4429355674625048333023259907903871294652859135244664728056680456449165067496586110380081477634468059411<103>

18327101494104691690269886126628465567961191719<47>
241683371265764328307447229565182833401656883308648073269<57>

N=4429355674625048333023259907903871294652859135244664728056680456449165067496586110380081477634468059411
  ( 103 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=18327101494104691690269886126628465567961191719 (pp47)
 r2=241683371265764328307447229565182833401656883308648073269 (pp57)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.35 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 4429355674625048333023259907903871294652859135244664728056680456449165067496586110380081477634468059411
m: 50000000000000000000000000000
deg: 4
c4: 7
c0: -5
skew: 0.92
# Murphy_E = 6.528e-08
type: snfs
lss: 1
rlim: 590000
alim: 590000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 590000/590000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [295000, 635001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 66491 x 66718
Total sieving time: 0.34 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,115.000,4,0,0,0,0,0,0,0,0,590000,590000,25,25,45,45,2.2,2.2,20000
total time: 0.35 hours.
 --------- CPU info (if available) ----------
[    0.117346] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071557] Memory: 15863944K/16489528K available (16393K kernel code, 3514K rwdata, 5516K rodata, 2936K init, 5684K bss, 625324K reserved, 0K cma-reserved)
[    0.134106] x86/mm: Memory block size: 128MB
[    0.113352] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.130780] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

589433220550619548205836008630380169607219890050158409335975521074123820990410830912895983763708280000854172941323640671<120>

575132449423581355844359826465383695718386844061<48>
1024865178692961847223819423181960009425113466731938295936379748328596011<73>

N=589433220550619548205836008630380169607219890050158409335975521074123820990410830912895983763708280000854172941323640671
  ( 120 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=575132449423581355844359826465383695718386844061 (pp48)
 r2=1024865178692961847223819423181960009425113466731938295936379748328596011 (pp73)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.02 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 589433220550619548205836008630380169607219890050158409335975521074123820990410830912895983763708280000854172941323640671
m: 50000000000000000000000000000000
deg: 4
c4: 7
c0: -5
skew: 0.92
# Murphy_E = 1.751e-08
type: snfs
lss: 1
rlim: 940000
alim: 940000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 940000/940000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [470000, 845001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 125657 x 125882
Total sieving time: 0.00 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:
snfs,127.000,4,0,0,0,0,0,0,0,0,940000,940000,26,26,46,46,2.3,2.3,75000
total time: 0.02 hours.
 --------- CPU info (if available) ----------
[    0.117346] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071557] Memory: 15863944K/16489528K available (16393K kernel code, 3514K rwdata, 5516K rodata, 2936K init, 5684K bss, 625324K reserved, 0K cma-reserved)
[    0.134106] x86/mm: Memory block size: 128MB
[    0.113352] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.130780] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

1527712707921489535550464018006549903738739180341860561909823495597263037521788259908705917819188757234901254162859<115>

12855537381873877300832640033117340909566911838570433271<56>
118836938709037746472108853023073971243877811146499846338029<60>

N=1527712707921489535550464018006549903738739180341860561909823495597263037521788259908705917819188757234901254162859
  ( 115 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=12855537381873877300832640033117340909566911838570433271 (pp56)
 r2=118836938709037746472108853023073971243877811146499846338029 (pp60)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.03 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1527712707921489535550464018006549903738739180341860561909823495597263037521788259908705917819188757234901254162859
m: 100000000000000000000000000000000
deg: 4
c4: 175
c0: -2
skew: 0.33
# Murphy_E = 1.378e-08
type: snfs
lss: 1
rlim: 1040000
alim: 1040000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1040000/1040000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [520000, 1020001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 124191 x 124416
Total sieving time: 0.00 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,130.000,4,0,0,0,0,0,0,0,0,1040000,1040000,26,26,47,47,2.3,2.3,100000
total time: 0.03 hours.
 --------- CPU info (if available) ----------
[    0.117346] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071557] Memory: 15863944K/16489528K available (16393K kernel code, 3514K rwdata, 5516K rodata, 2936K init, 5684K bss, 625324K reserved, 0K cma-reserved)
[    0.134106] x86/mm: Memory block size: 128MB
[    0.113352] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.130780] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

421509408330856463762474872017700504799667417033701001939906728398124548081698639560319923232297929593958782642290737439140063<126>

87775464522837473066544475843772774061269456978630731853<56>
4802132470870466231448902497726318935004243757845519762187597065284571<70>

N=421509408330856463762474872017700504799667417033701001939906728398124548081698639560319923232297929593958782642290737439140063
  ( 126 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=87775464522837473066544475843772774061269456978630731853 (pp56)
 r2=4802132470870466231448902497726318935004243757845519762187597065284571 (pp70)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.03 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 421509408330856463762474872017700504799667417033701001939906728398124548081698639560319923232297929593958782642290737439140063
m: 1000000000000000000000000000000000
deg: 4
c4: 7
c0: -8
skew: 1.03
# Murphy_E = 1.108e-08
type: snfs
lss: 1
rlim: 1150000
alim: 1150000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1150000/1150000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [575000, 1175001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 141717 x 141942
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,132.000,4,0,0,0,0,0,0,0,0,1150000,1150000,26,26,47,47,2.3,2.3,100000
total time: 0.03 hours.
 --------- CPU info (if available) ----------
[    0.117346] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071557] Memory: 15863944K/16489528K available (16393K kernel code, 3514K rwdata, 5516K rodata, 2936K init, 5684K bss, 625324K reserved, 0K cma-reserved)
[    0.134106] x86/mm: Memory block size: 128MB
[    0.113352] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.130780] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

521143537820131030375223347230494341870160810005955926146515783204288266825491363907087552114353782013103037522334723049434187016081<132>

106225628767936991989785776923660954754003656685867407469<57>
4906005677392914898025332594236211721195129297060783367579997368409923312949<76>

Number: n
N=521143537820131030375223347230494341870160810005955926146515783204288266825491363907087552114353782013103037522334723049434187016081  ( 132 digits)
SNFS difficulty: 135 digits.
Divisors found:

Wed Nov  9 07:29:17 2022  p57 factor: 106225628767936991989785776923660954754003656685867407469
Wed Nov  9 07:29:17 2022  p76 factor: 4906005677392914898025332594236211721195129297060783367579997368409923312949
Wed Nov  9 07:29:17 2022  elapsed time 00:03:38 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 7x10^135-8 = 69(134)2
#
n: 521143537820131030375223347230494341870160810005955926146515783204288266825491363907087552114353782013103037522334723049434187016081
m: 5000000000000000000000000000000000
deg: 4
c4: 7
c0: -5
skew: 0.92
# Murphy_E = 7.102e-09
type: snfs
lss: 1
rlim: 1280000
alim: 1280000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1280000/1280000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved  special-q in [100000, 56640000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 552049 hash collisions in 7909559 relations (8223512 unique)
Msieve: matrix is 342372 x 342620 (51.2 MB)

Sieving start time : 2022/11/09 05:51:41
Sieving end time  : 2022/11/09 07:24:57

Total sieving time: 1hrs 33min 16secs.

Total relation processing time: 0hrs 1min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 23sec.

Prototype def-par.txt line would be:
snfs,135,4,0,0,0,0,0,0,0,0,1280000,1280000,26,26,47,47,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

486313471550106127494162848874337154738277205348225456036984278458091728169110368703421590428461620974505502567457236372246006810611749<135>

1708705667824772840662413182565602578499<40>
284609269289307116217088841165620241765398035629728559856277804447139298711274344732268994341751<96>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 486313471550106127494162848874337154738277205348225456036984278458091728169110368703421590428461620974505502567457236372246006810611749 (135 digits)
Using B1=26010000, B2=96191014936, polynomial Dickson(12), sigma=1:3740769127
Step 1 took 42110ms
Step 2 took 14607ms
********** Factor found in step 2: 1708705667824772840662413182565602578499
Found prime factor of 40 digits: 1708705667824772840662413182565602578499
Prime cofactor 284609269289307116217088841165620241765398035629728559856277804447139298711274344732268994341751 has 96 digits

12964486840634237799447718647093369576412504083357741099348428381030935634693664152085930130724892385809843913827237845657468857<128>

16226454162340449481391877971949421908800192142653<50>
798972265346989620766898519575830819559856221171351492173571513129141210778669<78>

Number: 1
N=12964486840634237799447718647093369576412504083357741099348428381030935634693664152085930130724892385809843913827237845657468857
  ( 128 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=16226454162340449481391877971949421908800192142653 (pp50)
 r2=798972265346989620766898519575830819559856221171351492173571513129141210778669 (pp78)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.99 hours.
Scaled time: 61.99 units (timescale=7.758).
Factorization parameters were as follows:
n: 12964486840634237799447718647093369576412504083357741099348428381030935634693664152085930130724892385809843913827237845657468857
m: 1000000000000000000000000000000000000
deg: 4
c4: 7
c0: -8
skew: 1.03
# Murphy_E = 2.793e-09
type: snfs
lss: 1
rlim: 1820000
alim: 1820000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1820000/1820000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [910000, 1710001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 236539 x 236764
Total sieving time: 7.94 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,144.000,4,0,0,0,0,0,0,0,0,1820000,1820000,26,26,49,49,2.3,2.3,100000
total time: 7.99 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

20411556246409101366567534832083553831647380259093142216372673118813808529260118190423490789831075088369639392773071556677<122>

156133862005420641417555499684803737166299807<45>
130731130225296385658509181059317201076653050167479374614949915592319298848411<78>

20411556246409101366567534832083553831647380259093142216372673118813808529260118190423490789831075088369639392773071556677=156133862005420641417555499684803737166299807*130731130225296385658509181059317201076653050167479374614949915592319298848411

cado polynomial
n: 20411556246409101366567534832083553831647380259093142216372673118813808529260118190423490789831075088369639392773071556677
skew: 83096.436
c0: -57607046996344720525161745960
c1: -467216342446604773501239
c2: 55752137164297665782
c3: -40013953396635
c4: -1203289276
c5: 15840
Y0: -348740524714469479995804
Y1: 3498010447730917
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.324e-06
# f(x) = 15840*x^5-1203289276*x^4-40013953396635*x^3+55752137164297665782*x^2-467216342446604773501239*x-57607046996344720525161745960
# g(x) = 3498010447730917*x-348740524714469479995804

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

cado log (extracts)
Info:Square Root: Factors: 156133862005420641417555499684803737166299807 130731130225296385658509181059317201076653050167479374614949915592319298848411
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 19996/35.540/43.406/48.760/1.056
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15999/34.720/38.454/43.890/0.867
Info:Polynomial Selection (size optimized): Total time: 3595.56
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2873.34
Info:Polynomial Selection (root optimized): Rootsieve time: 2822.35
Info:Generate Factor Base: Total cpu/real time for makefb: 5.56/0.882468
Info:Generate Free Relations: Total cpu/real time for freerel: 149.83/18.834
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13874549
Info:Lattice Sieving: Average J: 1898.81 for 319236 special-q, max bucket fill -bkmult 1.0,1s:1.133840
Info:Lattice Sieving: Total time: 79335.4s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 37.55/61.7198
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 61.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 242.1/179.443
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 160.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 159.76/174.236
Info:Filtering - Merging: Merged matrix has 817898 rows and total weight 83915940 (102.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 80.48/13.4301
Info:Filtering - Merging: Total cpu/real time for replay: 20.73/16.3875
Info:Linear Algebra: Total cpu/real time for bwc: 5633.97/1496.93
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 932.57, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25600 iterations)
Info:Linear Algebra: Lingen CPU time 88.63, WCT time 24.04
Info:Linear Algebra: Mksol: WCT time 515.94, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 30.75/7.89843
Info:Square Root: Total cpu/real time for sqrt: 1462.69/193.63
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 182980/22743.3
Info:root: Cleaning up computation data in /tmp/cado.rdbe5bsf
156133862005420641417555499684803737166299807 130731130225296385658509181059317201076653050167479374614949915592319298848411

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)

698961065813760557768960745405818093945744115945576789187588832596388357931561055027772416759921633941841<105>

12731017602255366592774367245509859<35>
54902215019319110527745504956138403511966186444348976728275792556266299<71>

698961065813760557768960745405818093945744115945576789187588832596388357931561055027772416759921633941841=12731017602255366592774367245509859*54902215019319110527745504956138403511966186444348976728275792556266299

cado polynomial
n: 698961065813760557768960745405818093945744115945576789187588832596388357931561055027772416759921633941841
skew: 5531.897
c0: 247967508583092322899756
c1: -182825914393288731450
c2: -86380949793845105
c3: 10949664290021
c4: 1053200398
c5: 42840
Y0: -125327707413290473241
Y1: 275976115802687
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.474e-06
# f(x) = 42840*x^5+1053200398*x^4+10949664290021*x^3-86380949793845105*x^2-182825914393288731450*x+247967508583092322899756
# g(x) = 275976115802687*x-125327707413290473241

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 12731017602255366592774367245509859 54902215019319110527745504956138403511966186444348976728275792556266299
Info:Square Root: Total cpu/real time for sqrt: 269.54/36.5417
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9794/30.060/37.040/41.900/1.049
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7384/29.630/32.910/37.570/0.900
Info:Polynomial Selection (size optimized): Total time: 576.24
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 167.03
Info:Polynomial Selection (root optimized): Rootsieve time: 155.81
Info:Generate Factor Base: Total cpu/real time for makefb: 1.62/0.255496
Info:Generate Free Relations: Total cpu/real time for freerel: 63.26/7.96559
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4598655
Info:Lattice Sieving: Average J: 1893.75 for 38592 special-q, max bucket fill -bkmult 1.0,1s:1.191730
Info:Lattice Sieving: Total time: 6646.07s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9.91/10.4064
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 10.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 46.61/34.1744
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 32.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 22.1/26.7346
Info:Filtering - Merging: Merged matrix has 206868 rows and total weight 30217919 (146.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 30.04/4.7311
Info:Filtering - Merging: Total cpu/real time for replay: 5.94/4.75093
Info:Linear Algebra: Total cpu/real time for bwc: 354.87/95.87
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 55.25, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6528 iterations)
Info:Linear Algebra: Lingen CPU time 16.91, WCT time 4.61
Info:Linear Algebra: Mksol: WCT time 32.54, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3328 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 8.52/2.08663
Info:Square Root: Total cpu/real time for sqrt: 269.54/36.5417
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 21462.4/2045.19
Info:root: Cleaning up computation data in /tmp/cado.deq2dsr8
12731017602255366592774367245509859 54902215019319110527745504956138403511966186444348976728275792556266299

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)

2307809355128574105995436194578549497459388862228454308941036318823892841626444628215333243266816683723207381674079<115>

5689819936533716860739671209891714495271223<43>
405603231889708929861887960622951387091128522080070873969515434661467673<72>

2307809355128574105995436194578549497459388862228454308941036318823892841626444628215333243266816683723207381674079=5689819936533716860739671209891714495271223*405603231889708929861887960622951387091128522080070873969515434661467673

cado polynomial
n: 2307809355128574105995436194578549497459388862228454308941036318823892841626444628215333243266816683723207381674079
skew: 40639.044
c0: 1895186990394396298567605616
c1: 12570849542801904062539
c2: -4923232456524737124
c3: 48065118309899
c4: 1140925190
c5: 15000
Y0: -12057962789219898829458
Y1: 30435537350186867
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.135e-06
# f(x) = 15000*x^5+1140925190*x^4+48065118309899*x^3-4923232456524737124*x^2+12570849542801904062539*x+1895186990394396298567605616
# g(x) = 30435537350186867*x-12057962789219898829458

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 4500000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 5689819936533716860739671209891714495271223 405603231889708929861887960622951387091128522080070873969515434661467673
Info:Square Root: Total cpu/real time for sqrt: 132.27/40.2028
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 118.31/129.202
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 94.39999999999999s
Info:Square Root: Total cpu/real time for sqrt: 132.27/40.2028
Info:Generate Free Relations: Total cpu/real time for freerel: 64.8/17.0636
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 29.15/29.5058
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 28.700000000000003s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 89.35/101.37
Info:Filtering - Merging: Merged matrix has 434800 rows and total weight 67418451 (155.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 68.94/20.3374
Info:Filtering - Merging: Total cpu/real time for replay: 14.75/11.8927
Info:Generate Factor Base: Total cpu/real time for makefb: 4.03/1.12499
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7025982
Info:Lattice Sieving: Average J: 1902.1 for 135524 special-q, max bucket fill -bkmult 1.0,1s:1.254320
Info:Lattice Sieving: Total time: 15459.6s
Info:Linear Algebra: Total cpu/real time for bwc: 2514.77/649.11
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1554.55, WCT time 398.04, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13696 iterations)
Info:Linear Algebra: Lingen CPU time 67.74, WCT time 17.23
Info:Linear Algebra: Mksol: CPU time 855.31,  WCT time 218.57, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6912 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 312.24
Info:Polynomial Selection (root optimized): Rootsieve time: 311.16
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21645/33.350/40.782/45.800/1.077
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16989/32.450/36.092/41.270/0.817
Info:Polynomial Selection (size optimized): Total time: 1837.1
Info:Quadratic Characters: Total cpu/real time for characters: 15.94/6.32943
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 33542.4/9211.46
Info:root: Cleaning up computation data in /tmp/cado.9rw4cavt
5689819936533716860739671209891714495271223 405603231889708929861887960622951387091128522080070873969515434661467673

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)

7418207142653896092792740641173548772130850761274263066040287272419991704714912504828288482939141349916011101120627689316806834990579601793641777<145>

47855345051033996127835811984369740627760317<44>
155013136667240749729274602332340266795347908208411167327869502614854231538019583082452302570304533381<102>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 7418207142653896092792740641173548772130850761274263066040287272419991704714912504828288482939141349916011101120627689316806834990579601793641777 (145 digits)
Using B1=32920000, B2=144292047916, polynomial Dickson(12), sigma=1:3809844726
Step 1 took 65186ms
********** Factor found in step 1: 47855345051033996127835811984369740627760317
Found prime factor of 44 digits: 47855345051033996127835811984369740627760317
Prime cofactor 155013136667240749729274602332340266795347908208411167327869502614854231538019583082452302570304533381 has 102 digits

172943218606913999160799382834885666315010815614685014351396032548266839809297050558134884151222897496856655363263154726392927473<129>

6763303978384845190438361007432430978863644051<46>
25570818517048945310460347531576897055077431521070756973072929066592852973907449323<83>

172943218606913999160799382834885666315010815614685014351396032548266839809297050558134884151222897496856655363263154726392927473=6763303978384845190438361007432430978863644051*25570818517048945310460347531576897055077431521070756973072929066592852973907449323

cado polynomial
n: 172943218606913999160799382834885666315010815614685014351396032548266839809297050558134884151222897496856655363263154726392927473
skew: 122633.721
c0: 200036390736642985475336123213
c1: -52782294321089379454573889
c2: 1185221084370421354213
c3: 4218147149804939
c4: 14207956884
c5: 100320
Y0: -7124757858875676071704290
Y1: 1549039780253892181
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 5.269e-07
# f(x) = 100320*x^5+14207956884*x^4+4218147149804939*x^3+1185221084370421354213*x^2-52782294321089379454573889*x+200036390736642985475336123213
# g(x) = 1549039780253892181*x-7124757858875676071704290

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: 25570818517048945310460347531576897055077431521070756973072929066592852973907449323 6763303978384845190438361007432430978863644051
Info:Square Root: Total cpu/real time for sqrt: 1370.55/399.876
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 263.93/222.947
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 208.2s
Info:Square Root: Total cpu/real time for sqrt: 1370.55/399.876
Info:Generate Free Relations: Total cpu/real time for freerel: 252.01/64.523
Info:Filtering - Singleton removal: Total cpu/real time for purge: 111.92/127.416
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 99.84/108.189
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 108.0s
Info:Filtering - Merging: Merged matrix has 1714795 rows and total weight 293640561 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 438.9/123.454
Info:Filtering - Merging: Total cpu/real time for replay: 69.53/59.0599
Info:Linear Algebra: Total cpu/real time for bwc: 47530.8/12239.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 30382.35, WCT time 7773.7, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (53760 iterations)
Info:Linear Algebra: Lingen CPU time 339.91, WCT time 86.37
Info:Linear Algebra: Mksol: CPU time 16495.99,  WCT time 4259.79, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26880 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 40.43/11.1025
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22964076
Info:Lattice Sieving: Average J: 7869.32 for 49903 special-q, max bucket fill -bkmult 1.0,1s:1.070170
Info:Lattice Sieving: Total time: 72240.6s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 4567.7
Info:Polynomial Selection (root optimized): Rootsieve time: 4565.25
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): 38723/38.300/45.755/49.240/0.842
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30737/37.030/41.031/46.580/0.940
Info:Polynomial Selection (size optimized): Total time: 4853.13
Info:Quadratic Characters: Total cpu/real time for characters: 67.83/29.8877
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 195389/52864
Info:root: Cleaning up computation data in /tmp/cado.tqy_9nzz
25570818517048945310460347531576897055077431521070756973072929066592852973907449323 6763303978384845190438361007432430978863644051

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)

390182755020395965659481855698150915624229422239155231968057970687012599920351415178687646713923617567001123541628540944283<123>

172469446501759265894250791773137911564516254113038715019<57>
2262329722362829790477579264869633423378261450641627715768366167857<67>

390182755020395965659481855698150915624229422239155231968057970687012599920351415178687646713923617567001123541628540944283=172469446501759265894250791773137911564516254113038715019*2262329722362829790477579264869633423378261450641627715768366167857

cado polynomial
n: 390182755020395965659481855698150915624229422239155231968057970687012599920351415178687646713923617567001123541628540944283
skew: 54538.091
c0: 1089556940705237021198444888
c1: -328675793863046995667393
c2: -40339919779877309418
c3: 204985667859647
c4: 4265074294
c5: 28920
Y0: -483871629687439723167075
Y1: 56450988434148527
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 3.346e-07
# f(x) = 28920*x^5+4265074294*x^4+204985667859647*x^3-40339919779877309418*x^2-328675793863046995667393*x+1089556940705237021198444888
# g(x) = 56450988434148527*x-483871629687439723167075

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

cado log (extracts)
Info:Square Root: Factors: 2262329722362829790477579264869633423378261450641627715768366167857 172469446501759265894250791773137911564516254113038715019
Info:Square Root: Total cpu/real time for sqrt: 1151.59/153.283
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20516/37.400/43.648/46.420/0.889
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16048/35.680/39.040/44.380/0.904
Info:Polynomial Selection (size optimized): Total time: 2764.78
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2761.09
Info:Polynomial Selection (root optimized): Rootsieve time: 2712.44
Info:Generate Factor Base: Total cpu/real time for makefb: 9.25/1.4834
Info:Generate Free Relations: Total cpu/real time for freerel: 134.93/16.9896
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11639388
Info:Lattice Sieving: Average J: 3775.55 for 153837 special-q, max bucket fill -bkmult 1.0,1s:1.131070
Info:Lattice Sieving: Total time: 72686.5s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 29.58/74.9124
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 74.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 149.81/114.242
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 108.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 82.51/91.3497
Info:Filtering - Merging: Merged matrix has 685273 rows and total weight 116736520 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 131.93/20.0102
Info:Filtering - Merging: Total cpu/real time for replay: 22.37/18.2094
Info:Linear Algebra: Total cpu/real time for bwc: 4671.19/1218.91
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 757.61, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (21504 iterations)
Info:Linear Algebra: Lingen CPU time 68.47, WCT time 18.54
Info:Linear Algebra: Mksol: WCT time 421.03, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10752 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 33.31/8.01969
Info:Square Root: Total cpu/real time for sqrt: 1151.59/153.283
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 170305/20801.2
Info:root: Cleaning up computation data in /tmp/cado.yr_cxr_w
2262329722362829790477579264869633423378261450641627715768366167857 172469446501759265894250791773137911564516254113038715019

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)

1022587267635109625262542517280958466918207840494950356613104389758076373174484382537065280393109153983975587009147603720552952240358858178958790258899461321<157>

59217523542652055841716641133268666497866961<44>
17268322051640342386544276176577646873899379295658687906286779165013008842029298876551757105723194034299945264761<113>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1022587267635109625262542517280958466918207840494950356613104389758076373174484382537065280393109153983975587009147603720552952240358858178958790258899461321 (157 digits)
Using B1=26420000, B2=144285831706, polynomial Dickson(12), sigma=1:2616927878
Step 1 took 62826ms
********** Factor found in step 1: 59217523542652055841716641133268666497866961
Found prime factor of 44 digits: 59217523542652055841716641133268666497866961
Prime cofactor 17268322051640342386544276176577646873899379295658687906286779165013008842029298876551757105723194034299945264761 has 113 digits

1441515650741350906095551894563426688632619439868204283360790774299835255354200988467874794069192751235584843492586490939044481054365733113673805601317957166392092257<166>

49094440662477865347356133718273747329783359182437670505160206340329<68>
29362095408148307995366751746001295583120452735383391409237094231799979092060822238984562584616633<98>

Number: n
N=1441515650741350906095551894563426688632619439868204283360790774299835255354200988467874794069192751235584843492586490939044481054365733113673805601317957166392092257  ( 166 digits)
SNFS difficulty: 167 digits.
Divisors found:

Sun Nov 13 07:26:27 2022  p68 factor: 49094440662477865347356133718273747329783359182437670505160206340329
Sun Nov 13 07:26:27 2022  p98 factor: 29362095408148307995366751746001295583120452735383391409237094231799979092060822238984562584616633
Sun Nov 13 07:26:27 2022  elapsed time 00:08:21 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.309).
Factorization parameters were as follows:
#
# N = 7x10^168-8 = 69(167)2
#
n: 1441515650741350906095551894563426688632619439868204283360790774299835255354200988467874794069192751235584843492586490939044481054365733113673805601317957166392092257
m: 1000000000000000000000000000000000
deg: 5
c5: 875
c0: -1
skew: 0.26
# Murphy_E = 3.575e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2257033 hash collisions in 17453515 relations (16236634 unique)
Msieve: matrix is 511528 x 511754 (174.0 MB)

Sieving start time : 2022/11/13 06:28:28
Sieving end time  : 2022/11/13 07:17:43

Total sieving time: 0hrs 49min 15secs.

Total relation processing time: 0hrs 3min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 28sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

4450572230895978945544397999609994562142618599325141466262342718253383837661518181898178335477121463339112658740878252536744453580540713074543939<145>

16927619429828849726963589321497500279<38>
272477056838870832845458857027309086308969<42>
964917154978010723911989144324678626408573364276089565544110739789<66>

Number: n
N=262917786481744964211242157796271981183215382907728157740615550095508038350639945067598235136019774015867541  ( 108 digits)
Divisors found:

Fri Nov 18 10:02:46 2022  p42 factor: 272477056838870832845458857027309086308969
Fri Nov 18 10:02:46 2022  p66 factor: 964917154978010723911989144324678626408573364276089565544110739789
Fri Nov 18 10:02:46 2022  elapsed time 00:04:08 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.308).
Factorization parameters were as follows:
#
# N = 7x10^172-8 = 69(171)2
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 4450572230895978945544397999609994562142618599325141466262342718253383837661518181898178335477121463339112658740878252536744453580540713074543939 (145 digits)
# Using B1=25020000, B2=96190324246, polynomial Dickson(12), sigma=1:117562555
# Step 1 took 49192ms
# Step 2 took 17174ms
# ********** Factor found in step 2: 16927619429828849726963589321497500279
# Found prime factor of 38 digits: 16927619429828849726963589321497500279
# Composite cofactor 262917786481744964211242157796271981183215382907728157740615550095508038350639945067598235136019774015867541 has 108 digits
#

n: 262917786481744964211242157796271981183215382907728157740615550095508038350639945067598235136019774015867541

Y0: -133010501313696313528287127
Y1: 93153753001979
c0: 2872541875732281853221428728344
c1: 357277584688889628010428
c2: -145855226257701409
c3: -8395580678
c4: 840

# skew 10028290.10, size 7.477e-15, alpha -4.927, combined = 3.827e-09 rroots = 4

skew: 10028290.10

type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 9550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 761671 hash collisions in 7918613 relations (7661120 unique)
Msieve: matrix is 331579 x 331806 (114.0 MB)

Sieving start time : 2022/11/18 09:41:53
Sieving end time  : 2022/11/18 09:58:21

Total sieving time: 0hrs 16min 28secs.

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

Prototype def-par.txt line would be:
gnfs,107,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,150000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

277496393688480772014571237523570521967010206440131358659418061487944348608911246993159857718748491049686387993282847190827347338177278459013<141>

218675311311567963667887642921613858807197853<45>
1268988218304647555383384525018694494517137836951011330775192432100360769635810791697025803219721<97>

277496393688480772014571237523570521967010206440131358659418061487944348608911246993159857718748491049686387993282847190827347338177278459013=218675311311567963667887642921613858807197853*1268988218304647555383384525018694494517137836951011330775192432100360769635810791697025803219721

cado polynomial
n: 277496393688480772014571237523570521967010206440131358659418061487944348608911246993159857718748491049686387993282847190827347338177278459013
skew: 0.81
type: snfs
c0: -5
c5: 14
Y0: 50000000000000000000000000000000000
Y1: -1
# f(x) = 14*x^5-5
# g(x) = -x+50000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5700000
tasks.lim1 = 5700000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 218675311311567963667887642921613858807197853 1268988218304647555383384525018694494517137836951011330775192432100360769635810791697025803219721
Info:Square Root: Total cpu/real time for sqrt: 215.64/70.6626
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 161.7/162.2
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 128.8s
Info:Square Root: Total cpu/real time for sqrt: 215.64/70.6626
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 48.5/46.0274
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 45.699999999999996s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 106.66/101.753
Info:Filtering - Merging: Merged matrix has 924744 rows and total weight 157436945 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 215.75/61.1128
Info:Filtering - Merging: Total cpu/real time for replay: 33.69/28.9284
Info:Generate Factor Base: Total cpu/real time for makefb: 2.48/1.48856
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12052769
Info:Lattice Sieving: Average J: 1893.54 for 550499 special-q, max bucket fill -bkmult 1.0,1s:1.184170
Info:Lattice Sieving: Total time: 76716.6s
Info:Linear Algebra: Total cpu/real time for bwc: 13165.6/3548.03
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 8308.03, WCT time 2223.72, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (28928 iterations)
Info:Linear Algebra: Lingen CPU time 170.48, WCT time 44.58
Info:Linear Algebra: Mksol: CPU time 4537.62,  WCT time 1222.43, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14592 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 32.64/13.0516
Info:Generate Free Relations: Total cpu/real time for freerel: 59.75/17.3085
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 153904/42401.1
Info:root: Cleaning up computation data in /tmp/cado.xq4h27_m
218675311311567963667887642921613858807197853 1268988218304647555383384525018694494517137836951011330775192432100360769635810791697025803219721

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)

2444689855154849995788791526368193308381551536757529884293950138823405608581720227897437005945878874615467524930695183734446934373327292413717<142>

23555205310381854030129827788084621597<38>
103785546461671620496827489957996743827478149183038104561330802590353270911399930146473180429105348047961<105>

Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:1669202692 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 2444689855154849995788791526368193308381551536757529884293950138823405608581720227897437005945878874615467524930695183734446934373327292413717 (142 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1669202692
Step 1 took 3906ms
Step 2 took 4047ms
********** Factor found in step 2: 23555205310381854030129827788084621597
Found probable prime factor of 38 digits: 23555205310381854030129827788084621597
Probable prime cofactor 103785546461671620496827489957996743827478149183038104561330802590353270911399930146473180429105348047961 has 105 digits

2669743024266591079885118669314644928754474870700531416162898871049581246992725179093989905015119898922003533824423663503758540507934628824864552494623137549127085565111371<172>

282423021596335649453763216460975269967<39>
2970675393532829193870436925267023725639677<43>
3182102511474035412674192708332228438737530138239688628916615075835448273653861403438120169<91>

Number: n
N=2669743024266591079885118669314644928754474870700531416162898871049581246992725179093989905015119898922003533824423663503758540507934628824864552494623137549127085565111371  ( 172 digits)
SNFS difficulty: 177 digits.
Divisors found:

Sun Nov 13 05:04:50 2022  found factor: 838987120823425123728596800787667966123964677587991711685146158210576244841680659
Sun Nov 13 05:06:31 2022  p39 factor: 282423021596335649453763216460975269967
Sun Nov 13 05:06:31 2022  p43 factor: 2970675393532829193870436925267023725639677
Sun Nov 13 05:06:31 2022  p91 factor: 3182102511474035412674192708332228438737530138239688628916615075835448273653861403438120169
Sun Nov 13 05:06:31 2022  elapsed time 00:16:49 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.303).
Factorization parameters were as follows:
#
# N = 7x10^178-8 = 69(177)2
#
n: 2669743024266591079885118669314644928754474870700531416162898871049581246992725179093989905015119898922003533824423663503758540507934628824864552494623137549127085565111371
m: 100000000000000000000000000000000000
deg: 5
c5: 875
c0: -1
skew: 0.26
# Murphy_E = 1.429e-10
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 16050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2335268 hash collisions in 16691024 relations (15265003 unique)
Msieve: matrix is 753864 x 754093 (260.4 MB)

Sieving start time : 2022/11/13 03:21:02
Sieving end time  : 2022/11/13 04:49:19

Total sieving time: 1hrs 28min 17secs.

Total relation processing time: 0hrs 8min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 13sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6500000,6500000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

10963348198558734844443249545882547560677254666312132100936842269588582309645981336857881185668090602667804761508430246480962159<128>

236969405169280526987721720419216086021<39>

46264825582555692321686811873779120652686619353966281774126358537402678654559286422436579<89>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1691610106
Step 1 took 2813ms
Step 2 took 1687ms
********** Factor found in step 2: 236969405169280526987721720419216086021
Found prime factor of 39 digits: 236969405169280526987721720419216086021
Composite cofactor 46264825582555692321686811873779120652686619353966281774126358537402678654559286422436579 has 89 digits
 

GMP-ECM

46264825582555692321686811873779120652686619353966281774126358537402678654559286422436579<89>

100266860465312960029684734265770413979697<42>
461416916495165213107816703561475592531168097107<48>

PRP48 = 461416916495165213107816703561475592531168097107
PRP42 = 100266860465312960029684734265770413979697

YAFU

12517827293269129198507077387539230914481207863155747947646111387978582718034890732695780315153519642488519075713208439534219297887276887350375643476365160998420069<164>

1559793649448403618302795959753599063195769814529623358221651762036104647541<76>
8025309820754726791992275264042282103491162038567645910774043292887960282588968752124209<88>

Number: n
N=12517827293269129198507077387539230914481207863155747947646111387978582718034890732695780315153519642488519075713208439534219297887276887350375643476365160998420069  ( 164 digits)
SNFS difficulty: 185 digits.
Divisors found:

Fri Nov 18 07:00:14 2022  p76 factor: 1559793649448403618302795959753599063195769814529623358221651762036104647541
Fri Nov 18 07:00:14 2022  p88 factor: 8025309820754726791992275264042282103491162038567645910774043292887960282588968752124209
Fri Nov 18 07:00:14 2022  elapsed time 00:32:36 (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 = 7x10^185-8 = 69(184)2
#
n: 12517827293269129198507077387539230914481207863155747947646111387978582718034890732695780315153519642488519075713208439534219297887276887350375643476365160998420069
m: 10000000000000000000000000000000000000
deg: 5
c5: 7
c0: -8
skew: 1.03
# Murphy_E = 6.765e-11
type: snfs
lss: 1
rlim: 8800000
alim: 8800000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 10000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1172128 hash collisions in 12512422 relations (12128315 unique)
Msieve: matrix is 1243396 x 1243621 (433.3 MB)

Sieving start time : 2022/11/18 04:05:38
Sieving end time  : 2022/11/18 06:27:19

Total sieving time: 2hrs 21min 41secs.

Total relation processing time: 0hrs 26min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 56sec.

Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8800000,8800000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

15391187460517691133723213824374916387168099931494610472418238611522886430841302536791282928787852444572859183<110>

772449376609405855175259590848373977<36>
19925172997194801337832559329385090255497601811345487062022439181955595079<74>

Number: 1
N=15391187460517691133723213824374916387168099931494610472418238611522886430841302536791282928787852444572859183
  ( 110 digits)
Divisors found:
 r1=772449376609405855175259590848373977 (pp36)
 r2=19925172997194801337832559329385090255497601811345487062022439181955595079 (pp74)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.16 hours.
Scaled time: 71.66 units (timescale=7.819).
Factorization parameters were as follows:
name: 1
n: 15391187460517691133723213824374916387168099931494610472418238611522886430841302536791282928787852444572859183
skew: 36251.18
# norm 8.99e+014
c5: 1920
c4: 1442884424
c3: -7558637978078
c2: -1932796723613636987
c1: 9712581662254392289342
c0: 97972956659792445458788079
# alpha -6.04
Y1: 284202027857
Y0: -1516288866345684948090
# Murphy_E 1.09e-009
# M 6620609975077900400316894779217206208019946885167348321959387348164346777871486572035021532721825412791127214
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 409184 x 409411
Total sieving time: 9.06 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 9.16 hours.
 --------- CPU info (if available) ----------

GMP-ECM

19087117092361928862582185789700276485265265006037810832207959348545891144699237711418137786451430357156620302787123447298947488845537818808107663735790337<155>

40001569659700738022935949240306372844921185702612511787090160597632820235811<77>
477159202869758698089231337944502540329428277691954453861138802959190376381067<78>

Number: n
N=19087117092361928862582185789700276485265265006037810832207959348545891144699237711418137786451430357156620302787123447298947488845537818808107663735790337  ( 155 digits)
SNFS difficulty: 187 digits.
Divisors found:

Thu Dec  8 15:27:42 2022  p77 factor: 40001569659700738022935949240306372844921185702612511787090160597632820235811
Thu Dec  8 15:27:42 2022  p78 factor: 477159202869758698089231337944502540329428277691954453861138802959190376381067
Thu Dec  8 15:27:42 2022  elapsed time 00:28:24 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 7x10^187-8 = 69(186)2
#
n: 19087117092361928862582185789700276485265265006037810832207959348545891144699237711418137786451430357156620302787123447298947488845537818808107663735790337
m: 10000000000000000000000000000000000000
deg: 5
c5: 175
c0: -2
skew: 0.41
# Murphy_E = 4.848e-11
type: snfs
lss: 1
rlim: 9200000
alim: 9200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 9200000/9200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 17400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1725705 hash collisions in 13838571 relations (12887510 unique)
Msieve: matrix is 1158524 x 1158749 (401.1 MB)

Sieving start time : 2022/12/08 11:00:44
Sieving end time  : 2022/12/08 14:58:27

Total sieving time: 3hrs 57min 43secs.

Total relation processing time: 0hrs 21min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 44sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9200000,9200000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

109690847426240192293304256983369331877871829177968611534429393407623273015186606750301794346525188285289794891<111>

678331807912221456123422470473223797957653<42>
161706772624813397117434283554082081973692220144763196821501455508447<69>

Number: 1
N=109690847426240192293304256983369331877871829177968611534429393407623273015186606750301794346525188285289794891
  ( 111 digits)
Divisors found:
 r1=678331807912221456123422470473223797957653 (pp42)
 r2=161706772624813397117434283554082081973692220144763196821501455508447 (pp69)
Version: Msieve v. 1.52 (SVN 927)
Total time: 11.29 hours.
Scaled time: 88.31 units (timescale=7.825).
Factorization parameters were as follows:
name: 1
n: 109690847426240192293304256983369331877871829177968611534429393407623273015186606750301794346525188285289794891
skew: 75106.36
# norm 3.20e+015
c5: 6600
c4: -716223528
c3: -141782780826458
c2: 3740280694529418608
c1: 271467926022862490758553
c0: -4457971940033287799449220135
# alpha -6.08
Y1: 181322964683
Y0: -1754390493815349810024
# Murphy_E 8.77e-010
# M 42411856648163588429574385615765992766823277392968661915869621848501409472207913089646085574772869777730141472
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 384589 x 384821
Total sieving time: 11.19 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 11.29 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

2153854659768312741932838318701858764464590812181684473095423594478646968825396293177303418547449706027160941821337281851980078478803109337437544867219042428036662598253<169>

938100567077493252039684416912698076040943038061831<51>
1977240237799805914292977234843147310153895230532001<52>
1161201413095973944238619075862272862255142390100576385884342589963<67>

Number: n
N=2153854659768312741932838318701858764464590812181684473095423594478646968825396293177303418547449706027160941821337281851980078478803109337437544867219042428036662598253  ( 169 digits)
SNFS difficulty: 189 digits.
Divisors found:

Mon Nov 21 19:04:22 2022  found factor: 1161201413095973944238619075862272862255142390100576385884342589963
Mon Nov 21 19:05:57 2022  p51 factor: 938100567077493252039684416912698076040943038061831
Mon Nov 21 19:05:57 2022  p52 factor: 1977240237799805914292977234843147310153895230532001
Mon Nov 21 19:05:57 2022  p67 factor: 1161201413095973944238619075862272862255142390100576385884342589963
Mon Nov 21 19:05:57 2022  elapsed time 00:40:14 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 7x10^189-8 = 69(188)2
#
n: 2153854659768312741932838318701858764464590812181684473095423594478646968825396293177303418547449706027160941821337281851980078478803109337437544867219042428036662598253
m: 50000000000000000000000000000000000000
deg: 5
c5: 14
c0: -5
skew: 0.81
# Murphy_E = 4.372e-11
type: snfs
lss: 1
rlim: 10100000
alim: 10100000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 10100000/10100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 17850601)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1472515 hash collisions in 13219086 relations (12526940 unique)
Msieve: matrix is 1367861 x 1368088 (476.2 MB)

Sieving start time : 2022/11/21 14:51:34
Sieving end time  : 2022/11/21 18:25:18

Total sieving time: 3hrs 33min 44secs.

Total relation processing time: 0hrs 33min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 11sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10100000,10100000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

794325836036007506557441981831437356868654779302622162449294452844147169418934615463395653998472265188623964556060217904704038276670953130870717291975286121957989929<165>

8997441485629784867485268762289326382281503755501203895973909309557658901194994791<82>
88283523411034206849847735508984215711142407932174751376522304772955707981808647919<83>

Number: n
N=794325836036007506557441981831437356868654779302622162449294452844147169418934615463395653998472265188623964556060217904704038276670953130870717291975286121957989929  ( 165 digits)
SNFS difficulty: 190 digits.
Divisors found:

Mon Nov 21 23:22:39 2022  p82 factor: 8997441485629784867485268762289326382281503755501203895973909309557658901194994791
Mon Nov 21 23:22:39 2022  p83 factor: 88283523411034206849847735508984215711142407932174751376522304772955707981808647919
Mon Nov 21 23:22:39 2022  elapsed time 00:54:33 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 7x10^190-8 = 69(189)2
#
n: 794325836036007506557441981831437356868654779302622162449294452844147169418934615463395653998472265188623964556060217904704038276670953130870717291975286121957989929
m: 100000000000000000000000000000000000000
deg: 5
c5: 7
c0: -8
skew: 1.03
# Murphy_E = 4.217e-11
type: snfs
lss: 1
rlim: 10600000
alim: 10600000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 10600000/10600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 10900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1271114 hash collisions in 12267152 relations (11736589 unique)
Msieve: matrix is 1581766 x 1581991 (552.4 MB)

Sieving start time : 2022/11/21 19:14:12
Sieving end time  : 2022/11/21 22:27:44

Total sieving time: 3hrs 13min 32secs.

Total relation processing time: 0hrs 48min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 0sec.

Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10600000,10600000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

701037866284447396981708826011376722390825485622127284624978464817313963351864240050138227911920778134952754065917162294056279629<129>

36397722636102386882784389078160801101430233<44>
19260487072042739321167163609850636603989454093667323552381568939059930560575601080213<86>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1774467875
Step 1 took 16343ms
Step 2 took 8094ms
********** Factor found in step 2: 36397722636102386882784389078160801101430233
Found prime factor of 44 digits: 36397722636102386882784389078160801101430233
Prime cofactor 19260487072042739321167163609850636603989454093667323552381568939059930560575601080213 has 86 digits
 

GMP-ECM

72339029886790003851481126737044066465934031927581405692689940863318441842946040233188531613311600055266428503075909140992405100992494209486420068274623<152>

626733578190033452855155016797658677271042168726112029623981451237<66>
115422298093075692855851706515310269587749914285408161256805838847716081233078780653779<87>

72339029886790003851481126737044066465934031927581405692689940863318441842946040233188531613311600055266428503075909140992405100992494209486420068274623=626733578190033452855155016797658677271042168726112029623981451237*115422298093075692855851706515310269587749914285408161256805838847716081233078780653779

cado polynomial
n: 72339029886790003851481126737044066465934031927581405692689940863318441842946040233188531613311600055266428503075909140992405100992494209486420068274623
skew: 0.81
type: snfs
c0: -5
c5: 14
Y0: 500000000000000000000000000000000000000
Y1: -1
# f(x) = 14*x^5-5
# g(x) = -x+500000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12300000
tasks.lim1 = 12300000
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: 115422298093075692855851706515310269587749914285408161256805838847716081233078780653779 626733578190033452855155016797658677271042168726112029623981451237
Info:Square Root: Total cpu/real time for sqrt: 1099.51/349.758
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28048233
Info:Lattice Sieving: Average J: 1894.32 for 2675543 special-q, max bucket fill -bkmult 1.0,1s:1.147650
Info:Lattice Sieving: Total time: 776246s
Info:Linear Algebra: Total cpu/real time for bwc: 96201.7/24676.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 61607.52, WCT time 15737.07, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (73728 iterations)
Info:Linear Algebra: Lingen CPU time 511.32, WCT time 129.7
Info:Linear Algebra: Mksol: CPU time 33258.84,  WCT time 8527.62, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36864 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.2/2.47215
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 530.41/562.066
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 464.2s
Info:Generate Free Relations: Total cpu/real time for freerel: 119.05/31.2224
Info:Square Root: Total cpu/real time for sqrt: 1099.51/349.758
Info:Quadratic Characters: Total cpu/real time for characters: 81.38/34.9822
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 119.04/112.002
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 111.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 414.13/396.275
Info:Filtering - Merging: Merged matrix has 2348246 rows and total weight 401222483 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 656.45/179.422
Info:Filtering - Merging: Total cpu/real time for replay: 89.02/80.7904
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.35646e+06/231692
Info:root: Cleaning up computation data in /tmp/cado.1gh87eu1
115422298093075692855851706515310269587749914285408161256805838847716081233078780653779 626733578190033452855155016797658677271042168726112029623981451237

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)

6941515705792519953649987501338764634943973109874027705243339502341945229676343268210904452392103995794675491298758231802561207158093<133>

1279505497147786469547865983722896943038171094188054673674881175357<67>
5425155047216460252903532977233328048168045962974620822931975040849<67>

6941515705792519953649987501338764634943973109874027705243339502341945229676343268210904452392103995794675491298758231802561207158093=1279505497147786469547865983722896943038171094188054673674881175357*5425155047216460252903532977233328048168045962974620822931975040849

cado polynomial
n: 6941515705792519953649987501338764634943973109874027705243339502341945229676343268210904452392103995794675491298758231802561207158093
skew: 125709.227
c0: 22094321336336517980828931742592
c1: -34479776261876529064101232
c2: -7258656488083356538088
c3: -6458554331760467
c4: 167446109490
c5: -642600
Y0: -35340407138393106106574541
Y1: 2752143744073372051
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.398e-07
# f(x) = -642600*x^5+167446109490*x^4-6458554331760467*x^3-7258656488083356538088*x^2-34479776261876529064101232*x+22094321336336517980828931742592
# g(x) = 2752143744073372051*x-35340407138393106106574541

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

cado log (extracts)
Info:Square Root: Factors: 1279505497147786469547865983722896943038171094188054673674881175357 5425155047216460252903532977233328048168045962974620822931975040849
Info:Square Root: Total cpu/real time for sqrt: 391.18/117.989
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 193.77/161.194
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 151.2s
Info:Square Root: Total cpu/real time for sqrt: 391.18/117.989
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 77.33/81.354
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 81.3s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 100.87/73.5162
Info:Filtering - Merging: Merged matrix has 1168506 rows and total weight 199039959 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 294.23/81.4569
Info:Filtering - Merging: Total cpu/real time for replay: 42/35.3922
Info:Generate Factor Base: Total cpu/real time for makefb: 14.63/4.03627
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17016784
Info:Lattice Sieving: Average J: 3796.39 for 509474 special-q, max bucket fill -bkmult 1.0,1s:1.285560
Info:Lattice Sieving: Total time: 208154s
Info:Linear Algebra: Total cpu/real time for bwc: 21092.1/5413.64
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 13374.51, WCT time 3419.67, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36608 iterations)
Info:Linear Algebra: Lingen CPU time 227.9, WCT time 57.76
Info:Linear Algebra: Mksol: CPU time 7294.84,  WCT time 1862.84, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (18432 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7024.77
Info:Polynomial Selection (root optimized): Rootsieve time: 7021.53
Info:Quadratic Characters: Total cpu/real time for characters: 38.82/15.706
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54258/39.400/47.722/52.510/0.973
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44320/38.710/42.517/48.450/0.978
Info:Polynomial Selection (size optimized): Total time: 15628.1
Info:Generate Free Relations: Total cpu/real time for freerel: 251.62/63.6527
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 449989/31084.5
Info:root: Cleaning up computation data in /tmp/cado.f2kg1slm
1279505497147786469547865983722896943038171094188054673674881175357 5425155047216460252903532977233328048168045962974620822931975040849

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)

12603491957170137357546795310256649291653955554646372805386857346978685962261219384158774146938094693257300156572986919416492277030658999097211098319059314383794529975893<170>

54584251067689774145931376465985390728244200335426035717971063<62>
230899787221420019305298564406066226059825386933529399686729692205345946378386860124976744431870650396363411<108>

Number: n
N=12603491957170137357546795310256649291653955554646372805386857346978685962261219384158774146938094693257300156572986919416492277030658999097211098319059314383794529975893  ( 170 digits)
SNFS difficulty: 196 digits.
Divisors found:

Mon Feb 20 06:44:08 2023  prp62 factor: 54584251067689774145931376465985390728244200335426035717971063
Mon Feb 20 06:44:08 2023  prp108 factor: 230899787221420019305298564406066226059825386933529399686729692205345946378386860124976744431870650396363411
Mon Feb 20 06:44:08 2023  elapsed time 01:47:18 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.100).
Factorization parameters were as follows:
#
# N = 7x10^196-8 = 69(195)2
#
n: 12603491957170137357546795310256649291653955554646372805386857346978685962261219384158774146938094693257300156572986919416492277030658999097211098319059314383794529975893
m: 1000000000000000000000000000000000000000
deg: 5
c5: 35
c0: -4
skew: 0.65
# Murphy_E = 2.418e-11
type: snfs
lss: 1
rlim: 12700000
alim: 12700000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 12700000/12700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 24775081)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1630419 hash collisions in 13500867 relations (12634154 unique)
Msieve: matrix is 1838934 x 1839161 (519.9 MB)

Sieving start time: 2023/02/19 20:11:41
Sieving end time  : 2023/02/20 04:56:33

Total sieving time: 8hrs 44min 52secs.

Total relation processing time: 1hrs 39min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 31sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,12700000,12700000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1088275966443357192080742386609138992398844289924650860392304186097234034100591945483363993781469556084220553366800434078420563282712717814910408219970493<154>

705853404944608207699763798185789333362122611207411570193<57>
1541787513979279544349835868031738118085055373001780379165608673285520655193091046537326911717101<97>

1088275966443357192080742386609138992398844289924650860392304186097234034100591945483363993781469556084220553366800434078420563282712717814910408219970493=705853404944608207699763798185789333362122611207411570193*1541787513979279544349835868031738118085055373001780379165608673285520655193091046537326911717101

cado polynomial
n: 1088275966443357192080742386609138992398844289924650860392304186097234034100591945483363993781469556084220553366800434078420563282712717814910408219970493
skew: 0.41
type: snfs
c0: -2
c5: 175
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 175*x^5-2
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13600000
tasks.lim1 = 13600000
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 = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 705853404944608207699763798185789333362122611207411570193 1541787513979279544349835868031738118085055373001780379165608673285520655193091046537326911717101
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2420.88/137.215
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 103.1/80.9383
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 80.5s
Info:Quadratic Characters: Total cpu/real time for characters: 62.45/11.527
Info:Filtering - Singleton removal: Total cpu/real time for purge: 329.3/223.907
Info:Filtering - Merging: Merged matrix has 2163060 rows and total weight 367774914 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 486.95/28.7166
Info:Filtering - Merging: Total cpu/real time for replay: 40.38/35.2785
Info:Generate Factor Base: Total cpu/real time for makefb: 2.1/0.326843
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25935532
Info:Lattice Sieving: Average J: 3790.22 for 1278739 special-q, max bucket fill -bkmult 1.0,1s:1.086810
Info:Lattice Sieving: Total time: 400719s
Info:Linear Algebra: Total cpu/real time for bwc: 64913.7/8153.69
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 42871.82, WCT time 5390.52, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.04, comm-wait 0.0 (68096 iterations)
Info:Linear Algebra: Lingen CPU time 387.16, WCT time 25.07
Info:Linear Algebra: Mksol: CPU time 21234.68,  WCT time 2687.43, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.04, comm-wait 0.0 (34304 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 70.47/6.49814
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 434.1/319.629
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 222.70000000000002s
Info:Square Root: Total cpu/real time for sqrt: 2420.88/137.215
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 829552/42131.9
Info:root: Cleaning up computation data in /tmp/cado.xlbep1mq
705853404944608207699763798185789333362122611207411570193 1541787513979279544349835868031738118085055373001780379165608673285520655193091046537326911717101

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)]
13th Gen Intel(R) Core(TM) i7-13700KF (24 processeurs)

874999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<198>

1083370047839134213312345378132220135705592605341192288368856096777079685184603<79>
807664935674800615548641019241871936635894567584820368910539672855154254952861661112029365258722216137267573556018162733<120>

Number: n
N=874999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999  ( 198 digits)
SNFS difficulty: 197 digits.
Divisors found:

Thu Feb  9 15:11:14 2023  prp79 factor: 1083370047839134213312345378132220135705592605341192288368856096777079685184603
Thu Feb  9 15:11:14 2023  prp120 factor: 807664935674800615548641019241871936635894567584820368910539672855154254952861661112029365258722216137267573556018162733
Thu Feb  9 15:11:14 2023  elapsed time 01:52:41 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.106).
Factorization parameters were as follows:
#
# N = 7x10^198-8 = 69(197)2
#
n: 874999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
m: 1000000000000000000000000000000000000000
deg: 5
c5: 875
c0: -1
skew: 0.26
# Murphy_E = 2.165e-11
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 24963031)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1831159 hash collisions in 14096647 relations (13035196 unique)
Msieve: matrix is 1881992 x 1882217 (538.1 MB)

Sieving start time: 2023/02/09 02:26:27
Sieving end time  : 2023/02/09 13:18:11

Total sieving time: 10hrs 51min 44secs.

Total relation processing time: 1hrs 43min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 5sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13000000,13000000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

119863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863<198>

1342279643339812593637420238297484340184777727172235278362859<61>
89298093950371800486396486831243338315911435626725792740705072626238363639474286309021735843097599587952493311259273538735811832779139157<137>

Number: n
N=119863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863  ( 198 digits)
SNFS difficulty: 199 digits.
Divisors found:

Wed Feb 15 19:22:41 2023  prp61 factor: 1342279643339812593637420238297484340184777727172235278362859
Wed Feb 15 19:22:41 2023  prp137 factor: 89298093950371800486396486831243338315911435626725792740705072626238363639474286309021735843097599587952493311259273538735811832779139157
Wed Feb 15 19:22:41 2023  elapsed time 02:29:16 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.104).
Factorization parameters were as follows:
#
# N = 7x10^199-8 = 69(198)2
#
n: 119863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863
m: 5000000000000000000000000000000000000000
deg: 5
c5: 14
c0: -5
skew: 0.81
# Murphy_E = 1.681e-11
type: snfs
lss: 1
rlim: 14400000
alim: 14400000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 32834143)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1927873 hash collisions in 14044839 relations (12848749 unique)
Msieve: matrix is 2173172 x 2173399 (614.8 MB)

Sieving start time: 2023/02/15 03:27:36
Sieving end time  : 2023/02/15 16:53:08

Total sieving time: 13hrs 25min 32secs.

Total relation processing time: 2hrs 20min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 56sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14400000,14400000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1241648088204431156234578472921033018215858832318541913549341274908403759239689238499347494138980716170875491777155324088455547077774493373523653930512631512842712306990140644237<178>

20329230570956760868806719864605331973246649<44>
177080072316741700793158610905029835756461987944147<51>
344911672426643992718509081939853995229488233998522067457043851889096048674534121879<84>

Number: n
N=1241648088204431156234578472921033018215858832318541913549341274908403759239689238499347494138980716170875491777155324088455547077774493373523653930512631512842712306990140644237  ( 178 digits)
SNFS difficulty: 200 digits.
Divisors found:

Tue May 16 03:05:44 2023  prp44 factor: 20329230570956760868806719864605331973246649
Tue May 16 03:05:44 2023  prp51 factor: 177080072316741700793158610905029835756461987944147
Tue May 16 03:05:44 2023  prp84 factor: 344911672426643992718509081939853995229488233998522067457043851889096048674534121879
Tue May 16 03:05:44 2023  elapsed time 03:23:34 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.089).
Factorization parameters were as follows:
#
# N = 7x10^200-8 = 69(199)2
#
n: 1241648088204431156234578472921033018215858832318541913549341274908403759239689238499347494138980716170875491777155324088455547077774493373523653930512631512842712306990140644237
m: 10000000000000000000000000000000000000000
deg: 5
c5: 7
c0: -8
skew: 1.03
# Murphy_E = 1.618e-11
type: snfs
lss: 1
rlim: 15600000
alim: 15600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15600000/15600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 26205097)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1774019 hash collisions in 13623773 relations (12583768 unique)
Msieve: matrix is 2511528 x 2511764 (712.4 MB)

Sieving start time: 2023/05/15 10:24:23
Sieving end time  : 2023/05/15 23:41:55

Total sieving time: 13hrs 17min 32secs.

Total relation processing time: 3hrs 13min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 1sec.

Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15600000,15600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

9738770193521478038883956184018979425547314371933329310278597455659134630554838813258818276382603234868987221208520796056524680262666554805201<142>

16349577890467796333236691967492781509923<41>
595658815093900325112486246846147557562785652936872120388211480912253637541782872593543842246258955387<102>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:599902376
Step 1 took 35228ms
Step 2 took 15544ms
********** Factor found in step 2: 16349577890467796333236691967492781509923
Found prime factor of 41 digits: 16349577890467796333236691967492781509923
Prime cofactor 595658815093900325112486246846147557562785652936872120388211480912253637541782872593543842246258955387 has 102 digits

15652951699463327370304114490161001788908765652951699463327370304114490161001788908765652951699463327370304114490161001788908765652951699463327370304114490161001788908765652951699463327370304114490161<200>

5339777926965782628534805609772585211784078824671970953<55>
2931386269907630880247562490078098241839015464730312594246027309918786350758282312212167440421072060135508525451885787532867177359077187238143337<145>

Number: n
N=15652951699463327370304114490161001788908765652951699463327370304114490161001788908765652951699463327370304114490161001788908765652951699463327370304114490161001788908765652951699463327370304114490161  ( 200 digits)
SNFS difficulty: 202 digits.
Divisors found:

Mon Jun 19 19:22:15 2023  prp55 factor: 5339777926965782628534805609772585211784078824671970953
Mon Jun 19 19:22:15 2023  prp145 factor: 2931386269907630880247562490078098241839015464730312594246027309918786350758282312212167440421072060135508525451885787532867177359077187238143337
Mon Jun 19 19:22:15 2023  elapsed time 03:46:38 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.085).
Factorization parameters were as follows:
#
# N = 7x10^202-8 = 69(201)2
#
n: 15652951699463327370304114490161001788908765652951699463327370304114490161001788908765652951699463327370304114490161001788908765652951699463327370304114490161001788908765652951699463327370304114490161
m: 10000000000000000000000000000000000000000
deg: 5
c5: 175
c0: -2
skew: 0.41
# Murphy_E = 1.156e-11
type: snfs
lss: 1
rlim: 16400000
alim: 16400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16400000/16400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 48200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2185933 hash collisions in 14714173 relations (13244625 unique)
Msieve: matrix is 2607229 x 2607454 (737.9 MB)

Sieving start time: 2023/06/18 20:22:22
Sieving end time  : 2023/06/19 15:35:20

Total sieving time: 19hrs 12min 58secs.

Total relation processing time: 3hrs 32min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 7sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16400000,16400000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

295111260571914515582954082762879523456274997038951788569079492962085568033612029205669141890127718881246736764606535100687833778633133284402389498714542356994430754002687539<174>

94909375366091923939112712270795591429108231853745136767721021557331577<71>
3109400514265193496620780751428311411151731516597675519218405208894895867951803169133611902695565514507<103>

Number: n
N=295111260571914515582954082762879523456274997038951788569079492962085568033612029205669141890127718881246736764606535100687833778633133284402389498714542356994430754002687539
  ( 174 digits)
SNFS difficulty: 202 digits.
Divisors found:

Sat Aug 12 22:47:12 2023  prp71 factor: 94909375366091923939112712270795591429108231853745136767721021557331577
Sat Aug 12 22:47:12 2023  prp103 factor: 3109400514265193496620780751428311411151731516597675519218405208894895867951803169133611902695565514507
Sat Aug 12 22:47:12 2023  elapsed time 02:17:55 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.095).
Factorization parameters were as follows:
#
# N = 7x10^203-8 = 69(202)2
#
n: 295111260571914515582954082762879523456274997038951788569079492962085568033612029205669141890127718881246736764606535100687833778633133284402389498714542356994430754002687539
m: 10000000000000000000000000000000000000000
deg: 5
c5: 875
c0: -1
skew: 0.26
# Murphy_E = 1.337e-11
type: snfs
lss: 1
rlim: 16900000
alim: 16900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16900000/16900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2505272 hash collisions in 17480306 relations (15517380 unique)
Msieve: matrix is 2098295 x 2098520 (597.1 MB)

Sieving start time: 2023/08/12 07:10:19
Sieving end time  : 2023/08/12 20:28:44

Total sieving time: 13hrs 18min 25secs.

Total relation processing time: 2hrs 10min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 31sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16900000,16900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

30488748907525646057882583239400681736220048541381403453804471765398373022430486927184385703757626749445651580658620768439023262974522251009370634661222813221977297131765472103<176>

1350218825284886407338661195297449941529023801<46>
22580598297533542782104791691266629273479937737495909968398725666639438447287620808962379360822021240267742700977280941193049740703<131>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2490546412
Step 1 took 122359ms
Step 2 took 39432ms
********** Factor found in step 2: 1350218825284886407338661195297449941529023801
Found prime factor of 46 digits: 1350218825284886407338661195297449941529023801
Prime cofactor 22580598297533542782104791691266629273479937737495909968398725666639438447287620808962379360822021240267742700977280941193049740703 has 131 digits

86681984416988521817709237654967593425767802376879243199031948183400613162724028714993798462184479127039036922037433573387183412284701537173138977599451008493210077402493241<173>

1759884918540864372385373350937385143994693827475314281067798342145481<70>
49254348113203501945239539513192830556757494506056469716646096384543599684057012627785256652172903806961<104>

Number: n
N=86681984416988521817709237654967593425767802376879243199031948183400613162724028714993798462184479127039036922037433573387183412284701537173138977599451008493210077402493241  ( 173 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sat Mar  2 00:39:03 2024  prp70 factor: 1759884918540864372385373350937385143994693827475314281067798342145481
Sat Mar  2 00:39:03 2024  prp104 factor: 49254348113203501945239539513192830556757494506056469716646096384543599684057012627785256652172903806961
Sat Mar  2 00:39:03 2024  elapsed time 02:48:15 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.081).
Factorization parameters were as follows:
#
# N = 7x10^206-8 = 69(205)2
#
n: 86681984416988521817709237654967593425767802376879243199031948183400613162724028714993798462184479127039036922037433573387183412284701537173138977599451008493210077402493241
m: 100000000000000000000000000000000000000000
deg: 5
c5: 35
c0: -4
skew: 0.65
# Murphy_E = 9.195e-12
type: snfs
lss: 1
rlim: 19400000
alim: 19400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19400000/19400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 64100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3477831 hash collisions in 20601655 relations (17606000 unique)
Msieve: matrix is 2337601 x 2337826 (656.4 MB)

Sieving start time: 2024/02/29 17:56:49
Sieving end time  : 2024/03/01 21:29:35

Total sieving time: 27hrs 32min 46secs.

Total relation processing time: 2hrs 40min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 27sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19400000,19400000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

11986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863<206>

78203023433926113909110504392320991137752357680063114019947778489<65>
153271585209109759812635869357330335316254871426981915897363451830882767720010379733786692055862943189824327263231543442003469797183346539967<141>

Number: n
N=11986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863  ( 206 digits)
SNFS difficulty: 207 digits.
Divisors found:

Wed Jun  5 15:07:19 2024  prp65 factor: 78203023433926113909110504392320991137752357680063114019947778489
Wed Jun  5 15:07:19 2024  prp141 factor: 153271585209109759812635869357330335316254871426981915897363451830882767720010379733786692055862943189824327263231543442003469797183346539967
Wed Jun  5 15:07:19 2024  elapsed time 03:19:21 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.950).
Factorization parameters were as follows:
#
# N = 7x10^207-8 = 69(206)2
#
n: 11986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863
m: 100000000000000000000000000000000000000000
deg: 5
c5: 175
c0: -2
skew: 0.41
# Murphy_E = 7.113e-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, 49950000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4625893 hash collisions in 21322564 relations (16776208 unique)
Msieve: matrix is 2480568 x 2480794 (697.4 MB)

Sieving start time: 2024/06/04 16:12:04
Sieving end time  : 2024/06/05 11:47:34

Total sieving time: 19hrs 35min 30secs.

Total relation processing time: 3hrs 10min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 11sec.

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) ----------

4279440395452778738376801112615239003545293258944519075724122052161364193977269536147782658260697333310396602590335836491391693987177723430405167033841060604665017144423347662982959420151464659<193>

1599768520916673349127905050129202240604430394782094173788943229538930465158748359<82>
2675037256640506576095287014424662688085241085168664548678047872617526021281981406005969647403613143339175735701<112>

Number: n
N=4279440395452778738376801112615239003545293258944519075724122052161364193977269536147782658260697333310396602590335836491391693987177723430405167033841060604665017144423347662982959420151464659  ( 193 digits)
SNFS difficulty: 207 digits.
Divisors found:

Sat Aug 17 11:40:44 2024  prp82 factor: 1599768520916673349127905050129202240604430394782094173788943229538930465158748359
Sat Aug 17 11:40:44 2024  prp112 factor: 2675037256640506576095287014424662688085241085168664548678047872617526021281981406005969647403613143339175735701
Sat Aug 17 11:40:44 2024  elapsed time 02:16:54 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.930).
Factorization parameters were as follows:
#
# N = 7x10^208-8 = 69(207)2
#
n: 4279440395452778738376801112615239003545293258944519075724122052161364193977269536147782658260697333310396602590335836491391693987177723430405167033841060604665017144423347662982959420151464659
m: 100000000000000000000000000000000000000000
deg: 5
c5: 875
c0: -1
skew: 0.26
# Murphy_E = 8.218e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
q0: 50000
qintsize: 50000
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [50000, 34450000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 7553014 hash collisions in 25877263 relations (16848756 unique)
Msieve: matrix is 2082768 x 2082993 (591.7 MB)

Sieving start time: 2024/08/16 14:36:40
Sieving end time  : 2024/08/17 09:12:44

Total sieving time: 18hrs 36min 4secs.

Total relation processing time: 2hrs 8min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 49sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2167014789197298421114342814084305381875147234595990383255887171770987840620341769440930192967094959974567161628962426281205870860175034734823554246101340118167<160>

1028216682397946575874512407670642161694035767361254723<55>
2107546810214665807663063869523730436964621799074902115965125164874090810729466758495302751258945351654429<106>

Number: n
N=2167014789197298421114342814084305381875147234595990383255887171770987840620341769440930192967094959974567161628962426281205870860175034734823554246101340118167  ( 160 digits)
SNFS difficulty: 209 digits.
Divisors found:

Mon Dec 16 07:54:09 2024  prp55 factor: 1028216682397946575874512407670642161694035767361254723
Mon Dec 16 07:54:09 2024  prp106 factor: 2107546810214665807663063869523730436964621799074902115965125164874090810729466758495302751258945351654429
Mon Dec 16 07:54:09 2024  elapsed time 03:01:26 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.110).
Factorization parameters were as follows:
#
# N = 7x10^209-8 = 69(208)2
#
n: 2167014789197298421114342814084305381875147234595990383255887171770987840620341769440930192967094959974567161628962426281205870860175034734823554246101340118167
m: 500000000000000000000000000000000000000000
deg: 5
c5: 14
c0: -5
skew: 0.81
# Murphy_E = 6.358e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 27
lpba: 27
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0: 50000
qintsize: 50000
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 57/57
Sieved  special-q in [50000, 56050000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8635331 hash collisions in 28331744 relations (17695986 unique)
Msieve: matrix is 2385490 x 2385715 (668.7 MB)

Sieving start time: 2024/12/14 22:25:47
Sieving end time  : 2024/12/16 04:46:01

Total sieving time: 30hrs 20min 14secs.

Total relation processing time: 2hrs 52min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 29sec.

Prototype def-par.txt line would be:
snfs,209,5,0,0,0,0,0,0,0,0,22000000,22000000,27,27,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

874999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<210>

251969569456506731086895422672250925459298507391<48>
3472641564961028095194941041816383793327717065454424834262167451762474756331291926419597695476113368848024876985368291327060463508802442257399900287336697979804289<163>

12/13/24 20:22:59 v1.34.5 @ TRIGKEY,
12/13/24 20:22:59 v1.34.5 @ TRIGKEY, ****************************
12/13/24 20:22:59 v1.34.5 @ TRIGKEY, Starting factorization of 6999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999992
12/13/24 20:22:59 v1.34.5 @ TRIGKEY, using pretesting plan: normal
12/13/24 20:22:59 v1.34.5 @ TRIGKEY, no tune info: using qs/gnfs crossover of 100 digits
12/13/24 20:22:59 v1.34.5 @ TRIGKEY, ****************************
12/13/24 20:22:59 v1.34.5 @ TRIGKEY, div: found prime factor = 2
12/13/24 20:22:59 v1.34.5 @ TRIGKEY, div: found prime factor = 2
12/13/24 20:22:59 v1.34.5 @ TRIGKEY, div: found prime factor = 2
12/13/24 20:22:59 v1.34.5 @ TRIGKEY, rho: x^2 + 3, starting 1000 iterations on C210
12/13/24 20:22:59 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C210
12/13/24 20:22:59 v1.34.5 @ TRIGKEY, rho: x^2 + 1, starting 1000 iterations on C210
12/13/24 20:22:59 v1.34.5 @ TRIGKEY, pm1: starting B1 = 150K, B2 = gmp-ecm default on C210
12/13/24 20:22:59 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 0.00
12/13/24 20:22:59 v1.34.5 @ TRIGKEY, scheduled 30 curves at B1=2000 toward target pretesting depth of 64.62
12/13/24 20:22:59 v1.34.5 @ TRIGKEY, Finished 30 curves using Lenstra ECM method on C210 input, B1=2K, B2=gmp-ecm default
12/13/24 20:22:59 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 15.18
12/13/24 20:22:59 v1.34.5 @ TRIGKEY, scheduled 74 curves at B1=11000 toward target pretesting depth of 64.62
12/13/24 20:23:02 v1.34.5 @ TRIGKEY, Finished 74 curves using Lenstra ECM method on C210 input, B1=11K, B2=gmp-ecm default
12/13/24 20:23:02 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 20.24
12/13/24 20:23:02 v1.34.5 @ TRIGKEY, scheduled 214 curves at B1=50000 toward target pretesting depth of 64.62
12/13/24 20:23:43 v1.34.5 @ TRIGKEY, nfs: commencing nfs on c211: 6999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999992
12/13/24 20:23:43 v1.34.5 @ TRIGKEY, nfs: input divides 7*10^210 - 8
12/13/24 20:23:43 v1.34.5 @ TRIGKEY, nfs: using supplied cofactor: 874999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
12/13/24 20:23:43 v1.34.5 @ TRIGKEY, nfs: commencing snfs on c210: 874999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
12/13/24 20:23:43 v1.34.5 @ TRIGKEY, gen: best 2 polynomials:
n: 874999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
# 7*10^210-8, difficulty: 210.00, anorm: -1.00e+030, rnorm: 1.00e+048
# scaled difficulty: 213.00, suggest sieving rational side
# size = 1.618e-014, alpha = 0.925, combined = 6.098e-012, rroots = 1
type: snfs
size: 210
skew: 1.0000
c5: 7
c0: -8
Y1: -1
Y0: 1000000000000000000000000000000000000000000
m: 1000000000000000000000000000000000000000000
n: 874999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
# 7*10^210-8, difficulty: 210.00, anorm: -1.00e+036, rnorm: 1.00e+041
# scaled difficulty: 210.00, suggest sieving algebraic side
# size = 1.547e-010, alpha = 1.653, combined = 4.542e-012, rroots = 2
type: snfs
size: 210
skew: 1.0000
c6: 7
c0: -8
Y1: -1
Y0: 100000000000000000000000000000000000
m: 100000000000000000000000000000000000
12/13/24 20:23:45 v1.34.5 @ TRIGKEY, test: fb generation took 1.5301 seconds
12/13/24 20:23:45 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 0 on the rational side over range 21400000-21402000
skew: 1.0000
c5: 7
c0: -8
Y1: -1
Y0: 1000000000000000000000000000000000000000000
m: 1000000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
12/13/24 20:26:39 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
12/13/24 20:26:41 v1.34.5 @ TRIGKEY, test: fb generation took 2.2289 seconds
12/13/24 20:26:41 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 1 on the algebraic side over range 21400000-21402000
skew: 1.0000
c6: 7
c0: -8
Y1: -1
Y0: 100000000000000000000000000000000000
m: 100000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
12/13/24 20:30:02 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
12/13/24 20:30:02 v1.34.5 @ TRIGKEY, gen: selected polynomial:
n: 874999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
# 7*10^210-8, difficulty: 210.00, anorm: -1.00e+030, rnorm: 1.00e+048
# scaled difficulty: 213.00, suggest sieving rational side
# size = 1.618e-014, alpha = 0.925, combined = 6.098e-012, rroots = 1
type: snfs
size: 210
skew: 1.0000
c5: 7
c0: -8
Y1: -1
Y0: 1000000000000000000000000000000000000000000
m: 1000000000000000000000000000000000000000000
12/15/24 09:52:02 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
12/15/24 09:54:01 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 22224020
12/15/24 12:07:46 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
12/15/24 12:09:49 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 23428847
12/15/24 14:23:11 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
12/15/24 14:25:18 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 24623374
12/15/24 16:56:34 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
12/15/24 16:58:48 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 25952122
12/15/24 19:28:52 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
12/15/24 19:31:10 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 27258998
12/15/24 22:15:47 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
12/15/24 22:19:56 v1.34.5 @ TRIGKEY, nfs: commencing msieve linear algebra
12/16/24 01:03:10 v1.34.5 @ TRIGKEY, nfs: commencing msieve sqrt
12/16/24 01:05:56 v1.34.5 @ TRIGKEY, prp163 = 3472641564961028095194941041816383793327717065454424834262167451762474756331291926419597695476113368848024876985368291327060463508802442257399900287336697979804289
12/16/24 01:05:56 v1.34.5 @ TRIGKEY, prp48 = 251969569456506731086895422672250925459298507391
12/16/24 01:05:57 v1.34.5 @ TRIGKEY, NFS elapsed time = 189733.5386 seconds.
12/16/24 01:05:57 v1.34.5 @ TRIGKEY,
12/16/24 01:05:57 v1.34.5 @ TRIGKEY,
12/13/24 20:30:02 v1.34.5 @ TRIGKEY, test: test sieving took 379.13 seconds

YAFU

756546566042111517035866239097691376620228893445164652379702156660825327234653671944465046322625914434193965925685310072327284065317844090432575856121021760895502937<165>

21393834620458083559093990431829129<35>
35362831370055359686716633416426910913388026057350969709921479886896832948375303286620436296842363278111803853590618004563768367953<131>

Resuming ECM residue saved by @3b550baae1d1 with GMP-ECM 7.0.5-dev on Wed Nov 16 14:07:42 2022 
Input number is 756546566042111517035866239097691376620228893445164652379702156660825327234653671944465046322625914434193965925685310072327284065317844090432575856121021760895502937 (165 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1653425328
Step 1 took 0ms
Step 2 took 2693ms
********** Factor found in step 2: 21393834620458083559093990431829129
Found prime factor of 35 digits: 21393834620458083559093990431829129
Prime cofactor 35362831370055359686716633416426910913388026057350969709921479886896832948375303286620436296842363278111803853590618004563768367953 has 131 digits

1752008708457832911690452156863434429969643686771780117180241910959840599151333396996969827273197542766169301607364117682413230116268331731344470799839951637386841705781443365793355821494089<190>

44591369090570468168225237815492729129200516942240409634569389228063331750052028271415002480686784822189619406813370371470954023<128>

7586574351792559397852636991283169136177680571751131665923<58>
5877668500017323136239582622587271671182808482709011467643867927154701<70>

44591369090570468168225237815492729129200516942240409634569389228063331750052028271415002480686784822189619406813370371470954023=7586574351792559397852636991283169136177680571751131665923*5877668500017323136239582622587271671182808482709011467643867927154701

cado polynomial
n: 44591369090570468168225237815492729129200516942240409634569389228063331750052028271415002480686784822189619406813370371470954023
skew: 129988.777
c0: 2525969044387668991658886491400
c1: -61924464767728658207699430
c2: -1031614349023493774821
c3: 1160015550522455
c4: -9821221296
c5: 91440
Y0: -3979825942574869236403253
Y1: 876378617216584067
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 5.627e-07
# f(x) = 91440*x^5-9821221296*x^4+1160015550522455*x^3-1031614349023493774821*x^2-61924464767728658207699430*x+2525969044387668991658886491400
# g(x) = 876378617216584067*x-3979825942574869236403253

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: 5877668500017323136239582622587271671182808482709011467643867927154701 7586574351792559397852636991283169136177680571751131665923
Info:Square Root: Total cpu/real time for sqrt: 611.76/183.674
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 263.9/219.456
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 207.6s
Info:Square Root: Total cpu/real time for sqrt: 611.76/183.674
Info:Filtering - Singleton removal: Total cpu/real time for purge: 125.22/134.057
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 101.21/110.657
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 110.5s
Info:Filtering - Merging: Merged matrix has 1518426 rows and total weight 258232052 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 359.06/101.42
Info:Filtering - Merging: Total cpu/real time for replay: 58.97/49.0395
Info:Generate Factor Base: Total cpu/real time for makefb: 39.08/10.7451
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23151295
Info:Lattice Sieving: Average J: 7818.66 for 46789 special-q, max bucket fill -bkmult 1.0,1s:1.066760
Info:Lattice Sieving: Total time: 82465s
Info:Linear Algebra: Total cpu/real time for bwc: 36338.2/9353.82
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 23168.61, WCT time 5923.7, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (47616 iterations)
Info:Linear Algebra: Lingen CPU time 295.68, WCT time 75.11
Info:Linear Algebra: Mksol: CPU time 12607.44,  WCT time 3255.27, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (23808 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5667.71
Info:Polynomial Selection (root optimized): Rootsieve time: 5664.56
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): 38945/38.430/45.535/50.370/0.856
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30670/36.830/40.799/46.340/0.902
Info:Polynomial Selection (size optimized): Total time: 6574.69
Info:Quadratic Characters: Total cpu/real time for characters: 58.85/26.8112
Info:Generate Free Relations: Total cpu/real time for freerel: 257.82/65.0744
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 211459/20046.9
Info:root: Cleaning up computation data in /tmp/cado.enzh8336
5877668500017323136239582622587271671182808482709011467643867927154701 7586574351792559397852636991283169136177680571751131665923

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)

7680955126491461512043459424869382021185398172696073198301635572735356799913318316774311117437832060701668196239838711227897188283020621808253194874492951539<157>

429016814083846891876748451136085529527799023987464751311996494182504707507415198212043707513447201546532422830423173571307008341140861194785592784573568158063459<162>

226668269085258712325228947383901828085083748819471798259353294552949528349688061021284307970026489230514366719203541587107480315405611696504815639732193929564817562921535423790611901495629968871112767517<204>

4667692259559223480644878424883925607474941181479722879585510095924569840831056068727213535550647520763576149071874469104277797271193040461599841221436980914599858198629<169>

2051487333571197638303902001035901337527878210915040694935861354355452661804408240504442841418520067326540706415248671852515172777501906991313802989201303757943535660588254043925983502476752207234176661<202>

24355249736607554875802372395441292364305771433543693515139996994674849009625243391991012570982907996752748822009618318735677830590229294670066530638345874629060484820417493345274078256214914215367<197>

2348804123157866480551901860252865541030252597106273320269508495960056908168469653450728800365071269427965532977209889136445386948702117950232196064746463372077416583899283279198990685313934448232357125600622768636083<217>

3344834726534692496668058321808512960299075680129348308781901808359677568035616016815270016021318625341586532761361911740623076530930424922860856559635814921111056103711907470603697252707<187>

11779366779068537225042021906452218157<38>
283957091180684668075868715823481373274410130864457221023971088338318750846677714300341843517875161456201102051504337223421808715280472559987647123151<150>

Resuming ECM residue saved by @3b550baae1d1 with GMP-ECM 7.0.5-dev on Wed Nov 16 12:42:00 2022 
Input number is 3344834726534692496668058321808512960299075680129348308781901808359677568035616016815270016021318625341586532761361911740623076530930424922860856559635814921111056103711907470603697252707 (187 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2949551725
Step 1 took 0ms
Step 2 took 3218ms
********** Factor found in step 2: 11779366779068537225042021906452218157
Found prime factor of 38 digits: 11779366779068537225042021906452218157
Prime cofactor 283957091180684668075868715823481373274410130864457221023971088338318750846677714300341843517875161456201102051504337223421808715280472559987647123151 has 150 digits

232678628433586403247657625493576359868143211316950594525137165741633287971356143045790968301270204102135570772367442187654904013301860915086034576421838766159982411558072707946569604211696473298748099<201>

46615040370077177257644649154425569478462958259090712391445040105435209794148322198130040533503713071216293693113206403763260408769020298363718940969542613470473652867939993557733152058020662916481<197>

43811216441723865807432700665379410852594847<44>
1063997856167332379466249949546798771202645498776105037742499541648384772072041617699493954063027331707454628642266615933670478326430736611634729457005023<154>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=703224017
Step 1 took 135132ms
Step 2 took 34116ms
********** Factor found in step 2: 43811216441723865807432700665379410852594847
Found probable prime factor of 44 digits: 43811216441723865807432700665379410852594847
Probable prime cofactor 1063997856167332379466249949546798771202645498776105037742499541648384772072041617699493954063027331707454628642266615933670478326430736611634729457005023 has 154 digits

874999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<225>

406852027858070697058362524239966161092089<42>

2150659060510426019858408319598263037507007845334870874606767775934876578671706074517423028394233349060369494491147404447647384317376083842829299229425733752999628332356622827711499191<184>

Resuming ECM residue saved by @e728b1f474c5 with GMP-ECM 7.0.5-dev on Sat Feb  4 10:11:26 2023 
Input number is 874999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 (225 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3189378613
Step 1 took 0ms
Step 2 took 13918ms
********** Factor found in step 2: 406852027858070697058362524239966161092089
Found prime factor of 42 digits: 406852027858070697058362524239966161092089
Composite cofactor 2150659060510426019858408319598263037507007845334870874606767775934876578671706074517423028394233349060369494491147404447647384317376083842829299229425733752999628332356622827711499191 has 184 digits

63191872921389100649870276473399222211317912874555473158970321434958450404703503262827500638003203835179042761275988497288090080383167785190501433866928156321931986002198513867254298605489692491952587202744436762639763<218>

156118112869394453258295648504975692447<39>

404769643700819399923573640259142893615215168416631055828399108096756631075767714115344103885806631221473778346897408137259984135882641840263736752888501687389292237925485184140429<180>

Resuming ECM residue saved by @3b550baae1d1 with GMP-ECM 7.0.5-dev on Wed Nov 16 13:45:25 2022 
Input number is 63191872921389100649870276473399222211317912874555473158970321434958450404703503262827500638003203835179042761275988497288090080383167785190501433866928156321931986002198513867254298605489692491952587202744436762639763 (218 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2890139501
Step 1 took 0ms
Step 2 took 4928ms
********** Factor found in step 2: 156118112869394453258295648504975692447
Found prime factor of 39 digits: 156118112869394453258295648504975692447
Composite cofactor 404769643700819399923573640259142893615215168416631055828399108096756631075767714115344103885806631221473778346897408137259984135882641840263736752888501687389292237925485184140429 has 180 digits

404769643700819399923573640259142893615215168416631055828399108096756631075767714115344103885806631221473778346897408137259984135882641840263736752888501687389292237925485184140429<180>

1941094138159279624725583290085071775921<40>
208526539616805215939549877048691592899556692372655063526500931252569080751986008326550689626200243314536222372651749102172499710416467464349<141>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3011666773
Step 1 took 35451ms
Step 2 took 15150ms
********** Factor found in step 2: 1941094138159279624725583290085071775921
Found prime factor of 40 digits: 1941094138159279624725583290085071775921
Prime cofactor 208526539616805215939549877048691592899556692372655063526500931252569080751986008326550689626200243314536222372651749102172499710416467464349 has 141 digits

87499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<227>

87499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<230>

36975386643088590530406683713701439773399125340790839249365403977118682701380230732558632259290709075608265976926608804037861008806021300992229141956735888031276009075965185251382552176097022965979635894964417<209>

1065563154505980824798329202654891505021906466099356580779075239263523442514159322188393547717708321543879184227546020856729042522132666939854768577364381554370367295823251831623780369<184>

2157791351463205941300286260579616344365273110476725842387054361054353693507178460421285195794492008902258362668297262825467727798557002143134917560361242163409<160>

5042877483835219546466634017668117992175057<43>
427888910325490998980933884973159352939512725961743516857743855347620401764354031388768893898682809596540650578055937<117>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3202779474
Step 1 took 23562ms
Step 2 took 10141ms
********** Factor found in step 2: 5042877483835219546466634017668117992175057
Found prime factor of 43 digits: 5042877483835219546466634017668117992175057
Prime cofactor 427888910325490998980933884973159352939512725961743516857743855347620401764354031388768893898682809596540650578055937 has 117 digits

GMP-ECM

1221883419419794165332993082382067544596187948919107964735566179067752681523814744447521309635898982753061677381556996840905772729864039120976360662896202935960565312923517176857372850490278946367685809157071373613036143<220>

589491371478960437642535006498388264837<39>

2072775749633520225275169745742483943707844914012511590649640517183501767981216634104718048919015908600241921638396539047631442710415370362256365995309027326684835618697900054397539<181>

Resuming ECM residue saved by @3b550baae1d1 with GMP-ECM 7.0.5-dev on Wed Nov 16 13:21:43 2022 
Input number is 1221883419419794165332993082382067544596187948919107964735566179067752681523814744447521309635898982753061677381556996840905772729864039120976360662896202935960565312923517176857372850490278946367685809157071373613036143 (220 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2995519531
Step 1 took 0ms
Step 2 took 3646ms
********** Factor found in step 2: 589491371478960437642535006498388264837
Found prime factor of 39 digits: 589491371478960437642535006498388264837
Composite cofactor 2072775749633520225275169745742483943707844914012511590649640517183501767981216634104718048919015908600241921638396539047631442710415370362256365995309027326684835618697900054397539 has 181 digits

2072775749633520225275169745742483943707844914012511590649640517183501767981216634104718048919015908600241921638396539047631442710415370362256365995309027326684835618697900054397539<181>

2580788665978482272734181527338527495919419197<46>
803155941033880189772291321342669754379718858717269468953003567210340845507757946834721537269925104674520818237035783787626736991904287<135>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3653442032
Step 1 took 107637ms
Step 2 took 6568ms
********** Factor found in step 2: 2580788665978482272734181527338527495919419197
Found prime factor of 46 digits: 2580788665978482272734181527338527495919419197
Prime cofactor 803155941033880189772291321342669754379718858717269468953003567210340845507757946834721537269925104674520818237035783787626736991904287 has 135 digits

75885628649556697839037475358852297079660830266831215618389819704418971927520985628562830265096686963542809468098115347890075981027725573283402035122470731997110275261024880946289452938334904527206515583439067309251715665655725549<230>

87946081511700435624446043300165007269107371747<47>

862865375525125551615875953813313513149744878381120507938435710655807314354050940264180696882533495732492001814147703459345502797434201241622949377253528898753294936652120440478435567<183>

Resuming ECM residue saved by @4d515bd76354 with GMP-ECM 7.0.5-dev on Sat Jan 28 09:53:55 2023 
Input number is 75885628649556697839037475358852297079660830266831215618389819704418971927520985628562830265096686963542809468098115347890075981027725573283402035122470731997110275261024880946289452938334904527206515583439067309251715665655725549 (230 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:2846776537
Step 1 took 0ms
Step 2 took 33399ms
********** Factor found in step 2: 87946081511700435624446043300165007269107371747
Found prime factor of 47 digits: 87946081511700435624446043300165007269107371747
Composite cofactor 862865375525125551615875953813313513149744878381120507938435710655807314354050940264180696882533495732492001814147703459345502797434201241622949377253528898753294936652120440478435567 has 183 digits

5870082882137728592358100777446158045191151146890004373250277065155085439271783123429759620369054639639374437258887984698279181253343531062298208005154033086714469083728538169400779871637349<190>

874999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<240>

2023275998381027487529358866294166479721<40>
432466949986137385398518019117278384935232745055905956613584177521376266424504221008960555318318628400120633688488251881555435791280390266873356048858574222608185465092163956727537606466191556701889319<201>

Resuming ECM residue saved by @fdf2d7f257a8 with GMP-ECM 7.0.5-dev on Sat Dec  3 07:57:22 2022 
Input number is 874999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 (240 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:4022127292
Step 1 took 0ms
Step 2 took 20490ms
********** Factor found in step 2: 2023275998381027487529358866294166479721
Found prime factor of 40 digits: 2023275998381027487529358866294166479721
Prime cofactor 432466949986137385398518019117278384935232745055905956613584177521376266424504221008960555318318628400120633688488251881555435791280390266873356048858574222608185465092163956727537606466191556701889319 has 201 digits

10610939790906372425206110352278945368499011239874422161453570089520769104885783709190004752773381171614908894799240181989988748699405034079044881119159416545815857443820343723165918840249845075677599791115970892906320933<221>

855024585260742461557418795070631974436907<42>
12410099047234451921003910848708031000333280085028563213112980163327455676210488962220942724812038228232014539420792644818659539291876279750620844661656360114207741643123089147119<179>

Resuming ECM residue saved by @4d515bd76354 with GMP-ECM 7.0.5-dev on Sat Jan 28 08:49:56 2023 
Input number is 10610939790906372425206110352278945368499011239874422161453570089520769104885783709190004752773381171614908894799240181989988748699405034079044881119159416545815857443820343723165918840249845075677599791115970892906320933 (221 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:2979805745
Step 1 took 0ms
Step 2 took 32652ms
********** Factor found in step 2: 855024585260742461557418795070631974436907
Found prime factor of 42 digits: 855024585260742461557418795070631974436907
Prime cofactor 12410099047234451921003910848708031000333280085028563213112980163327455676210488962220942724812038228232014539420792644818659539291876279750620844661656360114207741643123089147119 has 179 digits

132375189107413010590015128593040847201210287443267776096822995461422087745839636913767019667170953101361573373676248108925869894099848714069591527987897125567322239031770045385779122541603630862329803328290468986384266263237518910741301059<240>

64574353602453938129621228625007999709216661940426114204113848036351476298046968795381727442909334784662352486766527467164961448764540423211048675604195496146022702195841998568479099616769<188>

223785166240409207161125319693094629156010230179028132992327365728900255754475703324808184143222506393861892583120204603580562659846547314578005115089514066496163682864450127877237851662404092071611253196930946291560102301790281329923273657289<243>

16218984215128952904837705872325808117<38>

13797730071878607459893258489103611594450832642875823208229361704394181961031186782824534372394910550846350392071081210192234796697488190419588639212827413253958291803610681323568185405936920355142015142917<206>

Resuming ECM residue saved by @3b550baae1d1 with GMP-ECM 7.0.5-dev on Wed Nov 16 12:02:00 2022 
Input number is 223785166240409207161125319693094629156010230179028132992327365728900255754475703324808184143222506393861892583120204603580562659846547314578005115089514066496163682864450127877237851662404092071611253196930946291560102301790281329923273657289 (243 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4188184897
Step 1 took 0ms
Step 2 took 6054ms
********** Factor found in step 2: 16218984215128952904837705872325808117
Found prime factor of 38 digits: 16218984215128952904837705872325808117
Composite cofactor 13797730071878607459893258489103611594450832642875823208229361704394181961031186782824534372394910550846350392071081210192234796697488190419588639212827413253958291803610681323568185405936920355142015142917 has 206 digits

1438267110036474453910524992151170913800953694373992185689324441829081267844785500952543760304156509761313409087546908054460189588261110407958301759945822532632226059427553252867082750492709218552495105782491275882643978756383851301261894469<241>

4154241431394332505539798678336474973179419<43>

346216543691283121473787097159547847327145750014100517603019554551998696040744781024548878765534574238807167035779194784461706347654019573720276061292275173237718198698514648218837626200221531793951<198>

Resuming ECM residue saved by @eb41d547015e with GMP-ECM 7.0.5-dev on Wed Nov 30 00:05:50 2022 
Input number is 1438267110036474453910524992151170913800953694373992185689324441829081267844785500952543760304156509761313409087546908054460189588261110407958301759945822532632226059427553252867082750492709218552495105782491275882643978756383851301261894469 (241 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3446260972
Step 1 took 0ms
Step 2 took 14876ms
********** Factor found in step 2: 4154241431394332505539798678336474973179419
Found prime factor of 43 digits: 4154241431394332505539798678336474973179419
Composite cofactor 346216543691283121473787097159547847327145750014100517603019554551998696040744781024548878765534574238807167035779194784461706347654019573720276061292275173237718198698514648218837626200221531793951 has 198 digits

8284802582610516335426378314231714052996345432451085964967389683534801531951451953774561437600771714671827208146885712226033505329947354156832513143783079624917021451669532585570541612516752522964426364898224097834007<217>

7404307905338434145967309086238418340131029904901322740180985084318563522059312384265890608514306953328869440266315964545196488259993671113989798194645134013587067786718299022439761<181>

106287931894612917332543606050531783977871170662894751168904258495082847151798415031503099241037092791162559534522301947232891227195363533010446613065911156164356791185711826765884325393049940328722244554362457027673236475749027823325357<237>

3693369070448252419079599475574101949896616195704757512206758875325485646361576823267507115303238468697407723976854914620365195006171482442203853580517333574322152159502690088684942931<184>

8749999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<253>

16175219153054835842495936018879809<35>

540950939656819653074344349061619512047108617470931412885582502253562875887322860990186282336446941915497955893856849138251987972750877777901264246416073832634288555943279087999764250715306520869204569847200217545966911<219>

Resuming ECM residue saved by @3b550baae1d1 with GMP-ECM 7.0.5-dev on Wed Nov 16 11:43:07 2022 
Input number is 8749999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 (253 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1932883543
Step 1 took 0ms
Step 2 took 5975ms
********** Factor found in step 2: 16175219153054835842495936018879809
Found prime factor of 35 digits: 16175219153054835842495936018879809
Composite cofactor 540950939656819653074344349061619512047108617470931412885582502253562875887322860990186282336446941915497955893856849138251987972750877777901264246416073832634288555943279087999764250715306520869204569847200217545966911 has 219 digits

5602151226070811191497535053460528843075741084576477367309046673922786349958384019463473974006018311031436071451437351943146168128561367565145015686023432998271336193098149689480760612075036814136628465330686983801779883475254497727127216851270888021<250>

4888199347164586628343613198570646178365485566553289406392772141301210203132880591749026661471800829681573829085328340575995373098817874863174845141608834309943961763969294437624211798660053500937687091335291248320729101136575578313829<235>

4871101637262163090066749084528493980519605349181868714167030659575145883852113469086541498737444748691427129902922754929399890954345520410849260910912272465552550583904314254902314932136115150906718011<202>

2084154885723359505010991710905169440881<40>
2337207119600193296058506495789129015889084314086172341588615573589020315936959573587493204865565700054582497003008104252358440570054081922913146491944648985114731<163>

GPU: factor 2084154885723359505010991710905169440881 found in Step 1 with curve 644 (-sigma 3:1422320150)
Computing 1792 Step 1 took 582ms of CPU time / 642093ms of GPU time
Throughput: 2.791 curves per second (on average 358.31ms per Step 1)
********** Factor found in step 1: 2084154885723359505010991710905169440881
Found prime factor of 40 digits: 2084154885723359505010991710905169440881
Prime cofactor 2337207119600193296058506495789129015889084314086172341588615573589020315936959573587493204865565700054582497003008104252358440570054081922913146491944648985114731 has 163 digits
Peak memory usage: 9430MB

7773115580128191049647416827817834504602951099584045359067163862809949848855450707761428827731474533256987973218965151888989285394536366127995541980718893305027118480437656599326565929683551696803245158660526585751578549257139526162232694819<241>

133971020104608661185956807013900748011494581568190510223927815803530603661431750869560489429002418561087304525450496381360644674783435619155655161723152869907571296824016218606983759402199268593093647171941026909808573467526080491<231>

608263575507406335727917758906610942651337907551308739171320496542432420340246110639138484373315107253035668314117173716946735880253757204782384963454740829362449418834233197442273658676907229793318704730334457423882448588776609094964627707367<243>

576887956491439971676449587574558647748257963196526277411243315516835568471985331881993118221154448399515018536234167722096918495291605324247293076883011737527187905263789435236580102705835271127450043151219145559709881398429150576986851569695647100165550361<258>

1186111356141995000184247234831164260393910418182103607691466014124925269917786072493112678645737916045593311725870562191385602583342216766707205780625819493188190582225615372221243822365462443755282574833<205>

1449516404637202296674541537246012461131425673946818668785299351203497813984836141956188216133123186811148758825333009208371922733570959737405774087271803025963584724896062771458999236568652442987320717950888223157<214>

243769367822307976191653947664379657826196854960141381676013710564986050751460002569868363331280204246048514075190531997594091708462900463892655341679735755234263844207622311349900534463007725233934347586273049550546304667688104383910281969219312191<249>

1043029526303672156196363931048648293993424401981299037185297455241107068805270131918353042088450113170147468721271168443451466067546554370754726826439633765531311090016726586494629774041019621437041437875910366451<214>

40453604375340021047813914935622662889<38>

25783352124229728140038651609857152597088652820170677095646582204791795932292389435244184993569438219955677680794759966292990328012132529975104885185934194352005990891895304059<176>

Resuming ECM residue saved by @3b550baae1d1 with GMP-ECM 7.0.5-dev on Wed Nov 16 13:42:29 2022 
Input number is 1043029526303672156196363931048648293993424401981299037185297455241107068805270131918353042088450113170147468721271168443451466067546554370754726826439633765531311090016726586494629774041019621437041437875910366451 (214 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3351369789
Step 1 took 0ms
Step 2 took 4399ms
********** Factor found in step 2: 40453604375340021047813914935622662889
Found prime factor of 38 digits: 40453604375340021047813914935622662889
Composite cofactor 25783352124229728140038651609857152597088652820170677095646582204791795932292389435244184993569438219955677680794759966292990328012132529975104885185934194352005990891895304059 has 176 digits

25783352124229728140038651609857152597088652820170677095646582204791795932292389435244184993569438219955677680794759966292990328012132529975104885185934194352005990891895304059<176>

367183843459640220099166919524893757602480242603351<51>

70219190150897146429983394581471660352586466181738415552798288988742283468586311527133595654990949533908339046498589549558909<125>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2846948241
Step 1 took 93928ms
Step 2 took 30769ms
********** Factor found in step 2: 367183843459640220099166919524893757602480242603351
Found prime factor of 51 digits: 367183843459640220099166919524893757602480242603351
Composite cofactor 70219190150897146429983394581471660352586466181738415552798288988742283468586311527133595654990949533908339046498589549558909 has 125 digits

70219190150897146429983394581471660352586466181738415552798288988742283468586311527133595654990949533908339046498589549558909<125>

196028499229151088630377896069126696046278825352947<51>
358209089122358395961083755822993517988232000523198228200910578077996823247<75>

70219190150897146429983394581471660352586466181738415552798288988742283468586311527133595654990949533908339046498589549558909=196028499229151088630377896069126696046278825352947*358209089122358395961083755822993517988232000523198228200910578077996823247

cado polynomial
n: 70219190150897146429983394581471660352586466181738415552798288988742283468586311527133595654990949533908339046498589549558909
skew: 102856.693
c0: 413458374372765223821675558370
c1: -5833205032672722334961693
c2: -765670932252600997740
c3: -24504603572287
c4: -5308725010
c5: 90600
Y0: -1091628293302555490567952
Y1: 699317198242949
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.353e-07
# f(x) = 90600*x^5-5308725010*x^4-24504603572287*x^3-765670932252600997740*x^2-5833205032672722334961693*x+413458374372765223821675558370
# g(x) = 699317198242949*x-1091628293302555490567952

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

cado log (extracts)
Info:Square Root: Factors: 196028499229151088630377896069126696046278825352947 358209089122358395961083755822993517988232000523198228200910578077996823247
Info:Square Root: Total cpu/real time for sqrt: 311.53/94.1851
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20227/36.700/44.484/47.970/0.871
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16072/36.040/39.867/45.250/0.986
Info:Polynomial Selection (size optimized): Total time: 1965.09
Info:Quadratic Characters: Total cpu/real time for characters: 30.88/12.1707
Info:Generate Factor Base: Total cpu/real time for makefb: 8.52/2.35798
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 187.08/180.938
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 152.4s
Info:Generate Free Relations: Total cpu/real time for freerel: 127.51/32.6906
Info:Square Root: Total cpu/real time for sqrt: 311.53/94.1851
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.85/53.2904
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 52.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 118.13/112.307
Info:Filtering - Merging: Merged matrix has 824560 rows and total weight 140395114 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 166.17/47.3531
Info:Filtering - Merging: Total cpu/real time for replay: 30.34/25.8289
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12054473
Info:Lattice Sieving: Average J: 3784.2 for 235539 special-q, max bucket fill -bkmult 1.0,1s:1.169300
Info:Lattice Sieving: Total time: 69002.1s
Info:Linear Algebra: Total cpu/real time for bwc: 10334.7/2658.99
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6504.86, WCT time 1665.71, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25856 iterations)
Info:Linear Algebra: Lingen CPU time 144.65, WCT time 36.78
Info:Linear Algebra: Mksol: CPU time 3556.08,  WCT time 909.46, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13056 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2623.8
Info:Polynomial Selection (root optimized): Rootsieve time: 2621.35
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 145001/39049.8
Info:root: Cleaning up computation data in /tmp/cado.ox4gklhs
196028499229151088630377896069126696046278825352947 358209089122358395961083755822993517988232000523198228200910578077996823247

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)

45622972128708425579817607049275111723481133818652537166001567214790046120454127918833972442218426338567981141612029360057116050305535737989921368984498268078076566345300825614119749914874839946615410043207804210353389491121530631<230>

40019614494102384215854332999078046229467<41>
1140015282641760522328193284583827452539511949164659031110667211457694367653118073984598197067075529436804847653772554815818517061233905365844336785034728199060508962778657402828222001530693<190>

Resuming ECM residue saved by @5fa1da4f4335 with GMP-ECM 7.0.5-dev on Mon Dec 12 10:46:56 2022 
Input number is 45622972128708425579817607049275111723481133818652537166001567214790046120454127918833972442218426338567981141612029360057116050305535737989921368984498268078076566345300825614119749914874839946615410043207804210353389491121530631 (230 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1960071633
Step 1 took 0ms
Step 2 took 10905ms
********** Factor found in step 2: 40019614494102384215854332999078046229467
Found prime factor of 41 digits: 40019614494102384215854332999078046229467
Prime cofactor 1140015282641760522328193284583827452539511949164659031110667211457694367653118073984598197067075529436804847653772554815818517061233905365844336785034728199060508962778657402828222001530693 has 190 digits