183664521939023378716244238266206912895619304918654390767006742265353761567902551159456353015060490799<102>

2688979071494676483681640285887549271586876167<46>
68302696694821408258285543946482591629752468711798207897<56>

N=183664521939023378716244238266206912895619304918654390767006742265353761567902551159456353015060490799
  ( 102 digits)
SNFS difficulty: 106 digits.
Divisors found:
p46 factor: 2688979071494676483681640285887549271586876167
p56 factor: 68302696694821408258285543946482591629752468711798207897
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.13 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 183664521939023378716244238266206912895619304918654390767006742265353761567902551159456353015060490799
m: 100000000000000000000000000
deg: 4
c4: 155
c0: 7
skew: 0.46
# Murphy_E = 1.794e-07
type: snfs
lss: 1
rlim: 410000
alim: 410000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 410000/410000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [205000, 345001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 34304 x 34529
Total sieving time: 0.13 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,106.000,4,0,0,0,0,0,0,0,0,410000,410000,25,25,44,44,2.2,2.2,20000
total time: 0.13 hours.
 --------- CPU info (if available) ----------

172222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<123>

6362130777701553199076783883163367127967943519913013<52>
27069896586508229469750753886640772610845393741534918574837209778469171<71>

N=172222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223
  ( 123 digits)
SNFS difficulty: 123 digits.
Divisors found:
p52 factor: 6362130777701553199076783883163367127967943519913013
p71 factor: 27069896586508229469750753886640772610845393741534918574837209778469171
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.76 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 172222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223
m: 1000000000000000000000000000000
deg: 4
c4: 1550
c0: 7
skew: 0.26
# Murphy_E = 2.566e-08
type: snfs
lss: 1
rlim: 790000
alim: 790000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 790000/790000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [395000, 770001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 77668 x 77893
Total sieving time: 0.75 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,123.000,4,0,0,0,0,0,0,0,0,790000,790000,25,25,46,46,2.2,2.2,75000
total time: 0.76 hours.
 --------- CPU info (if available) ----------

20292962907002390198126049089722032322639173613887237532667038902449104931542560266797317736910918803735283001608654591<119>

69028435397824582212842621789946458111<38>
293979760515358848742143546027198670274401931701558636849581397055562860496871681<81>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 20292962907002390198126049089722032322639173613887237532667038902449104931542560266797317736910918803735283001608654591 (119 digits)
Using B1=13670000, B2=46846578880, polynomial Dickson(12), sigma=1:2176059133
Step 1 took 20778ms
Step 2 took 10307ms
********** Factor found in step 2: 69028435397824582212842621789946458111
Found prime factor of 38 digits: 69028435397824582212842621789946458111
Prime cofactor 293979760515358848742143546027198670274401931701558636849581397055562860496871681 has 81 digits

12056037873817447802942559790012072926024761993035641536868762715617576573719098207112477723599852267654332526771<113>

61274533289021016470121991520146159256829783079217<50>
196754462689275379731665966286870501746166667107187032407363363<63>

CADO


STA:Thu 28 Jul 2022 16:36:49 AEST (12056037873817447802942559790012072926024761993035641536868762715617576573719098207112477723599852267654332526771 - C113)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 12056037873817447802942559790012072926024761993035641536868762715617576573719098207112477723599852267654332526771 2>&1 | tee -a log189

Debug:root: Looking for parameter file for c113 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.c115
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.anijx_up
Info:Database: Opened connection to database /tmp/cado.anijx_up/c115.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 12056037873817447802942559790012072926024761993035641536868762715617576573719098207112477723599852267654332526771
Debug:root: Root parameter dictionary:
N = 12056037873817447802942559790012072926024761993035641536868762715617576573719098207112477723599852267654332526771
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 12056037873817447802942559790012072926024761993035641536868762715617576573719098207112477723599852267654332526771
skew: 1459157.839
c0: 1115705443869041545731079517649
c1: -1220947648390782013957531
c2: -1920304626972432346
c3: 354432686574
c4: 327600
Y0: -437779384389265584466432382
Y1: 790659973880864567
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 3.22e-09
# f(x) = 327600*x^4+354432686574*x^3-1920304626972432346*x^2-1220947648390782013957531*x+1115705443869041545731079517649
# g(x) = 790659973880864567*x-437779384389265584466432382
===
Info:Square Root: finished
Info:Square Root: Factors: 61274533289021016470121991520146159256829783079217 196754462689275379731665966286870501746166667107187032407363363
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 248.38/35.7932
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 55681.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56380/38.180/42.808/48.140/0.652
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56380/36.990/41.955/43.930/1.028
Info:Polynomial Selection (size optimized): Total time: 1115.69
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 145.84
Info:Polynomial Selection (root optimized): Rootsieve time: 145.17
Info:Generate Factor Base: Total cpu/real time for makefb: 2.84/0.317808
Info:Generate Free Relations: Total cpu/real time for freerel: 53.12/3.50114
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6784531
Info:Lattice Sieving: Average J: 4096 for 52794 special-q, max bucket fill: 0.709179
Info:Lattice Sieving: Total CPU time: 48151.2s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 16.56/18.8712
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 89.65/27.5675
Info:Filtering - Singleton removal: Total cpu/real time for purge: 82.27/30.2118
Info:Filtering - Merging: Total cpu/real time for merge: 109.86/87.7549
Info:Filtering - Merging: Total cpu/real time for replay: 11.32/8.69015
Info:Linear Algebra: Total cpu/real time for bwc: 2974.66/0.000169992
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 119.03
Info:Linear Algebra: Lingen CPU time 71.47, WCT time 7.37
Info:Linear Algebra: Mksol: WCT time 71.88
Info:Quadratic Characters: Total cpu/real time for characters: 12.75/2.92186
Info:Square Root: Total cpu/real time for sqrt: 248.38/35.7932
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 53014.2/3702.56
Info:root: Cleaning up computation data in /tmp/cado.anijx_up
61274533289021016470121991520146159256829783079217 196754462689275379731665966286870501746166667107187032407363363

END:Thu 28 Jul 2022 17:38:32 AEST (12056037873817447802942559790012072926024761993035641536868762715617576573719098207112477723599852267654332526771 - C113)

172546039374316001061414178210469810916368971871733905242190240646844154647248713883567513374572282023896468725078577188031<123>

29272509544144842407766713483507371919615594323<47>
5894473759214439263711794859462575849199811310494602885947617087250745776997<76>

N=172546039374316001061414178210469810916368971871733905242190240646844154647248713883567513374572282023896468725078577188031
  ( 123 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=29272509544144842407766713483507371919615594323 (pp47)
 r2=5894473759214439263711794859462575849199811310494602885947617087250745776997 (pp76)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.36 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 172546039374316001061414178210469810916368971871733905242190240646844154647248713883567513374572282023896468725078577188031
m: 100000000000000000000000000000000
deg: 4
c4: 155
c0: 7
skew: 0.46
# Murphy_E = 1.335e-08
type: snfs
lss: 1
rlim: 1030000
alim: 1030000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1030000/1030000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [515000, 1015001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 126552 x 126779
Total sieving time: 1.33 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,130.000,4,0,0,0,0,0,0,0,0,1030000,1030000,26,26,47,47,2.3,2.3,100000
total time: 1.36 hours.
 --------- CPU info (if available) ----------

131243477810638008158338297036835772008227591162625680101671344208381900430695915078981823652933<96>

9112978958778638818699592731722198843257<40>
14401819471360639616878313824379020953258802012623002669<56>

N=131243477810638008158338297036835772008227591162625680101671344208381900430695915078981823652933
  ( 96 digits)
Divisors found:
p40 factor: 9112978958778638818699592731722198843257
p56 factor: 14401819471360639616878313824379020953258802012623002669
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.02 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 131243477810638008158338297036835772008227591162625680101671344208381900430695915078981823652933
skew: 426440.12
c0: -128104245618871955135258918
c1: -384700523844614598154
c2: 1817721999613145
c3: 1134645820
c4: 8400
Y0: -62870780078019229808259
Y1: 3266708765899
rlim: 1560000
alim: 1560000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 50/50
Sieved algebraic special-q in [780000, 980001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 124211 x 124437
Total sieving time: 1.00 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:
gnfs,95,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1560000,1560000,25,25,50,50,2.5,2.5,60000
total time: 1.02 hours.
 --------- CPU info (if available) ----------

509524069804892894812600375995651304880108913583837109408556761480320965886263819118326366539<93>

167785840783885049198952099836942743859<39>
3036752490105410681266549217468904656668952646963824521<55>

PRP39 = 167785840783885049198952099836942743859
PRP55 = 3036752490105410681266549217468904656668952646963824521

3497175428137295801624778614562835348897884224417173518478200385350511446333529483389494221708981619<100>

13838002727516226352165132274691799536733655332939<50>
252722556643476065279638743500859639838562870464121<51>

prp51 = 252722556643476065279638743500859639838562870464121
prp50 = 13838002727516226352165132274691799536733655332939

Yafu

29191864567854919123629624720913923567060089731538161763143706291056350097635800412026217351670589109565064929059461292971263895994722411<137>

2665785254581306324793828914675714923453369059054099<52>
10950568699293016750493759648192704803590959123048843153578355752413670805634603932489<86>

Number: n
N=29191864567854919123629624720913923567060089731538161763143706291056350097635800412026217351670589109565064929059461292971263895994722411  ( 137 digits)
SNFS difficulty: 156 digits.
Divisors found:

Wed Aug 10 19:23:40 2022  p52 factor: 2665785254581306324793828914675714923453369059054099
Wed Aug 10 19:23:40 2022  p86 factor: 10950568699293016750493759648192704803590959123048843153578355752413670805634603932489
Wed Aug 10 19:23:40 2022  elapsed time 00:05:25 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 31x10^155+14 = 34(154)6
#
n: 29191864567854919123629624720913923567060089731538161763143706291056350097635800412026217351670589109565064929059461292971263895994722411
m: 10000000000000000000000000000000
deg: 5
c5: 31
c0: 14
skew: 0.85
# Murphy_E = 7.977e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 14200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1276550 hash collisions in 12651654 relations (12144608 unique)
Msieve: matrix is 368931 x 369157 (124.7 MB)

Sieving start time : 2022/08/10 18:14:44
Sieving end time  : 2022/08/10 19:17:32

Total sieving time: 1hrs 2min 48secs.

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

Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

3191654413774795990759127122546208050293080453036272465568478507402491707649182965829178062718415036307215787<109>

3915351558706692777763725362248201<34>
815164198136285298354466658616819331092766771298217336039187689786388762387<75>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1551321420
Step 1 took 3484ms
********** Factor found in step 1: 3915351558706692777763725362248201
Found prime factor of 34 digits: 3915351558706692777763725362248201
Prime cofactor 815164198136285298354466658616819331092766771298217336039187689786388762387 has 75 digits
 

GMP-ECM

23820500998924235438758260335023820500998924235438758260335023820500998924235438758260335023820500998924235438758260335023820500998924235438758260335023820501<158>

11021241638730690871211653092711066052323493640216253298964474763596231927543<77>
2161326443947528476868828873756658272110033989506012565575262450007121342644373907<82>

Number: n
N=23820500998924235438758260335023820500998924235438758260335023820500998924235438758260335023820500998924235438758260335023820500998924235438758260335023820501  ( 158 digits)
SNFS difficulty: 161 digits.
Divisors found:

Fri Jul 29 16:36:47 2022  p77 factor: 11021241638730690871211653092711066052323493640216253298964474763596231927543
Fri Jul 29 16:36:47 2022  p82 factor: 2161326443947528476868828873756658272110033989506012565575262450007121342644373907
Fri Jul 29 16:36:47 2022  elapsed time 00:07:41 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 31x10^160+14 = 34(159)6
#
n: 23820500998924235438758260335023820500998924235438758260335023820500998924235438758260335023820500998924235438758260335023820500998924235438758260335023820501
m: 100000000000000000000000000000000
deg: 5
c5: 31
c0: 14
skew: 0.85
# Murphy_E = 5.11e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 981742 hash collisions in 10898321 relations (10597400 unique)
Msieve: matrix is 483765 x 483993 (167.7 MB)

Sieving start time : 2022/07/29 15:50:22
Sieving end time  : 2022/07/29 16:28:36

Total sieving time: 0hrs 38min 14secs.

Total relation processing time: 0hrs 3min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 25sec.

Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

75031832012693217314564357752762552245814311735255902525498370020583264641691125712692881849663810679216752290330939706554571239575579489354553865107743363<155>

11450570358684347680952113661004282883933294762834249698092311<62>
6552672020899599577223253346868940951946401878342511864887072791706767560726528929156911606133<94>

Number: n
N=75031832012693217314564357752762552245814311735255902525498370020583264641691125712692881849663810679216752290330939706554571239575579489354553865107743363  ( 155 digits)
SNFS difficulty: 163 digits.
Divisors found:

Fri Jul 29 20:23:51 2022  p62 factor: 11450570358684347680952113661004282883933294762834249698092311
Fri Jul 29 20:23:51 2022  p94 factor: 6552672020899599577223253346868940951946401878342511864887072791706767560726528929156911606133
Fri Jul 29 20:23:51 2022  elapsed time 00:13:59 (Msieve 1.54 - dependency 9)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 31x10^162+14 = 34(161)6
#
n: 75031832012693217314564357752762552245814311735255902525498370020583264641691125712692881849663810679216752290330939706554571239575579489354553865107743363
m: 100000000000000000000000000000000
deg: 5
c5: 1550
c0: 7
skew: 0.34
# Murphy_E = 3.656e-10
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1051142 hash collisions in 10789438 relations (10393432 unique)
Msieve: matrix is 583177 x 583402 (202.4 MB)

Sieving start time : 2022/07/29 19:37:33
Sieving end time  : 2022/07/29 20:09:27

Total sieving time: 0hrs 31min 54secs.

Total relation processing time: 0hrs 5min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 13sec.

Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

11513574808809247459857171389532637952543298890748439218845341398402393904265871102399563844790351249777422649273345134782315497207337029804750338037<149>

659617507894684456491874955987186398884449<42>
17454926030628529771630826226154585195777664649219913674971935126189664930932729704495070988061903484769813<107>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 11513574808809247459857171389532637952543298890748439218845341398402393904265871102399563844790351249777422649273345134782315497207337029804750338037 (149 digits)
Using B1=15980000, B2=58558467250, polynomial Dickson(12), sigma=1:11336770
Step 1 took 30345ms
Step 2 took 14429ms
********** Factor found in step 2: 659617507894684456491874955987186398884449
Found prime factor of 42 digits: 659617507894684456491874955987186398884449
Prime cofactor 17454926030628529771630826226154585195777664649219913674971935126189664930932729704495070988061903484769813 has 107 digits

214231281671259482769469560994493257709078536034852849245395413634844364943370361636372013441503452233243802446166585593613<123>

1208166814910540755874377963982745067963713329<46>
177319289875647124449976733533998533964945773586478383587164000394672488138397<78>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 214231281671259482769469560994493257709078536034852849245395413634844364943370361636372013441503452233243802446166585593613 (123 digits)
Using B1=31460000, B2=144290666536, polynomial Dickson(12), sigma=1:2846680387
Step 1 took 47723ms
Step 2 took 18170ms
********** Factor found in step 2: 1208166814910540755874377963982745067963713329
Found prime factor of 46 digits: 1208166814910540755874377963982745067963713329
Prime cofactor 177319289875647124449976733533998533964945773586478383587164000394672488138397 has 78 digits

69996839383524002704938248700333959062437458208459992921554286237033369064550620931314087930534576492506252389442344198270627943502785909485581289<146>

475703493392783484151438788038133011927<39>
147143841396448043339918624486417988973754270364602963959179635116820639272772021362893298851593449321401407<108>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 69996839383524002704938248700333959062437458208459992921554286237033369064550620931314087930534576492506252389442344198270627943502785909485581289 (146 digits)
Using B1=11190000, B2=35133715900, polynomial Dickson(12), sigma=1:919813581
Step 1 took 22881ms
Step 2 took 10354ms
********** Factor found in step 2: 475703493392783484151438788038133011927
Found prime factor of 39 digits: 475703493392783484151438788038133011927
Prime cofactor 147143841396448043339918624486417988973754270364602963959179635116820639272772021362893298851593449321401407 has 108 digits

1236172380113070257387813321507812719241860489551965030091897353759851878911022712342191056468615563960234480303619120306669757<127>

466309690643517055359295601792219349264388166300330335457<57>
2650968669356038270262120103000309483280208403441976432290469018839901<70>

1236172380113070257387813321507812719241860489551965030091897353759851878911022712342191056468615563960234480303619120306669757=466309690643517055359295601792219349264388166300330335457*2650968669356038270262120103000309483280208403441976432290469018839901

cado polynomial
n: 1236172380113070257387813321507812719241860489551965030091897353759851878911022712342191056468615563960234480303619120306669757
skew: 0.54
type: snfs
c0: 7
c5: 155
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 155*x^5+7
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4300000
tasks.lim1 = 4300000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2650968669356038270262120103000309483280208403441976432290469018839901 466309690643517055359295601792219349264388166300330335457
Info:Square Root: Total cpu/real time for sqrt: 133/42.1062
Info:Generate Factor Base: Total cpu/real time for makefb: 1.84/1.06243
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11628626
Info:Lattice Sieving: Average J: 1893.31 for 441953 special-q, max bucket fill -bkmult 1.0,1s:1.263360
Info:Lattice Sieving: Total time: 54438.1s
Info:Linear Algebra: Total cpu/real time for bwc: 5755.9/1480.03
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3596.05, WCT time 919.18, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (19456 iterations)
Info:Linear Algebra: Lingen CPU time 105.94, WCT time 26.92
Info:Linear Algebra: Mksol: CPU time 1961.72,  WCT time 500.75, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9728 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 59.97/16.7428
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 103.44/88.2635
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 80.0s
Info:Quadratic Characters: Total cpu/real time for characters: 20.23/8.03639
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.88/47.4688
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 47.4s
Info:Square Root: Total cpu/real time for sqrt: 133/42.1062
Info:Filtering - Singleton removal: Total cpu/real time for purge: 60.79/61.05
Info:Filtering - Merging: Merged matrix has 618048 rows and total weight 105164888 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 131.17/36.5125
Info:Filtering - Merging: Total cpu/real time for replay: 20.63/17.1807
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 106703/29200.3
Info:root: Cleaning up computation data in /tmp/cado.aygfosuq
2650968669356038270262120103000309483280208403441976432290469018839901 466309690643517055359295601792219349264388166300330335457

cado-nfs-3.0.0

Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

21451047841427157922613642909229666906294461558939447403003260505682672474731937853379398385090504203462697120521770314809475601<128>

66933301613605135671247790287339053493991474946453942113860163<62>
320483934368881192543320494413093505650174165919445200773345222427<66>

Number: n
N=21451047841427157922613642909229666906294461558939447403003260505682672474731937853379398385090504203462697120521770314809475601  ( 128 digits)
SNFS difficulty: 174 digits.
Divisors found:

Sun Aug  7 06:58:20 2022  p62 factor: 66933301613605135671247790287339053493991474946453942113860163
Sun Aug  7 06:58:20 2022  p66 factor: 320483934368881192543320494413093505650174165919445200773345222427
Sun Aug  7 06:58:20 2022  elapsed time 00:23:34 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 31x10^173+14 = 34(172)6
#
n: 21451047841427157922613642909229666906294461558939447403003260505682672474731937853379398385090504203462697120521770314809475601
m: 10000000000000000000000000000000000
deg: 5
c5: 15500
c0: 7
skew: 0.21
# Murphy_E = 1.167e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 37200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1586700 hash collisions in 13633961 relations (12838485 unique)
Msieve: matrix is 1027980 x 1028205 (355.3 MB)

Sieving start time : 2022/08/07 02:30:59
Sieving end time  : 2022/08/07 06:23:19

Total sieving time: 3hrs 52min 20secs.

Total relation processing time: 0hrs 17min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 43sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

14419174867007318604656821692035636994970706621359357648205161694202108090996873213544512528178182504775469187601598118594904312433<131>

2437642129987790920687382325129339024704038876277<49>
5915214005215580156385632197318745087839400298294788514579516273160926776255385229<82>

14419174867007318604656821692035636994970706621359357648205161694202108090996873213544512528178182504775469187601598118594904312433=2437642129987790920687382325129339024704038876277*5915214005215580156385632197318745087839400298294788514579516273160926776255385229

cado polynomial
n: 14419174867007318604656821692035636994970706621359357648205161694202108090996873213544512528178182504775469187601598118594904312433
skew: 0.68
type: snfs
c0: 35
c5: 248
Y0: 50000000000000000000000000000000000
Y1: -1
# f(x) = 248*x^5+35
# g(x) = -x+50000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6000000
tasks.lim1 = 6000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
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: 5915214005215580156385632197318745087839400298294788514579516273160926776255385229 2437642129987790920687382325129339024704038876277
Info:Square Root: Total cpu/real time for sqrt: 587/177.798
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22447429
Info:Lattice Sieving: Average J: 1893.22 for 906963 special-q, max bucket fill -bkmult 1.0,1s:1.221780
Info:Lattice Sieving: Total time: 141428s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.57/1.47788
Info:Generate Free Relations: Total cpu/real time for freerel: 120.26/31.2551
Info:Linear Algebra: Total cpu/real time for bwc: 9586.19/2464.67
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6034.06, WCT time 1544.24, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25088 iterations)
Info:Linear Algebra: Lingen CPU time 149.78, WCT time 38.04
Info:Linear Algebra: Mksol: CPU time 3277.48,  WCT time 837.07, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 211.35/176.923
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 161.10000000000002s
Info:Square Root: Total cpu/real time for sqrt: 587/177.798
Info:Quadratic Characters: Total cpu/real time for characters: 25.42/10.2018
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.26/95.5735
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 95.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 148.96/139.007
Info:Filtering - Merging: Merged matrix has 795875 rows and total weight 135863329 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 185.1/50.9594
Info:Filtering - Merging: Total cpu/real time for replay: 26.71/22.4567
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 273855/74065.1
Info:root: Cleaning up computation data in /tmp/cado.y2eyf99q
5915214005215580156385632197318745087839400298294788514579516273160926776255385229 2437642129987790920687382325129339024704038876277

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-122-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.9)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

1447800214983847235481890257200611141181537181832292224118689917056181902059269284625983221722928827807955959404540259475056798084418411376888871<145>

405167693974547893862854454063470868801955437513192214130137950977<66>
3573335773100399650428448678739086880912064092625469701471978845298730752573223<79>

Number: n
N=1447800214983847235481890257200611141181537181832292224118689917056181902059269284625983221722928827807955959404540259475056798084418411376888871  ( 145 digits)
SNFS difficulty: 178 digits.
Divisors found:

Fri Aug  5 04:10:21 2022  p66 factor: 405167693974547893862854454063470868801955437513192214130137950977
Fri Aug  5 04:10:21 2022  p79 factor: 3573335773100399650428448678739086880912064092625469701471978845298730752573223
Fri Aug  5 04:10:21 2022  elapsed time 00:23:38 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 31x10^177+14 = 34(176)6
#
n: 1447800214983847235481890257200611141181537181832292224118689917056181902059269284625983221722928827807955959404540259475056798084418411376888871
m: 100000000000000000000000000000000000
deg: 5
c5: 1550
c0: 7
skew: 0.34
# Murphy_E = 9.311e-11
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1919014 hash collisions in 12873573 relations (11570504 unique)
Msieve: matrix is 1050238 x 1050463 (364.6 MB)

Sieving start time : 2022/08/05 02:05:21
Sieving end time  : 2022/08/05 03:46:23

Total sieving time: 1hrs 41min 2secs.

Total relation processing time: 0hrs 17min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 43sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

315483096212167470639718304125704748529441696688445177179377582381795607661150800919989416050965785349372086869797073131017076794691742484378498300462030082839754940872361645397<177>

4445068446182213893963257191858078012098428037002896704785473803<64>
70973731908027197694056023719229773565164055548378827473329290192468835384345590968884731682276957111902442266399<113>

Number: 34446_180
N = 315483096212167470639718304125704748529441696688445177179377582381795607661150800919989416050965785349372086869797073131017076794691742484378498300462030082839754940872361645397 (177 digits)
SNFS difficulty: 182 digits.
Divisors found:
r1=4445068446182213893963257191858078012098428037002896704785473803 (pp64)
r2=70973731908027197694056023719229773565164055548378827473329290192468835384345590968884731682276957111902442266399 (pp113)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 11.62 hours.
Factorization parameters were as follows:
n: 315483096212167470639718304125704748529441696688445177179377582381795607661150800919989416050965785349372086869797073131017076794691742484378498300462030082839754940872361645397
m: 1000000000000000000000000000000000000
deg: 5
c5: 31
c0: 14
skew: 0.85
# Murphy_E = 8.205e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18742903
Relations: 2664368 relations
Pruned matrix : 1565462 x 1565693
Total sieving time: 10.45 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.96 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: snfs,182,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 11.62 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 3.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

8419679198893939459830176998161477308292471846310454122336184625614099565751505611879177668453539369380261743315833937771121142165338012001362716884895135816229<160>

1934674511353729956820132052450819442019241<43>
94498783371484359153604873708647131750481181<44>
46053370187963723824452552896732031427881608996730618141048352823097902849<74>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 8419679198893939459830176998161477308292471846310454122336184625614099565751505611879177668453539369380261743315833937771121142165338012001362716884895135816229 (160 digits)
Using B1=15050000, B2=46847553490, polynomial Dickson(12), sigma=1:909510951
Step 1 took 34745ms
Step 2 took 13547ms
********** Factor found in step 2: 1934674511353729956820132052450819442019241
Found prime factor of 43 digits: 1934674511353729956820132052450819442019241
Composite cofactor 4351987452919159860698307461743829403614376158223511138545543594291510670066973096913271626405054967843774427740784669 has 118 digits


CADO

STA:Mon 08 Aug 2022 04:58:29 AEST (4,351,987,452,919,159,860,698,307,461,743,829,403,614,376,158,223,511,138,545,543,594,291,510,670,066,973,096,913,271,626,405,054,967,843,774,427,740,784,669 - C118)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 4351987452919159860698307461743829403614376158223511138545543594291510670066973096913271626405054967843774427740784669 2>&1 | tee -a log199

Debug:root: Looking for parameter file for c118 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.c120
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.e3btewll
Info:Database: Opened connection to database /tmp/cado.e3btewll/c120.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 4351987452919159860698307461743829403614376158223511138545543594291510670066973096913271626405054967843774427740784669
Debug:root: Root parameter dictionary:
N = 4351987452919159860698307461743829403614376158223511138545543594291510670066973096913271626405054967843774427740784669
lim0 = 5667620
lim1 = 18220697
lpb0 = 26
lpb1 = 27
name = c120
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 4351987452919159860698307461743829403614376158223511138545543594291510670066973096913271626405054967843774427740784669
skew: 158823.111
c0: -47528566148974760370037461256
c1: 451786170926512673612514
c2: 7751842715609196751
c3: -53917495144491
c4: -302550498
c5: 360
Y0: -119878157732209651662183
Y1: 3322067689900157
# MurphyE (Bf=1.82e+07,Bg=5.67e+06,area=2.45e+15) = 2.37e-09
# f(x) = 360*x^5-302550498*x^4-53917495144491*x^3+7751842715609196751*x^2+451786170926512673612514*x-47528566148974760370037461256
# g(x) = 3322067689900157*x-119878157732209651662183
===
Info:Square Root: finished
Info:Square Root: Factors: 94498783371484359153604873708647131750481181 46053370187963723824452552896732031427881608996730618141048352823097902849
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 690.83/98.5328
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 10356.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10593/33.390/41.965/47.750/1.044
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10593/33.240/37.249/42.490/1.059
Info:Polynomial Selection (size optimized): Total time: 1170.88
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 294.24
Info:Polynomial Selection (root optimized): Rootsieve time: 293.36
Info:Generate Factor Base: Total cpu/real time for makefb: 23.3/2.07665
Info:Generate Free Relations: Total cpu/real time for freerel: 150.94/10.0495
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 9931241
Info:Lattice Sieving: Average J: 8186.48 for 14067 special-q, max bucket fill: 0.606105
Info:Lattice Sieving: Total CPU time: 45833.1s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 24.65/31.3994
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 31.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 146.27/51.1362
Info:Filtering - Singleton removal: Total cpu/real time for purge: 67.31/35.8045
Info:Filtering - Merging: Total cpu/real time for merge: 420.51/344.529
Info:Filtering - Merging: Total cpu/real time for replay: 33.68/25.8393
Info:Linear Algebra: Total cpu/real time for bwc: 15499.1/0.000314951
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 822.04
Info:Linear Algebra: Lingen CPU time 455.01, WCT time 42.05
Info:Linear Algebra: Mksol: WCT time 406.46
Info:Quadratic Characters: Total cpu/real time for characters: 31.97/7.47816
Info:Square Root: Total cpu/real time for sqrt: 690.83/98.5328
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 64386.8/5133.86
Info:root: Cleaning up computation data in /tmp/cado.e3btewll
94498783371484359153604873708647131750481181 46053370187963723824452552896732031427881608996730618141048352823097902849

END:Mon 08 Aug 2022 06:24:04 AEST (4,351,987,452,919,159,860,698,307,461,743,829,403,614,376,158,223,511,138,545,543,594,291,510,670,066,973,096,913,271,626,405,054,967,843,774,427,740,784,669 - C118)

4117858687223988516602397399740460187131911735180405807997176303003669976200585988984700913508985760228671249595251352522840143553899082872558827401769499190040707867803995751<175>

70544370241077779918747499533382389092964823482299907<53>
58372605399291968995796490773801924154414261181461859436830905808018025423202379107899237120861302156524918297345131289293<122>

Number: n
N=4117858687223988516602397399740460187131911735180405807997176303003669976200585988984700913508985760228671249595251352522840143553899082872558827401769499190040707867803995751  ( 175 digits)
SNFS difficulty: 184 digits.
Divisors found:

Sat Aug  6 01:36:16 2022  p53 factor: 70544370241077779918747499533382389092964823482299907
Sat Aug  6 01:36:16 2022  p122 factor: 58372605399291968995796490773801924154414261181461859436830905808018025423202379107899237120861302156524918297345131289293
Sat Aug  6 01:36:16 2022  elapsed time 00:21:25 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 31x10^183+14 = 34(182)6
#
n: 4117858687223988516602397399740460187131911735180405807997176303003669976200585988984700913508985760228671249595251352522840143553899082872558827401769499190040707867803995751
m: 1000000000000000000000000000000000000
deg: 5
c5: 15500
c0: 7
skew: 0.21
# Murphy_E = 4.621e-11
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 15400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1925487 hash collisions in 12331807 relations (10976273 unique)
Msieve: matrix is 1017044 x 1017269 (353.2 MB)

Sieving start time : 2022/08/05 20:53:28
Sieving end time  : 2022/08/06 01:14:30

Total sieving time: 4hrs 21min 2secs.

Total relation processing time: 0hrs 16min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 27sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,51,51,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

97808673458727467694100639888036265203505237404360942096781413802269416818751392776748928906431634806787943380473412689859895586406385524010399741600514511494416088659133441<173>

157288734339238893667013000145151555868251590142610477558749140941558728094035067317619<87>
621841569706922693843828889656476856502979953775337127730251760179679559776117950327739<87>

Number: n
N=97808673458727467694100639888036265203505237404360942096781413802269416818751392776748928906431634806787943380473412689859895586406385524010399741600514511494416088659133441  ( 173 digits)
SNFS difficulty: 185 digits.
Divisors found:

Sat Aug  6 21:00:35 2022  p87 factor: 157288734339238893667013000145151555868251590142610477558749140941558728094035067317619
Sat Aug  6 21:00:35 2022  p87 factor: 621841569706922693843828889656476856502979953775337127730251760179679559776117950327739
Sat Aug  6 21:00:35 2022  elapsed time 00:23:15 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 31x10^184+14 = 34(183)6
#
n: 97808673458727467694100639888036265203505237404360942096781413802269416818751392776748928906431634806787943380473412689859895586406385524010399741600514511494416088659133441
m: 5000000000000000000000000000000000000
deg: 5
c5: 248
c0: 35
skew: 0.68
# Murphy_E = 5.309e-11
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 15700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1732427 hash collisions in 12292103 relations (11180875 unique)
Msieve: matrix is 957686 x 957911 (334.7 MB)

Sieving start time : 2022/08/06 17:02:02
Sieving end time  : 2022/08/06 20:37:02

Total sieving time: 3hrs 35min 0secs.

Total relation processing time: 0hrs 14min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 40sec.

Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,51,51,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

143102220251910879323154398845697216122412737356319047866889474013060799399507444030850438060964631187925365272809250285868111687944940176186010724254292679<156>

2819665617694267047460367670800644136118407579318105462931447553309<67>
50751486046395193870783565036174806767799374366407304180201236312791856146280628111418931<89>

143102220251910879323154398845697216122412737356319047866889474013060799399507444030850438060964631187925365272809250285868111687944940176186010724254292679=2819665617694267047460367670800644136118407579318105462931447553309*50751486046395193870783565036174806767799374366407304180201236312791856146280628111418931

cado polynomial
n: 143102220251910879323154398845697216122412737356319047866889474013060799399507444030850438060964631187925365272809250285868111687944940176186010724254292679
skew: 0.85
type: snfs
c0: 14
c5: 31
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 31*x^5+14
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9000000
tasks.lim1 = 9000000
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: 2819665617694267047460367670800644136118407579318105462931447553309 50751486046395193870783565036174806767799374366407304180201236312791856146280628111418931
Info:Square Root: Total cpu/real time for sqrt: 465.8/148.784
Info:Generate Factor Base: Total cpu/real time for makefb: 3.84/2.09585
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23776574
Info:Lattice Sieving: Average J: 1894.81 for 1487195 special-q, max bucket fill -bkmult 1.0,1s:1.171440
Info:Lattice Sieving: Total time: 268178s
Info:Linear Algebra: Total cpu/real time for bwc: 52837.1/13788.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 34165.4, WCT time 8939.58, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (55296 iterations)
Info:Linear Algebra: Lingen CPU time 350.28, WCT time 88.9
Info:Linear Algebra: Mksol: CPU time 17991.84,  WCT time 4632.52, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27648 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 119.21/31.1632
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 356.13/349.839
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 289.2s
Info:Quadratic Characters: Total cpu/real time for characters: 64.46/27.8406
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 98.01/106.479
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 106.00s
Info:Square Root: Total cpu/real time for sqrt: 465.8/148.784
Info:Filtering - Singleton removal: Total cpu/real time for purge: 243/282.513
Info:Filtering - Merging: Merged matrix has 1764172 rows and total weight 301457875 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 466.87/128.493
Info:Filtering - Merging: Total cpu/real time for replay: 69.3/59.3953
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 556533/148955
Info:root: Cleaning up computation data in /tmp/cado.dw5lzkj3
2819665617694267047460367670800644136118407579318105462931447553309 50751486046395193870783565036174806767799374366407304180201236312791856146280628111418931

cado-nfs-3.0.0

Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

492882350868255361744129757011346366399784571103699102522521777925514863760206256118475025448096426763968055385161603787336509562004535363535088390193663499796885826828101<171>

9793901679222103955175966664058570276743559<43>
22610751137450052368587898606144990309336313569<47>
2225730296234754161106401289723748784396964281701369910664805337019360191933850931<82>

Number: n
N=492882350868255361744129757011346366399784571103699102522521777925514863760206256118475025448096426763968055385161603787336509562004535363535088390193663499796885826828101  ( 171 digits)
SNFS difficulty: 190 digits.
Divisors found:

Wed Aug 10 17:08:18 2022  found factor: 2225730296234754161106401289723748784396964281701369910664805337019360191933850931
Wed Aug 10 17:09:45 2022  p43 factor: 9793901679222103955175966664058570276743559
Wed Aug 10 17:09:45 2022  p47 factor: 22610751137450052368587898606144990309336313569
Wed Aug 10 17:09:45 2022  p82 factor: 2225730296234754161106401289723748784396964281701369910664805337019360191933850931
Wed Aug 10 17:09:45 2022  elapsed time 00:32:31 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 31x10^189+14 = 34(188)6
#
n: 492882350868255361744129757011346366399784571103699102522521777925514863760206256118475025448096426763968055385161603787336509562004535363535088390193663499796885826828101
m: 50000000000000000000000000000000000000
deg: 5
c5: 248
c0: 35
skew: 0.68
# Murphy_E = 3.312e-11
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 22800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2060724 hash collisions in 12087493 relations (10530552 unique)
Msieve: matrix is 1183401 x 1183626 (414.3 MB)

Sieving start time : 2022/08/10 10:50:13
Sieving end time  : 2022/08/10 16:36:55

Total sieving time: 5hrs 46min 42secs.

Total relation processing time: 0hrs 23min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 46sec.

Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,51,51,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

14453349568377497955629332163932344998883734175473659391214838463068086774520821651166439836385264885231135530501491490988047899401846923918411360797256665148064567061991<170>

10575698926094445966941308293361429214286799404491<50>
1366656678615854797088487099859285396219289555389568287895506538790186336677891150799364539620421011743440073388558732501<121>

Number: n
N=14453349568377497955629332163932344998883734175473659391214838463068086774520821651166439836385264885231135530501491490988047899401846923918411360797256665148064567061991  ( 170 digits)
SNFS difficulty: 193 digits.
Divisors found:

Fri Aug 12 12:12:18 2022  p50 factor: 10575698926094445966941308293361429214286799404491
Fri Aug 12 12:12:18 2022  p121 factor: 1366656678615854797088487099859285396219289555389568287895506538790186336677891150799364539620421011743440073388558732501
Fri Aug 12 12:12:18 2022  elapsed time 01:00:12 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 31x10^192+14 = 34(191)6
#
n: 14453349568377497955629332163932344998883734175473659391214838463068086774520821651166439836385264885231135530501491490988047899401846923918411360797256665148064567061991
m: 100000000000000000000000000000000000000
deg: 5
c5: 1550
c0: 7
skew: 0.34
# Murphy_E = 2.277e-11
type: snfs
lss: 1
rlim: 11600000
alim: 11600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11600000/11600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 33000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3475200 hash collisions in 28604166 relations (26736705 unique)
Msieve: matrix is 1593257 x 1593482 (555.6 MB)

Sieving start time : 2022/08/12 01:31:38
Sieving end time  : 2022/08/12 11:11:08

Total sieving time: 9hrs 39min 30secs.

Total relation processing time: 0hrs 49min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 12sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11600000,11600000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

1865460546045100041084234447563479136155616128712938031118460641517099893236731049066157465596636113008282261724571732849598978560925027525246025645533622779737899519369<169>

132650087707401003354212394581494481024753919834726343<54>
14063017810888485368830254613139569014858616704227380396887304938813206462104088035370078595186231675936595831310383<116>

Number: n
N=1865460546045100041084234447563479136155616128712938031118460641517099893236731049066157465596636113008282261724571732849598978560925027525246025645533622779737899519369  ( 169 digits)
SNFS difficulty: 195 digits.
Divisors found:

Wed Aug 17 02:00:43 2022  p54 factor: 132650087707401003354212394581494481024753919834726343
Wed Aug 17 02:00:43 2022  p116 factor: 14063017810888485368830254613139569014858616704227380396887304938813206462104088035370078595186231675936595831310383
Wed Aug 17 02:00:43 2022  elapsed time 01:06:25 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 31x10^194+14 = 34(193)6
#
n: 1865460546045100041084234447563479136155616128712938031118460641517099893236731049066157465596636113008282261724571732849598978560925027525246025645533622779737899519369
m: 500000000000000000000000000000000000000
deg: 5
c5: 248
c0: 35
skew: 0.68
# Murphy_E = 2.058e-11
type: snfs
lss: 1
rlim: 12900000
alim: 12900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3405343 hash collisions in 27806936 relations (25946498 unique)
Msieve: matrix is 1703152 x 1703377 (596.3 MB)

Sieving start time : 2022/08/16 18:51:03
Sieving end time  : 2022/08/17 00:53:48

Total sieving time: 6hrs 2min 45secs.

Total relation processing time: 0hrs 56min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 16sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12900000,12900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

9198829225774530884470827181356352392251073132240254640243239812516700463059683540194942929913071805122739116692484031525966860808214928259295079194051<151>

1959905565947379816022011994891691446018523856421911317573717<61>
4693506353367590799671664073940047037857988456406465864888691271434033902816542899377163703<91>

9198829225774530884470827181356352392251073132240254640243239812516700463059683540194942929913071805122739116692484031525966860808214928259295079194051=1959905565947379816022011994891691446018523856421911317573717*4693506353367590799671664073940047037857988456406465864888691271434033902816542899377163703

cado polynomial
n: 9198829225774530884470827181356352392251073132240254640243239812516700463059683540194942929913071805122739116692484031525966860808214928259295079194051
skew: 0.85
type: snfs
c0: 14
c5: 31
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 31*x^5+14
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13200000
tasks.lim1 = 13200000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1959905565947379816022011994891691446018523856421911317573717 4693506353367590799671664073940047037857988456406465864888691271434033902816542899377163703
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 1161.15/211.304
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 953.2/849.227
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 551.9999999999999s
Info:Linear Algebra: Total cpu/real time for bwc: 120437/31339
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 77331.81, WCT time 20080.32, iteration CPU time 0.21, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (86016 iterations)
Info:Linear Algebra: Lingen CPU time 501.32, WCT time 128.93
Info:Linear Algebra: Mksol: CPU time 41538.16,  WCT time 10774.33, iteration CPU time 0.23, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (43008 iterations)
Info:Square Root: Total cpu/real time for sqrt: 1161.15/211.304
Info:Generate Factor Base: Total cpu/real time for makefb: 8.59/2.37305
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 231.31/186.281
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 185.0s
Info:Quadratic Characters: Total cpu/real time for characters: 123.39/31.7383
Info:Filtering - Singleton removal: Total cpu/real time for purge: 683.21/556.79
Info:Filtering - Merging: Merged matrix has 2743822 rows and total weight 468614672 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1729.69/238.464
Info:Filtering - Merging: Total cpu/real time for replay: 101.28/88.921
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29690964
Info:Lattice Sieving: Average J: 1893.97 for 3731892 special-q, max bucket fill -bkmult 1.0,1s:1.123210
Info:Lattice Sieving: Total time: 1.3634e+06s
Info:Generate Free Relations: Total cpu/real time for freerel: 174.26/22.483
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 2.6779e+06/374044
Info:root: Cleaning up computation data in /tmp/cado.n6jfknj5
1959905565947379816022011994891691446018523856421911317573717 4693506353367590799671664073940047037857988456406465864888691271434033902816542899377163703

cado-nfs-3.0.0

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

143165551872501201338624934459454720770329873983599966639315717025261721610235236953083525833109489607806137278694720945571736305030657502883881113693689910400789077<165>

79529600310965172362107856123624735794238062673634100823071<59>
1800154298685217951172729985149021854419171308177403091784066320507202187103647211472942888992660299358987<106>

Number: n
N=143165551872501201338624934459454720770329873983599966639315717025261721610235236953083525833109489607806137278694720945571736305030657502883881113693689910400789077  ( 165 digits)
SNFS difficulty: 197 digits.
Divisors found:

Wed Sep  7 09:34:10 2022  p59 factor: 79529600310965172362107856123624735794238062673634100823071
Wed Sep  7 09:34:10 2022  p106 factor: 1800154298685217951172729985149021854419171308177403091784066320507202187103647211472942888992660299358987
Wed Sep  7 09:34:10 2022  elapsed time 01:21:04 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.305).
Factorization parameters were as follows:
#
# N = 31x10^196+14 = 34(195)6
#
n: 143165551872501201338624934459454720770329873983599966639315717025261721610235236953083525833109489607806137278694720945571736305030657502883881113693689910400789077
m: 1000000000000000000000000000000000000000
deg: 5
c5: 155
c0: 7
skew: 0.54
# Murphy_E = 1.767e-11
type: snfs
lss: 1
rlim: 13500000
alim: 13500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13500000/13500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3734248 hash collisions in 28750836 relations (26563165 unique)
Msieve: matrix is 1815337 x 1815562 (632.6 MB)

Sieving start time : 2022/09/07 04:16:01
Sieving end time  : 2022/09/07 08:12:30

Total sieving time: 3hrs 56min 29secs.

Total relation processing time: 1hrs 10min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 21sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13500000,13500000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

9064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380117<196>

11251779969879951707768470833328076835915518113<47>
805590538532084957528100523085093478496951652782070341350045975598415008462850064908484524721247870599748039382079917287504362219665429960364241726709<150>

Number: n
N=9064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380117  ( 196 digits)
SNFS difficulty: 198 digits.
Divisors found:

Sat Aug 20 18:49:47 2022  p47 factor: 11251779969879951707768470833328076835915518113
Sat Aug 20 18:49:47 2022  p150 factor: 805590538532084957528100523085093478496951652782070341350045975598415008462850064908484524721247870599748039382079917287504362219665429960364241726709
Sat Aug 20 18:49:47 2022  elapsed time 01:33:50 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.357).
Factorization parameters were as follows:
#
# N = 31x10^197+14 = 34(196)6
#
n: 9064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380117
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1550
c0: 7
skew: 0.34
# Murphy_E = 1.412e-11
type: snfs
lss: 1
rlim: 14100000
alim: 14100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14100000/14100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3648436 hash collisions in 27417882 relations (25198593 unique)
Msieve: matrix is 2031051 x 2031276 (710.9 MB)

Sieving start time : 2022/08/20 08:15:43
Sieving end time  : 2022/08/20 17:15:29

Total sieving time: 8hrs 59min 46secs.

Total relation processing time: 1hrs 22min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 1sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14100000,14100000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

798275427362412703490608689448988982833641489539324348250749496155027039358783771023722169908840477424287213911999598349056364286705832170161652581732870155963<159>

30924568408112308818135762530442521610484729<44>
25813631958498232406230521382730570333878812697134400662422190164673712260963006039044045124179745637000316116395347<116>

Number: n
N=798275427362412703490608689448988982833641489539324348250749496155027039358783771023722169908840477424287213911999598349056364286705832170161652581732870155963  ( 159 digits)
SNFS difficulty: 201 digits.
Divisors found:

Tue Nov  1 04:08:23 2022  p44 factor: 30924568408112308818135762530442521610484729
Tue Nov  1 04:08:23 2022  p116 factor: 25813631958498232406230521382730570333878812697134400662422190164673712260963006039044045124179745637000316116395347
Tue Nov  1 04:08:23 2022  elapsed time 01:53:23 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.334).
Factorization parameters were as follows:
#
# N = 31x10^200+14 = 34(199)6
#
n: 798275427362412703490608689448988982833641489539324348250749496155027039358783771023722169908840477424287213911999598349056364286705832170161652581732870155963
m: 10000000000000000000000000000000000000000
deg: 5
c5: 31
c0: 14
skew: 0.85
# Murphy_E = 1.227e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 35200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2268683 hash collisions in 14605103 relations (13012639 unique)
Msieve: matrix is 2271991 x 2272216 (791.6 MB)

Sieving start time : 2022/10/31 15:12:16
Sieving end time  : 2022/11/01 02:14:39

Total sieving time: 11hrs 2min 23secs.

Total relation processing time: 1hrs 37min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 50sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16000000,16000000,27,27,54,54,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

451708404358640934820320189629869183382342513771733633038096403344877398830521780513158310974422884668531073384006142967839470820802631377281033632495822977870244439<165>

148223912227249336936865632204254985271375296583623<51>
3047473228652234359299940913553506368575320822532415080762649309067141813405434872571069317157551418870520131172593<115>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 451708404358640934820320189629869183382342513771733633038096403344877398830521780513158310974422884668531073384006142967839470820802631377281033632495822977870244439 (165 digits)
Using B1=53680000, B2=288595146856, polynomial Dickson(12), sigma=1:2035720865
Step 1 took 126262ms
Step 2 took 41152ms
********** Factor found in step 2: 148223912227249336936865632204254985271375296583623
Found prime factor of 51 digits: 148223912227249336936865632204254985271375296583623
Prime cofactor 3047473228652234359299940913553506368575320822532415080762649309067141813405434872571069317157551418870520131172593 has 115 digits

429047003015969665601124153625437639355209684619530806529133901954687012553303290596795592446222475791401985910149699517870578830813674908014585928658307812093177823765392408569<177>

403239922150462579222206346606424168592697517999996743995106881334534193362673153<81>
1063999320126536438533016760749319205922859044168580507310899037786973065277617257482809623482873<97>

Number: n
N=429047003015969665601124153625437639355209684619530806529133901954687012553303290596795592446222475791401985910149699517870578830813674908014585928658307812093177823765392408569  ( 177 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sat Feb 24 10:27:57 2024  prp81 factor: 403239922150462579222206346606424168592697517999996743995106881334534193362673153
Sat Feb 24 10:27:57 2024  prp97 factor: 1063999320126536438533016760749319205922859044168580507310899037786973065277617257482809623482873
Sat Feb 24 10:27:57 2024  elapsed time 03:39:35 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.084).
Factorization parameters were as follows:
#
# N = 31x10^205+14 = 34(204)6
#
n: 429047003015969665601124153625437639355209684619530806529133901954687012553303290596795592446222475791401985910149699517870578830813674908014585928658307812093177823765392408569
m: 100000000000000000000000000000000000000000
deg: 5
c5: 31
c0: 14
skew: 0.85
# Murphy_E = 7.555e-12
type: snfs
lss: 1
rlim: 19300000
alim: 19300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19300000/19300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 64050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3671621 hash collisions in 18794467 relations (15736777 unique)
Msieve: matrix is 2626616 x 2626841 (739.6 MB)

Sieving start time: 2024/02/23 03:26:12
Sieving end time  : 2024/02/24 06:47:06

Total sieving time: 27hrs 20min 54secs.

Total relation processing time: 3hrs 31min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 57sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19300000,19300000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

246804267642602319218478768065143078377751614586693851175078863088239025633242439177763856213593869903054452568072476611889312371038001379670514689490380831243<159>

71881567039236295128868030151011556134780634494780560946577896559<65>
3433484797401329556256871053034709836634990933731300596200858972097956930517856786062352611877<94>

Number: n
N=246804267642602319218478768065143078377751614586693851175078863088239025633242439177763856213593869903054452568072476611889312371038001379670514689490380831243  ( 159 digits)
SNFS difficulty: 207 digits.
Divisors found:

Fri Jun 28 14:38:11 2024  prp65 factor: 71881567039236295128868030151011556134780634494780560946577896559
Fri Jun 28 14:38:11 2024  prp94 factor: 3433484797401329556256871053034709836634990933731300596200858972097956930517856786062352611877
Fri Jun 28 14:38:11 2024  elapsed time 04:02:42 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.040).
Factorization parameters were as follows:
#
# N = 31x10^206+14 = 34(205)6
#
n: 246804267642602319218478768065143078377751614586693851175078863088239025633242439177763856213593869903054452568072476611889312371038001379670514689490380831243
m: 100000000000000000000000000000000000000000
deg: 5
c5: 155
c0: 7
skew: 0.54
# Murphy_E = 6.718e-12
type: snfs
lss: 1
rlim: 19900000
alim: 19900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19900000/19900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 57150000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 6618811 hash collisions in 23474060 relations (15837203 unique)
Msieve: matrix is 2715015 x 2715240 (763.9 MB)

Sieving start time: 2024/06/27 09:12:06
Sieving end time  : 2024/06/28 10:25:58

Total sieving time: 25hrs 13min 52secs.

Total relation processing time: 3hrs 53min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 35sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,19900000,19900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

89526133846763761270192629880131275617736345944504956964974185379555002526126961550460966507792038526667809868384797395678573052283330660012803796488073890292909752647860393962911453<182>

138440405875876562508412167188102299147<39>

646676331814798712158472794308326132336987772157718918415541537620424239347769291284710448070098041829572238831073752771001633445001671434319799<144>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:2341449855174856848
Step 1 took 23578ms
Step 2 took 7766ms
********** Factor found in step 1: 138440405875876562508412167188102299147
Found prime factor of 39 digits: 138440405875876562508412167188102299147
Composite cofactor 646676331814798712158472794308326132336987772157718918415541537620424239347769291284710448070098041829572238831073752771001633445001671434319799 has 144 digits

GMP-ECM 7.0.5

646676331814798712158472794308326132336987772157718918415541537620424239347769291284710448070098041829572238831073752771001633445001671434319799<144>

684762897575898400320408107853191065191699464294352565169482386097<66>
944379922019828457166746628859201831918618428808303558749770023533541535412967<78>

684762897575898400320408107853191065191699464294352565169482386097
944379922019828457166746628859201831918618428808303558749770023533541535412967

cado-nfs

4x Xeon E7-8890v4, 1024GB RAM, Ubuntu Server 24.04

1795418334458878445959557618146951006258164651130810645941082598688767222245312101633507199316837063645273778878495628834932939869712195714635339908433380918163695007<166>

7934353835684171317844282878747433537<37>

226284127433807763412649180877301785091209718074981747295355547042564137555682580004739411645780662030975566710036559827577145311<129>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:18135424351656483174
Step 1 took 11703ms
********** Factor found in step 1: 7934353835684171317844282878747433537
Found prime factor of 37 digits: 7934353835684171317844282878747433537
Composite cofactor 226284127433807763412649180877301785091209718074981747295355547042564137555682580004739411645780662030975566710036559827577145311 has 129 digit

226284127433807763412649180877301785091209718074981747295355547042564137555682580004739411645780662030975566710036559827577145311<129>

1822278495377216089593894255694068555979058967774766907<55>
124176479066097082795128946084250554436993775316899483211869452033351827373<75>

CADO:



STA:Mon 26 Feb 2024 20:00:30 AEDT (226284127433807763412649180877301785091209718074981747295355547042564137555682580004739411645780662030975566710036559827577145311 - C129)



/home/vboxuser/Math/cado-nfs/cado-nfs.py -t 30 --no-colors --screenlog DEBUG 226284127433807763412649180877301785091209718074981747295355547042564137555682580004739411645780662030975566710036559827577145311 2>&1 | tee -a log-40



Debug:root: Looking for parameter file for c129 in directory /home/vboxuser/Math/cado-nfs/parameters/factor

Info:root: Using default parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c130

Debug:Parameters: Reading parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c130

Info:root: No database exists yet

Info:root: Created temporary directory /tmp/cado.r6b8vgrs

Info:Database: Opened connection to database /tmp/cado.r6b8vgrs/c130.db

Info:root: Set tasks.threads=30 based on --server-threads 30

Info:root: tasks.threads = 30 [via tasks.threads]

Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]

Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]

Info:root: tasks.linalg.bwc.threads = 30 [via tasks.threads]

Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]

Info:root: slaves.scriptpath is /home/vboxuser/Math/cado-nfs/build/Ubuntu

Info:root: Command line parameters: /home/vboxuser/Math/cado-nfs/cado-nfs.py -t 30 --no-colors --screenlog DEBUG 226284127433807763412649180877301785091209718074981747295355547042564137555682580004739411645780662030975566710036559827577145311

Debug:root: Root parameter dictionary:

N = 226284127433807763412649180877301785091209718074981747295355547042564137555682580004739411645780662030975566710036559827577145311

name = c130

===

Info:Polynomial Selection (root optimized): Best polynomial is:

n: 226284127433807763412649180877301785091209718074981747295355547042564137555682580004739411645780662030975566710036559827577145311

skew: 114503.871

c0: 462271107585033549031559985647

c1: 26110984488861863273138868

c2: 78051000589896226967

c3: -4519129273479552

c4: 6952842650

c5: 56700

Y0: -7214876795174782505182398

Y1: 10129887575052987433

# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.517e+13) = 1.745e-06

# f(x) = 56700*x^5+6952842650*x^4-4519129273479552*x^3+78051000589896226967*x^2+26110984488861863273138868*x+462271107585033549031559985647

# g(x) = 10129887575052987433*x-7214876795174782505182398

===

Debug:Command: Process with PID 1125386 finished successfully

Info:Square Root: finished

Info:Square Root: Factors: 124176479066097082795128946084250554436993775316899483211869452033351827373 1822278495377216089593894255694068555979058967774766907

Debug:Square Root: Exit SqrtTask.run(sqrt)

Info:Complete Factorization / Discrete logarithm: Square Root

Info:Square Root: Total cpu/real time for sqrt: 1635.72/231.87

Info:HTTP server: Got notification to stop serving Workunits

Info:Polynomial Selection (root optimized): Aggregate statistics:

Info:Polynomial Selection (root optimized): Total time: 467.38

Info:Polynomial Selection (root optimized): Rootsieve time: 466.04

Info:Lattice Sieving: Aggregate statistics:

Info:Lattice Sieving: Total number of relations: 32181193

Info:Lattice Sieving: Average J: 3852.89 for 211866 special-q, max bucket fill -bkmult 1.0,1s:1.340240

Info:Lattice Sieving: Total time: 460151s

Info:Polynomial Selection (size optimized): Aggregate statistics:

Info:Polynomial Selection (size optimized): potential collisions: 55285.3

Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38093/37.220/47.189/57.360/2.019

Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 31814/36.830/41.234/49.910/1.288

Info:Polynomial Selection (size optimized): Total time: 6506.2

Info:Square Root: Total cpu/real time for sqrt: 1635.72/231.87

Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 619.03/1011.5

Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:

Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 786.3s

Info:Quadratic Characters: Total cpu/real time for characters: 48.37/12.5258

Info:Generate Free Relations: Total cpu/real time for freerel: 268.45/30.7097

Info:Filtering - Singleton removal: Total cpu/real time for purge: 223.26/443.277

Info:Generate Factor Base: Total cpu/real time for makefb: 3.28/0.662186

Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 257.81/1646.97

Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:

Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 1646.0s

Info:Filtering - Merging: Total cpu/real time for merge: 103.5/16.8101

Info:Filtering - Merging: Total cpu/real time for replay: 20.25/18.4886

Info:Linear Algebra: Total cpu/real time for bwc: 12841.3/5622.01

Info:Linear Algebra: Aggregate statistics:

Info:Linear Algebra: Krylov: CPU time 7342.89, WCT time 3326.39, iteration CPU time 0.02, COMM 0.05, cpu-wait 0.01, comm-wait 0.01 (36000 iterations)

Info:Linear Algebra: Lingen CPU time 267.41, WCT time 33.66

Info:Linear Algebra: Mksol: CPU time 4264.45,  WCT time 1905.22, iteration CPU time 0.03, COMM 0.06, cpu-wait 0.01, comm-wait 0.0 (18000 iterations)

Info:HTTP server: Shutting down HTTP server

Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 213653/38826 [10:47:06]

Info:root: Cleaning up computation data in /tmp/cado.r6b8vgrs

124176479066097082795128946084250554436993775316899483211869452033351827373 1822278495377216089593894255694068555979058967774766907



END:Tue 27 Feb 2024 06:47:38 AEDT (226284127433807763412649180877301785091209718074981747295355547042564137555682580004739411645780662030975566710036559827577145311 - C129)

95233258639132409634028241196957654710055031519039072517768552300805243976833043510325735266267087712103961507002402425033314577344848971238838324706038674260642956636549<170>

33570638409416905946020456112038232327060618754023372117039517327351267374029366835151264999237255520178568412221518220754617819900746754208461620530148052763336075282222613173090127097354048163<194>

3614381264472235441182267249240983<34>
4445641904820381079855796619570958469<37>

2089253605964031058626929769780069044704295382082628416839754585618971078505526298926004039579274377538822225757508334141969<124>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:9697708894269669861
Step 1 took 35547ms
********** Factor found in step 2: 4445641904820381079855796619570958469
Found prime factor of 37 digits: 4445641904820381079855796619570958469
Composite cofactor 7551359090127452114569327470571168525846221330712665030570864909860326028466819826452914555750044914103973230492849228327903572014840068911680095959815115527 has 157 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:6423937271113506032
Step 1 took 13781ms
Step 2 took 4875ms
********** Factor found in step 2: 3614381264472235441182267249240983
Found prime factor of 34 digits: 3614381264472235441182267249240983
Composite cofactor 2089253605964031058626929769780069044704295382082628416839754585618971078505526298926004039579274377538822225757508334141969 has 124 digits

GMP-ECM 7.0.5

2089253605964031058626929769780069044704295382082628416839754585618971078505526298926004039579274377538822225757508334141969<124>

9103168290304886381014495778699894481676105280701589<52>
229508401837318671890479685525055149508097532726907284652715941173857421<72>

CADO:

STA:Wed Jun 12 02:42:01 PM AEST 2024 (2089253605964031058626929769780069044704295382082628416839754585618971078505526298926004039579274377538822225757508334141969 - C124) 

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors --screenlog DEBUG 2089253605964031058626929769780069044704295382082628416839754585618971078505526298926004039579274377538822225757508334141969 2>&1 | tee -a log-34

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py:93: DeprecationWarning: 'locale.getdefaultlocale' is deprecated and slated for removal in Python 3.15. Use setlocale(), getencoding() and getlocale() instead.
  loc = locale.getdefaultlocale()[1]
Debug:root: Looking for parameter file for c124 in directory /home/bob/Downloads/Math/cado-nfs/parameters/factor
Info:root: Using default parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c125
Debug:Parameters: Reading parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c125
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.401r3klt
Info:Database: Opened connection to database /tmp/cado.401r3klt/c125.db
Info:root: Set tasks.threads=18 based on --server-threads 18
Info:root: tasks.threads = 18 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 18 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Downloads/Math/cado-nfs/build/VM9
Info:root: Command line parameters: /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors --screenlog DEBUG 2089253605964031058626929769780069044704295382082628416839754585618971078505526298926004039579274377538822225757508334141969
Debug:root: Root parameter dictionary:
N = 2089253605964031058626929769780069044704295382082628416839754585618971078505526298926004039579274377538822225757508334141969
name = c125
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 2089253605964031058626929769780069044704295382082628416839754585618971078505526298926004039579274377538822225757508334141969
skew: 65803.587
c0: 22923449517403432613395051010
c1: 707780577610439282796565
c2: -33546245788165356206
c3: -19882454329243
c4: 3579761058
c5: 20160
Y0: -887927106532031910191776
Y1: 638604702497343731
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=1.342e+13) = 3.953e-06
# f(x) = 20160*x^5+3579761058*x^4-19882454329243*x^3-33546245788165356206*x^2+707780577610439282796565*x+22923449517403432613395051010
# g(x) = 638604702497343731*x-887927106532031910191776
===
Debug:Command: Process with PID 24339 finished successfully
Info:Square Root: finished
Info:Square Root: Factors: 229508401837318671890479685525055149508097532726907284652715941173857421 9103168290304886381014495778699894481676105280701589
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 757.69/92.9532
Info:HTTP server: Got notification to stop serving Workunits
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38700.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 26422/35.850/45.305/57.690/2.308
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 21924/35.070/39.692/52.040/1.627
Info:Polynomial Selection (size optimized): Total time: 2311.8
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 266.9/168.392
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 133.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 81.52/47.0728
Info:Linear Algebra: Total cpu/real time for bwc: 6388.95/969.41
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3655.06, WCT time 539.72, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (30000 iterations)
Info:Linear Algebra: Lingen CPU time 29.88, WCT time 30.43
Info:Linear Algebra: Mksol: CPU time 2059.72,  WCT time 308.51, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15000 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 217.57/25.8815
Info:Square Root: Total cpu/real time for sqrt: 757.69/92.9532
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 103.67/101.748
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 101.4s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.61/0.302178
Info:Filtering - Merging: Total cpu/real time for merge: 51.69/9.64541
Info:Filtering - Merging: Total cpu/real time for replay: 14.35/12.3496
Info:Quadratic Characters: Total cpu/real time for characters: 26.23/6.83544
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 399.65
Info:Polynomial Selection (root optimized): Rootsieve time: 399.25
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27076113
Info:Lattice Sieving: Average J: 3882.08 for 93556 special-q, max bucket fill -bkmult 1.0,1s:1.258820
Info:Lattice Sieving: Total time: 45627.5s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 53012.3/6966.76 [01:56:07]
Info:root: Cleaning up computation data in /tmp/cado.401r3klt
229508401837318671890479685525055149508097532726907284652715941173857421 9103168290304886381014495778699894481676105280701589

END:Wed Jun 12 04:38:09 PM AEST 2024 (2089253605964031058626929769780069044704295382082628416839754585618971078505526298926004039579274377538822225757508334141969 - C124)

2020237207609921605404229471870561893401667745404066218944698336873298384794694476023017776310153367396597668419540093888409700328977479920191243579549284652330237042619209366357<178>

613754136751239496671500288425376450158205539182065060037557746864400639289373130749749240844693460010286879136924415255006842709774427642511542682719889728573346880221164662868424199276822447330677<198>

5959246443675509419454056132256824298346789696270665128796616685890042291426374471357170319108035371011149557862360630526720492118415993848519800076893502499038831218762014609765474817377931564782775855440215301807<214>

28539921503713759308372982515249970780736747135747490641808189412650371830057651645935877306035010974363346152880466412449596239335160891780563149876657045619378548033<167>

27417644261021958407146096105268798057056892818913706807236840536716446124548532562496986646817812029814015047402513489339041306249251348853745164579684164539976934331277599996979849456555184119<194>

11111660628151919611432290402747060311012891<44>
152584850466321914848632592821732778127318347<45>
16171107050523913497891968889245238094356569613962267328449741221269202193763548819980901543033442943444447<107>

Number: 34446_219
N = 27417644261021958407146096105268798057056892818913706807236840536716446124548532562496986646817812029814015047402513489339041306249251348853745164579684164539976934331277599996979849456555184119 (194 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=11111660628151919611432290402747060311012891 (pp44)
r2=152584850466321914848632592821732778127318347 (pp45)
r3=16171107050523913497891968889245238094356569613962267328449741221269202193763548819980901543033442943444447 (pp107)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 47.96 hours.
Factorization parameters were as follows:
n: 27417644261021958407146096105268798057056892818913706807236840536716446124548532562496986646817812029814015047402513489339041306249251348853745164579684164539976934331277599996979849456555184119
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 31
c0: 140
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
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: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31699232
Relations: 7800886 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 20.27 hours.
Total relation processing time: 0.41 hours.
Pruned matrix : 6744566 x 6744792
Matrix solve time: 26.90 hours.
time per square root: 0.39 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 47.96 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

901499097220810515389793409733717851160980784125698137077698606527819387107538922778769738358820144223655091270555437109909731885886608062048173844814241750996503045036733779629099851373<186>

111894024122514168564939134302850591921<39>
698364859464677594451128259640592969680554101<45>
1227435334048760333636186201219172384809272205551<49>
9398908112442738115984438004904380236092758016827095463<55>

Number: 34446_220
N = 901499097220810515389793409733717851160980784125698137077698606527819387107538922778769738358820144223655091270555437109909731885886608062048173844814241750996503045036733779629099851373 (186 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=111894024122514168564939134302850591921 (pp39)
r2=698364859464677594451128259640592969680554101 (pp45)
r3=1227435334048760333636186201219172384809272205551 (pp49)
r4=9398908112442738115984438004904380236092758016827095463 (pp55)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 36.00 hours.
Factorization parameters were as follows:
n: 901499097220810515389793409733717851160980784125698137077698606527819387107538922778769738358820144223655091270555437109909731885886608062048173844814241750996503045036733779629099851373
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 31
c0: 14
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
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: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31173706
Relations: 6862358 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 17.62 hours.
Total relation processing time: 0.34 hours.
Pruned matrix : 6085853 x 6086080
Matrix solve time: 17.39 hours.
time per square root: 0.65 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 36.00 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

63927647753680799577714091385549716026253779026535202447230243712533790255193902068438626750901254878203980875296283729065346145145367888884743089<146>

8869092041428977266579046231793417625778974066020053419<55>
7207913443119579479302225515275541922447420076071439474695015622026984934923413808506790931<91>

Number: 34446_222
N = 63927647753680799577714091385549716026253779026535202447230243712533790255193902068438626750901254878203980875296283729065346145145367888884743089 (146 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=8869092041428977266579046231793417625778974066020053419 (pp55)
r2=7207913443119579479302225515275541922447420076071439474695015622026984934923413808506790931 (pp91)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 35.39 hours.
Factorization parameters were as follows:
n: 63927647753680799577714091385549716026253779026535202447230243712533790255193902068438626750901254878203980875296283729065346145145367888884743089
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1550
c0: 7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
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: 30912497
Relations: 9435360 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 11.27 hours.
Total relation processing time: 0.30 hours.
Pruned matrix : 8010772 x 8010997
Matrix solve time: 23.31 hours.
time per square root: 0.51 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 35.39 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

455327090928170850051879234341822031540636842736335683205947354382599480751448212611007606450560732815523027634450356734528410667011798726401950130091796908501195614032126933630580258592475329709910845986190199590809<216>

813890478548272777865398059125707167633866292307009453111038647009718423907446377267659453788160362448008899909278495239178367586051427392514390181383506849820474267332346519404959067021149104386394252600571<207>

3322166611775526799995193010371744162372656965865239456477118707472229561255323007652871713045315793979068026840502768117316640876176493790969040913349532473552250349815073<172>

115057307294128837600305488139075208525804134622090880054430036908009222131384428205792658018732044601693622912903428282804556660411128331448492219815853338421298946181285998047<177>

1966565357296363904962688351490195887602869932648539392462721921946112850774898822123612979662675813724976221963574456709852004802267316747118367547<148>

483528253975638422857173371693529033019742623824936813193019<60>
4067115708600236746551226362878038501620765136397624773963934546805187907452262410355713<88>

483528253975638422857173371693529033019742623824936813193019
4067115708600236746551226362878038501620765136397624773963934546805187907452262410355713

cado-nfs

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

866622450566992616203433251347246205167154921312004945007818445595519302175158336141999259948076093840630656403224238431019935205698481085276352639544311592216864982400103481623668647963368901132823<198>

1052058642554241784359307209428212426871330893603793158386597102096857922108607586218784462960902314989004369348909288626323686855867887476203649977134663818422586043566991617707772730371672937554907171396892058746661417769<223>

157789744898649356793114200928198999019007017390800789727996785640445351829492951074339732973940657151407806571246827084726176645911651064256791293948924466147221541638743408876265154364005985873945290706263754397<213>

7050672588495260770878616430013432389551<40>

22379389046673134685355268888787972631901841192114255067356236594053074618438584185761258782052800908055287283653573749136307435727842526763828936714167425052481050373170547<173>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:5358544642078670951
Step 1 took 28172ms
********** Factor found in step 2: 7050672588495260770878616430013432389551
Found prime factor of 40 digits: 7050672588495260770878616430013432389551
Composite cofactor 22379389046673134685355268888787972631901841192114255067356236594053074618438584185761258782052800908055287283653573749136307435727842526763828936714167425052481050373170547 has 173 digits

GMP-ECM 7.0.5

22379389046673134685355268888787972631901841192114255067356236594053074618438584185761258782052800908055287283653573749136307435727842526763828936714167425052481050373170547<173>

2730201940804935607677325626983772223467709<43>
8196972067229246783593608858134038372587302208999386972736295360982519167525537601180759088155189258798031227820207754892118182383<130>

Run 480 out of 5000:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:5760600595784100954
Step 1 took 37016ms
Step 2 took 13375ms
********** Factor found in step 2: 2730201940804935607677325626983772223467709
Found prime factor of 43 digits: 2730201940804935607677325626983772223467709
Prime cofactor 8196972067229246783593608858134038372587302208999386972736295360982519167525537601180759088155189258798031227820207754892118182383 has 130 digits

GMP-ECM 7.0.5

326201732671093970773094005326014291925326898296208754643643793976224654873047876766177682710584153702311448613782976135847910805748177096090020276438106891671605109797821373249874427674268921166072126888503449<210>

4457908247694830744483648440002607675000012870412521570559730041501141297851190725843609739376792422446410140391811538115160096873279813642638998506695647326860042155763553501397452135173108040659217870121707768968979841031164451392569<235>

289596515233625530566167726743502357736982115913682629432071687021552392341111401068063852443118656577738706362181567710696417754094309541673446961599818501700219044035031614469957198125639003639757333309080123<210>

5324507089706016723112435690307398296634711497366017327057509060192024850290091621678568702622090437908726885038355920041760338779153728509771311538703651822902702067581781547502880202113592679092983087<202>

2991503999786358185903167775142920300148890550581179187827811295805091668934919149267108287800145467682151779727730697062467709083205979037491512927606407055247563455672211357731145021298480050433460120091101538527228911<220>

1958677115665439695308519491308424426808517<43>

1527308393946302146688121293284999539615881751163648357961356822669384969871501246290531611914921030386562574893703896029812389644446670046333836180711524548303321544604220066083<178>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3164728199
Step 1 took 6062ms
********** Factor found in step 2: 1958677115665439695308519491308424426808517
Found prime factor of 43 digits: 1958677115665439695308519491308424426808517
Composite cofactor 1527308393946302146688121293284999539615881751163648357961356822669384969871501246290531611914921030386562574893703896029812389644446670046333836180711524548303321544604220066083 has 178 digits
 

GMP-ECM

1527308393946302146688121293284999539615881751163648357961356822669384969871501246290531611914921030386562574893703896029812389644446670046333836180711524548303321544604220066083<178>

1043889568634182526965394925449064055639<40>
1463093836587160530196793042173835674330932893959425636525302768306646013674702233531382458268739451847791921216954043989765666461074846997<139>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:220302118
Step 1 took 7328ms
Step 2 took 3422ms
********** Factor found in step 2: 1043889568634182526965394925449064055639
Found prime factor of 40 digits: 1043889568634182526965394925449064055639
Prime cofactor 1463093836587160530196793042173835674330932893959425636525302768306646013674702233531382458268739451847791921216954043989765666461074846997 has 139 digits
 

GMP-ECM

54742217055246610087021422363760634404776845736856724039386986605519799839900499613779947763891295244493808431703477606882639801<128>

277453149305631061821836409984843351673749473839731983<54>
197302561503617386279882000654628671648766385318819976289367060127699480247<75>

54742217055246610087021422363760634404776845736856724039386986605519799839900499613779947763891295244493808431703477606882639801=277453149305631061821836409984843351673749473839731983*197302561503617386279882000654628671648766385318819976289367060127699480247

cado polynomial
n: 54742217055246610087021422363760634404776845736856724039386986605519799839900499613779947763891295244493808431703477606882639801
skew: 91811.627
c0: -302549319161765176784181823530
c1: -10346067940450132300394481
c2: 256754461206055914336
c3: 502333638629851
c4: -15736721408
c5: -59280
Y0: -5169936659484540618715822
Y1: 2155629711498307
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 5.914e-07
# f(x) = -59280*x^5-15736721408*x^4+502333638629851*x^3+256754461206055914336*x^2-10346067940450132300394481*x-302549319161765176784181823530
# g(x) = 2155629711498307*x-5169936659484540618715822

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

cado log (extracts)
Info:Square Root: Factors: 197302561503617386279882000654628671648766385318819976289367060127699480247 277453149305631061821836409984843351673749473839731983
Info:Square Root: Total cpu/real time for sqrt: 587.73/176.949
Info:Quadratic Characters: Total cpu/real time for characters: 57.3/23.1912
Info:Generate Free Relations: Total cpu/real time for freerel: 250.81/63.9515
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 99.17/117.069
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 117.0s
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): 39083/38.140/45.565/49.860/0.856
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30797/37.160/40.838/46.350/0.907
Info:Polynomial Selection (size optimized): Total time: 4854.19
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 257/221.698
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 207.39999999999998s
Info:Square Root: Total cpu/real time for sqrt: 587.73/176.949
Info:Filtering - Merging: Merged matrix has 1492734 rows and total weight 256142446 (171.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 364.51/103.302
Info:Filtering - Merging: Total cpu/real time for replay: 58.37/48.6983
Info:Generate Factor Base: Total cpu/real time for makefb: 40.62/10.7868
Info:Linear Algebra: Total cpu/real time for bwc: 35639/9142.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 22739.32, WCT time 5806.14, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (46848 iterations)
Info:Linear Algebra: Lingen CPU time 289.07, WCT time 73.42
Info:Linear Algebra: Mksol: CPU time 12344.3,  WCT time 3164.4, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (23552 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 122.7/131.39
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5002.08
Info:Polynomial Selection (root optimized): Rootsieve time: 4999.62
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23051230
Info:Lattice Sieving: Average J: 7828.88 for 44564 special-q, max bucket fill -bkmult 1.0,1s:1.075810
Info:Lattice Sieving: Total time: 65579s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 170978/43036.3
197302561503617386279882000654628671648766385318819976289367060127699480247 277453149305631061821836409984843351673749473839731983

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-122-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.9)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

3945811864745821302674150886237797282421720048442318874768802824996940203527392327113660625619644538987342598243622146050450517197891257707418805585680025231074343077592439613696047064591681825106806071103911239521108156787154567<229>

12046276986630652680547713724240184521344036135257743651250708259317753120561165471003276777546084075017522878713400510322940201886010271945161775792329476500054481075065050216419902867954732008227910195415604839397045604818143987<230>

2619511453431353122914983794957776403<37>

4598673149854329213384341542868184318599330889010646587919251193242524515873096615090952263467773928210041695441243787884063176740727209928325508506101089709940469350492667522413952613030196129<193>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2320314319
Step 1 took 8813ms
Step 2 took 3890ms
********** Factor found in step 2: 2619511453431353122914983794957776403
Found prime factor of 37 digits: 2619511453431353122914983794957776403
Composite cofactor 4598673149854329213384341542868184318599330889010646587919251193242524515873096615090952263467773928210041695441243787884063176740727209928325508506101089709940469350492667522413952613030196129 has 193 digits
 

GMP-ECM

174734784455465654681375311608968264599574650738824617343961802299851699032032633595729389016768510824188689833963779428601111242723739583578705500430906734928101775013285818076907516898139093623490692187227973<210>

1960551526008060497284806577059458559527690353337355652812172736266960738008457036924792812813603513373554353073789941670986566186553286849370193658775636684176883454275478956265233215535632596630193310780785614979889412811307006806619141<238>

19431001422872114954948894934112024544230973791667954478899011623014952097020883032101625242709421959530585317932579492654125870657994176136802289261334041359479946683795797944850384958992760919952707313806037<209>

662856474176206171223968737269483835553668496177953941244314124104008529035870610130460242607891525525478460988573282247447268926348594727397428812883880850213297888376700384131043503413803<189>

75559084603215985884803142381354822691813094392537332640367830128769595743457071016624660819180994883834992896919730805972627445805029906384022491372438170904232205145809797751955688125590685381349722280759921891<212>

282952257035032598936521989965460977706193056953968146079225173144138968351994952840611287667270534652367033184683265172887970632828197948910034140879344004370208995851863532598998680216225842194807462018415223311634598911413<225>

69487267725370053959805354567186829413274384508400788411477690239251607566576153231248167914343194970233879884032494979547259142596610039005745128532835988262650041997864634579288428780037891844695984633981526371435815070377849384264159912996697<245>

9044633493974193013793719446782612126179995457496718000208870533220661907972656140862246361733858716749402023279748829410575506875031434523090090519521884176740026140718118412256386906924597754855487745098226865431666939030235207165630908848846431<247>

8783026427839013735373175873969217171276169026177537605052080771720449817113559750667492783460772663953018128553811116132138910483990524081894694094004203062268237274012277123698748315934391156667<196>

51463997520479912427996291933319231737930499728947639959734340173645845867674000421966046185821539280060064991241758522376536473877401164333816353199036438463027632051168219644487899773922254130227338069<203>

344401709110751329685818402369480036477191831888064966989584291166935640448171423914626397818604931397993365810022961831478002216924423886212262097921324781098932069037835469148677139431243888384063<198>

28815860024597316372415357611041465726708970363774702234613558624393378105070413090299352223003740444526138260107709103273168301283609475425241481601084734830798106221443591<173>

22061173702645272198729349074445582099555443781<47>
1306179825833206471358213969374302068391776487450082300398375239081257573662878634850381019690054903681131465258316887104002011<127>

Resuming ECM residue saved by @6d2046de63d2 with GMP-ECM 7.0.5-dev on Mon May 27 04:15:59 2024 
Input number is 28815860024597316372415357611041465726708970363774702234613558624393378105070413090299352223003740444526138260107709103273168301283609475425241481601084734830798106221443591 (173 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:828086143
Step 1 took 0ms
Step 2 took 21787ms
********** Factor found in step 2: 22061173702645272198729349074445582099555443781
Found prime factor of 47 digits: 22061173702645272198729349074445582099555443781
Prime cofactor 1306179825833206471358213969374302068391776487450082300398375239081257573662878634850381019690054903681131465258316887104002011 has 127 digits

2119717186736000853287538091533116015721569695576664120024715790423745676319300646906531636285103514767576105161731096535140340263689483800231067415417754065804596109779398291044903123478528807712953889278832774373979<217>

214763475361245532851992712813685224240985450581085043407284920546254989786355537949772362347984019461991392837184100571255894151886357132755628978781666393475748655287699930356181528569278694029635615720431950219848236187460513821235155378331017579652851881828353<264>

6207992182303923747414528177381484198029966378887973741629710824916244587116302090469126958837750869858153404253189394626682535517258985190189923501013213386174716499892271841302343065034103798281023926257196148498322725036606173545423619<238>

1722222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<277>

85682697622996130458817025981205085682697622996130458817025981205085682697622996130458817025981205085682697622996130458817025981205085682697622996130458817025981205085682697622996130458817025981205085682697622996130458817025981205085682697622996130458817025981205085682697623<275>

2235367115649503899795236126306940808130736121053071666965912817956561866048958054040387096996502645645121896557925346430881644724729098790794191563440469986285994002995703320167372868941758595453220319551732685926497358196194968384487270246730305142686501033159288953<268>

1790165903213675404983286351208525443<37>

1248692711461329279364594546256527409470472583269809171983532357436308576700095993671724094879732470855180318491428153294685287897307253346996008500122166950839405195326168207613850092608683162384474653528150826283010978460520127571<232>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 2235367115649503899795236126306940808130736121053071666965912817956561866048958054040387096996502645645121896557925346430881644724729098790794191563440469986285994002995703320167372868941758595453220319551732685926497358196194968384487270246730305142686501033159288953 (268 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2427199103
Step 1 took 16572ms
Step 2 took 6211ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3670112675
Step 1 took 13753ms
Step 2 took 5741ms
** Factor found in step 2: 1790165903213675404983286351208525443
Found prime factor of 37 digits: 1790165903213675404983286351208525443
Composite cofactor 1248692711461329279364594546256527409470472583269809171983532357436308576700095993671724094879732470855180318491428153294685287897307253346996008500122166950839405195326168207613850092608683162384474653528150826283010978460520127571 has 232 digits

4x Xeon E7-8890v4, 1024GB DDR4, Ubuntu Server 24.04

1248692711461329279364594546256527409470472583269809171983532357436308576700095993671724094879732470855180318491428153294685287897307253346996008500122166950839405195326168207613850092608683162384474653528150826283010978460520127571<232>

6437322550954046267962332939221861519<37>
193977030291307403501904112245286069351134761918708818220011896964126211592428883066559360630436564548138801041420961342919011277852706987131576661361179787259339754835976646454149829583360538109<195>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:229231858
Step 1 took 9578ms
Step 2 took 4469ms
********** Factor found in step 2: 6437322550954046267962332939221861519
Found prime factor of 37 digits: 6437322550954046267962332939221861519
Prime cofactor 193977030291307403501904112245286069351134761918708818220011896964126211592428883066559360630436564548138801041420961342919011277852706987131576661361179787259339754835976646454149829583360538109 has 195 digits

GMP-ECM

32179444170209176274147156749799146561404597954002010130182237213097339591612471226690852503219948412667549126582785785390480494637181951514946458522958323475558443143888719387289504897666736599281792452748861254662780598122044778287788507481935720994364378086266088657<269>

919307069828540327181669887882553128710397309028889784741814654235531846192997797706221102306660116132432090434962246075943147453487111916356421461272221185052387350438924998557741778907803724327292401274447570095350094180466207<228>

3118431128587262061921735121674004142759709634258741291237067230963641167892146704992938391574636435586222528939406181452404566221483073827212855054672392771868195811687618877892782328593518161444458864479665589127759817905160006049103745935067232798781071349754453<265>

3249475890985324947589098532494758909853249475890985324947589098532494758909853249475890985324947589098532494758909853249475890985324947589098532494758909853249475890985324947589098532494758909853249475890985324947589098532494758909853249475890985324947589098532494758909853249475891<283>

9570051520594308540514784234183432751207128979141480633149459805997110306939571921274055782443296866598636023665864764982114481567926005386473581864251950492230051937674322993150686233272467748761592677232986552003902179021465618232472193<238>

6067216309500138810608930126261303582782156803479308777109778162398426162492267758007975375958510081389586397702519418387373864795777402925347651358511282627957682877744242445241611454723268314924532221244274242758994589884628220799103715045413411370207704504209561832642044121<277>

16385646973337729998271752531645020353305022949452976617447484051845576612761480763423338979576662551525320480464265615844296648723939398634662306280941265541864977685639966748259256692168099976750936431358302776342270514860924962364092008320222791619080167<257>

16042355129512002941857433556446268511972202635024104414825081922097702496697603572290940426662477024501230241640302867244957344412701281101081016687878800110495602169464608649851587515238943634719506665495057246885532000203272164350719830824567738741035299080731651452821555294944909<284>

104278210928465732964694443231164865288726967004237095839493614702703243650677954078140179483153455275192527852952287038265490261126494680071055556540793734227710696502458798623390165830841911925243705831410543<210>

754326478968475529081275373465618119<36>

138240157061785551844307757192436320430274675381315553530790605498202981487115826531831810142880393484262993830693720624039022839356528113082331656823047199063831782257987097<174>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 104278210928465732964694443231164865288726967004237095839493614702703243650677954078140179483153455275192527852952287038265490261126494680071055556540793734227710696502458798623390165830841911925243705831410543 (210 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:858792866
Step 1 took 9425ms
Step 2 took 4241ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2746113177
Step 1 took 9350ms
Step 2 took 4205ms
Run 3 out of 0:
...
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2769019450
Step 1 took 9349ms
Step 2 took 4192ms
Run 7 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3912915847
Step 1 took 9362ms
Step 2 took 4261ms
** Factor found in step 2: 754326478968475529081275373465618119
Found prime factor of 36 digits: 754326478968475529081275373465618119
Composite cofactor 138240157061785551844307757192436320430274675381315553530790605498202981487115826531831810142880393484262993830693720624039022839356528113082331656823047199063831782257987097 has 174 digits

4x Xeon E7-8890v4, 1024GB DDR4, Ubuntu Server 24.04

138240157061785551844307757192436320430274675381315553530790605498202981487115826531831810142880393484262993830693720624039022839356528113082331656823047199063831782257987097<174>

1351175699954590841747254867043933988908819<43>

102311014819487509216784181376936500628916065967911602659064373716963236573449721837853498732712366211629548630124557727110448838563<132>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3410254426
Step 1 took 24469ms
Step 2 took 10297ms
********** Factor found in step 2: 1351175699954590841747254867043933988908819
Found prime factor of 43 digits: 1351175699954590841747254867043933988908819
Composite cofactor 102311014819487509216784181376936500628916065967911602659064373716963236573449721837853498732712366211629548630124557727110448838563 has 132 digits
 

GMP-ECM

102311014819487509216784181376936500628916065967911602659064373716963236573449721837853498732712366211629548630124557727110448838563<132>

4648348785083938388082489578660473027695274195187461<52>
22010184594536618835180788425173742100635317743448054114316994330053052185781383<80>

CADO-NFS

STA:Sat Oct 12 11:27:17 AEDT 2024 (102311014819487509216784181376936500628916065967911602659064373716963236573449721837853498732712366211629548630124557727110448838563 - C132)

./cado-nfs.py -t 16 --no-colors 102311014819487509216784181376936500628916065967911602659064373716963236573449721837853498732712366211629548630124557727110448838563 2>&1 | tee -a log-06

Info:root: Using default parameter file ./parameters/factor/params.c130
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.yvkjedwv
Info:Database: Opened connection to database /tmp/cado.yvkjedwv/c130.db
Info:root: Set tasks.threads=16 based on --server-threads 16
Info:root: tasks.threads = 16 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 16 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Math/cado-nfs/build/TrigKey-2
Info:root: Command line parameters: ./cado-nfs.py -t 16 --no-colors 102311014819487509216784181376936500628916065967911602659064373716963236573449721837853498732712366211629548630124557727110448838563
Info:root: If this computation gets interrupted, it can be resumed with ./cado-nfs.py /tmp/cado.yvkjedwv/c130.parameters_snapshot.0
Info:Server Launcher: Adding TrigKey-2 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,TrigKey-2
Info:Lattice Sieving: param rels_wanted is 30000000
Info:Complete Factorization / Discrete logarithm: Factoring 102311014819487509216784181376936500628916065967911602659064373716963236573449721837853498732712366211629548630124557727110448838563
Info:HTTP server: serving at https://TrigKey-2:34503 (0.0.0.0)
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 102311014819487509216784181376936500628916065967911602659064373716963236573449721837853498732712366211629548630124557727110448838563
skew: 54263.283
c0: 54847898862752012845721332152
c1: 20656639673706464756564309
c2: -95886644604306363204
c3: -6030915856537721
c4: 9452171664
c5: 766080
Y0: -19993226812730802336655977
Y1: 6950007282594756463
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.517e+13) = 1.373e-06
# f(x) = 766080*x^5+9452171664*x^4-6030915856537721*x^3-95886644604306363204*x^2+20656639673706464756564309*x+54847898862752012845721332152
# g(x) = 6950007282594756463*x-19993226812730802336655977
===
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 4648348785083938388082489578660473027695274195187461 22010184594536618835180788425173742100635317743448054114316994330053052185781383
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 1257.09/102.1
Info:HTTP server: Got notification to stop serving Workunits
Info:Quadratic Characters: Total cpu/real time for characters: 25.47/5.45327
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 458.06
Info:Polynomial Selection (root optimized): Rootsieve time: 462.97
Info:Generate Factor Base: Total cpu/real time for makefb: 0.66/0.305147
Info:Filtering - Merging: Total cpu/real time for merge: 90.53/9.22907
Info:Filtering - Merging: Total cpu/real time for replay: 20.68/19.7561
Info:Generate Free Relations: Total cpu/real time for freerel: 190.37/13.032
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 55661.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 52217/39.560/48.333/59.750/2.258
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 43246/37.790/42.527/56.390/1.630
Info:Polynomial Selection (size optimized): Total time: 4623.69
Info:Filtering - Singleton removal: Total cpu/real time for purge: 299.25/187.605
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 36038499
Info:Lattice Sieving: Average J: 3812.52 for 365489 special-q, max bucket fill -bkmult 1.0,1s:1.207230
Info:Lattice Sieving: Total time: 74246.6s
Info:Square Root: Total cpu/real time for sqrt: 1257.09/102.1
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 132.66/88.4797
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 87.89999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 769.06/497.103
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 361.6s
Info:Linear Algebra: Total cpu/real time for bwc: 16618.1/1247.02
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 9762.5, WCT time 712.11, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (39000 iterations)
Info:Linear Algebra: Lingen CPU time 62.42, WCT time 32.94
Info:Linear Algebra: Mksol: CPU time 5400.49,  WCT time 391.09, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (21000 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 160273/11407.2 [03:10:07]
Info:root: Cleaning up computation data in /tmp/cado.yvkjedwv
4648348785083938388082489578660473027695274195187461 22010184594536618835180788425173742100635317743448054114316994330053052185781383

END:Sat Oct 12 14:37:26 AEDT 2024 (102311014819487509216784181376936500628916065967911602659064373716963236573449721837853498732712366211629548630124557727110448838563 - C132)

CADO-NFS

1114105561937915206205201809436600802589413848945723667223523450856672772002735351543561169014815429927568537836940348065844710407305869785625651844019067844519519829470580163518648631926308283756321024882211091320762434350791243841501606829955302856783779945738905140944009<274>

97604186514538916290792080069150013<35>

11414526381734254428134900549933141922485642407967697796361027227680772808103006690180298250174468485442691887286957489092195085690009303992113480699012600089133618916558942391015843705162970342025857130470139459836162470489953887343845693<239>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 1114105561937915206205201809436600802589413848945723667223523450856672772002735351543561169014815429927568537836940348065844710407305869785625651844019067844519519829470580163518648631926308283756321024882211091320762434350791243841501606829955302856783779945738905140944009 (274 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2614169724
Step 1 took 20165ms
Step 2 took 5969ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:539208152
Step 1 took 15704ms
Step 2 took 6025ms
Run 3 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:524154666
Step 1 took 15717ms
** Factor found in step 1: 97604186514538916290792080069150013
Found prime factor of 35 digits: 97604186514538916290792080069150013
Composite cofactor 11414526381734254428134900549933141922485642407967697796361027227680772808103006690180298250174468485442691887286957489092195085690009303992113480699012600089133618916558942391015843705162970342025857130470139459836162470489953887343845693 has 239 digits

4x Xeon E7-8890v4, 1024GB DDR4, Ubuntu Server 24.04

1121299515743030813145093690667088305094767619418243149984134570007275733084743667750829637500341126004547864144284395252626485181709768027667952909189705627210844077441138036084948088812384904464824841554555411890399701143592285842698990458930872216976623043167175138613623<274>

258830433482736850154946511728011877734452702568844391406160259051430267260045707679170014934369892248259649430953664265835010328958850570110968454863170162652128287333644236381940004890059099474929424843542761512127539809117527853<231>

6118835722681769082257144053806346388510584548317859871016984200270132784977426853499958223665535709041166499009395389980398553550238471038143989945765355378530207991093378731411740822924104834728618086277400856796611808290899554144078442421<241>

52214166090533791173555167694280695261331714904990223346332903706223924828804820741685453194193910044676921531605502715172591341021705102517838724042570829579214507431246668711807150727485717676807179338830275388744051055208342235605768016160855088850519493757133741160993626937<278>

1767988055508705882792589098584799812875361121435368270126521851603087198096055044927487577727376588726048781832719960199069757990219218515395762254771827926900759413363579739116566004694442699224474879<202>

11120126592892080177509400859825978776625217579951137579729471049529969152930932180471578419562652842695881521371325250969635923089800285545399981653854950402078610227590262774970221861103030744833503471691534970035838270936535784347142454932544686030596289613890677128648073511663<281>