17341369103582059988952391829580740224868131661101231172344726535376391063813943848754873762017<95>

681951964890453645385369817419072364989<39>
25429018459339311768976503999455308991199546738561598453<56>

N=17341369103582059988952391829580740224868131661101231172344726535376391063813943848754873762017
  ( 95 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=681951964890453645385369817419072364989 (pp39)
 r2=25429018459339311768976503999455308991199546738561598453 (pp56)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.41 hours.
Scaled time: 18.90 units (timescale=7.855).
Factorization parameters were as follows:
n: 17341369103582059988952391829580740224868131661101231172344726535376391063813943848754873762017
m: 1000000000000000000000000000000000
deg: 4
c4: 1
c0: 1115
skew: 5.78
# Murphy_E = 1.131e-08
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, 1155001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 137007 x 137232
Total sieving time: 2.39 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,132.000,4,0,0,0,0,0,0,0,0,1110000,1110000,26,26,47,47,2.3,2.3,100000
total time: 2.41 hours.

GNFS, Msieve

2050129117969653956558824383406528696581935192527076554608129929521703697799779721991975685983152508797114659161881294061<121>

95554731877143385805398634078974719141671<41>
21455024546618430469968007273384425074859363742747958273928986300838681689862091<80>

N=2050129117969653956558824383406528696581935192527076554608129929521703697799779721991975685983152508797114659161881294061
  ( 121 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=95554731877143385805398634078974719141671 (pp41)
 r2=21455024546618430469968007273384425074859363742747958273928986300838681689862091 (pp80)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.31 hours.
Scaled time: 26.21 units (timescale=7.930).
Factorization parameters were as follows:
n: 2050129117969653956558824383406528696581935192527076554608129929521703697799779721991975685983152508797114659161881294061
m: 1000000000000000000000000000000000
deg: 4
c4: 200
c0: 223
skew: 1.03
# Murphy_E = 6.635e-09
type: snfs
lss: 1
rlim: 1210000
alim: 1210000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1210000/1210000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [605000, 1505001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 194267 x 194491
Total sieving time: 3.27 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,134.000,4,0,0,0,0,0,0,0,0,1210000,1210000,26,26,47,47,2.3,2.3,100000
total time: 3.31 hours.

GNFS, Msieve

3732926628967598250598093180819317547587868612830464022619173581715251934126155867472779947380119368054517935393164153118003<124>

530354991459811985843829762009610158482771<42>
7038543407864698738697886664366031737082519625567272625719990852268587646852959393<82>

N=3732926628967598250598093180819317547587868612830464022619173581715251934126155867472779947380119368054517935393164153118003
  ( 124 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=530354991459811985843829762009610158482771 (pp42)
 r2=7038543407864698738697886664366031737082519625567272625719990852268587646852959393 (pp82)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.80 hours.
Scaled time: 21.99 units (timescale=7.855).
Factorization parameters were as follows:
n: 3732926628967598250598093180819317547587868612830464022619173581715251934126155867472779947380119368054517935393164153118003
m: 10000000000000000000000000000000000
deg: 4
c4: 2
c0: 223
skew: 3.25
# Murphy_E = 8.338e-09
type: snfs
lss: 1
rlim: 1310000
alim: 1310000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1310000/1310000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [655000, 1355001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 173872 x 174098
Total sieving time: 2.77 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,136.000,4,0,0,0,0,0,0,0,0,1310000,1310000,26,26,48,48,2.3,2.3,100000
total time: 2.80 hours.

GNFS, Msieve

11210224561131475626519921226269618687919567600721411585712516089597580912958511268249263759754193544960159<107>

7997674228655502498697206517324602584508646589<46>
1401685570158068112910573657420612686360401622243884139413131<61>

CADO

STA:Wed 29 Dec 2021 11:23:21 AEDT (11,210,224,561,131,475,626,519,921,226,269,618,687,919,567,600,721,411,585,712,516,089,597,580,912,958,511,268,249,263,759,754,193,544,960,159 - C107)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 11210224561131475626519921226269618687919567600721411585712516089597580912958511268249263759754193544960159 2>&1 | tee -a log120

Debug:root: Looking for parameter file for c107 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c105
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c105
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.twyoqcy_
Info:Database: Opened connection to database /tmp/cado.twyoqcy_/c105.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1121022456113147562651992122626961868791956760072141158571251608959758091295851126824
9263759754193544960159
Debug:root: Root parameter dictionary:
N = 11210224561131475626519921226269618687919567600721411585712516089597580912958511268249263759754193544960159
lim0 = 823116
lim1 = 1218966
lpb0 = 24
lpb1 = 24
name = c105
...
n: 11210224561131475626519921226269618687919567600721411585712516089597580912958511268249263759754193544960159
skew: 191680.29
c0: 178764507307827265048126329
c1: 3714823518292137233803
c2: -35406081241189484
c3: -123840683628
c4: 198660
Y0: -15413057760342081454279090
Y1: 2922665133106297
# MurphyE (Bf=1.22e+06,Bg=8.23e+05,area=2.56e+12) = 3.93e-09
# f(x) = 198660*x^4-123840683628*x^3-35406081241189484*x^2+3714823518292137233803*x+178764507307827265048126329
# g(x) = 2922665133106297*x-15413057760342081454279090
...
Info:Square Root: finished
Info:Square Root: Factors: 1401685570158068112910573657420612686360401622243884139413131 7997674228655502498697206517324602584508646589
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11429.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11473/35.240/40.379/41.530/0.673
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11473/33.710/39.254/41.200/1.019
Info:Polynomial Selection (size optimized): Total time: 230.33
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 82.68
Info:Polynomial Selection (root optimized): Rootsieve time: 82.32
Info:Generate Factor Base: Total cpu/real time for makefb: 1.19/0.129953
Info:Generate Free Relations: Total cpu/real time for freerel: 13.24/0.888972
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2097782
Info:Lattice Sieving: Average J: 952.689 for 278218 special-q, max bucket fill: 0.822206
Info:Lattice Sieving: Total CPU time: 18583.5s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 5.81/5.07594
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 4.699999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 32.95/17.8355
Info:Filtering - Singleton removal: Total cpu/real time for purge: 25.43/14.6097
Info:Filtering - Merging: Total cpu/real time for merge: 92.15/71.7425
Info:Filtering - Merging: Total cpu/real time for replay: 9.47/7.49387
Info:Linear Algebra: Total cpu/real time for bwc: 1965.68/0.000144243
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 77.84
Info:Linear Algebra: Lingen CPU time 56.3, WCT time 5.82
Info:Linear Algebra: Mksol: WCT time 47.29
Info:Quadratic Characters: Total cpu/real time for characters: 8.84/2.10739
Info:Square Root: Total cpu/real time for sqrt: 155.6/23.3054
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 21206.9/1628.12
Info:root: Cleaning up computation data in /tmp/cado.twyoqcy_
1401685570158068112910573657420612686360401622243884139413131 7997674228655502498697206517324602584508646589

END:Wed 29 Dec 2021 11:50:30 AEDT (11,210,224,561,131,475,626,519,921,226,269,618,687,919,567,600,721,411,585,712,516,089,597,580,912,958,511,268,249,263,759,754,193,544,960,159 - C107)

245671919012853478434309040795617930591494211078886676912573810298552401486506980261575088289148815878955581533738370997<120>

64587851440920373872613072908832368214669607<44>
3803686196893758524429234999318639734436719514593479539397995300790585272771<76>

N=245671919012853478434309040795617930591494211078886676912573810298552401486506980261575088289148815878955581533738370997
  ( 120 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=64587851440920373872613072908832368214669607 (pp44)
 r2=3803686196893758524429234999318639734436719514593479539397995300790585272771 (pp76)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.21 hours.
Scaled time: 40.99 units (timescale=7.868).
Factorization parameters were as follows:
n: 245671919012853478434309040795617930591494211078886676912573810298552401486506980261575088289148815878955581533738370997
m: 100000000000000000000000000000000000
deg: 4
c4: 2
c0: 223
skew: 3.25
# Murphy_E = 5.273e-09
type: snfs
lss: 1
rlim: 1530000
alim: 1530000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1530000/1530000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [765000, 1265001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 169883 x 170108
Total sieving time: 5.18 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,140.000,4,0,0,0,0,0,0,0,0,1530000,1530000,26,26,48,48,2.3,2.3,100000
total time: 5.21 hours.

GNFS, Msieve

347731456424870285474488930024157369107257878332830483681360103517201074723432710055237044873564079588339140612940729<117>

142777479842952707206661334956191978451437<42>
2435478317780616116342782198975367098826811936201219840297707915626524929917<76>

N=347731456424870285474488930024157369107257878332830483681360103517201074723432710055237044873564079588339140612940729
  ( 117 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=142777479842952707206661334956191978451437 (pp42)
 r2=2435478317780616116342782198975367098826811936201219840297707915626524929917 (pp76)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.91 hours.
Scaled time: 54.28 units (timescale=7.855).
Factorization parameters were as follows:
n: 347731456424870285474488930024157369107257878332830483681360103517201074723432710055237044873564079588339140612940729
m: 1000000000000000000000000000000000000
deg: 4
c4: 1
c0: 1115
skew: 5.78
# Murphy_E = 2.865e-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, 1580001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 262151 x 262376
Total sieving time: 6.85 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 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: 6.91 hours.

GNFS, Msieve

1363326516700749829584185412406271301976823449216087252897068847989093387866394001363326516700749829584185412406271301976823449216087252897069<142>

29861027157228155146680523466717673531740023729<47>
45655714035635349710404504529125015700939630852917344167763193192330313403203069611757110502461<95>

12/29/21 13:09:41 v1.34.5 @ DESKTOP-RJPVCOL, Starting factorization of 1363326516700749829584185412406271301976823449216087252897068847989093387866394001363326516700749829584185412406271301976823449216087252897069
12/29/21 13:09:41 v1.34.5 @ DESKTOP-RJPVCOL, using pretesting plan: noecm
12/29/21 13:09:41 v1.34.5 @ DESKTOP-RJPVCOL, no tune info: using qs/gnfs crossover of 95 digits
12/29/21 13:09:41 v1.34.5 @ DESKTOP-RJPVCOL, ****************************
12/29/21 13:09:41 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing nfs on c142: 1363326516700749829584185412406271301976823449216087252897068847989093387866394001363326516700749829584185412406271301976823449216087252897069
12/29/21 13:09:41 v1.34.5 @ DESKTOP-RJPVCOL, nfs: continuing with sieving - could not determine last special q; using default startq
12/29/21 13:09:41 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
12/29/21 13:14:45 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
12/29/21 13:19:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
12/29/21 13:25:08 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
12/29/21 13:30:17 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
12/29/21 13:35:31 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
12/29/21 13:40:38 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
12/29/21 13:45:47 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
12/29/21 13:51:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
12/29/21 13:56:16 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
12/29/21 14:01:31 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
12/29/21 14:02:07 v1.34.5 @ DESKTOP-RJPVCOL, nfs: raising min_rels by 5.00 percent to 5129461
12/29/21 14:02:07 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
12/29/21 14:07:22 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
12/29/21 14:08:18 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve linear algebra
12/29/21 14:11:21 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve sqrt
12/29/21 14:11:40 v1.34.5 @ DESKTOP-RJPVCOL, prp95 = 45655714035635349710404504529125015700939630852917344167763193192330313403203069611757110502461
12/29/21 14:11:40 v1.34.5 @ DESKTOP-RJPVCOL, prp47 = 29861027157228155146680523466717673531740023729
12/29/21 14:11:41 v1.34.5 @ DESKTOP-RJPVCOL, NFS elapsed time = 3719.9350 seconds.

899685110211426000899685110211426000899685110211426000899685110211426000899685110211426000899685110211426000899685110211426000899685110211426001<144>

1809590197314529195247856204538861427192871183469<49>
497176162617689944622929344104954314293747769321641737236232939408079947891705227002640496096629<96>

N=899685110211426000899685110211426000899685110211426000899685110211426000899685110211426000899685110211426000899685110211426000899685110211426001
  ( 144 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=1809590197314529195247856204538861427192871183469 (pp49)
 r2=497176162617689944622929344104954314293747769321641737236232939408079947891705227002640496096629 (pp96)
Version: Msieve v. 1.52 (SVN 927)
Total time: 10.03 hours.
Scaled time: 79.09 units (timescale=7.886).
Factorization parameters were as follows:
n: 899685110211426000899685110211426000899685110211426000899685110211426000899685110211426000899685110211426000899685110211426000899685110211426001
m: 10000000000000000000000000000000000000
deg: 4
c4: 1
c0: 1115
skew: 5.78
# Murphy_E = 1.797e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 294059 x 294289
Total sieving time: 9.98 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,148.000,4,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 10.03 hours.

GNFS, Msieve

8104459007530528536841266154599704752511079894581248142815828706853604091154943280757353175092699986525213864468868505385019669737<130>

107481715293918553267484309905363434424911219459931<51>
75403141691292758206485341652567377108329694897567805872726204121687253883503627<80>

N=8104459007530528536841266154599704752511079894581248142815828706853604091154943280757353175092699986525213864468868505385019669737
  ( 130 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=107481715293918553267484309905363434424911219459931 (pp51)
 r2=75403141691292758206485341652567377108329694897567805872726204121687253883503627 (pp80)
Version: Msieve v. 1.52 (SVN 927)
Total time: 17.33 hours.
Scaled time: 136.80 units (timescale=7.893).
Factorization parameters were as follows:
n: 8104459007530528536841266154599704752511079894581248142815828706853604091154943280757353175092699986525213864468868505385019669737
m: 1000000000000000000000000000000000000000
deg: 4
c4: 2
c0: 223
skew: 3.25
# Murphy_E = 8.066e-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, 3000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 565270 x 565495
Total sieving time: 17.23 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,156.000,4,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 17.33 hours.

GNFS, Msieve

368563030429062272101151568021638750002195043166636755936259975719633929935857126176010505086171091769246583077398268936232179147128987368057<141>

4964131911468770338152113114095780021481318807<46>
74245212859384533499130511571640221022744161560470888789902681085539724983414091954727558192751<95>

N=368563030429062272101151568021638750002195043166636755936259975719633929935857126176010505086171091769246583077398268936232179147128987368057
  ( 141 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=4964131911468770338152113114095780021481318807 (pp46)
 r2=74245212859384533499130511571640221022744161560470888789902681085539724983414091954727558192751 (pp95)
Version: Msieve v. 1.52 (SVN 927)
Total time: 14.05 hours.
Scaled time: 110.27 units (timescale=7.849).
Factorization parameters were as follows:
n: 368563030429062272101151568021638750002195043166636755936259975719633929935857126176010505086171091769246583077398268936232179147128987368057
m: 10000000000000000000000000000000
deg: 5
c5: 200
c0: 223
skew: 1.02
# Murphy_E = 6.145e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 609211 x 609457
Total sieving time: 13.92 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 14.05 hours.

GNFS, Msieve

3930562679700412512553234558293192461966892870548883425406764105315496439892852861351366754907798825940927573486782500348837437823411610489099567048520831<154>

37552565038473446548786214426137911815216123647985786781278923<62>
104668287656874110784003930878351444072758357202981319739445265440019278725003289776150551197<93>

N=3930562679700412512553234558293192461966892870548883425406764105315496439892852861351366754907798825940927573486782500348837437823411610489099567048520831
  ( 154 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=37552565038473446548786214426137911815216123647985786781278923 (pp62)
 r2=104668287656874110784003930878351444072758357202981319739445265440019278725003289776150551197 (pp93)
Version: Msieve v. 1.52 (SVN 927)
Total time: 15.17 hours.
Scaled time: 119.58 units (timescale=7.880).
Factorization parameters were as follows:
n: 3930562679700412512553234558293192461966892870548883425406764105315496439892852861351366754907798825940927573486782500348837437823411610489099567048520831
m: 100000000000000000000000000000000
deg: 5
c5: 1
c0: 1115
skew: 4.07
# Murphy_E = 5.673e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1600000, 2800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 638686 x 638911
Total sieving time: 15.05 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,51,51,2.4,2.4,100000
total time: 15.17 hours.

GNFS, Msieve

174296292295238262107480592711221251912289657437127289571749651885502045320511489493570370598276939949749466042846631805359689443717<132>

2977547637298636392183260442733929581210074881520437073<55>
58536861043596134786436734090897821718238290720807090705807097403716039498229<77>

CADO

STA:Fri 31 Dec 2021 03:57:08 AEDT (174,296,292,295,238,262,107,480,592,711,221,251,912,289,657,437,127,289,571,749,651,885,502,045,320,511,489,493,570,370,598,276,939,949,749,466,042,846,631,805,359,689,443,717 - C132)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 174296292295238262107480592711221251912289657437127289571749651885502045320511489493570370598276939949749466042846631805359689443717 2>&1 | tee -a log134

Debug:root: Looking for parameter file for c132 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.z8p0689n
Info:Database: Opened connection to database /tmp/cado.z8p0689n/c130.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1742962922952382621074805927112212519122896574371272895717496518855020453205114894935
70370598276939949749466042846631805359689443717
Debug:root: Root parameter dictionary:
N = 174296292295238262107480592711221251912289657437127289571749651885502045320511489493570370598276939949749466042846631805359689443717
lim0 = 11872741
lim1 = 45278470
lpb0 = 27
lpb1 = 28
name = c130
...
n: 174296292295238262107480592711221251912289657437127289571749651885502045320511489493570370598276939949749466042846631805359689443717
skew: 215089.134
c0: 29903304826112449933667227964020
c1: -246214915812273546591555341
c2: -3697561583858665735716
c3: 12071235616971047
c4: 35995283102
c5: 44520
Y0: -23899714817300966847135378
Y1: 122517929042240591
# MurphyE (Bf=4.53e+07,Bg=1.19e+07,area=6.08e+15) = 1.48e-09
# f(x) = 44520*x^5+35995283102*x^4+12071235616971047*x^3-3697561583858665735716*x^2-246214915812273546591555341*x+29903304826112449933667227964020
# g(x) = 122517929042240591*x-23899714817300966847135378
...
Info:Square Root: finished
Info:Square Root: Factors: 58536861043596134786436734090897821718238290720807090705807097403716039498229 2977547637298636392183260442733929581210074881520437073
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 2012.59/282.612
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): 38840/38.100/46.893/49.950/0.858
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 38840/37.210/42.281/47.720/1.222
Info:Polynomial Selection (size optimized): Total time: 5781.62
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2079.39
Info:Polynomial Selection (root optimized): Rootsieve time: 2078.45
Info:Generate Factor Base: Total cpu/real time for makefb: 59.58/5.3186
Info:Generate Free Relations: Total cpu/real time for freerel: 300.72/20.0732
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19119671
Info:Lattice Sieving: Average J: 7822.31 for 90640 special-q, max bucket fill: 0.652844
Info:Lattice Sieving: Total CPU time: 290793s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.45/71.2791
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 71.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 330.45/102.911
Info:Filtering - Singleton removal: Total cpu/real time for purge: 151.73/74.0444
Info:Filtering - Merging: Total cpu/real time for merge: 1107.53/955.249
Info:Filtering - Merging: Total cpu/real time for replay: 73.76/57.9646
Info:Linear Algebra: Total cpu/real time for bwc: 89039.5/0.000323057
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 3834.15
Info:Linear Algebra: Lingen CPU time 456.01, WCT time 44.22
Info:Linear Algebra: Mksol: WCT time 2148.31
Info:Quadratic Characters: Total cpu/real time for characters: 70.82/17.0333
Info:Square Root: Total cpu/real time for sqrt: 2012.59/282.612
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 391852/27528
Info:root: Cleaning up computation data in /tmp/cado.z8p0689n
58536861043596134786436734090897821718238290720807090705807097403716039498229 2977547637298636392183260442733929581210074881520437073

END:Fri 31 Dec 2021 11:35:57 AEDT (174,296,292,295,238,262,107,480,592,711,221,251,912,289,657,437,127,289,571,749,651,885,502,045,320,511,489,493,570,370,598,276,939,949,749,466,042,846,631,805,359,689,443,717 - C132)

5957200774107456754115948217714320450697873307348574385306193609296123869617208987038478501674037961283576946779393562662925293<127>

64038804335855356569007424715883067<35>
265097471290716186239532765334845591529<39>
350908135861225766951732043867164579782492115074505951<54>

N=5957200774107456754115948217714320450697873307348574385306193609296123869617208987038478501674037961283576946779393562662925293
  ( 127 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=64038804335855356569007424715883067 (pp35)
 r2=265097471290716186239532765334845591529 (pp39)
 r3=350908135861225766951732043867164579782492115074505951 (pp54)
Version: Msieve v. 1.52 (SVN 927)
Total time: 22.39 hours.
Scaled time: 175.88 units (timescale=7.855).
Factorization parameters were as follows:
n: 5957200774107456754115948217714320450697873307348574385306193609296123869617208987038478501674037961283576946779393562662925293
m: 1000000000000000000000000000000000
deg: 5
c5: 1
c0: 1115
skew: 4.07
# Murphy_E = 3.623e-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, 3750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 738528 x 738752
Total sieving time: 22.22 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: 22.39 hours.

GNFS, Msieve

10884176040663281687918020386061724162326601470452183093609356037724554156938934330323858658089935946624000696587266602450028026753304707950346388902494108939717991<164>

1948331445102507597400855037486824669814859240196259679409<58>
5586408856677171957218596321690738785262562171753160017584610494083288827128915465781745329308922398728599<106>

Number: n
N=10884176040663281687918020386061724162326601470452183093609356037724554156938934330323858658089935946624000696587266602450028026753304707950346388902494108939717991  ( 164 digits)
SNFS difficulty: 168 digits.
Divisors found:

Wed Jan  5 12:06:42 2022  p58 factor: 1948331445102507597400855037486824669814859240196259679409
Wed Jan  5 12:06:42 2022  p106 factor: 5586408856677171957218596321690738785262562171753160017584610494083288827128915465781745329308922398728599
Wed Jan  5 12:06:42 2022  elapsed time 00:11:53 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 2x10^168+223 = 4(166)94
#
n: 10884176040663281687918020386061724162326601470452183093609356037724554156938934330323858658089935946624000696587266602450028026753304707950346388902494108939717991
m: 1000000000000000000000000000000000
deg: 5
c5: 2000
c0: 223
skew: 0.64
# Murphy_E = 2.265e-10
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2540176 hash collisions in 19338049 relations (17477857 unique)
Msieve: matrix is 589030 x 589255 (199.7 MB)

Sieving start time : 2022/01/05 10:59:04
Sieving end time  : 2022/01/05 11:54:24

Total sieving time: 0hrs 55min 20secs.

Total relation processing time: 0hrs 5min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 21sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116212] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.153541] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798280)
[    0.152035] smpboot: Total of 16 processors activated (102386.24 BogoMIPS)

902660967806912514505197589552204787776959515610460811583378816162848704137657963976876895052077444880926155427476990833432738872413069573993218217882769885587271<162>

6159418650576842969208758749848908610159037<43>
3876903094054977546481794472151176016188964967083<49>
37800713212655763949922629898693025108584124810045809270646098406814201<71>

Number: n
N=902660967806912514505197589552204787776959515610460811583378816162848704137657963976876895052077444880926155427476990833432738872413069573993218217882769885587271  ( 162 digits)
SNFS difficulty: 170 digits.
Divisors found:

Wed Jan  5 17:25:18 2022  found factor: 6159418650576842969208758749848908610159037
Wed Jan  5 17:25:43 2022  p43 factor: 6159418650576842969208758749848908610159037
Wed Jan  5 17:25:43 2022  p49 factor: 3876903094054977546481794472151176016188964967083
Wed Jan  5 17:25:43 2022  p71 factor: 37800713212655763949922629898693025108584124810045809270646098406814201
Wed Jan  5 17:25:43 2022  elapsed time 00:11:19 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.296).
Factorization parameters were as follows:
#
# N = 2x10^169+223 = 4(167)94
#
n: 902660967806912514505197589552204787776959515610460811583378816162848704137657963976876895052077444880926155427476990833432738872413069573993218217882769885587271
m: 10000000000000000000000000000000000
deg: 5
c5: 1
c0: 1115
skew: 4.07
# Murphy_E = 2.302e-10
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2737323 hash collisions in 20240363 relations (18199761 unique)
Msieve: matrix is 607667 x 607892 (205.5 MB)

Sieving start time : 2022/01/05 16:21:33
Sieving end time  : 2022/01/05 17:14:01

Total sieving time: 0hrs 52min 28secs.

Total relation processing time: 0hrs 5min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 52sec.

Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

139927775868288860944846659543215274782906154651737203739039116481996151053854786195006839277371200089376174245977675896036834051075004624494657958140148049<156>

18338116271313071244303129149737540278575228533<47>
20509160859669196844420957553774681184381948241<47>
372050007583106109922930147639593600960786322345035299036512733<63>

Number: n
N=139927775868288860944846659543215274782906154651737203739039116481996151053854786195006839277371200089376174245977675896036834051075004624494657958140148049  ( 156 digits)
SNFS difficulty: 170 digits.
Divisors found:

Thu Jan  6 11:16:29 2022  found factor: 18338116271313071244303129149737540278575228533
Thu Jan  6 11:18:11 2022  p47 factor: 18338116271313071244303129149737540278575228533
Thu Jan  6 11:18:11 2022  p47 factor: 20509160859669196844420957553774681184381948241
Thu Jan  6 11:18:11 2022  p63 factor: 372050007583106109922930147639593600960786322345035299036512733
Thu Jan  6 11:18:11 2022  elapsed time 00:13:53 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 2x10^170+223 = 4(168)94
#
n: 139927775868288860944846659543215274782906154651737203739039116481996151053854786195006839277371200089376174245977675896036834051075004624494657958140148049
m: 10000000000000000000000000000000000
deg: 5
c5: 2
c0: 223
skew: 2.57
# Murphy_E = 2.367e-10
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2929893 hash collisions in 21070484 relations (18850437 unique)
Msieve: matrix is 611353 x 611578 (206.1 MB)

Sieving start time : 2022/01/06 09:53:05
Sieving end time  : 2022/01/06 11:03:52

Total sieving time: 1hrs 10min 47secs.

Total relation processing time: 0hrs 5min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 34sec.

Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

147149860728426337350192344243380513858985115361255123680464346302883573292304971934883511067018931818437018597128392278999164177737067331511<141>

47930411658525625274126834729630846063623588727135712440645148740903<68>
3070072958621294164093775118865273044230142880001816558202193643573162737<73>

Number: n
N=147149860728426337350192344243380513858985115361255123680464346302883573292304971934883511067018931818437018597128392278999164177737067331511  ( 141 digits)
SNFS difficulty: 171 digits.
Divisors found:

Fri Jan  7 15:47:48 2022  p68 factor: 47930411658525625274126834729630846063623588727135712440645148740903
Fri Jan  7 15:47:48 2022  p73 factor: 3070072958621294164093775118865273044230142880001816558202193643573162737
Fri Jan  7 15:47:48 2022  elapsed time 00:12:26 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.303).
Factorization parameters were as follows:
#
# N = 2x10^171+223 = 4(169)94
#
n: 147149860728426337350192344243380513858985115361255123680464346302883573292304971934883511067018931818437018597128392278999164177737067331511
m: 10000000000000000000000000000000000
deg: 5
c5: 20
c0: 223
skew: 1.62
# Murphy_E = 1.823e-10
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3085102 hash collisions in 20678714 relations (18226849 unique)
Msieve: matrix is 680576 x 680802 (228.0 MB)

Sieving start time : 2022/01/07 14:14:35
Sieving end time  : 2022/01/07 15:34:56

Total sieving time: 1hrs 20min 21secs.

Total relation processing time: 0hrs 6min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 4sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

4221769390423205972444099171369154536546228781807134212337760429294118553360364876313613038738519<97>

36280680494312997485916215938829893<35>
116364118117491456774836830632532798956603058511572084441851883<63>

prp63 = 116364118117491456774836830632532798956603058511572084441851883
prp35 = 36280680494312997485916215938829893

Yafu

127654944713805434628231757225286690160652212484613547032765781000462954549319729040317856465275129712330690465959382709005646117687754612291<141>

6453753458428280471130351488484729515005427<43>
19779953717800365768331720656934175500720614503741090107961499072303168049700544983833397022251633<98>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:125856401
Step 1 took 21656ms
Step 2 took 10656ms
********** Factor found in step 2: 6453753458428280471130351488484729515005427
Found prime factor of 43 digits: 6453753458428280471130351488484729515005427
Prime cofactor 19779953717800365768331720656934175500720614503741090107961499072303168049700544983833397022251633 has 98 digits
 

GMP-ECM

4026794208124979450765806662214240310742876887954914240256381155078267691654917991215186023496626080003823843780035480486447210006438642599081435892801986562547459544862323<172>

365067047686239532926350555316975614659505274847625519198137<60>
11030286720333760071640319916809309710312349788762361669880812159341789019898115702802283296084358357597875293579<113>

Number: n
N=4026794208124979450765806662214240310742876887954914240256381155078267691654917991215186023496626080003823843780035480486447210006438642599081435892801986562547459544862323  ( 172 digits)
SNFS difficulty: 180 digits.
Divisors found:

Sat Jan 15 11:28:32 2022  p60 factor: 365067047686239532926350555316975614659505274847625519198137
Sat Jan 15 11:28:32 2022  p113 factor: 11030286720333760071640319916809309710312349788762361669880812159341789019898115702802283296084358357597875293579
Sat Jan 15 11:28:32 2022  elapsed time 00:17:24 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.299).
Factorization parameters were as follows:
#
# N = 2x10^179+223 = 4(177)94
#
n: 4026794208124979450765806662214240310742876887954914240256381155078267691654917991215186023496626080003823843780035480486447210006438642599081435892801986562547459544862323
m: 1000000000000000000000000000000000000
deg: 5
c5: 1
c0: 1115
skew: 4.07
# Murphy_E = 9.167e-11
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3448601 hash collisions in 30770987 relations (29188212 unique)
Msieve: matrix is 801377 x 801604 (272.9 MB)

Sieving start time : 2022/01/15 06:18:55
Sieving end time  : 2022/01/15 11:09:44

Total sieving time: 4hrs 50min 49secs.

Total relation processing time: 0hrs 9min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 40sec.

Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119057] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221988K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505248K reserved, 0K cma-reserved)
[    0.152620] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.150211] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

46636890871545024833641460682138819767712258556486486311328343164828471277494102323347235466642389049<101>

717698093302816637270409299316969797<36>
64981210493292523192341802911171472707785101261621030671321532517<65>

prp36 = 717698093302816637270409299316969797
prp65 = 64981210493292523192341802911171472707785101261621030671321532517

Yafu

48028192752577013543897828598956794315142914240791188786135292554389810492190232351172584553446065765025734095786712521155092086056758341957253488036960002044133751<164>

3405666120492898208288203681520233042330766786170302995735841955304552458862767321<82>
14102437248201519969245392102588078398207093134401831268509646866343680819273690831<83>

48028192752577013543897828598956794315142914240791188786135292554389810492190232351172584553446065765025734095786712521155092086056758341957253488036960002044133751=3405666120492898208288203681520233042330766786170302995735841955304552458862767321*14102437248201519969245392102588078398207093134401831268509646866343680819273690831

cado polynomial
n: 48028192752577013543897828598956794315142914240791188786135292554389810492190232351172584553446065765025734095786712521155092086056758341957253488036960002044133751
skew: 1.02
type: snfs
c0: 223
c5: 200
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 200*x^5+223
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7600000
tasks.lim1 = 7600000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 14102437248201519969245392102588078398207093134401831268509646866343680819273690831 3405666120492898208288203681520233042330766786170302995735841955304552458862767321
Info:Square Root: Total cpu/real time for sqrt: 661.23/204.268
Info:Filtering - Singleton removal: Total cpu/real time for purge: 92.26/103.417
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22412980
Info:Lattice Sieving: Average J: 1894.47 for 1452781 special-q, max bucket fill -bkmult 1.0,1s:1.179580
Info:Lattice Sieving: Total time: 238362s
Info:Linear Algebra: Total cpu/real time for bwc: 33587.9/8612.61
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 21418.18, WCT time 5465.67, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (45056 iterations)
Info:Linear Algebra: Lingen CPU time 288.32, WCT time 73.21
Info:Linear Algebra: Mksol: CPU time 11630.97,  WCT time 2980.74, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (22528 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 117.17/32.2964
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.9/105.703
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 105.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 216.65/184.812
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 169.7s
Info:Filtering - Merging: Merged matrix has 1438453 rows and total weight 244870623 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 360.59/100.249
Info:Filtering - Merging: Total cpu/real time for replay: 52.61/44.9185
Info:Generate Factor Base: Total cpu/real time for makefb: 3.23/1.99566
Info:Quadratic Characters: Total cpu/real time for characters: 49.41/19.9625
Info:Square Root: Total cpu/real time for sqrt: 661.23/204.268
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 479407/129018
Info:root: Cleaning up computation data in /tmp/cado.t86y05ww
14102437248201519969245392102588078398207093134401831268509646866343680819273690831 3405666120492898208288203681520233042330766786170302995735841955304552458862767321

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)

3269633843527033546730722923849045266775220446096896495589321479506855971055448997490217484531039400060404723934659238251448427052771205598052544279163860033597466071<166>

1098787407400195975372284995330740754491585910349582049<55>
2975674658725116353915069670229916789503852661191963397713297294192512624807085808794161179948515475657665405879<112>

3269633843527033546730722923849045266775220446096896495589321479506855971055448997490217484531039400060404723934659238251448427052771205598052544279163860033597466071=1098787407400195975372284995330740754491585910349582049*2975674658725116353915069670229916789503852661191963397713297294192512624807085808794161179948515475657665405879

cado polynomial
n: 3269633843527033546730722923849045266775220446096896495589321479506855971055448997490217484531039400060404723934659238251448427052771205598052544279163860033597466071
skew: 0.64
type: snfs
c0: 223
c5: 2000
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 2000*x^5+223
# g(x) = -x+1000000000000000000000000000000000000


cado parameters (extracts)
tasks.lim0 = 7900000
tasks.lim1 = 7900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2975674658725116353915069670229916789503852661191963397713297294192512624807085808794161179948515475657665405879 1098787407400195975372284995330740754491585910349582049
Info:Square Root: Total cpu/real time for sqrt: 372.34/117.251
Info:Filtering - Singleton removal: Total cpu/real time for purge: 96.5/106.217
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22413811
Info:Lattice Sieving: Average J: 1895.35 for 1387927 special-q, max bucket fill -bkmult 1.0,1s:1.170780
Info:Lattice Sieving: Total time: 234026s
Info:Linear Algebra: Total cpu/real time for bwc: 30350.9/7782.84
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 19358.82, WCT time 4948.64, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (43008 iterations)
Info:Linear Algebra: Lingen CPU time 263.27, WCT time 66.84
Info:Linear Algebra: Mksol: CPU time 10488.07,  WCT time 2676.64, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (21504 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 119.13/32.3565
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 92.04/105.387
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 105.3s
Info:Filtering - Merging: Merged matrix has 1370715 rows and total weight 234400488 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 343.23/95.3825
Info:Filtering - Merging: Total cpu/real time for replay: 49.7/42.9538
Info:Generate Factor Base: Total cpu/real time for makefb: 3.37/1.83757
Info:Quadratic Characters: Total cpu/real time for characters: 46.63/18.974
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 216.87/186.407
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 170.8s
Info:Square Root: Total cpu/real time for sqrt: 372.34/117.251
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 467999/125959
Info:root: Cleaning up computation data in /tmp/cado.pfgj3ugd
2975674658725116353915069670229916789503852661191963397713297294192512624807085808794161179948515475657665405879 1098787407400195975372284995330740754491585910349582049

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)

3921584397386947638077120335203217875212561040037442067467500929123557189260530988331389857255882266802287130437764287360061558408728433420823323<145>

207004453915277638887443396065306018959365505688506757<54>
18944444543168939300891958758765234001435906359682192702231973966707562582540856484822801439<92>

3921584397386947638077120335203217875212561040037442067467500929123557189260530988331389857255882266802287130437764287360061558408728433420823323=207004453915277638887443396065306018959365505688506757*18944444543168939300891958758765234001435906359682192702231973966707562582540856484822801439

cado polynomial
n: 3921584397386947638077120335203217875212561040037442067467500929123557189260530988331389857255882266802287130437764287360061558408728433420823323
skew: 4.07
type: snfs
c0: 1115
c5: 1
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = x^5+1115
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8500000
tasks.lim1 = 8500000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 207004453915277638887443396065306018959365505688506757 18944444543168939300891958758765234001435906359682192702231973966707562582540856484822801439
Info:Square Root: Total cpu/real time for sqrt: 362.59/117.501
Info:Filtering - Singleton removal: Total cpu/real time for purge: 199.41/235.918
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23185181
Info:Lattice Sieving: Average J: 1893.83 for 1261643 special-q, max bucket fill -bkmult 1.0,1s:1.165700
Info:Lattice Sieving: Total time: 223712s
Info:Generate Free Relations: Total cpu/real time for freerel: 117.48/31.9962
Info:Linear Algebra: Total cpu/real time for bwc: 41748.7/10745.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 26662.36, WCT time 6825.46, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (49920 iterations)
Info:Linear Algebra: Lingen CPU time 322.57, WCT time 81.97
Info:Linear Algebra: Mksol: CPU time 14474.41,  WCT time 3725.41, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (25088 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 93.89/108.044
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 107.7s
Info:Filtering - Merging: Merged matrix has 1595688 rows and total weight 273134897 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 411.73/114.757
Info:Filtering - Merging: Total cpu/real time for replay: 61.25/52.0696
Info:Generate Factor Base: Total cpu/real time for makefb: 3.52/1.918
Info:Quadratic Characters: Total cpu/real time for characters: 58.22/23.3592
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 318.5/305.558
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 253.40000000000003s
Info:Square Root: Total cpu/real time for sqrt: 362.59/117.501
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 460708/123506
Info:root: Cleaning up computation data in /tmp/cado.rc6hq5fr
207004453915277638887443396065306018959365505688506757 18944444543168939300891958758765234001435906359682192702231973966707562582540856484822801439

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)

2684411916662609518560096339608822157794423240201449366722978549562203583960531810597310599571057859654360720618254115691459009200893814399647960949836419220922021557<166>

15382376536802147709724104848894255983<38>
174512170485502473769776662793879082739740240839369924747740606942795809816691709282208922190827912039551446536188806313207588379<129>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2995340249
Step 1 took 7063ms
Step 2 took 3734ms
********** Factor found in step 2: 15382376536802147709724104848894255983
Found prime factor of 38 digits: 15382376536802147709724104848894255983
Prime cofactor 174512170485502473769776662793879082739740240839369924747740606942795809816691709282208922190827912039551446536188806313207588379 has 129 digits
 

GMP-ECM

209192521158125592601766736874506531399375493050057382322150633450957208959321940187169682181207880778375898118047239589114100121400489<135>

51260467068778780942254004990244786495699259493<47>
4080971811619299651306131265886936535339991410366651945110402600388160443611398665827573<88>

209192521158125592601766736874506531399375493050057382322150633450957208959321940187169682181207880778375898118047239589114100121400489=51260467068778780942254004990244786495699259493*4080971811619299651306131265886936535339991410366651945110402600388160443611398665827573

cado polynomial
n: 209192521158125592601766736874506531399375493050057382322150633450957208959321940187169682181207880778375898118047239589114100121400489
skew: 1.62
type: snfs
c0: 223
c5: 20
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 20*x^5+223
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8900000
tasks.lim1 = 8900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 51260467068778780942254004990244786495699259493 4080971811619299651306131265886936535339991410366651945110402600388160443611398665827573
Info:Square Root: Total cpu/real time for sqrt: 480.5/153.49
Info:Square Root: Total cpu/real time for sqrt: 480.5/153.49
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 100.36/118.662
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 118.0s
Info:Generate Free Relations: Total cpu/real time for freerel: 117.44/32.2139
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 396.87/390.739
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 316.4s
Info:Linear Algebra: Total cpu/real time for bwc: 58188.8/14919.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 37266.54, WCT time 9510.04, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (58368 iterations)
Info:Linear Algebra: Lingen CPU time 374.24, WCT time 95.07
Info:Linear Algebra: Mksol: CPU time 20196.33,  WCT time 5175.03, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29184 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.77/2.17086
Info:Filtering - Merging: Merged matrix has 1865916 rows and total weight 319778201 (171.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 494.45/137.149
Info:Filtering - Merging: Total cpu/real time for replay: 72.47/61.6443
Info:Filtering - Singleton removal: Total cpu/real time for purge: 280.32/332.649
Info:Quadratic Characters: Total cpu/real time for characters: 66.99/28.3176
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24597328
Info:Lattice Sieving: Average J: 1894.09 for 1809965 special-q, max bucket fill -bkmult 1.0,1s:1.145250
Info:Lattice Sieving: Total time: 320642s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 658210/141148
51260467068778780942254004990244786495699259493 4080971811619299651306131265886936535339991410366651945110402600388160443611398665827573

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)

32018868594625730757555864810918174422873108594792278531449438788137252347023377846399777696576884618775896677594560732100424320993863935709770641<146>

197851737157162298328282266850579033545145843061134735516953<60>
161832638190038945147496977328058676527701695086153830060104149524299879210325990365497<87>

32018868594625730757555864810918174422873108594792278531449438788137252347023377846399777696576884618775896677594560732100424320993863935709770641=197851737157162298328282266850579033545145843061134735516953*161832638190038945147496977328058676527701695086153830060104149524299879210325990365497

cado polynomial
n: 32018868594625730757555864810918174422873108594792278531449438788137252347023377846399777696576884618775896677594560732100424320993863935709770641
skew: 1.02
type: snfs
c0: 223
c5: 200
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 200*x^5+223
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9300000
tasks.lim1 = 9300000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 197851737157162298328282266850579033545145843061134735516953 161832638190038945147496977328058676527701695086153830060104149524299879210325990365497
Info:Square Root: Total cpu/real time for sqrt: 532.72/170.019
Info:Square Root: Total cpu/real time for sqrt: 532.72/170.019
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 105.02/121.502
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 120.89999999999999s
Info:Generate Free Relations: Total cpu/real time for freerel: 118.91/32.1185
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 437.94/439.008
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 354.7s
Info:Linear Algebra: Total cpu/real time for bwc: 62111/15955.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 39797.96, WCT time 10182.06, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (60416 iterations)
Info:Linear Algebra: Lingen CPU time 386.16, WCT time 98.2
Info:Linear Algebra: Mksol: CPU time 21562.51,  WCT time 5525.69, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (30208 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.96/2.20833
Info:Filtering - Merging: Merged matrix has 1931539 rows and total weight 328463500 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 503.94/139.751
Info:Filtering - Merging: Total cpu/real time for replay: 73.27/62.6111
Info:Filtering - Singleton removal: Total cpu/real time for purge: 325.94/384.331
Info:Quadratic Characters: Total cpu/real time for characters: 67.64/28.4534
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25354936
Info:Lattice Sieving: Average J: 1894.53 for 2085121 special-q, max bucket fill -bkmult 1.0,1s:1.153910
Info:Lattice Sieving: Total time: 375775s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 766379/169843
197851737157162298328282266850579033545145843061134735516953 161832638190038945147496977328058676527701695086153830060104149524299879210325990365497

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)

340179924152673024007537196756630537102319051298565465764037802937604631753284564254647460116399888012050825323672477593624311062182798357898291<144>

49774462961897835014453523543965464165360226442335705429687<59>
6834426810653476702073072592774848584193181050161640512446178211384587868048541000293<85>

01/31/22 18:41:03, 
01/31/22 18:41:03, ****************************
01/31/22 18:41:03, Starting factorization of 444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444494
01/31/22 18:41:03, using pretesting plan: normal
01/31/22 18:41:03, using specified qs/gnfs crossover of 100 digits
01/31/22 18:41:03, using specified qs/snfs crossover of 75 digits
01/31/22 18:41:03, ****************************
01/31/22 18:41:03, div: found prime factor = 2
01/31/22 18:41:03, div: found prime factor = 13
01/31/22 18:41:03, div: found prime factor = 23
01/31/22 18:41:03, div: found prime factor = 173
01/31/22 18:41:03, div: found prime factor = 179
01/31/22 18:41:03, rho: x^2 + 3, starting 1000 iterations on C182
01/31/22 18:41:03, prp8 = 51349063
01/31/22 18:41:03, rho: x^2 + 3, starting 1000 iterations on C174
01/31/22 18:41:03, prp9 = 204180143
01/31/22 18:41:03, rho: x^2 + 3, starting 1000 iterations on C166
01/31/22 18:41:03, prp11 = 21104159779
01/31/22 18:41:03, rho: x^2 + 3, starting 1000 iterations on C156
01/31/22 18:41:03, rho: x^2 + 2, starting 1000 iterations on C156
01/31/22 18:41:03, prp12 = 318855851059
01/31/22 18:41:03, rho: x^2 + 2, starting 1000 iterations on C144
01/31/22 18:41:04, rho: x^2 + 1, starting 1000 iterations on C144
01/31/22 18:41:04, nfs: input divides 10^191 + 11150
01/31/22 18:41:04, nfs: using supplied cofactor: 340179924152673024007537196756630537102319051298565465764037802937604631753284564254647460116399888012050825323672477593624311062182798357898291
01/31/22 18:41:04, nfs: input divides 10^191 + 11150
01/31/22 18:41:04, nfs: using supplied cofactor: 340179924152673024007537196756630537102319051298565465764037802937604631753284564254647460116399888012050825323672477593624311062182798357898291
01/31/22 18:41:04, nfs: commencing snfs on c144: 340179924152673024007537196756630537102319051298565465764037802937604631753284564254647460116399888012050825323672477593624311062182798357898291
01/31/22 18:41:04, pm1: starting B1 = 150K, B2 = gmp-ecm default on C144
01/31/22 18:41:04, nfs: input divides 10^191 + 11150
01/31/22 18:41:04, nfs: using supplied cofactor: 340179924152673024007537196756630537102319051298565465764037802937604631753284564254647460116399888012050825323672477593624311062182798357898291
01/31/22 18:41:04, nfs: commencing snfs on c144: 340179924152673024007537196756630537102319051298565465764037802937604631753284564254647460116399888012050825323672477593624311062182798357898291
01/31/22 18:41:04, current ECM pretesting depth: 0.00
01/31/22 18:41:04, scheduled 30 curves at B1=2000 toward target pretesting depth of 34.46
01/31/22 18:41:04, ecm: commencing 48 curves using AVX-ECM method on 340179924152673024007537196756630537102319051298565465764037802937604631753284564254647460116399888012050825323672477593624311062182798357898291, B1=2k, B2=200k
01/31/22 18:41:04, ecm: finished 384 curves using AVX-ECM method on C144 input, B1=2k, B2=200k
01/31/22 18:41:04, nfs: input divides 10^191 + 11150
01/31/22 18:41:04, nfs: using supplied cofactor: 340179924152673024007537196756630537102319051298565465764037802937604631753284564254647460116399888012050825323672477593624311062182798357898291
01/31/22 18:41:04, nfs: commencing snfs on c144: 340179924152673024007537196756630537102319051298565465764037802937604631753284564254647460116399888012050825323672477593624311062182798357898291
01/31/22 18:41:04, current ECM pretesting depth: 17.27
01/31/22 18:41:04, scheduled 74 curves at B1=11000 toward target pretesting depth of 34.46
01/31/22 18:41:04, ecm: commencing 96 curves using AVX-ECM method on 340179924152673024007537196756630537102319051298565465764037802937604631753284564254647460116399888012050825323672477593624311062182798357898291, B1=11k, B2=1100k
01/31/22 18:41:05, ecm: finished 384 curves using AVX-ECM method on C144 input, B1=11k, B2=1100k
01/31/22 18:41:05, nfs: input divides 10^191 + 11150
01/31/22 18:41:05, nfs: using supplied cofactor: 340179924152673024007537196756630537102319051298565465764037802937604631753284564254647460116399888012050825323672477593624311062182798357898291
01/31/22 18:41:05, nfs: commencing snfs on c144: 340179924152673024007537196756630537102319051298565465764037802937604631753284564254647460116399888012050825323672477593624311062182798357898291
01/31/22 18:41:05, current ECM pretesting depth: 21.28
01/31/22 18:41:05, scheduled 214 curves at B1=50000 toward target pretesting depth of 34.46
01/31/22 18:41:05, ecm: commencing 240 curves using AVX-ECM method on 340179924152673024007537196756630537102319051298565465764037802937604631753284564254647460116399888012050825323672477593624311062182798357898291, B1=50k, B2=5M
01/31/22 18:41:06, ecm: finished 384 curves using AVX-ECM method on C144 input, B1=50k, B2=5M
01/31/22 18:41:06, nfs: input divides 10^191 + 11150
01/31/22 18:41:06, nfs: using supplied cofactor: 340179924152673024007537196756630537102319051298565465764037802937604631753284564254647460116399888012050825323672477593624311062182798357898291
01/31/22 18:41:06, nfs: commencing snfs on c144: 340179924152673024007537196756630537102319051298565465764037802937604631753284564254647460116399888012050825323672477593624311062182798357898291
01/31/22 18:41:06, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C144
01/31/22 18:41:07, nfs: input divides 10^191 + 11150
01/31/22 18:41:07, nfs: using supplied cofactor: 340179924152673024007537196756630537102319051298565465764037802937604631753284564254647460116399888012050825323672477593624311062182798357898291
01/31/22 18:41:07, nfs: commencing snfs on c144: 340179924152673024007537196756630537102319051298565465764037802937604631753284564254647460116399888012050825323672477593624311062182798357898291
01/31/22 18:41:07, current ECM pretesting depth: 25.62
01/31/22 18:41:07, scheduled 430 curves at B1=250000 toward target pretesting depth of 34.46
01/31/22 18:41:08, ecm: commencing 432 curves using AVX-ECM method on 340179924152673024007537196756630537102319051298565465764037802937604631753284564254647460116399888012050825323672477593624311062182798357898291, B1=250k, B2=25M
01/31/22 18:41:15, ecm: finished 768 curves using AVX-ECM method on C144 input, B1=250k, B2=25M
01/31/22 18:41:16, nfs: input divides 10^191 + 11150
01/31/22 18:41:16, nfs: using supplied cofactor: 340179924152673024007537196756630537102319051298565465764037802937604631753284564254647460116399888012050825323672477593624311062182798357898291
01/31/22 18:41:16, nfs: commencing snfs on c144: 340179924152673024007537196756630537102319051298565465764037802937604631753284564254647460116399888012050825323672477593624311062182798357898291
01/31/22 18:41:16, pm1: starting B1 = 15M, B2 = gmp-ecm default on C144
01/31/22 18:41:19, nfs: input divides 10^191 + 11150
01/31/22 18:41:19, nfs: using supplied cofactor: 340179924152673024007537196756630537102319051298565465764037802937604631753284564254647460116399888012050825323672477593624311062182798357898291
01/31/22 18:41:19, nfs: commencing snfs on c144: 340179924152673024007537196756630537102319051298565465764037802937604631753284564254647460116399888012050825323672477593624311062182798357898291
01/31/22 18:41:19, current ECM pretesting depth: 30.81
01/31/22 18:41:19, scheduled 661 curves at B1=1000000 toward target pretesting depth of 34.46
01/31/22 18:41:21, ecm: commencing 672 curves using AVX-ECM method on 340179924152673024007537196756630537102319051298565465764037802937604631753284564254647460116399888012050825323672477593624311062182798357898291, B1=1M, B2=100M
01/31/22 18:41:48, ecm: finished 768 curves using AVX-ECM method on C144 input, B1=1M, B2=100M
01/31/22 18:41:48, nfs: input divides 10^191 + 11150
01/31/22 18:41:48, nfs: using supplied cofactor: 340179924152673024007537196756630537102319051298565465764037802937604631753284564254647460116399888012050825323672477593624311062182798357898291
01/31/22 18:41:48, nfs: commencing snfs on c144: 340179924152673024007537196756630537102319051298565465764037802937604631753284564254647460116399888012050825323672477593624311062182798357898291
01/31/22 18:41:48, final ECM pretested depth: 35.50
01/31/22 18:41:48, scheduler: switching to sieve method
01/31/22 18:41:48, nfs: commencing nfs on c144: 340179924152673024007537196756630537102319051298565465764037802937604631753284564254647460116399888012050825323672477593624311062182798357898291
01/31/22 18:41:48, nfs: input divides 10^191 + 11150
01/31/22 18:41:48, nfs: using supplied cofactor: 340179924152673024007537196756630537102319051298565465764037802937604631753284564254647460116399888012050825323672477593624311062182798357898291
01/31/22 18:41:48, nfs: commencing snfs on c144: 340179924152673024007537196756630537102319051298565465764037802937604631753284564254647460116399888012050825323672477593624311062182798357898291
01/31/22 18:41:50, test: fb generation took 1.4117 seconds
01/31/22 18:41:50, test: commencing test sieving of polynomial 0 on the rational side over range 12500000-12501000
skew: 5.4927
c5: 1
c0: 1115
Y1: -1
Y0: 100000000000000000000000000000000000000
rlim: 12500000
alim: 12500000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/31/22 18:42:55, nfs: parsing special-q from .dat file
01/31/22 18:42:55, test: new best estimated total sieving time = 2h 20m 22s (with 48 threads)
01/31/22 18:42:56, test: fb generation took 1.4593 seconds
01/31/22 18:42:56, test: commencing test sieving of polynomial 1 on the rational side over range 13000000-13001000
skew: 10.9041
c5: 1
c0: 35680
Y1: -1
Y0: 200000000000000000000000000000000000000
rlim: 13000000
alim: 13000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/31/22 18:44:14, nfs: parsing special-q from .dat file
01/31/22 18:44:14, test: estimated total sieving time = 2h 28m 32s (with 48 threads)
01/31/22 18:44:17, test: fb generation took 2.2955 seconds
01/31/22 18:44:17, test: commencing test sieving of polynomial 2 on the algebraic side over range 12500000-12501000
skew: 0.8741
c6: 2000
c0: 223
Y1: -1
Y0: 10000000000000000000000000000000
rlim: 12500000
alim: 12500000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/31/22 18:45:38, nfs: parsing special-q from .dat file
01/31/22 18:45:38, test: estimated total sieving time = 2h 35m 18s (with 48 threads)
01/31/22 18:45:38, nfs: commencing lattice sieving with 48 threads
01/31/22 18:48:16, nfs: commencing lattice sieving with 48 threads
01/31/22 18:50:45, nfs: commencing lattice sieving with 48 threads
01/31/22 18:53:20, nfs: commencing lattice sieving with 48 threads
01/31/22 18:55:58, nfs: commencing lattice sieving with 48 threads
01/31/22 18:58:37, nfs: commencing lattice sieving with 48 threads
01/31/22 19:01:11, nfs: commencing lattice sieving with 48 threads
01/31/22 19:03:49, nfs: commencing lattice sieving with 48 threads
01/31/22 19:06:28, nfs: commencing lattice sieving with 48 threads
01/31/22 19:09:11, nfs: commencing lattice sieving with 48 threads
01/31/22 19:11:45, nfs: commencing lattice sieving with 48 threads
01/31/22 19:14:22, nfs: commencing lattice sieving with 48 threads
01/31/22 19:16:57, nfs: commencing lattice sieving with 48 threads
01/31/22 19:19:29, nfs: commencing lattice sieving with 48 threads
01/31/22 19:22:12, nfs: commencing lattice sieving with 48 threads
01/31/22 19:24:51, nfs: commencing lattice sieving with 48 threads
01/31/22 19:27:28, nfs: commencing lattice sieving with 48 threads
01/31/22 19:30:10, nfs: commencing lattice sieving with 48 threads
01/31/22 19:32:47, nfs: commencing lattice sieving with 48 threads
01/31/22 19:35:31, nfs: commencing lattice sieving with 48 threads
01/31/22 19:38:14, nfs: commencing lattice sieving with 48 threads
01/31/22 19:40:51, nfs: commencing lattice sieving with 48 threads
01/31/22 19:43:29, nfs: commencing lattice sieving with 48 threads
01/31/22 19:46:18, nfs: commencing lattice sieving with 48 threads
01/31/22 19:49:07, nfs: commencing lattice sieving with 48 threads
01/31/22 19:51:52, nfs: commencing lattice sieving with 48 threads
01/31/22 19:54:38, nfs: commencing lattice sieving with 48 threads
01/31/22 19:57:22, nfs: commencing lattice sieving with 48 threads
01/31/22 20:00:01, nfs: commencing lattice sieving with 48 threads
01/31/22 20:02:42, nfs: commencing lattice sieving with 48 threads
01/31/22 20:05:22, nfs: commencing lattice sieving with 48 threads
01/31/22 20:08:03, nfs: commencing lattice sieving with 48 threads
01/31/22 20:10:44, nfs: commencing lattice sieving with 48 threads
01/31/22 20:13:33, nfs: commencing lattice sieving with 48 threads
01/31/22 20:16:15, nfs: commencing lattice sieving with 48 threads
01/31/22 20:18:55, nfs: commencing lattice sieving with 48 threads
01/31/22 20:21:37, nfs: commencing lattice sieving with 48 threads
01/31/22 20:24:19, nfs: commencing lattice sieving with 48 threads
01/31/22 20:26:59, nfs: commencing lattice sieving with 48 threads
01/31/22 20:29:42, nfs: commencing lattice sieving with 48 threads
01/31/22 20:32:21, nfs: commencing lattice sieving with 48 threads
01/31/22 20:35:05, nfs: commencing lattice sieving with 48 threads
01/31/22 20:37:44, nfs: commencing lattice sieving with 48 threads
01/31/22 20:40:25, nfs: commencing lattice sieving with 48 threads
01/31/22 20:43:01, nfs: commencing lattice sieving with 48 threads
01/31/22 20:45:42, nfs: commencing lattice sieving with 48 threads
01/31/22 20:48:20, nfs: commencing lattice sieving with 48 threads
01/31/22 20:51:02, nfs: commencing lattice sieving with 48 threads
01/31/22 20:53:42, nfs: commencing msieve filtering
01/31/22 20:55:39, nfs: raising min_rels by 5.00 percent to 10565920
01/31/22 20:55:39, nfs: commencing lattice sieving with 48 threads
01/31/22 20:58:23, nfs: commencing lattice sieving with 48 threads
01/31/22 21:01:09, nfs: commencing lattice sieving with 48 threads
01/31/22 21:03:53, nfs: commencing msieve filtering
01/31/22 21:05:56, nfs: raising min_rels by 5.00 percent to 11202013
01/31/22 21:05:56, nfs: commencing lattice sieving with 48 threads
01/31/22 21:08:37, nfs: commencing lattice sieving with 48 threads
01/31/22 21:11:27, nfs: commencing lattice sieving with 48 threads
01/31/22 21:14:10, nfs: commencing msieve filtering
01/31/22 21:16:20, nfs: raising min_rels by 5.00 percent to 11839081
01/31/22 21:16:20, nfs: commencing lattice sieving with 48 threads
01/31/22 21:19:00, nfs: commencing lattice sieving with 48 threads
01/31/22 21:21:45, nfs: commencing lattice sieving with 48 threads
01/31/22 21:24:28, nfs: commencing msieve filtering
01/31/22 21:26:43, nfs: raising min_rels by 5.00 percent to 12468473
01/31/22 21:26:43, nfs: commencing lattice sieving with 48 threads
01/31/22 21:29:25, nfs: commencing lattice sieving with 48 threads
01/31/22 21:32:06, nfs: commencing lattice sieving with 48 threads
01/31/22 21:34:51, nfs: commencing msieve filtering
01/31/22 21:37:13, nfs: raising min_rels by 5.00 percent to 13094847
01/31/22 21:37:13, nfs: commencing lattice sieving with 48 threads
01/31/22 21:40:00, nfs: commencing lattice sieving with 48 threads
01/31/22 21:42:44, nfs: commencing lattice sieving with 48 threads
01/31/22 21:45:25, nfs: commencing lattice sieving with 48 threads
01/31/22 21:48:09, nfs: commencing msieve filtering
01/31/22 21:51:56, nfs: commencing msieve linear algebra
01/31/22 22:10:42, nfs: commencing msieve sqrt
01/31/22 22:11:56, prp85 = 6834426810653476702073072592774848584193181050161640512446178211384587868048541000293
01/31/22 22:11:56, prp59 = 49774462961897835014453523543965464165360226442335705429687
01/31/22 22:11:57, NFS elapsed time = 12608.1721 seconds.
01/31/22 22:11:57, 
01/31/22 22:11:57, 
01/31/22 22:11:57, Total factoring time = 12653.4625 seconds

YAFU Version 2.07
Built with GCC 9
Using GMP-ECM 7.0.5-dev, Powered by GMP 6.2.1
Detected Intel(R) Xeon(R) Gold 6248R CPU @ 3.00GHz
Detected L1 = 32768 bytes, L2 = 37486592 bytes, CL = 64 bytes
Using 1 random witness for Rabin-Miller PRP checks
Cached 664579 primes; max prime is 9999991

Ubuntu 20.04.3 LTS

11448092779834745616452049737832885468860923960652540379472013781258964888763725287793966438199832325818198655453866766697720173564468236136455249504950653395897162664748774094192908441<185>

77017469967157342116963130191299833930903346387663<50>
361276123821211797512829673823039771589605506090313399331287<60>
411438219488521247854071555334199137540214190863559971769258003859932775361<75>

Number: n
N=11448092779834745616452049737832885468860923960652540379472013781258964888763725287793966438199832325818198655453866766697720173564468236136455249504950653395897162664748774094192908441  ( 185 digits)
SNFS difficulty: 195 digits.
Divisors found:

Thu Jan 13 20:22:50 2022  found factor: 361276123821211797512829673823039771589605506090313399331287
Thu Jan 13 20:27:38 2022  p50 factor: 77017469967157342116963130191299833930903346387663
Thu Jan 13 20:27:38 2022  p60 factor: 361276123821211797512829673823039771589605506090313399331287
Thu Jan 13 20:27:38 2022  p75 factor: 411438219488521247854071555334199137540214190863559971769258003859932775361
Thu Jan 13 20:27:38 2022  elapsed time 01:01:04 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 2x10^194+223 = 4(192)94
#
n: 11448092779834745616452049737832885468860923960652540379472013781258964888763725287793966438199832325818198655453866766697720173564468236136455249504950653395897162664748774094192908441
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1
c0: 1115
skew: 4.07
# Murphy_E = 2.229e-11
type: snfs
lss: 1
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26256431)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3709438 hash collisions in 30120609 relations (28118647 unique)
Msieve: matrix is 1548874 x 1549099 (539.7 MB)

Sieving start time : 2022/01/13 10:26:57
Sieving end time  : 2022/01/13 19:26:01

Total sieving time: 8hrs 59min 4secs.

Total relation processing time: 0hrs 46min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 26sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12400000,12400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119057] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221988K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505248K reserved, 0K cma-reserved)
[    0.152620] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.150211] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

7016899855966552571524163657723526055189383899246832984524995718199996641010038948811284011382857047748077380841927430541050307884549697661607948494355204038343751026331242995357790969339<187>

4354099073655740714311794021902834269633<40>
1611561826514687087426272551445443355163342676448172801760739334991834181363563589107457352149941502591367879733958542830314962163552001165318570683<148>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:704734605
Step 1 took 8391ms
Step 2 took 4219ms
********** Factor found in step 2: 4354099073655740714311794021902834269633
Found prime factor of 40 digits: 4354099073655740714311794021902834269633
Prime cofactor 1611561826514687087426272551445443355163342676448172801760739334991834181363563589107457352149941502591367879733958542830314962163552001165318570683 has 148 digits
 

GMP-ECM

23696300357111007681454947113167799184231289586368061006003403593893660389320405793049924249310716563672966084858690999594252700774666782315349889991905292779060160274951489<173>

1231066073980064327369609382600621732197896931275098197463399080917<67>
19248601564090167186939694261035440003268927295395768641546268270313604871057231552435900934976364341302717<107>

Number: n
N=23696300357111007681454947113167799184231289586368061006003403593893660389320405793049924249310716563672966084858690999594252700774666782315349889991905292779060160274951489  ( 173 digits)
SNFS difficulty: 196 digits.
Divisors found:

Tue Jan 25 09:07:49 2022  p67 factor: 1231066073980064327369609382600621732197896931275098197463399080917
Tue Jan 25 09:07:49 2022  p107 factor: 19248601564090167186939694261035440003268927295395768641546268270313604871057231552435900934976364341302717
Tue Jan 25 09:07:49 2022  elapsed time 01:09:18 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 2x10^196+223 = 4(194)94
#
n: 23696300357111007681454947113167799184231289586368061006003403593893660389320405793049924249310716563672966084858690999594252700774666782315349889991905292779060160274951489
m: 1000000000000000000000000000000000000000
deg: 5
c5: 20
c0: 223
skew: 1.62
# Murphy_E = 1.757e-11
type: snfs
lss: 1
rlim: 13100000
alim: 13100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13100000/13100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4494808 hash collisions in 31453304 relations (28566632 unique)
Msieve: matrix is 1673572 x 1673797 (580.9 MB)

Sieving start time : 2022/01/25 00:57:20
Sieving end time  : 2022/01/25 07:57:56

Total sieving time: 7hrs 0min 36secs.

Total relation processing time: 0hrs 55min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 55sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13100000,13100000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119028] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153529] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.152048] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

441174472271725361535834227603795554345004665558380258904801188962524561371759421616740080769845839139831768666570068375231833<126>

1553044092172615862623854529541924561055092921<46>
284070796505557445532449176750172694362336989730169552974376439406715952871776673<81>

CADO

STA:Sat 01 Jan 2022 03:36:46 AEDT (441,174,472,271,725,361,535,834,227,603,795,554,345,004,665,558,380,258,904,801,188,962,524,561,371,759,421,616,740,080,769,845,839,139,831,768,666,570,068,375,231,833 - C126)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 441174472271725361535834227603795554345004665558380258904801188962524561371759421616740080769845839139831768666570068375231833 2>&1 | tee -a log140

Debug:root: Looking for parameter file for c126 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado._y6p_mal
Info:Database: Opened connection to database /tmp/cado._y6p_mal/c125.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 4411744722717253615358342276037955543450046655583802589048011889625245613717594216167
40080769845839139831768666570068375231833
Debug:root: Root parameter dictionary:
N = 441174472271725361535834227603795554345004665558380258904801188962524561371759421616740080769845839139831768666570068375231833
lim0 = 2377918
lim1 = 9209388
lpb0 = 27
lpb1 = 27
name = c125
...
n: 441174472271725361535834227603795554345004665558380258904801188962524561371759421616740080769845839139831768666570068375231833
skew: 27168.313
c0: 6885477451780597108342651113
c1: 464983710705036351367919
c2: -68355032043539580180
c3: 1046821819383121
c4: 55468440207
c5: 377820
Y0: -1281425708419713793067398
Y1: 120792680594244049
# MurphyE (Bf=9.21e+06,Bg=2.38e+06,area=3.09e+14) = 4.91e-10
# f(x) = 377820*x^5+55468440207*x^4+1046821819383121*x^3-68355032043539580180*x^2+464983710705036351367919*x+6885477451780597108342651113
# g(x) = 120792680594244049*x-1281425708419713793067398
...
Info:Square Root: finished
Info:Square Root: Factors: 284070796505557445532449176750172694362336989730169552974376439406715952871776673 1553044092172615862623854529541924561055092921
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 718.52/100.139
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21528.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21937/37.140/44.765/49.450/0.834
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 21937/36.560/40.543/45.570/1.387
Info:Polynomial Selection (size optimized): Total time: 1765.22
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1115.55
Info:Polynomial Selection (root optimized): Rootsieve time: 1114.67
Info:Generate Factor Base: Total cpu/real time for makefb: 11.81/1.1186
Info:Generate Free Relations: Total cpu/real time for freerel: 149.77/10.0346
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13056462
Info:Lattice Sieving: Average J: 3801.09 for 264996 special-q, max bucket fill: 0.735815
Info:Lattice Sieving: Total CPU time: 179253s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 33.5/41.8567
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 41.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 189.92/58.1156
Info:Filtering - Singleton removal: Total cpu/real time for purge: 108.93/45.7906
Info:Filtering - Merging: Total cpu/real time for merge: 305.59/253.406
Info:Filtering - Merging: Total cpu/real time for replay: 25.87/19.845
Info:Linear Algebra: Total cpu/real time for bwc: 13465/0.000329018
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 552.75
Info:Linear Algebra: Lingen CPU time 165.97, WCT time 16.57
Info:Linear Algebra: Mksol: WCT time 312.7
Info:Quadratic Characters: Total cpu/real time for characters: 28.32/6.70697
Info:Square Root: Total cpu/real time for sqrt: 718.52/100.139
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 197171/13380.2
Info:root: Cleaning up computation data in /tmp/cado._y6p_mal
284070796505557445532449176750172694362336989730169552974376439406715952871776673 1553044092172615862623854529541924561055092921

END:Sat 01 Jan 2022 07:19:47 AEDT (441,174,472,271,725,361,535,834,227,603,795,554,345,004,665,558,380,258,904,801,188,962,524,561,371,759,421,616,740,080,769,845,839,139,831,768,666,570,068,375,231,833 - C126)

7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903<187>

8408752791662963228152150833433012964438993<43>
938254866154624273902427252843700063245630281005446938171924866291347324697379650993795834483427456187168326390052760858143526937082579998225871<144>

02/01/22 14:55:32, 
02/01/22 14:55:32, ****************************
02/01/22 14:55:32, Starting factorization of 444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444494
02/01/22 14:55:32, using pretesting plan: normal
02/01/22 14:55:32, using specified qs/gnfs crossover of 100 digits
02/01/22 14:55:32, using specified qs/snfs crossover of 75 digits
02/01/22 14:55:32, ****************************
02/01/22 14:55:32, div: found prime factor = 2
02/01/22 14:55:32, div: found prime factor = 7573
02/01/22 14:55:32, rho: x^2 + 3, starting 1000 iterations on C200
02/01/22 14:55:32, prp13 = 3719350604213
02/01/22 14:55:32, rho: x^2 + 3, starting 1000 iterations on C187
02/01/22 14:55:32, rho: x^2 + 2, starting 1000 iterations on C187
02/01/22 14:55:33, rho: x^2 + 1, starting 1000 iterations on C187
02/01/22 14:55:33, nfs: input divides 10^206 + 11150
02/01/22 14:55:33, nfs: using supplied cofactor: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:33, nfs: input divides 10^206 + 11150
02/01/22 14:55:33, nfs: using supplied cofactor: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:33, nfs: commencing snfs on c187: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:33, pm1: starting B1 = 150K, B2 = gmp-ecm default on C187
02/01/22 14:55:33, nfs: input divides 10^206 + 11150
02/01/22 14:55:33, nfs: using supplied cofactor: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:33, nfs: commencing snfs on c187: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:33, current ECM pretesting depth: 0.00
02/01/22 14:55:33, scheduled 30 curves at B1=2000 toward target pretesting depth of 44.75
02/01/22 14:55:33, ecm: commencing 48 curves using AVX-ECM method on 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903, B1=2k, B2=200k
02/01/22 14:55:33, ecm: finished 384 curves using AVX-ECM method on C187 input, B1=2k, B2=200k
02/01/22 14:55:33, nfs: input divides 10^206 + 11150
02/01/22 14:55:33, nfs: using supplied cofactor: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:33, nfs: commencing snfs on c187: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:33, current ECM pretesting depth: 17.27
02/01/22 14:55:33, scheduled 74 curves at B1=11000 toward target pretesting depth of 44.75
02/01/22 14:55:33, ecm: commencing 96 curves using AVX-ECM method on 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903, B1=11k, B2=1100k
02/01/22 14:55:34, ecm: finished 384 curves using AVX-ECM method on C187 input, B1=11k, B2=1100k
02/01/22 14:55:34, nfs: input divides 10^206 + 11150
02/01/22 14:55:34, nfs: using supplied cofactor: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:34, nfs: commencing snfs on c187: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:34, current ECM pretesting depth: 21.28
02/01/22 14:55:34, scheduled 214 curves at B1=50000 toward target pretesting depth of 44.75
02/01/22 14:55:34, ecm: commencing 240 curves using AVX-ECM method on 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903, B1=50k, B2=5M
02/01/22 14:55:35, ecm: finished 384 curves using AVX-ECM method on C187 input, B1=50k, B2=5M
02/01/22 14:55:35, nfs: input divides 10^206 + 11150
02/01/22 14:55:35, nfs: using supplied cofactor: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:35, nfs: commencing snfs on c187: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:35, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C187
02/01/22 14:55:36, nfs: input divides 10^206 + 11150
02/01/22 14:55:36, nfs: using supplied cofactor: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:36, nfs: commencing snfs on c187: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:36, current ECM pretesting depth: 25.62
02/01/22 14:55:36, scheduled 430 curves at B1=250000 toward target pretesting depth of 44.75
02/01/22 14:55:37, ecm: commencing 432 curves using AVX-ECM method on 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903, B1=250k, B2=25M
02/01/22 14:55:44, ecm: finished 768 curves using AVX-ECM method on C187 input, B1=250k, B2=25M
02/01/22 14:55:45, nfs: input divides 10^206 + 11150
02/01/22 14:55:45, nfs: using supplied cofactor: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:45, nfs: commencing snfs on c187: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:45, pm1: starting B1 = 15M, B2 = gmp-ecm default on C187
02/01/22 14:55:49, nfs: input divides 10^206 + 11150
02/01/22 14:55:49, nfs: using supplied cofactor: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:49, nfs: commencing snfs on c187: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:55:49, current ECM pretesting depth: 30.81
02/01/22 14:55:49, scheduled 904 curves at B1=1000000 toward target pretesting depth of 44.75
02/01/22 14:55:51, ecm: commencing 912 curves using AVX-ECM method on 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903, B1=1M, B2=100M
02/01/22 14:56:32, ecm: finished 1152 curves using AVX-ECM method on C187 input, B1=1M, B2=100M
02/01/22 14:56:32, nfs: input divides 10^206 + 11150
02/01/22 14:56:32, nfs: using supplied cofactor: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:56:32, nfs: commencing snfs on c187: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 14:56:32, current ECM pretesting depth: 35.72
02/01/22 14:56:32, scheduled 2350 curves at B1=3000000 toward target pretesting depth of 44.75
02/01/22 14:56:34, ecm: commencing 2352 curves using AVX-ECM method on 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903, B1=3M, B2=300M
02/01/22 15:01:10, ecm: finished 2688 curves using AVX-ECM method on C187 input, B1=3M, B2=300M
02/01/22 15:01:11, nfs: input divides 10^206 + 11150
02/01/22 15:01:11, nfs: using supplied cofactor: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 15:01:11, nfs: commencing snfs on c187: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 15:01:11, current ECM pretesting depth: 40.73
02/01/22 15:01:11, scheduled 3610 curves at B1=11000000 toward target pretesting depth of 44.75
02/01/22 15:01:13, ecm: commencing 3648 curves using AVX-ECM method on 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903, B1=11M, B2=1100M
02/01/22 15:24:38, ecm: finished 3840 curves using AVX-ECM method on C187 input, B1=11M, B2=1100M
02/01/22 15:24:38, nfs: input divides 10^206 + 11150
02/01/22 15:24:38, nfs: using supplied cofactor: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 15:24:38, nfs: commencing snfs on c187: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 15:24:38, final ECM pretested depth: 45.64
02/01/22 15:24:38, scheduler: switching to sieve method
02/01/22 15:24:38, nfs: commencing nfs on c187: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 15:24:38, nfs: input divides 10^206 + 11150
02/01/22 15:24:38, nfs: using supplied cofactor: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 15:24:38, nfs: commencing snfs on c187: 7889553225069056775628717539635441033233200642200518864391947415968439443100322699942841795273110552126444177646398270529267313861035284192641871617399415631629763593290135184352813787903
02/01/22 15:24:42, test: fb generation took 3.3820 seconds
02/01/22 15:24:42, test: commencing test sieving of polynomial 0 on the algebraic side over range 19000000-19001000
skew: 2.7862
c6: 2
c0: 223
Y1: -1
Y0: 10000000000000000000000000000000000
rlim: 19000000
alim: 19000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/01/22 15:25:24, nfs: parsing special-q from .dat file
02/01/22 15:25:24, test: new best estimated total sieving time = 6h 22m 42s (with 48 threads)
02/01/22 15:25:26, test: fb generation took 2.2644 seconds
02/01/22 15:25:26, test: commencing test sieving of polynomial 1 on the rational side over range 20200000-20201000
skew: 5.6148
c5: 1
c0: 1115
Y1: -1
Y0: 100000000000000000000000000000000000000000
rlim: 20200000
alim: 20200000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/01/22 15:26:52, nfs: parsing special-q from .dat file
02/01/22 15:26:52, test: estimated total sieving time = 7h 11m 7s (with 48 threads)
02/01/22 15:26:54, test: fb generation took 2.4186 seconds
02/01/22 15:26:54, test: commencing test sieving of polynomial 2 on the rational side over range 21400000-21401000
skew: 11.3110
c5: 1
c0: 35680
Y1: -1
Y0: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
02/01/22 15:28:17, nfs: parsing special-q from .dat file
02/01/22 15:28:17, test: estimated total sieving time = 8h 25m 53s (with 48 threads)
02/01/22 15:28:20, test: fb generation took 3.3807 seconds
02/01/22 15:28:20, test: commencing test sieving of polynomial 0 on the rational side over range 19000000-19001000
skew: 2.7862
c6: 2
c0: 223
Y1: -1
Y0: 10000000000000000000000000000000000
rlim: 19000000
alim: 19000000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
02/01/22 15:29:45, nfs: parsing special-q from .dat file
02/01/22 15:29:45, test: new best estimated total sieving time = 3h 28m 31s (with 48 threads)
02/01/22 15:29:45, nfs: commencing lattice sieving with 48 threads
02/01/22 15:32:35, nfs: commencing lattice sieving with 48 threads
02/01/22 15:35:46, nfs: commencing lattice sieving with 48 threads
02/01/22 15:38:36, nfs: commencing lattice sieving with 48 threads
02/01/22 15:41:35, nfs: commencing lattice sieving with 48 threads
02/01/22 15:44:26, nfs: commencing lattice sieving with 48 threads
02/01/22 15:47:26, nfs: commencing lattice sieving with 48 threads
02/01/22 15:50:18, nfs: commencing lattice sieving with 48 threads
02/01/22 15:53:12, nfs: commencing lattice sieving with 48 threads
02/01/22 15:56:11, nfs: commencing lattice sieving with 48 threads
02/01/22 15:59:13, nfs: commencing lattice sieving with 48 threads
02/01/22 16:02:13, nfs: commencing lattice sieving with 48 threads
02/01/22 16:05:10, nfs: commencing lattice sieving with 48 threads
02/01/22 16:08:11, nfs: commencing lattice sieving with 48 threads
02/01/22 16:11:06, nfs: commencing lattice sieving with 48 threads
02/01/22 16:14:12, nfs: commencing lattice sieving with 48 threads
02/01/22 16:17:09, nfs: commencing lattice sieving with 48 threads
02/01/22 16:20:11, nfs: commencing lattice sieving with 48 threads
02/01/22 16:23:12, nfs: commencing lattice sieving with 48 threads
02/01/22 16:26:15, nfs: commencing lattice sieving with 48 threads
02/01/22 16:29:15, nfs: commencing lattice sieving with 48 threads
02/01/22 16:32:24, nfs: commencing lattice sieving with 48 threads
02/01/22 16:35:19, nfs: commencing lattice sieving with 48 threads
02/01/22 16:38:22, nfs: commencing lattice sieving with 48 threads
02/01/22 16:41:24, nfs: commencing lattice sieving with 48 threads
02/01/22 16:44:27, nfs: commencing lattice sieving with 48 threads
02/01/22 16:47:31, nfs: commencing lattice sieving with 48 threads
02/01/22 16:50:31, nfs: commencing lattice sieving with 48 threads
02/01/22 16:53:32, nfs: commencing lattice sieving with 48 threads
02/01/22 16:56:44, nfs: commencing lattice sieving with 48 threads
02/01/22 16:59:39, nfs: commencing lattice sieving with 48 threads
02/01/22 17:02:40, nfs: commencing lattice sieving with 48 threads
02/01/22 17:05:42, nfs: commencing lattice sieving with 48 threads
02/01/22 17:08:44, nfs: commencing lattice sieving with 48 threads
02/01/22 17:11:41, nfs: commencing lattice sieving with 48 threads
02/01/22 17:14:47, nfs: commencing lattice sieving with 48 threads
02/01/22 17:17:53, nfs: commencing lattice sieving with 48 threads
02/01/22 17:20:48, nfs: commencing lattice sieving with 48 threads
02/01/22 17:23:47, nfs: commencing lattice sieving with 48 threads
02/01/22 17:26:46, nfs: commencing lattice sieving with 48 threads
02/01/22 17:29:46, nfs: commencing lattice sieving with 48 threads
02/01/22 17:32:48, nfs: commencing lattice sieving with 48 threads
02/01/22 17:35:45, nfs: commencing lattice sieving with 48 threads
02/01/22 17:38:53, nfs: commencing lattice sieving with 48 threads
02/01/22 17:41:57, nfs: commencing lattice sieving with 48 threads
02/01/22 17:44:53, nfs: commencing lattice sieving with 48 threads
02/01/22 17:47:49, nfs: commencing lattice sieving with 48 threads
02/01/22 17:50:54, nfs: commencing lattice sieving with 48 threads
02/01/22 17:53:53, nfs: commencing lattice sieving with 48 threads
02/01/22 17:56:52, nfs: commencing lattice sieving with 48 threads
02/01/22 17:59:53, nfs: commencing lattice sieving with 48 threads
02/01/22 18:02:51, nfs: commencing lattice sieving with 48 threads
02/01/22 18:05:57, nfs: commencing lattice sieving with 48 threads
02/01/22 18:09:01, nfs: commencing lattice sieving with 48 threads
02/01/22 18:12:04, nfs: commencing lattice sieving with 48 threads
02/01/22 18:15:07, nfs: commencing lattice sieving with 48 threads
02/01/22 18:18:09, nfs: commencing lattice sieving with 48 threads
02/01/22 18:21:13, nfs: commencing lattice sieving with 48 threads
02/01/22 18:24:23, nfs: commencing lattice sieving with 48 threads
02/01/22 18:27:19, nfs: commencing lattice sieving with 48 threads
02/01/22 18:30:26, nfs: commencing lattice sieving with 48 threads
02/01/22 18:33:32, nfs: commencing lattice sieving with 48 threads
02/01/22 18:36:31, nfs: commencing lattice sieving with 48 threads
02/01/22 18:39:37, nfs: commencing lattice sieving with 48 threads
02/01/22 18:42:45, nfs: commencing lattice sieving with 48 threads
02/01/22 18:45:48, nfs: commencing lattice sieving with 48 threads
02/01/22 18:48:52, nfs: commencing lattice sieving with 48 threads
02/01/22 18:52:02, nfs: commencing lattice sieving with 48 threads
02/01/22 18:55:03, nfs: commencing lattice sieving with 48 threads
02/01/22 18:58:03, nfs: commencing lattice sieving with 48 threads
02/01/22 19:01:04, nfs: commencing lattice sieving with 48 threads
02/01/22 19:04:06, nfs: commencing lattice sieving with 48 threads
02/01/22 19:07:15, nfs: commencing lattice sieving with 48 threads
02/01/22 19:10:17, nfs: commencing lattice sieving with 48 threads
02/01/22 19:13:17, nfs: commencing lattice sieving with 48 threads
02/01/22 19:16:15, nfs: commencing lattice sieving with 48 threads
02/01/22 19:19:18, nfs: commencing lattice sieving with 48 threads
02/01/22 19:22:20, nfs: commencing lattice sieving with 48 threads
02/01/22 19:25:37, nfs: commencing lattice sieving with 48 threads
02/01/22 19:28:45, nfs: commencing lattice sieving with 48 threads
02/01/22 19:31:57, nfs: commencing lattice sieving with 48 threads
02/01/22 19:35:02, nfs: commencing lattice sieving with 48 threads
02/01/22 19:37:58, nfs: commencing lattice sieving with 48 threads
02/01/22 19:40:59, nfs: commencing lattice sieving with 48 threads
02/01/22 19:44:07, nfs: commencing lattice sieving with 48 threads
02/01/22 19:47:13, nfs: commencing lattice sieving with 48 threads
02/01/22 19:50:16, nfs: commencing lattice sieving with 48 threads
02/01/22 19:53:27, nfs: commencing lattice sieving with 48 threads
02/01/22 19:56:32, nfs: commencing lattice sieving with 48 threads
02/01/22 19:59:36, nfs: commencing lattice sieving with 48 threads
02/01/22 20:02:38, nfs: commencing lattice sieving with 48 threads
02/01/22 20:05:44, nfs: commencing lattice sieving with 48 threads
02/01/22 20:08:53, nfs: commencing lattice sieving with 48 threads
02/01/22 20:11:56, nfs: commencing lattice sieving with 48 threads
02/01/22 20:15:06, nfs: commencing lattice sieving with 48 threads
02/01/22 20:18:10, nfs: commencing lattice sieving with 48 threads
02/01/22 20:21:13, nfs: commencing lattice sieving with 48 threads
02/01/22 20:24:26, nfs: commencing lattice sieving with 48 threads
02/01/22 20:27:31, nfs: commencing lattice sieving with 48 threads
02/01/22 20:30:40, nfs: commencing lattice sieving with 48 threads
02/01/22 20:33:48, nfs: commencing lattice sieving with 48 threads
02/01/22 20:36:50, nfs: commencing lattice sieving with 48 threads
02/01/22 20:40:00, nfs: commencing lattice sieving with 48 threads
02/01/22 20:43:03, nfs: commencing lattice sieving with 48 threads
02/01/22 20:46:14, nfs: commencing lattice sieving with 48 threads
02/01/22 20:49:16, nfs: commencing lattice sieving with 48 threads
02/01/22 20:52:19, nfs: commencing lattice sieving with 48 threads
02/01/22 20:55:21, nfs: commencing lattice sieving with 48 threads
02/01/22 20:58:28, nfs: commencing lattice sieving with 48 threads
02/01/22 21:01:27, nfs: commencing lattice sieving with 48 threads
02/01/22 21:04:39, nfs: commencing lattice sieving with 48 threads
02/01/22 21:07:43, nfs: commencing lattice sieving with 48 threads
02/01/22 21:10:45, nfs: commencing lattice sieving with 48 threads
02/01/22 21:13:44, nfs: commencing lattice sieving with 48 threads
02/01/22 21:16:50, nfs: commencing lattice sieving with 48 threads
02/01/22 21:19:52, nfs: commencing lattice sieving with 48 threads
02/01/22 21:22:59, nfs: commencing lattice sieving with 48 threads
02/01/22 21:26:14, nfs: commencing lattice sieving with 48 threads
02/01/22 21:29:32, nfs: commencing lattice sieving with 48 threads
02/01/22 21:32:39, nfs: commencing lattice sieving with 48 threads
02/01/22 21:35:42, nfs: commencing lattice sieving with 48 threads
02/01/22 21:38:50, nfs: commencing lattice sieving with 48 threads
02/01/22 21:41:56, nfs: commencing lattice sieving with 48 threads
02/01/22 21:45:02, nfs: commencing lattice sieving with 48 threads
02/01/22 21:48:07, nfs: commencing lattice sieving with 48 threads
02/01/22 21:51:13, nfs: commencing lattice sieving with 48 threads
02/01/22 21:54:18, nfs: commencing lattice sieving with 48 threads
02/01/22 21:57:24, nfs: commencing lattice sieving with 48 threads
02/01/22 22:00:26, nfs: commencing lattice sieving with 48 threads
02/01/22 22:03:36, nfs: commencing lattice sieving with 48 threads
02/01/22 22:06:49, nfs: commencing lattice sieving with 48 threads
02/01/22 22:09:54, nfs: commencing lattice sieving with 48 threads
02/01/22 22:12:57, nfs: commencing lattice sieving with 48 threads
02/01/22 22:16:01, nfs: commencing lattice sieving with 48 threads
02/01/22 22:19:07, nfs: commencing lattice sieving with 48 threads
02/01/22 22:22:10, nfs: commencing lattice sieving with 48 threads
02/01/22 22:25:17, nfs: commencing lattice sieving with 48 threads
02/01/22 22:28:22, nfs: commencing lattice sieving with 48 threads
02/01/22 22:31:34, nfs: commencing lattice sieving with 48 threads
02/01/22 22:34:47, nfs: commencing lattice sieving with 48 threads
02/01/22 22:37:57, nfs: commencing lattice sieving with 48 threads
02/01/22 22:41:01, nfs: commencing msieve filtering
02/01/22 22:52:32, nfs: commencing msieve linear algebra
02/01/22 23:37:56, nfs: commencing msieve sqrt
02/01/22 23:41:22, prp144 = 938254866154624273902427252843700063245630281005446938171924866291347324697379650993795834483427456187168326390052760858143526937082579998225871
02/01/22 23:41:22, prp43 = 8408752791662963228152150833433012964438993
02/01/22 23:41:23, NFS elapsed time = 29804.0789 seconds.
02/01/22 23:41:23, 
02/01/22 23:41:23, 
02/01/22 23:41:23, Total factoring time = 31550.5307 seconds

YAFU Version 2.07
Built with GCC 9
Using GMP-ECM 7.0.5-dev, Powered by GMP 6.2.1
Detected Intel(R) Xeon(R) Gold 6248R CPU @ 3.00GHz
Detected L1 = 32768 bytes, L2 = 37486592 bytes, CL = 64 bytes
Using 1 random witness for Rabin-Miller PRP checks
Cached 664579 primes; max prime is 9999991

Ubuntu 20.04.3 LTS

6919123915815217428783681514783498401268515141762300431064738678478647003186987319932108730119169768736487433923477715803147189191153654303442722716134601466892745947905921005066287142432253999<193>

1488697306225068454100775899151006434107720434913931<52>
930175522752317102100003345688445513062516495052802928084213<60>
4996660003568368249326901757368662558068044478284523936538874520123574437621467033<82>

Number: n
N=6919123915815217428783681514783498401268515141762300431064738678478647003186987319932108730119169768736487433923477715803147189191153654303442722716134601466892745947905921005066287142432253999  ( 193 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sun Oct  8 04:49:35 2023  prp52 factor: 1488697306225068454100775899151006434107720434913931
Sun Oct  8 04:49:35 2023  prp60 factor: 930175522752317102100003345688445513062516495052802928084213
Sun Oct  8 04:49:35 2023  prp82 factor: 4996660003568368249326901757368662558068044478284523936538874520123574437621467033
Sun Oct  8 04:49:35 2023  elapsed time 03:11:33 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.033).
Factorization parameters were as follows:
#
# N = 2x2x10^205+223 = 4(203)94
#
n: 6919123915815217428783681514783498401268515141762300431064738678478647003186987319932108730119169768736487433923477715803147189191153654303442722716134601466892745947905921005066287142432253999
m: 100000000000000000000000000000000000000000
deg: 5
c5: 2
c0: 223
skew: 2.57
# Murphy_E = 8.717e-12
type: snfs
lss: 1
rlim: 18500000
alim: 18500000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18500000/18500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3593437 hash collisions in 19565878 relations (16324439 unique)
Msieve: matrix is 2436668 x 2436893 (686.9 MB)

Sieving start time: 2023/10/07 05:55:05
Sieving end time  : 2023/10/08 01:37:30

Total sieving time: 19hrs 42min 25secs.

Total relation processing time: 3hrs 1min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 1sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18500000,18500000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

481396533713204718852289552021992067811851376081029310371096588594461282176956685644846127303828246979380482252326250005576785184064063932020085946667640522552839313445309<171>

3079148669238782225485740225223739904384610124057379031<55>
156340789427427713857687355534522297378742208910685675765092685486024220110631623969368128069491213316074080628960139<117>

Number: n
N=481396533713204718852289552021992067811851376081029310371096588594461282176956685644846127303828246979380482252326250005576785184064063932020085946667640522552839313445309  ( 171 digits)
SNFS difficulty: 208 digits.
Divisors found:

Sun Sep 29 10:02:10 2024  prp55 factor: 3079148669238782225485740225223739904384610124057379031
Sun Sep 29 10:02:10 2024  prp117 factor: 156340789427427713857687355534522297378742208910685675765092685486024220110631623969368128069491213316074080628960139
Sun Sep 29 10:02:10 2024  elapsed time 03:24:41 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.139).
Factorization parameters were as follows:
#
# N = 2x2x10^208+223 = 4(206)94
#
n: 481396533713204718852289552021992067811851376081029310371096588594461282176956685644846127303828246979380482252326250005576785184064063932020085946667640522552839313445309
m: 100000000000000000000000000000000000000000
deg: 5
c5: 2000
c0: 223
skew: 0.64
# Murphy_E = 5.241e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 27
lpba: 27
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0:       50000
qintsize: 50000
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 57/57
Sieved  special-q in [50000, 70450000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8313811 hash collisions in 27516228 relations (17260076 unique)
Msieve: matrix is 2530519 x 2530744 (713.1 MB)

Sieving start time: 2024/09/27 17:08:52
Sieving end time  : 2024/09/29 06:31:12

Total sieving time: 37hrs 22min 20secs.

Total relation processing time: 3hrs 15min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 24sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,27,27,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

5135467500587958155624582989184075454635027281191247057918003446858637238365228411203935763626782388698360010231011470374989376794009511700288087450940963<154>

275155314664126541382691276988053701804070274579436153548900941585164662316323625052430046248310694469281765325421713720185130432721503830162212065409527628907<159>

50079545393794161286732990014228888086764895405471898536378520630724252501450827610640766442943295718350459846868927850919394973429848850298419136862142604773355367704036777381719359676893<188>

17094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094019<212>

1591175189561629228433206390070182903674352700867510815710461797683355560920668691473566026268471426152467287864415890305492728110648477782411997880587740354991337471165361645228017<181>

6279240140835341723113313475191790450517954552624574090241750490518813159076382009807822822375989332476061184392427817151840617416545993179891<142>

25147902276308144281688619846700486190093<41>
249692402644296025458969826070131627737896839603618439013406318083380099903921906887317488804382802687<102>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:393264649
Step 1 took 5921ms
Step 2 took 3375ms
********** Factor found in step 2: 25147902276308144281688619846700486190093
Found prime factor of 41 digits: 25147902276308144281688619846700486190093
Prime cofactor 249692402644296025458969826070131627737896839603618439013406318083380099903921906887317488804382802687 has 102 digits
 

GMP-ECM

10570317797133086696108172827021453041336760441769519822701945525127310228838395537803763847050249758111490109855727317934600069647823965309908240656750757244354089367914550819366111783119065063847097816188198589<212>

58773913309146924541872156657773477<35>

179847098857173406110206813472975169679066837962162836777972868659916109676849878878657029728757427121075618233893098103591949504120385797733464464949558416139282646230821395257<177>

C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:3776466815 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 10570317797133086696108172827021453041336760441769519822701945525127310228838395537803763847050249758111490109855727317934600069647823965309908240656750757244354089367914550819366111783119065063847097816188198589 (212 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3776466815
Step 1 took 6297ms
Step 2 took 5250ms
********** Factor found in step 2: 58773913309146924541872156657773477
Found probable prime factor of 35 digits: 58773913309146924541872156657773477
Composite cofactor 179847098857173406110206813472975169679066837962162836777972868659916109676849878878657029728757427121075618233893098103591949504120385797733464464949558416139282646230821395257 has 177 digits

646455523352574029253598970226526193833365128377765098914613139347686944121231544661900596485865819786673488723853477768629933079383673712009984640758401253693333641434103<171>

80673211699745433802009551417665388482506161846812358481<56>
8013261276352704508852771601196211859273286768044283586827986826921058176756915322066803196260768654712085290865863<115>

Number: 44494_219
N = 646455523352574029253598970226526193833365128377765098914613139347686944121231544661900596485865819786673488723853477768629933079383673712009984640758401253693333641434103 (171 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=80673211699745433802009551417665388482506161846812358481 (pp56)
r2=8013261276352704508852771601196211859273286768044283586827986826921058176756915322066803196260768654712085290865863 (pp115)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 24.96 hours.
Factorization parameters were as follows:
n: 646455523352574029253598970226526193833365128377765098914613139347686944121231544661900596485865819786673488723853477768629933079383673712009984640758401253693333641434103
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: 1115
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: 31286789
Relations: 7737142 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 9.39 hours.
Total relation processing time: 0.26 hours.
Pruned matrix : 6631738 x 6631963
Matrix solve time: 15.20 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 24.96 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

120064006280316456228286684121761684373791956586375128442539397601721403556078964416538685180697719282012087254816827925555739458052928494249368197802426807723338304467<168>

63852555744403974149219006101953692236328214464311666894102099343160476058583610579<83>
1880332038092912873287868937188624840916246235081368495520165877334437391014368111873<85>

Number: 44494_221
N = 120064006280316456228286684121761684373791956586375128442539397601721403556078964416538685180697719282012087254816827925555739458052928494249368197802426807723338304467 (168 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=63852555744403974149219006101953692236328214464311666894102099343160476058583610579 (pp83)
r2=1880332038092912873287868937188624840916246235081368495520165877334437391014368111873 (pp85)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 28.94 hours.
Factorization parameters were as follows:
n: 120064006280316456228286684121761684373791956586375128442539397601721403556078964416538685180697719282012087254816827925555739458052928494249368197802426807723338304467
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 20
c0: 223
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: 30728101
Relations: 8352326 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 10.02 hours.
Total relation processing time: 0.26 hours.
Pruned matrix : 7150807 x 7151032
Matrix solve time: 18.52 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 28.94 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

1184898073990314669548361946429833641575359387574376258986053846070554289531036937643899094971670817267775727083340522806706666651446531<136>

546775136257725532046729559834474086588350552881866611391<57>
2167066487514542552412330333687912092001233693342694602605288469395012764324541<79>

1184898073990314669548361946429833641575359387574376258986053846070554289531036937643899094971670817267775727083340522806706666651446531=546775136257725532046729559834474086588350552881866611391*2167066487514542552412330333687912092001233693342694602605288469395012764324541

cado polynomial
n: 1184898073990314669548361946429833641575359387574376258986053846070554289531036937643899094971670817267775727083340522806706666651446531
skew: 60605.271
c0: -2904011823583543157082590787080
c1: 275045070118736279592118011
c2: 5158650332561083993978
c3: -66156906342641859
c4: -611743137650
c5: 7260000
Y0: -96954154273476581987093898
Y1: 51751593691998797263
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.182e-07
# f(x) = 7260000*x^5-611743137650*x^4-66156906342641859*x^3+5158650332561083993978*x^2+275045070118736279592118011*x-2904011823583543157082590787080
# g(x) = 51751593691998797263*x-96954154273476581987093898

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

cado log (extracts)
Info:Square Root: Factors: 2167066487514542552412330333687912092001233693342694602605288469395012764324541 546775136257725532046729559834474086588350552881866611391
Info:Square Root: Total cpu/real time for sqrt: 1019/297.085
Info:Generate Free Relations: Total cpu/real time for freerel: 248.21/63.019
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 76.38/86.0523
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 85.9s
Info:Quadratic Characters: Total cpu/real time for characters: 47.58/19.8253
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54003/40.350/48.539/53.870/0.969
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 43899/39.090/43.407/49.240/1.122
Info:Polynomial Selection (size optimized): Total time: 11126.2
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 195.46/165.095
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 152.10000000000002s
Info:Linear Algebra: Total cpu/real time for bwc: 30784.3/7907.59
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 19580.32, WCT time 5014.55, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (43776 iterations)
Info:Linear Algebra: Lingen CPU time 273.1, WCT time 69.41
Info:Linear Algebra: Mksol: CPU time 10685.89,  WCT time 2733.56, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (22016 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 15.2/4.04314
Info:Filtering - Singleton removal: Total cpu/real time for purge: 84.56/94.7197
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7353.67
Info:Polynomial Selection (root optimized): Rootsieve time: 7351.16
Info:Filtering - Merging: Merged matrix has 1399625 rows and total weight 239462260 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 392.42/108.722
Info:Filtering - Merging: Total cpu/real time for replay: 53.04/44.6794
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17017412
Info:Lattice Sieving: Average J: 3800.39 for 684641 special-q, max bucket fill -bkmult 1.0,1s:1.167130
Info:Lattice Sieving: Total time: 271737s
Info:Square Root: Total cpu/real time for sqrt: 1019/297.085
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 566852/90944.1
2167066487514542552412330333687912092001233693342694602605288469395012764324541 546775136257725532046729559834474086588350552881866611391

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)

450155666016507436162767411919648025816753441000620460789105240961045183860517011272749809596566483958444151130403933507854523764044578940431423406665783028914708804727785437097997392154077323692693990762447<207>

24859016281065296231410565407292747561126795170253899846284105440082047813697846078634256995334236999213311847140974244211439350330009308714383597500604135037639447870858473187191651<182>

6938152136535523252249225744097479295602719580788738447176986582102268184351942847110862694935542806895464612606510724013801574593870670705652752028940237802912596886642506231181533<181>

102883719915076167573214789564382714265555898519245377976287831610429348544430105710507735525870454933584156731195080338609787967225024909121492531403411757784902960879895227129010012739804599<192>

129865255282592196361424088978831816150911<42>
792234379327995885318877934262136985851488660108997129979471314558959903455535914268399445170493439757972771770310154117341333705333105833129921662409<150>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=433942320
Step 1 took 9133ms
Step 2 took 4029ms
********** Factor found in step 2: 129865255282592196361424088978831816150911
Found probable prime factor of 42 digits: 129865255282592196361424088978831816150911
Probable prime cofactor 792234379327995885318877934262136985851488660108997129979471314558959903455535914268399445170493439757972771770310154117341333705333105833129921662409 has 150 digits

31195446848662785641605258541707570305884098919950854013138005428366830406263289032471013390833760701958712124059725970670562614360884260170559186180230108908451399433773566738387680503607052574633495364216663<209>

23346109518692846049760138434110486027009<41>

1336216075902715364439680724430755410380570230589912053232417240110800770249579694297082058895216525694565205133534337425939297444942404983492233143028367903421542136407<169>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3951576771
Step 1 took 11221ms
Step 2 took 3812ms
********** Factor found in step 2: 23346109518692846049760138434110486027009
Found probable prime factor of 41 digits: 23346109518692846049760138434110486027009
Composite cofactor 1336216075902715364439680724430755410380570230589912053232417240110800770249579694297082058895216525694565205133534337425939297444942404983492233143028367903421542136407 has 169 digits

1336216075902715364439680724430755410380570230589912053232417240110800770249579694297082058895216525694565205133534337425939297444942404983492233143028367903421542136407<169>

135075923095455896761309232522473916537<39>

9892333476473329753822961519543629064449969857592669909924885206745066750349891559625256661192761626141561146982367316104265778511<130>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1436866212
Step 1 took 4343ms
********** Factor found in step 2: 135075923095455896761309232522473916537
Found prime factor of 39 digits: 135075923095455896761309232522473916537
Composite cofactor 9892333476473329753822961519543629064449969857592669909924885206745066750349891559625256661192761626141561146982367316104265778511 has 130 digits

GMP-ECM

9892333476473329753822961519543629064449969857592669909924885206745066750349891559625256661192761626141561146982367316104265778511<130>

1372777441155113891435177045157208157024126787060425281<55>
7206072288126686836521551476934619005404364529319707985149403806225906770831<76>

n: 9892333476473329753822961519543629064449969857592669909924885206745066750349891559625256661192761626141561146982367316104265778511

p55 factor: 1372777441155113891435177045157208157024126787060425281
p76 factor: 7206072288126686836521551476934619005404364529319707985149403806225906770831

GGNFS

3945457011539069458413021844611764452847644710130042282813970152541051970327244493221097966279388844294610362314946205335081299734271949529478228295868686233112431460718696310938325443218182954130289<199>

1361251703812134988122737097952984910203517831052087402438003749848752961109135445244566313770141221978840426469033765829842867568738918718353430737408748332911427775304771595911793<181>

2208115921382898314897880275455189013<37>

616476558422535441122207114349207436343808110968745224979485578829405771349115184468779792066281144614318304210827241107312945135738760506414061<144>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1736213705
Step 1 took 9656ms
Step 2 took 4363ms
********** Factor found in step 2: 2208115921382898314897880275455189013
Found prime factor of 37 digits: 2208115921382898314897880275455189013
Composite cofactor 616476558422535441122207114349207436343808110968745224979485578829405771349115184468779792066281144614318304210827241107312945135738760506414061 has 144 digits

616476558422535441122207114349207436343808110968745224979485578829405771349115184468779792066281144614318304210827241107312945135738760506414061<144>

4693901974664701387048070709542986778421483093523504181<55>
131335626894205027502945704577798425775683202896224051174985072693613241481865181187563481<90>

616476558422535441122207114349207436343808110968745224979485578829405771349115184468779792066281144614318304210827241107312945135738760506414061=4693901974664701387048070709542986778421483093523504181*131335626894205027502945704577798425775683202896224051174985072693613241481865181187563481

cado polynomial
n: 616476558422535441122207114349207436343808110968745224979485578829405771349115184468779792066281144614318304210827241107312945135738760506414061
skew: 423999.489
type: gnfs
c0: 2877010818561861904932851738075808
c1: 42095504419735527635932934062
c2: -83333384870987706725673
c3: -578281844805222505
c4: 356882040918
c5: 362880
Y0: -6332928686886985947331033255
Y1: 4184085971320131767
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.858e-07
# f(x) = 362880*x^5+356882040918*x^4-578281844805222505*x^3-83333384870987706725673*x^2+42095504419735527635932934062*x+2877010818561861904932851738075808
# g(x) = 4184085971320131767*x-6332928686886985947331033255

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

cado log (extracts)
Info:Square Root: Factors: 4693901974664701387048070709542986778421483093523504181 131335626894205027502945704577798425775683202896224051174985072693613241481865181187563481
Info:Square Root: Total cpu/real time for sqrt: 1560.26/466.279
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1022.24/1015.55
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 845.3s
Info:Square Root: Total cpu/real time for sqrt: 1560.26/466.279
Info:Filtering - Singleton removal: Total cpu/real time for purge: 826.26/930.515
Info:Generate Factor Base: Total cpu/real time for makefb: 17.76/4.75581
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 48275592
Info:Lattice Sieving: Average J: 3795.69 for 1035688 special-q, max bucket fill -bkmult 1.0,1s:1.142480
Info:Lattice Sieving: Total time: 1.16279e+06s
Info:Linear Algebra: Total cpu/real time for bwc: 193092/49489.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 124060.13, WCT time 31683.31, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (102912 iterations)
Info:Linear Algebra: Lingen CPU time 737.03, WCT time 186.87
Info:Linear Algebra: Mksol: CPU time 67035.18,  WCT time 17146.14, iteration CPU time 0.31, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (51712 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 505.72/128.469
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 217.98/262.388
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 261.4s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5318.31
Info:Polynomial Selection (root optimized): Rootsieve time: 5315.78
Info:Filtering - Merging: Merged matrix has 3285546 rows and total weight 560992837 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 827.8/234.304
Info:Filtering - Merging: Total cpu/real time for replay: 139.5/125.595
Info:Quadratic Characters: Total cpu/real time for characters: 130.64/56.097
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78490/43.470/51.807/57.140/0.916
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 64572/42.190/46.346/52.530/1.119
Info:Polynomial Selection (size optimized): Total time: 41875
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.47188e+06/514671
Info:root: Cleaning up computation data in /tmp/cado.6x5auax7
4693901974664701387048070709542986778421483093523504181 131335626894205027502945704577798425775683202896224051174985072693613241481865181187563481

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)

66856010194236849092871435280894049173521434047331280176778094644311594208726748616691884794914210712284229874447782150824518433977346539818093346824367355053632374659304089163725581430376972360240107<200>

62996558484112146909100630276202626641243549629003693071199142080278051386370243296661504325953013958908765168576049206449257941903738758602714629344281686983932494844615627486563356434823675783<194>

1010444281447353382324541428893320104376523771227328903090196230487783053130038243015776375610621009031265049290307433811584589199967716042492243883122851496966086910401942927613106322440753426984895404628901464325702760697383<226>

7136888482377318131786524615862605563581<40>
141580505838417063045850568707002564557419873030169258046232820306866819458438733103184552843984398436026538323157231732593298343849308670030352574123243646075409382763820374402541451443<186>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:52707179
Step 1 took 9563ms
Step 2 took 4328ms
********** Factor found in step 2: 7136888482377318131786524615862605563581
Found prime factor of 40 digits: 7136888482377318131786524615862605563581
Prime cofactor 141580505838417063045850568707002564557419873030169258046232820306866819458438733103184552843984398436026538323157231732593298343849308670030352574123243646075409382763820374402541451443 has 186 digits

GMP-ECM

1948678495302350017692584356188088015558362241442099185765745271788158454172825360851730962247726322668926634212228475599501182016578534886518330716348494395686443900224107234296665319998679359376904704749<205>

335243980650876366763396506366547052447987<42>

5812717327598215730772609527168863376240794454258388776732146712161378667432292960903238298419998341194174199829331269825319779921349056420770757423269120430599327<163>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1302558581
Step 1 took 6547ms
********** Factor found in step 2: 335243980650876366763396506366547052447987
Found prime factor of 42 digits: 335243980650876366763396506366547052447987
Composite cofactor 5812717327598215730772609527168863376240794454258388776732146712161378667432292960903238298419998341194174199829331269825319779921349056420770757423269120430599327 has 163 digits

GMP-ECM

47556860763424592095480500647477975395749699160393957971222064540087231958547139897491326615039253430632720161222040201823573178504114807542804054147971237124263083657811131811772180911698378401<194>

5495071349225468634624303531976627218893924904848373603109389556440178839760855348281812114736761606395945394568196183397230988232315515109368932106307040569492022453<166>

82241273955307500747296566953427261326138116306687365070540253085441739714089233490470605724842096398136489553337578615760565252232765488099158304735875892895514814060768441715686881504157722436859214027<203>

1990592247310885770174075991951967064240430012490488975161570958644971330135239475604505805362785690711241594713427336609425879823021688408956780085527315979536691131273091511795737<181>

19278087874099111120917967218035809839162386912131326086094800595574432846323779721377115415605270774826236942989945002169307063858831743371536187614060675551424439600223181231090891061745309824169082027627611756686757222547907<227>

241866480156095515260313379842248114373<39>
79705496444391304592317341761174922425893837675193133382246429604789882090774328376240460924679973500472333640703002065823424846108723730625614180956840641493908237441943296430054190256359<188>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3108256323
Step 1 took 13404ms
********** Factor found in step 1: 241866480156095515260313379842248114373
Found probable prime factor of 39 digits: 241866480156095515260313379842248114373
Probable prime cofactor 79705496444391304592317341761174922425893837675193133382246429604789882090774328376240460924679973500472333640703002065823424846108723730625614180956840641493908237441943296430054190256359 has 188 digits

7977878077552671483916540688239089173045642126345470490128239612126641618637161664305937520687115337359116964819220806729968890095969391953504463297573990404310385595822866138676850571106323157490586801042020323779<214>

11155775160292889279805098821441403113675467874753932368935030300687657242215958867953430533576919546156549321057656157204316749440544446454408878357563831482887881928986628149939538394392676863557620553406029605481997<218>

548243969157407815705173783349212084298722187839112925483160585859023412690566024427871135874953141918991016622728015180044859879752612037477182106544191029177686310359266883916245632549734976424436293073400364512903181<219>

21204252402291170919395829175487760675090821148732174918148799580714560482497305406082021112658208404832325846068964896148466471418984220542868745831236583514830420097174376850928260032725657811418920891743369647556004531<221>

34876018835075531233578087907851555069950236794644715773087816667411851059695604790475621216946193985665718214852166354770348342313137144267256874629156872361205486772563300004579707339049586620264505263079970959670565500183480313<230>

93218271304208363624443549175910784319379752517738908060002017018945206736103322736894219517501497387170701496216187243956668748891166774092471499897297902365029835373717515305210766991<185>

246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913583<252>

1347269788424146154467297036686163075138441906875270645449403966835148816423154051940497263940936446946566950110000199598019155037252784330055985055059581760168503571346123329197686627297153090272794984669652849734615133893658796529570446537818769<247>

27922396430859546586896528510610582967173<41>

48250507142544447992313544620654350627747377139268897758935755946513299334675883418784523182259660056325934818672957206066419697013753439450678293444783498575815209292017119285420703402744992545574808388253<206>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=182919682
Step 1 took 12932ms
Step 2 took 4283ms
********** Factor found in step 2: 27922396430859546586896528510610582967173
Found probable prime factor of 41 digits: 27922396430859546586896528510610582967173
Composite cofactor 48250507142544447992313544620654350627747377139268897758935755946513299334675883418784523182259660056325934818672957206066419697013753439450678293444783498575815209292017119285420703402744992545574808388253 has 206 digits

364744297668501553546910576862647834793311690585294736143286519390988774665738281434391974734213745785606538762468952311681191122877731830783869354574816086159927317324568401960198405913868573072858386432483236309328501239663275023854807<237>

40932441006119399930414850289597020118294754507685065798898917336935388141871840527209840158817871103743271730009619123636438058983647489818055299727799267309305990462741245574179816213339882523894312437322199709379668856552260494054562943861157160107243<254>

1183429921924986045881933102008286494656310944791869883773572222864232954866527152113170930061717645573270909771811634169385153126068600237313202243617451780704044945721690773430033759113667793114437850964634439384689813254166605276239466808015536541387<253>

369765768273683712111785931294069053715303682273647605257407194970342113631852353718911976106118362332743257096013625018885281503952822838771182117259864398413456353551266645996651284107<186>

33876322395365808413023363392834637<35>

10915168534476655420680780624586292931336661387323925427792805554192610923998599496214839991881884217645152188198060942878132456606822406351308802976311<152>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1725598287
Step 1 took 8954ms
Step 2 took 4458ms
********** Factor found in step 2: 33876322395365808413023363392834637
Found prime factor of 35 digits: 33876322395365808413023363392834637
Composite cofactor 10915168534476655420680780624586292931336661387323925427792805554192610923998599496214839991881884217645152188198060942878132456606822406351308802976311 has 152 digits

10915168534476655420680780624586292931336661387323925427792805554192610923998599496214839991881884217645152188198060942878132456606822406351308802976311<152>

801406980277649602497057716738244713330895211<45>
13620006816879815473989112855046714268329798768582899340020457335284012071437912544967003115935315180960101<107>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2110768552
Step 1 took 5875ms
Step 2 took 3406ms
********** Factor found in step 2: 801406980277649602497057716738244713330895211
Found prime factor of 45 digits: 801406980277649602497057716738244713330895211
Prime cofactor 13620006816879815473989112855046714268329798768582899340020457335284012071437912544967003115935315180960101 has 107 digits

GMP-ECM

564100264309178842065746449905499103221604814482935825979581262732800653453746175752770648960687570530161171907017097032860814746934749676276960819569992009519756060481702138701537088605202865967802849214024999231413389878743827685420462003757471860563440267<258>

27830953112178052399226927852348775974423408983269122210101430699288901795000349852716810149953329024380498316643059460936508583981981619522726514358176683000953692678059<170>

760654597791897448163366136307480170331088781839<48>

36588161292876510201920691605692986734414921905267535355015697685021619040854242521391635608792301843791656822203702946981<122>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:387417907
Step 1 took 4718ms
********** Factor found in step 2: 760654597791897448163366136307480170331088781839
Found prime factor of 48 digits: 760654597791897448163366136307480170331088781839
Composite cofactor 36588161292876510201920691605692986734414921905267535355015697685021619040854242521391635608792301843791656822203702946981 has 122 digits
 

GMP-ECM

36588161292876510201920691605692986734414921905267535355015697685021619040854242521391635608792301843791656822203702946981<122>

321266478099190329423165377506484048452192133155122397<54>
113887267384242916974903054651091315936407759997126845410851083796073<69>

36588161292876510201920691605692986734414921905267535355015697685021619040854242521391635608792301843791656822203702946981=321266478099190329423165377506484048452192133155122397*113887267384242916974903054651091315936407759997126845410851083796073

cado polynomial
n: 36588161292876510201920691605692986734414921905267535355015697685021619040854242521391635608792301843791656822203702946981
skew: 30533.329
c0: -676335956702278152626185248
c1: 6558758662966293610903
c2: 9477658564844463345
c3: -39807855728686
c4: -5100391284
c5: -12600
Y0: -321997023995095424689618
Y1: 3901749945808289189
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.335e-06
# f(x) = -12600*x^5-5100391284*x^4-39807855728686*x^3+9477658564844463345*x^2+6558758662966293610903*x-676335956702278152626185248
# g(x) = 3901749945808289189*x-321997023995095424689618

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: 113887267384242916974903054651091315936407759997126845410851083796073 321266478099190329423165377506484048452192133155122397
Info:Square Root: Total cpu/real time for sqrt: 370.2/48.8095
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): 20281/36.530/43.525/47.280/1.051
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16449/35.180/38.534/43.980/0.861
Info:Polynomial Selection (size optimized): Total time: 3355.56
Info:Generate Factor Base: Total cpu/real time for makefb: 6.01/0.650203
Info:Quadratic Characters: Total cpu/real time for characters: 27.8/6.16965
Info:Square Root: Total cpu/real time for sqrt: 370.2/48.8095
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 309.24/246.347
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 200.70000000000002s
Info:Linear Algebra: Total cpu/real time for bwc: 6792.94/1229.14
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4060.14, WCT time 747.86, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25088 iterations)
Info:Linear Algebra: Lingen CPU time 327.93, WCT time 28.8
Info:Linear Algebra: Mksol: CPU time 2331.67,  WCT time 431.58, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 177.01/205.499
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13930244
Info:Lattice Sieving: Average J: 1899.14 for 326626 special-q, max bucket fill -bkmult 1.0,1s:1.266710
Info:Lattice Sieving: Total time: 73455.6s
Info:Generate Free Relations: Total cpu/real time for freerel: 152.02/13.9563
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3338.89
Info:Polynomial Selection (root optimized): Rootsieve time: 3335.14
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 103.23/91.6814
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 91.0s
Info:Filtering - Merging: Merged matrix has 802096 rows and total weight 80344988 (100.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 69.06/11.8121
Info:Filtering - Merging: Total cpu/real time for replay: 18.78/13.7116
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 151046/14542.2
Info:root: Cleaning up computation data in /tmp/cado.664lnpqg
113887267384242916974903054651091315936407759997126845410851083796073 321266478099190329423165377506484048452192133155122397

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)

22222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222247<266>

9736008739536436296290370162676311814508130899464689066004011892738407277474555066950027061162737093629161277196693605964962562387799921085198551203177632531521644268749626263382548031082920551523<196>

839094511754345921117959870873605255463181343474290463617651768060964843179278846044493410628515610071702304276295270172012363884818541708660245151982567416337205070098228728834067<180>

1602593124666105025599023855759567327<37>
523585493310517281798271476357460261354859315071539857297656605635335025265343883131068712462917539895644676019512681989220075064534487784812621<144>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:778491676
Step 1 took 8437ms
********** Factor found in step 1: 1602593124666105025599023855759567327
Found prime factor of 37 digits: 1602593124666105025599023855759567327
Prime cofactor 523585493310517281798271476357460261354859315071539857297656605635335025265343883131068712462917539895644676019512681989220075064534487784812621 has 144 digits

GMP-ECM

24958986405085075424250813779866071748791061809200299354690805018342314426828907577646247015541476624705687130077571018309626986914780292070343374597745984097875266010375341889278872710344640295560676375078811680657113897070637919408874003969542354088717<254>

3810251276036089856511331468413811939<37>

6550483051356812781196595729321569430569653071361785909005917713434859825615332435769030889516958308426950931127832274073228529293837303334199051666078482295788495016763286810654035574905158085870044003977698659681103<217>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=93118958
Step 1 took 14851ms
Step 2 took 4600ms
********** Factor found in step 2: 3810251276036089856511331468413811939
Found probable prime factor of 37 digits: 3810251276036089856511331468413811939
Composite cofactor 6550483051356812781196595729321569430569653071361785909005917713434859825615332435769030889516958308426950931127832274073228529293837303334199051666078482295788495016763286810654035574905158085870044003977698659681103 has 217 digits

6550483051356812781196595729321569430569653071361785909005917713434859825615332435769030889516958308426950931127832274073228529293837303334199051666078482295788495016763286810654035574905158085870044003977698659681103<217>

47603691231067428394884099822007877527859<41>
137604519354620849849863517569465476999456505397497076738753758327207896156738362226800973536641508837510192282277872345156543067334715987957020636680220389402136100871550342517<177>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1030078071
Step 1 took 9422ms
Step 2 took 4110ms
********** Factor found in step 2: 47603691231067428394884099822007877527859
Found prime factor of 41 digits: 47603691231067428394884099822007877527859
Prime cofactor 137604519354620849849863517569465476999456505397497076738753758327207896156738362226800973536641508837510192282277872345156543067334715987957020636680220389402136100871550342517 has 177 digits

GMP-ECM

68835773197238253999531231547356815661999406836515204368639729216932090951184332945135508466187722135927307236220156112962233950766837735789066912379373605474238895109473784059582290637846573965623774852785213790496653279282029370235657<236>

56630398493024589450881827935040576034701150368187729142905185765537267019555119404609150464366871322380008913709747603360547758919609988541761093029437479020833434801587712924311114702288355680033951701242359092650438153<221>

52310576272917321003931544993315621<35>
765757746068262931365456612139625238122069<42>
1413737293662385590564714405950355236546765065699266532277510192324841258960030761211268985159337549223919761291082387214920211367566870436847297<145>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2637422307
Step 1 took 13746ms
Step 2 took 4383ms
********** Factor found in step 2: 52310576272917321003931544993315621
Found probable prime factor of 35 digits: 52310576272917321003931544993315621
Composite cofactor 1082580283527554326659776377295684280400502400215944770495432378787919534949003137724177978402476714872711083517945213177492458843868367072905937641676411634085605170065252120637198697493 has 187 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3579918442
Step 1 took 10202ms
Step 2 took 3978ms
********** Factor found in step 2: 765757746068262931365456612139625238122069
Found probable prime factor of 42 digits: 765757746068262931365456612139625238122069
Probable prime cofactor 1413737293662385590564714405950355236546765065699266532277510192324841258960030761211268985159337549223919761291082387214920211367566870436847297 has 145 digits

211627078453538646059248477919666548181726361353302513721990606488286119203517159591596918420844576411128323224040219819626822706136003748408947628036057176292243571981426369171999067753845366798434648571652080350098370370975733144442651177760707<246>

13781344421078966606860044006440715949<38>

15356054677063935961741205369457019343642008408418125889390313193574750496139422241124117200959862589657000266263999672418641174381904844713607589023802248672839868758902740962415912780548932905807312583620143<209>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3140225322
Step 1 took 13418ms
********** Factor found in step 1: 13781344421078966606860044006440715949
Found probable prime factor of 38 digits: 13781344421078966606860044006440715949
Composite cofactor 15356054677063935961741205369457019343642008408418125889390313193574750496139422241124117200959862589657000266263999672418641174381904844713607589023802248672839868758902740962415912780548932905807312583620143 has 209 digits

155968315364116521509249258741838966752081706880641124965508668562389758785780068511510067178791447109180449369445300039526365057771816306618503957002854611829255814296824620354064655535375052945679579493067697190724273284457473151126143194330294761938681933<258>

56486069075298875393421863915462253257917<41>

2761181967826485227274699705725229669817997669597712491284235495603078779712314779507245862407508566296757596409660469213557432041183663054393067873404311949379951382097035065419643963552710793924281442690059452132049<217>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1900991450
Step 1 took 14517ms
Step 2 took 5113ms
********** Factor found in step 2: 56486069075298875393421863915462253257917
Found probable prime factor of 41 digits: 56486069075298875393421863915462253257917
Composite cofactor 2761181967826485227274699705725229669817997669597712491284235495603078779712314779507245862407508566296757596409660469213557432041183663054393067873404311949379951382097035065419643963552710793924281442690059452132049 has 217 digits

2761181967826485227274699705725229669817997669597712491284235495603078779712314779507245862407508566296757596409660469213557432041183663054393067873404311949379951382097035065419643963552710793924281442690059452132049<217>

4017873967740826275357256038912859678589<40>

687224634220929797813903306516817949029624945752940062297113687472061563907160705584935975489485532389105082140714663398140248599072168720101127846326761706057886090837816359141<177>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2392517541
Step 1 took 7578ms
Step 2 took 3531ms
********** Factor found in step 2: 4017873967740826275357256038912859678589
Found prime factor of 40 digits: 4017873967740826275357256038912859678589
Composite cofactor 687224634220929797813903306516817949029624945752940062297113687472061563907160705584935975489485532389105082140714663398140248599072168720101127846326761706057886090837816359141 has 177 digits

GMP-ECM

26537633400531623447375404113107686811397317138755288722942379751747713503341748367790020120144992696333102171572006821512995928690094224509209992551973020558525068301894088249104071815699799288222484543278494135250888479933077757002353599220487590213060973663558880643<269>

222006242965813508682377993723143697<36>

119535527677111871698384419500692229309483037045018110149214639724629407699919077637474627037424346819112322507499153844588215029546728894977519099246560355771219368358845980623844902920397350194852616430781496118093151060519537563219<234>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3469985454
Step 1 took 13293ms
Step 2 took 5584ms
********** Factor found in step 2: 222006242965813508682377993723143697
Found prime factor of 36 digits: 222006242965813508682377993723143697
Composite cofactor 119535527677111871698384419500692229309483037045018110149214639724629407699919077637474627037424346819112322507499153844588215029546728894977519099246560355771219368358845980623844902920397350194852616430781496118093151060519537563219 has 234 digits

1500631889854288011007206562377784556673104467210357104446564449568825865247745031625844775134218578342702489671778570485424484762829543010926351421172837224959289377624002870596778446831826061646965237375801699602042448532743472147999562105090115573022422539<259>

2213423367953822743281832815427857886083659<43>
677968757166204612128124573437833667099338382214206367215810755923954183425500093210558583732047658319394036841829691452852733314825306803269017456116995477526194014313354719732096560173193851297108198758477042752321<216>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3042999987
Step 1 took 12562ms
Step 2 took 5172ms
********** Factor found in step 2: 2213423367953822743281832815427857886083659
Found prime factor of 43 digits: 2213423367953822743281832815427857886083659
Prime cofactor 677968757166204612128124573437833667099338382214206367215810755923954183425500093210558583732047658319394036841829691452852733314825306803269017456116995477526194014313354719732096560173193851297108198758477042752321 has 216 digits

GMP-ECM

3693121154411328997785707817446296165210290855077462493371174929534829873721194960847896834620488212372345036947595178601834473010588912009672923907677291795310583357458739364064119182684048577477846475937938818773229864674563<226>

6542508139960727656758716098449947563307281048749803676300605912519703483558932184196453306321887834768282540510146745226795314980444250496820304919188996990543545541358224550616082908218817806178058299199009671121856134713728171190252693448886338257033408841493<262>

2110567748774170674172366875244778515403700628758851131715894752134555384433776782831977955152692855172560768911648704883245785404562254853831291675121681507383660539804196445905012086358535649786095477758365873784604445747242710074570023497801330329<250>

17094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094017094019<284>

17880273307799815131273723113858179552931<41>

956026610989232652881198565857703944428233602840138583623013287883313339415656873078849864699294273209153353620718449252206254998602870362896133015086352804129938365011739269832067434393037512592255137270760501419722002202666034057650042988449<243>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2247381687
Step 1 took 11375ms
********** Factor found in step 2: 17880273307799815131273723113858179552931
Found prime factor of 41 digits: 17880273307799815131273723113858179552931
Composite cofactor 956026610989232652881198565857703944428233602840138583623013287883313339415656873078849864699294273209153353620718449252206254998602870362896133015086352804129938365011739269832067434393037512592255137270760501419722002202666034057650042988449 has 243 digits

GMP-ECM

55490354389148306295658157220821090773896227488256853752396489680181342478143736664974210857797643324649092871431623398062831728274832627218573731421135721083282698384953235503838545264869334088002153025750298954284271536500167858322027173626544365925592983799591036088151976982601<281>

192905628994032681688505057939037272788813469938173066737263139250842287856209046579655220141529382673093942955953379492876665981140131310917880115863716905452386190083413706472426085415750376416240674416102527052512962157985246315063578046349<243>

272231632926932600425302234742687229433657443913391661491874485560744585968990311122902262350992434628867986859352152134722374404951934802790247178432117918496704756939454327654682498823536243<192>

936670175422905631957428468837578223609337433861503981480882000338757090064366301181297878130298548022837743465978166812333067770561928169520518952328708959139861835962274865644922436920831066811931516859004952584555824557612185219559957321483044809585294297247428364977573<273>

2396098603881939304269441418825760266409<40>

390914703554101855246659454736455168506238467491568979123985281863246956117585774997278169121824987480212468066607932242564722530575817311580492512951269223320757136645495028914462510526799573458620916563816144335143112573301660055197<234>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1701274207
Step 1 took 21268ms
Step 2 took 7231ms
********** Factor found in step 2: 2396098603881939304269441418825760266409
Found probable prime factor of 40 digits: 2396098603881939304269441418825760266409
Composite cofactor 390914703554101855246659454736455168506238467491568979123985281863246956117585774997278169121824987480212468066607932242564722530575817311580492512951269223320757136645495028914462510526799573458620916563816144335143112573301660055197 has 234 digits