21225879441249949588536327031369727226223300496897837719661319867623476247179611269243912948423235545706747494815578946474699813<128>

570845958758724907500847856847824328360344007246575314571<57>
37183199978159659010008461333528460830589662879505805706453196738969103<71>

Thu May 19 20:51:49 2022  Msieve v. 1.53 (SVN unknown)
Thu May 19 20:51:49 2022  random seeds: 149aa398 6bd6f46e
Thu May 19 20:51:49 2022  factoring 21225879441249949588536327031369727226223300496897837719661319867623476247179611269243912948423235545706747494815578946474699813 (128 digits)
Thu May 19 20:51:49 2022  searching for 15-digit factors
Thu May 19 20:51:50 2022  commencing number field sieve (128-digit input)
Thu May 19 20:51:50 2022  R0: -1000000000000000000000000000000000
Thu May 19 20:51:50 2022  R1: 1
Thu May 19 20:51:50 2022  A0: -8
Thu May 19 20:51:50 2022  A1: 0
Thu May 19 20:51:50 2022  A2: -45
Thu May 19 20:51:50 2022  A3: 0
Thu May 19 20:51:50 2022  A4: 80
Thu May 19 20:51:50 2022  skew 0.56, size 1.017e-13, alpha -0.786, combined = 1.129e-08 rroots = 2
Thu May 19 20:51:50 2022  
Thu May 19 20:51:50 2022  commencing square root phase
Thu May 19 20:51:50 2022  reading relations for dependency 1
Thu May 19 20:51:50 2022  read 67305 cycles
Thu May 19 20:51:50 2022  cycles contain 199822 unique relations
Thu May 19 20:51:51 2022  read 199822 relations
Thu May 19 20:51:52 2022  multiplying 199822 relations
Thu May 19 20:51:54 2022  multiply complete, coefficients have about 5.12 million bits
Thu May 19 20:51:54 2022  initial square root is modulo 781163
Thu May 19 20:51:56 2022  sqrtTime: 6
Thu May 19 20:51:56 2022  p57 factor: 570845958758724907500847856847824328360344007246575314571
Thu May 19 20:51:56 2022  p71 factor: 37183199978159659010008461333528460830589662879505805706453196738969103
Thu May 19 20:51:56 2022  elapsed time 00:00:07
Thu May 19 20:51:56 2022 -> Computing time scale for this machine...
Thu May 19 20:51:56 2022 -> procrels -speedtest> PIPE

5637166998908063927265779969491685140080212301065647721259468171121529007254340143899165543767803104076116055036762904619609<124>

3085675952298253190339012955621653928556151<43>
1826882370687507121562495064380657761679673861103577370712206698846383961946851759<82>

5637166998908063927265779969491685140080212301065647721259468171121529007254340143899165543767803104076116055036762904619609=3085675952298253190339012955621653928556151*1826882370687507121562495064380657761679673861103577370712206698846383961946851759

cado polynomial
n: 5637166998908063927265779969491685140080212301065647721259468171121529007254340143899165543767803104076116055036762904619609
skew: 0.56
type: snfs
c0: -8
c2: -45
c4: 80
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 80*x^4-45*x^2-8
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1890000
tasks.lim1 = 1890000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1826882370687507121562495064380657761679673861103577370712206698846383961946851759 3085675952298253190339012955621653928556151
Info:Square Root: Total cpu/real time for sqrt: 34.14/11.3332
Info:Generate Free Relations: Total cpu/real time for freerel: 44.27/12.6331
Info:Filtering - Singleton removal: Total cpu/real time for purge: 36.22/34.2803
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6065251
Info:Lattice Sieving: Average J: 1893.61 for 124760 special-q, max bucket fill -bkmult 1.0,1s:1.285920
Info:Lattice Sieving: Total time: 10984.4s
Info:Linear Algebra: Total cpu/real time for bwc: 669.46/174.18
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 401.54, WCT time 102.93, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7040 iterations)
Info:Linear Algebra: Lingen CPU time 29.85, WCT time 7.61
Info:Linear Algebra: Mksol: CPU time 219.45,  WCT time 56.35, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3584 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.17/23.6552
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.6s
Info:Filtering - Merging: Merged matrix has 222319 rows and total weight 37900988 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 45.51/12.7728
Info:Filtering - Merging: Total cpu/real time for replay: 7.06/5.91045
Info:Generate Factor Base: Total cpu/real time for makefb: 1.19/0.703354
Info:Quadratic Characters: Total cpu/real time for characters: 7.12/2.80012
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.48/48.7603
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 37.4s
Info:Square Root: Total cpu/real time for sqrt: 34.14/11.3332
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 20886.9/5955.82
Info:root: Cleaning up computation data in /tmp/cado.j92xiy32
1826882370687507121562495064380657761679673861103577370712206698846383961946851759 3085675952298253190339012955621653928556151

cado-nfs-3.0.0

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

15722010454602403955142148435053876264035883790885500889967984798450979485869662300805861517670509959288325588120713030278060891881039030567<140>

5765856037205692746301247967036685517<37>
3148180801249525334994512668762350286463203<43>
866133068344365535847066809245911742493205094649598813824417<60>

Number: n
N=15722010454602403955142148435053876264035883790885500889967984798450979485869662300805861517670509959288325588120713030278060891881039030567  ( 140 digits)
SNFS difficulty: 148 digits.
Divisors found:

Thu May 19 14:13:03 2022  found factor: 866133068344365535847066809245911742493205094649598813824417
Thu May 19 14:13:36 2022  found factor: 866133068344365535847066809245911742493205094649598813824417
Thu May 19 14:13:45 2022  p37 factor: 5765856037205692746301247967036685517
Thu May 19 14:13:45 2022  p43 factor: 3148180801249525334994512668762350286463203
Thu May 19 14:13:45 2022  p60 factor: 866133068344365535847066809245911742493205094649598813824417
Thu May 19 14:13:45 2022  elapsed time 00:03:44 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 8x10^147-45x10^73-8 = 8(73)38(73)
#
n: 15722010454602403955142148435053876264035883790885500889967984798450979485869662300805861517670509959288325588120713030278060891881039030567
m: 5000000000000000000000000000000000000
deg: 4
c4: 32
c2: -45
c0: -20
skew: 0.89
# Murphy_E = 2.23e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 672447 hash collisions in 7612994 relations (7746290 unique)
Msieve: matrix is 270042 x 270267 (89.4 MB)

Sieving start time : 2022/05/19 13:26:11
Sieving end time  : 2022/05/19 14:09:31

Total sieving time: 0hrs 43min 20secs.

Total relation processing time: 0hrs 1min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 50sec.

Prototype def-par.txt line would be:
snfs,148,4,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

29462283857320051735770453454010848012916265243049110680961766794238355768845918147882987593432267682526214067062050516031901760960706152019492247<146>

149246893590665282126155958776362219013661369<45>
203253453366597354653657130148238482392676213663273<51>
971232430937161330647037780777198881471921853106231<51>

Number: n
N=29462283857320051735770453454010848012916265243049110680961766794238355768845918147882987593432267682526214067062050516031901760960706152019492247  ( 146 digits)
SNFS difficulty: 152 digits.
Divisors found:

Thu May 19 12:43:01 2022  found factor: 149246893590665282126155958776362219013661369
Thu May 19 12:43:11 2022  p45 factor: 149246893590665282126155958776362219013661369
Thu May 19 12:43:11 2022  p51 factor: 203253453366597354653657130148238482392676213663273
Thu May 19 12:43:11 2022  p51 factor: 971232430937161330647037780777198881471921853106231
Thu May 19 12:43:11 2022  elapsed time 00:05:08 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.337).
Factorization parameters were as follows:
#
# N = 8x10^151-45x10^75-8 = 8(75)38(75)
#
n: 29462283857320051735770453454010848012916265243049110680961766794238355768845918147882987593432267682526214067062050516031901760960706152019492247
m: 50000000000000000000000000000000000000
deg: 4
c4: 32
c2: -45
c0: -20
skew: 0.89
# Murphy_E = 1.392e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1580102 hash collisions in 14909472 relations (14796189 unique)
Msieve: matrix is 304937 x 305162 (100.9 MB)

Sieving start time : 2022/05/19 12:03:50
Sieving end time  : 2022/05/19 12:28:16

Total sieving time: 0hrs 24min 26secs.

Total relation processing time: 0hrs 1min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 19sec.

Prototype def-par.txt line would be:
snfs,152,4,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

3606347770311268921375319400874769193224018143862761066467409026330689676909583505149063280247290325067327111<109>

12756176265899121260477640073135722337352378246837419<53>
282713855244542192243950899212957895149848692220624190869<57>

3606347770311268921375319400874769193224018143862761066467409026330689676909583505149063280247290325067327111=12756176265899121260477640073135722337352378246837419*282713855244542192243950899212957895149848692220624190869

cado polynomial
n: 3606347770311268921375319400874769193224018143862761066467409026330689676909583505149063280247290325067327111
skew: 7797.408
c0: 9165615892822690312128
c1: 827962889041977637006
c2: -178540396790342073
c3: -23828684001583
c4: 947035752
c5: 47520
Y0: -199656242768458945460
Y1: 164904938352029083
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.815e-06
# f(x) = 47520*x^5+947035752*x^4-23828684001583*x^3-178540396790342073*x^2+827962889041977637006*x+9165615892822690312128
# g(x) = 164904938352029083*x-199656242768458945460

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

cado log (extracts)
Info:Square Root: Factors: 12756176265899121260477640073135722337352378246837419 282713855244542192243950899212957895149848692220624190869
Info:Square Root: Total cpu/real time for sqrt: 88.86/26.7237
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 76.21/83.4848
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 59.699999999999996s
Info:Square Root: Total cpu/real time for sqrt: 88.86/26.7237
Info:Filtering - Singleton removal: Total cpu/real time for purge: 54.75/62.5667
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5005162
Info:Lattice Sieving: Average J: 1896.21 for 71921 special-q, max bucket fill -bkmult 1.0,1s:1.305240
Info:Lattice Sieving: Total time: 7200.49s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.36/0.643342
Info:Linear Algebra: Total cpu/real time for bwc: 1060.2/273.82
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 637.97, WCT time 162.9, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9088 iterations)
Info:Linear Algebra: Lingen CPU time 44.15, WCT time 11.23
Info:Linear Algebra: Mksol: CPU time 355.16,  WCT time 90.7, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4608 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.07/16.4441
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.88/20.5849
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.999999999999996s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 221.99
Info:Polynomial Selection (root optimized): Rootsieve time: 221.01
Info:Filtering - Merging: Merged matrix has 289841 rows and total weight 44935590 (155.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 44.45/13.2539
Info:Filtering - Merging: Total cpu/real time for replay: 10.12/8.22858
Info:Quadratic Characters: Total cpu/real time for characters: 10.93/4.20325
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11705/31.490/38.519/43.840/1.057
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 8973/30.580/34.129/38.980/0.871
Info:Polynomial Selection (size optimized): Total time: 710.5
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 15363/4331.83
Info:root: Cleaning up computation data in /tmp/cado._ic6sp42
12756176265899121260477640073135722337352378246837419 282713855244542192243950899212957895149848692220624190869

cado-nfs-3.0.0

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

1963134249822516147947865023659636228615439441724051803160598817185790036870605269296454923365793247794264168956622224671241<124>

7664644376557583918233442930902350851328090058318617881<55>
256128549920305263685707005018202745880158443405628875820265660840561<69>

1963134249822516147947865023659636228615439441724051803160598817185790036870605269296454923365793247794264168956622224671241=7664644376557583918233442930902350851328090058318617881*256128549920305263685707005018202745880158443405628875820265660840561

cado polynomial
n: 1963134249822516147947865023659636228615439441724051803160598817185790036870605269296454923365793247794264168956622224671241
skew: 0.89
type: snfs
c0: -20
c2: -45
c4: 32
Y0: 500000000000000000000000000000000000000000
Y1: -1
# f(x) = 32*x^4-45*x^2-20
# g(x) = -x+500000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4500000
tasks.lim1 = 4500000
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: 256128549920305263685707005018202745880158443405628875820265660840561 7664644376557583918233442930902350851328090058318617881
Info:Square Root: Total cpu/real time for sqrt: 186.14/61.1379
Info:Filtering - Singleton removal: Total cpu/real time for purge: 142.69/169.211
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12481585
Info:Lattice Sieving: Average J: 1891.98 for 941976 special-q, max bucket fill -bkmult 1.0,1s:1.281580
Info:Lattice Sieving: Total time: 182385s
Info:Generate Free Relations: Total cpu/real time for freerel: 88.15/59.9801
Info:Linear Algebra: Total cpu/real time for bwc: 12761/3274.55
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 8075.49, WCT time 2063.42, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (28416 iterations)
Info:Linear Algebra: Lingen CPU time 158.04, WCT time 40.16
Info:Linear Algebra: Mksol: CPU time 4383.15,  WCT time 1118.45, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14336 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 52.04/56.0515
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 55.6s
Info:Filtering - Merging: Merged matrix has 736397 rows and total weight 125862983 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 203.6/57.3126
Info:Filtering - Merging: Total cpu/real time for replay: 32.79/27.4416
Info:Generate Factor Base: Total cpu/real time for makefb: 2.81/3.36381
Info:Quadratic Characters: Total cpu/real time for characters: 31.13/12.3429
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 194.26/193.861
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 153.7s
Info:Square Root: Total cpu/real time for sqrt: 186.14/61.1379
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 206204/95043.5
Info:root: Cleaning up computation data in /tmp/cado.6wjjqxg0
256128549920305263685707005018202745880158443405628875820265660840561 7664644376557583918233442930902350851328090058318617881

cado-nfs-3.0.0

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

72140645678637613918407629284947622532230466348420838984728037884392246395863710811539699213260726365588276644211838545787059903703590015537187462098017<152>

269190757040110369006886010024964419799934719<45>
2855019097240351915566536915996975427632763349<46>
93866551657291103985923337122791276421440555003210601931385507<62>

Number: n
N=72140645678637613918407629284947622532230466348420838984728037884392246395863710811539699213260726365588276644211838545787059903703590015537187462098017  ( 152 digits)
SNFS difficulty: 180 digits.
Divisors found:

Thu May 26 04:16:42 2022  found factor: 93866551657291103985923337122791276421440555003210601931385507
Thu May 26 04:17:39 2022  found factor: 93866551657291103985923337122791276421440555003210601931385507
Thu May 26 04:18:36 2022  p45 factor: 269190757040110369006886010024964419799934719
Thu May 26 04:18:36 2022  p46 factor: 2855019097240351915566536915996975427632763349
Thu May 26 04:18:36 2022  p62 factor: 93866551657291103985923337122791276421440555003210601931385507
Thu May 26 04:18:36 2022  elapsed time 00:21:45 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 8x10^179-45x10^89-8 = 8(89)38(89)
#
n: 72140645678637613918407629284947622532230466348420838984728037884392246395863710811539699213260726365588276644211838545787059903703590015537187462098017
m: 1000000000000000000000000000000
deg: 6
c6: 8
c3: -45
c0: -80
skew: 1.47
# Murphy_E = 5.853e-11
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2962136 hash collisions in 29248037 relations (27144811 unique)
Msieve: matrix is 852339 x 852566 (289.3 MB)

Sieving start time : 2022/05/26 00:16:23
Sieving end time  : 2022/05/26 03:56:20

Total sieving time: 3hrs 39min 57secs.

Total relation processing time: 0hrs 11min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 49sec.

Prototype def-par.txt line would be:
snfs,180,6,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

240679675533577640677344358376357551032285754371189308317965857829619852563351675914086431370179570675098983072605389813338198875145172053544844018507172437367793856977980597<174>

93602973647497583000782057548466273097388918891362642891<56>
2571282365878256063070144091468872305458285868169232606406969325183672767822613415088710664564536789310462697036355967<118>

Number: n
N=240679675533577640677344358376357551032285754371189308317965857829619852563351675914086431370179570675098983072605389813338198875145172053544844018507172437367793856977980597  ( 174 digits)
SNFS difficulty: 183 digits.
Divisors found:

Fri May 27 21:58:28 2022  p56 factor: 93602973647497583000782057548466273097388918891362642891
Fri May 27 21:58:28 2022  p118 factor: 2571282365878256063070144091468872305458285868169232606406969325183672767822613415088710664564536789310462697036355967
Fri May 27 21:58:28 2022  elapsed time 00:30:37 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 8x10^183-45x10^91-8 = 8(91)38(91)
#
n: 240679675533577640677344358376357551032285754371189308317965857829619852563351675914086431370179570675098983072605389813338198875145172053544844018507172437367793856977980597
m: 1000000000000000000000000000000
deg: 6
c6: 4000
c3: -225
c0: -4
skew: 0.32
# Murphy_E = 4.39e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 24000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3561832 hash collisions in 29004390 relations (27563054 unique)
Msieve: matrix is 1005318 x 1005547 (343.3 MB)

Sieving start time : 2022/05/27 14:25:41
Sieving end time  : 2022/05/27 21:27:24

Total sieving time: 7hrs 1min 43secs.

Total relation processing time: 0hrs 16min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 18sec.

Prototype def-par.txt line would be:
snfs,183,6,0,0,0,0,0,0,0,0,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

153977502943413583107664628927169334071595954048385334362193534353034605373992139301442805546303923291214276749531507475510587963647908611749363463<147>

81818228412739509162085317414026803806842491544461397887133263<62>
1881946186449552999889191263059796537535384699467177644645302334179288463910843475401<85>

153977502943413583107664628927169334071595954048385334362193534353034605373992139301442805546303923291214276749531507475510587963647908611749363463=81818228412739509162085317414026803806842491544461397887133263*1881946186449552999889191263059796537535384699467177644645302334179288463910843475401

cado polynomial
n: 153977502943413583107664628927169334071595954048385334362193534353034605373992139301442805546303923291214276749531507475510587963647908611749363463
skew: 1.47
type: snfs
c0: -80
c3: -45
c6: 8
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 8*x^6-45*x^3-80
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9100000
tasks.lim1 = 9100000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 81818228412739509162085317414026803806842491544461397887133263 1881946186449552999889191263059796537535384699467177644645302334179288463910843475401
Info:Square Root: Total cpu/real time for sqrt: 410.2/128.181
Info:Generate Free Relations: Total cpu/real time for freerel: 222.37/56.8815
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 93.65/108.766
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 108.7s
Info:Square Root: Total cpu/real time for sqrt: 410.2/128.181
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 234.74/197.208
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 182.8s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 87.79/103.787
Info:Filtering - Merging: Merged matrix has 1500876 rows and total weight 255152863 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 380.43/106.212
Info:Filtering - Merging: Total cpu/real time for replay: 58.07/49.7135
Info:Generate Factor Base: Total cpu/real time for makefb: 7.16/3.20731
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22410475
Info:Lattice Sieving: Average J: 1892.77 for 1236255 special-q, max bucket fill -bkmult 1.0,1s:1.181240
Info:Lattice Sieving: Total time: 211645s
Info:Linear Algebra: Total cpu/real time for bwc: 4136.35/1064.29
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Mksol: CPU time 4133.66,  WCT time 1060.74, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (23552 iterations)
Warning:Linear Algebra: some stats could not be displayed for linalg (see log file for debug info)
Info:Quadratic Characters: Total cpu/real time for characters: 54.47/22.0867
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 400224/1217.78
81818228412739509162085317414026803806842491544461397887133263 1881946186449552999889191263059796537535384699467177644645302334179288463910843475401

cado-nfs-3.0.0

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

25272061130143879429139418867387444551423606414456500455934518451982235975075712757480256524446638969144741618358553195021212900579511864731050189118035974288740773887576119037453<179>

335849060492504754013362986875861548239464291562979329<54>
46917669728631970254638433308131806771287392902342888956686843<62>
1603836496320166483100986160955030331668165967326642641237461399<64>

Sun Jun  5 23:53:24 2022  Msieve v. 1.53 (SVN unknown)
Sun Jun  5 23:53:24 2022  random seeds: b6cafd40 2851e5a7
Sun Jun  5 23:53:24 2022  factoring 25272061130143879429139418867387444551423606414456500455934518451982235975075712757480256524446638969144741618358553195021212900579511864731050189118035974288740773887576119037453 (179 digits)
Sun Jun  5 23:53:25 2022  searching for 15-digit factors
Sun Jun  5 23:53:25 2022  commencing number field sieve (179-digit input)
Sun Jun  5 23:53:25 2022  R0: -10000000000000000000000000000000
Sun Jun  5 23:53:25 2022  R1: 1
Sun Jun  5 23:53:25 2022  A0: -8
Sun Jun  5 23:53:25 2022  A1: 0
Sun Jun  5 23:53:25 2022  A2: 0
Sun Jun  5 23:53:25 2022  A3: -45
Sun Jun  5 23:53:25 2022  A4: 0
Sun Jun  5 23:53:25 2022  A5: 0
Sun Jun  5 23:53:25 2022  A6: 80
Sun Jun  5 23:53:25 2022  skew 0.68, size 2.991e-09, alpha -1.011, combined = 3.502e-11 rroots = 2
Sun Jun  5 23:53:25 2022  
Sun Jun  5 23:53:25 2022  commencing square root phase
Sun Jun  5 23:53:25 2022  reading relations for dependency 1
Sun Jun  5 23:53:26 2022  read 879387 cycles
Sun Jun  5 23:53:27 2022  cycles contain 2994010 unique relations
Sun Jun  5 23:53:50 2022  read 2994010 relations
Sun Jun  5 23:54:00 2022  multiplying 2994010 relations
Sun Jun  5 23:55:18 2022  multiply complete, coefficients have about 87.10 million bits
Sun Jun  5 23:55:19 2022  initial square root is modulo 1786217
Sun Jun  5 23:56:40 2022  found factor: 1603836496320166483100986160955030331668165967326642641237461399
Sun Jun  5 23:56:40 2022  reading relations for dependency 2
Sun Jun  5 23:56:40 2022  read 880026 cycles
Sun Jun  5 23:56:41 2022  cycles contain 2995712 unique relations
Sun Jun  5 23:57:02 2022  read 2995712 relations
Sun Jun  5 23:57:13 2022  multiplying 2995712 relations
Sun Jun  5 23:58:28 2022  multiply complete, coefficients have about 87.14 million bits
Sun Jun  5 23:58:28 2022  initial square root is modulo 1799741
Sun Jun  5 23:59:41 2022  found factor: 1603836496320166483100986160955030331668165967326642641237461399
Sun Jun  5 23:59:41 2022  reading relations for dependency 3
Sun Jun  5 23:59:41 2022  read 879262 cycles
Sun Jun  5 23:59:42 2022  cycles contain 2994540 unique relations
Mon Jun  6 00:00:03 2022  read 2994540 relations
Mon Jun  6 00:00:12 2022  multiplying 2994540 relations
Mon Jun  6 00:01:20 2022  multiply complete, coefficients have about 87.11 million bits
Mon Jun  6 00:01:21 2022  initial square root is modulo 1789499
Mon Jun  6 00:02:30 2022  sqrtTime: 545
Mon Jun  6 00:02:30 2022  p54 factor: 335849060492504754013362986875861548239464291562979329
Mon Jun  6 00:02:30 2022  p62 factor: 46917669728631970254638433308131806771287392902342888956686843
Mon Jun  6 00:02:30 2022  p64 factor: 1603836496320166483100986160955030331668165967326642641237461399
Mon Jun  6 00:02:30 2022  elapsed time 00:09:06

72543033473505739124029140237548805158795954627467330400953890724675650498102382728766669014907111161491826935567338615361986280039010632806473211954114843993<158>

65702927317843609465069632603903865307414084002016495827010377772670449149571<77>
1104106566250427821471471560854576294168530662619548368903944082326351995746397683<82>

Number: n
N=72543033473505739124029140237548805158795954627467330400953890724675650498102382728766669014907111161491826935567338615361986280039010632806473211954114843993  ( 158 digits)
SNFS difficulty: 192 digits.
Divisors found:

Tue Sep 27 15:06:29 2022  p77 factor: 65702927317843609465069632603903865307414084002016495827010377772670449149571
Tue Sep 27 15:06:29 2022  p82 factor: 1104106566250427821471471560854576294168530662619548368903944082326351995746397683
Tue Sep 27 15:06:29 2022  elapsed time 00:45:41 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.338).
Factorization parameters were as follows:
#
# N = 8x10^191-45x10^95-8 = 8(95)38(95)
#
n: 72543033473505739124029140237548805158795954627467330400953890724675650498102382728766669014907111161491826935567338615361986280039010632806473211954114843993
m: 100000000000000000000000000000000
deg: 6
c6: 8
c3: -45
c0: -80
skew: 1.47
# Murphy_E = 2.417e-11
type: snfs
lss: 1
rlim: 11500000
alim: 11500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3372616 hash collisions in 28775345 relations (26737696 unique)
Msieve: matrix is 1335431 x 1335656 (463.2 MB)

Sieving start time : 2022/09/27 09:45:52
Sieving end time  : 2022/09/27 14:19:41

Total sieving time: 4hrs 33min 49secs.

Total relation processing time: 0hrs 30min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 26sec.

Prototype def-par.txt line would be:
snfs,192,6,0,0,0,0,0,0,0,0,11500000,11500000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

51177305794934362528298190968009407276315403324196553048198829144614268839769631090349535588468705153383797045957149390269938369431667365814722509167976758603495024366505651427921<179>

127134408227148020663401061887061048971696721<45>
195308135206317441178415065775760473652120292543823306221<57>
2061075873834182104948968866590274822715916790245937093187222141145750190737381<79>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 51177305794934362528298190968009407276315403324196553048198829144614268839769631090349535588468705153383797045957149390269938369431667365814722509167976758603495024366505651427921 (179 digits)
Using B1=23830000, B2=96188942866, polynomial Dickson(12), sigma=1:4251089649
Step 1 took 69051ms
Step 2 took 22937ms
********** Factor found in step 2: 195308135206317441178415065775760473652120292543823306221
Found prime factor of 57 digits: 195308135206317441178415065775760473652120292543823306221
Composite cofactor 262033661531160737255405223854374720374883432068667436220776634921211359394630539440401656067599206352866726059925689827701 has 123 digits


GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 262033661531160737255405223854374720374883432068667436220776634921211359394630539440401656067599206352866726059925689827701 (123 digits)
Using B1=37630000, B2=192391008826, polynomial Dickson(12), sigma=1:2143401283
Step 1 took 57817ms
Step 2 took 22535ms
********** Factor found in step 2: 127134408227148020663401061887061048971696721
Found prime factor of 45 digits: 127134408227148020663401061887061048971696721
Prime cofactor 2061075873834182104948968866590274822715916790245937093187222141145750190737381 has 79 digits

7473668681554457776981310541010086546288668161563866146154574595540308332519150026748253775681161463423599702341738294610895852876811372060437444410170875926262767411029957298587<178>

226271474060872212112760275796222851<36>
141606752870596443275167826891069027113<39>
233249150484145863199062889420771448391051037772820766297567078976932371062949637072208021137522333409249<105>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3422052349
Step 1 took 11432ms
Step 2 took 4308ms
********** Factor found in step 2: 226271474060872212112760275796222851
Found probable prime factor of 36 digits: 226271474060872212112760275796222851
Composite cofactor 33029654809885003990307403471789716844239444381210206536132167301979764054612503694083271282086644352847927930623149337744180832963122905968137 has 143 digits
--
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=823695219
Step 1 took 8396ms
Step 2 took 3440ms
********** Factor found in step 2: 141606752870596443275167826891069027113
Found probable prime factor of 39 digits: 141606752870596443275167826891069027113
Probable prime cofactor 233249150484145863199062889420771448391051037772820766297567078976932371062949637072208021137522333409249 has 105 digits

1867159276097065312377686474283064619331205558792432458620204857486175633677053650570261320796569238145922376367385741507759399508350734132308767346374578741196874634159296764833119449<184>

937742469155511161718877433996446817354538788174705247391406451954136298235560960474819<87>
1991121589895086303070660390212787947146646253609049599668355930535704335680046760827271555486771<97>

Number: n
N=1867159276097065312377686474283064619331205558792432458620204857486175633677053650570261320796569238145922376367385741507759399508350734132308767346374578741196874634159296764833119449  ( 184 digits)
SNFS difficulty: 207 digits.
Divisors found:

Sun Jul 28 18:26:17 2024  prp87 factor: 937742469155511161718877433996446817354538788174705247391406451954136298235560960474819
Sun Jul 28 18:26:17 2024  prp97 factor: 1991121589895086303070660390212787947146646253609049599668355930535704335680046760827271555486771
Sun Jul 28 18:26:17 2024  elapsed time 06:31:23 (Msieve 1.44 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.946).
Factorization parameters were as follows:
#
# N = 8x10^207-45x10^103-8 = 8(103)38(103)
#
n: 1867159276097065312377686474283064619331205558792432458620204857486175633677053650570261320796569238145922376367385741507759399508350734132308767346374578741196874634159296764833119449
m: 10000000000000000000000000000000000
deg: 6
c6: 4000
c3: -225
c0: -4
skew: 0.32
# Murphy_E = 7.291e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
q0: 50000000
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 [50000000, 120400000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 5637446 hash collisions in 22768940 relations (16959770 unique)
Msieve: matrix is 3303257 x 3303482 (929.4 MB)

Sieving start time: 2024/07/27 01:10:30
Sieving end time  : 2024/07/28 11:53:49

Total sieving time: 34hrs 43min 19secs.

Total relation processing time: 5hrs 52min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 27min 51sec.

Prototype def-par.txt line would be:
snfs,207,6,0,0,0,0,0,0,0,0,20000000,20000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111048611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<209>

958103675419268065990511096205961242108574847784959635759<57>
1653213925407149560673141219804790311705445505970453933916580103603<67>
7014810277340906942365713359806405795742157278624863725988739420850820815415738765043<85>

Number: n
N=11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111048611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111  ( 209 digits)
SNFS difficulty: 210 digits.
Divisors found:

Tue Dec 17 23:54:56 2024  prp57 factor: 958103675419268065990511096205961242108574847784959635759
Tue Dec 17 23:54:56 2024  prp67 factor: 1653213925407149560673141219804790311705445505970453933916580103603
Tue Dec 17 23:54:56 2024  prp85 factor: 7014810277340906942365713359806405795742157278624863725988739420850820815415738765043
Tue Dec 17 23:54:56 2024  elapsed time 02:41:47 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.114).
Factorization parameters were as follows:
#
# N = 8x10^209-45x10^104-8 = 8(104)38(104)
#
n: 11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111048611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 50000000000000000000000000000000000
deg: 6
c6: 64
c3: -45
c0: -10
skew: 0.73
# Murphy_E = 6.184e-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 8828436 hash collisions in 28372914 relations (17226963 unique)
Msieve: matrix is 2255787 x 2256012 (633.2 MB)

Sieving start time: 2024/12/16 14:32:59
Sieving end time  : 2024/12/17 21:07:28

Total sieving time: 30hrs 34min 29secs.

Total relation processing time: 2hrs 29min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 27sec.

Prototype def-par.txt line would be:
snfs,210,6,0,0,0,0,0,0,0,0,22000000,22000000,27,27,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

352497849744794547379034909040045847633687019977450084263642980714313703875552345474212240861355046479368046099481323629220472851223971877923965713275967713094782739422112235357488733<183>

5185565459985584128021240076124100952588374999351804317501801983997344990484487380926453125081024460312274460312274752000331876189439077384193359364871942460965655999958515476320115326975830079391007192379293<208>

11796810654125510372376284354008163131488225598360562910179427373551975771452116402451381633355453897887167150857135785515768357444363275737037685886138050271705704752400619044981076771193755994998699<200>

368544144308951865504407258515654541489506089893238447484066464322236023830556345700951531618319555771126597573753050051163312036140933414763191263644704443097623<162>

659295740290221984875755717742307666950163834991462120163241625295858963455237115712995378336860565543886020948710087884122180686590583938237175049612004456839204361900617760108651937999828583107524542283932303513387<216>

87449484319212786063924651294969715659328486677018724563328952377590873084820561643715376602553379884927<104>
7539160984456185040989561000594394331724784660237728522225830188515079597970984262927495314858942459772813200981<112>

Number: 88388_110
N = 659295740290221984875755717742307666950163834991462120163241625295858963455237115712995378336860565543886020948710087884122180686590583938237175049612004456839204361900617760108651937999828583107524542283932303513387 (216 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=87449484319212786063924651294969715659328486677018724563328952377590873084820561643715376602553379884927 (pp104)
r2=7539160984456185040989561000594394331724784660237728522225830188515079597970984262927495314858942459772813200981 (pp112)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 21.75 hours.
Factorization parameters were as follows:
n: 659295740290221984875755717742307666950163834991462120163241625295858963455237115712995378336860565543886020948710087884122180686590583938237175049612004456839204361900617760108651937999828583107524542283932303513387
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 80
c2: -45
c0: -8
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30991178
Relations: 6834854 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 8.05 hours.
Total relation processing time: 0.25 hours.
Pruned matrix : 6022925 x 6023150
Matrix solve time: 13.34 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 21.75 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

32048762525301933043491905035482312652767741080881454200501672132524903856666655189983250001588251670332451573357402865650193826093863109865033216635450515311187260892763811703379474982248464021649<197>

23739758365307967333729646317503800320344776214017940942110059788383281749338087129935164789454112323094485061759248951021590223001653469960753760935690742240400450437630288381962022992140079386326580849480380543<212>

5588622427743704098378655739031182572788935977244277214127724243472129397577360906190329348237148193520783382636963121750258857228196781493502318957615159101482576057347195362799337494954017965117<196>

423394835615478414171720738029730135373937590015639601904337521042632336256311993007748193079634225843630895876496388179647531615397380622664419957070977398590535119075234846222175612052954260405900927671340692234326268759<222>

1939191077905658567244977211726780788240096584468468863187921409142100206141168214292566854516362730873973658410588981912460513867749407885595330988229008014818506670894369500014408898997063653317836029042219828502598928261527941763<232>

76591086711893111011833849606675408543021451051775023880514346484217548587130134667002392500811010613034955713715945526763169546977016485811269380954399202821941083338783969<173>

219272568701009838058014389511707785602053<42>

349296253360032710565263934890431629682121439362017366794469952095804118318405827805305468845153742877180823994290866511529912649773<132>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1772158394
Step 1 took 49268ms
Step 2 took 21268ms
********** Factor found in step 2: 219272568701009838058014389511707785602053
Found prime factor of 42 digits: 219272568701009838058014389511707785602053
Composite cofactor 349296253360032710565263934890431629682121439362017366794469952095804118318405827805305468845153742877180823994290866511529912649773 has 132 digits

349296253360032710565263934890431629682121439362017366794469952095804118318405827805305468845153742877180823994290866511529912649773<132>

8242126495256435300803578117320723252513911049<46>
42379385169720710550851101323241340766080787493833875610702472487844160990176222051077<86>

349296253360032710565263934890431629682121439362017366794469952095804118318405827805305468845153742877180823994290866511529912649773=8242126495256435300803578117320723252513911049*42379385169720710550851101323241340766080787493833875610702472487844160990176222051077

cado polynomial
n: 349296253360032710565263934890431629682121439362017366794469952095804118318405827805305468845153742877180823994290866511529912649773
skew: 24296.51
c0: 28892699155953738656583725784
c1: -18047685146057160863686750
c2: -1045848400660108848693
c3: 70181739087758521
c4: 741378620430
c5: 2910600
Y0: -21901708852518904497546467
Y1: 13995097743892409
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 3.850e-07
# f(x) = 2910600*x^5+741378620430*x^4+70181739087758521*x^3-1045848400660108848693*x^2-18047685146057160863686750*x+28892699155953738656583725784
# g(x) = 13995097743892409*x-21901708852518904497546467

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.ncurves0 = 16
tasks.sieve.ncurves1 = 21
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 42379385169720710550851101323241340766080787493833875610702472487844160990176222051077 8242126495256435300803578117320723252513911049
Info:Square Root: Total cpu/real time for sqrt: 793.2/239.783
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 429.64/412.636
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 349.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 312.46/344.296
Info:Linear Algebra: Total cpu/real time for bwc: 52090.7/13355.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 33341.17, WCT time 8512.04, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (56064 iterations)
Info:Linear Algebra: Lingen CPU time 350.61, WCT time 88.98
Info:Linear Algebra: Mksol: CPU time 18069.37,  WCT time 4628.92, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (28160 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24798538
Info:Lattice Sieving: Average J: 7593.81 for 82016 special-q, max bucket fill -bkmult 1.0,1s:1.076310
Info:Lattice Sieving: Total time: 111221s
Info:Generate Factor Base: Total cpu/real time for makefb: 40.63/10.7474
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5878.97
Info:Polynomial Selection (root optimized): Rootsieve time: 5876.59
Info:Generate Free Relations: Total cpu/real time for freerel: 251.01/64.2442
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 109.11/125.042
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 124.7s
Info:Filtering - Merging: Merged matrix has 1787285 rows and total weight 306344506 (171.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 461.7/130.061
Info:Filtering - Merging: Total cpu/real time for replay: 71.13/59.9646
Info:Quadratic Characters: Total cpu/real time for characters: 68.49/28.8702
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): 38827/38.810/46.999/50.260/0.841
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30702/38.520/42.266/47.830/1.048
Info:Polynomial Selection (size optimized): Total time: 4814.14
Info:Square Root: Total cpu/real time for sqrt: 793.2/239.783
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 274413/73414.4
Info:root: Cleaning up computation data in /tmp/cado.ejmu31t2
42379385169720710550851101323241340766080787493833875610702472487844160990176222051077 8242126495256435300803578117320723252513911049

cado-nfs-3.0.0

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

105119310417323662356774939556396510038894144854409755072006727635866708714390833596131609376642489225270682224324608430568689556396510038894144854409755072006727635866708714390833596131609376642489225270682224324608430568695469357721013350152423<246>

67701609533921498798770481988587865400489137807898570059647133121475818034941862400417804564494538519573555391411319637476678082420270601763886662603376571832213<161>

932922847280529900177255340983300681033678514786827129396398917809497154585315794383804459371210000932922847280529900177255340458531579438380445937121000093292284728052990017725534098330068103367851478682712939639891780949715458531579438380445937121<249>

38702422138143455938741033064292947504123598467679134612527613016881846561683124137098327204655211565902207809930926508049305047379843209159656955541967309038881373191989119427775208919713454561025432756100405538370437231122156746231984847<239>

38552135981094032514871486454707023042611675899903234138687453978387672568998685372163044693491242882311894490514246941851813299694185181329971587075781933698036539714482880924017595194861771316439787346417928285316647968880715836060896953995736133760491<254>

101215341583294050851271654723107452607808302936322486481629636377810864340184494359593353717374294311809843675305183510481294307473490213991435914217691580603689199218955800379726764244912791104269574437701548768480051431<222>

1290275793006169988214474881694483600308591790063595264966261442589258703198178343020599518594204796331292258357169441897195339320444992896084377043906891272738457166241737395976403209522945905327504727<202>

11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111048611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<269>

31591452610214703296402311082780000290345209210205515267403439963179498492798666153067139567709375264755068653229729051089043746942494894391688340735531531088257923811796149670079883522229626694676428001220051676036540087885473172873681<236>

2511745885360905244495004210166491309214613500582656805642846317540065201115510498969532052287685746393369133020839150212377376843567041869<139>

60059612744259950337068770178312125738216520179942571202029<59>
41820880465150171573699943750398913081874741314188618254008008475148161170548961<80>

2511745885360905244495004210166491309214613500582656805642846317540065201115510498969532052287685746393369133020839150212377376843567041869=60059612744259950337068770178312125738216520179942571202029*41820880465150171573699943750398913081874741314188618254008008475148161170548961

cado polynomial
n: 25117458853609052444950042101664913092146135005826568056428463175400652011155104989695320522876857463933691330208391502123773768435670418
skew: 126934.743
c0: 12762017518220737202113342696584
c1: -229770323151081636167069538
c2: -5823003079838929655621
c3: 12885698623352053
c4: 159352786072
c5: -450000
Y0: -186116816099054300345889536
Y1: 126920967259346407
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.095e-07
# f(x) = -450000*x^5+159352786072*x^4+12885698623352053*x^3-5823003079838929655621*x^2-229770323151081636167069538*x+12762017518220737202113342696584
# g(x) = 126920967259346407*x-186116816099054300345889536

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

cado log (extracts)
Info:Square Root: Factors: 41820880465150171573699943750398913081874741314188618254008008475148161170548961 60059612744259950337068770178312125738216520179942571202029
Info:Square Root: Total cpu/real time for sqrt: 771.69/265.688
Info:Filtering - Singleton removal: Total cpu/real time for purge: 149.66/114.707
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 32841039
Info:Lattice Sieving: Average J: 3778.53 for 770147 special-q, max bucket fill -bkmult 1.0,1s:1.153030
Info:Lattice Sieving: Total time: 396357s
Info:Linear Algebra: Total cpu/real time for bwc: 53450/20529.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 33017.48, WCT time 12603.02, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (56064 iterations)
Info:Linear Algebra: Lingen CPU time 2167.43, WCT time 770.46
Info:Linear Algebra: Mksol: CPU time 17963.38,  WCT time 6993.58, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (28160 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 11.65/5.15089
Info:Generate Free Relations: Total cpu/real time for freerel: 491.87/161.463
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 146.67/193.83
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 193.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 9377.03
Info:Polynomial Selection (root optimized): Rootsieve time: 9373.73
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 386.59/349.938
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 320.8s
Info:Filtering - Merging: Merged matrix has 1792160 rows and total weight 305674287 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 422.96/151.89
Info:Filtering - Merging: Total cpu/real time for replay: 73.98/66.2802
Info:Quadratic Characters: Total cpu/real time for characters: 70.55/38.3722
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66235/42.110/49.801/54.830/0.947
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 54373/39.990/44.423/50.460/1.013
Info:Polynomial Selection (size optimized): Total time: 31617.5
Info:Square Root: Total cpu/real time for sqrt: 771.69/265.688
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 766451/84865.9
Info:root: Cleaning up computation data in /tmp/cado.szsglz0x
41820880465150171573699943750398913081874741314188618254008008475148161170548961 60059612744259950337068770178312125738216520179942571202029

cado-nfs-3.0.0

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

1147723970875823063017007558654685262938038207337938299967656754022390857397646811185004419199050970753108771830158031443146776867443958610915199368284162459020644676290795507108744827205117200123022872342070332092829339677083514521105333<238>

263455272479121179905480280814889693883<39>
4356428171187123017467494615599148638191450610123477164826948905235425764173527765090872506359406339876585035803324637760438050984497688515987365541719228985543555937168283463459888466528175496963151<199>

GPU: factor 263455272479121179905480280814889693883 found in Step 1 with curve 1135 (-sigma 3:-1333646127)
Computing 1792 Step 1 took 1707ms of CPU time / 982984ms of GPU time
Throughput: 1.823 curves per second (on average 548.54ms per Step 1)
********** Factor found in step 1: 263455272479121179905480280814889693883
Found prime factor of 39 digits: 263455272479121179905480280814889693883
Prime cofactor 4356428171187123017467494615599148638191450610123477164826948905235425764173527765090872506359406339876585035803324637760438050984497688515987365541719228985543555937168283463459888466528175496963151 has 199 digits
Peak memory usage: 9430MB

19867337640757233845614657426063844818541214034109015580078328020543816019394449699402959301998159028016400229990536577483876586850128125471709206292085933679416609238020779602754020533484006475462721276533148207104624171007414443575084464307866078437247965548451<263>

80564869617918259700568356575549735060632757<44>
246600506337052172561025331149491752221861226796983587745441206657849319074302380500208603149188059563694668487688543575929078798335684032184033600735223555735520041691016325749598611159391001323864306613221129701130743<219>

Resuming ECM residue saved by @2188b51b7a09 with GMP-ECM 7.0.5-dev on Fri Aug  5 08:46:11 2022 
Input number is 19867337640757233845614657426063844818541214034109015580078328020543816019394449699402959301998159028016400229990536577483876586850128125471709206292085933679416609238020779602754020533484006475462721276533148207104624171007414443575084464307866078437247965548451 (263 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:4011121693
Step 1 took 0ms
Step 2 took 32397ms
********** Factor found in step 2: 80564869617918259700568356575549735060632757
Found prime factor of 44 digits: 80564869617918259700568356575549735060632757
Prime cofactor 246600506337052172561025331149491752221861226796983587745441206657849319074302380500208603149188059563694668487688543575929078798335684032184033600735223555735520041691016325749598611159391001323864306613221129701130743 has 219 digits

11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111048611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<281>

9496676163342830009496676163342830009496676163342830009496676163342830009496676163342830009496676163342830009496676163342830009496676163342824667616334283000949667616334283000949667616334283000949667616334283000949667616334283000949667616334283000949667616334283000949667616334283<280>

369902314924316833400131112784892799951821<42>
6513364155258452052354219943954610250386339<43>

3941660541277954851505001993020198384125154249616507275471726135756662969066315852241936024961807073121731021255420996229148087044343631277640357536821199196839534108839112066467538656526739372957<196>

Resuming ECM residue saved by @9cf65561818e with GMP-ECM 7.0.5-dev on Mon Jul 18 12:47:52 2022 
Input number is 9496676163342830009496676163342830009496676163342830009496676163342830009496676163342830009496676163342830009496676163342830009496676163342824667616334283000949667616334283000949667616334283000949667616334283000949667616334283000949667616334283000949667616334283000949667616334283 (280 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4166466162
Step 1 took 0ms
Step 2 took 6532ms
********** Factor found in step 2: 6513364155258452052354219943954610250386339
Found prime factor of 43 digits: 6513364155258452052354219943954610250386339
Composite cofactor 1458029358864551206611512639454722911395828917468862564853994000896478617176893045747805517719298041003549292697582286899655526798119770319009833456672346749382825109677510372325478746473400386763551499598783313195638334561662233350304697 has 238 digits
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Resuming ECM residue saved by @9cf65561818e with GMP-ECM 7.0.5-dev on Mon Jul 18 12:47:52 2022 
Input number is 1458029358864551206611512639454722911395828917468862564853994000896478617176893045747805517719298041003549292697582286899655526798119770319009833456672346749382825109677510372325478746473400386763551499598783313195638334561662233350304697 (238 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4166466480
Step 1 took 0ms
Step 2 took 5952ms
********** Factor found in step 2: 369902314924316833400131112784892799951821
Found prime factor of 42 digits: 369902314924316833400131112784892799951821
Composite cofactor 3941660541277954851505001993020198384125154249616507275471726135756662969066315852241936024961807073121731021255420996229148087044343631277640357536821199196839534108839112066467538656526739372957 has 196 digits

935194966148576952192960184430069197050665639218606910946899655300364331927676206503976111159824667412654642717515412460440711095800667482639757875740122024024561361690399904185815808173340653821740628621785103015297887012331198224980633319001367<246>

16254967841597962849400165418143864481183251469083387377875953790302822234455867165085620947423523263406601899082874467280845225298178496927352540984275702638244469870432234597498202264646095908343144319215429058664611<218>

584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900581505847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269<291>

2255709475773363549139129447697595329000134190816244495990260527328653858233117247372507842224355563623012059179793265094597612630615659475264087411067525696578346893702718416459661145092824527682662683535355247570719967745305576229088243113770919552638265482109247310761<271>

36625215529319057739144076082892825210652308832651007745376256187616733111170663896184426051403207018229997419632164632226951588483116689829907295949960301428580512276985722366917617988534422662595626076705839092794337406602198145227229517002186550629490949803713257<266>

143925587798270694568371533461378554878039918809578682707674183941363510706921824733268996197483165226713940710237695786833468237179652071175535630743408255417258001557587102698111113493648933319330767465016635609128941678516153632063282781560888284403308359554872878597<270>

1330054748107694031863390917864716141948578902592993341242445817840394632866770020147494731750953230293733600401840309460033425737998645988470323007591359626564410189026520393369645395238314843203681352126878556633723363738698525456645520607766549<247>