966175088584598607766347870772429481280054227469905946531814193993411891264558147361837142511<93>

129556767130178867858145680739453881042093449<45>
7457542434767488267164284906787454891542821402039<49>

N=966175088584598607766347870772429481280054227469905946531814193993411891264558147361837142511
  ( 93 digits)
SNFS difficulty: 102 digits.
Divisors found:
 r1=129556767130178867858145680739453881042093449 (pp45)
 r2=7457542434767488267164284906787454891542821402039 (pp49)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.57 hours.
Scaled time: 4.48 units (timescale=7.819).
Factorization parameters were as follows:
n: 966175088584598607766347870772429481280054227469905946531814193993411891264558147361837142511
m: 10000000000000000000000000
deg: 4
c4: 185
c0: -2
skew: 0.32
# Murphy_E = 3.346e-07
type: snfs
lss: 1
rlim: 350000
alim: 350000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2Factor base limits: 350000/350000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [175000, 365001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 51709 x 51957
Total sieving time: 0.56 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,102.000,4,0,0,0,0,0,0,0,0,350000,350000,25,25,43,43,2.2,2.2,10000
total time: 0.57 hours.

GNFS, Msieve

16531355323402588523735386136123238630202155536604265163005226712153795423448633353464981<89>

1310577148372605281105042301212019655767547<43>
12613797931644250521918057292882264074073666223<47>

prp47 = 12613797931644250521918057292882264074073666223
prp43 = 1310577148372605281105042301212019655767547

Yafu

13823248195156183014117405890436440319748439573686458215694943838772792963211536698492517980821<95>

10628112002448658810753184563028108629325279549<47>
1300630647472606829853504368129717156253264131129<49>

N=13823248195156183014117405890436440319748439573686458215694943838772792963211536698492517980821
  ( 95 digits)
SNFS difficulty: 108 digits.
Divisors found:
p47 factor: 10628112002448658810753184563028108629325279549
p49 factor: 1300630647472606829853504368129717156253264131129
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.74 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 13823248195156183014117405890436440319748439573686458215694943838772792963211536698492517980821
m: 500000000000000000000000000
deg: 4
c4: 74
c0: -5
skew: 0.51
# Murphy_E = 1.457e-07
type: snfs
lss: 1
rlim: 450000
alim: 450000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 450000/450000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [225000, 465001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 38231 x 38456
Total sieving time: 0.71 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,108.000,4,0,0,0,0,0,0,0,0,450000,450000,25,25,44,44,2.2,2.2,20000
total time: 0.74 hours.
 --------- CPU info (if available) ----------

14131553875969605651651377201529207863467130278919998558569282766666952521266205334008664557389712951<101>

23579443611551907170289373439693310414989<41>
599316680612699232292636057689670673568170606200216167797459<60>

N=14131553875969605651651377201529207863467130278919998558569282766666952521266205334008664557389712951
  ( 101 digits)
SNFS difficulty: 110 digits.
Divisors found:
p41 factor: 23579443611551907170289373439693310414989
p60 factor: 599316680612699232292636057689670673568170606200216167797459
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.74 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 14131553875969605651651377201529207863467130278919998558569282766666952521266205334008664557389712951
m: 1000000000000000000000000000
deg: 4
c4: 185
c0: -2
skew: 0.32
# Murphy_E = 1.453e-07
type: snfs
lss: 1
rlim: 480000
alim: 480000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 480000/480000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [240000, 480001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 38886 x 39112
Total sieving time: 0.72 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,110.000,4,0,0,0,0,0,0,0,0,480000,480000,25,25,44,44,2.2,2.2,20000
total time: 0.74 hours.
 --------- CPU info (if available) ----------

3858991437034246824191296452925233560414079324872726124314177389441877933224598974519<85>

22013546081652611439294530802660300389447<41>
175300763571688163790631710086673920072799377<45>

prp41 = 22013546081652611439294530802660300389447
prp45 = 175300763571688163790631710086673920072799377

Yafu

10795360782070832004488623585288514605903590415725981269051496233163406894833123556107452725151587230489641<107>

155664240319256578592009570711060403586905047011811<51>
69350293682931253311132582872001054748007355385354438531<56>

N=10795360782070832004488623585288514605903590415725981269051496233163406894833123556107452725151587230489641
  ( 107 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=155664240319256578592009570711060403586905047011811 (pp51)
 r2=69350293682931253311132582872001054748007355385354438531 (pp56)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.70 hours.
Scaled time: 13.43 units (timescale=7.899).
Factorization parameters were as follows:
n: 10795360782070832004488623585288514605903590415725981269051496233163406894833123556107452725151587230489641
m: 50000000000000000000000000000000
deg: 4
c4: 74
c0: -5
skew: 0.51
# Murphy_E = 1.663e-08
type: snfs
lss: 1
rlim: 980000
alim: 980000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 980000/980000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [490000, 890001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 131151 x 131376
Total sieving time: 1.67 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,128.000,4,0,0,0,0,0,0,0,0,980000,980000,26,26,47,47,2.3,2.3,100000
total time: 1.70 hours.

GNFS, Msieve

41923715393075728801254138256202183280607870985937498882995401056258913482293130305785711373<92>

3400499853871343210855179431456958106340763963<46>
12328692014306993918244781180593482415339690071<47>

prp47 = 12328692014306993918244781180593482415339690071
prp46 = 3400499853871343210855179431456958106340763963

Yafu

15211826186886571784649712917144828810410448674760642273660152524320713089323206929722597863<92>

879679523911456511015111035745840041601520751<45>
17292463645451075486170237472996657231563503113<47>

prp47 = 17292463645451075486170237472996657231563503113
prp45 = 879679523911456511015111035745840041601520751

Yafu

21941403029716062811559979139869900953928540414315411782886038922205156196239579035910458216194398767295063480948399<116>

4249017450391791986292363335380901884812565002786893<52>
5163876892925656783713938017908618228010290737827654159809784043<64>

Thu Mar 17 23:07:54 2022  Msieve v. 1.53 (SVN unknown)
Thu Mar 17 23:07:54 2022  random seeds: d8a06ac0 0f858987
Thu Mar 17 23:07:54 2022  factoring 21941403029716062811559979139869900953928540414315411782886038922205156196239579035910458216194398767295063480948399 (116 digits)
Thu Mar 17 23:07:55 2022  searching for 15-digit factors
Thu Mar 17 23:07:55 2022  commencing number field sieve (116-digit input)
Thu Mar 17 23:07:55 2022  R0: -10000000000000000000000000000000000
Thu Mar 17 23:07:55 2022  R1: 1
Thu Mar 17 23:07:55 2022  A0: -1
Thu Mar 17 23:07:55 2022  A1: 0
Thu Mar 17 23:07:55 2022  A2: 0
Thu Mar 17 23:07:55 2022  A3: 0
Thu Mar 17 23:07:55 2022  A4: 925
Thu Mar 17 23:07:55 2022  skew 0.18, size 2.349e-14, alpha -0.107, combined = 5.623e-09 rroots = 2
Thu Mar 17 23:07:55 2022  
Thu Mar 17 23:07:55 2022  commencing square root phase
Thu Mar 17 23:07:55 2022  reading relations for dependency 1
Thu Mar 17 23:07:55 2022  read 79941 cycles
Thu Mar 17 23:07:56 2022  cycles contain 223506 unique relations
Thu Mar 17 23:07:59 2022  read 223506 relations
Thu Mar 17 23:07:59 2022  multiplying 223506 relations
Thu Mar 17 23:08:03 2022  multiply complete, coefficients have about 6.62 million bits
Thu Mar 17 23:08:03 2022  initial square root is modulo 40705949
Thu Mar 17 23:08:08 2022  sqrtTime: 13
Thu Mar 17 23:08:08 2022  p52 factor: 4249017450391791986292363335380901884812565002786893
Thu Mar 17 23:08:08 2022  p64 factor: 5163876892925656783713938017908618228010290737827654159809784043
Thu Mar 17 23:08:08 2022  elapsed time 00:00:14
Thu Mar 17 23:08:08 2022 -> Computing 1.64753e+09 scale for this machine...
Thu Mar 17 23:08:08 2022 -> procrels -speedtest> PIPE
Thu Mar 17 23:08:11 2022 -> Factorization summary written to s139-61666_137.txt

5818974100449348707617875899347687503336774026899765958142966882612090131807685313243501771492545152227205858903<112>

23711263250594235040849073950284915198457<41>
245409704196317657686163891803597753569860977211914229498677931108214479<72>

N=5818974100449348707617875899347687503336774026899765958142966882612090131807685313243501771492545152227205858903
  ( 112 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=23711263250594235040849073950284915198457 (pp41)
 r2=245409704196317657686163891803597753569860977211914229498677931108214479 (pp72)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.84 hours.
Scaled time: 69.69 units (timescale=7.880).
Factorization parameters were as follows:
n: 5818974100449348707617875899347687503336774026899765958142966882612090131807685313243501771492545152227205858903
m: 1000000000000000000000000000000000000
deg: 4
c4: 925
c0: -1
skew: 0.18
# Murphy_E = 2.226e-09
type: snfs
lss: 1
rlim: 1970000
alim: 1970000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1970000/1970000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [985000, 1885001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 270096 x 270321
Total sieving time: 8.80 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,146.000,4,0,0,0,0,0,0,0,0,1970000,1970000,26,26,49,49,2.3,2.3,100000
total time: 8.84 hours.

GNFS, Msieve

440449580499334713659865767658060549997680226132132727470882718596985742227131506916158334530315578864621537682055770984846664283401<132>

1165898650258237321925969990575812004508965672524677352697<58>
377776902307742287995981131788692220412808483552805472650972833899621465233<75>

N=440449580499334713659865767658060549997680226132132727470882718596985742227131506916158334530315578864621537682055770984846664283401
  ( 132 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=1165898650258237321925969990575812004508965672524677352697 (pp58)
 r2=377776902307742287995981131788692220412808483552805472650972833899621465233 (pp75)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.61 hours.
Scaled time: 75.50 units (timescale=7.855).
Factorization parameters were as follows:
n: 440449580499334713659865767658060549997680226132132727470882718596985742227131506916158334530315578864621537682055770984846664283401
m: 5000000000000000000000000000000000000
deg: 4
c4: 148
c0: -1
skew: 0.29
# Murphy_E = 1.796e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 353167 x 353415
Total sieving time: 9.55 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,148.000,4,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 9.61 hours.

GNFS, Msieve

500223409106789265838928759654631870391063818454839471036125022536145740635165498496873087637372657155459<105>

10857916302009919741594181875315212866689282636845331<53>
46069926788272664295025085881598174487148965948891089<53>

500223409106789265838928759654631870391063818454839471036125022536145740635165498496873087637372657155459=10857916302009919741594181875315212866689282636845331*46069926788272664295025085881598174487148965948891089

cado polynomial
n: 500223409106789265838928759654631870391063818454839471036125022536145740635165498496873087637372657155459
skew: 4467.076
c0: -5467362153925190133648
c1: -96308293609413251852
c2: 9548040299345004
c3: 3876797592887
c4: 782547624
c5: 8280
Y0: 84047156881962169625
Y1: 19477442700133691
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.633e-06
# f(x) = 8280*x^5+782547624*x^4+3876797592887*x^3+9548040299345004*x^2-96308293609413251852*x-5467362153925190133648
# g(x) = 19477442700133691*x+84047156881962169625

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

cado log (extracts)
Info:Square Root: Factors: 10857916302009919741594181875315212866689282636845331 46069926788272664295025085881598174487148965948891089
Info:Square Root: Total cpu/real time for sqrt: 110.49/84.6499
Info:Filtering - Singleton removal: Total cpu/real time for purge: 16.53/27.1515
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4634111
Info:Lattice Sieving: Average J: 1895.7 for 39485 special-q, max bucket fill -bkmult 1.0,1s:1.262010
Info:Lattice Sieving: Total time: 6713.2s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.53/1.42478
Info:Linear Algebra: Total cpu/real time for bwc: 695.78/679
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 299.13, WCT time 305.81, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (6784 iterations)
Info:Linear Algebra: Lingen CPU time 212.79, WCT time 183.49
Info:Linear Algebra: Mksol: CPU time 167.69,  WCT time 174.2, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3456 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.77/45.9336
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.79/29.9601
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 29.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 177.73
Info:Polynomial Selection (root optimized): Rootsieve time: 177.05
Info:Filtering - Merging: Merged matrix has 213743 rows and total weight 31167285 (145.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 29.99/24.0341
Info:Filtering - Merging: Total cpu/real time for replay: 7.23/8.26459
Info:Quadratic Characters: Total cpu/real time for characters: 8.1/6.80454
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9886/29.390/37.007/42.260/1.055
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7485/29.170/32.850/37.510/0.870
Info:Polynomial Selection (size optimized): Total time: 592.93
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 40.11/64.1971
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 55.7s
Info:Square Root: Total cpu/real time for sqrt: 110.49/84.6499
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 11008.7/3060.37
Info:root: Cleaning up computation data in /tmp/cado.di7ygyhp
10857916302009919741594181875315212866689282636845331 46069926788272664295025085881598174487148965948891089

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

29621702728540264278377059553456724553334723956664676534230880398886047471533649267970594109<92>

1419680839556255014154884525506169339<37>
20865043679675935325486659078254238301078294705263931431<56>

prp37 = 1419680839556255014154884525506169339
prp56 = 20865043679675935325486659078254238301078294705263931431

Yafu

10072088653379241648605727331158979633343264024900351083148305354772450194357838414420858070288675572239054372489<113>

536023456858554033104840182668442627556978259977<48>
18790387854308148732739901062920549522332562159410491864650019457<65>

N=10072088653379241648605727331158979633343264024900351083148305354772450194357838414420858070288675572239054372489
  ( 113 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=536023456858554033104840182668442627556978259977 (pp48)
 r2=18790387854308148732739901062920549522332562159410491864650019457 (pp65)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.63 hours.
Scaled time: 66.88 units (timescale=7.746).
Factorization parameters were as follows:
n: 10072088653379241648605727331158979633343264024900351083148305354772450194357838414420858070288675572239054372489
m: 1000000000000000000000000000000
deg: 5
c5: 925
c0: -1
skew: 0.26
# Murphy_E = 1.477e-09
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 314126 x 314352
Total sieving time: 8.56 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 8.63 hours.

GNFS, Msieve

6122127043371276914919810766098194511985569622809437536699494596838234901546463065890988727597225281240349141140241<115>

244662385295769336956995372565303923211<39>
25022755483930695421777275261279465317358400746753796645187540390699003243731<77>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1664644827
Step 1 took 3562ms
Step 2 took 2859ms
********** Factor found in step 2: 244662385295769336956995372565303923211
Found prime factor of 39 digits: 244662385295769336956995372565303923211
Prime cofactor 25022755483930695421777275261279465317358400746753796645187540390699003243731 has 77 digits

GMP-ECM

72338596461472761003748040944687590725816573242026835747264488270028275707692971901318215643717493125685184678469239818615506732326006229<137>

7872833960501548696632664654254767922392063210377<49>
9188380807267062010501064206742000501357977371114930794620593548386686955614812353853677<88>

N=72338596461472761003748040944687590725816573242026835747264488270028275707692971901318215643717493125685184678469239818615506732326006229
  ( 137 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=7872833960501548696632664654254767922392063210377 (pp49)
 r2=9188380807267062010501064206742000501357977371114930794620593548386686955614812353853677 (pp88)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.25 hours.
Scaled time: 72.17 units (timescale=7.800).
Factorization parameters were as follows:
n: 72338596461472761003748040944687590725816573242026835747264488270028275707692971901318215643717493125685184678469239818615506732326006229
m: 5000000000000000000000000000000
deg: 5
c5: 148
c0: -5
skew: 0.51
# Murphy_E = 1.051e-09
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 499154 x 499379
Total sieving time: 9.15 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 9.25 hours.

GNFS, Msieve

37915146623338283375041836214818441297592719565902650183086595587502703456842042124553006233694992408139686287167337<116>

777637942723766544810947961851776927267<39>
48756811544632340415541026280222325804518185850744561777758947508189610942211<77>

N=37915146623338283375041836214818441297592719565902650183086595587502703456842042124553006233694992408139686287167337
  ( 116 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=777637942723766544810947961851776927267 (pp39)
 r2=48756811544632340415541026280222325804518185850744561777758947508189610942211 (pp77)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.64 hours.
Scaled time: 75.61 units (timescale=7.843).
Factorization parameters were as follows:
n: 37915146623338283375041836214818441297592719565902650183086595587502703456842042124553006233694992408139686287167337
m: 5000000000000000000000000000000
deg: 5
c5: 296
c0: -1
skew: 0.32
# Murphy_E = 1.18e-09
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 410279 x 410504
Total sieving time: 9.56 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 9.64 hours.

GNFS, Msieve

24094806836319330597877932148800170547563444474105378678369712986203107439950481932513696420331860013685364406083534915645514387019<131>

217129723590040640652947776808493966078051423995839729952051123<63>
110969638048323463622801316284503777555837051841918466111256111692553<69>

N=24094806836319330597877932148800170547563444474105378678369712986203107439950481932513696420331860013685364406083534915645514387019
  ( 131 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=217129723590040640652947776808493966078051423995839729952051123 (pp63)
 r2=110969638048323463622801316284503777555837051841918466111256111692553 (pp69)
Version: Msieve v. 1.52 (SVN 927)
Total time: 11.49 hours.
Scaled time: 90.43 units (timescale=7.868).
Factorization parameters were as follows:
n: 24094806836319330597877932148800170547563444474105378678369712986203107439950481932513696420331860013685364406083534915645514387019
m: 10000000000000000000000000000000
deg: 5
c5: 185
c0: -2
skew: 0.40
# Murphy_E = 8.963e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 463587 x 463820
Total sieving time: 11.40 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 11.49 hours.

GNFS, Msieve

343393542275942653562970768380446238189197442429356000194069507433218353753322434917007356754721352006463537109328514815455137<126>

761689398460722781018052794317242119331<39>
450831458295070466934399442271241849339063429832569923760550001894623529182834977557227<87>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:646820617
Step 1 took 4859ms
Step 2 took 2922ms
********** Factor found in step 2: 761689398460722781018052794317242119331
Found prime factor of 39 digits: 761689398460722781018052794317242119331
Prime cofactor 450831458295070466934399442271241849339063429832569923760550001894623529182834977557227 has 87 digits
 

GMP-ECM

12247274186679919429844727040806019936055802742472146997490254418208367703181431841715730393484729<98>

37380121663127475236419194790754356675515217<44>
327641367704827025057931949162529560906148853388700137<54>

prp44 = 37380121663127475236419194790754356675515217
prp54 = 327641367704827025057931949162529560906148853388700137

Yafu

209241125220632309332068143299194459953221675405679806212183468304685265906883531776688723280870579187206503461700328075733743<126>

7703185637015083106751358772329526469091867<43>
27162934282044825644464982058464011626963961251171093569592594804622698631038928829<83>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2020984955
Step 1 took 4828ms
Step 2 took 2938ms
********** Factor found in step 2: 7703185637015083106751358772329526469091867
Found prime factor of 43 digits: 7703185637015083106751358772329526469091867
Prime cofactor 27162934282044825644464982058464011626963961251171093569592594804622698631038928829 has 83 digits

GMP-ECM

1815589376539819264696037030191417384060521498981001283519358345896615684645435695785117408680030850379764583853262184926555714314964001<136>

1404212429126748737900037143507378928698412460354456900352040309779<67>
1292959198252430735436324445058856199555480987942138942832531622845819<70>

N=1815589376539819264696037030191417384060521498981001283519358345896615684645435695785117408680030850379764583853262184926555714314964001
  ( 136 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=1404212429126748737900037143507378928698412460354456900352040309779 (pp67)
 r2=1292959198252430735436324445058856199555480987942138942832531622845819 (pp70)
Version: Msieve v. 1.52 (SVN 927)
Total time: 18.27 hours.
Scaled time: 144.07 units (timescale=7.886).
Factorization parameters were as follows:
n: 1815589376539819264696037030191417384060521498981001283519358345896615684645435695785117408680030850379764583853262184926555714314964001
m: 100000000000000000000000000000000
deg: 5
c5: 9250
c0: -1
skew: 0.16
# Murphy_E = 4.594e-10
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 3300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 616950 x 617177
Total sieving time: 18.15 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 18.27 hours.

GNFS, Msieve

1268974046958589573125954812292396535122178319536229583975840193576090429490771793724910385280008592210425918112465767550751263<127>

23514225840876259836422552981565729593851529<44>
53966226893706704995044523033446803477608012625599655540926182767028450944534028647<83>

N=1268974046958589573125954812292396535122178319536229583975840193576090429490771793724910385280008592210425918112465767550751263
  ( 127 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=23514225840876259836422552981565729593851529 (pp44)
 r2=53966226893706704995044523033446803477608012625599655540926182767028450944534028647 (pp83)
Version: Msieve v. 1.52 (SVN 927)
Total time: 19.50 hours.
Scaled time: 151.25 units (timescale=7.758).
Factorization parameters were as follows:
n: 1268974046958589573125954812292396535122178319536229583975840193576090429490771793724910385280008592210425918112465767550751263
m: 500000000000000000000000000000000
deg: 5
c5: 148
c0: -5
skew: 0.51
# Murphy_E = 4.302e-10
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2000000, 3500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 656331 x 656563
Total sieving time: 19.36 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 19.50 hours.

GNFS, Msieve

283938089678817961630492372781592669584322712259446176288566702915613325854662422085335915208191545754081008823210983160298951325924181149920899216145467<153>

27570476294575298511818636376479802288061483<44>
10298628382226568437694479289767522400625586092227194368730164581757885957005587489072745216226215814445721649<110>

Number: n
N=283938089678817961630492372781592669584322712259446176288566702915613325854662422085335915208191545754081008823210983160298951325924181149920899216145467  ( 153 digits)
SNFS difficulty: 167 digits.
Divisors found:

Sun Mar 20 00:05:51 2022  p44 factor: 27570476294575298511818636376479802288061483
Sun Mar 20 00:05:51 2022  p110 factor: 10298628382226568437694479289767522400625586092227194368730164581757885957005587489072745216226215814445721649
Sun Mar 20 00:05:51 2022  elapsed time 00:10:13 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.309).
Factorization parameters were as follows:
#
# N = 185x10^165-2 = 616(165)
#
n: 283938089678817961630492372781592669584322712259446176288566702915613325854662422085335915208191545754081008823210983160298951325924181149920899216145467
m: 1000000000000000000000000000000000
deg: 5
c5: 185
c0: -2
skew: 0.40
# Murphy_E = 3.655e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1914256 hash collisions in 15923347 relations (14963218 unique)
Msieve: matrix is 549257 x 549483 (186.9 MB)

Sieving start time : 2022/03/19 22:27:42
Sieving end time  : 2022/03/19 23:54:56

Total sieving time: 1hrs 27min 14secs.
Total relation processing time: 0hrs 4min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 52sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

135756275585789219428026328173186562205330373514680163931872566457268091123016072144189839950235343648118594030801381922818900324314707732279974199970387231<156>

3827146284201089674757088721969775666702481194899<49>
35471932741689833983360379183027513749964752920198001146899378542994211351332118095289386585536853289980869<107>

Number: n
N=135756275585789219428026328173186562205330373514680163931872566457268091123016072144189839950235343648118594030801381922818900324314707732279974199970387231  ( 156 digits)
SNFS difficulty: 168 digits.
Divisors found:

Sat Mar 19 22:25:56 2022  p49 factor: 3827146284201089674757088721969775666702481194899
Sat Mar 19 22:25:56 2022  p107 factor: 35471932741689833983360379183027513749964752920198001146899378542994211351332118095289386585536853289980869
Sat Mar 19 22:25:56 2022  elapsed time 00:09:19 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 185x10^167-2 = 616(167)
#
n: 135756275585789219428026328173186562205330373514680163931872566457268091123016072144189839950235343648118594030801381922818900324314707732279974199970387231
m: 1000000000000000000000000000000000
deg: 5
c5: 9250
c0: -1
skew: 0.16
# Murphy_E = 2.923e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1884285 hash collisions in 15955076 relations (15037371 unique)
Msieve: matrix is 539317 x 539542 (184.7 MB)

Sieving start time : 2022/03/19 21:24:29
Sieving end time  : 2022/03/19 22:14:25

Total sieving time: 0hrs 49min 56secs.
Total relation processing time: 0hrs 4min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 12sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

95459236326109391124871001031991744066047471620227038183694530443756449948400412796697626418988648090815273477812177502579979360165118679050567595459236326109391124871<167>

12854399405145667594523506304212536566548478552992573296652872131<65>
7426191867657128833320187501897805496432821075432028244581517521544671108813256011757568562509663842541<103>

Number: n
N=95459236326109391124871001031991744066047471620227038183694530443756449948400412796697626418988648090815273477812177502579979360165118679050567595459236326109391124871  ( 167 digits)
SNFS difficulty: 170 digits.
Divisors found:

Mon Mar 21 01:18:31 2022  p65 factor: 12854399405145667594523506304212536566548478552992573296652872131
Mon Mar 21 01:18:31 2022  p103 factor: 7426191867657128833320187501897805496432821075432028244581517521544671108813256011757568562509663842541
Mon Mar 21 01:18:31 2022  elapsed time 00:12:22 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
#
# N = 185x10^168-2 = 616(168)
#
n: 95459236326109391124871001031991744066047471620227038183694530443756449948400412796697626418988648090815273477812177502579979360165118679050567595459236326109391124871
m: 5000000000000000000000000000000000
deg: 5
c5: 148
c0: -5
skew: 0.51
# Murphy_E = 2.732e-10
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1889056 hash collisions in 15871021 relations (14937194 unique)
Msieve: matrix is 560425 x 560653 (192.4 MB)

Sieving start time : 2022/03/21 00:14:59
Sieving end time  : 2022/03/21 01:05:38

Total relation processing time: 0hrs 4min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 32sec.

Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)
Total sieving time: 0hrs 50min 39secs.

91383827124791053213271506687302051633515533034627501697829262534205456754692649894053547504248439803647816794139651549256601591110211646610264436182187955953153<161>

24674743495301575890791992221084199262009003487691326143107<59>
3703537065833808608901266096721611087347639969181648499207632333722138963253381112918415435737524891179<103>

Number: n
N=91383827124791053213271506687302051633515533034627501697829262534205456754692649894053547504248439803647816794139651549256601591110211646610264436182187955953153  ( 161 digits)
SNFS difficulty: 170 digits.
Divisors found:

Mon Mar 21 12:59:33 2022  p59 factor: 24674743495301575890791992221084199262009003487691326143107
Mon Mar 21 12:59:33 2022  p103 factor: 3703537065833808608901266096721611087347639969181648499207632333722138963253381112918415435737524891179
Mon Mar 21 12:59:33 2022  elapsed time 00:08:57 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.299).
Factorization parameters were as follows:
#
# N = 185x10^169-2 = 616(169)
#
n: 91383827124791053213271506687302051633515533034627501697829262534205456754692649894053547504248439803647816794139651549256601591110211646610264436182187955953153
m: 5000000000000000000000000000000000
deg: 5
c5: 296
c0: -1
skew: 0.32
# Murphy_E = 3.062e-10
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1793286 hash collisions in 15910904 relations (15105001 unique)
Msieve: matrix is 551497 x 551722 (190.7 MB)

Sieving start time : 2022/03/21 11:38:47
Sieving end time  : 2022/03/21 12:49:57

Total sieving time: 1hrs 11min 10secs.

Total relation processing time: 0hrs 4min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 31sec.

Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

3535971486820650908623891705661493925708809107653866732540578451360741941917528280853304669263124621552437331385973148225007679564797217490776550277<148>

2123573748822848858225775227444331818357882136238899073<55>
1665104161690042633899735656160367789265007180679970567371608901037719174295546625826072210949<94>

N=3535971486820650908623891705661493925708809107653866732540578451360741941917528280853304669263124621552437331385973148225007679564797217490776550277
  ( 148 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=2123573748822848858225775227444331818357882136238899073 (pp55)
 r2=1665104161690042633899735656160367789265007180679970567371608901037719174295546625826072210949 (pp94)
Version: Msieve v. 1.52 (SVN 927)
Total time: 37.88 hours.
Scaled time: 298.72 units (timescale=7.886).
Factorization parameters were as follows:
n: 3535971486820650908623891705661493925708809107653866732540578451360741941917528280853304669263124621552437331385973148225007679564797217490776550277
m: 10000000000000000000000000000000000
deg: 5
c5: 185
c0: -2
skew: 0.40
# Murphy_E = 2.317e-10
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2600000, 5400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 854649 x 854875
Total sieving time: 37.71 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 37.88 hours.

gnfs, mSIEVE

30762452496715467843346276916504145823631779295396064068304452075781667572225699954087489777162449499276744747096745243359554957113933910219929<143>

8929832948687047376037659098480141<34>
3444907947716812415019453242746453180608659837722326950187675955500200287611472123097447213845751005397582269<109>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2353045580
Step 1 took 5828ms
Step 2 took 3281ms
********** Factor found in step 2: 8929832948687047376037659098480141
Found prime factor of 34 digits: 8929832948687047376037659098480141
Prime cofactor 3444907947716812415019453242746453180608659837722326950187675955500200287611472123097447213845751005397582269 has 109 digits

GMP-ECM

50419326996768578514746593600617834251244338201417342675429597478079320569942172643903432407184927475457637344505020209561817961534897<134>

20671200207210933917846661706420362902576649139577<50>
2439109799690311108825096293371327370648390085227106928944687985489103745112525319161<85>

50419326996768578514746593600617834251244338201417342675429597478079320569942172643903432407184927475457637344505020209561817961534897=20671200207210933917846661706420362902576649139577*2439109799690311108825096293371327370648390085227106928944687985489103745112525319161

cado polynomial
n: 50419326996768578514746593600617834251244338201417342675429597478079320569942172643903432407184927475457637344505020209561817961534897
skew: 0.32
type: snfs
c0: -1
c5: 296
Y0: 50000000000000000000000000000000000
Y1: -1
# f(x) = 296*x^5-1
# g(x) = -x+50000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6000000
tasks.lim1 = 6000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 20671200207210933917846661706420362902576649139577 2439109799690311108825096293371327370648390085227106928944687985489103745112525319161
Info:Square Root: Total cpu/real time for sqrt: 254.14/77.7813
Info:Filtering - Singleton removal: Total cpu/real time for purge: 165.35/151.525
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22430996
Info:Lattice Sieving: Average J: 1893.1 for 649458 special-q, max bucket fill -bkmult 1.0,1s:1.176830
Info:Lattice Sieving: Total time: 108144s
Info:Linear Algebra: Total cpu/real time for bwc: 6814.26/1756.65
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4275.81, WCT time 1096.42, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (21248 iterations)
Info:Linear Algebra: Lingen CPU time 114.42, WCT time 29.12
Info:Linear Algebra: Mksol: CPU time 2322.45,  WCT time 594.31, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10752 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.69/32.2115
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.01/100.199
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 100.1s
Info:Filtering - Merging: Merged matrix has 673146 rows and total weight 114648923 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 150.66/41.814
Info:Filtering - Merging: Total cpu/real time for replay: 22.15/18.5106
Info:Generate Factor Base: Total cpu/real time for makefb: 2.57/1.39061
Info:Quadratic Characters: Total cpu/real time for characters: 21.52/8.49851
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 210.33/181.502
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 164.2s
Info:Square Root: Total cpu/real time for sqrt: 254.14/77.7813
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 208625/56746.3
Info:root: Cleaning up computation data in /tmp/cado.o1boxexc
20671200207210933917846661706420362902576649139577 2439109799690311108825096293371327370648390085227106928944687985489103745112525319161

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)

123214016144207865354979097439592921783295769787868475544915366089828309701731797777169106975173739573868172773059088926665046940321156407<138>

702007219253168345947695729986114347<36>
175516736530557791146304832767139686234064352453180138868788505244741939790470049838084964349162706981<102>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2193596745
Step 1 took 5797ms
Step 2 took 3312ms
********** Factor found in step 2: 702007219253168345947695729986114347
Found prime factor of 36 digits: 702007219253168345947695729986114347
Prime cofactor 175516736530557791146304832767139686234064352453180138868788505244741939790470049838084964349162706981 has 102 digits

GMP-ECM

205499145110873534113985234628750518213509105983349125706119744384392606377379937186171961722444269706577<105>

765761177994173322163284832838123559327313377399691<51>
268359314909585527965280296225854334659491578236272147<54>

205499145110873534113985234628750518213509105983349125706119744384392606377379937186171961722444269706577=765761177994173322163284832838123559327313377399691*268359314909585527965280296225854334659491578236272147

cado polynomial
n: 205499145110873534113985234628750518213509105983349125706119744384392606377379937186171961722444269706577
skew: 4852.373
c0: 59804407444055647504204
c1: -55567784243603511083
c2: -55343433596309498
c3: 3135529255119
c4: -648183486
c5: 50400
Y0: -96594102115474856454
Y1: 229789530578351
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.243e-06
# f(x) = 50400*x^5-648183486*x^4+3135529255119*x^3-55343433596309498*x^2-55567784243603511083*x+59804407444055647504204
# g(x) = 229789530578351*x-96594102115474856454

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

cado log (extracts)
Info:Square Root: Factors: 765761177994173322163284832838123559327313377399691 268359314909585527965280296225854334659491578236272147
Info:Square Root: Total cpu/real time for sqrt: 63.78/18.9224
Info:Filtering - Singleton removal: Total cpu/real time for purge: 38/43.4347
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4976250
Info:Lattice Sieving: Average J: 1897.11 for 53942 special-q, max bucket fill -bkmult 1.0,1s:1.314390
Info:Lattice Sieving: Total time: 6145.27s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.52/1.25807
Info:Linear Algebra: Total cpu/real time for bwc: 557.34/145.43
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 327.03, WCT time 84.12, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6912 iterations)
Info:Linear Algebra: Lingen CPU time 29.4, WCT time 7.5
Info:Linear Algebra: Mksol: CPU time 184.94,  WCT time 47.6, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3456 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.32/38.283
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 18.8/20.0887
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 154.35
Info:Polynomial Selection (root optimized): Rootsieve time: 153.71
Info:Filtering - Merging: Merged matrix has 220422 rows and total weight 32245770 (146.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 28.82/8.84743
Info:Filtering - Merging: Total cpu/real time for replay: 7.04/5.57434
Info:Quadratic Characters: Total cpu/real time for characters: 8.13/3.12
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9607/30.250/36.834/42.360/1.069
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7281/29.440/32.715/37.360/0.861
Info:Polynomial Selection (size optimized): Total time: 500.07
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 60.36/62.6746
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 46.5s
Info:Square Root: Total cpu/real time for sqrt: 63.78/18.9224
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 10520.1/3760.16
Info:root: Cleaning up computation data in /tmp/cado.xbvtoo8t
765761177994173322163284832838123559327313377399691 268359314909585527965280296225854334659491578236272147

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

354980970956556759322991058649309011872091307698436119670627431275329111081870878720882910769812194762088034678428507146358928264027303570380794328111850176426531<162>

202165380097394722724284867410019878443818341891216911435140403283648389<72>
1755893965552074016900429763117356751150822316552830036883271880242863554791409615589734279<91>

Number: n
N=354980970956556759322991058649309011872091307698436119670627431275329111081870878720882910769812194762088034678428507146358928264027303570380794328111850176426531  ( 162 digits)
SNFS difficulty: 180 digits.
Divisors found:

Thu Mar 24 03:26:49 2022  p72 factor: 202165380097394722724284867410019878443818341891216911435140403283648389
Thu Mar 24 03:26:49 2022  p91 factor: 1755893965552074016900429763117356751150822316552830036883271880242863554791409615589734279
Thu Mar 24 03:26:49 2022  elapsed time 00:18:04 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.305).
Factorization parameters were as follows:
#
# N = 185x10^179-2 = 616(179)
#
n: 354980970956556759322991058649309011872091307698436119670627431275329111081870878720882910769812194762088034678428507146358928264027303570380794328111850176426531
m: 500000000000000000000000000000000000
deg: 5
c5: 296
c0: -1
skew: 0.32
# Murphy_E = 1.216e-10
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3087586 hash collisions in 30714694 relations (29587702 unique)
Msieve: matrix is 751466 x 751695 (255.7 MB)

Sieving start time : 2022/03/24 00:37:23
Sieving end time  : 2022/03/24 03:07:47

Total sieving time: 2hrs 30min 24secs.

Total relation processing time: 0hrs 8min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 27sec.

Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

58538208737422136891950597022661185825658591912751790678289743974089483905776306768947750014392037752282697151260801861<119>

4172991273772883164228702013928078637<37>
14027877102291804109823728372451524075944273047094082240301461984836021445200639353<83>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1052105087
Step 1 took 4672ms
Step 2 took 2828ms
********** Factor found in step 2: 4172991273772883164228702013928078637
Found prime factor of 37 digits: 4172991273772883164228702013928078637
Prime cofactor 14027877102291804109823728372451524075944273047094082240301461984836021445200639353 has 83 digits
 

GMP-ECM

4754628341914003314675331872392746133032104252578110749703814499715390278505949986448943504673169276055478055720975419358648572890145517311867674295835273805809351224256047<172>

587334720498905688368594170434884363210946172910938211138632950878852801<72>
8095261825957149512414620438564916811949044404410772060836825057314738072796203511602943280085854447<100>

Number: n
N=4754628341914003314675331872392746133032104252578110749703814499715390278505949986448943504673169276055478055720975419358648572890145517311867674295835273805809351224256047  ( 172 digits)
SNFS difficulty: 182 digits.
Divisors found:

Fri Mar 25 05:36:36 2022  p72 factor: 587334720498905688368594170434884363210946172910938211138632950878852801
Fri Mar 25 05:36:36 2022  p100 factor: 8095261825957149512414620438564916811949044404410772060836825057314738072796203511602943280085854447
Fri Mar 25 05:36:36 2022  elapsed time 00:18:06 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.302).
Factorization parameters were as follows:
#
# N = 185x10^181-2 = 616(181)
#
n: 4754628341914003314675331872392746133032104252578110749703814499715390278505949986448943504673169276055478055720975419358648572890145517311867674295835273805809351224256047
m: 1000000000000000000000000000000000000
deg: 5
c5: 925
c0: -1
skew: 0.26
# Murphy_E = 9.71e-11
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3196445 hash collisions in 30778952 relations (29520744 unique)
Msieve: matrix is 808743 x 808974 (276.0 MB)

Sieving start time : 2022/03/25 02:47:33
Sieving end time  : 2022/03/25 05:17:40

Total sieving time: 2hrs 30min 7secs.

Total relation processing time: 0hrs 9min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 52sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] 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, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

118939152221784009449794821515834628738616077507873336863438995197012781180601612567264319299950210902446432943479631374528324247416288869<138>

58748938147522734027749213156286328541743463<44>
2024532799607703474108980239877227591638104754542837651791033418671751098697152556421545018963<94>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 118939152221784009449794821515834628738616077507873336863438995197012781180601612567264319299950210902446432943479631374528324247416288869 (138 digits)
Using B1=18810000, B2=70271005360, polynomial Dickson(12), sigma=1:1152687802
Step 1 took 29859ms
********** Factor found in step 1: 58748938147522734027749213156286328541743463
Found prime factor of 44 digits: 58748938147522734027749213156286328541743463
Prime cofactor 2024532799607703474108980239877227591638104754542837651791033418671751098697152556421545018963 has 94 digits

12541221452013591259719196856895433116398247263039133602985634727413935816832032682907748331566094436044028296757888416752204173763541097694910313449049<152>

1778327927403361375513869244558958629985627564237644801728131866701770942767<76>
7052254681916708217306846021911923205250673762213580105942526666506866317047<76>

Number: n
N=12541221452013591259719196856895433116398247263039133602985634727413935816832032682907748331566094436044028296757888416752204173763541097694910313449049  ( 152 digits)
SNFS difficulty: 187 digits.
Divisors found:

Tue Apr 19 01:11:17 2022  p76 factor: 1778327927403361375513869244558958629985627564237644801728131866701770942767
Tue Apr 19 01:11:17 2022  p76 factor: 7052254681916708217306846021911923205250673762213580105942526666506866317047
Tue Apr 19 01:11:17 2022  elapsed time 00:24:18 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 185x10^186-2 = 616(186)
#
n: 12541221452013591259719196856895433116398247263039133602985634727413935816832032682907748331566094436044028296757888416752204173763541097694910313449049
m: 10000000000000000000000000000000000000
deg: 5
c5: 925
c0: -1
skew: 0.26
# Murphy_E = 6.071e-11
type: snfs
lss: 1
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 10350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3292413 hash collisions in 30876409 relations (29507215 unique)
Msieve: matrix is 961693 x 961919 (331.7 MB)

Sieving start time : 2022/04/18 22:03:29
Sieving end time  : 2022/04/19 00:46:28

Total sieving time: 2hrs 42min 59secs.
Total relation processing time: 0hrs 14min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 14sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

204113852965092298425599790153599650193362924315945544579702027160855599005572976029837689063858582779734750053418673204011425019114963706380493102153<150>

952356353972780508232355180106563319720585406031899183612711109227<66>
214325081271969040919405635032756758300486769722965271953358014724375431382154694939<84>

Number: n
N=204113852965092298425599790153599650193362924315945544579702027160855599005572976029837689063858582779734750053418673204011425019114963706380493102153  ( 150 digits)
SNFS difficulty: 188 digits.
Divisors found:

Sat Apr 23 06:02:06 2022  p66 factor: 952356353972780508232355180106563319720585406031899183612711109227
Sat Apr 23 06:02:06 2022  p84 factor: 214325081271969040919405635032756758300486769722965271953358014724375431382154694939
Sat Apr 23 06:02:06 2022  elapsed time 00:28:19 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 185x10^187-2 = 616(187)
#
n: 204113852965092298425599790153599650193362924315945544579702027160855599005572976029837689063858582779734750053418673204011425019114963706380493102153
m: 10000000000000000000000000000000000000
deg: 5
c5: 9250
c0: -1
skew: 0.16
# Murphy_E = 4.578e-11
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2920890 hash collisions in 30925867 relations (29283177 unique)
Msieve: matrix is 1076719 x 1076946 (372.9 MB)

Sieving start time : 2022/04/23 01:42:37
Sieving end time  : 2022/04/23 05:33:16

Total sieving time: 3hrs 50min 39secs.

Total relation processing time: 0hrs 19min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 25sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

2803030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303<190>

12363492692533495798985671668021586522792859777<47>
226718320844974197731272532356015328326369745647190425929297376420297455110999595971887390556920773179964839087946905197867471634618004481787039<144>

Number: n
N=2803030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303  ( 190 digits)
SNFS difficulty: 190 digits.
Divisors found:

Fri Apr  1 04:45:43 2022  p47 factor: 12363492692533495798985671668021586522792859777
Fri Apr  1 04:45:43 2022  p144 factor: 226718320844974197731272532356015328326369745647190425929297376420297455110999595971887390556920773179964839087946905197867471634618004481787039
Fri Apr  1 04:45:43 2022  elapsed time 00:29:12 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 185x10^189-2 = 616(189)
#
n: 2803030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303
m: 50000000000000000000000000000000000000
deg: 5
c5: 296
c0: -1
skew: 0.32
# Murphy_E = 4.749e-11
type: snfs
lss: 1
rlim: 10700000
alim: 10700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10700000/10700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3494837 hash collisions in 31072653 relations (29463901 unique)
Msieve: matrix is 1096790 x 1097018 (380.1 MB)

Sieving start time : 2022/04/01 00:46:20
Sieving end time  : 2022/04/01 04:15:47

Total sieving time: 3hrs 29min 27secs.
Total relation processing time: 0hrs 20min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 15sec.

Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10700000,10700000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] 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, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

42824160757485672211979630898953362321453972561942194772021127358336934888812545714265670616258632395208627<107>

30816714139665722653853868569610167515935565012513<50>
1389640717806593432716464951404578361404841477640175997779<58>

42824160757485672211979630898953362321453972561942194772021127358336934888812545714265670616258632395208627=30816714139665722653853868569610167515935565012513*1389640717806593432716464951404578361404841477640175997779

cado polynomial
n: 42824160757485672211979630898953362321453972561942194772021127358336934888812545714265670616258632395208627
skew: 16169.593
c0: 1923456283317574355522784
c1: 1151485871150097493326
c2: -62028059269302143
c3: -7127898652171
c4: -54086376
c5: 5400
Y0: -544081464890501627433
Y1: 106376952363671
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 2.770e-06
# f(x) = 5400*x^5-54086376*x^4-7127898652171*x^3-62028059269302143*x^2+1151485871150097493326*x+1923456283317574355522784
# g(x) = 106376952363671*x-544081464890501627433

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

cado log (extracts)
Info:Square Root: Factors: 1389640717806593432716464951404578361404841477640175997779 30816714139665722653853868569610167515935565012513
Info:Square Root: Total cpu/real time for sqrt: 124.63/36.8187
Info:Filtering - Singleton removal: Total cpu/real time for purge: 37.51/43.0601
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5060637
Info:Lattice Sieving: Average J: 1896.85 for 62128 special-q, max bucket fill -bkmult 1.0,1s:1.313800
Info:Lattice Sieving: Total time: 6694.76s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.5/0.412154
Info:Linear Algebra: Total cpu/real time for bwc: 678.09/176.64
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 402.1, WCT time 103.45, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7424 iterations)
Info:Linear Algebra: Lingen CPU time 32.55, WCT time 8.33
Info:Linear Algebra: Mksol: CPU time 225.58,  WCT time 57.86, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3712 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.51/16.4895
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.17/19.9698
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.599999999999998s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 169
Info:Polynomial Selection (root optimized): Rootsieve time: 168.33
Info:Filtering - Merging: Merged matrix has 237074 rows and total weight 34583805 (145.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 31.2/9.60432
Info:Filtering - Merging: Total cpu/real time for replay: 7.59/6.05134
Info:Quadratic Characters: Total cpu/real time for characters: 8.85/3.39276
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9992/30.590/37.797/44.440/1.100
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7714/29.670/33.510/38.250/0.911
Info:Polynomial Selection (size optimized): Total time: 577.66
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 61.59/60.9614
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 47.199999999999996s
Info:Square Root: Total cpu/real time for sqrt: 124.63/36.8187
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 14153.1/2240.31
Info:root: Cleaning up computation data in /tmp/cado.8n14gfcf
1389640717806593432716464951404578361404841477640175997779 30816714139665722653853868569610167515935565012513

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

1011266459495886621746101209755653643664662161622179852526301592040613598004833591293741387767849910740155979706582512679668842048411282353324846785205243852803640051981063887955699488473<187>

11538336123298562855383890933611620313509824879655148982464009<62>
87644045786974979180760817189032993665174618470267265459506944868365773504484805701458246489008376734743442438191550768764497<125>

Number: n
N=1011266459495886621746101209755653643664662161622179852526301592040613598004833591293741387767849910740155979706582512679668842048411282353324846785205243852803640051981063887955699488473  ( 187 digits)
SNFS difficulty: 193 digits.
Divisors found:

Sun Apr  3 18:17:07 2022  p62 factor: 11538336123298562855383890933611620313509824879655148982464009
Sun Apr  3 18:17:07 2022  p125 factor: 87644045786974979180760817189032993665174618470267265459506944868365773504484805701458246489008376734743442438191550768764497
Sun Apr  3 18:17:07 2022  elapsed time 00:43:07 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 185x10^192-2 = 616(192)
#
n: 1011266459495886621746101209755653643664662161622179852526301592040613598004833591293741387767849910740155979706582512679668842048411282353324846785205243852803640051981063887955699488473
m: 100000000000000000000000000000000000000
deg: 5
c5: 9250
c0: -1
skew: 0.16
# Murphy_E = 2.849e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3767199 hash collisions in 31400971 relations (29472846 unique)
Msieve: matrix is 1351665 x 1351891 (470.6 MB)

Sieving start time : 2022/04/03 12:18:28
Sieving end time  : 2022/04/03 17:33:26

Total sieving time: 5hrs 14min 58secs.

Total relation processing time: 0hrs 32min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 58sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118659] 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)
[    0.154096] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.11 BogoMIPS (lpj=12798228)
[    0.152007] smpboot: Total of 16 processors activated (102385.82 BogoMIPS)

449806998901856237855733607414200935405998395270623957210629837423210186932510920822370879897454228222513162125148058693271786530038528111791779866047787336185415097<165>

4581759144169941538631700026872595627214859754212152280439699<61>
98173427443084401152298607179818857942780136141345325173300530828816473278687099413977971053609004704003<104>

Number: n
N=449806998901856237855733607414200935405998395270623957210629837423210186932510920822370879897454228222513162125148058693271786530038528111791779866047787336185415097  ( 165 digits)
SNFS difficulty: 195 digits.
Divisors found:

Sun Apr 24 16:58:15 2022  p61 factor: 4581759144169941538631700026872595627214859754212152280439699
Sun Apr 24 16:58:15 2022  p104 factor: 98173427443084401152298607179818857942780136141345325173300530828816473278687099413977971053609004704003
Sun Apr 24 16:58:15 2022  elapsed time 00:47:49 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 185x10^193-2 = 616(193)
#
n: 449806998901856237855733607414200935405998395270623957210629837423210186932510920822370879897454228222513162125148058693271786530038528111791779866047787336185415097
m: 500000000000000000000000000000000000000
deg: 5
c5: 148
c0: -5
skew: 0.51
# Murphy_E = 2.636e-11
type: snfs
lss: 1
rlim: 12800000
alim: 12800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12800000/12800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3526871 hash collisions in 30236868 relations (28487509 unique)
Msieve: matrix is 1425304 x 1425529 (495.4 MB)

Sieving start time : 2022/04/24 11:05:59
Sieving end time  : 2022/04/24 16:09:56

Total sieving time: 5hrs 3min 57secs.

Total relation processing time: 0hrs 38min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 39sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12800000,12800000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

24777142910774770356062295568657967719129119397600163478525384439308084787131178206783110965029927015615610283420123450091717829810283711876689<143>

452494961597904968635681829677320481753118439366027901663979<60>
54756726623604216095532636289754985270885010223335553165885803426686303195229197491<83>

24777142910774770356062295568657967719129119397600163478525384439308084787131178206783110965029927015615610283420123450091717829810283711876689=452494961597904968635681829677320481753118439366027901663979*54756726623604216095532636289754985270885010223335553165885803426686303195229197491

cado polynomial
n: 24777142910774770356062295568657967719129119397600163478525384439308084787131178206783110965029927015615610283420123450091717829810283711876689
skew: 0.32
type: snfs
c0: -1
c5: 296
Y0: 500000000000000000000000000000000000000
Y1: -1
# f(x) = 296*x^5-1
# g(x) = -x+500000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12900000
tasks.lim1 = 12900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 54756726623604216095532636289754985270885010223335553165885803426686303195229197491 452494961597904968635681829677320481753118439366027901663979
Info:Square Root: Total cpu/real time for sqrt: 658.15/209.403
Info:Square Root: Total cpu/real time for sqrt: 658.15/209.403
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 115.24/129.584
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 128.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 362.32/420.008
Info:Filtering - Merging: Merged matrix has 2327082 rows and total weight 396423885 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 658.35/180.11
Info:Filtering - Merging: Total cpu/real time for replay: 92.52/80.6882
Info:Quadratic Characters: Total cpu/real time for characters: 82.25/35.5712
Info:Generate Factor Base: Total cpu/real time for makefb: 5.48/2.61348
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27042624
Info:Lattice Sieving: Average J: 1893.73 for 2276575 special-q, max bucket fill -bkmult 1.0,1s:1.147070
Info:Lattice Sieving: Total time: 638655s
Info:Linear Algebra: Total cpu/real time for bwc: 93934.6/24092.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 60186.19, WCT time 15361.73, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (73216 iterations)
Info:Linear Algebra: Lingen CPU time 511.44, WCT time 129.58
Info:Linear Algebra: Mksol: CPU time 32417.26,  WCT time 8320.09, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36864 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.11/31.0645
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 469.41/475.951
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 390.1000000000001s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.32523e+06/151256
Info:root: Cleaning up computation data in /tmp/cado.ks0zp85u
54756726623604216095532636289754985270885010223335553165885803426686303195229197491 452494961597904968635681829677320481753118439366027901663979

cado-nfs-3.0.0

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

109003716667176080783044136644743178850236964729684079690515955369404538811654079952003627482033590737375611054671139624740888805417677911393103664354212706009<159>

710545957450034185596266603307377080531292764674479309936663<60>
153408397478415400455536055813494185057603529748144969958709164299872136743013076279245066046246543<99>

Number: n
N=109003716667176080783044136644743178850236964729684079690515955369404538811654079952003627482033590737375611054671139624740888805417677911393103664354212706009  ( 159 digits)
SNFS difficulty: 197 digits.
Divisors found:

Mon Apr 25 11:34:29 2022  p60 factor: 710545957450034185596266603307377080531292764674479309936663
Mon Apr 25 11:34:29 2022  p99 factor: 153408397478415400455536055813494185057603529748144969958709164299872136743013076279245066046246543
Mon Apr 25 11:34:29 2022  elapsed time 00:57:51 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 185x10^195-2 = 616(195)
#
n: 109003716667176080783044136644743178850236964729684079690515955369404538811654079952003627482033590737375611054671139624740888805417677911393103664354212706009
m: 1000000000000000000000000000000000000000
deg: 5
c5: 185
c0: -2
skew: 0.40
# Murphy_E = 2.219e-11
type: snfs
lss: 1
rlim: 13600000
alim: 13600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13600000/13600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3780431 hash collisions in 30434848 relations (28374235 unique)
Msieve: matrix is 1570282 x 1570507 (548.3 MB)

Sieving start time : 2022/04/25 04:35:19
Sieving end time  : 2022/04/25 10:36:06

Total sieving time: 6hrs 0min 47secs.

Total relation processing time: 0hrs 47min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 1sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13600000,13600000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

6339741069431421960540278776973617701704101504207799356469285938514350977424961621077494922514619235123030784471505833162716781866667355684064601303752658981811071549<166>

54951261741239796473787787526186817434760129781935571<53>
115370254813886759817319227456474643327741804743076819512311497459246941759739925342797194853891544749311176076719<114>

Number: n
N=6339741069431421960540278776973617701704101504207799356469285938514350977424961621077494922514619235123030784471505833162716781866667355684064601303752658981811071549  ( 166 digits)
SNFS difficulty: 198 digits.
Divisors found:

Fri Sep  2 11:10:10 2022  p53 factor: 54951261741239796473787787526186817434760129781935571
Fri Sep  2 11:10:10 2022  p114 factor: 115370254813886759817319227456474643327741804743076819512311497459246941759739925342797194853891544749311176076719
Fri Sep  2 11:10:10 2022  elapsed time 01:15:42 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 185x10^197-2 = 616(197)
#
n: 6339741069431421960540278776973617701704101504207799356469285938514350977424961621077494922514619235123030784471505833162716781866667355684064601303752658981811071549
m: 1000000000000000000000000000000000000000
deg: 5
c5: 9250
c0: -1
skew: 0.16
# Murphy_E = 1.765e-11
type: snfs
lss: 1
rlim: 14500000
alim: 14500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14500000/14500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 20050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3332103 hash collisions in 27793359 relations (26024380 unique)
Msieve: matrix is 1762934 x 1763159 (615.9 MB)

Sieving start time : 2022/09/02 03:42:18
Sieving end time  : 2022/09/02 09:53:56

Total sieving time: 6hrs 11min 38secs.

Total relation processing time: 1hrs 2min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 14sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14500000,14500000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

60359808390402990122699448454281938859359431144588375323076713905241436839410922706415385181439684904329<104>

8255078362847733184786804370827096919<37>
7311839541348802171632461291567107812165019946148863283339228111391<67>

60359808390402990122699448454281938859359431144588375323076713905241436839410922706415385181439684904329=8255078362847733184786804370827096919*7311839541348802171632461291567107812165019946148863283339228111391

cado polynomial
n: 60359808390402990122699448454281938859359431144588375323076713905241436839410922706415385181439684904329
skew: 2082.195
c0: -9723949752549045029520
c1: -8292349763590202822
c2: -13787764626737893
c3: 11201326308649
c4: 2404077270
c5: 221400
Y0: -68918016256347541713
Y1: 323642956485019
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.872e-06
# f(x) = 221400*x^5+2404077270*x^4+11201326308649*x^3-13787764626737893*x^2-8292349763590202822*x-9723949752549045029520
# g(x) = 323642956485019*x-68918016256347541713

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

cado log (extracts)
Info:Square Root: Factors: 7311839541348802171632461291567107812165019946148863283339228111391 8255078362847733184786804370827096919
Info:Square Root: Total cpu/real time for sqrt: 56.08/43.2676
Info:Filtering - Singleton removal: Total cpu/real time for purge: 17.43/30.1151
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4681423
Info:Lattice Sieving: Average J: 1896.28 for 38829 special-q, max bucket fill -bkmult 1.0,1s:1.262950
Info:Lattice Sieving: Total time: 5705.92s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.51/0.414947
Info:Linear Algebra: Total cpu/real time for bwc: 580.71/580.54
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 264.43, WCT time 275.86, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (6400 iterations)
Info:Linear Algebra: Lingen CPU time 153.32, WCT time 133.67
Info:Linear Algebra: Mksol: CPU time 147.85,  WCT time 156.5, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3200 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.17/16.1908
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 18.22/30.4225
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 30.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 187
Info:Polynomial Selection (root optimized): Rootsieve time: 186.29
Info:Filtering - Merging: Merged matrix has 202359 rows and total weight 29592213 (146.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 28.54/22.0427
Info:Filtering - Merging: Total cpu/real time for replay: 6.85/7.55311
Info:Quadratic Characters: Total cpu/real time for characters: 7.57/6.46087
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9717/29.570/36.637/42.420/1.095
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7438/28.950/32.537/37.140/0.865
Info:Polynomial Selection (size optimized): Total time: 599.78
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 41.51/65.5833
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 57.3s
Info:Square Root: Total cpu/real time for sqrt: 56.08/43.2676
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 10512.7/2591.96
Info:root: Cleaning up computation data in /tmp/cado.wfainqng
7311839541348802171632461291567107812165019946148863283339228111391 8255078362847733184786804370827096919

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

77545476467209390593082620442991075756196617687146624816039972477183812857322414097996021705450345663802511979373780508085499023157292734706932036984660752856321012303494261301<176>

773079009843477034523050857980824534519199060297879605997<57>
2879524304344293596378062685138726505093383829894171777787<58>
34834681057914624876524825182385485873785795644843439529684459<62>

Number: n
N=77545476467209390593082620442991075756196617687146624816039972477183812857322414097996021705450345663802511979373780508085499023157292734706932036984660752856321012303494261301  ( 176 digits)
SNFS difficulty: 202 digits.
Divisors found:

Sat Jul 29 23:50:13 2023  prp57 factor: 773079009843477034523050857980824534519199060297879605997
Sat Jul 29 23:50:13 2023  prp58 factor: 2879524304344293596378062685138726505093383829894171777787
Sat Jul 29 23:50:13 2023  prp62 factor: 34834681057914624876524825182385485873785795644843439529684459
Sat Jul 29 23:50:13 2023  elapsed time 02:10:00 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
#
# N = 85x10^201-2 = 616(201)
#
n: 77545476467209390593082620442991075756196617687146624816039972477183812857322414097996021705450345663802511979373780508085499023157292734706932036984660752856321012303494261301
m: 10000000000000000000000000000000000000000
deg: 5
c5: 925
c0: -1
skew: 0.26
# Murphy_E = 1.446e-11
type: snfs
lss: 1
rlim: 16900000
alim: 16900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16900000/16900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 26850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2446213 hash collisions in 17611272 relations (15733022 unique)
Msieve: matrix is 1979432 x 1979657 (560.0 MB)

Sieving start time: 2023/07/29 11:37:34
Sieving end time  : 2023/07/29 21:39:37

Total sieving time: 10hrs 2min 3secs.

Total relation processing time: 1hrs 59min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 33sec.

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

1931454474886320231785379254942318561317994776926343232869204890788342509191591814414747821550624425534248151102273921844065699565822720170398154707737300110841715460544183<172>

86185807873345173786627992431199<32>
22410354123786827394061497797286586154999712870644932019617528847650432445685272509620267102970844025647196724375332897393203507625948226217<140>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:648554679
Step 1 took 7514ms
Step 2 took 3872ms
********** Factor found in step 2: 86185807873345173786627992431199
Found prime factor of 32 digits: 86185807873345173786627992431199
Prime cofactor 22410354123786827394061497797286586154999712870644932019617528847650432445685272509620267102970844025647196724375332897393203507625948226217 has 140 digits

26769266663511425647139438872366450760212601798105876826188533465301831819800148653009715720119026337094413671411715864053531693029412707492913498073255169687084871557<167>

12569096726829413785721466235387711094831029706697590740069590000431324549<74>
2129768530332890547260284702955518326092771878601752026823423199684541787906992738466291886593<94>

Number: n
N=26769266663511425647139438872366450760212601798105876826188533465301831819800148653009715720119026337094413671411715864053531693029412707492913498073255169687084871557  ( 167 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sun Dec 31 11:54:19 2023  prp74 factor: 12569096726829413785721466235387711094831029706697590740069590000431324549
Sun Dec 31 11:54:19 2023  prp94 factor: 2129768530332890547260284702955518326092771878601752026823423199684541787906992738466291886593
Sun Dec 31 11:54:19 2023  elapsed time 02:15:08 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.107).
Factorization parameters were as follows:
#
# N = 185x10^204-2 = 616(204)
#
n: 26769266663511425647139438872366450760212601798105876826188533465301831819800148653009715720119026337094413671411715864053531693029412707492913498073255169687084871557
m: 50000000000000000000000000000000000000000
deg: 5
c5: 296
c0: -1
skew: 0.32
# Murphy_E = 1.122e-11
type: snfs
lss: 1
rlim: 19000000
alim: 19000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19000000/19000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3294460 hash collisions in 20064442 relations (17274324 unique)
Msieve: matrix is 2074853 x 2075078 (586.5 MB)

Sieving start time: 2023/12/30 18:28:31
Sieving end time  : 2023/12/31 09:38:47

Total sieving time: 15hrs 10min 16secs.

Total relation processing time: 2hrs 7min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 24sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,19000000,19000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

4582293463673334702285407513891308249324855447089893851622738925439384305232400068811717<88>

193239554627100577298625085197277508228207<42>
23713020207047704327406127132932345559489393931<47>

prp47 = 23713020207047704327406127132932345559489393931
prp42 = 193239554627100577298625085197277508228207

Yafu

56317189443038591405236553774426000422375726877104914669538889838345266532161564734360402806597280263091207539663327728583059377337727277700162747747897706889008608633024704726368553473830796571669<197>

1034983549927598211813255936978449161096307556765036167300475596948665239793377674807611494505285830778407605632170839801816125417901677139335045066748609071<157>

6090021655698391420773755869149761582903<40>

169947433431401876077934222729661384342588482039488914715397812937353786260570435513135141779051460152280333056301257<117>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2520819342
Step 1 took 7719ms
Step 2 took 3897ms
********** Factor found in step 2: 6090021655698391420773755869149761582903
Found prime factor of 40 digits: 6090021655698391420773755869149761582903
Composite cofactor 169947433431401876077934222729661384342588482039488914715397812937353786260570435513135141779051460152280333056301257 has 117 digits

169947433431401876077934222729661384342588482039488914715397812937353786260570435513135141779051460152280333056301257<117>

38491888150815007725616657797649938468184426550023<50>
4415149310564633740370904249063578913215860116453231473813929341359<67>

169947433431401876077934222729661384342588482039488914715397812937353786260570435513135141779051460152280333056301257=38491888150815007725616657797649938468184426550023*4415149310564633740370904249063578913215860116453231473813929341359

cado polynomial
n: 169947433431401876077934222729661384342588482039488914715397812937353786260570435513135141779051460152280333056301257
skew: 5226.72
c0: -10242160708688046373903020
c1: -1773208718439427349329
c2: 493070240415595212
c3: 14600460863017
c4: 5243040600
c5: -3034080
Y0: -18825800807938293066062
Y1: 55309659023821871
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 9.256e-07
# f(x) = -3034080*x^5+5243040600*x^4+14600460863017*x^3+493070240415595212*x^2-1773208718439427349329*x-10242160708688046373903020
# g(x) = 55309659023821871*x-18825800807938293066062

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: 4415149310564633740370904249063578913215860116453231473813929341359 38491888150815007725616657797649938468184426550023
Info:Square Root: Total cpu/real time for sqrt: 157.09/112.822
Info:Filtering - Singleton removal: Total cpu/real time for purge: 100.21/156.033
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7465594
Info:Lattice Sieving: Average J: 1895.59 for 183739 special-q, max bucket fill -bkmult 1.0,1s:1.285430
Info:Lattice Sieving: Total time: 39550.9s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.24/4.15175
Info:Linear Algebra: Total cpu/real time for bwc: 3176.71/2484.03
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1749.73, WCT time 1371.14, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (14720 iterations)
Info:Linear Algebra: Lingen CPU time 414.25, WCT time 328.69
Info:Linear Algebra: Mksol: CPU time 971.91,  WCT time 749.79, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7424 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 64.43/36.5808
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 30.62/53.9217
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 52.4s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 428.15
Info:Polynomial Selection (root optimized): Rootsieve time: 427
Info:Filtering - Merging: Merged matrix has 469068 rows and total weight 73109270 (155.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 82.03/60.6688
Info:Filtering - Merging: Total cpu/real time for replay: 17.81/19.4644
Info:Quadratic Characters: Total cpu/real time for characters: 17.25/13.4906
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): 21687/34.140/41.513/46.320/1.070
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17247/33.110/36.745/41.910/0.843
Info:Polynomial Selection (size optimized): Total time: 1786.75
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 134.54/218.372
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 171.89999999999998s
Info:Square Root: Total cpu/real time for sqrt: 157.09/112.822
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 43453.2/23838.2
Info:root: Cleaning up computation data in /tmp/cado.8hjsv4dn
4415149310564633740370904249063578913215860116453231473813929341359 38491888150815007725616657797649938468184426550023

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

142069452763826813497365955551459859620021809580856717197315271314257629513584911456173493679829209479488242792855058440461380147137876484049824141055768019782211368627993057795389270300572885468982782718211<207>

484030961060706613431026150883728399218195661<45>

293513151415966186670101564737746980276078005534707005959000878062142040007805397698942301644815557841499128418465838632508631585604227601208465761147169878369551<162>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2219551972
Step 1 took 35453ms
Step 2 took 15848ms
********** Factor found in step 2: 484030961060706613431026150883728399218195661
Found prime factor of 45 digits: 484030961060706613431026150883728399218195661
Composite cofactor 293513151415966186670101564737746980276078005534707005959000878062142040007805397698942301644815557841499128418465838632508631585604227601208465761147169878369551 has 162 digits

1706147850161484588412581595368131371539978271976567673201674053825736825310749469249682287603037496518536143589403069590542960802867066181936228804571369547935376652888369974011218152675332053261324671635707<208>

28464150646851359418693200821905446611071781347828097086545370433296942508386788271205195613643936239231474834281406258217028760619174518304712833656949437009587572789524581807<176>

64727760734738226918808282364993801163006258323226146666329681545369872586126136693726116261875599386169908586721025707825150104333798087873682396430905957414527452208277443917285227808848011046299<197>

4349379613940889387687709446418814826221239627<46>

14882067439519183582955714697807162498450286894564777367797414342776483209161101188414512818808633837739441601157691053329254513494093950546585843396337<152>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:936112678
Step 1 took 25321ms
Step 2 took 10600ms
********** Factor found in step 2: 4349379613940889387687709446418814826221239627
Found prime factor of 46 digits: 4349379613940889387687709446418814826221239627
Composite cofactor 14882067439519183582955714697807162498450286894564777367797414342776483209161101188414512818808633837739441601157691053329254513494093950546585843396337 has 152 digits

200097765253886014624014968922467600215636847705418236613473268120446587415434484694257970290069145459236480118648485421268594318051200313621376297626228016708650406261424751491403<180>

536541853116332318567744950793112762692346583410517887991387370022663077309130030304966337174453421406017777112215430796750603496582597573893969623547945825828971732972780412480951743<183>

22007062253258078482959576002431578834843918728262693138306406372263295440850411604509207010305060923529514848230812077455319435844043085776793525008154211<155>

50605432542252821102918486643410184333301376158949868805339659053884458122360089115857071684105681941874525640052986553638720178758816008672681085745444930839981999039691132510897<179>

300287469712528364865383650033425644391129243995119276262613803938338387081462927851<84>
168523290667767413104009357973514818120010717254388862098634037636041511434111266562066317236947<96>

Number: 61666_219
N = 50605432542252821102918486643410184333301376158949868805339659053884458122360089115857071684105681941874525640052986553638720178758816008672681085745444930839981999039691132510897 (179 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=300287469712528364865383650033425644391129243995119276262613803938338387081462927851 (pp84)
r2=168523290667767413104009357973514818120010717254388862098634037636041511434111266562066317236947 (pp96)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 32.90 hours.
Factorization parameters were as follows:
n: 50605432542252821102918486643410184333301376158949868805339659053884458122360089115857071684105681941874525640052986553638720178758816008672681085745444930839981999039691132510897
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 37
c0: -4
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: 31396781
Relations: 7091794 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 11.86 hours.
Total relation processing time: 0.35 hours.
Pruned matrix : 6182551 x 6182775
Matrix solve time: 19.32 hours.
time per square root: 1.37 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: 32.90 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

259625269709500781800663984547030579242847771380315645575612743910618642996820617472528832494321446283660968549889193975888813545328162241591926866571<150>

5741933388380478250533348019361877347<37>

45215653360745188971050696066921919185363213527113429090523558779684254433959689947837333959052651364977393463993<113>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:426612315
Step 1 took 3265ms
********** Factor found in step 2: 5741933388380478250533348019361877347
Found prime factor of 37 digits: 5741933388380478250533348019361877347
Composite cofactor 45215653360745188971050696066921919185363213527113429090523558779684254433959689947837333959052651364977393463993 has 113 digits

GMP-ECM

45215653360745188971050696066921919185363213527113429090523558779684254433959689947837333959052651364977393463993<113>

9922410146679592226473449817217070114254725502463329<52>
4556922430371015214706894030013004973987578228257332290710617<61>

45215653360745188971050696066921919185363213527113429090523558779684254433959689947837333959052651364977393463993=9922410146679592226473449817217070114254725502463329*4556922430371015214706894030013004973987578228257332290710617

cado polynomial
n: 45215653360745188971050696066921919185363213527113429090523558779684254433959689947837333959052651364977393463993
skew: 14901.689
c0: 12389088885956220818988825
c1: 9953229908701909339756
c2: -482597072927585493
c3: -51560749734688
c4: 1278791640
c5: 63000
Y0: -6847494948053505139168
Y1: 396493796276357
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.376e-06
# f(x) = 63000*x^5+1278791640*x^4-51560749734688*x^3-482597072927585493*x^2+9953229908701909339756*x+12389088885956220818988825
# g(x) = 396493796276357*x-6847494948053505139168

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: 4556922430371015214706894030013004973987578228257332290710617 9922410146679592226473449817217070114254725502463329
Info:Square Root: Total cpu/real time for sqrt: 240.52/71.1573
Info:Filtering - Singleton removal: Total cpu/real time for purge: 65.24/75.7614
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6605077
Info:Lattice Sieving: Average J: 1906.41 for 100237 special-q, max bucket fill -bkmult 1.0,1s:1.248670
Info:Lattice Sieving: Total time: 11974.2s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.08/1.08919
Info:Linear Algebra: Total cpu/real time for bwc: 2310.79/595.57
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1424.87, WCT time 364.22, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13184 iterations)
Info:Linear Algebra: Lingen CPU time 64.68, WCT time 16.48
Info:Linear Algebra: Mksol: CPU time 786.19,  WCT time 200.66, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6656 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 64.2/17.1367
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 26.06/29.2762
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 28.699999999999996s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 374.43
Info:Polynomial Selection (root optimized): Rootsieve time: 373.31
Info:Filtering - Merging: Merged matrix has 418980 rows and total weight 65282749 (155.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 67.24/20.12
Info:Filtering - Merging: Total cpu/real time for replay: 14.47/11.7588
Info:Quadratic Characters: Total cpu/real time for characters: 15.8/6.2181
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): 21712/31.950/40.102/45.350/1.065
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16749/31.340/35.498/40.550/0.820
Info:Polynomial Selection (size optimized): Total time: 1863.81
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 96.59/98.0295
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 75.6s
Info:Square Root: Total cpu/real time for sqrt: 240.52/71.1573
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 27057.4/7465.04
Info:root: Cleaning up computation data in /tmp/cado.6k0zyy23
4556922430371015214706894030013004973987578228257332290710617 9922410146679592226473449817217070114254725502463329

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

280303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303<222>

243162376225777299346838084507964022529<39>

1152740134611810786833806053648759204276039057918760540125581833738198730472736910403425675899764132905971453099228773083825765691175617414913698121902980262855174369185076576723909407<184>

Resuming ECM residue saved by @b60e1fdd0ab2 with GMP-ECM 7.0.5-dev on Mon Apr  4 21:46:30 2022 
Input number is 280303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303 (222 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2489831437
Step 1 took 0ms
Step 2 took 5724ms
********** Factor found in step 2: 243162376225777299346838084507964022529
Found prime factor of 39 digits: 243162376225777299346838084507964022529
Composite cofactor 1152740134611810786833806053648759204276039057918760540125581833738198730472736910403425675899764132905971453099228773083825765691175617414913698121902980262855174369185076576723909407 has 184 digits

1152740134611810786833806053648759204276039057918760540125581833738198730472736910403425675899764132905971453099228773083825765691175617414913698121902980262855174369185076576723909407<184>

7391668191314215053912518133436542114854042360917295419244436211<64>
155951282548961016556534162137676676781386654215289024763454557435383093369024938586346689128713208589543283434244313637<120>

Number: 61666_221
N = 1152740134611810786833806053648759204276039057918760540125581833738198730472736910403425675899764132905971453099228773083825765691175617414913698121902980262855174369185076576723909407 (184 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=7391668191314215053912518133436542114854042360917295419244436211 (pp64)
r2=155951282548961016556534162137676676781386654215289024763454557435383093369024938586346689128713208589543283434244313637 (pp120)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 47.44 hours.
Factorization parameters were as follows:
n: 1152740134611810786833806053648759204276039057918760540125581833738198730472736910403425675899764132905971453099228773083825765691175617414913698121902980262855174369185076576723909407
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 925
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: 30059698
Relations: 8498224 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 15.21 hours.
Total relation processing time: 0.39 hours.
Pruned matrix : 7218835 x 7219060
Matrix solve time: 31.31 hours.
time per square root: 0.53 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 47.44 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

1687071061713689129157596007906002261547775602607992081859663611045598728948269005683408095160679924026781380857762648116442046981275850225944059544403155862101487596463991355662449255336599120235173<199>

19881062019363938745232105812201449063272266517512646003169134358953582992073919862338503221858017<98>
84858196210569647421512902737598978493948098164185623989988782499421846522964839109620979054167296069<101>

Number: 61666_222
N = 1687071061713689129157596007906002261547775602607992081859663611045598728948269005683408095160679924026781380857762648116442046981275850225944059544403155862101487596463991355662449255336599120235173 (199 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=19881062019363938745232105812201449063272266517512646003169134358953582992073919862338503221858017 (pp98)
r2=84858196210569647421512902737598978493948098164185623989988782499421846522964839109620979054167296069 (pp101)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 102.14 hours.
Factorization parameters were as follows:
n: 1687071061713689129157596007906002261547775602607992081859663611045598728948269005683408095160679924026781380857762648116442046981275850225944059544403155862101487596463991355662449255336599120235173
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 9250
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: 31011097
Relations: 10642334 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 20.01 hours.
Total relation processing time: 0.48 hours.
Pruned matrix : 8963755 x 8963980
Matrix solve time: 80.90 hours.
time per square root: 0.74 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: 102.14 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

2597584948048301039033979219320415613591687728166245436675091266498174670036506599269868014602639707947205841055883178882336422353271552934568941308621173827576523448469531030609379387812412243751755124964897500702049985959<223>

21735452059950074781132383840031000442943929833035930343547957915345732776004421337864667039381851030322838783431806254266281142591387891244953378549034682070970939343763402925726549126511453477700361029106744237651<215>

972746050066395593746936542463541726327<39>

22344425925416508609703336996163398670296775940857600660186164991923230418037693625764865351312233212811574734704440427680744108379927341261043820398197287472411979292407390213<176>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1563590777
Step 1 took 36507ms
Step 2 took 14618ms
********** Factor found in step 2: 972746050066395593746936542463541726327
Found prime factor of 39 digits: 972746050066395593746936542463541726327
Composite cofactor 22344425925416508609703336996163398670296775940857600660186164991923230418037693625764865351312233212811574734704440427680744108379927341261043820398197287472411979292407390213 has 176 digits

14705444738112677046029314005826750004202824368558885314751689417758663372630851979390262287711547703070969376657937782331205354521071539283483645465702308405954530954094518776689509<182>

17454181072231888463790015596331881670869<41>

842517026565502051016083785430742427932985144609398644878385483481606369550196535494624142003356757473583993584151306814530001582644875028561<141>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1722816771
Step 1 took 31128ms
Step 2 took 13724ms
********** Factor found in step 2: 17454181072231888463790015596331881670869
Found prime factor of 41 digits: 17454181072231888463790015596331881670869
Composite cofactor 842517026565502051016083785430742427932985144609398644878385483481606369550196535494624142003356757473583993584151306814530001582644875028561 has 141 digits

842517026565502051016083785430742427932985144609398644878385483481606369550196535494624142003356757473583993584151306814530001582644875028561<141>

1035223158641972816035332058570427266874607431842831<52>
813850636485695836876955052579566454819843345651586987594179356379136233944174356772156831<90>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 842517026565502051016083785430742427932985144609398644878385483481606369550196535494624142003356757473583993584151306814530001582644875028561 (141 digits)
Using B1=25710000, B2=96191014936, polynomial Dickson(12), sigma=1:716273136
Step 1 took 50437ms
Step 2 took 16954ms
********** Factor found in step 2: 1035223158641972816035332058570427266874607431842831
Found prime factor of 52 digits: 1035223158641972816035332058570427266874607431842831
Prime cofactor 813850636485695836876955052579566454819843345651586987594179356379136233944174356772156831 has 90 digits

14774587084604558191554989963545605384031653347850416145744298516735076168442132528382192151581932797947046876689565520264177925579778665441077281861640996897052104812583915010353350974531613132122600610269<206>

16914022692914780803390589338940943809<38>

873511130548120644426386122248085931721358050773388646816904200609728513855409569221519011738787209016519394764892200222196305392908617803545020322641999568575605254941<168>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:387869112
Step 1 took 9985ms
Step 2 took 4731ms
********** Factor found in step 2: 16914022692914780803390589338940943809
Found prime factor of 38 digits: 16914022692914780803390589338940943809
Composite cofactor 873511130548120644426386122248085931721358050773388646816904200609728513855409569221519011738787209016519394764892200222196305392908617803545020322641999568575605254941 has 168 digits

873511130548120644426386122248085931721358050773388646816904200609728513855409569221519011738787209016519394764892200222196305392908617803545020322641999568575605254941<168>

48743899669080519743972239026077393233335381220987<50>

17920419508458218446520698072191259860025256239695290247116036728655629645980751654075231089154584551879078089538057543<119>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2498868730
Step 1 took 106291ms
Step 2 took 30170ms
********** Factor found in step 2: 48743899669080519743972239026077393233335381220987
Found probable prime factor of 50 digits: 48743899669080519743972239026077393233335381220987
Composite cofactor 17920419508458218446520698072191259860025256239695290247116036728655629645980751654075231089154584551879078089538057543 has 119 digits

17920419508458218446520698072191259860025256239695290247116036728655629645980751654075231089154584551879078089538057543<119>

90211384800187624971924518749592985009216403828002006947<56>
198649200964498960842544408782319270624992640906153078321030669<63>

08/24/22 20:45:39 v1.34.5 @ 7700KL, nfs: commencing nfs on c119: 17920419508458218446520698072191259860025256239695290247116036728655629645980751654075231089154584551879078089538057543
08/24/22 20:45:39 v1.34.5 @ 7700KL, nfs: commencing poly selection with 4 threads
08/24/22 20:45:39 v1.34.5 @ 7700KL, nfs: setting deadline of 2925 seconds
08/24/22 21:33:41 v1.34.5 @ 7700KL, nfs: completed 91 ranges of size 250 in 2882.0177 seconds
08/24/22 21:33:41 v1.34.5 @ 7700KL, nfs: best poly = # norm 2.993691e-011 alpha -7.928841 e 3.608e-010 rroots 5
08/24/22 21:33:41 v1.34.5 @ 7700KL, nfs: commencing lattice sieving with 4 threads
08/25/22 04:22:25 v1.34.5 @ 7700KL, prp56 = 90211384800187624971924518749592985009216403828002006947
08/25/22 04:22:25 v1.34.5 @ 7700KL, prp63 = 198649200964498960842544408782319270624992640906153078321030669

Yafu v1.34

Windows 10 v21H1 (x64). i7-7700 CPU.

675130658823035208870069578087194064853964578075835923968915955096552547844992184781470731516738446006420969463078246703728687313690324077869073279936104033409504576693<168>

113002027268999297774420165955149605849088422838210393138605497130390827779150752662968029838994676589658013904174323957042384997321510618071317660263402326305789865708850787830282307712168346721429421<201>

15436384444153625495538750718428345743<38>

7320498376923857506361715618372950549902152952642041316980638830212682489545738123584608518598756122990371655596048982205965581448338196615031842999687274802956547<163>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2607201000
Step 1 took 39472ms
Step 2 took 16242ms
********** Factor found in step 2: 15436384444153625495538750718428345743
Found prime factor of 38 digits: 15436384444153625495538750718428345743
Composite cofactor 7320498376923857506361715618372950549902152952642041316980638830212682489545738123584608518598756122990371655596048982205965581448338196615031842999687274802956547 has 163 digits

267109259088571724351713858553621884079526458551398762499355908071913175089735993452351049564226302216493807823007517087809461640184917734867934830129720398881930567688582118491276957<183>

301168524283756902296681062172857221344223866607873326663924938692175958338375100395836255082970316185815609174097520633140447156007745283953625291081960377843957966317727342179199684905037167306920540366696887237006777<219>

6882049255736133665355507992076822051220275464072139942887127406833727936440569829053070297793079121584766997264111277820304849074720283823485913854297639864781042042722469579640949453751311701112803883526537227<211>

27996152222953173439791235395376977098066555551079934160679596424182948692037151137704500848851364395611320105833517283853048538678545645200866979904407822606204639816789290959446512920651880059017<197>

11539838603986655326151795767081759228672116763017853519789691363276745710749210381213347601658598027475736587915744223579303769167580895755222066524812343966787830877144213560312750016605600033034594184648438733016112016039<224>

687204492973017248116231861112266917313<39>

16792437654274419164632452247626760357933578037909046744452611392943301898268421052959760297351739554373716196545869876636310746931009037321840380555470086142304775311420109131912665703<185>

Resuming ECM residue saved by @9598ef913322 with GMP-ECM 7.0.5-dev on Wed Jun 22 10:39:33 2022 
Input number is 11539838603986655326151795767081759228672116763017853519789691363276745710749210381213347601658598027475736587915744223579303769167580895755222066524812343966787830877144213560312750016605600033034594184648438733016112016039 (224 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1374733416
Step 1 took 0ms
Step 2 took 39319ms
********** Factor found in step 2: 687204492973017248116231861112266917313
Found prime factor of 39 digits: 687204492973017248116231861112266917313
Composite cofactor 16792437654274419164632452247626760357933578037909046744452611392943301898268421052959760297351739554373716196545869876636310746931009037321840380555470086142304775311420109131912665703 has 185 digits

6112947168778778449338560874255935691295037844389236612512802450693456193448963886207755921482577285737116222445566997887442365768496219335084292803249649342781275508068922391067<178>

681370758591275863618254034496773609716193<42>

8971543160169080105021395788762058211822687562902771458999974546015228609012930582460473912144354695190971200209996615698700540976253819<136>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1351158403
Step 1 took 57624ms
Step 2 took 500ms
********** Factor found in step 2: 681370758591275863618254034496773609716193
Found prime factor of 42 digits: 681370758591275863618254034496773609716193
Composite cofactor 8971543160169080105021395788762058211822687562902771458999974546015228609012930582460473912144354695190971200209996615698700540976253819 has 136 digits

8971543160169080105021395788762058211822687562902771458999974546015228609012930582460473912144354695190971200209996615698700540976253819<136>

40413532977930876141191505205480675982869076492078318598786937<62>
221993537785184061642363870097453334280300147206049632876219273960030531987<75>

8971543160169080105021395788762058211822687562902771458999974546015228609012930582460473912144354695190971200209996615698700540976253819=40413532977930876141191505205480675982869076492078318598786937*221993537785184061642363870097453334280300147206049632876219273960030531987

cado polynomial, from GNFS polynomial contribution
n: 8971543160169080105021395788762058211822687562902771458999974546015228609012930582460473912144354695190971200209996615698700540976253819
skew: 1304793.81
c0: 39308075986389034273813067203804005
c1: 302119703048115908499551561961
c2: 553565414803119860418199
c3: -157624271502312941
c4: -224397431804
c5: 70980
Y0: -166091313011785586407397914
Y1: 415661625040793
# f(x) = 70980*x^5-224397431804*x^4-157624271502312941*x^3+553565414803119860418199*x^2+302119703048115908499551561961*x+39308075986389034273813067203804005
# g(x) = 415661625040793*x-166091313011785586407397914

cado parameters (extracts), from GNFS polynomial contribution
tasks.lim0 = 14200000
tasks.lim1 = 14200000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 221993537785184061642363870097453334280300147206049632876219273960030531987 40413532977930876141191505205480675982869076492078318598786937
Info:Square Root: Total cpu/real time for sqrt: 1360.39/400.284
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22413442
Info:Lattice Sieving: Average J: 3959.32 for 1108559 special-q, max bucket fill -bkmult 1.0,1s:1.138750
Info:Lattice Sieving: Total time: 454497s
Info:Linear Algebra: Total cpu/real time for bwc: 31969.9/8233.54
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 20346.96, WCT time 5200.37, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (44800 iterations)
Info:Linear Algebra: Lingen CPU time 277.94, WCT time 70.6
Info:Linear Algebra: Mksol: CPU time 11096.98,  WCT time 2868.87, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (22528 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 12.71/4.41305
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 261.12/217.346
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 205.8s
Info:Generate Free Relations: Total cpu/real time for freerel: 257.23/65.0399
Info:Quadratic Characters: Total cpu/real time for characters: 47.14/21.6793
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 103.08/110.975
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 110.9s
Info:Square Root: Total cpu/real time for sqrt: 1360.39/400.284
Info:Filtering - Singleton removal: Total cpu/real time for purge: 119.1/127.47
Info:Filtering - Merging: Merged matrix has 1428944 rows and total weight 243870310 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 397.2/109.304
Info:Filtering - Merging: Total cpu/real time for replay: 51.42/47.0761
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 886546/237374
Info:root: Cleaning up computation data in /tmp/cado.4ekhslrj
221993537785184061642363870097453334280300147206049632876219273960030531987 40413532977930876141191505205480675982869076492078318598786937

cado-nfs-3.0.0

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

4972320925404179873130214547102527325372309628957597132941778799869288853122889505606516242892705777212483194621633391793168476450188967275439007183434580234623987865846030370238797323474515569361357447814112136019858590559008384571<232>

194925994186316418582773384707817630274362867529537662726063841276546523345274815833393865756933354296833767554692598862302317910303992461569075861340563591528933539655649428402175610113620360068560845790842890976289897478831405810273957<237>

170804997696710722321989322444760235693189487<45>
1141219500687187482758850454817321838920507208733535334990653521413193709445388818045200497624173810307041316103185919107315245569246406975817536953997493860697798691191297872890073443612800811<193>

Resuming ECM residue saved by @9598ef913322 with GMP-ECM 7.0.5-dev on Wed Jun 22 11:12:19 2022 
Input number is 194925994186316418582773384707817630274362867529537662726063841276546523345274815833393865756933354296833767554692598862302317910303992461569075861340563591528933539655649428402175610113620360068560845790842890976289897478831405810273957 (237 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1888805932
Step 1 took 1ms
Step 2 took 42676ms
********** Factor found in step 2: 170804997696710722321989322444760235693189487
Found prime factor of 45 digits: 170804997696710722321989322444760235693189487
Prime cofactor 1141219500687187482758850454817321838920507208733535334990653521413193709445388818045200497624173810307041316103185919107315245569246406975817536953997493860697798691191297872890073443612800811 has 193 digits

1860468216106629291434188776713280723768465302354206944399135614200484337739009993335264611838696524957149070643717420283748096151758000960583434875876758549342397<163>

30833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<248>