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

c156

name 名前Eric Jeancolas
date 日付December 13, 2020 11:57:47 UTC 2020 年 12 月 13 日 (日) 20 時 57 分 47 秒 (日本時間)
composite number 合成数
592813482260539816573285099951893028539801844453071033975475976700379685000061841730286610971791510396786665189169314447668289344543691705287196946935621267<156>
prime factors 素因数
127989698876549161987583390771875736043970820798869<51>
4631728080181910026348162931203743255648686700614300091672902330588041066385780995783283703966451269707143<106>
factorization results 素因数分解の結果
592813482260539816573285099951893028539801844453071033975475976700379685000061841730286610971791510396786665189169314447668289344543691705287196946935621267=127989698876549161987583390771875736043970820798869*4631728080181910026348162931203743255648686700614300091672902330588041066385780995783283703966451269707143

cado polynomial
n: 592813482260539816573285099951893028539801844453071033975475976700379685000061841730286610971791510396786665189169314447668289344543691705287196946935621267
skew: 0.38
type: snfs
c0: 17
c5: 2200
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 2200*x^5+17
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11700000
tasks.lim1 = 11700000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 4631728080181910026348162931203743255648686700614300091672902330588041066385780995783283703966451269707143 127989698876549161987583390771875736043970820798869
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.14/2.16901
Info:Generate Free Relations: Total cpu/real time for freerel: 99.48/25.4149
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28196132
Info:Lattice Sieving: Average J: 1893.82 for 2828614 special-q, max bucket fill -bkmult 1.0,1s:1.152150
Info:Lattice Sieving: Total time: 795474s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 52.98/138.062
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 137.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 472.46/477.026
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 417.40000000000003s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 405.01/481.647
Info:Filtering - Merging: Merged matrix has 2357398 rows and total weight 406338313 (172.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 328.29/143.619
Info:Filtering - Merging: Total cpu/real time for replay: 91.75/79.6624
Info:Linear Algebra: Total cpu/real time for bwc: 97297.8/24868
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 15826.05, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (73728 iterations)
Info:Linear Algebra: Lingen CPU time 472.42, WCT time 137.44
Info:Linear Algebra: Mksol: WCT time 8673.81, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36864 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 82.79/34.2945
Info:Square Root: Total cpu/real time for sqrt: 691.34/217.024
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.56612e+06/75669.8
Info:root: Cleaning up computation data in /tmp/cado.59dm9rry
4631728080181910026348162931203743255648686700614300091672902330588041066385780995783283703966451269707143 127989698876549161987583390771875736043970820798869
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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)
4511e62100 / 40631000Dmitry DomanovJanuary 8, 2013 19:43:18 UTC 2013 年 1 月 9 日 (水) 4 時 43 分 18 秒 (日本時間)
1100Eric JeancolasOctober 16, 2020 05:12:18 UTC 2020 年 10 月 16 日 (金) 14 時 12 分 18 秒 (日本時間)

22×10193+173

c162

name 名前Evan Engler
date 日付January 18, 2021 20:07:56 UTC 2021 年 1 月 19 日 (火) 5 時 7 分 56 秒 (日本時間)
composite number 合成数
780874085536416701904707461852146712939630438489365035285457104961988408124921665855126915821324093843915016995056920261497211422575379943152413441542126174389829<162>
prime factors 素因数
2119621397167506777651210137864129800240087361744708654190973092541901884753<76>
368402624440343279572232307704944799015860473254666000713018812609897026729761778752693<87>
factorization results 素因数分解の結果
nfs: found 22279562 relations, need at least 22262705, proceeding with filtering ...
Elapsed time is now 39750.4343 seconds.
nfs: commencing msieve filtering
780874085536416701904707461852146712939630438489365035285457104961988408124921665855126915821324093843915016995056920261497211422575379943152413441542126174389829

commencing relation filtering
estimated available RAM is 7937.4 MB
commencing duplicate removal, pass 1
read 10M relations
read 20M relations
skipped 1 relations with b > 2^32
found 2524793 hash collisions in 23004033 relations
added 1217 free relations
commencing duplicate removal, pass 2
found 1936211 duplicates and 21069039 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 689.0 MB
reading all ideals from disk
memory use: 695.4 MB
keeping 22985852 ideals with weight <= 200, target excess is 117918
commencing in-memory singleton removal
begin with 21069039 relations and 22985852 unique ideals
reduce to 9201457 relations and 8938947 ideals in 20 passes
max relations containing the same ideal: 117
removing 754265 relations and 691402 ideals in 62863 cliques
commencing in-memory singleton removal
begin with 8447192 relations and 8938947 unique ideals
reduce to 8389270 relations and 8189015 ideals in 10 passes
max relations containing the same ideal: 110
removing 548792 relations and 485929 ideals in 62863 cliques
commencing in-memory singleton removal
begin with 7840478 relations and 8189015 unique ideals
reduce to 7807749 relations and 7670071 ideals in 9 passes
max relations containing the same ideal: 103
relations with 0 large ideals: 2868
relations with 1 large ideals: 524
relations with 2 large ideals: 10552
relations with 3 large ideals: 91985
relations with 4 large ideals: 439292
relations with 5 large ideals: 1225367
relations with 6 large ideals: 2145844
relations with 7+ large ideals: 3891317
commencing 2-way merge
reduce to 4567191 relation sets and 4429515 unique ideals
ignored 2 oversize relation sets
commencing full merge
memory use: 533.6 MB
found 2097770 cycles, need 2095715
weight of 2095715 cycles is about 188664558 (90.02/cycle)
distribution of cycle lengths:
1 relations: 237237
2 relations: 211742
3 relations: 206971
4 relations: 190633
5 relations: 170675
6 relations: 153460
7 relations: 133092
8 relations: 114723
9 relations: 100675
10+ relations: 576507
heaviest cycle: 28 relations
commencing cycle optimization
start with 15075884 relations
pruned 406161 relations
memory use: 468.4 MB
distribution of cycle lengths:
1 relations: 237237
2 relations: 216595
3 relations: 214415
4 relations: 195524
5 relations: 175591
6 relations: 155680
7 relations: 134772
8 relations: 115278
9 relations: 100609
10+ relations: 550014
heaviest cycle: 28 relations
RelProcTime: 378
Elapsed time is now 40128.5204 seconds.
nfs: commencing msieve linear algebra

commencing linear algebra
read 2095715 cycles
cycles contain 7636631 unique relations
read 7636631 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 947.3 MB
read 2095715 cycles
matrix is 2095538 x 2095715 (774.2 MB) with weight 228788482 (109.17/col)
sparse part has weight 179893066 (85.84/col)
filtering completed in 2 passes
matrix is 2095048 x 2095225 (774.1 MB) with weight 228769335 (109.19/col)
sparse part has weight 179886928 (85.86/col)
matrix starts at (0, 0)
matrix is 2095048 x 2095225 (774.1 MB) with weight 228769335 (109.19/col)
sparse part has weight 179886928 (85.86/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2095000 x 2095225 (741.1 MB) with weight 189301997 (90.35/col)
sparse part has weight 173330052 (82.73/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 702.7 MB
linear algebra at 0.1%, ETA 1h 8m2095225 dimensions (0.1%, ETA 1h 8m)
checkpointing every 1460000 dimensions25 dimensions (0.1%, ETA 1h26m)
linear algebra completed 2094963 of 2095225 dimensions (100.0%, ETA 0h 0m)
lanczos halted after 33130 iterations (dim = 2094998)
recovered 38 nontrivial dependencies
BLanczosTime: 4567
Elapsed time is now 44695.8549 seconds.
nfs: commencing msieve sqrt

commencing square root phase
reading relations for dependency 1
read 1047460 cycles
cycles contain 3817116 unique relations
read 3817116 relations
multiplying 3817116 relations
multiply complete, coefficients have about 140.80 million bits
initial square root is modulo 113041
sqrtTime: 196
NFS elapsed time = 44891.4129 seconds.
pretesting / nfs ratio was 0.00
Total factoring time = 44891.5066 seconds


***factors found***

P76 = 2119621397167506777651210137864129800240087361744708654190973092541901884753
P87 = 368402624440343279572232307704944799015860473254666000713018812609897026729761778752693
software ソフトウェア
YAFU 1.35-beta, msieve (svn 1036) 
execution environment 実行環境
i7-7700k, WSL2

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)
4511e61969 / 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)
937Evan EnglerJanuary 17, 2021 18:20:54 UTC 2021 年 1 月 18 日 (月) 3 時 20 分 54 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

name 名前Edwin Hall
date 日付December 30, 2020 14:05:53 UTC 2020 年 12 月 30 日 (水) 23 時 5 分 53 秒 (日本時間)
composite number 合成数
758111199157335096181843617441895113888746052825033352420026594825821830894437005321948595860939107642244565114727226343529631626617569274789064439859922007942877451240010654764188461<183>
prime factors 素因数
145767732265964162244225892594175069152480247742723971<54>
5200816308057151796965019573753809008699724183803303422429004788178943602430805974575914370694250693463195284469360245272970210191<130>
factorization results 素因数分解の結果
p54 factor: 145767732265964162244225892594175069152480247742723971
p130 factor: 5200816308057151796965019573753809008699724183803303422429004788178943602430805974575914370694250693463195284469360245272970210191


Msieve v. 1.54 (SVN 1034)
random seeds: e528ac94 c32dc5f4
factoring 758111199157335096181843617441895113888746052825033352420026594825821830894437005321948595860939107642244565114727226343529631626617569274789064439859922007942877451240010654764188461 (183 digits)
searching for 15-digit factors
commencing number field sieve (183-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 17
A1: 0
A2: 0
A3: 0
A4: 0
A5: 22
skew 1.00, size 1.122e-13, alpha 1.032, combined = 2.139e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 1194868 hash collisions in 36636162 relations
added 728215 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37364377 unique relations
memory use: 97.3 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1233.6 MB
keeping 40105793 ideals with weight <= 200, target excess is 197281
commencing in-memory singleton removal
begin with 37364377 relations and 40105793 unique ideals
reduce to 14239850 relations and 13015984 ideals in 16 passes
max relations containing the same ideal: 108
removing 2148733 relations and 1748733 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 12091117 relations and 13015984 unique ideals
reduce to 11810171 relations and 10976165 ideals in 11 passes
max relations containing the same ideal: 93
removing 1729403 relations and 1329403 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10080768 relations and 10976165 unique ideals
reduce to 9859555 relations and 9417814 ideals in 9 passes
max relations containing the same ideal: 83
removing 1015319 relations and 802424 ideals in 212895 cliques
commencing in-memory singleton removal
begin with 8844236 relations and 9417814 unique ideals
reduce to 8755848 relations and 8525124 ideals in 8 passes
max relations containing the same ideal: 77
relations with 0 large ideals: 4064
relations with 1 large ideals: 8401
relations with 2 large ideals: 75322
relations with 3 large ideals: 372921
relations with 4 large ideals: 1103667
relations with 5 large ideals: 2041576
relations with 6 large ideals: 2467161
relations with 7+ large ideals: 2682736
commencing 2-way merge
reduce to 5426490 relation sets and 5195766 unique ideals
commencing full merge
memory use: 609.0 MB
found 2520440 cycles, need 2497966
weight of 2497966 cycles is about 224922096 (90.04/cycle)
distribution of cycle lengths:
1 relations: 212518
2 relations: 213664
3 relations: 222001
4 relations: 215895
5 relations: 208175
6 relations: 190944
7 relations: 178786
8 relations: 161323
9 relations: 144690
10+ relations: 749970
heaviest cycle: 27 relations
commencing cycle optimization
start with 18529141 relations
pruned 629873 relations
memory use: 546.3 MB
distribution of cycle lengths:
1 relations: 212518
2 relations: 218996
3 relations: 230411
4 relations: 223345
5 relations: 215496
6 relations: 197052
7 relations: 184448
8 relations: 165068
9 relations: 147295
10+ relations: 703337
heaviest cycle: 27 relations
RelProcTime: 983
elapsed time 00:16:25


Msieve v. 1.54 (SVN 1034)
random seeds: 0942b8f4 af5be103
factoring 758111199157335096181843617441895113888746052825033352420026594825821830894437005321948595860939107642244565114727226343529631626617569274789064439859922007942877451240010654764188461 (183 digits)
searching for 15-digit factors
commencing number field sieve (183-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 17
A1: 0
A2: 0
A3: 0
A4: 0
A5: 22
skew 1.00, size 1.122e-13, alpha 1.032, combined = 2.139e-11 rroots = 1

commencing linear algebra
read 2497966 cycles
cycles contain 8573582 unique relations
read 8573582 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1055.0 MB
read 2497966 cycles
matrix is 2497789 x 2497966 (917.5 MB) with weight 271284710 (108.60/col)
sparse part has weight 213046739 (85.29/col)
filtering completed in 2 passes
matrix is 2496992 x 2497169 (917.4 MB) with weight 271253106 (108.62/col)
sparse part has weight 213034485 (85.31/col)
matrix starts at (0, 0)
matrix is 2496992 x 2497169 (917.4 MB) with weight 271253106 (108.62/col)
sparse part has weight 213034485 (85.31/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2496944 x 2497169 (874.9 MB) with weight 222850667 (89.24/col)
sparse part has weight 204379388 (81.84/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 833.6 MB
linear algebra at 0.1%, ETA 3h12m
checkpointing every 810000 dimensions
lanczos halted after 39483 iterations (dim = 2496942)
recovered 36 nontrivial dependencies
BLanczosTime: 10878
elapsed time 03:01:19


Msieve v. 1.54 (SVN 1034)
random seeds: b67a07d7 e7e6f606
factoring 758111199157335096181843617441895113888746052825033352420026594825821830894437005321948595860939107642244565114727226343529631626617569274789064439859922007942877451240010654764188461 (183 digits)
searching for 15-digit factors
commencing number field sieve (183-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 17
A1: 0
A2: 0
A3: 0
A4: 0
A5: 22
skew 1.00, size 1.122e-13, alpha 1.032, combined = 2.139e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1248900 cycles
cycles contain 4288122 unique relations
read 4288122 relations
multiplying 4288122 relations
multiply complete, coefficients have about 114.80 million bits
initial square root is modulo 173906021
GCD is 1, no factor found
reading relations for dependency 2
read 1248876 cycles
cycles contain 4285684 unique relations
read 4285684 relations
multiplying 4285684 relations
multiply complete, coefficients have about 114.74 million bits
initial square root is modulo 171955781
sqrtTime: 448
p54 factor: 145767732265964162244225892594175069152480247742723971
p130 factor: 5200816308057151796965019573753809008699724183803303422429004788178943602430805974575914370694250693463195284469360245272970210191
elapsed time 00:07:29
software ソフトウェア
CADO-NFS/Msieve

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)
4511e6427232Ignacio 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)
3240Edwin HallDecember 28, 2020 16:53:23 UTC 2020 年 12 月 29 日 (火) 1 時 53 分 23 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

c153

name 名前Eric Jeancolas
date 日付September 6, 2021 06:04:10 UTC 2021 年 9 月 6 日 (月) 15 時 4 分 10 秒 (日本時間)
composite number 合成数
162631825549783751295866446947190481527542400941976286560382655837239566893610989918569146348381161296601343514990401403459613148506298287882369753536801<153>
prime factors 素因数
38580969618158870389254224831897957507676420263877232159<56>
4215337954420875304664031542406070542820596530281714001632572135811873408612054299759674693941439<97>
factorization results 素因数分解の結果
162631825549783751295866446947190481527542400941976286560382655837239566893610989918569146348381161296601343514990401403459613148506298287882369753536801=38580969618158870389254224831897957507676420263877232159*4215337954420875304664031542406070542820596530281714001632572135811873408612054299759674693941439

cado polynomial
n: 162631825549783751295866446947190481527542400941976286560382655837239566893610989918569146348381161296601343514990401403459613148506298287882369753536801
skew: 1.41
type: snfs
c0: 85
c6: 11
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 11*x^6+85
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14500000
tasks.lim1 = 14500000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 38580969618158870389254224831897957507676420263877232159 4215337954420875304664031542406070542820596530281714001632572135811873408612054299759674693941439
Info:Square Root: Total cpu/real time for sqrt: 727.67/221.848
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 122.64/142.863
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 142.29999999999998s
Info:Generate Free Relations: Total cpu/real time for freerel: 182.71/47.2445
Info:Generate Factor Base: Total cpu/real time for makefb: 9.51/3.75978
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 548.61/552.394
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 453.30000000000007s
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28768036
Info:Lattice Sieving: Average J: 1893.18 for 3726228 special-q, max bucket fill -bkmult 1.0,1s:1.181610
Info:Lattice Sieving: Total time: 814452s
Info:Linear Algebra: Total cpu/real time for bwc: 123785/31661.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 79408.92, WCT time 20255.67, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (83456 iterations)
Info:Linear Algebra: Lingen CPU time 573.13, WCT time 145.38
Info:Linear Algebra: Mksol: CPU time 42833.32,  WCT time 10926.51, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (41984 iterations)
Info:Square Root: Total cpu/real time for sqrt: 727.67/221.848
Info:Filtering - Merging: Merged matrix has 2659720 rows and total weight 453422477 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 738.6/204.61
Info:Filtering - Merging: Total cpu/real time for replay: 103.57/89.4824
Info:Filtering - Singleton removal: Total cpu/real time for purge: 430.47/502.47
Info:Quadratic Characters: Total cpu/real time for characters: 91.03/39.3892
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.6545e+06/292269
38580969618158870389254224831897957507676420263877232159 4215337954420875304664031542406070542820596530281714001632572135811873408612054299759674693941439
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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)
4511e6551232Ignacio 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)
4480Ignacio SantosAugust 20, 2021 21:35:54 UTC 2021 年 8 月 21 日 (土) 6 時 35 分 54 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

name 名前Bob Backstrom
date 日付September 13, 2021 04:42:24 UTC 2021 年 9 月 13 日 (月) 13 時 42 分 24 秒 (日本時間)
composite number 合成数
8193666732522891247583061733763843236181195524028529406670744645456130373172162264512952194569338424115936879155968907918679316835210005300626705733207186176500640459808978492597557763<184>
prime factors 素因数
76676211025612257606252697252275302302297935927659259917<56>
106860610649970037769009721249198247386859176451462218213679387247062555455588608417776382212370285885891764177039551904897513039<129>
factorization results 素因数分解の結果
Number: n
N=8193666732522891247583061733763843236181195524028529406670744645456130373172162264512952194569338424115936879155968907918679316835210005300626705733207186176500640459808978492597557763  ( 184 digits)
SNFS difficulty: 204 digits.
Divisors found:

Mon Sep 13 14:37:53 2021  p56 factor: 76676211025612257606252697252275302302297935927659259917
Mon Sep 13 14:37:53 2021  p129 factor: 106860610649970037769009721249198247386859176451462218213679387247062555455588608417776382212370285885891764177039551904897513039
Mon Sep 13 14:37:53 2021  elapsed time 01:56:25 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 22x10^203+17 = 73(202)9
#
n: 8193666732522891247583061733763843236181195524028529406670744645456130373172162264512952194569338424115936879155968907918679316835210005300626705733207186176500640459808978492597557763
m: 10000000000000000000000000000000000000000
deg: 5
c5: 22000
c0: 17
skew: 0.24
# Murphy_E = 9.62e-12
type: snfs
lss: 1
rlim: 17800000
alim: 17800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17800000/17800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10092318 hash collisions in 69999214 relations (61331376 unique)
Msieve: matrix is 2234146 x 2234371 (767.1 MB)

Sieving start time : 2021/09/12 22:15:08
Sieving end time  : 2021/09/13 12:39:09

Total sieving time: 14hrs 24min 1secs.

Total relation processing time: 1hrs 35min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 11sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17800000,17800000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118839] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239964K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487272K reserved, 0K cma-reserved)
[    0.153502] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.11 BogoMIPS (lpj=12798236)
[    0.152049] smpboot: Total of 16 processors activated (102385.88 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 07:33:04 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

name 名前Bob Backstrom
date 日付June 2, 2021 23:11:17 UTC 2021 年 6 月 3 日 (木) 8 時 11 分 17 秒 (日本時間)
composite number 合成数
160702804265520277820031798296458859725745906013626275787401502177733222632134289044863667150611773727196894862005089528564150941554442723635139683882992341187762709971646427245375633593668529972811<198>
prime factors 素因数
3834535112347050434811900988069673221229020310056530707257641786172052614438532017453284097<91>
41909331785243964666892495435611965488856613957195533429993296314923427955023697491336639042903858909945163<107>
factorization results 素因数分解の結果
Number: n
N=160702804265520277820031798296458859725745906013626275787401502177733222632134289044863667150611773727196894862005089528564150941554442723635139683882992341187762709971646427245375633593668529972811
  ( 198 digits)
SNFS difficulty: 208 digits.
Divisors found:

Thu Jun  3 09:00:09 2021  p91 factor: 3834535112347050434811900988069673221229020310056530707257641786172052614438532017453284097
Thu Jun  3 09:00:09 2021  p107 factor: 41909331785243964666892495435611965488856613957195533429993296314923427955023697491336639042903858909945163
Thu Jun  3 09:00:09 2021  elapsed time 03:19:13 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 22x10^207+17 = 73(206)9
#
n: 160702804265520277820031798296458859725745906013626275787401502177733222632134289044863667150611773727196894862005089528564150941554442723635139683882992341187762709971646427245375633593668529972811
m: 100000000000000000000000000000000000000000
deg: 5
c5: 2200
c0: 17
skew: 0.38
# Murphy_E = 6.496e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 37700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7971818 hash collisions in 55723881 relations (49767929 unique)
Msieve: matrix is 2870595 x 2870820 (1007.2 MB)

Sieving start time : 2021/06/02 16:27:52
Sieving end time  : 2021/06/03 05:39:48

Total sieving time: 13hrs 11min 56secs.

Total relation processing time: 2hrs 56min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 43sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117662] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241088K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486148K reserved, 0K cma-reserved)
[    0.152608] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.07 BogoMIPS (lpj=12798140)
[    0.150211] smpboot: Total of 16 processors activated (102385.12 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 07:33:44 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

name 名前Bob Backstrom
date 日付September 15, 2021 07:57:35 UTC 2021 年 9 月 15 日 (水) 16 時 57 分 35 秒 (日本時間)
composite number 合成数
7490334375919721462698952542724836671182474253998826194370582114454605446366704704483683931308690476572320328056478931663039257529306802952386754349614887040563<160>
prime factors 素因数
163134541778866973349486758771688512254914123800041<51>
45915072885502449252893501612987485605281409076926757089713560545998777961292964820270789935646643468724966843<110>
factorization results 素因数分解の結果
#
# N = 22x10^208+17 = 73(207)9
#
n: 7490334375919721462698952542724836671182474253998826194370582114454605446366704704483683931308690476572320328056478931663039257529306802952386754349614887040563
m: 100000000000000000000000000000000000000000
deg: 5
c5: 22000
c0: 17
skew: 0.24
# Murphy_E = 5.921e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 7490334375919721462698952542724836671182474253998826194370582114454605446366704704483683931308690476572320328056478931663039257529306802952386754349614887040563 (160 digits)
Using B1=44500000, B2=240492041806, polynomial Dickson(12), sigma=1:3505801962
Step 1 took 107846ms
Step 2 took 35530ms
********** Factor found in step 2: 163134541778866973349486758771688512254914123800041
Found prime factor of 51 digits: 163134541778866973349486758771688512254914123800041
Prime cofactor 45915072885502449252893501612987485605281409076926757089713560545998777961292964820270789935646643468724966843 has 110 digits

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

name 名前Bob Backstrom
date 日付October 12, 2020 01:18:56 UTC 2020 年 10 月 12 日 (月) 10 時 18 分 56 秒 (日本時間)
composite number 合成数
46370880218008199922361735634941768831201635511691529863006398356787165894422454400275334564476818047195126673443082034335945052612078449351097714473210238952542367139204821472245920769645678646501269<200>
prime factors 素因数
10545558169755095930392970355448794511577582593716738830438165161558901446028415621591589<89>
4397195432575674747679758093973672139783664325959595921047229059040138909600584927179044816491396011798309971121<112>
factorization results 素因数分解の結果
Number: n
N=46370880218008199922361735634941768831201635511691529863006398356787165894422454400275334564476818047195126673443082034335945052612078449351097714473210238952542367139204821472245920769645678646501269  ( 200 digits)
SNFS difficulty: 211 digits.
Divisors found:

Mon Oct 12 12:11:40 2020  prp89 factor: 10545558169755095930392970355448794511577582593716738830438165161558901446028415621591589
Mon Oct 12 12:11:40 2020  prp112 factor: 4397195432575674747679758093973672139783664325959595921047229059040138909600584927179044816491396011798309971121
Mon Oct 12 12:11:40 2020  elapsed time 04:02:21 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.120).
Factorization parameters were as follows:
#
# N = 22x10^210+17 = 73(209)9
#
n: 46370880218008199922361735634941768831201635511691529863006398356787165894422454400275334564476818047195126673443082034335945052612078449351097714473210238952542367139204821472245920769645678646501269
m: 100000000000000000000000000000000000
deg: 6
c6: 22
c0: 17
skew: 0.96
# Murphy_E = 6.333e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 29900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9378347 hash collisions in 63095389 relations (56586985 unique)
Msieve: matrix is 2671723 x 2671948 (769.1 MB)

Sieving start time: 2020/10/11 22:51:58
Sieving end time  : 2020/10/12 08:08:07

Total sieving time: 9hrs 16min 9secs.

Total relation processing time: 3hrs 39min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 51sec.

Prototype def-par.txt line would be:
snfs,211,6,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.113540] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16228504K/16703460K available (14339K kernel code, 2398K rwdata, 4956K rodata, 2716K init, 4988K bss, 474956K reserved, 0K cma-reserved)
[    0.148670] x86/mm: Memory block size: 128MB
[    0.000008] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.64 BogoMIPS (lpj=11977280)
[    0.146244] smpboot: Total of 16 processors activated (95818.24 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 07:34:16 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

name 名前Bob Backstrom
date 日付September 1, 2020 18:18:25 UTC 2020 年 9 月 2 日 (水) 3 時 18 分 25 秒 (日本時間)
composite number 合成数
1190822779168367944209347373702006186033020304558836546719701835064065274484738284032642691067183444843636942314690630534130123453072261761616968389778569414922453534501067121054285025511811958217088489<202>
prime factors 素因数
6764717503648435413018595344253632146014512799<46>
176034369288313653510212483150486033294116983866648816087260864114852929848163247168848075038259136712607281826524274340056649606006469213432046579393992311<156>
factorization results 素因数分解の結果
(22x10^215+17)/3 = 73(214)9

GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 1190822779168367944209347373702006186033020304558836546719701835064065274484738284032642691067183444843636942314690630534130123453072261761616968389778569414922453534501067121054285025511811958217088489 (202 digits)
Using B1=31260000, B2=144290666536, polynomial Dickson(12), sigma=1841636967
Step 1 took 167817ms
Step 2 took 41498ms
********** Factor found in step 2: 6764717503648435413018595344253632146014512799
Found probable prime factor of 46 digits: 6764717503648435413018595344253632146014512799
Probable prime cofactor 176034369288313653510212483150486033294116983866648816087260864114852929848163247168848075038259136712607281826524274340056649606006469213432046579393992311 has 156 digits

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

name 名前Bob Backstrom
date 日付June 30, 2020 13:24:59 UTC 2020 年 6 月 30 日 (火) 22 時 24 分 59 秒 (日本時間)
composite number 合成数
19610119909938510682673010587565603608269308826040283107775991468338149537545761599762415250277474788166938002419943023021743142783589814709698710429669247160228533670883042456433982573699061121653069275719<206>
prime factors 素因数
431548795380088704495769985420310058450531463897722040754912649<63>
45441257442664860205742801403936570346111976594580533632046998469808509600928231466676864381828266709610977807559034646031468355284748569476431<143>
factorization results 素因数分解の結果
Number: n
N=19610119909938510682673010587565603608269308826040283107775991468338149537545761599762415250277474788166938002419943023021743142783589814709698710429669247160228533670883042456433982573699061121653069275719  ( 206 digits)
SNFS difficulty: 219 digits.
Divisors found:

Tue Jun 30 23:19:03 2020  p63 factor: 431548795380088704495769985420310058450531463897722040754912649
Tue Jun 30 23:19:03 2020  p143 factor: 45441257442664860205742801403936570346111976594580533632046998469808509600928231466676864381828266709610977807559034646031468355284748569476431
Tue Jun 30 23:19:03 2020  elapsed time 11:42:53 (Msieve 1.54 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.122).
Factorization parameters were as follows:
#
# N = 22x10^218+17 = 73(217)9
#
n: 19610119909938510682673010587565603608269308826040283107775991468338149537545761599762415250277474788166938002419943023021743142783589814709698710429669247160228533670883042456433982573699061121653069275719
m: 1000000000000000000000000000000000000
deg: 6
c6: 2200
c0: 17
skew: 0.44
# Murphy_E = 2.05e-12
type: snfs
lss: 1
rlim: 32000000
alim: 32000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 32000000/32000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 92000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9957066 hash collisions in 57714714 relations (49765580 unique)
Msieve: matrix is 4810622 x 4810847 (1706.4 MB)

Sieving start time: 2020/06/28 13:19:38
Sieving end time  : 2020/06/30 11:35:15

Total sieving time: 46hrs 15min 37secs.

Total relation processing time: 10hrs 50min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 33min 39sec.

Prototype def-par.txt line would be:
snfs,219,6,0,0,0,0,0,0,0,0,32000000,32000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149789] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283132K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2720K bss, 420328K reserved, 0K cma-reserved)
[    0.184561] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.43 BogoMIPS (lpj=11976876)
[    0.182228] smpboot: Total of 16 processors activated (95815.00 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 07:35:50 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

name 名前Bob Backstrom
date 日付January 9, 2020 11:32:20 UTC 2020 年 1 月 9 日 (木) 20 時 32 分 20 秒 (日本時間)
composite number 合成数
758287440907198100828896869803870722452936390682885706624063032110370477990516788567101742007223179897926126839663453369338960417053037151005324223620847214582368430342095539086593583288967108641518684555641<207>
prime factors 素因数
82196038229313555090908336755491164252984625156820206250871923871155399450270682548943<86>
9225352672007131081470510643905717225253152329795550441448766431951450410658134389467919995851088708503728033434747263287<121>
factorization results 素因数分解の結果
Number: n
N=758287440907198100828896869803870722452936390682885706624063032110370477990516788567101742007223179897926126839663453369338960417053037151005324223620847214582368430342095539086593583288967108641518684555641
  ( 207 digits)
SNFS difficulty: 220 digits.
Divisors found:

Thu Jan  9 22:27:05 2020  p86 factor: 82196038229313555090908336755491164252984625156820206250871923871155399450270682548943
Thu Jan  9 22:27:05 2020  p121 factor: 9225352672007131081470510643905717225253152329795550441448766431951450410658134389467919995851088708503728033434747263287
Thu Jan  9 22:27:05 2020  elapsed time 11:15:53 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.133).
Factorization parameters were as follows:
#
# N = 22x10^219+17 = 73(218)9
#
n: 758287440907198100828896869803870722452936390682885706624063032110370477990516788567101742007223179897926126839663453369338960417053037151005324223620847214582368430342095539086593583288967108641518684555641
m: 1000000000000000000000000000000000000
deg: 6
c6: 22000
c0: 17
skew: 0.30
# Murphy_E = 2.099e-12
type: snfs
lss: 1
rlim: 33000000
alim: 33000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 33000000/33000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 92500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9836519 hash collisions in 57621303 relations (49832209 unique)
Msieve: matrix is 4857317 x 4857542 (1717.4 MB)

Sieving start time: 2020/01/07 11:52:40
Sieving end time  : 2020/01/09 11:08:59

Total sieving time: 47hrs 16min 19secs.

Total relation processing time: 10hrs 44min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 5sec.

Prototype def-par.txt line would be:
snfs,220,6,0,0,0,0,0,0,0,0,33000000,33000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149937] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283572K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2428K init, 2388K bss, 419888K reserved, 0K cma-reserved)
[    0.184567] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.57 BogoMIPS (lpj=11977148)
[    0.182215] smpboot: Total of 16 processors activated (95817.18 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
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

name 名前Bob Backstrom
date 日付August 11, 2019 12:52:32 UTC 2019 年 8 月 11 日 (日) 21 時 52 分 32 秒 (日本時間)
composite number 合成数
96675360286327105801044103558628361375361856422843542165690045585552352539743669061328523962664485600229254191649172710931035968195230230195326281560105306009132543373477293315429232381687892115535967252645467403637<215>
prime factors 素因数
123275134306249717645567056953585539189661273257<48>
784224335510830793175773197265833119014391728281727007644206586604798826307556490377850255346207660655097583802690991673116698542568508643154240799774674245283266639341<168>
factorization results 素因数分解の結果
Number: n
N=96675360286327105801044103558628361375361856422843542165690045585552352539743669061328523962664485600229254191649172710931035968195230230195326281560105306009132543373477293315429232381687892115535967252645467403637
  ( 215 digits)
SNFS difficulty: 223 digits.
Divisors found:

Sun Aug 11 22:33:41 2019  p48 factor: 123275134306249717645567056953585539189661273257
Sun Aug 11 22:33:41 2019  p168 factor: 784224335510830793175773197265833119014391728281727007644206586604798826307556490377850255346207660655097583802690991673116698542568508643154240799774674245283266639341
Sun Aug 11 22:33:41 2019  elapsed time 06:40:22 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.124).
Factorization parameters were as follows:
#
# N = 22x10^222+17 = 73(221)9
#
n: 96675360286327105801044103558628361375361856422843542165690045585552352539743669061328523962664485600229254191649172710931035968195230230195326281560105306009132543373477293315429232381687892115535967252645467403637
m: 10000000000000000000000000000000000000
deg: 6
c6: 22
c0: 17
skew: 0.96
# Murphy_E = 2.8e-12
type: snfs
lss: 1
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 65700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 12699751 hash collisions in 71162718 relations (61054795 unique)
Msieve: matrix is 3896462 x 3896690 (1374.5 MB)

Sieving start time: 2019/08/10 10:32:45
Sieving end time  : 2019/08/11 15:49:56

Total sieving time: 29hrs 17min 11secs.

Total relation processing time: 6hrs 11min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 2sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,37000000,37000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284112K/16703460K available (12300K kernel code, 2473K rwdata, 4276K rodata, 2408K init, 2416K bss, 419348K reserved, 0K cma-reserved)
[    0.080568] x86/mm: Memory block size: 128MB
[    0.032000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.78 BogoMIPS (lpj=11977576)
[    0.078219] smpboot: Total of 16 processors activated (95820.60 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 07:36:05 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

name 名前Bob Backstrom
date 日付November 10, 2020 13:34:02 UTC 2020 年 11 月 10 日 (火) 22 時 34 分 2 秒 (日本時間)
composite number 合成数
724136796023830683650966064316513610480234356999440439748527039926269708041209966755538000724136796023830683650966064316513610480234356999440439748527039926269708041209966755538000724136796023830683650966064316513610480234357<225>
prime factors 素因数
1006569750665389678363157197614762567788090581508155100635909<61>
719410448749470562319661664461423068875728490791324668381805035199104985828480221365559109166907318713276193953306958426763022124286707113342853820681076714243057073<165>
factorization results 素因数分解の結果
Number: n
N=724136796023830683650966064316513610480234356999440439748527039926269708041209966755538000724136796023830683650966064316513610480234356999440439748527039926269708041209966755538000724136796023830683650966064316513610480234357  ( 225 digits)
SNFS difficulty: 229 digits.
Divisors found:

Wed Nov 11 00:31:06 2020  p61 factor: 1006569750665389678363157197614762567788090581508155100635909
Wed Nov 11 00:31:06 2020  p165 factor: 719410448749470562319661664461423068875728490791324668381805035199104985828480221365559109166907318713276193953306958426763022124286707113342853820681076714243057073
Wed Nov 11 00:31:06 2020  elapsed time 11:41:17 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.334).
Factorization parameters were as follows:
#
# N = 22x10^228+17 = 73(227)9
#
n: 724136796023830683650966064316513610480234356999440439748527039926269708041209966755538000724136796023830683650966064316513610480234356999440439748527039926269708041209966755538000724136796023830683650966064316513610480234357
m: 100000000000000000000000000000000000000
deg: 6
c6: 22
c0: 17
skew: 0.96
# Murphy_E = 1.747e-12
type: snfs
lss: 1
rlim: 47000000
alim: 47000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 47000000/47000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved  special-q in [100000, 93900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 20323624 hash collisions in 124132492 relations (107507200 unique)
Msieve: matrix is 4992878 x 4993103 (1772.0 MB)

Sieving start time: 2020/11/08 14:38:03
Sieving end time  : 2020/11/10 12:45:53

Total sieving time: 46hrs 7min 50secs.

Total relation processing time: 10hrs 41min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 19min 20sec.

Prototype def-par.txt line would be:
snfs,229,6,0,0,0,0,0,0,0,0,47000000,47000000,30,30,59,59,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118294] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16242460K/16727236K available (14339K kernel code, 2398K rwdata, 4956K rodata, 2716K init, 4988K bss, 484776K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798568)
[    0.152036] smpboot: Total of 16 processors activated (102388.54 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 07:36:48 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)

22×10251+173

c242

composite cofactor 合成数の残り
11591468826953773704033208551333164854590082530713196187507277380656669993818599873381636662274558861928528660065944059312561471386492191565545962073137329186511725813352643753459784173707638947791475594770892177024071501597282125024259664583<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352iveliveJanuary 21, 2021 12:49:05 UTC 2021 年 1 月 21 日 (木) 21 時 49 分 5 秒 (日本時間)

22×10252+173

c211

composite cofactor 合成数の残り
7302662410034522352541179715311827944275229329697906651918489297521123189761889979297828187110769762549319832035815488513037493288899822413852992796414587394467338658583984336663400631579633807789769632875712101<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 03:05:22 UTC 2021 年 5 月 13 日 (木) 12 時 5 分 22 秒 (日本時間)

22×10254+173

c220

composite cofactor 合成数の残り
1945167471042470614370809021518051583365053294671550385123549227555656172778669334405384799963818174735952859380021696547850925050521936745504289828587009200313372896255129890010985674334125370445981984514867321135022991<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 03:05:13 UTC 2021 年 5 月 13 日 (木) 12 時 5 分 13 秒 (日本時間)

22×10255+173

c256

composite cofactor 合成数の残り
7333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333339<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e60--
4511e64480iveliveJanuary 18, 2021 00:50:21 UTC 2021 年 1 月 18 日 (月) 9 時 50 分 21 秒 (日本時間)

22×10257+173

c202

composite cofactor 合成数の残り
2392608403867934196836138918382764785828934413750620850664332128836092414411783525518406530301142459662159652139940299790867300031066310955637018607296739360037265113023921234723473075144856448399164091<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 13, 2021 03:04:54 UTC 2021 年 5 月 13 日 (木) 12 時 4 分 54 秒 (日本時間)

22×10259+173

c130

name 名前Eric Jeancolas
date 日付January 18, 2021 06:00:39 UTC 2021 年 1 月 18 日 (月) 15 時 0 分 39 秒 (日本時間)
composite number 合成数
2637829976989786675496240580870912553653105660239201319634060610357349939736374260965082526506431144626433230573083885962215904087<130>
prime factors 素因数
2039666867190334425721188047702141160218269<43>
1293265100993393645783730201249219296974992146264430178014686310584964221172058923253123<88>
factorization results 素因数分解の結果
2637829976989786675496240580870912553653105660239201319634060610357349939736374260965082526506431144626433230573083885962215904087=2039666867190334425721188047702141160218269*1293265100993393645783730201249219296974992146264430178014686310584964221172058923253123

cado polynomial
n: 2637829976989786675496240580870912553653105660239201319634060610357349939736374260965082526506431144626433230573083885962215904087
skew: 58629.397
c0: 24834634534613035160217820125
c1: 9799776705507319719020415
c2: 91478870384077865437
c3: 321534998979724
c4: -32995708121
c5: 263340
Y0: -6350431284247040121255236
Y1: 1530890980787543623
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.707e-07
# f(x) = 263340*x^5-32995708121*x^4+321534998979724*x^3+91478870384077865437*x^2+9799776705507319719020415*x+24834634534613035160217820125
# g(x) = 1530890980787543623*x-6350431284247040121255236

cado parameters (extracts)
tasks.I = 14
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56

cado log (extracts)
Info:Square Root: Factors: 1293265100993393645783730201249219296974992146264430178014686310584964221172058923253123 2039666867190334425721188047702141160218269
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38293/37.690/46.196/50.200/0.853
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30291/36.430/41.463/47.020/0.977
Info:Polynomial Selection (size optimized): Total time: 10175.4
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 10804.6
Info:Polynomial Selection (root optimized): Rootsieve time: 10777
Info:Generate Factor Base: Total cpu/real time for makefb: 74.39/12.945
Info:Generate Free Relations: Total cpu/real time for freerel: 423.72/57.0699
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23900078
Info:Lattice Sieving: Average J: 7662.29 for 63983 special-q, max bucket fill -bkmult 1.0,1s:1.072550
Info:Lattice Sieving: Total time: 398775s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 98.22/292.45
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 291.09999999999997s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 675.44/872.507
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 789.3000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 480.34/633.732
Info:Filtering - Merging: Merged matrix has 1756062 rows and total weight 302072986 (172.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 404.42/70.6527
Info:Filtering - Merging: Total cpu/real time for replay: 87.99/68.9723
Info:Linear Algebra: Total cpu/real time for bwc: 114834/24284.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 15625.9, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.06, comm-wait 0.0 (55040 iterations)
Info:Linear Algebra: Lingen CPU time 569.91, WCT time 121.73
Info:Linear Algebra: Mksol: WCT time 8421.27, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.06, comm-wait 0.0 (27648 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 109.2/33.0667
Info:Square Root: Total cpu/real time for sqrt: 6751.23/1107.84
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 562392/98254.2
Info:root: Cleaning up computation data in /tmp/cado.bi4rv5eq
1293265100993393645783730201249219296974992146264430178014686310584964221172058923253123 2039666867190334425721188047702141160218269
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)

22×10261+173

c212

composite cofactor 合成数の残り
45376703020517446402636511105323932465173645296826384153806573163478232304995988654896468903630916801767559221646908959627081522475397954077583280270666420543892833001064311011626090081523476987374256132348048021<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 18, 2021 12:10:38 UTC 2021 年 5 月 18 日 (火) 21 時 10 分 38 秒 (日本時間)

22×10262+173

c260

composite cofactor 合成数の残り
43469670025686623196996640980043469670025686623196996640980043469670025686623196996640980043469670025686623196996640980043469670025686623196996640980043469670025686623196996640980043469670025686623196996640980043469670025686623196996640980043469670025686623197<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 18, 2021 12:10:49 UTC 2021 年 5 月 18 日 (火) 21 時 10 分 49 秒 (日本時間)

22×10263+173

c235

composite cofactor 合成数の残り
1984315293593159351970732357087324836672724235802476269823958110733125997782005689075558915642327549667998716073593637657304105793066199425635316593640871912109285880888440803848223396886986554108063794138743835281808350088991290529043<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 18, 2021 12:10:58 UTC 2021 年 5 月 18 日 (火) 21 時 10 分 58 秒 (日本時間)

22×10264+173

c230

composite cofactor 合成数の残り
17643072019576978133762024513715042997440859977710739724411356013636699960219887451099289310945988695081816523505911074458414305413682914688843847814859434437609891411866567023355889832452608725783949405225275657367216216380039991<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 18, 2021 12:11:08 UTC 2021 年 5 月 18 日 (火) 21 時 11 分 8 秒 (日本時間)

22×10266+173

c222

composite cofactor 合成数の残り
234998201928020958736696836128551804956586280853074478406054238098271456331534262425310388722458405814119869745529624804520378985803578915230123777482301395064992667025590510305782933597614835748528642300769449072026423889<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 18, 2021 12:11:16 UTC 2021 年 5 月 18 日 (火) 21 時 11 分 16 秒 (日本時間)

22×10269+173

c245

composite cofactor 合成数の残り
16453636427475885634852426264277449860039282682283289221652275328417761184317537354934352299438742301296844613364025242799532692941929867827213425189001033724009001085935734882375990980670998510920391642770624620423103319949362201547680239210801<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 18, 2021 12:11:33 UTC 2021 年 5 月 18 日 (火) 21 時 11 分 33 秒 (日本時間)

22×10271+173

c269

composite cofactor 合成数の残り
12039621299184589284737043725715536584031084113172440212335139276528211021726043889892190663820937995950309199365183604224812564986592239916817161932906474032725879713238110873967055218081322169320855907623269304438242215290319049964428391616045531658731461719476823729<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 18, 2021 12:11:44 UTC 2021 年 5 月 18 日 (火) 21 時 11 分 44 秒 (日本時間)

22×10274+173

c169

composite cofactor 合成数の残り
1291206532251373051000687969681518423221460823288718670629484847919356332055165477625165312685195854302156701036387534937258668763677468471460821057882675206627700880001<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352iveliveJanuary 21, 2021 13:44:33 UTC 2021 年 1 月 21 日 (木) 22 時 44 分 33 秒 (日本時間)
4511e60--
5043e62640 / 7465iveliveJanuary 21, 2021 13:48:45 UTC 2021 年 1 月 21 日 (木) 22 時 48 分 45 秒 (日本時間)

22×10277+173

c220

composite cofactor 合成数の残り
3595671681809980164789571273407056974238393011880509097526929256310297184590864928516681552223998190172232107383921770055595252722299267340152209486615197175136712610225541043670927123303830532514689899480399706960981739<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 18, 2021 12:12:19 UTC 2021 年 5 月 18 日 (火) 21 時 12 分 19 秒 (日本時間)

22×10279+173

c278

composite cofactor 合成数の残り
44989775051124744376278118609406952965235173824130879345603271983640081799591002044989775051124744376278118609406952965235173824130879345603271983640081799591002044989775051124744376278118609406952965235173824130879345603271983640081799591002044989775051124744376278118609406953<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 18, 2021 12:12:28 UTC 2021 年 5 月 18 日 (火) 21 時 12 分 28 秒 (日本時間)

22×10280+173

c277

composite cofactor 合成数の残り
6399627658027169328329988073421182767548069930476772260523024114960584111469878116182331209820519533408965296564563516304505919655583675131628705238967914594059981964685691014340983797306338540303109637257468656369083980568403292899322221252581667975681414899496756552346045321<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 18, 2021 12:12:38 UTC 2021 年 5 月 18 日 (火) 21 時 12 分 38 秒 (日本時間)

22×10282+173

c260

composite cofactor 合成数の残り
41117115690803896290320280814252870091910552558794784706628508442449986247933083731009858698255917056437949199387771383323496664055631656701012345371553052220951342879784491685507756889333945749623075973012355078296502179561836832653244053475855707192481917463<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 18, 2021 12:12:55 UTC 2021 年 5 月 18 日 (火) 21 時 12 分 55 秒 (日本時間)

22×10283+173

c196

composite cofactor 合成数の残り
4812596012054101501434843221520047341062724685813516604241095457487154037657665997103018725277040494423184338404726415933647948307326319404977728751238970496671462477525626744512611122392426123527<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 18, 2021 12:13:04 UTC 2021 年 5 月 18 日 (火) 21 時 13 分 4 秒 (日本時間)

22×10284+173

c223

composite cofactor 合成数の残り
1497504039207125903132943943730858478690140259528738868096279415560859816854942918671489028733066047787253550978433134762427298567423197991352040970767247634740732736895306832744212536225719473236201048388770199228120273629<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 18, 2021 12:13:22 UTC 2021 年 5 月 18 日 (火) 21 時 13 分 22 秒 (日本時間)

22×10285+173

c280

composite cofactor 合成数の残り
1490323768096679741548052136673799220736798458029739139824411408482638371650573540940853588357536530037170707036014960953855985814285471382294940086613552882411490179477659132199373074984353293984721336213451757169625873863196271643480954644502571587532845550364035290053924655869<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6120 / 902Eric JeancolasMay 18, 2021 12:13:14 UTC 2021 年 5 月 18 日 (火) 21 時 13 分 14 秒 (日本時間)

22×10288+173

c254

composite cofactor 合成数の残り
11400025175303181689672480332638948739989934083017415220584819921257568581965131325930490262042594907979966665457469736459374042271936794022473822492150976787318151218723822921460649703675938254594326859468168975104769376492008463842941451731633164338557<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 18, 2021 12:13:32 UTC 2021 年 5 月 18 日 (火) 21 時 13 分 32 秒 (日本時間)

22×10289+173

c281

composite cofactor 合成数の残り
29701712854564330521550076884078542943237256510172733439236113592582338946279728785122032605267788352689667559964716865472968786846767868240914205231685542693144649033384290928483702354170978114989118265141183616278728632594691575437879260234823418624884022962397988081683598034249<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 18, 2021 12:13:50 UTC 2021 年 5 月 18 日 (火) 21 時 13 分 50 秒 (日本時間)

22×10290+173

c279

composite cofactor 合成数の残り
647757035008968233909517780982627799916844401033986074521274723839721651724686836643175209904444472282947394716703473919211230252610121650685670655156039061213286801932602230908195929635366292110159371808606125442412259804337723810700264244018867932665435760254897514772914998769<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 18, 2021 12:13:59 UTC 2021 年 5 月 18 日 (火) 21 時 13 分 59 秒 (日本時間)

22×10291+173

c260

composite cofactor 合成数の残り
77450017562896233040526493225649508435852415052181058745903170802780504822432245157687273775173193766158330787483624733528572037355973584151701823563296366776631634314439907193466419215706703082607454110427940578883426972000059482346071365477140725201728840193<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 18, 2021 12:14:10 UTC 2021 年 5 月 18 日 (火) 21 時 14 分 10 秒 (日本時間)

22×10292+173

c271

composite cofactor 合成数の残り
2659769723040317803680983059610191381235129922750086958971141598180785139456164771705177728523547271337553157470550252805383543233414169536816744496013308203736370975886985794704443942410714634640702004915438259356657846084116789055365411466952205392622676761046217066273<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 18, 2021 12:14:20 UTC 2021 年 5 月 18 日 (火) 21 時 14 分 20 秒 (日本時間)

22×10293+173

c280

composite cofactor 合成数の残り
6865460522833701877793988647723533505567185526570852915022203956943132401725191591330787240671402046834342864392588001371451062687753914411864044116411669956601489286385244716590646179117455114901310201109716324628264884955033230138784691171494599624945337162975986083268723177397<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 18, 2021 12:14:33 UTC 2021 年 5 月 18 日 (火) 21 時 14 分 33 秒 (日本時間)

22×10296+173

c276

composite cofactor 合成数の残り
560974081724561030500072650004176663601118628119830403712606970609523977718576066974920982560063331428305955015264432689217502859818870695665970602334706454747583021974429849295884312432421953391521034715601086050667189974260299600709754988943356416696935294470343577347303803<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 18, 2021 12:14:44 UTC 2021 年 5 月 18 日 (火) 21 時 14 分 44 秒 (日本時間)

22×10298+173

c293

composite cofactor 合成数の残り
79427056537984004112877400366880794790451568088663701149201198482076743144091150490082990443119938104661032400101522219538550463438823295378031270432159004302419239832524440968909000782356506899142440511842393613775828685947945673337456319631805048455919969297832327317455864731390330911169141<293>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 18, 2021 12:14:53 UTC 2021 年 5 月 18 日 (火) 21 時 14 分 53 秒 (日本時間)

22×10299+173

c209

composite cofactor 合成数の残り
38415278154479064967624635234461689793933270105779329616023305057089698440888844684302926021704699894367690474896377524012726787353532249617873628340539137207807906382486968391376783661423174684612314425912993<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352iveliveJanuary 21, 2021 14:52:13 UTC 2021 年 1 月 21 日 (木) 23 時 52 分 13 秒 (日本時間)

22×10300+173

c235

composite cofactor 合成数の残り
4945892911351352455897903663417696679927173056150993600112142745930898383324818736556246784295787509517861129733193646095614365132287165378061465586959350899765182228576587994993697877686961324251472340949949241929230693765995465548109<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovMarch 19, 2021 13:53:59 UTC 2021 年 3 月 19 日 (金) 22 時 53 分 59 秒 (日本時間)
4511e62000Dmitry DomanovMarch 19, 2021 13:53:59 UTC 2021 年 3 月 19 日 (金) 22 時 53 分 59 秒 (日本時間)
5043e6640 / 7059Dmitry DomanovMay 15, 2021 11:26:58 UTC 2021 年 5 月 15 日 (土) 20 時 26 分 58 秒 (日本時間)