Table of contents 目次

17×10104-53

c102

name 名前Taiyo Kodama
date 日付April 24, 2022 15:50:29 UTC 2022 年 4 月 25 日 (月) 0 時 50 分 29 秒 (日本時間)
composite number 合成数
678642714570858283433133732534930139720558882235528942115768463073852295409181636726546906187624750499<102>
prime factors 素因数
2431553378443220827993870052113096561599376356599<49>
279098423496404136549156065823506667441878827402866101<54>
factorization results 素因数分解の結果
Mon Apr 25 00:47:43 2022 -> factmsieve.py (v0.86)
Mon Apr 25 00:47:43 2022 -> This is client 1 of 1
Mon Apr 25 00:47:43 2022 -> Running on 6 Cores with 1 hyper-thread per Core
Mon Apr 25 00:47:43 2022 -> Working with NAME = 56665_104
Mon Apr 25 00:47:43 2022 -> Selected lattice siever: gnfs-lasieve4I11e
Mon Apr 25 00:47:43 2022 -> Creating param file to detect parameter changes...
Mon Apr 25 00:47:43 2022 -> Running setup ...
Mon Apr 25 00:47:43 2022 -> Estimated minimum relations needed: 1.30102e+06
Mon Apr 25 00:47:43 2022 -> cleaning up before a restart
Mon Apr 25 00:47:43 2022 -> Running lattice siever ...
Mon Apr 25 00:47:43 2022 -> entering sieving loop
Mon Apr 25 00:49:04 2022 Found 1330159 relations, 102.2% of the estimated minimum (1301025).
Mon Apr 25 00:49:04 2022 -> msieve-1.53-SVN998-win64-core2 -s 56665_104\56665_104.dat -l 56665_104\56665_104.log -i 56665_104\56665_104.ini -nf 56665_104\56665_104.fb -t 6 -nc1
Mon Apr 25 00:49:04 2022  
Mon Apr 25 00:49:04 2022  
Mon Apr 25 00:49:04 2022  Msieve v. 1.53 (SVN unknown)
Mon Apr 25 00:49:04 2022  random seeds: ce175f20 592c57d9
Mon Apr 25 00:49:04 2022  factoring 678642714570858283433133732534930139720558882235528942115768463073852295409181636726546906187624750499 (102 digits)
Mon Apr 25 00:49:04 2022  searching for 15-digit factors
Mon Apr 25 00:49:04 2022  commencing number field sieve (102-digit input)
Mon Apr 25 00:49:04 2022  R0: -100000000000000000000000000
Mon Apr 25 00:49:04 2022  R1: 1
Mon Apr 25 00:49:04 2022  A0: -5
Mon Apr 25 00:49:04 2022  A1: 0
Mon Apr 25 00:49:04 2022  A2: 0
Mon Apr 25 00:49:04 2022  A3: 0
Mon Apr 25 00:49:04 2022  A4: 17
Mon Apr 25 00:49:04 2022  skew 0.74, size 6.829e-11, alpha 0.270, combined = 2.457e-07 rroots = 2
Mon Apr 25 00:49:04 2022  
Mon Apr 25 00:49:04 2022  commencing relation filtering
Mon Apr 25 00:49:04 2022  estimated available RAM is 32684.9 MB
Mon Apr 25 00:49:04 2022  commencing duplicate removal, pass 1
Mon Apr 25 00:49:16 2022  skipped 1 relations with composite factors
Mon Apr 25 00:49:16 2022  found 89002 hash collisions in 1330157 relations
Mon Apr 25 00:49:16 2022  added 170768 free relations
Mon Apr 25 00:49:16 2022  commencing duplicate removal, pass 2
Mon Apr 25 00:49:17 2022  found 70908 duplicates and 1430017 unique relations
Mon Apr 25 00:49:17 2022  memory use: 6.1 MB
Mon Apr 25 00:49:17 2022  reading ideals above 30000
Mon Apr 25 00:49:17 2022  commencing singleton removal, initial pass
Mon Apr 25 00:49:28 2022  memory use: 47.1 MB
Mon Apr 25 00:49:28 2022  reading all ideals from disk
Mon Apr 25 00:49:28 2022  memory use: 40.9 MB
Mon Apr 25 00:49:28 2022  keeping 1766567 ideals with weight <= 200, target excess is 7488
Mon Apr 25 00:49:28 2022  commencing in-memory singleton removal
Mon Apr 25 00:49:28 2022  begin with 1430017 relations and 1766567 unique ideals
Mon Apr 25 00:49:28 2022  reduce to 453818 relations and 316464 ideals in 9 passes
Mon Apr 25 00:49:28 2022  max relations containing the same ideal: 90
Mon Apr 25 00:49:28 2022  removing 169130 relations and 104796 ideals in 64334 cliques
Mon Apr 25 00:49:28 2022  commencing in-memory singleton removal
Mon Apr 25 00:49:28 2022  begin with 284688 relations and 316464 unique ideals
Mon Apr 25 00:49:28 2022  reduce to 266738 relations and 191226 ideals in 6 passes
Mon Apr 25 00:49:28 2022  max relations containing the same ideal: 62
Mon Apr 25 00:49:28 2022  removing 114314 relations and 63878 ideals in 50436 cliques
Mon Apr 25 00:49:28 2022  commencing in-memory singleton removal
Mon Apr 25 00:49:28 2022  begin with 152424 relations and 191226 unique ideals
Mon Apr 25 00:49:28 2022  reduce to 143353 relations and 117323 ideals in 5 passes
Mon Apr 25 00:49:28 2022  max relations containing the same ideal: 44
Mon Apr 25 00:49:28 2022  removing 40645 relations and 23302 ideals in 17343 cliques
Mon Apr 25 00:49:28 2022  commencing in-memory singleton removal
Mon Apr 25 00:49:28 2022  begin with 102708 relations and 117323 unique ideals
Mon Apr 25 00:49:28 2022  reduce to 96636 relations and 87371 ideals in 6 passes
Mon Apr 25 00:49:28 2022  max relations containing the same ideal: 30
Mon Apr 25 00:49:28 2022  relations with 0 large ideals: 375
Mon Apr 25 00:49:28 2022  relations with 1 large ideals: 155
Mon Apr 25 00:49:28 2022  relations with 2 large ideals: 1753
Mon Apr 25 00:49:28 2022  relations with 3 large ideals: 8176
Mon Apr 25 00:49:28 2022  relations with 4 large ideals: 19890
Mon Apr 25 00:49:28 2022  relations with 5 large ideals: 30457
Mon Apr 25 00:49:28 2022  relations with 6 large ideals: 22352
Mon Apr 25 00:49:28 2022  relations with 7+ large ideals: 13478
Mon Apr 25 00:49:28 2022  commencing 2-way merge
Mon Apr 25 00:49:28 2022  reduce to 78442 relation sets and 69177 unique ideals
Mon Apr 25 00:49:28 2022  commencing full merge
Mon Apr 25 00:49:29 2022  memory use: 8.2 MB
Mon Apr 25 00:49:29 2022  found 34525 cycles, need 33377
Mon Apr 25 00:49:29 2022  weight of 33377 cycles is about 2388537 (71.56/cycle)
Mon Apr 25 00:49:29 2022  distribution of cycle lengths:
Mon Apr 25 00:49:29 2022  1 relations: 1534
Mon Apr 25 00:49:29 2022  2 relations: 2266
Mon Apr 25 00:49:29 2022  3 relations: 3019
Mon Apr 25 00:49:29 2022  4 relations: 3205
Mon Apr 25 00:49:29 2022  5 relations: 3148
Mon Apr 25 00:49:29 2022  6 relations: 2902
Mon Apr 25 00:49:29 2022  7 relations: 2553
Mon Apr 25 00:49:29 2022  8 relations: 2328
Mon Apr 25 00:49:29 2022  9 relations: 2102
Mon Apr 25 00:49:29 2022  10+ relations: 10320
Mon Apr 25 00:49:29 2022  heaviest cycle: 24 relations
Mon Apr 25 00:49:29 2022  commencing cycle optimization
Mon Apr 25 00:49:29 2022  start with 256564 relations
Mon Apr 25 00:49:29 2022  pruned 15820 relations
Mon Apr 25 00:49:29 2022  memory use: 6.5 MB
Mon Apr 25 00:49:29 2022  distribution of cycle lengths:
Mon Apr 25 00:49:29 2022  1 relations: 1534
Mon Apr 25 00:49:29 2022  2 relations: 2337
Mon Apr 25 00:49:29 2022  3 relations: 3211
Mon Apr 25 00:49:29 2022  4 relations: 3437
Mon Apr 25 00:49:29 2022  5 relations: 3395
Mon Apr 25 00:49:29 2022  6 relations: 3067
Mon Apr 25 00:49:29 2022  7 relations: 2800
Mon Apr 25 00:49:29 2022  8 relations: 2472
Mon Apr 25 00:49:29 2022  9 relations: 2135
Mon Apr 25 00:49:29 2022  10+ relations: 8989
Mon Apr 25 00:49:29 2022  heaviest cycle: 24 relations
Mon Apr 25 00:49:29 2022  RelProcTime: 25
Mon Apr 25 00:49:29 2022  elapsed time 00:00:25
Mon Apr 25 00:49:29 2022 LatSieveTime: 37.1311
Mon Apr 25 00:49:29 2022 -> Running matrix solving step ...
Mon Apr 25 00:49:29 2022 -> msieve-1.53-SVN998-win64-core2 -s 56665_104\56665_104.dat -l 56665_104\56665_104.log -i 56665_104\56665_104.ini -nf 56665_104\56665_104.fb -t 6 -nc2
Mon Apr 25 00:49:29 2022  
Mon Apr 25 00:49:29 2022  
Mon Apr 25 00:49:29 2022  Msieve v. 1.53 (SVN unknown)
Mon Apr 25 00:49:29 2022  random seeds: 164e7258 9c9b174b
Mon Apr 25 00:49:29 2022  factoring 678642714570858283433133732534930139720558882235528942115768463073852295409181636726546906187624750499 (102 digits)
Mon Apr 25 00:49:29 2022  searching for 15-digit factors
Mon Apr 25 00:49:30 2022  commencing number field sieve (102-digit input)
Mon Apr 25 00:49:30 2022  R0: -100000000000000000000000000
Mon Apr 25 00:49:30 2022  R1: 1
Mon Apr 25 00:49:30 2022  A0: -5
Mon Apr 25 00:49:30 2022  A1: 0
Mon Apr 25 00:49:30 2022  A2: 0
Mon Apr 25 00:49:30 2022  A3: 0
Mon Apr 25 00:49:30 2022  A4: 17
Mon Apr 25 00:49:30 2022  skew 0.74, size 6.829e-11, alpha 0.270, combined = 2.457e-07 rroots = 2
Mon Apr 25 00:49:30 2022  
Mon Apr 25 00:49:30 2022  commencing linear algebra
Mon Apr 25 00:49:30 2022  read 33377 cycles
Mon Apr 25 00:49:30 2022  cycles contain 91147 unique relations
Mon Apr 25 00:49:30 2022  read 91147 relations
Mon Apr 25 00:49:30 2022  using 20 quadratic characters above 4294917295
Mon Apr 25 00:49:31 2022  building initial matrix
Mon Apr 25 00:49:31 2022  memory use: 10.9 MB
Mon Apr 25 00:49:31 2022  read 33377 cycles
Mon Apr 25 00:49:31 2022  matrix is 33200 x 33377 (9.7 MB) with weight 2978432 (89.24/col)
Mon Apr 25 00:49:31 2022  sparse part has weight 2180810 (65.34/col)
Mon Apr 25 00:49:31 2022  filtering completed in 2 passes
Mon Apr 25 00:49:31 2022  matrix is 33180 x 33357 (9.7 MB) with weight 2976922 (89.24/col)
Mon Apr 25 00:49:31 2022  sparse part has weight 2179840 (65.35/col)
Mon Apr 25 00:49:31 2022  matrix starts at (0, 0)
Mon Apr 25 00:49:31 2022  matrix is 33180 x 33357 (9.7 MB) with weight 2976922 (89.24/col)
Mon Apr 25 00:49:31 2022  sparse part has weight 2179840 (65.35/col)
Mon Apr 25 00:49:31 2022  saving the first 48 matrix rows for later
Mon Apr 25 00:49:31 2022  matrix includes 64 packed rows
Mon Apr 25 00:49:31 2022  matrix is 33132 x 33357 (9.0 MB) with weight 2324766 (69.69/col)
Mon Apr 25 00:49:31 2022  sparse part has weight 2033317 (60.96/col)
Mon Apr 25 00:49:31 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Mon Apr 25 00:49:32 2022  commencing Lanczos iteration
Mon Apr 25 00:49:32 2022  memory use: 6.4 MB
Mon Apr 25 00:49:33 2022  lanczos halted after 526 iterations (dim = 33132)
Mon Apr 25 00:49:33 2022  recovered 36 nontrivial dependencies
Mon Apr 25 00:49:33 2022  BLanczosTime: 3
Mon Apr 25 00:49:33 2022  elapsed time 00:00:04
Mon Apr 25 00:49:33 2022 -> Running square root step ...
Mon Apr 25 00:49:33 2022 -> msieve-1.53-SVN998-win64-core2 -s 56665_104\56665_104.dat -l 56665_104\56665_104.log -i 56665_104\56665_104.ini -nf 56665_104\56665_104.fb -t 6 -nc3
Mon Apr 25 00:49:33 2022  
Mon Apr 25 00:49:33 2022  
Mon Apr 25 00:49:33 2022  Msieve v. 1.53 (SVN unknown)
Mon Apr 25 00:49:33 2022  random seeds: 6bb6c2e0 147113c3
Mon Apr 25 00:49:33 2022  factoring 678642714570858283433133732534930139720558882235528942115768463073852295409181636726546906187624750499 (102 digits)
Mon Apr 25 00:49:34 2022  searching for 15-digit factors
Mon Apr 25 00:49:34 2022  commencing number field sieve (102-digit input)
Mon Apr 25 00:49:34 2022  R0: -100000000000000000000000000
Mon Apr 25 00:49:34 2022  R1: 1
Mon Apr 25 00:49:34 2022  A0: -5
Mon Apr 25 00:49:34 2022  A1: 0
Mon Apr 25 00:49:34 2022  A2: 0
Mon Apr 25 00:49:34 2022  A3: 0
Mon Apr 25 00:49:34 2022  A4: 17
Mon Apr 25 00:49:34 2022  skew 0.74, size 6.829e-11, alpha 0.270, combined = 2.457e-07 rroots = 2
Mon Apr 25 00:49:34 2022  
Mon Apr 25 00:49:34 2022  commencing square root phase
Mon Apr 25 00:49:34 2022  reading relations for dependency 1
Mon Apr 25 00:49:34 2022  read 16717 cycles
Mon Apr 25 00:49:34 2022  cycles contain 45602 unique relations
Mon Apr 25 00:49:34 2022  read 45602 relations
Mon Apr 25 00:49:34 2022  multiplying 45602 relations
Mon Apr 25 00:49:35 2022  multiply complete, coefficients have about 0.99 million bits
Mon Apr 25 00:49:35 2022  initial square root is modulo 1659811429
Mon Apr 25 00:49:35 2022  sqrtTime: 1
Mon Apr 25 00:49:35 2022  p49 factor: 2431553378443220827993870052113096561599376356599
Mon Apr 25 00:49:35 2022  p54 factor: 279098423496404136549156065823506667441878827402866101
Mon Apr 25 00:49:35 2022  elapsed time 00:00:02
Mon Apr 25 00:49:35 2022 -> Computing time scale for this machine...
Mon Apr 25 00:49:35 2022 -> procrels -speedtest> PIPE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10110-53

c108

name 名前Dmitry Domanov
date 日付April 24, 2022 16:14:38 UTC 2022 年 4 月 25 日 (月) 1 時 14 分 38 秒 (日本時間)
composite number 合成数
357518401682439537329127234490010515247108307045215562565720294426919032597266035751840168243953732912723449<108>
prime factors 素因数
53546705859760972488711401633939054706080591<44>
6676758092622571389669474929448406757590445271380726007360784439<64>
factorization results 素因数分解の結果
N=357518401682439537329127234490010515247108307045215562565720294426919032597266035751840168243953732912723449
  ( 108 digits)
SNFS difficulty: 110 digits.
Divisors found:
p44 factor: 53546705859760972488711401633939054706080591
p64 factor: 6676758092622571389669474929448406757590445271380726007360784439
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.31 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 357518401682439537329127234490010515247108307045215562565720294426919032597266035751840168243953732912723449
m: 1000000000000000000000000000
deg: 4
c4: 340
c0: -1
skew: 0.23
# Murphy_E = 1.28e-07
type: snfs
lss: 1
rlim: 490000
alim: 490000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 490000/490000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [245000, 425001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 47130 x 47357
Total sieving time: 0.30 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,110.000,4,0,0,0,0,0,0,0,0,490000,490000,25,25,44,44,2.2,2.2,20000
total time: 0.31 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10130-53

c74

name 名前Ignacio Santos
date 日付April 24, 2022 15:29:07 UTC 2022 年 4 月 25 日 (月) 0 時 29 分 7 秒 (日本時間)
composite number 合成数
14268756351070312836310699328203987231330521041463869175402564671902250657<74>
prime factors 素因数
26992383487890901977561824851901899<35>
528621577915542113576814661697648431043<39>
factorization results 素因数分解の結果
prp39 = 528621577915542113576814661697648431043
prp35 = 26992383487890901977561824851901899
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10132-53

c100

name 名前Dmitry Domanov
date 日付April 25, 2022 00:30:50 UTC 2022 年 4 月 25 日 (月) 9 時 30 分 50 秒 (日本時間)
composite number 合成数
2802786908248216627220537083884926501103882215818333045762545821916182221099600396330872821741900149<100>
prime factors 素因数
1562886310166925309863651009033332501<37>
1793340238516045835870999679266201027360433602424304543781607649<64>
factorization results 素因数分解の結果
N=2802786908248216627220537083884926501103882215818333045762545821916182221099600396330872821741900149
  ( 100 digits)
Divisors found:
p37 factor: 1562886310166925309863651009033332501
p64 factor: 1793340238516045835870999679266201027360433602424304543781607649
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.77 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2802786908248216627220537083884926501103882215818333045762545821916182221099600396330872821741900149
skew: 420360.55
c0: 77818012747453667662950600
c1: -464320038177800464290
c2: -9135718245296449
c3: 6781186640
c4: 17520
Y0: -632431292508940362288173
Y1: 9692791783829
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
lss: 0
type: gnfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [900000, 1200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 206145 x 206374
Total sieving time: 2.71 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,99,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,52,52,2.5,2.5,100000
total time: 2.77 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
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10136-53

c131

name 名前Dmitry Domanov
date 日付April 25, 2022 10:33:25 UTC 2022 年 4 月 25 日 (月) 19 時 33 分 25 秒 (日本時間)
composite number 合成数
11297441362125859477772450258860932151886789004665511004870858615511852178960774951313011894544365882923286053541232836611418855629<131>
prime factors 素因数
932468478268153745114680085757538449910867693554597523<54>
12115628169124027385947654166594697793153821150352033710498098000810081896223<77>
factorization results 素因数分解の結果
N=11297441362125859477772450258860932151886789004665511004870858615511852178960774951313011894544365882923286053541232836611418855629
  ( 131 digits)
SNFS difficulty: 137 digits.
Divisors found:
p54 factor: 932468478268153745114680085757538449910867693554597523
p77 factor: 12115628169124027385947654166594697793153821150352033710498098000810081896223
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 4.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 11297441362125859477772450258860932151886789004665511004870858615511852178960774951313011894544365882923286053541232836611418855629
m: 10000000000000000000000000000000000
deg: 4
c4: 17
c0: -5
skew: 0.74
# Murphy_E = 7.413e-09
type: snfs
lss: 1
rlim: 1360000
alim: 1360000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1360000/1360000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [680000, 1480001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 166425 x 166651
Total sieving time: 3.92 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,137.000,4,0,0,0,0,0,0,0,0,1360000,1360000,26,26,48,48,2.3,2.3,100000
total time: 4.01 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
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10142-53

c97

name 名前Ignacio Santos
date 日付April 24, 2022 16:08:49 UTC 2022 年 4 月 25 日 (月) 1 時 8 分 49 秒 (日本時間)
composite number 合成数
3121790747124048918137972564457928498462329395840947599908441084889377617081241636948834552274059<97>
prime factors 素因数
23964468360196213578689001626535151<35>
130267473502946037020918282030479359129387002547346112361052709<63>
factorization results 素因数分解の結果
prp63 = 130267473502946037020918282030479359129387002547346112361052709
prp35 = 23964468360196213578689001626535151
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10144-53

c111

name 名前ebina
date 日付April 25, 2022 09:07:32 UTC 2022 年 4 月 25 日 (月) 18 時 7 分 32 秒 (日本時間)
composite number 合成数
651742989167522177062613013231850579482250002785830435502024548531794682107182464248580054786525632791133090493<111>
prime factors 素因数
126371086981073557688497287335334458075812880198881<51>
5157374243881695210616253065017026318325984936681563149845853<61>
factorization results 素因数分解の結果
Mon Apr 25 15:17:57 2022  
Mon Apr 25 15:17:57 2022  
Mon Apr 25 15:17:57 2022  Msieve v. 1.53 (SVN unknown)
Mon Apr 25 15:17:57 2022  random seeds: c3b836d4 5bc619c1
Mon Apr 25 15:17:57 2022  factoring 651742989167522177062613013231850579482250002785830435502024548531794682107182464248580054786525632791133090493 (111 digits)
Mon Apr 25 15:17:58 2022  searching for 15-digit factors
Mon Apr 25 15:17:58 2022  commencing number field sieve (111-digit input)
Mon Apr 25 15:17:58 2022  R0: -1000000000000000000000000000000000000
Mon Apr 25 15:17:58 2022  R1: 1
Mon Apr 25 15:17:58 2022  A0: -5
Mon Apr 25 15:17:58 2022  A1: 0
Mon Apr 25 15:17:58 2022  A2: 0
Mon Apr 25 15:17:58 2022  A3: 0
Mon Apr 25 15:17:58 2022  A4: 17
Mon Apr 25 15:17:58 2022  skew 0.74, size 6.829e-15, alpha 0.270, combined = 2.942e-09 rroots = 2
Mon Apr 25 15:17:58 2022  
Mon Apr 25 15:17:58 2022  commencing square root phase
Mon Apr 25 15:17:58 2022  reading relations for dependency 1
Mon Apr 25 15:17:58 2022  read 135059 cycles
Mon Apr 25 15:17:59 2022  cycles contain 450188 unique relations
Mon Apr 25 15:18:04 2022  read 450188 relations
Mon Apr 25 15:18:05 2022  multiplying 450188 relations
Mon Apr 25 15:18:12 2022  multiply complete, coefficients have about 11.29 million bits
Mon Apr 25 15:18:12 2022  initial square root is modulo 3065053
Mon Apr 25 15:18:21 2022  GCD is N, no factor found
Mon Apr 25 15:18:21 2022  reading relations for dependency 2
Mon Apr 25 15:18:21 2022  read 134801 cycles
Mon Apr 25 15:18:21 2022  cycles contain 450334 unique relations
Mon Apr 25 15:18:26 2022  read 450334 relations
Mon Apr 25 15:18:28 2022  multiplying 450334 relations
Mon Apr 25 15:18:34 2022  multiply complete, coefficients have about 11.29 million bits
Mon Apr 25 15:18:34 2022  initial square root is modulo 3081497
Mon Apr 25 15:18:43 2022  sqrtTime: 45
Mon Apr 25 15:18:43 2022  p51 factor: 126371086981073557688497287335334458075812880198881
Mon Apr 25 15:18:43 2022  p61 factor: 5157374243881695210616253065017026318325984936681563149845853
Mon Apr 25 15:18:43 2022  elapsed time 00:00:46

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10150-53

c136

name 名前Taiyo Kodama
date 日付April 30, 2022 03:35:59 UTC 2022 年 4 月 30 日 (土) 12 時 35 分 59 秒 (日本時間)
composite number 合成数
5854052154786933447681284894231940829089501769839782202728799456698322331404541978439228408003651241290680513327981763172140830364492987<136>
prime factors 素因数
2011542331996907633654385914067753341<37>
6519043267682641810936288318527651757<37>
446419901464248956827151490898914655778822265253969724259268051<63>
factorization results 素因数分解の結果
Sat Apr 30 12:33:46 2022  Msieve v. 1.53 (SVN unknown)
Sat Apr 30 12:33:46 2022  random seeds: 7e247e48 10e59981
Sat Apr 30 12:33:46 2022  factoring 5854052154786933447681284894231940829089501769839782202728799456698322331404541978439228408003651241290680513327981763172140830364492987 (136 digits)
Sat Apr 30 12:33:46 2022  searching for 15-digit factors
Sat Apr 30 12:33:47 2022  commencing number field sieve (136-digit input)
Sat Apr 30 12:33:47 2022  R0: -1000000000000000000000000000000
Sat Apr 30 12:33:47 2022  R1: 1
Sat Apr 30 12:33:47 2022  A0: -5
Sat Apr 30 12:33:47 2022  A1: 0
Sat Apr 30 12:33:47 2022  A2: 0
Sat Apr 30 12:33:47 2022  A3: 0
Sat Apr 30 12:33:47 2022  A4: 0
Sat Apr 30 12:33:47 2022  A5: 17
Sat Apr 30 12:33:47 2022  skew 0.78, size 2.143e-10, alpha -0.263, combined = 1.902e-09 rroots = 1
Sat Apr 30 12:33:47 2022  
Sat Apr 30 12:33:47 2022  commencing square root phase
Sat Apr 30 12:33:47 2022  reading relations for dependency 1
Sat Apr 30 12:33:47 2022  read 150020 cycles
Sat Apr 30 12:33:47 2022  cycles contain 506884 unique relations
Sat Apr 30 12:33:51 2022  read 506884 relations
Sat Apr 30 12:33:52 2022  multiplying 506884 relations
Sat Apr 30 12:33:59 2022  multiply complete, coefficients have about 12.60 million bits
Sat Apr 30 12:33:59 2022  initial square root is modulo 17425361
Sat Apr 30 12:34:06 2022  found factor: 2011542331996907633654385914067753341
Sat Apr 30 12:34:06 2022  reading relations for dependency 2
Sat Apr 30 12:34:06 2022  read 150008 cycles
Sat Apr 30 12:34:06 2022  cycles contain 506462 unique relations
Sat Apr 30 12:34:11 2022  read 506462 relations
Sat Apr 30 12:34:12 2022  multiplying 506462 relations
Sat Apr 30 12:34:18 2022  multiply complete, coefficients have about 12.59 million bits
Sat Apr 30 12:34:18 2022  initial square root is modulo 17200621
Sat Apr 30 12:34:26 2022  sqrtTime: 39
Sat Apr 30 12:34:26 2022  p37 factor: 2011542331996907633654385914067753341
Sat Apr 30 12:34:26 2022  p37 factor: 6519043267682641810936288318527651757
Sat Apr 30 12:34:26 2022  p63 factor: 446419901464248956827151490898914655778822265253969724259268051
Sat Apr 30 12:34:26 2022  elapsed time 00:00:40
Sat Apr 30 12:34:26 2022 -> Computing time scale for this machine...
Sat Apr 30 12:34:26 2022 -> procrels -speedtest> PIPE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10154-53

c92

name 名前Ignacio Santos
date 日付April 24, 2022 15:41:33 UTC 2022 年 4 月 25 日 (月) 0 時 41 分 33 秒 (日本時間)
composite number 合成数
53242030574841770380258097361009195602554956053176429248679166129614422166664235374664410971<92>
prime factors 素因数
253827151653486442801687863400491038911747<42>
209757034375603073815826283796728010055849323835593<51>
factorization results 素因数分解の結果
prp42 = 253827151653486442801687863400491038911747
prp51 = 209757034375603073815826283796728010055849323835593
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10156-53

c132

name 名前Taiyo Kodama
date 日付April 30, 2022 11:18:51 UTC 2022 年 4 月 30 日 (土) 20 時 18 分 51 秒 (日本時間)
composite number 合成数
974081839587410693753767823598312857843790968408183781711500330335188848812781008417057109037055327572671471317219324689745304045869<132>
prime factors 素因数
335307711843050833624391186356925758102028437667<48>
2905038581526434075615065942517246693451757499245807334653795247863642360709429146607<85>
factorization results 素因数分解の結果
Sat Apr 30 20:15:07 2022  Msieve v. 1.53 (SVN unknown)
Sat Apr 30 20:15:07 2022  random seeds: f33e9c80 c169882a
Sat Apr 30 20:15:07 2022  factoring 974081839587410693753767823598312857843790968408183781711500330335188848812781008417057109037055327572671471317219324689745304045869 (132 digits)
Sat Apr 30 20:15:07 2022  searching for 15-digit factors
Sat Apr 30 20:15:07 2022  commencing number field sieve (132-digit input)
Sat Apr 30 20:15:07 2022  R0: -10000000000000000000000000000000
Sat Apr 30 20:15:07 2022  R1: 1
Sat Apr 30 20:15:07 2022  A0: -1
Sat Apr 30 20:15:07 2022  A1: 0
Sat Apr 30 20:15:07 2022  A2: 0
Sat Apr 30 20:15:07 2022  A3: 0
Sat Apr 30 20:15:07 2022  A4: 0
Sat Apr 30 20:15:07 2022  A5: 34
Sat Apr 30 20:15:07 2022  skew 0.49, size 9.686e-11, alpha 0.044, combined = 1.204e-09 rroots = 1
Sat Apr 30 20:15:07 2022  
Sat Apr 30 20:15:07 2022  commencing square root phase
Sat Apr 30 20:15:07 2022  reading relations for dependency 1
Sat Apr 30 20:15:07 2022  read 200605 cycles
Sat Apr 30 20:15:07 2022  cycles contain 680910 unique relations
Sat Apr 30 20:15:13 2022  read 680910 relations
Sat Apr 30 20:15:15 2022  multiplying 680910 relations
Sat Apr 30 20:15:25 2022  multiply complete, coefficients have about 17.52 million bits
Sat Apr 30 20:15:25 2022  initial square root is modulo 107951
Sat Apr 30 20:15:37 2022  sqrtTime: 30
Sat Apr 30 20:15:37 2022  p48 factor: 335307711843050833624391186356925758102028437667
Sat Apr 30 20:15:37 2022  p85 factor: 2905038581526434075615065942517246693451757499245807334653795247863642360709429146607
Sat Apr 30 20:15:37 2022  elapsed time 00:00:30
Sat Apr 30 20:15:37 2022 -> Computing time scale for this machine...
Sat Apr 30 20:15:37 2022 -> procrels -speedtest> PIPE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10158-53

c148

name 名前Bob Backstrom
date 日付April 26, 2022 13:51:35 UTC 2022 年 4 月 26 日 (火) 22 時 51 分 35 秒 (日本時間)
composite number 合成数
1145095747542461065881863368232265985811264174286021610369695149604448663722927609672487659938901049611678966332551304044839826142925679369834500041<148>
prime factors 素因数
9529863218782446467235689004787176152549164357599943<52>
120158676074761195410837318928007574273258678125071381270092900009433765503042258414129917135087<96>
factorization results 素因数分解の結果
Number: n
N=1145095747542461065881863368232265985811264174286021610369695149604448663722927609672487659938901049611678966332551304044839826142925679369834500041  ( 148 digits)
SNFS difficulty: 158 digits.
Divisors found:

Tue Apr 26 23:46:18 2022  p52 factor: 9529863218782446467235689004787176152549164357599943
Tue Apr 26 23:46:18 2022  p96 factor: 120158676074761195410837318928007574273258678125071381270092900009433765503042258414129917135087
Tue Apr 26 23:46:18 2022  elapsed time 00:06:59 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 17x10^158-5 = 56(157)5
#
n: 1145095747542461065881863368232265985811264174286021610369695149604448663722927609672487659938901049611678966332551304044839826142925679369834500041
m: 10000000000000000000000000000000
deg: 5
c5: 3400
c0: -1
skew: 0.20
# Murphy_E = 8.926e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2053324 hash collisions in 17952067 relations (17074621 unique)
Msieve: matrix is 599996 x 600237 (73.0 MB)

Sieving start time : 2022/04/26 23:17:26
Sieving end time  : 2022/04/26 23:38:56

Total sieving time: 0hrs 21min 30secs.

Total relation processing time: 0hrs 2min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 19sec.

Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10160-53

c151

name 名前Bob Backstrom
date 日付April 25, 2022 05:10:23 UTC 2022 年 4 月 25 日 (月) 14 時 10 分 23 秒 (日本時間)
composite number 合成数
1897216836341221667930439908682853446510696623444411644373969029109300749270741221938853004138209307626977515583355883806101446856971283565873518578747<151>
prime factors 素因数
37544402310513354205959367226093997177187317520189825121437699302035229839<74>
50532615239155222480868764152802552333838041364746583282599456269641601479573<77>
factorization results 素因数分解の結果
Number: n
N=1897216836341221667930439908682853446510696623444411644373969029109300749270741221938853004138209307626977515583355883806101446856971283565873518578747  ( 151 digits)
SNFS difficulty: 161 digits.
Divisors found:

Mon Apr 25 15:06:52 2022  p74 factor: 37544402310513354205959367226093997177187317520189825121437699302035229839
Mon Apr 25 15:06:52 2022  p77 factor: 50532615239155222480868764152802552333838041364746583282599456269641601479573
Mon Apr 25 15:06:52 2022  elapsed time 00:06:46 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 17x10^160-5 = 56(159)5
#
n: 1897216836341221667930439908682853446510696623444411644373969029109300749270741221938853004138209307626977515583355883806101446856971283565873518578747
m: 100000000000000000000000000000000
deg: 5
c5: 17
c0: -5
skew: 0.78
# Murphy_E = 7.842e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1521926 hash collisions in 15849108 relations (15390056 unique)
Msieve: matrix is 381771 x 381996 (129.8 MB)

Sieving start time : 2022/04/25 14:34:04
Sieving end time  : 2022/04/25 14:59:33

Total sieving time: 0hrs 25min 29secs.

Total relation processing time: 0hrs 2min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 34sec.

Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10162-53

c121

name 名前Ignacio Santos
date 日付May 2, 2022 22:10:29 UTC 2022 年 5 月 3 日 (火) 7 時 10 分 29 秒 (日本時間)
composite number 合成数
1461518698931060950046666123723453342163248138614764405305855751910487692992842812211935065114903566586839391909861080681<121>
prime factors 素因数
63506161372964273718024023406513693926754068322029217727<56>
23013809484527528126993596217551149853906040001937033458109932503<65>
factorization results 素因数分解の結果
N=1461518698931060950046666123723453342163248138614764405305855751910487692992842812211935065114903566586839391909861080681
  ( 121 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=63506161372964273718024023406513693926754068322029217727 (pp56)
 r2=23013809484527528126993596217551149853906040001937033458109932503 (pp65)
Version: Msieve v. 1.52 (SVN 927)
Total time: 15.02 hours.
Scaled time: 113.69 units (timescale=7.570).
Factorization parameters were as follows:
n: 1461518698931060950046666123723453342163248138614764405305855751910487692992842812211935065114903566586839391909861080681
m: 100000000000000000000000000000000
deg: 5
c5: 340
c0: -1
skew: 0.31
# Murphy_E = 6.511e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 2900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 574807 x 575034
Total sieving time: 14.88 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 15.02 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62078Taiyo KodamaMay 1, 2022 07:21:44 UTC 2022 年 5 月 1 日 (日) 16 時 21 分 44 秒 (日本時間)

17×10164-53

c165

name 名前Bob Backstrom
date 日付April 24, 2022 21:15:07 UTC 2022 年 4 月 25 日 (月) 6 時 15 分 7 秒 (日本時間)
composite number 合成数
113333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<165>
prime factors 素因数
106868214367297076444300520685307869499<39>
1060496182183939052605765632238601834643328900976503978069979338524363792521309088368588375415859654914921945688627226404373167<127>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 113333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 (165 digits)
Using B1=10780000, B2=35133391030, polynomial Dickson(12), sigma=1:3197567971
Step 1 took 25775ms
Step 2 took 11741ms
********** Factor found in step 2: 106868214367297076444300520685307869499
Found prime factor of 39 digits: 106868214367297076444300520685307869499
Prime cofactor 1060496182183939052605765632238601834643328900976503978069979338524363792521309088368588375415859654914921945688627226404373167 has 127 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10168-53

c113

name 名前Ignacio Santos
date 日付April 25, 2022 17:06:52 UTC 2022 年 4 月 26 日 (火) 2 時 6 分 52 秒 (日本時間)
composite number 合成数
25785506839835940463433345409030453782848452619167191145325090571692716646631545893950212615201477886344841730617<113>
prime factors 素因数
13092881440222252730857045482562799484893<41>
1969429491709979875955433639385213029752698133326414249352575463391661069<73>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2959893003
Step 1 took 3562ms
Step 2 took 2594ms
********** Factor found in step 2: 13092881440222252730857045482562799484893
Found prime factor of 41 digits: 13092881440222252730857045482562799484893
Prime cofactor 1969429491709979875955433639385213029752698133326414249352575463391661069 has 73 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10169-53

c140

name 名前Taiyo Kodama
date 日付May 8, 2022 01:21:26 UTC 2022 年 5 月 8 日 (日) 10 時 21 分 26 秒 (日本時間)
composite number 合成数
13344766011537746776964629240663615642496100615784032211410129966066718917493586013201438112123071184124206608606669778180217460298117304801<140>
prime factors 素因数
69560009935947911810255705575421653666833527<44>
66359972535718308451805252904938594091408147343<47>
2890980286563479418117013664599424189969161289641<49>
factorization results 素因数分解の結果
Sun May  8 03:23:10 2022  Msieve v. 1.53 (SVN unknown)
Sun May  8 03:23:10 2022  random seeds: f90c79fc 89f96c92
Sun May  8 03:23:10 2022  factoring 13344766011537746776964629240663615642496100615784032211410129966066718917493586013201438112123071184124206608606669778180217460298117304801 (140 digits)
Sun May  8 03:23:10 2022  searching for 15-digit factors
Sun May  8 03:23:10 2022  commencing number field sieve (140-digit input)
Sun May  8 03:23:10 2022  R0: -1000000000000000000000000000000000
Sun May  8 03:23:10 2022  R1: 1
Sun May  8 03:23:10 2022  A0: -1
Sun May  8 03:23:10 2022  A1: 0
Sun May  8 03:23:10 2022  A2: 0
Sun May  8 03:23:10 2022  A3: 0
Sun May  8 03:23:10 2022  A4: 0
Sun May  8 03:23:10 2022  A5: 34000
Sun May  8 03:23:10 2022  skew 0.12, size 7.273e-12, alpha -0.938, combined = 2.712e-10 rroots = 1
Sun May  8 03:23:10 2022  
Sun May  8 03:23:10 2022  commencing square root phase
Sun May  8 03:23:10 2022  reading relations for dependency 1
Sun May  8 03:23:11 2022  read 356218 cycles
Sun May  8 03:23:11 2022  cycles contain 1165400 unique relations
Sun May  8 03:23:20 2022  read 1165400 relations
Sun May  8 03:23:23 2022  multiplying 1165400 relations
Sun May  8 03:23:48 2022  multiply complete, coefficients have about 41.10 million bits
Sun May  8 03:23:48 2022  initial square root is modulo 795001
Sun May  8 03:24:17 2022  found factor: 66359972535718308451805252904938594091408147343
Sun May  8 03:24:17 2022  reading relations for dependency 2
Sun May  8 03:24:17 2022  read 356809 cycles
Sun May  8 03:24:18 2022  cycles contain 1165394 unique relations
Sun May  8 03:24:27 2022  read 1165394 relations
Sun May  8 03:24:30 2022  multiplying 1165394 relations
Sun May  8 03:24:54 2022  multiply complete, coefficients have about 41.09 million bits
Sun May  8 03:24:54 2022  initial square root is modulo 794831
Sun May  8 03:25:23 2022  found factor: 66359972535718308451805252904938594091408147343
Sun May  8 03:25:23 2022  reading relations for dependency 3
Sun May  8 03:25:23 2022  read 357735 cycles
Sun May  8 03:25:24 2022  cycles contain 1167944 unique relations
Sun May  8 03:25:33 2022  read 1167944 relations
Sun May  8 03:25:37 2022  multiplying 1167944 relations
Sun May  8 03:26:01 2022  multiply complete, coefficients have about 41.19 million bits
Sun May  8 03:26:01 2022  initial square root is modulo 819691
Sun May  8 03:26:30 2022  sqrtTime: 200
Sun May  8 03:26:30 2022  p44 factor: 69560009935947911810255705575421653666833527
Sun May  8 03:26:30 2022  p47 factor: 66359972535718308451805252904938594091408147343
Sun May  8 03:26:30 2022  p49 factor: 2890980286563479418117013664599424189969161289641
Sun May  8 03:26:30 2022  elapsed time 00:03:20
Sun May 08 03:26:30 2022 -> Computing time scale for this machine...
Sun May 08 03:26:30 2022 -> procrels -speedtest> PIPE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 28, 2022 17:44:16 UTC 2022 年 4 月 29 日 (金) 2 時 44 分 16 秒 (日本時間)

17×10172-53

c120

name 名前Ignacio Santos
date 日付April 25, 2022 17:08:06 UTC 2022 年 4 月 26 日 (火) 2 時 8 分 6 秒 (日本時間)
composite number 合成数
147423653473484895389792976249473219288979942076310067329155875037650004321523257220317640661511277040460649495964386473<120>
prime factors 素因数
168818444704808969899798676798669245489<39>
873267454461303768229863064914549233990248283399133222660560155365878160041982457<81>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2552341713
Step 1 took 4812ms
Step 2 took 2907ms
********** Factor found in step 2: 168818444704808969899798676798669245489
Found prime factor of 39 digits: 168818444704808969899798676798669245489
Prime cofactor 873267454461303768229863064914549233990248283399133222660560155365878160041982457 has 81 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10175-53

c132

name 名前Eric Jeancolas
date 日付June 23, 2022 10:09:46 UTC 2022 年 6 月 23 日 (木) 19 時 9 分 46 秒 (日本時間)
composite number 合成数
457855518684134060704646823071009995134157024328489819230170684792621347835125740332319562081265673431906617244671031162503409271579<132>
prime factors 素因数
174739536310861556833368840464304197262257412931<48>
2620217086244347690343732107183468057898340673342376180447958605510896461080835899209<85>
factorization results 素因数分解の結果
457855518684134060704646823071009995134157024328489819230170684792621347835125740332319562081265673431906617244671031162503409271579=
174739536310861556833368840464304197262257412931*2620217086244347690343732107183468057898340673342376180447958605510896461080835899209

cado polynomial
n: 457855518684134060704646823071009995134157024328489819230170684792621347835125740332319562081265673431906617244671031162503409271579
skew: 0.78
type: snfs
c0: -5
c5: 17
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 17*x^5-5
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6100000
tasks.lim1 = 6100000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
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: 2620217086244347690343732107183468057898340673342376180447958605510896461080835899209 174739536310861556833368840464304197262257412931
Info:Square Root: Total cpu/real time for sqrt: 138.26/44.2076
Info:Filtering - Singleton removal: Total cpu/real time for purge: 151.99/142.856
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22434619
Info:Lattice Sieving: Average J: 1893.33 for 511330 special-q, max bucket fill -bkmult 1.0,1s:1.204250
Info:Lattice Sieving: Total time: 87435.9s
Info:Linear Algebra: Total cpu/real time for bwc: 7660.39/1971.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4810.99, WCT time 1231.85, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (22272 iterations)
Info:Linear Algebra: Lingen CPU time 121.73, WCT time 30.93
Info:Linear Algebra: Mksol: CPU time 2617.82,  WCT time 669.29, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11264 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.33/32.0367
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 88.73/99.2201
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 99.1s
Info:Filtering - Merging: Merged matrix has 707375 rows and total weight 120540405 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 159/44.3971
Info:Filtering - Merging: Total cpu/real time for replay: 24.1/20.127
Info:Generate Factor Base: Total cpu/real time for makefb: 2.61/1.42223
Info:Quadratic Characters: Total cpu/real time for characters: 23.54/9.27948
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 213.2/180.096
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 164.2s
Info:Square Root: Total cpu/real time for sqrt: 138.26/44.2076
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 171159/46537.6
Info:root: Cleaning up computation data in /tmp/cado.rsypawj8
2620217086244347690343732107183468057898340673342376180447958605510896461080835899209 174739536310861556833368840464304197262257412931
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 25, 2022 22:08:20 UTC 2022 年 4 月 26 日 (火) 7 時 8 分 20 秒 (日本時間)

17×10176-53

c146

name 名前Bob Backstrom
date 日付April 29, 2022 18:21:16 UTC 2022 年 4 月 30 日 (土) 3 時 21 分 16 秒 (日本時間)
composite number 合成数
27762692846733441575520472938611377138024204040489199325560350510804144383325063854363930907303706644403973119151984686645663962126183865184128857<146>
prime factors 素因数
561983087808809584342387609960210946341948883507829604341604049454833<69>
49401295962448065491617867519937592259400079948663462829510748126353456733929<77>
factorization results 素因数分解の結果
Number: n
N=27762692846733441575520472938611377138024204040489199325560350510804144383325063854363930907303706644403973119151984686645663962126183865184128857  ( 146 digits)
SNFS difficulty: 176 digits.
Divisors found:

Sat Apr 30 04:17:11 2022  p69 factor: 561983087808809584342387609960210946341948883507829604341604049454833
Sat Apr 30 04:17:11 2022  p77 factor: 49401295962448065491617867519937592259400079948663462829510748126353456733929
Sat Apr 30 04:17:11 2022  elapsed time 00:16:37 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 17x10^176-5 = 56(175)5
#
n: 27762692846733441575520472938611377138024204040489199325560350510804144383325063854363930907303706644403973119151984686645663962126183865184128857
m: 100000000000000000000000000000000000
deg: 5
c5: 34
c0: -1
skew: 0.49
# Murphy_E = 1.965e-10
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4052323 hash collisions in 31916059 relations (29680113 unique)
Msieve: matrix is 707429 x 707654 (239.8 MB)

Sieving start time : 2022/04/30 02:50:57
Sieving end time  : 2022/04/30 04:00:06

Total sieving time: 1hrs 9min 9secs.

Total relation processing time: 0hrs 7min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 50sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 26, 2022 11:41:23 UTC 2022 年 4 月 26 日 (火) 20 時 41 分 23 秒 (日本時間)

17×10177-53

c138

name 名前Eric Jeancolas
date 日付June 24, 2022 07:04:13 UTC 2022 年 6 月 24 日 (金) 16 時 4 分 13 秒 (日本時間)
composite number 合成数
663951245464850804189205293143996008811490725124763429210801141688795694255397027066783582617482476913491421595253213201413079319623340393<138>
prime factors 素因数
4185988351952934675180832063562425106839126320714134500845998051<64>
158612779023881040688198064280486781996767463159963171001848558762868114243<75>
factorization results 素因数分解の結果
663951245464850804189205293143996008811490725124763429210801141688795694255397027066783582617482476913491421595253213201413079319623340393=4185988351952934675180832063562425106839126320714134500845998051*158612779023881040688198064280486781996767463159963171001848558762868114243

cado polynomial
n: 663951245464850804189205293143996008811490725124763429210801141688795694255397027066783582617482476913491421595253213201413079319623340393
skew: 0.31
type: snfs
c0: -1
c5: 340
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 340*x^5-1
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6400000
tasks.lim1 = 6400000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
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: 4185988351952934675180832063562425106839126320714134500845998051 158612779023881040688198064280486781996767463159963171001848558762868114243
Info:Square Root: Total cpu/real time for sqrt: 174.89/55.6932
Info:Filtering - Singleton removal: Total cpu/real time for purge: 147.62/139.978
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22443950
Info:Lattice Sieving: Average J: 1894.39 for 594592 special-q, max bucket fill -bkmult 1.0,1s:1.244980
Info:Lattice Sieving: Total time: 101036s
Info:Linear Algebra: Total cpu/real time for bwc: 9387.15/2412.73
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5910.68, WCT time 1511.0, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24576 iterations)
Info:Linear Algebra: Lingen CPU time 144.44, WCT time 36.72
Info:Linear Algebra: Mksol: CPU time 3209.5,  WCT time 820.59, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12288 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.16/102.784
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 102.7s
Info:Generate Free Relations: Total cpu/real time for freerel: 117.31/32.0055
Info:Filtering - Merging: Merged matrix has 779064 rows and total weight 133086775 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 177.92/49.724
Info:Filtering - Merging: Total cpu/real time for replay: 26.5/22.1937
Info:Generate Factor Base: Total cpu/real time for makefb: 2.7/1.48659
Info:Quadratic Characters: Total cpu/real time for characters: 25.87/10.1758
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 213.85/179.397
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 162.3s
Info:Square Root: Total cpu/real time for sqrt: 174.89/55.6932
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 198440/53842.6
Info:root: Cleaning up computation data in /tmp/cado.f5h7x6vk
4185988351952934675180832063562425106839126320714134500845998051 158612779023881040688198064280486781996767463159963171001848558762868114243
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 28, 2022 18:52:02 UTC 2022 年 4 月 29 日 (金) 3 時 52 分 2 秒 (日本時間)

17×10178-53

c139

name 名前Eric Jeancolas
date 日付June 24, 2022 13:35:07 UTC 2022 年 6 月 24 日 (金) 22 時 35 分 7 秒 (日本時間)
composite number 合成数
1370675714150261294000705530225632592284817680315744720344275506769801294819974044895773287222087673256515775775751700979645390882740955997<139>
prime factors 素因数
156290736935021128970407506182505642417001781567560328447<57>
8770038077945262150706512838175169126898978246860580180995380223896539347114271651<82>
factorization results 素因数分解の結果
1370675714150261294000705530225632592284817680315744720344275506769801294819974044895773287222087673256515775775751700979645390882740955997=156290736935021128970407506182505642417001781567560328447*8770038077945262150706512838175169126898978246860580180995380223896539347114271651

cado polynomial
n: 1370675714150261294000705530225632592284817680315744720344275506769801294819974044895773287222087673256515775775751700979645390882740955997
skew: 0.20
type: snfs
c0: -1
c5: 3400
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 3400*x^5-1
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6600000
tasks.lim1 = 6600000
tasks.lpb0 = 28
tasks.lpb1 = 28
asks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
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: 156290736935021128970407506182505642417001781567560328447 8770038077945262150706512838175169126898978246860580180995380223896539347114271651
Info:Square Root: Total cpu/real time for sqrt: 192.94/61.6469
Info:Filtering - Singleton removal: Total cpu/real time for purge: 138.99/135.572
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22420099
Info:Lattice Sieving: Average J: 1893.79 for 656170 special-q, max bucket fill -bkmult 1.0,1s:1.164960
Info:Lattice Sieving: Total time: 111141s
Info:Linear Algebra: Total cpu/real time for bwc: 10548.3/2710.92
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6649.35, WCT time 1700.81, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26112 iterations)
Info:Linear Algebra: Lingen CPU time 146.7, WCT time 37.28
Info:Linear Algebra: Mksol: CPU time 3620.52,  WCT time 924.94, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13056 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.79/32.3117
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.94/104.13
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 104.0s
Info:Filtering - Merging: Merged matrix has 830131 rows and total weight 141365042 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 193.95/53.9039
Info:Filtering - Merging: Total cpu/real time for replay: 28.19/23.7129
Info:Generate Factor Base: Total cpu/real time for makefb: 2.86/1.54509
Info:Quadratic Characters: Total cpu/real time for characters: 27.51/10.8463
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 214.92/183.276
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 166.6s
Info:Square Root: Total cpu/real time for sqrt: 192.94/61.6469
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 218396/59135.9
Info:root: Cleaning up computation data in /tmp/cado.qitt1sdm
156290736935021128970407506182505642417001781567560328447 8770038077945262150706512838175169126898978246860580180995380223896539347114271651
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 28, 2022 19:45:41 UTC 2022 年 4 月 29 日 (金) 4 時 45 分 41 秒 (日本時間)

17×10180-53

c132

name 名前Ignacio Santos
date 日付April 28, 2022 19:46:24 UTC 2022 年 4 月 29 日 (金) 4 時 46 分 24 秒 (日本時間)
composite number 合成数
184364555380278479193112082370867212021828538226184347673658809426233747431223929591968173676072972751099859576649541871624879273667<132>
prime factors 素因数
1006942258555800083507136970854793137892877<43>
183093473149793174661704678506588948440322055932307141063095769027135093324960775709152271<90>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3612026820
Step 1 took 4844ms
Step 2 took 3000ms
********** Factor found in step 2: 1006942258555800083507136970854793137892877
Found prime factor of 43 digits: 1006942258555800083507136970854793137892877
Prime cofactor 183093473149793174661704678506588948440322055932307141063095769027135093324960775709152271 has 90 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10181-53

c144

name 名前Ignacio Santos
date 日付April 28, 2022 19:47:16 UTC 2022 年 4 月 29 日 (金) 4 時 47 分 16 秒 (日本時間)
composite number 合成数
295941775609277043187952322450892718230293507175099181248230184742861024489027923977006798324839974560468956003782161187274001612511943557820929<144>
prime factors 素因数
1147388308814613931430588476735071467461<40>
composite cofactor 合成数の残り
257926434613073097715339654429267206482309820920377997786790978276274952758465713714689479194291402782989<105>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1322648622
Step 1 took 3469ms
Step 2 took 2609ms
********** Factor found in step 2: 1147388308814613931430588476735071467461
Found prime factor of 40 digits: 1147388308814613931430588476735071467461
Composite cofactor 257926434613073097715339654429267206482309820920377997786790978276274952758465713714689479194291402782989 has 105 digits
 
software ソフトウェア
GMP-ECM

c105

name 名前Eric Jeancolas
date 日付April 30, 2022 20:11:27 UTC 2022 年 5 月 1 日 (日) 5 時 11 分 27 秒 (日本時間)
composite number 合成数
257926434613073097715339654429267206482309820920377997786790978276274952758465713714689479194291402782989<105>
prime factors 素因数
949405214059729102701887846877468010579329901<45>
271671601117672392255258765561647145473068997179059908601889<60>
factorization results 素因数分解の結果
257926434613073097715339654429267206482309820920377997786790978276274952758465713714689479194291402782989=949405214059729102701887846877468010579329901*271671601117672392255258765561647145473068997179059908601889

cado polynomial
n: 257926434613073097715339654429267206482309820920377997786790978276274952758465713714689479194291402782989
skew: 1986.386
c0: 7843103950454308513551
c1: 15329603749346674753
c2: -11318124056555202
c3: -3375954321238
c4: 3030328836
c5: 57600
Y0: 64426780171900640426
Y1: 16680438121439927
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.426e-06
# f(x) = 57600*x^5+3030328836*x^4-3375954321238*x^3-11318124056555202*x^2+15329603749346674753*x+7843103950454308513551
# g(x) = 16680438121439927*x+64426780171900640426

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 271671601117672392255258765561647145473068997179059908601889 949405214059729102701887846877468010579329901
Info:Square Root: Total cpu/real time for sqrt: 69.04/20.2599
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 60.05/58.8537
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 45.69999999999999s
Info:Square Root: Total cpu/real time for sqrt: 69.04/20.2599
Info:Filtering - Singleton removal: Total cpu/real time for purge: 36.91/43.5471
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4933315
Info:Lattice Sieving: Average J: 1893.11 for 52472 special-q, max bucket fill -bkmult 1.0,1s:1.282640
Info:Lattice Sieving: Total time: 4923.73s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.51/0.425811
Info:Linear Algebra: Total cpu/real time for bwc: 632.78/164.66
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 374.4, WCT time 96.07, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7296 iterations)
Info:Linear Algebra: Lingen CPU time 32.58, WCT time 8.34
Info:Linear Algebra: Mksol: CPU time 208.88,  WCT time 53.65, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3712 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.47/16.3245
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 18.65/19.6331
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.3s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 145.55
Info:Polynomial Selection (root optimized): Rootsieve time: 144.96
Info:Filtering - Merging: Merged matrix has 230110 rows and total weight 33423869 (145.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 30.42/9.39291
Info:Filtering - Merging: Total cpu/real time for replay: 7.45/5.92209
Info:Quadratic Characters: Total cpu/real time for characters: 8.75/3.34901
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9790/29.550/36.906/42.060/1.053
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7493/29.550/32.740/37.300/0.847
Info:Polynomial Selection (size optimized): Total time: 498.91
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 10390.5/2983.52
Info:root: Cleaning up computation data in /tmp/cado._aosp8y_
271671601117672392255258765561647145473068997179059908601889 949405214059729102701887846877468010579329901
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 29, 2022 17:10:08 UTC 2022 年 4 月 30 日 (土) 2 時 10 分 8 秒 (日本時間)

17×10182-53

c169

name 名前Bob Backstrom
date 日付April 29, 2022 13:52:35 UTC 2022 年 4 月 29 日 (金) 22 時 52 分 35 秒 (日本時間)
composite number 合成数
1340904359116602098341099502774539786547593489663358628536187399410992838810781016477387681893963708374339789264271850744050182784023350081761070443664992034768836225869<169>
prime factors 素因数
42237089502202424554831968347382520765803931247751591146854330451<65>
31747082361029671436165005972650054464060348987435045959143512942783494671241683074333832221869109412319<104>
factorization results 素因数分解の結果
Number: n
N=1340904359116602098341099502774539786547593489663358628536187399410992838810781016477387681893963708374339789264271850744050182784023350081761070443664992034768836225869  ( 169 digits)
SNFS difficulty: 182 digits.
Divisors found:

Fri Apr 29 23:48:57 2022  p65 factor: 42237089502202424554831968347382520765803931247751591146854330451
Fri Apr 29 23:48:57 2022  p104 factor: 31747082361029671436165005972650054464060348987435045959143512942783494671241683074333832221869109412319
Fri Apr 29 23:48:57 2022  elapsed time 00:20:19 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 17x10^182-5 = 56(181)5
#
n: 1340904359116602098341099502774539786547593489663358628536187399410992838810781016477387681893963708374339789264271850744050182784023350081761070443664992034768836225869
m: 1000000000000000000000000000000000000
deg: 5
c5: 340
c0: -1
skew: 0.31
# Murphy_E = 1.041e-10
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3299557 hash collisions in 31305927 relations (29980536 unique)
Msieve: matrix is 800433 x 800664 (272.3 MB)

Sieving start time : 2022/04/29 21:02:12
Sieving end time  : 2022/04/29 23:28:09

Total sieving time: 2hrs 25min 57secs.

Total relation processing time: 0hrs 9min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 24sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7700000,7700000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 28, 2022 19:48:57 UTC 2022 年 4 月 29 日 (金) 4 時 48 分 57 秒 (日本時間)

17×10185-53

c168

name 名前Bob Backstrom
date 日付May 1, 2022 23:29:17 UTC 2022 年 5 月 2 日 (月) 8 時 29 分 17 秒 (日本時間)
composite number 合成数
472864875198133452357914519281227374697150271264008108618151154348842220410147681575853030390495491111882235409306805378849281284559323540945116395113449808074443226151<168>
prime factors 素因数
94712450908247001786144149480295850322747016351017277123007<59>
4992636877871768463638574206417991290688230371728605372521793421645871539020396465658697517539928723917469593<109>
factorization results 素因数分解の結果
Number: n
N=472864875198133452357914519281227374697150271264008108618151154348842220410147681575853030390495491111882235409306805378849281284559323540945116395113449808074443226151  ( 168 digits)
SNFS difficulty: 186 digits.
Divisors found:

Mon May  2 09:24:47 2022  p59 factor: 94712450908247001786144149480295850322747016351017277123007
Mon May  2 09:24:47 2022  p109 factor: 4992636877871768463638574206417991290688230371728605372521793421645871539020396465658697517539928723917469593
Mon May  2 09:24:47 2022  elapsed time 00:20:41 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 17x10^185-5 = 56(184)5
#
n: 472864875198133452357914519281227374697150271264008108618151154348842220410147681575853030390495491111882235409306805378849281284559323540945116395113449808074443226151
m: 10000000000000000000000000000000000000
deg: 5
c5: 17
c0: -5
skew: 0.78
# Murphy_E = 7.877e-11
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 10050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2867640 hash collisions in 29546566 relations (28569360 unique)
Msieve: matrix is 916653 x 916879 (317.1 MB)

Sieving start time : 2022/05/02 06:28:18
Sieving end time  : 2022/05/02 09:03:08

Total sieving time: 2hrs 34min 50secs.

Total relation processing time: 0hrs 12min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 58sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8900000,8900000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 30, 2022 15:32:12 UTC 2022 年 5 月 1 日 (日) 0 時 32 分 12 秒 (日本時間)

17×10191-53

c175

name 名前Bob Backstrom
date 日付May 2, 2022 07:03:55 UTC 2022 年 5 月 2 日 (月) 16 時 3 分 55 秒 (日本時間)
composite number 合成数
1497759187732471590306981657989173074094843442585098524814207260883989426671222313226783770861676156167811157617553815157090139744558610979864753377391793366539941621359851497<175>
prime factors 素因数
686287063566753216381642685763827584523<39>
504490491789973917318256191729080916411340348144145467<54>
4325966922362655185603274420626420541260198016415144593125903983498036209245752417<82>
factorization results 素因数分解の結果
Number: n
N=1497759187732471590306981657989173074094843442585098524814207260883989426671222313226783770861676156167811157617553815157090139744558610979864753377391793366539941621359851497  ( 175 digits)
SNFS difficulty: 191 digits.
Divisors found:

Mon May  2 16:58:28 2022  found factor: 4325966922362655185603274420626420541260198016415144593125903983498036209245752417
Mon May  2 16:59:38 2022  p39 factor: 686287063566753216381642685763827584523
Mon May  2 16:59:38 2022  p54 factor: 504490491789973917318256191729080916411340348144145467
Mon May  2 16:59:38 2022  p82 factor: 4325966922362655185603274420626420541260198016415144593125903983498036209245752417
Mon May  2 16:59:38 2022  elapsed time 00:34:17 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 17x10^191-5 = 56(190)5
#
n: 1497759187732471590306981657989173074094843442585098524814207260883989426671222313226783770861676156167811157617553815157090139744558610979864753377391793366539941621359851497
m: 100000000000000000000000000000000000000
deg: 5
c5: 34
c0: -1
skew: 0.49
# Murphy_E = 4.812e-11
type: snfs
lss: 1
rlim: 10900000
alim: 10900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10900000/10900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3313931 hash collisions in 30239742 relations (28769746 unique)
Msieve: matrix is 1112503 x 1112729 (385.7 MB)

Sieving start time : 2022/05/02 12:38:17
Sieving end time  : 2022/05/02 16:24:46

Total sieving time: 3hrs 46min 29secs.

Total relation processing time: 0hrs 20min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 49sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10900000,10900000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

17×10192-53

c187

name 名前Bob Backstrom
date 日付May 3, 2022 16:34:54 UTC 2022 年 5 月 4 日 (水) 1 時 34 分 54 秒 (日本時間)
composite number 合成数
1534698402424101264817174538992398277707286973705651165761420300177979876492889155505121153154324306147053898156511251370508242458875725088572410004608609026102962915818632953856584239821<187>
prime factors 素因数
74966949756924331078415947790791641967507577<44>
20471666613091039727959294575130007010620890637455567408093837712109101750829790114957738508170683414804675580585768005417788364746154586077173<143>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1534698402424101264817174538992398277707286973705651165761420300177979876492889155505121153154324306147053898156511251370508242458875725088572410004608609026102962915818632953856584239821 (187 digits)
Using B1=29150000, B2=144288594466, polynomial Dickson(12), sigma=1:1234386626
Step 1 took 52594ms
Step 2 took 17204ms
********** Factor found in step 2: 74966949756924331078415947790791641967507577
Found prime factor of 44 digits: 74966949756924331078415947790791641967507577
Prime cofactor 20471666613091039727959294575130007010620890637455567408093837712109101750829790114957738508170683414804675580585768005417788364746154586077173 has 143 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 2, 2022 16:03:03 UTC 2022 年 5 月 3 日 (火) 1 時 3 分 3 秒 (日本時間)

17×10194-53

c174

name 名前Bob Backstrom
date 日付May 4, 2022 03:33:32 UTC 2022 年 5 月 4 日 (水) 12 時 33 分 32 秒 (日本時間)
composite number 合成数
258336529088759112430283189699001983334425351286954795825454133162911303211044834599250124644849884652568683970042647267814837271370384901291997758490881328916307126750005553<174>
prime factors 素因数
698730445972307625843536947153737567533947794432675671<54>
369722731531005323683847789567260874413707298135931795093706782741959679757607798204638564014103819124880886772467842743<120>
factorization results 素因数分解の結果
Number: n
N=258336529088759112430283189699001983334425351286954795825454133162911303211044834599250124644849884652568683970042647267814837271370384901291997758490881328916307126750005553  ( 174 digits)
SNFS difficulty: 194 digits.
Divisors found:

Wed May  4 13:29:54 2022  p54 factor: 698730445972307625843536947153737567533947794432675671
Wed May  4 13:29:54 2022  p120 factor: 369722731531005323683847789567260874413707298135931795093706782741959679757607798204638564014103819124880886772467842743
Wed May  4 13:29:54 2022  elapsed time 00:48:19 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.323).
Factorization parameters were as follows:
#
# N = 17x10^194-5 = 56(193)5
#
n: 258336529088759112430283189699001983334425351286954795825454133162911303211044834599250124644849884652568683970042647267814837271370384901291997758490881328916307126750005553
m: 100000000000000000000000000000000000000
deg: 5
c5: 34000
c0: -1
skew: 0.12
# Murphy_E = 2.639e-11
type: snfs
lss: 1
rlim: 12200000
alim: 12200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12200000/12200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3354204 hash collisions in 29191328 relations (27547971 unique)
Msieve: matrix is 1427108 x 1427333 (495.9 MB)

Sieving start time : 2022/05/04 07:29:33
Sieving end time  : 2022/05/04 12:41:06

Total sieving time: 5hrs 11min 33secs.

Total relation processing time: 0hrs 37min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 8sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12200000,12200000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 2, 2022 16:48:05 UTC 2022 年 5 月 3 日 (火) 1 時 48 分 5 秒 (日本時間)

17×10197-53

c171

name 名前Bob Backstrom
date 日付May 6, 2022 01:11:27 UTC 2022 年 5 月 6 日 (金) 10 時 11 分 27 秒 (日本時間)
composite number 合成数
169488450851854436852314075337837594181826133699232692207959757838030972211156804683148312249072512835357503644345713353611658963503878803042625080585902427524830854182741<171>
prime factors 素因数
22655271796256364420268183290028815143903303544314823884434330588759178313607417<80>
7481192561982915407184756970061730144004269322985929260289947317611459098862433328536998973<91>
factorization results 素因数分解の結果
Number: n
N=169488450851854436852314075337837594181826133699232692207959757838030972211156804683148312249072512835357503644345713353611658963503878803042625080585902427524830854182741  ( 171 digits)
SNFS difficulty: 197 digits.
Divisors found:

Fri May  6 11:06:52 2022  p80 factor: 22655271796256364420268183290028815143903303544314823884434330588759178313607417
Fri May  6 11:06:52 2022  p91 factor: 7481192561982915407184756970061730144004269322985929260289947317611459098862433328536998973
Fri May  6 11:06:52 2022  elapsed time 00:52:24 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 17x10^197-5 = 56(196)5
#
n: 169488450851854436852314075337837594181826133699232692207959757838030972211156804683148312249072512835357503644345713353611658963503878803042625080585902427524830854182741
m: 1000000000000000000000000000000000000000
deg: 5
c5: 340
c0: -1
skew: 0.31
# Murphy_E = 2.513e-11
type: snfs
lss: 1
rlim: 13700000
alim: 13700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13700000/13700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3535886 hash collisions in 30198479 relations (28430585 unique)
Msieve: matrix is 1486424 x 1486649 (519.7 MB)

Sieving start time : 2022/05/06 04:51:58
Sieving end time  : 2022/05/06 10:13:55

Total sieving time: 5hrs 21min 57secs.

Total relation processing time: 0hrs 42min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 56sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13700000,13700000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 4, 2022 19:35:30 UTC 2022 年 5 月 5 日 (木) 4 時 35 分 30 秒 (日本時間)

17×10198-53

c165

name 名前Bob Backstrom
date 日付September 6, 2022 18:43:43 UTC 2022 年 9 月 7 日 (水) 3 時 43 分 43 秒 (日本時間)
composite number 合成数
142911868190866097773699780103408760180200511543130529459570981135189527288991685433892955479552261185660753157690185502363370353281620360390612267421943056684348019<165>
prime factors 素因数
1819676645916970687314361339897000213513114393415541787628361665205389584853130581<82>
78536957932352871121721235817395892295976720325337116592611320424378688054035730599<83>
factorization results 素因数分解の結果
Number: n
N=142911868190866097773699780103408760180200511543130529459570981135189527288991685433892955479552261185660753157690185502363370353281620360390612267421943056684348019  ( 165 digits)
SNFS difficulty: 198 digits.
Divisors found:

Tue Sep  6 23:32:40 2022  p82 factor: 1819676645916970687314361339897000213513114393415541787628361665205389584853130581
Tue Sep  6 23:32:40 2022  p83 factor: 78536957932352871121721235817395892295976720325337116592611320424378688054035730599
Tue Sep  6 23:32:40 2022  elapsed time 01:02:24 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.356).
Factorization parameters were as follows:
#
# N = 17x10^198-5 = 56(197)5
#
n: 142911868190866097773699780103408760180200511543130529459570981135189527288991685433892955479552261185660753157690185502363370353281620360390612267421943056684348019
m: 1000000000000000000000000000000000000000
deg: 5
c5: 3400
c0: -1
skew: 0.20
# Murphy_E = 2.197e-11
type: snfs
lss: 1
rlim: 14300000
alim: 14300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14300000/14300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3191287 hash collisions in 27949097 relations (26330285 unique)
Msieve: matrix is 1653945 x 1654170 (579.2 MB)

Sieving start time : 2022/09/06 16:42:40
Sieving end time  : 2022/09/06 21:51:43

Total sieving time: 5hrs 9min 3secs.

Total relation processing time: 0hrs 52min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 20sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14300000,14300000,28,28,55,55,2.5,2.5,100000
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
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosAugust 19, 2022 15:24:48 UTC 2022 年 8 月 20 日 (土) 0 時 24 分 48 秒 (日本時間)

17×10199-53

c136

name 名前Eric Jeancolas
date 日付May 9, 2022 08:02:43 UTC 2022 年 5 月 9 日 (月) 17 時 2 分 43 秒 (日本時間)
composite number 合成数
3093728729842399544248572446919313109869298650105288252826028076594841146142737567456347874979323203198066543109454687319836092909919177<136>
prime factors 素因数
8738860739943113222883564241190500834876418048244520971588537613<64>
354019685392370560099613046262506951033395764639431466798851470821126829<72>
factorization results 素因数分解の結果
3093728729842399544248572446919313109869298650105288252826028076594841146142737567456347874979323203198066543109454687319836092909919177=8738860739943113222883564241190500834876418048244520971588537613*354019685392370560099613046262506951033395764639431466798851470821126829

cado polynomial
n: 3093728729842399544248572446919313109869298650105288252826028076594841146142737567456347874979323203198066543109454687319836092909919177
skew: 67548.26
c0: -12669335102615334158042305755
c1: -8685062445559760670925361
c2: 59229128273770881037
c3: -3944925828791291
c4: -19547387478
c5: 234960
Y0: -105940675846342234526815268
Y1: 16452337061580296377
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.265e-07
# f(x) = 234960*x^5-19547387478*x^4-3944925828791291*x^3+59229128273770881037*x^2-8685062445559760670925361*x-12669335102615334158042305755
# g(x) = 16452337061580296377*x-105940675846342234526815268

cado parameters (extracts)
tasks.lim0 = 3341873
tasks.lim1 = 16407032
tasks.lpb0 = 27
tasks.lpb1 = 28
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 62
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 8738860739943113222883564241190500834876418048244520971588537613 354019685392370560099613046262506951033395764639431466798851470821126829
Info:Square Root: Total cpu/real time for sqrt: 465.36/140.055
Info:Generate Free Relations: Total cpu/real time for freerel: 247.83/62.9415
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 74.94/89.5343
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 89.4s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 53990/39.560/48.702/54.300/0.956
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44187/38.890/43.580/49.400/1.148
Info:Polynomial Selection (size optimized): Total time: 11139.1
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 194.03/163.963
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 149.89999999999998s
Info:Quadratic Characters: Total cpu/real time for characters: 44.7/18.3741
Info:Generate Factor Base: Total cpu/real time for makefb: 15.25/4.04129
Info:Square Root: Total cpu/real time for sqrt: 465.36/140.055
Info:Filtering - Singleton removal: Total cpu/real time for purge: 89.9/100.262
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7112.67
Info:Polynomial Selection (root optimized): Rootsieve time: 7110.17
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17023735
Info:Lattice Sieving: Average J: 3779.51 for 637946 special-q, max bucket fill -bkmult 1.0,1s:1.162590
Info:Lattice Sieving: Total time: 210809s
Info:Filtering - Merging: Merged matrix has 1328157 rows and total weight 225973973 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 340.84/95.2126
Info:Filtering - Merging: Total cpu/real time for replay: 49.08/41.7945
Info:Linear Algebra: Total cpu/real time for bwc: 27518.9/7059.63
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 17522.11, WCT time 4481.58, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (41728 iterations)
Info:Linear Algebra: Lingen CPU time 255.99, WCT time 64.96
Info:Linear Algebra: Mksol: CPU time 9512.57,  WCT time 2429.01, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (20992 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 442107/32138.5
8738860739943113222883564241190500834876418048244520971588537613 354019685392370560099613046262506951033395764639431466798851470821126829
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
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
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 24, 2022 20:07:15 UTC 2022 年 4 月 25 日 (月) 5 時 7 分 15 秒 (日本時間)
4511e64480Ignacio SantosApril 29, 2022 18:46:35 UTC 2022 年 4 月 30 日 (土) 3 時 46 分 35 秒 (日本時間)

17×10200-53

c159

name 名前Bob Backstrom
date 日付September 9, 2022 06:34:10 UTC 2022 年 9 月 9 日 (金) 15 時 34 分 10 秒 (日本時間)
composite number 合成数
864215902546830019166196821112054745114522457733703796510686202108623445881193824495422950348436006438926346687428491001369558700877009824582856169872189519603<159>
prime factors 素因数
56540410982693139888585630676738954313<38>
15284924313892307328298113038229845864106460846583618223110900741748390062404663064461968570886139084237996652427173034331<122>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 864215902546830019166196821112054745114522457733703796510686202108623445881193824495422950348436006438926346687428491001369558700877009824582856169872189519603 (159 digits)
Using B1=17780000, B2=58560416470, polynomial Dickson(12), sigma=1:881170834
Step 1 took 43321ms
Step 2 took 16771ms
********** Factor found in step 2: 56540410982693139888585630676738954313
Found prime factor of 38 digits: 56540410982693139888585630676738954313
Prime cofactor 15284924313892307328298113038229845864106460846583618223110900741748390062404663064461968570886139084237996652427173034331 has 122 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 19, 2022 22:38:46 UTC 2022 年 6 月 20 日 (月) 7 時 38 分 46 秒 (日本時間)

17×10201-53

c195

name 名前Bob Backstrom
date 日付November 2, 2022 16:49:58 UTC 2022 年 11 月 3 日 (木) 1 時 49 分 58 秒 (日本時間)
composite number 合成数
183238930253280933466537256866865437790949063942787632169836188168919777942441310591657487204668022526962934914232593473816153902161944518593335093504939825143711867776512530928979878155812266111<195>
prime factors 素因数
2872865188687416498290404512189136145073816823<46>
63782641446186681778917913411273809836579367342536493014275655632924140223753447116749651654002624129248342260986174444918626845974729872696474486457<149>
factorization results 素因数分解の結果
Number: n
N=183238930253280933466537256866865437790949063942787632169836188168919777942441310591657487204668022526962934914232593473816153902161944518593335093504939825143711867776512530928979878155812266111  ( 195 digits)
SNFS difficulty: 201 digits.
Divisors found:

Thu Nov  3 03:17:48 2022  p46 factor: 2872865188687416498290404512189136145073816823
Thu Nov  3 03:17:48 2022  p149 factor: 63782641446186681778917913411273809836579367342536493014275655632924140223753447116749651654002624129248342260986174444918626845974729872696474486457
Thu Nov  3 03:17:48 2022  elapsed time 01:21:57 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.355).
Factorization parameters were as follows:
#
# N = 17x10^201-5 = 56(200)5
#
n: 183238930253280933466537256866865437790949063942787632169836188168919777942441310591657487204668022526962934914232593473816153902161944518593335093504939825143711867776512530928979878155812266111
m: 10000000000000000000000000000000000000000
deg: 5
c5: 34
c0: -1
skew: 0.49
# Murphy_E = 1.844e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 28000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1869719 hash collisions in 14116946 relations (13005160 unique)
Msieve: matrix is 1976400 x 1976625 (692.9 MB)

Sieving start time : 2022/11/02 18:25:22
Sieving end time  : 2022/11/03 01:55:30

Total sieving time: 7hrs 30min 8secs.

Total relation processing time: 1hrs 14min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 23sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16000000,16000000,27,27,55,55,2.6,2.6,100000
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
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 19, 2022 22:38:57 UTC 2022 年 6 月 20 日 (月) 7 時 38 分 57 秒 (日本時間)

17×10203-53

c175

name 名前Bob Backstrom
date 日付July 30, 2023 21:43:00 UTC 2023 年 7 月 31 日 (月) 6 時 43 分 0 秒 (日本時間)
composite number 合成数
6327707513357283078006966755656495971759673696412443183700251174048731548640170474187291343391427495161708205570735876139092715456871508145330342284209736690370420172659364059<175>
prime factors 素因数
8346089335808335711500434299509110455017072212506974244320143<61>
758164364022402564827164494527470225765513781113903214224748217886238669102013686524014604046443266388303671015413<114>
factorization results 素因数分解の結果
Number: n
N=6327707513357283078006966755656495971759673696412443183700251174048731548640170474187291343391427495161708205570735876139092715456871508145330342284209736690370420172659364059  ( 175 digits)
SNFS difficulty: 203 digits.
Divisors found:

Mon Jul 31 07:38:47 2023  prp61 factor: 8346089335808335711500434299509110455017072212506974244320143
Mon Jul 31 07:38:47 2023  prp114 factor: 758164364022402564827164494527470225765513781113903214224748217886238669102013686524014604046443266388303671015413
Mon Jul 31 07:38:47 2023  elapsed time 02:14:15 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.095).
Factorization parameters were as follows:
#
# N = 17x10^203-5 = 56(202)5
#
n: 6327707513357283078006966755656495971759673696412443183700251174048731548640170474187291343391427495161708205570735876139092715456871508145330342284209736690370420172659364059
m: 10000000000000000000000000000000000000000
deg: 5
c5: 3400
c0: -1
skew: 0.20
# Murphy_E = 1.356e-11
type: snfs
lss: 1
rlim: 17300000
alim: 17300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17300000/17300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 27050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2834475 hash collisions in 17513136 relations (15500850 unique)
Msieve: matrix is 2050752 x 2050978 (581.1 MB)

Sieving start time: 2023/07/30 17:47:14
Sieving end time  : 2023/07/31 05:24:10

Total sieving time: 11hrs 36min 56secs.

Total relation processing time: 2hrs 6min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 58sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17300000,17300000,27,27,56,56,2.6,2.6,100000
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
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 19, 2022 22:39:06 UTC 2022 年 6 月 20 日 (月) 7 時 39 分 6 秒 (日本時間)
2350Ignacio SantosJuly 19, 2023 07:41:18 UTC 2023 年 7 月 19 日 (水) 16 時 41 分 18 秒 (日本時間)

17×10205-53

c201

name 名前Bob Backstrom
date 日付January 9, 2024 02:53:04 UTC 2024 年 1 月 9 日 (火) 11 時 53 分 4 秒 (日本時間)
composite number 合成数
359366247053725253934531925463212522856750272167084165688979082770502372874190104744691420659331367388570039424591220893976387523649469934785595755250446565409941761528786293348553550855608755852913509<201>
prime factors 素因数
182985197515521008990973338949034743412180528111692702829<57>
1963908840348921705352829361899395529348635725084599101987941575218019194453636160532527648126374362027446016155032294682641177732346503328552921<145>
factorization results 素因数分解の結果
Number: n
N=359366247053725253934531925463212522856750272167084165688979082770502372874190104744691420659331367388570039424591220893976387523649469934785595755250446565409941761528786293348553550855608755852913509  ( 201 digits)
SNFS difficulty: 206 digits.
Divisors found:

Mon Jan  8 18:34:55 2024  prp57 factor: 182985197515521008990973338949034743412180528111692702829
Mon Jan  8 18:34:55 2024  prp145 factor: 1963908840348921705352829361899395529348635725084599101987941575218019194453636160532527648126374362027446016155032294682641177732346503328552921
Mon Jan  8 18:34:55 2024  elapsed time 02:13:03 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.108).
Factorization parameters were as follows:
#
# N = 17x10^205-5 = 56(204)5
#
n: 359366247053725253934531925463212522856750272167084165688979082770502372874190104744691420659331367388570039424591220893976387523649469934785595755250446565409941761528786293348553550855608755852913509
m: 100000000000000000000000000000000000000000
deg: 5
c5: 17
c0: -5
skew: 0.78
# Murphy_E = 1.159e-11
type: snfs
lss: 1
rlim: 19200000
alim: 19200000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19200000/19200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3047545 hash collisions in 19370508 relations (16850061 unique)
Msieve: matrix is 2046424 x 2046649 (579.0 MB)

Sieving start time: 2024/01/08 00:39:44
Sieving end time  : 2024/01/08 16:20:50

Total sieving time: 15hrs 41min 6secs.

Total relation processing time: 2hrs 3min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 23sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19200000,19200000,27,27,56,56,2.6,2.6,100000
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
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 24, 2022 08:47:12 UTC 2022 年 8 月 24 日 (水) 17 時 47 分 12 秒 (日本時間)
2350Ignacio SantosOctober 22, 2023 06:47:11 UTC 2023 年 10 月 22 日 (日) 15 時 47 分 11 秒 (日本時間)

17×10206-53

c164

name 名前Bob Backstrom
date 日付March 3, 2024 13:58:33 UTC 2024 年 3 月 3 日 (日) 22 時 58 分 33 秒 (日本時間)
composite number 合成数
14382144188669766861980182960652466635540142983566508926925905947540463064109215444801064682725188986091983305488556060991946372906261272302319576359757241844478867<164>
prime factors 素因数
73839951373400669271082848326837462059527751102632077849171286241266277<71>
194774562024571428074528031906538310604352626748019077998911506775965077695496007672526891671<93>
factorization results 素因数分解の結果
Number: n
N=14382144188669766861980182960652466635540142983566508926925905947540463064109215444801064682725188986091983305488556060991946372906261272302319576359757241844478867  ( 164 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sun Mar  3 03:03:24 2024  prp71 factor: 73839951373400669271082848326837462059527751102632077849171286241266277
Sun Mar  3 03:03:24 2024  prp93 factor: 194774562024571428074528031906538310604352626748019077998911506775965077695496007672526891671
Sun Mar  3 03:03:24 2024  elapsed time 02:31:51 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
#
# N = 17x10^206-5 = 56(205)5
#
n: 14382144188669766861980182960652466635540142983566508926925905947540463064109215444801064682725188986091983305488556060991946372906261272302319576359757241844478867
m: 100000000000000000000000000000000000000000
deg: 5
c5: 34
c0: -1
skew: 0.49
# Murphy_E = 1.134e-11
type: snfs
lss: 1
rlim: 19400000
alim: 19400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19400000/19400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 56912203)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3255667 hash collisions in 20221331 relations (17467673 unique)
Msieve: matrix is 2196689 x 2196915 (620.6 MB)

Sieving start time: 2024/03/02 00:47:42
Sieving end time  : 2024/03/03 00:30:30

Total sieving time: 23hrs 42min 48secs.

Total relation processing time: 2hrs 21min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 52sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19400000,19400000,27,27,56,56,2.6,2.6,100000
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
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e643501000Dmitry DomanovJune 19, 2022 22:39:15 UTC 2022 年 6 月 20 日 (月) 7 時 39 分 15 秒 (日本時間)
1000Dmitry DomanovJune 19, 2022 22:39:25 UTC 2022 年 6 月 20 日 (月) 7 時 39 分 25 秒 (日本時間)
2350Ignacio SantosOctober 22, 2023 06:53:52 UTC 2023 年 10 月 22 日 (日) 15 時 53 分 52 秒 (日本時間)
4511e64480Ignacio SantosFebruary 27, 2024 08:00:35 UTC 2024 年 2 月 27 日 (火) 17 時 0 分 35 秒 (日本時間)

17×10209-53

c196

composite cofactor 合成数の残り
1768054981111727418045944423478824125197603143594498376228452217126220324832876884514774895291699798426725897374332961242241371233350325648726581513417859584724181965177776364112943170924079424509<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 19, 2022 22:39:53 UTC 2022 年 6 月 20 日 (月) 7 時 39 分 53 秒 (日本時間)
2350Ignacio SantosOctober 22, 2023 07:03:24 UTC 2023 年 10 月 22 日 (日) 16 時 3 分 24 秒 (日本時間)

17×10211-53

c200

composite cofactor 合成数の残り
59762228510377669294036127379615437872181544355635728248132711550442686630162211178210683728682126169671514406726831917478954740796421346926648269884198519540282463841870382872345094758755214176256671<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 19, 2022 22:40:02 UTC 2022 年 6 月 20 日 (月) 7 時 40 分 2 秒 (日本時間)
2350Ignacio SantosOctober 22, 2023 07:14:08 UTC 2023 年 10 月 22 日 (日) 16 時 14 分 8 秒 (日本時間)

17×10212-53

c194

name 名前Dmitry Domanov
date 日付June 21, 2022 22:57:49 UTC 2022 年 6 月 22 日 (水) 7 時 57 分 49 秒 (日本時間)
composite number 合成数
31367882700450821574011460885633632662093770735871349859504728586549654166952286658354237253293678728856088182272111524058069774717757773713066345193830368970389700048282186123356224685879998001<194>
prime factors 素因数
61471627227522102485472857960368343<35>
510282289817224491775614579175448736692067328260658546418643312884049890429579256659678278283017216552055484164017484342246294411961313064797983098469457457207<159>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1181395609
Step 1 took 13620ms
Step 2 took 4732ms
********** Factor found in step 2: 61471627227522102485472857960368343
Found probable prime factor of 35 digits: 61471627227522102485472857960368343
Probable prime cofactor 510282289817224491775614579175448736692067328260658546418643312884049890429579256659678278283017216552055484164017484342246294411961313064797983098469457457207 has 159 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 19, 2022 22:40:18 UTC 2022 年 6 月 20 日 (月) 7 時 40 分 18 秒 (日本時間)

17×10213-53

c184

composite cofactor 合成数の残り
7883564486182566525832561319861704068152681231230232758245982306330196000036329661059139776999205491938066328067371234459903512162013713554080921264112960150531044337247134077262756873<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 19, 2022 22:40:27 UTC 2022 年 6 月 20 日 (月) 7 時 40 分 27 秒 (日本時間)
2350Ignacio SantosOctober 22, 2023 07:24:01 UTC 2023 年 10 月 22 日 (日) 16 時 24 分 1 秒 (日本時間)

17×10215-53

c210

composite cofactor 合成数の残り
124119436483156079826320402643451951358322956583386175358130206399671156504752861774389560533231701418283596119734369803639400911985812418295643006216558481975484951065912166515715528473181257819068176981174367<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 24, 2022 08:47:20 UTC 2022 年 8 月 24 日 (水) 17 時 47 分 20 秒 (日本時間)
2350Ignacio SantosSeptember 27, 2022 11:51:33 UTC 2022 年 9 月 27 日 (火) 20 時 51 分 33 秒 (日本時間)

17×10217-53

c184

composite cofactor 合成数の残り
1911112973695698048943649258306663850156664208658775679217037690389686990270673980142090072178822730855571400399946170084514908437023720446729571233845669160747604206938211164486391019<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 19, 2022 22:40:42 UTC 2022 年 6 月 20 日 (月) 7 時 40 分 42 秒 (日本時間)
2350Ignacio SantosOctober 22, 2023 07:51:47 UTC 2023 年 10 月 22 日 (日) 16 時 51 分 47 秒 (日本時間)

17×10218-53

c179

name 名前Ignacio Santos
date 日付October 22, 2023 07:52:12 UTC 2023 年 10 月 22 日 (日) 16 時 52 分 12 秒 (日本時間)
composite number 合成数
11850774919971507513893736124321007121779057437385631510335450576418496843408388420766687109867812265494469981437155093672341851797713038359912856219255064142572826041785725639911<179>
prime factors 素因数
16813181207069561225488284321431206490579209<44>
composite cofactor 合成数の残り
704850246602262606956173473973112447065202524330337155007296812010875299595805657319246267093059171374474076653611642158347740828973679<135>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:603345497
Step 1 took 3907ms
********** Factor found in step 2: 16813181207069561225488284321431206490579209
Found prime factor of 44 digits: 16813181207069561225488284321431206490579209
Composite cofactor 704850246602262606956173473973112447065202524330337155007296812010875299595805657319246267093059171374474076653611642158347740828973679 has 135 digits
software ソフトウェア
GMP-ECM

c135

name 名前Bob Backstrom
date 日付October 22, 2023 23:14:59 UTC 2023 年 10 月 23 日 (月) 8 時 14 分 59 秒 (日本時間)
composite number 合成数
704850246602262606956173473973112447065202524330337155007296812010875299595805657319246267093059171374474076653611642158347740828973679<135>
prime factors 素因数
1156130394630290038793662994407655360153<40>
609663278360276302525269621516546650980806531923312330313016836521811955645960063333073642460743<96>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 704850246602262606956173473973112447065202524330337155007296812010875299595805657319246267093059171374474076653611642158347740828973679 (135 digits)
Using B1=50870000, B2=288592384096, polynomial Dickson(12), sigma=1:2057431363
Step 1 took 84039ms
Step 2 took 30616ms
********** Factor found in step 2: 1156130394630290038793662994407655360153
Found prime factor of 40 digits: 1156130394630290038793662994407655360153
Prime cofactor 609663278360276302525269621516546650980806531923312330313016836521811955645960063333073642460743 has 96 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 19, 2022 22:40:58 UTC 2022 年 6 月 20 日 (月) 7 時 40 分 58 秒 (日本時間)

17×10220-53

c191

composite cofactor 合成数の残り
20313350359948505973622157640392406693339155187210935693184641245158795535103362926145168863197808055397825741378052806508756228496893934669473198137692068043000257705130823136116811041997829<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 19, 2022 22:41:07 UTC 2022 年 6 月 20 日 (月) 7 時 41 分 7 秒 (日本時間)
2350Ignacio SantosOctober 22, 2023 07:53:51 UTC 2023 年 10 月 22 日 (日) 16 時 53 分 51 秒 (日本時間)

17×10222-53

c220

composite cofactor 合成数の残り
7505518763796909492273730684326710816777041942604856512141280353200883002207505518763796909492273730684326710816777041942604856512141280353200883002207505518763796909492273730684326710816777041942604856512141280353200883<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:36:45 UTC 2022 年 8 月 23 日 (火) 15 時 36 分 45 秒 (日本時間)
2350Ignacio SantosOctober 22, 2023 14:10:20 UTC 2023 年 10 月 22 日 (日) 23 時 10 分 20 秒 (日本時間)

17×10223-53

c203

composite cofactor 合成数の残り
63212575204922496641708023769835670139299187407953040555625234015533555931188201278357682016122435600420610176996921336148143339946918498920309212044039609585208047625605917171722161851225088960114912999<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 24, 2022 08:47:27 UTC 2022 年 8 月 24 日 (水) 17 時 47 分 27 秒 (日本時間)
2350Ignacio SantosOctober 22, 2023 14:11:42 UTC 2023 年 10 月 22 日 (日) 23 時 11 分 42 秒 (日本時間)

17×10224-53

c183

composite cofactor 合成数の残り
310862632851768836328832648418308804085508855999137049688127543668499874802023647804345022574823835424260264588809788844970103690193558704359852496536491381052284986474789903748943733<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 19, 2022 22:41:28 UTC 2022 年 6 月 20 日 (月) 7 時 41 分 28 秒 (日本時間)
2350Ignacio SantosOctober 22, 2023 14:41:16 UTC 2023 年 10 月 22 日 (日) 23 時 41 分 16 秒 (日本時間)

17×10225-53

c206

composite cofactor 合成数の残り
25719394771765940654157476022615001114105625046781358255666256343441982006362836886753317982618652104586350920380857810194882192245550090699035396945138903665373990889293172784874742919730107282381267993729<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 24, 2022 08:47:36 UTC 2022 年 8 月 24 日 (水) 17 時 47 分 36 秒 (日本時間)
2350Ignacio SantosOctober 22, 2023 14:41:29 UTC 2023 年 10 月 22 日 (日) 23 時 41 分 29 秒 (日本時間)

17×10226-53

c166

name 名前Ignacio Santos
date 日付October 22, 2023 14:41:57 UTC 2023 年 10 月 22 日 (日) 23 時 41 分 57 秒 (日本時間)
composite number 合成数
4263879948393291178851063959041237992637411934842229557976451391552648509352554769930282602279164510076747438897136927687117343260564766380057761091622933884223857343<166>
prime factors 素因数
118462754656426199119435556341578744743<39>
35993422242794269519621940150815363789734740089927118782715914029657885768087689321093573828482288984312231150924861688639548201<128>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2567178059
Step 1 took 6359ms
Step 2 took 3141ms
********** Factor found in step 2: 118462754656426199119435556341578744743
Found prime factor of 39 digits: 118462754656426199119435556341578744743
Prime cofactor 35993422242794269519621940150815363789734740089927118782715914029657885768087689321093573828482288984312231150924861688639548201 has 128 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 19, 2022 22:42:15 UTC 2022 年 6 月 20 日 (月) 7 時 42 分 15 秒 (日本時間)

17×10227-53

c159

composite cofactor 合成数の残り
864697233403241148130552321887791630135705655751457122660589880528149527797789387443185523256635515386852449151052927077276832196600743951041582521797489865957<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 19, 2022 22:42:25 UTC 2022 年 6 月 20 日 (月) 7 時 42 分 25 秒 (日本時間)
2350Ignacio SantosOctober 22, 2023 14:43:04 UTC 2023 年 10 月 22 日 (日) 23 時 43 分 4 秒 (日本時間)

17×10228-53

c150

composite cofactor 合成数の残り
309349597066654427084969292969056317266821744151240028230512297085741621917191212305239994759080151525296419513342570999492225893396900944636138296149<150>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 24, 2022 20:08:35 UTC 2022 年 4 月 25 日 (月) 5 時 8 分 35 秒 (日本時間)
4511e64480Ignacio SantosApril 29, 2022 15:12:25 UTC 2022 年 4 月 30 日 (土) 0 時 12 分 25 秒 (日本時間)
5043e67254800Lionel DebrouxOctober 5, 2022 12:02:02 UTC 2022 年 10 月 5 日 (水) 21 時 2 分 2 秒 (日本時間)
6454Ignacio SantosDecember 7, 2023 15:01:55 UTC 2023 年 12 月 8 日 (金) 0 時 1 分 55 秒 (日本時間)

17×10229-53

c220

composite cofactor 合成数の残り
6096855416579308366958221681821823703037201048385203524159669956185735760378646984493885371622263893595399763209217551375680711374376292744384688883573016741936462161744419489913610128392310011660463719689664184796600053<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:36:54 UTC 2022 年 8 月 23 日 (火) 15 時 36 分 54 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 07:07:51 UTC 2023 年 10 月 23 日 (月) 16 時 7 分 51 秒 (日本時間)

17×10230-53

c223

composite cofactor 合成数の残り
3529559505471756719173120544080352041587014111106235474500121204035312163222278546379154147500769262303688884859654488720934453785769710921083087688968074210358902116397584988185474324162281630176056192912683961030714839299<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:37:02 UTC 2022 年 8 月 23 日 (火) 15 時 37 分 2 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 07:08:03 UTC 2023 年 10 月 23 日 (月) 16 時 8 分 3 秒 (日本時間)

17×10232-53

c193

composite cofactor 合成数の残り
6416742086917140226835368417966471071527711196259178510942793286253155737173521758804855747825155796539523502076483818372230953462309506879333418078073330617829983602631164051550176234727181919<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 19, 2022 22:43:24 UTC 2022 年 6 月 20 日 (月) 7 時 43 分 24 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 07:14:55 UTC 2023 年 10 月 23 日 (月) 16 時 14 分 55 秒 (日本時間)

17×10233-53

c220

composite cofactor 合成数の残り
3795926889737240387451081276143241167637869154785462514929769419405819443218696748935880234553498455908079265690749075521260461259484101388373539794104012896251644473493302161371111020249991890616194041923623885523586101<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:37:10 UTC 2022 年 8 月 23 日 (火) 15 時 37 分 10 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 07:28:55 UTC 2023 年 10 月 23 日 (月) 16 時 28 分 55 秒 (日本時間)

17×10234-53

c230

composite cofactor 合成数の残り
20489456969127209396223913606807320762448851686463097885367514568606536136773151579797395428440571535323221183687981728225432237147385485027630635353955369141672542319768107557596466171303912883650015969723814172677911762756193541<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:37:17 UTC 2022 年 8 月 23 日 (火) 15 時 37 分 17 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 07:42:08 UTC 2023 年 10 月 23 日 (月) 16 時 42 分 8 秒 (日本時間)

17×10235-53

c194

composite cofactor 合成数の残り
14249882477369445965779705079245035260890466380149433344884365612626015078629257509381679138445488912368193450223789327571586010128724432096281343723098749332022707325507235326746418593954661083<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 19, 2022 22:43:34 UTC 2022 年 6 月 20 日 (月) 7 時 43 分 34 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 07:53:04 UTC 2023 年 10 月 23 日 (月) 16 時 53 分 4 秒 (日本時間)

17×10236-53

c197

composite cofactor 合成数の残り
58340209909364433799873271192917590187822929823152747477344803710193639214675281634034678817889599329460667075523228140053771376721382193274084134827541294501770737965732864771261897496651431823377<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 19, 2022 22:43:45 UTC 2022 年 6 月 20 日 (月) 7 時 43 分 45 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 07:59:13 UTC 2023 年 10 月 23 日 (月) 16 時 59 分 13 秒 (日本時間)

17×10237-53

c224

composite cofactor 合成数の残り
90930672910175160730822862394851938047542024712589731031382664228714323041788065580918092215981870386343335951243665089035705710624450252513483351096825462639785219541974261272976735354916178173622212569282302765025282645757<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:37:25 UTC 2022 年 8 月 23 日 (火) 15 時 37 分 25 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 08:15:17 UTC 2023 年 10 月 23 日 (月) 17 時 15 分 17 秒 (日本時間)

17×10238-53

c188

composite cofactor 合成数の残り
15318449714788792199107601779967124193512689649437986686380497883364115240923756548892684395914568096031149068810696909697875006642237402818342831430012186355773301566312090585371652657817<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 19, 2022 22:43:54 UTC 2022 年 6 月 20 日 (月) 7 時 43 分 54 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 08:21:58 UTC 2023 年 10 月 23 日 (月) 17 時 21 分 58 秒 (日本時間)

17×10241-53

c191

composite cofactor 合成数の残り
25932170561560307561204809693491692234289897007610854912853119545004093847169167671471859552503851471551833305278905224921692931817951448979849534568283658829538590378485950821722939502113799<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 19, 2022 22:44:05 UTC 2022 年 6 月 20 日 (月) 7 時 44 分 5 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 08:47:15 UTC 2023 年 10 月 23 日 (月) 17 時 47 分 15 秒 (日本時間)

17×10242-53

c206

composite cofactor 合成数の残り
78014412910654580446467488340581841444333096646596284795251078579958842777332755460696453334201688026731580796814081451060568504274219475307995967266487769958103774468048329020212286016757707639781089990729<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 24, 2022 08:47:43 UTC 2022 年 8 月 24 日 (水) 17 時 47 分 43 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 08:47:44 UTC 2023 年 10 月 23 日 (月) 17 時 47 分 44 秒 (日本時間)

17×10243-53

c168

name 名前Dmitry Domanov
date 日付June 20, 2022 06:57:34 UTC 2022 年 6 月 20 日 (月) 15 時 57 分 34 秒 (日本時間)
composite number 合成数
160591658516158200381282371743484919574403459785895487012940727529591465318805434508642617992163519732150016933025848760938115225101741014326363444107376369346271234099<168>
prime factors 素因数
883978535506857849961574070394319<33>
composite cofactor 合成数の残り
181669183204858869992575444822277370790510630814380356124738669964602649966399909242109237479577640525575286675331141806783202254998621<135>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1379186561
Step 1 took 8000ms
Step 2 took 4190ms
********** Factor found in step 2: 883978535506857849961574070394319
Found prime factor of 33 digits: 883978535506857849961574070394319
Composite cofactor 181669183204858869992575444822277370790510630814380356124738669964602649966399909242109237479577640525575286675331141806783202254998621 has 135 digits

c135

name 名前Ignacio Santos
date 日付June 25, 2022 21:38:36 UTC 2022 年 6 月 26 日 (日) 6 時 38 分 36 秒 (日本時間)
composite number 合成数
181669183204858869992575444822277370790510630814380356124738669964602649966399909242109237479577640525575286675331141806783202254998621<135>
prime factors 素因数
13962032726558375780750227095135365849631844581698566113257<59>
13011657167891491143508135101881111950431202336695533421813883518428361428053<77>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:639462811
Step 1 took 69672ms
Step 2 took 29687ms
********** Factor found in step 2: 13962032726558375780750227095135365849631844581698566113257
Found prime factor of 59 digits: 13962032726558375780750227095135365849631844581698566113257
Prime cofactor 13011657167891491143508135101881111950431202336695533421813883518428361428053 has 77 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 19, 2022 22:44:14 UTC 2022 年 6 月 20 日 (月) 7 時 44 分 14 秒 (日本時間)
2350Ignacio SantosJune 21, 2022 17:26:21 UTC 2022 年 6 月 22 日 (水) 2 時 26 分 21 秒 (日本時間)
4511e64480Ignacio SantosJune 22, 2022 22:24:58 UTC 2022 年 6 月 23 日 (木) 7 時 24 分 58 秒 (日本時間)

17×10244-53

c189

composite cofactor 合成数の残り
688599113673105068243331625526845749870007411471160816142247610455903655053296143853623101678873430971484039228686807857372661593127344922556788693106033819213762653351694872649995178336617<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 19, 2022 22:44:24 UTC 2022 年 6 月 20 日 (月) 7 時 44 分 24 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 08:52:16 UTC 2023 年 10 月 23 日 (月) 17 時 52 分 16 秒 (日本時間)

17×10245-53

c245

composite cofactor 合成数の残り
10303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:37:35 UTC 2022 年 8 月 23 日 (火) 15 時 37 分 35 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 09:24:11 UTC 2023 年 10 月 23 日 (月) 18 時 24 分 11 秒 (日本時間)

17×10246-53

c204

composite cofactor 合成数の残り
832223193931022292729353060362196290211825963796630365784393322256247722481505268954545316416497277775445360538989838750763029412704317641800405388341940609107427600732549872247435259715245995348413661251<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 24, 2022 08:48:03 UTC 2022 年 8 月 24 日 (水) 17 時 48 分 3 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 09:24:22 UTC 2023 年 10 月 23 日 (月) 18 時 24 分 22 秒 (日本時間)

17×10247-53

c211

composite cofactor 合成数の残り
3248252446756550933767154734383089951249323517016261826643579801620171210897599904954999190192892859878612877732044445885376220835482706393334320436869547703509428134310072263177256982215053875394406903858617589<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 24, 2022 08:48:11 UTC 2022 年 8 月 24 日 (水) 17 時 48 分 11 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 09:38:12 UTC 2023 年 10 月 23 日 (月) 18 時 38 分 12 秒 (日本時間)

17×10248-53

c195

name 名前Ignacio Santos
date 日付October 23, 2023 09:58:52 UTC 2023 年 10 月 23 日 (月) 18 時 58 分 52 秒 (日本時間)
composite number 合成数
159514327708911297047446871700202883875891298774381959870378535506668484432325008341171713700961181411426488179651562547967286996945933126231210550369447202302000452940158836696527267394412317701<195>
prime factors 素因数
211475936485460051148018944127941981<36>
composite cofactor 合成数の残り
754290678929697729172182866333162606175215168397460797264930278250574050197296875238441846429751855957622861128091554868684296986118904885017953552347041298121<159>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:523576376
Step 1 took 8500ms
Step 2 took 3797ms
********** Factor found in step 2: 211475936485460051148018944127941981
Found prime factor of 36 digits: 211475936485460051148018944127941981
Composite cofactor 754290678929697729172182866333162606175215168397460797264930278250574050197296875238441846429751855957622861128091554868684296986118904885017953552347041298121 has 159 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 19, 2022 22:44:33 UTC 2022 年 6 月 20 日 (月) 7 時 44 分 33 秒 (日本時間)
2350Ignacio SantosOctober 27, 2023 15:44:08 UTC 2023 年 10 月 28 日 (土) 0 時 44 分 8 秒 (日本時間)
4511e64480Ignacio SantosOctober 29, 2023 07:54:21 UTC 2023 年 10 月 29 日 (日) 16 時 54 分 21 秒 (日本時間)

17×10249-53

c203

composite cofactor 合成数の残り
40838021712542346786183644549880572669396239506687299256656100503414396941641522847297258697978993630156434475045608447430761276815644436997881476587520748221089385232024046898885348056227906646048788851<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 24, 2022 08:48:19 UTC 2022 年 8 月 24 日 (水) 17 時 48 分 19 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 09:59:28 UTC 2023 年 10 月 23 日 (月) 18 時 59 分 28 秒 (日本時間)

17×10250-53

c228

composite cofactor 合成数の残り
800226060598387707182440807004098401064186822727129956913545295622453158122615201893057723632452051671371640923798476608147771915073206232039555389302075780129758752295090217556463973819442450614224344344155248159913683497449241<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:37:43 UTC 2022 年 8 月 23 日 (火) 15 時 37 分 43 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 10:12:40 UTC 2023 年 10 月 23 日 (月) 19 時 12 分 40 秒 (日本時間)

17×10252-53

c227

composite cofactor 合成数の残り
88229788939812024304845575855351310801845492190346559720918515487879525150494839338874583227187135629392646674380476336918624465489129195897789251066007992533086689085061200168053500516654757349601030008717606626474223552527551<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:37:51 UTC 2022 年 8 月 23 日 (火) 15 時 37 分 51 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 10:24:36 UTC 2023 年 10 月 23 日 (月) 19 時 24 分 36 秒 (日本時間)

17×10253-53

c201

composite cofactor 合成数の残り
964910412743551404211128894782867504487166695905673883271383601206461110640400772756007753289140743190464542178501869700655163708289873646359896496933338940785184762979613793993120969750037768038389069<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 24, 2022 08:48:26 UTC 2022 年 8 月 24 日 (水) 17 時 48 分 26 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 13:41:43 UTC 2023 年 10 月 23 日 (月) 22 時 41 分 43 秒 (日本時間)

17×10254-53

c244

composite cofactor 合成数の残り
1845686045353566147772317476603469306355848442506663956394398692787911939735228282980117384755566475729306920829335024263988844464697078526078167533475532278898646563418780075646447164873417775128745734687954926964549043526123085859049092801063<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:37:59 UTC 2022 年 8 月 23 日 (火) 15 時 37 分 59 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 13:54:36 UTC 2023 年 10 月 23 日 (月) 22 時 54 分 36 秒 (日本時間)

17×10255-53

c207

composite cofactor 合成数の残り
194856444184040997047292373385403589984939721667390568357287754922669162082600776321770353335304256829570190417073251315940019722793859978501296747124349362969083526062723020639321878489475664764352078739827<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 24, 2022 08:48:34 UTC 2022 年 8 月 24 日 (水) 17 時 48 分 34 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 13:54:46 UTC 2023 年 10 月 23 日 (月) 22 時 54 分 46 秒 (日本時間)

17×10256-53

c224

composite cofactor 合成数の残り
57532501130552389847223751081839068970875532376869477764200275851817280131472477508899698366155674243315412301606614331575196921288434382460063634990534018137332306486233417929674952352702102688404970608684765565272281426039<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:38:05 UTC 2022 年 8 月 23 日 (火) 15 時 38 分 5 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 14:16:17 UTC 2023 年 10 月 23 日 (月) 23 時 16 分 17 秒 (日本時間)

17×10258-53

c227

name 名前Dmitry Domanov
date 日付August 24, 2022 00:48:15 UTC 2022 年 8 月 24 日 (水) 9 時 48 分 15 秒 (日本時間)
composite number 合成数
24580064862938860847369892616664271196077908224896977005431284213336861771150255108949663266282896231547861842215696406609927094383279988804080883195424864327189084417866030335455268807461176548770889820470914287396717704512481<227>
prime factors 素因数
216334605042735370596526050750969371422403<42>
composite cofactor 合成数の残り
113620587229136286100588662021626465518153738903938277926563188893623996908922463155980199628699802500858367945147417839906473368092691599943321656905412513236701928385186528418530009227<186>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ab3558ab9a40 with GMP-ECM 7.0.5-dev on Tue Aug 23 07:37:03 2022 
Input number is 24580064862938860847369892616664271196077908224896977005431284213336861771150255108949663266282896231547861842215696406609927094383279988804080883195424864327189084417866030335455268807461176548770889820470914287396717704512481 (227 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:227579826
Step 1 took 0ms
Step 2 took 8932ms
********** Factor found in step 2: 216334605042735370596526050750969371422403
Found prime factor of 42 digits: 216334605042735370596526050750969371422403
Composite cofactor 113620587229136286100588662021626465518153738903938277926563188893623996908922463155980199628699802500858367945147417839906473368092691599943321656905412513236701928385186528418530009227 has 186 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:38:12 UTC 2022 年 8 月 23 日 (火) 15 時 38 分 12 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 14:16:28 UTC 2023 年 10 月 23 日 (月) 23 時 16 分 28 秒 (日本時間)

17×10261-53

c197

composite cofactor 合成数の残り
70061897792932899903109973196813907560705824560361394432728028985989873639471453881102117546092330306450793608691917303212288812635614954117484276285339267376732460663175148154465753133305293756951<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 19, 2022 22:44:44 UTC 2022 年 6 月 20 日 (月) 7 時 44 分 44 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 14:31:16 UTC 2023 年 10 月 23 日 (月) 23 時 31 分 16 秒 (日本時間)

17×10262-53

c206

name 名前Dmitry Domanov
date 日付August 24, 2022 12:47:58 UTC 2022 年 8 月 24 日 (水) 21 時 47 分 58 秒 (日本時間)
composite number 合成数
41364566361965612585095484348088697860070662099307589180933783900166535666134407895127997634889742707793622920169698429616985175320365166925244700984175767456377786581043781605551936791287723213966172498157<206>
prime factors 素因数
339596713517907073671171052357453807<36>
composite cofactor 合成数の残り
121804966642542146020835827640827160232409780816564996216811211171659778169010912610539448437871251671146276918153011697765201013737744193702779928665832715414724959822051<171>
factorization results 素因数分解の結果
GPU: factor 339596713517907073671171052357453807 found in Step 1 with curve 393 (-sigma 3:158444493)
GPU: factor 339596713517907073671171052357453807 found in Step 1 with curve 1322 (-sigma 3:158445422)
Computing 1792 Step 1 took 261ms of CPU time / 175204ms of GPU time
Throughput: 10.228 curves per second (on average 97.77ms per Step 1)
********** Factor found in step 1: 339596713517907073671171052357453807
Found prime factor of 36 digits: 339596713517907073671171052357453807
Composite cofactor 121804966642542146020835827640827160232409780816564996216811211171659778169010912610539448437871251671146276918153011697765201013737744193702779928665832715414724959822051 has 171 digits
Peak memory usage: 9428MB

c171

name 名前Dmitry Domanov
date 日付August 26, 2022 23:49:29 UTC 2022 年 8 月 27 日 (土) 8 時 49 分 29 秒 (日本時間)
composite number 合成数
121804966642542146020835827640827160232409780816564996216811211171659778169010912610539448437871251671146276918153011697765201013737744193702779928665832715414724959822051<171>
prime factors 素因数
20123921562675658392041318423271293760948947<44>
6052745050868060923339940888964605152075152633938977852906341951271648306309229469744320801013929940377316407344485078258624433<127>
factorization results 素因数分解の結果
Resuming ECM residue saved by @a15c56f1befc with GMP-ECM 7.0.5-dev on Wed Aug 24 11:21:14 2022 
Input number is 121804966642542146020835827640827160232409780816564996216811211171659778169010912610539448437871251671146276918153011697765201013737744193702779928665832715414724959822051 (171 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:158444282
Step 1 took 0ms
Step 2 took 4135ms
********** Factor found in step 2: 20123921562675658392041318423271293760948947
Found prime factor of 44 digits: 20123921562675658392041318423271293760948947
Prime cofactor 6052745050868060923339940888964605152075152633938977852906341951271648306309229469744320801013929940377316407344485078258624433 has 127 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovAugust 24, 2022 08:48:41 UTC 2022 年 8 月 24 日 (水) 17 時 48 分 41 秒 (日本時間)
4511e64480Ignacio SantosAugust 25, 2022 13:10:14 UTC 2022 年 8 月 25 日 (木) 22 時 10 分 14 秒 (日本時間)

17×10263-53

c228

name 名前Dmitry Domanov
date 日付August 24, 2022 08:58:06 UTC 2022 年 8 月 24 日 (水) 17 時 58 分 6 秒 (日本時間)
composite number 合成数
161184052506605149629130240308960164219571438370983981830192281097708829820531801867395800786364459101545370690809757837944627074991630522350748729508650673760469531993215471792218247225546694032823443198039502740183563561021129<228>
prime factors 素因数
2044316146892459029903635422574816869<37>
78844973538764606045403006446983498120732343809070609152763066094479710674786207929779806815380817958266136124953188883546596186066129426723387736077417833750567288763690077839102198421755541<191>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ab3558ab9a40 with GMP-ECM 7.0.5-dev on Tue Aug 23 07:40:00 2022 
Input number is 161184052506605149629130240308960164219571438370983981830192281097708829820531801867395800786364459101545370690809757837944627074991630522350748729508650673760469531993215471792218247225546694032823443198039502740183563561021129 (228 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2246458246
Step 1 took 0ms
Step 2 took 7729ms
********** Factor found in step 2: 2044316146892459029903635422574816869
Found prime factor of 37 digits: 2044316146892459029903635422574816869
Prime cofactor 78844973538764606045403006446983498120732343809070609152763066094479710674786207929779806815380817958266136124953188883546596186066129426723387736077417833750567288763690077839102198421755541 has 191 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 23, 2022 06:38:53 UTC 2022 年 8 月 23 日 (火) 15 時 38 分 53 秒 (日本時間)

17×10264-53

c245

composite cofactor 合成数の残り
18546729121376779740114391321438791095420784977371260626770135570756355110573973224396346142765975166525048246132331955005219889605103719499396658272976726592416610637425830117019772951056315263119181961186911473093891863736994838306411784283339<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:39:04 UTC 2022 年 8 月 23 日 (火) 15 時 39 分 4 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 14:47:20 UTC 2023 年 10 月 23 日 (月) 23 時 47 分 20 秒 (日本時間)

17×10265-53

c254

composite cofactor 合成数の残り
33877985726302177703583365418103219826876421267783590515939967135667739711556719153260074886146935637374402046232915784083035913910409808817116268345729711690749801167627932065990330266476255255385313443896007763325211673231411548209777556883894090804127<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 16, 2022 12:58:08 UTC 2022 年 6 月 16 日 (木) 21 時 58 分 8 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 15:01:11 UTC 2023 年 10 月 24 日 (火) 0 時 1 分 11 秒 (日本時間)

17×10266-53

c200

composite cofactor 合成数の残り
33840681092224274333603813978958499975815986213492507594118477028193510817401547755460792996604769784621110639020176456383613616889275713118504665739803900277300327742634181922267981984652856602362821<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 19, 2022 22:44:54 UTC 2022 年 6 月 20 日 (月) 7 時 44 分 54 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 15:10:32 UTC 2023 年 10 月 24 日 (火) 0 時 10 分 32 秒 (日本時間)

17×10268-53

c265

name 名前Dmitry Domanov
date 日付June 19, 2022 05:28:18 UTC 2022 年 6 月 19 日 (日) 14 時 28 分 18 秒 (日本時間)
composite number 合成数
5107405738320564818987531921285864503530118672074508036653147063241700465675229082169145260627910470181763557157878924440438636022232236743277752741475138951479645485954634219618446747784287216463872615292173651795102899203845576085323719393120024034850533273246207<265>
prime factors 素因数
235973517221128970164421283517551505744691<42>
composite cofactor 合成数の残り
21643978521261155497886649611347178671802092466829817327904936221865610040760325497261620573226444873473156616784328820269452010163383160322196164542576730027065740009897220899633850072046324917888970435632518389205061955077<224>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f7abe56ba3c6 with GMP-ECM 7.0.5-dev on Thu Jun 16 14:28:32 2022 
Input number is 5107405738320564818987531921285864503530118672074508036653147063241700465675229082169145260627910470181763557157878924440438636022232236743277752741475138951479645485954634219618446747784287216463872615292173651795102899203845576085323719393120024034850533273246207 (265 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3217754674
Step 1 took 0ms
Step 2 took 14158ms
********** Factor found in step 2: 235973517221128970164421283517551505744691
Found prime factor of 42 digits: 235973517221128970164421283517551505744691
Composite cofactor 21643978521261155497886649611347178671802092466829817327904936221865610040760325497261620573226444873473156616784328820269452010163383160322196164542576730027065740009897220899633850072046324917888970435632518389205061955077 has 224 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 16, 2022 12:58:16 UTC 2022 年 6 月 16 日 (木) 21 時 58 分 16 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 15:24:20 UTC 2023 年 10 月 24 日 (火) 0 時 24 分 20 秒 (日本時間)

17×10270-53

c234

name 名前Dmitry Domanov
date 日付August 24, 2022 13:46:17 UTC 2022 年 8 月 24 日 (水) 22 時 46 分 17 秒 (日本時間)
composite number 合成数
601238285307711210554165724816758119481659903279167923555089026471376615518721614411246696705073559895340055718525297062196022131277013995941650138661891964376525994268335160414228344663103412675126944980631512656389178749631586454657<234>
prime factors 素因数
1453710115996281473590969984342365527<37>
composite cofactor 合成数の残り
413588843258244996343068499761181138620141963579856331660287150355164146698184936910914302910234461128482998224773082106754438051240694621527390394211742847335418575974779054295529346032250294857191<198>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ab3558ab9a40 with GMP-ECM 7.0.5-dev on Tue Aug 23 07:48:57 2022 
Input number is 601238285307711210554165724816758119481659903279167923555089026471376615518721614411246696705073559895340055718525297062196022131277013995941650138661891964376525994268335160414228344663103412675126944980631512656389178749631586454657 (234 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4021792206
Step 1 took 0ms
Step 2 took 8901ms
********** Factor found in step 2: 1453710115996281473590969984342365527
Found prime factor of 37 digits: 1453710115996281473590969984342365527
Composite cofactor 413588843258244996343068499761181138620141963579856331660287150355164146698184936910914302910234461128482998224773082106754438051240694621527390394211742847335418575974779054295529346032250294857191 has 198 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:39:12 UTC 2022 年 8 月 23 日 (火) 15 時 39 分 12 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 15:35:39 UTC 2023 年 10 月 24 日 (火) 0 時 35 分 39 秒 (日本時間)

17×10272-53

c259

name 名前Dmitry Domanov
date 日付June 18, 2022 08:47:41 UTC 2022 年 6 月 18 日 (土) 17 時 47 分 41 秒 (日本時間)
composite number 合成数
2216283758418728852758373247180219145232393845772276906609755375491811099340721427679794383501582685741879947477175436836770050373844925238592914327209294534430749776681817460897606257166477504712297413232545045083182710174953474585431508865522093804364437659<259>
prime factors 素因数
30568670502915095278194505655839733281<38>
composite cofactor 合成数の残り
72501804035192802583769528073039924899830152756665221136012251802072412452235616843012285925084495557934064079158511708327117970072340404375019636691933575859440285236382122877548031683573609952961696760183593627905703739<221>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f7abe56ba3c6 with GMP-ECM 7.0.5-dev on Thu Jun 16 14:33:00 2022 
Input number is 2216283758418728852758373247180219145232393845772276906609755375491811099340721427679794383501582685741879947477175436836770050373844925238592914327209294534430749776681817460897606257166477504712297413232545045083182710174953474585431508865522093804364437659 (259 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2344307083
Step 1 took 0ms
Step 2 took 15777ms
********** Factor found in step 2: 30568670502915095278194505655839733281
Found prime factor of 38 digits: 30568670502915095278194505655839733281
Composite cofactor 72501804035192802583769528073039924899830152756665221136012251802072412452235616843012285925084495557934064079158511708327117970072340404375019636691933575859440285236382122877548031683573609952961696760183593627905703739 has 221 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 16, 2022 12:58:24 UTC 2022 年 6 月 16 日 (木) 21 時 58 分 24 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 15:47:44 UTC 2023 年 10 月 24 日 (火) 0 時 47 分 44 秒 (日本時間)

17×10274-53

c228

composite cofactor 合成数の残り
768945804279454352055855978345013088538451479498765642340803228160232898309654799576743725531107680111781909428284946209767099209385879391199599497932636147623969266147054174886830286415656214871635148622232226180714810845419663<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:39:21 UTC 2022 年 8 月 23 日 (火) 15 時 39 分 21 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 16:05:08 UTC 2023 年 10 月 24 日 (火) 1 時 5 分 8 秒 (日本時間)

17×10275-53

c256

composite cofactor 合成数の残り
4126274787484030147943189449748876569305750188904958721122194737213821711618042777574670417978940171722501946340585026250867778344812804148227461023456866056314795561289137637893753532939341612758803585421063695060479647997992437535610718294373095984317797<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 16, 2022 12:58:32 UTC 2022 年 6 月 16 日 (木) 21 時 58 分 32 秒 (日本時間)
2350Ignacio SantosOctober 23, 2023 16:21:16 UTC 2023 年 10 月 24 日 (火) 1 時 21 分 16 秒 (日本時間)

17×10276-53

c245

composite cofactor 合成数の残り
67718947587116475033392563103791422783121862635195340469015283805592575598470563460266763126464916851942216496184518506101186108244979135555610259791132980723232172599601207446190963503414023952803910220272550294251759227068958594344853348955677<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:39:29 UTC 2022 年 8 月 23 日 (火) 15 時 39 分 29 秒 (日本時間)
2350Ignacio SantosOctober 24, 2023 06:22:54 UTC 2023 年 10 月 24 日 (火) 15 時 22 分 54 秒 (日本時間)

17×10279-53

c232

name 名前Dmitry Domanov
date 日付August 25, 2022 15:36:38 UTC 2022 年 8 月 26 日 (金) 0 時 36 分 38 秒 (日本時間)
composite number 合成数
9889789203088962758862616050466606794950732664216952733094023468927285079328374358878451194972475045498070478231895779780984937034700177498078095777392901311515919821297668046325292116977006969461658918430855662702548600157497305813<232>
prime factors 素因数
1019131870498893431248309686808101573144771541<46>
9704131025014099043443863275262942334727086986731512148563255419819240912181793767786546167965864502718326331587319915500452073683521394212521201449116601571271472452404757075330586702593<187>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ab3558ab9a40 with GMP-ECM 7.0.5-dev on Tue Aug 23 08:00:49 2022 
Input number is 9889789203088962758862616050466606794950732664216952733094023468927285079328374358878451194972475045498070478231895779780984937034700177498078095777392901311515919821297668046325292116977006969461658918430855662702548600157497305813 (232 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2525244595
Step 1 took 0ms
Step 2 took 9046ms
********** Factor found in step 2: 1019131870498893431248309686808101573144771541
Found prime factor of 46 digits: 1019131870498893431248309686808101573144771541
Prime cofactor 9704131025014099043443863275262942334727086986731512148563255419819240912181793767786546167965864502718326331587319915500452073683521394212521201449116601571271472452404757075330586702593 has 187 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 23, 2022 06:39:35 UTC 2022 年 8 月 23 日 (火) 15 時 39 分 35 秒 (日本時間)

17×10281-53

c223

composite cofactor 合成数の残り
1020490113581485524167055893282161538639766907004083921410600631458994521926115074297817359284542322329044892889178373465081461047589964796634566892239814159792614075424166297131352736385109143818004442083269720153419679571<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:39:43 UTC 2022 年 8 月 23 日 (火) 15 時 39 分 43 秒 (日本時間)
2350Ignacio SantosOctober 24, 2023 06:23:09 UTC 2023 年 10 月 24 日 (火) 15 時 23 分 9 秒 (日本時間)

17×10282-53

c281

composite cofactor 合成数の残り
59649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 28, 2022 22:02:49 UTC 2022 年 5 月 29 日 (日) 7 時 2 分 49 秒 (日本時間)
2350Ignacio SantosOctober 24, 2023 06:44:26 UTC 2023 年 10 月 24 日 (火) 15 時 44 分 26 秒 (日本時間)

17×10283-53

c275

composite cofactor 合成数の残り
15213522111718520974617369974168839993249294884236486735861872881732664059889611999079576542762637109792952192785147238464890630340792233720332268817686154024657336545568296959374773926781759529842314962084070432394890756778584678082169674630340083462572539264781692215376449<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 28, 2022 22:02:58 UTC 2022 年 5 月 29 日 (日) 7 時 2 分 58 秒 (日本時間)
2350Ignacio SantosOctober 24, 2023 06:56:54 UTC 2023 年 10 月 24 日 (火) 15 時 56 分 54 秒 (日本時間)

17×10284-53

c225

composite cofactor 合成数の残り
102935821069032009549170777557013520522267835094679888084140641185888423819237647258755163807226162445574186002696559842219615007745708143595347792266752194134658738038606642883989914867471903065614350689360950418127683863939<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:39:50 UTC 2022 年 8 月 23 日 (火) 15 時 39 分 50 秒 (日本時間)
2350Ignacio SantosOctober 24, 2023 07:21:36 UTC 2023 年 10 月 24 日 (火) 16 時 21 分 36 秒 (日本時間)

17×10288-53

c251

composite cofactor 合成数の残り
79037938342077457173150107719071986477866220263984670000424217786220477902728736103836958257382690950816193011348451133867106748838575311538833381423627820099619989566727497000347123442938104533565698464397242034630032368356382053724081217237284447867<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 16, 2022 12:58:39 UTC 2022 年 6 月 16 日 (木) 21 時 58 分 39 秒 (日本時間)
2350Ignacio SantosOctober 24, 2023 07:29:08 UTC 2023 年 10 月 24 日 (火) 16 時 29 分 8 秒 (日本時間)

17×10289-53

c246

name 名前Dmitry Domanov
date 日付August 24, 2022 00:48:34 UTC 2022 年 8 月 24 日 (水) 9 時 48 分 34 秒 (日本時間)
composite number 合成数
276885042584358811016408419845315807023911921013122781032305435892361340549378906098759441414091513430218724504324927148591347133914612711637939204495619776777235322901983579255251815174571843190489251990406562129231814482283607375311905370811297<246>
prime factors 素因数
25087422359944943442174914364934426064823877<44>
composite cofactor 合成数の残り
11036807154267022099423913911446089082094444196981709350018609875737185226411935807411856273209991591703019582541280718717576794395214987537347972828999802916451373916474706118748446345986900376310252461<203>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ab3558ab9a40 with GMP-ECM 7.0.5-dev on Tue Aug 23 08:11:10 2022 
Input number is 276885042584358811016408419845315807023911921013122781032305435892361340549378906098759441414091513430218724504324927148591347133914612711637939204495619776777235322901983579255251815174571843190489251990406562129231814482283607375311905370811297 (246 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2464410571
Step 1 took 0ms
Step 2 took 9021ms
********** Factor found in step 2: 25087422359944943442174914364934426064823877
Found prime factor of 44 digits: 25087422359944943442174914364934426064823877
Composite cofactor 11036807154267022099423913911446089082094444196981709350018609875737185226411935807411856273209991591703019582541280718717576794395214987537347972828999802916451373916474706118748446345986900376310252461 has 203 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:39:57 UTC 2022 年 8 月 23 日 (火) 15 時 39 分 57 秒 (日本時間)
2350Ignacio SantosOctober 24, 2023 07:37:18 UTC 2023 年 10 月 24 日 (火) 16 時 37 分 18 秒 (日本時間)

17×10292-53

c272

composite cofactor 合成数の残り
13467425187685162521171372378804732695444311043311689209823467112895619932829085309788090784967374866120435781391121141575600462874939920249255304670759728184384091211708953304131330078525590877103633190980068950894369249432230738853310225147448951159142248440951273863221<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 28, 2022 22:03:06 UTC 2022 年 5 月 29 日 (日) 7 時 3 分 6 秒 (日本時間)
2350Ignacio SantosOctober 24, 2023 07:57:09 UTC 2023 年 10 月 24 日 (火) 16 時 57 分 9 秒 (日本時間)

17×10293-53

c217

composite cofactor 合成数の残り
3737948502785387413788266772276257692113668448242270884683109124855413231421277135057284704238271371193191410585665961805979598223804469005984195130495238510112918147387774092430413359178482382614959598257534102110007<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 24, 2022 08:48:49 UTC 2022 年 8 月 24 日 (水) 17 時 48 分 49 秒 (日本時間)
2350Ignacio SantosOctober 24, 2023 09:06:50 UTC 2023 年 10 月 24 日 (火) 18 時 6 分 50 秒 (日本時間)

17×10294-53

c292

composite cofactor 合成数の残り
4992657856093979441997063142437591776798825256975036710719530102790014684287812041116005873715124816446402349486049926578560939794419970631424375917767988252569750367107195301027900146842878120411160058737151248164464023494860499265785609397944199706314243759177679882525697503671071953010279<292>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 28, 2022 22:03:15 UTC 2022 年 5 月 29 日 (日) 7 時 3 分 15 秒 (日本時間)
2350Ignacio SantosOctober 24, 2023 09:07:02 UTC 2023 年 10 月 24 日 (火) 18 時 7 分 2 秒 (日本時間)

17×10295-53

c256

composite cofactor 合成数の残り
3062979727222010063510542969229634126220016229227786629056572901931269491197915300842479125077749708585289447405524780816224074794567444053099697808631347289880937050103284490565644516998763485438652033073656826970046556194383312528903214623855956207047181<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 16, 2022 12:58:47 UTC 2022 年 6 月 16 日 (木) 21 時 58 分 47 秒 (日本時間)
2350Ignacio SantosOctober 24, 2023 09:07:31 UTC 2023 年 10 月 24 日 (火) 18 時 7 分 31 秒 (日本時間)

17×10296-53

c290

composite cofactor 合成数の残り
53359171727548696914097854129521228554124954311209208286428267303712401597448050530507871027115404745796121196256132185106733252635433032434686412071225705686816502359652430910465977799759664012989505663369854547606032913506508955787688877735775739562043612334317810051706606791398438742023<290>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 28, 2022 22:03:24 UTC 2022 年 5 月 29 日 (日) 7 時 3 分 24 秒 (日本時間)
2350Ignacio SantosOctober 24, 2023 09:07:42 UTC 2023 年 10 月 24 日 (火) 18 時 7 分 42 秒 (日本時間)

17×10298-53

c245

composite cofactor 合成数の残り
19041628995991346884134440138254859548737183206418964827276728570786117219126907160780567398831650774945325707402044115858409779094773105405386878767097090167281951580056565650493869635676823636368390919455753060285240776513284728803580470784859<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:40:05 UTC 2022 年 8 月 23 日 (火) 15 時 40 分 5 秒 (日本時間)
2350Ignacio SantosOctober 24, 2023 09:14:02 UTC 2023 年 10 月 24 日 (火) 18 時 14 分 2 秒 (日本時間)