3443388482777697502163738810997444139894472237224630200880616654110118907544360097930000698844817572230384236838239544276369<124>

1229703685613870565482097442621203311966911738729487<52>
2800177411079931025313554235270821858708785199889560692524686905876053087<73>

Number: trial
N=3443388482777697502163738810997444139894472237224630200880616654110118907544360097930000698844817572230384236838239544276369
  ( 124 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=1229703685613870565482097442621203311966911738729487 (pp52)
 r2=2800177411079931025313554235270821858708785199889560692524686905876053087 (pp73)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 63.39 hours.
Scaled time: 32.45 units (timescale=0.512).
Factorization parameters were as follows:
n: 3443388482777697502163738810997444139894472237224630200880616654110118907544360097930000698844817572230384236838239544276369
m: 10000000000000000000000000000000
c5: 5
c0: -14
skew: 1.23
type: snfsFactor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2600001)
Primes: RFBsize:216816, AFBsize:217381, largePrimes:5516679 encountered
Relations: rels:5409954, finalFF:500848
Max relations in full relation-set: 0
Initial matrix: 434262 x 500848 with sparse part having weight 38610131.
Pruned matrix : 391194 x 393429 with weight 26929819.
Total sieving time: 48.84 hours.
Total relation processing time: 0.47 hours.
Matrix solve time: 13.72 hours.
Time per square root: 0.35 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 63.39 hours.
 --------- CPU info (if available) ----------

GGNFS-0.77.1-20060722-pentium4

Pentium 4 3.20 GHz, 1 Gig RAM, Windows XP and Cygwin

339883329838274876627404891772536715222229406033570353904935102531895001966367483580976478361229259406097110234232438139054308885663<132>

5881365932046077344716432736879<31>
57789862723272576198135690999645341036774247444723327437699375463079889097341640177561574510207039697<101>

Number: n
N=339883329838274876627404891772536715222229406033570353904935102531895001966367483580976478361229259406097110234232438139054308885663
  ( 132 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=5881365932046077344716432736879 (pp31)
 r2=57789862723272576198135690999645341036774247444723327437699375463079889097341640177561574510207039697 (pp101)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 22.44 hours.
Scaled time: 29.59 units (timescale=1.319).
Factorization parameters were as follows:
name: KA_2_7_155
n: 339883329838274876627404891772536715222229406033570353904935102531895001966367483580976478361229259406097110234232438139054308885663
skew: 0.78
deg: 5
c5: 25
c0: -7
m: 10000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1000001)
Primes: RFBsize:216816, AFBsize:216906, largePrimes:6631137 encountered
Relations: rels:6138516, finalFF:516545
Max relations in full relation-set: 48
Initial matrix: 433786 x 516545 with sparse part having weight 31142732.
Pruned matrix : 360553 x 362785 with weight 16512544.
Total sieving time: 19.62 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 2.53 hours.
Total square root time: 0.06 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 22.44 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

880003334622120780172928927073391380930005172460332953734112827013875311148038362272613350585184255071644679010057002713131631668264172606542188409<147>

4362956850742075039517980258627<31>
100040644971784701090248442620273077603<39>
2016168926089972285768717434483905209452257464658912852672219715284978714326289<79>

GMP-ECM 5.0 [powered by GMP 4.1.2] [ECM]
Input number is 880003334622120780172928927073391380930005172460332953734112827013875311148038362272613350585184255071644679010057002713131631668264172606542188409 (147 digits)
Using B1=279500, B2=136532280, polynomial Dickson(3), sigma=3418482080
Step 1 took 5189ms
Step 2 took 3504ms
********** Factor found in step 2: 4362956850742075039517980258627
Found probable prime factor of 31 digits: 4362956850742075039517980258627
Composite cofactor 201698839738111346598245449662845767379155709069337757167949988551149010999369395160375932656925829223251424760005267 has 117 digits


GMP-ECM 5.0 [powered by GMP 4.1.2] [ECM]
Input number is 201698839738111346598245449662845767379155709069337757167949988551149010999369395160375932656925829223251424760005267 (117 digits)
Using B1=910500, B2=734560133, polynomial Dickson(3), sigma=2570543812
Step 1 took 12767ms
Step 2 took 8864ms
********** Factor found in step 2: 100040644971784701090248442620273077603
Found probable prime factor of 39 digits: 100040644971784701090248442620273077603
Probable prime cofactor 2016168926089972285768717434483905209452257464658912852672219715284978714326289 has 79 digits

327097171788929430479622084869129690697740912748786682229340262241719606549744366710334791145444653101642953787249946765260803343440926759973<141>

883323744340659477525559747044983470768166295315797627245668926714929<69>
370302704851532106577899935747396428452827041176147028833284274712784437<72>

Number: n
N=327097171788929430479622084869129690697740912748786682229340262241719606549744366710334791145444653101642953787249946765260803343440926759973
  ( 141 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=883323744340659477525559747044983470768166295315797627245668926714929 (pp69)
 r2=370302704851532106577899935747396428452827041176147028833284274712784437 (pp72)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 36.41 hours.
Scaled time: 49.70 units (timescale=1.365).
Factorization parameters were as follows:
name: KA_2_7_160
n: 327097171788929430479622084869129690697740912748786682229340262241719606549744366710334791145444653101642953787249946765260803343440926759973
skew: 0.78
deg: 5
c5: 25
c0: -7
m: 100000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1500001)
Primes: RFBsize:250150, AFBsize:250196, largePrimes:7112312 encountered
Relations: rels:6671455, finalFF:592115
Max relations in full relation-set: 28
Initial matrix: 500410 x 592115 with sparse part having weight 34549711.
Pruned matrix : 418302 x 420868 with weight 20091437.
Total sieving time: 33.04 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 3.04 hours.
Total square root time: 0.10 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 36.41 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

7509540705228460579501744175336393089041112345890300415888315684036587833357736324325672023943312297147350437775551776689553596077189<133>

2540772921047677915010225799850512679<37>
2955612696837122473621797379554555189784507453027799522994334517349252054962930031497122170904691<97>

A factor was found for (25*10^161-7)/9 using GMP-ECM using factor method ECM
   Candidate number: 7509540705228460579501744175336393089041112345890300415888315684036587833357736324325672023943312297147350437775551776689553596077189
   Factor: 2540772921047677915010225799850512679
   Factor Type: probable
   Factor Length: 37
   Co-Factor: 2955612696837122473621797379554555189784507453027799522994334517349252054962930031497122170904691
   Co-Factor Type: Probable
   Co-Factor Length: 97
   B1: 3000000
   Sigma: 3780940016
   Finder: j_m_berg@yahoo.com
   Found on machine: Office2400AMD

195909984160811777648449245166094946627791303639805047323851903134671514062393195776987572092278145717372361455288105058731445223327494799046279<144>

757834905954475759153120346779<30>
258512748121660648679500730489730055051223230946990605506285956104708110213970081444008373211813972771066168890501<114>

A factor was found for (25*10^162-7)/9 using GMP-ECM using factor method ECM
   Candidate number: 195909984160811777648449245166094946627791303639805047323851903134671514062393195776987572092278145717372361455288105058731445223327494799046279
   Factor: 757834905954475759153120346779
   Factor Type: probable
   Factor Length: 30
   Co-Factor: 258512748121660648679500730489730055051223230946990605506285956104708110213970081444008373211813972771066168890501
   Co-Factor Type: Probable
   Co-Factor Length: 114
   B1: 1000000
   Sigma: 2957269545
   Finder: j_m_berg@yahoo.com
   Found on machine: MainBox

19411444987964904107461759453373709138908300333876853792996350648342262598027797189222765742681885239537231151486916686078111654631570774128426120040375805574967<161>

5784099087847801999595098935811677620966410670797411<52>
3356001460754311479240774153689287838703249898666255530643269682857515657144061974783366037668112153528135197<109>

Number: n
N=19411444987964904107461759453373709138908300333876853792996350648342262598027797189222765742681885239537231151486916686078111654631570774128426120040375805574967
  ( 161 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=5784099087847801999595098935811677620966410670797411 (pp52)
 r2=3356001460754311479240774153689287838703249898666255530643269682857515657144061974783366037668112153528135197 (pp109)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 55.82 hours.
Scaled time: 81.11 units (timescale=1.453).
Factorization parameters were as follows:
name: KA_2_7_163
n: 19411444987964904107461759453373709138908300333876853792996350648342262598027797189222765742681885239537231151486916686078111654631570774128426120040375805574967
skew: 0.97
deg: 5
c5: 8
c0: -7
m: 500000000000000000000000000000000
type: snfs
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 2100001)
Primes: RFBsize:283146, AFBsize:282602, largePrimes:5499517 encountered
Relations: rels:5503640, finalFF:637582
Max relations in full relation-set: 28
Initial matrix: 565813 x 637582 with sparse part having weight 38094152.
Pruned matrix : 501050 x 503943 with weight 25009807.
Total sieving time: 41.68 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 13.81 hours.
Total square root time: 0.14 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.5,2.5,100000
total time: 55.82 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

30823044605591338486772528468080215864221880056493623390494021588481356096730350429012600680064293390882554678466909555819589219907302066966191429053<149>

202665523211650989063300380086943340369476928178393708116016987186139<69>
152088249235178053009249905689353519859990659090201830262384603581442406000454727<81>

Number: n
N=30823044605591338486772528468080215864221880056493623390494021588481356096730350429012600680064293390882554678466909555819589219907302066966191429053
  ( 149 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=202665523211650989063300380086943340369476928178393708116016987186139 (pp69)
 r2=152088249235178053009249905689353519859990659090201830262384603581442406000454727 (pp81)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 63.84 hours.
Scaled time: 83.38 units (timescale=1.306).
Factorization parameters were as follows:
name: KA_2_7_164
n: 30823044605591338486772528468080215864221880056493623390494021588481356096730350429012600680064293390882554678466909555819589219907302066966191429053
skew: 1.23
deg: 5
c5: 5
c0: -14
m: 1000000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 2800001)
Primes: RFBsize:216816, AFBsize:217381, largePrimes:7523615 encountered
Relations: rels:7019729, finalFF:495769
Max relations in full relation-set: 28
Initial matrix: 434262 x 495769 with sparse part having weight 44468095.
Pruned matrix : 406710 x 408945 with weight 32940913.
Total sieving time: 58.95 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 4.48 hours.
Total square root time: 0.14 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 63.84 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

5082688745602329199646995527497093711990804223770097186377627047459527945172568447189801415524294879300838843872698990605427981450431922981<139>

26841431788288106581500307455836598045271854373<47>

189359821998023639433196029818337369944098310651646127033896205015214673371291949815173725697<93>

A factor was found for (25*10^165-7)/9 using GMP-ECM using factor method ECM
   Candidate number: 5082688745602329199646995527497093711990804223770097186377627047459527945172568447189801415524294879300838843872698990605427981450431922981
   Factor: 26841431788288106581500307455836598045271854373
   Factor Type: probable
   Factor Length: 47
   Co-Factor: 189359821998023639433196029818337369944098310651646127033896205015214673371291949815173725697
   Co-Factor Type: Composite
   Co-Factor Length: 93
   B1: 3000000
   Sigma: 1593296484
   Finder: j_m_berg@yahoo.com
   Found on machine: Test2A

189359821998023639433196029818337369944098310651646127033896205015214673371291949815173725697<93>

47762472444603047641362563601969990683449099<44>
3964615152987551810337697840608378229741533181603<49>

Fri Jul 27 00:00:02 2007  
Fri Jul 27 00:00:02 2007  
Fri Jul 27 00:00:02 2007  Msieve v. 1.25
Fri Jul 27 00:00:02 2007  random seeds: 2bd8376f a00d4807
Fri Jul 27 00:00:02 2007  factoring 189359821998023639433196029818337369944098310651646127033896205015214673371291949815173725697 (93 digits)
Fri Jul 27 00:00:02 2007  commencing quadratic sieve (92-digit input)
Fri Jul 27 00:00:02 2007  using multiplier of 1
Fri Jul 27 00:00:02 2007  using 32kb Intel Core sieve core
Fri Jul 27 00:00:02 2007  sieve interval: 36 blocks of size 32768
Fri Jul 27 00:00:02 2007  processing polynomials in batches of 6
Fri Jul 27 00:00:02 2007  using a sieve bound of 1888763 (70588 primes)
Fri Jul 27 00:00:02 2007  using large prime bound of 220985271 (27 bits)
Fri Jul 27 00:00:02 2007  using double large prime bound of 1046776511774331 (42-50 bits)
Fri Jul 27 00:00:02 2007  using trial factoring cutoff of 50 bits
Fri Jul 27 00:00:02 2007  polynomial 'A' values have 12 factors
Fri Jul 27 01:44:58 2007  70722 relations (18185 full + 52537 combined from 929745 partial), need 70684
Fri Jul 27 01:44:59 2007  begin with 947930 relations
Fri Jul 27 01:44:59 2007  reduce to 179343 relations in 10 passes
Fri Jul 27 01:44:59 2007  attempting to read 179343 relations
Fri Jul 27 01:45:01 2007  recovered 179343 relations
Fri Jul 27 01:45:01 2007  recovered 160005 polynomials
Fri Jul 27 01:45:01 2007  attempting to build 70722 cycles
Fri Jul 27 01:45:01 2007  found 70722 cycles in 6 passes
Fri Jul 27 01:45:01 2007  distribution of cycle lengths:
Fri Jul 27 01:45:01 2007     length 1 : 18185
Fri Jul 27 01:45:01 2007     length 2 : 12896
Fri Jul 27 01:45:01 2007     length 3 : 12122
Fri Jul 27 01:45:01 2007     length 4 : 9485
Fri Jul 27 01:45:01 2007     length 5 : 6891
Fri Jul 27 01:45:01 2007     length 6 : 4485
Fri Jul 27 01:45:01 2007     length 7 : 2866
Fri Jul 27 01:45:01 2007     length 9+: 3792
Fri Jul 27 01:45:01 2007  largest cycle: 24 relations
Fri Jul 27 01:45:01 2007  matrix is 70588 x 70722 with weight 4300045 (avg 60.80/col)
Fri Jul 27 01:45:02 2007  filtering completed in 3 passes
Fri Jul 27 01:45:02 2007  matrix is 66700 x 66763 with weight 4091463 (avg 61.28/col)
Fri Jul 27 01:45:03 2007  saving the first 48 matrix rows for later
Fri Jul 27 01:45:03 2007  matrix is 66652 x 66763 with weight 3180982 (avg 47.65/col)
Fri Jul 27 01:45:03 2007  matrix includes 64 packed rows
Fri Jul 27 01:45:03 2007  using block size 26705 for processor cache size 4096 kB
Fri Jul 27 01:45:03 2007  commencing Lanczos iteration
Fri Jul 27 01:45:24 2007  lanczos halted after 1056 iterations
Fri Jul 27 01:45:24 2007  recovered 17 nontrivial dependencies
Fri Jul 27 01:45:25 2007  prp44 factor: 47762472444603047641362563601969990683449099
Fri Jul 27 01:45:25 2007  prp49 factor: 3964615152987551810337697840608378229741533181603
Fri Jul 27 01:45:25 2007  elapsed time 01:45:23

Core 2 Quad Q6600

5186713368758300521430762822281348770853250481531789730291175871565120248068463266234577608694125534748409318763741232857122550588944095376849<142>

947954614376246137517748334624309<33>

5471478581462633018677789162246038606727580138540073007104958991038578407898337844421297328962275304272166061<109>

A factor was found for (25*10^168-7)/9 using GMP-ECM using factor method ECM
   Candidate number: 5186713368758300521430762822281348770853250481531789730291175871565120248068463266234577608694125534748409318763741232857122550588944095376849
   Factor: 947954614376246137517748334624309
   Factor Type: probable
   Factor Length: 33
   Co-Factor: 5471478581462633018677789162246038606727580138540073007104958991038578407898337844421297328962275304272166061
   Co-Factor Type: Composite
   Co-Factor Length: 109
   B1: 1000000
   Sigma: 2439471714
   Finder: j_m_berg@yahoo.com
   Found on machine: Office2400AMD

2830383446791329213045810558076746303928335194452563864665352732692769492808311351008681355733769971965505177430248037706301<124>

2876888773808448545612389450797680965722057990005266781<55>
983834854012949827795189415448811266443835744019552456282786436621921<69>

Number: 27777_170
N=2830383446791329213045810558076746303928335194452563864665352732692769492808311351008681355733769971965505177430248037706301
  ( 124 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=2876888773808448545612389450797680965722057990005266781
 r2=983834854012949827795189415448811266443835744019552456282786436621921
Version: 
Total time: 28.60 hours.
Scaled time: 68.21 units (timescale=2.385).
Factorization parameters were as follows:
n: 2830383446791329213045810558076746303928335194452563864665352732692769492808311351008681355733769971965505177430248037706301
m: 10000000000000000000000000000000000
deg: 5
c5: 25
c0: -7
skew: 0.78
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 5000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10897777
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 858756 x 859004
Total sieving time: 25.55 hours.
Total relation processing time: 1.16 hours.
Matrix solve time: 1.69 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000
total time: 28.60 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673802)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
Calibrating delay using timer specific routine.. 5344.72 BogoMIPS (lpj=2672363)
Calibrating delay using timer specific routine.. 5535.15 BogoMIPS (lpj=2767578)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

11560678780903884049315790197775622832123616585172838049445501479085984627243164623826865145602612636095756185478002333079<122>

197487969842997416603481017802302838281<39>
58538648152060113017157905351021224725745777751121568986210159879682035562955814559<83>

A factor was found for (25*10^171-7)/9 using GMP-ECM using factor method ECM
   Candidate number: 11560678780903884049315790197775622832123616585172838049445501479085984627243164623826865145602612636095756185478002333079
   Factor: 197487969842997416603481017802302838281
   Factor Type: probable
   Factor Length: 39
   Co-Factor: 58538648152060113017157905351021224725745777751121568986210159879682035562955814559
   Co-Factor Type: Probable
   Co-Factor Length: 83
   B1: 3000000
   Sigma: 2638879017
   Finder: j_m_berg@yahoo.com
   Found on machine: Test2B

245515761720750125708632945704554538633108891790470847981646125326755963972030498164784835533201757724108296396471150428893<123>

116405331338301067025460027374215198811209<42>
2109145336369723547308865649415737033622345460437054290338930752168934409301836277<82>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 245515761720750125708632945704554538633108891790470847981646125326755963972030498164784835533201757724108296396471150428893 (123 digits)
Using B1=5312000, B2=9065984967, polynomial Dickson(6), sigma=2828052271
Step 1 took 57515ms
Step 2 took 31969ms
********** Factor found in step 2: 116405331338301067025460027374215198811209
Found probable prime factor of 42 digits: 116405331338301067025460027374215198811209
Probable prime cofactor 2109145336369723547308865649415737033622345460437054290338930752168934409301836277 has 82 digits

2211751408592132513012465538091794370949778427826019610705435945439097731024403150457030343963600129205777384802505160170331950216529354258446648095777<151>

147538874768229210393236316231919<33>
14990973816674434798810951647946982968321498302818159656670508001237850390226986288400829699930440359734410720309273583<119>

A factor was found for (25*10^173-7)/9 using GMP-ECM using factor method ECM
   Candidate number: 2211751408592132513012465538091794370949778427826019610705435945439097731024403150457030343963600129205777384802505160170331950216529354258446648095777
   Factor: 147538874768229210393236316231919
   Factor Type: probable
   Factor Length: 33
   Co-Factor: 14990973816674434798810951647946982968321498302818159656670508001237850390226986288400829699930440359734410720309273583
   Co-Factor Type: Probable
   Co-Factor Length: 119
   B1: 1000000
   Sigma: 626925759
   Finder: j_m_berg@yahoo.com
   Found on machine: Office2400AMD

1013828254725014427273654043837155162463022560367237332813042265111689284124833529031306757937748535386973837042191666441612102597311048174735121<145>

715225232868316899641052265050089952787170723743<48>
1417495088448137253099522004492626867997548909758191788304755190934242084156753638488439513754447<97>

N=1013828254725014427273654043837155162463022560367237332813042265111689284124833529031306757937748535386973837042191666441612102597311048174735121
  ( 145 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=715225232868316899641052265050089952787170723743 (pp48)
 r2=1417495088448137253099522004492626867997548909758191788304755190934242084156753638488439513754447 (pp97)
Version: Msieve-1.40
Total time: 59.10 hours.
Scaled time: 110.27 units (timescale=1.866).
Factorization parameters were as follows:
n: 1013828254725014427273654043837155162463022560367237332813042265111689284124833529031306757937748535386973837042191666441612102597311048174735121
m: 100000000000000000000000000000000000
deg: 5
c5: 25
c0: -7
skew: 0.78
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 240000Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3050000, 5930001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1040018 x 1040244
Total sieving time: 57.64 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.21 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 59.10 hours.
 --------- CPU info (if available) ----------

614754084698552200144749020105599313950734791368947158513796536312000423222689771714543536902465418673817187224283548572244934947121169<135>

250364392061117480432331832411240313552347<42>

2455437371255581962526922265114020960306360460563718242524031556201268139958057995992232727427<94>

A factor was found for (25*10^176-7)/9 using GMP-ECM using factor method ECM
   Candidate number: 614754084698552200144749020105599313950734791368947158513796536312000423222689771714543536902465418673817187224283548572244934947121169
   Factor: 250364392061117480432331832411240313552347
   Factor Type: probable
   Factor Length: 42
   Co-Factor: 2455437371255581962526922265114020960306360460563718242524031556201268139958057995992232727427
   Co-Factor Type: Composite
   Co-Factor Length: 94
   B1: 1000000
   Sigma: 1791630344
   Finder: j_m_berg@yahoo.com
   Found on machine: Test2B

2455437371255581962526922265114020960306360460563718242524031556201268139958057995992232727427<94>

3963347185486060546396209546732592561<37>
619536279901870322724589710902400805635161682525735259507<57>

Fri Jul 27 01:51:19 2007  
Fri Jul 27 01:51:19 2007  
Fri Jul 27 01:51:19 2007  Msieve v. 1.25
Fri Jul 27 01:51:19 2007  random seeds: a432810d 7a7c1870
Fri Jul 27 01:51:19 2007  factoring 2455437371255581962526922265114020960306360460563718242524031556201268139958057995992232727427 (94 digits)
Fri Jul 27 01:51:19 2007  commencing quadratic sieve (94-digit input)
Fri Jul 27 01:51:19 2007  using multiplier of 3
Fri Jul 27 01:51:19 2007  using 32kb Intel Core sieve core
Fri Jul 27 01:51:19 2007  sieve interval: 36 blocks of size 32768
Fri Jul 27 01:51:19 2007  processing polynomials in batches of 6
Fri Jul 27 01:51:19 2007  using a sieve bound of 2023097 (75294 primes)
Fri Jul 27 01:51:19 2007  using large prime bound of 271094998 (28 bits)
Fri Jul 27 01:51:19 2007  using double large prime bound of 1512232961643520 (42-51 bits)
Fri Jul 27 01:51:19 2007  using trial factoring cutoff of 51 bits
Fri Jul 27 01:51:19 2007  polynomial 'A' values have 12 factors
Fri Jul 27 03:46:55 2007  75609 relations (19298 full + 56311 combined from 1057051 partial), need 75390
Fri Jul 27 03:46:55 2007  begin with 1076349 relations
Fri Jul 27 03:46:56 2007  reduce to 193033 relations in 11 passes
Fri Jul 27 03:46:56 2007  attempting to read 193033 relations
Fri Jul 27 03:46:58 2007  recovered 193033 relations
Fri Jul 27 03:46:58 2007  recovered 172661 polynomials
Fri Jul 27 03:46:58 2007  attempting to build 75609 cycles
Fri Jul 27 03:46:58 2007  found 75609 cycles in 5 passes
Fri Jul 27 03:46:58 2007  distribution of cycle lengths:
Fri Jul 27 03:46:58 2007     length 1 : 19298
Fri Jul 27 03:46:58 2007     length 2 : 13639
Fri Jul 27 03:46:58 2007     length 3 : 12851
Fri Jul 27 03:46:58 2007     length 4 : 10149
Fri Jul 27 03:46:58 2007     length 5 : 7572
Fri Jul 27 03:46:58 2007     length 6 : 4979
Fri Jul 27 03:46:58 2007     length 7 : 3073
Fri Jul 27 03:46:58 2007     length 9+: 4048
Fri Jul 27 03:46:58 2007  largest cycle: 19 relations
Fri Jul 27 03:46:58 2007  matrix is 75294 x 75609 with weight 4735754 (avg 62.63/col)
Fri Jul 27 03:46:59 2007  filtering completed in 3 passes
Fri Jul 27 03:46:59 2007  matrix is 71057 x 71120 with weight 4477233 (avg 62.95/col)
Fri Jul 27 03:47:00 2007  saving the first 48 matrix rows for later
Fri Jul 27 03:47:00 2007  matrix is 71009 x 71120 with weight 3452561 (avg 48.55/col)
Fri Jul 27 03:47:00 2007  matrix includes 64 packed rows
Fri Jul 27 03:47:00 2007  using block size 28448 for processor cache size 4096 kB
Fri Jul 27 03:47:00 2007  commencing Lanczos iteration
Fri Jul 27 03:47:26 2007  lanczos halted after 1125 iterations
Fri Jul 27 03:47:26 2007  recovered 15 nontrivial dependencies
Fri Jul 27 03:47:26 2007  prp37 factor: 3963347185486060546396209546732592561
Fri Jul 27 03:47:26 2007  prp57 factor: 619536279901870322724589710902400805635161682525735259507
Fri Jul 27 03:47:26 2007  elapsed time 01:56:07

Core 2 Quad Q6600

4383118309451489550719433291146851053966308014977897733317485767170798058075286825744149577571545145338380675861554640063420249835349599736481<142>

43536285876298536295796942786271124094795456168460328949598802363<65>
100677359614585091087421412783027990551805306479865032877482510411430049794387<78>

N=4383118309451489550719433291146851053966308014977897733317485767170798058075286825744149577571545145338380675861554640063420249835349599736481
  ( 142 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=43536285876298536295796942786271124094795456168460328949598802363 (pp65)
 r2=100677359614585091087421412783027990551805306479865032877482510411430049794387 (pp78)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 70.68 hours.
Scaled time: 135.99 units (timescale=1.924).
Factorization parameters were as follows:
n: 4383118309451489550719433291146851053966308014977897733317485767170798058075286825744149577571545145338380675861554640063420249835349599736481
m: 500000000000000000000000000000000000
deg: 5
c5: 4
c0: -35
skew: 1.54
# Murphy_E = 1.408e-10
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3400000, 7000001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1311122 x 1311353
Total sieving time: 68.31 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.96 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 70.68 hours.
 --------- CPU info (if available) ----------

713121581854564574991420107603592623656586574828387695230950994244534874794142257267549425617543925343657073860095969841931203210312410795526748032471571749<156>

4831021590655058045794858963371371197422184515727255984723<58>
147612998301228766148051380607270941858080356529978532120948415868188761064085424378138352302615463<99>

N=713121581854564574991420107603592623656586574828387695230950994244534874794142257267549425617543925343657073860095969841931203210312410795526748032471571749
  ( 156 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=4831021590655058045794858963371371197422184515727255984723 (pp58)
 r2=147612998301228766148051380607270941858080356529978532120948415868188761064085424378138352302615463 (pp99)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 93.22 hours.
Scaled time: 179.08 units (timescale=1.921).
Factorization parameters were as follows:
n: 713121581854564574991420107603592623656586574828387695230950994244534874794142257267549425617543925343657073860095969841931203210312410795526748032471571749
m: 500000000000000000000000000000000000
deg: 5
c5: 80
c0: -7
skew: 0.61
# Murphy_E = 1.143e-10
type: snfs
lss: 1
rlim: 7100000
alim: 7100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7100000/7100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3550000, 8350001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1317885 x 1318119
Total sieving time: 91.15 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.72 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7100000,7100000,28,28,53,53,2.5,2.5,100000
total time: 93.22 hours.
 --------- CPU info (if available) ----------

66896806461878710796832679064422384310950996367415124066562133159772730778649632406338049000432758098143046045967103451061760842964646826474384151315318363258498901579951<170>

18470961602412156590684680364912916293<38>
3621728413595020127934729686179752937236914591769684906994555969901118223512872261753854263218760544399218998367476041945127627646307<133>

Using B1=1000000, B2=1045563762, polynomial Dickson(12), sigma=2231694514
Step 1 took 31734ms
Step 2 took 22625ms
********** Factor found in step 2: 18470961602412156590684680364912916293
Found probable prime factor of 38 digits: 18470961602412156590684680364912916293
Probable prime cofactor 3621728413595020127934729686179752937236914591769684906994555969901118223512872261753854263218760544399218998367476041945127627646307 has 133 digits

3588694184209844267082929606080952859142599906517137683565703712742361133375459547303590190200283460477494673053279496141096228394826087557538141600796529071267240868424707<172>

274748989574833500871772707621785691115923<42>

13061719316104673364974687622742902230273502324415673650895707607230842860890395560239560623331364044912824813341926328692163641809<131>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3405765754
Step 1 took 184484ms
Step 2 took 77687ms
********** Factor found in step 2: 274748989574833500871772707621785691115923
Found probable prime factor of 42 digits: 274748989574833500871772707621785691115923
Composite cofactor 13061719316104673364974687622742902230273502324415673650895707607230842860890395560239560623331364044912824813341926328692163641809 has 131 digits

GMP-ECM 6.2.3

13061719316104673364974687622742902230273502324415673650895707607230842860890395560239560623331364044912824813341926328692163641809<131>

177260816428601926528432864604499724246359223728631354338645653<63>
73686444524335943950601069172398705248591820975110908138225156037453<68>

N = 13061719316104673364974687622742902230273502324415673650895707607230842860890395560239560623331364044912824813341926328692163641809 (131 digits)
Divisors found:
r1=177260816428601926528432864604499724246359223728631354338645653 (pp63)
r2=73686444524335943950601069172398705248591820975110908138225156037453 (pp68)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 28.12 hours.
Factorization parameters were as follows:
n: 13061719316104673364974687622742902230273502324415673650895707607230842860890395560239560623331364044912824813341926328692163641809
Y0: -19229298674416423380244913
Y1: 127354293794039
c0: 1010465662606513219328748141337200
c1: -12446930862020993126879147388
c2: 5392435335669858482732
c3: 33943078249596455
c4: 2650157238
c5: 4968
skew: 898964.51 
type: gnfs
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20161876
Relations: 2525278 relations
Pruned matrix : 1441941 x 1442175
Polynomial selection time: 0.00 hours.
Total sieving time: 25.91 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.99 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: gnfs,130,5,65,2000,1e-05,0.28,250,20,50000,3600,7500000,7500000,28,28,55,55,2.5,2.5,100000
total time: 28.12 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

16228181210362667393689184890914165903942149779621299163274976793700869181385627024465605992742757362725815141542196516783185007757070618553355014183430377856971302084347594658981<179>

11668612365029158264973585406781904053320654630592190117<56>
1390755018908550004808948472357508980894052680062194565556521981244963879863839918251881991075491489862525029001916349179393<124>

Number: n
N=16228181210362667393689184890914165903942149779621299163274976793700869181385627024465605992742757362725815141542196516783185007757070618553355014183430377856971302084347594658981
  ( 179 digits)
SNFS difficulty: 184 digits.
Divisors found:

Fri Jul 17 20:32:46 2009  prp56 factor: 11668612365029158264973585406781904053320654630592190117
Fri Jul 17 20:32:46 2009  prp124 factor: 1390755018908550004808948472357508980894052680062194565556521981244963879863839918251881991075491489862525029001916349179393
Fri Jul 17 20:32:46 2009  elapsed time 02:17:34 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 144.30 hours.
Scaled time: 368.54 units (timescale=2.554).
Factorization parameters were as follows:
name: KA_2_7_182
n: 16228181210362667393689184890914165903942149779621299163274976793700869181385627024465605992742757362725815141542196516783185007757070618553355014183430377856971302084347594658981
m: 5000000000000000000000000000000000000
deg: 5
c5: 4
c0: -35
skew: 1.54
type: snfs
lss: 1
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [4100000, 6500519)
Primes: RFBsize:552319, AFBsize:551943, largePrimes:21016285 encountered
Relations: rels:21228277, finalFF:1081466
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1872658 hash collisions in 22409992 relations
Msieve: matrix is 1283524 x 1283772 (345.3 MB)

Total sieving time: 143.77 hours.
Total relation processing time: 0.52 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8200000,8200000,28,28,56,56,2.5,2.5,100000
total time: 144.30 hours.
 --------- CPU info (if available) ----------

376685099425894645051478404904293252444934099686548597729870796905104881433407161519571354878593070374050371155135068267611161166506543796781562572011548734751<159>

17622830915445029438303107005747727129533092601973<50>
21374834794321251327124811755130381329603402964878128027107851769142782398220305210373197743470144116644334787<110>

N=376685099425894645051478404904293252444934099686548597729870796905104881433407161519571354878593070374050371155135068267611161166506543796781562572011548734751
  ( 159 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=17622830915445029438303107005747727129533092601973 (pp50)
 r2=21374834794321251327124811755130381329603402964878128027107851769142782398220305210373197743470144116644334787 (pp110)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 121.17 hours.
Scaled time: 233.12 units (timescale=1.924).
Factorization parameters were as follows:
n: 376685099425894645051478404904293252444934099686548597729870796905104881433407161519571354878593070374050371155135068267611161166506543796781562572011548734751
m: 5000000000000000000000000000000000000
deg: 5
c5: 8
c0: -7
skew: 0.97
# Murphy_E = 8.701e-11
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4150000, 10150001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1526032 x 1526266
Total sieving time: 118.11 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 2.67 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000
total time: 121.17 hours.
 --------- CPU info (if available) ----------

672146819968559026611773319694551352735613219309979664211293480737040310054291330252620078355986709411633935592064943166329297223377055279280811793246683641893149<162>

961209368739987053877337538055377395130954910737334260480051<60>
699272023169781239925994547806207000100810393122806019085301481803784392271778171697711317942030713199<102>

N=672146819968559026611773319694551352735613219309979664211293480737040310054291330252620078355986709411633935592064943166329297223377055279280811793246683641893149
  ( 162 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=961209368739987053877337538055377395130954910737334260480051 (pp60)
 r2=699272023169781239925994547806207000100810393122806019085301481803784392271778171697711317942030713199 (pp102)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 139.23 hours.
Scaled time: 82.56 units (timescale=0.593).
Factorization parameters were as follows:
n: 672146819968559026611773319694551352735613219309979664211293480737040310054291330252620078355986709411633935592064943166329297223377055279280811793246683641893149
m: 5000000000000000000000000000000000000
deg: 5
c5: 80
c0: -7
skew: 0.61
# Murphy_E = 7.171e-11
type: snfs
lss: 1
rlim: 8600000
alim: 8600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8600000/8600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4300000, 11100001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1726839 x 1727064
Total sieving time: 134.88 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 3.89 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8600000,8600000,28,28,54,54,2.5,2.5,100000
total time: 139.23 hours.
 --------- CPU info (if available) ----------

49623424044420722617870818414420341977624200893867102147064594615549112407436064993219936265393365485336844167180349475925462168123882188024235318618803430903061534911<167>

54832091297347447631038216522501<32>
905006956151265763655758125706409102912355176390129079383960741381669849617325066992415304569102339104861501591003320417505261613287411<135>

A factor was found for (25*10^185-7)/9 using GMP-ECM using factor method ECM
   Candidate number: 49623424044420722617870818414420341977624200893867102147064594615549112407436064993219936265393365485336844167180349475925462168123882188024235318618803430903061534911
   Factor: 54832091297347447631038216522501
   Factor Type: probable
   Factor Length: 32
   Co-Factor: 905006956151265763655758125706409102912355176390129079383960741381669849617325066992415304569102339104861501591003320417505261613287411
   Co-Factor Type: Probable
   Co-Factor Length: 135
   B1: 1000000
   Sigma: 221226829
   Finder: j_m_berg@yahoo.com
   Found on machine: Test2A

9120684547627610714215780906860265471154414377404081152110777681241679158987645184483414176125079900482114653960681389330828861501<130>

26138233696264974052664414939863393840146656766221262722731199<62>
348940355098704010538475417424411500700712537464409194752432978167299<69>

Number: 2
N=9120684547627610714215780906860265471154414377404081152110777681241679158987645184483414176125079900482114653960681389330828861501
  ( 130 digits)
Divisors found:
 r1=26138233696264974052664414939863393840146656766221262722731199 (pp62)
 r2=348940355098704010538475417424411500700712537464409194752432978167299 (pp69)
Version: Msieve v. 1.43
Total time: 3.94 hours.
Scaled time: 9.12 units (timescale=2.314).
Factorization parameters were as follows:
# Murphy_E = 7.438125e-11, selected by Jeff Gilchrist
n: 9120684547627610714215780906860265471154414377404081152110777681241679158987645184483414176125079900482114653960681389330828861501
Y0: -11697761061513598361483220
Y1: 229953770231911
c0: 49966897853100149417955765176591
c1: 905549717722177365061505373
c2: -542982439681856261329
c3: -27469872819030813
c4: 14551541738
c5: 41640
skew: 347542.2
type: gnfs
# selected mechanically
rlim: 9800000
alim: 9800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9800000/9800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved algebraic special-q in [4900000, 4900000)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1452008 x 1452233
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 3.77 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
gnfs,129,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,9800000,9800000,28,28,53,53,2.5,2.5,100000
total time: 3.94 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

1131654884741400727699726376138663572315929999578565409629799410879508529632871965546762957227601037045689888661925111699728852171893<133>

795128268408707329677455854041947365447846189<45>
1423235633423252778206479630683161968045089225219334698844656222491689510969378337996137<88>

Wed Mar 25 16:28:21 2009  
Wed Mar 25 16:28:21 2009  
Wed Mar 25 16:28:21 2009  Msieve v. 1.40
Wed Mar 25 16:28:21 2009  random seeds: 205c5d10 e64a3f8d
Wed Mar 25 16:28:21 2009  factoring 1131654884741400727699726376138663572315929999578565409629799410879508529632871965546762957227601037045689888661925111699728852171893 (133 digits)
Wed Mar 25 16:28:22 2009  searching for 15-digit factors
Wed Mar 25 16:28:24 2009  commencing number field sieve (133-digit input)
Wed Mar 25 16:28:24 2009  R0: -28472200377097373513764874
Wed Mar 25 16:28:24 2009  R1:  468852546756907
Wed Mar 25 16:28:24 2009  A0:  3540594829011056504452269227293095
Wed Mar 25 16:28:24 2009  A1:  37878618697434955116910807726
Wed Mar 25 16:28:24 2009  A2:  37056681488483502513677
Wed Mar 25 16:28:24 2009  A3: -141162992671673610
Wed Mar 25 16:28:24 2009  A4: -24837161256
Wed Mar 25 16:28:24 2009  A5:  60480
Wed Mar 25 16:28:24 2009  skew 821183.19, size 9.199391e-013, alpha -7.661392, combined = 5.642171e-011
Wed Mar 25 16:28:24 2009  
Wed Mar 25 16:28:24 2009  commencing relation filtering
Wed Mar 25 16:28:24 2009  commencing duplicate removal, pass 1
Wed Mar 25 16:28:59 2009  error -15 reading relation 3007155
Wed Mar 25 16:28:59 2009  error -15 reading relation 3007384
Wed Mar 25 16:29:22 2009  error -15 reading relation 5139341
Wed Mar 25 16:31:29 2009  found 3944235 hash collisions in 16830320 relations
Wed Mar 25 16:32:12 2009  added 106165 free relations
Wed Mar 25 16:32:12 2009  commencing duplicate removal, pass 2
Wed Mar 25 16:33:20 2009  found 4190313 duplicates and 12746171 unique relations
Wed Mar 25 16:33:20 2009  memory use: 106.6 MB
Wed Mar 25 16:33:20 2009  reading rational ideals above 12255232
Wed Mar 25 16:33:20 2009  reading algebraic ideals above 12255232
Wed Mar 25 16:33:20 2009  commencing singleton removal, pass 1
Wed Mar 25 16:35:52 2009  relations with 0 large ideals: 482609
Wed Mar 25 16:35:52 2009  relations with 1 large ideals: 3067106
Wed Mar 25 16:35:52 2009  relations with 2 large ideals: 5577151
Wed Mar 25 16:35:52 2009  relations with 3 large ideals: 2996424
Wed Mar 25 16:35:52 2009  relations with 4 large ideals: 502027
Wed Mar 25 16:35:52 2009  relations with 5 large ideals: 21449
Wed Mar 25 16:35:52 2009  relations with 6 large ideals: 99405
Wed Mar 25 16:35:52 2009  relations with 7+ large ideals: 0
Wed Mar 25 16:35:52 2009  12746171 relations and about 11981739 large ideals
Wed Mar 25 16:35:52 2009  commencing singleton removal, pass 2
Wed Mar 25 16:38:27 2009  found 5973933 singletons
Wed Mar 25 16:38:27 2009  current dataset: 6772238 relations and about 4800496 large ideals
Wed Mar 25 16:38:27 2009  commencing singleton removal, pass 3
Wed Mar 25 16:40:07 2009  found 1081690 singletons
Wed Mar 25 16:40:07 2009  current dataset: 5690548 relations and about 3657854 large ideals
Wed Mar 25 16:40:07 2009  commencing singleton removal, pass 4
Wed Mar 25 16:41:38 2009  found 253805 singletons
Wed Mar 25 16:41:38 2009  current dataset: 5436743 relations and about 3399748 large ideals
Wed Mar 25 16:41:38 2009  commencing singleton removal, final pass
Wed Mar 25 16:43:11 2009  memory use: 77.7 MB
Wed Mar 25 16:43:11 2009  commencing in-memory singleton removal
Wed Mar 25 16:43:11 2009  begin with 5436743 relations and 3712401 unique ideals
Wed Mar 25 16:43:16 2009  reduce to 4643827 relations and 2899656 ideals in 13 passes
Wed Mar 25 16:43:16 2009  max relations containing the same ideal: 24
Wed Mar 25 16:43:18 2009  reading rational ideals above 720000
Wed Mar 25 16:43:18 2009  reading algebraic ideals above 720000
Wed Mar 25 16:43:18 2009  commencing singleton removal, final pass
Wed Mar 25 16:44:51 2009  keeping 4349772 ideals with weight <= 20, new excess is 364446
Wed Mar 25 16:44:58 2009  memory use: 130.1 MB
Wed Mar 25 16:44:58 2009  commencing in-memory singleton removal
Wed Mar 25 16:44:59 2009  begin with 4680910 relations and 4349772 unique ideals
Wed Mar 25 16:45:07 2009  reduce to 4548935 relations and 4035647 ideals in 12 passes
Wed Mar 25 16:45:07 2009  max relations containing the same ideal: 20
Wed Mar 25 16:45:10 2009  removing 383563 relations and 338298 ideals in 45265 cliques
Wed Mar 25 16:45:10 2009  commencing in-memory singleton removal
Wed Mar 25 16:45:11 2009  begin with 4165372 relations and 4035647 unique ideals
Wed Mar 25 16:45:15 2009  reduce to 4146785 relations and 3678522 ideals in 8 passes
Wed Mar 25 16:45:15 2009  max relations containing the same ideal: 20
Wed Mar 25 16:45:18 2009  removing 284996 relations and 239731 ideals in 45265 cliques
Wed Mar 25 16:45:19 2009  commencing in-memory singleton removal
Wed Mar 25 16:45:19 2009  begin with 3861789 relations and 3678522 unique ideals
Wed Mar 25 16:45:23 2009  reduce to 3849829 relations and 3426710 ideals in 7 passes
Wed Mar 25 16:45:23 2009  max relations containing the same ideal: 20
Wed Mar 25 16:45:26 2009  relations with 0 large ideals: 9503
Wed Mar 25 16:45:26 2009  relations with 1 large ideals: 90848
Wed Mar 25 16:45:26 2009  relations with 2 large ideals: 396535
Wed Mar 25 16:45:26 2009  relations with 3 large ideals: 914667
Wed Mar 25 16:45:26 2009  relations with 4 large ideals: 1186000
Wed Mar 25 16:45:26 2009  relations with 5 large ideals: 853357
Wed Mar 25 16:45:26 2009  relations with 6 large ideals: 327220
Wed Mar 25 16:45:26 2009  relations with 7+ large ideals: 71699
Wed Mar 25 16:45:26 2009  commencing 2-way merge
Wed Mar 25 16:45:30 2009  reduce to 2378718 relation sets and 1955599 unique ideals
Wed Mar 25 16:45:30 2009  commencing full merge
Wed Mar 25 16:46:08 2009  memory use: 176.4 MB
Wed Mar 25 16:46:09 2009  found 1217257 cycles, need 1159799
Wed Mar 25 16:46:09 2009  weight of 1159799 cycles is about 81408641 (70.19/cycle)
Wed Mar 25 16:46:09 2009  distribution of cycle lengths:
Wed Mar 25 16:46:09 2009  1 relations: 114539
Wed Mar 25 16:46:09 2009  2 relations: 137131
Wed Mar 25 16:46:09 2009  3 relations: 143480
Wed Mar 25 16:46:09 2009  4 relations: 133059
Wed Mar 25 16:46:09 2009  5 relations: 119083
Wed Mar 25 16:46:09 2009  6 relations: 102704
Wed Mar 25 16:46:09 2009  7 relations: 86519
Wed Mar 25 16:46:09 2009  8 relations: 73187
Wed Mar 25 16:46:09 2009  9 relations: 61798
Wed Mar 25 16:46:09 2009  10+ relations: 188299
Wed Mar 25 16:46:09 2009  heaviest cycle: 17 relations
Wed Mar 25 16:46:09 2009  commencing cycle optimization
Wed Mar 25 16:46:12 2009  start with 6536252 relations
Wed Mar 25 16:46:29 2009  pruned 174023 relations
Wed Mar 25 16:46:29 2009  memory use: 172.4 MB
Wed Mar 25 16:46:29 2009  distribution of cycle lengths:
Wed Mar 25 16:46:29 2009  1 relations: 114539
Wed Mar 25 16:46:29 2009  2 relations: 140634
Wed Mar 25 16:46:29 2009  3 relations: 149409
Wed Mar 25 16:46:29 2009  4 relations: 137047
Wed Mar 25 16:46:29 2009  5 relations: 122430
Wed Mar 25 16:46:29 2009  6 relations: 103915
Wed Mar 25 16:46:29 2009  7 relations: 87256
Wed Mar 25 16:46:29 2009  8 relations: 73271
Wed Mar 25 16:46:29 2009  9 relations: 60820
Wed Mar 25 16:46:29 2009  10+ relations: 170478
Wed Mar 25 16:46:29 2009  heaviest cycle: 17 relations
Wed Mar 25 16:46:31 2009  RelProcTime: 935
Wed Mar 25 16:46:31 2009  
Wed Mar 25 16:46:31 2009  commencing linear algebra
Wed Mar 25 16:46:31 2009  read 1159799 cycles
Wed Mar 25 16:46:34 2009  cycles contain 3561496 unique relations
Wed Mar 25 16:47:39 2009  read 3561496 relations
Wed Mar 25 16:47:45 2009  using 20 quadratic characters above 268431422
Wed Mar 25 16:48:08 2009  building initial matrix
Wed Mar 25 16:49:06 2009  memory use: 417.3 MB
Wed Mar 25 16:49:11 2009  read 1159799 cycles
Wed Mar 25 16:49:13 2009  matrix is 1159583 x 1159799 (333.0 MB) with weight 110624004 (95.38/col)
Wed Mar 25 16:49:13 2009  sparse part has weight 78015465 (67.27/col)
Wed Mar 25 16:49:32 2009  filtering completed in 2 passes
Wed Mar 25 16:49:33 2009  matrix is 1155802 x 1156002 (332.5 MB) with weight 110419103 (95.52/col)
Wed Mar 25 16:49:33 2009  sparse part has weight 77923718 (67.41/col)
Wed Mar 25 16:49:37 2009  read 1156002 cycles
Wed Mar 25 16:49:38 2009  matrix is 1155802 x 1156002 (332.5 MB) with weight 110419103 (95.52/col)
Wed Mar 25 16:49:38 2009  sparse part has weight 77923718 (67.41/col)
Wed Mar 25 16:49:38 2009  saving the first 48 matrix rows for later
Wed Mar 25 16:49:39 2009  matrix is 1155754 x 1156002 (318.0 MB) with weight 87730479 (75.89/col)
Wed Mar 25 16:49:39 2009  sparse part has weight 76424675 (66.11/col)
Wed Mar 25 16:49:39 2009  matrix includes 64 packed rows
Wed Mar 25 16:49:39 2009  using block size 65536 for processor cache size 3072 kB
Wed Mar 25 16:49:49 2009  commencing Lanczos iteration
Wed Mar 25 16:49:49 2009  memory use: 315.4 MB
Wed Mar 25 20:18:27 2009  lanczos halted after 18278 iterations (dim = 1155754)
Wed Mar 25 20:18:30 2009  recovered 29 nontrivial dependencies
Wed Mar 25 20:18:30 2009  BLanczosTime: 12586
Wed Mar 25 20:18:30 2009  
Wed Mar 25 20:18:30 2009  commencing square root phase
Wed Mar 25 20:18:30 2009  reading relations for dependency 1
Wed Mar 25 20:18:31 2009  read 578022 cycles
Wed Mar 25 20:18:33 2009  cycles contain 2175074 unique relations
Wed Mar 25 20:19:35 2009  read 2175074 relations
Wed Mar 25 20:19:49 2009  multiplying 1779100 relations
Wed Mar 25 20:26:58 2009  multiply complete, coefficients have about 84.98 million bits
Wed Mar 25 20:27:01 2009  initial square root is modulo 1258819
Wed Mar 25 20:35:30 2009  sqrtTime: 1020
Wed Mar 25 20:35:30 2009  prp45 factor: 795128268408707329677455854041947365447846189
Wed Mar 25 20:35:30 2009  prp88 factor: 1423235633423252778206479630683161968045089225219334698844656222491689510969378337996137
Wed Mar 25 20:35:30 2009  elapsed time 04:07:09

Msieve v1.40beta2 Polynomial Search take elapsed time 23:28:43
GGNFS for Sieving need 206.94 hours
Final Factorization with Msieve v1.40 need 04:07:09
Total time ~ 234 hours

Intel Core 2 Duo (one Core used) T8100 @ 2.1 GHz
Windows Vista Home Premium 32bit

2214729349885688959335000050052883307416570480971001131195162747614492869944625565010678096087538860748537769241324971578378252916953584853944357671348515923151017699142483372476459863213<187>

81984536901336246987495595336746750910661160493572241030149045899831<68>
27013988656799884886245067269587173215696444146597143443141470831171571670655408204568448640372478882458665841975064123<119>

Number: n
N=2214729349885688959335000050052883307416570480971001131195162747614492869944625565010678096087538860748537769241324971578378252916953584853944357671348515923151017699142483372476459863213
  ( 187 digits)
SNFS difficulty: 193 digits.
Divisors found:

Sun Feb 21 17:29:44 2010  prp68 factor: 81984536901336246987495595336746750910661160493572241030149045899831
Sun Feb 21 17:29:44 2010  prp119 factor: 27013988656799884886245067269587173215696444146597143443141470831171571670655408204568448640372478882458665841975064123
Sun Feb 21 17:29:44 2010  elapsed time 05:34:40 (Msieve 1.42 - dependency 1)

Version: 
Total time: 15.57 hours.
Scaled time: 13.11 units (timescale=0.842).
Factorization parameters were as follows:
name: KA_2_7_192
n: 2214729349885688959335000050052883307416570480971001131195162747614492869944625565010678096087538860748537769241324971578378252916953584853944357671348515923151017699142483372476459863213
m: 100000000000000000000000000000000000000
deg: 5
c5: 2500
c0: -7
skew: 0.31
type: snfs
lss: 1
rlim: 11700000
alim: 11700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 11700000/11700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 10469717)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3559446 hash collisions in 29243278 relations
Msieve: matrix is 1490271 x 1490496 (399.7 MB)

Total sieving time: 15.57 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11700000,11700000,28,28,56,56,2.5,2.5,100000
total time: 15.57 hours.
 --------- CPU info (if available) ----------

151697875644686507914303380804314983009103513823807738354305324803712509340046183733251740984524075518356703192372095777728875891167349902291347415698652450479918705781794129499<177>

39298852934041810584066660892975797791<38>
3860109502414544812308036535863611819515634491137601738063662409409158230483694473285830512048248773555482760990229017037847455526934917189<139>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1747756338
Step 1 took 29672ms
Step 2 took 19281ms
********** Factor found in step 2: 39298852934041810584066660892975797791
Found probable prime factor of 38 digits: 39298852934041810584066660892975797791
Probable prime cofactor 3860109502414544812308036535863611819515634491137601738063662409409158230483694473285830512048248773555482760990229017037847455526934917189 has 139 digits

GMP-ECM 6.2.3

3707302837330381684398235690605485829738225713959932188964546768903348502906224465622684760183077332661337537175110810581127568853104524913525652447014053746065602434700966588623181764019<187>

31923267075125033698395571835134793827806001281952494068262206370309831943349<77>
116131686290315613323247028707239040005286890565886389152422443137902003749732575566818465047706067746958309831<111>

N=3707302837330381684398235690605485829738225713959932188964546768903348502906224465622684760183077332661337537175110810581127568853104524913525652447014053746065602434700966588623181764019
  ( 187 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=31923267075125033698395571835134793827806001281952494068262206370309831943349 (pp77)
 r2=116131686290315613323247028707239040005286890565886389152422443137902003749732575566818465047706067746958309831 (pp111)
Version: Msieve v. 1.48
Total time:
Scaled time: 52.34 units (timescale=0.697).
Factorization parameters were as follows:
n: 3707302837330381684398235690605485829738225713959932188964546768903348502906224465622684760183077332661337537175110810581127568853104524913525652447014053746065602434700966588623181764019
m: 1000000000000000000000000000000000000000
deg: 5
c5: 25
c0: -7
skew: 0.78
type: snfs
lss: 1
rlim: 13100000
alim: 13100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 13100000/13100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6550000, 11990001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2258854 x 2259046
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,196.000,5,0,0,0,0,0,0,0,0,13100000,13100000,28,28,55,55,2.5,2.5,100000
total time:

87816133473398832374666027025772600287587225619415816317058049690713328013722344728798109943070041744280498920528800240182224826338441249317459795544635575949732547232052184069<176>

224075310201582217570911580060443361058956914797<48>

391904549387426237335205778165037789768535317794935268504521047984328071967589961561026987580722383078732018707221058157549245177<129>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1455864590
Step 1 took 97158ms
Step 2 took 29098ms
********** Factor found in step 2: 224075310201582217570911580060443361058956914797
Found probable prime factor of 48 digits: 224075310201582217570911580060443361058956914797
Composite cofactor 391904549387426237335205778165037789768535317794935268504521047984328071967589961561026987580722383078732018707221058157549245177 has 129 digits

391904549387426237335205778165037789768535317794935268504521047984328071967589961561026987580722383078732018707221058157549245177<129>

3009234660060891911292772964361177487065042271237<49>
130233961009706050153661431108735752013801778424002608221594812527124177129611621<81>

Number: 27777_196
N = 391904549387426237335205778165037789768535317794935268504521047984328071967589961561026987580722383078732018707221058157549245177 (129 digits)
Divisors found:
r1=3009234660060891911292772964361177487065042271237 (pp49)
r2=130233961009706050153661431108735752013801778424002608221594812527124177129611621 (pp81)
Version: Msieve v. 1.51 (SVN 845)
Total time: 77.20 hours.
Factorization parameters were as follows:
# Murphy_E = 8.833e-11, selected by Dmitry Domanov
n: 391904549387426237335205778165037789768535317794935268504521047984328071967589961561026987580722383078732018707221058157549245177
Y0: -27707279081229549726496529
Y1: 1557309133513
c0: 978027124490913035038696945939080
c1: 4148177873107223228368831191
c2: 4574283700609359677412
c3: -353585150401619
c4: -326931271
c5: 24
skew: 3474935.1
type: gnfs
# selected mechanically
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 17611941
Relations: 2364538 relations
Pruned matrix : 1361484 x 1361712
Polynomial selection time: 0.00 hours.
Total sieving time: 74.51 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.69 hours.
time per square root: 0.88 hours.
Prototype def-par.txt line would be: gnfs,128,5,65,2000,1e-05,0.28,250,20,50000,3600,9000000,9000000,28,28,53,53,2.5,2.5,100000
total time: 77.20 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz

GGNFS, Msieve

202314477624018774783523508942299910981629845431739095249656065388039168082868010034798090151331229262766043538075584688840333414259124382940843246742736910253297725985271506028971433195759488549<195>

85030629703280968207735306809773<32>

2379312940877966056839041692231255679976556971431892634670943410004573553981330698167952823566726167898725398615761464958869155626448416241982456084785127904775513<163>

A factor was found for (25*10^197-7)/9 using GMP-ECM using factor method ECM
   Candidate number: 202314477624018774783523508942299910981629845431739095249656065388039168082868010034798090151331229262766043538075584688840333414259124382940843246742736910253297725985271506028971433195759488549
   Factor: 85030629703280968207735306809773
   Factor Type: probable
   Factor Length: 32
   Co-Factor: 2379312940877966056839041692231255679976556971431892634670943410004573553981330698167952823566726167898725398615761464958869155626448416241982456084785127904775513
   Co-Factor Type: Composite
   Co-Factor Length: 163
   B1: 1000000
   Sigma: 2900118074
   Finder: j_m_berg@yahoo.com
   Found on machine: Office2400AMD

2379312940877966056839041692231255679976556971431892634670943410004573553981330698167952823566726167898725398615761464958869155626448416241982456084785127904775513<163>

9999957280771021757002808060672033895764994072347136730300354551697<67>
237932310516282032430546564706460201867748142461377252418518992268832546209838201783522664217929<96>

2379312940877966056839041692231255679976556971431892634670943410004573553981330698167952823566726167898725398615761464958869155626448416241982456084785127904775513=9999957280771021757002808060672033895764994072347136730300354551697*237932310516282032430546564706460201867748142461377252418518992268832546209838201783522664217929

cado polynomial
n: 2379312940877966056839041692231255679976556971431892634670943410004573553981330698167952823566726167898725398615761464958869155626448416241982456084785127904775513
skew: 1.54
type: snfs
c0: -35
c5: 4
Y0: 5000000000000000000000000000000000000000
Y1: -1
# f(x) = 4*x^5-35
# g(x) = -x+5000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14600000
tasks.lim1 = 14600000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 237932310516282032430546564706460201867748142461377252418518992268832546209838201783522664217929 9999957280771021757002808060672033895764994072347136730300354551697
Info:Square Root: Total cpu/real time for sqrt: 663.77/212.518
Info:Generate Free Relations: Total cpu/real time for freerel: 116.27/31.9587
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 125.28/150.418
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 149.70000000000002s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 535.36/557.927
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 449.69999999999993s
Info:Generate Factor Base: Total cpu/real time for makefb: 6.1/2.95756
Info:Square Root: Total cpu/real time for sqrt: 663.77/212.518
Info:Filtering - Merging: Merged matrix has 2679120 rows and total weight 458086911 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 757.3/208.006
Info:Filtering - Merging: Total cpu/real time for replay: 104.11/91.4145
Info:Linear Algebra: Total cpu/real time for bwc: 127252/32623.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 81672.17, WCT time 20870.85, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (83968 iterations)
Info:Linear Algebra: Lingen CPU time 576.05, WCT time 146.1
Info:Linear Algebra: Mksol: CPU time 44019.94,  WCT time 11260.77, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (41984 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 452.61/520.832
Info:Quadratic Characters: Total cpu/real time for characters: 91.21/40.2672
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29565478
Info:Lattice Sieving: Average J: 1894.25 for 3544883 special-q, max bucket fill -bkmult 1.0,1s:1.132790
Info:Lattice Sieving: Total time: 848477s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.72476e+06/322335
237932310516282032430546564706460201867748142461377252418518992268832546209838201783522664217929 9999957280771021757002808060672033895764994072347136730300354551697

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

36193919556897244179005710172497635635950836328788411584841483201445520345790144504531195354407012381818696469785819534365037788473390498341019<143>

647740002411172149653531036431683278815091381<45>
55877233800857773549106937601401855581401226457993707045123285576537787959945296584331101694480399<98>

36193919556897244179005710172497635635950836328788411584841483201445520345790144504531195354407012381818696469785819534365037788473390498341019=647740002411172149653531036431683278815091381*55877233800857773549106937601401855581401226457993707045123285576537787959945296584331101694480399

n: 36193919556897244179005710172497635635950836328788411584841483201445520345790144504531195354407012381818696469785819534365037788473390498341019
skew: 599805.916
c0: 5892558774408818678777821301149002
c1: -16261841713883862542602854285
c2: -121388697684043595333590
c3: -4064553208318807
c4: 175283738264
c5: -68640
Y0: -5622303639742963729126049285
Y1: 553478407196589520069
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 2.21e-07
# found by revision 7f9c8bd19
# f(x) = -68640*x^5+175283738264*x^4-4064553208318807*x^3-121388697684043595333590*x^2-16261841713883862542602854285*x+5892558774408818678777821301149002
# g(x) = 553478407196589520069*x-5622303639742963729126049285

Info:Square Root: Factors: 55877233800857773549106937601401855581401226457993707045123285576537787959945296584331101694480399 647740002411172149653531036431683278815091381
Info:Square Root: Total cpu/real time for sqrt: 13845.1/1964.66
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78033/42.920/51.375/56.370/0.941
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 78033/41.630/45.946/52.120/1.213
Info:Polynomial Selection (size optimized): Total time: 39077.9
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2337.66
Info:Polynomial Selection (root optimized): Rootsieve time: 2336.6
Info:Generate Factor Base: Total cpu/real time for makefb: 75.04/23.5475
Info:Generate Free Relations: Total cpu/real time for freerel: 1823.15/535.379
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 47732177
Info:Lattice Sieving: Average J: 3834.9 for 938625 special-q, max bucket fill -bkmult 1.0,1s:1.183490
Info:Lattice Sieving: Total time: 481862s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 110.36/76.778
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 75.89999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1474.66/759.904
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 620.3000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1638.93/774.017
Info:Filtering - Merging: Total cpu/real time for merge: 2433.65/2123.45
Info:Filtering - Merging: Total cpu/real time for replay: 240.15/196.407
Info:Linear Algebra: Total cpu/real time for bwc: 320629/62448.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 40891.78, iteration CPU time 0.36, COMM 0.01, cpu-wait 0.05, comm-wait 0.0 (102000 iterations)
Info:Linear Algebra: Lingen CPU time 545.76, WCT time 125.64
Info:Linear Algebra: Mksol: WCT time 21403.19, iteration CPU time 0.36, COMM 0.01, cpu-wait 0.05, comm-wait 0.0 (51000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 142.38/37.8108
Info:Square Root: Total cpu/real time for sqrt: 13845.1/1964.66
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.10951e+06/589264
55877233800857773549106937601401855581401226457993707045123285576537787959945296584331101694480399 647740002411172149653531036431683278815091381

cado-nfs-3.0.0

Linux Ubuntu 18.04 LTS
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)

1868496559906843170251390511675958342829556563669343067463267527181445430079016216342334586465943180369279725019930630263921752480475047717746000073590412128574888245388278209<175>

28329979902700413882004489360121166299226619<44>

65954743572858590878251798542566945962253658924883805142655891058895746229487539395547615222314879760212579853205679772601876906611<131>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=102607537
Step 1 took 202422ms
Step 2 took 81844ms
********** Factor found in step 2: 28329979902700413882004489360121166299226619
Found probable prime factor of 44 digits: 28329979902700413882004489360121166299226619
Composite cofactor 65954743572858590878251798542566945962253658924883805142655891058895746229487539395547615222314879760212579853205679772601876906611 has 131 digits

GMP-ECM 6.2.3

65954743572858590878251798542566945962253658924883805142655891058895746229487539395547615222314879760212579853205679772601876906611<131>

94229378748830872669571733541862716348683631<44>
699938219360030618689788459532152267919931968146291398214292645569125923141012007307581<87>

Number: 27777_199
N = 65954743572858590878251798542566945962253658924883805142655891058895746229487539395547615222314879760212579853205679772601876906611 (131 digits)
Divisors found:
r1=94229378748830872669571733541862716348683631 (pp44)
r2=699938219360030618689788459532152267919931968146291398214292645569125923141012007307581 (pp87)
Version: Msieve v. 1.44
Total time: 80.30 hours.
Factorization parameters were as follows:
n: 65954743572858590878251798542566945962253658924883805142655891058895746229487539395547615222314879760212579853205679772601876906611
Y0: -21244846532006507843799791
Y1: 177835078029827
c0: -4907479638433929256732967898480
c1: 39260738778160797695307852
c2: 807700085483929194708
c3: -4125796274630533
c4: -29016898294
c5: 15240
skew: 192387.54 
type: gnfs
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20622589
Relations: 2540296 relations
Pruned matrix : 1477141 x 1477367
Polynomial selection time: 18.51 hours.
Total sieving time: 58.91 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.64 hours.
time per square root: 0.13 hours.
Prototype def-par.txt line would be: gnfs,130,5,65,2000,1e-05,0.28,250,20,50000,3600,7500000,7500000,28,28,55,55,2.5,2.5,100000
total time: 80.30 hours.
 --------- CPU info (if available) ----------

Core i7 860 2.80GHz,Window 7 64bit,and factmsieve.py )

777237752987002408504348956123063473276545234149090989358371581203157823721855832345464149286853272124305810100919658798844340729838685858843053624119739382854570422248399589742824463340648695064447<198>

1836245249941270334309134152790960897<37>
423275568997039606319829071183158551866666134417966086678068761166294437925133237418676496353565585693626438452063961630118639404399956227083956317788058819777151<162>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4121619154
Step 1 took 12278ms
Step 2 took 7035ms
********** Factor found in step 2: 1836245249941270334309134152790960897
Found probable prime factor of 37 digits: 1836245249941270334309134152790960897
Probable prime cofactor 423275568997039606319829071183158551866666134417966086678068761166294437925133237418676496353565585693626438452063961630118639404399956227083956317788058819777151 has 162 digits

GMP-ECM 6.3

2334547697904191301924052382046727533332288931398817331078974173867281852930201533898671307221563194815118675185351654933516152547964237049995283321853012934169036079200255668532751043424202594643<196>

306963040594750522831451343663650150054004393919<48>

7605305490136310499702421478651829765765989241048388630317904419037765037305229445793823495845210692271672558800083916442587111773694891670604575597<148>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4025643638
Step 1 took 304923ms
Step 2 took 84314ms
********** Factor found in step 2: 306963040594750522831451343663650150054004393919
Found probable prime factor of 48 digits: 306963040594750522831451343663650150054004393919

7605305490136310499702421478651829765765989241048388630317904419037765037305229445793823495845210692271672558800083916442587111773694891670604575597<148>

1000559094040135820198884839261538634194179511637328567109<58>
7601055785148094302751921351610228901385180830523603774772730285854530734745964441387329033<91>

Number: 27777_204
N = 7605305490136310499702421478651829765765989241048388630317904419037765037305229445793823495845210692271672558800083916442587111773694891670604575597 (148 digits)
SNFS difficulty: 206 digits.
Divisors found:
r1=1000559094040135820198884839261538634194179511637328567109 (pp58)
r2=7601055785148094302751921351610228901385180830523603774772730285854530734745964441387329033 (pp91)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 75.37 hours.
Factorization parameters were as follows:
n: 7605305490136310499702421478651829765765989241048388630317904419037765037305229445793823495845210692271672558800083916442587111773694891670604575597
m: 50000000000000000000000000000000000000000
deg: 5
c5: 80
c0: -7
skew: 0.61
# Murphy_E = 1.063e-11
type: snfs
lss: 1
rlim: 18600000
alim: 18600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18600000/18600000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 38889187
Relations: 6428130 relations
Pruned matrix : 3829899 x 3830142
Total sieving time: 65.17 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 9.41 hours.
time per square root: 0.48 hours.
Prototype def-par.txt line would be: snfs,206,5,0,0,0,0,0,0,0,0,18600000,18600000,29,29,56,56,2.6,2.6,100000
total time: 75.37 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 2.29GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

210072647146375135846523330587104034624086312444336998167463193660962751463502397169647193770045914511317735709856284504027903946359290654952491520457511739525452830896600284357192165334574583701493<198>

311207826804259925759611681114659490406648585709089<51>

675023662815859440836359521967103538422792878483649271861369802803333312407661326363793571249681567703864018358435942735459897778683757166523946837<147>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=927351824
Step 1 took 137666ms
Step 2 took 42364ms
********** Factor found in step 2: 311207826804259925759611681114659490406648585709089
Found probable prime factor of 51 digits: 311207826804259925759611681114659490406648585709089

675023662815859440836359521967103538422792878483649271861369802803333312407661326363793571249681567703864018358435942735459897778683757166523946837<147>

627251425508027557283027536501260749290311136128016013<54>
1076161225570974003234553685456852942298829723776924598868329115592906037306001574331109289449<94>

627251425508027557283027536501260749290311136128016013
1076161225570974003234553685456852942298829723776924598868329115592906037306001574331109289449

cado-nfs

2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 22.04

8882526416917786540776860341307319445549305264579251805536308070711911000518243663143775923892445377812691963630436085921876080384550872458759451555449815441890378048553337178013096617751208179<193>

35268451777654844042060379785933045217262122718950144353<56>
251854730480273584680102768185001861142287746286380986033298432633017498008139324005250396740465533903574087939437247325372962719497017043<138>

Number: n
N=8882526416917786540776860341307319445549305264579251805536308070711911000518243663143775923892445377812691963630436085921876080384550872458759451555449815441890378048553337178013096617751208179
  ( 193 digits)
SNFS difficulty: 207 digits.
Divisors found:

Tue Jul  6 05:22:35 2021  p56 factor: 35268451777654844042060379785933045217262122718950144353
Tue Jul  6 05:22:35 2021  p138 factor: 251854730480273584680102768185001861142287746286380986033298432633017498008139324005250396740465533903574087939437247325372962719497017043
Tue Jul  6 05:22:35 2021  elapsed time 02:30:15 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 25x10^206-7 = 27(206)
#
n: 8882526416917786540776860341307319445549305264579251805536308070711911000518243663143775923892445377812691963630436085921876080384550872458759451555449815441890378048553337178013096617751208179
m: 100000000000000000000000000000000000000000
deg: 5
c5: 250
c0: -7
skew: 0.49
# Murphy_E = 7.402e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 44400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9631893 hash collisions in 61355452 relations (53826677 unique)
Msieve: matrix is 2539287 x 2539513 (879.7 MB)

Sieving start time : 2021/07/05 10:37:40
Sieving end time  : 2021/07/06 02:51:18

Total sieving time: 16hrs 13min 38secs.

Total relation processing time: 2hrs 11min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 20sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117292] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved)
[    0.153499] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.03 BogoMIPS (lpj=12798064)
[    0.152047] smpboot: Total of 16 processors activated (102384.51 BogoMIPS)

142240893262109006501117663942499768040116842296740409935455473798898506232711980189005455602932393289990508973008958302168154233065600182094388070936236126623560928930254795794509<180>

24331753649833648245828258791546182945114553<44>
1155630309929057566532243617499150738663037788221<49>
5058620925746805664538191183907434696641510248281120047797790840368863027935691023611993<88>

# N = 25x10^207-7 = 27(207)
#
n: 142240893262109006501117663942499768040116842296740409935455473798898506232711980189005455602932393289990508973008958302168154233065600182094388070936236126623560928930254795794509
m: 500000000000000000000000000000000000000000
deg: 5
c5: 4
c0: -35
skew: 1.54
# Murphy_E = 8.086e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 142240893262109006501117663942499768040116842296740409935455473798898506232711980189005455602932393289990508973008958302168154233065600182094388070936236126623560928930254795794509 (180 d
igits)
Using B1=35620000, B2=192388936756, polynomial Dickson(12), sigma=1:4109234474
Step 1 took 97381ms
Step 2 took 33275ms
********** Factor found in step 2: 24331753649833648245828258791546182945114553
Found prime factor of 44 digits: 24331753649833648245828258791546182945114553
Composite cofactor 5845895668234397133156632924207271646033562988026340660770350169098812351856563113436251122051095192053876171713564243321773325209734453 has 136 digits


CADO

STA:Thu 01 Jul 2021 14:11:19 AEST (5,845,895,668,234,397,133,156,632,924,207,271,646,033,562,988,026,340,660,770,350,169,098,812,351,856,563,113,436,251,122,051,095,192,053,876,171,713,564,243,321,773,32
5,209,734,453 - C136)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors 5845895668234397133156632924207271646033562988026340660770350169098812351856563113436251122051095192053876171713564243321773325209734453 2>
&1 | tee -a log17

Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c135
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.j1rfbu0w
Info:Database: Opened connection to database /tmp/cado.j1rfbu0w/c135.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors 5845895668234397133156632924207271646033562988026340660770350169098812351856563113436251122051095192053
876171713564243321773325209734453
Info:root: If this computation gets interrupted, it can be resumed with /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py /tmp/cado.j1rfbu0w/c135.parameters_snapshot.0
Info:Server Launcher: Adding linux-6 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,linux-6
Info:Complete Factorization: Factoring 5845895668234397133156632924207271646033562988026340660770350169098812351856563113436251122051095192053876171713564243321773325209734453
...
n: 5845895668234397133156632924207271646033562988026340660770350169098812351856563113436251122051095192053876171713564243321773325209734453
skew: 338145.571
c0: 113853913916653760711716655937660
c1: 4451534174516370604658306182
c2: 7393938301789673913321
c3: -75340167815826763
c4: 72646404216
c5: 101520
Y0: -233063080325116432890251366
Y1: 1600085897982312341
# MurphyE (Bf=1.64e+07,Bg=3.34e+06,area=5.51e+14) = 3.09e-10
# f(x) = 101520*x^5+72646404216*x^4-75340167815826763*x^3+7393938301789673913321*x^2+4451534174516370604658306182*x+113853913916653760711716655937660
# g(x) = 1600085897982312341*x-233063080325116432890251366
...
Info:Square Root: Factors: 5058620925746805664538191183907434696641510248281120047797790840368863027935691023611993 1155630309929057566532243617499150738663037788221
Info:Square Root: Total cpu/real time for sqrt: 1229.35/170.37
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 35600.4
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 36384/40.710/48.809/54.800/0.984
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 36384/39.130/43.859/49.600/1.418
Info:Polynomial Selection (size optimized): Total time: 8996.36
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3195.96
Info:Polynomial Selection (root optimized): Rootsieve time: 3195
Info:Generate Factor Base: Total cpu/real time for makefb: 21.12/1.9129
Info:Generate Free Relations: Total cpu/real time for freerel: 303.02/20.0264
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19114759
Info:Lattice Sieving: Average J: 3795.47 for 794821 special-q, max bucket fill: 0.734308
Info:Lattice Sieving: Total CPU time: 616811s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.36/68.6785
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 68.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 309.88/94.1421
Info:Filtering - Singleton removal: Total cpu/real time for purge: 217.1/81.5123
Info:Filtering - Merging: Total cpu/real time for merge: 532.81/441.451
Info:Filtering - Merging: Total cpu/real time for replay: 42.56/33.4056
Info:Linear Algebra: Total cpu/real time for bwc: 41950.9/0.000276804
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1760.76
Info:Linear Algebra: Lingen CPU time 305.65, WCT time 29.96
Info:Linear Algebra: Mksol: WCT time 979.5
Info:Quadratic Characters: Total cpu/real time for characters: 44.65/10.6919
Info:Square Root: Total cpu/real time for sqrt: 1229.35/170.37
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 673708/44509
Info:root: Cleaning up computation data in /tmp/cado.j1rfbu0w
5058620925746805664538191183907434696641510248281120047797790840368863027935691023611993 1155630309929057566532243617499150738663037788221

END:Fri 02 Jul 2021 02:33:09 AEST (5,845,895,668,234,397,133,156,632,924,207,271,646,033,562,988,026,340,660,770,350,169,098,812,351,856,563,113,436,251,122,051,095,192,053,876,171,713,564,243,321,773,32
5,209,734,453 - C136)

141423350217905636695103211052273276976391285131501078495762161840809239978607801168911250149717711712085926608602472166076659280531961552778597142867329354594051707<165>

19045152862379259891216956501<29>

7425687325265080423060562566636517311293776896010883247617932944846676790772887743544115532672795183100584909534026635865359443120056207<136>

GMP-ECM 6.4.3 [configured with GMP 5.0.5] [ECM]
Input number is 141423350217905636695103211052273276976391285131501078495762161840809239978607801168911250149717711712085926608602472166076659280531961552778597142867329354594051707 (165 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1527309864
Step 1 took 16707ms
Step 2 took 5882ms
********** Factor found in step 2: 19045152862379259891216956501
Found probable prime factor of 29 digits: 19045152862379259891216956501
Composite cofactor 7425687325265080423060562566636517311293776896010883247617932944846676790772887743544115532672795183100584909534026635865359443120056207 has 136 digits

7425687325265080423060562566636517311293776896010883247617932944846676790772887743544115532672795183100584909534026635865359443120056207<136>

4578927120561108155580086974526591<34>
1621709000765910045048538996302375501626736341275881309100399715035142291681413820967431993942129345777<103>

GMP-ECM 6.4.3 [configured with GMP 5.0.5] [ECM]
Input number is 7425687325265080423060562566636517311293776896010883247617932944846676790772887743544115532672795183100584909534026635865359443120056207 (136 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3311460154
Step 1 took 13385ms
Step 2 took 4602ms
********** Factor found in step 2: 4578927120561108155580086974526591
Found probable prime factor of 34 digits: 4578927120561108155580086974526591
Probable prime cofactor 1621709000765910045048538996302375501626736341275881309100399715035142291681413820967431993942129345777 has 103 digits

4597695036076301456246523464392708494844612831898708114453394483118691871606026351895076008938014782189080418013531542467484682314620113157992067626179505787985867193044633432147178956486647283041865491<202>

2510323545657613761226943461571959652876314458283754213380752162621337125437<76>
1831514923257381167103685165602170416853677166299943109286026434913844604535498088236498915529390547750956513980425912210144143<127>

Number: n
N=4597695036076301456246523464392708494844612831898708114453394483118691871606026351895076008938014782189080418013531542467484682314620113157992067626179505787985867193044633432147178956486647283041865491  ( 202 digits)
SNFS difficulty: 210 digits.
Divisors found:

Thu Sep 17 02:32:06 2020  p76 factor: 2510323545657613761226943461571959652876314458283754213380752162621337125437
Thu Sep 17 02:32:06 2020  p127 factor: 1831514923257381167103685165602170416853677166299943109286026434913844604535498088236498915529390547750956513980425912210144143
Thu Sep 17 02:32:06 2020  elapsed time 03:24:15 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.990).
Factorization parameters were as follows:
#
# N = 25x10^209-7 = 27(209)
#
n: 459769503607630145624652346439270849484461283189870811445339448311869187160602635189507600893801478218908041801353154246748468231462011315799206762617950578798586719304463343214717895648664728304186549
1
m: 500000000000000000000000000000000000000000
deg: 5
c5: 80
c0: -7
skew: 0.61
# Murphy_E = 6.532e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 51000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 15317363 hash collisions in 89514036 relations (75550198 unique)
Msieve: matrix is 2571605 x 2571831 (869.5 MB)

Sieving start time: 2020/09/16 02:40:21
Sieving end time  : 2020/09/16 23:05:25

Total sieving time: 20hrs 25min 4secs.

Total relation processing time: 2hrs 28min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 21min 46sec.

Prototype def-par.txt line would be:
snfs,210,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.150649] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283124K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2724K bss, 420336K reserved, 0K cma-reserved)
[    0.184730] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.80 BogoMIPS (lpj=11977604)
[    0.182223] smpboot: Total of 16 processors activated (95820.83 BogoMIPS)

61666553351256739128823560942020123875080175451150396138196523409985448890787779615138496088552471952180234212213089054268659485211389531332483016133110051359383037297368973223451825390482959484089<197>

402576489533011272141706924315619967793880837359098228663446054750402576489533011272141706924315619967793880837359098228663446054750402576489533011272141706924315619967793880837359098228663446054750402576489533<210>

22144125730421323884550878885880897221268628012660380921<56>
3937020453946010353683005072401295089657996585159681530875193279397212931091<76>
4617662618675650206776582482057838734529049871106898271269424035980329045224103<79>

Number: n
N=402576489533011272141706924315619967793880837359098228663446054750402576489533011272141706924315619967793880837359098228663446054750402576489533011272141706924315619967793880837359098228663446054750402576489533
  ( 210 digits)
SNFS difficulty: 212 digits.
Divisors found:

Sat Jan  4 09:50:53 2014  prp56 factor: 22144125730421323884550878885880897221268628012660380921
Sat Jan  4 09:50:53 2014  prp76 factor: 3937020453946010353683005072401295089657996585159681530875193279397212931091
Sat Jan  4 09:50:53 2014  prp79 factor: 4617662618675650206776582482057838734529049871106898271269424035980329045224103
Sat Jan  4 09:50:53 2014  elapsed time 21:21:12 (Msieve 1.44 - dependency 4)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.675).
Factorization parameters were as follows:
#
#  25*10^211-7 - 27(211)
#
#  c210, diff: 212.4
#
skew: 0.551
n: 402576489533011272141706924315619967793880837359098228663446054750402576489533011272141706924315619967793880837359098228663446054750402576489533011272141706924315619967793880837359098228663446054750402576489533
m: 100000000000000000000000000000000000
deg: 6
c6: 250
c0: -7
# Murphy_E = 4.934e-12
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 24000000/24000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 34000000)
Primes: RFBsize:1507122, AFBsize:1505405,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9376854 hash collisions in 57649635 relations (50516692 unique)
Msieve: matrix is 3262282 x 3262507 (931.9 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 17hrs 16min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 3hrs 25min 44sec.

Prototype def-par.txt line would be:
snfs,212,6,0,0,0,0,0,0,0,0,24000000,24000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

6040806805958566838332865882694208123255183333251561607116214084923796117935213070098136238577845131587824093642200097632855311839126559846434191821712263933203<160>

2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<214>

1412766607428568448699792954611<31>
23400150510688097648172869867065578007<38>

84024981819480520112283387842582199116533866736231433547594409276481879023423366504397332447289248687448357255329966959281642217849612942535187501<146>

GMP-ECM 6.4.3 [configured with GMP 5.0.5] [P-1]
Input number is 2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (214 digits)
Using B1=30000000, B2=95693182, polynomial x^1, x0=2270268000
Step 1 took 79810ms
Step 2 took 171ms
********** Factor found in step 2: 1412766607428568448699792954611
Found probable prime factor of 31 digits: 1412766607428568448699792954611
Composite cofactor 1966197221233675213018266069197527747824468137205796209312086008707411685243972790128801481168376127755843956092398639038512538675798166793841132044246385050388271596610795490686890507 has 184 digits

GMP-ECM 6.4.3 [configured with GMP 5.0.5] [ECM]
Input number is 1966197221233675213018266069197527747824468137205796209312086008707411685243972790128801481168376127755843956092398639038512538675798166793841132044246385050388271596610795490686890507 (184 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=560899186
Step 1 took 19672ms
Step 2 took 6755ms
********** Factor found in step 2: 23400150510688097648172869867065578007
Found probable prime factor of 38 digits: 23400150510688097648172869867065578007
Composite cofactor 84024981819480520112283387842582199116533866736231433547594409276481879023423366504397332447289248687448357255329966959281642217849612942535187501 has 146 digits

84024981819480520112283387842582199116533866736231433547594409276481879023423366504397332447289248687448357255329966959281642217849612942535187501<146>

283423917644027091879061639451572355177789907426527215057457<60>
296463977062845007246154473007193456114214982331329909753070392225435931114100738492093<87>

84024981819480520112283387842582199116533866736231433547594409276481879023423366504397332447289248687448357255329966959281642217849612942535187501=283423917644027091879061639451572355177789907426527215057457*296463977062845007246154473007193456114214982331329909753070392225435931114100738492093 

cado polynomial
# Murphy_E = 1.494e-07
n: 84024981819480520112283387842582199116533866736231433547594409276481879023423366504397332447289248687448357255329966959281642217849612942535187501
Y0: -14017084727391283372275869323
Y1: 480726158725454488361
c0: 103311941455883747937239559480320
c1: 8998676340000626469707791568
c2: 70076608734361901510531
c3: -240023058031445901
c4: -387143512314
c5: 324120
skew: 322830.936
type: gnfs

cado parameters (extracts)
tasks.I = 13
tasks.lim0 = 10000000
tasks.lim1 = 20000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 87
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 296463977062845007246154473007193456114214982331329909753070392225435931114100738492093 283423917644027091879061639451572355177789907426527215057457
Info:Square Root: Total cpu/real time for sqrt: 1664.25/495.56
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6529.23
Info:Polynomial Selection (root optimized): Rootsieve time: 6526.75
Info:Quadratic Characters: Total cpu/real time for characters: 139.21/58.9796
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 232.26/290.137
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 289.4s
Info:Filtering - Merging: Merged matrix has 3624547 rows and total weight 618616209 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 975.28/273.507
Info:Filtering - Merging: Total cpu/real time for replay: 154.11/134.166
Info:Linear Algebra: Total cpu/real time for bwc: 240912/61719.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 155270.68, WCT time 39665.21, iteration CPU time 0.33, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (113664 iterations)
Info:Linear Algebra: Lingen CPU time 787.38, WCT time 199.85
Info:Linear Algebra: Mksol: CPU time 83405.35,  WCT time 21319.66, iteration CPU time 0.36, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (56832 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78354/44.530/52.602/57.130/0.895
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 63627/42.740/47.212/53.350/1.253
Info:Polynomial Selection (size optimized): Total time: 40789.4
Info:Generate Factor Base: Total cpu/real time for makefb: 18.5/4.93752
Info:Filtering - Singleton removal: Total cpu/real time for purge: 942.98/1063.62
Info:Square Root: Total cpu/real time for sqrt: 1664.25/495.56
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 51402788
Info:Lattice Sieving: Average J: 3785.42 for 1515232 special-q, max bucket fill -bkmult 1.0,1s:1.150380
Info:Lattice Sieving: Total time: 1.43465e+06s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1129.77/1126.15
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 938.1999999999998s
Info:Generate Free Relations: Total cpu/real time for freerel: 501.79/126.452
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.01606e+06/794695
Info:root: Cleaning up computation data in /tmp/cado.j1bq1edt
296463977062845007246154473007193456114214982331329909753070392225435931114100738492093 283423917644027091879061639451572355177789907426527215057457

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

342935528120713305898491083676268861454046639231824417009602194787379972565157750342935528120713305898491083676268861454046639231824417009602194787379972565157750342935528120713305898491083676268861454046639231824417<216>

413305422943997324789840046439179220410554319552677079511766647271081223545393<78>
829738757546331290326766245030178351750434691787274737589275886202611299517408845642392224357579979991399195830943234622993470623045821169<138>

Number: n
N=342935528120713305898491083676268861454046639231824417009602194787379972565157750342935528120713305898491083676268861454046639231824417009602194787379972565157750342935528120713305898491083676268861454046639231824417
  ( 216 digits)
SNFS difficulty: 218 digits.
Divisors found:

Mon Nov 20 00:20:36 2017  p78 factor: 413305422943997324789840046439179220410554319552677079511766647271081223545393
Mon Nov 20 00:20:36 2017  p138 factor: 829738757546331290326766245030178351750434691787274737589275886202611299517408845642392224357579979991399195830943234622993470623045821169
Mon Nov 20 00:20:36 2017  elapsed time 06:39:47 (Msieve 1.53 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.738).
Factorization parameters were as follows:
#
# 25x10^217-7 27(217)
#
n: 342935528120713305898491083676268861454046639231824417009602194787379972565157750342935528120713305898491083676268861454046639231824417009602194787379972565157750342935528120713305898491083676268861454046639231824417
m: 1000000000000000000000000000000000000
deg: 6
c6: 250
c0: -7
skew: 0.55
# Murphy_E = 3.103e-12
type: snfs
lss: 1
rlim: 31000000
alim: 31000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 31000000/31000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 57900000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13155118 hash collisions in 69669846 relations (58703887 unique)
Msieve: matrix is 3942005 x 3942230 (1124.9 MB)

Sieving start time: 2017/11/18 03:03:03
Sieving end time  : 2017/11/19 17:39:39

Total sieving time: 38hrs 36min 36secs.

Total relation processing time: 5hrs 47min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 56sec.

Prototype def-par.txt line would be:
snfs,218,6,0,0,0,0,0,0,0,0,31000000,31000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.068000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16297376K/16703460K available (9281K kernel code, 2477K rwdata, 3992K rodata, 2324K init, 2384K bss, 406084K reserved, 0K cma-reserved)
[    0.100624] x86/mm: Memory block size: 128MB
[    0.008000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.60 BogoMIPS (lpj=11977204)
[    0.098232] smpboot: Total of 16 processors activated (95817.63 BogoMIPS)

164747142026952694834955309714427603008961569291059722511362746647346138470333187714611289833857894229819721822944279210885737403702516803980093541846276091130811662325684822924160114709983159111737739301<204>

21609980434900016898335241294912506543715671441<47>

7623659934503542367563662492594453836638509636584330533510379642836682776155280990806498282839116525303831682712510121751538774102005633417272192321416005461<157>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4139568671
Step 1 took 445782ms
Step 2 took 127053ms
********** Factor found in step 2: 21609980434900016898335241294912506543715671441
Found probable prime factor of 47 digits: 21609980434900016898335241294912506543715671441

7623659934503542367563662492594453836638509636584330533510379642836682776155280990806498282839116525303831682712510121751538774102005633417272192321416005461<157>

752597411100039812452810009062221131794178504593224872106114699577896144701<75>
10129798245466139732577987816189321447167662722096609471844013910888456605576288761<83>

Number: 27777_221
N = 7623659934503542367563662492594453836638509636584330533510379642836682776155280990806498282839116525303831682712510121751538774102005633417272192321416005461 (157 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=752597411100039812452810009062221131794178504593224872106114699577896144701 (pp75)
r2=10129798245466139732577987816189321447167662722096609471844013910888456605576288761 (pp83)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 84.48 hours.
Factorization parameters were as follows:
n: 7623659934503542367563662492594453836638509636584330533510379642836682776155280990806498282839116525303831682712510121751538774102005633417272192321416005461
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 250
c0: -7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8261488 relations
Pruned matrix : 7186195 x 7186421
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 43.88 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 39.78 hours.
time per square root: 0.51 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 84.48 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

9718860735717935803428956176231061093775770487968915324370245041039252350163597705828437385803645557002991073167131610638566385856913722724800893215592154720228881<163>

9183270007151590069004367363603906885165407449458447130168063123417695822121<76>
1058322441586629549209983111680960677431169673430078137426876260348323370152329865339561<88>

Number: 27777_222
N = 9718860735717935803428956176231061093775770487968915324370245041039252350163597705828437385803645557002991073167131610638566385856913722724800893215592154720228881 (163 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=9183270007151590069004367363603906885165407449458447130168063123417695822121 (pp76)
r2=1058322441586629549209983111680960677431169673430078137426876260348323370152329865339561 (pp88)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 76.84 hours.
Factorization parameters were as follows:
n: 9718860735717935803428956176231061093775770487968915324370245041039252350163597705828437385803645557002991073167131610638566385856913722724800893215592154720228881
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 2500
c0: -7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 22369622
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/22369622
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33281584
Relations: 9723094 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 33.14 hours.
Total relation processing time: 0.43 hours.
Pruned matrix : 8285358 x 8285584
Matrix solve time: 42.71 hours.
time per square root: 0.56 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,22369622,29,28,58,56,2.8,2.8,100000
total time: 76.84 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

95456281023291332569683085147002672775868652157311951126384116074837724322260404734631538755250095456281023291332569683085147002672775868652157311951126384116074837724322260404734631538755250095456281023291332569683085147<221>

3235796121469404306651474956810950052821579133614397686397217727<64>
29500091303633731831507343373346602339853958734066667673473060353253563952801997560636489497692306145949935163651806765974017579011803766112398195916260719461<158>

Number: n
N=95456281023291332569683085147002672775868652157311951126384116074837724322260404734631538755250095456281023291332569683085147002672775868652157311951126384116074837724322260404734631538755250095456281023291332569683085147
  ( 221 digits)
SNFS difficulty: 224 digits.
Divisors found:

Mon Apr 29 02:01:39 2019  p64 factor: 3235796121469404306651474956810950052821579133614397686397217727
Mon Apr 29 02:01:39 2019  p158 factor: 29500091303633731831507343373346602339853958734066667673473060353253563952801997560636489497692306145949935163651806765974017579011803766112398195916260719461
Mon Apr 29 02:01:39 2019  elapsed time 12:09:56 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.122).
Factorization parameters were as follows:
#
# N = 25x10^223-7 = 27(223)
#
n: 95456281023291332569683085147002672775868652157311951126384116074837724322260404734631538755250095456281023291332569683085147002672775868652157311951126384116074837724322260404734631538755250095456281023291332569683085147
m: 10000000000000000000000000000000000000
deg: 6
c6: 250
c0: -7
skew: 0.55
# Murphy_E = 1.944e-12
type: snfs
lss: 1
rlim: 38000000
alim: 38000000
lpbr: 29
lpba: 29
mfbr: 59
mfba: 59
rlambda: 2.6
alambda: 2.6
Factor base limits: 38000000/38000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 59/59
Sieved  special-q in [100000, 87800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13467758 hash collisions in 68531631 relations (56933126 unique)
Msieve: matrix is 4684691 x 4684916 (1641.4 MB)

Sieving start time: 2019/04/26 19:45:20
Sieving end time  : 2019/04/28 13:48:20

Total sieving time: 42hrs 3min 0secs.

Total relation processing time: 11hrs 37min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 51sec.

Prototype def-par.txt line would be:
snfs,224,6,0,0,0,0,0,0,0,0,38000000,38000000,29,29,59,59,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285104K/16703460K available (12300K kernel code, 2473K rwdata, 4252K rodata, 2408K init, 2416K bss, 418356K reserved, 0K cma-reserved)
[    0.080571] x86/mm: Memory block size: 128MB
[    0.032000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.46 BogoMIPS (lpj=11976920)
[    0.078216] smpboot: Total of 16 processors activated (95815.36 BogoMIPS)

14619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883<224>

22436376057223279441835297797984458545136991877527<50>
53418893236673301256613127498999105037055035363241<50>
12198215507666185352423219877399074754467624097965169244919762268781701864335133260020319078988512086507899233666752426779269<125>

Number: n
N=14619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883
  ( 224 digits)
SNFS difficulty: 226 digits.
Divisors found:

Sun Sep 16 00:28:26 2018  found factor: 53418893236673301256613127498999105037055035363241
Sun Sep 16 01:14:02 2018  p50 factor: 22436376057223279441835297797984458545136991877527
Sun Sep 16 01:14:02 2018  p50 factor: 53418893236673301256613127498999105037055035363241
Sun Sep 16 01:14:02 2018  p125 factor: 12198215507666185352423219877399074754467624097965169244919762268781701864335133260020319078988512086507899233666752426779269
Sun Sep 16 01:14:02 2018  elapsed time 14:25:36 (Msieve 1.54 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.746).
Factorization parameters were as follows:
#
# N = 25x10^224-7 = 27(224)
#
n: 14619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883
m: 50000000000000000000000000000000000000
deg: 6
c6: 4
c0: -175
skew: 1.88
# Murphy_E = 1.694e-12
type: snfs
lss: 1
rlim: 42000000
alim: 42000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 42000000/42000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved  special-q in [100000, 61000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 16966804 hash collisions in 105182919 relations (91026682 unique)
Msieve: matrix is 5327991 x 5328216 (1869.7 MB)

Sieving start time: 2018/09/14 07:11:16
Sieving end time  : 2018/09/15 10:45:15

Total sieving time: 27hrs 33min 59secs.

Total relation processing time: 12hrs 53min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 55min 39sec.

Prototype def-par.txt line would be:
snfs,226,6,0,0,0,0,0,0,0,0,42000000,42000000,30,30,59,59,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.052000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285132K/16703460K available (12300K kernel code, 2470K rwdata, 4244K rodata, 2408K init, 2416K bss, 418328K reserved, 0K cma-reserved)
[    0.084569] x86/mm: Memory block size: 128MB
[    0.032000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.70 BogoMIPS (lpj=11977408)
[    0.082216] smpboot: Total of 16 processors activated (95819.26 BogoMIPS)

104312497338851601059244835854988669742508158269927365247885317528872195987443406209557629519114716327268614417994948007315553667775750588825976771211776913848347189762284230089107575616100029575409<198>

59550226502808432095891841677224436957<38>
130274756095090049796350674733419622945211397<45>
6413929620730413870356811496657633402293625531<46>
2096372559486224474417691462969195301496758869869061183294435268087891<70>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=40095481
Step 1 took 137293ms
********** Factor found in step 1: 130274756095090049796350674733419622945211397
Found probable prime factor of 45 digits: 130274756095090049796350674733419622945211397

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=765647193
Step 1 took 80908ms
Step 2 took 29605ms
********** Factor found in step 2: 59550226502808432095891841677224436957
Found probable prime factor of 38 digits: 59550226502808432095891841677224436957

GNFS:
N=13445986055375126733320711786909670274646895579371368815430423989761907741397158540390099470632674678272616349545121
  ( 116 digits)
Divisors found:
 r1=6413929620730413870356811496657633402293625531 (pp46)
 r2=2096372559486224474417691462969195301496758869869061183294435268087891 (pp70)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 34.84 hours.
Scaled time: 14.80 units (timescale=0.425).
Factorization parameters were as follows:
n: 13445986055375126733320711786909670274646895579371368815430423989761907741397158540390099470632674678272616349545121
skew: 109185.17
c0: 155119063389163880549790941680
c1: -2079761026570895859303892
c2: -23763815576476088140
c3: 195625365251509
c4: 1594211202
c5: 21780
Y0: -14391520293112274688879
Y1: 637905686509
type: gnfs
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 200000
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2300000, 3300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 539128 x 539366
Total sieving time: 33.40 hours.
Total relation processing time: 0.39 hours.
Matrix solve time: 0.77 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4600000,4600000,27,27,54,54,2.5,2.5,100000
total time: 34.84 hours.
 --------- CPU info (if available) ----------

75258135404437219663445618471356753665071194196092597609801619555073903488967157349709503597338872332099099912700562930852825190403082573226165748517414732532586772630121316114271952798097474336975827086908094765044101267347<224>

65905307042790995402568315508788365076178929939042159736469<59>
1141913129326195539857146660830994266022920583397701939215892389785830743839320475318158777157245501697605422511517675960146023935030900803953106608478377688316304263<166>

Number: n
N=75258135404437219663445618471356753665071194196092597609801619555073903488967157349709503597338872332099099912700562930852825190403082573226165748517414732532586772630121316114271952798097474336975827086908094765044101267347
  ( 224 digits)
SNFS difficulty: 228 digits.
Divisors found:

Tue Oct  9 05:18:32 2018  p59 factor: 65905307042790995402568315508788365076178929939042159736469
Tue Oct  9 05:18:32 2018  p166 factor: 1141913129326195539857146660830994266022920583397701939215892389785830743839320475318158777157245501697605422511517675960146023935030900803953106608478377688316304263
Tue Oct  9 05:18:32 2018  elapsed time 17:45:42 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.127).
Factorization parameters were as follows:
#
# N = 25x10^227-7 = 27(227)
#
n: 75258135404437219663445618471356753665071194196092597609801619555073903488967157349709503597338872332099099912700562930852825190403082573226165748517414732532586772630121316114271952798097474336975827086908094765044101267347
m: 100000000000000000000000000000000000000
deg: 6
c6: 5
c0: -14
skew: 1.19
# Murphy_E = 1.443e-12
type: snfs
lss: 1
rlim: 45000000
alim: 45000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 45000000/45000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved  special-q in [100000, 76900000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 17704513 hash collisions in 106918670 relations (91943403 unique)
Msieve: matrix is 5935603 x 5935828 (2085.9 MB)

Sieving start time: 2018/10/06 21:38:52
Sieving end time  : 2018/10/08 11:27:34

Total sieving time: 37hrs 48min 42secs.

Total relation processing time: 16hrs 53min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 18sec.

Prototype def-par.txt line would be:
snfs,228,6,0,0,0,0,0,0,0,0,45000000,45000000,30,30,59,59,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285120K/16703460K available (12300K kernel code, 2472K rwdata, 4248K rodata, 2408K init, 2416K bss, 418340K reserved, 0K cma-reserved)
[    0.076570] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5989.19 BogoMIPS (lpj=11978392)
[    0.074211] smpboot: Total of 16 processors activated (95827.13 BogoMIPS)

170025902947325949903713012386816955799336800790837111424274961226681751882644367036770267837235216870676819514921599419069597655026138208136871502170922629403924694452938404839073025510693453723756798670843763<210>

39886061037656820150416428997<29>

4262790020473639469280940118491913673431799749700261106138292834359338386612649995967312811417381851444515477032381611305430862442865699171179720734466015319671550090161279649349079<181>

GMP-ECM 6.4.3 [configured with GMP 5.0.5] [ECM]
Input number is 170025902947325949903713012386816955799336800790837111424274961226681751882644367036770267837235216870676819514921599419069597655026138208136871502170922629403924694452938404839073025510693453723756798670843763 (210 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2094001355
Step 1 took 29172ms
********** Factor found in step 1: 39886061037656820150416428997
Found probable prime factor of 29 digits: 39886061037656820150416428997
Composite cofactor 4262790020473639469280940118491913673431799749700261106138292834359338386612649995967312811417381851444515477032381611305430862442865699171179720734466015319671550090161279649349079 has 181 digits

4262790020473639469280940118491913673431799749700261106138292834359338386612649995967312811417381851444515477032381611305430862442865699171179720734466015319671550090161279649349079<181>

26505742851225277068112886597285047<35>

160825148134891231818292537224244458046943028189659062151953162709720123669781771522984869124369198669105895447572312086746459612185107163508236257<147>

GMP-ECM 6.4.3 [configured with GMP 5.0.5] [ECM]
Input number is 4262790020473639469280940118491913673431799749700261106138292834359338386612649995967312811417381851444515477032381611305430862442865699171179720734466015319671550090161279649349079 (181 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=844346015
Step 1 took 17238ms
Step 2 took 6224ms
********** Factor found in step 2: 26505742851225277068112886597285047
Found probable prime factor of 35 digits: 26505742851225277068112886597285047
Composite cofactor 160825148134891231818292537224244458046943028189659062151953162709720123669781771522984869124369198669105895447572312086746459612185107163508236257 has 147 digits

160825148134891231818292537224244458046943028189659062151953162709720123669781771522984869124369198669105895447572312086746459612185107163508236257<147>

4741339453822622223992718588923099338289765444192806867957<58>
33919770921533315160739505864765594098164620874911026014659600435325121022991141659251901<89>

160825148134891231818292537224244458046943028189659062151953162709720123669781771522984869124369198669105895447572312086746459612185107163508236257=4741339453822622223992718588923099338289765444192806867957*33919770921533315160739505864765594098164620874911026014659600435325121022991141659251901

cado polynomial
n: 160825148134891231818292537224244458046943028189659062151953162709720123669781771522984869124369198669105895447572312086746459612185107163508236257
skew: 481636.471
c0: -45844386100990540994814231164636190
c1: -137719798753854985044603101065
c2: 1105914140261213150965938
c3: 478690760458795705
c4: -1383938272572
c5: 1733760
Y0: -14184725157278713840266724832
Y1: 555599799973556199187
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.557e-07
# f(x) = 1733760*x^5-1383938272572*x^4+478690760458795705*x^3+1105914140261213150965938*x^2-137719798753854985044603101065*x-45844386100990540994814231164636190
# g(x) = 555599799973556199187*x-14184725157278713840266724832

cado parameters (extracts)
tasks.lim0 = 10000000
tasks.lim1 = 20000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 87
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 4741339453822622223992718588923099338289765444192806867957 33919770921533315160739505864765594098164620874911026014659600435325121022991141659251901
Info:Square Root: Total cpu/real time for sqrt: 3470.75/1067.27
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 231.38/279.717
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 279.0s
Info:Generate Factor Base: Total cpu/real time for makefb: 18.53/4.92251
Info:Quadratic Characters: Total cpu/real time for characters: 146.37/62.992
Info:Square Root: Total cpu/real time for sqrt: 3470.75/1067.27
Info:Filtering - Singleton removal: Total cpu/real time for purge: 834.94/947.529
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5940.82
Info:Polynomial Selection (root optimized): Rootsieve time: 5938.44
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78602/43.130/52.703/57.730/0.891
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 63819/42.330/47.336/53.460/1.277
Info:Polynomial Selection (size optimized): Total time: 40581.3
Info:Filtering - Merging: Merged matrix has 3742111 rows and total weight 637160725 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 999.02/280.734
Info:Filtering - Merging: Total cpu/real time for replay: 161.97/139.911
Info:Linear Algebra: Total cpu/real time for bwc: 174128/44541
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 84182.41, WCT time 21487.93, iteration CPU time 0.34, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (117248 iterations)
Info:Linear Algebra: Lingen CPU time 835.25, WCT time 212.01
Info:Linear Algebra: Mksol: CPU time 89100.31,  WCT time 22769.95, iteration CPU time 0.37, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (58880 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 50300676
Info:Lattice Sieving: Average J: 3807.36 for 1395298 special-q, max bucket fill -bkmult 1.0,1s:1.121420
Info:Lattice Sieving: Total time: 1.47803e+06s
Info:Generate Free Relations: Total cpu/real time for freerel: 500.52/126.792
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1078.58/1071.04
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 903.7999999999998s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.0589e+06/565.641
4741339453822622223992718588923099338289765444192806867957 33919770921533315160739505864765594098164620874911026014659600435325121022991141659251901

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

4839420934319776643406089257672278950283998713586337661601705472198777200455037049407058705244165467582123807652181699752155048081491327698162231336965005033789872293811281712136713724008291469<193>

14895983415526370692203741012323483680290833<44>
324880929262820936336697954233593786054897276473122642447996506121653014269721129217128639215291957350566845528379287403543304823406737475963606268093<150>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=673384177
Step 1 took 445692ms
Step 2 took 99606ms
********** Factor found in step 2: 14895983415526370692203741012323483680290833
Found probable prime factor of 44 digits: 14895983415526370692203741012323483680290833

7796245464775953576473079720012850313107488691888593825389352582757118542967750214435239830370502339340510279620364021739758471658274838363323184135317917971<157>

114568110223766501371213543011001475186713<42>
61010227657778565453200248003248153403749485141<47>
1115370385687517564404728022131821242980428500888185899298110475096287<70>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3035628860
Step 1 took 23822ms
Step 2 took 13072ms
********** Factor found in step 2: 114568110223766501371213543011001475186713
Found probable prime factor of 42 digits: 114568110223766501371213543011001475186713
Composite cofactor 68049001153539729917337553839022020378106715645559104222182251446750689941899724199720465764299607502175778650771467 has 116 digits

N = 68049001153539729917337553839022020378106715645559104222182251446750689941899724199720465764299607502175778650771467 (116 digits)
Divisors found:
r1=61010227657778565453200248003248153403749485141 (pp47)
r2=1115370385687517564404728022131821242980428500888185899298110475096287 (pp70)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 6.14 hours.
Factorization parameters were as follows:
n: 68049001153539729917337553839022020378106715645559104222182251446750689941899724199720465764299607502175778650771467
Y0: -19645258765361085074769
Y1: 2110837488931
c0: 14829513359380927080429308896
c1: 1771472697984200231419596
c2: 19043507144888646268
c3: -976350112042428
c4: -1012704923
c5: 23256
skew: 83146.02  
type: gnfs
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 9404579
Relations: 1219660 relations
Pruned matrix : 652972 x 653200
Polynomial selection time: 0.00 hours.
Total sieving time: 5.73 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.33 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: gnfs,115,5,63,2000,2.6e-05,0.28,250,20,50000,3600,3400000,3400000,27,27,53,53,2.5,2.5,100000
total time: 6.14 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

GMP-ECM 6.3

83389204100080387192752477493253813388303496676106324570795766496886247118902998342222622490401902608080747434114189840526486079006267532580162041901407276208392956614264890810176151354741009809905970333456749355401452306378607<227>

4684655895550600967810897256207274125018751<43>
17800497188978576240333596016100748766614265090000671393268021226524428369198858148091648088426024432255442738837650303007614526924268714337783756179751641058059025954718707107309059857<185>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2129180719
Step 1 took 448279ms
Step 2 took 111751ms
********** Factor found in step 2: 4684655895550600967810897256207274125018751
Found probable prime factor of 43 digits: 4684655895550600967810897256207274125018751

87632051909271927337629252126234868399754738263614368540573287554308437686095928929563638300351505869888545150554661067353116709461317554744062273923880184494876526223728381178040835578521616974952212763936750883<212>

174096332553941999122438155944007658228616663<45>
503353807766858136892651005514208606287761135330731755935875350885640628675651555744922039803747770655939553633632305171216798977668003004290199751627181192898820417941<168>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3831949673
Step 1 took 146488ms
********** Factor found in step 1: 174096332553941999122438155944007658228616663
Found probable prime factor of 45 digits: 174096332553941999122438155944007658228616663

7533106428333281249435487837026774736370428130212806068193241041992177845264768999415711172720471373106285143994259676477847757021930165493941283708169108223297775052119077452516622982031826633402035565283989991659434959826531<226>

59101654846335697399527186761229314420803782505910165484633569739952718676122931442080378250591016548463356973995271867612293144208037825059101654846335697399527186761229314420803782505910165484633569739952718676122931442080378250591<233>

105502904501459960400199664448790601<36>
12156511467589535495892711596150485963<38>
46081463273012175732750729633410962094403903705248938390718608933457769862417713997715500199092384739432735055333706099538302262011927044383128589555223733084757<161>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1516359270
Step 1 took 49969ms
Step 2 took 15531ms
********** Factor found in step 2: 105502904501459960400199664448790601
Found probable prime factor of 36 digits: 105502904501459960400199664448790601

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3404575528
Step 1 took 37350ms
Step 2 took 12626ms
********** Factor found in step 2: 12156511467589535495892711596150485963
Found probable prime factor of 38 digits: 12156511467589535495892711596150485963

3171562427993803748405972213560163501130259605150843899463526618153615222456244755360221243393277534479548455270183777513902056830076674257123890833293072671256939682355505407969105215739<187>

4849248619133066493164884154083469834142484583145254664206277921928832491559300765136506834153992725954010976684042247732315540796795741396401599038273284283281177992800883041326295137121048632995985137675947<208>

202526408654452644839691898157547882643145972324935545305533293456432834306667286464284940767421478982433874592214189836601829152206439799571521930200056986972198499132016957223211029216345921570445898043391004469096065088030161<228>

2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<241>

16169681673887309585040181842569<32>

171789267952235432589070682006676849328897034320500000827723993692708301933999005922021039436151272254539244342206870578340769284541421124099177911640345535773920732050131990395693012462770935394671471495717033<210>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=732363670
Step 1 took 18840ms
Step 2 took 7190ms
********** Factor found in step 2: 16169681673887309585040181842569
Found probable prime factor of 32 digits: 16169681673887309585040181842569
Composite cofactor 171789267952235432589070682006676849328897034320500000827723993692708301933999005922021039436151272254539244342206870578340769284541421124099177911640345535773920732050131990395693012462770935394671471495717033 has 210 digits

GMP-ECM 6.4.4 

Core i5 750, Linux

171789267952235432589070682006676849328897034320500000827723993692708301933999005922021039436151272254539244342206870578340769284541421124099177911640345535773920732050131990395693012462770935394671471495717033<210>

105685773497972269823755375053587028992765156161441840990195078939090523339<75>
1625472022074299822945158355471845161257675616216074054765385896197743437897709601445849396663705669847439832316707767445257317991785947<136>

Number: 27777_240
N = 171789267952235432589070682006676849328897034320500000827723993692708301933999005922021039436151272254539244342206870578340769284541421124099177911640345535773920732050131990395693012462770935394671471495717033 (210 digits)
SNFS difficulty: 242 digits.
Divisors found:
r1=105685773497972269823755375053587028992765156161441840990195078939090523339 (pp75)
r2=1625472022074299822945158355471845161257675616216074054765385896197743437897709601445849396663705669847439832316707767445257317991785947 (pp136)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 76.32 hours.
Factorization parameters were as follows:
n: 171789267952235432589070682006676849328897034320500000827723993692708301933999005922021039436151272254539244342206870578340769284541421124099177911640345535773920732050131990395693012462770935394671471495717033 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 4
c4: 25
c0: -7
skew: 1.00
type: snfs
lss: 1
rlim: 500000000
alim: 150000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 500000000/150000000
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 65575581
Relations: 14158960 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 18.00 hours.
Total relation processing time: 0.61 hours.
Pruned matrix : 11331053 x 11331278
Matrix solve time: 57.01 hours.
time per square root: 0.69 hours.
Prototype def-par.txt line would be: snfs,242,4,0,0,0,0,0,0,0,0,500000000,150000000,29,29,58,58,2.8,2.8,100000
total time: 76.32 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

955898669230195480473757967337387879954928194045299800351919141803499698637208199672770300636831085390710921139767104002579480123720821441436208178775787627336783230434039493259566686405166939276793130901951<207>

995806803655996031716856278887765482893301919119612803095426967407202971347610454263120216704003549222695077584845433706055932612075231367099735601569881742899018502510938875544266759277759889356156289001000981444549<216>

385515011009117389975087611952277653099889585003<48>
2583055847940627412362293128859262586382553830266116967314574693604680302352198358614631190035868221575019086469250515464831706343341038838682677443975836102432777463183<169>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1093791042
Step 1 took 145492ms
********** Factor found in step 1: 385515011009117389975087611952277653099889585003
Found probable prime factor of 48 digits: 385515011009117389975087611952277653099889585003

262095851839207028406910093610768221549232647516823635495056619403402538541689288482867054762369127220249207012756713403802119109957131506784591718783562825912275749376702672235895944222901356043094918619451<207>

2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<247>

592604788938303862720774902984502208861751153619497267531492667227020926201343<78>
4687403526985288114608513592107319142740190323527045136517560558582810205297443518121375120767367187362183972398441124551009604608624841047009973497181034371002388157839<169>

Sieving done by NFS@home, linear algebra and square root done by Dmitry Domanov.

Sat Feb 22 23:02:52 2020  Msieve v. 1.54 (SVN 1025)
Sat Feb 22 23:02:52 2020  random seeds: b4490a15 56643acc
Sat Feb 22 23:02:52 2020  factoring 2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (247 digits)
Sat Feb 22 23:02:53 2020  no P-1/P+1/ECM available, skipping
Sat Feb 22 23:02:53 2020  commencing number field sieve (247-digit input)
Sat Feb 22 23:02:53 2020  R0: -100000000000000000000000000000000000000000
Sat Feb 22 23:02:53 2020  R1: 1
Sat Feb 22 23:02:53 2020  A0: -7
Sat Feb 22 23:02:53 2020  A1: 0
Sat Feb 22 23:02:53 2020  A2: 0
Sat Feb 22 23:02:53 2020  A3: 0
Sat Feb 22 23:02:53 2020  A4: 0
Sat Feb 22 23:02:53 2020  A5: 0
Sat Feb 22 23:02:53 2020  A6: 25
Sat Feb 22 23:02:53 2020  skew 1.00, size 3.468e-12, alpha 0.442, combined = 2.929e-13 rroots = 2
Sat Feb 22 23:02:53 2020  
Sat Feb 22 23:02:53 2020  commencing relation filtering
Sat Feb 22 23:02:53 2020  setting target matrix density to 110.0
Sat Feb 22 23:02:53 2020  estimated available RAM is 15892.1 MB
Sat Feb 22 23:02:53 2020  commencing duplicate removal, pass 1
Sat Feb 22 23:45:49 2020  skipped 134 relations with b > 2^32
Sat Feb 22 23:45:49 2020  skipped 2341 relations with composite factors
Sat Feb 22 23:45:49 2020  found 57516243 hash collisions in 251390063 relations
Sat Feb 22 23:46:04 2020  commencing duplicate removal, pass 2
Sat Feb 22 23:52:56 2020  found 62438103 duplicates and 188951960 unique relations
Sat Feb 22 23:52:56 2020  memory use: 1449.5 MB
Sat Feb 22 23:52:56 2020  reading ideals above 159973376
Sat Feb 22 23:52:56 2020  commencing singleton removal, initial pass
Sun Feb 23 00:23:59 2020  memory use: 3012.0 MB
Sun Feb 23 00:23:59 2020  reading all ideals from disk
Sun Feb 23 00:24:20 2020  memory use: 3283.9 MB
Sun Feb 23 00:24:30 2020  commencing in-memory singleton removal
Sun Feb 23 00:24:39 2020  begin with 188951960 relations and 159672716 unique ideals
Sun Feb 23 00:26:38 2020  reduce to 120938460 relations and 84595807 ideals in 15 passes
Sun Feb 23 00:26:38 2020  max relations containing the same ideal: 44
Sun Feb 23 00:26:50 2020  reading ideals above 720000
Sun Feb 23 00:26:50 2020  commencing singleton removal, initial pass
Sun Feb 23 00:55:44 2020  memory use: 2756.0 MB
Sun Feb 23 00:55:44 2020  reading all ideals from disk
Sun Feb 23 00:56:15 2020  memory use: 4775.7 MB
Sun Feb 23 00:56:31 2020  keeping 101936824 ideals with weight <= 200, target excess is 602737
Sun Feb 23 00:56:50 2020  commencing in-memory singleton removal
Sun Feb 23 00:57:02 2020  begin with 120938460 relations and 101936824 unique ideals
Sun Feb 23 00:58:35 2020  reduce to 120929583 relations and 101927945 ideals in 7 passes
Sun Feb 23 00:58:35 2020  max relations containing the same ideal: 200
Sun Feb 23 00:59:42 2020  removing 11623548 relations and 9623548 ideals in 2000000 cliques
Sun Feb 23 00:59:46 2020  commencing in-memory singleton removal
Sun Feb 23 00:59:57 2020  begin with 109306035 relations and 101927945 unique ideals
Sun Feb 23 01:01:43 2020  reduce to 108379840 relations and 91357942 ideals in 9 passes
Sun Feb 23 01:01:43 2020  max relations containing the same ideal: 194
Sun Feb 23 01:02:48 2020  removing 8892237 relations and 6892237 ideals in 2000000 cliques
Sun Feb 23 01:02:52 2020  commencing in-memory singleton removal
Sun Feb 23 01:03:04 2020  begin with 99487603 relations and 91357942 unique ideals
Sun Feb 23 01:04:48 2020  reduce to 98868630 relations and 83834802 ideals in 8 passes
Sun Feb 23 01:04:48 2020  max relations containing the same ideal: 187
Sun Feb 23 01:05:53 2020  removing 8074422 relations and 6074422 ideals in 2000000 cliques
Sun Feb 23 01:05:57 2020  commencing in-memory singleton removal
Sun Feb 23 01:06:07 2020  begin with 90794208 relations and 83834802 unique ideals
Sun Feb 23 01:07:53 2020  reduce to 90239186 relations and 77194644 ideals in 9 passes
Sun Feb 23 01:07:53 2020  max relations containing the same ideal: 175
Sun Feb 23 01:08:53 2020  removing 7675016 relations and 5675016 ideals in 2000000 cliques
Sun Feb 23 01:08:57 2020  commencing in-memory singleton removal
Sun Feb 23 01:09:06 2020  begin with 82564170 relations and 77194644 unique ideals
Sun Feb 23 01:10:31 2020  reduce to 82028191 relations and 70972717 ideals in 8 passes
Sun Feb 23 01:10:31 2020  max relations containing the same ideal: 167
Sun Feb 23 01:11:26 2020  removing 7445680 relations and 5445680 ideals in 2000000 cliques
Sun Feb 23 01:11:30 2020  commencing in-memory singleton removal
Sun Feb 23 01:11:38 2020  begin with 74582511 relations and 70972717 unique ideals
Sun Feb 23 01:12:55 2020  reduce to 74040065 relations and 64972742 ideals in 8 passes
Sun Feb 23 01:12:55 2020  max relations containing the same ideal: 155
Sun Feb 23 01:13:44 2020  removing 7307654 relations and 5307654 ideals in 2000000 cliques
Sun Feb 23 01:13:47 2020  commencing in-memory singleton removal
Sun Feb 23 01:13:55 2020  begin with 66732411 relations and 64972742 unique ideals
Sun Feb 23 01:15:00 2020  reduce to 66166098 relations and 59085232 ideals in 8 passes
Sun Feb 23 01:15:00 2020  max relations containing the same ideal: 144
Sun Feb 23 01:15:45 2020  removing 7221046 relations and 5221046 ideals in 2000000 cliques
Sun Feb 23 01:15:48 2020  commencing in-memory singleton removal
Sun Feb 23 01:15:54 2020  begin with 58945052 relations and 59085232 unique ideals
Sun Feb 23 01:16:50 2020  reduce to 58338688 relations and 53241701 ideals in 8 passes
Sun Feb 23 01:16:50 2020  max relations containing the same ideal: 133
Sun Feb 23 01:17:30 2020  removing 7182462 relations and 5182462 ideals in 2000000 cliques
Sun Feb 23 01:17:33 2020  commencing in-memory singleton removal
Sun Feb 23 01:17:38 2020  begin with 51156226 relations and 53241701 unique ideals
Sun Feb 23 01:18:25 2020  reduce to 50484167 relations and 47366804 ideals in 8 passes
Sun Feb 23 01:18:25 2020  max relations containing the same ideal: 122
Sun Feb 23 01:19:00 2020  removing 7171598 relations and 5171598 ideals in 2000000 cliques
Sun Feb 23 01:19:03 2020  commencing in-memory singleton removal
Sun Feb 23 01:19:07 2020  begin with 43312569 relations and 47366804 unique ideals
Sun Feb 23 01:20:04 2020  reduce to 42537844 relations and 41393883 ideals in 11 passes
Sun Feb 23 01:20:04 2020  max relations containing the same ideal: 109
Sun Feb 23 01:20:34 2020  removing 2187536 relations and 1742750 ideals in 444786 cliques
Sun Feb 23 01:20:36 2020  commencing in-memory singleton removal
Sun Feb 23 01:20:40 2020  begin with 40350308 relations and 41393883 unique ideals
Sun Feb 23 01:21:13 2020  reduce to 40271384 relations and 39571447 ideals in 7 passes
Sun Feb 23 01:21:13 2020  max relations containing the same ideal: 106
Sun Feb 23 01:21:47 2020  relations with 0 large ideals: 22769
Sun Feb 23 01:21:47 2020  relations with 1 large ideals: 7317
Sun Feb 23 01:21:47 2020  relations with 2 large ideals: 94313
Sun Feb 23 01:21:47 2020  relations with 3 large ideals: 696914
Sun Feb 23 01:21:47 2020  relations with 4 large ideals: 2815792
Sun Feb 23 01:21:47 2020  relations with 5 large ideals: 6826394
Sun Feb 23 01:21:47 2020  relations with 6 large ideals: 10379707
Sun Feb 23 01:21:47 2020  relations with 7+ large ideals: 19428178
Sun Feb 23 01:21:47 2020  commencing 2-way merge
Sun Feb 23 01:22:24 2020  reduce to 26169978 relation sets and 25470041 unique ideals
Sun Feb 23 01:22:24 2020  commencing full merge
Sun Feb 23 01:34:59 2020  memory use: 3360.8 MB
Sun Feb 23 01:35:01 2020  found 12062401 cycles, need 12018241
Sun Feb 23 01:35:05 2020  weight of 12018241 cycles is about 1322109212 (110.01/cycle)
Sun Feb 23 01:35:05 2020  distribution of cycle lengths:
Sun Feb 23 01:35:05 2020  1 relations: 666937
Sun Feb 23 01:35:05 2020  2 relations: 852846
Sun Feb 23 01:35:05 2020  3 relations: 945756
Sun Feb 23 01:35:05 2020  4 relations: 947110
Sun Feb 23 01:35:05 2020  5 relations: 938379
Sun Feb 23 01:35:05 2020  6 relations: 907320
Sun Feb 23 01:35:05 2020  7 relations: 865942
Sun Feb 23 01:35:05 2020  8 relations: 813327
Sun Feb 23 01:35:05 2020  9 relations: 754650
Sun Feb 23 01:35:05 2020  10+ relations: 4325974
Sun Feb 23 01:35:05 2020  heaviest cycle: 28 relations
Sun Feb 23 01:35:09 2020  commencing cycle optimization
Sun Feb 23 01:35:32 2020  start with 99585653 relations
Sun Feb 23 01:39:20 2020  pruned 4152340 relations
Sun Feb 23 01:39:20 2020  memory use: 2698.8 MB
Sun Feb 23 01:39:20 2020  distribution of cycle lengths:
Sun Feb 23 01:39:20 2020  1 relations: 666937
Sun Feb 23 01:39:20 2020  2 relations: 873137
Sun Feb 23 01:39:20 2020  3 relations: 985265
Sun Feb 23 01:39:20 2020  4 relations: 983934
Sun Feb 23 01:39:20 2020  5 relations: 980177
Sun Feb 23 01:39:20 2020  6 relations: 945350
Sun Feb 23 01:39:20 2020  7 relations: 904773
Sun Feb 23 01:39:20 2020  8 relations: 844212
Sun Feb 23 01:39:20 2020  9 relations: 781195
Sun Feb 23 01:39:20 2020  10+ relations: 4053261
Sun Feb 23 01:39:20 2020  heaviest cycle: 28 relations
Sun Feb 23 01:39:50 2020  RelProcTime: 9417
Sun Feb 23 01:39:50 2020  elapsed time 02:36:58
Sun Feb 23 01:40:14 2020  
Sun Feb 23 01:40:14 2020  
Sun Feb 23 01:40:14 2020  Msieve v. 1.54 (SVN 1025)
Sun Feb 23 01:40:14 2020  random seeds: 7fccd0af ace5f9a6
Sun Feb 23 01:40:14 2020  factoring 2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (247 digits)
Sun Feb 23 01:40:15 2020  no P-1/P+1/ECM available, skipping
Sun Feb 23 01:40:15 2020  commencing number field sieve (247-digit input)
Sun Feb 23 01:40:15 2020  R0: -100000000000000000000000000000000000000000
Sun Feb 23 01:40:15 2020  R1: 1
Sun Feb 23 01:40:15 2020  A0: -7
Sun Feb 23 01:40:15 2020  A1: 0
Sun Feb 23 01:40:15 2020  A2: 0
Sun Feb 23 01:40:15 2020  A3: 0
Sun Feb 23 01:40:15 2020  A4: 0
Sun Feb 23 01:40:15 2020  A5: 0
Sun Feb 23 01:40:15 2020  A6: 25
Sun Feb 23 01:40:15 2020  skew 1.00, size 3.468e-12, alpha 0.442, combined = 2.929e-13 rroots = 2
Sun Feb 23 01:40:15 2020  
Sun Feb 23 01:40:15 2020  commencing linear algebra
Sun Feb 23 01:40:16 2020  read 12018241 cycles
Sun Feb 23 01:40:42 2020  cycles contain 39874774 unique relations
Sun Feb 23 01:48:24 2020  read 39874774 relations
Sun Feb 23 01:49:43 2020  using 20 quadratic characters above 4294917295
Sun Feb 23 01:53:15 2020  building initial matrix
Sun Feb 23 02:05:53 2020  memory use: 5175.2 MB
Sun Feb 23 02:06:33 2020  read 12018241 cycles
Sun Feb 23 02:06:34 2020  matrix is 12018064 x 12018241 (5241.7 MB) with weight 1508165405 (125.49/col)
Sun Feb 23 02:06:34 2020  sparse part has weight 1241868423 (103.33/col)
Sun Feb 23 02:08:56 2020  filtering completed in 2 passes
Sun Feb 23 02:08:58 2020  matrix is 12017756 x 12017933 (5241.6 MB) with weight 1508155381 (125.49/col)
Sun Feb 23 02:08:58 2020  sparse part has weight 1241865469 (103.33/col)
Sun Feb 23 02:10:36 2020  matrix starts at (0, 0)
Sun Feb 23 02:10:37 2020  matrix is 12017756 x 12017933 (5241.6 MB) with weight 1508155381 (125.49/col)
Sun Feb 23 02:10:37 2020  sparse part has weight 1241865469 (103.33/col)
Sun Feb 23 02:10:37 2020  saving the first 48 matrix rows for later
Sun Feb 23 02:10:39 2020  matrix includes 64 packed rows
Sun Feb 23 02:10:41 2020  matrix is 12017708 x 12017933 (5025.8 MB) with weight 1282995833 (106.76/col)
Sun Feb 23 02:10:41 2020  sparse part has weight 1197307961 (99.63/col)
Sun Feb 23 02:10:41 2020  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Sun Feb 23 02:11:17 2020  commencing Lanczos iteration
Sun Feb 23 02:11:17 2020  memory use: 4843.3 MB
Sun Feb 23 02:13:36 2020  lanczos halted after 17 iterations (dim = 1078)
Sun Feb 23 02:13:36 2020  BLanczosTime: 2001
Sun Feb 23 02:13:36 2020  elapsed time 00:33:22

Sun Feb 23 02:24:42 2020  Msieve v. 1.52 (SVN exported)
Sun Feb 23 02:24:42 2020  random seeds: aae46e7d 68349037
Sun Feb 23 02:24:42 2020  factoring 2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (247 digits)
Sun Feb 23 02:24:45 2020  searching for 15-digit factors
Sun Feb 23 02:24:48 2020  commencing number field sieve (247-digit input)
Sun Feb 23 02:24:49 2020  R0: -100000000000000000000000000000000000000000
Sun Feb 23 02:24:49 2020  R1: 1
Sun Feb 23 02:24:49 2020  A0: -7
Sun Feb 23 02:24:49 2020  A1: 0
Sun Feb 23 02:24:49 2020  A2: 0
Sun Feb 23 02:24:49 2020  A3: 0
Sun Feb 23 02:24:49 2020  A4: 0
Sun Feb 23 02:24:49 2020  A5: 0
Sun Feb 23 02:24:49 2020  A6: 25
Sun Feb 23 02:24:49 2020  skew 1.00, size 3.468e-12, alpha 0.442, combined = 2.929e-13 rroots = 2
Sun Feb 23 02:24:49 2020  
Sun Feb 23 02:24:49 2020  commencing linear algebra
Sun Feb 23 02:24:49 2020  skipping matrix build
Sun Feb 23 02:26:37 2020  matrix starts at (0, 0)
Sun Feb 23 02:31:49 2020  matrix is 12017756 x 12017933 (5241.6 MB) with weight 1508155381 (125.49/col)
Sun Feb 23 02:31:49 2020  sparse part has weight 1241865469 (103.33/col)
Sun Feb 23 02:31:49 2020  saving the first 48 matrix rows for later
Sun Feb 23 02:32:08 2020  matrix includes 64 packed rows
Sun Feb 23 02:36:27 2020  matrix is 12017708 x 12017933 (5025.8 MB) with weight 1282995833 (106.76/col)
Sun Feb 23 02:36:27 2020  sparse part has weight 1197307961 (99.63/col)
Sun Feb 23 02:36:58 2020  using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
Sun Feb 23 02:46:14 2020  commencing Lanczos iteration (4 threads)
Sun Feb 23 02:46:14 2020  memory use: 4281.8 MB
Sun Feb 23 02:49:34 2020  linear algebra at 0.0%, ETA 310h27m
Sun Feb 23 02:50:21 2020  checkpointing every 40000 dimensions
Thu Mar  5 19:52:46 2020  lanczos halted after 190048 iterations (dim = 12017708)
Thu Mar  5 19:53:15 2020  recovered 35 nontrivial dependencies
Thu Mar  5 19:53:19 2020  BLanczosTime: 1013310
Thu Mar  5 19:53:19 2020  elapsed time 281:28:37

Thu Mar  5 19:57:59 2020  
Thu Mar  5 19:57:59 2020  
Thu Mar  5 19:57:59 2020  Msieve v. 1.54 (SVN 1025)
Thu Mar  5 19:57:59 2020  random seeds: 494e29ea 59f6f3fc
Thu Mar  5 19:57:59 2020  factoring 2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (247 digits)
Thu Mar  5 19:58:00 2020  no P-1/P+1/ECM available, skipping
Thu Mar  5 19:58:00 2020  commencing number field sieve (247-digit input)
Thu Mar  5 19:58:00 2020  R0: -100000000000000000000000000000000000000000
Thu Mar  5 19:58:00 2020  R1: 1
Thu Mar  5 19:58:00 2020  A0: -7
Thu Mar  5 19:58:00 2020  A1: 0
Thu Mar  5 19:58:00 2020  A2: 0
Thu Mar  5 19:58:00 2020  A3: 0
Thu Mar  5 19:58:00 2020  A4: 0
Thu Mar  5 19:58:00 2020  A5: 0
Thu Mar  5 19:58:00 2020  A6: 25
Thu Mar  5 19:58:00 2020  skew 1.00, size 3.468e-12, alpha 0.442, combined = 2.929e-13 rroots = 2
Thu Mar  5 19:58:00 2020  
Thu Mar  5 19:58:00 2020  commencing square root phase
Thu Mar  5 19:58:00 2020  reading relations for dependency 1
Thu Mar  5 19:58:05 2020  read 6008185 cycles
Thu Mar  5 19:58:19 2020  cycles contain 19938280 unique relations
Thu Mar  5 20:04:51 2020  read 19938280 relations
Thu Mar  5 20:06:46 2020  multiplying 19938280 relations
Thu Mar  5 20:23:38 2020  multiply complete, coefficients have about 586.71 million bits
Thu Mar  5 20:23:40 2020  initial square root is modulo 183637
Thu Mar  5 20:41:20 2020  GCD is N, no factor found
Thu Mar  5 20:41:20 2020  reading relations for dependency 2
Thu Mar  5 20:41:24 2020  read 6008893 cycles
Thu Mar  5 20:41:37 2020  cycles contain 19942344 unique relations
Thu Mar  5 20:47:51 2020  read 19942344 relations
Thu Mar  5 20:49:50 2020  multiplying 19942344 relations
Thu Mar  5 21:07:52 2020  multiply complete, coefficients have about 586.83 million bits
Thu Mar  5 21:07:55 2020  initial square root is modulo 184003
Thu Mar  5 21:28:13 2020  GCD is N, no factor found
Thu Mar  5 21:28:13 2020  reading relations for dependency 3
Thu Mar  5 21:28:16 2020  read 6010892 cycles
Thu Mar  5 21:28:32 2020  cycles contain 19941250 unique relations
Thu Mar  5 21:34:55 2020  read 19941250 relations
Thu Mar  5 21:36:52 2020  multiplying 19941250 relations
Thu Mar  5 21:53:34 2020  multiply complete, coefficients have about 586.80 million bits
Thu Mar  5 21:53:36 2020  initial square root is modulo 183943
Thu Mar  5 22:15:23 2020  sqrtTime: 8243
Thu Mar  5 22:15:23 2020  p78 factor: 592604788938303862720774902984502208861751153619497267531492667227020926201343
Thu Mar  5 22:15:23 2020  p169 factor: 4687403526985288114608513592107319142740190323527045136517560558582810205297443518121375120767367187362183972398441124551009604608624841047009973497181034371002388157839
Thu Mar  5 22:15:23 2020  elapsed time 02:17:24

16579940638371114732606717590694897278354625529638189438568920368207735959363320569193625629772387638636145384073284464426730154945179335661447222332582921308700020563682618955392948896863175839778909433457709923551384980661974742889401<236>

2994847144533037861431209223251077526225868099751476314451125029241495151115698649617882146769118881243341411913444532281360586777525685432020544358520263501222249965441722058092340363313197178298665742725345854727103<217>

415616111221341688408977324244801970083634145341535207640965512440417283864458584064498308827733776428853683998497311342902918898022066829853245854014241153271899134965978999521980121672893333<192>

584432061435411537208902725407008754772346884910253414425081198776029119570094359114544675382794627932503008648066462012433636567220047654019937688149263827841302825097092700196403824888918817<192>

193499888013005339405096496377968718414020344046151179736034305313199473965686929860711443999327558506563541317076514106806424610314402553909850198035949546331578461662433433714890116073733911052268292712598593090975949<219>

8289399515899068271494412944726284027985012765675254484565138101395934878477403096919659139891906230312676149739712855200769256275075433535594681521270599157797009184654663616167644815809542756722703007394144368181968898173016346695845352962631386982327<253>

10250617312981309121975270587564615862620717769<47>
808673201115549545407005592532188075672879088099806853234944278864888879581083134589035921057066067331992215843799141185357955341011879485307862979099060888798994428316103190793478119528235001727340522067583<207>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4187447051
Step 1 took 119885ms
Step 2 took 33551ms
********** Factor found in step 2: 10250617312981309121975270587564615862620717769
Found probable prime factor of 47 digits: 10250617312981309121975270587564615862620717769

27416539232608255372153182074435935429716694993227863003305231439046112030290556215320434534435606733259984431857418569357020550915604390335300387925007695710511790231988257463832696490724126942281241606187012899359376825723979<227>

646845157405257429207002158483932060820173484864677419768250682426831047375576230290625373291274873348843704400826708054007577444897363316181004959171865495937556658970871922882404515327779915343347246383516631923400850992614608674125568037<240>

9272852972073491861410734120859<31>

69756865481780321634174179402304393108970290437097245970222361933193565926176200686999497127140965296672933268282004261514256145082785137079453259181778414808694476595065868573594852498532798143824257887322943<209>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3525410108
Step 1 took 35052ms
Step 2 took 14669ms
********** Factor found in step 2: 9272852972073491861410734120859
Found probable prime factor of 31 digits: 9272852972073491861410734120859