57646142510521817443286759486241284170546758189129902044511832378507915037739331833514047485602548650277<104>

370928110190710221387089269564821899936775597679<48>
155410552413737089342118391958512343741743157228736283563<57>

Number: 78777_110
N=57646142510521817443286759486241284170546758189129902044511832378507915037739331833514047485602548650277
  ( 104 digits)
SNFS difficulty: 112 digits.
Divisors found:
 r1=370928110190710221387089269564821899936775597679 (pp48)
 r2=155410552413737089342118391958512343741743157228736283563 (pp57)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.45 hours.
Scaled time: 2.53 units (timescale=1.747).
Factorization parameters were as follows:
n: 57646142510521817443286759486241284170546758189129902044511832378507915037739331833514047485602548650277
m: 10000000000000000000000
c5: 709
c0: -7
skew: 0.40
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 83637 x 83863
Total sieving time: 1.39 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,112.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.45 hours.
 --------- CPU info (if available) ----------

635012702166246595912082532584778926986865561171530867995665136392636267673560003616222687952539641453861707<108>

59771940652476046383305386183393<32>
10623926465066870155432226752160432935821827617888420255908921124720419190699<77>

Number: 78777_114
N=635012702166246595912082532584778926986865561171530867995665136392636267673560003616222687952539641453861707
  ( 108 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=59771940652476046383305386183393 (pp32)
 r2=10623926465066870155432226752160432935821827617888420255908921124720419190699 (pp77)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.74 hours.
Scaled time: 3.62 units (timescale=2.075).
Factorization parameters were as follows:
n: 635012702166246595912082532584778926986865561171530867995665136392636267673560003616222687952539641453861707
m: 100000000000000000000000
c5: 709
c0: -70
skew: 0.63
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 93647 x 93874
Total sieving time: 1.69 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,117.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.74 hours.
 --------- CPU info (if available) ----------

7362409138110072689511941848390446521287642782969885773624091381100726895119418483904465212876427829698857736240913811<118>

668169253748405862459899326324633<33>
145647353085116173685058435089973648283<39>
75653820422945939008126454831307668376437908049<47>

Number: 78777_118
N=7362409138110072689511941848390446521287642782969885773624091381100726895119418483904465212876427829698857736240913811
  ( 118 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=668169253748405862459899326324633 (pp33)
 r2=145647353085116173685058435089973648283 (pp39)
 r3=75653820422945939008126454831307668376437908049 (pp47)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 3.30 hours.
Scaled time: 5.73 units (timescale=1.733).
Factorization parameters were as follows:
n: 7362409138110072689511941848390446521287642782969885773624091381100726895119418483904465212876427829698857736240913811
m: 1000000000000000000000000
c5: 709
c0: -700
skew: 1.00
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 124461 x 124689
Total sieving time: 3.22 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,122.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 3.30 hours.
 --------- CPU info (if available) ----------

10251808131745600992867054131062443518039529203356822685786737714926114592304355208471359198331318064727912397<110>

789125778711506814604059636126683<33>
12991348664955370253858258628831122506732380768522885777247749725016512720759<77>

Input number is 10251808131745600992867054131062443518039529203356822685786737714926114592304355208471359198331318064727912397 (110 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2839887668
Step 1 took 2621ms
Step 2 took 1763ms
********** Factor found in step 2: 789125778711506814604059636126683
Found probable prime factor of 33 digits: 789125778711506814604059636126683
Probable prime cofactor 12991348664955370253858258628831122506732380768522885777247749725016512720759 has 77 digits

GMP-ECM 6.4.4

274745027828098434052615259221535940638887816003112534833967121000852003598070877346233843573852801919424153<108>

179795459068701661887354848883651394135787<42>
1528097701973193785727419084890824855208298510123193363010051956619<67>

Number: 78777_124
N=274745027828098434052615259221535940638887816003112534833967121000852003598070877346233843573852801919424153
  ( 108 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=179795459068701661887354848883651394135787 (pp42)
 r2=1528097701973193785727419084890824855208298510123193363010051956619 (pp67)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.96 hours.
Scaled time: 5.04 units (timescale=1.704).
Factorization parameters were as follows:
n: 274745027828098434052615259221535940638887816003112534833967121000852003598070877346233843573852801919424153
m: 10000000000000000000000000
c5: 709
c0: -70
skew: 0.63
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 107956 x 108181
Total sieving time: 2.89 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,127.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 2.96 hours.
 --------- CPU info (if available) ----------

87823609562739997522606218258392171435649696519261736653041000867087823609562739997522606218258392171435649696519261736653041<125>

26376796415284143938489652175732181<35>
3329578322553615464318549030068552283505089050965793020659169066799717570839192293274790061<91>

Input number is 87823609562739997522606218258392171435649696519261736653041000867087823609562739997522606218258392171435649696519261736653041 (125 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=240791058
Step 1 took 3198ms
Step 2 took 1950ms
********** Factor found in step 2: 26376796415284143938489652175732181
Found probable prime factor of 35 digits: 26376796415284143938489652175732181
Probable prime cofactor 3329578322553615464318549030068552283505089050965793020659169066799717570839192293274790061 has 91 digits

GMP-ECM 6.4.4

43819904111329492615548548350996881461270154815197077908271824355771271787030538249475275262271423122747<104>

61306132420495260111583510746700891748517830124167<50>
714771954798441264604868189964288723650512663140845741<54>

Number: 78777_129
N=43819904111329492615548548350996881461270154815197077908271824355771271787030538249475275262271423122747
  ( 104 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=61306132420495260111583510746700891748517830124167 (pp50)
 r2=714771954798441264604868189964288723650512663140845741 (pp54)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 4.51 hours.
Scaled time: 7.83 units (timescale=1.735).
Factorization parameters were as follows:
n: 43819904111329492615548548350996881461270154815197077908271824355771271787030538249475275262271423122747
m: 100000000000000000000000000
c5: 709
c0: -70
skew: 0.63
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 1200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 126966 x 127191
Total sieving time: 4.43 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,132.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 4.51 hours.
 --------- CPU info (if available) ----------

35554979454562644391015690974091648129809835872347513907826679514802006831360240088082873050554702562011081108024146554997553<125>

3489762195551710699819520647098727016739296046610161631<55>
10188367419385610334416512379444412969031466441412762988511853653210863<71>

Number: 78777_130
N=35554979454562644391015690974091648129809835872347513907826679514802006831360240088082873050554702562011081108024146554997553
  ( 125 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=3489762195551710699819520647098727016739296046610161631 (pp55)
 r2=10188367419385610334416512379444412969031466441412762988511853653210863 (pp71)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 4.08 hours.
Scaled time: 7.06 units (timescale=1.733).
Factorization parameters were as follows:
n: 35554979454562644391015690974091648129809835872347513907826679514802006831360240088082873050554702562011081108024146554997553
m: 100000000000000000000000000
c5: 709
c0: -7
skew: 0.40
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 1150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 125188 x 125413
Total sieving time: 4.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,132.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 4.08 hours.
 --------- CPU info (if available) ----------

24433513807054710152531637695721836472522928474834221710393523967812412369754122000980028583420341110462192824810913378851349844805833<134>

5034159405295582903574095741963824112872075612437<49>
4853543926589286368870148767254536398600132222360446018684694083511555061995638324709<85>

Number: 78777_138
N=24433513807054710152531637695721836472522928474834221710393523967812412369754122000980028583420341110462192824810913378851349844805833
  ( 134 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=5034159405295582903574095741963824112872075612437
 r2=4853543926589286368870148767254536398600132222360446018684694083511555061995638324709
Version: 
Total time: 3.55 hours.
Scaled time: 18.57 units (timescale=5.228).
Factorization parameters were as follows:
n: 24433513807054710152531637695721836472522928474834221710393523967812412369754122000980028583420341110462192824810913378851349844805833
m: 2000000000000000000000000000
deg: 5
c5: 88625
c0: -28
skew: 0.20
# Murphy_E = 1.655e-09
type: snfs
lss: 1
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [900000, 2400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4323813
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 336086 x 336334
Total sieving time: 3.15 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,50000
total time: 3.55 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

7877777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<142>

91807639294662782616107203244827721345041<41>
85807432129841843087325424483705221962661458420326677752386912607500882811633500521746730446397836897<101>

Divisors found:
 r1=91807639294662782616107203244827721345041 (pp41)
 r2=85807432129841843087325424483705221962661458420326677752386912607500882811633500521746730446397836897 (pp101)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 3.50 hours.
Scaled time: 8.40 units (timescale=2.400).
Factorization parameters were as follows:
n: 7877777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
m: 10000000000000000000000000000
deg: 5
c5: 709
c0: -7
skew: 0.40
# Murphy_E = 2.418e-09
type: snfs
lss: 1
rlim: 1680000
alim: 1680000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
# 2877
Factor base limits: 1680000/1680000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [840000, 1940001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 256939 x 257166
Total sieving time: 3.41 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,142.000,5,0,0,0,0,0,0,0,0,1680000,1680000,26,26,48,48,2.3,2.3,100000
total time: 3.50 hours.

21120047661602621388144176347929699136133452487339886803693774203157581173666964551683050342567768841227286267500744712540959189752755436401549<143>

52402253533508960072183181069755078808161<41>
439724572234327711482099636862707688413773704647149<51>
916566953451035639176092520355435802418124340591041<51>

01/14/15 15:50:57 v1.34.3, 
01/14/15 15:50:57 v1.34.3, ****************************
01/14/15 15:50:57 v1.34.3, Starting factorization of 21120047661602621388144176347929699136133452487339886803693774203157581173666964551683050342567768841227286267500744712540959189752755436401549
01/14/15 15:50:57 v1.34.3, using pretesting plan: none
01/14/15 15:50:57 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/14/15 15:50:57 v1.34.3, ****************************
01/14/15 15:50:57 v1.34.3, nfs: commencing nfs on c143: 21120047661602621388144176347929699136133452487339886803693774203157581173666964551683050342567768841227286267500744712540959189752755436401549
01/14/15 15:50:57 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/14/15 15:50:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/14/15 15:54:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
[24 lines snipped]
01/14/15 17:24:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/14/15 17:28:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/14/15 17:31:46 v1.34.3, nfs: commencing msieve filtering
01/14/15 17:32:35 v1.34.3, nfs: commencing msieve linear algebra
01/14/15 17:35:17 v1.34.3, nfs: commencing msieve sqrt
01/14/15 17:38:35 v1.34.3, prp51 = 439724572234327711482099636862707688413773704647149
01/14/15 17:38:35 v1.34.3, prp51 = 916566953451035639176092520355435802418124340591041
01/14/15 17:38:35 v1.34.3, prp41 = 52402253533508960072183181069755078808161
01/14/15 17:38:35 v1.34.3, NFS elapsed time = 6457.5571 seconds.
01/14/15 17:38:35 v1.34.3, 
01/14/15 17:38:35 v1.34.3, 
01/14/15 17:38:35 v1.34.3, Total factoring time = 6457.5576 seconds
--
Wed Jan 14 17:31:46 2015  
Wed Jan 14 17:31:46 2015  commencing relation filtering
Wed Jan 14 17:31:46 2015  estimated available RAM is 15987.3 MB
Wed Jan 14 17:31:46 2015  commencing duplicate removal, pass 1
Wed Jan 14 17:31:58 2015  found 644751 hash collisions in 4587080 relations
Wed Jan 14 17:32:02 2015  added 184110 free relations
Wed Jan 14 17:32:02 2015  commencing duplicate removal, pass 2
Wed Jan 14 17:32:05 2015  found 476509 duplicates and 4294681 unique relations
Wed Jan 14 17:32:05 2015  memory use: 20.6 MB
Wed Jan 14 17:32:05 2015  reading ideals above 100000
Wed Jan 14 17:32:05 2015  commencing singleton removal, initial pass
Wed Jan 14 17:32:23 2015  memory use: 94.1 MB
Wed Jan 14 17:32:23 2015  reading all ideals from disk
Wed Jan 14 17:32:23 2015  memory use: 144.2 MB
Wed Jan 14 17:32:24 2015  keeping 4762882 ideals with weight <= 200, target excess is 24108
Wed Jan 14 17:32:24 2015  commencing in-memory singleton removal
Wed Jan 14 17:32:24 2015  begin with 4294681 relations and 4762882 unique ideals
Wed Jan 14 17:32:25 2015  reduce to 1763575 relations and 1596313 ideals in 12 passes
Wed Jan 14 17:32:25 2015  max relations containing the same ideal: 110
Wed Jan 14 17:32:25 2015  removing 343798 relations and 274150 ideals in 69648 cliques
Wed Jan 14 17:32:25 2015  commencing in-memory singleton removal
Wed Jan 14 17:32:25 2015  begin with 1419777 relations and 1596313 unique ideals
Wed Jan 14 17:32:25 2015  reduce to 1367965 relations and 1267867 ideals in 8 passes
Wed Jan 14 17:32:25 2015  max relations containing the same ideal: 90
Wed Jan 14 17:32:26 2015  removing 276178 relations and 206530 ideals in 69648 cliques
Wed Jan 14 17:32:26 2015  commencing in-memory singleton removal
Wed Jan 14 17:32:26 2015  begin with 1091787 relations and 1267867 unique ideals
Wed Jan 14 17:32:26 2015  reduce to 1049738 relations and 1017200 ideals in 10 passes
Wed Jan 14 17:32:26 2015  max relations containing the same ideal: 75
Wed Jan 14 17:32:26 2015  relations with 0 large ideals: 513
Wed Jan 14 17:32:26 2015  relations with 1 large ideals: 175
Wed Jan 14 17:32:26 2015  relations with 2 large ideals: 1738
Wed Jan 14 17:32:26 2015  relations with 3 large ideals: 14864
Wed Jan 14 17:32:26 2015  relations with 4 large ideals: 69785
Wed Jan 14 17:32:26 2015  relations with 5 large ideals: 183994
Wed Jan 14 17:32:26 2015  relations with 6 large ideals: 300703
Wed Jan 14 17:32:26 2015  relations with 7+ large ideals: 477966
Wed Jan 14 17:32:26 2015  commencing 2-way merge
Wed Jan 14 17:32:27 2015  reduce to 643109 relation sets and 610571 unique ideals
Wed Jan 14 17:32:27 2015  commencing full merge
Wed Jan 14 17:32:33 2015  memory use: 82.0 MB
Wed Jan 14 17:32:33 2015  found 322484 cycles, need 314771
Wed Jan 14 17:32:33 2015  weight of 314771 cycles is about 22368203 (71.06/cycle)
Wed Jan 14 17:32:33 2015  distribution of cycle lengths:
Wed Jan 14 17:32:33 2015  1 relations: 29675
Wed Jan 14 17:32:33 2015  2 relations: 31106
Wed Jan 14 17:32:33 2015  3 relations: 32512
Wed Jan 14 17:32:33 2015  4 relations: 31444
Wed Jan 14 17:32:33 2015  5 relations: 30538
Wed Jan 14 17:32:33 2015  6 relations: 27946
Wed Jan 14 17:32:33 2015  7 relations: 25121
Wed Jan 14 17:32:33 2015  8 relations: 21748
Wed Jan 14 17:32:33 2015  9 relations: 18583
Wed Jan 14 17:32:33 2015  10+ relations: 66098
Wed Jan 14 17:32:33 2015  heaviest cycle: 21 relations
Wed Jan 14 17:32:33 2015  commencing cycle optimization
Wed Jan 14 17:32:33 2015  start with 1975734 relations
Wed Jan 14 17:32:35 2015  pruned 57985 relations
Wed Jan 14 17:32:35 2015  memory use: 62.3 MB
Wed Jan 14 17:32:35 2015  distribution of cycle lengths:
Wed Jan 14 17:32:35 2015  1 relations: 29675
Wed Jan 14 17:32:35 2015  2 relations: 31756
Wed Jan 14 17:32:35 2015  3 relations: 33727
Wed Jan 14 17:32:35 2015  4 relations: 32455
Wed Jan 14 17:32:35 2015  5 relations: 31498
Wed Jan 14 17:32:35 2015  6 relations: 28910
Wed Jan 14 17:32:35 2015  7 relations: 25656
Wed Jan 14 17:32:35 2015  8 relations: 22172
Wed Jan 14 17:32:35 2015  9 relations: 18552
Wed Jan 14 17:32:35 2015  10+ relations: 60370
Wed Jan 14 17:32:35 2015  heaviest cycle: 21 relations
Wed Jan 14 17:32:35 2015  RelProcTime: 49
Wed Jan 14 17:32:35 2015  
Wed Jan 14 17:32:35 2015  commencing linear algebra
Wed Jan 14 17:32:35 2015  read 314771 cycles
Wed Jan 14 17:32:36 2015  cycles contain 1005538 unique relations
Wed Jan 14 17:32:41 2015  read 1005538 relations
Wed Jan 14 17:32:41 2015  using 20 quadratic characters above 67108184
Wed Jan 14 17:32:44 2015  building initial matrix
Wed Jan 14 17:32:49 2015  memory use: 120.8 MB
Wed Jan 14 17:32:49 2015  read 314771 cycles
Wed Jan 14 17:32:49 2015  matrix is 314594 x 314771 (94.5 MB) with weight 28085104 (89.22/col)
Wed Jan 14 17:32:49 2015  sparse part has weight 21321604 (67.74/col)
Wed Jan 14 17:32:50 2015  filtering completed in 2 passes
Wed Jan 14 17:32:50 2015  matrix is 314379 x 314556 (94.5 MB) with weight 28075423 (89.25/col)
Wed Jan 14 17:32:50 2015  sparse part has weight 21316612 (67.77/col)
Wed Jan 14 17:32:51 2015  matrix starts at (0, 0)
Wed Jan 14 17:32:51 2015  matrix is 314379 x 314556 (94.5 MB) with weight 28075423 (89.25/col)
Wed Jan 14 17:32:51 2015  sparse part has weight 21316612 (67.77/col)
Wed Jan 14 17:32:51 2015  saving the first 48 matrix rows for later
Wed Jan 14 17:32:51 2015  matrix includes 64 packed rows
Wed Jan 14 17:32:51 2015  matrix is 314331 x 314556 (88.9 MB) with weight 22127214 (70.34/col)
Wed Jan 14 17:32:51 2015  sparse part has weight 20158989 (64.09/col)
Wed Jan 14 17:32:51 2015  using block size 65536 for processor cache size 8192 kB
Wed Jan 14 17:32:51 2015  commencing Lanczos iteration (8 threads)
Wed Jan 14 17:32:51 2015  memory use: 85.8 MB
Wed Jan 14 17:32:57 2015  linear algebra at 3.9%, ETA 0h 2m
Wed Jan 14 17:35:17 2015  lanczos halted after 4972 iterations (dim = 314330)
Wed Jan 14 17:35:17 2015  recovered 37 nontrivial dependencies
Wed Jan 14 17:35:17 2015  BLanczosTime: 162
Wed Jan 14 17:35:17 2015  
Wed Jan 14 17:35:17 2015  commencing square root phase
Wed Jan 14 17:35:17 2015  reading relations for dependency 1
Wed Jan 14 17:35:17 2015  read 157054 cycles
Wed Jan 14 17:35:17 2015  cycles contain 501738 unique relations
Wed Jan 14 17:35:21 2015  read 501738 relations
Wed Jan 14 17:35:22 2015  multiplying 501738 relations
Wed Jan 14 17:35:34 2015  multiply complete, coefficients have about 19.43 million bits
Wed Jan 14 17:35:34 2015  initial square root is modulo 381181
Wed Jan 14 17:35:49 2015  GCD is N, no factor found
Wed Jan 14 17:35:49 2015  reading relations for dependency 2
Wed Jan 14 17:35:49 2015  read 157441 cycles
Wed Jan 14 17:35:49 2015  cycles contain 503532 unique relations
Wed Jan 14 17:35:53 2015  read 503532 relations
Wed Jan 14 17:35:54 2015  multiplying 503532 relations
Wed Jan 14 17:36:08 2015  multiply complete, coefficients have about 19.50 million bits
Wed Jan 14 17:36:08 2015  initial square root is modulo 399101
Wed Jan 14 17:36:23 2015  found factor: 439724572234327711482099636862707688413773704647149
Wed Jan 14 17:36:23 2015  reading relations for dependency 3
Wed Jan 14 17:36:23 2015  read 156602 cycles
Wed Jan 14 17:36:23 2015  cycles contain 501590 unique relations
Wed Jan 14 17:36:27 2015  read 501590 relations
Wed Jan 14 17:36:28 2015  multiplying 501590 relations
Wed Jan 14 17:36:40 2015  multiply complete, coefficients have about 19.42 million bits
Wed Jan 14 17:36:40 2015  initial square root is modulo 379751
Wed Jan 14 17:36:55 2015  found factor: 439724572234327711482099636862707688413773704647149
Wed Jan 14 17:36:55 2015  reading relations for dependency 4
Wed Jan 14 17:36:55 2015  read 157503 cycles
Wed Jan 14 17:36:55 2015  cycles contain 502440 unique relations
Wed Jan 14 17:37:00 2015  read 502440 relations
Wed Jan 14 17:37:01 2015  multiplying 502440 relations
Wed Jan 14 17:37:13 2015  multiply complete, coefficients have about 19.46 million bits
Wed Jan 14 17:37:13 2015  initial square root is modulo 388481
Wed Jan 14 17:37:29 2015  found factor: 439724572234327711482099636862707688413773704647149
Wed Jan 14 17:37:29 2015  reading relations for dependency 5
Wed Jan 14 17:37:29 2015  read 156667 cycles
Wed Jan 14 17:37:29 2015  cycles contain 501994 unique relations
Wed Jan 14 17:37:33 2015  read 501994 relations
Wed Jan 14 17:37:34 2015  multiplying 501994 relations
Wed Jan 14 17:37:45 2015  multiply complete, coefficients have about 19.44 million bits
Wed Jan 14 17:37:45 2015  initial square root is modulo 383891
Wed Jan 14 17:38:03 2015  GCD is N, no factor found
Wed Jan 14 17:38:03 2015  reading relations for dependency 6
Wed Jan 14 17:38:03 2015  read 157480 cycles
Wed Jan 14 17:38:03 2015  cycles contain 503920 unique relations
Wed Jan 14 17:38:07 2015  read 503920 relations
Wed Jan 14 17:38:08 2015  multiplying 503920 relations
Wed Jan 14 17:38:19 2015  multiply complete, coefficients have about 19.52 million bits
Wed Jan 14 17:38:19 2015  initial square root is modulo 403241
Wed Jan 14 17:38:35 2015  sqrtTime: 198
--
n: 21120047661602621388144176347929699136133452487339886803693774203157581173666964551683050342567768841227286267500744712540959189752755436401549
m: 10000000000000000000000000000
deg: 5
c5: 709000
c0: -7
skew: 0.10
# Murphy_E = 1.08e-09
type: snfs
lss: 1
rlim: 1890000
alim: 1890000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3

yafu v1.34.3

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

246385422647628276568623436684619273599304163974641381359817862184726615822072518078009901908271358453731047901366014852422075628601880367<138>

565841007838778632050799474971208166082636078887530528657<57>
435432249049417180823287810455777980329416790002190195694551322724013554205156031<81>

01/15/15 12:24:20 v1.34.3, 
01/15/15 12:24:20 v1.34.3, ****************************
01/15/15 12:24:20 v1.34.3, Starting factorization of 246385422647628276568623436684619273599304163974641381359817862184726615822072518078009901908271358453731047901366014852422075628601880367
01/15/15 12:24:20 v1.34.3, using pretesting plan: none
01/15/15 12:24:20 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/15/15 12:24:20 v1.34.3, ****************************
01/15/15 12:24:20 v1.34.3, nfs: commencing nfs on c138: 246385422647628276568623436684619273599304163974641381359817862184726615822072518078009901908271358453731047901366014852422075628601880367
01/15/15 12:24:20 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/15/15 12:24:20 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 12:25:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
[50 lines snipped]
01/15/15 13:22:04 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 13:23:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 13:24:17 v1.34.3, nfs: commencing msieve filtering
01/15/15 13:25:07 v1.34.3, nfs: commencing msieve linear algebra
01/15/15 13:28:15 v1.34.3, nfs: commencing msieve sqrt
01/15/15 13:28:40 v1.34.3, prp81 = 435432249049417180823287810455777980329416790002190195694551322724013554205156031
01/15/15 13:28:40 v1.34.3, prp57 = 565841007838778632050799474971208166082636078887530528657
01/15/15 13:28:40 v1.34.3, NFS elapsed time = 3860.4968 seconds.
01/15/15 13:28:40 v1.34.3, 
01/15/15 13:28:40 v1.34.3, 
01/15/15 13:28:40 v1.34.3, Total factoring time = 3860.4975 seconds
--
Thu Jan 15 13:24:17 2015  
Thu Jan 15 13:24:17 2015  commencing relation filtering
Thu Jan 15 13:24:17 2015  estimated available RAM is 15987.3 MB
Thu Jan 15 13:24:17 2015  commencing duplicate removal, pass 1
Thu Jan 15 13:24:29 2015  found 685818 hash collisions in 4524035 relations
Thu Jan 15 13:24:33 2015  added 183448 free relations
Thu Jan 15 13:24:33 2015  commencing duplicate removal, pass 2
Thu Jan 15 13:24:37 2015  found 539647 duplicates and 4167836 unique relations
Thu Jan 15 13:24:37 2015  memory use: 20.6 MB
Thu Jan 15 13:24:37 2015  reading ideals above 100000
Thu Jan 15 13:24:37 2015  commencing singleton removal, initial pass
Thu Jan 15 13:24:54 2015  memory use: 94.1 MB
Thu Jan 15 13:24:54 2015  reading all ideals from disk
Thu Jan 15 13:24:54 2015  memory use: 136.2 MB
Thu Jan 15 13:24:55 2015  keeping 4753595 ideals with weight <= 200, target excess is 21755
Thu Jan 15 13:24:55 2015  commencing in-memory singleton removal
Thu Jan 15 13:24:55 2015  begin with 4167836 relations and 4753595 unique ideals
Thu Jan 15 13:24:56 2015  reduce to 1564802 relations and 1476698 ideals in 15 passes
Thu Jan 15 13:24:56 2015  max relations containing the same ideal: 100
Thu Jan 15 13:24:56 2015  removing 218589 relations and 187155 ideals in 31434 cliques
Thu Jan 15 13:24:56 2015  commencing in-memory singleton removal
Thu Jan 15 13:24:56 2015  begin with 1346213 relations and 1476698 unique ideals
Thu Jan 15 13:24:56 2015  reduce to 1322110 relations and 1264783 ideals in 9 passes
Thu Jan 15 13:24:56 2015  max relations containing the same ideal: 89
Thu Jan 15 13:24:57 2015  removing 166819 relations and 135385 ideals in 31434 cliques
Thu Jan 15 13:24:57 2015  commencing in-memory singleton removal
Thu Jan 15 13:24:57 2015  begin with 1155291 relations and 1264783 unique ideals
Thu Jan 15 13:24:57 2015  reduce to 1139039 relations and 1112780 ideals in 9 passes
Thu Jan 15 13:24:57 2015  max relations containing the same ideal: 82
Thu Jan 15 13:24:57 2015  relations with 0 large ideals: 508
Thu Jan 15 13:24:57 2015  relations with 1 large ideals: 137
Thu Jan 15 13:24:57 2015  relations with 2 large ideals: 1900
Thu Jan 15 13:24:57 2015  relations with 3 large ideals: 16865
Thu Jan 15 13:24:57 2015  relations with 4 large ideals: 78009
Thu Jan 15 13:24:57 2015  relations with 5 large ideals: 207295
Thu Jan 15 13:24:57 2015  relations with 6 large ideals: 334959
Thu Jan 15 13:24:57 2015  relations with 7+ large ideals: 499366
Thu Jan 15 13:24:57 2015  commencing 2-way merge
Thu Jan 15 13:24:58 2015  reduce to 688679 relation sets and 662420 unique ideals
Thu Jan 15 13:24:58 2015  commencing full merge
Thu Jan 15 13:25:05 2015  memory use: 86.9 MB
Thu Jan 15 13:25:05 2015  found 344240 cycles, need 340620
Thu Jan 15 13:25:05 2015  weight of 340620 cycles is about 24123772 (70.82/cycle)
Thu Jan 15 13:25:05 2015  distribution of cycle lengths:
Thu Jan 15 13:25:05 2015  1 relations: 35106
Thu Jan 15 13:25:05 2015  2 relations: 36105
Thu Jan 15 13:25:05 2015  3 relations: 35836
Thu Jan 15 13:25:05 2015  4 relations: 33223
Thu Jan 15 13:25:05 2015  5 relations: 30619
Thu Jan 15 13:25:05 2015  6 relations: 27368
Thu Jan 15 13:25:05 2015  7 relations: 24187
Thu Jan 15 13:25:05 2015  8 relations: 20922
Thu Jan 15 13:25:05 2015  9 relations: 18503
Thu Jan 15 13:25:05 2015  10+ relations: 78751
Thu Jan 15 13:25:05 2015  heaviest cycle: 24 relations
Thu Jan 15 13:25:05 2015  commencing cycle optimization
Thu Jan 15 13:25:05 2015  start with 2206115 relations
Thu Jan 15 13:25:07 2015  pruned 60424 relations
Thu Jan 15 13:25:07 2015  memory use: 68.9 MB
Thu Jan 15 13:25:07 2015  distribution of cycle lengths:
Thu Jan 15 13:25:07 2015  1 relations: 35106
Thu Jan 15 13:25:07 2015  2 relations: 36811
Thu Jan 15 13:25:07 2015  3 relations: 36932
Thu Jan 15 13:25:07 2015  4 relations: 34276
Thu Jan 15 13:25:07 2015  5 relations: 31418
Thu Jan 15 13:25:07 2015  6 relations: 28003
Thu Jan 15 13:25:07 2015  7 relations: 24545
Thu Jan 15 13:25:07 2015  8 relations: 21167
Thu Jan 15 13:25:07 2015  9 relations: 18572
Thu Jan 15 13:25:07 2015  10+ relations: 73790
Thu Jan 15 13:25:07 2015  heaviest cycle: 24 relations
Thu Jan 15 13:25:07 2015  RelProcTime: 50
Thu Jan 15 13:25:07 2015  
Thu Jan 15 13:25:07 2015  commencing linear algebra
Thu Jan 15 13:25:08 2015  read 340620 cycles
Thu Jan 15 13:25:08 2015  cycles contain 1112382 unique relations
Thu Jan 15 13:25:13 2015  read 1112382 relations
Thu Jan 15 13:25:13 2015  using 20 quadratic characters above 67108208
Thu Jan 15 13:25:17 2015  building initial matrix
Thu Jan 15 13:25:22 2015  memory use: 135.8 MB
Thu Jan 15 13:25:22 2015  read 340620 cycles
Thu Jan 15 13:25:22 2015  matrix is 340472 x 340620 (102.1 MB) with weight 30666131 (90.03/col)
Thu Jan 15 13:25:22 2015  sparse part has weight 23027308 (67.60/col)
Thu Jan 15 13:25:24 2015  filtering completed in 2 passes
Thu Jan 15 13:25:24 2015  matrix is 340279 x 340446 (102.1 MB) with weight 30658604 (90.05/col)
Thu Jan 15 13:25:24 2015  sparse part has weight 23024039 (67.63/col)
Thu Jan 15 13:25:24 2015  matrix starts at (0, 0)
Thu Jan 15 13:25:24 2015  matrix is 340279 x 340446 (102.1 MB) with weight 30658604 (90.05/col)
Thu Jan 15 13:25:24 2015  sparse part has weight 23024039 (67.63/col)
Thu Jan 15 13:25:24 2015  saving the first 48 matrix rows for later
Thu Jan 15 13:25:24 2015  matrix includes 64 packed rows
Thu Jan 15 13:25:24 2015  matrix is 340231 x 340446 (96.5 MB) with weight 24224030 (71.15/col)
Thu Jan 15 13:25:24 2015  sparse part has weight 21896468 (64.32/col)
Thu Jan 15 13:25:24 2015  using block size 65536 for processor cache size 8192 kB
Thu Jan 15 13:25:25 2015  commencing Lanczos iteration (8 threads)
Thu Jan 15 13:25:25 2015  memory use: 92.7 MB
Thu Jan 15 13:25:31 2015  linear algebra at 3.6%, ETA 0h 2m
Thu Jan 15 13:28:15 2015  lanczos halted after 5380 iterations (dim = 340223)
Thu Jan 15 13:28:15 2015  recovered 32 nontrivial dependencies
Thu Jan 15 13:28:15 2015  BLanczosTime: 188
Thu Jan 15 13:28:15 2015  
Thu Jan 15 13:28:15 2015  commencing square root phase
Thu Jan 15 13:28:15 2015  reading relations for dependency 1
Thu Jan 15 13:28:15 2015  read 170824 cycles
Thu Jan 15 13:28:16 2015  cycles contain 556696 unique relations
Thu Jan 15 13:28:19 2015  read 556696 relations
Thu Jan 15 13:28:20 2015  multiplying 556696 relations
Thu Jan 15 13:28:29 2015  multiply complete, coefficients have about 16.12 million bits
Thu Jan 15 13:28:29 2015  initial square root is modulo 1837049581
Thu Jan 15 13:28:40 2015  sqrtTime: 25
--
n: 246385422647628276568623436684619273599304163974641381359817862184726615822072518078009901908271358453731047901366014852422075628601880367
m: 100000000000000000000000000000
deg: 5
c5: 709
c0: -7
skew: 0.40
# Murphy_E = 1.572e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3

yafu v1.34.3

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

123869974736562408660361461124645500565877622172929878188236104573977404935638221651086850907598511637895752465717729012117677781<129>

1497480545071393652528260227082516764229914940936707584653<58>
82718920886318962337564764579354652854646247230339194390752916767561577<71>

01/17/15 01:54:12 v1.34.3, 
01/17/15 01:54:12 v1.34.3, ****************************
01/17/15 01:54:12 v1.34.3, Starting factorization of 123869974736562408660361461124645500565877622172929878188236104573977404935638221651086850907598511637895752465717729012117677781
01/17/15 01:54:12 v1.34.3, using pretesting plan: none
01/17/15 01:54:12 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/17/15 01:54:12 v1.34.3, ****************************
01/17/15 01:54:12 v1.34.3, nfs: commencing nfs on c129: 123869974736562408660361461124645500565877622172929878188236104573977404935638221651086850907598511637895752465717729012117677781
01/17/15 01:54:12 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/17/15 01:54:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 01:54:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
[99 lines snipped]
01/17/15 03:13:37 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 03:14:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 03:15:11 v1.34.3, nfs: commencing msieve filtering
01/17/15 03:15:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 03:16:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
[2 lines snipped]
01/17/15 03:18:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 03:19:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 03:20:30 v1.34.3, nfs: commencing msieve filtering
01/17/15 03:21:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 03:21:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
[3 lines snipped]
01/17/15 03:25:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 03:25:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 03:26:37 v1.34.3, nfs: commencing msieve filtering
01/17/15 03:27:34 v1.34.3, nfs: commencing msieve linear algebra
01/17/15 03:31:42 v1.34.3, nfs: commencing msieve sqrt
01/17/15 03:32:16 v1.34.3, prp71 = 82718920886318962337564764579354652854646247230339194390752916767561577
01/17/15 03:32:16 v1.34.3, prp58 = 1497480545071393652528260227082516764229914940936707584653
01/17/15 03:32:16 v1.34.3, NFS elapsed time = 5883.6242 seconds.
01/17/15 03:32:16 v1.34.3, 
01/17/15 03:32:16 v1.34.3, 
01/17/15 03:32:16 v1.34.3, Total factoring time = 5883.6248 seconds
--
Sat Jan 17 03:15:11 2015  
Sat Jan 17 03:15:11 2015  commencing relation filtering
Sat Jan 17 03:15:11 2015  estimated available RAM is 15987.3 MB
Sat Jan 17 03:15:11 2015  commencing duplicate removal, pass 1
Sat Jan 17 03:15:22 2015  found 737923 hash collisions in 4471383 relations
Sat Jan 17 03:15:27 2015  added 184361 free relations
Sat Jan 17 03:15:27 2015  commencing duplicate removal, pass 2
Sat Jan 17 03:15:31 2015  found 619660 duplicates and 4036084 unique relations
Sat Jan 17 03:15:31 2015  memory use: 20.6 MB
Sat Jan 17 03:15:31 2015  reading ideals above 100000
Sat Jan 17 03:15:31 2015  commencing singleton removal, initial pass
Sat Jan 17 03:15:47 2015  memory use: 94.1 MB
Sat Jan 17 03:15:47 2015  reading all ideals from disk
Sat Jan 17 03:15:47 2015  memory use: 133.7 MB
Sat Jan 17 03:15:48 2015  keeping 4787838 ideals with weight <= 200, target excess is 21387
Sat Jan 17 03:15:48 2015  commencing in-memory singleton removal
Sat Jan 17 03:15:48 2015  begin with 4036084 relations and 4787838 unique ideals
Sat Jan 17 03:15:49 2015  reduce to 1315606 relations and 1350434 ideals in 16 passes
Sat Jan 17 03:15:49 2015  max relations containing the same ideal: 94
Sat Jan 17 03:20:30 2015  
Sat Jan 17 03:20:30 2015  commencing relation filtering
Sat Jan 17 03:20:30 2015  estimated available RAM is 15987.3 MB
Sat Jan 17 03:20:30 2015  commencing duplicate removal, pass 1
Sat Jan 17 03:20:44 2015  found 816066 hash collisions in 4890759 relations
Sat Jan 17 03:20:48 2015  added 1284 free relations
Sat Jan 17 03:20:48 2015  commencing duplicate removal, pass 2
Sat Jan 17 03:20:51 2015  found 672349 duplicates and 4219694 unique relations
Sat Jan 17 03:20:51 2015  memory use: 20.6 MB
Sat Jan 17 03:20:51 2015  reading ideals above 100000
Sat Jan 17 03:20:51 2015  commencing singleton removal, initial pass
Sat Jan 17 03:21:09 2015  memory use: 94.1 MB
Sat Jan 17 03:21:09 2015  reading all ideals from disk
Sat Jan 17 03:21:09 2015  memory use: 139.8 MB
Sat Jan 17 03:21:09 2015  keeping 4879515 ideals with weight <= 200, target excess is 22319
Sat Jan 17 03:21:09 2015  commencing in-memory singleton removal
Sat Jan 17 03:21:09 2015  begin with 4219694 relations and 4879515 unique ideals
Sat Jan 17 03:21:11 2015  reduce to 1523483 relations and 1498161 ideals in 18 passes
Sat Jan 17 03:21:11 2015  max relations containing the same ideal: 98
Sat Jan 17 03:26:37 2015  
Sat Jan 17 03:26:37 2015  commencing relation filtering
Sat Jan 17 03:26:37 2015  estimated available RAM is 15987.3 MB
Sat Jan 17 03:26:37 2015  commencing duplicate removal, pass 1
Sat Jan 17 03:26:52 2015  found 887209 hash collisions in 5157616 relations
Sat Jan 17 03:26:56 2015  added 1254 free relations
Sat Jan 17 03:26:56 2015  commencing duplicate removal, pass 2
Sat Jan 17 03:26:59 2015  found 732983 duplicates and 4425887 unique relations
Sat Jan 17 03:26:59 2015  memory use: 22.6 MB
Sat Jan 17 03:26:59 2015  reading ideals above 100000
Sat Jan 17 03:26:59 2015  commencing singleton removal, initial pass
Sat Jan 17 03:27:17 2015  memory use: 94.1 MB
Sat Jan 17 03:27:18 2015  reading all ideals from disk
Sat Jan 17 03:27:18 2015  memory use: 146.7 MB
Sat Jan 17 03:27:18 2015  keeping 4977264 ideals with weight <= 200, target excess is 23449
Sat Jan 17 03:27:18 2015  commencing in-memory singleton removal
Sat Jan 17 03:27:18 2015  begin with 4425887 relations and 4977264 unique ideals
Sat Jan 17 03:27:19 2015  reduce to 1755425 relations and 1654837 ideals in 14 passes
Sat Jan 17 03:27:19 2015  max relations containing the same ideal: 109
Sat Jan 17 03:27:20 2015  removing 245460 relations and 208766 ideals in 36694 cliques
Sat Jan 17 03:27:20 2015  commencing in-memory singleton removal
Sat Jan 17 03:27:20 2015  begin with 1509965 relations and 1654837 unique ideals
Sat Jan 17 03:27:20 2015  reduce to 1483864 relations and 1419269 ideals in 8 passes
Sat Jan 17 03:27:20 2015  max relations containing the same ideal: 95
Sat Jan 17 03:27:20 2015  removing 186989 relations and 150295 ideals in 36694 cliques
Sat Jan 17 03:27:20 2015  commencing in-memory singleton removal
Sat Jan 17 03:27:21 2015  begin with 1296875 relations and 1419269 unique ideals
Sat Jan 17 03:27:21 2015  reduce to 1279812 relations and 1251484 ideals in 9 passes
Sat Jan 17 03:27:21 2015  max relations containing the same ideal: 86
Sat Jan 17 03:27:21 2015  relations with 0 large ideals: 544
Sat Jan 17 03:27:21 2015  relations with 1 large ideals: 143
Sat Jan 17 03:27:21 2015  relations with 2 large ideals: 2047
Sat Jan 17 03:27:21 2015  relations with 3 large ideals: 18083
Sat Jan 17 03:27:21 2015  relations with 4 large ideals: 83389
Sat Jan 17 03:27:21 2015  relations with 5 large ideals: 225775
Sat Jan 17 03:27:21 2015  relations with 6 large ideals: 371671
Sat Jan 17 03:27:21 2015  relations with 7+ large ideals: 578160
Sat Jan 17 03:27:21 2015  commencing 2-way merge
Sat Jan 17 03:27:22 2015  reduce to 787758 relation sets and 759430 unique ideals
Sat Jan 17 03:27:22 2015  commencing full merge
Sat Jan 17 03:27:30 2015  memory use: 99.1 MB
Sat Jan 17 03:27:30 2015  found 399753 cycles, need 395630
Sat Jan 17 03:27:30 2015  weight of 395630 cycles is about 27975862 (70.71/cycle)
Sat Jan 17 03:27:30 2015  distribution of cycle lengths:
Sat Jan 17 03:27:30 2015  1 relations: 36655
Sat Jan 17 03:27:30 2015  2 relations: 42727
Sat Jan 17 03:27:30 2015  3 relations: 43760
Sat Jan 17 03:27:30 2015  4 relations: 40343
Sat Jan 17 03:27:30 2015  5 relations: 37292
Sat Jan 17 03:27:30 2015  6 relations: 33051
Sat Jan 17 03:27:30 2015  7 relations: 28871
Sat Jan 17 03:27:30 2015  8 relations: 25337
Sat Jan 17 03:27:30 2015  9 relations: 21792
Sat Jan 17 03:27:30 2015  10+ relations: 85802
Sat Jan 17 03:27:30 2015  heaviest cycle: 24 relations
Sat Jan 17 03:27:30 2015  commencing cycle optimization
Sat Jan 17 03:27:31 2015  start with 2511776 relations
Sat Jan 17 03:27:33 2015  pruned 70014 relations
Sat Jan 17 03:27:33 2015  memory use: 78.2 MB
Sat Jan 17 03:27:33 2015  distribution of cycle lengths:
Sat Jan 17 03:27:33 2015  1 relations: 36655
Sat Jan 17 03:27:33 2015  2 relations: 43572
Sat Jan 17 03:27:33 2015  3 relations: 45289
Sat Jan 17 03:27:33 2015  4 relations: 41405
Sat Jan 17 03:27:33 2015  5 relations: 38563
Sat Jan 17 03:27:33 2015  6 relations: 33670
Sat Jan 17 03:27:33 2015  7 relations: 29447
Sat Jan 17 03:27:33 2015  8 relations: 25498
Sat Jan 17 03:27:33 2015  9 relations: 21691
Sat Jan 17 03:27:33 2015  10+ relations: 79840
Sat Jan 17 03:27:33 2015  heaviest cycle: 23 relations
Sat Jan 17 03:27:34 2015  RelProcTime: 57
Sat Jan 17 03:27:34 2015  
Sat Jan 17 03:27:34 2015  commencing linear algebra
Sat Jan 17 03:27:34 2015  read 395630 cycles
Sat Jan 17 03:27:34 2015  cycles contain 1252343 unique relations
Sat Jan 17 03:27:39 2015  read 1252343 relations
Sat Jan 17 03:27:40 2015  using 20 quadratic characters above 67107290
Sat Jan 17 03:27:44 2015  building initial matrix
Sat Jan 17 03:27:50 2015  memory use: 152.7 MB
Sat Jan 17 03:27:50 2015  read 395630 cycles
Sat Jan 17 03:27:51 2015  matrix is 395463 x 395630 (118.9 MB) with weight 35278932 (89.17/col)
Sat Jan 17 03:27:51 2015  sparse part has weight 26815095 (67.78/col)
Sat Jan 17 03:27:52 2015  filtering completed in 2 passes
Sat Jan 17 03:27:52 2015  matrix is 395342 x 395513 (118.9 MB) with weight 35273854 (89.19/col)
Sat Jan 17 03:27:52 2015  sparse part has weight 26812683 (67.79/col)
Sat Jan 17 03:27:53 2015  matrix starts at (0, 0)
Sat Jan 17 03:27:53 2015  matrix is 395342 x 395513 (118.9 MB) with weight 35273854 (89.19/col)
Sat Jan 17 03:27:53 2015  sparse part has weight 26812683 (67.79/col)
Sat Jan 17 03:27:53 2015  saving the first 48 matrix rows for later
Sat Jan 17 03:27:53 2015  matrix includes 64 packed rows
Sat Jan 17 03:27:53 2015  matrix is 395294 x 395513 (111.6 MB) with weight 27822036 (70.34/col)
Sat Jan 17 03:27:53 2015  sparse part has weight 25300153 (63.97/col)
Sat Jan 17 03:27:53 2015  using block size 65536 for processor cache size 8192 kB
Sat Jan 17 03:27:54 2015  commencing Lanczos iteration (8 threads)
Sat Jan 17 03:27:54 2015  memory use: 107.5 MB
Sat Jan 17 03:28:01 2015  linear algebra at 3.1%, ETA 0h 3m
Sat Jan 17 03:31:42 2015  lanczos halted after 6253 iterations (dim = 395289)
Sat Jan 17 03:31:42 2015  recovered 36 nontrivial dependencies
Sat Jan 17 03:31:42 2015  BLanczosTime: 248
Sat Jan 17 03:31:42 2015  
Sat Jan 17 03:31:42 2015  commencing square root phase
Sat Jan 17 03:31:42 2015  reading relations for dependency 1
Sat Jan 17 03:31:42 2015  read 197756 cycles
Sat Jan 17 03:31:43 2015  cycles contain 626092 unique relations
Sat Jan 17 03:31:47 2015  read 626092 relations
Sat Jan 17 03:31:48 2015  multiplying 626092 relations
Sat Jan 17 03:32:00 2015  multiply complete, coefficients have about 20.11 million bits
Sat Jan 17 03:32:00 2015  initial square root is modulo 595381
Sat Jan 17 03:32:16 2015  sqrtTime: 34
--
n: 123869974736562408660361461124645500565877622172929878188236104573977404935638221651086850907598511637895752465717729012117677781
m: 100000000000000000000000000000
deg: 5
c5: 7090
c0: -7
skew: 0.25
# Murphy_E = 1.044e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3

yafu v1.34.3

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

332535997373481544017635195347310163688382346043806575676563012991885934055625908728483654612823038319028188171286525022278504760564701468036208433<147>

5644609816833774370357343238929204771<37>

58912131779555073933338430192728691846153845236453997682116902793111883537047475733972098499098442952046829723<110>

Input number is 332535997373481544017635195347310163688382346043806575676563012991885934055625908728483654612823038319028188171286525022278504760564701468036208433 (147 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3290698945
Step 1 took 3744ms
Step 2 took 2293ms
********** Factor found in step 2: 5644609816833774370357343238929204771
Found probable prime factor of 37 digits: 5644609816833774370357343238929204771
Composite cofactor 58912131779555073933338430192728691846153845236453997682116902793111883537047475733972098499098442952046829723 has 110 digits

GMP-ECM 6.4.4

58912131779555073933338430192728691846153845236453997682116902793111883537047475733972098499098442952046829723<110>

234101180661117501194634689780034188809<39>
251652433418674976273228737407060072092091968515704234947720309286857347<72>

Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=2:1588750230674996840
Step 1 took 125422ms
Step 2 took 82125ms
********** Factor found in step 2: 234101180661117501194634689780034188809
Found probable prime factor of 39 digits: 234101180661117501194634689780034188809
Probable prime cofactor 251652433418674976273228737407060072092091968515704234947720309286857347 has 72 digits

GMP-ECM 7.0

32458911321704894016389690060889072013917502174609714782767934807489813670283385981779059652978070777823559034931099207984251247539257428008973126402051<152>

2665406156426932423475016917277043979787359236367<49>
12177848108979071409675472806205591558328014799108373590610932732049460750745245067805365042967402043853<104>

01/12/15 11:44:41 v1.34.3, 
01/12/15 11:44:41 v1.34.3, ****************************
01/12/15 11:44:41 v1.34.3, Starting factorization of 32458911321704894016389690060889072013917502174609714782767934807489813670283385981779059652978070777823559034931099207984251247539257428008973126402051
01/12/15 11:44:41 v1.34.3, using pretesting plan: none
01/12/15 11:44:41 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/12/15 11:44:41 v1.34.3, ****************************
01/12/15 11:44:41 v1.34.3, nfs: commencing nfs on c152: 32458911321704894016389690060889072013917502174609714782767934807489813670283385981779059652978070777823559034931099207984251247539257428008973126402051
01/12/15 11:44:41 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/12/15 11:44:41 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/12/15 11:48:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
[53 lines snipped]
01/12/15 15:22:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/12/15 15:26:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/12/15 15:30:59 v1.34.3, nfs: commencing msieve filtering
01/12/15 15:32:47 v1.34.3, nfs: commencing msieve linear algebra
01/12/15 15:38:48 v1.34.3, nfs: commencing msieve sqrt
01/12/15 15:39:39 v1.34.3, prp104 = 12177848108979071409675472806205591558328014799108373590610932732049460750745245067805365042967402043853
01/12/15 15:39:39 v1.34.3, prp49 = 2665406156426932423475016917277043979787359236367
01/12/15 15:39:39 v1.34.3, NFS elapsed time = 14097.9808 seconds.
01/12/15 15:39:39 v1.34.3, 
01/12/15 15:39:39 v1.34.3, 
01/12/15 15:39:39 v1.34.3, Total factoring time = 14097.9818 seconds
--
Mon Jan 12 15:30:59 2015  
Mon Jan 12 15:30:59 2015  commencing relation filtering
Mon Jan 12 15:30:59 2015  estimated available RAM is 15987.3 MB
Mon Jan 12 15:30:59 2015  commencing duplicate removal, pass 1
Mon Jan 12 15:31:27 2015  found 1542604 hash collisions in 10043219 relations
Mon Jan 12 15:31:35 2015  added 358305 free relations
Mon Jan 12 15:31:35 2015  commencing duplicate removal, pass 2
Mon Jan 12 15:31:44 2015  found 1172212 duplicates and 9229312 unique relations
Mon Jan 12 15:31:44 2015  memory use: 41.3 MB
Mon Jan 12 15:31:44 2015  reading ideals above 100000
Mon Jan 12 15:31:44 2015  commencing singleton removal, initial pass
Mon Jan 12 15:32:25 2015  memory use: 188.2 MB
Mon Jan 12 15:32:25 2015  reading all ideals from disk
Mon Jan 12 15:32:25 2015  memory use: 324.4 MB
Mon Jan 12 15:32:26 2015  keeping 9645043 ideals with weight <= 200, target excess is 50814
Mon Jan 12 15:32:26 2015  commencing in-memory singleton removal
Mon Jan 12 15:32:27 2015  begin with 9229312 relations and 9645043 unique ideals
Mon Jan 12 15:32:29 2015  reduce to 4294318 relations and 3569159 ideals in 12 passes
Mon Jan 12 15:32:29 2015  max relations containing the same ideal: 122
Mon Jan 12 15:32:30 2015  removing 1172232 relations and 839126 ideals in 333107 cliques
Mon Jan 12 15:32:31 2015  commencing in-memory singleton removal
Mon Jan 12 15:32:31 2015  begin with 3122086 relations and 3569159 unique ideals
Mon Jan 12 15:32:32 2015  reduce to 2896663 relations and 2483271 ideals in 8 passes
Mon Jan 12 15:32:32 2015  max relations containing the same ideal: 96
Mon Jan 12 15:32:32 2015  removing 984017 relations and 650910 ideals in 333107 cliques
Mon Jan 12 15:32:33 2015  commencing in-memory singleton removal
Mon Jan 12 15:32:33 2015  begin with 1912646 relations and 2483271 unique ideals
Mon Jan 12 15:32:33 2015  reduce to 1705850 relations and 1601706 ideals in 10 passes
Mon Jan 12 15:32:33 2015  max relations containing the same ideal: 69
Mon Jan 12 15:32:34 2015  removing 206292 relations and 161093 ideals in 45199 cliques
Mon Jan 12 15:32:34 2015  commencing in-memory singleton removal
Mon Jan 12 15:32:34 2015  begin with 1499558 relations and 1601706 unique ideals
Mon Jan 12 15:32:34 2015  reduce to 1480833 relations and 1421383 ideals in 8 passes
Mon Jan 12 15:32:34 2015  max relations containing the same ideal: 64
Mon Jan 12 15:32:35 2015  relations with 0 large ideals: 1096
Mon Jan 12 15:32:35 2015  relations with 1 large ideals: 610
Mon Jan 12 15:32:35 2015  relations with 2 large ideals: 7680
Mon Jan 12 15:32:35 2015  relations with 3 large ideals: 53113
Mon Jan 12 15:32:35 2015  relations with 4 large ideals: 185234
Mon Jan 12 15:32:35 2015  relations with 5 large ideals: 363483
Mon Jan 12 15:32:35 2015  relations with 6 large ideals: 433643
Mon Jan 12 15:32:35 2015  relations with 7+ large ideals: 435974
Mon Jan 12 15:32:35 2015  commencing 2-way merge
Mon Jan 12 15:32:35 2015  reduce to 915637 relation sets and 856187 unique ideals
Mon Jan 12 15:32:35 2015  commencing full merge
Mon Jan 12 15:32:43 2015  memory use: 112.3 MB
Mon Jan 12 15:32:43 2015  found 474638 cycles, need 466387
Mon Jan 12 15:32:43 2015  weight of 466387 cycles is about 32916995 (70.58/cycle)
Mon Jan 12 15:32:43 2015  distribution of cycle lengths:
Mon Jan 12 15:32:43 2015  1 relations: 40619
Mon Jan 12 15:32:43 2015  2 relations: 45786
Mon Jan 12 15:32:43 2015  3 relations: 49622
Mon Jan 12 15:32:43 2015  4 relations: 49335
Mon Jan 12 15:32:43 2015  5 relations: 47659
Mon Jan 12 15:32:43 2015  6 relations: 44234
Mon Jan 12 15:32:43 2015  7 relations: 39798
Mon Jan 12 15:32:43 2015  8 relations: 34431
Mon Jan 12 15:32:43 2015  9 relations: 28399
Mon Jan 12 15:32:43 2015  10+ relations: 86504
Mon Jan 12 15:32:43 2015  heaviest cycle: 20 relations
Mon Jan 12 15:32:44 2015  commencing cycle optimization
Mon Jan 12 15:32:44 2015  start with 2838846 relations
Mon Jan 12 15:32:46 2015  pruned 85072 relations
Mon Jan 12 15:32:46 2015  memory use: 89.7 MB
Mon Jan 12 15:32:46 2015  distribution of cycle lengths:
Mon Jan 12 15:32:46 2015  1 relations: 40619
Mon Jan 12 15:32:46 2015  2 relations: 46770
Mon Jan 12 15:32:46 2015  3 relations: 51373
Mon Jan 12 15:32:46 2015  4 relations: 50843
Mon Jan 12 15:32:46 2015  5 relations: 49548
Mon Jan 12 15:32:46 2015  6 relations: 45572
Mon Jan 12 15:32:46 2015  7 relations: 40858
Mon Jan 12 15:32:46 2015  8 relations: 35028
Mon Jan 12 15:32:46 2015  9 relations: 28461
Mon Jan 12 15:32:46 2015  10+ relations: 77315
Mon Jan 12 15:32:46 2015  heaviest cycle: 20 relations
Mon Jan 12 15:32:47 2015  RelProcTime: 108
Mon Jan 12 15:32:47 2015  
Mon Jan 12 15:32:47 2015  commencing linear algebra
Mon Jan 12 15:32:47 2015  read 466387 cycles
Mon Jan 12 15:32:47 2015  cycles contain 1441680 unique relations
Mon Jan 12 15:32:57 2015  read 1441680 relations
Mon Jan 12 15:32:58 2015  using 20 quadratic characters above 134216828
Mon Jan 12 15:33:02 2015  building initial matrix
Mon Jan 12 15:33:09 2015  memory use: 178.6 MB
Mon Jan 12 15:33:10 2015  read 466387 cycles
Mon Jan 12 15:33:10 2015  matrix is 466210 x 466387 (139.5 MB) with weight 41421691 (88.81/col)
Mon Jan 12 15:33:10 2015  sparse part has weight 31447110 (67.43/col)
Mon Jan 12 15:33:12 2015  filtering completed in 2 passes
Mon Jan 12 15:33:12 2015  matrix is 466108 x 466285 (139.5 MB) with weight 41418385 (88.83/col)
Mon Jan 12 15:33:12 2015  sparse part has weight 31446064 (67.44/col)
Mon Jan 12 15:33:12 2015  matrix starts at (0, 0)
Mon Jan 12 15:33:12 2015  matrix is 466108 x 466285 (139.5 MB) with weight 41418385 (88.83/col)
Mon Jan 12 15:33:12 2015  sparse part has weight 31446064 (67.44/col)
Mon Jan 12 15:33:12 2015  saving the first 48 matrix rows for later
Mon Jan 12 15:33:12 2015  matrix includes 64 packed rows
Mon Jan 12 15:33:12 2015  matrix is 466060 x 466285 (131.6 MB) with weight 32620341 (69.96/col)
Mon Jan 12 15:33:12 2015  sparse part has weight 29827611 (63.97/col)
Mon Jan 12 15:33:12 2015  using block size 65536 for processor cache size 8192 kB
Mon Jan 12 15:33:13 2015  commencing Lanczos iteration (8 threads)
Mon Jan 12 15:33:13 2015  memory use: 127.8 MB
Mon Jan 12 15:33:22 2015  linear algebra at 2.6%, ETA 0h 5m
Mon Jan 12 15:38:48 2015  lanczos halted after 7372 iterations (dim = 466057)
Mon Jan 12 15:38:48 2015  recovered 34 nontrivial dependencies
Mon Jan 12 15:38:48 2015  BLanczosTime: 361
Mon Jan 12 15:38:48 2015  
Mon Jan 12 15:38:48 2015  commencing square root phase
Mon Jan 12 15:38:48 2015  reading relations for dependency 1
Mon Jan 12 15:38:48 2015  read 232720 cycles
Mon Jan 12 15:38:48 2015  cycles contain 720198 unique relations
Mon Jan 12 15:38:56 2015  read 720198 relations
Mon Jan 12 15:38:58 2015  multiplying 720198 relations
Mon Jan 12 15:39:15 2015  multiply complete, coefficients have about 28.19 million bits
Mon Jan 12 15:39:15 2015  initial square root is modulo 124560361
Mon Jan 12 15:39:39 2015  sqrtTime: 51
--
n: 32458911321704894016389690060889072013917502174609714782767934807489813670283385981779059652978070777823559034931099207984251247539257428008973126402051
m: 1000000000000000000000000000000
deg: 5
c5: 709000
c0: -7
skew: 0.10
# Murphy_E = 4.523e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4

yafu v1.34.3

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

696672234044704396525157373855417030125195464851635290792040054493352333010615906149882361072663645215930741532332697417599960315492194149669393<144>

113040500128522540213122655272616901262079713515146550500733<60>
6163032127888817300293257418356021363246933054361191744541013705783464382376736138021<85>

01/13/15 19:15:25 v1.34.3, 
01/13/15 19:15:25 v1.34.3, ****************************
01/13/15 19:15:25 v1.34.3, Starting factorization of 696672234044704396525157373855417030125195464851635290792040054493352333010615906149882361072663645215930741532332697417599960315492194149669393
01/13/15 19:15:25 v1.34.3, using pretesting plan: none
01/13/15 19:15:25 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/13/15 19:15:25 v1.34.3, ****************************
01/13/15 19:15:25 v1.34.3, nfs: commencing nfs on c144: 696672234044704396525157373855417030125195464851635290792040054493352333010615906149882361072663645215930741532332697417599960315492194149669393
01/13/15 19:15:25 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/13/15 19:15:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 19:19:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
[35 lines snipped]
01/13/15 21:58:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 22:03:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 22:07:32 v1.34.3, nfs: commencing msieve filtering
01/13/15 22:09:22 v1.34.3, nfs: commencing msieve linear algebra
01/13/15 22:13:51 v1.34.3, nfs: commencing msieve sqrt
01/13/15 22:15:10 v1.34.3, prp60 = 113040500128522540213122655272616901262079713515146550500733
01/13/15 22:15:10 v1.34.3, prp85 = 6163032127888817300293257418356021363246933054361191744541013705783464382376736138021
01/13/15 22:15:10 v1.34.3, NFS elapsed time = 10785.5604 seconds.
01/13/15 22:15:10 v1.34.3, 
01/13/15 22:15:10 v1.34.3, 
01/13/15 22:15:10 v1.34.3, Total factoring time = 10785.5612 seconds
--
Tue Jan 13 22:07:32 2015  
Tue Jan 13 22:07:32 2015  commencing relation filtering
Tue Jan 13 22:07:32 2015  estimated available RAM is 15987.3 MB
Tue Jan 13 22:07:32 2015  commencing duplicate removal, pass 1
Tue Jan 13 22:08:01 2015  found 1343926 hash collisions in 10141864 relations
Tue Jan 13 22:08:09 2015  added 358829 free relations
Tue Jan 13 22:08:09 2015  commencing duplicate removal, pass 2
Tue Jan 13 22:08:17 2015  found 883589 duplicates and 9617104 unique relations
Tue Jan 13 22:08:17 2015  memory use: 41.3 MB
Tue Jan 13 22:08:17 2015  reading ideals above 100000
Tue Jan 13 22:08:17 2015  commencing singleton removal, initial pass
Tue Jan 13 22:09:01 2015  memory use: 188.2 MB
Tue Jan 13 22:09:01 2015  reading all ideals from disk
Tue Jan 13 22:09:01 2015  memory use: 333.3 MB
Tue Jan 13 22:09:02 2015  keeping 9760255 ideals with weight <= 200, target excess is 50996
Tue Jan 13 22:09:02 2015  commencing in-memory singleton removal
Tue Jan 13 22:09:02 2015  begin with 9617104 relations and 9760255 unique ideals
Tue Jan 13 22:09:05 2015  reduce to 4708806 relations and 3752569 ideals in 13 passes
Tue Jan 13 22:09:05 2015  max relations containing the same ideal: 125
Tue Jan 13 22:09:06 2015  removing 1302695 relations and 902695 ideals in 400000 cliques
Tue Jan 13 22:09:07 2015  commencing in-memory singleton removal
Tue Jan 13 22:09:07 2015  begin with 3406111 relations and 3752569 unique ideals
Tue Jan 13 22:09:08 2015  reduce to 3171601 relations and 2591614 ideals in 9 passes
Tue Jan 13 22:09:08 2015  max relations containing the same ideal: 98
Tue Jan 13 22:09:09 2015  removing 1104767 relations and 704767 ideals in 400000 cliques
Tue Jan 13 22:09:09 2015  commencing in-memory singleton removal
Tue Jan 13 22:09:09 2015  begin with 2066834 relations and 2591614 unique ideals
Tue Jan 13 22:09:10 2015  reduce to 1856407 relations and 1650542 ideals in 9 passes
Tue Jan 13 22:09:10 2015  max relations containing the same ideal: 66
Tue Jan 13 22:09:10 2015  removing 468375 relations and 321666 ideals in 146709 cliques
Tue Jan 13 22:09:10 2015  commencing in-memory singleton removal
Tue Jan 13 22:09:10 2015  begin with 1388032 relations and 1650542 unique ideals
Tue Jan 13 22:09:11 2015  reduce to 1300171 relations and 1234070 ideals in 10 passes
Tue Jan 13 22:09:11 2015  max relations containing the same ideal: 51
Tue Jan 13 22:09:11 2015  relations with 0 large ideals: 1125
Tue Jan 13 22:09:11 2015  relations with 1 large ideals: 683
Tue Jan 13 22:09:11 2015  relations with 2 large ideals: 9555
Tue Jan 13 22:09:11 2015  relations with 3 large ideals: 59946
Tue Jan 13 22:09:11 2015  relations with 4 large ideals: 193364
Tue Jan 13 22:09:11 2015  relations with 5 large ideals: 342810
Tue Jan 13 22:09:11 2015  relations with 6 large ideals: 370297
Tue Jan 13 22:09:11 2015  relations with 7+ large ideals: 322391
Tue Jan 13 22:09:11 2015  commencing 2-way merge
Tue Jan 13 22:09:11 2015  reduce to 808299 relation sets and 742198 unique ideals
Tue Jan 13 22:09:11 2015  commencing full merge
Tue Jan 13 22:09:19 2015  memory use: 96.7 MB
Tue Jan 13 22:09:19 2015  found 412684 cycles, need 398398
Tue Jan 13 22:09:19 2015  weight of 398398 cycles is about 28040984 (70.38/cycle)
Tue Jan 13 22:09:19 2015  distribution of cycle lengths:
Tue Jan 13 22:09:19 2015  1 relations: 34545
Tue Jan 13 22:09:19 2015  2 relations: 37911
Tue Jan 13 22:09:19 2015  3 relations: 41718
Tue Jan 13 22:09:19 2015  4 relations: 41751
Tue Jan 13 22:09:19 2015  5 relations: 41725
Tue Jan 13 22:09:19 2015  6 relations: 38938
Tue Jan 13 22:09:19 2015  7 relations: 34765
Tue Jan 13 22:09:19 2015  8 relations: 29646
Tue Jan 13 22:09:19 2015  9 relations: 24889
Tue Jan 13 22:09:19 2015  10+ relations: 72510
Tue Jan 13 22:09:19 2015  heaviest cycle: 19 relations
Tue Jan 13 22:09:19 2015  commencing cycle optimization
Tue Jan 13 22:09:19 2015  start with 2416325 relations
Tue Jan 13 22:09:22 2015  pruned 75036 relations
Tue Jan 13 22:09:22 2015  memory use: 76.4 MB
Tue Jan 13 22:09:22 2015  distribution of cycle lengths:
Tue Jan 13 22:09:22 2015  1 relations: 34545
Tue Jan 13 22:09:22 2015  2 relations: 38750
Tue Jan 13 22:09:22 2015  3 relations: 43269
Tue Jan 13 22:09:22 2015  4 relations: 43216
Tue Jan 13 22:09:22 2015  5 relations: 43533
Tue Jan 13 22:09:22 2015  6 relations: 40234
Tue Jan 13 22:09:22 2015  7 relations: 35915
Tue Jan 13 22:09:22 2015  8 relations: 30122
Tue Jan 13 22:09:22 2015  9 relations: 24796
Tue Jan 13 22:09:22 2015  10+ relations: 64018
Tue Jan 13 22:09:22 2015  heaviest cycle: 18 relations
Tue Jan 13 22:09:22 2015  RelProcTime: 110
Tue Jan 13 22:09:22 2015  
Tue Jan 13 22:09:22 2015  commencing linear algebra
Tue Jan 13 22:09:22 2015  read 398398 cycles
Tue Jan 13 22:09:23 2015  cycles contain 1229279 unique relations
Tue Jan 13 22:09:32 2015  read 1229279 relations
Tue Jan 13 22:09:33 2015  using 20 quadratic characters above 134215694
Tue Jan 13 22:09:37 2015  building initial matrix
Tue Jan 13 22:09:43 2015  memory use: 153.9 MB
Tue Jan 13 22:09:43 2015  read 398398 cycles
Tue Jan 13 22:09:44 2015  matrix is 398219 x 398398 (118.5 MB) with weight 35981370 (90.32/col)
Tue Jan 13 22:09:44 2015  sparse part has weight 26691609 (67.00/col)
Tue Jan 13 22:09:45 2015  filtering completed in 2 passes
Tue Jan 13 22:09:45 2015  matrix is 397967 x 398146 (118.5 MB) with weight 35968962 (90.34/col)
Tue Jan 13 22:09:45 2015  sparse part has weight 26685116 (67.02/col)
Tue Jan 13 22:09:46 2015  matrix starts at (0, 0)
Tue Jan 13 22:09:46 2015  matrix is 397967 x 398146 (118.5 MB) with weight 35968962 (90.34/col)
Tue Jan 13 22:09:46 2015  sparse part has weight 26685116 (67.02/col)
Tue Jan 13 22:09:46 2015  saving the first 48 matrix rows for later
Tue Jan 13 22:09:46 2015  matrix includes 64 packed rows
Tue Jan 13 22:09:46 2015  matrix is 397919 x 398146 (112.8 MB) with weight 28567476 (71.75/col)
Tue Jan 13 22:09:46 2015  sparse part has weight 25592660 (64.28/col)
Tue Jan 13 22:09:46 2015  using block size 65536 for processor cache size 8192 kB
Tue Jan 13 22:09:47 2015  commencing Lanczos iteration (8 threads)
Tue Jan 13 22:09:47 2015  memory use: 108.4 MB
Tue Jan 13 22:09:54 2015  linear algebra at 3.0%, ETA 0h 3m
Tue Jan 13 22:13:51 2015  lanczos halted after 6295 iterations (dim = 397918)
Tue Jan 13 22:13:51 2015  recovered 38 nontrivial dependencies
Tue Jan 13 22:13:51 2015  BLanczosTime: 269
Tue Jan 13 22:13:51 2015  
Tue Jan 13 22:13:51 2015  commencing square root phase
Tue Jan 13 22:13:51 2015  reading relations for dependency 1
Tue Jan 13 22:13:51 2015  read 199340 cycles
Tue Jan 13 22:13:51 2015  cycles contain 615152 unique relations
Tue Jan 13 22:13:59 2015  read 615152 relations
Tue Jan 13 22:14:01 2015  multiplying 615152 relations
Tue Jan 13 22:14:14 2015  multiply complete, coefficients have about 20.88 million bits
Tue Jan 13 22:14:14 2015  initial square root is modulo 991381
Tue Jan 13 22:14:31 2015  GCD is 1, no factor found
Tue Jan 13 22:14:31 2015  reading relations for dependency 2
Tue Jan 13 22:14:31 2015  read 198915 cycles
Tue Jan 13 22:14:31 2015  cycles contain 614544 unique relations
Tue Jan 13 22:14:39 2015  read 614544 relations
Tue Jan 13 22:14:40 2015  multiplying 614544 relations
Tue Jan 13 22:14:54 2015  multiply complete, coefficients have about 20.85 million bits
Tue Jan 13 22:14:54 2015  initial square root is modulo 976351
Tue Jan 13 22:15:10 2015  sqrtTime: 79
--
n: 696672234044704396525157373855417030125195464851635290792040054493352333010615906149882361072663645215930741532332697417599960315492194149669393
m: 5000000000000000000000000000000
deg: 5
c5: 11344
c0: -35
skew: 0.31
# Murphy_E = 5.857e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4

yafu v1.34.3

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

712215689794413585397826273893890683213150306815182080476934586153773423489230266400876596366039560072203<105>

15172791441646962205839199792785342087097261<44>
46940320278804587059469114364565638814591486751735626749603223<62>

01/09/15 11:38:20 v1.34.3, 
01/09/15 11:38:20 v1.34.3, ****************************
01/09/15 11:38:20 v1.34.3, Starting factorization of 712215689794413585397826273893890683213150306815182080476934586153773423489230266400876596366039560072203
01/09/15 11:38:20 v1.34.3, using pretesting plan: none
01/09/15 11:38:20 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/09/15 11:38:20 v1.34.3, ****************************
01/09/15 11:38:20 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C105
01/09/15 11:38:20 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C105
01/09/15 11:38:20 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C105
01/09/15 11:38:20 v1.34.3, final ECM pretested depth: 0.00
01/09/15 11:38:20 v1.34.3, scheduler: switching to sieve method
01/09/15 11:38:20 v1.34.3, nfs: commencing nfs on c105: 712215689794413585397826273893890683213150306815182080476934586153773423489230266400876596366039560072203
01/09/15 11:38:20 v1.34.3, nfs: commencing poly selection with 8 threads
01/09/15 11:38:20 v1.34.3, nfs: setting deadline of 238 seconds
01/09/15 11:43:44 v1.34.3, nfs: completed 41 ranges of size 250 in 323.8301 seconds
01/09/15 11:43:44 v1.34.3, nfs: best poly = # norm 2.592794e-14 alpha -6.492521 e 6.038e-09 rroots 4
01/09/15 11:43:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 11:45:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
[19 lines snipped]
01/09/15 12:11:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 12:12:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 12:14:01 v1.34.3, nfs: commencing msieve filtering
01/09/15 12:14:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 12:16:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 12:17:25 v1.34.3, nfs: commencing msieve filtering
01/09/15 12:18:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 12:19:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 12:20:53 v1.34.3, nfs: commencing msieve filtering
01/09/15 12:21:54 v1.34.3, nfs: commencing msieve linear algebra
01/09/15 12:25:29 v1.34.3, nfs: commencing msieve sqrt
01/09/15 12:26:07 v1.34.3, prp44 = 15172791441646962205839199792785342087097261
01/09/15 12:26:07 v1.34.3, prp62 = 46940320278804587059469114364565638814591486751735626749603223
01/09/15 12:26:07 v1.34.3, NFS elapsed time = 2867.5344 seconds.
01/09/15 12:26:07 v1.34.3, 
01/09/15 12:26:07 v1.34.3, 
01/09/15 12:26:07 v1.34.3, Total factoring time = 2867.5567 seconds
--
Fri Jan  9 12:14:01 2015  
Fri Jan  9 12:14:01 2015  commencing relation filtering
Fri Jan  9 12:14:01 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 12:14:01 2015  commencing duplicate removal, pass 1
Fri Jan  9 12:14:14 2015  found 431437 hash collisions in 4479660 relations
Fri Jan  9 12:14:17 2015  added 158269 free relations
Fri Jan  9 12:14:17 2015  commencing duplicate removal, pass 2
Fri Jan  9 12:14:21 2015  found 206324 duplicates and 4431605 unique relations
Fri Jan  9 12:14:21 2015  memory use: 20.6 MB
Fri Jan  9 12:14:21 2015  reading ideals above 100000
Fri Jan  9 12:14:21 2015  commencing singleton removal, initial pass
Fri Jan  9 12:14:40 2015  memory use: 172.2 MB
Fri Jan  9 12:14:40 2015  reading all ideals from disk
Fri Jan  9 12:14:40 2015  memory use: 141.5 MB
Fri Jan  9 12:14:40 2015  keeping 5443515 ideals with weight <= 200, target excess is 21170
Fri Jan  9 12:14:40 2015  commencing in-memory singleton removal
Fri Jan  9 12:14:40 2015  begin with 4431605 relations and 5443515 unique ideals
Fri Jan  9 12:14:42 2015  reduce to 702606 relations and 827288 ideals in 52 passes
Fri Jan  9 12:14:42 2015  max relations containing the same ideal: 53
Fri Jan  9 12:17:25 2015  
Fri Jan  9 12:17:25 2015  commencing relation filtering
Fri Jan  9 12:17:25 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 12:17:25 2015  commencing duplicate removal, pass 1
Fri Jan  9 12:17:40 2015  found 519478 hash collisions in 5031447 relations
Fri Jan  9 12:17:43 2015  added 1420 free relations
Fri Jan  9 12:17:43 2015  commencing duplicate removal, pass 2
Fri Jan  9 12:17:47 2015  found 240267 duplicates and 4792600 unique relations
Fri Jan  9 12:17:47 2015  memory use: 20.6 MB
Fri Jan  9 12:17:47 2015  reading ideals above 100000
Fri Jan  9 12:17:47 2015  commencing singleton removal, initial pass
Fri Jan  9 12:18:06 2015  memory use: 172.2 MB
Fri Jan  9 12:18:08 2015  reading all ideals from disk
Fri Jan  9 12:18:08 2015  memory use: 153.1 MB
Fri Jan  9 12:18:08 2015  keeping 5614843 ideals with weight <= 200, target excess is 22606
Fri Jan  9 12:18:08 2015  commencing in-memory singleton removal
Fri Jan  9 12:18:08 2015  begin with 4792600 relations and 5614843 unique ideals
Fri Jan  9 12:18:10 2015  reduce to 1290456 relations and 1336053 ideals in 25 passes
Fri Jan  9 12:18:10 2015  max relations containing the same ideal: 81
Fri Jan  9 12:20:53 2015  
Fri Jan  9 12:20:53 2015  commencing relation filtering
Fri Jan  9 12:20:53 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 12:20:53 2015  commencing duplicate removal, pass 1
Fri Jan  9 12:21:10 2015  found 595268 hash collisions in 5431320 relations
Fri Jan  9 12:21:13 2015  added 1092 free relations
Fri Jan  9 12:21:13 2015  commencing duplicate removal, pass 2
Fri Jan  9 12:21:17 2015  found 276776 duplicates and 5155636 unique relations
Fri Jan  9 12:21:17 2015  memory use: 20.6 MB
Fri Jan  9 12:21:17 2015  reading ideals above 100000
Fri Jan  9 12:21:17 2015  commencing singleton removal, initial pass
Fri Jan  9 12:21:39 2015  memory use: 172.2 MB
Fri Jan  9 12:21:40 2015  reading all ideals from disk
Fri Jan  9 12:21:40 2015  memory use: 164.8 MB
Fri Jan  9 12:21:40 2015  keeping 5773233 ideals with weight <= 200, target excess is 24287
Fri Jan  9 12:21:40 2015  commencing in-memory singleton removal
Fri Jan  9 12:21:41 2015  begin with 5155636 relations and 5773233 unique ideals
Fri Jan  9 12:21:42 2015  reduce to 1789608 relations and 1723208 ideals in 21 passes
Fri Jan  9 12:21:42 2015  max relations containing the same ideal: 97
Fri Jan  9 12:21:43 2015  removing 219308 relations and 200194 ideals in 19114 cliques
Fri Jan  9 12:21:43 2015  commencing in-memory singleton removal
Fri Jan  9 12:21:43 2015  begin with 1570300 relations and 1723208 unique ideals
Fri Jan  9 12:21:43 2015  reduce to 1545583 relations and 1497900 ideals in 10 passes
Fri Jan  9 12:21:43 2015  max relations containing the same ideal: 91
Fri Jan  9 12:21:43 2015  removing 158867 relations and 139753 ideals in 19114 cliques
Fri Jan  9 12:21:43 2015  commencing in-memory singleton removal
Fri Jan  9 12:21:43 2015  begin with 1386716 relations and 1497900 unique ideals
Fri Jan  9 12:21:44 2015  reduce to 1371423 relations and 1342654 ideals in 9 passes
Fri Jan  9 12:21:44 2015  max relations containing the same ideal: 85
Fri Jan  9 12:21:44 2015  relations with 0 large ideals: 446
Fri Jan  9 12:21:44 2015  relations with 1 large ideals: 220
Fri Jan  9 12:21:44 2015  relations with 2 large ideals: 3262
Fri Jan  9 12:21:44 2015  relations with 3 large ideals: 28074
Fri Jan  9 12:21:44 2015  relations with 4 large ideals: 123217
Fri Jan  9 12:21:44 2015  relations with 5 large ideals: 317998
Fri Jan  9 12:21:44 2015  relations with 6 large ideals: 419368
Fri Jan  9 12:21:44 2015  relations with 7+ large ideals: 478838
Fri Jan  9 12:21:44 2015  commencing 2-way merge
Fri Jan  9 12:21:45 2015  reduce to 765666 relation sets and 736899 unique ideals
Fri Jan  9 12:21:45 2015  ignored 2 oversize relation sets
Fri Jan  9 12:21:45 2015  commencing full merge
Fri Jan  9 12:21:51 2015  memory use: 80.1 MB
Fri Jan  9 12:21:51 2015  found 363295 cycles, need 361099
Fri Jan  9 12:21:51 2015  weight of 361099 cycles is about 25538463 (70.72/cycle)
Fri Jan  9 12:21:51 2015  distribution of cycle lengths:
Fri Jan  9 12:21:51 2015  1 relations: 40779
Fri Jan  9 12:21:51 2015  2 relations: 39239
Fri Jan  9 12:21:51 2015  3 relations: 37723
Fri Jan  9 12:21:51 2015  4 relations: 33880
Fri Jan  9 12:21:51 2015  5 relations: 31088
Fri Jan  9 12:21:51 2015  6 relations: 26469
Fri Jan  9 12:21:51 2015  7 relations: 23247
Fri Jan  9 12:21:51 2015  8 relations: 20225
Fri Jan  9 12:21:51 2015  9 relations: 17596
Fri Jan  9 12:21:51 2015  10+ relations: 90853
Fri Jan  9 12:21:51 2015  heaviest cycle: 28 relations
Fri Jan  9 12:21:51 2015  commencing cycle optimization
Fri Jan  9 12:21:52 2015  start with 2443403 relations
Fri Jan  9 12:21:54 2015  pruned 51906 relations
Fri Jan  9 12:21:54 2015  memory use: 79.8 MB
Fri Jan  9 12:21:54 2015  distribution of cycle lengths:
Fri Jan  9 12:21:54 2015  1 relations: 40779
Fri Jan  9 12:21:54 2015  2 relations: 40046
Fri Jan  9 12:21:54 2015  3 relations: 38897
Fri Jan  9 12:21:54 2015  4 relations: 34556
Fri Jan  9 12:21:54 2015  5 relations: 31666
Fri Jan  9 12:21:54 2015  6 relations: 26809
Fri Jan  9 12:21:54 2015  7 relations: 23420
Fri Jan  9 12:21:54 2015  8 relations: 20230
Fri Jan  9 12:21:54 2015  9 relations: 17490
Fri Jan  9 12:21:54 2015  10+ relations: 87206
Fri Jan  9 12:21:54 2015  heaviest cycle: 28 relations
Fri Jan  9 12:21:54 2015  RelProcTime: 61
Fri Jan  9 12:21:54 2015  
Fri Jan  9 12:21:54 2015  commencing linear algebra
Fri Jan  9 12:21:54 2015  read 361099 cycles
Fri Jan  9 12:21:55 2015  cycles contain 1330304 unique relations
Fri Jan  9 12:22:01 2015  read 1330304 relations
Fri Jan  9 12:22:02 2015  using 20 quadratic characters above 67108740
Fri Jan  9 12:22:06 2015  building initial matrix
Fri Jan  9 12:22:12 2015  memory use: 163.9 MB
Fri Jan  9 12:22:12 2015  read 361099 cycles
Fri Jan  9 12:22:12 2015  matrix is 360925 x 361099 (110.2 MB) with weight 34957091 (96.81/col)
Fri Jan  9 12:22:12 2015  sparse part has weight 24550725 (67.99/col)
Fri Jan  9 12:22:14 2015  filtering completed in 2 passes
Fri Jan  9 12:22:14 2015  matrix is 360433 x 360609 (110.1 MB) with weight 34935489 (96.88/col)
Fri Jan  9 12:22:14 2015  sparse part has weight 24544616 (68.06/col)
Fri Jan  9 12:22:15 2015  matrix starts at (0, 0)
Fri Jan  9 12:22:15 2015  matrix is 360433 x 360609 (110.1 MB) with weight 34935489 (96.88/col)
Fri Jan  9 12:22:15 2015  sparse part has weight 24544616 (68.06/col)
Fri Jan  9 12:22:15 2015  saving the first 48 matrix rows for later
Fri Jan  9 12:22:15 2015  matrix includes 64 packed rows
Fri Jan  9 12:22:15 2015  matrix is 360385 x 360609 (105.4 MB) with weight 27749591 (76.95/col)
Fri Jan  9 12:22:15 2015  sparse part has weight 24034952 (66.65/col)
Fri Jan  9 12:22:15 2015  using block size 65536 for processor cache size 8192 kB
Fri Jan  9 12:22:16 2015  commencing Lanczos iteration (8 threads)
Fri Jan  9 12:22:16 2015  memory use: 99.7 MB
Fri Jan  9 12:22:22 2015  linear algebra at 3.4%, ETA 0h 2m
Fri Jan  9 12:25:29 2015  lanczos halted after 5700 iterations (dim = 360383)
Fri Jan  9 12:25:29 2015  recovered 30 nontrivial dependencies
Fri Jan  9 12:25:29 2015  BLanczosTime: 215
Fri Jan  9 12:25:29 2015  
Fri Jan  9 12:25:29 2015  commencing square root phase
Fri Jan  9 12:25:29 2015  reading relations for dependency 1
Fri Jan  9 12:25:29 2015  read 180266 cycles
Fri Jan  9 12:25:29 2015  cycles contain 664618 unique relations
Fri Jan  9 12:25:34 2015  read 664618 relations
Fri Jan  9 12:25:35 2015  multiplying 664618 relations
Fri Jan  9 12:25:48 2015  multiply complete, coefficients have about 29.47 million bits
Fri Jan  9 12:25:48 2015  initial square root is modulo 290919107
Fri Jan  9 12:26:07 2015  sqrtTime: 38
--
n: 712215689794413585397826273893890683213150306815182080476934586153773423489230266400876596366039560072203
skew: 4149809.63
c0: 1009786322626010678010616143240
c1: 37873859973247039082074
c2: -321205860068887585
c3: -5134917758
c4: 10224
Y0: -16246048449872742916610027
Y1: 20880564195383
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5

yafu v1.34.3

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

732060919640366499494615443636764916339173102693215745838460048718853832984553696469709570674969394971354061710953186149465777917<129>

1882075901080914322233297800576666454330303121986432824205541<61>
388964610417639948129771723951920441406541514809371085334878148346937<69>

Number: 78777_162
N=732060919640366499494615443636764916339173102693215745838460048718853832984553696469709570674969394971354061710953186149465777917
  ( 129 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=1882075901080914322233297800576666454330303121986432824205541
 r2=388964610417639948129771723951920441406541514809371085334878148346937
Version: 
Total time: 19.47 hours.
Scaled time: 102.25 units (timescale=5.251).
Factorization parameters were as follows:
n: 732060919640366499494615443636764916339173102693215745838460048718853832984553696469709570674969394971354061710953186149465777917
m: 100000000000000000000000000000000
deg: 5
c5: 70900
c0: -7
skew: 0.16
# Murphy_E = 2.391e-10
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 4800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10234905
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 789493 x 789741
Total sieving time: 18.04 hours.
Total relation processing time: 0.72 hours.
Matrix solve time: 0.59 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 19.47 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400121)
Total of 12 processors activated (81602.90 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

327747312347370545241331483925529214361366367125856010493335253113882738153446170032292198836289211812784552871907446835038826166006924848599<141>

2083753901696165740956311956764964123769<40>
157286957965902689199685171931855362070182280532269450471810884566624558966979070166931712747628069071<102>

Number: 78777_164
N=327747312347370545241331483925529214361366367125856010493335253113882738153446170032292198836289211812784552871907446835038826166006924848599
  ( 141 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=2083753901696165740956311956764964123769
 r2=157286957965902689199685171931855362070182280532269450471810884566624558966979070166931712747628069071
Version: 
Total time: 18.55 hours.
Scaled time: 95.27 units (timescale=5.136).
Factorization parameters were as follows:
n: 327747312347370545241331483925529214361366367125856010493335253113882738153446170032292198836289211812784552871907446835038826166006924848599
m: 1000000000000000000000000000000000
deg: 5
c5: 709
c0: -70
skew: 0.63
# Murphy_E = 2.394e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 4800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9968269
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 857607 x 857855
Total sieving time: 17.08 hours.
Total relation processing time: 0.62 hours.
Matrix solve time: 0.72 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 18.55 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.06 BogoMIPS (lpj=3400031)
Total of 12 processors activated (81600.74 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

49140639555907369989538842108099310822608617085892968795276559997375846228717972182432840790356859318229292613058237382493102834613399520312881457659497<152>

129871520815370182969241476545654204785557<42>
378378872037445314143330646108954309149220911182093376717978775339242711140289689834452040819923895190137420421<111>

Number: 78777_166
N=49140639555907369989538842108099310822608617085892968795276559997375846228717972182432840790356859318229292613058237382493102834613399520312881457659497
  ( 152 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=129871520815370182969241476545654204785557
 r2=378378872037445314143330646108954309149220911182093376717978775339242711140289689834452040819923895190137420421
Version: 
Total time: 25.79 hours.
Scaled time: 135.56 units (timescale=5.256).
Factorization parameters were as follows:
n: 49140639555907369989538842108099310822608617085892968795276559997375846228717972182432840790356859318229292613058237382493102834613399520312881457659497
m: 1000000000000000000000000000000000
deg: 5
c5: 7090
c0: -7
skew: 0.25
# Murphy_E = 1.768e-10
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2400000, 6000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11313829
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1011687 x 1011935
Total sieving time: 24.00 hours.
Total relation processing time: 0.70 hours.
Matrix solve time: 1.01 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 25.79 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.94 BogoMIPS (lpj=3399972)
Total of 12 processors activated (81599.32 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

43270477409352674034077248950788329310287874175010424684592861666796638185020315596887903022058805069584343921240282542139667258304404010327<140>

3024542595019941831100921923551239300402952099115594704406833647<64>
14306453306559359981036939642003742063450444205609015313336179065915435676441<77>

Number: 78777_167
N=43270477409352674034077248950788329310287874175010424684592861666796638185020315596887903022058805069584343921240282542139667258304404010327
  ( 140 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=3024542595019941831100921923551239300402952099115594704406833647
 r2=14306453306559359981036939642003742063450444205609015313336179065915435676441
Version: 
Total time: 30.37 hours.
Scaled time: 159.44 units (timescale=5.250).
Factorization parameters were as follows:
n: 43270477409352674034077248950788329310287874175010424684592861666796638185020315596887903022058805069584343921240282542139667258304404010327
m: 1000000000000000000000000000000000
deg: 5
c5: 70900
c0: -7
skew: 0.16
# Murphy_E = 1.522e-10
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2600000, 6800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11589410
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1063208 x 1063456
Total sieving time: 28.33 hours.
Total relation processing time: 0.78 hours.
Matrix solve time: 1.18 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 30.37 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.89 BogoMIPS (lpj=3399946)
Total of 12 processors activated (81598.70 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

423686010515268518156310703612228474211404521026481800297975751414945494797798020373569328387478738490211387466364471906012321983<129>

39321353935366544347498826084127705473399<41>
10774959865616311401385175471086192087386055559553799892895144464551994555855099822445817<89>

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 423686010515268518156310703612228474211404521026481800297975751414945494797798020373569328387478738490211387466364471906012321983 (129 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4029497913
Step 1 took 19548ms
Step 2 took 7754ms
********** Factor found in step 2: 39321353935366544347498826084127705473399
Found probable prime factor of 41 digits: 39321353935366544347498826084127705473399
Probable prime cofactor 10774959865616311401385175471086192087386055559553799892895144464551994555855099822445817 has 89 digits

Core i7-4930K

7697480688288486046611189935376153727908951045600317469725664600184064459862791397047613151128602175733846731193116465902093606504785043329916770159511656973014271<163>

543700175623058713048241235158868496744790670606203509657541146236127<69>
14157583597370518099540110364193640554101113313617710410644653824771789393661366209904683951073<95>

Number: 78777_169
N=7697480688288486046611189935376153727908951045600317469725664600184064459862791397047613151128602175733846731193116465902093606504785043329916770159511656973014271
  ( 163 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=543700175623058713048241235158868496744790670606203509657541146236127
 r2=14157583597370518099540110364193640554101113313617710410644653824771789393661366209904683951073
Version: 
Total time: 29.24 hours.
Scaled time: 153.04 units (timescale=5.234).
Factorization parameters were as follows:
n: 7697480688288486046611189935376153727908951045600317469725664600184064459862791397047613151128602175733846731193116465902093606504785043329916770159511656973014271
m: 10000000000000000000000000000000000
deg: 5
c5: 709
c0: -70
skew: 0.63
# Murphy_E = 1.52e-10
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [3000000, 6700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11360557
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1084177 x 1084425
Total sieving time: 26.44 hours.
Total relation processing time: 1.03 hours.
Matrix solve time: 1.22 hours.
Time per square root: 0.54 hours.
Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,52,52,2.4,2.4,100000
total time: 29.24 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

631974082751707917206338682610364456047680976079473486869435722415988719023939057681719810646231794432308563617695494027651470968077289416212596143<147>

67522624315940346324309411009810799068187786125026593<53>
9359441952295612584543400467349498159534224342126671232740766240235090278476183781492713734351<94>

Number: 78777_170
N=631974082751707917206338682610364456047680976079473486869435722415988719023939057681719810646231794432308563617695494027651470968077289416212596143
  ( 147 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=67522624315940346324309411009810799068187786125026593
 r2=9359441952295612584543400467349498159534224342126671232740766240235090278476183781492713734351
Version: 
Total time: 25.84 hours.
Scaled time: 131.22 units (timescale=5.079).
Factorization parameters were as follows:
n: 631974082751707917206338682610364456047680976079473486869435722415988719023939057681719810646231794432308563617695494027651470968077289416212596143
m: 10000000000000000000000000000000000
deg: 5
c5: 709
c0: -7
skew: 0.40
# Murphy_E = 1.69e-10
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [3000000, 6300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11156414
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1070835 x 1071083
Total sieving time: 23.61 hours.
Total relation processing time: 0.92 hours.
Matrix solve time: 1.24 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,52,52,2.4,2.4,100000
total time: 25.84 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.21 BogoMIPS (lpj=3400107)
Total of 12 processors activated (81602.56 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

36825037062477796373436548849970935151925846973374293200237782077849318481573453297202182062220966774847518378780610455440048631503153991<137>

40227744167116743814968239980602082684489<41>
915413922030944675414456664291581407349247320531268857287934003912298932506589735588007654018319<96>

GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 36825037062477796373436548849970935151925846973374293200237782077849318481573453297202182062220966774847518378780610455440048631503153991 (137 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1317580185
Step 1 took 41637ms
Step 2 took 17160ms
********** Factor found in step 2: 40227744167116743814968239980602082684489
Found probable prime factor of 41 digits: 40227744167116743814968239980602082684489
Probable prime cofactor 915413922030944675414456664291581407349247320531268857287934003912298932506589735588007654018319 has 96 digits

2464332120895469767614588103245371597311535360991625240144293815397501456444072235915267193937362260552282073995619<115>

99527687265175893789706111929472133943666848497<47>
24760267103661756029045707789100982338065085853401656611882478004627<68>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3739622536
Step 1 took 62516ms
Step 2 took 42453ms
********** Factor found in step 2: 99527687265175893789706111929472133943666848497
Found probable prime factor of 47 digits: 99527687265175893789706111929472133943666848497
Probable prime cofactor 24760267103661756029045707789100982338065085853401656611882478004627 has 68 digits

GMP-ECM 7.0

113932061970736997587581557416517005635552505156253762148443581749960037060758463992344238887898686853198991279035950816970390529<129>

12835337703664285394256328458269283021199309989059715067855679<62>
8876436647102101601001406513253398110890503640172032878077211177151<67>

Number: 78777_176
N = 113932061970736997587581557416517005635552505156253762148443581749960037060758463992344238887898686853198991279035950816970390529
factor: 12835337703664285394256328458269283021199309989059715067855679
factor: 8876436647102101601001406513253398110890503640172032878077211177151

3968942797398702703386253035958658593316815501761979429096298920881034955876373513938741968475839880289228610895025191196209799617928049405718544721<148>

13771260806347532896208903293373617155354560782672769751018066997<65>
288204751417481946382140757226446202672165786319888330027237048300582740879538562093<84>

Number: 78777_177
N=3968942797398702703386253035958658593316815501761979429096298920881034955876373513938741968475839880289228610895025191196209799617928049405718544721
  ( 148 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=13771260806347532896208903293373617155354560782672769751018066997
 r2=288204751417481946382140757226446202672165786319888330027237048300582740879538562093
Version: 
Total time: 76.11 hours.
Scaled time: 386.02 units (timescale=5.072).
Factorization parameters were as follows:
n: 3968942797398702703386253035958658593316815501761979429096298920881034955876373513938741968475839880289228610895025191196209799617928049405718544721
m: 100000000000000000000000000000000000
deg: 5
c5: 70900
c0: -7
skew: 0.16
# Murphy_E = 6.076e-11
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [5000000, 12900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19802382
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1777844 x 1778092
Total sieving time: 67.49 hours.
Total relation processing time: 3.97 hours.
Matrix solve time: 4.32 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,53,53,2.5,2.5,100000
total time: 76.11 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365480k/51380224k available (5395k kernel code, 1086460k absent, 928284k reserved, 7013k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.95 BogoMIPS (lpj=3399977)
Total of 12 processors activated (81599.44 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

787777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<180>

7508940299118151187474536610987627372234833697<46>

104911977775385200598638268992218948556886253238614615741083886521389178560631129700867653735522633929557573165928311906614522541474641<135>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=821267193
Step 1 took 13813ms
Step 2 took 9639ms
********** Factor found in step 2: 7508940299118151187474536610987627372234833697
Found probable prime factor of 46 digits: 7508940299118151187474536610987627372234833697
Composite cofactor 

104911977775385200598638268992218948556886253238614615741083886521389178560631129700867653735522633929557573165928311906614522541474641<135>

4512206837691121780932333077074921228273505416969725277253805626281<67>
23250702272564313708143112887144435092569228699572138736904020851561<68>

Number: 78777_178
N=104911977775385200598638268992218948556886253238614615741083886521389178560631129700867653735522633929557573165928311906614522541474641
  ( 135 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=4512206837691121780932333077074921228273505416969725277253805626281
 r2=23250702272564313708143112887144435092569228699572138736904020851561
Version: 
Total time: 97.58 hours.
Scaled time: 504.57 units (timescale=5.171).
Factorization parameters were as follows:
n: 104911977775385200598638268992218948556886253238614615741083886521389178560631129700867653735522633929557573165928311906614522541474641
m: 200000000000000000000000000000000000
deg: 5
c5: 88625
c0: -28
skew: 0.20
# Murphy_E = 4.712e-11
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5

Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3000000, 7800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19322362
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1562861 x 1563109
Total sieving time: 91.87 hours.
Total relation processing time: 2.37 hours.
Matrix solve time: 3.05 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,53,53,2.5,2.5,100000
total time: 97.58 hours.
 --------- CPU info (if available) ----------

GGNFS / Msieve v1.39

Core i7-4930K

7395643819749010265173270355068837756276053234989562564346557034433513489021877878578700787912035818648134636538948820865976476261655254887<139>

28132864209910783940084591254371095827<38>

262882718395364679632396261267393184251988824917414425224500041984928853292634294748363069789530882781<102>

Run 343 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=479782106
Step 1 took 42279ms
Step 2 took 15090ms
********** Factor found in step 2: 28132864209910783940084591254371095827
Found probable prime factor of 38 digits: 28132864209910783940084591254371095827
Composite cofactor 262882718395364679632396261267393184251988824917414425224500041984928853292634294748363069789530882781 has 102 digits

GMP-ECM 6.4.4

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

262882718395364679632396261267393184251988824917414425224500041984928853292634294748363069789530882781<102>

40499972654977003538438417166401622746828334311<47>
6490935700991375106046792345668149582414418878977039771<55>

N=262882718395364679632396261267393184251988824917414425224500041984928853292634294748363069789530882781
  ( 102 digits)
Divisors found:
 r1=40499972654977003538438417166401622746828334311 (pp47)
 r2=6490935700991375106046792345668149582414418878977039771 (pp55)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 3.52 hours.
Scaled time: 6.91 units (timescale=1.963).
Factorization parameters were as follows:
n: 262882718395364679632396261267393184251988824917414425224500041984928853292634294748363069789530882781
skew: 1676950.26
c0: 9133028984891426986904852025
c1: -61824844289265940329528
c2: 45121045090725121
c3: 32980967210
c4: 6552
Y0: -2516790048974218862717774
Y1: 225299928241
rlim: 2080000
alim: 2080000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 2080000/2080000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1040000, 1440001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 270814 x 271047
Total sieving time: 3.31 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,101,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2080000,2080000,26,26,52,52,2.5,2.5,100000
total time: 3.52 hours.
 --------- CPU info (if available) ----------

2857225714107592805343728077461134521477959456712022488997528759009743512330314282242402570584428852485544142165593<115>

1889316979252002869487359612397690152109414462609451<52>
1512306164336062589520409893410988566845039735085902520573519243<64>

01/11/15 08:41:11 v1.34.3, 
01/11/15 08:41:11 v1.34.3, ****************************
01/11/15 08:41:11 v1.34.3, Starting factorization of 2857225714107592805343728077461134521477959456712022488997528759009743512330314282242402570584428852485544142165593
01/11/15 08:41:11 v1.34.3, using pretesting plan: none
01/11/15 08:41:11 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/11/15 08:41:11 v1.34.3, ****************************
01/11/15 08:41:11 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C115
01/11/15 08:41:11 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C115
01/11/15 08:41:11 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C115
01/11/15 08:41:11 v1.34.3, final ECM pretested depth: 0.00
01/11/15 08:41:11 v1.34.3, scheduler: switching to sieve method
01/11/15 08:41:11 v1.34.3, nfs: commencing nfs on c115: 2857225714107592805343728077461134521477959456712022488997528759009743512330314282242402570584428852485544142165593
01/11/15 08:41:11 v1.34.3, nfs: commencing poly selection with 8 threads
01/11/15 08:41:11 v1.34.3, nfs: setting deadline of 850 seconds
01/11/15 08:55:19 v1.34.3, nfs: completed 144 ranges of size 250 in 848.0462 seconds
01/11/15 08:55:19 v1.34.3, nfs: best poly = # norm 6.305216e-11 alpha -6.597105 e 5.430e-10 rroots 5
01/11/15 08:55:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/11/15 09:01:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
[23 lines snipped]
01/11/15 11:21:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/11/15 11:27:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/11/15 11:33:04 v1.34.3, nfs: commencing msieve filtering
01/11/15 11:35:01 v1.34.3, nfs: commencing msieve linear algebra
01/11/15 11:43:04 v1.34.3, nfs: commencing msieve sqrt
01/11/15 11:46:51 v1.34.3, prp64 = 1512306164336062589520409893410988566845039735085902520573519243
01/11/15 11:46:51 v1.34.3, prp52 = 1889316979252002869487359612397690152109414462609451
01/11/15 11:46:51 v1.34.3, NFS elapsed time = 11139.7451 seconds.
01/11/15 11:46:51 v1.34.3, 
01/11/15 11:46:51 v1.34.3, 
01/11/15 11:46:51 v1.34.3, Total factoring time = 11139.7684 seconds
--
Sun Jan 11 11:33:04 2015  
Sun Jan 11 11:33:04 2015  commencing relation filtering
Sun Jan 11 11:33:04 2015  estimated available RAM is 15987.3 MB
Sun Jan 11 11:33:04 2015  commencing duplicate removal, pass 1
Sun Jan 11 11:33:36 2015  found 1061240 hash collisions in 10251336 relations
Sun Jan 11 11:33:46 2015  added 62616 free relations
Sun Jan 11 11:33:46 2015  commencing duplicate removal, pass 2
Sun Jan 11 11:33:54 2015  found 481239 duplicates and 9832713 unique relations
Sun Jan 11 11:33:54 2015  memory use: 41.3 MB
Sun Jan 11 11:33:54 2015  reading ideals above 100000
Sun Jan 11 11:33:54 2015  commencing singleton removal, initial pass
Sun Jan 11 11:34:37 2015  memory use: 344.5 MB
Sun Jan 11 11:34:37 2015  reading all ideals from disk
Sun Jan 11 11:34:37 2015  memory use: 341.1 MB
Sun Jan 11 11:34:38 2015  keeping 10691493 ideals with weight <= 200, target excess is 51089
Sun Jan 11 11:34:38 2015  commencing in-memory singleton removal
Sun Jan 11 11:34:39 2015  begin with 9832713 relations and 10691493 unique ideals
Sun Jan 11 11:34:42 2015  reduce to 3654586 relations and 3373534 ideals in 18 passes
Sun Jan 11 11:34:42 2015  max relations containing the same ideal: 106
Sun Jan 11 11:34:43 2015  removing 773462 relations and 662568 ideals in 110894 cliques
Sun Jan 11 11:34:43 2015  commencing in-memory singleton removal
Sun Jan 11 11:34:43 2015  begin with 2881124 relations and 3373534 unique ideals
Sun Jan 11 11:34:44 2015  reduce to 2745155 relations and 2569328 ideals in 12 passes
Sun Jan 11 11:34:44 2015  max relations containing the same ideal: 86
Sun Jan 11 11:34:45 2015  removing 584998 relations and 474104 ideals in 110894 cliques
Sun Jan 11 11:34:45 2015  commencing in-memory singleton removal
Sun Jan 11 11:34:45 2015  begin with 2160157 relations and 2569328 unique ideals
Sun Jan 11 11:34:46 2015  reduce to 2053419 relations and 1983968 ideals in 10 passes
Sun Jan 11 11:34:46 2015  max relations containing the same ideal: 70
Sun Jan 11 11:34:47 2015  removing 89535 relations and 79348 ideals in 10187 cliques
Sun Jan 11 11:34:47 2015  commencing in-memory singleton removal
Sun Jan 11 11:34:47 2015  begin with 1963884 relations and 1983968 unique ideals
Sun Jan 11 11:34:47 2015  reduce to 1961154 relations and 1901877 ideals in 7 passes
Sun Jan 11 11:34:47 2015  max relations containing the same ideal: 68
Sun Jan 11 11:34:47 2015  relations with 0 large ideals: 152
Sun Jan 11 11:34:47 2015  relations with 1 large ideals: 678
Sun Jan 11 11:34:47 2015  relations with 2 large ideals: 9294
Sun Jan 11 11:34:47 2015  relations with 3 large ideals: 65422
Sun Jan 11 11:34:47 2015  relations with 4 large ideals: 241281
Sun Jan 11 11:34:47 2015  relations with 5 large ideals: 493432
Sun Jan 11 11:34:47 2015  relations with 6 large ideals: 579494
Sun Jan 11 11:34:47 2015  relations with 7+ large ideals: 571401
Sun Jan 11 11:34:47 2015  commencing 2-way merge
Sun Jan 11 11:34:48 2015  reduce to 1102116 relation sets and 1042838 unique ideals
Sun Jan 11 11:34:48 2015  commencing full merge
Sun Jan 11 11:34:57 2015  memory use: 118.8 MB
Sun Jan 11 11:34:57 2015  found 548665 cycles, need 541038
Sun Jan 11 11:34:57 2015  weight of 541038 cycles is about 38002475 (70.24/cycle)
Sun Jan 11 11:34:57 2015  distribution of cycle lengths:
Sun Jan 11 11:34:57 2015  1 relations: 60749
Sun Jan 11 11:34:57 2015  2 relations: 57522
Sun Jan 11 11:34:57 2015  3 relations: 58648
Sun Jan 11 11:34:57 2015  4 relations: 53702
Sun Jan 11 11:34:57 2015  5 relations: 50006
Sun Jan 11 11:34:57 2015  6 relations: 43582
Sun Jan 11 11:34:57 2015  7 relations: 38982
Sun Jan 11 11:34:57 2015  8 relations: 34227
Sun Jan 11 11:34:57 2015  9 relations: 29757
Sun Jan 11 11:34:57 2015  10+ relations: 113863
Sun Jan 11 11:34:57 2015  heaviest cycle: 21 relations
Sun Jan 11 11:34:57 2015  commencing cycle optimization
Sun Jan 11 11:34:58 2015  start with 3341360 relations
Sun Jan 11 11:35:00 2015  pruned 67353 relations
Sun Jan 11 11:35:00 2015  memory use: 113.0 MB
Sun Jan 11 11:35:00 2015  distribution of cycle lengths:
Sun Jan 11 11:35:00 2015  1 relations: 60749
Sun Jan 11 11:35:00 2015  2 relations: 58693
Sun Jan 11 11:35:00 2015  3 relations: 60365
Sun Jan 11 11:35:00 2015  4 relations: 54810
Sun Jan 11 11:35:00 2015  5 relations: 51044
Sun Jan 11 11:35:00 2015  6 relations: 44145
Sun Jan 11 11:35:00 2015  7 relations: 39339
Sun Jan 11 11:35:00 2015  8 relations: 34288
Sun Jan 11 11:35:00 2015  9 relations: 29648
Sun Jan 11 11:35:00 2015  10+ relations: 107957
Sun Jan 11 11:35:00 2015  heaviest cycle: 21 relations
Sun Jan 11 11:35:01 2015  RelProcTime: 117
Sun Jan 11 11:35:01 2015  
Sun Jan 11 11:35:01 2015  commencing linear algebra
Sun Jan 11 11:35:01 2015  read 541038 cycles
Sun Jan 11 11:35:01 2015  cycles contain 1907927 unique relations
Sun Jan 11 11:35:13 2015  read 1907927 relations
Sun Jan 11 11:35:14 2015  using 20 quadratic characters above 134217510
Sun Jan 11 11:35:20 2015  building initial matrix
Sun Jan 11 11:35:30 2015  memory use: 241.5 MB
Sun Jan 11 11:35:30 2015  read 541038 cycles
Sun Jan 11 11:35:30 2015  matrix is 540861 x 541038 (164.5 MB) with weight 52960653 (97.89/col)
Sun Jan 11 11:35:30 2015  sparse part has weight 36632215 (67.71/col)
Sun Jan 11 11:35:32 2015  filtering completed in 2 passes
Sun Jan 11 11:35:32 2015  matrix is 540159 x 540336 (164.4 MB) with weight 52931451 (97.96/col)
Sun Jan 11 11:35:32 2015  sparse part has weight 36625145 (67.78/col)
Sun Jan 11 11:35:33 2015  matrix starts at (0, 0)
Sun Jan 11 11:35:34 2015  matrix is 540159 x 540336 (164.4 MB) with weight 52931451 (97.96/col)
Sun Jan 11 11:35:34 2015  sparse part has weight 36625145 (67.78/col)
Sun Jan 11 11:35:34 2015  saving the first 48 matrix rows for later
Sun Jan 11 11:35:34 2015  matrix includes 64 packed rows
Sun Jan 11 11:35:34 2015  matrix is 540111 x 540336 (158.4 MB) with weight 42038052 (77.80/col)
Sun Jan 11 11:35:34 2015  sparse part has weight 36126348 (66.86/col)
Sun Jan 11 11:35:34 2015  using block size 65536 for processor cache size 8192 kB
Sun Jan 11 11:35:35 2015  commencing Lanczos iteration (8 threads)
Sun Jan 11 11:35:35 2015  memory use: 151.0 MB
Sun Jan 11 11:35:37 2015  linear algebra at 0.6%, ETA 0h 5m
Sun Jan 11 11:43:04 2015  lanczos halted after 8542 iterations (dim = 540111)
Sun Jan 11 11:43:04 2015  recovered 31 nontrivial dependencies
Sun Jan 11 11:43:04 2015  BLanczosTime: 483
Sun Jan 11 11:43:04 2015  
Sun Jan 11 11:43:04 2015  commencing square root phase
Sun Jan 11 11:43:04 2015  reading relations for dependency 1
Sun Jan 11 11:43:04 2015  read 270041 cycles
Sun Jan 11 11:43:04 2015  cycles contain 953316 unique relations
Sun Jan 11 11:43:13 2015  read 953316 relations
Sun Jan 11 11:43:15 2015  multiplying 953316 relations
Sun Jan 11 11:43:44 2015  multiply complete, coefficients have about 39.37 million bits
Sun Jan 11 11:43:44 2015  initial square root is modulo 449129
Sun Jan 11 11:44:20 2015  GCD is N, no factor found
Sun Jan 11 11:44:20 2015  reading relations for dependency 2
Sun Jan 11 11:44:20 2015  read 270126 cycles
Sun Jan 11 11:44:20 2015  cycles contain 954040 unique relations
Sun Jan 11 11:44:29 2015  read 954040 relations
Sun Jan 11 11:44:31 2015  multiplying 954040 relations
Sun Jan 11 11:44:59 2015  multiply complete, coefficients have about 39.39 million bits
Sun Jan 11 11:44:59 2015  initial square root is modulo 452539
Sun Jan 11 11:45:36 2015  GCD is N, no factor found
Sun Jan 11 11:45:36 2015  reading relations for dependency 3
Sun Jan 11 11:45:36 2015  read 270232 cycles
Sun Jan 11 11:45:36 2015  cycles contain 952956 unique relations
Sun Jan 11 11:45:45 2015  read 952956 relations
Sun Jan 11 11:45:47 2015  multiplying 952956 relations
Sun Jan 11 11:46:14 2015  multiply complete, coefficients have about 39.35 million bits
Sun Jan 11 11:46:14 2015  initial square root is modulo 446717
Sun Jan 11 11:46:51 2015  sqrtTime: 227
--
n: 2857225714107592805343728077461134521477959456712022488997528759009743512330314282242402570584428852485544142165593
skew: 189479.80
c0: -49521494847242597870845022400
c1: 1113515535822084202250036
c2: 32175158933377275178
c3: -75526302500148
c4: -863120487
c5: 696
Y0: -21021678033682239877931
Y1: 62082106219
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5

yafu v1.34.3

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

113526441997944886342339005492761129385918387118651940816194202014566180100623352199075040984197478479161085699740698274407652217199036697616869208322084180196230888750547<171>

373301940891443733659876281330902825770873786053122053197874006078720927<72>
304114255947462096128774895542722070382186391783526699757694767550282031803461772718180268965962061<99>

Number: 78777_184
N=113526441997944886342339005492761129385918387118651940816194202014566180100623352199075040984197478479161085699740698274407652217199036697616869208322084180196230888750547
  ( 171 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=373301940891443733659876281330902825770873786053122053197874006078720927
 r2=304114255947462096128774895542722070382186391783526699757694767550282031803461772718180268965962061
Version: 
Total time: 99.83 hours.
Scaled time: 523.49 units (timescale=5.244).
Factorization parameters were as follows:
n: 113526441997944886342339005492761129385918387118651940816194202014566180100623352199075040984197478479161085699740698274407652217199036697616869208322084180196230888750547
m: 10000000000000000000000000000000000000
deg: 5
c5: 709
c0: -70
skew: 0.63
# Murphy_E = 3.78e-11
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3900000, 8400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20923304
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1767553 x 1767800
Total sieving time: 92.84 hours.
Total relation processing time: 2.50 hours.
Matrix solve time: 4.34 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,54,54,2.5,2.5,100000
total time: 99.83 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49368528k/51380224k available (5398k kernel code, 1086460k absent, 925236k reserved, 7010k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.81 BogoMIPS (lpj=3399905)
Total of 12 processors activated (81597.72 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

119019411144201446493310849074668198126300872904568164688816879785212475736542987365219294597000767218599035827291293000647994371611859211930078398657767925178229<162>

193419494806957739608436283958099<33>
615343408186381258655744810100789005936791294504586594608248133956281440068252604189235830837190178889165859423585549176802926871<129>

Input number is 119019411144201446493310849074668198126300872904568164688816879785212475736542987365219294597000767218599035827291293000647994371611859211930078398657767925178229 (162 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2411302865
Step 1 took 11666ms
Step 2 took 9768ms
********** Factor found in step 2: 193419494806957739608436283958099
Found probable prime factor of 33 digits: 193419494806957739608436283958099
Probable prime cofactor 615343408186381258655744810100789005936791294504586594608248133956281440068252604189235830837190178889165859423585549176802926871 has 129 digits

7942791743499943602675088947156595677956545464937634414662609065130711275101862347776619469189707881181611963759101364937196238510502600318190401977476027180005479615778773<172>

67334259677553938888419946282377461314139361<44>
117960630762644222396254119675440077463044735592724652677133707271741779206106778866066846208320663888489294144520880294283986293<129>

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 7942791743499943602675088947156595677956545464937634414662609065130711275101862347776619469189707881181611963759101364937196238510502600318190401977476027180005479615778773 (172 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3710794789
Step 1 took 29642ms
Step 2 took 10088ms
********** Factor found in step 2: 67334259677553938888419946282377461314139361
Found probable prime factor of 44 digits: 67334259677553938888419946282377461314139361
Probable prime cofactor 117960630762644222396254119675440077463044735592724652677133707271741779206106778866066846208320663888489294144520880294283986293 has 129 digits

Core i7-4930K

948113494961616809131290859735528964117543061770037365351478449533766334974032047807910453227869339521696034941643153353573369709933870602991252236789363046626247<162>

9468099442772033309254628241566102164555212027316128090203<58>
100137678178423507316826466646784242499295791300692377428746462884396208623559138981415785488728376262149<105>

948113494961616809131290859735528964117543061770037365351478449533766334974032047807910453227869339521696034941643153353573369709933870602991252236789363046626247=9468099442772033309254628241566102164555212027316128090203*100137678178423507316826466646784242499295791300692377428746462884396208623559138981415785488728376262149

cado polynomial
n: 948113494961616809131290859735528964117543061770037365351478449533766334974032047807910453227869339521696034941643153353573369709933870602991252236789363046626247
skew: 0.31
type: snfs
c0: -35
c5: 11344
Y0: 50000000000000000000000000000000000000
Y1: -1
# f(x) = 11344*x^5-35
# g(x) = -x+50000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11300000
tasks.lim1 = 11300000
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.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 100137678178423507316826466646784242499295791300692377428746462884396208623559138981415785488728376262149 9468099442772033309254628241566102164555212027316128090203
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.98/2.09794
Info:Generate Free Relations: Total cpu/real time for freerel: 99.52/25.6758
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28715983
Info:Lattice Sieving: Average J: 1896.44 for 3141558 special-q, max bucket fill -bkmult 1.0,1s:1.079070
Info:Lattice Sieving: Total time: 731113s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 58.56/123.25
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 122.59999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 494.74/459.903
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 397.59999999999997s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 422.83/431.386
Info:Filtering - Merging: Merged matrix has 2448388 rows and total weight 419936256 (171.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 345.72/100.02
Info:Filtering - Merging: Total cpu/real time for replay: 94.76/82.4705
Info:Linear Algebra: Total cpu/real time for bwc: 104430/26830.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 17089.76, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (76800 iterations)
Info:Linear Algebra: Lingen CPU time 500.69, WCT time 145.1
Info:Linear Algebra: Mksol: WCT time 9325.25, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (38400 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 87.12/37.2998
Info:Square Root: Total cpu/real time for sqrt: 747.8/232.521
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.45577e+06/393825
Info:root: Cleaning up computation data in /tmp/cado.n31qs41d
100137678178423507316826466646784242499295791300692377428746462884396208623559138981415785488728376262149 9468099442772033309254628241566102164555212027316128090203

cado-nfs-3.0.0

Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

12438093603588791901368636364500028079374364991905528997629588787804892156755228134454651711418575124518931640764008829398097123175332732564882800290784820750840889899579478039244963<182>

518424671504931570855305552578813292227001285523851801234275188219588470942929244771626159<90>
23992094294976995878533888780111872696621047468796979157607682150900446014945325966987182157<92>

p90 factor: 518424671504931570855305552578813292227001285523851801234275188219588470942929244771626159
p92 factor: 23992094294976995878533888780111872696621047468796979157607682150900446014945325966987182157


Msieve v. 1.54 (SVN 1032M)
random seeds: d94174b8 b1548334
factoring 12438093603588791901368636364500028079374364991905528997629588787804892156755228134454651711418575124518931640764008829398097123175332732564882800290784820750840889899579478039244963 (182 digits)
searching for 15-digit factors
commencing number field sieve (182-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -7
A1: 0
A2: 0
A3: 0
A4: 0
A5: 709
skew 1.00, size 1.497e-13, alpha 0.742, combined = 2.577e-11 rroots = 1

commencing relation filtering
estimated available RAM is 48213.5 MB
commencing duplicate removal, pass 1
found 2416988 hash collisions in 37699290 relations
added 727244 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 38426534 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1260.1 MB
keeping 40600927 ideals with weight <= 200, target excess is 205626
commencing in-memory singleton removal
begin with 38426534 relations and 40600927 unique ideals
reduce to 15178818 relations and 13468699 ideals in 15 passes
max relations containing the same ideal: 109
removing 2069929 relations and 1669929 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 13108889 relations and 13468699 unique ideals
reduce to 12876445 relations and 11558331 ideals in 9 passes
max relations containing the same ideal: 102
removing 1654682 relations and 1254682 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11221763 relations and 11558331 unique ideals
reduce to 11044642 relations and 10120896 ideals in 8 passes
max relations containing the same ideal: 90
removing 1554694 relations and 1154694 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9489948 relations and 10120896 unique ideals
reduce to 9303404 relations and 8773351 ideals in 7 passes
max relations containing the same ideal: 80
removing 1202012 relations and 910486 ideals in 291526 cliques
commencing in-memory singleton removal
begin with 8101392 relations and 8773351 unique ideals
reduce to 7968147 relations and 7725817 ideals in 8 passes
max relations containing the same ideal: 72
relations with 0 large ideals: 4409
relations with 1 large ideals: 10960
relations with 2 large ideals: 91550
relations with 3 large ideals: 420089
relations with 4 large ideals: 1154413
relations with 5 large ideals: 1974964
relations with 6 large ideals: 2198049
relations with 7+ large ideals: 2113713
commencing 2-way merge
reduce to 4935492 relation sets and 4693162 unique ideals
commencing full merge
memory use: 544.5 MB
found 2288053 cycles, need 2261362
weight of 2261362 cycles is about 203889557 (90.16/cycle)
distribution of cycle lengths:
1 relations: 185328
2 relations: 187485
3 relations: 195039
4 relations: 192828
5 relations: 189209
6 relations: 175747
7 relations: 167220
8 relations: 151326
9 relations: 136477
10+ relations: 680703
heaviest cycle: 26 relations
commencing cycle optimization
start with 16785650 relations
pruned 579589 relations
memory use: 495.3 MB
distribution of cycle lengths:
1 relations: 185328
2 relations: 192081
3 relations: 202569
4 relations: 199387
5 relations: 196480
6 relations: 181997
7 relations: 172637
8 relations: 155229
9 relations: 139354
10+ relations: 636300
heaviest cycle: 26 relations
RelProcTime: 742
elapsed time 00:12:25


Msieve v. 1.54 (SVN 1032M)
random seeds: bf8207a0 7c966ce2
factoring 12438093603588791901368636364500028079374364991905528997629588787804892156755228134454651711418575124518931640764008829398097123175332732564882800290784820750840889899579478039244963 (182 digits)
searching for 15-digit factors
commencing number field sieve (182-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -7
A1: 0
A2: 0
A3: 0
A4: 0
A5: 709
skew 1.00, size 1.497e-13, alpha 0.742, combined = 2.577e-11 rroots = 1

commencing linear algebra
read 2261362 cycles
cycles contain 7771827 unique relations
read 7771827 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 953.9 MB
read 2261362 cycles
matrix is 2261182 x 2261362 (830.8 MB) with weight 244903037 (108.30/col)
sparse part has weight 192908367 (85.31/col)
filtering completed in 2 passes
matrix is 2260383 x 2260562 (830.7 MB) with weight 244871935 (108.32/col)
sparse part has weight 192896419 (85.33/col)
matrix starts at (0, 0)
matrix is 2260383 x 2260562 (830.7 MB) with weight 244871935 (108.32/col)
sparse part has weight 192896419 (85.33/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2260335 x 2260562 (791.6 MB) with weight 201361148 (89.08/col)
sparse part has weight 184899232 (81.79/col)
using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
commencing Lanczos iteration (8 threads)
memory use: 752.0 MB
linear algebra at 0.1%, ETA 2h 4m
checkpointing every 1220000 dimensions
lanczos halted after 35748 iterations (dim = 2260334)
recovered 36 nontrivial dependencies
BLanczosTime: 6881
elapsed time 01:54:43


Msieve v. 1.54 (SVN 1032M)
random seeds: 1ca9b6ec be4f4553
factoring 12438093603588791901368636364500028079374364991905528997629588787804892156755228134454651711418575124518931640764008829398097123175332732564882800290784820750840889899579478039244963 (182 digits)
searching for 15-digit factors
commencing number field sieve (182-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -7
A1: 0
A2: 0
A3: 0
A4: 0
A5: 709
skew 1.00, size 1.497e-13, alpha 0.742, combined = 2.577e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1129722 cycles
cycles contain 3883992 unique relations
read 3883992 relations
multiplying 3883992 relations
multiply complete, coefficients have about 120.51 million bits
initial square root is modulo 446597681
GCD is N, no factor found
reading relations for dependency 2
read 1129817 cycles
cycles contain 3885906 unique relations
read 3885906 relations
multiplying 3885906 relations
multiply complete, coefficients have about 120.57 million bits
initial square root is modulo 451003951
GCD is 1, no factor found
reading relations for dependency 3
read 1129399 cycles
cycles contain 3880756 unique relations
read 3880756 relations
multiplying 3880756 relations
multiply complete, coefficients have about 120.41 million bits
initial square root is modulo 439325641
sqrtTime: 924
p90 factor: 518424671504931570855305552578813292227001285523851801234275188219588470942929244771626159
p92 factor: 23992094294976995878533888780111872696621047468796979157607682150900446014945325966987182157
elapsed time 00:15:25

CADO-NFS/Msieve

130721715936024594123002099384806474649922155096413717840612798237136707806277820352679867095642035492512804802961380642398115560929280368746559509476960412619864743064397464160783<180>

87430589128402459187964228098863112313090195756162932796443329929217909<71>
1495148519976730881988508551688463778033744733104678704530884335823951141359396565030650034886619459964870387<109>

Number: n
N=130721715936024594123002099384806474649922155096413717840612798237136707806277820352679867095642035492512804802961380642398115560929280368746559509476960412619864743064397464160783  ( 180 digits)
SNFS difficulty: 194 digits.
Divisors found:

Mon Mar  1 19:24:07 2021  p71 factor: 87430589128402459187964228098863112313090195756162932796443329929217909
Mon Mar  1 19:24:07 2021  p109 factor: 1495148519976730881988508551688463778033744733104678704530884335823951141359396565030650034886619459964870387
Mon Mar  1 19:24:07 2021  elapsed time 00:57:33 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.323).
Factorization parameters were as follows:
#
# N = 709x10^192-7 = 787(192)
#
n: 130721715936024594123002099384806474649922155096413717840612798237136707806277820352679867095642035492512804802961380642398115560929280368746559509476960412619864743064397464160783
m: 100000000000000000000000000000000
deg: 6
c6: 709
c0: -7
skew: 0.46
# Murphy_E = 1.66e-11
type: snfs
lss: 1
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4035285 hash collisions in 29630288 relations (27635194 unique)
Msieve: matrix is 1490756 x 1490982 (521.8 MB)

Sieving start time : 2021/03/01 13:35:02
Sieving end time  : 2021/03/01 18:25:59

Total sieving time: 4hrs 50min 57secs.

Total relation processing time: 0hrs 41min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 16sec.

Prototype def-par.txt line would be:
snfs,194,6,0,0,0,0,0,0,0,0,12400000,12400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116873] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.153556] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798332)
[    0.152039] smpboot: Total of 16 processors activated (102386.65 BogoMIPS)

8043840305128835502182397650473499381183510944261344994352626730791887799390749086821227236339389092378134812483131557912981565665528246284373788201846148387<157>

14675840100316541351671356209253054493455687127929003300331593517151329<71>
548100841256463329894066460118526604712858500913334904636932004629060588763490000793603<87>

8043840305128835502182397650473499381183510944261344994352626730791887799390749086821227236339389092378134812483131557912981565665528246284373788201846148387=14675840100316541351671356209253054493455687127929003300331593517151329*548100841256463329894066460118526604712858500913334904636932004629060588763490000793603

cado polynomial
n: 8043840305128835502182397650473499381183510944261344994352626730791887799390749086821227236339389092378134812483131557912981565665528246284373788201846148387
skew: 0.10
type: snfs
c0: -7
c5: 709000
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 709000*x^5-7
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12900000
tasks.lim1 = 12900000
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: 548100841256463329894066460118526604712858500913334904636932004629060588763490000793603 14675840100316541351671356209253054493455687127929003300331593517151329
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.54/2.21162
Info:Generate Free Relations: Total cpu/real time for freerel: 103.65/26.886
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 35431984
Info:Lattice Sieving: Average J: 1893.74 for 8652327 special-q, max bucket fill -bkmult 1.0,1s:1.099070
Info:Lattice Sieving: Total time: 1.92889e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 72.96/192.622
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 191.29999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 639.39/607.869
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 525.3s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 558.17/630.891
Info:Filtering - Merging: Merged matrix has 3500091 rows and total weight 599665743 (171.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 477.14/139.083
Info:Filtering - Merging: Total cpu/real time for replay: 138.13/121.766
Info:Linear Algebra: Total cpu/real time for bwc: 228668/58449.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 37432.87, iteration CPU time 0.32, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (109568 iterations)
Info:Linear Algebra: Lingen CPU time 779.57, WCT time 224.5
Info:Linear Algebra: Mksol: WCT time 20345.04, iteration CPU time 0.35, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (54784 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 122.49/53.332
Info:Square Root: Total cpu/real time for sqrt: 1244.19/383.539
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.8206e+06/172645
Info:root: Cleaning up computation data in /tmp/cado.v2h3gmwz
548100841256463329894066460118526604712858500913334904636932004629060588763490000793603 14675840100316541351671356209253054493455687127929003300331593517151329

cado-nfs-3.0.0

6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

10158920994486464325395960172847202884583113388397757711779110266665314002839053062708951481309826011136442112134211020172033043448442285714628842572017862914824052196597<170>

156871765319073220706107734232977657891609677<45>

64759397421349054236620014507597949774048969059596217884075007606677900133813877614544343759266645671402545657075941325061961<125>

Input number is 10158920994486464325395960172847202884583113388397757711779110266665314002839053062708951481309826011136442112134211020172033043448442285714628842572017862914824052196597 (170 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1499255929
Step 1 took 11744ms
Step 2 took 10155ms
********** Factor found in step 2: 156871765319073220706107734232977657891609677
Found probable prime factor of 45 digits: 156871765319073220706107734232977657891609677
Composite cofactor 64759397421349054236620014507597949774048969059596217884075007606677900133813877614544343759266645671402545657075941325061961 has 125 digits

64759397421349054236620014507597949774048969059596217884075007606677900133813877614544343759266645671402545657075941325061961<125>

1787290401089914747855548295405794775230809171743914997<55>
36233282169398921203281042277888658835595761428555372045457522803611013<71>

Number: 78777_194
N = 64759397421349054236620014507597949774048969059596217884075007606677900133813877614544343759266645671402545657075941325061961 (125 digits)
Divisors found:
r1=1787290401089914747855548295405794775230809171743914997 (pp55)
r2=36233282169398921203281042277888658835595761428555372045457522803611013 (pp71)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 26.46 hours.
Factorization parameters were as follows:
# Murphy_E = 1.44e-10, selected by Maksym Voznyy
n: 64759397421349054236620014507597949774048969059596217884075007606677900133813877614544343759266645671402545657075941325061961
Y0: -2384548537374145189441083
Y1: 8155069315651
c0: -4829365881505244065834067981950
c1: 70547748015199911418833741
c2: 1411320022731540638813
c3: 1142734112178315
c4: -4140689644
c5: 840
skew: 545659.63
type: gnfs
# selected mechanically
rlim: 7100000
alim: 7100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7100000/7100000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10595481
Relations: 1663480 relations
Pruned matrix : 985898 x 986124
Polynomial selection time: 0.00 hours.
Total sieving time: 25.79 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.58 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: gnfs,124,5,65,2000,1e-05,0.28,250,20,50000,3600,7100000,7100000,27,27,52,52,2.5,2.5,100000
total time: 26.46 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

1200642826540133476258939200734271832987026622434239827134527879807016563452025936594543425506801667013820093240330083638574334015786167036681416453717674512334107231459890231779948756767375029<193>

617822109914238062810165765700200496338747<42>
1943347133864792716938369096855941215048600837143072312994977048431332921114556813012181710633544001112911932448503814311058659672535286646486732915407<151>

Number: n
N=1200642826540133476258939200734271832987026622434239827134527879807016563452025936594543425506801667013820093240330083638574334015786167036681416453717674512334107231459890231779948756767375029  ( 193 digits)
SNFS difficulty: 197 digits.
Divisors found:

Thu Feb 25 19:32:57 2021  p42 factor: 617822109914238062810165765700200496338747
Thu Feb 25 19:32:57 2021  p151 factor: 1943347133864792716938369096855941215048600837143072312994977048431332921114556813012181710633544001112911932448503814311058659672535286646486732915407
Thu Feb 25 19:32:57 2021  elapsed time 01:18:34 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 709x10^195-7 = 787(195)
#
n: 1200642826540133476258939200734271832987026622434239827134527879807016563452025936594543425506801667013820093240330083638574334015786167036681416453717674512334107231459890231779948756767375029
m: 1000000000000000000000000000000000000000
deg: 5
c5: 709
c0: -7
skew: 0.40
# Murphy_E = 1.618e-11
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7937230 hash collisions in 48339123 relations (41681927 unique)
Msieve: matrix is 1649082 x 1649306 (556.2 MB)

Sieving start time: 2021/02/25 11:35:34
Sieving end time  : 2021/02/25 18:12:50

Total sieving time: 6hrs 37min 16secs.

Total relation processing time: 0hrs 51min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 12min 7sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116873] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.153556] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798332)
[    0.152039] smpboot: Total of 16 processors activated (102386.65 BogoMIPS)

2406699288092140735131290352690154783173743179299705709778206452116754957451703686713106691799134143118194086936016081510463278020792686333060577077034190142860787<163>

1842463607351220911918324876094131495989168241<46>
1306239796807754261662582467221663695010318410580146332632951056667428841666503018007319084468118464281514774206099107<118>

2406699288092140735131290352690154783173743179299705709778206452116754957451703686713106691799134143118194086936016081510463278020792686333060577077034190142860787=1842463607351220911918324876094131495989168241*1306239796807754261662582467221663695010318410580146332632951056667428841666503018007319084468118464281514774206099107

cado polynomial
n: 2406699288092140735131290352690154783173743179299705709778206452116754957451703686713106691799134143118194086936016081510463278020792686333060577077034190142860787
skew: 0.25
type: snfs
c0: -7
c5: 7090
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 7090*x^5-7
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14400000
tasks.lim1 = 14400000
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: 1842463607351220911918324876094131495989168241 1306239796807754261662582467221663695010318410580146332632951056667428841666503018007319084468118464281514774206099107
Info:Square Root: Total cpu/real time for sqrt: 1086.59/338.73
Info:Filtering - Singleton removal: Total cpu/real time for purge: 572.19/636.673
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 35259346
Info:Lattice Sieving: Average J: 1893.94 for 8289201 special-q, max bucket fill -bkmult 1.0,1s:1.131160
Info:Lattice Sieving: Total time: 2.12267e+06s
Info:Linear Algebra: Total cpu/real time for bwc: 230750/59101.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 148618.74, WCT time 37938.3, iteration CPU time 0.33, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (110080 iterations)
Info:Linear Algebra: Lingen CPU time 767.7, WCT time 194.84
Info:Linear Algebra: Mksol: CPU time 79961.66,  WCT time 20438.98, iteration CPU time 0.35, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (55296 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 6.08/2.78383
Info:Generate Free Relations: Total cpu/real time for freerel: 121.31/32.7096
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 155.57/192.039
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 190.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 698.62/712.442
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 560.8000000000001s
Info:Filtering - Merging: Merged matrix has 3517006 rows and total weight 600978017 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1021.05/281.089
Info:Filtering - Merging: Total cpu/real time for replay: 138.31/120.942
Info:Quadratic Characters: Total cpu/real time for characters: 120.2/51.1756
Info:Square Root: Total cpu/real time for sqrt: 1086.59/338.73
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 4.40444e+06/122435
Info:root: Cleaning up computation data in /tmp/cado.9tmpc2fw
1842463607351220911918324876094131495989168241 1306239796807754261662582467221663695010318410580146332632951056667428841666503018007319084468118464281514774206099107

cado-nfs-3.0.0

6 x 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)

2022123585076606969170870163894171286321611802809254237211545818128091393862332679590643177010425268673057978203884462917441368155077643776835939358858989313106181495080065750099739<181>

24679632050464937166107880415167761636175957480977866745679250380810362773<74>
81934916247607199695078968788970156601541956422982585880788139061396659368265122123733969868370340308418543<107>

Number: n
N=2022123585076606969170870163894171286321611802809254237211545818128091393862332679590643177010425268673057978203884462917441368155077643776835939358858989313106181495080065750099739  ( 181 digits)
SNFS difficulty: 199 digits.
Divisors found:

Thu Apr  1 15:34:06 2021  p74 factor: 24679632050464937166107880415167761636175957480977866745679250380810362773
Thu Apr  1 15:34:06 2021  p107 factor: 81934916247607199695078968788970156601541956422982585880788139061396659368265122123733969868370340308418543
Thu Apr  1 15:34:06 2021  elapsed time 02:04:46 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 709x10^197-7 = 787(197)
#
n: 2022123585076606969170870163894171286321611802809254237211545818128091393862332679590643177010425268673057978203884462917441368155077643776835939358858989313106181495080065750099739
m: 1000000000000000000000000000000000000000
deg: 5
c5: 70900
c0: -7
skew: 0.16
# Murphy_E = 9.189e-12
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 34700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4816017 hash collisions in 29454590 relations (25897230 unique)
Msieve: matrix is 2341379 x 2341604 (815.4 MB)

Sieving start time : 2021/04/01 01:50:59
Sieving end time  : 2021/04/01 13:28:49

Total sieving time: 11hrs 37min 50secs.

Total relation processing time: 1hrs 43min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 12min 26sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,15000000,15000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119768] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153507] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.05 BogoMIPS (lpj=12798104)
[    0.152038] smpboot: Total of 16 processors activated (102384.83 BogoMIPS)

105661060551713388786045715778859045261204482021337757286816154534999383321149020954553258663518502795574717706214562072733870975773523915432951209914044306493260753013951<171>

145107266089834681244865058046651360835814616615559356707<57>
728158302467772494507968580658388292886854448340937317756162015001768129941193524214102900662319304652837009888693<114>

Number: n
N=105661060551713388786045715778859045261204482021337757286816154534999383321149020954553258663518502795574717706214562072733870975773523915432951209914044306493260753013951  ( 171 digits)
SNFS difficulty: 200 digits.
Divisors found:

Mon Apr 12 04:35:11 2021  p57 factor: 145107266089834681244865058046651360835814616615559356707
Mon Apr 12 04:35:11 2021  p114 factor: 728158302467772494507968580658388292886854448340937317756162015001768129941193524214102900662319304652837009888693
Mon Apr 12 04:35:11 2021  elapsed time 01:35:15 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 709x10^198-7 = 787(198)
#
n: 105661060551713388786045715778859045261204482021337757286816154534999383321149020954553258663518502795574717706214562072733870975773523915432951209914044306493260753013951
m: 1000000000000000000000000000000000
deg: 6
c6: 709
c0: -7
skew: 0.46
# Murphy_E = 1.057e-11
type: snfs
lss: 1
rlim: 15600000
alim: 15600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15600000/15600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 27800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5972064 hash collisions in 47840516 relations (44202462 unique)
Msieve: matrix is 2000941 x 2001166 (703.2 MB)

Sieving start time : 2021/04/11 18:46:50
Sieving end time  : 2021/04/12 02:59:09

Total sieving time: 8hrs 12min 19secs.

Total relation processing time: 1hrs 19min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 58sec.

Prototype def-par.txt line would be:
snfs,200,6,0,0,0,0,0,0,0,0,15600000,15600000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119768] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153507] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.05 BogoMIPS (lpj=12798104)
[    0.152038] smpboot: Total of 16 processors activated (102384.83 BogoMIPS)

2917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251<202>

18678794893286610333584708669280651882264562048952871334552829462077<68>
156203625015427767699271863489184671604748209451817964722775169062553876622209786298139479942312496757308973824255279209034759933311263<135>

Number: n
N=2917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251  ( 202 digits)
SNFS difficulty: 203 digits.
Divisors found:

Fri Sep  4 07:56:02 2020  p68 factor: 18678794893286610333584708669280651882264562048952871334552829462077
Fri Sep  4 07:56:02 2020  p135 factor: 156203625015427767699271863489184671604748209451817964722775169062553876622209786298139479942312496757308973824255279209034759933311263
Fri Sep  4 07:56:02 2020  elapsed time 03:02:02 (Msieve 1.54 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.943).
Factorization parameters were as follows:
#
# N = 709x10^201-7 = 787(201)
#
n: 2917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251
m: 10000000000000000000000000000000000000000
deg: 5
c5: 7090
c0: -7
skew: 0.25
# Murphy_E = 6.606e-12
type: snfs
lss: 1
rlim: 17500000
alim: 17500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17500000/17500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41550000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9299327 hash collisions in 58623521 relations (51224130 unique)
Msieve: matrix is 2516053 x 2516278 (874.8 MB)

Sieving start time: 2020/09/03 12:11:44
Sieving end time  : 2020/09/04 04:53:01

Total sieving time: 16hrs 41min 17secs.

Total relation processing time: 2hrs 28min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 16min 20sec.
Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17500000,17500000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149587] 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)
[    0.184717] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.39 BogoMIPS (lpj=11976780)
[    0.182223] smpboot: Total of 16 processors activated (95814.24 BogoMIPS)

5089603805270005507928394318662366435936159965625281324311354894515448230569376924425300798545936534016550420324498604060923117107349734863597856758529<151>

799149216679022608951503814667183<33>
6368777819016794702614263710083427638998028124941680226176778152034079952697123539229979083229182102645012708330922063<118>

Input number is 5089603805270005507928394318662366435936159965625281324311354894515448230569376924425300798545936534016550420324498604060923117107349734863597856758529 (151 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=71121768
Step 1 took 9218ms
Step 2 took 7875ms
********** Factor found in step 2: 799149216679022608951503814667183
Found probable prime factor of 33 digits: 799149216679022608951503814667183
Probable prime cofactor 6368777819016794702614263710083427638998028124941680226176778152034079952697123539229979083229182102645012708330922063 has 118 digits

231924449547436564246997903193622568309764706267193975852379597190737415072799416427055017451578819965783783606964930013771536425877403885470538398380127116842163799504748072475572696375240020542814431<201>

476456853236920917538270041135311<33>
486769049436068861465978199282208727608448846448291970943328068125310664173218430283933037561009553764154421542200479129110094192592597489751505091053034189731286663921<168>

Run 243 out of 281:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1087522014
Step 1 took 18457ms
Step 2 took 6146ms
********** Factor found in step 2: 476456853236920917538270041135311
Found probable prime factor of 33 digits: 476456853236920917538270041135311
Probable prime cofactor 486769049436068861465978199282208727608448846448291970943328068125310664173218430283933037561009553764154421542200479129110094192592597489751505091053034189731286663921 has 168 digits

GMP-ECM 6.4.4

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

51341865641741096078589406500343642910300257223471009913324937598633046361994332408383192512516661666446888722770073963424750095822459394123985029609918408434027476805099253819483593522177260072184201<200>

28658118563248990175346304764680670294666883<44>
1791529528654460079850694480452308733442207077376978295600892614553025444666144664710504428882752611981972978707976181413082615380799773745265570076217362947<157>

Number: n
N=51341865641741096078589406500343642910300257223471009913324937598633046361994332408383192512516661666446888722770073963424750095822459394123985029609918408434027476805099253819483593522177260072184201
  ( 200 digits)
SNFS difficulty: 207 digits.
Divisors found:

Thu Jul 27 18:42:49 2017  prp44 factor: 28658118563248990175346304764680670294666883
Thu Jul 27 18:42:49 2017  prp157 factor: 1791529528654460079850694480452308733442207077376978295600892614553025444666144664710504428882752611981972978707976181413082615380799773745265570076217362947
Thu Jul 27 18:42:49 2017  elapsed time 10:14:36 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=4.358).
Factorization parameters were as follows:
#
# N = (709*10^204-7)/9 or 787<204>
#
n: 51341865641741096078589406500343642910300257223471009913324937598633046361994332408383192512516661666446888722770073963424750095822459394123985029609918408434027476805099253819483593522177260072184201
m: 50000000000000000000000000000000000000000
deg: 5
c5: 11344
c0: -35
skew: 0.31
# Murphy_E = 5.569e-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, 38800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 6568348 hash collisions in 46438298 relations (41427574 unique)
Msieve: matrix is 3314913 x 3315138 (952.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 9hrs 59min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 2sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.050273] smpboot: CPU0: Intel(R) Core(TM) i7-6700K CPU @ 4.00GHz (family: 0x6, model: 0x5e, stepping: 0x3)
[    0.000000] Memory: 16339156K/16705272K available (7836K kernel code, 1309K rwdata, 3448K rodata, 1528K init, 1544K bss, 366116K reserved, 0K cma-reserved)
[    0.000018] Calibrating delay loop (skipped), value calculated using timer frequency.. 8016.72 BogoMIPS (lpj=4008360)
[    0.074633] smpboot: Total of 8 processors activated (64133.76 BogoMIPS)

5387919575952293245568693234084471231534781252404432297585522116049856275844386669332688909229261041386459172052820883848501435360827933417663251634836619886177780427637386016427<178>

30144464086173354542473138473118945361868014057571826816893370646515319<71>
178736618456707647997193681547375124187591112187548895255511729828737472395824232863855193519308417320641133<108>

Number: n
N=5387919575952293245568693234084471231534781252404432297585522116049856275844386669332688909229261041386459172052820883848501435360827933417663251634836619886177780427637386016427  ( 178 digits)
SNFS difficulty: 208 digits.
Divisors found:

Fri Oct  4 03:09:23 2024  prp71 factor: 30144464086173354542473138473118945361868014057571826816893370646515319
Fri Oct  4 03:09:23 2024  prp108 factor: 178736618456707647997193681547375124187591112187548895255511729828737472395824232863855193519308417320641133
Fri Oct  4 03:09:23 2024  elapsed time 02:29:51 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.136).
Factorization parameters were as follows:
#
# N = 709x10^206-7 = 787(206)
#
n: 5387919575952293245568693234084471231534781252404432297585522116049856275844386669332688909229261041386459172052820883848501435360827933417663251634836619886177780427637386016427
m: 10000000000000000000000000000000000
deg: 6
c6: 70900
c0: -7
skew: 0.21
# Murphy_E = 5.591e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 27
lpba: 27
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0: 50000
qintsize: 50000
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 57/57
Sieved  special-q in [50000, 52450000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8995826 hash collisions in 28897076 relations (17935969 unique)
Msieve: matrix is 2168611 x 2168836 (619.6 MB)

Sieving start time: 2024/10/02 19:01:21
Sieving end time  : 2024/10/04 00:33:05

Total sieving time: 29hrs 31min 44secs.

Total relation processing time: 2hrs 19min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 17sec.

Prototype def-par.txt line would be:
snfs,208,6,0,0,0,0,0,0,0,0,21000000,21000000,27,27,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

692691953342458499545207187191940152978428849594008263453513921740464250158518010479286165798603478310144273372002934903565360712739963049915831577178486883306319324151501207081676099587413523418166115151<204>

18115542431994183335850403312954778473983219867298474439500037981537663<71>
38237439256529401939318259700842714058596121489454569365193758125639698560773002368564957729798395495920310767419804307397733815177777<134>

Number: n
N=692691953342458499545207187191940152978428849594008263453513921740464250158518010479286165798603478310144273372002934903565360712739963049915831577178486883306319324151501207081676099587413523418166115151
  ( 204 digits)
SNFS difficulty: 209 digits.
Divisors found:

Tue Aug 15 18:15:24 2017  prp71 factor: 18115542431994183335850403312954778473983219867298474439500037981537663
Tue Aug 15 18:15:24 2017  prp134 factor: 38237439256529401939318259700842714058596121489454569365193758125639698560773002368564957729798395495920310767419804307397733815177777
Tue Aug 15 18:15:24 2017  elapsed time 17:51:04 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.824).
Factorization parameters were as follows:
#
# 709x10^207-7 787(207)
#
n: 692691953342458499545207187191940152978428849594008263453513921740464250158518010479286165798603478310144273372002934903565360712739963049915831577178486883306319324151501207081676099587413523418166115151
m: 100000000000000000000000000000000000000000
deg: 5
c5: 70900
c0: -7
skew: 0.16
# Murphy_E = 3.485e-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, 39000000)
Primes: RFBsize:1389261, AFBsize:1389031,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10773883 hash collisions in 59087165 relations (49685352 unique)
Msieve: matrix is 3755213 x 3755438 (1062.3 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 17hrs 30min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 42sec.

Prototype def-par.txt line would be:
snfs,209,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

166395440419095923827674158472299922644798441059488963657200632147187472433487603339496718308867511155852038854575558885758853536395830502995388534032334206281352443190477160889210027<183>

45625916956667033908392256772826343748025071<44>
3646950056414846127039718060262140262829794476275539309766361717636091039697602606547618035995771386118233917502781610350463977643157074437<139>

#
# N = 709x10^208-7 = 787(208)
#
n: 166395440419095923827674158472299922644798441059488963657200632147187472433487603339496718308867511155852038854575558885758853536395830502995388534032334206281352443190477160889210027
m: 50000000000000000000000000000000000
deg: 6
c6: 11344
c0: -175
skew: 0.50
# Murphy_E = 2.776e-12
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
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 166395440419095923827674158472299922644798441059488963657200632147187472433487603339496718308867511155852038854575558885758853536395830502995388534032334206281352443190477160889210027 (183 digits)
Using B1=35710000, B2=192388936756, polynomial Dickson(12), sigma=1:1922711517
Step 1 took 95721ms
Step 2 took 32436ms
********** Factor found in step 2: 45625916956667033908392256772826343748025071
Found prime factor of 44 digits: 45625916956667033908392256772826343748025071
Prime cofactor 3646950056414846127039718060262140262829794476275539309766361717636091039697602606547618035995771386118233917502781610350463977643157074437 has 139 digits

46828333594077146729295964688858571079555500941739658673723768641833035505987289828403331325089696598103114990925891476893275079808913053930576306044628988137<158>

26680568767252750625125696246465522087796737493983444857832203634245881694364341057877697458780999318201412877307273793162242232752664906320484876032259<152>

51199676204027730165396720065689435873<38>
521108154296371655425273797310741657840698561364609985856553805914311088894441090556774006941113329326229166147683<114>

Run 41 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=967828901
Step 1 took 42166ms
Step 2 took 15733ms
********** Factor found in step 2: 51199676204027730165396720065689435873
Found probable prime factor of 38 digits: 51199676204027730165396720065689435873
Probable prime cofactor 521108154296371655425273797310741657840698561364609985856553805914311088894441090556774006941113329326229166147683 has 114 digits

GMP-ECM 6.4.4

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

3419568081618638785088168547221029533209861003799999175476638153365757558816648105219513201628031447427385706651801651134775664131763924379400237029591608273093259309426642487<175>

72220307280912527814352805372929000963<38>
47349121187170769886257862725805413837323079812642050640086595630830864854054317324802020902091316970637179932093501877440823689850473149<137>

Run 450 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1752967162
Step 1 took 60010ms
Step 2 took 19067ms
********** Factor found in step 2: 72220307280912527814352805372929000963
Found probable prime factor of 38 digits: 72220307280912527814352805372929000963
Probable prime cofactor 47349121187170769886257862725805413837323079812642050640086595630830864854054317324802020902091316970637179932093501877440823689850473149 has 137 digits

GMP-ECM 6.4.4

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

66018795245798521207680676457247416144292217576783001579003498136109968357925057071001640470433825654786092093452480314716375219838976428767270248369989206920671931606584981<173>

43896090565185845477423194254805192759<38>

1503978928323021914325505501828822504121006891168549305939242050315335528461737245844281248218760285925631307887872036677885601762195859<136>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3061971580
Step 1 took 12301ms
Step 2 took 10520ms
********** Factor found in step 2: 43896090565185845477423194254805192759
Found probable prime factor of 38 digits: 43896090565185845477423194254805192759
Composite cofactor 

1503978928323021914325505501828822504121006891168549305939242050315335528461737245844281248218760285925631307887872036677885601762195859<136>

8524340475452092313082416689330214464214340485718861799<55>
176433465164148983731706164753006209521554826267459716833288688124466021549357941<81>

Number: 78777_214
N = 1503978928323021914325505501828822504121006891168549305939242050315335528461737245844281248218760285925631307887872036677885601762195859 (136 digits)
Divisors found:
r1=8524340475452092313082416689330214464214340485718861799 (pp55)
r2=176433465164148983731706164753006209521554826267459716833288688124466021549357941 (pp81)
Version: Msieve v. 1.51 (SVN 845)
Total time: 168.46 hours.
Factorization parameters were as follows:
# Murphy_E = 3.973e-11, selected by Erik Branger
# expecting poly E from 4.03e-011 to > 4.64e-011
n: 1503978928323021914325505501828822504121006891168549305939242050315335528461737245844281248218760285925631307887872036677885601762195859
Y0: -154363519628672555482556318
Y1: 171192238289717
c0: 12242249307213035560636262586379947
c1: 42933678476510641253866230624
c2: -56046156410841170879665
c3: -57617737522909546
c4: 39420662148
c5: 17160
skew: 1226068.77
type: gnfs
# selected mechanically
rlim: 13500000
alim: 13500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 13500000/13500000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 21670745
Relations: 3437078 relations
Pruned matrix : 2019184 x 2019413
Polynomial selection time: 0.00 hours.
Total sieving time: 162.58 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 3.79 hours.
time per square root: 1.94 hours.
Prototype def-par.txt line would be: gnfs,135,5,65,2000,1e-05,0.28,250,20,50000,3600,13500000,13500000,28,28,55,55,2.6,2.6,100000
total time: 168.46 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz

GGNFS, Msieve

4516795682903305239754140696576310368238826642211378487043322281143775634966802690506297311178592934920820698095000948060288846007942992421893581746306576829033699859001770894770874739334318681935613<199>

2923042475765030096824442110133231781313216204671351697708429522663040939621692339348822819883400701423002216936009158151810952619542851823308555085683692420237529977161102393518283177181435885042222709533393781357<214>

2526927393290635159666962022681974424127930733971714527<55>
1156757603533104627682361704445672562664113623696948343161953740579245806531063967532796075398118663360896130719646248233529477651837715631266913306782255402291<160>

Number: n
N=2923042475765030096824442110133231781313216204671351697708429522663040939621692339348822819883400701423002216936009158151810952619542851823308555085683692420237529977161102393518283177181435885042222709533393781357
  ( 214 digits)
SNFS difficulty: 220 digits.
Divisors found:

Sat May  5 12:06:38 2018  p55 factor: 2526927393290635159666962022681974424127930733971714527
Sat May  5 12:06:38 2018  p160 factor: 1156757603533104627682361704445672562664113623696948343161953740579245806531063967532796075398118663360896130719646248233529477651837715631266913306782255402291
Sat May  5 12:06:38 2018  elapsed time 07:30:40 (Msieve 1.53 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.091).
Factorization parameters were as follows:
#
# 709x10^218-7 = 787(218)
#
n: 2923042475765030096824442110133231781313216204671351697708429522663040939621692339348822819883400701423002216936009158151810952619542851823308555085683692420237529977161102393518283177181435885042222709533393781357
m: 1000000000000000000000000000000000000
deg: 6
c6: 70900
c0: -7
skew: 0.21
# Murphy_E = 2.213e-12
type: snfs
lss: 1
rlim: 34000000
alim: 34000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 34000000/34000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 70600000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14640552 hash collisions in 74974787 relations (62581855 unique)
Msieve: matrix is 4137598 x 4137826 (1186.6 MB)

Sieving start time: 2018/05/03 08:56:41
Sieving end time  : 2018/05/05 04:33:49

Total sieving time: 43hrs 37min 8secs.
Total relation processing time: 6hrs 30min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 37min 50sec.

Prototype def-par.txt line would be:
snfs,220,6,0,0,0,0,0,0,0,0,34000000,34000000,29,29,58,58,2.6,2.6,100000
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: 16292580K/16703460K available (12300K kernel code, 2482K rwdata, 4000K rodata, 2376K init, 2372K bss, 410880K reserved, 0K cma-reserved)
[    0.100643] x86/mm: Memory block size: 128MB
[    0.004000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.48 BogoMIPS (lpj=11976968)
[    0.098224] smpboot: Total of 16 processors activated (95815.74 BogoMIPS)

1027351167276633442876084905011841022417274877582262740008693317777085585945342178414058991539338528034373108663389457184220442225978807640610075038643<151>

65351214951245346563759456034654454190850504689<47>
15720460102280868489147986355623275081560649187442852695273668371221841983689000088888547614852632316387<104>

Number: 78887_219
N = 1027351167276633442876084905011841022417274877582262740008693317777085585945342178414058991539338528034373108663389457184220442225978807640610075038643 (151 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=65351214951245346563759456034654454190850504689 (pp47)
r2=15720460102280868489147986355623275081560649187442852695273668371221841983689000088888547614852632316387 (pp104)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 140.48 hours.
Factorization parameters were as follows:
n: 1027351167276633442876084905011841022417274877582262740008693317777085585945342178414058991539338528034373108663389457184220442225978807640610075038643
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 709
c0: -70
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 27
mfbr: 58
mfba: 54
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/27
Total raw relations: 30631481
Relations: 12337186 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 60.90 hours.
Total relation processing time: 0.30 hours.
Pruned matrix : 10416051 x 10416276
Matrix solve time: 78.49 hours.
time per square root: 0.79 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,67108864,29,27,58,54,2.8,2.8,100000
total time: 140.48 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.15063-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

641825062877106075571691531997812333035274269441294892705863240074774294640437566539597206612098790184336204789229615688647063477741435642932006661478778655946133053126570793093251771504928798129<195>

272765236171940289202023690305992022009161162658320297393894553929703222430901794959099<87>
2353031023618146268718252739928707470711167335317821343734995723335234428540832050286898100606120560128187971<109>

Number: 78777_221
N = 641825062877106075571691531997812333035274269441294892705863240074774294640437566539597206612098790184336204789229615688647063477741435642932006661478778655946133053126570793093251771504928798129 (195 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=272765236171940289202023690305992022009161162658320297393894553929703222430901794959099 (pp87)
r2=2353031023618146268718252739928707470711167335317821343734995723335234428540832050286898100606120560128187971 (pp109)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 120.99 hours.
Factorization parameters were as follows:
n: 641825062877106075571691531997812333035274269441294892705863240074774294640437566539597206612098790184336204789229615688647063477741435642932006661478778655946133053126570793093251771504928798129
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 7090
c0: -7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 100000000
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: 536870912/100000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33105085
Relations: 12291894 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 45.92 hours.
Total relation processing time: 0.41 hours.
Pruned matrix : 10457614 x 10457839
Matrix solve time: 73.86 hours.
time per square root: 0.81 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,100000000,29,28,58,56,2.8,2.8,100000
total time: 120.99 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

23522561588660331431467015510939933681246183804632214004680026767336072231545222419871811587904506429259863362733481723275193432056365847820808038152776185760104192273162077<173>

55735460323468071378626353313<29>
422039424311633075310355626365512481790258371915630818170344448204773287550720794959318933360975785633134801106705381973190707608527471993332029<144>

Input number is 23522561588660331431467015510939933681246183804632214004680026767336072231545222419871811587904506429259863362733481723275193432056365847820808038152776185760104192273162077 (173 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=887907922
Step 1 took 13653ms
Step 2 took 5082ms
********** Factor found in step 2: 55735460323468071378626353313
Found probable prime factor of 29 digits: 55735460323468071378626353313
Probable prime cofactor 422039424311633075310355626365512481790258371915630818170344448204773287550720794959318933360975785633134801106705381973190707608527471993332029 has 144 digits

GMP-ECM 6.4.4

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

5250226046715463004567361794132049443729905770880662911397103071540724840152867200933579630395040922976482133150250820161830502417830065988883396377848940303991046215715736572703437918363710694005825608701797<208>

18896214557953512442582682714665100578374698871730990085860499126909109263968484961344829397042438917499941019704957877528300207412076335938755293966999279346543787366574457713083<179>

38485204570975460193569698861522612460778067<44>
490999457287659729255123589611273037951468063048858814800147960291952533076814622338525773121639040962121236521398700844918330086483449<135>

Run 80 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=996197733
Step 1 took 59036ms
********** Factor found in step 1: 38485204570975460193569698861522612460778067
Found probable prime factor of 44 digits: 38485204570975460193569698861522612460778067
Probable prime cofactor 490999457287659729255123589611273037951468063048858814800147960291952533076814622338525773121639040962121236521398700844918330086483449 has 135 digits

GMP-ECM 6.4.4

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

142570811413218629936512326596685182877651493467720628106677331707631554628670002422134943602143317165789479162170209751256097858186633589517783794735606038486301894020273648140334715571003202069102370309229246371<213>

1075075157663753746582699836957691<34>

132614738976053838893674481916983714623603541041526842140671392094775937829767649050887885634783830051331181364469574554739445528830089814490226775436567920973022764130657980367481<180>

Input number is 142570811413218629936512326596685182877651493467720628106677331707631554628670002422134943602143317165789479162170209751256097858186633589517783794735606038486301894020273648140334715571003202069102370309229246371 (213 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=825547504
Step 1 took 20432ms
********** Factor found in step 1: 1075075157663753746582699836957691
Found probable prime factor of 34 digits: 1075075157663753746582699836957691
Composite cofactor 132614738976053838893674481916983714623603541041526842140671392094775937829767649050887885634783830051331181364469574554739445528830089814490226775436567920973022764130657980367481 has 180 digits

44294081967042079315394667454838934785429533582067406596494595091178649277897134397803213451306778500164900182442887966647368441110080914479747889830559830340546521499528977107206609651624233998200623203364251102338508868781<224>

12323954476795045039810043131<29>
3594145211299186236363879769710640837900505312968493003988313626975166727927804660998118043509193171396880521514784305675096496716991536958993530319704487695155946201057830290330714536568402476151<196>

Input number is 44294081967042079315394667454838934785429533582067406596494595091178649277897134397803213451306778500164900182442887966647368441110080914479747889830559830340546521499528977107206609651624233998200623203364251102338508868781 (224 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3324967763
Step 1 took 21983ms
Step 2 took 14329ms
********** Factor found in step 2: 12323954476795045039810043131
Found probable prime factor of 29 digits: 12323954476795045039810043131
Probable prime cofactor 3594145211299186236363879769710640837900505312968493003988313626975166727927804660998118043509193171396880521514784305675096496716991536958993530319704487695155946201057830290330714536568402476151 has 196 digits

14327283399479848709139561697607660111907822210227227347025028840164653287913875359437485885916927817639655568668015301248439252440790714149870981746091934517597100363605955982805559180211936399847382056935374017<212>

6568749067768227233609028431571674629196800129<46>
2181128134393422807287712352221514624979150141395891038118351653874892873412808487418606173662902534675388902066415234797954255221030392117316900753663024492071697473<166>

Run 199 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4196137260
Step 1 took 68803ms
Step 2 took 21909ms
********** Factor found in step 2: 6568749067768227233609028431571674629196800129
Found probable prime factor of 46 digits: 6568749067768227233609028431571674629196800129
Probable prime cofactor 2181128134393422807287712352221514624979150141395891038118351653874892873412808487418606173662902534675388902066415234797954255221030392117316900753663024492071697473 has 166 digits

GMP-ECM 6.4.4

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

7182392393145010117445010548980715822326064131863364182289495607480937540234564237939470421082379487336594961140265636062566242032598412399020855408341107830929863308984163186268287315239255991183645202653261<208>

30765179532099359671618627334433485752193018712254657491205850888239736386687148667110875488416749490853638802319574355593460725057660857603271424665631314178226539005474143591075783957179024155544382408065742744379825853<221>

217532256221119514728552601297518115281669389955891539665963889516304132853262359754598104499694144549402980937609483742663633857362408854970214159262974579200495805170187507702900922957233276980599260337555768900512801621<222>

1273392648747027290865920111398812561157119744171264133934168003230093137827961430457908493330577058098261372667591160222125067690178671971780978622544848830686126358121589764528604087556439713064406871895777087899845622155551<226>

21630875558367038660563585003931507<35>
58869214300225877768453415146429002444607322507057787026734186464968625948324268172409978801546915641228941618181195574033281454639851239497610734888877671969263282996331802839677990666032293<191>

Run 23 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3830934510
Step 1 took 80120ms
Step 2 took 23837ms
********** Factor found in step 2: 21630875558367038660563585003931507
Found probable prime factor of 35 digits: 21630875558367038660563585003931507
Probable prime cofactor 58869214300225877768453415146429002444607322507057787026734186464968625948324268172409978801546915641228941618181195574033281454639851239497610734888877671969263282996331802839677990666032293 has 191 digits

GMP-ECM 6.4.4

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

32888694838354366773672711360334757752625641558626031189375727675857832753106299042184191521050751938750182994473726062240790625695834415148038152928059379523210092484135362664039057<182>

170689675367968386815944356554857530934813123338074476224475527990752239811426891574119639552856884309934584004926816208365075215014792369729361682203073969151785180307835553784728858666256675197239402206524101222683733607<222>

249455288119966794539134567160749526637509960296780133090557742115431083189620470352066542786111386397514544519461998548357213009464045669246447223849367844154093612091293273042039522411829938391587<198>

222866902195385509488754701852659<33>
1119301635472419651711044383436838571208202924980506429909224069511481636619395149940104039694684188595801016490877364149709785637405740657921960935085629367358187793<166>

Input number is 249455288119966794539134567160749526637509960296780133090557742115431083189620470352066542786111386397514544519461998548357213009464045669246447223849367844154093612091293273042039522411829938391587 (198 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2274416151
Step 1 took 18959ms
Step 2 took 12676ms
********** Factor found in step 2: 222866902195385509488754701852659
Found probable prime factor of 33 digits: 222866902195385509488754701852659
Probable prime cofactor 1119301635472419651711044383436838571208202924980506429909224069511481636619395149940104039694684188595801016490877364149709785637405740657921960935085629367358187793 has 166 digits

277868239647370476175777908467149167247509312089340433469961976058887290661291584326406952520858297455358169450683980330456624547401148629320893869869437407596264413651552354756316528702878102316018707355631441524940319267811587<228>

45096770364420872649485954243928992016252169<44>
6161599542538301389817866424501474015247850094792651378831285094781023615131264792243076328909379050435533083474978400198289785514037272602478771199459564889329845778598282919272369323<184>

Run 36 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2709328484
Step 1 took 80363ms
Step 2 took 23878ms
********** Factor found in step 2: 45096770364420872649485954243928992016252169
Found probable prime factor of 44 digits: 45096770364420872649485954243928992016252169
Probable prime cofactor 6161599542538301389817866424501474015247850094792651378831285094781023615131264792243076328909379050435533083474978400198289785514037272602478771199459564889329845778598282919272369323 has 184 digits

GMP-ECM 6.4.4

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

1179256744710454407205071516128127876364835158752216201116843711596437004251740140244939623469916277846359929923541610737553135259470887926654450705784038884061327671240810983551839265804285189493420933199044078344225763<220>

273334281695629785127630316645892666346517239913092447890317020585307017860061218022061786366772918695925449633132522480646635812426759931493618154601381910064886709873262948974237022198806115794273717728769339014369<216>

1710192339865172625699533556736372831150709167645467543252047962995684304476823419492143029984327327889864575594393759372160788687217275760609255594357082113161836772802903015037830290171741424953373112603699122257<214>

327626546453530808438689339424788330160176047842187014916267729395536434858035192681554318487962793795580025241742733279207988856063897659243995737987133549953692282576195546832064997953760561201337448529044278343<213>

241134014938053565674757566724065468229580071664644180197372235482962022180841569055710463802014421164055380039036405485645063543816281630184750370018439533675286867474891388569792003268793649770881768138364931329515150456554391076077983<237>

66703315506953160290257930831<29>
71848348307905977774557858856679<32>

50314628147188135759789407044861172758813033643054506403599518388947703977760577241171461416077868756544415553176627137450645201126122456375255553774962490596640570498564153767<176>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4237426428
Step 1 took 22815ms
Step 2 took 15493ms
********** Factor found in step 2: 71848348307905977774557858856679
Found probable prime factor of 32 digits: 71848348307905977774557858856679

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2072130114
Step 1 took 20961ms
Step 2 took 13068ms
********** Factor found in step 2: 66703315506953160290257930831
Found probable prime factor of 29 digits: 66703315506953160290257930831

697765967916543647278811140635764196437358527703966145064462159236295640192894400157464816455073319555161893514417872256667650821769510874913886428501131778368270839484302726109634878456844798740281468359413443558704851884657021946658793425843913<246>