1985385332193911935736152113501493563159206451082654222080380800991551447082228052011<85>

1761677110115900683178098403888897543<37>
1126985939019945315331723702697830782651737068477<49>

prp37 = 1761677110115900683178098403888897543
prp49 = 1126985939019945315331723702697830782651737068477

Yafu

99721509023382154793164176643937214634050229113922679134747067562084182260091672074599182417396778640009<104>

630325474904280418466607350966500287073<39>
158206375902109307719839015758479358807585978446279408253114024233<66>

N=99721509023382154793164176643937214634050229113922679134747067562084182260091672074599182417396778640009
  ( 104 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=630325474904280418466607350966500287073 (pp39)
 r2=158206375902109307719839015758479358807585978446279408253114024233 (pp66)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.32 hours.
Scaled time: 10.39 units (timescale=7.868).
Factorization parameters were as follows:
n: 99721509023382154793164176643937214634050229113922679134747067562084182260091672074599182417396778640009
m: 2000000000000000000000000000000
deg: 4
c4: 6475
c0: -1
skew: 0.11
# Murphy_E = 2.218e-08
type: snfs
lss: 1
rlim: 850000
alim: 850000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 850000/850000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [425000, 725001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 128976 x 129224
Total sieving time: 1.30 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,125.000,4,0,0,0,0,0,0,0,0,850000,850000,26,26,46,46,2.3,2.3,75000
total time: 1.32 hours.

GNFS, Msieve

128143282991329301025393644785830024614395091963832918970400880675844496394424035523890806090516654916076044874887132484817<123>

77308064878419747773421487376466264574057266176821754689997<59>
1657566816513344276040188395470422069039259741009289319684535061<64>

N=128143282991329301025393644785830024614395091963832918970400880675844496394424035523890806090516654916076044874887132484817
  ( 123 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=77308064878419747773421487376466264574057266176821754689997 (pp59)
 r2=1657566816513344276040188395470422069039259741009289319684535061 (pp64)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.36 hours.
Scaled time: 10.69 units (timescale=7.874).
Factorization parameters were as follows:
n: 128143282991329301025393644785830024614395091963832918970400880675844496394424035523890806090516654916076044874887132484817
m: 10000000000000000000000000000000
deg: 4
c4: 1036
c0: -1
skew: 0.18
# Murphy_E = 2.426e-08
type: snfs
lss: 1
rlim: 920000
alim: 920000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 920000/920000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [460000, 760001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 107387 x 107618
Total sieving time: 1.34 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,127.000,4,0,0,0,0,0,0,0,0,920000,920000,26,26,46,46,2.3,2.3,75000
total time: 1.36 hours.

GNFS, Msieve

54600498560474414022693472879140710784667385238339764808667098348334150802259624455345576088296632757519<104>

26933157720106553581501700857295193850285304449<47>
2027259452006743837070173993772596335626965676757380460431<58>

Thu Mar 10 10:40:38 2022  Msieve v. 1.53 (SVN unknown)
Thu Mar 10 10:40:38 2022  random seeds: 12d0e694 9abe144b
Thu Mar 10 10:40:38 2022  factoring 54600498560474414022693472879140710784667385238339764808667098348334150802259624455345576088296632757519 (104 digits)
Thu Mar 10 10:40:39 2022  searching for 15-digit factors
Thu Mar 10 10:40:39 2022  commencing number field sieve (104-digit input)
Thu Mar 10 10:40:39 2022  R0: -20000000000000000000000000000000
Thu Mar 10 10:40:39 2022  R1: 1
Thu Mar 10 10:40:39 2022  A0: -1
Thu Mar 10 10:40:39 2022  A1: 0
Thu Mar 10 10:40:39 2022  A2: 0
Thu Mar 10 10:40:39 2022  A3: 0
Thu Mar 10 10:40:39 2022  A4: 6475
Thu Mar 10 10:40:39 2022  skew 0.11, size 1.427e-13, alpha 0.381, combined = 1.423e-08 rroots = 2
Thu Mar 10 10:40:39 2022  
Thu Mar 10 10:40:39 2022  commencing square root phase
Thu Mar 10 10:40:39 2022  reading relations for dependency 1
Thu Mar 10 10:40:39 2022  read 59361 cycles
Thu Mar 10 10:40:39 2022  cycles contain 176836 unique relations
Thu Mar 10 10:40:42 2022  read 176836 relations
Thu Mar 10 10:40:43 2022  multiplying 176836 relations
Thu Mar 10 10:40:45 2022  multiply complete, coefficients have about 5.46 million bits
Thu Mar 10 10:40:45 2022  initial square root is modulo 1933993
Thu Mar 10 10:40:49 2022  GCD is N, no factor found
Thu Mar 10 10:40:49 2022  reading relations for dependency 2
Thu Mar 10 10:40:49 2022  read 59400 cycles
Thu Mar 10 10:40:49 2022  cycles contain 177052 unique relations
Thu Mar 10 10:40:52 2022  read 177052 relations
Thu Mar 10 10:40:52 2022  multiplying 177052 relations
Thu Mar 10 10:40:55 2022  multiply complete, coefficients have about 5.47 million bits
Thu Mar 10 10:40:55 2022  initial square root is modulo 1966049
Thu Mar 10 10:40:59 2022  sqrtTime: 20
Thu Mar 10 10:40:59 2022  p47 factor: 26933157720106553581501700857295193850285304449
Thu Mar 10 10:40:59 2022  p58 factor: 2027259452006743837070173993772596335626965676757380460431
Thu Mar 10 10:40:59 2022  elapsed time 00:00:21
Thu Mar 10 10:40:59 2022 -> Computing 1.64688e+09 scale for this machine...
Thu Mar 10 10:40:59 2022 -> procrels -speedtest> PIPE
Thu Mar 10 10:41:02 2022 -> Factorization summary written to s130-57555_127.txt

2677002583979328165374677002583979328165374677002583979328165374677002583979328165374677002583979328165374677002583979328165374677<130>

183625008759370922971996753097648764387780201498640256231301873<63>
14578638291516012624333111720500983786793492316528922542557401677349<68>

N=2677002583979328165374677002583979328165374677002583979328165374677002583979328165374677002583979328165374677002583979328165374677
  ( 130 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=183625008759370922971996753097648764387780201498640256231301873 (pp63)
 r2=14578638291516012624333111720500983786793492316528922542557401677349 (pp68)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.62 hours.
Scaled time: 20.64 units (timescale=7.880).
Factorization parameters were as follows:
n: 2677002583979328165374677002583979328165374677002583979328165374677002583979328165374677002583979328165374677002583979328165374677
m: 100000000000000000000000000000000
deg: 4
c4: 10360
c0: -1
skew: 0.10
# Murphy_E = 9.892e-09
type: snfs
lss: 1
rlim: 1110000
alim: 1110000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1110000/1110000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [555000, 1255001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 166646 x 166873
Total sieving time: 2.59 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,132.000,4,0,0,0,0,0,0,0,0,1110000,1110000,26,26,47,47,2.3,2.3,100000
total time: 2.62 hours.

GNFS, Msieve

274604773957819494586324341619108658870372079323087048728165159286853590186627846707595845619422902041<102>

4266855163832982099415809687982729298027674113683<49>
64357650638213313931564588038366248344245753710312227<53>

N=274604773957819494586324341619108658870372079323087048728165159286853590186627846707595845619422902041
  ( 102 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=4266855163832982099415809687982729298027674113683 (pp49)
 r2=64357650638213313931564588038366248344245753710312227 (pp53)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.29 hours.
Scaled time: 25.94 units (timescale=7.886).
Factorization parameters were as follows:
n: 274604773957819494586324341619108658870372079323087048728165159286853590186627846707595845619422902041
m: 1000000000000000000000000000000000
deg: 4
c4: 518
c0: -5
skew: 0.31
# Murphy_E = 6.864e-09
type: snfs
lss: 1
rlim: 1230000
alim: 1230000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1230000/1230000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [615000, 1515001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 212755 x 212980
Total sieving time: 3.24 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,134.000,4,0,0,0,0,0,0,0,0,1230000,1230000,26,26,47,47,2.3,2.3,100000
total time: 3.29 hours.

GNFS, Msieve

1136645780836630053056750451650209340277927447280692218753089664385527866974089703734891545773465363460550349289705242150707<124>

130199484586175462029717835327267186358276228143924288737991<60>
8730032875700943627458028693779877322564913671197444277545319477<64>

N=1136645780836630053056750451650209340277927447280692218753089664385527866974089703734891545773465363460550349289705242150707
  ( 124 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=130199484586175462029717835327267186358276228143924288737991 (pp60)
 r2=8730032875700943627458028693779877322564913671197444277545319477 (pp64)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.75 hours.
Scaled time: 29.40 units (timescale=7.837).
Factorization parameters were as follows:
n: 1136645780836630053056750451650209340277927447280692218753089664385527866974089703734891545773465363460550349289705242150707
m: 2000000000000000000000000000000000
deg: 4
c4: 6475
c0: -1
skew: 0.11
# Murphy_E = 5.769e-09
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [670000, 1670001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 214928 x 215153
Total sieving time: 3.71 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,137.000,4,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,100000
total time: 3.75 hours.

GNFS, Msieve

706203135650988411724608043626448534423994546693933197000681663258350374914792092706203135650988411724608043626448534423994546693933197<135>

3532607833880548064213291872370991261639859529720547820921787<61>
199909859474899197492334369300651678895364973797394514349594698354984889431<75>

N=706203135650988411724608043626448534423994546693933197000681663258350374914792092706203135650988411724608043626448534423994546693933197
  ( 135 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=3532607833880548064213291872370991261639859529720547820921787 (pp61)
 r2=199909859474899197492334369300651678895364973797394514349594698354984889431 (pp75)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.87 hours.
Scaled time: 45.58 units (timescale=7.764).
Factorization parameters were as follows:
n: 706203135650988411724608043626448534423994546693933197000681663258350374914792092706203135650988411724608043626448534423994546693933197
m: 10000000000000000000000000000000000
deg: 4
c4: 518
c0: -5
skew: 0.31
# Murphy_E = 4.351e-09
type: snfs
lss: 1
rlim: 1440000
alim: 1440000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1440000/1440000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [720000, 1320001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 203731 x 203958
Total sieving time: 5.83 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,138.000,4,0,0,0,0,0,0,0,0,1440000,1440000,26,26,48,48,2.3,2.3,100000
total time: 5.87 hours.

GNFS, Msieve

8762464372318999032476490221233615634187601568606923189621578009946213076408850122473<85>

1060095906208067302527169767074335885257641<43>
8265727960088142546225006208098380012767553<43>

prp43 = 8265727960088142546225006208098380012767553
prp43 = 1060095906208067302527169767074335885257641

Yafu

118496557766500016584942930639481085730429481394553504741577994411446126958310028629042865786635281091906890986598222322875668973689417777<138>

3477210760758199484525488903247036417045411027<46>
34078048734860712785939109695734646071515080233873807395516279255956228159177861614223750251<92>

N=118496557766500016584942930639481085730429481394553504741577994411446126958310028629042865786635281091906890986598222322875668973689417777
  ( 138 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=3477210760758199484525488903247036417045411027 (pp46)
 r2=34078048734860712785939109695734646071515080233873807395516279255956228159177861614223750251 (pp92)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.14 hours.
Scaled time: 48.31 units (timescale=7.868).
Factorization parameters were as follows:
n: 118496557766500016584942930639481085730429481394553504741577994411446126958310028629042865786635281091906890986598222322875668973689417777
m: 100000000000000000000000000000000000
deg: 4
c4: 1036
c0: -1
skew: 0.18
# Murphy_E = 3.944e-09
type: snfs
lss: 1
rlim: 1690000
alim: 1690000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1690000/1690000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [845000, 1445001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 214990 x 215222
Total sieving time: 6.11 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,143.000,4,0,0,0,0,0,0,0,0,1690000,1690000,26,26,48,48,2.3,2.3,100000
total time: 6.14 hours.

GNFS, Msieve

431605626183496574599059768880588708373184868344425409226704389163449822290778242581928807142762005188600774408533<114>

767800487460396437369254754056241698213887045237197<51>
562132524311218316636453070861981184823357064039005810558834089<63>

N=431605626183496574599059768880588708373184868344425409226704389163449822290778242581928807142762005188600774408533
  ( 114 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=767800487460396437369254754056241698213887045237197 (pp51)
 r2=562132524311218316636453070861981184823357064039005810558834089 (pp63)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.67 hours.
Scaled time: 67.95 units (timescale=7.837).
Factorization parameters were as follows:
n: 431605626183496574599059768880588708373184868344425409226704389163449822290778242581928807142762005188600774408533
m: 100000000000000000000000000000000000
deg: 4
c4: 10360
c0: -1
skew: 0.10
# Murphy_E = 2.51e-09
type: snfs
lss: 1
rlim: 1760000
alim: 1760000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1760000/1760000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [880000, 1780001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 277031 x 277256
Total sieving time: 8.63 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,144.000,4,0,0,0,0,0,0,0,0,1760000,1760000,26,26,49,49,2.3,2.3,100000
total time: 8.67 hours.

GNFS, Msieve

53904943014072098704196453505345047127202922925812328369536200049193983998151164518213879277184872834831347016832552104499706272693961497<137>

214188782174455668330820265294779167422809448167<48>
251670243729976475310004699888064722303950350713615485457171929629833081160401783854484991<90>

N=53904943014072098704196453505345047127202922925812328369536200049193983998151164518213879277184872834831347016832552104499706272693961497
  ( 137 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=214188782174455668330820265294779167422809448167 (pp48)
 r2=251670243729976475310004699888064722303950350713615485457171929629833081160401783854484991 (pp90)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.80 hours.
Scaled time: 69.71 units (timescale=7.924).
Factorization parameters were as follows:
n: 53904943014072098704196453505345047127202922925812328369536200049193983998151164518213879277184872834831347016832552104499706272693961497
m: 200000000000000000000000000000000000
deg: 4
c4: 6475
c0: -1
skew: 0.11
# Murphy_E = 2.295e-09
type: snfs
lss: 1
rlim: 1830000
alim: 1830000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1830000/1830000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [915000, 1815001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 260372 x 260602
Total sieving time: 8.75 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,145.000,4,0,0,0,0,0,0,0,0,1830000,1830000,26,26,49,49,2.3,2.3,100000
total time: 8.80 hours.

GNFS, Msieve

6055858252034489278536998281758618249793139873190262492895354729672808800289182230474013267572763663<100>

7564334373263767600725570414161196569<37>
800580454697903674070377588335276448254785401385664832761882727<63>

prp63 = 800580454697903674070377588335276448254785401385664832761882727
prp37 = 7564334373263767600725570414161196569

Yafu

1151111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<148>

60394426837851959864337278153537915500479029<44>
19059889651765962832083182630378051099630318125672324698316145563552442184432540279749061752517217739659<104>

Number: n
N=1151111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111  ( 148 digits)
SNFS difficulty: 148 digits.
Divisors found:

Fri Mar 11 23:24:27 2022  p44 factor: 60394426837851959864337278153537915500479029
Fri Mar 11 23:24:27 2022  p104 factor: 19059889651765962832083182630378051099630318125672324698316145563552442184432540279749061752517217739659
Fri Mar 11 23:24:27 2022  elapsed time 00:06:52 (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 = 518x10^146-5 = 575(146)
#
n: 1151111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 100000000000000000000000000000
deg: 5
c5: 1036
c0: -1
skew: 0.25
# Murphy_E = 1.675e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1012591 hash collisions in 10658021 relations (10120435 unique)
Msieve: matrix is 511820 x 512062 (71.8 MB)

Sieving start time : 2022/03/11 23:13:41
Sieving end time  : 2022/03/11 23:16:55

Total sieving time: 0hrs 3min 14secs.

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

Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

1083675279354471732369351924487226758232856639709127312380873105266035586580176531491707263056737594471286323525004551934820211<127>

31977661525120463886468121547663319286409<41>
33888509280241666790700168588210497042551015765623287453502845488390304740146150417179<86>

=1083675279354471732369351924487226758232856639709127312380873105266035586580176531491707263056737594471286323525004551934820211
  ( 127 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=31977661525120463886468121547663319286409 (pp41)
 r2=33888509280241666790700168588210497042551015765623287453502845488390304740146150417179 (pp86)
Version: Msieve v. 1.52 (SVN 927)
Total time: 13.22 hours.
Scaled time: 104.29 units (timescale=7.886).
Factorization parameters were as follows:
n: 1083675279354471732369351924487226758232856639709127312380873105266035586580176531491707263056737594471286323525004551934820211
m: 2000000000000000000000000000000
deg: 5
c5: 32375
c0: -1
skew: 0.13
# Murphy_E = 7.233e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 471086 x 471317
Total sieving time: 13.11 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 13.22 hours.

GNFS, Msieve

37242481293629107850865438100368527401409911698235847177090784203318421515565432457868685527037930284100196610158818547862604924142283077299013<143>

45484894195264525030000314866213553322797748289<47>
818787906458545911878549028262165599366290172762658616907971287625021092008735113309752853862917<96>

Number: n
N=37242481293629107850865438100368527401409911698235847177090784203318421515565432457868685527037930284100196610158818547862604924142283077299013  ( 143 digits)
SNFS difficulty: 157 digits.
Divisors found:

Sat Mar 19 07:46:22 2022  p47 factor: 45484894195264525030000314866213553322797748289
Sat Mar 19 07:46:22 2022  p96 factor: 818787906458545911878549028262165599366290172762658616907971287625021092008735113309752853862917
Sat Mar 19 07:46:22 2022  elapsed time 00:06:10 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 518x10^155-5 = 575(155)
#
n: 37242481293629107850865438100368527401409911698235847177090784203318421515565432457868685527037930284100196610158818547862604924142283077299013
m: 10000000000000000000000000000000
deg: 5
c5: 518
c0: -5
skew: 0.40
# Murphy_E = 6.892e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1729944 hash collisions in 15595090 relations (14835606 unique)
Msieve: matrix is 360762 x 360991 (119.4 MB)

Sieving start time : 2022/03/19 07:10:25
Sieving end time  : 2022/03/19 07:39:38

Total sieving time: 0hrs 29min 13secs.

Total relation processing time: 0hrs 2min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 34sec.

Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

56216666731886191377703107688934878696380974880695238825362564513007669671858297185816777543722482402858306321678510108821710259611302585321<140>

43777837698031094695738084880682101<35>
1284135299684171751147070414235018728512536885926792941909507743967168933954729346058518167396623735741221<106>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:692615945
Step 1 took 5922ms
Step 2 took 3328ms
********** Factor found in step 2: 43777837698031094695738084880682101
Found prime factor of 35 digits: 43777837698031094695738084880682101
Prime cofactor 1284135299684171751147070414235018728512536885926792941909507743967168933954729346058518167396623735741221 has 106 digits

GMP-ECM

118946230208545446968582123604373740679223024091971578312951100432788925692623722519651554376086707997047098321681159156044013<126>

237954045297361001019555705625412771587010568772577<51>
499870595013013653351727865816118053352246456386078154795211694343968470669<75>

N=118946230208545446968582123604373740679223024091971578312951100432788925692623722519651554376086707997047098321681159156044013
  ( 126 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=237954045297361001019555705625412771587010568772577 (pp51)
 r2=499870595013013653351727865816118053352246456386078154795211694343968470669 (pp75)
Version: Msieve v. 1.52 (SVN 927)
Total time: 18.83 hours.
Scaled time: 148.75 units (timescale=7.899).
Factorization parameters were as follows:
n: 118946230208545446968582123604373740679223024091971578312951100432788925692623722519651554376086707997047098321681159156044013
m: 100000000000000000000000000000000
deg: 5
c5: 518
c0: -5
skew: 0.40
# Murphy_E = 4.412e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 651002 x 651228
Total sieving time: 18.65 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 18.83 hours.

GNFS, Msieve

53041322154105418274309044953638645224416942474877890989614817763006071995243829151191001697569249076874837403049508705471<122>

328802497958008872925529780423349687198187876671923002229<57>
161316664208795904039421974471251200583323417530340577469605891299<66>

N=53041322154105418274309044953638645224416942474877890989614817763006071995243829151191001697569249076874837403049508705471
  ( 122 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=328802497958008872925529780423349687198187876671923002229 (pp57)
 r2=161316664208795904039421974471251200583323417530340577469605891299 (pp66)
Version: Msieve v. 1.52 (SVN 927)
Total time: 27.44 hours.
Scaled time: 214.40 units (timescale=7.813).
Factorization parameters were as follows:
n: 53041322154105418274309044953638645224416942474877890989614817763006071995243829151191001697569249076874837403049508705471
m: 100000000000000000000000000000000
deg: 5
c5: 103600
c0: -1
skew: 0.10
# Murphy_E = 2.889e-10
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 4250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 809176 x 809401
Total sieving time: 27.27 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 27.44 hours.

GNFS, Msieve

1623569973358407773076320325967716658830904246983231468421877448675756151073499451496630622159536122864754740636263908478294938097476884500861933866165177871806926813979<169>

979874561056785096960034680650350557860952774567717280197445887237388333<72>
1656916137926270370365835904914443368852065388108069046865407393386956062485019872933410330953063<97>

Number: n
N=1623569973358407773076320325967716658830904246983231468421877448675756151073499451496630622159536122864754740636263908478294938097476884500861933866165177871806926813979  ( 169 digits)
SNFS difficulty: 172 digits.
Divisors found:

Sat Mar 12 18:02:02 2022  p72 factor: 979874561056785096960034680650350557860952774567717280197445887237388333
Sat Mar 12 18:02:02 2022  p97 factor: 1656916137926270370365835904914443368852065388108069046865407393386956062485019872933410330953063
Sat Mar 12 18:02:02 2022  elapsed time 00:12:24 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.293).
Factorization parameters were as follows:
#
# N = 518x10^170-5 = 575(170)
#
n: 1623569973358407773076320325967716658830904246983231468421877448675756151073499451496630622159536122864754740636263908478294938097476884500861933866165177871806926813979
m: 10000000000000000000000000000000000
deg: 5
c5: 518
c0: -5
skew: 0.40
# Murphy_E = 1.781e-10
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2324792 hash collisions in 16915462 relations (15532411 unique)
Msieve: matrix is 678855 x 679080 (232.6 MB)

Sieving start time : 2022/03/12 16:30:54
Sieving end time  : 2022/03/12 17:48:54

Total sieving time: 1hrs 18min 0secs.

Total relation processing time: 0hrs 6min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 27sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

1279012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679<175>

6073246909845285335451148060972320180201111690647<49>
25068200500066086953196173185961798268776836992720323<53>
8400993313685451043936906881010724301573443876531748584391008444972161859<73>

Number: n
N=1279012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679  ( 175 digits)
SNFS difficulty: 176 digits.
Divisors found:

Sat Mar 12 16:26:01 2022  found factor: 25068200500066086953196173185961798268776836992720323
Sat Mar 12 16:26:59 2022  found factor: 25068200500066086953196173185961798268776836992720323
Sat Mar 12 16:28:55 2022  p49 factor: 6073246909845285335451148060972320180201111690647
Sat Mar 12 16:28:55 2022  p53 factor: 25068200500066086953196173185961798268776836992720323
Sat Mar 12 16:28:55 2022  p73 factor: 8400993313685451043936906881010724301573443876531748584391008444972161859
Sat Mar 12 16:28:55 2022  elapsed time 00:24:29 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 518x10^174-5 = 575(174)
#
n: 1279012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679
m: 20000000000000000000000000000000000
deg: 5
c5: 32375
c0: -1
skew: 0.13
# Murphy_E = 1.19e-10
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 30200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4653076 hash collisions in 35769113 relations (32343941 unique)
Msieve: matrix is 867727 x 867952 (291.0 MB)

Sieving start time : 2022/03/12 12:15:28
Sieving end time  : 2022/03/12 16:03:10

Total sieving time: 3hrs 47min 42secs.

Total relation processing time: 0hrs 11min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 53sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

8404488504015238270069257134218602559979838305735938267159781406721025427200651399493123372429432820455708706056083354225137439026612105856874834584490906706149932789<166>

73676081290455746273674912487079639144283087<44>
2585215320266808582763170225849976128728479429265645745463<58>
44125338309552219765724535417746521589267511707643066343636805469<65>

Number: n
N=8404488504015238270069257134218602559979838305735938267159781406721025427200651399493123372429432820455708706056083354225137439026612105856874834584490906706149932789  ( 166 digits)
SNFS difficulty: 177 digits.
Divisors found:

Tue Mar 15 17:13:51 2022  found factor: 44125338309552219765724535417746521589267511707643066343636805469
Tue Mar 15 17:15:00 2022  p44 factor: 73676081290455746273674912487079639144283087
Tue Mar 15 17:15:00 2022  p58 factor: 2585215320266808582763170225849976128728479429265645745463
Tue Mar 15 17:15:00 2022  p65 factor: 44125338309552219765724535417746521589267511707643066343636805469
Tue Mar 15 17:15:00 2022  elapsed time 00:29:06 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.301).
Factorization parameters were as follows:
#
# N = 518x10^175-5 = 575(175)
#
n: 8404488504015238270069257134218602559979838305735938267159781406721025427200651399493123372429432820455708706056083354225137439026612105856874834584490906706149932789
m: 100000000000000000000000000000000000
deg: 5
c5: 518
c0: -5
skew: 0.40
# Murphy_E = 1.124e-10
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 80800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3947850 hash collisions in 34635259 relations (32870449 unique)
Msieve: matrix is 1030687 x 1030935 (337.3 MB)

Sieving start time : 2022/03/15 06:45:00
Sieving end time  : 2022/03/15 16:42:35

Total sieving time: 9hrs 57min 35secs.

Total relation processing time: 0hrs 15min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 19sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

214419485241872026711005562086500371013507042152613821768181023620581892696489524776741035279797050409489881963564644623563109411057638495601<141>

4841836653452744043703231533237684220523<40>
44284741636000493490495669052034589653887258738344759628950342013418508102770916499285876728910128787<101>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2872674261
Step 1 took 5828ms
Step 2 took 3282ms
********** Factor found in step 2: 4841836653452744043703231533237684220523
Found prime factor of 40 digits: 4841836653452744043703231533237684220523
Prime cofactor 44284741636000493490495669052034589653887258738344759628950342013418508102770916499285876728910128787 has 101 digits

GMP-ECM

956491769583038234520566899261872966009252941446027552056297695587756268345867739286966106277810469047585572405716045151399479566264207130530538383556040109877<159>

68728300992503349978799332889784987629591490663216079993025215497178975109<74>
13917000067954089442354243697853556182494178824899301133061225852204829107585320659953<86>

Number: n
N=956491769583038234520566899261872966009252941446027552056297695587756268345867739286966106277810469047585572405716045151399479566264207130530538383556040109877  ( 159 digits)
SNFS difficulty: 184 digits.
Divisors found:

Sun Mar 27 11:32:46 2022  p74 factor: 68728300992503349978799332889784987629591490663216079993025215497178975109
Sun Mar 27 11:32:46 2022  p86 factor: 13917000067954089442354243697853556182494178824899301133061225852204829107585320659953
Sun Mar 27 11:32:46 2022  elapsed time 00:28:14 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 518x10^182-5 = 575(182)
#
n: 956491769583038234520566899261872966009252941446027552056297695587756268345867739286966106277810469047585572405716045151399479566264207130530538383556040109877
m: 1000000000000000000000000000000000000
deg: 5
c5: 10360
c0: -1
skew: 0.16
# Murphy_E = 6.11e-11
type: snfs
lss: 1
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 16900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3810716 hash collisions in 32136321 relations (30245508 unique)
Msieve: matrix is 1036693 x 1036918 (355.3 MB)

Sieving start time : 2022/03/27 07:34:42
Sieving end time  : 2022/03/27 11:03:55

Total sieving time: 3hrs 29min 13secs.
Total relation processing time: 0hrs 17min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 40sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8200000,8200000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] 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, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

217194746359521840271294148708761413514891939377820874595657510388001706986984218094073988061643840876967<105>

3535471663755073422670509311568693127<37>
61433032708523052302863358735845310531764965961524969333895046941921<68>

prp68 = 61433032708523052302863358735845310531764965961524969333895046941921
prp37 = 3535471663755073422670509311568693127

Yafu, Msieve

34957366185159315834404661881961526651617453038692675486990528443351183185371894412557657721495068514413165025087646485198794713204503966446327283279513836166027243800635036323942759<182>

6263464998335658566894684194446628037147<40>

5581154551745441636448663264490389854574470394967401221289505727413474964337005337895231626641442994245354827935335622905592815501268048978597<142>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2298434621
Step 1 took 6047ms
Step 2 took 2984ms
********** Factor found in step 2: 6263464998335658566894684194446628037147
Found prime factor of 40 digits: 6263464998335658566894684194446628037147
Composite cofactor 5581154551745441636448663264490389854574470394967401221289505727413474964337005337895231626641442994245354827935335622905592815501268048978597 has 142 digits
 

GMP-ECM

5581154551745441636448663264490389854574470394967401221289505727413474964337005337895231626641442994245354827935335622905592815501268048978597<142>

127316358909512126095369492646366063462330786144616121574457793469801<69>
43836900454498149425912592956265726183395860191406699832060340966466987997<74>

Number: n
N=5581154551745441636448663264490389854574470394967401221289505727413474964337005337895231626641442994245354827935335622905592815501268048978597  ( 142 digits)
SNFS difficulty: 187 digits.
Divisors found:

Thu Oct  6 12:37:11 2022  p69 factor: 127316358909512126095369492646366063462330786144616121574457793469801
Thu Oct  6 12:37:11 2022  p74 factor: 43836900454498149425912592956265726183395860191406699832060340966466987997
Thu Oct  6 12:37:11 2022  elapsed time 00:31:06 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 518x10^185-5 = 575(185)
#
n: 5581154551745441636448663264490389854574470394967401221289505727413474964337005337895231626641442994245354827935335622905592815501268048978597
m: 10000000000000000000000000000000000000
deg: 5
c5: 518
c0: -5
skew: 0.40
# Murphy_E = 4.417e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 9300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1485201 hash collisions in 12369454 relations (11579649 unique)
Msieve: matrix is 1159897 x 1160123 (404.4 MB)

Sieving start time : 2022/10/06 09:27:43
Sieving end time  : 2022/10/06 12:05:43

Total sieving time: 2hrs 38min 0secs.

Total relation processing time: 0hrs 22min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 39sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

873762845612158539089685315636523478475328824287491578424651111794528065777842894142749019660172553339303732397<111>

20601055711292445981400505087894477325406946503<47>
42413498504991974675348912377824005381729045212539822418647576299<65>

42413498504991974675348912377824005381729045212539822418647576299 20601055711292445981400505087894477325406946503

n: 873762845612158539089685315636523478475328824287491578424651111794528065777842894142749019660172553339303732397
skew: 17802.893
c0: 78982284870049249394469616
c1: -14508049305994456693226
c2: -1169377424554235665
c3: 14298178461011
c4: 799701000
c5: 58800
Y0: -2192207343979093778067
Y1: 30436469840231183
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.394e-06
# f(x) = 58800*x^5+799701000*x^4+14298178461011*x^3-1169377424554235665*x^2-14508049305994456693226*x+78982284870049249394469616
# g(x) = 30436469840231183*x-2192207343979093778067

cado-nfs 3.0.0

205901863710241569276379802471448738387234253487001405778642609484335869817092407219787862225273379539384303231495811860988630065097<132>

1094894874881303770994592013709588325438467770566682555465596217<64>
188056285981394461512237779933758589059719685413161820251631778170641<69>

205901863710241569276379802471448738387234253487001405778642609484335869817092407219787862225273379539384303231495811860988630065097=
1094894874881303770994592013709588325438467770566682555465596217*188056285981394461512237779933758589059719685413161820251631778170641

cado polynomial
n: 205901863710241569276379802471448738387234253487001405778642609484335869817092407219787862225273379539384303231495811860988630065097
skew: 70043.755
c0: -3956646168674160654404644400699
c1: -157033089646110943634649302
c2: 1111207417125684923171
c3: 22637148056664902
c4: -373724735592
c5: 2782080
Y0: -11733554231280848865958358
Y1: 148016091398381471
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 3.962e-07
# f(x) = 2782080*x^5-373724735592*x^4+22637148056664902*x^3+1111207417125684923171*x^2-157033089646110943634649302*x-3956646168674160654404644400699
# g(x) = 148016091398381471*x-11733554231280848865958358

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

cado log (extracts)
Info:Square Root: Factors: 1094894874881303770994592013709588325438467770566682555465596217 188056285981394461512237779933758589059719685413161820251631778170641
Info:Square Root: Total cpu/real time for sqrt: 1394.55/409.205
Info:Filtering - Singleton removal: Total cpu/real time for purge: 263.65/290.501
Info:Linear Algebra: Total cpu/real time for bwc: 47178.8/12095.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 30133.76, WCT time 7695.76, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (53504 iterations)
Info:Linear Algebra: Lingen CPU time 334.76, WCT time 85.05
Info:Linear Algebra: Mksol: CPU time 16397.93,  WCT time 4198.83, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26880 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24463323
Info:Lattice Sieving: Average J: 7739.08 for 72847 special-q, max bucket fill -bkmult 1.0,1s:1.076310
Info:Lattice Sieving: Total time: 100900s
Info:Generate Factor Base: Total cpu/real time for makefb: 40.64/10.7584
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5863.52
Info:Polynomial Selection (root optimized): Rootsieve time: 5861.08
Info:Generate Free Relations: Total cpu/real time for freerel: 250.83/64.0054
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 105.77/123.393
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 122.9s
Info:Filtering - Merging: Merged matrix has 1711362 rows and total weight 293112565 (171.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 428.18/121.258
Info:Filtering - Merging: Total cpu/real time for replay: 67.7/57.3262
Info:Quadratic Characters: Total cpu/real time for characters: 65.39/26.7478
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38563/39.000/46.917/51.360/0.835
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30458/38.570/42.179/47.740/1.052
Info:Polynomial Selection (size optimized): Total time: 4824.23
Info:Square Root: Total cpu/real time for sqrt: 1394.55/409.205
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 393.75/367.216
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 316.2s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 250617/67331.5
Info:root: Cleaning up computation data in /tmp/cado.cjz7udvb
1094894874881303770994592013709588325438467770566682555465596217 188056285981394461512237779933758589059719685413161820251631778170641

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)

1634919421314725603856800369532235572566561665062955448621671114960107361716146681480731844704351798077365035708913469844987<124>

511835055275413958705586568677717432843251109496639<51>
3194231040769549846284351822811999126902563260600353286073169688783128133<73>

1634919421314725603856800369532235572566561665062955448621671114960107361716146681480731844704351798077365035708913469844987=511835055275413958705586568677717432843251109496639*3194231040769549846284351822811999126902563260600353286073169688783128133

cado polynomial
n: 1634919421314725603856800369532235572566561665062955448621671114960107361716146681480731844704351798077365035708913469844987
skew: 116841.264
c0: -343997954155492128038796542040
c1: -21657646534494182859367774
c2: 144930246339364475787
c3: 1349901013991239
c4: -2758915608
c5: 29520
Y0: -802812706397629783872037
Y1: 30992570678123263
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.919e-07
# f(x) = 29520*x^5-2758915608*x^4+1349901013991239*x^3+144930246339364475787*x^2-21657646534494182859367774*x-343997954155492128038796542040
# g(x) = 30992570678123263*x-802812706397629783872037

cado parameters (extracts)
tasks.lim0 = 2377918
tasks.lim1 = 9209388
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 57
tasks.sieve.mfb1 = 53
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3194231040769549846284351822811999126902563260600353286073169688783128133 511835055275413958705586568677717432843251109496639
Info:Square Root: Total cpu/real time for sqrt: 472.31/138.158
Info:Filtering - Singleton removal: Total cpu/real time for purge: 55.88/63.9038
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11637194
Info:Lattice Sieving: Average J: 3790.51 for 170981 special-q, max bucket fill -bkmult 1.0,1s:1.199180
Info:Lattice Sieving: Total time: 62894.2s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.55/2.28641
Info:Linear Algebra: Total cpu/real time for bwc: 7776.84/2000.18
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4871.08, WCT time 1246.08, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (22784 iterations)
Info:Linear Algebra: Lingen CPU time 127.07, WCT time 32.3
Info:Linear Algebra: Mksol: CPU time 2667.85,  WCT time 681.44, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11520 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 127.14/32.9188
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.69/55.6838
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 55.6s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2647.23
Info:Polynomial Selection (root optimized): Rootsieve time: 2644.51
Info:Filtering - Merging: Merged matrix has 726398 rows and total weight 123967537 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 143.63/41.946
Info:Filtering - Merging: Total cpu/real time for replay: 26.69/21.9814
Info:Quadratic Characters: Total cpu/real time for characters: 26.78/10.6706
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 19878/36.730/43.886/49.150/0.873
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15689/35.400/39.252/44.630/0.905
Info:Polynomial Selection (size optimized): Total time: 2407.82
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 125.28/109.232
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 97.30000000000001s
Info:Square Root: Total cpu/real time for sqrt: 472.31/138.158
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 133607/19111.1
Info:root: Cleaning up computation data in /tmp/cado.t1i5v0nb
3194231040769549846284351822811999126902563260600353286073169688783128133 511835055275413958705586568677717432843251109496639

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

5177303584806242952474363789131534366030272935101414811051789223723302762744050810282066939036419692250356146430801396205976583727523808704123527358904221395668696107<166>

22823318161256178564075242778285946411<38>
226842720599452397479123700773402619478376307106385148042647493183359998640863847571495881210149135129810968063333678072774119937<129>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2293712788
Step 1 took 18822ms
Step 2 took 9050ms
********** Factor found in step 2: 22823318161256178564075242778285946411
Found prime factor of 38 digits: 22823318161256178564075242778285946411
Prime cofactor 226842720599452397479123700773402619478376307106385148042647493183359998640863847571495881210149135129810968063333678072774119937 has 129 digits

2875517203084393506810689167333042661077083004476875362440612090602822879453494000805582681925450631642357817946035010525397988622551875752114757559881019946029<160>

73113917196168646362784058746982166347763820213978006141<56>
39329272912149177798829664041746599041468579533354191145620345034791068825302222717513190839258668480369<104>

Number: n
N=2875517203084393506810689167333042661077083004476875362440612090602822879453494000805582681925450631642357817946035010525397988622551875752114757559881019946029  ( 160 digits)
SNFS difficulty: 194 digits.
Divisors found:

Wed Apr  6 19:22:25 2022  p56 factor: 73113917196168646362784058746982166347763820213978006141
Wed Apr  6 19:22:25 2022  p104 factor: 39329272912149177798829664041746599041468579533354191145620345034791068825302222717513190839258668480369
Wed Apr  6 19:22:25 2022  elapsed time 00:55:52 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 518x10^192-5 = 575(192)
#
n: 2875517203084393506810689167333042661077083004476875362440612090602822879453494000805582681925450631642357817946035010525397988622551875752114757559881019946029
m: 100000000000000000000000000000000000000
deg: 5
c5: 10360
c0: -1
skew: 0.16
# Murphy_E = 2.376e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3875655 hash collisions in 30264766 relations (28061548 unique)
Msieve: matrix is 1540661 x 1540887 (536.1 MB)

Sieving start time : 2022/04/06 12:00:02
Sieving end time  : 2022/04/06 18:26:01

Total sieving time: 6hrs 25min 59secs.

Total relation processing time: 0hrs 45min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 15sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118659] 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)
[    0.154096] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.11 BogoMIPS (lpj=12798228)
[    0.152007] smpboot: Total of 16 processors activated (102385.82 BogoMIPS)

8121075568546777665657993423089741912606037790945334218581268330465572631580672961275329621734752379222614645176960127539319030932865426334128183586790428174216433189<166>

474257863089323360848961843682597336876778808681<48>
17123755240758604559390111988443160908651868252576113475833282656905960352236355152099660565288736626582294792861458269<119>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 8121075568546777665657993423089741912606037790945334218581268330465572631580672961275329621734752379222614645176960127539319030932865426334128183586790428174216433189 (166 digits)
Using B1=16720000, B2=58559116990, polynomial Dickson(12), sigma=1:725135994
Step 1 took 40012ms
Step 2 took 16833ms
********** Factor found in step 2: 474257863089323360848961843682597336876778808681
Found prime factor of 48 digits: 474257863089323360848961843682597336876778808681
Prime cofactor 17123755240758604559390111988443160908651868252576113475833282656905960352236355152099660565288736626582294792861458269 has 119 digits

2677687573823794717511714883135479101889113752613717721070764872667685015029684596317921121940754870108890904908490802556726397708974647261185677989976764081767687341206148342857733632117776899<193>

7929596671508880263512577174486542349125284513453881704338234847695288733125078078810719417<91>
337682694940179342537322250193988625602384652147417111224298610825286713853626199932927614417509217947<102>

Number: n
N=2677687573823794717511714883135479101889113752613717721070764872667685015029684596317921121940754870108890904908490802556726397708974647261185677989976764081767687341206148342857733632117776899  ( 193 digits)
SNFS difficulty: 198 digits.
Divisors found:

Mon Apr 11 22:17:56 2022  p91 factor: 7929596671508880263512577174486542349125284513453881704338234847695288733125078078810719417
Mon Apr 11 22:17:56 2022  p102 factor: 337682694940179342537322250193988625602384652147417111224298610825286713853626199932927614417509217947
Mon Apr 11 22:17:56 2022  elapsed time 01:36:27 (Msieve 1.54 - dependency 11)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 518x10^196-5 = 575(196)
#
n: 2677687573823794717511714883135479101889113752613717721070764872667685015029684596317921121940754870108890904908490802556726397708974647261185677989976764081767687341206148342857733632117776899
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1036
c0: -1
skew: 0.25
# Murphy_E = 1.716e-11
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3981645 hash collisions in 30070369 relations (27705501 unique)
Msieve: matrix is 1746344 x 1746569 (610.1 MB)

Sieving start time : 2022/04/11 13:13:26
Sieving end time  : 2022/04/11 20:40:56

Total sieving time: 7hrs 27min 30secs.

Total relation processing time: 1hrs 1min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 25min 49sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14000000,14000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118659] 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)
[    0.154096] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.11 BogoMIPS (lpj=12798228)
[    0.152007] smpboot: Total of 16 processors activated (102385.82 BogoMIPS)

48878624900489833004096933286374948166395912663534981341076416410578267181875888163492642072298745788857580744431458232731561599334864095994843488776765670677638830891<167>

1158763179636036635601284886041310917419<40>
42181720785987033189553009059696507578708805622141723821076102226431970917464267415680053190433752891357286520936874289752127489<128>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3308519603
Step 1 took 7156ms
Step 2 took 3828ms
********** Factor found in step 2: 1158763179636036635601284886041310917419
Found prime factor of 40 digits: 1158763179636036635601284886041310917419
Prime cofactor 42181720785987033189553009059696507578708805622141723821076102226431970917464267415680053190433752891357286520936874289752127489 has 128 digits

GMP-ECM

2293109524044594734334134322620644413312936869310437239977953762221653729876282412263139403210497154794180989134219412671596874383421577046827310609599376957<157>

1649998456964245106438616219281974494565763842662327541884495193<64>
1389764647576446564751911286804486052872276977766101882766149958186002673641280418126544412549<94>

Number: n
N=2293109524044594734334134322620644413312936869310437239977953762221653729876282412263139403210497154794180989134219412671596874383421577046827310609599376957  ( 157 digits)
SNFS difficulty: 201 digits.
Divisors found:

Thu Oct  6 09:25:44 2022  p64 factor: 1649998456964245106438616219281974494565763842662327541884495193
Thu Oct  6 09:25:44 2022  p94 factor: 1389764647576446564751911286804486052872276977766101882766149958186002673641280418126544412549
Thu Oct  6 09:25:44 2022  elapsed time 01:18:35 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 518x10^199-5 = 575(199)
#
n: 2293109524044594734334134322620644413312936869310437239977953762221653729876282412263139403210497154794180989134219412671596874383421577046827310609599376957
m: 1000000000000000000000000000000000
deg: 6
c6: 1036
c0: -1
skew: 0.31
# Murphy_E = 1.202e-11
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.6
alambda: 2.6
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 34200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3621179 hash collisions in 24006688 relations (21991842 unique)
Msieve: matrix is 1862759 x 1862984 (653.7 MB)

Sieving start time : 2022/10/05 21:03:46
Sieving end time  : 2022/10/06 08:06:44

Total sieving time: 11hrs 2min 58secs.

Total relation processing time: 1hrs 8min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 15sec.

Prototype def-par.txt line would be:
snfs,201,6,0,0,0,0,0,0,0,0,14000000,14000000,28,28,53,53,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

213665808350283306527488573111538675519389937884003987008647126314438204566548422847782909828308411932364156515396951063716442276967197206116109925380759222555341095066175229922977<180>

486719536724982880027702323184196706295525799369696077541<57>
438991641445068031961130693504675393720303728213268245385589793390437606456080154047393253905766593402339386349778539491597<123>

Number: n
N=213665808350283306527488573111538675519389937884003987008647126314438204566548422847782909828308411932364156515396951063716442276967197206116109925380759222555341095066175229922977  ( 180 digits)
SNFS difficulty: 203 digits.
Divisors found:

Mon Jul 17 00:14:10 2023  prp57 factor: 486719536724982880027702323184196706295525799369696077541
Mon Jul 17 00:14:10 2023  prp123 factor: 438991641445068031961130693504675393720303728213268245385589793390437606456080154047393253905766593402339386349778539491597
Mon Jul 17 00:14:10 2023  elapsed time 02:57:47 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.095).
Factorization parameters were as follows:
#
# N = 518x10^201-5 = 575(201)
#
n: 213665808350283306527488573111538675519389937884003987008647126314438204566548422847782909828308411932364156515396951063716442276967197206116109925380759222555341095066175229922977
m: 10000000000000000000000000000000000000000
deg: 5
c5: 1036
c0: -1
skew: 0.25
# Murphy_E = 1.06e-11
type: snfs
lss: 1
rlim: 16900000
alim: 16900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16900000/16900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2678511 hash collisions in 16207977 relations (14241589 unique)
Msieve: matrix is 2378443 x 2378668 (674.1 MB)

Sieving start time: 2023/07/16 08:50:07
Sieving end time  : 2023/07/16 21:15:53

Total sieving time: 12hrs 25min 46secs.

Total relation processing time: 2hrs 50min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 11sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,16900000,16900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1080083266629460096260204209982265272736732759195664801805043091690497884238813223370795819528758871400046951027637282917<121>

1023425354171399705755497530370689728619<40>
1055361060019792631702772710722671614738376834370173135530488458709553139453701743<82>

1080083266629460096260204209982265272736732759195664801805043091690497884238813223370795819528758871400046951027637282917=1023425354171399705755497530370689728619*1055361060019792631702772710722671614738376834370173135530488458709553139453701743

cado polynomial
n: 1080083266629460096260204209982265272736732759195664801805043091690497884238813223370795819528758871400046951027637282917
skew: 7128.334
c0: -9781509413614503386388440
c1: 18917600199572440408718
c2: 2995606941332080589
c3: -847628367191333
c4: -30882409470
c5: 1999800
Y0: -128946357041589765374803
Y1: 591621576553649
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.400e-06
# f(x) = 1999800*x^5-30882409470*x^4-847628367191333*x^3+2995606941332080589*x^2+18917600199572440408718*x-9781509413614503386388440
# g(x) = 591621576553649*x-128946357041589765374803

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1023425354171399705755497530370689728619 1055361060019792631702772710722671614738376834370173135530488458709553139453701743
Info:Square Root: Total cpu/real time for sqrt: 231.93/68.4274
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 130.75/113.283
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 101.1s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 45.03/52.5986
Info:Linear Algebra: Total cpu/real time for bwc: 5192.14/1348.97
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3170.46, WCT time 820.48, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23296 iterations)
Info:Linear Algebra: Lingen CPU time 128.18, WCT time 32.59
Info:Linear Algebra: Mksol: CPU time 1819.41,  WCT time 469.32, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11520 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13444825
Info:Lattice Sieving: Average J: 1889.01 for 267695 special-q, max bucket fill -bkmult 1.0,1s:1.271040
Info:Lattice Sieving: Total time: 32505.5s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.96/1.34766
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1720.8
Info:Polynomial Selection (root optimized): Rootsieve time: 1718.39
Info:Generate Free Relations: Total cpu/real time for freerel: 127.45/33.5342
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.18/59.9855
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 59.9s
Info:Filtering - Merging: Merged matrix has 737178 rows and total weight 74231953 (100.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 57.18/19.2182
Info:Filtering - Merging: Total cpu/real time for replay: 19.49/15.4481
Info:Quadratic Characters: Total cpu/real time for characters: 23.68/9.05366
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 19936/35.460/42.906/49.170/1.037
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16005/34.450/37.993/43.390/0.869
Info:Polynomial Selection (size optimized): Total time: 2282.53
Info:Square Root: Total cpu/real time for sqrt: 231.93/68.4274
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 70142/19329.6
Info:root: Cleaning up computation data in /tmp/cado.zz3ua7tx
1023425354171399705755497530370689728619 1055361060019792631702772710722671614738376834370173135530488458709553139453701743

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

4639162001244598235422489879368683620160186990544300361438016467013783194408461145416960940572830761674123686334746158120893865017414408849401120991098274626175942548346720560901497870831274227<193>

183045899900071350578448010423040030309542684288640131910366130146323469<72>
25344255204717589569747578271378780781184639037407596317862299160001993703954329599487459093245273112908184507872734742783<122>

Number: n
N=4639162001244598235422489879368683620160186990544300361438016467013783194408461145416960940572830761674123686334746158120893865017414408849401120991098274626175942548346720560901497870831274227  ( 193 digits)
SNFS difficulty: 205 digits.
Divisors found:

Fri Sep 22 17:14:08 2023  prp72 factor: 183045899900071350578448010423040030309542684288640131910366130146323469
Fri Sep 22 17:14:08 2023  prp122 factor: 25344255204717589569747578271378780781184639037407596317862299160001993703954329599487459093245273112908184507872734742783
Fri Sep 22 17:14:08 2023  elapsed time 04:14:47 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.095).
Factorization parameters were as follows:
#
# N = 518x10^203-5 = 575(203)
#
n: 4639162001244598235422489879368683620160186990544300361438016467013783194408461145416960940572830761674123686334746158120893865017414408849401120991098274626175942548346720560901497870831274227
m: 10000000000000000000000000000000000000000
deg: 5
c5: 103600
c0: -1
skew: 0.10
# Murphy_E = 6.826e-12
type: snfs
lss: 1
rlim: 18300000
alim: 18300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18300000/18300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 70750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3632546 hash collisions in 18350587 relations (15289884 unique)
Msieve: matrix is 2744697 x 2744922 (773.6 MB)

Sieving start time: 2023/09/21 05:08:20
Sieving end time  : 2023/09/22 12:58:59

Total sieving time: 31hrs 50min 39secs.

Total relation processing time: 3hrs 57min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 12min 15sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18300000,18300000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

30212890055409740449110527850685331000291630212890055409740449110527850685331000291630212890055409740449110527850685331000291630212890055409740449110527850685331000291630212890055409740449110527850685331<203>

418821185034671242382895196728394148121560189<45>
72137922184878563542673159016367012036763075302041149654445903519618097165846500224778269137486619433406034430814742530349602613258724548916951204734701753679<158>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 30212890055409740449110527850685331000291630212890055409740449110527850685331000291630212890055409740449110527850685331000291630212890055409740449110527850685331000291630212890055409740449110527850685331 (203 digits)
Using B1=19400000, B2=70271655100, polynomial Dickson(12), sigma=1:1876292639
Step 1 took 56960ms
Step 2 took 616ms
********** Factor found in step 2: 418821185034671242382895196728394148121560189
Found prime factor of 45 digits: 418821185034671242382895196728394148121560189
Prime cofactor 72137922184878563542673159016367012036763075302041149654445903519618097165846500224778269137486619433406034430814742530349602613258724548916951204734701753679 has 158 digits

20850064005883624707452790648607874285570633744395637542360137456727471950712597678629774963644668459900792597595225288500378769600076378022309571915218244256373041401<167>

83028456960706283472385217542023279971089189487096160763003573595513959048379993<80>
251119492871595131232026036622912747988805362622714870154613588180037406518059881802657<87>

Number: n
N=20850064005883624707452790648607874285570633744395637542360137456727471950712597678629774963644668459900792597595225288500378769600076378022309571915218244256373041401  ( 167 digits)
SNFS difficulty: 207 digits.
Divisors found:

Thu May 30 11:43:12 2024  prp80 factor: 83028456960706283472385217542023279971089189487096160763003573595513959048379993
Thu May 30 11:43:12 2024  prp87 factor: 251119492871595131232026036622912747988805362622714870154613588180037406518059881802657
Thu May 30 11:43:12 2024  elapsed time 02:40:13 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.907).
Factorization parameters were as follows:
#
# N = 518x10^205-5 = 575(205)
#
n: 20850064005883624707452790648607874285570633744395637542360137456727471950712597678629774963644668459900792597595225288500378769600076378022309571915218244256373041401
m: 10000000000000000000000000000000000
deg: 6
c6: 1036
c0: -1
skew: 0.31
# Murphy_E = 7.62e-12
type: snfs
lss: 1
rlim: 19700000
alim: 19700000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19700000/19700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49850000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 5205971 hash collisions in 23864045 relations (19015946 unique)
Msieve: matrix is 2240916 x 2241141 (631.4 MB)

Sieving start time: 2024/05/29 11:34:40
Sieving end time  : 2024/05/30 09:01:18

Total sieving time: 21hrs 26min 38secs.

Total relation processing time: 2hrs 29min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 45sec.

Prototype def-par.txt line would be:
snfs,207,6,0,0,0,0,0,0,0,0,19700000,19700000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

3547181358847044714641739869995597763041978367952744860807867335992397719259625595897792954372678083475305329712921168595342100972715536369139194851256670656869064144231763188227696680343961137217989281<202>

3787492642779410032147120889576151401709147932690338658274606804138096672320107885105706504205276915800598151365615234140862922225212801757502807<145>

186685607663134594882122691544315110877<39>
20288080533844700552625548271518972439131813155502239240544219407407024419362004865372834527654527034769091<107>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:894792328
Step 1 took 5859ms
Step 2 took 3391ms
********** Factor found in step 2: 186685607663134594882122691544315110877
Found prime factor of 39 digits: 186685607663134594882122691544315110877
Prime cofactor 20288080533844700552625548271518972439131813155502239240544219407407024419362004865372834527654527034769091 has 107 digits
 

GMP-ECM

426337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893<210>

76546096443419497853132094526374270575344959325342977321485150326892606911711586189754748451810051728166625849245778438946858641119506776439<140>

134898968834917427728103873230335792392007424121<48>
567432776577356645341791015869279624409447270787667446621662415465366965503958456913160277359<93>

567432776577356645341791015869279624409447270787667446621662415465366965503958456913160277359 134898968834917427728103873230335792392007424121

n: 76546096443419497853132094526374270575344959325342977321485150326892606911711586189754748451810051728166625849245778438946858641119506776439
skew: 133959.902
c0: 21589371747015824061361257905970
c1: -556405171583192099612607059
c2: -9183381262629149510973
c3: 36895793192331452
c4: 395475852450
c5: -361800
Y0: -1050098788877184075746146656
Y1: 5610518903295972659
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 2.607e-07
# f(x) = -361800*x^5+395475852450*x^4+36895793192331452*x^3-9183381262629149510973*x^2-556405171583192099612607059*x+21589371747015824061361257905970
# g(x) = 5610518903295972659*x-1050098788877184075746146656

cado-nfs 3.0.0

9304602875963593929997782995993357526293233790287868996818027582207215024239966341553711400334848651574052101721700145180318195315363714699506580887002027859713174385188306198833530293<184>

345953112779483832556990722048567906554749998552156158707200928050031399848353596645288495228805249417693787501330615310805895156900719718064189856979276539216837<162>

5655227595972679158513457914151950445184774855473862595544719724007428043163294231464764277936777532621092104928370545577823302213205589609940270136584173364179290259725989657491<178>

810456695674325733222077948667143385094031<42>
6977828212360377913733989996545779631031458745062868573432250709853497651056395154450361904328819836176760597231816024059167076607113661<136>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4164682944
Step 1 took 78387ms
Step 2 took 31205ms
********** Factor found in step 2: 810456695674325733222077948667143385094031
Found prime factor of 42 digits: 810456695674325733222077948667143385094031
Prime cofactor 6977828212360377913733989996545779631031458745062868573432250709853497651056395154450361904328819836176760597231816024059167076607113661 has 136 digits

90647368626492206061548453388716235271888992855050772031890720668501761462424975372244054273186069017975145796165029619208451983691528145943556710901822662424854927<164>

484649213449839387483644493974396658838163<42>

187037069515174401560632606562117424381201211247011953745491513126373953306131867677978263539912274111778572605497422241429<123>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3406641024
Step 1 took 46636ms
Step 2 took 20667ms
********** Factor found in step 2: 484649213449839387483644493974396658838163
Found prime factor of 42 digits: 484649213449839387483644493974396658838163
Composite cofactor 187037069515174401560632606562117424381201211247011953745491513126373953306131867677978263539912274111778572605497422241429 has 123 digits

187037069515174401560632606562117424381201211247011953745491513126373953306131867677978263539912274111778572605497422241429<123>

36585186347211489874584892653053698142069291<44>
5112371650648440708936034415660476593958489144753642106209510379343657281593919<79>

36585186347211489874584892653053698142069291

295891652021826124716694098295219205012692106192747619652371789844432853646033441598010496030108604867667251154592270467350984972459359386763458655259396306902629953082924035385692804659742723<192>

880037734408535387842567574086429157281<39>
336226096282896280978070649838012853040744286075455267578741157230931792354267960356225220872824548880519113432597167043848918209739435024288465813896483<153>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1511082588
Step 1 took 27172ms
Step 2 took 11982ms
********** Factor found in step 2: 880037734408535387842567574086429157281
Found prime factor of 39 digits: 880037734408535387842567574086429157281
Prime cofactor 336226096282896280978070649838012853040744286075455267578741157230931792354267960356225220872824548880519113432597167043848918209739435024288465813896483 has 153 digits

184503067017100679232903423556098899278744564053900391185860355993574385058802009012579460070331536214690304807811017839646072824347180019594403808979622154494993102336811306973405081447053494122912142768558741879<213>

7684962121989236169736313800165509804593683732597<49>

24008324841208514777167516265018109066678428938279462726689501322193832984145736589684157828806657744195479601292911899920465455642758740300058762913663272931282107<164>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:4219819077
Step 1 took 111426ms
Step 2 took 31796ms
********** Factor found in step 2: 7684962121989236169736313800165509804593683732597
Found prime factor of 49 digits: 7684962121989236169736313800165509804593683732597
Composite cofactor 24008324841208514777167516265018109066678428938279462726689501322193832984145736589684157828806657744195479601292911899920465455642758740300058762913663272931282107 has 164 digits

24008324841208514777167516265018109066678428938279462726689501322193832984145736589684157828806657744195479601292911899920465455642758740300058762913663272931282107<164>

2471606860607451783396777623802279018901037725027982122637<58>
9713650347817832383784872939234157599832276401233738074022188615904185110044358030183278865488598238366311<106>

Number: 57555_219
N = 24008324841208514777167516265018109066678428938279462726689501322193832984145736589684157828806657744195479601292911899920465455642758740300058762913663272931282107 (164 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=2471606860607451783396777623802279018901037725027982122637 (pp58)
r2=9713650347817832383784872939234157599832276401233738074022188615904185110044358030183278865488598238366311 (pp106)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 49.66 hours.
Factorization parameters were as follows:
n: 24008324841208514777167516265018109066678428938279462726689501322193832984145736589684157828806657744195479601292911899920465455642758740300058762913663272931282107
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 259
c0: -25
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30341632
Relations: 8488614 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 14.56 hours.
Total relation processing time: 0.36 hours.
Pruned matrix : 7196725 x 7196950
Matrix solve time: 34.27 hours.
time per square root: 0.46 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 49.66 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

2680734059136531985015517756538752489209386814635956429503327040148998307035835786139530509166524867501859017401026689835992473382391080085479782817505344634393156389897<169>

495011671951804441084940812136663756801442355558651538979530311210475063<72>
5415496666101915418351871178009006805003615592707492247008083085817583156417764109964105848489919<97>

Number: 57555_221
N = 2680734059136531985015517756538752489209386814635956429503327040148998307035835786139530509166524867501859017401026689835992473382391080085479782817505344634393156389897 (169 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=495011671951804441084940812136663756801442355558651538979530311210475063 (pp72)
r2=5415496666101915418351871178009006805003615592707492247008083085817583156417764109964105848489919 (pp97)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 54.06 hours.
Factorization parameters were as follows:
n: 2680734059136531985015517756538752489209386814635956429503327040148998307035835786139530509166524867501859017401026689835992473382391080085479782817505344634393156389897
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1036
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30815652
Relations: 7968272 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 13.49 hours.
Total relation processing time: 0.42 hours.
Pruned matrix : 6825061 x 6825286
Matrix solve time: 39.93 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 54.06 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

231281026762742055351621947497867459451591608606422424079658900669487134323153619492257778331423478908666095607915258274603356387765412279638406848775918376550068435520032932989447914776067057210130198269901832812839401<219>

1050301156629949920707539310008886105767169972844141255576186121685057139382873259927599253056487007612912899<109>
220204486401635700573738223785048032895223128984610049486703706081559979044099654301429352791181135191756577699<111>

Number: 57555_223
N = 231281026762742055351621947497867459451591608606422424079658900669487134323153619492257778331423478908666095607915258274603356387765412279638406848775918376550068435520032932989447914776067057210130198269901832812839401 (219 digits)
SNFS difficulty: 226 digits.
Divisors found:
r1=1050301156629949920707539310008886105767169972844141255576186121685057139382873259927599253056487007612912899 (pp109)
r2=220204486401635700573738223785048032895223128984610049486703706081559979044099654301429352791181135191756577699 (pp111)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 140.22 hours.
Factorization parameters were as follows:
n: 231281026762742055351621947497867459451591608606422424079658900669487134323153619492257778331423478908666095607915258274603356387765412279638406848775918376550068435520032932989447914776067057210130198269901832812839401
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 103600
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31026389
Relations: 13493186 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 24.96 hours.
Total relation processing time: 0.40 hours.
Pruned matrix : 11166465 x 11166690
Matrix solve time: 114.37 hours.
time per square root: 0.48 hours.
Prototype def-par.txt line would be: snfs,226,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 140.22 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

2396366485053837079076930936521059226470162951125594632997160312714482702681452376312400686090420849066739478640148738672703674049252283205789622795900947876435112746329002608199<178>

557027993503723168585964209705415903<36>
4302057550071439620657942395451018951610145248405984796345125581618976044761604137140518081832308325989892005515714507744869484619292309287833<142>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:700544849
Step 1 took 8735ms
Step 2 took 4217ms
********** Factor found in step 2: 557027993503723168585964209705415903
Found prime factor of 36 digits: 557027993503723168585964209705415903
Prime cofactor 4302057550071439620657942395451018951610145248405984796345125581618976044761604137140518081832308325989892005515714507744869484619292309287833 has 142 digits

2203209544644011420196315753018423659289040867814466533321449612353149225402776371530372955526280089733577311143950842567088740793226466186507344843486949992183497411834880333077646187047088648921940434698772448626459411<220>

144192792100571312171320282431547209547136595859<48>

15279609421165248338103191436724563753177166259727998860621678308642416073949941786558391281561362118579374317462882629425001510218080709927571720599447941541986232947750529<173>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:321526373
Step 1 took 44556ms
Step 2 took 17755ms
********** Factor found in step 2: 144192792100571312171320282431547209547136595859
Found prime factor of 48 digits: 144192792100571312171320282431547209547136595859
Composite cofactor 15279609421165248338103191436724563753177166259727998860621678308642416073949941786558391281561362118579374317462882629425001510218080709927571720599447941541986232947750529 has 173 digits

31173441453184302853668714670406587393715371953829140566871025967379207278839009084355021811108647216749102326207955536672097922275505288506937732174862041092220188459260898026113101530518681876836817<200>

12042011069373055838598152280930454796459782758526689994682779434421547159178921833457562825577180704004963515021427346234063113699945879105601873903765235961898282230506518606578091759120002051371895398800231731<212>

1151111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<232>

383041082272510957686713231281627392027079634637180094424924095633098687650690185225189051273072808356297604249237621246977086433058326897089664093426132483684480790117687799603883910878929984765041<198>

155729822722138270312218920094567493<36>

2459651437194235817339497175089634997165813277602448368918961252751631298486799637461290523735023192642620583420511635293521670222758770069510271754613827182104637<163>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3882514603
Step 1 took 74627ms
Step 2 took 28854ms
********** Factor found in step 2: 155729822722138270312218920094567493
Found prime factor of 36 digits: 155729822722138270312218920094567493
Composite cofactor 2459651437194235817339497175089634997165813277602448368918961252751631298486799637461290523735023192642620583420511635293521670222758770069510271754613827182104637 has 163 digits

1262090516498361536061617305648720007533559608133076968151584380435988925277541135805934334989766224532968642776365235351252825846249355706446029854288238814814165089967196610677846157257209296149417872931606023582819147180098733<229>

11836457425017449568183434553396587953557872777036592566709135830737658316937092724688046573021046212426676699667300576169973915783198672440923575968719736815411557677105916154814377874433259<191>

60245723280914642258125012642295659984024391<44>
196469670881470577719576317470061235095585155075515992118193855788211231067882852875661432986326746993440404424076983760158165303672552933724089149<147>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4249487260
Step 1 took 58970ms
Step 2 took 26654ms
********** Factor found in step 2: 60245723280914642258125012642295659984024391
Found prime factor of 44 digits: 60245723280914642258125012642295659984024391
Prime cofactor 196469670881470577719576317470061235095585155075515992118193855788211231067882852875661432986326746993440404424076983760158165303672552933724089149 has 147 digits

13870775297324554359433935990094208555134385766352065982675596663326755185290493431063701862689749170142794557642681790022397857544085939459275567444224300489374982335654928593893221726986846078370417404253969135801599981627<224>

232524069382089422727057352127781720122748287572793096583343918153084357231884285322650307070892670475016950064045382470610705493431764390919261279439030960545632430311201623406261498748828586774950490732616381233899046509<222>

1353560857150100088429393588123868159134527<43>

171786933815199850131586267481534955435003851003993707439471236651742054209353045181706853953735106441704142055244461709118587334695853158671789848330789487729972649218745668771667<180>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4129419062
Step 1 took 43052ms
Step 2 took 17902ms
********** Factor found in step 2: 1353560857150100088429393588123868159134527
Found prime factor of 43 digits: 1353560857150100088429393588123868159134527
Composite cofactor 171786933815199850131586267481534955435003851003993707439471236651742054209353045181706853953735106441704142055244461709118587334695853158671789848330789487729972649218745668771667 has 180 digits

378990370777397572322626350640211904844178983210394070318815369058862159385702290639823401888878916455275374678994748504799598849155550115845564385356936079305634659638430629708332344887821287325019739835935724069416475007<222>

147433399188004605404414000028137863469353905974682958410775554672671421811897938130207880522191060679046413246120620224525734459056385057769750262580769564395315218525434904843624439972365362584252934609547404942293459672667624263387<234>

3861908598207538180003570252481342911<37>

38176304653205457509749667349346333635828655242049113431767765388461576028671796144139537283352003632894236048906277045609483259979745704721300577509430684532183692567474867580438858750219363474917<197>

Resuming ECM residue saved by @e8175a5c4a50 with GMP-ECM 7.0.5-dev on Tue Mar 22 22:53:20 2022 
Input number is 147433399188004605404414000028137863469353905974682958410775554672671421811897938130207880522191060679046413246120620224525734459056385057769750262580769564395315218525434904843624439972365362584252934609547404942293459672667624263387 (234 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:682664558
Step 1 took 0ms
Step 2 took 4443ms
********** Factor found in step 2: 3861908598207538180003570252481342911
Found prime factor of 37 digits: 3861908598207538180003570252481342911
Composite cofactor 38176304653205457509749667349346333635828655242049113431767765388461576028671796144139537283352003632894236048906277045609483259979745704721300577509430684532183692567474867580438858750219363474917 has 197 digits

502010951204147889712652032756699132625866162717449241653341086398216795076803799001792896254300528177545185831273925473663807723990890148761932451422202839560013567863546058051073314919804235111692590977370741871396036245578330183650724427<240>

13919581711114421304910627202566282135403756261<47>

36065088852727901859608200068309848838830720696062914841672170923929237503000714410060150863329079379687998810563726223166871399114724515527500563407485522206576751577661895096186305484509834607<194>

Resuming ECM residue saved by @396a78a87757 with GMP-ECM 7.0.5-dev on Sun May 15 22:35:04 2022 
Input number is 502010951204147889712652032756699132625866162717449241653341086398216795076803799001792896254300528177545185831273925473663807723990890148761932451422202839560013567863546058051073314919804235111692590977370741871396036245578330183650724427 (240 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:4107853345
Step 1 took 0ms
Step 2 took 40808ms
********** Factor found in step 2: 13919581711114421304910627202566282135403756261
Found prime factor of 47 digits: 13919581711114421304910627202566282135403756261
Composite cofactor 36065088852727901859608200068309848838830720696062914841672170923929237503000714410060150863329079379687998810563726223166871399114724515527500563407485522206576751577661895096186305484509834607 has 194 digits

1601423521871082085264403708124402897633030098625310150438557137063820988381193069366914763853875611733559754738899067713765066471119434762750540282572580025116465320021113442644445399750831453507233549818869047313948401<220>

1906221517109111964703409466186189268763<40>
840103580563778062229648436682156264124937328564550977031528164701339240966690106353103045691259536791861627113736623490088891286865004170585979594644187261259657767145736186918627<180>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:794718400
Step 1 took 47595ms
Step 2 took 18677ms
********** Factor found in step 2: 1906221517109111964703409466186189268763
Found prime factor of 40 digits: 1906221517109111964703409466186189268763
Prime cofactor 840103580563778062229648436682156264124937328564550977031528164701339240966690106353103045691259536791861627113736623490088891286865004170585979594644187261259657767145736186918627 has 180 digits

90805266033293599970353244283333993318585272581917091468977380050677408999911703694571326729828027962325395552406096837524010839375429289009070671044134233178007504298657115347575037383838034509<194>

24056622077609196210857390334817857191307017378363470266564760753274432098920721237248119616186567412686004720458113148661109702009302117128215931952985669216928368258537275755827750040723773907368882386216382474873<215>

2449172576832151300236406619385342789598108747044917257683215130023640661938534278959810874704491725768321513002364066193853427895981087470449172576832151300236406619385342789598108747044917257683215130023640661938534278959810874704491725768321513<247>

315677977017989194536290884320955267660390167806711871961372453869407706508012459533243332644145343294794214095038261488424471678629303865011377539970505033080395232023775017825835132468592002478559013718408204772713206321441071873109<234>

16327053231641502998906698226679712366326394112332416215544980972043472608414580509392192694577694256032955066619274428806295766156760860282812574971964291264202505958458459691<176>

396757009310002795681629307934757216113849347227488060907562510292321066801472137011378041261197087895464485269055634064423227901668600665602009827012412060493954817189229349295526526423021097822049119743256854207117882022235243205153245479995557547<249>

367869227674661999977095559999592130329<39>
1078527312050380887944721457823528882835091838795805499801317423604594675528439352458530235326568762915285504748559121157596626609146536034996359609638934149289216540806904563420265928530516092178393649504364643<211>

Resuming ECM residue saved by @f3d5b906a191 with GMP-ECM 7.0.5-dev on Tue Apr 26 23:27:16 2022 
Input number is 396757009310002795681629307934757216113849347227488060907562510292321066801472137011378041261197087895464485269055634064423227901668600665602009827012412060493954817189229349295526526423021097822049119743256854207117882022235243205153245479995557547 (249 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3213822294
Step 1 took 0ms
Step 2 took 14769ms
********** Factor found in step 2: 367869227674661999977095559999592130329
Found prime factor of 39 digits: 367869227674661999977095559999592130329
Prime cofactor 1078527312050380887944721457823528882835091838795805499801317423604594675528439352458530235326568762915285504748559121157596626609146536034996359609638934149289216540806904563420265928530516092178393649504364643 has 211 digits

30135910897239565870790919644377804222719306516744187624854323027047245311917443313921301427311300314613852652915243643706341253228796670307636926716500376573087090598111906562554861756819358426456828117281961206079974730481439877<230>

1151111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<256>

997795935492539685728902287689074350750833034006515401104281185505607397070193411964572414897446044147934867847935729081714523407842214430319620214281267200452155821320578784367947505184835772256988281053659788663248198312600487306785761871<240>

730477629124134407215815545598568387856147303<45>

1365950024628308349105155943843723849475007465654693681799191866968963508264447565187908856426317757352880899435134515156736246558711553526317912966395607274753952511066801237926063355110290135257<196>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3291455720
Step 1 took 140775ms
Step 2 took 44033ms
********** Factor found in step 2: 730477629124134407215815545598568387856147303
Found prime factor of 45 digits: 730477629124134407215815545598568387856147303
Composite cofactor 1365950024628308349105155943843723849475007465654693681799191866968963508264447565187908856426317757352880899435134515156736246558711553526317912966395607274753952511066801237926063355110290135257 has 196 digits

74919383031536733977844235368687067194508087233155833116971806107886420949400223394808290158196213952178066271877936955496114209369775959803111867901623187557061514770748691003699222529756788219569353208580258806328465683<221>

46611017055478243618116077306863199803250693551145665959461622899562530433908032401346865384588476653252581348992300508234436072619406643159275536623520639838087677146108729217854390125800446363356107031815019619241<215>

18185009654203967000175530981218185009654203967000175530981218185009654203967000175530981218185009654203967000175530981218185009654203967000175530981218185009654203967000175530981218185009654203967000175530981218185009654203967000175530981218185009654203967<257>

208759006487993215079815165395924710878119597837369577046260818987520817731111824812127983553542419293557959980113725203674723132092665821236423082508058874225341201656733687346181270724249495772918337196821023<210>

2541923878969273330871222277393819809060213476430606385188911823655287258248094964616527642343210122964197600072103278478074867316611686362209754399023037070654786716814385395055362321509733008574366451520235894376377<217>

139139468419635248883920182567675783<36>
535595623162242480343185942253320403<36>

34109486531085694061454724929025125728017060333631757636715363804124189542727256052956634048740488657488524698851999988240719647080705229839148773<146>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2242161704
Step 1 took 29797ms
Step 2 took 12082ms
********** Factor found in step 2: 139139468419635248883920182567675783
Found prime factor of 36 digits: 139139468419635248883920182567675783
Composite cofactor 18268891694360958875268080056654115050535332076746171034772378605296384085453199775288092419304625402973276321220775529391759476496387620519178022721127813355653842487209958353315519 has 182 digits
--
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4008944714
Step 1 took 22900ms
Step 2 took 9518ms
********** Factor found in step 2: 535595623162242480343185942253320403
Found prime factor of 36 digits: 535595623162242480343185942253320403
Composite cofactor 34109486531085694061454724929025125728017060333631757636715363804124189542727256052956634048740488657488524698851999988240719647080705229839148773 has 146 digits

34109486531085694061454724929025125728017060333631757636715363804124189542727256052956634048740488657488524698851999988240719647080705229839148773<146>

337905922969422750000903885072214953653216025407166109<54>
100943736739921767916433522446053960394123153866396207096257453052710519504797092165536561897<93>

GMP-ECM 7.0.5-dev [configured with GMP 6.2.1, --enable-asm-redc, --enable-assert] [ECM]
Input number is 34109486531085694061454724929025125728017060333631757636715363804124189542727256052956634048740488657488524698851999988240719647080705229839148773 (146 digits)

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2920173312
Step 1 took 54203ms
Step 2 took 20985ms
********** Factor found in step 2: 337905922969422750000903885072214953653216025407166109
Found prime factor of 54 digits: 337905922969422750000903885072214953653216025407166109
Prime cofactor 100943736739921767916433522446053960394123153866396207096257453052710519504797092165536561897 has 93 digits

657726862062583069260128857129134235405960313730540903537228658034194690420641637023916417139017322040555840823462836576520264629105152035459567485073579131179420076070663747278367877371535351672264035960703<207>

40524715301581893181893426838965981209453738543648769211290202704029270220811416303806487723676474266125009249283827222150624908988968981552043082282231123396983154984678439762576100894114381429326502868871402722185783425091456152858826087<239>