541039862569997295891558565179414446486816975422989742881398338017849564728134375451148969
  ( 133 digits)
SNFS difficulty: 148 digits.
Divisors found:

Tue Nov 03 19:38:24 2009  prp62 factor: 27842231927103510676920959473150529572734085970185311105905803
Tue Nov 03 19:38:24 2009  prp72 factor: 252667743244057755987225257364727780951613659443847192687667040767338523
Tue Nov 03 19:38:24 2009  elapsed time 00:30:55 (Msieve 1.43 - dependency 1)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 8.55 hours.
Scaled time: 15.59 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_7_3_145_9
n: 7034833907898897215918782067746477148998748541039862569997295891558565179414446486816975422989742881398338017849564728134375451148969
m: 200000000000000000000000000000
deg: 5
c5: 55
c0: 136
skew: 1.20
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
qintsize: 10000
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [1050000, 2565463)
Primes: RFBsize:155805, AFBsize:155943, largePrimes:4072211 encountered
Relations: rels:3998604, finalFF:308817
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 592028 hash collisions in 4536224 relations
Msieve: matrix is 361542 x 361767 (96.3 MB)

Total sieving time: 8.43 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 8.55 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--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

22×10148+173

c103

name 名前juno1369
date 日付November 1, 2009 02:51:36 UTC 2009 年 11 月 1 日 (日) 11 時 51 分 36 秒 (日本時間)
composite number 合成数
3325911873639202393250906590833897427097798202533779599082871166424239204175531089139368010881353120711<103>
prime factors 素因数
1289700889060485219183727689624462207083<40>
2578824207884392367663721272453581663123001803062041082460324117<64>
factorization results 素因数分解の結果
Number: 73339_148
N=3325911873639202393250906590833897427097798202533779599082871166424239204175531089139368010881353120711
  ( 103 digits)
Divisors found:
 r1=1289700889060485219183727689624462207083 (pp40)
 r2=2578824207884392367663721272453581663123001803062041082460324117 (pp64)
Version: Msieve-1.40
Total time: -639.96 hours.
Scaled time: -1146.17 units (timescale=1.791).
Factorization parameters were as follows:
name: 73339_148
n: 3325911873639202393250906590833897427097798202533779599082871166424239204175531089139368010881353120711
skew: 12521.91
# norm 1.49e+014
c5: 7020
c4: 437449634
c3: -11015077232503
c2: -72660396839571297
c1: 387503975999076601291
c0: -163681226940922413934154
# alpha -5.26
Y1: 330796961
Y0: -54339381655504281315
# Murphy_E 2.31e-009
# M 1447140866410042080494015316695201142127604977322561648360653862423286968002221708106929140054468402564
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: 2
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 226107 x 226351
Total sieving time: -640.39 hours. (glitch)
Total relation processing time: 0.09 hours.
Matrix solve time: 0.27 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: -639.96 hours. (glitch)
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve v-1.40
execution environment 実行環境
Athlon AMD Turion64,  Windows Vista, Cygwin

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

22×10152+173

c145

name 名前Dmitry Domanov
date 日付November 3, 2009 21:32:30 UTC 2009 年 11 月 4 日 (水) 6 時 32 分 30 秒 (日本時間)
composite number 合成数
4384418067559486045520299858642176375544954019382081362056620665890389504466832173267132048330947004189612394065907772127770862786533603484434151<145>
prime factors 素因数
37075204362561186462930457952094323461588666020443762432927480355047<68>
118257421447605116816883585559520072232239649472035949275385244191705024440833<78>
factorization results 素因数分解の結果
Number: 145-1
N=4384418067559486045520299858642176375544954019382081362056620665890389504466832173267132048330947004189612394065907772127770862786533603484434151
  ( 145 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=37075204362561186462930457952094323461588666020443762432927480355047 (pp68)
 r2=118257421447605116816883585559520072232239649472035949275385244191705024440833 (pp78)
Version: Msieve-1.40
Total time: 15.24 hours.
Scaled time: 26.72 units (timescale=1.753).
Factorization parameters were as follows:
n: 4384418067559486045520299858642176375544954019382081362056620665890389504466832173267132048330947004189612394065907772127770862786533603484434151
m: 2000000000000000000000000000000
deg: 5
c5: 275
c0: 68
skew: 0.76
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, 2200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 422616 x 422841
Total sieving time: 14.81 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 15.24 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--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

22×10154+173

c155

name 名前Dmitry Domanov
date 日付October 30, 2009 06:02:00 UTC 2009 年 10 月 30 日 (金) 15 時 2 分 0 秒 (日本時間)
composite number 合成数
10476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190477<155>
prime factors 素因数
184686752453367787287809095416797694533<39>
56724103580930346666691668641253433479051981833696382842269072327040745086396602948789182818404047086941094879036969<116>
factorization results 素因数分解の結果
Number: s154
N=10476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190477
  ( 155 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=184686752453367787287809095416797694533 (pp39)
 r2=56724103580930346666691668641253433479051981833696382842269072327040745086396602948789182818404047086941094879036969 (pp116)
Version: Msieve-1.40
Total time: 23.76 hours.
Scaled time: 22.19 units (timescale=0.934).
Factorization parameters were as follows:
n: 10476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190476190477
m: 10000000000000000000000000000000
deg: 5
c5: 11
c0: 85
skew: 1.51
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 481528 x 481757
Total sieving time: 23.09 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.43 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 23.76 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--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

22×10156+173

c136

name 名前Erik Branger
date 日付November 5, 2009 19:00:37 UTC 2009 年 11 月 6 日 (金) 4 時 0 分 37 秒 (日本時間)
composite number 合成数
9044411846105054274209815905986355691082748507066852603612928749817550676873652715990888627685568833319637972505812247201723505291521743<136>
prime factors 素因数
22374456972596767383679482063529<32>
828191017353098997423669770686587010084194267524507<51>
488087078674160901172508648961369204695734529976060181<54>
factorization results 素因数分解の結果
Number: 73339_156
N=9044411846105054274209815905986355691082748507066852603612928749817550676873652715990888627685568833319637972505812247201723505291521743
  ( 136 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=22374456972596767383679482063529 (pp32)
 r2=828191017353098997423669770686587010084194267524507 (pp51)
 r3=488087078674160901172508648961369204695734529976060181 (pp54)
Version: Msieve-1.40
Total time: 26.33 hours.
Scaled time: 23.30 units (timescale=0.885).
Factorization parameters were as follows:
n: 9044411846105054274209815905986355691082748507066852603612928749817550676873652715990888627685568833319637972505812247201723505291521743
m: 20000000000000000000000000000000
deg: 5
c5: 55
c0: 136
skew: 1.20
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 560422 x 560649
Total sieving time: 24.67 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.80 hours.
Time per square root: 0.74 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 26.33 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--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

22×10157+173

c132

name 名前Jo Yeong Uk
date 日付November 14, 2009 15:13:01 UTC 2009 年 11 月 15 日 (日) 0 時 13 分 1 秒 (日本時間)
composite number 合成数
180672845002635955973650145697540511621150710038462470711407017816799667146364223424285574886806960321200674321681732470921017847031<132>
prime factors 素因数
7950796688233200437719771201150520016921625896700384781<55>
22723866813249437260181466059833062612216418676176293743449524658347563807251<77>
factorization results 素因数分解の結果
Number: 73339_157
N=180672845002635955973650145697540511621150710038462470711407017816799667146364223424285574886806960321200674321681732470921017847031
  ( 132 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=7950796688233200437719771201150520016921625896700384781
 r2=22723866813249437260181466059833062612216418676176293743449524658347563807251
Version: 
Total time: 13.93 hours.
Scaled time: 33.24 units (timescale=2.386).
Factorization parameters were as follows:
n: 180672845002635955973650145697540511621150710038462470711407017816799667146364223424285574886806960321200674321681732470921017847031
m: 20000000000000000000000000000000
deg: 5
c5: 275
c0: 68
skew: 0.76
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 2800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8288002
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 569108 x 569356
Total sieving time: 12.50 hours.
Total relation processing time: 0.50 hours.
Matrix solve time: 0.78 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 13.93 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

22×10159+173

c105

name 名前Dmitry Domanov
date 日付November 1, 2009 20:15:47 UTC 2009 年 11 月 2 日 (月) 5 時 15 分 47 秒 (日本時間)
composite number 合成数
688462828123440434779271573945370660625212689440916856718770629482448614016937671446277553177927729449257<105>
prime factors 素因数
38574187745663264247371938272992130524286949118369<50>
17847759560428889439656259202106657143289384297059785353<56>
factorization results 素因数分解の結果
N=688462828123440434779271573945370660625212689440916856718770629482448614016937671446277553177927729449257
  ( 105 digits)
Divisors found:
 r1=38574187745663264247371938272992130524286949118369 (pp50)
 r2=17847759560428889439656259202106657143289384297059785353 (pp56)
Version: Msieve-1.40
Total time: 7.43 hours.
Scaled time: 13.72 units (timescale=1.845).
Factorization parameters were as follows:
name: g105
n: 688462828123440434779271573945370660625212689440916856718770629482448614016937671446277553177927729449257
skew: 11711.95
# norm 3.55e+014
c5: 119280
c4: -33389416
c3: -38876261063554
c2: 57165069223953227
c1: 2940141257243004481354
c0: -7304026992600891397053451
# alpha -6.00
Y1: 135355970453
Y0: -89590634015656412400
# Murphy_E 1.88e-009
# M 59537625610639280219550455181988197619035910092365477801901749653682236582435332856660485432069236618267
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, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 266780 x 267011
Polynomial selection time: 0.74 hours.
Total sieving time: 6.39 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 7.43 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--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

22×10163+173

c138

name 名前Jo Yeong Uk
date 日付November 24, 2009 15:03:30 UTC 2009 年 11 月 25 日 (水) 0 時 3 分 30 秒 (日本時間)
composite number 合成数
365699007831793930864297489675417334693538526289939085369313738587375155136237648640690605141401806350384006471083639028582599730736100689<138>
prime factors 素因数
42195990389398706948573405544460493579875597777044234523676722681367<68>
8666676725845304738171565873149213256863607609495312249724267546417367<70>
factorization results 素因数分解の結果
Number: 73339_163
N=365699007831793930864297489675417334693538526289939085369313738587375155136237648640690605141401806350384006471083639028582599730736100689
  ( 138 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=42195990389398706948573405544460493579875597777044234523676722681367
 r2=8666676725845304738171565873149213256863607609495312249724267546417367
Version: 
Total time: 23.26 hours.
Scaled time: 55.59 units (timescale=2.390).
Factorization parameters were as follows:
n: 365699007831793930864297489675417334693538526289939085369313738587375155136237648640690605141401806350384006471083639028582599730736100689
m: 1000000000000000000000000000000000
deg: 5
c5: 11
c0: 850
skew: 2.39
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 4100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9997905
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 704228 x 704476
Total sieving time: 20.98 hours.
Total relation processing time: 0.95 hours.
Matrix solve time: 1.17 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 23.26 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672338)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672382)
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
351e6150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiNovember 2, 2009 11:51:48 UTC 2009 年 11 月 2 日 (月) 20 時 51 分 48 秒 (日本時間)

22×10164+173

c116

name 名前Wataru Sakai
date 日付November 3, 2009 05:31:03 UTC 2009 年 11 月 3 日 (火) 14 時 31 分 3 秒 (日本時間)
composite number 合成数
82490829140304478691039560828318252402654394707230977537412429559052759375381521009586216515519024555204826968197049<116>
prime factors 素因数
269086021530847369814271946140389205816260519<45>
306559325047837647788312601146073338380622501550858942342560398202515871<72>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=798243210
Step 1 took 34709ms
Step 2 took 13773ms
********** Factor found in step 2: 269086021530847369814271946140389205816260519
Found probable prime factor of 45 digits: 269086021530847369814271946140389205816260519
Probable prime cofactor 306559325047837647788312601146073338380622501550858942342560398202515871 has 72 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

22×10165+173

c153

name 名前Dmitry Domanov
date 日付November 21, 2009 02:50:16 UTC 2009 年 11 月 21 日 (土) 11 時 50 分 16 秒 (日本時間)
composite number 合成数
199208126487769991796364103302089043679339474132721978388235750360847909529230165819237363367477974758422067774506995317173602224035600454257517614160659<153>
prime factors 素因数
364142907767587768742722435741327326329<39>
547060294841478817301959720522487529530706748367558955882874997756231160054020556062246281597883447113999513409771<114>
factorization results 素因数分解の結果
Factor=364142907767587768742722435741327326329  Method=ECM  B1=11000000  Sigma=2604005257
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

22×10166+173

c153

name 名前Wataru Sakai
date 日付November 13, 2009 13:22:33 UTC 2009 年 11 月 13 日 (金) 22 時 22 分 33 秒 (日本時間)
composite number 合成数
484358508750643176663936835681906593235838524767765001810069448234657396117754486652019637082863748781456555081996193969222446620209155086837402235111359<153>
prime factors 素因数
641923119296141775585479279443339644024656140218061<51>
754542863764954247166210709332774211904122796445876029066108488793031852354112276874269887328583596219<102>
factorization results 素因数分解の結果
Number: 73339_166
N=484358508750643176663936835681906593235838524767765001810069448234657396117754486652019637082863748781456555081996193969222446620209155086837402235111359
  ( 153 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=641923119296141775585479279443339644024656140218061
 r2=754542863764954247166210709332774211904122796445876029066108488793031852354112276874269887328583596219
Version: 
Total time: 64.38 hours.
Scaled time: 129.54 units (timescale=2.012).
Factorization parameters were as follows:
n: 484358508750643176663936835681906593235838524767765001810069448234657396117754486652019637082863748781456555081996193969222446620209155086837402235111359
m: 2000000000000000000000000000000000
deg: 5
c5: 55
c0: 136
skew: 1.20
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2250000, 4450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 744654 x 744902
Total sieving time: 64.38 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000
total time: 64.38 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiNovember 9, 2009 13:39:40 UTC 2009 年 11 月 9 日 (月) 22 時 39 分 40 秒 (日本時間)

22×10168+173

c114

name 名前Dmitry Domanov
date 日付November 10, 2009 00:50:45 UTC 2009 年 11 月 10 日 (火) 9 時 50 分 45 秒 (日本時間)
composite number 合成数
361866992313925679835060995464419229628238498308302974917150353218753381622582951726188164535961708450542818297701<114>
prime factors 素因数
4177882563148851956956378400719707432499<40>
86614926782716481655642989173611606205822555745723844164409561209012769799<74>
factorization results 素因数分解の結果
Number: g114
N=361866992313925679835060995464419229628238498308302974917150353218753381622582951726188164535961708450542818297701
  ( 114 digits)
Divisors found:
 r1=4177882563148851956956378400719707432499 (pp40)
 r2=86614926782716481655642989173611606205822555745723844164409561209012769799 (pp74)
Version: Msieve-1.40
Total time: 18.28 hours.
Scaled time: 34.22 units (timescale=1.872).
Factorization parameters were as follows:
# Murphy_E = 6.914749e-10, selected by Erik Branger
n: 361866992313925679835060995464419229628238498308302974917150353218753381622582951726188164535961708450542818297701
Y0: -9358848905036098722083
Y1: 1217111908793
c0: 250679101103598290355518496
c1: -98749734681377813022512
c2: -1818902650774914967
c3: -83088339013152
c4: 558203372
c5: 5040
skew: 74097.95
type: gnfs
# selected mechanically
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 421885 x 422119
Total sieving time: 17.91 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.5,2.5,100000
total time: 18.28 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
351e6150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
403e6500 / 2310Erik BrangerNovember 9, 2009 16:20:38 UTC 2009 年 11 月 10 日 (火) 1 時 20 分 38 秒 (日本時間)

22×10169+173

c134

name 名前Sinkiti Sibata
date 日付January 26, 2010 23:17:27 UTC 2010 年 1 月 27 日 (水) 8 時 17 分 27 秒 (日本時間)
composite number 合成数
15971212974304417906048525818282723429608751406383523659834738212953427992855665340407431993651263698834077575048634794051616633320283<134>
prime factors 素因数
5487334936535897334915798574448482546918503788369089<52>
2910559161964859694876988163993258289780072279132476133576954218215569212223537947<82>
factorization results 素因数分解の結果
Number: 73339_169
N=15971212974304417906048525818282723429608751406383523659834738212953427992855665340407431993651263698834077575048634794051616633320283
  ( 134 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=5487334936535897334915798574448482546918503788369089 (pp52)
 r2=2910559161964859694876988163993258289780072279132476133576954218215569212223537947 (pp82)
Version: Msieve-1.40
Total time: 68.69 hours.
Scaled time: 196.24 units (timescale=2.857).
Factorization parameters were as follows:
name: 73339_169
n: 15971212974304417906048525818282723429608751406383523659834738212953427992855665340407431993651263698834077575048634794051616633320283
m: 2000000000000000000000000000000000
deg: 5
c5: 6875
c0: 17
skew: 0.30
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2400000, 5700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 977575 x 977823
Total sieving time: 66.06 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.11 hours.
Time per square root: 0.40 hours.
Prototype def-par.txt line would be:
snfs,170.000,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 68.69 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiNovember 10, 2009 07:06:38 UTC 2009 年 11 月 10 日 (火) 16 時 6 分 38 秒 (日本時間)

22×10170+173

c145

name 名前Sinkiti Sibata
date 日付January 23, 2010 23:22:37 UTC 2010 年 1 月 24 日 (日) 8 時 22 分 37 秒 (日本時間)
composite number 合成数
5537360765819849259875552251352627506388909783495415279476553124141926490232770177806408186380898505825864924560612188964201351331085136638622889<145>
prime factors 素因数
114582171023490113506590096767534266323253<42>
48326547807203383906058927957691504591680057173796619254099088972294047571891853411039137292478023090213<104>
factorization results 素因数分解の結果
Number: 73339_170
N=5537360765819849259875552251352627506388909783495415279476553124141926490232770177806408186380898505825864924560612188964201351331085136638622889
  ( 145 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=114582171023490113506590096767534266323253 (pp42)
 r2=48326547807203383906058927957691504591680057173796619254099088972294047571891853411039137292478023090213 (pp104)
Version: Msieve-1.40
Total time: 57.36 hours.
Scaled time: 186.65 units (timescale=3.254).
Factorization parameters were as follows:
name: 73339_170
n: 5537360765819849259875552251352627506388909783495415279476553124141926490232770177806408186380898505825864924560612188964201351331085136638622889
m: 10000000000000000000000000000000000
deg: 5
c5: 22
c0: 17
skew: 0.95
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 5300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 924135 x 924383
Total sieving time: 55.49 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.69 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 57.36 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiNovember 20, 2009 04:18:12 UTC 2009 年 11 月 20 日 (金) 13 時 18 分 12 秒 (日本時間)

22×10171+173

c156

name 名前Sinkiti Sibata
date 日付January 26, 2010 05:21:20 UTC 2010 年 1 月 26 日 (火) 14 時 21 分 20 秒 (日本時間)
composite number 合成数
119283500234565861674793989907704031773057916362674360491361788597669024797572817545250891609942863846768250948218234618893727585320295787402478603545909737<156>
prime factors 素因数
4801380096929122763284469553095121059572829611<46>
24843586182826363811941476368964606676148597206543456704720121793901132456425969139602398505782542094181767867<110>
factorization results 素因数分解の結果
Number: 73339_171
N=119283500234565861674793989907704031773057916362674360491361788597669024797572817545250891609942863846768250948218234618893727585320295787402478603545909737
  ( 156 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=4801380096929122763284469553095121059572829611 (pp46)
 r2=24843586182826363811941476368964606676148597206543456704720121793901132456425969139602398505782542094181767867 (pp110)
Version: Msieve-1.40
Total time: 74.67 hours.
Scaled time: 233.34 units (timescale=3.125).
Factorization parameters were as follows:
name: 73339_171
n: 119283500234565861674793989907704031773057916362674360491361788597669024797572817545250891609942863846768250948218234618893727585320295787402478603545909737
m: 10000000000000000000000000000000000
deg: 5
c5: 220
c0: 17
skew: 0.60
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2600000, 6200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1049803 x 1050051
Total sieving time: 71.90 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.24 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 74.67 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiNovember 23, 2009 03:38:26 UTC 2009 年 11 月 23 日 (月) 12 時 38 分 26 秒 (日本時間)
4511e6420Dmitry DomanovNovember 23, 2009 13:08:27 UTC 2009 年 11 月 23 日 (月) 22 時 8 分 27 秒 (日本時間)
5043e61020 / 7371yoyo@homeFebruary 23, 2010 20:10:10 UTC 2010 年 2 月 24 日 (水) 5 時 10 分 10 秒 (日本時間)

22×10172+173

c153

name 名前Wataru Sakai
date 日付November 19, 2009 12:25:34 UTC 2009 年 11 月 19 日 (木) 21 時 25 分 34 秒 (日本時間)
composite number 合成数
878529401213390964503635438116104319892881788437342287992997533451263956590349605679454804351974998012799260691363364584387194199545906173136976150801139<153>
prime factors 素因数
4675036528889963296972072581793651<34>
composite cofactor 合成数の残り
187919259193893023850805073342750434538681070849906401604520432741490252970095903458623817348949668880171189653291036289<120>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2243017104
Step 1 took 47067ms
********** Factor found in step 1: 4675036528889963296972072581793651
Found probable prime factor of 34 digits: 4675036528889963296972072581793651
Composite cofactor 187919259193893023850805073342750434538681070849906401604520432741490252970095903458623817348949668880171189653291036289 has 120 digits
software ソフトウェア
GMP-ECM 6.2.1

c120

name 名前Lionel Debroux
date 日付December 28, 2009 16:03:40 UTC 2009 年 12 月 29 日 (火) 1 時 3 分 40 秒 (日本時間)
composite number 合成数
187919259193893023850805073342750434538681070849906401604520432741490252970095903458623817348949668880171189653291036289<120>
prime factors 素因数
4074853664225918152779799420342325047934844054774502163<55>
46116811713676891179854004671302800576742646582604146236410664603<65>
factorization results 素因数分解の結果
Number: 73339_172
N=187919259193893023850805073342750434538681070849906401604520432741490252970095903458623817348949668880171189653291036289
  ( 120 digits)
Divisors found:
 r1=4074853664225918152779799420342325047934844054774502163 (pp55)
 r2=46116811713676891179854004671302800576742646582604146236410664603 (pp65)
Version: Msieve v. 1.44
Total time: 78.46 hours.
Scaled time: 106.94 units (timescale=1.363).
Factorization parameters were as follows:
name: 73339_172
n: 187919259193893023850805073342750434538681070849906401604520432741490252970095903458623817348949668880171189653291036289
skew: 104756.00
# norm 9.14e+16
c5: 25200
c4: -260544822
c3: -2366291208980239
c2: -7119633336839529029
c1: 4031584530173389262249915
c0: 32559439132398354731804486055
# alpha -6.64
Y1: 5657918119711
Y0: -94300545302827685745688
# Murphy_E 3.11e-10
# M 164558478807530860101046739433279822423850914918264143885102206091264294210852467453070349524508279260178368425486702192
type: gnfs
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [2100000, 4200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 570837 x 571062
Polynomial selection time: 5.27 hours.
Total sieving time: 72.04 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.81 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
gnfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4200000,4200000,27,27,53,53,2.5,2.5,100000
total time: 78.46 hours.
 --------- CPU info (if available) ----------
[    0.030036] CPU0: Intel(R) Core(TM)2 CPU         T7200  @ 2.00GHz stepping 06
[    0.102107] CPU1: Intel(R) Core(TM)2 CPU         T7200  @ 2.00GHz stepping 06
[    0.000000] Memory: 2051108k/2096800k available (7384k kernel code, 452k absent, 44552k reserved, 3471k data, 780k init)
[    0.001009] Calibrating delay loop (skipped), value calculated using timer frequency.. 3989.98 BogoMIPS (lpj=1994992)
[    0.001999] Calibrating delay using timer specific routine.. 3949.27 BogoMIPS (lpj=1974635)
[    0.103028] Total of 2 processors activated (7939.25 BogoMIPS).
software ソフトウェア
ggnfs + msieve
execution environment 実行環境
Core 2 Duo T7200 @ 2 GHz, 2 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiNovember 20, 2009 06:49:10 UTC 2009 年 11 月 20 日 (金) 15 時 49 分 10 秒 (日本時間)
4511e60 / 3787--
5043e650 / 7465Lionel DebrouxDecember 26, 2009 19:57:06 UTC 2009 年 12 月 27 日 (日) 4 時 57 分 6 秒 (日本時間)

22×10174+173

c109

name 名前Jo Yeong Uk
date 日付November 1, 2009 00:27:26 UTC 2009 年 11 月 1 日 (日) 9 時 27 分 26 秒 (日本時間)
composite number 合成数
5084319135126920777631876200778913427885337276529824188767754686508222745647975461621247367668558838837543361<109>
prime factors 素因数
5876623023071862162976999206484510040519<40>
865177009851691364199653394697094788721195171472216998317404188606519<69>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 5084319135126920777631876200778913427885337276529824188767754686508222745647975461621247367668558838837543361 (109 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2954220047
Step 1 took 3495ms
Step 2 took 3806ms
********** Factor found in step 2: 5876623023071862162976999206484510040519
Found probable prime factor of 40 digits: 5876623023071862162976999206484510040519
Probable prime cofactor 865177009851691364199653394697094788721195171472216998317404188606519 has 69 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

22×10175+173

c152

name 名前Wataru Sakai
date 日付September 4, 2011 05:19:44 UTC 2011 年 9 月 4 日 (日) 14 時 19 分 44 秒 (日本時間)
composite number 合成数
70356815939197195774523007510041627219348467151572346398925143494894074779930054103063695408618619270668685866483918900606746904253293359688103942657029<152>
prime factors 素因数
512097460175584960898218837821358718639<39>
137389503777413121959129098542241616986814818364148058260468531561767737196583372457859737985710728193583238768011<114>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=385189210
Step 1 took 55170ms
Step 2 took 22286ms
********** Factor found in step 2: 512097460175584960898218837821358718639
Found probable prime factor of 39 digits: 512097460175584960898218837821358718639
Probable prime cofactor 137389503777413121959129098542241616986814818364148058260468531561767737196583372457859737985710728193583238768011 has 114 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
300Ignacio SantosJuly 9, 2010 18:18:37 UTC 2010 年 7 月 10 日 (土) 3 時 18 分 37 秒 (日本時間)
403e62117110Ignacio SantosJuly 9, 2010 18:18:37 UTC 2010 年 7 月 10 日 (土) 3 時 18 分 37 秒 (日本時間)
2007Wataru SakaiJuly 19, 2010 04:17:32 UTC 2010 年 7 月 19 日 (月) 13 時 17 分 32 秒 (日本時間)
4511e6232 / 399232Ignacio SantosJuly 9, 2010 18:18:37 UTC 2010 年 7 月 10 日 (土) 3 時 18 分 37 秒 (日本時間)
200Ignacio SantosJanuary 7, 2011 16:46:13 UTC 2011 年 1 月 8 日 (土) 1 時 46 分 13 秒 (日本時間)

22×10176+173

c136

name 名前Ignacio Santos
date 日付May 23, 2011 15:33:13 UTC 2011 年 5 月 24 日 (火) 0 時 33 分 13 秒 (日本時間)
composite number 合成数
7935423477169658134310187034982535733146185670127562266766356817427085000175882918682952934463207651253554223521602419990345603814596651<136>
prime factors 素因数
102251819669926954182022205629304387299<39>
77606672456153141212653409059038755124455701767151684918343947623489683784395339449303602151681049<98>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2931906451
Step 1 took 82540ms
Step 2 took 37144ms
********** Factor found in step 2: 102251819669926954182022205629304387299
Found probable prime factor of 39 digits: 102251819669926954182022205629304387299
Probable prime cofactor 77606672456153141212653409059038755124455701767151684918343947623489683784395339449303602151681049 has 98 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

22×10178+173

c170

name 名前matsui
date 日付September 5, 2010 20:44:25 UTC 2010 年 9 月 6 日 (月) 5 時 44 分 25 秒 (日本時間)
composite number 合成数
64426854591414304751747692568822008487869687950307381972859865954792445155568932600990817258278895401308608809817298738667235377740310711432636921234789902075336553171403<170>
prime factors 素因数
267364275045367409483372205692492631029<39>
136428752254325475899998801070449004631241<42>
1766272246947741343948954638126637748393267795313964875911376914672686611716641902246464327<91>
factorization results 素因数分解の結果
N=64426854591414304751747692568822008487869687950307381972859865954792445155568932600990817258278895401308608809817298738667235377740310711432636921234789902075336553171403
  ( 170 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=267364275045367409483372205692492631029 (pp39)
 r2=136428752254325475899998801070449004631241 (pp42)
 r3=1766272246947741343948954638126637748393267795313964875911376914672686611716641902246464327 (pp91)
Version: Msieve v. 1.47
Total time:
Scaled time: 65.94 units (timescale=1.837).
Factorization parameters were as follows:
n: 64426854591414304751747692568822008487869687950307381972859865954792445155568932600990817258278895401308608809817298738667235377740310711432636921234789902075336553171403
m: 100000000000000000000000000000000000
deg: 5
c5: 22000
c0: 17
skew: 0.24
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3400000, 8520001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1332035 x 1332265
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

22×10179+173

c106

name 名前Serge Batalov
date 日付October 30, 2009 09:28:03 UTC 2009 年 10 月 30 日 (金) 18 時 28 分 3 秒 (日本時間)
composite number 合成数
7901564532553776101900999138272962087817635268753497562460918743669747252445254672041200629658178874095533<106>
prime factors 素因数
446056747541793215384851975393451<33>
17714258502083168870661444117316394335176926736315549830701596471827794183<74>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1545800992
Step 1 took 2365ms
Step 2 took 1700ms
********** Factor found in step 2: 446056747541793215384851975393451
Found probable prime factor of 33 digits: 446056747541793215384851975393451
Probable prime cofactor has 74 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

22×10181+173

c167

name 名前Robert Backstrom
date 日付March 5, 2012 13:46:06 UTC 2012 年 3 月 5 日 (月) 22 時 46 分 6 秒 (日本時間)
composite number 合成数
19677424515485807609892797631258381004086429230663466494213653078813491470442523125313646123747648613574030415314114768209700255963805819915397790853041706341720944257<167>
prime factors 素因数
704072098091839079414991589392564567973049039<45>
5330775920797105593768793705609448230384798363<46>
5242768650612687205727389228983707056447149757155122930438994250510325682301<76>
factorization results 素因数分解の結果
Number: n
N=19677424515485807609892797631258381004086429230663466494213653078813491470442523125313646123747648613574030415314114768209700255963805819915397790853041706341720944257
  ( 167 digits)
SNFS difficulty: 182 digits.
Divisors found:

Tue Mar  6 00:15:21 2012  prp45 factor: 704072098091839079414991589392564567973049039
Tue Mar  6 00:15:21 2012  prp46 factor: 5330775920797105593768793705609448230384798363
Tue Mar  6 00:15:21 2012  prp76 factor: 5242768650612687205727389228983707056447149757155122930438994250510325682301
Tue Mar  6 00:15:21 2012  elapsed time 03:23:33 (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_73339_181
n: 19677424515485807609892797631258381004086429230663466494213653078813491470442523125313646123747648613574030415314114768209700255963805819915397790853041706341720944257
m: 1000000000000000000000000000000000000
#  c167, diff: 182.34
skew: 0.6
deg: 5
c5: 220
c0: 17
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6346174 hash collisions in 77823399 relations (74264409 unique)
Msieve: matrix is 1167350 x 1167598 (319.3 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:
snfs,182,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 23, 2011 16:42:36 UTC 2011 年 5 月 24 日 (火) 1 時 42 分 36 秒 (日本時間)
403e6110 / 2117Ignacio SantosMay 23, 2011 16:42:36 UTC 2011 年 5 月 24 日 (火) 1 時 42 分 36 秒 (日本時間)
4511e632 / 4435Ignacio SantosMay 23, 2011 16:42:36 UTC 2011 年 5 月 24 日 (火) 1 時 42 分 36 秒 (日本時間)

22×10183+173

c165

name 名前Serge Batalov
date 日付October 30, 2009 08:19:42 UTC 2009 年 10 月 30 日 (金) 17 時 19 分 42 秒 (日本時間)
composite number 合成数
969236063495278383004613030599178598803457062895211757324292847963130639186797671549548412034064258392176113209570435138823426348561622075321160027973633347250214763<165>
prime factors 素因数
8048080087752238884475113802981<31>
composite cofactor 合成数の残り
120430718000717344755122639668146818766081866163800205532918460738996973886808495543748787636747999455799416767695465023104549925150223<135>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1294281311
Step 1 took 3488ms
Step 2 took 2468ms
********** Factor found in step 2: 8048080087752238884475113802981
Found probable prime factor of 31 digits: 8048080087752238884475113802981
Composite cofactor has 135 digits

c135

name 名前Ignacio Santos
date 日付July 19, 2011 08:12:14 UTC 2011 年 7 月 19 日 (火) 17 時 12 分 14 秒 (日本時間)
composite number 合成数
120430718000717344755122639668146818766081866163800205532918460738996973886808495543748787636747999455799416767695465023104549925150223<135>
prime factors 素因数
886632450801118271174703245112660765929882939<45>
135829359608823208546602512221816612280528479534092338273244988606977805711441240024919357<90>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2710483641
Step 1 took 60404ms
Step 2 took 31777ms
********** Factor found in step 2: 886632450801118271174703245112660765929882939
Found probable prime factor of 45 digits: 886632450801118271174703245112660765929882939
Probable prime cofactor 135829359608823208546602512221816612280528479534092338273244988606977805711441240024919357 has 90 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 23, 2011 17:04:59 UTC 2011 年 5 月 24 日 (火) 2 時 4 分 59 秒 (日本時間)
403e6110 / 2117Ignacio SantosMay 23, 2011 17:04:59 UTC 2011 年 5 月 24 日 (火) 2 時 4 分 59 秒 (日本時間)
4511e632 / 4435Ignacio SantosMay 23, 2011 17:04:59 UTC 2011 年 5 月 24 日 (火) 2 時 4 分 59 秒 (日本時間)

22×10186+173

c181

name 名前Ignacio Santos
date 日付March 11, 2010 01:10:43 UTC 2010 年 3 月 11 日 (木) 10 時 10 分 43 秒 (日本時間)
composite number 合成数
2297180618018855049678097124170026032277267194579656147563364855872277592976558211548824955567828068978486590260350965343166937055267137567809900368144077497685329484093955940284581<181>
prime factors 素因数
944685932004079764194188170776387099807620965992588360010588910714222684485807307899046421<90>
2431687124995669290451624315857320461927857836609465959422243345291545190333541792931194961<91>
factorization results 素因数分解の結果
Number: 1
N=2297180618018855049678097124170026032277267194579656147563364855872277592976558211548824955567828068978486590260350965343166937055267137567809900368144077497685329484093955940284581
  ( 181 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=944685932004079764194188170776387099807620965992588360010588910714222684485807307899046421 (pp90)
 r2=2431687124995669290451624315857320461927857836609465959422243345291545190333541792931194961 (pp91)
Version: Msieve-1.40
Total time: 256.55 hours.
Scaled time: 446.13 units (timescale=1.739).
Factorization parameters were as follows:
n: 2297180618018855049678097124170026032277267194579656147563364855872277592976558211548824955567828068978486590260350965343166937055267137567809900368144077497685329484093955940284581
m: 10000000000000000000000000000000000000
deg: 5
c5: 220
c0: 17
skew: 0.60
type: snfs
lss: 1
rlim: 9300000
alim: 9300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4650000, 8750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1958754 x 1958979
Total sieving time: 249.43 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 6.06 hours.
Time per square root: 0.82 hours.
Prototype def-par.txt line would be:
snfs,187.000,5,0,0,0,0,0,0,0,0,9300000,9300000,28,28,54,54,2.5,2.5,100000
total time: 256.55 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
351e6150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
403e6700 / 2310Erik BrangerDecember 10, 2009 16:25:46 UTC 2009 年 12 月 11 日 (金) 1 時 25 分 46 秒 (日本時間)

22×10187+173

c163

name 名前Dmitry Domanov
date 日付January 30, 2013 16:17:45 UTC 2013 年 1 月 31 日 (木) 1 時 17 分 45 秒 (日本時間)
composite number 合成数
2045154339929347766810999034200771669365319388243737086031731111922523497232740080599414428114072797714890023070510319610138615447227022511827696419765394999103167<163>
prime factors 素因数
2635262842484547573610605269933995884371107<43>
11241790487317795150126681467995634113645965157308743463<56>
69034576113832082346366311360077117299297296701865089761894661187<65>
factorization results 素因数分解の結果
Don't know why YAFU leaves composite factor, possible buggy version.

Wed Jan 30 14:08:10 2013  commencing relation filtering
Wed Jan 30 14:08:10 2013  estimated available RAM is 48157.8 MB
Wed Jan 30 14:08:10 2013  commencing duplicate removal, pass 1
Wed Jan 30 14:12:22 2013  skipped 1 relations with b > 2^32
Wed Jan 30 14:12:22 2013  found 3264867 hash collisions in 21570758 relations
Wed Jan 30 14:12:54 2013  added 714877 free relations
Wed Jan 30 14:12:54 2013  commencing duplicate removal, pass 2
Wed Jan 30 14:13:03 2013  found 2983906 duplicates and 19301729 unique relations
Wed Jan 30 14:13:03 2013  memory use: 98.6 MB
Wed Jan 30 14:13:03 2013  reading ideals above 720000
Wed Jan 30 14:13:03 2013  commencing singleton removal, initial pass
Wed Jan 30 14:17:29 2013  memory use: 689.0 MB
Wed Jan 30 14:17:29 2013  reading all ideals from disk
Wed Jan 30 14:17:29 2013  memory use: 615.2 MB
Wed Jan 30 14:17:31 2013  keeping 21411805 ideals with weight <= 200, target excess is 116360
Wed Jan 30 14:17:33 2013  commencing in-memory singleton removal
Wed Jan 30 14:17:34 2013  begin with 19301729 relations and 21411805 unique ideals
Wed Jan 30 14:17:51 2013  reduce to 7882493 relations and 7657998 ideals in 18 passes
Wed Jan 30 14:17:51 2013  max relations containing the same ideal: 110
Wed Jan 30 14:17:54 2013  removing 564053 relations and 519294 ideals in 44759 cliques
Wed Jan 30 14:17:55 2013  commencing in-memory singleton removal
Wed Jan 30 14:17:55 2013  begin with 7318440 relations and 7657998 unique ideals
Wed Jan 30 14:18:01 2013  reduce to 7286335 relations and 7106336 ideals in 9 passes
Wed Jan 30 14:18:01 2013  max relations containing the same ideal: 106
Wed Jan 30 14:18:05 2013  removing 407066 relations and 362307 ideals in 44759 cliques
Wed Jan 30 14:18:05 2013  commencing in-memory singleton removal
Wed Jan 30 14:18:05 2013  begin with 6879269 relations and 7106336 unique ideals
Wed Jan 30 14:18:11 2013  reduce to 6861081 relations and 6725711 ideals in 10 passes
Wed Jan 30 14:18:11 2013  max relations containing the same ideal: 100
Wed Jan 30 14:18:16 2013  relations with 0 large ideals: 2931
Wed Jan 30 14:18:16 2013  relations with 1 large ideals: 862
Wed Jan 30 14:18:16 2013  relations with 2 large ideals: 16055
Wed Jan 30 14:18:16 2013  relations with 3 large ideals: 127477
Wed Jan 30 14:18:16 2013  relations with 4 large ideals: 536679
Wed Jan 30 14:18:16 2013  relations with 5 large ideals: 1320082
Wed Jan 30 14:18:16 2013  relations with 6 large ideals: 2017437
Wed Jan 30 14:18:16 2013  relations with 7+ large ideals: 2839558
Wed Jan 30 14:18:16 2013  commencing 2-way merge
Wed Jan 30 14:18:21 2013  reduce to 4043411 relation sets and 3908041 unique ideals
Wed Jan 30 14:18:21 2013  ignored 1 oversize relation sets
Wed Jan 30 14:18:21 2013  commencing full merge
Wed Jan 30 14:19:30 2013  memory use: 474.1 MB
Wed Jan 30 14:19:30 2013  found 2070857 cycles, need 2056241
Wed Jan 30 14:19:31 2013  weight of 2056241 cycles is about 144252133 (70.15/cycle)
Wed Jan 30 14:19:31 2013  distribution of cycle lengths:
Wed Jan 30 14:19:31 2013  1 relations: 307811
Wed Jan 30 14:19:31 2013  2 relations: 263897
Wed Jan 30 14:19:31 2013  3 relations: 243920
Wed Jan 30 14:19:31 2013  4 relations: 209648
Wed Jan 30 14:19:31 2013  5 relations: 182199
Wed Jan 30 14:19:31 2013  6 relations: 149731
Wed Jan 30 14:19:31 2013  7 relations: 128810
Wed Jan 30 14:19:31 2013  8 relations: 106042
Wed Jan 30 14:19:31 2013  9 relations: 87717
Wed Jan 30 14:19:31 2013  10+ relations: 376466
Wed Jan 30 14:19:31 2013  heaviest cycle: 25 relations
Wed Jan 30 14:19:32 2013  commencing cycle optimization
Wed Jan 30 14:19:35 2013  start with 11823589 relations
Wed Jan 30 14:19:53 2013  pruned 255281 relations
Wed Jan 30 14:19:53 2013  memory use: 396.3 MB
Wed Jan 30 14:19:53 2013  distribution of cycle lengths:
Wed Jan 30 14:19:53 2013  1 relations: 307811
Wed Jan 30 14:19:53 2013  2 relations: 269370
Wed Jan 30 14:19:53 2013  3 relations: 251519
Wed Jan 30 14:19:53 2013  4 relations: 213539
Wed Jan 30 14:19:53 2013  5 relations: 185244
Wed Jan 30 14:19:53 2013  6 relations: 151003
Wed Jan 30 14:19:53 2013  7 relations: 129088
Wed Jan 30 14:19:53 2013  8 relations: 104973
Wed Jan 30 14:19:53 2013  9 relations: 86476
Wed Jan 30 14:19:53 2013  10+ relations: 357218
Wed Jan 30 14:19:53 2013  heaviest cycle: 25 relations
Wed Jan 30 14:19:56 2013  RelProcTime: 706
Wed Jan 30 14:19:56 2013  
Wed Jan 30 14:19:56 2013  commencing linear algebra
Wed Jan 30 14:19:56 2013  read 2056241 cycles
Wed Jan 30 14:20:00 2013  cycles contain 6709846 unique relations
Wed Jan 30 14:21:20 2013  read 6709846 relations
Wed Jan 30 14:21:30 2013  using 20 quadratic characters above 268435274
Wed Jan 30 14:22:06 2013  building initial matrix
Wed Jan 30 14:23:30 2013  memory use: 827.3 MB
Wed Jan 30 14:23:31 2013  read 2056241 cycles
Wed Jan 30 14:23:32 2013  matrix is 2056079 x 2056241 (618.8 MB) with weight 182831544 (88.92/col)
Wed Jan 30 14:23:32 2013  sparse part has weight 139606357 (67.89/col)
Wed Jan 30 14:23:56 2013  filtering completed in 2 passes
Wed Jan 30 14:23:56 2013  matrix is 2053501 x 2053669 (618.6 MB) with weight 182743039 (88.98/col)
Wed Jan 30 14:23:56 2013  sparse part has weight 139574880 (67.96/col)
Wed Jan 30 14:24:02 2013  matrix starts at (0, 0)
Wed Jan 30 14:24:03 2013  matrix is 2053501 x 2053669 (618.6 MB) with weight 182743039 (88.98/col)
Wed Jan 30 14:24:03 2013  sparse part has weight 139574880 (67.96/col)
Wed Jan 30 14:24:03 2013  saving the first 48 matrix rows for later
Wed Jan 30 14:24:03 2013  matrix includes 64 packed rows
Wed Jan 30 14:24:03 2013  matrix is 2053453 x 2053669 (587.4 MB) with weight 145707646 (70.95/col)
Wed Jan 30 14:24:03 2013  sparse part has weight 133447396 (64.98/col)
Wed Jan 30 14:24:03 2013  using block size 262144 for processor cache size 12288 kB
Wed Jan 30 14:24:08 2013  commencing Lanczos iteration (16 threads)
Wed Jan 30 14:24:08 2013  memory use: 886.5 MB
Wed Jan 30 14:24:20 2013  linear algebra at 0.1%, ETA 4h 7m
Wed Jan 30 14:24:24 2013  checkpointing every 490000 dimensions
Wed Jan 30 18:47:06 2013  lanczos halted after 32473 iterations (dim = 2053446)
Wed Jan 30 18:47:10 2013  recovered 40 nontrivial dependencies
Wed Jan 30 18:47:10 2013  BLanczosTime: 16034
Wed Jan 30 18:47:10 2013  
Wed Jan 30 18:47:10 2013  commencing square root phase
Wed Jan 30 18:47:10 2013  reading relations for dependency 1
Wed Jan 30 18:47:10 2013  read 1027054 cycles
Wed Jan 30 18:47:11 2013  cycles contain 3356294 unique relations
Wed Jan 30 18:47:53 2013  read 3356294 relations
Wed Jan 30 18:48:09 2013  multiplying 3356294 relations
Wed Jan 30 18:51:27 2013  multiply complete, coefficients have about 110.66 million bits
Wed Jan 30 18:51:28 2013  initial square root is modulo 87652651
Wed Jan 30 18:55:37 2013  Newton iteration failed to converge
Wed Jan 30 18:55:37 2013  algebraic square root failed
Wed Jan 30 18:55:37 2013  reading relations for dependency 2
Wed Jan 30 18:55:37 2013  read 1027264 cycles
Wed Jan 30 18:55:39 2013  cycles contain 3356600 unique relations
Wed Jan 30 18:56:20 2013  read 3356600 relations
Wed Jan 30 18:56:36 2013  multiplying 3356600 relations
Wed Jan 30 18:59:54 2013  multiply complete, coefficients have about 110.67 million bits
Wed Jan 30 18:59:55 2013  initial square root is modulo 87757921
Wed Jan 30 19:04:05 2013  sqrtTime: 1015
Wed Jan 30 19:58:24 2013  commencing relation filtering
Wed Jan 30 19:58:24 2013  estimated available RAM is 48157.8 MB
Wed Jan 30 19:58:24 2013  commencing duplicate removal, pass 1
Wed Jan 30 19:59:35 2013  found 427102 hash collisions in 5932049 relations
Wed Jan 30 19:59:42 2013  added 2626 free relations
Wed Jan 30 19:59:42 2013  commencing duplicate removal, pass 2
Wed Jan 30 19:59:43 2013  found 216166 duplicates and 5718509 unique relations
Wed Jan 30 19:59:43 2013  memory use: 24.6 MB
Wed Jan 30 19:59:43 2013  reading ideals above 100000
Wed Jan 30 19:59:44 2013  commencing singleton removal, initial pass
Wed Jan 30 20:01:01 2013  memory use: 172.2 MB
Wed Jan 30 20:01:01 2013  reading all ideals from disk
Wed Jan 30 20:01:02 2013  memory use: 190.3 MB
Wed Jan 30 20:01:02 2013  keeping 6060971 ideals with weight <= 200, target excess is 52132
Wed Jan 30 20:01:02 2013  commencing in-memory singleton removal
Wed Jan 30 20:01:03 2013  begin with 5718509 relations and 6060971 unique ideals
Wed Jan 30 20:01:06 2013  reduce to 2497698 relations and 2280701 ideals in 16 passes
Wed Jan 30 20:01:06 2013  max relations containing the same ideal: 113
Wed Jan 30 20:01:07 2013  removing 531323 relations and 453061 ideals in 78262 cliques
Wed Jan 30 20:01:07 2013  commencing in-memory singleton removal
Wed Jan 30 20:01:07 2013  begin with 1966375 relations and 2280701 unique ideals
Wed Jan 30 20:01:08 2013  reduce to 1883822 relations and 1741741 ideals in 10 passes
Wed Jan 30 20:01:08 2013  max relations containing the same ideal: 93
Wed Jan 30 20:01:08 2013  removing 397801 relations and 319539 ideals in 78262 cliques
Wed Jan 30 20:01:09 2013  commencing in-memory singleton removal
Wed Jan 30 20:01:09 2013  begin with 1486021 relations and 1741741 unique ideals
Wed Jan 30 20:01:09 2013  reduce to 1420894 relations and 1354311 ideals in 8 passes
Wed Jan 30 20:01:09 2013  max relations containing the same ideal: 78
Wed Jan 30 20:01:10 2013  relations with 0 large ideals: 646
Wed Jan 30 20:01:10 2013  relations with 1 large ideals: 3618
Wed Jan 30 20:01:10 2013  relations with 2 large ideals: 25053
Wed Jan 30 20:01:10 2013  relations with 3 large ideals: 108958
Wed Jan 30 20:01:10 2013  relations with 4 large ideals: 274621
Wed Jan 30 20:01:10 2013  relations with 5 large ideals: 418123
Wed Jan 30 20:01:10 2013  relations with 6 large ideals: 351766
Wed Jan 30 20:01:10 2013  relations with 7+ large ideals: 238109
Wed Jan 30 20:01:10 2013  commencing 2-way merge
Wed Jan 30 20:01:11 2013  reduce to 846740 relation sets and 780158 unique ideals
Wed Jan 30 20:01:11 2013  ignored 1 oversize relation sets
Wed Jan 30 20:01:11 2013  commencing full merge
Wed Jan 30 20:01:21 2013  memory use: 80.6 MB
Wed Jan 30 20:01:21 2013  found 400656 cycles, need 388358
Wed Jan 30 20:01:21 2013  weight of 388358 cycles is about 27274147 (70.23/cycle)
Wed Jan 30 20:01:21 2013  distribution of cycle lengths:
Wed Jan 30 20:01:21 2013  1 relations: 38794
Wed Jan 30 20:01:21 2013  2 relations: 39572
Wed Jan 30 20:01:21 2013  3 relations: 41435
Wed Jan 30 20:01:21 2013  4 relations: 38959
Wed Jan 30 20:01:21 2013  5 relations: 36271
Wed Jan 30 20:01:21 2013  6 relations: 32228
Wed Jan 30 20:01:21 2013  7 relations: 28559
Wed Jan 30 20:01:21 2013  8 relations: 25298
Wed Jan 30 20:01:21 2013  9 relations: 21935
Wed Jan 30 20:01:21 2013  10+ relations: 85307
Wed Jan 30 20:01:21 2013  heaviest cycle: 23 relations
Wed Jan 30 20:01:21 2013  commencing cycle optimization
Wed Jan 30 20:01:22 2013  start with 2461653 relations
Wed Jan 30 20:01:25 2013  pruned 61606 relations
Wed Jan 30 20:01:25 2013  memory use: 80.2 MB
Wed Jan 30 20:01:25 2013  distribution of cycle lengths:
Wed Jan 30 20:01:25 2013  1 relations: 38794
Wed Jan 30 20:01:25 2013  2 relations: 40503
Wed Jan 30 20:01:25 2013  3 relations: 42841
Wed Jan 30 20:01:25 2013  4 relations: 40028
Wed Jan 30 20:01:25 2013  5 relations: 37292
Wed Jan 30 20:01:25 2013  6 relations: 32679
Wed Jan 30 20:01:25 2013  7 relations: 29164
Wed Jan 30 20:01:25 2013  8 relations: 25464
Wed Jan 30 20:01:25 2013  9 relations: 21803
Wed Jan 30 20:01:25 2013  10+ relations: 79790
Wed Jan 30 20:01:25 2013  heaviest cycle: 21 relations
Wed Jan 30 20:01:26 2013  RelProcTime: 182
Wed Jan 30 20:01:26 2013  
Wed Jan 30 20:01:26 2013  commencing linear algebra
Wed Jan 30 20:01:26 2013  read 388358 cycles
Wed Jan 30 20:01:26 2013  cycles contain 1326233 unique relations
Wed Jan 30 20:01:43 2013  read 1326233 relations
Wed Jan 30 20:01:44 2013  using 20 quadratic characters above 67108748
Wed Jan 30 20:01:51 2013  building initial matrix
Wed Jan 30 20:02:05 2013  memory use: 167.2 MB
Wed Jan 30 20:02:05 2013  read 388358 cycles
Wed Jan 30 20:02:05 2013  matrix is 388161 x 388358 (116.2 MB) with weight 36913981 (95.05/col)
Wed Jan 30 20:02:05 2013  sparse part has weight 26186366 (67.43/col)
Wed Jan 30 20:02:09 2013  filtering completed in 2 passes
Wed Jan 30 20:02:09 2013  matrix is 386503 x 386700 (116.0 MB) with weight 36828659 (95.24/col)
Wed Jan 30 20:02:09 2013  sparse part has weight 26149040 (67.62/col)
Wed Jan 30 20:02:10 2013  matrix starts at (0, 0)
Wed Jan 30 20:02:11 2013  matrix is 386503 x 386700 (116.0 MB) with weight 36828659 (95.24/col)
Wed Jan 30 20:02:11 2013  sparse part has weight 26149040 (67.62/col)
Wed Jan 30 20:02:11 2013  saving the first 48 matrix rows for later
Wed Jan 30 20:02:11 2013  matrix includes 64 packed rows
Wed Jan 30 20:02:11 2013  matrix is 386455 x 386700 (111.6 MB) with weight 29054379 (75.13/col)
Wed Jan 30 20:02:11 2013  sparse part has weight 25377963 (65.63/col)
Wed Jan 30 20:02:11 2013  using block size 154582 for processor cache size 12288 kB
Wed Jan 30 20:02:12 2013  commencing Lanczos iteration (16 threads)
Wed Jan 30 20:02:12 2013  memory use: 161.2 MB
Wed Jan 30 20:02:26 2013  linear algebra at 3.1%, ETA 0h 7m
Wed Jan 30 20:09:35 2013  lanczos halted after 6113 iterations (dim = 386451)
Wed Jan 30 20:09:36 2013  recovered 31 nontrivial dependencies
Wed Jan 30 20:09:36 2013  BLanczosTime: 490
Wed Jan 30 20:09:36 2013  
Wed Jan 30 20:09:36 2013  commencing square root phase
Wed Jan 30 20:09:36 2013  reading relations for dependency 1
Wed Jan 30 20:09:36 2013  read 192822 cycles
Wed Jan 30 20:09:36 2013  cycles contain 660900 unique relations
Wed Jan 30 20:09:45 2013  read 660900 relations
Wed Jan 30 20:09:47 2013  multiplying 660900 relations
Wed Jan 30 20:10:14 2013  multiply complete, coefficients have about 29.33 million bits
Wed Jan 30 20:10:14 2013  initial square root is modulo 265448089
Wed Jan 30 20:10:52 2013  GCD is N, no factor found
Wed Jan 30 20:10:52 2013  reading relations for dependency 2
Wed Jan 30 20:10:52 2013  read 193024 cycles
Wed Jan 30 20:10:52 2013  cycles contain 661060 unique relations
Wed Jan 30 20:11:01 2013  read 661060 relations
Wed Jan 30 20:11:04 2013  multiplying 661060 relations
Wed Jan 30 20:11:30 2013  multiply complete, coefficients have about 29.34 million bits
Wed Jan 30 20:11:30 2013  initial square root is modulo 266714489
Wed Jan 30 20:12:09 2013  sqrtTime: 153

prp43 = 2635262842484547573610605269933995884371107
prp65 = 69034576113832082346366311360077117299297296701865089761894661187
NFS elapsed time = 3743.0747 seconds.




prp56 = 11241790487317795150126681467995634113645965157308743463
C108 = 181924253279452985186057297261047074243357502526773766688034673515482075331048075542791195759499996337124009
NFS elapsed time = 80417.5373 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 23, 2011 19:48:46 UTC 2011 年 5 月 24 日 (火) 4 時 48 分 46 秒 (日本時間)
403e61110110Ignacio SantosMay 23, 2011 19:48:46 UTC 2011 年 5 月 24 日 (火) 4 時 48 分 46 秒 (日本時間)
1000Dmitry DomanovJanuary 8, 2013 19:42:13 UTC 2013 年 1 月 9 日 (水) 4 時 42 分 13 秒 (日本時間)
4511e61032 / 421432Ignacio SantosMay 23, 2011 19:48:46 UTC 2011 年 5 月 24 日 (火) 4 時 48 分 46 秒 (日本時間)
1000Dmitry DomanovJanuary 8, 2013 19:42:13 UTC 2013 年 1 月 9 日 (水) 4 時 42 分 13 秒 (日本時間)

22×10188+173

c136

name 名前Robert Backstrom
date 日付May 18, 2012 07:05:16 UTC 2012 年 5 月 18 日 (金) 16 時 5 分 16 秒 (日本時間)
composite number 合成数
4341631904086883047961031778008331440535092779554635034974112852247080656446644283603738457854181504856289893428521418743553759960985351<136>
prime factors 素因数
17282311016402250498135896458482631086352456964635459<53>
251218248529744569801642932469224524390477944253520513296532310676997484674667300589<84>
factorization results 素因数分解の結果
Number: n
N=4341631904086883047961031778008331440535092779554635034974112852247080656446644283603738457854181504856289893428521418743553759960985351
  ( 136 digits)
Divisors found:

Fri May 18 12:09:43 2012  prp53 factor: 17282311016402250498135896458482631086352456964635459
Fri May 18 12:09:43 2012  prp84 factor: 251218248529744569801642932469224524390477944253520513296532310676997484674667300589
Fri May 18 12:09:43 2012  elapsed time 04:36:01 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.087).
Factorization parameters were as follows:
name: KA_73339_188
n: 4341631904086883047961031778008331440535092779554635034974112852247080656446644283603738457854181504856289893428521418743553759960985351
skew: 217448.71
# norm 6.05e+18
c5: 344520
c4: -522549088098
c3: -32148341945461983
c2: 18198336895621720369790
c1: -397484185144027007608877216
c0: -83340097276123130932144059281280
# alpha -6.48
Y1: 389190101771707
Y0: -104734123332697334780582411
# Murphy_E 3.58e-11
# M 2687209927442647769129151389713480104133402746982422073734292365529277560170871894151212872206393293534921825003792014939302809630068408
type: gnfs
rlim: 20000000
alim: 20000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 16660000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2399742 hash collisions in 25939827 relations (24557791 unique)
Msieve: matrix is 1608925 x 1609149 (465.0 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,135,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,20000000,20000000,28,28,56,56,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.55 BogoMIPS (lpj=2830779)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830450)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462)
Total of 4 processors activated (22644.29 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 23, 2011 20:55:43 UTC 2011 年 5 月 24 日 (火) 5 時 55 分 43 秒 (日本時間)
403e6110 / 2117Ignacio SantosMay 23, 2011 20:55:43 UTC 2011 年 5 月 24 日 (火) 5 時 55 分 43 秒 (日本時間)
4511e632 / 4435Ignacio SantosMay 23, 2011 20:55:43 UTC 2011 年 5 月 24 日 (火) 5 時 55 分 43 秒 (日本時間)

22×10189+173

c181

name 名前Robert Backstrom
date 日付January 27, 2012 18:17:56 UTC 2012 年 1 月 28 日 (土) 3 時 17 分 56 秒 (日本時間)
composite number 合成数
2387346189344267950975489636138830055084183798799803004396244943482624461401908391566379551533118276131763909701632801433372809155176778832966309620932773913141947326836617546833259<181>
prime factors 素因数
13346642788517851539758269949343394947242174908803258680929635494107899437543<77>
178872412124351416854344481513781742298576540064720190545442423946416862912581249954001195808593525096413<105>
factorization results 素因数分解の結果
Number: n
N=2387346189344267950975489636138830055084183798799803004396244943482624461401908391566379551533118276131763909701632801433372809155176778832966309620932773913141947326836617546833259
  ( 181 digits)
SNFS difficulty: 190 digits.
Divisors found:

Sat Jan 28 04:23:14 2012  prp77 factor: 13346642788517851539758269949343394947242174908803258680929635494107899437543
Sat Jan 28 04:23:14 2012  prp105 factor: 178872412124351416854344481513781742298576540064720190545442423946416862912581249954001195808593525096413
Sat Jan 28 04:23:14 2012  elapsed time 04:15:04 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.662).
Factorization parameters were as follows:
name: KA_73339_189
n: 2387346189344267950975489636138830055084183798799803004396244943482624461401908391566379551533118276131763909701632801433372809155176778832966309620932773913141947326836617546833259
m: 20000000000000000000000000000000000000
deg: 5
c5: 6875
c0: 17
skew: 0.30
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 8070780 hash collisions in 76000060 relations
Msieve: matrix is 1380354 x 1380582 (387.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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
351e6450150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 23, 2011 22:20:04 UTC 2011 年 5 月 24 日 (火) 7 時 20 分 4 秒 (日本時間)
403e6110 / 2117Ignacio SantosMay 23, 2011 22:20:04 UTC 2011 年 5 月 24 日 (火) 7 時 20 分 4 秒 (日本時間)
4511e632 / 4435Ignacio SantosMay 23, 2011 22:20:04 UTC 2011 年 5 月 24 日 (火) 7 時 20 分 4 秒 (日本時間)

22×10192+173

c189

name 名前Wataru Sakai
date 日付November 10, 2009 07:09:11 UTC 2009 年 11 月 10 日 (火) 16 時 9 分 11 秒 (日本時間)
composite number 合成数
631693800786745915525310822063341660206161885893128894248715077382490596376374651850575702759353375254831021908289545467596979355098056105894851695523588020788468716800183765469319780629971<189>
prime factors 素因数
1065586090211622938492027332760513<34>
composite cofactor 合成数の残り
592813482260539816573285099951893028539801844453071033975475976700379685000061841730286610971791510396786665189169314447668289344543691705287196946935621267<156>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=485063552
Step 1 took 69609ms
Step 2 took 21858ms
********** Factor found in step 2: 1065586090211622938492027332760513
Found probable prime factor of 34 digits: 1065586090211622938492027332760513
Composite cofactor 592813482260539816573285099951893028539801844453071033975475976700379685000061841730286610971791510396786665189169314447668289344543691705287196946935621267 has 156 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
403e61855855Wataru SakaiNovember 10, 2009 07:08:54 UTC 2009 年 11 月 10 日 (火) 16 時 8 分 54 秒 (日本時間)
1000Dmitry DomanovJanuary 8, 2013 19:43:18 UTC 2013 年 1 月 9 日 (水) 4 時 43 分 18 秒 (日本時間)
4511e61000 / 4063Dmitry DomanovJanuary 8, 2013 19:43:18 UTC 2013 年 1 月 9 日 (水) 4 時 43 分 18 秒 (日本時間)

22×10193+173

c162

composite cofactor 合成数の残り
780874085536416701904707461852146712939630438489365035285457104961988408124921665855126915821324093843915016995056920261497211422575379943152413441542126174389829<162>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 23, 2011 23:51:23 UTC 2011 年 5 月 24 日 (火) 8 時 51 分 23 秒 (日本時間)
403e61110110Ignacio SantosMay 23, 2011 23:51:23 UTC 2011 年 5 月 24 日 (火) 8 時 51 分 23 秒 (日本時間)
1000Dmitry DomanovJanuary 8, 2013 19:43:43 UTC 2013 年 1 月 9 日 (水) 4 時 43 分 43 秒 (日本時間)
4511e61032 / 421432Ignacio SantosMay 23, 2011 23:51:23 UTC 2011 年 5 月 24 日 (火) 8 時 51 分 23 秒 (日本時間)
1000Dmitry DomanovJanuary 8, 2013 19:43:43 UTC 2013 年 1 月 9 日 (水) 4 時 43 分 43 秒 (日本時間)

22×10194+173

c190

name 名前Robert Backstrom
date 日付February 15, 2010 23:11:52 UTC 2010 年 2 月 16 日 (火) 8 時 11 分 52 秒 (日本時間)
composite number 合成数
5472677656798433819157854411848844643119227257914860061144734910957046943136391565111182421759366363430572864971629141511006301042047577469483603111466005965218645910292862882061308915240661<190>
prime factors 素因数
698662878275968422564587059838568876727<39>
99028103368949255251369399653188788784887<41>
79099500083663467143376587995297596550667156281648140398087962196669035371870809388244642212614854286226985989<110>
factorization results 素因数分解の結果
Number: n
N=5472677656798433819157854411848844643119227257914860061144734910957046943136391565111182421759366363430572864971629141511006301042047577469483603111466005965218645910292862882061308915240661
  ( 190 digits)
SNFS difficulty: 195 digits.
Divisors found:

Tue Feb 16 08:30:39 2010  prp39 factor: 698662878275968422564587059838568876727
Tue Feb 16 08:30:39 2010  prp41 factor: 99028103368949255251369399653188788784887
Tue Feb 16 08:30:39 2010  prp110 factor: 79099500083663467143376587995297596550667156281648140398087962196669035371870809388244642212614854286226985989
Tue Feb 16 08:30:39 2010  elapsed time 09:57:20 (Msieve 1.42 - dependency 2)

Version: 
Total time: 21.73 hours.
Scaled time: 18.23 units (timescale=0.839).
Factorization parameters were as follows:
name: KA_7_3_193_9
n: 5472677656798433819157854411848844643119227257914860061144734910957046943136391565111182421759366363430572864971629141511006301042047577469483603111466005965218645910292862882061308915240661
m: 200000000000000000000000000000000000000
deg: 5
c5: 6875
c0: 17
skew: 0.30
type: snfs
lss: 1
rlim: 12600000
alim: 12600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 12600000/12600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 12808373)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3881768 hash collisions in 28260253 relations
Msieve: matrix is 1912269 x 1912496 (512.4 MB)

Total sieving time: 21.73 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12600000,12600000,28,28,56,56,2.5,2.5,100000
total time: 21.73 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
351e6150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiNovember 4, 2009 12:26:04 UTC 2009 年 11 月 4 日 (水) 21 時 26 分 4 秒 (日本時間)
4511e60 / 3735--
5043e665 / 7465yoyo@homeFebruary 23, 2010 22:15:12 UTC 2010 年 2 月 24 日 (水) 7 時 15 分 12 秒 (日本時間)

22×10195+173

c183

composite cofactor 合成数の残り
758111199157335096181843617441895113888746052825033352420026594825821830894437005321948595860939107642244565114727226343529631626617569274789064439859922007942877451240010654764188461<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 24, 2011 06:10:22 UTC 2011 年 5 月 24 日 (火) 15 時 10 分 22 秒 (日本時間)
403e61110110Ignacio SantosMay 24, 2011 06:10:22 UTC 2011 年 5 月 24 日 (火) 15 時 10 分 22 秒 (日本時間)
1000Dmitry DomanovJanuary 8, 2013 19:44:02 UTC 2013 年 1 月 9 日 (水) 4 時 44 分 2 秒 (日本時間)
4511e61032 / 421432Ignacio SantosMay 24, 2011 06:10:22 UTC 2011 年 5 月 24 日 (火) 15 時 10 分 22 秒 (日本時間)
1000Dmitry DomanovJanuary 8, 2013 19:44:02 UTC 2013 年 1 月 9 日 (水) 4 時 44 分 2 秒 (日本時間)

22×10196+173

c172

name 名前Dmitry Domanov
date 日付January 3, 2013 18:07:33 UTC 2013 年 1 月 4 日 (金) 3 時 7 分 33 秒 (日本時間)
composite number 合成数
7478490105457759740621396899737559989789720228187626399328096029876808567734241861707140649469803316799889153725060985391312688879492326431520698579433906150929383784493279<172>
prime factors 素因数
155913049638188858556097033647293689<36>
3619698883509308828402503809215275699<37>
5181626735463792581618145509849037813148181<43>
2557366008034740098883653507775598822690640907272795708569<58>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1757738552
Step 1 took 19411ms
Step 2 took 8299ms
********** Factor found in step 2: 155913049638188858556097033647293689
Found probable prime factor of 36 digits: 155913049638188858556097033647293689

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3483228250
Step 1 took 16507ms
Step 2 took 7028ms
********** Factor found in step 2: 3619698883509308828402503809215275699
Found probable prime factor of 37 digits: 3619698883509308828402503809215275699

prp58 = 2557366008034740098883653507775598822690640907272795708569
prp43 = 5181626735463792581618145509849037813148181
NFS elapsed time = 4611.5183 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 24, 2011 06:10:48 UTC 2011 年 5 月 24 日 (火) 15 時 10 分 48 秒 (日本時間)
403e6110 / 2117Ignacio SantosMay 24, 2011 06:10:48 UTC 2011 年 5 月 24 日 (火) 15 時 10 分 48 秒 (日本時間)
4511e632 / 4435Ignacio SantosMay 24, 2011 06:10:48 UTC 2011 年 5 月 24 日 (火) 15 時 10 分 48 秒 (日本時間)

22×10197+173

c185

name 名前Serge Batalov
date 日付October 30, 2009 08:38:50 UTC 2009 年 10 月 30 日 (金) 17 時 38 分 50 秒 (日本時間)
composite number 合成数
13948763415378938886047005545454047811983742030833991711811883715053150438313304797728911182333533785561890099157737354700393251565749508226587621106191141436567067826847866815458412483<185>
prime factors 素因数
85768965380696892224398060458083<32>
composite cofactor 合成数の残り
162631825549783751295866446947190481527542400941976286560382655837239566893610989918569146348381161296601343514990401403459613148506298287882369753536801<153>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4294209017
Step 1 took 4064ms
Step 2 took 2681ms
********** Factor found in step 2: 85768965380696892224398060458083
Found probable prime factor of 32 digits: 85768965380696892224398060458083
Composite cofactor has 153 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 24, 2011 06:11:11 UTC 2011 年 5 月 24 日 (火) 15 時 11 分 11 秒 (日本時間)
403e61110110Ignacio SantosMay 24, 2011 06:11:11 UTC 2011 年 5 月 24 日 (火) 15 時 11 分 11 秒 (日本時間)
1000Dmitry DomanovJanuary 8, 2013 19:44:26 UTC 2013 年 1 月 9 日 (水) 4 時 44 分 26 秒 (日本時間)
4511e61032 / 421432Ignacio SantosMay 24, 2011 06:11:11 UTC 2011 年 5 月 24 日 (火) 15 時 11 分 11 秒 (日本時間)
1000Dmitry DomanovJanuary 8, 2013 19:44:26 UTC 2013 年 1 月 9 日 (水) 4 時 44 分 26 秒 (日本時間)

22×10200+173

c165

name 名前Ignacio Santos
date 日付May 24, 2011 06:08:57 UTC 2011 年 5 月 24 日 (火) 15 時 8 分 57 秒 (日本時間)
composite number 合成数
700486248718134644344182794349475610215031888670323191019591147802187434045939116439366658824518724137313059966170316342565826143175736368706248071179820516581477039<165>
prime factors 素因数
7673852821777422677318721329<28>
91282210512331349787834955850770487185319247713091396415403193792222950757274658745309440131210285866884731982109022737620692597004160991<137>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=694260925
Step 1 took 8221ms
Step 2 took 6131ms
********** Factor found in step 2: 7673852821777422677318721329
Found probable prime factor of 28 digits: 7673852821777422677318721329
Probable prime cofactor 91282210512331349787834955850770487185319247713091396415403193792222950757274658745309440131210285866884731982109022737620692597004160991 has 137 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 28, 2009 16:00:00 UTC 2009 年 10 月 29 日 (木) 1 時 0 分 0 秒 (日本時間)

22×10202+173

c176

name 名前Dmitry Domanov
date 日付January 6, 2013 13:10:15 UTC 2013 年 1 月 6 日 (日) 22 時 10 分 15 秒 (日本時間)
composite number 合成数
70087352674321156325835077954872111654214606453369045437099350029099945188139856682708521508093727884476754126527898348538387788338506610012597124738851201950989910012597294609<176>
prime factors 素因数
4127223743457024281322858616262893394543<40>
16981718712350433998677493271862443449672407504534199927994342956695236069899461609053459905680091448035713021479288873907082522294228863<137>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3555206414
Step 1 took 114553ms
Step 2 took 35745ms
********** Factor found in step 2: 4127223743457024281322858616262893394543
Found probable prime factor of 40 digits: 4127223743457024281322858616262893394543

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:32:41 UTC 2012 年 12 月 29 日 (土) 16 時 32 分 41 秒 (日本時間)

22×10203+173

c184

composite cofactor 合成数の残り
8193666732522891247583061733763843236181195524028529406670744645456130373172162264512952194569338424115936879155968907918679316835210005300626705733207186176500640459808978492597557763<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:33:04 UTC 2012 年 12 月 29 日 (土) 16 時 33 分 4 秒 (日本時間)
403e61000Dmitry DomanovJanuary 8, 2013 19:46:03 UTC 2013 年 1 月 9 日 (水) 4 時 46 分 3 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 8, 2013 19:46:03 UTC 2013 年 1 月 9 日 (水) 4 時 46 分 3 秒 (日本時間)

22×10205+173

c196

name 名前Warut Roonguthai
date 日付December 28, 2012 04:02:32 UTC 2012 年 12 月 28 日 (金) 13 時 2 分 32 秒 (日本時間)
composite number 合成数
3110053481575680295519100352411459387103168109179299190431928968515031006877604967127836153458772772409588232756138545856541010262201671209158547094221569307810354690652609549393342360480984618321<196>
prime factors 素因数
33071208367740947374810902566478413<35>
composite cofactor 合成数の残り
94041120209243933804391446396207360509333526941947100847047819569171502585918557711232381782907371708801132396279259123522635158836159644874286631313863905188117<161>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=806367422
Step 1 took 12028ms
Step 2 took 7004ms
********** Factor found in step 2: 33071208367740947374810902566478413
Found probable prime factor of 35 digits: 33071208367740947374810902566478413
Composite cofactor 94041120209243933804391446396207360509333526941947100847047819569171502585918557711232381782907371708801132396279259123522635158836159644874286631313863905188117 has 161 digits
software ソフトウェア
GMP-ECM 6.3

c161

name 名前Dmitry Domanov
date 日付December 29, 2012 12:23:11 UTC 2012 年 12 月 29 日 (土) 21 時 23 分 11 秒 (日本時間)
composite number 合成数
94041120209243933804391446396207360509333526941947100847047819569171502585918557711232381782907371708801132396279259123522635158836159644874286631313863905188117<161>
prime factors 素因数
1088724066422264385083452590479326477<37>
86377368802252459147882664636581054178821649477995629830927749588696563131474750972027888608616154174915337361568421498657321<125>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2924816244
Step 1 took 19404ms
Step 2 took 7948ms
********** Factor found in step 2: 1088724066422264385083452590479326477
Found probable prime factor of 37 digits: 1088724066422264385083452590479326477

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:33:16 UTC 2012 年 12 月 29 日 (土) 16 時 33 分 16 秒 (日本時間)

22×10206+173

c206

name 名前Robert Backstrom
date 日付November 20, 2013 12:06:09 UTC 2013 年 11 月 20 日 (水) 21 時 6 分 9 秒 (日本時間)
composite number 合成数
17054263565891472868217054263565891472868217054263565891472868217054263565891472868217054263565891472868217054263565891472868217054263565891472868217054263565891472868217054263565891472868217054263565891473<206>
prime factors 素因数
151729753005057977415358359379866134001845751789511356061769916329455574307997336987225438347863399<99>
112398941065454456798580502332655558240386260364613595686857044138327851160796487294296939567944831481440327<108>
factorization results 素因数分解の結果
Number: n
N=17054263565891472868217054263565891472868217054263565891472868217054263565891472868217054263565891472868217054263565891472868217054263565891472868217054263565891472868217054263565891472868217054263565891473
  ( 206 digits)
SNFS difficulty: 207 digits.
Divisors found:

Wed Nov 20 22:43:51 2013  prp99 factor: 151729753005057977415358359379866134001845751789511356061769916329455574307997336987225438347863399
Wed Nov 20 22:43:51 2013  prp108 factor: 112398941065454456798580502332655558240386260364613595686857044138327851160796487294296939567944831481440327
Wed Nov 20 22:43:51 2013  elapsed time 17:41:17 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.711).
Factorization parameters were as follows:
#
#  22*10^206+17 - 73(205)9
#
#  c206, diff: 207.34
#
skew: 0.599
n: 17054263565891472868217054263565891472868217054263565891472868217054263565891472868217054263565891472868217054263565891472868217054263565891472868217054263565891472868217054263565891472868217054263565891473
m: 100000000000000000000000000000000000000000
deg: 5
c5: 220
c0: 17
# Murphy_E = 6.852e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 24000000)
Primes: RFBsize:1270607, AFBsize:1270791,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 7451958 hash collisions in 49324038 relations (43433512 unique)
Msieve: matrix is 3107178 x 3107404 (883.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 15hrs 16min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 1hrs 57min 24sec.

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:33:24 UTC 2012 年 12 月 29 日 (土) 16 時 33 分 24 秒 (日本時間)
403e61000Dmitry DomanovJanuary 8, 2013 19:46:17 UTC 2013 年 1 月 9 日 (水) 4 時 46 分 17 秒 (日本時間)
4511e61850 / 41941000Dmitry DomanovJanuary 8, 2013 19:46:17 UTC 2013 年 1 月 9 日 (水) 4 時 46 分 17 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:13:45 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 45 秒 (日本時間)

22×10207+173

c198

composite cofactor 合成数の残り
160702804265520277820031798296458859725745906013626275787401502177733222632134289044863667150611773727196894862005089528564150941554442723635139683882992341187762709971646427245375633593668529972811<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:33:44 UTC 2012 年 12 月 29 日 (土) 16 時 33 分 44 秒 (日本時間)
403e61000Dmitry DomanovJanuary 8, 2013 19:46:36 UTC 2013 年 1 月 9 日 (水) 4 時 46 分 36 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 8, 2013 19:46:36 UTC 2013 年 1 月 9 日 (水) 4 時 46 分 36 秒 (日本時間)

22×10208+173

c160

composite cofactor 合成数の残り
7490334375919721462698952542724836671182474253998826194370582114454605446366704704483683931308690476572320328056478931663039257529306802952386754349614887040563<160>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 02:38:49 UTC 2012 年 12 月 29 日 (土) 11 時 38 分 49 秒 (日本時間)
403e62000Warut RoonguthaiDecember 29, 2012 02:38:49 UTC 2012 年 12 月 29 日 (土) 11 時 38 分 49 秒 (日本時間)
4511e61000 / 3973Dmitry DomanovJanuary 8, 2013 19:47:02 UTC 2013 年 1 月 9 日 (水) 4 時 47 分 2 秒 (日本時間)

22×10209+173

c180

name 名前Dmitry Domanov
date 日付January 14, 2013 06:30:08 UTC 2013 年 1 月 14 日 (月) 15 時 30 分 8 秒 (日本時間)
composite number 合成数
117988135995767097827639662735646600797795744173246250265643075907107863335349841358195000129817647480496571173394606566160924068599180521612156528703651594438980877427212883893721<180>
prime factors 素因数
23631172791983615579494552581690182373675510583<47>
4992902258147429809448949003470983097428269919748587573688006776265474947957359936957574676116760981164609193972733794415833540831087<133>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2828734467
Step 1 took 118364ms
Step 2 took 37448ms
********** Factor found in step 2: 23631172791983615579494552581690182373675510583
Found probable prime factor of 47 digits: 23631172791983615579494552581690182373675510583

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:34:02 UTC 2012 年 12 月 29 日 (土) 16 時 34 分 2 秒 (日本時間)
403e61000Dmitry DomanovJanuary 8, 2013 19:47:17 UTC 2013 年 1 月 9 日 (水) 4 時 47 分 17 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 8, 2013 19:47:17 UTC 2013 年 1 月 9 日 (水) 4 時 47 分 17 秒 (日本時間)

22×10210+173

c200

composite cofactor 合成数の残り
46370880218008199922361735634941768831201635511691529863006398356787165894422454400275334564476818047195126673443082034335945052612078449351097714473210238952542367139204821472245920769645678646501269<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:34:16 UTC 2012 年 12 月 29 日 (土) 16 時 34 分 16 秒 (日本時間)
403e61000Dmitry DomanovJanuary 8, 2013 19:47:33 UTC 2013 年 1 月 9 日 (水) 4 時 47 分 33 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 8, 2013 19:47:33 UTC 2013 年 1 月 9 日 (水) 4 時 47 分 33 秒 (日本時間)

22×10211+173

c174

name 名前Warut Roonguthai
date 日付December 28, 2012 05:19:08 UTC 2012 年 12 月 28 日 (金) 14 時 19 分 8 秒 (日本時間)
composite number 合成数
116310712869349375792110280125817525675688015719527005301383564558670190261211261381545393503656971034285455846447793771417824047068538575083834276456084389345894667364760571<174>
prime factors 素因数
2736186262085543285536455532686517<34>
composite cofactor 合成数の残り
42508331571220012742990330503087056282739036636151611583280903488404742330417396488408674017585899980164304820967493516054382151073130030063<140>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1952896184
Step 1 took 7972ms
Step 2 took 5647ms
********** Factor found in step 2: 2736186262085543285536455532686517
Found probable prime factor of 34 digits: 2736186262085543285536455532686517
Composite cofactor 42508331571220012742990330503087056282739036636151611583280903488404742330417396488408674017585899980164304820967493516054382151073130030063has 140 digits
software ソフトウェア
GMP-ECM 6.3

c140

name 名前Dmitry Domanov
date 日付January 14, 2013 06:28:39 UTC 2013 年 1 月 14 日 (月) 15 時 28 分 39 秒 (日本時間)
composite number 合成数
42508331571220012742990330503087056282739036636151611583280903488404742330417396488408674017585899980164304820967493516054382151073130030063<140>
prime factors 素因数
875046394121554134170718935580975563312729<42>
48578374651658881612152709553967101962562834702882734987332897540207317749655805820410909471034247<98>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2878166740
Step 1 took 80089ms
Step 2 took 28524ms
********** Factor found in step 2: 875046394121554134170718935580975563312729
Found probable prime factor of 42 digits: 875046394121554134170718935580975563312729

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 00:23:29 UTC 2012 年 12 月 29 日 (土) 9 時 23 分 29 秒 (日本時間)
403e62000Warut RoonguthaiDecember 29, 2012 00:23:29 UTC 2012 年 12 月 29 日 (土) 9 時 23 分 29 秒 (日本時間)
4511e61000 / 3973Dmitry DomanovJanuary 8, 2013 19:48:12 UTC 2013 年 1 月 9 日 (水) 4 時 48 分 12 秒 (日本時間)

22×10212+173

c213

name 名前Dmitry Domanov
date 日付December 31, 2012 00:29:31 UTC 2012 年 12 月 31 日 (月) 9 時 29 分 31 秒 (日本時間)
composite number 合成数
733333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333339<213>
prime factors 素因数
6177472176793537364413449772747364177941<40>
118710908336939758642874304280562042910398438785705210295781097550324323546151246992306812604954082675914414853890184640144215126697021961882495290469936137470596118441436079<174>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3990204771
Step 1 took 30979ms
Step 2 took 11149ms
********** Factor found in step 2: 6177472176793537364413449772747364177941
Found probable prime factor of 40 digits: 6177472176793537364413449772747364177941

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:34:46 UTC 2012 年 12 月 29 日 (土) 16 時 34 分 46 秒 (日本時間)

22×10214+173

c196

composite cofactor 合成数の残り
4961500756598925192087217728588385458005555595114127162745380674280276592976924486820579719796605487291972536666301932758951962858868467448904187934381775832521452961607698271626453413793763178741<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:34:55 UTC 2012 年 12 月 29 日 (土) 16 時 34 分 55 秒 (日本時間)
403e61000Dmitry DomanovJanuary 8, 2013 20:19:15 UTC 2013 年 1 月 9 日 (水) 5 時 19 分 15 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 8, 2013 20:19:15 UTC 2013 年 1 月 9 日 (水) 5 時 19 分 15 秒 (日本時間)

22×10215+173

c202

composite cofactor 合成数の残り
1190822779168367944209347373702006186033020304558836546719701835064065274484738284032642691067183444843636942314690630534130123453072261761616968389778569414922453534501067121054285025511811958217088489<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:35:07 UTC 2012 年 12 月 29 日 (土) 16 時 35 分 7 秒 (日本時間)
403e61000Dmitry DomanovJanuary 8, 2013 20:19:29 UTC 2013 年 1 月 9 日 (水) 5 時 19 分 29 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 8, 2013 20:19:29 UTC 2013 年 1 月 9 日 (水) 5 時 19 分 29 秒 (日本時間)

22×10216+173

c216

name 名前Bob Backstrom
date 日付November 17, 2017 16:05:50 UTC 2017 年 11 月 18 日 (土) 1 時 5 分 50 秒 (日本時間)
composite number 合成数
564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564103<216>
prime factors 素因数
10034510250681954811224921856251763238719026391<47>
10805300146819095164962897688882011919033398426440817<53>
5202655358856765986564229683830167797435506620672915368928125124074034183744347922245563606836625406434699129523175649<118>
factorization results 素因数分解の結果
Number: n
N=564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564103
  ( 216 digits)
SNFS difficulty: 217 digits.
Divisors found:

Sat Nov 18 02:35:19 2017  found factor: 10805300146819095164962897688882011919033398426440817
Sat Nov 18 02:45:26 2017  p47 factor: 10034510250681954811224921856251763238719026391
Sat Nov 18 02:45:26 2017  p53 factor: 10805300146819095164962897688882011919033398426440817
Sat Nov 18 02:45:26 2017  p118 factor: 5202655358856765986564229683830167797435506620672915368928125124074034183744347922245563606836625406434699129523175649
Sat Nov 18 02:45:26 2017  elapsed time 04:42:18 (Msieve 1.53 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.116).
Factorization parameters were as follows:
#
# 22x10^216+17 73(215)9
#
n: 564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564103
m: 1000000000000000000000000000000000000
deg: 6
c6: 22
c0: 17
skew: 0.96
# Murphy_E = 4.468e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 29000000/29000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 45700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 11800400 hash collisions in 73786428 relations (63663764 unique)
Msieve: matrix is 3283821 x 3284047 (943.3 MB)

Sieving start time: 2017/11/16 09:35:12
Sieving end time  : 2017/11/17 22:00:53

Total sieving time: 36hrs 25min 41secs.

Total relation processing time: 4hrs 0min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 20min 14sec.

Prototype def-par.txt line would be:
snfs,217,6,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.068000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16297376K/16703460K available (9281K kernel code, 2477K rwdata, 3992K rodata, 2324K init, 2384K bss, 406084K reserved, 0K cma-reserved)
[    0.100624] x86/mm: Memory block size: 128MB
[    0.008000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.60 BogoMIPS (lpj=11977204)
[    0.098232] smpboot: Total of 16 processors activated (95817.63 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:35:17 UTC 2012 年 12 月 29 日 (土) 16 時 35 分 17 秒 (日本時間)
403e61000Dmitry DomanovJanuary 8, 2013 20:19:44 UTC 2013 年 1 月 9 日 (水) 5 時 19 分 44 秒 (日本時間)
4511e649501000Dmitry DomanovJanuary 8, 2013 20:19:44 UTC 2013 年 1 月 9 日 (水) 5 時 19 分 44 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:35 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 35 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:49 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 49 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:19 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 19 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:31 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 31 秒 (日本時間)

22×10217+173

c190

name 名前Dmitry Domanov
date 日付January 5, 2013 15:59:37 UTC 2013 年 1 月 6 日 (日) 0 時 59 分 37 秒 (日本時間)
composite number 合成数
7535341930885296195045091642061132604409399049517988822206225704383033249184715120365408381600422796890388659906927149145951515590265163635823459532081279134655647041010599895894073068339031<190>
prime factors 素因数
467470847319283176726016790469323063<36>
16119383645197982106338450636961080836691275815538863574803836766574323864550564068481417557193938323375830937218533437984041802432656530686200079096883937<155>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4053410932
Step 1 took 117813ms
Step 2 took 38582ms
********** Factor found in step 2: 467470847319283176726016790469323063
Found probable prime factor of 36 digits: 467470847319283176726016790469323063

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:35:25 UTC 2012 年 12 月 29 日 (土) 16 時 35 分 25 秒 (日本時間)

22×10218+173

c206

composite cofactor 合成数の残り
19610119909938510682673010587565603608269308826040283107775991468338149537545761599762415250277474788166938002419943023021743142783589814709698710429669247160228533670883042456433982573699061121653069275719<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:35:50 UTC 2012 年 12 月 29 日 (土) 16 時 35 分 50 秒 (日本時間)
403e61000Dmitry DomanovJanuary 8, 2013 20:20:00 UTC 2013 年 1 月 9 日 (水) 5 時 20 分 0 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 8, 2013 20:20:00 UTC 2013 年 1 月 9 日 (水) 5 時 20 分 0 秒 (日本時間)

22×10219+173

c207

composite cofactor 合成数の残り
758287440907198100828896869803870722452936390682885706624063032110370477990516788567101742007223179897926126839663453369338960417053037151005324223620847214582368430342095539086593583288967108641518684555641<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:35:57 UTC 2012 年 12 月 29 日 (土) 16 時 35 分 57 秒 (日本時間)
403e61000Dmitry DomanovJanuary 8, 2013 20:20:12 UTC 2013 年 1 月 9 日 (水) 5 時 20 分 12 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 8, 2013 20:20:12 UTC 2013 年 1 月 9 日 (水) 5 時 20 分 12 秒 (日本時間)

22×10222+173

c215

composite cofactor 合成数の残り
96675360286327105801044103558628361375361856422843542165690045585552352539743669061328523962664485600229254191649172710931035968195230230195326281560105306009132543373477293315429232381687892115535967252645467403637<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:36:05 UTC 2012 年 12 月 29 日 (土) 16 時 36 分 5 秒 (日本時間)
403e61000Dmitry DomanovJanuary 8, 2013 20:20:25 UTC 2013 年 1 月 9 日 (水) 5 時 20 分 25 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 8, 2013 20:20:25 UTC 2013 年 1 月 9 日 (水) 5 時 20 分 25 秒 (日本時間)

22×10224+173

c161

composite cofactor 合成数の残り
49493720658240060811313625033780912306030310378796513675414106242052038407559276651801496059060908921002293275011512186411553058725008780314218600108880307868197<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:23:24 UTC 2012 年 12 月 29 日 (土) 16 時 23 分 24 秒 (日本時間)
403e62200Warut RoonguthaiDecember 29, 2012 07:23:24 UTC 2012 年 12 月 29 日 (土) 16 時 23 分 24 秒 (日本時間)
4511e61000 / 3929Dmitry DomanovJanuary 8, 2013 20:20:44 UTC 2013 年 1 月 9 日 (水) 5 時 20 分 44 秒 (日本時間)

22×10225+173

c200

composite cofactor 合成数の残り
11395489645878517015576818595952022145187460748073042326365589611561877170435801679306356676731116696427017646758054246377179402491561638478931656888032065707287677915922427255225603115969104192325733<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:36:33 UTC 2012 年 12 月 29 日 (土) 16 時 36 分 33 秒 (日本時間)
403e61000Dmitry DomanovJanuary 8, 2013 20:20:58 UTC 2013 年 1 月 9 日 (水) 5 時 20 分 58 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 8, 2013 20:20:58 UTC 2013 年 1 月 9 日 (水) 5 時 20 分 58 秒 (日本時間)

22×10227+173

c222

composite cofactor 合成数の残り
180489406871609106543799323345213638337459567296336778794069872864082206033416301032046632555809580722287430857174548269881872144421716452618536212861330562985019133107737982871719369163269979090302213924085006900848390457<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:36:41 UTC 2012 年 12 月 29 日 (土) 16 時 36 分 41 秒 (日本時間)
403e61000Dmitry DomanovJanuary 8, 2013 20:21:13 UTC 2013 年 1 月 9 日 (水) 5 時 21 分 13 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 8, 2013 20:21:13 UTC 2013 年 1 月 9 日 (水) 5 時 21 分 13 秒 (日本時間)

22×10228+173

c225

composite cofactor 合成数の残り
724136796023830683650966064316513610480234356999440439748527039926269708041209966755538000724136796023830683650966064316513610480234356999440439748527039926269708041209966755538000724136796023830683650966064316513610480234357<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:36:48 UTC 2012 年 12 月 29 日 (土) 16 時 36 分 48 秒 (日本時間)
403e61000Dmitry DomanovJanuary 8, 2013 20:21:25 UTC 2013 年 1 月 9 日 (水) 5 時 21 分 25 秒 (日本時間)
4511e639501000Dmitry DomanovJanuary 8, 2013 20:21:25 UTC 2013 年 1 月 9 日 (水) 5 時 21 分 25 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:15:45 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 45 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:40 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 40 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:34 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 34 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:52 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 52 秒 (日本時間)
5043e670 / 6621KTakahashiSeptember 10, 2014 04:47:07 UTC 2014 年 9 月 10 日 (水) 13 時 47 分 7 秒 (日本時間)

22×10229+173

c183

composite cofactor 合成数の残り
200107361636823706663602240868728900710220498502286424338200728247824045984241699382602243112940988270849981245369672588736380677236546039038685468876601946908484445679810844802730321<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:37:14 UTC 2012 年 12 月 29 日 (土) 16 時 37 分 14 秒 (日本時間)
403e61000Dmitry DomanovJanuary 8, 2013 20:21:52 UTC 2013 年 1 月 9 日 (水) 5 時 21 分 52 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 8, 2013 20:21:52 UTC 2013 年 1 月 9 日 (水) 5 時 21 分 52 秒 (日本時間)

22×10230+173

c213

name 名前Warut Roonguthai
date 日付December 28, 2012 17:47:35 UTC 2012 年 12 月 29 日 (土) 2 時 47 分 35 秒 (日本時間)
composite number 合成数
186309800057288083174089346235968638515917849286170142290692262064118005891716678130468885835948562908072036910900003897332407653223390010266552669888369983807911965126643397518104380226832934595019473368990371911<213>
prime factors 素因数
849663355215520700703349603637<30>
composite cofactor 合成数の残り
219274844458873732467483999313175150723908968243059572958811653499294760387344893849388725720238564941940820570696681261916608553829171896673042057950158926432845274053643299062453003<183>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2523281956
Step 1 took 14649ms
Step 2 took 7878ms
********** Factor found in step 2: 849663355215520700703349603637
Found probable prime factor of 30 digits: 849663355215520700703349603637
Composite cofactor 219274844458873732467483999313175150723908968243059572958811653499294760387344893849388725720238564941940820570696681261916608553829171896673042057950158926432845274053643299062453003 has 183 digits
software ソフトウェア
GMP-ECM 6.3

c183

name 名前Dmitry Domanov
date 日付January 6, 2013 13:10:59 UTC 2013 年 1 月 6 日 (日) 22 時 10 分 59 秒 (日本時間)
composite number 合成数
219274844458873732467483999313175150723908968243059572958811653499294760387344893849388725720238564941940820570696681261916608553829171896673042057950158926432845274053643299062453003<183>
prime factors 素因数
47680145032799325854465625866539149488471<41>
composite cofactor 合成数の残り
4598871171806081091840391309814178108354456295438372682471565486109838262148382893375052279088065144220111606714557507720943908167798073661293<142>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4226037233
Step 1 took 117387ms
Step 2 took 37541ms
********** Factor found in step 2: 47680145032799325854465625866539149488471

c142

name 名前Erik Branger
date 日付March 20, 2017 16:20:11 UTC 2017 年 3 月 21 日 (火) 1 時 20 分 11 秒 (日本時間)
composite number 合成数
4598871171806081091840391309814178108354456295438372682471565486109838262148382893375052279088065144220111606714557507720943908167798073661293<142>
prime factors 素因数
16214365686584471679154688968238643805646337654371<50>
283629422248143795019706354525590813109045356451931572898189491396889723942182201493974553583<93>
factorization results 素因数分解の結果
Number: 73339_230
N = 4598871171806081091840391309814178108354456295438372682471565486109838262148382893375052279088065144220111606714557507720943908167798073661293 (142 digits)
Divisors found:
r1=16214365686584471679154688968238643805646337654371 (pp50)
r2=283629422248143795019706354525590813109045356451931572898189491396889723942182201493974553583 (pp93)
Version: Msieve v. 1.51 (SVN 845)
Total time: 437.73 hours.
Factorization parameters were as follows:
# Murphy_E = 1.69640499e-11, selected by Maksym Voznyy
# selected by CADO-NFS
n: 4598871171806081091840391309814178108354456295438372682471565486109838262148382893375052279088065144220111606714557507720943908167798073661293
Y0: -4384971808359283560077573199
Y1: 262892846445236344997
c0: 406138472067530747684768375448720
c1: -4269505820497807820073330706
c2: -19221161546029872128803
c3: 89383418483183858
c4: 88966009830
c5: 36900
skew: 456869.45388
type: gnfs
# selected mechanically
rlim: 20000000
alim: 20000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23025310
Relations: 4213212 relations
Pruned matrix : 2592211 x 2592436
Polynomial selection time: 0.00 hours.
Total sieving time: 430.11 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 6.99 hours.
time per square root: 0.41 hours.
Prototype def-par.txt line would be: gnfs,141,5,65,2000,1e-05,0.28,250,20,50000,3600,20000000,20000000,28,28,56,56,2.6,2.6,100000
total time: 437.73 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 8, 2013 16:08:56 UTC 2013 年 1 月 9 日 (水) 1 時 8 分 56 秒 (日本時間)
403e61110110Ignacio SantosJanuary 8, 2013 16:08:56 UTC 2013 年 1 月 9 日 (水) 1 時 8 分 56 秒 (日本時間)
1000Dmitry DomanovJanuary 8, 2013 20:22:06 UTC 2013 年 1 月 9 日 (水) 5 時 22 分 6 秒 (日本時間)
4511e6421632Ignacio SantosJanuary 8, 2013 16:08:56 UTC 2013 年 1 月 9 日 (水) 1 時 8 分 56 秒 (日本時間)
1000Dmitry DomanovJanuary 8, 2013 20:22:06 UTC 2013 年 1 月 9 日 (水) 5 時 22 分 6 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:38 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 38 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:50 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 50 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:36 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 36 秒 (日本時間)
134KTakahashiMay 30, 2014 12:28:33 UTC 2014 年 5 月 30 日 (金) 21 時 28 分 33 秒 (日本時間)

22×10232+173

c179

composite cofactor 合成数の残り
28297722931663127141309213296537996138801146308734894449091279081341575055074638858498610950544048127081125355109178639073218127432435392593733173691814278946218082715713876142969<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:39:07 UTC 2012 年 12 月 29 日 (土) 16 時 39 分 7 秒 (日本時間)
403e61000Dmitry DomanovJanuary 8, 2013 20:22:19 UTC 2013 年 1 月 9 日 (水) 5 時 22 分 19 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 8, 2013 20:22:19 UTC 2013 年 1 月 9 日 (水) 5 時 22 分 19 秒 (日本時間)

22×10233+173

c206

composite cofactor 合成数の残り
10874985073183470071093614206568627495375570055618614534009896110528662366945040050289700546154269175158937556226416524562696772403286219972497778175199445392147738301303727766420367419514324527956593514587<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:39:15 UTC 2012 年 12 月 29 日 (土) 16 時 39 分 15 秒 (日本時間)
403e61000Dmitry DomanovJanuary 8, 2013 20:22:32 UTC 2013 年 1 月 9 日 (水) 5 時 22 分 32 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 8, 2013 20:22:32 UTC 2013 年 1 月 9 日 (水) 5 時 22 分 32 秒 (日本時間)

22×10234+173

c234

name 名前matsui
date 日付July 16, 2016 05:12:00 UTC 2016 年 7 月 16 日 (土) 14 時 12 分 0 秒 (日本時間)
composite number 合成数
564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564103<234>
prime factors 素因数
22334640574921008153799064386411129100329871209907295250102000526183886751115094206274372464363<95>
25256845401666338989723894378073162537660858190979506356313512194868288351208557221382259694657518297174886771988926174409102774254131248981<140>
factorization results 素因数分解の結果
N=564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564103
  ( 234 digits)
SNFS difficulty: 235 digits.
Divisors found:
 r1=22334640574921008153799064386411129100329871209907295250102000526183886751115094206274372464363 (pp95)
 r2=25256845401666338989723894378073162537660858190979506356313512194868288351208557221382259694657518297174886771988926174409102774254131248981 (pp140)
Version: Msieve v. 1.53 (SVN unknown)
Total time:
Scaled time: 66.74 units (timescale=1.318).
Factorization parameters were as follows:
n: 564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564103
m: 1000000000000000000000000000000000000000
deg: 6
c6: 22
c0: 17
skew: 0.96
# Murphy_E = 1.085e-12
type: snfs
lss: 1
rlim: 59000000
alim: 59000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
qintsize: 100000
Factor base limits: 59000000/59000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved rational special-q in [29500000, 56200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 7107961 x 7108187
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,235.000,6,0,0,0,0,0,0,0,0,59000000,59000000,30,30,60,60,2.7,2.7,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:39:35 UTC 2012 年 12 月 29 日 (土) 16 時 39 分 35 秒 (日本時間)
403e61000Dmitry DomanovJanuary 8, 2013 20:22:47 UTC 2013 年 1 月 9 日 (水) 5 時 22 分 47 秒 (日本時間)
4511e630501000Dmitry DomanovJanuary 8, 2013 20:22:47 UTC 2013 年 1 月 9 日 (水) 5 時 22 分 47 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:29 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 29 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:12 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 12 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:34 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 34 秒 (日本時間)
5043e6760 / 6823Serge BatalovFebruary 24, 2014 02:26:38 UTC 2014 年 2 月 24 日 (月) 11 時 26 分 38 秒 (日本時間)

22×10239+173

c201

composite cofactor 合成数の残り
285937700300809743447577279608053939904985240126715237770091231986623018753652633918121139814699587470029662262760786645212494401991009778871308095603998305898062699963653904979927953721391840815085389<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:39:44 UTC 2012 年 12 月 29 日 (土) 16 時 39 分 44 秒 (日本時間)
403e61000Dmitry DomanovJanuary 8, 2013 20:23:05 UTC 2013 年 1 月 9 日 (水) 5 時 23 分 5 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 8, 2013 20:23:05 UTC 2013 年 1 月 9 日 (水) 5 時 23 分 5 秒 (日本時間)

22×10240+173

c218

composite cofactor 合成数の残り
41313282698395208678314127027538802564116261175933328243588796235876602676319855416840632952571028802319024026695935866568379254003491234931882346641636421688308862784077775781740011769211277623622616059115061966753167<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:39:57 UTC 2012 年 12 月 29 日 (土) 16 時 39 分 57 秒 (日本時間)
403e61000Dmitry DomanovJanuary 8, 2013 20:23:35 UTC 2013 年 1 月 9 日 (水) 5 時 23 分 35 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 8, 2013 20:23:35 UTC 2013 年 1 月 9 日 (水) 5 時 23 分 35 秒 (日本時間)

22×10241+173

c211

composite cofactor 合成数の残り
5709142245979414944948895834197085057210806756112347321604288821558058471333858904755267096116497254554879850109311928869450928449839302627781084415803517827594428851634724760701241535174254021962598599523944347<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:40:06 UTC 2012 年 12 月 29 日 (土) 16 時 40 分 6 秒 (日本時間)
403e61000Dmitry DomanovJanuary 8, 2013 20:23:46 UTC 2013 年 1 月 9 日 (水) 5 時 23 分 46 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 8, 2013 20:23:46 UTC 2013 年 1 月 9 日 (水) 5 時 23 分 46 秒 (日本時間)

22×10243+173

c215

composite cofactor 合成数の残り
21679012795767030511071794613913499052082133379336100374426269937414478799800896578908974898498084550040705350074258193955516722865655529863200974243646367502835747901158571115231767898059504154883876357112197977653<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:40:13 UTC 2012 年 12 月 29 日 (土) 16 時 40 分 13 秒 (日本時間)
403e61000Dmitry DomanovJanuary 8, 2013 20:23:58 UTC 2013 年 1 月 9 日 (水) 5 時 23 分 58 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 8, 2013 20:23:58 UTC 2013 年 1 月 9 日 (水) 5 時 23 分 58 秒 (日本時間)

22×10244+173

c198

name 名前Dmitry Domanov
date 日付December 31, 2012 00:28:47 UTC 2012 年 12 月 31 日 (月) 9 時 28 分 47 秒 (日本時間)
composite number 合成数
754948106897583917841424637036694164383682597595093843807379462833709284438401036082102470606988146229476907052024711599186659612678673080243752497538667988089034445926421100309323439117488912824547<198>
prime factors 素因数
5580593520202612391978933494551737059<37>
composite cofactor 合成数の残り
135280970413730171990141191030065813079900838632989631838855079455232959774267519290888942380486404564803950311163570425327359493749217226137332558052553973842433<162>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1404653790
Step 1 took 26619ms
Step 2 took 9959ms
********** Factor found in step 2: 5580593520202612391978933494551737059
Found probable prime factor of 37 digits: 5580593520202612391978933494551737059

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:40:34 UTC 2012 年 12 月 29 日 (土) 16 時 40 分 34 秒 (日本時間)
403e61000Dmitry DomanovJanuary 8, 2013 20:24:16 UTC 2013 年 1 月 9 日 (水) 5 時 24 分 16 秒 (日本時間)
4511e622501000Dmitry DomanovJanuary 8, 2013 20:24:16 UTC 2013 年 1 月 9 日 (水) 5 時 24 分 16 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:12:55 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 55 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:38 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 38 秒 (日本時間)
5043e6600 / 7002Erik BrangerMarch 17, 2014 18:38:04 UTC 2014 年 3 月 18 日 (火) 3 時 38 分 4 秒 (日本時間)

22×10246+173

c225

name 名前Dmitry Domanov
date 日付January 14, 2013 06:29:26 UTC 2013 年 1 月 14 日 (月) 15 時 29 分 26 秒 (日本時間)
composite number 合成数
151472487801691157502246885275740553600204218487659893278295470173393634511758365860605839283600918396341279306306137215026365495571024932471863969584887506292895288375443600880703369822557800112590024465183494916530615496719<225>
prime factors 素因数
2090981111673000370950607312034675473847660957<46>
72440868526305126489523491971968465741566304090185003998278000294925655364944222355160716935313164368792436866295493794170616476484442645245012353662470811019695334264117691571867<179>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3937881884
Step 1 took 156218ms
Step 2 took 47413ms
********** Factor found in step 2: 2090981111673000370950607312034675473847660957
Found probable prime factor of 46 digits: 2090981111673000370950607312034675473847660957

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:40:46 UTC 2012 年 12 月 29 日 (土) 16 時 40 分 46 秒 (日本時間)
403e61000Dmitry DomanovJanuary 8, 2013 20:24:36 UTC 2013 年 1 月 9 日 (水) 5 時 24 分 36 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 8, 2013 20:24:36 UTC 2013 年 1 月 9 日 (水) 5 時 24 分 36 秒 (日本時間)

22×10247+173

c213

composite cofactor 合成数の残り
169977291211373116630796348102910982956935955231125838918138853269734504706173752097791969929922766142297559216735670272675966814240100979203964619862156612784713918315815662888829648747442355688107466111383343581<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:41:01 UTC 2012 年 12 月 29 日 (土) 16 時 41 分 1 秒 (日本時間)
403e61000Dmitry DomanovJanuary 8, 2013 20:24:48 UTC 2013 年 1 月 9 日 (水) 5 時 24 分 48 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 8, 2013 20:24:48 UTC 2013 年 1 月 9 日 (水) 5 時 24 分 48 秒 (日本時間)

22×10248+173

c223

composite cofactor 合成数の残り
3891559700264646789620490860299537343224144631222723290560655861228966059540364769312465685667929594647045359990549608969656725317618387697742420115160200634525902241795000883773752126222212861080042965617065732969143704489<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:41:10 UTC 2012 年 12 月 29 日 (土) 16 時 41 分 10 秒 (日本時間)
403e61000Dmitry DomanovJanuary 8, 2013 20:24:59 UTC 2013 年 1 月 9 日 (水) 5 時 24 分 59 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 8, 2013 20:24:59 UTC 2013 年 1 月 9 日 (水) 5 時 24 分 59 秒 (日本時間)

22×10249+173

c238

name 名前Warut Roonguthai
date 日付December 28, 2012 03:52:36 UTC 2012 年 12 月 28 日 (金) 12 時 52 分 36 秒 (日本時間)
composite number 合成数
2167670633706815493460293464011626569157515718625307553230535472798500540165769042105053877497974478728318723392107575477692595669228840722031016919864488678751670678921290066726191201150624014946818955299980192840642724773216742896919533<238>
prime factors 素因数
161107771016334471693556013089<30>
composite cofactor 合成数の残り
13454786321182723502233108441302178309001347960770719300203503206193856840374898347573553299655180320081388667267204841357186804332054754902649446785247894550942356977925455803839226909138061160211035292869197<209>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1449022371
Step 1 took 13120ms
Step 2 took 7082ms
********** Factor found in step 2: 161107771016334471693556013089
Found probable prime factor of 30 digits: 161107771016334471693556013089
Composite cofactor 13454786321182723502233108441302178309001347960770719300203503206193856840374898347573553299655180320081388667267204841357186804332054754902649446785247894550942356977925455803839226909138061160211035292869197 has 209 digits
software ソフトウェア
GMP-ECM 6.3

c209

name 名前Dmitry Domanov
date 日付December 31, 2012 00:26:48 UTC 2012 年 12 月 31 日 (月) 9 時 26 分 48 秒 (日本時間)
composite number 合成数
13454786321182723502233108441302178309001347960770719300203503206193856840374898347573553299655180320081388667267204841357186804332054754902649446785247894550942356977925455803839226909138061160211035292869197<209>
prime factors 素因数
16348197427406531160777302408921116535279<41>
823013447257908680147236741054057523691125079841614078762329218904720124883642229938753918415938517456914485922009665516955624181059606596585304283381279573836253651843<168>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3951613482
Step 1 took 26750ms
Step 2 took 10260ms
********** Factor found in step 2: 16348197427406531160777302408921116535279
Found probable prime factor of 41 digits: 16348197427406531160777302408921116535279

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:41:18 UTC 2012 年 12 月 29 日 (土) 16 時 41 分 18 秒 (日本時間)

22×10250+173

c242

composite cofactor 合成数の残り
13837690725247429375008682875748743112125983786400043329935808529593333911279582135901582012616437656662224403761001791007215782644124726558480502191931692502071452454433632183857983033857863976253821773541583204517122472660759801440713949977<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 27, 2012 14:00:00 UTC 2012 年 12 月 27 日 (木) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 29, 2012 07:41:26 UTC 2012 年 12 月 29 日 (土) 16 時 41 分 26 秒 (日本時間)
403e61000Dmitry DomanovJanuary 8, 2013 20:25:12 UTC 2013 年 1 月 9 日 (水) 5 時 25 分 12 秒 (日本時間)
4511e61000Dmitry DomanovJanuary 8, 2013 20:25:12 UTC 2013 年 1 月 9 日 (水) 5 時 25 分 12 秒 (日本時間)
5043e6920 / 7283420Dmitry DomanovJanuary 14, 2013 23:13:59 UTC 2013 年 1 月 15 日 (火) 8 時 13 分 59 秒 (日本時間)
500Dmitry DomanovFebruary 19, 2013 11:30:27 UTC 2013 年 2 月 19 日 (火) 20 時 30 分 27 秒 (日本時間)