11777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<95>

24422834393593430974377318075339697384149082673<47>
482244508887441439278345278921055020563611651649<48>

Mon Apr 25 00:53:05 2022 -> factmsieve.py (v0.86)
Mon Apr 25 00:53:05 2022 -> This is client 1 of 1
Mon Apr 25 00:53:05 2022 -> Running on 6 Cores with 1 hyper-thread per Core
Mon Apr 25 00:53:05 2022 -> Working with NAME = 58885_94
Mon Apr 25 00:53:05 2022 -> Selected lattice siever: gnfs-lasieve4I11e
Mon Apr 25 00:53:05 2022 -> Creating param file to detect parameter changes...
Mon Apr 25 00:53:05 2022 -> Running setup ...
Mon Apr 25 00:53:05 2022 -> Estimated minimum relations needed: 936329
Mon Apr 25 00:53:05 2022 -> cleaning up before a restart
Mon Apr 25 00:53:05 2022 -> Running lattice siever ...
Mon Apr 25 00:53:05 2022 -> entering sieving loop
Mon Apr 25 00:53:50 2022 Found 937488 relations, 100.1% of the estimated minimum (936329).
Mon Apr 25 00:53:50 2022 -> msieve-1.53-SVN998-win64-core2 -s 58885_94\58885_94.dat -l 58885_94\58885_94.log -i 58885_94\58885_94.ini -nf 58885_94\58885_94.fb -t 6 -nc1
Mon Apr 25 00:53:50 2022  
Mon Apr 25 00:53:50 2022  
Mon Apr 25 00:53:50 2022  Msieve v. 1.53 (SVN unknown)
Mon Apr 25 00:53:50 2022  random seeds: 3ba175dc 87cc5a59
Mon Apr 25 00:53:50 2022  factoring 11777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (95 digits)
Mon Apr 25 00:53:51 2022  searching for 15-digit factors
Mon Apr 25 00:53:51 2022  commencing number field sieve (95-digit input)
Mon Apr 25 00:53:51 2022  R0: -100000000000000000000000
Mon Apr 25 00:53:51 2022  R1: 1
Mon Apr 25 00:53:51 2022  A0: -7
Mon Apr 25 00:53:51 2022  A1: 0
Mon Apr 25 00:53:51 2022  A2: 0
Mon Apr 25 00:53:51 2022  A3: 0
Mon Apr 25 00:53:51 2022  A4: 1060
Mon Apr 25 00:53:51 2022  skew 0.29, size 5.289e-10, alpha -0.649, combined = 6.166e-07 rroots = 2
Mon Apr 25 00:53:51 2022  
Mon Apr 25 00:53:51 2022  commencing relation filtering
Mon Apr 25 00:53:51 2022  estimated available RAM is 32684.9 MB
Mon Apr 25 00:53:51 2022  commencing duplicate removal, pass 1
Mon Apr 25 00:53:59 2022  found 42344 hash collisions in 937487 relations
Mon Apr 25 00:53:59 2022  added 106877 free relations
Mon Apr 25 00:53:59 2022  commencing duplicate removal, pass 2
Mon Apr 25 00:53:59 2022  found 32835 duplicates and 1011529 unique relations
Mon Apr 25 00:53:59 2022  memory use: 5.0 MB
Mon Apr 25 00:53:59 2022  reading ideals above 30000
Mon Apr 25 00:53:59 2022  commencing singleton removal, initial pass
Mon Apr 25 00:54:07 2022  memory use: 23.5 MB
Mon Apr 25 00:54:07 2022  reading all ideals from disk
Mon Apr 25 00:54:07 2022  memory use: 27.1 MB
Mon Apr 25 00:54:07 2022  keeping 1149925 ideals with weight <= 200, target excess is 6464
Mon Apr 25 00:54:07 2022  commencing in-memory singleton removal
Mon Apr 25 00:54:07 2022  begin with 1011529 relations and 1149925 unique ideals
Mon Apr 25 00:54:07 2022  reduce to 355949 relations and 226169 ideals in 9 passes
Mon Apr 25 00:54:07 2022  max relations containing the same ideal: 95
Mon Apr 25 00:54:07 2022  removing 156024 relations and 94883 ideals in 61141 cliques
Mon Apr 25 00:54:07 2022  commencing in-memory singleton removal
Mon Apr 25 00:54:07 2022  begin with 199925 relations and 226169 unique ideals
Mon Apr 25 00:54:07 2022  reduce to 188229 relations and 117883 ideals in 5 passes
Mon Apr 25 00:54:07 2022  max relations containing the same ideal: 59
Mon Apr 25 00:54:07 2022  removing 70184 relations and 38250 ideals in 31934 cliques
Mon Apr 25 00:54:07 2022  commencing in-memory singleton removal
Mon Apr 25 00:54:07 2022  begin with 118045 relations and 117883 unique ideals
Mon Apr 25 00:54:07 2022  reduce to 115412 relations and 76814 ideals in 4 passes
Mon Apr 25 00:54:07 2022  max relations containing the same ideal: 45
Mon Apr 25 00:54:07 2022  removing 21096 relations and 11285 ideals in 9811 cliques
Mon Apr 25 00:54:07 2022  commencing in-memory singleton removal
Mon Apr 25 00:54:07 2022  begin with 94316 relations and 76814 unique ideals
Mon Apr 25 00:54:07 2022  reduce to 93301 relations and 64454 ideals in 4 passes
Mon Apr 25 00:54:07 2022  max relations containing the same ideal: 38
Mon Apr 25 00:54:07 2022  relations with 0 large ideals: 378
Mon Apr 25 00:54:07 2022  relations with 1 large ideals: 353
Mon Apr 25 00:54:07 2022  relations with 2 large ideals: 2784
Mon Apr 25 00:54:07 2022  relations with 3 large ideals: 11029
Mon Apr 25 00:54:07 2022  relations with 4 large ideals: 22757
Mon Apr 25 00:54:07 2022  relations with 5 large ideals: 29500
Mon Apr 25 00:54:07 2022  relations with 6 large ideals: 18033
Mon Apr 25 00:54:07 2022  relations with 7+ large ideals: 8467
Mon Apr 25 00:54:07 2022  commencing 2-way merge
Mon Apr 25 00:54:07 2022  reduce to 86512 relation sets and 57665 unique ideals
Mon Apr 25 00:54:07 2022  commencing full merge
Mon Apr 25 00:54:08 2022  memory use: 5.6 MB
Mon Apr 25 00:54:08 2022  found 31079 cycles, need 17865
Mon Apr 25 00:54:08 2022  weight of 17865 cycles is about 1413576 (79.13/cycle)
Mon Apr 25 00:54:08 2022  distribution of cycle lengths:
Mon Apr 25 00:54:08 2022  1 relations: 991
Mon Apr 25 00:54:08 2022  2 relations: 729
Mon Apr 25 00:54:08 2022  3 relations: 902
Mon Apr 25 00:54:08 2022  4 relations: 1021
Mon Apr 25 00:54:08 2022  5 relations: 1155
Mon Apr 25 00:54:08 2022  6 relations: 1303
Mon Apr 25 00:54:08 2022  7 relations: 1352
Mon Apr 25 00:54:08 2022  8 relations: 1406
Mon Apr 25 00:54:08 2022  9 relations: 1437
Mon Apr 25 00:54:08 2022  10+ relations: 7569
Mon Apr 25 00:54:08 2022  heaviest cycle: 18 relations
Mon Apr 25 00:54:08 2022  commencing cycle optimization
Mon Apr 25 00:54:08 2022  start with 150675 relations
Mon Apr 25 00:54:08 2022  pruned 15914 relations
Mon Apr 25 00:54:08 2022  memory use: 3.5 MB
Mon Apr 25 00:54:08 2022  distribution of cycle lengths:
Mon Apr 25 00:54:08 2022  1 relations: 991
Mon Apr 25 00:54:08 2022  2 relations: 803
Mon Apr 25 00:54:08 2022  3 relations: 1044
Mon Apr 25 00:54:08 2022  4 relations: 1238
Mon Apr 25 00:54:08 2022  5 relations: 1425
Mon Apr 25 00:54:08 2022  6 relations: 1665
Mon Apr 25 00:54:08 2022  7 relations: 1734
Mon Apr 25 00:54:08 2022  8 relations: 1688
Mon Apr 25 00:54:08 2022  9 relations: 1641
Mon Apr 25 00:54:08 2022  10+ relations: 5636
Mon Apr 25 00:54:08 2022  heaviest cycle: 18 relations
Mon Apr 25 00:54:08 2022  RelProcTime: 17
Mon Apr 25 00:54:08 2022  elapsed time 00:00:18
Mon Apr 25 00:54:08 2022 LatSieveTime: 23.9414
Mon Apr 25 00:54:08 2022 -> Running matrix solving step ...
Mon Apr 25 00:54:08 2022 -> msieve-1.53-SVN998-win64-core2 -s 58885_94\58885_94.dat -l 58885_94\58885_94.log -i 58885_94\58885_94.ini -nf 58885_94\58885_94.fb -t 6 -nc2
Mon Apr 25 00:54:08 2022  
Mon Apr 25 00:54:08 2022  
Mon Apr 25 00:54:08 2022  Msieve v. 1.53 (SVN unknown)
Mon Apr 25 00:54:08 2022  random seeds: 94d0c3b0 36e6d870
Mon Apr 25 00:54:08 2022  factoring 11777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (95 digits)
Mon Apr 25 00:54:08 2022  searching for 15-digit factors
Mon Apr 25 00:54:09 2022  commencing number field sieve (95-digit input)
Mon Apr 25 00:54:09 2022  R0: -100000000000000000000000
Mon Apr 25 00:54:09 2022  R1: 1
Mon Apr 25 00:54:09 2022  A0: -7
Mon Apr 25 00:54:09 2022  A1: 0
Mon Apr 25 00:54:09 2022  A2: 0
Mon Apr 25 00:54:09 2022  A3: 0
Mon Apr 25 00:54:09 2022  A4: 1060
Mon Apr 25 00:54:09 2022  skew 0.29, size 5.289e-10, alpha -0.649, combined = 6.166e-07 rroots = 2
Mon Apr 25 00:54:09 2022  
Mon Apr 25 00:54:09 2022  commencing linear algebra
Mon Apr 25 00:54:09 2022  read 17865 cycles
Mon Apr 25 00:54:09 2022  cycles contain 48651 unique relations
Mon Apr 25 00:54:09 2022  read 48651 relations
Mon Apr 25 00:54:09 2022  using 20 quadratic characters above 4294917295
Mon Apr 25 00:54:09 2022  building initial matrix
Mon Apr 25 00:54:09 2022  memory use: 5.8 MB
Mon Apr 25 00:54:09 2022  read 17865 cycles
Mon Apr 25 00:54:09 2022  matrix is 17687 x 17865 (5.3 MB) with weight 1666437 (93.28/col)
Mon Apr 25 00:54:09 2022  sparse part has weight 1190926 (66.66/col)
Mon Apr 25 00:54:10 2022  filtering completed in 2 passes
Mon Apr 25 00:54:10 2022  matrix is 17653 x 17831 (5.3 MB) with weight 1664961 (93.37/col)
Mon Apr 25 00:54:10 2022  sparse part has weight 1190247 (66.75/col)
Mon Apr 25 00:54:10 2022  matrix starts at (0, 0)
Mon Apr 25 00:54:10 2022  matrix is 17653 x 17831 (5.3 MB) with weight 1664961 (93.37/col)
Mon Apr 25 00:54:10 2022  sparse part has weight 1190247 (66.75/col)
Mon Apr 25 00:54:10 2022  saving the first 48 matrix rows for later
Mon Apr 25 00:54:10 2022  matrix includes 64 packed rows
Mon Apr 25 00:54:10 2022  matrix is 17605 x 17831 (4.9 MB) with weight 1306247 (73.26/col)
Mon Apr 25 00:54:10 2022  sparse part has weight 1112710 (62.40/col)
Mon Apr 25 00:54:10 2022  commencing Lanczos iteration
Mon Apr 25 00:54:10 2022  memory use: 4.9 MB
Mon Apr 25 00:54:12 2022  lanczos halted after 279 iterations (dim = 17604)
Mon Apr 25 00:54:12 2022  recovered 37 nontrivial dependencies
Mon Apr 25 00:54:12 2022  BLanczosTime: 3
Mon Apr 25 00:54:12 2022  elapsed time 00:00:04
Mon Apr 25 00:54:12 2022 -> Running square root step ...
Mon Apr 25 00:54:12 2022 -> msieve-1.53-SVN998-win64-core2 -s 58885_94\58885_94.dat -l 58885_94\58885_94.log -i 58885_94\58885_94.ini -nf 58885_94\58885_94.fb -t 6 -nc3
Mon Apr 25 00:54:12 2022  
Mon Apr 25 00:54:12 2022  
Mon Apr 25 00:54:12 2022  Msieve v. 1.53 (SVN unknown)
Mon Apr 25 00:54:12 2022  random seeds: cf677f50 3865a272
Mon Apr 25 00:54:12 2022  factoring 11777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (95 digits)
Mon Apr 25 00:54:12 2022  searching for 15-digit factors
Mon Apr 25 00:54:12 2022  commencing number field sieve (95-digit input)
Mon Apr 25 00:54:12 2022  R0: -100000000000000000000000
Mon Apr 25 00:54:12 2022  R1: 1
Mon Apr 25 00:54:12 2022  A0: -7
Mon Apr 25 00:54:12 2022  A1: 0
Mon Apr 25 00:54:12 2022  A2: 0
Mon Apr 25 00:54:12 2022  A3: 0
Mon Apr 25 00:54:12 2022  A4: 1060
Mon Apr 25 00:54:12 2022  skew 0.29, size 5.289e-10, alpha -0.649, combined = 6.166e-07 rroots = 2
Mon Apr 25 00:54:12 2022  
Mon Apr 25 00:54:12 2022  commencing square root phase
Mon Apr 25 00:54:12 2022  reading relations for dependency 1
Mon Apr 25 00:54:12 2022  read 8943 cycles
Mon Apr 25 00:54:12 2022  cycles contain 24382 unique relations
Mon Apr 25 00:54:12 2022  read 24382 relations
Mon Apr 25 00:54:12 2022  multiplying 24382 relations
Mon Apr 25 00:54:12 2022  multiply complete, coefficients have about 0.65 million bits
Mon Apr 25 00:54:12 2022  initial square root is modulo 1109057
Mon Apr 25 00:54:13 2022  GCD is N, no factor found
Mon Apr 25 00:54:13 2022  reading relations for dependency 2
Mon Apr 25 00:54:13 2022  read 8901 cycles
Mon Apr 25 00:54:13 2022  cycles contain 24570 unique relations
Mon Apr 25 00:54:13 2022  read 24570 relations
Mon Apr 25 00:54:13 2022  multiplying 24570 relations
Mon Apr 25 00:54:13 2022  multiply complete, coefficients have about 0.65 million bits
Mon Apr 25 00:54:13 2022  initial square root is modulo 1241789
Mon Apr 25 00:54:13 2022  sqrtTime: 1
Mon Apr 25 00:54:13 2022  p47 factor: 24422834393593430974377318075339697384149082673
Mon Apr 25 00:54:13 2022  p48 factor: 482244508887441439278345278921055020563611651649
Mon Apr 25 00:54:13 2022  elapsed time 00:00:01
Mon Apr 25 00:54:13 2022 -> Computing time scale for this machine...
Mon Apr 25 00:54:13 2022 -> procrels -speedtest> PIPE

7788268156130289098227261981051441779664952138891921718409936141738634965793503861919693693796731<97>

9964528518545806168158536767340795833<37>
781599263992761990398454290285232628480531333202082941572307<60>

N=7788268156130289098227261981051441779664952138891921718409936141738634965793503861919693693796731
  ( 97 digits)
SNFS difficulty: 110 digits.
Divisors found:
p37 factor: 9964528518545806168158536767340795833
p60 factor: 781599263992761990398454290285232628480531333202082941572307
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.31 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 7788268156130289098227261981051441779664952138891921718409936141738634965793503861919693693796731
m: 1000000000000000000000000000
deg: 4
c4: 106
c0: -7
skew: 0.51
# Murphy_E = 1.198e-07
type: snfs
lss: 1
rlim: 480000
alim: 480000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 480000/480000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [240000, 420001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 46107 x 46335
Total sieving time: 0.30 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,110.000,4,0,0,0,0,0,0,0,0,480000,480000,25,25,44,44,2.2,2.2,20000
total time: 0.31 hours.
 --------- CPU info (if available) ----------

258981464989737248644439704594990858687252272623435819140049602280209638166245088819647995324651590524894349<108>

22821773828123771277673344137745862142681029463606053<53>
11347998930328050235455924667905512699566465095738428233<56>

N=258981464989737248644439704594990858687252272623435819140049602280209638166245088819647995324651590524894349
  ( 108 digits)
SNFS difficulty: 114 digits.
Divisors found:
p53 factor: 22821773828123771277673344137745862142681029463606053
p56 factor: 11347998930328050235455924667905512699566465095738428233
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.43 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 258981464989737248644439704594990858687252272623435819140049602280209638166245088819647995324651590524894349
m: 10000000000000000000000000000
deg: 4
c4: 106
c0: -7
skew: 0.51
# Murphy_E = 7.832e-08
type: snfs
lss: 1
rlim: 560000
alim: 560000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 560000/560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [280000, 540001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 60608 x 60833
Total sieving time: 0.41 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,114.000,4,0,0,0,0,0,0,0,0,560000,560000,25,25,45,45,2.2,2.2,20000
total time: 0.43 hours.
 --------- CPU info (if available) ----------

78340097636208087778685290901501289550920000335558589611741592344762869892440693631937979316843<95>

961548627854816061467540446802673379295263549<45>
81472840131842646228030016524079206560355711928007<50>

N=78340097636208087778685290901501289550920000335558589611741592344762869892440693631937979316843
  ( 95 digits)
SNFS difficulty: 118 digits.
Divisors found:
p45 factor: 961548627854816061467540446802673379295263549
p50 factor: 81472840131842646228030016524079206560355711928007
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.75 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 78340097636208087778685290901501289550920000335558589611741592344762869892440693631937979316843
m: 100000000000000000000000000000
deg: 4
c4: 106
c0: -7
skew: 0.51
# Murphy_E = 5.091e-08
type: snfs
lss: 1
rlim: 650000
alim: 650000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2

Factor base limits: 650000/650000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [325000, 525001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 56077 x 56302
Total sieving time: 0.73 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,118.000,4,0,0,0,0,0,0,0,0,650000,650000,25,25,45,45,2.2,2.2,50000
total time: 0.75 hours.
 --------- CPU info (if available) ----------

2473136532748970761540708563228016973899022391856380854089346615477819133167823144444216388681<94>

17357003332825999016996659214603033<35>
142486377707361101151801841252449588542913487033778702612657<60>

N=2473136532748970761540708563228016973899022391856380854089346615477819133167823144444216388681
  ( 94 digits)
SNFS difficulty: 122 digits.
Divisors found:
p35 factor: 17357003332825999016996659214603033
p60 factor: 142486377707361101151801841252449588542913487033778702612657
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.09 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2473136532748970761540708563228016973899022391856380854089346615477819133167823144444216388681
m: 1000000000000000000000000000000
deg: 4
c4: 106
c0: -7
skew: 0.51
# Murphy_E = 3.293e-08
type: snfs
lss: 1
rlim: 760000
alim: 760000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 760000/760000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [380000, 680001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 69205 x 69430
Total sieving time: 1.07 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,122.000,4,0,0,0,0,0,0,0,0,760000,760000,25,25,46,46,2.2,2.2,75000
total time: 1.09 hours.
 --------- CPU info (if available) ----------

618477492832074484599097957779374350665067654723999401149585977997307932630992262152807262400839542907<102>

1118018057200961400928746147432740767<37>
553190969366342222157961738843208758467317504698382784343575040421<66>

N=618477492832074484599097957779374350665067654723999401149585977997307932630992262152807262400839542907
  ( 102 digits)
SNFS difficulty: 123 digits.
Divisors found:
p37 factor: 1118018057200961400928746147432740767
p66 factor: 553190969366342222157961738843208758467317504698382784343575040421
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.10 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 618477492832074484599097957779374350665067654723999401149585977997307932630992262152807262400839542907
m: 1000000000000000000000000000000
deg: 4
c4: 1060
c0: -7
skew: 0.29
# Murphy_E = 3.263e-08
type: snfs
lss: 1
rlim: 790000
alim: 790000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 790000/790000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [395000, 695001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 69888 x 70113
Total sieving time: 1.08 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,123.000,4,0,0,0,0,0,0,0,0,790000,790000,25,25,46,46,2.2,2.2,75000
total time: 1.10 hours.
 --------- CPU info (if available) ----------

74560860786532116538179144309377731344870327032874616840212528318861698229449337139169187908767732298259324584153441<116>

7018846230028911640233787519603932118423<40>
10622951172165085257277165899449526478390040165230037128159462987412948301767<77>

N=74560860786532116538179144309377731344870327032874616840212528318861698229449337139169187908767732298259324584153441
  ( 116 digits)
SNFS difficulty: 128 digits.
Divisors found:
p40 factor: 7018846230028911640233787519603932118423
p77 factor: 10622951172165085257277165899449526478390040165230037128159462987412948301767
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.81 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 74560860786532116538179144309377731344870327032874616840212528318861698229449337139169187908767732298259324584153441
m: 10000000000000000000000000000000
deg: 4
c4: 10600
c0: -7
skew: 0.16
# Murphy_E = 1.452e-08
type: snfs
lss: 1
rlim: 950000
alim: 950000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 950000/950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [475000, 925001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 114749 x 114975
Total sieving time: 1.77 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,128.000,4,0,0,0,0,0,0,0,0,950000,950000,26,26,47,47,2.3,2.3,75000
total time: 1.81 hours.
 --------- CPU info (if available) ----------

323864904919519244054498792054956332871553827856178931326444516660146476328014841493995001379414110721697690973577437399313<123>

72571748797794151506300834692477617228160213864536491799<56>
4462685690845075137055291961710545843586434017967976771349190347287<67>

N=323864904919519244054498792054956332871553827856178931326444516660146476328014841493995001379414110721697690973577437399313
  ( 123 digits)
SNFS difficulty: 133 digits.
Divisors found:
p56 factor: 72571748797794151506300834692477617228160213864536491799
p67 factor: 4462685690845075137055291961710545843586434017967976771349190347287
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 4.18 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 323864904919519244054498792054956332871553827856178931326444516660146476328014841493995001379414110721697690973577437399313
m: 1000000000000000000000000000000000
deg: 4
c4: 53
c0: -35
skew: 0.90
# Murphy_E = 7.941e-09
type: snfs
lss: 1
rlim: 1190000
alim: 1190000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1190000/1190000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [595000, 1495001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 164254 x 164479
Total sieving time: 4.11 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,133.000,4,0,0,0,0,0,0,0,0,1190000,1190000,26,26,47,47,2.3,2.3,100000
total time: 4.18 hours.

49145792627913800477424528239835028332245807433408176547200852919932668144145147391893238673968685397898521599<110>

56266226875947748444429353980105321586182890354571<50>
873451008831058900508861289109441118980833810411263404002269<60>

N=49145792627913800477424528239835028332245807433408176547200852919932668144145147391893238673968685397898521599
  ( 110 digits)
SNFS difficulty: 134 digits.
Divisors found:
p50 factor: 56266226875947748444429353980105321586182890354571
p60 factor: 873451008831058900508861289109441118980833810411263404002269
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 3.66 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 49145792627913800477424528239835028332245807433408176547200852919932668144145147391893238673968685397898521599
m: 1000000000000000000000000000000000
deg: 4
c4: 106
c0: -7
skew: 0.51
# Murphy_E = 8.643e-09
type: snfs
lss: 1
rlim: 1200000
alim: 1200000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [600000, 1400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 136152 x 136377
Total sieving time: 3.61 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,134.000,4,0,0,0,0,0,0,0,0,1200000,1200000,26,26,47,47,2.3,2.3,100000
total time: 3.66 hours.
 --------- CPU info (if available) ----------

1235060536917162968127771407724266453583587781786269641321416927461732005584816379548946969208655451041536959050859601231<121>

156554886665104431568514508034614537758940477073702049<54>
7888993842518324230724490514510885440574600855217819469381814772719<67>

N=1235060536917162968127771407724266453583587781786269641321416927461732005584816379548946969208655451041536959050859601231
  ( 121 digits)
SNFS difficulty: 136 digits.
Divisors found:
p54 factor: 156554886665104431568514508034614537758940477073702049
p67 factor: 7888993842518324230724490514510885440574600855217819469381814772719
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 4.00 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1235060536917162968127771407724266453583587781786269641321416927461732005584816379548946969208655451041536959050859601231
m: 1000000000000000000000000000000000
deg: 4
c4: 10600
c0: -7
skew: 0.16
# Murphy_E = 5.908e-09
type: snfs
lss: 1
rlim: 1290000
alim: 1290000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1290000/1290000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [645000, 1545001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 207746 x 207974
Total sieving time: 3.93 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,136.000,4,0,0,0,0,0,0,0,0,1290000,1290000,26,26,48,48,2.3,2.3,100000
total time: 4.00 hours.
 --------- CPU info (if available) ----------

1144093692355580025440507306966610832821394614856075996419516271769014248388642715740189557328660071833418089583229<115>

6085122005228520633024739463091107562002909<43>
188014914306161843045112627739407174881031049194180577746679870803976481<72>

N=1144093692355580025440507306966610832821394614856075996419516271769014248388642715740189557328660071833418089583229
  ( 115 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=6085122005228520633024739463091107562002909 (pp43)
 r2=188014914306161843045112627739407174881031049194180577746679870803976481 (pp72)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.63 hours.
Scaled time: 28.69 units (timescale=7.893).
Factorization parameters were as follows:
n: 1144093692355580025440507306966610832821394614856075996419516271769014248388642715740189557328660071833418089583229
m: 10000000000000000000000000000
deg: 5
c5: 53
c0: -35
skew: 0.92
# Murphy_E = 3.429e-09
type: snfs
lss: 1
rlim: 1610000
alim: 1610000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1610000/1610000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [805000, 1605001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 191307 x 191532
Total sieving time: 3.60 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1610000,1610000,26,26,48,48,2.3,2.3,100000
total time: 3.63 hours.

GNFS, Msieve

33353187919727057647838792085980742624461668534130537455158054779149978273229944743836503931428362858770960197375355832890459635248278299<137>

718307157820271350377535548502165223480701052509274539093019<60>
46433044076768626545716239310047956045691294672325046636278338827882449317121<77>

Mon Apr 25 23:13:07 2022  Msieve v. 1.53 (SVN unknown)
Mon Apr 25 23:13:07 2022  random seeds: 845bdd4c a4462ed9
Mon Apr 25 23:13:07 2022  factoring 33353187919727057647838792085980742624461668534130537455158054779149978273229944743836503931428362858770960197375355832890459635248278299 (137 digits)
Mon Apr 25 23:13:07 2022  searching for 15-digit factors
Mon Apr 25 23:13:07 2022  commencing number field sieve (137-digit input)
Mon Apr 25 23:13:07 2022  R0: -100000000000000000000000000000000000
Mon Apr 25 23:13:07 2022  R1: 1
Mon Apr 25 23:13:07 2022  A0: -7
Mon Apr 25 23:13:07 2022  A1: 0
Mon Apr 25 23:13:07 2022  A2: 0
Mon Apr 25 23:13:07 2022  A3: 0
Mon Apr 25 23:13:07 2022  A4: 1060
Mon Apr 25 23:13:07 2022  skew 0.29, size 8.383e-15, alpha -0.649, combined = 3.417e-09 rroots = 2
Mon Apr 25 23:13:07 2022  
Mon Apr 25 23:13:07 2022  commencing square root phase
Mon Apr 25 23:13:07 2022  reading relations for dependency 1
Mon Apr 25 23:13:07 2022  read 98902 cycles
Mon Apr 25 23:13:07 2022  cycles contain 297020 unique relations
Mon Apr 25 23:13:10 2022  read 297020 relations
Mon Apr 25 23:13:11 2022  multiplying 297020 relations
Mon Apr 25 23:13:14 2022  multiply complete, coefficients have about 8.99 million bits
Mon Apr 25 23:13:14 2022  initial square root is modulo 147673
Mon Apr 25 23:13:17 2022  sqrtTime: 10
Mon Apr 25 23:13:17 2022  p60 factor: 718307157820271350377535548502165223480701052509274539093019
Mon Apr 25 23:13:17 2022  p77 factor: 46433044076768626545716239310047956045691294672325046636278338827882449317121
Mon Apr 25 23:13:17 2022  elapsed time 00:00:10
Mon Apr 25 23:13:17 2022 -> Computing time scale for this machine...
Mon Apr 25 23:13:17 2022 -> procrels -speedtest> PIPE

1220517743998248709007941686559986443023348267504498000890468534343877035698121288191760629518275107177145922711787348118292984393696809987<139>

2265372663136148332302557377251829395592045549831579<52>
538771286446346552768376974336615460408902597091302873869877119541359757794513598989753<87>

Tue Apr 26 19:40:26 2022  Msieve v. 1.53 (SVN unknown)
Tue Apr 26 19:40:26 2022  random seeds: d59bf3a0 af60f9a3
Tue Apr 26 19:40:26 2022  factoring 1220517743998248709007941686559986443023348267504498000890468534343877035698121288191760629518275107177145922711787348118292984393696809987 (139 digits)
Tue Apr 26 19:40:26 2022  searching for 15-digit factors
Tue Apr 26 19:40:27 2022  commencing number field sieve (139-digit input)
Tue Apr 26 19:40:27 2022  R0: -100000000000000000000000000000
Tue Apr 26 19:40:27 2022  R1: 1
Tue Apr 26 19:40:27 2022  A0: -7
Tue Apr 26 19:40:27 2022  A1: 0
Tue Apr 26 19:40:27 2022  A2: 0
Tue Apr 26 19:40:27 2022  A3: 0
Tue Apr 26 19:40:27 2022  A4: 0
Tue Apr 26 19:40:27 2022  A5: 106000
Tue Apr 26 19:40:27 2022  skew 0.15, size 1.366e-10, alpha -1.988, combined = 1.493e-09 rroots = 1
Tue Apr 26 19:40:27 2022  
Tue Apr 26 19:40:27 2022  commencing square root phase
Tue Apr 26 19:40:27 2022  reading relations for dependency 1
Tue Apr 26 19:40:27 2022  read 191968 cycles
Tue Apr 26 19:40:27 2022  cycles contain 678262 unique relations
Tue Apr 26 19:40:32 2022  read 678262 relations
Tue Apr 26 19:40:34 2022  multiplying 678262 relations
Tue Apr 26 19:40:46 2022  multiply complete, coefficients have about 24.61 million bits
Tue Apr 26 19:40:46 2022  initial square root is modulo 11695741
Tue Apr 26 19:41:01 2022  sqrtTime: 34
Tue Apr 26 19:41:01 2022  p52 factor: 2265372663136148332302557377251829395592045549831579
Tue Apr 26 19:41:01 2022  p87 factor: 538771286446346552768376974336615460408902597091302873869877119541359757794513598989753
Tue Apr 26 19:41:01 2022  elapsed time 00:00:35
Tue Apr 26 19:41:01 2022 -> Computing time scale for this machine...
Tue Apr 26 19:41:01 2022 -> procrels -speedtest> PIPE

69281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281<149>

82564709204112214177201527885255611569<38>
27350250097497824630447544872795937601299851<44>
30680234646045481079486832387999320303948890744263506529486994344499<68>

Number: n
N=69281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281  ( 149 digits)
SNFS difficulty: 151 digits.
Divisors found:

Tue Apr 26 07:04:57 2022  found factor: 82564709204112214177201527885255611569
Tue Apr 26 07:05:09 2022  p38 factor: 82564709204112214177201527885255611569
Tue Apr 26 07:05:09 2022  p44 factor: 27350250097497824630447544872795937601299851
Tue Apr 26 07:05:09 2022  p68 factor: 30680234646045481079486832387999320303948890744263506529486994344499
Tue Apr 26 07:05:09 2022  elapsed time 00:05:08 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 53x10^150-35 = 58(149)5
#
n: 69281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281
m: 1000000000000000000000000000000
deg: 5
c5: 53
c0: -35
skew: 0.92
# Murphy_E = 1.444e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1233712 hash collisions in 14844263 relations (14261480 unique)
Msieve: matrix is 452134 x 452366 (54.9 MB)

Sieving start time : 2022/04/26 06:44:48
Sieving end time  : 2022/04/26 06:52:34

Total sieving time: 0hrs 7min 46secs.

Total relation processing time: 0hrs 1min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 37sec.

Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

318160408390867659349378928602671449635049165470849159157692447085933092042331833572267339339118496231184533<108>

28348452213690018147466706889242895898581552638461<50>
11223202099098088287869193150154406920236924729501027500153<59>

N=318160408390867659349378928602671449635049165470849159157692447085933092042331833572267339339118496231184533
  ( 108 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=28348452213690018147466706889242895898581552638461 (pp50)
 r2=11223202099098088287869193150154406920236924729501027500153 (pp59)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.51 hours.
Scaled time: 66.76 units (timescale=7.849).
Factorization parameters were as follows:
n: 318160408390867659349378928602671449635049165470849159157692447085933092042331833572267339339118496231184533
m: 1000000000000000000000000000000
deg: 5
c5: 106
c0: -7
skew: 0.58
# Murphy_E = 1.494e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 1800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 308984 x 309212
Total sieving time: 8.44 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 8.51 hours.

GNFS, Msieve

17025569780794092506305081569061881426283188473332094756814758128570999679472296350769637853370344046522068710202328983514253364382783<134>

942431246598308106544016356770534393555647245163093783399018941109<66>
18065582865856410525060740554261005475459738992884011429757198970787<68>

Sat Apr 30 23:40:23 2022  Msieve v. 1.53 (SVN unknown)
Sat Apr 30 23:40:23 2022  random seeds: 508ab9ec 47038973
Sat Apr 30 23:40:23 2022  factoring 17025569780794092506305081569061881426283188473332094756814758128570999679472296350769637853370344046522068710202328983514253364382783 (134 digits)
Sat Apr 30 23:40:23 2022  searching for 15-digit factors
Sat Apr 30 23:40:24 2022  commencing number field sieve (134-digit input)
Sat Apr 30 23:40:24 2022  R0: -1000000000000000000000000000000
Sat Apr 30 23:40:24 2022  R1: 1
Sat Apr 30 23:40:24 2022  A0: -7
Sat Apr 30 23:40:24 2022  A1: 0
Sat Apr 30 23:40:24 2022  A2: 0
Sat Apr 30 23:40:24 2022  A3: 0
Sat Apr 30 23:40:24 2022  A4: 0
Sat Apr 30 23:40:24 2022  A5: 1060
Sat Apr 30 23:40:24 2022  skew 0.37, size 8.353e-11, alpha -0.051, combined = 1.126e-09 rroots = 1
Sat Apr 30 23:40:24 2022  
Sat Apr 30 23:40:24 2022  commencing square root phase
Sat Apr 30 23:40:24 2022  reading relations for dependency 1
Sat Apr 30 23:40:24 2022  read 211550 cycles
Sat Apr 30 23:40:24 2022  cycles contain 733384 unique relations
Sat Apr 30 23:40:30 2022  read 733384 relations
Sat Apr 30 23:40:32 2022  multiplying 733384 relations
Sat Apr 30 23:40:44 2022  multiply complete, coefficients have about 22.31 million bits
Sat Apr 30 23:40:44 2022  initial square root is modulo 2550551
Sat Apr 30 23:40:58 2022  GCD is 1, no factor found
Sat Apr 30 23:40:58 2022  reading relations for dependency 2
Sat Apr 30 23:40:58 2022  read 210069 cycles
Sat Apr 30 23:40:58 2022  cycles contain 727948 unique relations
Sat Apr 30 23:41:04 2022  read 727948 relations
Sat Apr 30 23:41:06 2022  multiplying 727948 relations
Sat Apr 30 23:41:18 2022  multiply complete, coefficients have about 22.14 million bits
Sat Apr 30 23:41:18 2022  initial square root is modulo 2282941
Sat Apr 30 23:41:32 2022  sqrtTime: 68
Sat Apr 30 23:41:32 2022  p66 factor: 942431246598308106544016356770534393555647245163093783399018941109
Sat Apr 30 23:41:32 2022  p68 factor: 18065582865856410525060740554261005475459738992884011429757198970787
Sat Apr 30 23:41:32 2022  elapsed time 00:01:09
Sat Apr 30 23:41:32 2022 -> Computing time scale for this machine...
Sat Apr 30 23:41:32 2022 -> procrels -speedtest> PIPE

2396328565466160151471407733079673797670838144261104051796105291557858507685386276832653213820226618812415277936256181413125985559569920281<139>

137571230913928867913074949803961949094568971<45>
17418820414316258783425794681188015956161561884204816304622469216379690893978279787827599749611<95>

Wed Apr 27 13:58:28 2022  Msieve v. 1.53 (SVN unknown)
Wed Apr 27 13:58:28 2022  random seeds: be7f11d8 74f066f7
Wed Apr 27 13:58:28 2022  factoring 2396328565466160151471407733079673797670838144261104051796105291557858507685386276832653213820226618812415277936256181413125985559569920281 (139 digits)
Wed Apr 27 13:58:28 2022  searching for 15-digit factors
Wed Apr 27 13:58:29 2022  commencing number field sieve (139-digit input)
Wed Apr 27 13:58:29 2022  R0: -10000000000000000000000000000000
Wed Apr 27 13:58:29 2022  R1: 1
Wed Apr 27 13:58:29 2022  A0: -35
Wed Apr 27 13:58:29 2022  A1: 0
Wed Apr 27 13:58:29 2022  A2: 0
Wed Apr 27 13:58:29 2022  A3: 0
Wed Apr 27 13:58:29 2022  A4: 0
Wed Apr 27 13:58:29 2022  A5: 53
Wed Apr 27 13:58:29 2022  skew 0.92, size 6.038e-11, alpha -0.227, combined = 9.295e-10 rroots = 1
Wed Apr 27 13:58:29 2022  
Wed Apr 27 13:58:29 2022  commencing square root phase
Wed Apr 27 13:58:29 2022  reading relations for dependency 1
Wed Apr 27 13:58:29 2022  read 238236 cycles
Wed Apr 27 13:58:29 2022  cycles contain 821194 unique relations
Wed Apr 27 13:58:36 2022  read 821194 relations
Wed Apr 27 13:58:38 2022  multiplying 821194 relations
Wed Apr 27 13:58:50 2022  multiply complete, coefficients have about 22.07 million bits
Wed Apr 27 13:58:50 2022  initial square root is modulo 2180491
Wed Apr 27 13:59:03 2022  sqrtTime: 34
Wed Apr 27 13:59:03 2022  p45 factor: 137571230913928867913074949803961949094568971
Wed Apr 27 13:59:03 2022  p95 factor: 17418820414316258783425794681188015956161561884204816304622469216379690893978279787827599749611
Wed Apr 27 13:59:03 2022  elapsed time 00:00:35
Wed Apr 27 13:59:03 2022 -> Computing time scale for this machine...
Wed Apr 27 13:59:03 2022 -> procrels -speedtest> PIPE

1177777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<157>

24466661325858962927011454631003569590564773364047652547<56>
48138066820460595189155909798137721444148061316897771094282599982281911137041218015613336707820668091<101>

Number: n
N=1177777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777  ( 157 digits)
SNFS difficulty: 157 digits.
Divisors found:

Mon Apr 25 12:31:04 2022  p56 factor: 24466661325858962927011454631003569590564773364047652547
Mon Apr 25 12:31:04 2022  p101 factor: 48138066820460595189155909798137721444148061316897771094282599982281911137041218015613336707820668091
Mon Apr 25 12:31:04 2022  elapsed time 00:05:30 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 53x10^156-35 = 58(155)5
#
n: 1177777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
m: 10000000000000000000000000000000
deg: 5
c5: 106
c0: -7
skew: 0.58
# Murphy_E = 9.615e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1594163 hash collisions in 15629040 relations (15046992 unique)
Msieve: matrix is 331405 x 331631 (110.7 MB)

Sieving start time : 2022/04/25 11:51:40
Sieving end time  : 2022/04/25 12:15:49

Total sieving time: 0hrs 24min 9secs.

Total relation processing time: 0hrs 1min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 14sec.

Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

25676271158570091538387753955206478932185791353969047753570367284433893684395316575970079284844447379366014058086258920636714149<128>

4763668524961670604465401378296041362419<40>
5390020532290644166369558607729180592603237871692668036541953520735102252177664196049671<88>

Sat Apr 30 17:17:30 2022  Msieve v. 1.53 (SVN unknown)
Sat Apr 30 17:17:30 2022  random seeds: 79c76614 174ae8eb
Sat Apr 30 17:17:30 2022  factoring 25676271158570091538387753955206478932185791353969047753570367284433893684395316575970079284844447379366014058086258920636714149 (128 digits)
Sat Apr 30 17:17:30 2022  searching for 15-digit factors
Sat Apr 30 17:17:31 2022  commencing number field sieve (128-digit input)
Sat Apr 30 17:17:31 2022  R0: -10000000000000000000000000000000
Sat Apr 30 17:17:31 2022  R1: 1
Sat Apr 30 17:17:31 2022  A0: -7
Sat Apr 30 17:17:31 2022  A1: 0
Sat Apr 30 17:17:31 2022  A2: 0
Sat Apr 30 17:17:31 2022  A3: 0
Sat Apr 30 17:17:31 2022  A4: 0
Sat Apr 30 17:17:31 2022  A5: 1060
Sat Apr 30 17:17:31 2022  skew 0.37, size 3.877e-11, alpha -0.051, combined = 7.244e-10 rroots = 1
Sat Apr 30 17:17:31 2022  
Sat Apr 30 17:17:31 2022  commencing square root phase
Sat Apr 30 17:17:31 2022  reading relations for dependency 1
Sat Apr 30 17:17:31 2022  read 287996 cycles
Sat Apr 30 17:17:31 2022  cycles contain 1013506 unique relations
Sat Apr 30 17:17:39 2022  read 1013506 relations
Sat Apr 30 17:17:41 2022  multiplying 1013506 relations
Sat Apr 30 17:17:58 2022  multiply complete, coefficients have about 31.03 million bits
Sat Apr 30 17:17:58 2022  initial square root is modulo 813378161
Sat Apr 30 17:18:16 2022  Newton iteration failed to converge
Sat Apr 30 17:18:16 2022  algebraic square root failed
Sat Apr 30 17:18:16 2022  reading relations for dependency 2
Sat Apr 30 17:18:16 2022  read 288420 cycles
Sat Apr 30 17:18:17 2022  cycles contain 1014588 unique relations
Sat Apr 30 17:18:25 2022  read 1014588 relations
Sat Apr 30 17:18:27 2022  multiplying 1014588 relations
Sat Apr 30 17:18:44 2022  multiply complete, coefficients have about 31.06 million bits
Sat Apr 30 17:18:44 2022  initial square root is modulo 831501241
Sat Apr 30 17:19:02 2022  sqrtTime: 91
Sat Apr 30 17:19:02 2022  p40 factor: 4763668524961670604465401378296041362419
Sat Apr 30 17:19:02 2022  p88 factor: 5390020532290644166369558607729180592603237871692668036541953520735102252177664196049671
Sat Apr 30 17:19:02 2022  elapsed time 00:01:32
Sat Apr 30 17:19:02 2022 -> Computing time scale for this machine...
Sat Apr 30 17:19:02 2022 -> procrels -speedtest> PIPE

107816662479264082663259202855647784553677455243763099555408976003902244655676245179624794239585175030440154280947321204226306321087348104391828003<147>

988564276892784397771498948260129468199<39>
5999468424437108928938907294618609952223622189967<49>
18178925060510850054525953748744874795448027833709895601291<59>

Number: n
N=107816662479264082663259202855647784553677455243763099555408976003902244655676245179624794239585175030440154280947321204226306321087348104391828003  ( 147 digits)
SNFS difficulty: 163 digits.
Divisors found:

Fri Apr 29 03:32:19 2022  found factor: 988564276892784397771498948260129468199
Fri Apr 29 03:32:48 2022  p39 factor: 988564276892784397771498948260129468199
Fri Apr 29 03:32:48 2022  p49 factor: 5999468424437108928938907294618609952223622189967
Fri Apr 29 03:32:48 2022  p59 factor: 18178925060510850054525953748744874795448027833709895601291
Fri Apr 29 03:32:48 2022  elapsed time 00:08:09 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
#
# N = 53x10^162-35 = 58(161)5
#
n: 107816662479264082663259202855647784553677455243763099555408976003902244655676245179624794239585175030440154280947321204226306321087348104391828003
m: 100000000000000000000000000000000
deg: 5
c5: 1060
c0: -7
skew: 0.37
# Murphy_E = 4.636e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1630815 hash collisions in 14596923 relations (13850095 unique)
Msieve: matrix is 465894 x 466121 (157.8 MB)

Sieving start time : 2022/04/29 02:58:35
Sieving end time  : 2022/04/29 03:24:06

Total sieving time: 0hrs 25min 31secs.

Total relation processing time: 0hrs 3min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 25sec.

Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

18321152953343376704482711534375272470323282144750610276302269194155188087523589602013050915095998932817753572302680424678045293705201513<137>

409833217875080593267980310033701434735941557238064663<54>
44703923826222803509909398881465274045691991927203459292700018175135382155358989951<83>

Fri May  6 19:47:56 2022  Msieve v. 1.53 (SVN unknown)
Fri May  6 19:47:56 2022  random seeds: 3a5bbbe4 26d07caf
Fri May  6 19:47:56 2022  factoring 18321152953343376704482711534375272470323282144750610276302269194155188087523589602013050915095998932817753572302680424678045293705201513 (137 digits)
Fri May  6 19:47:56 2022  searching for 15-digit factors
Fri May  6 19:47:56 2022  commencing number field sieve (137-digit input)
Fri May  6 19:47:56 2022  R0: -100000000000000000000000000000000
Fri May  6 19:47:56 2022  R1: 1
Fri May  6 19:47:56 2022  A0: -7
Fri May  6 19:47:56 2022  A1: 0
Fri May  6 19:47:56 2022  A2: 0
Fri May  6 19:47:56 2022  A3: 0
Fri May  6 19:47:56 2022  A4: 0
Fri May  6 19:47:56 2022  A5: 106000
Fri May  6 19:47:56 2022  skew 0.15, size 1.366e-11, alpha -1.988, combined = 3.962e-10 rroots = 1
Fri May  6 19:47:56 2022  
Fri May  6 19:47:56 2022  commencing linear algebra
Fri May  6 19:47:56 2022  read 609357 cycles
Fri May  6 19:47:57 2022  cycles contain 2029011 unique relations
Fri May  6 19:48:14 2022  read 2029011 relations
Fri May  6 19:48:16 2022  using 20 quadratic characters above 4294917295
Fri May  6 19:48:24 2022  building initial matrix
Fri May  6 19:48:38 2022  memory use: 247.3 MB
Fri May  6 19:48:38 2022  read 609357 cycles
Fri May  6 19:48:38 2022  matrix is 609179 x 609357 (182.9 MB) with weight 55750328 (91.49/col)
Fri May  6 19:48:38 2022  sparse part has weight 41236859 (67.67/col)
Fri May  6 19:48:41 2022  filtering completed in 2 passes
Fri May  6 19:48:41 2022  matrix is 608793 x 608971 (182.8 MB) with weight 55737761 (91.53/col)
Fri May  6 19:48:41 2022  sparse part has weight 41233413 (67.71/col)
Fri May  6 19:48:42 2022  matrix starts at (0, 0)
Fri May  6 19:48:42 2022  matrix is 608793 x 608971 (182.8 MB) with weight 55737761 (91.53/col)
Fri May  6 19:48:42 2022  sparse part has weight 41233413 (67.71/col)
Fri May  6 19:48:42 2022  saving the first 48 matrix rows for later
Fri May  6 19:48:42 2022  matrix includes 64 packed rows
Fri May  6 19:48:42 2022  matrix is 608745 x 608971 (174.4 MB) with weight 44224132 (72.62/col)
Fri May  6 19:48:42 2022  sparse part has weight 39621401 (65.06/col)
Fri May  6 19:48:42 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Fri May  6 19:48:44 2022  commencing Lanczos iteration (6 threads)
Fri May  6 19:48:44 2022  memory use: 136.5 MB
Fri May  6 19:48:46 2022  linear algebra at 0.5%, ETA 0h 3m
Fri May  6 19:52:47 2022  lanczos halted after 9628 iterations (dim = 608743)
Fri May  6 19:52:47 2022  recovered 38 nontrivial dependencies
Fri May  6 19:52:47 2022  BLanczosTime: 291
Fri May  6 19:52:47 2022  elapsed time 00:04:51
Fri May 06 19:52:47 2022 -> Running square root step ...
Fri May 06 19:52:47 2022 -> msieve-1.53-SVN998-win64-core2 -s ..\58885_164\58885_164.dat -l ..\58885_164\58885_164.log -i ..\58885_164\58885_164.ini -nf ..\58885_164\58885_164.fb -t 6 -nc3
Fri May  6 19:52:47 2022  
Fri May  6 19:52:47 2022  
Fri May  6 19:52:47 2022  Msieve v. 1.53 (SVN unknown)
Fri May  6 19:52:47 2022  random seeds: 53db3280 44937186
Fri May  6 19:52:47 2022  factoring 18321152953343376704482711534375272470323282144750610276302269194155188087523589602013050915095998932817753572302680424678045293705201513 (137 digits)
Fri May  6 19:52:48 2022  searching for 15-digit factors
Fri May  6 19:52:48 2022  commencing number field sieve (137-digit input)
Fri May  6 19:52:48 2022  R0: -100000000000000000000000000000000
Fri May  6 19:52:48 2022  R1: 1
Fri May  6 19:52:48 2022  A0: -7
Fri May  6 19:52:48 2022  A1: 0
Fri May  6 19:52:48 2022  A2: 0
Fri May  6 19:52:48 2022  A3: 0
Fri May  6 19:52:48 2022  A4: 0
Fri May  6 19:52:48 2022  A5: 106000
Fri May  6 19:52:48 2022  skew 0.15, size 1.366e-11, alpha -1.988, combined = 3.962e-10 rroots = 1
Fri May  6 19:52:48 2022  
Fri May  6 19:52:48 2022  commencing square root phase
Fri May  6 19:52:48 2022  reading relations for dependency 1
Fri May  6 19:52:48 2022  read 304454 cycles
Fri May  6 19:52:48 2022  cycles contain 1013568 unique relations
Fri May  6 19:52:57 2022  read 1013568 relations
Fri May  6 19:53:00 2022  multiplying 1013568 relations
Fri May  6 19:53:23 2022  multiply complete, coefficients have about 37.34 million bits
Fri May  6 19:53:24 2022  initial square root is modulo 229841
Fri May  6 19:53:50 2022  sqrtTime: 62
Fri May  6 19:53:50 2022  p54 factor: 409833217875080593267980310033701434735941557238064663
Fri May  6 19:53:50 2022  p83 factor: 44703923826222803509909398881465274045691991927203459292700018175135382155358989951
Fri May  6 19:53:50 2022  elapsed time 00:01:03
Fri May 06 19:53:50 2022 -> Computing time scale for this machine...
Fri May 06 19:53:50 2022 -> procrels -speedtest> PIPE

192500821760583459094483398620168637984044224339731261588640272261539607044077240046708689959266099697265217099157899707071862736017811774149318892139610312959119<162>

9170881566634613011879551422924693335677178747930634767328784349<64>
20990438090590718021834103205481171398098743278454514265365893745776105648215110734998681568400731<98>

Number: n
N=192500821760583459094483398620168637984044224339731261588640272261539607044077240046708689959266099697265217099157899707071862736017811774149318892139610312959119  ( 162 digits)
SNFS difficulty: 167 digits.
Divisors found:

Wed Apr 27 05:06:52 2022  p64 factor: 9170881566634613011879551422924693335677178747930634767328784349
Wed Apr 27 05:06:52 2022  p98 factor: 20990438090590718021834103205481171398098743278454514265365893745776105648215110734998681568400731
Wed Apr 27 05:06:52 2022  elapsed time 00:08:29 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 53x10^166-35 = 58(165)5
#
n: 192500821760583459094483398620168637984044224339731261588640272261539607044077240046708689959266099697265217099157899707071862736017811774149318892139610312959119
m: 1000000000000000000000000000000000
deg: 5
c5: 106
c0: -7
skew: 0.58
# Murphy_E = 3.924e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1590628 hash collisions in 14643844 relations (13954278 unique)
Msieve: matrix is 488718 x 488945 (166.6 MB)

Sieving start time : 2022/04/27 04:13:00
Sieving end time  : 2022/04/27 04:57:53

Total sieving time: 0hrs 44min 53secs.

Total relation processing time: 0hrs 3min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 19sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

3129115913665089408768316948505203551147952500456217697432715415237953117883693213644221807667224649822420067<109>

12535746957854203585515490325826572216481613517<47>
249615433702142413969591643461997631948531032365314424548487151<63>

N=3129115913665089408768316948505203551147952500456217697432715415237953117883693213644221807667224649822420067
  ( 109 digits)
Divisors found:
 r1=12535746957854203585515490325826572216481613517 (pp47)
 r2=249615433702142413969591643461997631948531032365314424548487151 (pp63)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.99 hours.
Scaled time: 71.22 units (timescale=7.918).
Factorization parameters were as follows:
name: 1
n: 3129115913665089408768316948505203551147952500456217697432715415237953117883693213644221807667224649822420067
skew: 64163.61
# norm 1.57e+015
c5: 2400
c4: -923202124
c3: -20191158981684
c2: 3193522148162987119
c1: 39018880981101773341996
c0: -1914669217070793826182314747
# alpha -6.39
Y1: 353235186299
Y0: -1054516245682513605770
# Murphy_E 1.19e-009
# M 971243385552246120589370250889215885032034342044144891614777551329441685898204330961776149134544099348370304
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 395231 x 395457
Polynomial selection time: 1.24 hours.
Total sieving time: 7.68 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 8.99 hours.

GNFS, Msieve

1974771161483257632198839796407202545398663183710352096239177406017568613020935467155743810905510754860372399592710649761847583<127>

71295804590579147487888163679677224436566083431712158637407141<62>
27698280043594585414479142993473452248440400200973817199323739763<65>

1974771161483257632198839796407202545398663183710352096239177406017568613020935467155743810905510754860372399592710649761847583=71295804590579147487888163679677224436566083431712158637407141*27698280043594585414479142993473452248440400200973817199323739763

cado polynomial
n: 1974771161483257632198839796407202545398663183710352096239177406017568613020935467155743810905510754860372399592710649761847583
skew: 0.15
type: snfs
c0: -7
c5: 106000
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 106000*x^5-7
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4800000
tasks.lim1 = 4800000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 71295804590579147487888163679677224436566083431712158637407141 27698280043594585414479142993473452248440400200973817199323739763
Info:Square Root: Total cpu/real time for sqrt: 175.03/53.6208
Info:Filtering - Singleton removal: Total cpu/real time for purge: 57.19/73.3116
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11641490
Info:Lattice Sieving: Average J: 1892.89 for 340796 special-q, max bucket fill -bkmult 1.0,1s:1.229660
Info:Lattice Sieving: Total time: 91814.8s
Info:Linear Algebra: Total cpu/real time for bwc: 6526.27/3214.88
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4062.94, WCT time 2079.94, iteration CPU time 0.07, COMM 0.02, cpu-wait 0.01, comm-wait 0.0 (20224 iterations)
Info:Linear Algebra: Lingen CPU time 153.37, WCT time 74.45
Info:Linear Algebra: Mksol: CPU time 2202.31,  WCT time 995.46, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (10240 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 47.7/62.0214
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 61.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 111.16/121.251
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 111.1s
Info:Filtering - Merging: Merged matrix has 646065 rows and total weight 110346382 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 156.24/69.916
Info:Filtering - Merging: Total cpu/real time for replay: 29.53/29.6856
Info:Generate Factor Base: Total cpu/real time for makefb: 2.14/1.18613
Info:Quadratic Characters: Total cpu/real time for characters: 22.34/8.8415
Info:Square Root: Total cpu/real time for sqrt: 175.03/53.6208
Info:Generate Free Relations: Total cpu/real time for freerel: 59.55/16.7975
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 91200.6/49889.9
Info:root: Cleaning up computation data in /tmp/cado.g9h5iwcv
71295804590579147487888163679677224436566083431712158637407141 27698280043594585414479142993473452248440400200973817199323739763

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

550601577767909046327065096876046261884160958750237347535065242268432451092710942256224963746349<96>

486505418502127479891808336929562481759<39>
1131748089184953805452285212933825993154055252229897633011<58>

prp58 = 1131748089184953805452285212933825993154055252229897633011
prp39 = 486505418502127479891808336929562481759

Yafu

8517281857282689882776302992225510057771644882460221474792628714534733127083841586291545260905090472733067932434841772376888697578391029<136>

39696979731320031254351014646768534607019<41>
437813140707195871271000576887433512274278073<45>
490066212539816350095956911106317224092406507073367<51>

Number: n
N=8517281857282689882776302992225510057771644882460221474792628714534733127083841586291545260905090472733067932434841772376888697578391029  ( 136 digits)
SNFS difficulty: 177 digits.
Divisors found:

Thu Jun 16 19:10:13 2022  found factor: 39696979731320031254351014646768534607019
Thu Jun 16 19:13:47 2022  p41 factor: 39696979731320031254351014646768534607019
Thu Jun 16 19:13:47 2022  p45 factor: 437813140707195871271000576887433512274278073
Thu Jun 16 19:13:47 2022  p51 factor: 490066212539816350095956911106317224092406507073367
Thu Jun 16 19:13:47 2022  elapsed time 00:19:36 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 53x10^176-35 = 58(175)5
#
n: 8517281857282689882776302992225510057771644882460221474792628714534733127083841586291545260905090472733067932434841772376888697578391029
m: 100000000000000000000000000000000000
deg: 5
c5: 106
c0: -7
skew: 0.58
# Murphy_E = 1.571e-10
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3554111 hash collisions in 28869040 relations (26932513 unique)
Msieve: matrix is 786307 x 786534 (268.7 MB)

Sieving start time : 2022/06/16 17:25:06
Sieving end time  : 2022/06/16 18:53:22

Total sieving time: 1hrs 28min 16secs.

Total relation processing time: 0hrs 8min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 17sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

12858738272747015913312845902950693289060392343717763088119951782493327886071686824875064565936150233919024007075023412785344448781413449255000896884529287<155>

33349825577267401687650114967085674131406991279971<50>
385571380064789760611644749370762641127486911624273845020486992376737248866899710822098165170285186125197<105>

Number: n
N=12858738272747015913312845902950693289060392343717763088119951782493327886071686824875064565936150233919024007075023412785344448781413449255000896884529287  ( 155 digits)
SNFS difficulty: 178 digits.
Divisors found:

Wed Apr 27 20:55:34 2022  p50 factor: 33349825577267401687650114967085674131406991279971
Wed Apr 27 20:55:34 2022  p105 factor: 385571380064789760611644749370762641127486911624273845020486992376737248866899710822098165170285186125197
Wed Apr 27 20:55:34 2022  elapsed time 00:23:33 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 53x10^177-35 = 58(176)5
#
n: 12858738272747015913312845902950693289060392343717763088119951782493327886071686824875064565936150233919024007075023412785344448781413449255000896884529287
m: 100000000000000000000000000000000000
deg: 5
c5: 1060
c0: -7
skew: 0.37
# Murphy_E = 1.181e-10
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4771113 hash collisions in 32430502 relations (29304249 unique)
Msieve: matrix is 875897 x 876125 (295.8 MB)

Sieving start time : 2022/04/27 18:33:43
Sieving end time  : 2022/04/27 20:31:31

Total sieving time: 1hrs 57min 48secs.

Total relation processing time: 0hrs 11min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 30sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

603679025001423771285380716441710803576513468876359701577538584201833817415570362776923515006549347912751295631869696451961956831254627256677487328435560111623668773848169030127<177>

125328298119797517851222378586845737<36>
2236760736464559073072229401419855790087884333277859<52>
2153462996316844651445931442348681939268216712158395633839824768808341907423396986702535869<91>

Number: n
N=603679025001423771285380716441710803576513468876359701577538584201833817415570362776923515006549347912751295631869696451961956831254627256677487328435560111623668773848169030127  ( 177 digits)
SNFS difficulty: 181 digits.
Divisors found:

Thu Apr 28 17:25:42 2022  found factor: 2236760736464559073072229401419855790087884333277859
Thu Apr 28 17:27:09 2022  p36 factor: 125328298119797517851222378586845737
Thu Apr 28 17:27:09 2022  p52 factor: 2236760736464559073072229401419855790087884333277859
Thu Apr 28 17:27:09 2022  p91 factor: 2153462996316844651445931442348681939268216712158395633839824768808341907423396986702535869
Thu Apr 28 17:27:09 2022  elapsed time 00:20:21 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 53x10^180-35 = 58(179)5
#
n: 603679025001423771285380716441710803576513468876359701577538584201833817415570362776923515006549347912751295631869696451961956831254627256677487328435560111623668773848169030127
m: 1000000000000000000000000000000000000
deg: 5
c5: 53
c0: -35
skew: 0.92
# Murphy_E = 9.565e-11
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3467171 hash collisions in 31546070 relations (30032259 unique)
Msieve: matrix is 814221 x 814452 (275.4 MB)

Sieving start time : 2022/04/28 14:27:59
Sieving end time  : 2022/04/28 17:06:17

Total sieving time: 2hrs 38min 18secs.

Total relation processing time: 0hrs 9min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 54sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

856883932066689034700133870927182277909346592569652812965830992599852312472541035692081091842287298427176323<108>

15461662252572535254560145108091791992910792886477<50>
55419910102105571615232596144867501583259911324998399936399<59>

856883932066689034700133870927182277909346592569652812965830992599852312472541035692081091842287298427176323=15461662252572535254560145108091791992910792886477*55419910102105571615232596144867501583259911324998399936399

cado polynomial
n: 856883932066689034700133870927182277909346592569652812965830992599852312472541035692081091842287298427176323
skew: 11743.859
c0: 245141213701658955726240
c1: 823388236967099389082
c2: 495533724830930367
c3: -13115795287025
c4: -1662821184
c5: 40320
Y0: -1016314700260542584066
Y1: 1443365672221663
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.928e-06
# f(x) = 40320*x^5-1662821184*x^4-13115795287025*x^3+495533724830930367*x^2+823388236967099389082*x+245141213701658955726240
# g(x) = 1443365672221663*x-1016314700260542584066

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 55419910102105571615232596144867501583259911324998399936399 15461662252572535254560145108091791992910792886477
Info:Square Root: Total cpu/real time for sqrt: 81.03/24.5712
Info:Filtering - Singleton removal: Total cpu/real time for purge: 61.87/70.9547
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5093310
Info:Lattice Sieving: Average J: 1899.09 for 74224 special-q, max bucket fill -bkmult 1.0,1s:1.294910
Info:Lattice Sieving: Total time: 7322.09s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.27/0.616931
Info:Linear Algebra: Total cpu/real time for bwc: 989.66/256.55
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 593.59, WCT time 151.86, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8832 iterations)
Info:Linear Algebra: Lingen CPU time 43.19, WCT time 11.03
Info:Linear Algebra: Mksol: CPU time 330.65,  WCT time 84.68, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4480 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.17/16.585
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 20/21.6681
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.800000000000004s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 245.15
Info:Polynomial Selection (root optimized): Rootsieve time: 244.18
Info:Filtering - Merging: Merged matrix has 282005 rows and total weight 44063490 (156.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 43.97/13.1011
Info:Filtering - Merging: Total cpu/real time for replay: 9.39/7.56404
Info:Quadratic Characters: Total cpu/real time for characters: 10.57/4.12303
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 13345/30.940/38.302/42.910/0.996
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9035/30.590/33.904/38.720/0.844
Info:Polynomial Selection (size optimized): Total time: 733.84
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 82.21/92.2645
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 65.3s
Info:Square Root: Total cpu/real time for sqrt: 81.03/24.5712
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 15571.2/4385.77
Info:root: Cleaning up computation data in /tmp/cado.qcjtwrwz
55419910102105571615232596144867501583259911324998399936399 15461662252572535254560145108091791992910792886477

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

151692994517378514616798776451869960784214894675606142305370626059857548722223980265725255742430946226548977401666759728174448726364938188517701815331568318892924670364117<171>

267554876411819523391381196718867657177099111602637236722963<60>
566960305682835665266147497025373533127571016166741224733501245107216207815798641106113922967433474629328151159<111>

Number: n
N=151692994517378514616798776451869960784214894675606142305370626059857548722223980265725255742430946226548977401666759728174448726364938188517701815331568318892924670364117  ( 171 digits)
SNFS difficulty: 186 digits.
Divisors found:

Mon May  2 06:26:38 2022  p60 factor: 267554876411819523391381196718867657177099111602637236722963
Mon May  2 06:26:38 2022  p111 factor: 566960305682835665266147497025373533127571016166741224733501245107216207815798641106113922967433474629328151159
Mon May  2 06:26:38 2022  elapsed time 00:23:55 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 53x10^185-35 = 58(184)5
#
n: 151692994517378514616798776451869960784214894675606142305370626059857548722223980265725255742430946226548977401666759728174448726364938188517701815331568318892924670364117
m: 10000000000000000000000000000000000000
deg: 5
c5: 53
c0: -35
skew: 0.92
# Murphy_E = 5.987e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3136940 hash collisions in 29784277 relations (28489090 unique)
Msieve: matrix is 986412 x 986637 (339.4 MB)

Sieving start time : 2022/05/02 02:28:10
Sieving end time  : 2022/05/02 06:01:45

Total sieving time: 3hrs 33min 35secs.

Total relation processing time: 0hrs 15min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 4sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

12870332675679666922863087295504566479296612725877188756764657378011448408351315614363110184691313811944950616023270748539420936439183456255494119<146>

68877458974736696915828410478103254364049<41>
186858413002726010034404201103923817417609674896648854805298597525952697917214348017771026676301302461431<105>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1778574549
Step 1 took 5938ms
Step 2 took 3406ms
********** Factor found in step 2: 68877458974736696915828410478103254364049
Found prime factor of 41 digits: 68877458974736696915828410478103254364049
Prime cofactor 186858413002726010034404201103923817417609674896648854805298597525952697917214348017771026676301302461431 has 105 digits
 

GMP-ECM

48501360855536732916685611603160394858576772468738213766845726006995636476443585304605511577392601654578405318337925916248572861864187503336685078081410291465387086238503693<173>

5817252702183312210409478651560676206944320048033<49>
94870921540706189235791672812206994745091914063687329<53>
87882595558051933755938267990712725284980069974083781161349307982707149<71>

Number: n
N=48501360855536732916685611603160394858576772468738213766845726006995636476443585304605511577392601654578405318337925916248572861864187503336685078081410291465387086238503693  ( 173 digits)
SNFS difficulty: 189 digits.
Divisors found:

Mon May  2 21:10:12 2022  found factor: 5817252702183312210409478651560676206944320048033
Mon May  2 21:11:40 2022  p49 factor: 5817252702183312210409478651560676206944320048033
Mon May  2 21:11:40 2022  p53 factor: 94870921540706189235791672812206994745091914063687329
Mon May  2 21:11:40 2022  p71 factor: 87882595558051933755938267990712725284980069974083781161349307982707149
Mon May  2 21:11:40 2022  elapsed time 00:30:49 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.341).
Factorization parameters were as follows:
#
# N = 53x10^188-35 = 58(187)5
#
n: 48501360855536732916685611603160394858576772468738213766845726006995636476443585304605511577392601654578405318337925916248572861864187503336685078081410291465387086238503693
m: 10000000000000000000000000000000000000
deg: 5
c5: 10600
c0: -7
skew: 0.23
# Murphy_E = 4.5e-11
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3350280 hash collisions in 29969724 relations (28421834 unique)
Msieve: matrix is 1072563 x 1072790 (371.5 MB)

Sieving start time : 2022/05/02 17:01:45
Sieving end time  : 2022/05/02 20:40:19

Total sieving time: 3hrs 38min 34secs.

Total relation processing time: 0hrs 18min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 25sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

47970338545821998247806451052032742869604025355835712288771156101586532510283607384483317887110596760469812625730653310167642258901338685157729708873762755024518477248942356990272353<182>

830138106686285914102485193797655661<36>
57785973393400999562372044413592753674879040575904224410192917988219636165694357348175608427656244474849417942959929209316345688779706961137263173<146>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 47970338545821998247806451052032742869604025355835712288771156101586532510283607384483317887110596760469812625730653310167642258901338685157729708873762755024518477248942356990272353 (182 digits)
Using B1=17100000, B2=58559441860, polynomial Dickson(12), sigma=1:726785332
Step 1 took 47437ms
Step 2 took 18076ms
********** Factor found in step 2: 830138106686285914102485193797655661
Found prime factor of 36 digits: 830138106686285914102485193797655661
Prime cofactor 57785973393400999562372044413592753674879040575904224410192917988219636165694357348175608427656244474849417942959929209316345688779706961137263173 has 146 digits

20814153073789584714658824742695588105511578477572371999993634321823460203804229292952301869913425172913213908212129345819982776012635138760624239137<149>

26582628421560269000501295258802969130383<41>

782998307906524795315455335527322909743384090328914423494885421878244500549315011642092363629024510256047439<108>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3014919082
Step 1 took 3453ms
Step 2 took 2594ms
********** Factor found in step 2: 26582628421560269000501295258802969130383
Found prime factor of 41 digits: 26582628421560269000501295258802969130383
Composite cofactor 782998307906524795315455335527322909743384090328914423494885421878244500549315011642092363629024510256047439 has 108 digits
 

GMP-ECM

782998307906524795315455335527322909743384090328914423494885421878244500549315011642092363629024510256047439<108>

281283631342396062813138014697670363565117629<45>
2783661118742491588684060850339389496253294129520820300216560891<64>

782998307906524795315455335527322909743384090328914423494885421878244500549315011642092363629024510256047439=281283631342396062813138014697670363565117629*2783661118742491588684060850339389496253294129520820300216560891

cado polynomial
n: 782998307906524795315455335527322909743384090328914423494885421878244500549315011642092363629024510256047439
skew: 5235.546
c0: 44617642680456820371540
c1: -38628301113341691824
c2: 11153077962347549
c3: 6162465311448
c4: -340831470
c5: -25200
Y0: -858227068974524767755
Y1: 64481574996509
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.965e-06
# f(x) = -25200*x^5-340831470*x^4+6162465311448*x^3+11153077962347549*x^2-38628301113341691824*x+44617642680456820371540
# g(x) = 64481574996509*x-858227068974524767755

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2783661118742491588684060850339389496253294129520820300216560891 281283631342396062813138014697670363565117629
Info:Square Root: Total cpu/real time for sqrt: 80.12/24.2904
Info:Filtering - Singleton removal: Total cpu/real time for purge: 54.63/62.4529
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4959796
Info:Lattice Sieving: Average J: 1885.4 for 67072 special-q, max bucket fill -bkmult 1.0,1s:1.297900
Info:Lattice Sieving: Total time: 6655.28s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.27/0.612199
Info:Linear Algebra: Total cpu/real time for bwc: 1014.61/262.66
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 609.13, WCT time 155.81, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8960 iterations)
Info:Linear Algebra: Lingen CPU time 43.85, WCT time 11.16
Info:Linear Algebra: Mksol: CPU time 339.18,  WCT time 86.71, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4480 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.88/16.3494
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 18.97/20.3509
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.699999999999996s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 248.12
Info:Polynomial Selection (root optimized): Rootsieve time: 247.11
Info:Filtering - Merging: Merged matrix has 285212 rows and total weight 44227664 (155.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 43.49/12.9296
Info:Filtering - Merging: Total cpu/real time for replay: 9.57/7.69911
Info:Quadratic Characters: Total cpu/real time for characters: 10.79/4.18629
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11264/31.270/38.217/44.670/1.066
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 8626/30.660/33.885/38.730/0.833
Info:Polynomial Selection (size optimized): Total time: 723.07
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 74.91/80.7771
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 58.400000000000006s
Info:Square Root: Total cpu/real time for sqrt: 80.12/24.2904
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 14343/4050.62
Info:root: Cleaning up computation data in /tmp/cado.wtsswnfq
2783661118742491588684060850339389496253294129520820300216560891 281283631342396062813138014697670363565117629

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

6046888936343990344572324950563513223419545186296429456643983774606911107212293961380885236916193385072012510345777817201928322049701112918660262682439417477321719502513<169>

121514353988300452494461700712957946460962982495181<51>
49762754258037631109989396799581805965877938130515765602885099239633376511298854817474519800848568233737164375984800373<119>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 6046888936343990344572324950563513223419545186296429456643983774606911107212293961380885236916193385072012510345777817201928322049701112918660262682439417477321719502513 (169 digits)
Using B1=29120000, B2=144288594466, polynomial Dickson(12), sigma=1:1271367705
Step 1 took 52664ms
Step 2 took 18658ms
********** Factor found in step 2: 121514353988300452494461700712957946460962982495181
Found prime factor of 51 digits: 121514353988300452494461700712957946460962982495181
Prime cofactor 49762754258037631109989396799581805965877938130515765602885099239633376511298854817474519800848568233737164375984800373 has 119 digits

198513025076315148791130587860741240144577410715957825345993220592917205086428076483697586006704496507294417289360825514542015469033840852482349195647695563421165983107665224638088282113227334869<195>

392216607404351446740147840644487722634151989179<48>
172254525982563636493960289401178714547247201236384967570507499<63>
2938274640680472741093354685836479160201310720371701109913804083351787889644680333389<85>

Number: n
N=198513025076315148791130587860741240144577410715957825345993220592917205086428076483697586006704496507294417289360825514542015469033840852482349195647695563421165983107665224638088282113227334869  ( 195 digits)
SNFS difficulty: 199 digits.
Divisors found:

Fri Aug 26 10:48:19 2022  found factor: 172254525982563636493960289401178714547247201236384967570507499
Fri Aug 26 10:50:48 2022  p48 factor: 392216607404351446740147840644487722634151989179
Fri Aug 26 10:50:48 2022  p63 factor: 172254525982563636493960289401178714547247201236384967570507499
Fri Aug 26 10:50:48 2022  p85 factor: 2938274640680472741093354685836479160201310720371701109913804083351787889644680333389
Fri Aug 26 10:50:48 2022  elapsed time 01:13:07 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.353).
Factorization parameters were as follows:
#
# N = 53x10^198-35 = 58(197)5
#
n: 198513025076315148791130587860741240144577410715957825345993220592917205086428076483697586006704496507294417289360825514542015469033840852482349195647695563421165983107665224638088282113227334869
m: 1000000000000000000000000000000000000000
deg: 5
c5: 10600
c0: -7
skew: 0.23
# Murphy_E = 1.736e-11
type: snfs
lss: 1
rlim: 14500000
alim: 14500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14500000/14500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 20050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3550519 hash collisions in 28905478 relations (26974707 unique)
Msieve: matrix is 1718617 x 1718842 (600.4 MB)

Sieving start time : 2022/08/26 03:11:32
Sieving end time  : 2022/08/26 09:36:47

Total sieving time: 6hrs 25min 15secs.

Total relation processing time: 0hrs 57min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 31sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14500000,14500000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

7258388767951130285346867380480362037317150776570767504391726155259165433657381624702336449608445150878424356202000011354734399819146288200147494847238698829341065559<166>

4846957303698012659142788889649687841371<40>
1497514484481491669935822150399634244376203702990696794793161257450915807340691406495299179265970655585723413436484198270139829<127>

4846957303698012659142788889649687841371

232568827390414190708280420153134737046974615060078222155400183026975066639173586329783784567756688929079054541737584314421094391597<132>

172195802750954889652100397156004766189<39>
1350606830567038953112437813353480331336688110326143492983954184589756859616343740608650398273<94>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3668546229
Step 1 took 4844ms
Step 2 took 3015ms
********** Factor found in step 2: 172195802750954889652100397156004766189
Found prime factor of 39 digits: 172195802750954889652100397156004766189
Prime cofactor 1350606830567038953112437813353480331336688110326143492983954184589756859616343740608650398273 has 94 digits

GMP-ECM

17958575122813914291006126688958220827708082189148514918464928014853861284957459911891254684501741799307102122171904355560326778840325078690382909131255185534169857132513071115064213<182>

42529941728895169506439015995507474201227<41>

422257223799879326756525002349498714276773821777857564504803793039151958911921238786368495345793119698034011938622740389520080043520994266719<141>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3873553238
Step 1 took 41804ms
Step 2 took 14448ms
********** Factor found in step 2: 42529941728895169506439015995507474201227
Found probable prime factor of 41 digits: 42529941728895169506439015995507474201227
Composite cofactor 422257223799879326756525002349498714276773821777857564504803793039151958911921238786368495345793119698034011938622740389520080043520994266719 has 141 digits

422257223799879326756525002349498714276773821777857564504803793039151958911921238786368495345793119698034011938622740389520080043520994266719<141>

28416729459346810429279814109393587103067986284047281337<56>
14859458911482538017028034234219906565657810392945745632731558388498737785467799779287<86>

422257223799879326756525002349498714276773821777857564504803793039151958911921238786368495345793119698034011938622740389520080043520994266719=28416729459346810429279814109393587103067986284047281337*14859458911482538017028034234219906565657810392945745632731558388498737785467799779287

cado polynomial
n: 422257223799879326756525002349498714276773821777857564504803793039151958911921238786368495345793119698034011938622740389520080043520994266719
skew: 78389.168
c0: 850805168226962417563228162728
c1: 247731359658393925203930490
c2: -1257658358285824145139
c3: -114674230069094815
c4: 136768741908
c5: 1100520
Y0: -1181471877262193193486414327
Y1: 294628104170368397
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 2.298e-07
# f(x) = 1100520*x^5+136768741908*x^4-114674230069094815*x^3-1257658358285824145139*x^2+247731359658393925203930490*x+850805168226962417563228162728
# g(x) = 294628104170368397*x-1181471877262193193486414327

cado parameters (extracts)
tasks.lim0 = 9457107
tasks.lim1 = 12662444
tasks.lpb0 = 28
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 58
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 28416729459346810429279814109393587103067986284047281337 14859458911482538017028034234219906565657810392945745632731558388498737785467799779287
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 1103.48/231.03
Info:HTTP server: Got notification to stop serving Workunits
Info:Generate Factor Base: Total cpu/real time for makefb: 14.68/2.06963
Info:Filtering - Merging: Merged matrix has 2091859 rows and total weight 356043801 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1123.12/158.99
Info:Filtering - Merging: Total cpu/real time for replay: 82.59/72.0684
Info:Linear Algebra: Total cpu/real time for bwc: 65462.6/17090.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 41243.27, WCT time 10728.54, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (65536 iterations)
Info:Linear Algebra: Lingen CPU time 376.31, WCT time 102.59
Info:Linear Algebra: Mksol: CPU time 23418.35,  WCT time 6095.38, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (32768 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 34366216
Info:Lattice Sieving: Average J: 3788.65 for 1139538 special-q, max bucket fill -bkmult 1.0,1s:1.083430
Info:Lattice Sieving: Total time: 644577s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 287.49/236.77
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 235.8s
Info:Generate Free Relations: Total cpu/real time for freerel: 724.2/91.7283
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 13334.2
Info:Polynomial Selection (root optimized): Rootsieve time: 13329.9
Info:Filtering - Singleton removal: Total cpu/real time for purge: 693.61/566.858
Info:Quadratic Characters: Total cpu/real time for characters: 103.33/26.7553
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 69931.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 48350/42.930/50.631/57.760/0.936
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 39827/40.240/45.199/51.700/1.055
Info:Polynomial Selection (size optimized): Total time: 35624.7
Info:Square Root: Total cpu/real time for sqrt: 1103.48/231.03
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1094.26/936.36
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 642.8999999999999s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.31328e+06/186493
28416729459346810429279814109393587103067986284047281337 14859458911482538017028034234219906565657810392945745632731558388498737785467799779287

cado-nfs-3.0.0

Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
Intel(R) Core(TM) i7-8550U CPU @ 1.80GHz (8 processeurs)

1797515643667098251268324791996005147070112199577369404808637998106697759349901932512947683157107829332931217532140874671365966288987009023588571246818438788342333753769538722122685077<184>

363444323360752700575805758980754465215268427973608801954626973947<66>
4945779939677018373942780538985119386017726361685539300195039586624033218013185202763901497584819244308428856507919791<118>

Number: n
N=1797515643667098251268324791996005147070112199577369404808637998106697759349901932512947683157107829332931217532140874671365966288987009023588571246818438788342333753769538722122685077  ( 184 digits)
SNFS difficulty: 206 digits.
Divisors found:

Wed Apr  3 04:19:37 2024  prp66 factor: 363444323360752700575805758980754465215268427973608801954626973947
Wed Apr  3 04:19:37 2024  prp118 factor: 4945779939677018373942780538985119386017726361685539300195039586624033218013185202763901497584819244308428856507919791
Wed Apr  3 04:19:37 2024  elapsed time 02:25:38 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
#
# N = 53x10^205-35 = 58(204)5
#
n: 1797515643667098251268324791996005147070112199577369404808637998106697759349901932512947683157107829332931217532140874671365966288987009023588571246818438788342333753769538722122685077
m: 100000000000000000000000000000000000000000
deg: 5
c5: 53
c0: -35
skew: 0.92
# Murphy_E = 8.811e-12
type: snfs
lss: 1
rlim: 19500000
alim: 19500000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19500000/19500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4230419 hash collisions in 21994646 relations (18094533 unique)
Msieve: matrix is 2146504 x 2146729 (602.2 MB)

Sieving start time: 2024/04/02 06:04:55
Sieving end time  : 2024/04/03 01:53:32

Total sieving time: 19hrs 48min 37secs.

Total relation processing time: 2hrs 17min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 23sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19500000,19500000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

134703541443215079579564117770114087927611702786229599663007543475405273657337072716251403525664720711720069006027342869089289809364149421048349018633922739150689200759417829<174>

698482925145914835330928195265325367875716732224118958826923996624556721151619169493681858548783827394487459170043833580556548336472873279766318580563253770281369<162>

21515813008684534361241649361765924405690924557480094751243404004260688539380324299847262440252321112686914235629305417260607427521230025889290811919289209261154072447919956150193507882637<188>

2113873066396605444975730245441435478497907630760361327747098072777216803852195133341463717575444605467460218846301983721329243539355951811323411306417958475854884942728441878697723633<184>

29270285245222434178460542164539046051238964111151979667202175371232110838615733880563<86>

16152662588366089155094797952410294489001<41>
1812102808753293509473705023594471506739573563<46>

prp46 = 1812102808753293509473705023594471506739573563
prp41 = 16152662588366089155094797952410294489001

Yafu

303049576713720561159127148146236913762857693478797434521239125841166541930648700990913319369817716399753040058712065056376499248089291653476991076902334834228351836840331108424909632330491<189>

663311062594706056753927125979944492268213<42>
456873997439853984687907689185815671634001151077729046756332216791419133381864112214559232816802030850254294025798470567586633214657818417752481007<147>

Resuming ECM residue saved by @60947172f4a5 with GMP-ECM 7.0.5-dev on Sat Nov 25 01:32:55 2023 
Input number is 303049576713720561159127148146236913762857693478797434521239125841166541930648700990913319369817716399753040058712065056376499248089291653476991076902334834228351836840331108424909632330491 (189 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1375396924
Step 1 took 0ms
Step 2 took 13733ms
********** Factor found in step 2: 663311062594706056753927125979944492268213
Found prime factor of 42 digits: 663311062594706056753927125979944492268213
Prime cofactor 456873997439853984687907689185815671634001151077729046756332216791419133381864112214559232816802030850254294025798470567586633214657818417752481007 has 147 digits

17400630975032948804397382334722087365052436823795685533819801265918228082042821613296480563565029374063648725360665540963374651485051102224705189578937843803306557675249346963176633375843130503773636967<203>

135875102676845475970992343066865852772903423736186555593219664958218724400018937612398479587116043561756421002296051492742809355167870535085396038219106831843339564598788176941092254927280641<192>

7148210821087212236491673469027325424713697377772307676436517187155227149292919231301668272178076544105446759455994087495669993725517872298560131485062573971538173779025091773179<178>

73053768432027187829961983533886122210969<41>

97848625396214275676209066717626603424595838442102101212759402687106362350777660013138691426309218263074839116522381756500186650579175091<137>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4165123418
Step 1 took 24162ms
Step 2 took 10794ms
********** Factor found in step 2: 73053768432027187829961983533886122210969
Found prime factor of 41 digits: 73053768432027187829961983533886122210969
Composite cofactor 97848625396214275676209066717626603424595838442102101212759402687106362350777660013138691426309218263074839116522381756500186650579175091 has 137 digits

97848625396214275676209066717626603424595838442102101212759402687106362350777660013138691426309218263074839116522381756500186650579175091<137>

594807203505335250080776080138999622274871103<45>
164504775361780906138894927186734582325674333833341652815169143115020267663594645949124902797<93>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:123697299
Step 1 took 21812ms
Step 2 took 10844ms
********** Factor found in step 2: 594807203505335250080776080138999622274871103
Found prime factor of 45 digits: 594807203505335250080776080138999622274871103
Prime cofactor 164504775361780906138894927186734582325674333833341652815169143115020267663594645949124902797 has 93 digits
 

GMP-ECM

1515556235403753986108184836144918842886027329718629785202777761598855835646617174748069002663069372003961455121423200659530326076252179553983296027792525309698719975468205324447442667291279<190>

54615041752989563369869468350766681053337332149411383788757780360313559077804911602287174867376884082073637182868932434143491263104629933174603262876115486270103611479<167>

17417328883081855358534005294468622962550023<44>

3135672646454952501406964733374360045834529070995079856418392101819587033437947386318309941660880668048127557249017443802673<124>

GPU: factor 17417328883081855358534005294468622962550023 found in Step 1 with curve 491 (-sigma 3:1952953775)
Computing 1792 Step 1 took 879ms of CPU time / 654262ms of GPU time
Throughput: 2.739 curves per second (on average 365.10ms per Step 1)
********** Factor found in step 1: 17417328883081855358534005294468622962550023
Found prime factor of 44 digits: 17417328883081855358534005294468622962550023
Composite cofactor 3135672646454952501406964733374360045834529070995079856418392101819587033437947386318309941660880668048127557249017443802673 has 124 digits
Peak memory usage: 9428MB

3135672646454952501406964733374360045834529070995079856418392101819587033437947386318309941660880668048127557249017443802673<124>

813610937170876252862094078639604058365328446992723572984903<60>
3854019781688839370476149337657574087225114515796122411114075591<64>

#
# 53×10^220-35 = 58(219)5
# N = 5 × 33587 × 20842201 × 784479629 × 392694321409045409971900995196681<33> × 17417328883081855358534005294468622962550023<44> ×
# [3135672646454952501406964733374360045834529070995079856418392101819587033437947386318309941660880668048127557249017443802673
#

CADO:

STA:Mon 27 Nov 2023 05:39:55 AEDT (3135672646454952501406964733374360045834529070995079856418392101819587033437947386318309941660880668048127557249017443802673 - C124)

cado-nfs.py -t 16 --no-colors 3135672646454952501406964733374360045834529070995079856418392101819587033437947386318309941660880668048127557249017443802673 2>&1 | tee -a log-15

Info:root: Using default parameter file ./parameters/factor/params.c125
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.ep7xrjbd
Info:Database: Opened connection to database /tmp/cado.ep7xrjbd/c125.db
Info:root: Set tasks.threads=16 based on --server-threads 16
Info:root: tasks.threads = 16 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 16 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Math/cado-nfs/build/LINUX-7
Info:root: Command line parameters: ./cado-nfs.py -t 16 --no-colors 3135672646454952501406964733374360045834529070995079856418392101819587033437947386318309941660880668048127557249017443802673
Info:root: If this computation gets interrupted, it can be resumed with ./cado-nfs.py /tmp/cado.ep7xrjbd/c125.parameters_snapshot.0
Info:Server Launcher: Adding LINUX-7 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,LINUX-7
Info:Lattice Sieving: param rels_wanted is 0 
Info:Complete Factorization / Discrete logarithm: Factoring 3135672646454952501406964733374360045834529070995079856418392101819587033437947386318309941660880668048127557249017443802673
===
n: 3135672646454952501406964733374360045834529070995079856418392101819587033437947386318309941660880668048127557249017443802673
skew: 12122.435
c0: 394386526355671674181562608
c1: -192527708638363950141792
c2: -16757889037862760442
c3: 1473408564557403
c4: 38836493850
c5: -3187800
Y0: -510281558747395736451663
Y1: 202993884125945369
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 3.199e-07
# f(x) = -3187800*x^5+38836493850*x^4+1473408564557403*x^3-16757889037862760442*x^2-192527708638363950141792*x+394386526355671674181562608
# g(x) = 202993884125945369*x-510281558747395736451663
===
Info:Square Root: Factors: 813610937170876252862094078639604058365328446992723572984903 3854019781688839370476149337657574087225114515796122411114075591
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 1128.83/162.647
Info:HTTP server: Got notification to stop serving Workunits
Info:Quadratic Characters: Total cpu/real time for characters: 27.43/9.59033
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11620536
Info:Lattice Sieving: Average J: 3805.83 for 157573 special-q, max bucket fill -bkmult 1.0,1s:1.223430
Info:Lattice Sieving: Total time: 104053s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 78.72/62.8463
Info:Filtering - Merging: Total cpu/real time for merge: 228.7/38.2144
Info:Filtering - Merging: Total cpu/real time for replay: 29.03/23.8896
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 168.23/240.891
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 224.0s
Info:Linear Algebra: Total cpu/real time for bwc: 7331.54/1241.69
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4582.21, WCT time 740.2, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (21760 iterations)
Info:Linear Algebra: Lingen CPU time 60.27, WCT time 61.83
Info:Linear Algebra: Mksol: CPU time 2558.65,  WCT time 407.06, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (11008 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1777.8
Info:Polynomial Selection (root optimized): Rootsieve time: 1775.77
Info:Generate Free Relations: Total cpu/real time for freerel: 110.41/16.636
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21547.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 14637/37.420/43.972/47.480/0.886
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11547/36.230/39.293/44.730/0.857
Info:Polynomial Selection (size optimized): Total time: 2108.83
Info:Square Root: Total cpu/real time for sqrt: 1128.83/162.647
Info:Generate Factor Base: Total cpu/real time for makefb: 7.16/1.33058
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 69.97/108.329
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 108.1s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 113102/15591.1 [04:19:51]
Info:root: Cleaning up computation data in /tmp/cado.ep7xrjbd
813610937170876252862094078639604058365328446992723572984903 3854019781688839370476149337657574087225114515796122411114075591

END:Mon 27 Nov 2023 09:59:52 AEDT (3135672646454952501406964733374360045834529070995079856418392101819587033437947386318309941660880668048127557249017443802673 - C124)

845858642531114908170557433285933888743429131668337680364483170278958267276062493354772913355643780686719164596042613793440982746404429867682659720596787138570596870088576154520460938729468753460265067696345394241<213>

2705182360686415221753126438754706596888721<43>

312680821383326643022606267632568102980584741234401799627188298073446413585140107209351480927815601950057709008649237357236728820441734742302699422737826053542911584979121<171>

Resuming ECM residue saved by @60947172f4a5 with GMP-ECM 7.0.5-dev on Sat Nov 25 02:26:57 2023 
Input number is 845858642531114908170557433285933888743429131668337680364483170278958267276062493354772913355643780686719164596042613793440982746404429867682659720596787138570596870088576154520460938729468753460265067696345394241 (213 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2072140831
Step 1 took 0ms
Step 2 took 17052ms
********** Factor found in step 2: 2705182360686415221753126438754706596888721
Found prime factor of 43 digits: 2705182360686415221753126438754706596888721
Composite cofactor 312680821383326643022606267632568102980584741234401799627188298073446413585140107209351480927815601950057709008649237357236728820441734742302699422737826053542911584979121 has 171 digits

3631999592985650549400337199661870011614191744205147177044591668291091678887378771594825004663523647235446517016969230854557588912456658492966394315835425326389547658782180626644633281200840864837539885378481<208>

110117347667641759170686558535143006261215976180986929105777848818571467835497244512006090540124756617796965425600264974640814266420047723250946576668366094275175096080681054315374212399189129348810841<201>

260756022099429897892577053845041544705622502371927659241138156635721878715603711739786187387566149558267713043501242588635445873901971374472927469975403142168632518365972279966182110922112072991<195>

107070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707<225>

145147247662519724295881293040273882072324419910315924239647384049606795152359940983765311150398191359818895811816860680941008324676997437994594738178490709929981129247221680674239926969658609<192>

4932441389471011353832824576253743775479774461850250888515414604347983735118407312019382765828993230309094405071523459386198768001010158310814734348606766293213158365139374272290948676533265387528088575560811947<211>

1292575021710663283154777443061933450347<40>

3815980741251794584849418163898202055473869747107320085332615940623283051087362114140287364205131742818434960225388994992475873124315285872566848119389902067289741854372801<172>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2074288128
Step 1 took 49008ms
Step 2 took 16792ms
********** Factor found in step 2: 1292575021710663283154777443061933450347
Found probable prime factor of 40 digits: 1292575021710663283154777443061933450347
Composite cofactor 3815980741251794584849418163898202055473869747107320085332615940623283051087362114140287364205131742818434960225388994992475873124315285872566848119389902067289741854372801 has 172 digits

111965242442164293991460633916992480374751068940084914236594964623290483297011591453304754668312389023096671335085078466242301270603750525849011085642935773973760797616209539058116999<183>

269215805044374937329294971519203154411309175852296483637560884502236145758371701775232128837288886137859859575537505386129023525844293528666801963555519101381248101248422949116654730621348674439836986252250657<210>

32734392614146367110786603133977676408210597<44>

8224249284773094819430699285090175800004708550242944485055178600116851627177323995833260422052424627265505138275157206996187192907941107094112253788079817236207115981<166>

Resuming ECM residue saved by @a15c56f1befc with GMP-ECM 7.0.5-dev on Wed Aug 24 12:05:08 2022 
Input number is 269215805044374937329294971519203154411309175852296483637560884502236145758371701775232128837288886137859859575537505386129023525844293528666801963555519101381248101248422949116654730621348674439836986252250657 (210 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4255204799
Step 1 took 0ms
Step 2 took 4965ms
********** Factor found in step 2: 32734392614146367110786603133977676408210597
Found prime factor of 44 digits: 32734392614146367110786603133977676408210597
Composite cofactor 8224249284773094819430699285090175800004708550242944485055178600116851627177323995833260422052424627265505138275157206996187192907941107094112253788079817236207115981 has 166 digits

202553837015420806297253931635996333626892327947247901884831080607259085396011758441074444310067609153157710778383828554188860207511939498622572192156333019182478565189692126410910051620017731<192>

5650139019327712855382415021699493<34>
35849354559690438645272770122878780880331518071178347300213907914616421188429941574115973655956128599958397214184243573166316090173160483865361230641005056967<158>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1769181673
Step 1 took 8641ms
Step 2 took 4369ms
********** Factor found in step 2: 5650139019327712855382415021699493
Found prime factor of 34 digits: 5650139019327712855382415021699493
Prime cofactor 35849354559690438645272770122878780880331518071178347300213907914616421188429941574115973655956128599958397214184243573166316090173160483865361230641005056967 has 158 digits

366078685016010183236977860955364574331406488669397977559760933571743051727121238770732670042982986038491849226360346813651789606208832774987404284118064916317592851644543719576467933795748339833792592052196018249<213>

3732803134427748954198857691810617289428525447681066482984580353693661524202122133797046084976206901530414069991467375476680721022619026238436673875202530981385637652573926229245526534771941575292223901983632714709251611708183537<229>

446419043324672899366702426932247887639851<42>

8361657483578596747930642597841730490153807409801673824269871034743259391216162036991394040579509159837996810775535618721349657810163358600921058476564706815638674875678519840445634741587<187>

Resuming ECM residue saved by @ab3558ab9a40 with GMP-ECM 7.0.5-dev on Tue Aug 23 08:21:30 2022 
Input number is 3732803134427748954198857691810617289428525447681066482984580353693661524202122133797046084976206901530414069991467375476680721022619026238436673875202530981385637652573926229245526534771941575292223901983632714709251611708183537 (229 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:671682451
Step 1 took 0ms
Step 2 took 8033ms
********** Factor found in step 2: 446419043324672899366702426932247887639851
Found prime factor of 42 digits: 446419043324672899366702426932247887639851
Composite cofactor 8361657483578596747930642597841730490153807409801673824269871034743259391216162036991394040579509159837996810775535618721349657810163358600921058476564706815638674875678519840445634741587 has 187 digits

36640330564914394706924020052630723885036469227134446162392019044675969853995195968734045469267577075182156020749488331610200806294670525653934843122350705343646549396869049186878475430411543501578126690510534613532656731606467640539<233>

10581095999138472509175036004085274323226471966461184266603096045908958660367450907617872133867582596711742664430892183767<122>

712547829844799504993411433235513059933648700016741621<54>
14849664199304554395441383220575567955934457610209334018252004960027<68>

14849664199304554395441383220575567955934457610209334018252004960027 712547829844799504993411433235513059933648700016741621

n: 10581095999138472509175036004085274323226471966461184266603096045908958660367450907617872133867582596711742664430892183767
skew: 150144.945
c0: -240901102584336147466403444940
c1: -14734814987970891573937388
c2: 52176210575162757867
c3: 66629267246843
c4: 632992098
c5: 9720
Y0: -365237639474760914317617
Y1: 27448510158178259
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.287e-06
# f(x) = 9720*x^5+632992098*x^4+66629267246843*x^3+52176210575162757867*x^2-14734814987970891573937388*x-240901102584336147466403444940
# g(x) = 27448510158178259*x-365237639474760914317617

cado-nfs 3.0.0

6094719882161411421702699368878639444015914842828475621164238929783661014219513333596252796539529699055827120595337460695786141042551111029124310775067724616770459426156551546836294232018973<190>

11166997103693345391304442272036706962659980574026123258925425137140028021975680588920760734886939641526520084109856126197529653466167507421678802905220295369272475921088340939703450169831354566220013001106563210663<215>

80819485066237439898187025761656005214073546470122903203740895353555365081040771037742715270972747207137301001536731496224855553855570091390248395329470199782887190668230308696246605843<185>

3795941637065893593631858895994618569<37>
21291024149862211858040195456639427577599431202565828831490543202556781869659669970905884701123674410436993512065103557114590091568845262581445309947<149>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1353311410
Step 1 took 8932ms
Step 2 took 4305ms
********** Factor found in step 2: 3795941637065893593631858895994618569
Found prime factor of 37 digits: 3795941637065893593631858895994618569
Prime cofactor 21291024149862211858040195456639427577599431202565828831490543202556781869659669970905884701123674410436993512065103557114590091568845262581445309947 has 149 digits

216802081658590883778337456857109403185505688935730298344085508989637593915252684398814503768658794164579489512801087243156538166048980465667698357280689487362289657997017864169805109747321818743323683569<204>

183479328722240468231800024213012030065179549640996788794616417279546493913340953395748461076044903665450561255170030670208176836599146263280980890114700524761707231794672027669428860727290281641137269150137138291846039911841<225>

9534793272954259016321964779472902280360494804046374894356145045416670108454127971386018611893384785578018970014322965472906923983333845093917046063665048709094201940724242819092465246792914676899668516937795693583862494013<223>

101439645771537265796022215093776410942098565636372451802948804226692312543263895083327694954203513461584445815473282006437619404761885933364676113200678462291434409294760111159686415795569174872259095847064977369117<216>

804807264812836257539807702269814916534871954573208173477135759165491866764516008277371825709520810544998626406578173958906454611726809878780993281135924855515507030198590854393093646705016354161391792580346989647969645062514444686151079<237>

3480063492922262216951408325512860962045489932994867182634186321471217268261816078760465025218947732269844482971736000050377378580345609622611131833565483894177070987774547664554894709838346586718470035367872127<211>

3382027026207469487490730925878436552741494538888502949992471048469129834724370968932838438793781627195862584894852644088698264159651975367077230554886538230727407<163>

24758915943149483301405895863546381925977842675304665344586513108344847477724067276248119517584948408398013596160472329119823848343128316451432335952432293041511450070061870273683892665957028883951423<200>

3482095339751919704680088042879348372354142851105726963701711401333273325421611069779446976746583710230074184534809162646379883679228226563134788625412505595024224995188687401796728921332206318495559<199>

112374469231352002698872193215492745951212564127918708579430700502119324175111803569198586177463016429789368246841289574335278479741879198183768097586968203306407408205612868381254619<183>

8376373734089135764710767200731038835773<40>

13415646531389138801075309185343988774789815730697430149935224495917664999657879077138557850563402745576480789501252828829661462910060859290103<143>

GPU: factor 8376373734089135764710767200731038835773 found in Step 1 with curve 1229 (-sigma 3:675471558)
Computing 1792 Step 1 took 1046ms of CPU time / 654496ms of GPU time
Throughput: 2.738 curves per second (on average 365.23ms per Step 1)
********** Factor found in step 1: 8376373734089135764710767200731038835773
Found prime factor of 40 digits: 8376373734089135764710767200731038835773
Composite cofactor 13415646531389138801075309185343988774789815730697430149935224495917664999657879077138557850563402745576480789501252828829661462910060859290103 has 143 digits
Peak memory usage: 9428MB

13415646531389138801075309185343988774789815730697430149935224495917664999657879077138557850563402745576480789501252828829661462910060859290103<143>

1160143115205209558097766072083559078355427071473<49>
11563785842935541119260362502337022796541496487510201816707801962757475215379029826563499294311<95>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2769965312
Step 1 took 81781ms
Step 2 took 27562ms
********** Factor found in step 2: 1160143115205209558097766072083559078355427071473
Found prime factor of 49 digits: 1160143115205209558097766072083559078355427071473
Prime cofactor 11563785842935541119260362502337022796541496487510201816707801962757475215379029826563499294311 has 95 digits
 

GMP-ECM

83020578275598983565558982727054273827892665078250478355689607390215839381691091193218845329389137188696221960234841864642721671604297827609381537361379747466323633901220635790029739574006112035497960238440754638925521832591349<227>

4030642317075841394793973269843669315791398100106272928027158195862392049018778025255134294727157810709049877382820629867701139267163821745362800365230462166137299856843650940825272328744121018900965273485461092643195034829998566268302747<238>

40613026819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164750957854406130268199233716475095785440613<257>

121823894507787509405851240291078495163710169455034551533929654090695690526165438766189043988988960247921191122166400437518526040817368339492222946406029919111244145710803785378872294220881339035624336371502675560779<216>

291222953796208148173865054756963<33>

418318312206383885877256372996470388354084469909921920743238644002061450771092376773183351423978137669341356446519370321676688180769970268988100078162003130512280874455449411545687033<183>

Resuming ECM residue saved by @a15c56f1befc with GMP-ECM 7.0.5-dev on Wed Aug 24 12:22:42 2022 
Input number is 121823894507787509405851240291078495163710169455034551533929654090695690526165438766189043988988960247921191122166400437518526040817368339492222946406029919111244145710803785378872294220881339035624336371502675560779 (216 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4158007050
Step 1 took 0ms
Step 2 took 5475ms
********** Factor found in step 2: 291222953796208148173865054756963
Found prime factor of 33 digits: 291222953796208148173865054756963
Composite cofactor 418318312206383885877256372996470388354084469909921920743238644002061450771092376773183351423978137669341356446519370321676688180769970268988100078162003130512280874455449411545687033 has 183 digits

3448179394927383866701094656416864983752898175796305361426002887191713561058585171072623360310610044825915331192990460152384196281043414527150060036915322761616161935561716011305110187136430089894164837<202>

260305768420293931496955887681859999384359512045135036775023327766421097960814309253672357327513366900117082615988738891445058895596281201455451312946828852617687921649367916304230811<183>

4863159271036260573002658943688347134498245437540757243852512357348183297365291514843195775677474903301018786536293038829742134877784738221862481064314888261724411991034123215001420361838883832301134770813221170979159075801<223>

13700438858940977940085586843948846351657392102548013112795542046242644261288876969218058833925006537429577310277872461866497022497850864416749973639135817325335756900014753273758673496410803493823090531912268228475776763<221>

106033797460958835180843100804304023756620647005269318150203436401573207049499400466583054107737973447634426326112990521272063057713240132745916468255291418368673942232809329084299726794868126722411125049570919312303135108789003717951522553164898683<249>

45728716995153456461330691536869321511453<41>
2318757324247623074761042454574267322938293537412310252638950004865464127444786177051020850367941561712047068828620014706033142013884228062574367884802680590189442989539874996670980080860931783477268151905911<208>

GPU: factor 45728716995153456461330691536869321511453 found in Step 1 with curve 84 (-sigma 3:-1741208921)
Computing 1792 Step 1 took 833ms of CPU time / 980821ms of GPU time
Throughput: 1.827 curves per second (on average 547.33ms per Step 1)
********** Factor found in step 1: 45728716995153456461330691536869321511453
Found prime factor of 41 digits: 45728716995153456461330691536869321511453
Prime cofactor 2318757324247623074761042454574267322938293537412310252638950004865464127444786177051020850367941561712047068828620014706033142013884228062574367884802680590189442989539874996670980080860931783477268151905911 has 208 digits
Peak memory usage: 9430MB

216426264540725487286688931160793518078045396298294968300582454949536514440602031768301474085089544135743092218292061611594890955190986451776074992046694657780377530571781729347093414675803461628026334221928356529680271055566882089135142256403<243>

145128205069617857902941051667671799228925268376672064212948348841126596226352238062434602466439961572153120696344424984791600067486326279983496325499233474792677942233915365485219104265388512591101552012508427966419227672120128496546871832179<243>

5107824602556873963021438293063862054373<40>
28412918681070138139408191503819701955153593398131788475632209454968060528873589418236126869269682723202679704631382242466940742691004569191257655377214206758565887855484767212904556467084275299130959223<203>

Resuming ECM residue saved by @ce58b9f518c4 with GMP-ECM 7.0.5-dev on Thu Oct 13 16:54:50 2022 
Input number is 145128205069617857902941051667671799228925268376672064212948348841126596226352238062434602466439961572153120696344424984791600067486326279983496325499233474792677942233915365485219104265388512591101552012508427966419227672120128496546871832179 (243 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:656683296
Step 1 took 0ms
Step 2 took 15177ms
********** Factor found in step 2: 5107824602556873963021438293063862054373
Found prime factor of 40 digits: 5107824602556873963021438293063862054373
Prime cofactor 28412918681070138139408191503819701955153593398131788475632209454968060528873589418236126869269682723202679704631382242466940742691004569191257655377214206758565887855484767212904556467084275299130959223 has 203 digits

3569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569023569<268>

8327760833131212782834717676981476971<37>

428569412659468391615388054235469305139962112607664261890168346404385614345946540832906432724798381391212543325388108640459120839454511642114335507363264074554996885250173916074389636436980211094512108094044927962277381987651602739<231>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3314380819
Step 1 took 12421ms
Step 2 took 5250ms
********** Factor found in step 2: 8327760833131212782834717676981476971
Found prime factor of 37 digits: 8327760833131212782834717676981476971
Composite cofactor 428569412659468391615388054235469305139962112607664261890168346404385614345946540832906432724798381391212543325388108640459120839454511642114335507363264074554996885250173916074389636436980211094512108094044927962277381987651602739 has 231 digits

GMP-ECM

13920326596934290809356037217846271034525765826164045979252209703667621303617850667756390417260586743782407889448667909546702325080205009546370068736984608232270840860258490228227489832025712447117481574824950958287709854342121<227>