10483215355747163075637352040971295036009125755666331245635327766575878779227386701834107903358868979233273<107>

40177386115396107931459582852036673<35>
260923279718536993108676557945567785688080904759046003159213315306294201<72>

N=10483215355747163075637352040971295036009125755666331245635327766575878779227386701834107903358868979233273
  ( 107 digits)
SNFS difficulty: 117 digits.
Divisors found:
p35 factor: 40177386115396107931459582852036673
p72 factor: 260923279718536993108676557945567785688080904759046003159213315306294201
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.79 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 10483215355747163075637352040971295036009125755666331245635327766575878779227386701834107903358868979233273
m: 100000000000000000000000000000
deg: 4
c4: 50
c2: 27
c0: -5
skew: 0.56
# Murphy_E = 6.557e-08
type: snfs
lss: 1
rlim: 640000
alim: 640000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 640000/640000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [320000, 470001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 54409 x 54634
Total sieving time: 0.77 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,117.000,4,0,0,0,0,0,0,0,0,640000,640000,25,25,45,45,2.2,2.2,50000
total time: 0.79 hours.
 --------- CPU info (if available) ----------

269262618540666273720159365824395549657704844890655078456072899856204263488234963215525127122998817973<102>

170229613417463753048850758140282465633135706171<48>
1581761323045117040677459437513962134732378192322445263<55>

Fri May 20 07:59:02 2022  Msieve v. 1.53 (SVN unknown)
Fri May 20 07:59:02 2022  random seeds: c5de3e10 f329a7d0
Fri May 20 07:59:02 2022  factoring 269262618540666273720159365824395549657704844890655078456072899856204263488234963215525127122998817973 (102 digits)
Fri May 20 07:59:03 2022  searching for 15-digit factors
Fri May 20 07:59:03 2022  commencing number field sieve (102-digit input)
Fri May 20 07:59:03 2022  R0: -29048587688163296701
Fri May 20 07:59:03 2022  R1: 43898120629
Fri May 20 07:59:03 2022  A0: 47637313316425601337360
Fri May 20 07:59:03 2022  A1: 6933092386001643708
Fri May 20 07:59:03 2022  A2: 31060567696294340
Fri May 20 07:59:03 2022  A3: -3936610206739
Fri May 20 07:59:03 2022  A4: -1190824224
Fri May 20 07:59:03 2022  A5: 13020
Fri May 20 07:59:03 2022  skew 6979.44, size 8.542e-10, alpha -5.405, combined = 2.401e-09 rroots = 3
Fri May 20 07:59:03 2022  
Fri May 20 07:59:03 2022  commencing square root phase
Fri May 20 07:59:03 2022  reading relations for dependency 1
Fri May 20 07:59:03 2022  read 109427 cycles
Fri May 20 07:59:03 2022  cycles contain 372516 unique relations
Fri May 20 07:59:08 2022  read 372516 relations
Fri May 20 07:59:09 2022  multiplying 372516 relations
Fri May 20 07:59:22 2022  multiply complete, coefficients have about 15.88 million bits
Fri May 20 07:59:23 2022  initial square root is modulo 1325326859
Fri May 20 07:59:40 2022  sqrtTime: 37
Fri May 20 07:59:40 2022  p48 factor: 170229613417463753048850758140282465633135706171
Fri May 20 07:59:40 2022  p55 factor: 1581761323045117040677459437513962134732378192322445263
Fri May 20 07:59:40 2022  elapsed time 00:00:38

35677169725906757299187402816649611827320756684596919377121745644251591669853196077289<86>

1943812963243087291535990511561717039881<40>
18354219464810246664266906962556106000270585569<47>

Thu May 19 06:46:29 2022  Msieve v. 1.53 (SVN 1005)
Thu May 19 06:46:29 2022  random seeds: 3e89f8ec fc48fec8
Thu May 19 06:46:29 2022  factoring 35677169725906757299187402816649611827320756684596919377121745644251591669853196077289 (86 digits)
Thu May 19 06:46:30 2022  searching for 15-digit factors
Thu May 19 06:46:30 2022  commencing quadratic sieve (86-digit input)
Thu May 19 06:46:30 2022  using multiplier of 1
Thu May 19 06:46:30 2022  using generic 32kb sieve core
Thu May 19 06:46:30 2022  sieve interval: 16 blocks of size 32768
Thu May 19 06:46:30 2022  processing polynomials in batches of 13
Thu May 19 06:46:30 2022  using a sieve bound of 1458521 (55667 primes)
Thu May 19 06:46:30 2022  using large prime bound of 116681680 (26 bits)
Thu May 19 06:46:30 2022  using double large prime bound of 331592532398080 (41-49 bits)
Thu May 19 06:46:30 2022  using trial factoring cutoff of 49 bits
Thu May 19 06:46:30 2022  polynomial 'A' values have 11 factors
Thu May 19 07:07:41 2022  55772 relations (16096 full + 39676 combined from 578341 partial), need 55763
Thu May 19 07:07:42 2022  begin with 594437 relations
Thu May 19 07:07:42 2022  reduce to 131790 relations in 10 passes
Thu May 19 07:07:42 2022  attempting to read 131790 relations
Thu May 19 07:07:43 2022  recovered 131790 relations
Thu May 19 07:07:43 2022  recovered 106892 polynomials
Thu May 19 07:07:43 2022  attempting to build 55772 cycles
Thu May 19 07:07:43 2022  found 55772 cycles in 5 passes
Thu May 19 07:07:43 2022  distribution of cycle lengths:
Thu May 19 07:07:43 2022     length 1 : 16096
Thu May 19 07:07:43 2022     length 2 : 11325
Thu May 19 07:07:43 2022     length 3 : 9820
Thu May 19 07:07:43 2022     length 4 : 7140
Thu May 19 07:07:43 2022     length 5 : 4902
Thu May 19 07:07:43 2022     length 6 : 2958
Thu May 19 07:07:43 2022     length 7 : 1621
Thu May 19 07:07:43 2022     length 9+: 1910
Thu May 19 07:07:43 2022  largest cycle: 18 relations
Thu May 19 07:07:43 2022  matrix is 55667 x 55772 (12.9 MB) with weight 2926163 (52.47/col)
Thu May 19 07:07:43 2022  sparse part has weight 2926163 (52.47/col)
Thu May 19 07:07:44 2022  filtering completed in 3 passes
Thu May 19 07:07:44 2022  matrix is 50714 x 50778 (11.8 MB) with weight 2696468 (53.10/col)
Thu May 19 07:07:44 2022  sparse part has weight 2696468 (53.10/col)
Thu May 19 07:07:44 2022  saving the first 48 matrix rows for later
Thu May 19 07:07:44 2022  matrix includes 64 packed rows
Thu May 19 07:07:44 2022  matrix is 50666 x 50778 (7.2 MB) with weight 2040293 (40.18/col)
Thu May 19 07:07:44 2022  sparse part has weight 1377684 (27.13/col)
Thu May 19 07:07:44 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Thu May 19 07:07:44 2022  commencing Lanczos iteration
Thu May 19 07:07:44 2022  memory use: 4.5 MB
Thu May 19 07:07:51 2022  lanczos halted after 803 iterations (dim = 50662)
Thu May 19 07:07:51 2022  recovered 14 nontrivial dependencies
Thu May 19 07:07:51 2022  p40 factor: 1943812963243087291535990511561717039881
Thu May 19 07:07:51 2022  p47 factor: 18354219464810246664266906962556106000270585569
Thu May 19 07:07:51 2022  elapsed time 00:21:22

Msieve v. 1.53

Windows 10 21H2
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

18045529644993269996216305384953859110062338130186869238717738798053448330934878069380689777422199924360005050633994663<119>

33548118285471880524750632721996593093327<41>
537899905188063679998225161471166033673334720826159100070298051494761217491369<78>

18045529644993269996216305384953859110062338130186869238717738798053448330934878069380689777422199924360005050633994663=33548118285471880524750632721996593093327*537899905188063679998225161471166033673334720826159100070298051494761217491369

cado polynomial
n: 18045529644993269996216305384953859110062338130186869238717738798053448330934878069380689777422199924360005050633994663
skew: 0.18
type: snfs
c0: -1
c2: 54
c4: 1000
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 1000*x^4+54*x^2-1
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1970000
tasks.lim1 = 1970000
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: 33548118285471880524750632721996593093327 537899905188063679998225161471166033673334720826159100070298051494761217491369
Info:Square Root: Total cpu/real time for sqrt: 105.82/32.7142
Info:Filtering - Singleton removal: Total cpu/real time for purge: 34.8/33.7087
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6040127
Info:Lattice Sieving: Average J: 1887.28 for 147426 special-q, max bucket fill -bkmult 1.0,1s:1.302580
Info:Lattice Sieving: Total time: 12768.8s
Info:Generate Free Relations: Total cpu/real time for freerel: 44.66/12.8509
Info:Linear Algebra: Total cpu/real time for bwc: 890.6/231.17
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 540.02, WCT time 138.53, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7808 iterations)
Info:Linear Algebra: Lingen CPU time 35.26, WCT time 9.01
Info:Linear Algebra: Mksol: CPU time 293.22,  WCT time 74.88, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3968 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.18/25.0893
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 25.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 49.84/48.6272
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 36.900000000000006s
Info:Filtering - Merging: Merged matrix has 246878 rows and total weight 41996413 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 50.41/14.176
Info:Filtering - Merging: Total cpu/real time for replay: 7.89/6.55444
Info:Generate Factor Base: Total cpu/real time for makefb: 1.26/0.700719
Info:Quadratic Characters: Total cpu/real time for characters: 7.84/3.08953
Info:Square Root: Total cpu/real time for sqrt: 105.82/32.7142
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 24387.6/6886.33
Info:root: Cleaning up computation data in /tmp/cado.9a1g0q_g
33548118285471880524750632721996593093327 537899905188063679998225161471166033673334720826159100070298051494761217491369

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)

2373578052756346931184681506287687022717068552130041951710568838676970158257<76>

564247771785930765082400470890450277<36>
4206623705829813448475445530294854139741<40>

2373578052756346931184681506287687022717068552130041951710568838676970158257 = 564247771785930765082400470890450277 * 4206623705829813448475445530294854139741

Time elapsed: 0d 0h 10m 34.6s

Modular multiplications:

ECM: 78622512
Probable prime checking: 1274
SIQS: 78040
Sum of squares: 800
SIQS:

265614 polynomials sieved
236413 sets of trial divisions
9673 smooth congruences found (1 out of every 1823079 values)
101632 partial congruences found (1 out of every 173514 values)
9515 useful partial congruences
Size of binary matrix: 17570 × 17048

Dario Alpern's calculator

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)

29247630763344710501044269570728468983279945167298187105857076966433586940966907830547568045202650498574091176932040870357<122>

79793014728372534660123676410648135299750918489<47>
366543749009961084698902536823622458138032074010102438812215165930142370013<75>

29247630763344710501044269570728468983279945167298187105857076966433586940966907830547568045202650498574091176932040870357=79793014728372534660123676410648135299750918489*366543749009961084698902536823622458138032074010102438812215165930142370013

cado polynomial
n: 29247630763344710501044269570728468983279945167298187105857076966433586940966907830547568045202650498574091176932040870357
skew: 0.18
type: snfs
c0: -1
c2: 54
c4: 1000
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 1000*x^4+54*x^2-1
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2700000
tasks.lim1 = 2700000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
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: 79793014728372534660123676410648135299750918489 366543749009961084698902536823622458138032074010102438812215165930142370013
Info:Square Root: Total cpu/real time for sqrt: 62.55/48.4777
Info:Quadratic Characters: Total cpu/real time for characters: 11.39/9.25786
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 106.4/158.008
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 147.60000000000002s
Info:Square Root: Total cpu/real time for sqrt: 62.55/48.4777
Info:Linear Algebra: Total cpu/real time for bwc: 2077.75/1774.63
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1109.4, WCT time 979.55, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (11136 iterations)
Info:Linear Algebra: Lingen CPU time 324.22, WCT time 282.68
Info:Linear Algebra: Mksol: CPU time 610.41,  WCT time 483.35, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5632 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 79.07/114.281
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11648591
Info:Lattice Sieving: Average J: 1887.4 for 380742 special-q, max bucket fill -bkmult 1.0,1s:1.319740
Info:Lattice Sieving: Total time: 73791.4s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.24/79.7125
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 79.5s
Info:Generate Free Relations: Total cpu/real time for freerel: 88/57.5475
Info:Filtering - Merging: Merged matrix has 355751 rows and total weight 60751485 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 78.58/58.7567
Info:Filtering - Merging: Total cpu/real time for replay: 12.62/13.7162
Info:Generate Factor Base: Total cpu/real time for makefb: 1.7/2.37526
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 71754.3/39448.5
Info:root: Cleaning up computation data in /tmp/cado.8cwfbet2
79793014728372534660123676410648135299750918489 366543749009961084698902536823622458138032074010102438812215165930142370013

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)

140461810777733728106972855331160993471205929472390861303264202120300988196143816266039553373436556733437673661299851951172163373<129>

54984555403201230228613426545955569852186587<44>
2554568455591367141360416549231052109085069147341293134870414327399493529494283229079<85>

140461810777733728106972855331160993471205929472390861303264202120300988196143816266039553373436556733437673661299851951172163373=54984555403201230228613426545955569852186587*2554568455591367141360416549231052109085069147341293134870414327399493529494283229079

cado polynomial
n: 140461810777733728106972855331160993471205929472390861303264202120300988196143816266039553373436556733437673661299851951172163373
skew: 0.56
type: snfs
c0: -5
c2: 27
c4: 50
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 50*x^4+27*x^2-5
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 3000000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
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: 54984555403201230228613426545955569852186587 2554568455591367141360416549231052109085069147341293134870414327399493529494283229079
Info:Square Root: Total cpu/real time for sqrt: 119.71/37.0392
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11633151
Info:Lattice Sieving: Average J: 1887.53 for 483320 special-q, max bucket fill -bkmult 1.0,1s:1.308130
Info:Lattice Sieving: Total time: 48206.2s
Info:Generate Free Relations: Total cpu/real time for freerel: 88.18/24.4694
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.09/50.5338
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 50.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 104.22/87.2656
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 78.1s
Info:Filtering - Merging: Merged matrix has 412020 rows and total weight 70398366 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 85.23/23.8978
Info:Filtering - Merging: Total cpu/real time for replay: 13.34/11.0489
Info:Linear Algebra: Total cpu/real time for bwc: 2427.17/626
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1504.1, WCT time 384.35, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12928 iterations)
Info:Linear Algebra: Lingen CPU time 63.32, WCT time 16.13
Info:Linear Algebra: Mksol: CPU time 822.64,  WCT time 210.29, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6528 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.84/1.00295
Info:Quadratic Characters: Total cpu/real time for characters: 13.03/5.17433
Info:Square Root: Total cpu/real time for sqrt: 119.71/37.0392
Info:Filtering - Singleton removal: Total cpu/real time for purge: 71.8/66.9117
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 91494.1/25173.6
Info:root: Cleaning up computation data in /tmp/cado.i3bl3adu
54984555403201230228613426545955569852186587 2554568455591367141360416549231052109085069147341293134870414327399493529494283229079

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)

649129745042677031617507634070136272666437866585863511474134098403707604287735060990680857460175894408051321459873590004869<123>

3575654426522306287952352808017289321772928840034474605113<58>
181541521526179150233112278680220627371804927968418866163200496813<66>

649129745042677031617507634070136272666437866585863511474134098403707604287735060990680857460175894408051321459873590004869=3575654426522306287952352808017289321772928840034474605113*181541521526179150233112278680220627371804927968418866163200496813

cado polynomial
n: 649129745042677031617507634070136272666437866585863511474134098403707604287735060990680857460175894408051321459873590004869
skew: 0.56
type: snfs
c0: -5
c2: 27
c4: 50
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 50*x^4+27*x^2-5
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3500000
tasks.lim1 = 3500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3575654426522306287952352808017289321772928840034474605113 181541521526179150233112278680220627371804927968418866163200496813
Info:Square Root: Total cpu/real time for sqrt: 191/31.1232
Info:Filtering - Merging: Merged matrix has 586263 rows and total weight 99957609 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 171.13/20.2432
Info:Filtering - Merging: Total cpu/real time for replay: 20.01/15.3023
Info:Generate Factor Base: Total cpu/real time for makefb: 2.78/0.510973
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 211.31/50.0467
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 39.0s
Info:Quadratic Characters: Total cpu/real time for characters: 24.72/5.32094
Info:Square Root: Total cpu/real time for sqrt: 191/31.1232
Info:Linear Algebra: Total cpu/real time for bwc: 7548.16/1419.78
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4664.94, WCT time 891.44, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (18432 iterations)
Info:Linear Algebra: Lingen CPU time 298.99, WCT time 26.79
Info:Linear Algebra: Mksol: CPU time 2495.74,  WCT time 476.35, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (9216 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 85.15/30.9231
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11635866
Info:Lattice Sieving: Average J: 1886.63 for 596110 special-q, max bucket fill -bkmult 1.0,1s:1.143000
Info:Lattice Sieving: Total time: 63290.3s
Info:Generate Free Relations: Total cpu/real time for freerel: 104.69/11.2298
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 93.65/27.2088
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 27.1s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 133242/33454
Info:root: Cleaning up computation data in /tmp/cado.4x0034ou
3575654426522306287952352808017289321772928840034474605113 181541521526179150233112278680220627371804927968418866163200496813

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)

7271283298160416268483155157287579022895070527608931041659709841205945177281536542911781226870944238706648054365079551395428042703887834871<139>

11117702951838998776766193405231356899165591533029839<53>
654027484783415671669387745811939719960067999020723200436545048701347571764749628172889<87>

7271283298160416268483155157287579022895070527608931041659709841205945177281536542911781226870944238706648054365079551395428042703887834871=11117702951838998776766193405231356899165591533029839*654027484783415671669387745811939719960067999020723200436545048701347571764749628172889

cado polynomial
n: 7271283298160416268483155157287579022895070527608931041659709841205945177281536542911781226870944238706648054365079551395428042703887834871
skew: 0.18
type: snfs
c0: -1
c2: 54
c4: 1000
Y0: 1000000000000000000000000000000000000000000
Y1: -1
# f(x) = 1000*x^4+54*x^2-1
# g(x) = -x+1000000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5000000
tasks.lim1 = 5000000
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: 654027484783415671669387745811939719960067999020723200436545048701347571764749628172889 11117702951838998776766193405231356899165591533029839
Info:Square Root: Total cpu/real time for sqrt: 252.41/81.526
Info:Filtering - Singleton removal: Total cpu/real time for purge: 167.57/197.164
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13672547
Info:Lattice Sieving: Average J: 1886.67 for 1545546 special-q, max bucket fill -bkmult 1.0,1s:1.237630
Info:Lattice Sieving: Total time: 176783s
Info:Linear Algebra: Total cpu/real time for bwc: 19614.2/5038.05
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 12449.29, WCT time 3188.92, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35072 iterations)
Info:Linear Algebra: Lingen CPU time 221.68, WCT time 56.17
Info:Linear Algebra: Mksol: CPU time 6758.53,  WCT time 1725.15, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (17664 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 57.46/63.6837
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 63.199999999999996s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 223.19/225.126
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 177.49999999999997s
Info:Filtering - Merging: Merged matrix has 1116614 rows and total weight 191353844 (171.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 264.05/74.0819
Info:Filtering - Merging: Total cpu/real time for replay: 40.99/34.3409
Info:Generate Factor Base: Total cpu/real time for makefb: 3.14/1.72596
Info:Quadratic Characters: Total cpu/real time for characters: 37.88/15.0642
Info:Square Root: Total cpu/real time for sqrt: 252.41/81.526
Info:Generate Free Relations: Total cpu/real time for freerel: 87.97/23.7019
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 343886/94072.1
Info:root: Cleaning up computation data in /tmp/cado.f08k1q2s
654027484783415671669387745811939719960067999020723200436545048701347571764749628172889 11117702951838998776766193405231356899165591533029839

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)

1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111711111111111111111111111111111111111111111111111111111111111111111111111111111111111111<175>

474507133896479387173663100397856242318947469404990195533195831335569<69>
2341610972183014879503100027723613714299161742145863730559527530998452318053848005324886905085382594773719<106>

Number: n
N=1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111711111111111111111111111111111111111111111111111111111111111111111111111111111111111111  ( 175 digits)
SNFS difficulty: 175 digits.
Divisors found:

Sun May 22 10:47:44 2022  p69 factor: 474507133896479387173663100397856242318947469404990195533195831335569
Sun May 22 10:47:44 2022  p106 factor: 2341610972183014879503100027723613714299161742145863730559527530998452318053848005324886905085382594773719
Sun May 22 10:47:44 2022  elapsed time 00:16:21 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
#
# N = 5x10^175+27x10^87-5 = 5(87)85(87)
#
n: 1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111711111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 10000000000000000000000000000000000000000000
deg: 4
c4: 1000
c2: 54
c0: -1
skew: 0.18
# Murphy_E = 7.978e-11
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4401150 hash collisions in 29425183 relations (27483484 unique)
Msieve: matrix is 773714 x 773942 (262.5 MB)

Sieving start time : 2022/05/22 05:47:35
Sieving end time  : 2022/05/22 10:30:51

Total sieving time: 4hrs 43min 16secs.

Total relation processing time: 0hrs 8min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 32sec.

Prototype def-par.txt line would be:
snfs,175,4,0,0,0,0,0,0,0,0,5800000,5800000,28,28,52,52,2.5,2.5,100000
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)

585384519017261970983833655699999764320538443188369134311830304552955328552351848975096005620319850046289637781019349796962896720700414207063359031447<150>

83376704868033388064838095695254036999829215572061791257855205861<65>
7020960110426458916657040243747071044543257656352941484493785676354720321208167041227<85>

Number: n
N=585384519017261970983833655699999764320538443188369134311830304552955328552351848975096005620319850046289637781019349796962896720700414207063359031447  ( 150 digits)
SNFS difficulty: 177 digits.
Divisors found:

Thu May 26 18:23:53 2022  p65 factor: 83376704868033388064838095695254036999829215572061791257855205861
Thu May 26 18:23:53 2022  p85 factor: 7020960110426458916657040243747071044543257656352941484493785676354720321208167041227
Thu May 26 18:23:53 2022  elapsed time 00:17:17 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 5x10^177+27x10^88-5 = 5(88)85(88)
#
n: 585384519017261970983833655699999764320538443188369134311830304552955328552351848975096005620319850046289637781019349796962896720700414207063359031447
m: 100000000000000000000000000000
deg: 6
c6: 1000
c3: 54
c0: -1
skew: 0.32
# Murphy_E = 7.372e-11
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2844040 hash collisions in 28779673 relations (27599756 unique)
Msieve: matrix is 772499 x 772725 (265.5 MB)

Sieving start time : 2022/05/26 14:40:40
Sieving end time  : 2022/05/26 18:05:46

Total sieving time: 3hrs 25min 6secs.

Total relation processing time: 0hrs 9min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 6sec.

Prototype def-par.txt line would be:
snfs,177,6,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
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)

500704956222383065718748794002196653637852683564588681206499138879576377205027397290025605676489650416798774159199081030508753821<129>

1303172097270322553006100209202182886248882239<46>
384220132760039979980258913602519720301549807319694724931127855991393655521767093539<84>

500704956222383065718748794002196653637852683564588681206499138879576377205027397290025605676489650416798774159199081030508753821=1303172097270322553006100209202182886248882239*384220132760039979980258913602519720301549807319694724931127855991393655521767093539

cado polynomial
n: 500704956222383065718748794002196653637852683564588681206499138879576377205027397290025605676489650416798774159199081030508753821
skew: 1.42
type: snfs
c0: -50
c3: 27
c6: 5
Y0: 1000000000000000000000000000000
Y1: -1
# f(x) = 5*x^6+27*x^3-50
# g(x) = -x+100000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7200000
tasks.lim1 = 7200000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1303172097270322553006100209202182886248882239 384220132760039979980258913602519720301549807319694724931127855991393655521767093539
Info:Square Root: Total cpu/real time for sqrt: 236.13/71.2212
Info:Generate Free Relations: Total cpu/real time for freerel: 221.87/56.5937
Info:Filtering - Singleton removal: Total cpu/real time for purge: 121.75/122.505
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22417081
Info:Lattice Sieving: Average J: 1898.59 for 1180840 special-q, max bucket fill -bkmult 1.0,1s:1.213570
Info:Lattice Sieving: Total time: 178133s
Info:Linear Algebra: Total cpu/real time for bwc: 17348.8/4472.72
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 10991.09, WCT time 2822.7, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (33280 iterations)
Info:Linear Algebra: Lingen CPU time 213.11, WCT time 53.97
Info:Linear Algebra: Mksol: CPU time 5971.61,  WCT time 1532.89, iteration CPU time 0.09, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16640 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.26/104.398
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 104.3s
Info:Filtering - Merging: Merged matrix has 1057054 rows and total weight 180309486 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 255.87/71.6587
Info:Filtering - Merging: Total cpu/real time for replay: 37.9/31.9135
Info:Generate Factor Base: Total cpu/real time for makefb: 5.81/2.76095
Info:Quadratic Characters: Total cpu/real time for characters: 35.23/14.0792
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 226.23/192.608
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 173.5s
Info:Square Root: Total cpu/real time for sqrt: 236.13/71.2212
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 348389/94600.5
Info:root: Cleaning up computation data in /tmp/cado.icvc66v5
1303172097270322553006100209202182886248882239 384220132760039979980258913602519720301549807319694724931127855991393655521767093539

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)

114781680022031654790148843947040329702570709044430232176824116484948328214586921910820672201232670304993403669021653873846692331161629512812487815207280161202146183261784747<174>

6884153413274369885219329018113073219886807532531974769673313335163738247957314213<82>
16673318145511380166614472687521023742078188033805626029690107313440098841487033363009371919<92>

Number: n
N=114781680022031654790148843947040329702570709044430232176824116484948328214586921910820672201232670304993403669021653873846692331161629512812487815207280161202146183261784747  ( 174 digits)
SNFS difficulty: 181 digits.
Divisors found:

Thu May 26 14:38:15 2022  p82 factor: 6884153413274369885219329018113073219886807532531974769673313335163738247957314213
Thu May 26 14:38:15 2022  p92 factor: 16673318145511380166614472687521023742078188033805626029690107313440098841487033363009371919
Thu May 26 14:38:15 2022  elapsed time 00:22:28 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 5x10^181+27x10^90-5 = 5(90)85(90)
#
n: 114781680022031654790148843947040329702570709044430232176824116484948328214586921910820672201232670304993403669021653873846692331161629512812487815207280161202146183261784747
m: 1000000000000000000000000000000
deg: 6
c6: 50
c3: 27
c0: -5
skew: 0.68
# Murphy_E = 4.846e-11
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3644494 hash collisions in 28929920 relations (26564034 unique)
Msieve: matrix is 963323 x 963548 (328.5 MB)

Sieving start time : 2022/05/26 09:46:01
Sieving end time  : 2022/05/26 14:14:55

Total sieving time: 4hrs 28min 54secs.

Total relation processing time: 0hrs 14min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 13sec.

Prototype def-par.txt line would be:
snfs,181,6,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
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)

2978657803313672677571195623089584345352223166602015013724068828776381952158538727399793959057009366350302105703569767932608296341215194677401702064893963949001754441125469<172>

140510393951338137197933163939636669912463759274037482769235481<63>
21198843157078101103634109526119408686944994598347855151657742590986989729348452181025533775654559456906334949<110>

Number: n
N=2978657803313672677571195623089584345352223166602015013724068828776381952158538727399793959057009366350302105703569767932608296341215194677401702064893963949001754441125469  ( 172 digits)
SNFS difficulty: 183 digits.
Divisors found:

Fri May 27 00:01:39 2022  p63 factor: 140510393951338137197933163939636669912463759274037482769235481
Fri May 27 00:01:39 2022  p110 factor: 21198843157078101103634109526119408686944994598347855151657742590986989729348452181025533775654559456906334949
Fri May 27 00:01:39 2022  elapsed time 00:23:10 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.339).
Factorization parameters were as follows:
#
# N = 5x10^183+27x10^91-5 = 5(91)85(91)
#
n: 2978657803313672677571195623089584345352223166602015013724068828776381952158538727399793959057009366350302105703569767932608296341215194677401702064893963949001754441125469
m: 1000000000000000000000000000000
deg: 6
c6: 1000
c3: 54
c0: -1
skew: 0.32
# Murphy_E = 4.765e-11
type: snfs
lss: 1
rlim: 7900000
alim: 7900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3570604 hash collisions in 28859032 relations (27394777 unique)
Msieve: matrix is 966843 x 967070 (332.1 MB)

Sieving start time : 2022/05/26 18:25:47
Sieving end time  : 2022/05/26 23:37:32

Total sieving time: 5hrs 11min 45secs.

Total relation processing time: 0hrs 14min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 22sec.

Prototype def-par.txt line would be:
snfs,183,6,0,0,0,0,0,0,0,0,7900000,7900000,28,28,53,53,2.5,2.5,100000
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)

881016034986667368971172932736376889422356176309786668418028967817816068828908476071122465062506392354557082637563950777748165173403935987208803684984855809544753393190527<171>

112435288550758902897461739469832478534403621<45>
7835760874922580410270818411486934244644465487528875826627813330013780201559348077141080941013576876808035342544996561324965587<127>

Number: n
N=881016034986667368971172932736376889422356176309786668418028967817816068828908476071122465062506392354557082637563950777748165173403935987208803684984855809544753393190527  ( 171 digits)
SNFS difficulty: 186 digits.
Divisors found:

Sun May 29 00:53:41 2022  p45 factor: 112435288550758902897461739469832478534403621
Sun May 29 00:53:41 2022  p127 factor: 7835760874922580410270818411486934244644465487528875826627813330013780201559348077141080941013576876808035342544996561324965587
Sun May 29 00:53:41 2022  elapsed time 00:28:45 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 5x10^185+27x10^92-5 = 5(92)85(92)
#
n: 881016034986667368971172932736376889422356176309786668418028967817816068828908476071122465062506392354557082637563950777748165173403935987208803684984855809544753393190527
m: 10000000000000000000000000000000
deg: 6
c6: 5
c3: 27
c0: -50
skew: 1.47
# Murphy_E = 3.358e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3491809 hash collisions in 28796553 relations (26608833 unique)
Msieve: matrix is 1107172 x 1107397 (381.2 MB)

Sieving start time : 2022/05/28 18:54:09
Sieving end time  : 2022/05/29 00:23:49

Total sieving time: 5hrs 29min 40secs.

Total relation processing time: 0hrs 20min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 24sec.

Prototype def-par.txt line would be:
snfs,186,6,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
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)

76016837382822064546066249167567617751729834120610181585391991271868683129278676227379576162066241489254687993588587<116>

104312039261493591516333398257759162169<39>
728744619710290742565369250264773972739666029925934192220622243555728569232323<78>

76016837382822064546066249167567617751729834120610181585391991271868683129278676227379576162066241489254687993588587=104312039261493591516333398257759162169*728744619710290742565369250264773972739666029925934192220622243555728569232323

cado polynomial
n: 76016837382822064546066249167567617751729834120610181585391991271868683129278676227379576162066241489254687993588587
skew: 46686.355
c0: -7123143031242834566243426175
c1: 41201864652167364073764
c2: 9800996107041320035
c3: -63291400240744
c4: -825191376
c5: 33120
Y0: -19434040129462526162968
Y1: 155080512770793083
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 8.943e-07
# f(x) = 33120*x^5-825191376*x^4-63291400240744*x^3+9800996107041320035*x^2+41201864652167364073764*x-7123143031242834566243426175
# g(x) = 155080512770793083*x-19434040129462526162968

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: 728744619710290742565369250264773972739666029925934192220622243555728569232323 104312039261493591516333398257759162169
Info:Square Root: Total cpu/real time for sqrt: 241.09/71.0254
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 126.88/136.512
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 100.3s
Info:Square Root: Total cpu/real time for sqrt: 241.09/71.0254
Info:Filtering - Singleton removal: Total cpu/real time for purge: 98.13/113.51
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7328016
Info:Lattice Sieving: Average J: 1905.15 for 167946 special-q, max bucket fill -bkmult 1.0,1s:1.256200
Info:Lattice Sieving: Total time: 18639.9s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.04/1.08593
Info:Linear Algebra: Total cpu/real time for bwc: 2580.45/666.14
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1596.89, WCT time 409.23, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13824 iterations)
Info:Linear Algebra: Lingen CPU time 67.77, WCT time 17.28
Info:Linear Algebra: Mksol: CPU time 878.24,  WCT time 224.52, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6912 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 64.11/16.9454
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 29.69/32.58
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 31.699999999999996s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 405.71
Info:Polynomial Selection (root optimized): Rootsieve time: 404.61
Info:Filtering - Merging: Merged matrix has 440354 rows and total weight 68579534 (155.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 70.29/20.7857
Info:Filtering - Merging: Total cpu/real time for replay: 14.45/11.8331
Info:Quadratic Characters: Total cpu/real time for characters: 15.83/6.21009
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): 21887/33.650/41.387/50.110/1.069
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17304/33.200/36.630/42.360/0.836
Info:Polynomial Selection (size optimized): Total time: 1809.7
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 39668.3/10874.3
Info:root: Cleaning up computation data in /tmp/cado.tisjzawf
728744619710290742565369250264773972739666029925934192220622243555728569232323 104312039261493591516333398257759162169

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)

7941794863093535889217936430956576874329963226091489855011108913957969672242752607744471931957465675298735575411604070159479467756216879249323804393956891554529779988823024462963873<181>

1355304335412401505036997503737811792628422587367837877592014139020774869121464758822953<88>
5859787101379669732564218177357242886764678656329023790035876509402982282817343884972993267641<94>

Number: n
N=7941794863093535889217936430956576874329963226091489855011108913957969672242752607744471931957465675298735575411604070159479467756216879249323804393956891554529779988823024462963873  ( 181 digits)
SNFS difficulty: 192 digits.
Divisors found:

Sun Jun 26 11:17:45 2022  p88 factor: 1355304335412401505036997503737811792628422587367837877592014139020774869121464758822953
Sun Jun 26 11:17:45 2022  p94 factor: 5859787101379669732564218177357242886764678656329023790035876509402982282817343884972993267641
Sun Jun 26 11:17:45 2022  elapsed time 00:49:52 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 5x10^191+27x10^95-5 = 5(95)85(95)
#
n: 7941794863093535889217936430956576874329963226091489855011108913957969672242752607744471931957465675298735575411604070159479467756216879249323804393956891554529779988823024462963873
m: 100000000000000000000000000000000
deg: 6
c6: 5
c3: 27
c0: -50
skew: 1.47
# Murphy_E = 2.153e-11
type: snfs
lss: 1
rlim: 11400000
alim: 11400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11400000/11400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3556404 hash collisions in 28578871 relations (26279893 unique)
Msieve: matrix is 1428021 x 1428246 (496.1 MB)

Sieving start time : 2022/06/26 04:29:00
Sieving end time  : 2022/06/26 10:27:18

Total sieving time: 5hrs 58min 18secs.

Total relation processing time: 0hrs 38min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 57sec.

Prototype def-par.txt line would be:
snfs,192,6,0,0,0,0,0,0,0,0,11400000,11400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

122799952559430097032406155184763724984145872327837907188159046979678079464157330502264401400247472156316989317570553897677847107950621<135>

78856962133267173766082648281375658717653<41>
1557249344095957920565744097833007801623062290712029183610466881869249979367106972407150274857<94>

122799952559430097032406155184763724984145872327837907188159046979678079464157330502264401400247472156316989317570553897677847107950621=78856962133267173766082648281375658717653*1557249344095957920565744097833007801623062290712029183610466881869249979367106972407150274857

cado polynomial
n: 122799952559430097032406155184763724984145872327837907188159046979678079464157330502264401400247472156316989317570553897677847107950621
skew: 859952.441
c0: 616106225689096186499795714330880
c1: 7129318908047371094463409132
c2: -3064162638194391629859
c3: -9455181505650467
c4: -330382816
c5: 4320
Y0: -142776120182993858770055549
Y1: 17179663348875087497
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.343e-07
# f(x) = 4320*x^5-330382816*x^4-9455181505650467*x^3-3064162638194391629859*x^2+7129318908047371094463409132*x+616106225689096186499795714330880
# g(x) = 17179663348875087497*x-142776120182993858770055549

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: 78856962133267173766082648281375658717653 1557249344095957920565744097833007801623062290712029183610466881869249979367106972407150274857
Info:Square Root: Total cpu/real time for sqrt: 416.95/126.11
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 190.98/160.585
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 148.60000000000002s
Info:Square Root: Total cpu/real time for sqrt: 416.95/126.11
Info:Filtering - Singleton removal: Total cpu/real time for purge: 88.97/98.087
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17017551
Info:Lattice Sieving: Average J: 3874.96 for 604320 special-q, max bucket fill -bkmult 1.0,1s:1.159740
Info:Lattice Sieving: Total time: 204979s
Info:Generate Factor Base: Total cpu/real time for makefb: 15.18/4.03469
Info:Linear Algebra: Total cpu/real time for bwc: 27055/6957.32
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 17205.45, WCT time 4403.36, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (41472 iterations)
Info:Linear Algebra: Lingen CPU time 256.27, WCT time 65.05
Info:Linear Algebra: Mksol: CPU time 9366.82,  WCT time 2406.07, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (20736 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 246.58/62.4683
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 76.17/88.2749
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 88.1s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6273.83
Info:Polynomial Selection (root optimized): Rootsieve time: 6271.38
Info:Filtering - Merging: Merged matrix has 1320199 rows and total weight 224468928 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 342.23/94.9556
Info:Filtering - Merging: Total cpu/real time for replay: 48.84/43.205
Info:Quadratic Characters: Total cpu/real time for characters: 44.58/18.307
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): 54083/39.540/48.185/52.670/0.967
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44265/39.020/43.020/48.830/1.055
Info:Polynomial Selection (size optimized): Total time: 11140.1
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 430225/115277
Info:root: Cleaning up computation data in /tmp/cado.167yxjlu
78856962133267173766082648281375658717653 1557249344095957920565744097833007801623062290712029183610466881869249979367106972407150274857

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)

302391459836199989253007517421452381948112830841582345564069991890163438652952488223591390274068568696853377971151068513830946905291025018448146985956970844352856119089256191699493527567834947<192>

624217899495276869190760515845747945297777927<45>
484432535626908961278552658969357367320032786179148838912148153621895646225388260094718891452048413675389811836218859043080242108296023765899948261<147>

Number: n
N=302391459836199989253007517421452381948112830841582345564069991890163438652952488223591390274068568696853377971151068513830946905291025018448146985956970844352856119089256191699493527567834947  ( 192 digits)
SNFS difficulty: 199 digits.
Divisors found:

Tue Aug 30 17:19:28 2022  p45 factor: 624217899495276869190760515845747945297777927
Tue Aug 30 17:19:28 2022  p147 factor: 484432535626908961278552658969357367320032786179148838912148153621895646225388260094718891452048413675389811836218859043080242108296023765899948261
Tue Aug 30 17:19:28 2022  elapsed time 01:37:00 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 5x10^199+27x10^99-5 = 5(99)85(99)
#
n: 302391459836199989253007517421452381948112830841582345564069991890163438652952488223591390274068568696853377971151068513830946905291025018448146985956970844352856119089256191699493527567834947
m: 1000000000000000000000000000000000
deg: 6
c6: 50
c3: 27
c0: -5
skew: 0.68
# Murphy_E = 1.273e-11
type: snfs
lss: 1
rlim: 14900000
alim: 14900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14900000/14900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3680756 hash collisions in 27658424 relations (25100937 unique)
Msieve: matrix is 1956918 x 1957144 (683.2 MB)

Sieving start time : 2022/08/30 07:04:26
Sieving end time  : 2022/08/30 15:41:58

Total sieving time: 8hrs 37min 32secs.

Total relation processing time: 1hrs 16min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 12min 12sec.

Prototype def-par.txt line would be:
snfs,199,6,0,0,0,0,0,0,0,0,14900000,14900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

6972720436555088889709764859008097961943888174720373041839417133047203214746578573116965772812197981320499985865185851015024925127547797921057558280311529560232222699107<169>

321275461550204922542872521533030941172056179648592201696018792276539132001911858986857975121456611009694654467971699852212341224746983413422472966741594727487<159>

45109191805769953319314864077307379745139<41>
7122172858550534208793885612471701271000442990152193986615905285696508500370157345463847020698615083195444177497616133<118>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2032887888
Step 1 took 28380ms
Step 2 took 12848ms
********** Factor found in step 2: 45109191805769953319314864077307379745139
Found prime factor of 41 digits: 45109191805769953319314864077307379745139
Prime cofactor 7122172858550534208793885612471701271000442990152193986615905285696508500370157345463847020698615083195444177497616133 has 118 digits

486092287358584606867566921600207805819016964480956114594345538289427155335215405208644084294706726322351790900870562688951686337203547154521199515898936899407346351003873<171>

13746625526206306767507746259052427792920536789521119340903049392662493711769400825978045672182301620289489383920868612432081339101797567531763329763025547603510091736034556470659932679836484647<194>

5360273071435148526517662480830579<34>

2564538288070054129198660291089499780645793453524818114099376301507387463716087531755716386773225117787938048997480433949592953660402575310953231811214234375293<160>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1829059025
Step 1 took 14760ms
Step 2 took 5008ms
********** Factor found in step 2: 5360273071435148526517662480830579
Found probable prime factor of 34 digits: 5360273071435148526517662480830579
Composite cofactor 2564538288070054129198660291089499780645793453524818114099376301507387463716087531755716386773225117787938048997480433949592953660402575310953231811214234375293 has 160 digits

2564538288070054129198660291089499780645793453524818114099376301507387463716087531755716386773225117787938048997480433949592953660402575310953231811214234375293<160>

1042574761076412303099734794469234200448981650577<49>
2459812364364433526934736446601200843073512397896529223607374769523772796328733736196547396776637400119724011309<112>

Number: 55855_110
N = 2564538288070054129198660291089499780645793453524818114099376301507387463716087531755716386773225117787938048997480433949592953660402575310953231811214234375293 (160 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=1042574761076412303099734794469234200448981650577 (pp49)
r2=2459812364364433526934736446601200843073512397896529223607374769523772796328733736196547396776637400119724011309 (pp112)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 23.27 hours.
Factorization parameters were as follows:
n: 2564538288070054129198660291089499780645793453524818114099376301507387463716087531755716386773225117787938048997480433949592953660402575310953231811214234375293
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 50
c2: 27
c0: -5
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: 31762064
Relations: 7027436 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 8.59 hours.
Total relation processing time: 0.26 hours.
Pruned matrix : 6206601 x 6206827
Matrix solve time: 14.31 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: 23.27 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

3494920740805246819538049119564791560079710116829928953554093491327396908926892776705198036675903744633034613566864412499597552911963290567464912225412009692810183243690210177346495035996488288692287<199>

28341531584651922283860032875626059691214208031905796216226296295386222854412616169588209395462859<98>
123314462747591480811577946959821691795388556986655926377661620961266343200324557674284860333420809693<102>

Number: 55855_111
N = 3494920740805246819538049119564791560079710116829928953554093491327396908926892776705198036675903744633034613566864412499597552911963290567464912225412009692810183243690210177346495035996488288692287 (199 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=28341531584651922283860032875626059691214208031905796216226296295386222854412616169588209395462859 (pp98)
r2=123314462747591480811577946959821691795388556986655926377661620961266343200324557674284860333420809693 (pp102)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 28.97 hours.
Factorization parameters were as follows:
n: 3494920740805246819538049119564791560079710116829928953554093491327396908926892776705198036675903744633034613566864412499597552911963290567464912225412009692810183243690210177346495035996488288692287
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1000
c2: 54
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30364521
Relations: 8458974 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 9.98 hours.
Total relation processing time: 0.26 hours.
Pruned matrix : 7193473 x 7193698
Matrix solve time: 18.56 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 28.97 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

89843625414722113772895788791260286925421237301233638422031633519409275145162093954631033600593374091534517580001275128682454244223968209038853160829318114954877980385177402422009773118561270121959991474863899<209>

10082456910679276713889761866392739069040265328734760042238037506351444726268454611774421643356741542139939998501448015212614908583923826164353495382563148637003373529675062636995902717<185>

837405066813408695062065023856529130733597978224241804957067005807385603873939855573843928525937730604174714239487208425167342534683293024750753831540336348064535279986178982265074473<183>

52002357227203167489777593117029674159019<41>
16103213613081183135708913779661642990775561177055918086465454904367051828896867744675161346644547897507051283015654003772776066161863329695867<143>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2574131406
Step 1 took 11548ms
Step 2 took 4580ms
********** Factor found in step 2: 52002357227203167489777593117029674159019
Found probable prime factor of 41 digits: 52002357227203167489777593117029674159019
Probable prime cofactor 16103213613081183135708913779661642990775561177055918086465454904367051828896867744675161346644547897507051283015654003772776066161863329695867 has 143 digits

41054728121764676251871552698727832586799084183935267720917886240668304762779204441455553590593809379582224441065529737701658466584424437165407378252395719417665613669712406589502020217996621819397627589426132911<212>

72723109228651626827630861652253393957<38>
564534830224088314489873738098133952909923648337187581868698431854727184193684927220011470581545015491561052538026384155112096065056249047424729416835193650487977077806086723<174>

Resuming ECM residue saved by @15051e7e3575 with GMP-ECM 7.0.5-dev on Sat Jul 30 09:40:48 2022 
Input number is 41054728121764676251871552698727832586799084183935267720917886240668304762779204441455553590593809379582224441065529737701658466584424437165407378252395719417665613669712406589502020217996621819397627589426132911 (212 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:559159489
Step 1 took 0ms
Step 2 took 7438ms
********** Factor found in step 2: 72723109228651626827630861652253393957
Found prime factor of 38 digits: 72723109228651626827630861652253393957
Prime cofactor 564534830224088314489873738098133952909923648337187581868698431854727184193684927220011470581545015491561052538026384155112096065056249047424729416835193650487977077806086723 has 174 digits

21071038755198287952209498698143482485486677459118616781317218812752181116506902484340573609796546579893699498321695755298872967187641865714383885603867599095745010717804861428542472256131419809891857313<203>

2150694518210848430960968123376293820461695033621093726646521318833320063363466703346171685236380124055970940256515368521847505140226254109337972321086111906115537616645814749367958520272719803258513367371177447113439354449719<226>

4064114306129271849543046438382680211161405445377672257817947981961268797365253907688716195387512413501810878403377<115>

1700865604126882942102818113581604240098643053<46>
2389438822366880447413906108726339391909918374831934789687013050900309<70>

4064114306129271849543046438382680211161405445377672257817947981961268797365253907688716195387512413501810878403377=1700865604126882942102818113581604240098643053*2389438822366880447413906108726339391909918374831934789687013050900309

cado polynomial
n: 4064114306129271849543046438382680211161405445377672257817947981961268797365253907688716195387512413501810878403377
skew: 13690.494
c0: -35417233852211572669650960
c1: 27972713528328202715277
c2: -1119835269364991168
c3: -60446592739513
c4: 7850887212
c5: 123840
Y0: -2462712335115407302694
Y1: 977641986647749679
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.072e-06
# f(x) = 123840*x^5+7850887212*x^4-60446592739513*x^3-1119835269364991168*x^2+27972713528328202715277*x-35417233852211572669650960
# g(x) = 977641986647749679*x-2462712335115407302694

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: 2389438822366880447413906108726339391909918374831934789687013050900309 1700865604126882942102818113581604240098643053
Info:Square Root: Total cpu/real time for sqrt: 143.55/41.9026
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 118.03/121.137
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 93.4s
Info:Square Root: Total cpu/real time for sqrt: 143.55/41.9026
Info:Filtering - Singleton removal: Total cpu/real time for purge: 86.94/101.818
Info:Generate Free Relations: Total cpu/real time for freerel: 64.17/16.8559
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7027081
Info:Lattice Sieving: Average J: 1899.73 for 138357 special-q, max bucket fill -bkmult 1.0,1s:1.255600
Info:Lattice Sieving: Total time: 15867s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.05/1.09778
Info:Linear Algebra: Total cpu/real time for bwc: 2587.99/667.92
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1600.69, WCT time 410.11, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13824 iterations)
Info:Linear Algebra: Lingen CPU time 67.85, WCT time 17.29
Info:Linear Algebra: Mksol: CPU time 881.8,  WCT time 225.27, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6912 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 28.66/31.4596
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 30.700000000000003s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 321.13
Info:Polynomial Selection (root optimized): Rootsieve time: 320
Info:Filtering - Merging: Merged matrix has 440040 rows and total weight 68456807 (155.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 71.64/21.2595
Info:Filtering - Merging: Total cpu/real time for replay: 14.91/12.0659
Info:Quadratic Characters: Total cpu/real time for characters: 16.23/6.34309
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): 21749/33.130/40.859/46.470/1.096
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16935/32.710/36.181/41.320/0.838
Info:Polynomial Selection (size optimized): Total time: 1819.57
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 34380.2/9428.39
Info:root: Cleaning up computation data in /tmp/cado.ts_7puvs
2389438822366880447413906108726339391909918374831934789687013050900309 1700865604126882942102818113581604240098643053

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)

67821970785306641722199662054882382705101772531602754649537349491692721612590087352578197184559735832721850613141788152936531797430593046444689761930364170168341067898956817849596985847056813<191>

52139420475301965222604292859912981834781541<44>
1300781062908694538553537488933743904222919080488310026316279586245532397656482810796436565443375042882571222260163113521590447565003877806375783593<148>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:180007482
Step 1 took 8484ms
Step 2 took 4313ms
********** Factor found in step 2: 52139420475301965222604292859912981834781541
Found prime factor of 44 digits: 52139420475301965222604292859912981834781541
Prime cofactor 1300781062908694538553537488933743904222919080488310026316279586245532397656482810796436565443375042882571222260163113521590447565003877806375783593 has 148 digits
 

GMP-ECM

4434897182637894344845796275955490012970681511553707843135544595549472047608597837690670106130857814568544441461758904010411937853882567893961833742459775956085387128252867331489385029350145087490968721059650201861<214>

38052617787724582855564114510587944072839647440971763200022251139785734298466599395575615712551693793934458477810540448078869860419873488427036029244682175728659824265501988619877087716615872244864812388427193172210308572283685567510759546337243<245>

1211629279644557835894721504762150493<37>
31406155683929703975202201557082683325667087661456724567388057145374020570435050425604253493070976619563639305300349258304561506225770854638973844715626527061160196497396286854473248930154494952668750466169751<209>

Resuming ECM residue saved by @6567d5130c41 with GMP-ECM 7.0.5-dev on Wed Jul 27 15:48:07 2022 
Input number is 38052617787724582855564114510587944072839647440971763200022251139785734298466599395575615712551693793934458477810540448078869860419873488427036029244682175728659824265501988619877087716615872244864812388427193172210308572283685567510759546337243 (245 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3871410999
Step 1 took 0ms
Step 2 took 6714ms
********** Factor found in step 2: 1211629279644557835894721504762150493
Found prime factor of 37 digits: 1211629279644557835894721504762150493
Prime cofactor 31406155683929703975202201557082683325667087661456724567388057145374020570435050425604253493070976619563639305300349258304561506225770854638973844715626527061160196497396286854473248930154494952668750466169751 has 209 digits

3549511085615613294466307423618693569519771855339183382155084604347819201360113460359947238296167283323076610620820957380635488487851220930239823580372603789801794364196859559391324678437043819930518859678516233096102060599043<226>

20503317080233009440868125311601136959106501983196732510030414686729782252958186486726958841941155914679629117990016516467969099351238401674467340607937942972660466759178606317263325643<185>

2231830551813071437713149986476100020608343904248093433698815739622606653293944193363172590891135740999413993385220711002663964948297144501116893598828922978721296552534621808748205619674473868606069745690766896273443497118747042150784999851774089816610767<256>

10921266391566762806649970191429379723<38>

204356387967649734230510321893247173968913940365448972834860015943887716404041597735742593197427682882733892074412849816628689188547461820329671522934702707936908054082932551576060431465714318360351664288210830524055629<219>

Resuming ECM residue saved by @9cf65561818e with GMP-ECM 7.0.5-dev on Mon Jul 18 13:10:07 2022 
Input number is 2231830551813071437713149986476100020608343904248093433698815739622606653293944193363172590891135740999413993385220711002663964948297144501116893598828922978721296552534621808748205619674473868606069745690766896273443497118747042150784999851774089816610767 (256 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3377174829
Step 1 took 0ms
Step 2 took 4600ms
********** Factor found in step 2: 10921266391566762806649970191429379723
Found prime factor of 38 digits: 10921266391566762806649970191429379723
Composite cofactor 204356387967649734230510321893247173968913940365448972834860015943887716404041597735742593197427682882733892074412849816628689188547461820329671522934702707936908054082932551576060431465714318360351664288210830524055629 has 219 digits

643327372215793511074653716712912943367867822805308027821270857995499026454892420233797830747029902733798962624430808694333448148738056506391764016811781861023828166429228973651243149851409124568683000683002399829<213>

2362558177995133130153330025751884140146951118671297280695537127601767193517140359581354690859262409336829919436766130365960261771446134618564982162685756136744867342358305573274741890519054031705530748694686606657688945590285160772084012568809506934108252415715737<265>

708036868366234889567343041309277565727162014304180800258094638347010569163269637405720070809870445047300456614779697484726931676951577780093360437915350192117431819948789552382202995006591999055290474807270473119934964049047495277941548662829705517933<252>

1110225297400406021385895571615760188441<40>

637741609765246872166167309101597467179017131801251853565347732067150669490981080605518814607517709702752418302927793743355955993331134775260564464886178535839962731484337188913846296227224762063500304643426180213<213>

Resuming ECM residue saved by @9cf65561818e with GMP-ECM 7.0.5-dev on Mon Jul 18 13:19:03 2022 
Input number is 708036868366234889567343041309277565727162014304180800258094638347010569163269637405720070809870445047300456614779697484726931676951577780093360437915350192117431819948789552382202995006591999055290474807270473119934964049047495277941548662829705517933 (252 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3398483043
Step 1 took 0ms
Step 2 took 5427ms
********** Factor found in step 2: 1110225297400406021385895571615760188441
Found prime factor of 40 digits: 1110225297400406021385895571615760188441
Composite cofactor 637741609765246872166167309101597467179017131801251853565347732067150669490981080605518814607517709702752418302927793743355955993331134775260564464886178535839962731484337188913846296227224762063500304643426180213 has 213 digits

18438049781613380225461059423422092083428864136260967788288314515486833720699999739317570553441986003121348647725099120238202620085279176152817226796813894563951012593143743901664850002581929641756227575451327288304539512241615301469019786983243061836701<254>

34214805536885752124893776575275471267477528027154864952955793156670071833723299461978239698072733118642406390591996736053007902596744544913231560421241170264840793513206556685150199724720191000397<197>

19570034282875940196950488505118867234366099142739018467951910574118429606090081928080049865128121566387296659647820378180434780548227396905492191465282089481518707375536498754928168737782603017568887842303121379409741398310435917957<233>

81603231326748323736915987472760943045763266780342119580709129793870668642298769221441000767222835098696130747579271910021616496354427632270713524788624259750119231033851439522295740375502903197251481446415150256291<215>

527112038083260999823480518121824513291178515183499499311390621656692328117043807168811402858612778488934590034670006822407161676306755687954918173747976863279601773216270483150775109618973295330115119960000005992635014807581628862391907741<240>

99222237446760710416926693027074530391653456836417968155569760899995389278378048131198830550476449804373467498125494235593803016653655013843275225275755705369072057727704804408447602661970334056472288403389<206>

5291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291<283>

484103591056565037374782960183397663799174211551568957277010471922525102804985176823833868402530507056700796628332799161749043079732083301211806955066512823350453016710956666783070773970615123472222646247210872242936243540548457331787519229228749221<249>

600925425154738296977345111471666366203954089297518177994110930833483564689622017907577669611201249924884321855657712877831861066041704224505739162309957334294814013580914608497085511687999519259659876209362418123910822666907036836728561985457604711255333213148248302385673937864311039<285>

395285596743058129459394495040151436096321352028976558704818154278436819676650184377959227235031715178915670681816001601986913660423206276016616952072915610818099979679209524754004830176206316609576299019534174330539976015638448424584630799678289645872438795873758777<267>

36864312507341384402843739679653823474904580851784942558965225963991229750062116201903982286481573346703514703786364025142913177053297084682824584855026090226600729978295879313836056998515306938258310976724870232836404208646078445764243642372370593152623<254>

180097313692158950891398073690509932073511455575913762872140841397720188239764669860410125868807578671401666199638181702406860441326951448004096202335793005351845436381232385138034291739399622656704943455726999369521488682695713781385953366744531<246>

1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<301>

1060875585756798841083104015988080354287<40>
1047352890413135162726373024630772561472148462663305380302183547983185193843945547162205785746053797997805399377749524759314268100682410954214001538167736853687708061921560785517428225480544228137001115204252766849804083663593967649492437838965578581018212259753<262>

Resuming ECM residue saved by @fd68ecbd5b30 with GMP-ECM 7.0.5-dev on Sun May 22 17:08:12 2022 
Input number is 1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (301 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1212597801
Step 1 took 0ms
Step 2 took 44097ms
********** Factor found in step 2: 1060875585756798841083104015988080354287
Found prime factor of 40 digits: 1060875585756798841083104015988080354287
Prime cofactor 1047352890413135162726373024630772561472148462663305380302183547983185193843945547162205785746053797997805399377749524759314268100682410954214001538167736853687708061921560785517428225480544228137001115204252766849804083663593967649492437838965578581018212259753 has 262 digits