184343535910120795291530922790223759535588357532612047352826824330665379613615948732386813068951185831691<105>

69430422738741744376097004133301693161<38>
2655083011719274005718894218426887385363309784497970767555461771731<67>

N=184343535910120795291530922790223759535588357532612047352826824330665379613615948732386813068951185831691
  ( 105 digits)
SNFS difficulty: 109 digits.
Divisors found:
p38 factor: 69430422738741744376097004133301693161
p67 factor: 2655083011719274005718894218426887385363309784497970767555461771731
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.16 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 184343535910120795291530922790223759535588357532612047352826824330665379613615948732386813068951185831691
m: 1000000000000000000000000000
deg: 4
c4: 55
c0: -4
skew: 0.52
# Murphy_E = 1.388e-07
type: snfs
lss: 1
rlim: 470000
alim: 470000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 470000/470000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [235000, 395001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 44444 x 44674
Total sieving time: 0.15 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,109.000,4,0,0,0,0,0,0,0,0,470000,470000,25,25,44,44,2.2,2.2,20000
total time: 0.16 hours.
 --------- CPU info (if available) ----------

96342343451819110033737352736882536974647094963799373970889666660998337388606306614487562325103<95>

2482678605162923120935165887936402444122381<43>
38805805653405043568368406958593832730374617887917163<53>

N=96342343451819110033737352736882536974647094963799373970889666660998337388606306614487562325103
  ( 95 digits)
SNFS difficulty: 113 digits.
Divisors found:
p43 factor: 2482678605162923120935165887936402444122381
p53 factor: 38805805653405043568368406958593832730374617887917163
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.21 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 96342343451819110033737352736882536974647094963799373970889666660998337388606306614487562325103
m: 10000000000000000000000000000
deg: 4
c4: 11
c0: -8
skew: 0.92
# Murphy_E = 1.085e-07
type: snfs
lss: 1
rlim: 540000
alim: 540000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 540000/540000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [270000, 470001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 51570 x 51796
Total sieving time: 0.20 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,113.000,4,0,0,0,0,0,0,0,0,540000,540000,25,25,45,45,2.2,2.2,20000
total time: 0.21 hours.
 --------- CPU info (if available) ----------

2696078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549<112>

32128685890590013627912194274574677217459513<44>
83914992370173096753547090258239942454736116396563978960998085513773<68>

N=2696078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549
  ( 112 digits)
SNFS difficulty: 113 digits.
Divisors found:
p44 factor: 32128685890590013627912194274574677217459513
p68 factor: 83914992370173096753547090258239942454736116396563978960998085513773
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.26 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2696078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549
m: 10000000000000000000000000000
deg: 4
c4: 55
c0: -4
skew: 0.52
# Murphy_E = 9.072e-08
type: snfs
lss: 1
rlim: 550000
alim: 550000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [275000, 515001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 56045 x 56272
Total sieving time: 0.24 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,113.000,4,0,0,0,0,0,0,0,0,550000,550000,25,25,45,45,2.2,2.2,20000
total time: 0.26 hours.
 --------- CPU info (if available) ----------

1269621421975992613111726685133887349953831948291782086795937211449676823638042474607571560480147737765466297322253<115>

951094779149635595167655119677452910192375504691<48>
1334905258455049588985676535048214840416636076515127303810834721983<67>

N=1269621421975992613111726685133887349953831948291782086795937211449676823638042474607571560480147737765466297322253
  ( 115 digits)
SNFS difficulty: 117 digits.
Divisors found:
p48 factor: 951094779149635595167655119677452910192375504691
p67 factor: 1334905258455049588985676535048214840416636076515127303810834721983
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.58 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1269621421975992613111726685133887349953831948291782086795937211449676823638042474607571560480147737765466297322253
m: 100000000000000000000000000000
deg: 4
c4: 55
c0: -4
skew: 0.52
# Murphy_E = 5.898e-08
type: snfs
lss: 1
rlim: 640000
alim: 640000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 640000/640000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [320000, 570001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 51761 x 51986
Total sieving time: 0.57 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,117.000,4,0,0,0,0,0,0,0,0,640000,640000,25,25,45,45,2.2,2.2,50000
total time: 0.58 hours.
 --------- CPU info (if available) ----------

458333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<120>

309798582426344396902527651375088876351289<42>
1479455876601060781743519096416574829372000916021826097785029921696004005804797<79>

N=458333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
  ( 120 digits)
SNFS difficulty: 121 digits.
Divisors found:
p42 factor: 309798582426344396902527651375088876351289
p79 factor: 1479455876601060781743519096416574829372000916021826097785029921696004005804797
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.62 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 458333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
m: 1000000000000000000000000000000
deg: 4
c4: 11
c0: -8
skew: 0.92
# Murphy_E = 4.568e-08
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [365000, 615001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 58893 x 59118
Total sieving time: 0.61 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,4,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 0.62 hours.
 --------- CPU info (if available) ----------

144365513126342936149435035432661278219426869044584849881593835218150789669633879321211534311555931<99>

61217715017894202991388184821642504146401199<44>
2358230997092006325079054552579147339027237384454286869<55>

N=144365513126342936149435035432661278219426869044584849881593835218150789669633879321211534311555931
  ( 99 digits)
SNFS difficulty: 123 digits.
Divisors found:
p44 factor: 61217715017894202991388184821642504146401199
p55 factor: 2358230997092006325079054552579147339027237384454286869
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.86 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 144365513126342936149435035432661278219426869044584849881593835218150789669633879321211534311555931
m: 5000000000000000000000000000000
deg: 4
c4: 11
c0: -5
skew: 0.82
# Murphy_E = 2.775e-08
type: snfs
lss: 1
rlim: 810000
alim: 810000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 810000/810000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [405000, 780001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 77430 x 77657
Total sieving time: 0.85 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,123.000,4,0,0,0,0,0,0,0,0,810000,810000,25,25,46,46,2.2,2.2,75000
total time: 0.86 hours.
 --------- CPU info (if available) ----------

667961957478488705395075404991566421908927192663434061390621057352091300568716698359152722716666752915197<105>

154181544875333663841113742251253542418036516925787<51>
4332308111315019477487680177546366777841686817050423431<55>

CADO


STA:Thu 28 Jul 2022 08:33:33 AEST (667961957478488705395075404991566421908927192663434061390621057352091300568716698359152722716666752915197 - C105)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 667961957478488705395075404991566421908927192663434061390621057352091300568716698359152722716666752915197 2>&1 | tee -a log183

Debug:root: Looking for parameter file for c105 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c105
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c105
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.eo5wik_1
Info:Database: Opened connection to database /tmp/cado.eo5wik_1/c105.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 667961957478488705395075404991566421908927192663434061390621057352091300568716698359152722716666752915197
Debug:root: Root parameter dictionary:
N = 667961957478488705395075404991566421908927192663434061390621057352091300568716698359152722716666752915197
lim0 = 823116
lim1 = 1218966
lpb0 = 24
lpb1 = 24
name = c105
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 667961957478488705395075404991566421908927192663434061390621057352091300568716698359152722716666752915197
skew: 2162846.656
c0: 74795826977377268242051065160
c1: 16937729124799149180242
c2: -59478437570347649
c3: 2298384044
c4: 4260
Y0: -19899113058500465940840989
Y1: 616344603989359
# MurphyE (Bf=1.22e+06,Bg=8.23e+05,area=2.56e+12) = 4.12e-09
# f(x) = 4260*x^4+2298384044*x^3-59478437570347649*x^2+16937729124799149180242*x+74795826977377268242051065160
# g(x) = 616344603989359*x-19899113058500465940840989
===
Info:Square Root: finished
Info:Square Root: Factors: 154181544875333663841113742251253542418036516925787 4332308111315019477487680177546366777841686817050423431
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11429.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11579/34.740/39.893/43.680/0.689
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11579/34.740/38.775/40.730/1.015
Info:Polynomial Selection (size optimized): Total time: 234.3
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 75.71
Info:Polynomial Selection (root optimized): Rootsieve time: 75.38
Info:Generate Factor Base: Total cpu/real time for makefb: 0.7/0.148387
Info:Generate Free Relations: Total cpu/real time for freerel: 10.97/1.26632
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2121207
Info:Lattice Sieving: Average J: 1024 for 226303 special-q, max bucket fill: 0.832272
Info:Lattice Sieving: Total CPU time: 16481s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 5.86/9.18604
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 8.499999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 37.75/34.0318
Info:Filtering - Singleton removal: Total cpu/real time for purge: 30.25/29.4677
Info:Filtering - Merging: Total cpu/real time for merge: 104.23/89.3934
Info:Filtering - Merging: Total cpu/real time for replay: 11.37/9.67884
Info:Linear Algebra: Total cpu/real time for bwc: 3043.83/0.000242233
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 117.98
Info:Linear Algebra: Lingen CPU time 1874.39, WCT time 247.45
Info:Linear Algebra: Mksol: WCT time 65.88
Info:Quadratic Characters: Total cpu/real time for characters: 7.76/2.57153
Info:Square Root: Total cpu/real time for sqrt: 184.98/31.2245
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 20228.7/2681.95
Info:root: Cleaning up computation data in /tmp/cado.eo5wik_1
154181544875333663841113742251253542418036516925787 4332308111315019477487680177546366777841686817050423431

END:Thu 28 Jul 2022 09:18:16 AEST (667961957478488705395075404991566421908927192663434061390621057352091300568716698359152722716666752915197 - C105)

189594651896325554252179767259463355102861474462412435060990129703454059779137251041220156441<93>

18539725509050018613931292041683065399<38>
10226400159148874262370957318851768642255565478734042159<56>

prp38 = 18539725509050018613931292041683065399
prp56 = 10226400159148874262370957318851768642255565478734042159

Yafu

23529810347110376120835456941498633403160740771204952569540938414116554164311739074917822650740397311988006621223603837355099<125>

197205216184963691756955172613264685342574317148790801<54>
119316369020590104572852238827491942504919815120898609052211863784425899<72>

Number: n
N=23529810347110376120835456941498633403160740771204952569540938414116554164311739074917822650740397311988006621223603837355099  ( 125 digits)
SNFS difficulty: 133 digits.
Divisors found:

Fri Jul 29 03:39:49 2022  p54 factor: 197205216184963691756955172613264685342574317148790801
Fri Jul 29 03:39:49 2022  p72 factor: 119316369020590104572852238827491942504919815120898609052211863784425899
Fri Jul 29 03:39:49 2022  elapsed time 00:02:50 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.337).
Factorization parameters were as follows:
#
# N = 11x10^133-8 = 36(132)4
#
n: 23529810347110376120835456941498633403160740771204952569540938414116554164311739074917822650740397311988006621223603837355099
m: 1000000000000000000000000000000000
deg: 4
c4: 55
c0: -4
skew: 0.52
# Murphy_E = 1.001e-08
type: snfs
lss: 1
rlim: 1190000
alim: 1190000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1190000/1190000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved  special-q in [100000, 6195000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 392727 hash collisions in 5714064 relations (5956226 unique)
Msieve: matrix is 180925 x 181150 (60.5 MB)

Sieving start time : 2022/07/29 03:29:47
Sieving end time  : 2022/07/29 03:34:48

Total sieving time: 0hrs 5min 1secs.

Total relation processing time: 0hrs 1min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 16sec.

Prototype def-par.txt line would be:
snfs,133,4,0,0,0,0,0,0,0,0,1190000,1190000,26,26,47,47,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

42954801818255194740744004240932401163884667008368109140691047597803296558699750325275819185588462105751<104>

66481502991746493951679954405935271933333<41>
646116587099240549665182684885359494426618992507117034616282747<63>

Info:Square Root: finished
Info:Square Root: Factors: 66481502991746493951679954405935271933333 646116587099240549665182684885359494426618992507117034616282747
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11429.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11398/34.650/39.457/40.330/0.673
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11398/34.020/38.280/40.270/1.029
Info:Polynomial Selection (size optimized): Total time: 231.3
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 81.74
Info:Polynomial Selection (root optimized): Rootsieve time: 81.38
Info:Generate Factor Base: Total cpu/real time for makefb: 1.18/0.138543
Info:Generate Free Relations: Total cpu/real time for freerel: 12.99/0.870962
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 1985556
Info:Lattice Sieving: Average J: 949.494 for 200870 special-q, max bucket fill: 0.809008
Info:Lattice Sieving: Total CPU time: 13688.7s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 5.27/4.70659
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 4.199999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 32.08/17.1148
Info:Filtering - Singleton removal: Total cpu/real time for purge: 25.02/14.4856
Info:Filtering - Merging: Total cpu/real time for merge: 80.1/61.8936
Info:Filtering - Merging: Total cpu/real time for replay: 8.58/6.60537
Info:Linear Algebra: Total cpu/real time for bwc: 1507.56/0.000319958
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 59.96
Info:Linear Algebra: Lingen CPU time 50.55, WCT time 5.2
Info:Linear Algebra: Mksol: WCT time 34.74
Info:Quadratic Characters: Total cpu/real time for characters: 7.76/1.83831
Info:Square Root: Total cpu/real time for sqrt: 134.01/19.8318
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 15816.3/1229.74
Info:root: Cleaning up computation data in /tmp/cado.7xds8mcs
66481502991746493951679954405935271933333 646116587099240549665182684885359494426618992507117034616282747

END:Thu 28 Jul 2022 23:37:00 AEST (42954801818255194740744004240932401163884667008368109140691047597803296558699750325275819185588462105751 - C104)

6880366503295447036140008226090906934204913899116968317232768549559005764195482815128935081413187793<100>

514819485129912059544285506483500014683189<42>
13364619448230911070886755570423908150461605177770601848237<59>

CADO


STA:Thu 28 Jul 2022 06:05:52 AEST (6880366503295447036140008226090906934204913899116968317232768549559005764195482815128935081413187793 - C100)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 6880366503295447036140008226090906934204913899116968317232768549559005764195482815128935081413187793 2>&1 | tee -a log177

Debug:root: Looking for parameter file for c100 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c100
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c100
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.cxmn2l0k
Info:Database: Opened connection to database /tmp/cado.cxmn2l0k/c100.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 6880366503295447036140008226090906934204913899116968317232768549559005764195482815128935081413187793
Debug:root: Root parameter dictionary:
N = 6880366503295447036140008226090906934204913899116968317232768549559005764195482815128935081413187793
lim0 = 919082
lim1 = 1051872
lpb0 = 24
lpb1 = 25
name = c100
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 6880366503295447036140008226090906934204913899116968317232768549559005764195482815128935081413187793
skew: 364835.262
c0: -470184982977080422362207834
c1: -822803480105663956389
c2: 13130483386178387
c3: -12365743234
c4: -33120
Y0: -802855520559631276849459
Y1: 8161995206887
# MurphyE (Bf=1.05e+06,Bg=9.19e+05,area=2.21e+12) = 9.17e-09
# f(x) = -33120*x^4-12365743234*x^3+13130483386178387*x^2-822803480105663956389*x-470184982977080422362207834
# g(x) = 8161995206887*x-802855520559631276849459
===
Info:Square Root: finished
Info:Square Root: Factors: 514819485129912059544285506483500014683189 13364619448230911070886755570423908150461605177770601848237
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 80.83/11.992
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 2890.72
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 2906/32.850/37.984/38.820/0.695
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 2906/32.850/36.686/38.810/0.979
Info:Polynomial Selection (size optimized): Total time: 53.95
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 36.45
Info:Polynomial Selection (root optimized): Rootsieve time: 36.25
Info:Generate Factor Base: Total cpu/real time for makefb: 1/0.116286
Info:Generate Free Relations: Total cpu/real time for freerel: 26/1.71966
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2692631
Info:Lattice Sieving: Average J: 1007.16 for 95039 special-q, max bucket fill: 0.794334
Info:Lattice Sieving: Total CPU time: 7557.01s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 6.31/5.31977
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 5.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 28.08/8.783
Info:Filtering - Singleton removal: Total cpu/real time for purge: 21.27/9.0901
Info:Filtering - Merging: Total cpu/real time for merge: 55.39/43.2089
Info:Filtering - Merging: Total cpu/real time for replay: 5.87/4.56874
Info:Linear Algebra: Total cpu/real time for bwc: 807.03/0.000322104
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 31.9
Info:Linear Algebra: Lingen CPU time 32.29, WCT time 3.43
Info:Linear Algebra: Mksol: WCT time 17.86
Info:Quadratic Characters: Total cpu/real time for characters: 5.53/1.26014
Info:Square Root: Total cpu/real time for sqrt: 80.83/11.992
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 8684.72/724.18
Info:root: Cleaning up computation data in /tmp/cado.cxmn2l0k
514819485129912059544285506483500014683189 13364619448230911070886755570423908150461605177770601848237

END:Thu 28 Jul 2022 06:17:56 AEST (6880366503295447036140008226090906934204913899116968317232768549559005764195482815128935081413187793 - C100)

73858151830454924630999318880734964928327301911907396308325250726849306234366667758278684489<92>

1797287787191912420922981208564667570816890037<46>
41094226732520734640035348407547763859107225797<47>

PRP46 = 1797287787191912420922981208564667570816890037
PRP47 = 41094226732520734640035348407547763859107225797

884591875687381110219823808094823451378167238502826245412584114662511834242417312213<84>

2265901483759183995763854012334884497<37>
390392910736711433772800808651785137301407879429<48>

P37 = 2265901483759183995763854012334884497
P48 = 390392910736711433772800808651785137301407879429

45833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<149>

3317565095821762784628819899621118313353515509051<49>
13815353130842000938613723089258972775848432697524813226946137769125086905570833350144500798510827183<101>

Number: n
N=45833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333  ( 149 digits)
SNFS difficulty: 149 digits.
Divisors found:

Mon Aug  1 19:53:29 2022  p49 factor: 3317565095821762784628819899621118313353515509051
Mon Aug  1 19:53:29 2022  p101 factor: 13815353130842000938613723089258972775848432697524813226946137769125086905570833350144500798510827183
Mon Aug  1 19:53:29 2022  elapsed time 00:03:34 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 11x10^149-8 = 36(148)4
#
n: 45833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
m: 10000000000000000000000000000000000000
deg: 4
c4: 55
c0: -4
skew: 0.52
# Murphy_E = 1.575e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 455367 hash collisions in 5790570 relations (5989385 unique)
Msieve: matrix is 338256 x 338481 (116.2 MB)

Sieving start time : 2022/08/01 19:54:25
Sieving end time  : 2022/08/01 19:49:36

Total sieving time: 0hrs -5min 11secs.

Total relation processing time: 0hrs 1min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 13sec.

Prototype def-par.txt line would be:
snfs,149,4,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

44454086185493762640701264470455699548752875528730030913306872903365458507091020006572803367042365769003526159543697912480405164175907450717901<143>

80591488006485525641889723434382568086490371329<47>
551597783898919462427784878100253023859075582033855342468962589921802311854926910727088463377869<96>

Number: n
N=44454086185493762640701264470455699548752875528730030913306872903365458507091020006572803367042365769003526159543697912480405164175907450717901  ( 143 digits)
SNFS difficulty: 151 digits.
Divisors found:

Mon Aug  1 23:38:24 2022  p47 factor: 80591488006485525641889723434382568086490371329
Mon Aug  1 23:38:24 2022  p96 factor: 551597783898919462427784878100253023859075582033855342468962589921802311854926910727088463377869
Mon Aug  1 23:38:24 2022  elapsed time 00:04:42 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 11x10^151-8 = 36(150)4
#
n: 44454086185493762640701264470455699548752875528730030913306872903365458507091020006572803367042365769003526159543697912480405164175907450717901
m: 1000000000000000000000000000000
deg: 5
c5: 55
c0: -4
skew: 0.59
# Murphy_E = 1.688e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1191347 hash collisions in 14223170 relations (13981512 unique)
Msieve: matrix is 441366 x 441607 (56.8 MB)

Sieving start time : 2022/08/01 23:15:53
Sieving end time  : 2022/08/01 23:33:25

Total sieving time: 0hrs 17min 32secs.

Total relation processing time: 0hrs 1min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 13sec.

Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

73119519894799714509107118381571742343577729628459852492421266077392910585408467939765763119559879815850118705185783460495275678189<131>

7800357205526925025985966673852078314569343027<46>
9373868140678358690048111600559267829096602949490077991063448198306173864574951751007<85>

08/11/22 08:47:49 v1.35-beta @ 7700KL, 
08/11/22 08:47:49 v1.35-beta @ 7700KL, ****************************
08/11/22 08:47:49 v1.35-beta @ 7700KL, Starting factorization of 73119519894799714509107118381571742343577729628459852492421266077392910585408467939765763119559879815850118705185783460495275678189
08/11/22 08:47:49 v1.35-beta @ 7700KL, using pretesting plan: normal
08/11/22 08:47:49 v1.35-beta @ 7700KL, using tune info for qs/gnfs crossover
08/11/22 08:47:49 v1.35-beta @ 7700KL, ****************************
08/11/22 08:47:49 v1.35-beta @ 7700KL, rho: x^2 + 3, starting 2000 iterations on C131
08/11/22 08:47:49 v1.35-beta @ 7700KL, rho: x^2 + 2, starting 2000 iterations on C131
08/11/22 08:47:50 v1.35-beta @ 7700KL, rho: x^2 + 1, starting 2000 iterations on C131
08/11/22 08:47:50 v1.35-beta @ 7700KL, pm1: starting B1 = 150K, B2 = gmp-ecm default on C131
08/11/22 08:47:50 v1.35-beta @ 7700KL, final ECM pretested depth: 0.00
08/11/22 08:47:50 v1.35-beta @ 7700KL, scheduler: switching to sieve method
08/11/22 08:47:50 v1.35-beta @ 7700KL, nfs: commencing nfs on c131: 73119519894799714509107118381571742343577729628459852492421266077392910585408467939765763119559879815850118705185783460495275678189
08/11/22 08:47:50 v1.35-beta @ 7700KL, nfs: commencing poly selection with 6 threads
08/11/22 08:47:50 v1.35-beta @ 7700KL, nfs: setting deadline of 10800 seconds
08/11/22 08:47:50 v1.35-beta @ 7700KL, nfs: expecting degree 5 poly E from 6.28e-011 to > 7.23e-011
08/11/22 12:38:21 v1.35-beta @ 7700KL, nfs: completed 11 ranges of size 250 in 13831.1720 seconds
08/11/22 12:38:21 v1.35-beta @ 7700KL, nfs: best poly = # norm 1.586803e-012 alpha -5.994465 e 7.212e-011 rroots 5
08/11/22 12:38:21 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 12:54:29 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 13:10:44 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 13:26:47 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 13:43:05 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 13:59:26 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 14:15:55 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 14:32:06 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 14:49:07 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 15:05:46 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 15:22:26 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 15:38:51 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 15:55:34 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 16:12:03 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 16:28:40 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 16:45:43 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 17:02:43 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 17:19:21 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 17:36:31 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 17:53:52 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 18:10:45 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 18:27:37 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 18:44:47 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 19:02:20 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 19:19:18 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 19:36:00 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 19:53:25 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 20:10:48 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 20:28:07 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 20:45:57 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 21:03:09 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 21:20:07 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 21:37:21 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 21:54:52 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 22:12:31 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 22:30:38 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 22:48:36 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 23:06:07 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 23:23:41 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 23:41:26 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/11/22 23:58:41 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 00:16:04 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 00:33:06 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 00:50:30 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 01:07:35 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 01:24:32 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 01:42:00 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 01:59:10 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 02:16:44 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 02:34:10 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 02:52:03 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 03:10:01 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 03:27:39 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 03:45:25 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 04:03:30 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 04:21:03 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 04:39:08 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 04:56:33 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 05:14:18 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 05:31:53 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 05:50:01 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 06:08:10 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 06:26:29 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 06:44:44 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 07:03:09 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 07:21:09 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/12/22 07:39:17 v1.35-beta @ 7700KL, nfs: commencing msieve filtering
08/12/22 07:43:46 v1.35-beta @ 7700KL, nfs: commencing msieve linear algebra
08/12/22 08:10:16 v1.35-beta @ 7700KL, nfs: commencing msieve sqrt
08/12/22 08:13:13 v1.35-beta @ 7700KL, prp85 = 9373868140678358690048111600559267829096602949490077991063448198306173864574951751007
08/12/22 08:13:13 v1.35-beta @ 7700KL, prp46 = 7800357205526925025985966673852078314569343027
08/12/22 08:13:13 v1.35-beta @ 7700KL, NFS elapsed time = 84322.6729 seconds.
08/12/22 08:13:13 v1.35-beta @ 7700KL, 
08/12/22 08:13:13 v1.35-beta @ 7700KL, 
08/12/22 08:13:13 v1.35-beta @ 7700KL, Total factoring time = 84323.6908 seconds
 

YAFU 1.35

Windows 10 v21H1, i7-7700, 16GB RAM, 

4583333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<157>

2907524594262939760794239227772635643638457299<46>
1576369583382737532969381230857851623780475809958946354310109138423729666234919147024495076309918234887392915767<112>

Thu Jul 28 22:06:45 2022  Msieve v. 1.53 (SVN unknown)
Thu Jul 28 22:06:45 2022  random seeds: 85cbc348 840b5afb
Thu Jul 28 22:06:45 2022  factoring 4583333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 (157 digits)
Thu Jul 28 22:06:46 2022  searching for 15-digit factors
Thu Jul 28 22:06:46 2022  commencing number field sieve (157-digit input)
Thu Jul 28 22:06:46 2022  R0: -10000000000000000000000000000000
Thu Jul 28 22:06:46 2022  R1: 1
Thu Jul 28 22:06:46 2022  A0: -2
Thu Jul 28 22:06:46 2022  A1: 0
Thu Jul 28 22:06:46 2022  A2: 0
Thu Jul 28 22:06:46 2022  A3: 0
Thu Jul 28 22:06:46 2022  A4: 0
Thu Jul 28 22:06:46 2022  A5: 275
Thu Jul 28 22:06:46 2022  skew 0.37, size 4.471e-11, alpha 0.832, combined = 7.836e-10 rroots = 1
Thu Jul 28 22:06:46 2022  
Thu Jul 28 22:06:46 2022  commencing square root phase
Thu Jul 28 22:06:46 2022  reading relations for dependency 1
Thu Jul 28 22:06:46 2022  read 237500 cycles
Thu Jul 28 22:06:46 2022  cycles contain 803194 unique relations
Thu Jul 28 22:06:53 2022  read 803194 relations
Thu Jul 28 22:06:55 2022  multiplying 803194 relations
Thu Jul 28 22:07:08 2022  multiply complete, coefficients have about 23.00 million bits
Thu Jul 28 22:07:08 2022  initial square root is modulo 4027811
Thu Jul 28 22:07:23 2022  GCD is N, no factor found
Thu Jul 28 22:07:23 2022  reading relations for dependency 2
Thu Jul 28 22:07:23 2022  read 237912 cycles
Thu Jul 28 22:07:23 2022  cycles contain 803556 unique relations
Thu Jul 28 22:07:29 2022  read 803556 relations
Thu Jul 28 22:07:31 2022  multiplying 803556 relations
Thu Jul 28 22:07:44 2022  multiply complete, coefficients have about 23.01 million bits
Thu Jul 28 22:07:44 2022  initial square root is modulo 4053851
Thu Jul 28 22:07:59 2022  sqrtTime: 73
Thu Jul 28 22:07:59 2022  p46 factor: 2907524594262939760794239227772635643638457299
Thu Jul 28 22:07:59 2022  p112 factor: 1576369583382737532969381230857851623780475809958946354310109138423729666234919147024495076309918234887392915767
Thu Jul 28 22:07:59 2022  elapsed time 00:01:14

970476218472211297838146336771289063691368465747164713514290157533681296534340969797906106802078250361023045753922401394402649163<129>

3132026571639464371579842082365307186273<40>
309855678511761141472824823131474122078344300666671140019784140465559178812695907019173931<90>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 970476218472211297838146336771289063691368465747164713514290157533681296534340969797906106802078250361023045753922401394402649163 (129 digits)
Using B1=13600000, B2=46846254010, polynomial Dickson(12), sigma=1:191812478
Step 1 took 20801ms
Step 2 took 10782ms
********** Factor found in step 2: 3132026571639464371579842082365307186273
Found prime factor of 40 digits: 3132026571639464371579842082365307186273
Prime cofactor 309855678511761141472824823131474122078344300666671140019784140465559178812695907019173931 has 90 digits

926859326786393980832233247310011393259188144144635713669575720003337153933638479451911975276345136524052525867156926157360557043497<132>

704155485497614370744701469752463658237681901069<48>
1316270832046985615703281593460956120574396854820001731863370036816892732432327158413<85>

926859326786393980832233247310011393259188144144635713669575720003337153933638479451911975276345136524052525867156926157360557043497=704155485497614370744701469752463658237681901069*1316270832046985615703281593460956120574396854820001731863370036816892732432327158413

cado polynomial
n: 926859326786393980832233247310011393259188144144635713669575720003337153933638479451911975276345136524052525867156926157360557043497
skew: 0.74
type: snfs
c0: -5
c5: 22
Y0: 50000000000000000000000000000000
Y1: -1
# f(x) = 22*x^5-5
# g(x) = -x+50000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3200000
tasks.lim1 = 3200000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1316270832046985615703281593460956120574396854820001731863370036816892732432327158413 704155485497614370744701469752463658237681901069
Info:Square Root: Total cpu/real time for sqrt: 63.05/20.292
Info:Filtering - Singleton removal: Total cpu/real time for purge: 82.74/73.4006
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11649385
Info:Lattice Sieving: Average J: 1893.82 for 286617 special-q, max bucket fill -bkmult 1.0,1s:1.258280
Info:Lattice Sieving: Total time: 33968.8s
Info:Linear Algebra: Total cpu/real time for bwc: 2012/518.37
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1244.23, WCT time 317.45, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11648 iterations)
Info:Linear Algebra: Lingen CPU time 56.0, WCT time 14.3
Info:Linear Algebra: Mksol: CPU time 677.9,  WCT time 172.77, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5888 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 59.23/17.1533
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 43.99/47.9542
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 47.9s
Info:Filtering - Merging: Merged matrix has 370379 rows and total weight 63055468 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 77.14/21.5903
Info:Filtering - Merging: Total cpu/real time for replay: 11.64/9.70577
Info:Generate Factor Base: Total cpu/real time for makefb: 1.37/0.744831
Info:Quadratic Characters: Total cpu/real time for characters: 11.56/4.54892
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 100.19/83.9871
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 76.1s
Info:Square Root: Total cpu/real time for sqrt: 63.05/20.292
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 64551.7/17974.9
Info:root: Cleaning up computation data in /tmp/cado.wgigj2ab
1316270832046985615703281593460956120574396854820001731863370036816892732432327158413 704155485497614370744701469752463658237681901069

cado-nfs-3.0.0

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

85744008306944977834403702885905298698085309719161938109573339365308686195527223611455052162036698166839909745241131119259476591778193853<137>

88477527109568837191534073062574100160256862159338085483073<59>
969104936678002729506891445824698489061111115343871473101816999536609689716861<78>

Number: 36664_160
N = 85744008306944977834403702885905298698085309719161938109573339365308686195527223611455052162036698166839909745241131119259476591778193853 (137 digits)
SNFS difficulty: 162 digits.
Divisors found:
r1=88477527109568837191534073062574100160256862159338085483073 (pp59)
r2=969104936678002729506891445824698489061111115343871473101816999536609689716861 (pp78)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 4.11 hours.
Factorization parameters were as follows:
n: 85744008306944977834403702885905298698085309719161938109573339365308686195527223611455052162036698166839909745241131119259476591778193853
m: 100000000000000000000000000000000
deg: 5
c5: 11
c0: -8
skew: 0.94
# Murphy_E = 7.23e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 8968447
Relations: 882496 relations
Pruned matrix : 519085 x 519311
Total sieving time: 3.85 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.16 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: snfs,162,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 4.11 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 2, speed: 2.99GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

493060276741552041692453898357454363588276374167591338329241097946201036415845996591864783472543713861545135484784273654743905207986771843<138>

7148062318453318182466381675723234908174124700413725521<55>
68978172653682085852687226647958191696745537216105563879551831109441089117120321683<83>

Number: n
N=493060276741552041692453898357454363588276374167591338329241097946201036415845996591864783472543713861545135484784273654743905207986771843  ( 138 digits)
SNFS difficulty: 161 digits.
Divisors found:

Tue Aug  2 19:07:28 2022  p55 factor: 7148062318453318182466381675723234908174124700413725521
Tue Aug  2 19:07:28 2022  p83 factor: 68978172653682085852687226647958191696745537216105563879551831109441089117120321683
Tue Aug  2 19:07:28 2022  elapsed time 00:06:16 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 11x10^161-8 = 36(160)4
#
n: 493060276741552041692453898357454363588276374167591338329241097946201036415845996591864783472543713861545135484784273654743905207986771843
m: 100000000000000000000000000000000
deg: 5
c5: 55
c0: -4
skew: 0.59
# Murphy_E = 6.955e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 981867 hash collisions in 12913162 relations (12800176 unique)
Msieve: matrix is 431092 x 431329 (148.5 MB)

Sieving start time : 2022/08/02 17:47:19
Sieving end time  : 2022/08/02 19:00:37

Total sieving time: 1hrs 13min 18secs.

Total relation processing time: 0hrs 2min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 24sec.

Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

116286716208570331144871391686139477609895485485116561753960800490866644435953148397764987180038418854144622015578400362201073169070663903122804734111<150>

70986491645457478855864545210220873<35>
1638152745868398957991075027724083999348842763338579636648846028008129274512387533572431770427421712076086749156007<115>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 116286716208570331144871391686139477609895485485116561753960800490866644435953148397764987180038418854144622015578400362201073169070663903122804734111 (150 digits)
Using B1=15870000, B2=58558142380, polynomial Dickson(12), sigma=1:3754859382
Step 1 took 29883ms
Step 2 took 14364ms
********** Factor found in step 2: 70986491645457478855864545210220873
Found prime factor of 35 digits: 70986491645457478855864545210220873
Prime cofactor 1638152745868398957991075027724083999348842763338579636648846028008129274512387533572431770427421712076086749156007 has 115 digits

3215838066887194240987604533685704352151203345854247779745425666904271815932143032354336560714938588005805239<109>

41303195458779183507049633823637603757<38>
77859304375048132508300264488513962663331149750049544563812022442893427<71>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1932068626
Step 1 took 3516ms
Step 2 took 2672ms
********** Factor found in step 2: 41303195458779183507049633823637603757
Found prime factor of 38 digits: 41303195458779183507049633823637603757
Prime cofactor 77859304375048132508300264488513962663331149750049544563812022442893427 has 71 digits

GMP-ECM

2465441927271063517373369407075632755694009164203468268554723376867097236114015532980184832321053593011<103>

31508334872239394968094599672247537253467<41>
78247293526236314308401745779487225794304115646050267818365833<62>

N=2465441927271063517373369407075632755694009164203468268554723376867097236114015532980184832321053593011
  ( 103 digits)
Divisors found:
p41 factor: 31508334872239394968094599672247537253467
p62 factor: 78247293526236314308401745779487225794304115646050267818365833
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.27 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2465441927271063517373369407075632755694009164203468268554723376867097236114015532980184832321053593011
skew: 1768147.62
c0: 44208313759968357510270390800
c1: 22147230987766802145194
c2: -49324536112355157
c3: -14190777922
c4: 10920
Y0: -3876305878951020845250601
Y1: 141030202979
rlim: 2220000
alim: 2220000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 2220000/2220000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1110000, 1560001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 224630 x 224858
Total sieving time: 2.19 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,102,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2220000,2220000,26,26,52,52,2.5,2.5,100000
total time: 2.27 hours.
 --------- CPU info (if available) ----------

503663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663<168>

116577639584281982153933551168180778276253864515446260449<57>
4320408317230261694509228786565789428446737395173249197525481654743299237923314531734716008064154753162604085487<112>

Number: n
N=503663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663  ( 168 digits)
SNFS difficulty: 171 digits.
Divisors found:

Fri Jul 29 09:46:25 2022  p57 factor: 116577639584281982153933551168180778276253864515446260449
Fri Jul 29 09:46:25 2022  p112 factor: 4320408317230261694509228786565789428446737395173249197525481654743299237923314531734716008064154753162604085487
Fri Jul 29 09:46:25 2022  elapsed time 00:11:18 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 11x10^170-8 = 36(169)4
#
n: 503663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663
m: 10000000000000000000000000000000000
deg: 5
c5: 11
c0: -8
skew: 0.94
# Murphy_E = 2.925e-10
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1016272 hash collisions in 11758130 relations (11493077 unique)
Msieve: matrix is 676725 x 676950 (235.5 MB)

Sieving start time : 2022/07/29 09:00:52
Sieving end time  : 2022/07/29 09:34:52

Total sieving time: 0hrs 34min 0secs.

Total relation processing time: 0hrs 7min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 24sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

3136221000897442708340791186721637554157987609111273535880724899443775704401041990374320872310085838482540782551236242168801056822942219052093598636985826353<157>

7831801378273741515165636623847617551551470330518515870126224748331003<70>
400446953314936806942717825355290158658601984155356633482240583310827752213548266848451<87>

Number: n
N=3136221000897442708340791186721637554157987609111273535880724899443775704401041990374320872310085838482540782551236242168801056822942219052093598636985826353  ( 157 digits)
SNFS difficulty: 171 digits.
Divisors found:

Fri Jul 29 17:56:49 2022  p70 factor: 7831801378273741515165636623847617551551470330518515870126224748331003
Fri Jul 29 17:56:49 2022  p87 factor: 400446953314936806942717825355290158658601984155356633482240583310827752213548266848451
Fri Jul 29 17:56:49 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 = 11x10^171-8 = 36(170)4
#
n: 3136221000897442708340791186721637554157987609111273535880724899443775704401041990374320872310085838482540782551236242168801056822942219052093598636985826353
m: 10000000000000000000000000000000000
deg: 5
c5: 55
c0: -4
skew: 0.59
# Murphy_E = 2.811e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 951434 hash collisions in 10858088 relations (10595293 unique)
Msieve: matrix is 750840 x 751065 (262.4 MB)

Sieving start time : 2022/07/29 16:39:27
Sieving end time  : 2022/07/29 17:43:55

Total sieving time: 1hrs 4min 28secs.

Total relation processing time: 0hrs 8min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 53sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

2462133212183084084195199364466170497514718201075439082936635267226262360588440034904272392335190610920996606023370335430564975174642891<136>

44050242961460260475438000565414305293582767643<47>
55893748743615661821104176070247417594237427533707163493014741339677521691451830319230737<89>

Number: n
N=2462133212183084084195199364466170497514718201075439082936635267226262360588440034904272392335190610920996606023370335430564975174642891  ( 136 digits)
SNFS difficulty: 172 digits.
Divisors found:

Thu Aug  4 17:29:01 2022  p47 factor: 44050242961460260475438000565414305293582767643
Thu Aug  4 17:29:01 2022  p89 factor: 55893748743615661821104176070247417594237427533707163493014741339677521691451830319230737
Thu Aug  4 17:29:01 2022  elapsed time 00:15:32 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 11x10^172-8 = 36(171)4
#
n: 2462133212183084084195199364466170497514718201075439082936635267226262360588440034904272392335190610920996606023370335430564975174642891
m: 10000000000000000000000000000000000
deg: 5
c5: 275
c0: -2
skew: 0.37
# Murphy_E = 2.025e-10
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 22600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1167940 hash collisions in 12701240 relations (12339312 unique)
Msieve: matrix is 829961 x 830186 (286.4 MB)

Sieving start time : 2022/08/04 14:35:06
Sieving end time  : 2022/08/04 17:12:54

Total sieving time: 2hrs 37min 48secs.

Total relation processing time: 0hrs 10min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 53sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

3773434053406390547989938474421083784008219735220046124599793922497292501120667844275475578425378052841155070966427169534070135439<130>

177187236212247909922099072501492436967005312548398053<54>
21296308549484306924375551183738024719372698665673571504707079921812387857763<77>

Number: n
N=3773434053406390547989938474421083784008219735220046124599793922497292501120667844275475578425378052841155070966427169534070135439  ( 130 digits)
SNFS difficulty: 173 digits.
Divisors found:

Thu Aug  4 14:31:35 2022  p54 factor: 177187236212247909922099072501492436967005312548398053
Thu Aug  4 14:31:35 2022  p77 factor: 21296308549484306924375551183738024719372698665673571504707079921812387857763
Thu Aug  4 14:31:35 2022  elapsed time 00:12:47 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 11x10^173-8 = 36(172)4
#
n: 3773434053406390547989938474421083784008219735220046124599793922497292501120667844275475578425378052841155070966427169534070135439
m: 10000000000000000000000000000000000
deg: 5
c5: 1375
c0: -1
skew: 0.24
# Murphy_E = 2.175e-10
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1274559 hash collisions in 13060919 relations (12600330 unique)
Msieve: matrix is 754275 x 754501 (261.6 MB)

Sieving start time : 2022/08/04 13:01:17
Sieving end time  : 2022/08/04 14:18:33

Total sieving time: 1hrs 17min 16secs.

Total relation processing time: 0hrs 8min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 53sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

79612935005417469523957679370443953957696458060725946814655741921856142016573144436394136064869036237943214961552379066827153670752279029<137>

1905991329397512171343868920547405197161094617462579827<55>
41769830626975246567222505646090016931399184820268657559372479123118300108677083127<83>

79612935005417469523957679370443953957696458060725946814655741921856142016573144436394136064869036237943214961552379066827153670752279029=1905991329397512171343868920547405197161094617462579827*41769830626975246567222505646090016931399184820268657559372479123118300108677083127

cado polynomial
n: 79612935005417469523957679370443953957696458060725946814655741921856142016573144436394136064869036237943214961552379066827153670752279029
skew: 0.94
type: snfs
c0: -8
c5: 11
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 11*x^5-8
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6000000
tasks.lim1 = 6000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 41769830626975246567222505646090016931399184820268657559372479123118300108677083127 1905991329397512171343868920547405197161094617462579827
Info:Square Root: Total cpu/real time for sqrt: 148.72/48.0378
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22443213
Info:Lattice Sieving: Average J: 1892.65 for 542943 special-q, max bucket fill -bkmult 1.0,1s:1.254280
Info:Lattice Sieving: Total time: 90952.4s
Info:Generate Free Relations: Total cpu/real time for freerel: 120.71/32.4535
Info:Linear Algebra: Total cpu/real time for bwc: 7818.87/2011.42
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4906.15, WCT time 1255.0, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (22784 iterations)
Info:Linear Algebra: Lingen CPU time 127.34, WCT time 32.32
Info:Linear Algebra: Mksol: CPU time 2675.13,  WCT time 683.43, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11520 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 214.81/175.721
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 162.7s
Info:Square Root: Total cpu/real time for sqrt: 148.72/48.0378
Info:Quadratic Characters: Total cpu/real time for characters: 23.96/9.57562
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.27/95.4933
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 95.4s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.58/1.50609
Info:Filtering - Singleton removal: Total cpu/real time for purge: 149.53/140.669
Info:Filtering - Merging: Merged matrix has 724075 rows and total weight 123180004 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 164.31/45.6139
Info:Filtering - Merging: Total cpu/real time for replay: 24.48/20.5919
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 177027/48295.5
Info:root: Cleaning up computation data in /tmp/cado.ekafkfhh
41769830626975246567222505646090016931399184820268657559372479123118300108677083127 1905991329397512171343868920547405197161094617462579827

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)

322982175313500011759017590750158064481672801271482026898022740400746187293430833332039642911123077831687668328928609304145833003876833505594525884055435423138009468187<168>

28768921070045056613836368625827805699587607<44>
11226774008212542651948030731081400191257377067576876667135909339017468247151625769703096045287792898874829680202534584790941<125>

Number: n
N=322982175313500011759017590750158064481672801271482026898022740400746187293430833332039642911123077831687668328928609304145833003876833505594525884055435423138009468187  ( 168 digits)
SNFS difficulty: 177 digits.
Divisors found:

Sun Jul 31 15:57:55 2022  p44 factor: 28768921070045056613836368625827805699587607
Sun Jul 31 15:57:55 2022  p125 factor: 11226774008212542651948030731081400191257377067576876667135909339017468247151625769703096045287792898874829680202534584790941
Sun Jul 31 15:57:55 2022  elapsed time 00:27:34 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 11x10^177-8 = 36(176)4
#
n: 322982175313500011759017590750158064481672801271482026898022740400746187293430833332039642911123077831687668328928609304145833003876833505594525884055435423138009468187
m: 100000000000000000000000000000000000
deg: 5
c5: 275
c0: -2
skew: 0.37
# Murphy_E = 1.278e-10
type: snfs
lss: 1
rlim: 6300000
alim: 6300000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6300000/6300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1155885 hash collisions in 11757294 relations (11322876 unique)
Msieve: matrix is 1156707 x 1156934 (401.2 MB)

Sieving start time : 2022/07/31 14:14:39
Sieving end time  : 2022/07/31 15:30:06

Total sieving time: 1hrs 15min 27secs.

Total relation processing time: 0hrs 22min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 32sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6300000,6300000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

674841985948065538937514359411483293331338411710747716422858468035384855806128354956262305385830449404290249922950140980204442659<129>

2025533126352382257500611340695518553795553<43>
333167587914661037334282878977421829879840468741947784729926299425628361967628323152003<87>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 674841985948065538937514359411483293331338411710747716422858468035384855806128354956262305385830449404290249922950140980204442659 (129 digits)
Using B1=28980000, B2=144287903776, polynomial Dickson(12), sigma=1:3784684077
Step 1 took 45289ms
Step 2 took 19279ms
********** Factor found in step 2: 2025533126352382257500611340695518553795553
Found prime factor of 43 digits: 2025533126352382257500611340695518553795553
Prime cofactor 333167587914661037334282878977421829879840468741947784729926299425628361967628323152003 has 87 digits

44432761627502767617160033990992877743745849373356922285116407372421625151917487197666091302825488677497314823372326696779668373908712362513690579224502970353<158>

69102065946733284719190236976236664224417143483903<50>
643001927927210862799247344785429752915081800846042693212860340897849952491989592852061762628791748131867151<108>

Number: n
N=44432761627502767617160033990992877743745849373356922285116407372421625151917487197666091302825488677497314823372326696779668373908712362513690579224502970353  ( 158 digits)
SNFS difficulty: 179 digits.
Divisors found:

Mon Aug  1 00:06:47 2022  p50 factor: 69102065946733284719190236976236664224417143483903
Mon Aug  1 00:06:47 2022  p108 factor: 643001927927210862799247344785429752915081800846042693212860340897849952491989592852061762628791748131867151
Mon Aug  1 00:06:47 2022  elapsed time 00:38:54 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 11x10^179-8 = 36(178)4
#
n: 44432761627502767617160033990992877743745849373356922285116407372421625151917487197666091302825488677497314823372326696779668373908712362513690579224502970353
m: 500000000000000000000000000000000000
deg: 5
c5: 22
c0: -5
skew: 0.74
# Murphy_E = 1.022e-10
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 37900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1261174 hash collisions in 12558866 relations (12066843 unique)
Msieve: matrix is 1347341 x 1347566 (465.8 MB)

Sieving start time : 2022/07/31 19:20:25
Sieving end time  : 2022/07/31 23:27:12

Total sieving time: 4hrs 6min 47secs.

Total relation processing time: 0hrs 32min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 6sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,7000000,7000000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

21598818950784806860210008435900832742967594689135999866926301902747533991466405632889799328941450961394162427565108740199777382521365129917207983929706672290647<161>

255322452619962030638393911019762210474401<42>
11138155715630066205903558620749599186888887<44>
7594998829437338825822173376611348407058257822924247885709396788705390502081<76>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 21598818950784806860210008435900832742967594689135999866926301902747533991466405632889799328941450961394162427565108740199777382521365129917207983929706672290647 (161 digits)
Using B1=19300000, B2=70271655100, polynomial Dickson(12), sigma=1:1900169837
Step 1 took 44938ms
********** Factor found in step 1: 11138155715630066205903558620749599186888887
Found prime factor of 44 digits: 11138155715630066205903558620749599186888887
Composite cofactor 1939173728777682026357915565655078579761269537490253454398044847044998965289226185879862073375888329983756118587728481 has 118 digits

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1939173728777682026357915565655078579761269537490253454398044847044998965289226185879862073375888329983756118587728481 (118 digits)
Using B1=26560000, B2=144285831706, polynomial Dickson(12), sigma=1:656440062
Step 1 took 40660ms
Step 2 took 18269ms
********** Factor found in step 2: 255322452619962030638393911019762210474401
Found prime factor of 42 digits: 255322452619962030638393911019762210474401
Prime cofactor 7594998829437338825822173376611348407058257822924247885709396788705390502081 has 76 digits

23577127023873129361022363029418994750961120632647959084468380010363767922609412394591052813642573<98>

3685164864307060020732632101097258435857<40>
6397848642331081832507111112512349675505668047603395940989<58>

prp58 = 6397848642331081832507111112512349675505668047603395940989
prp40 = 3685164864307060020732632101097258435857

Yafu

13135549186533317076919046354580623005767675366934514646520380375491192848269490901474714972578221643020138384412888062749485546189838324263615831395684757190817862982718659<173>

14678644591620137387353779871681831832914459<44>
139268700906044233010871420116636992364834037169<48>
6425527036085751555340514859773252598099816768515433557069304713932420014903821129<82>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 13135549186533317076919046354580623005767675366934514646520380375491192848269490901474714972578221643020138384412888062749485546189838324263615831395684757190817862982718659 (173 digits)
Using B1=17620000, B2=58560416470, polynomial Dickson(12), sigma=1:1394305056
Step 1 took 40683ms
Step 2 took 16368ms
********** Factor found in step 2: 14678644591620137387353779871681831832914459
Found prime factor of 44 digits: 14678644591620137387353779871681831832914459
Composite cofactor 894874802952327422736184255918454533079071620794749912847211677204793200306788925927955865866895316629017481664144179737713543801 has 129 digits



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 894874802952327422736184255918454533079071620794749912847211677204793200306788925927955865866895316629017481664144179737713543801 (129 digits)
Using B1=25760000, B2=96191014936, polynomial Dickson(12), sigma=1:2115047562
Step 1 took 39101ms
Step 2 took 14940ms
********** Factor found in step 2: 139268700906044233010871420116636992364834037169
Found prime factor of 48 digits: 139268700906044233010871420116636992364834037169
Prime cofactor 6425527036085751555340514859773252598099816768515433557069304713932420014903821129 has 82 digits

1342883132751216284803875683190838498116616173325878187017426540185059312004626163728764585696094713393796506593589727123527045294095548994737102507<148>

233281739435344565984391288223295113347581849<45>
5756486281359387770383392330078040553767283651646002239441554599814632677344095130998740411355872867043<103>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1342883132751216284803875683190838498116616173325878187017426540185059312004626163728764585696094713393796506593589727123527045294095548994737102507 (148 digits)
Using B1=13070000, B2=46845604270, polynomial Dickson(12), sigma=1:3393697909
Step 1 took 25216ms
Step 2 took 12602ms
********** Factor found in step 2: 233281739435344565984391288223295113347581849
Found prime factor of 45 digits: 233281739435344565984391288223295113347581849
Prime cofactor 5756486281359387770383392330078040553767283651646002239441554599814632677344095130998740411355872867043 has 103 digits

538636843916410269644562339089152672759176914535620987008359056465114162814560679429007089453140182335308764289385219543238802067202657716753270728988998237179925364599<168>

348856471813627976722034550440530918326438455394150632773397876453828180966181031<81>
1544007027062321444429339815040290665594687803652468317720087825322104397497749217303729<88>

Number: n
N=538636843916410269644562339089152672759176914535620987008359056465114162814560679429007089453140182335308764289385219543238802067202657716753270728988998237179925364599  ( 168 digits)
SNFS difficulty: 187 digits.
Divisors found:

Fri Aug 12 20:03:25 2022  p81 factor: 348856471813627976722034550440530918326438455394150632773397876453828180966181031
Fri Aug 12 20:03:25 2022  p88 factor: 1544007027062321444429339815040290665594687803652468317720087825322104397497749217303729
Fri Aug 12 20:03:25 2022  elapsed time 00:27:59 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 11x10^187-8 = 36(186)4
#
n: 538636843916410269644562339089152672759176914535620987008359056465114162814560679429007089453140182335308764289385219543238802067202657716753270728988998237179925364599
m: 10000000000000000000000000000000000000
deg: 5
c5: 275
c0: -2
skew: 0.37
# Murphy_E = 5.02e-11
type: snfs
lss: 1
rlim: 9300000
alim: 9300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3171988 hash collisions in 28937246 relations (27500849 unique)
Msieve: matrix is 1080434 x 1080661 (371.6 MB)

Sieving start time : 2022/08/12 16:18:36
Sieving end time  : 2022/08/12 19:34:57

Total sieving time: 3hrs 16min 21secs.

Total relation processing time: 0hrs 19min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 20sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9300000,9300000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

503663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663<186>

12427401121333425043983859932941100651978131959803529<53>
40528425754150119933510183367889969257622487582901547028544984427754572812816520774827929957906085863966273253828366158936350317708247<134>

Number: n
N=503663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663  ( 186 digits)
SNFS difficulty: 188 digits.
Divisors found:

Thu Aug  4 12:49:31 2022  p53 factor: 12427401121333425043983859932941100651978131959803529
Thu Aug  4 12:49:31 2022  p134 factor: 40528425754150119933510183367889969257622487582901547028544984427754572812816520774827929957906085863966273253828366158936350317708247
Thu Aug  4 12:49:31 2022  elapsed time 00:36:52 (Msieve 1.54 - dependency 9)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 11x10^188-8 = 36(187)4
#
n: 503663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663003663
m: 10000000000000000000000000000000000000
deg: 5
c5: 1375
c0: -1
skew: 0.24
# Murphy_E = 5.384e-11
type: snfs
lss: 1
rlim: 9600000
alim: 9600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9600000/9600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2944903 hash collisions in 28602038 relations (27416866 unique)
Msieve: matrix is 1038592 x 1038820 (358.5 MB)

Sieving start time : 2022/08/04 08:36:51
Sieving end time  : 2022/08/04 12:11:49

Total sieving time: 3hrs 34min 58secs.

Total relation processing time: 0hrs 17min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 12min 0sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9600000,9600000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

6112781970293296412356514631167054715922361859519318999490472106579704422148603252246435985990759233828800114569146893624500206047341478143818133016774422312644227388011540799<175>

565455495933336362928288884332800887978010957190383480063310859<63>
10810367949830581995042945532248600567172386206078155041840589212578972917431989469787137605518586274507669957661<113>

Number: n
N=6112781970293296412356514631167054715922361859519318999490472106579704422148603252246435985990759233828800114569146893624500206047341478143818133016774422312644227388011540799  ( 175 digits)
SNFS difficulty: 191 digits.
Divisors found:

Fri Aug 12 01:30:01 2022  p63 factor: 565455495933336362928288884332800887978010957190383480063310859
Fri Aug 12 01:30:01 2022  p113 factor: 10810367949830581995042945532248600567172386206078155041840589212578972917431989469787137605518586274507669957661
Fri Aug 12 01:30:01 2022  elapsed time 00:30:19 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 11x10^190-8 = 36(189)4
#
n: 6112781970293296412356514631167054715922361859519318999490472106579704422148603252246435985990759233828800114569146893624500206047341478143818133016774422312644227388011540799
m: 100000000000000000000000000000000000000
deg: 5
c5: 11
c0: -8
skew: 0.94
# Murphy_E = 4.531e-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, 10950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3051619 hash collisions in 28530594 relations (27202032 unique)
Msieve: matrix is 1139058 x 1139284 (394.8 MB)

Sieving start time : 2022/08/11 21:45:04
Sieving end time  : 2022/08/12 00:59:14

Total sieving time: 3hrs 14min 10secs.

Total relation processing time: 0hrs 21min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 10sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10700000,10700000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

45833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<191>

2774136003651925516214337957074905346056458347756390571950350636267<67>
16521660536108344959038709735245621098034167272578227419117973926980062583198104275058984767744513895297661157749343406468799<125>

Number: n
N=45833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333  ( 191 digits)
SNFS difficulty: 191 digits.
Divisors found:

Mon Aug  8 19:44:29 2022  p67 factor: 2774136003651925516214337957074905346056458347756390571950350636267
Mon Aug  8 19:44:29 2022  p125 factor: 16521660536108344959038709735245621098034167272578227419117973926980062583198104275058984767744513895297661157749343406468799
Mon Aug  8 19:44:29 2022  elapsed time 00:19:50 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 11x10^191-8 = 36(190)4
#
n: 45833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
m: 100000000000000000000000000000000000000
deg: 5
c5: 55
c0: -4
skew: 0.59
# Murphy_E = 4.347e-11
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 15300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1920038 hash collisions in 12274651 relations (10921401 unique)
Msieve: matrix is 990253 x 990479 (346.7 MB)

Sieving start time : 2022/08/08 14:57:48
Sieving end time  : 2022/08/08 19:24:21

Total sieving time: 4hrs 26min 33secs.

Total relation processing time: 0hrs 15min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 3sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,51,51,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

2560521415270018621973929236499068901303538175046554934823091247672253258845437616387337057728119180633147113594040968342644320297951582867783985102420856610800744878957169459962756052141527<190>

344670664913414013439050953500555933751265706983534847052035876534382789274131<78>
7428892783530784764324103764792526494982813179017349116062754359161162658528430319442235166423350710731468582317<112>

Number: n
N=2560521415270018621973929236499068901303538175046554934823091247672253258845437616387337057728119180633147113594040968342644320297951582867783985102420856610800744878957169459962756052141527  ( 190 digits)
SNFS difficulty: 192 digits.
Divisors found:

Tue Aug  9 07:41:15 2022  p78 factor: 344670664913414013439050953500555933751265706983534847052035876534382789274131
Tue Aug  9 07:41:15 2022  p112 factor: 7428892783530784764324103764792526494982813179017349116062754359161162658528430319442235166423350710731468582317
Tue Aug  9 07:41:15 2022  elapsed time 00:27:17 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 11x10^192-8 = 36(191)4
#
n: 2560521415270018621973929236499068901303538175046554934823091247672253258845437616387337057728119180633147113594040968342644320297951582867783985102420856610800744878957169459962756052141527
m: 100000000000000000000000000000000000000
deg: 5
c5: 275
c0: -2
skew: 0.37
# Murphy_E = 3.126e-11
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 37050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2051308 hash collisions in 12991223 relations (11519603 unique)
Msieve: matrix is 1157700 x 1157925 (400.5 MB)

Sieving start time : 2022/08/08 19:55:36
Sieving end time  : 2022/08/09 07:13:19

Total sieving time: 11hrs 17min 43secs.

Total relation processing time: 0hrs 22min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 22sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,51,51,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

103896569555809026874722069349573119880443522211594388082242924727131335844583209945882853053242330137282931263320023074743225043520893391113512170810093837<156>

6661916469790216829586920673363872550082094649953<49>
15595597757334342683036189063411406974660764226380521194940287130656196075220946871791435290977200999888429<107>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 103896569555809026874722069349573119880443522211594388082242924727131335844583209945882853053242330137282931263320023074743225043520893391113512170810093837 (156 digits)
Using B1=19930000, B2=70272304840, polynomial Dickson(12), sigma=1:1609081997
Step 1 took 46732ms
Step 2 took 18818ms
********** Factor found in step 2: 6661916469790216829586920673363872550082094649953
Found prime factor of 49 digits: 6661916469790216829586920673363872550082094649953
Prime cofactor 15595597757334342683036189063411406974660764226380521194940287130656196075220946871791435290977200999888429 has 107 digits

8285608862431355601181289045739792608196394314294491574750500863342237210770263220109546757858450546936231309960611472287669915031797553990028878413477504501<157>

273788368477215716200052752149465559683180509459062333<54>
30262822736097616005875111543947307088347303906575735687241544300787552301460819823915790271915504425497<104>

Number: n
N=8285608862431355601181289045739792608196394314294491574750500863342237210770263220109546757858450546936231309960611472287669915031797553990028878413477504501  ( 157 digits)
SNFS difficulty: 197 digits.
Divisors found:

Mon Oct  3 08:23:17 2022  p54 factor: 273788368477215716200052752149465559683180509459062333
Mon Oct  3 08:23:17 2022  p104 factor: 30262822736097616005875111543947307088347303906575735687241544300787552301460819823915790271915504425497
Mon Oct  3 08:23:17 2022  elapsed time 01:24:04 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.338).
Factorization parameters were as follows:
#
# N = 11x10^197-8 = 36(196)4
#
n: 8285608862431355601181289045739792608196394314294491574750500863342237210770263220109546757858450546936231309960611472287669915031797553990028878413477504501
m: 1000000000000000000000000000000000000000
deg: 5
c5: 275
c0: -2
skew: 0.37
# Murphy_E = 1.938e-11
type: snfs
lss: 1
rlim: 13700000
alim: 13700000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13700000/13700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1828229 hash collisions in 13798460 relations (12707034 unique)
Msieve: matrix is 1918317 x 1918542 (667.1 MB)

Sieving start time : 2022/10/03 00:11:45
Sieving end time  : 2022/10/03 06:58:54

Total sieving time: 6hrs 47min 9secs.

Total relation processing time: 1hrs 11min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 37sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13700000,13700000,27,27,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

452639681528592870604579949389609941322889388017354115849447431911880828389964020442025731990466418095980897412445889119318259038137404578333317810261200620026559981356959902746582001806721<189>

25689888737976185940222892092105025590784275641867121952014218011312840962097<77>
17619371035246110662219262115671758981811051876067747166275569441484602476897012682834246955859416155962732826193<113>

Number: n
N=452639681528592870604579949389609941322889388017354115849447431911880828389964020442025731990466418095980897412445889119318259038137404578333317810261200620026559981356959902746582001806721  ( 189 digits)
SNFS difficulty: 198 digits.
Divisors found:

Sun Aug 21 05:08:09 2022  p77 factor: 25689888737976185940222892092105025590784275641867121952014218011312840962097
Sun Aug 21 05:08:09 2022  p113 factor: 17619371035246110662219262115671758981811051876067747166275569441484602476897012682834246955859416155962732826193
Sun Aug 21 05:08:09 2022  elapsed time 01:07:56 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 11x10^198-8 = 36(197)4
#
n: 452639681528592870604579949389609941322889388017354115849447431911880828389964020442025731990466418095980897412445889119318259038137404578333317810261200620026559981356959902746582001806721
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1375
c0: -1
skew: 0.24
# Murphy_E = 2.078e-11
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3353938 hash collisions in 28974132 relations (27306813 unique)
Msieve: matrix is 1655587 x 1655814 (576.3 MB)

Sieving start time : 2022/08/20 19:19:48
Sieving end time  : 2022/08/21 03:58:46

Total sieving time: 8hrs 38min 58secs.

Total relation processing time: 0hrs 54min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 36sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14000000,14000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

355690486094760492581423076691047615420747467893900018255245723471998583649894164666407786309124145593540519856977090627347160672809494514791768780251180509013067<162>

735823719458497687970804822264243961588588579566094181<54>
483390894705756128218388043968267107395976762054645362499252653928789478701759243315363440988763135246989807<108>

Number: n
N=355690486094760492581423076691047615420747467893900018255245723471998583649894164666407786309124145593540519856977090627347160672809494514791768780251180509013067  ( 162 digits)
SNFS difficulty: 201 digits.
Divisors found:

Tue Oct  4 14:42:07 2022  p54 factor: 735823719458497687970804822264243961588588579566094181
Tue Oct  4 14:42:07 2022  p108 factor: 483390894705756128218388043968267107395976762054645362499252653928789478701759243315363440988763135246989807
Tue Oct  4 14:42:07 2022  elapsed time 00:55:46 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 11X10^200-8 = 36(199)4
#
n: 355690486094760492581423076691047615420747467893900018255245723471998583649894164666407786309124145593540519856977090627347160672809494514791768780251180509013067
m: 10000000000000000000000000000000000000000
deg: 5
c5: 11
c0: -8
skew: 0.94
# Murphy_E = 1.738e-11
type: snfs
lss: 1
rlim: 13700000
alim: 13700000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.6
alambda: 2.6
Factor base limits: 13700000/13700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 34050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4558901 hash collisions in 27840691 relations (24464359 unique)
Msieve: matrix is 1539770 x 1539997 (525.2 MB)

Sieving start time : 2022/10/04 02:10:27
Sieving end time  : 2022/10/04 13:45:49

Total sieving time: 11hrs 35min 22secs.

Total relation processing time: 0hrs 44min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 19sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,13700000,13700000,28,28,52,52,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2039195772768617384962119544317297076888552433360140657508540154367741670912685394275586627546259640235954890645984974625586832550620056682652153678943<151>

23230795649419951328112868875716055347469043202233781790982274147<65>
87779850657828586717159802892586251395956853841452008546183659625332789394101795232469<86>

yafu log:
04/22/24 09:38:43, nfs: commencing nfs on c203: 10999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999992
04/22/24 09:38:43, nfs: input divides 11*10^201 - 8
04/22/24 09:38:43, nfs: using supplied cofactor: 2039195772768617384962119544317297076888552433360140657508540154367741670912685394275586627546259640235954890645984974625586832550620056682652153678943
04/22/24 09:38:43, nfs: commencing snfs on c151: 2039195772768617384962119544317297076888552433360140657508540154367741670912685394275586627546259640235954890645984974625586832550620056682652153678943
04/22/24 09:38:43, gen: best 3 polynomials:
n: 2039195772768617384962119544317297076888552433360140657508540154367741670912685394275586627546259640235954890645984974625586832550620056682652153678943
# 11*10^201-8, difficulty: 202.04, anorm: -4.91e+28, rnorm: 7.53e+46
# scaled difficulty: 205.68, suggest sieving rational side
# size = 8.023e-14, alpha = -0.234, combined = 1.666e-11, rroots = 1
type: snfs
size: 202
skew: 0.5920
c5: 55
c0: -4
Y1: -1
Y0: 10000000000000000000000000000000000000000
n: 2039195772768617384962119544317297076888552433360140657508540154367741670912685394275586627546259640235954890645984974625586832550620056682652153678943
# 11*10^201-8, difficulty: 203.25, anorm: 1.49e+29, rnorm: 1.06e+47
# scaled difficulty: 206.82, suggest sieving rational side
# size = 5.459e-14, alpha = -1.158, combined = 1.334e-11, rroots = 1
type: snfs
size: 203
skew: 1.1840
c5: 55
c0: -128
Y1: -1
Y0: 20000000000000000000000000000000000000000
n: 2039195772768617384962119544317297076888552433360140657508540154367741670912685394275586627546259640235954890645984974625586832550620056682652153678943
# 11*10^201-8, difficulty: 202.04, anorm: -1.88e+36, rnorm: 1.06e+40
# scaled difficulty: 202.04, suggest sieving algebraic side
# size = 3.986e-10, alpha = 0.731, combined = 8.779e-12, rroots = 2
type: snfs
size: 202
skew: 0.2999
c6: 1375
c0: -1
Y1: -1
Y0: 1000000000000000000000000000000000
04/22/24 09:38:46, test: fb generation took 2.3101 seconds
04/22/24 09:38:46, test: commencing test sieving of polynomial 0 on the rational side over range 19000000-19001000
skew: 0.5920
c5: 55
c0: -4
Y1: -1
Y0: 10000000000000000000000000000000000000000
rlim: 19000000
alim: 19000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
04/22/24 09:40:07, nfs: parsing special-q from .dat file
04/22/24 09:40:07, test: new best estimated total sieving time = 12h 6m 36s (with 16 threads)
04/22/24 09:40:09, test: fb generation took 2.2975 seconds
04/22/24 09:40:09, test: commencing test sieving of polynomial 1 on the rational side over range 19000000-19001000
skew: 1.1840
c5: 55
c0: -128
Y1: -1
Y0: 20000000000000000000000000000000000000000
rlim: 19000000
alim: 19000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
04/22/24 09:41:29, nfs: parsing special-q from .dat file
04/22/24 09:41:29, test: estimated total sieving time = 13h 14m 17s (with 16 threads)
04/22/24 09:41:32, test: fb generation took 3.1684 seconds
04/22/24 09:41:32, test: commencing test sieving of polynomial 2 on the algebraic side over range 17000000-17001000
skew: 0.2999
c6: 1375
c0: -1
Y1: -1
Y0: 1000000000000000000000000000000000
rlim: 17000000
alim: 17000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
04/22/24 09:42:53, nfs: parsing special-q from .dat file
04/22/24 09:42:53, test: estimated total sieving time = 18h 20m 51s (with 16 threads)
04/22/24 09:42:53, gen: selected polynomial:
n: 2039195772768617384962119544317297076888552433360140657508540154367741670912685394275586627546259640235954890645984974625586832550620056682652153678943
# 11*10^201-8, difficulty: 202.04, anorm: -4.91e+28, rnorm: 7.53e+46
# scaled difficulty: 205.68, suggest sieving rational side
# size = 8.023e-14, alpha = -0.234, combined = 1.666e-11, rroots = 1
type: snfs
size: 202
skew: 0.5920
c5: 55
c0: -4
Y1: -1
Y0: 10000000000000000000000000000000000000000
04/22/24 09:42:53, nfs: commencing lattice sieving with 16 threads
04/22/24 09:54:20, nfs: found 255108 relations, need at least 21023254 (filtering ETA: 15h 31m), continuing with sieving ...
04/22/24 09:54:20, nfs: commencing lattice sieving with 16 threads
04/22/24 10:06:03, nfs: found 510865 relations, need at least 21023254 (filtering ETA: 15h 40m), continuing with sieving ...
04/22/24 10:06:03, nfs: commencing lattice sieving with 16 threads
04/22/24 10:17:39, nfs: found 764912 relations, need at least 21023254 (filtering ETA: 15h 24m), continuing with sieving ...
04/22/24 10:17:39, nfs: commencing lattice sieving with 16 threads
04/22/24 10:29:15, nfs: found 1019173 relations, need at least 21023254 (filtering ETA: 15h 13m), continuing with sieving ...
04/22/24 10:29:15, nfs: commencing lattice sieving with 16 threads
04/22/24 10:40:38, nfs: found 1270619 relations, need at least 21023254 (filtering ETA: 14h 53m), continuing with sieving ...
04/22/24 10:40:38, nfs: commencing lattice sieving with 16 threads
04/22/24 10:51:38, nfs: found 1521939 relations, need at least 21023254 (filtering ETA: 14h 13m), continuing with sieving ...
04/22/24 10:51:38, nfs: commencing lattice sieving with 16 threads
04/22/24 11:02:41, nfs: found 1775095 relations, need at least 21023254 (filtering ETA: 13h 59m), continuing with sieving ...
04/22/24 11:02:41, nfs: commencing lattice sieving with 16 threads
04/22/24 11:13:33, nfs: found 2027713 relations, need at least 21023254 (filtering ETA: 13h 36m), continuing with sieving ...
04/22/24 11:13:33, nfs: commencing lattice sieving with 16 threads
04/22/24 11:24:33, nfs: found 2277709 relations, need at least 21023254 (filtering ETA: 13h 44m), continuing with sieving ...
04/22/24 11:24:33, nfs: commencing lattice sieving with 16 threads
04/22/24 11:35:35, nfs: found 2533338 relations, need at least 21023254 (filtering ETA: 13h 18m), continuing with sieving ...
04/22/24 11:35:35, nfs: commencing lattice sieving with 16 threads
04/22/24 11:46:36, nfs: found 2784515 relations, need at least 21023254 (filtering ETA: 13h 20m), continuing with sieving ...
04/22/24 11:46:36, nfs: commencing lattice sieving with 16 threads
04/22/24 11:57:36, nfs: found 3038943 relations, need at least 21023254 (filtering ETA: 12h 57m), continuing with sieving ...
04/22/24 11:57:36, nfs: commencing lattice sieving with 16 threads
04/22/24 12:08:34, nfs: found 3292473 relations, need at least 21023254 (filtering ETA: 12h 46m), continuing with sieving ...
04/22/24 12:08:34, nfs: commencing lattice sieving with 16 threads
04/22/24 12:19:34, nfs: found 3545040 relations, need at least 21023254 (filtering ETA: 12h 41m), continuing with sieving ...
04/22/24 12:19:34, nfs: commencing lattice sieving with 16 threads
04/22/24 12:30:39, nfs: found 3799798 relations, need at least 21023254 (filtering ETA: 12h 28m), continuing with sieving ...
04/22/24 12:30:39, nfs: commencing lattice sieving with 16 threads
04/22/24 12:41:45, nfs: found 4050118 relations, need at least 21023254 (filtering ETA: 12h 32m), continuing with sieving ...
04/22/24 12:41:45, nfs: commencing lattice sieving with 16 threads
04/22/24 12:52:38, nfs: found 4303207 relations, need at least 21023254 (filtering ETA: 11h 59m), continuing with sieving ...
04/22/24 12:52:38, nfs: commencing lattice sieving with 16 threads
04/22/24 13:03:40, nfs: found 4556453 relations, need at least 21023254 (filtering ETA: 11h 57m), continuing with sieving ...
04/22/24 13:03:40, nfs: commencing lattice sieving with 16 threads
04/22/24 13:14:39, nfs: found 4807200 relations, need at least 21023254 (filtering ETA: 11h 50m), continuing with sieving ...
04/22/24 13:14:39, nfs: commencing lattice sieving with 16 threads
04/22/24 13:26:01, nfs: found 5061503 relations, need at least 21023254 (filtering ETA: 11h 54m), continuing with sieving ...
04/22/24 13:26:01, nfs: commencing lattice sieving with 16 threads
04/22/24 13:37:34, nfs: found 5313129 relations, need at least 21023254 (filtering ETA: 12h 0m), continuing with sieving ...
04/22/24 13:37:34, nfs: commencing lattice sieving with 16 threads
04/22/24 13:49:28, nfs: found 5563788 relations, need at least 21023254 (filtering ETA: 12h 14m), continuing with sieving ...
04/22/24 13:49:28, nfs: commencing lattice sieving with 16 threads
04/22/24 14:00:34, nfs: found 5813366 relations, need at least 21023254 (filtering ETA: 11h 15m), continuing with sieving ...
04/22/24 14:00:34, nfs: commencing lattice sieving with 16 threads
04/22/24 14:11:32, nfs: found 6064375 relations, need at least 21023254 (filtering ETA: 10h 53m), continuing with sieving ...
04/22/24 14:11:32, nfs: commencing lattice sieving with 16 threads
04/22/24 14:23:01, nfs: found 6316976 relations, need at least 21023254 (filtering ETA: 11h 8m), continuing with sieving ...
04/22/24 14:23:01, nfs: commencing lattice sieving with 16 threads
04/22/24 14:34:40, nfs: found 6569979 relations, need at least 21023254 (filtering ETA: 11h 5m), continuing with sieving ...
04/22/24 14:34:40, nfs: commencing lattice sieving with 16 threads
04/22/24 14:46:23, nfs: found 6823955 relations, need at least 21023254 (filtering ETA: 10h 55m), continuing with sieving ...
04/22/24 14:46:23, nfs: commencing lattice sieving with 16 threads
04/22/24 14:57:28, nfs: found 7073030 relations, need at least 21023254 (filtering ETA: 10h 20m), continuing with sieving ...
04/22/24 14:57:28, nfs: commencing lattice sieving with 16 threads
04/22/24 15:08:46, nfs: found 7325470 relations, need at least 21023254 (filtering ETA: 10h 12m), continuing with sieving ...
04/22/24 15:08:46, nfs: commencing lattice sieving with 16 threads
04/22/24 15:19:59, nfs: found 7574487 relations, need at least 21023254 (filtering ETA: 10h 5m), continuing with sieving ...
04/22/24 15:19:59, nfs: commencing lattice sieving with 16 threads
04/22/24 15:31:20, nfs: found 7826749 relations, need at least 21023254 (filtering ETA: 9h 54m), continuing with sieving ...
04/22/24 15:31:20, nfs: commencing lattice sieving with 16 threads
04/22/24 15:42:23, nfs: found 8077651 relations, need at least 21023254 (filtering ETA: 9h 30m), continuing with sieving ...
04/22/24 15:42:23, nfs: commencing lattice sieving with 16 threads
04/22/24 15:53:18, nfs: found 8327960 relations, need at least 21023254 (filtering ETA: 9h 14m), continuing with sieving ...
04/22/24 15:53:18, nfs: commencing lattice sieving with 16 threads
04/22/24 16:04:22, nfs: found 8578484 relations, need at least 21023254 (filtering ETA: 9h 8m), continuing with sieving ...
04/22/24 16:04:22, nfs: commencing lattice sieving with 16 threads
04/22/24 16:15:22, nfs: found 8829482 relations, need at least 21023254 (filtering ETA: 8h 55m), continuing with sieving ...
04/22/24 16:15:22, nfs: commencing lattice sieving with 16 threads
04/22/24 16:26:35, nfs: found 9082304 relations, need at least 21023254 (filtering ETA: 8h 49m), continuing with sieving ...
04/22/24 16:26:35, nfs: commencing lattice sieving with 16 threads
04/22/24 16:37:38, nfs: found 9332486 relations, need at least 21023254 (filtering ETA: 8h 35m), continuing with sieving ...
04/22/24 16:37:38, nfs: commencing lattice sieving with 16 threads
04/22/24 16:48:42, nfs: found 9580646 relations, need at least 21023254 (filtering ETA: 8h 30m), continuing with sieving ...
04/22/24 16:48:42, nfs: commencing lattice sieving with 16 threads
04/22/24 16:59:54, nfs: found 9831234 relations, need at least 21023254 (filtering ETA: 8h 20m), continuing with sieving ...
04/22/24 16:59:54, nfs: commencing lattice sieving with 16 threads
04/22/24 17:11:04, nfs: found 10080960 relations, need at least 21023254 (filtering ETA: 8h 9m), continuing with sieving ...
04/22/24 17:11:04, nfs: commencing lattice sieving with 16 threads
04/22/24 17:22:38, nfs: found 10332712 relations, need at least 21023254 (filtering ETA: 8h 10m), continuing with sieving ...
04/22/24 17:22:38, nfs: commencing lattice sieving with 16 threads
04/22/24 17:34:07, nfs: found 10581072 relations, need at least 21023254 (filtering ETA: 8h 2m), continuing with sieving ...
04/22/24 17:34:07, nfs: commencing lattice sieving with 16 threads
04/22/24 17:45:44, nfs: found 10825891 relations, need at least 21023254 (filtering ETA: 8h 3m), continuing with sieving ...
04/22/24 17:45:44, nfs: commencing lattice sieving with 16 threads
04/22/24 17:57:51, nfs: found 11074647 relations, need at least 21023254 (filtering ETA: 8h 4m), continuing with sieving ...
04/22/24 17:57:51, nfs: commencing lattice sieving with 16 threads
04/22/24 18:09:12, nfs: found 11318145 relations, need at least 21023254 (filtering ETA: 7h 32m), continuing with sieving ...
04/22/24 18:09:12, nfs: commencing lattice sieving with 16 threads
04/22/24 18:20:27, nfs: found 11568608 relations, need at least 21023254 (filtering ETA: 7h 4m), continuing with sieving ...
04/22/24 18:20:27, nfs: commencing lattice sieving with 16 threads
04/22/24 18:31:43, nfs: found 11817809 relations, need at least 21023254 (filtering ETA: 6h 56m), continuing with sieving ...
04/22/24 18:31:43, nfs: commencing lattice sieving with 16 threads
04/22/24 18:43:03, nfs: found 12065747 relations, need at least 21023254 (filtering ETA: 6h 49m), continuing with sieving ...
04/22/24 18:43:03, nfs: commencing lattice sieving with 16 threads
04/22/24 18:54:35, nfs: found 12313164 relations, need at least 21023254 (filtering ETA: 6h 46m), continuing with sieving ...
04/22/24 18:54:35, nfs: commencing lattice sieving with 16 threads
04/22/24 19:05:43, nfs: found 12558819 relations, need at least 21023254 (filtering ETA: 6h 23m), continuing with sieving ...
04/22/24 19:05:43, nfs: commencing lattice sieving with 16 threads
04/22/24 19:16:47, nfs: found 12805065 relations, need at least 21023254 (filtering ETA: 6h 9m), continuing with sieving ...
04/22/24 19:16:47, nfs: commencing lattice sieving with 16 threads
04/22/24 19:28:21, nfs: found 13055391 relations, need at least 21023254 (filtering ETA: 6h 7m), continuing with sieving ...
04/22/24 19:28:21, nfs: commencing lattice sieving with 16 threads
04/22/24 19:39:52, nfs: found 13303018 relations, need at least 21023254 (filtering ETA: 5h 59m), continuing with sieving ...
04/22/24 19:39:52, nfs: commencing lattice sieving with 16 threads
04/22/24 19:51:19, nfs: found 13552072 relations, need at least 21023254 (filtering ETA: 5h 43m), continuing with sieving ...
04/22/24 19:51:19, nfs: commencing lattice sieving with 16 threads
04/22/24 20:02:38, nfs: found 13801168 relations, need at least 21023254 (filtering ETA: 5h 27m), continuing with sieving ...
04/22/24 20:02:38, nfs: commencing lattice sieving with 16 threads
04/22/24 20:13:47, nfs: found 14045876 relations, need at least 21023254 (filtering ETA: 5h 18m), continuing with sieving ...
04/22/24 20:13:47, nfs: commencing lattice sieving with 16 threads
04/22/24 20:24:54, nfs: found 14291006 relations, need at least 21023254 (filtering ETA: 5h 5m), continuing with sieving ...
04/22/24 20:24:54, nfs: commencing lattice sieving with 16 threads
04/22/24 20:36:24, nfs: found 14540057 relations, need at least 21023254 (filtering ETA: 4h 59m), continuing with sieving ...
04/22/24 20:36:24, nfs: commencing lattice sieving with 16 threads
04/22/24 20:47:31, nfs: found 14784665 relations, need at least 21023254 (filtering ETA: 4h 43m), continuing with sieving ...
04/22/24 20:47:31, nfs: commencing lattice sieving with 16 threads
04/22/24 20:58:39, nfs: found 15031779 relations, need at least 21023254 (filtering ETA: 4h 29m), continuing with sieving ...
04/22/24 20:58:39, nfs: commencing lattice sieving with 16 threads
04/22/24 21:10:29, nfs: found 15281328 relations, need at least 21023254 (filtering ETA: 4h 32m), continuing with sieving ...
04/22/24 21:10:29, nfs: commencing lattice sieving with 16 threads
04/22/24 21:21:57, nfs: found 15528258 relations, need at least 21023254 (filtering ETA: 4h 15m), continuing with sieving ...
04/22/24 21:21:57, nfs: commencing lattice sieving with 16 threads
04/22/24 21:33:59, nfs: found 15772606 relations, need at least 21023254 (filtering ETA: 4h 18m), continuing with sieving ...
04/22/24 21:33:59, nfs: commencing lattice sieving with 16 threads
04/22/24 21:45:58, nfs: found 16019471 relations, need at least 21023254 (filtering ETA: 4h 2m), continuing with sieving ...
04/22/24 21:45:58, nfs: commencing lattice sieving with 16 threads
04/22/24 21:57:41, nfs: found 16264896 relations, need at least 21023254 (filtering ETA: 3h 47m), continuing with sieving ...
04/22/24 21:57:41, nfs: commencing lattice sieving with 16 threads
04/22/24 22:09:26, nfs: found 16512987 relations, need at least 21023254 (filtering ETA: 3h 33m), continuing with sieving ...
04/22/24 22:09:26, nfs: commencing lattice sieving with 16 threads
04/22/24 22:21:20, nfs: found 16758031 relations, need at least 21023254 (filtering ETA: 3h 27m), continuing with sieving ...
04/22/24 22:21:20, nfs: commencing lattice sieving with 16 threads
04/22/24 22:32:51, nfs: found 17001643 relations, need at least 21023254 (filtering ETA: 3h 10m), continuing with sieving ...
04/22/24 22:32:51, nfs: commencing lattice sieving with 16 threads
04/22/24 22:44:33, nfs: found 17246405 relations, need at least 21023254 (filtering ETA: 3h 0m), continuing with sieving ...
04/22/24 22:44:33, nfs: commencing lattice sieving with 16 threads
04/22/24 22:56:33, nfs: found 17491785 relations, need at least 21023254 (filtering ETA: 2h 52m), continuing with sieving ...
04/22/24 22:56:33, nfs: commencing lattice sieving with 16 threads
04/22/24 23:08:24, nfs: found 17735999 relations, need at least 21023254 (filtering ETA: 2h 39m), continuing with sieving ...
04/22/24 23:08:24, nfs: commencing lattice sieving with 16 threads
04/22/24 23:20:15, nfs: found 17979855 relations, need at least 21023254 (filtering ETA: 2h 27m), continuing with sieving ...
04/22/24 23:20:15, nfs: commencing lattice sieving with 16 threads
04/22/24 23:32:06, nfs: found 18225730 relations, need at least 21023254 (filtering ETA: 2h 14m), continuing with sieving ...
04/22/24 23:32:06, nfs: commencing lattice sieving with 16 threads
04/22/24 23:43:54, nfs: found 18468105 relations, need at least 21023254 (filtering ETA: 2h 4m), continuing with sieving ...
04/22/24 23:43:54, nfs: commencing lattice sieving with 16 threads
04/22/24 23:55:56, nfs: found 18711873 relations, need at least 21023254 (filtering ETA: 1h 54m), continuing with sieving ...
04/22/24 23:55:56, nfs: commencing lattice sieving with 16 threads
04/23/24 00:08:35, nfs: found 18959788 relations, need at least 21023254 (filtering ETA: 1h 45m), continuing with sieving ...
04/23/24 00:08:35, nfs: commencing lattice sieving with 16 threads
04/23/24 00:21:02, nfs: found 19203945 relations, need at least 21023254 (filtering ETA: 1h 32m), continuing with sieving ...
04/23/24 00:21:02, nfs: commencing lattice sieving with 16 threads
04/23/24 00:33:26, nfs: found 19447645 relations, need at least 21023254 (filtering ETA: 1h 20m), continuing with sieving ...
04/23/24 00:33:26, nfs: commencing lattice sieving with 16 threads
04/23/24 00:45:39, nfs: found 19688657 relations, need at least 21023254 (filtering ETA: 1h 7m), continuing with sieving ...
04/23/24 00:45:39, nfs: commencing lattice sieving with 16 threads
04/23/24 00:57:49, nfs: found 19935206 relations, need at least 21023254 (filtering ETA: 0h 53m), continuing with sieving ...
04/23/24 00:57:49, nfs: commencing lattice sieving with 16 threads
04/23/24 01:09:43, nfs: found 20177509 relations, need at least 21023254 (filtering ETA: 0h 41m), continuing with sieving ...
04/23/24 01:09:43, nfs: commencing lattice sieving with 16 threads
04/23/24 01:21:37, nfs: found 20418911 relations, need at least 21023254 (filtering ETA: 0h 29m), continuing with sieving ...
04/23/24 01:21:37, nfs: commencing lattice sieving with 16 threads
04/23/24 01:33:57, nfs: found 20663122 relations, need at least 21023254 (filtering ETA: 0h 18m), continuing with sieving ...
04/23/24 01:33:57, nfs: commencing lattice sieving with 16 threads
04/23/24 01:46:40, nfs: found 20907045 relations, need at least 21023254 (filtering ETA: 0h 6m), continuing with sieving ...
04/23/24 01:46:40, nfs: commencing lattice sieving with 16 threads
04/23/24 01:59:30, nfs: commencing msieve filtering
04/23/24 02:03:44, nfs: raising min_rels by 5.00 percent to 22206828
04/23/24 02:03:44, nfs: commencing lattice sieving with 16 threads
04/23/24 02:15:20, nfs: found 21390034 relations, need at least 22206828 (filtering ETA: 0h 39m), continuing with sieving ...
04/23/24 02:15:20, nfs: commencing lattice sieving with 16 threads
04/23/24 02:28:23, nfs: found 21631469 relations, need at least 22206828 (filtering ETA: 0h 31m), continuing with sieving ...
04/23/24 02:28:23, nfs: commencing lattice sieving with 16 threads
04/23/24 02:41:15, nfs: found 21875594 relations, need at least 22206828 (filtering ETA: 0h 17m), continuing with sieving ...
04/23/24 02:41:15, nfs: commencing lattice sieving with 16 threads
04/23/24 02:53:48, nfs: found 22118906 relations, need at least 22206828 (filtering ETA: 0h 4m), continuing with sieving ...
04/23/24 02:53:48, nfs: commencing lattice sieving with 16 threads
04/23/24 03:06:01, nfs: commencing msieve filtering
04/23/24 03:10:33, nfs: raising min_rels by 5.00 percent to 23478536
04/23/24 03:10:33, nfs: commencing lattice sieving with 16 threads
04/23/24 03:22:18, nfs: found 22604569 relations, need at least 23478536 (filtering ETA: 0h 42m), continuing with sieving ...
04/23/24 03:22:18, nfs: commencing lattice sieving with 16 threads
04/23/24 03:34:30, nfs: found 22847098 relations, need at least 23478536 (filtering ETA: 0h 31m), continuing with sieving ...
04/23/24 03:34:30, nfs: commencing lattice sieving with 16 threads
04/23/24 03:46:37, nfs: found 23089173 relations, need at least 23478536 (filtering ETA: 0h 19m), continuing with sieving ...
04/23/24 03:46:37, nfs: commencing lattice sieving with 16 threads
04/23/24 03:58:54, nfs: found 23334858 relations, need at least 23478536 (filtering ETA: 0h 7m), continuing with sieving ...
04/23/24 03:58:54, nfs: commencing lattice sieving with 16 threads
04/23/24 04:11:20, nfs: commencing msieve filtering
04/23/24 04:17:59, nfs: commencing msieve linear algebra
04/23/24 05:55:35, nfs: commencing msieve sqrt
04/23/24 07:38:54, prp86 = 87779850657828586717159802892586251395956853841452008546183659625332789394101795232469
04/23/24 07:38:54, C52 = 5394283445902446665167963281815334755634324119585544
04/23/24 07:38:54, prp65 = 23230795649419951328112868875716055347469043202233781790982274147
04/22/24 09:42:53, test: test sieving took 249.42 seconds

LA step:
Tue Apr 23 04:11:20 2024  
Tue Apr 23 04:11:20 2024  commencing relation filtering
Tue Apr 23 04:11:20 2024  estimated available RAM is 31991.8 MB
Tue Apr 23 04:11:20 2024  commencing duplicate removal, pass 1
Tue Apr 23 04:13:37 2024  skipped 1 relations with b > 2^32
Tue Apr 23 04:13:37 2024  found 2546600 hash collisions in 24306483 relations
Tue Apr 23 04:13:53 2024  added 748 free relations
Tue Apr 23 04:13:53 2024  commencing duplicate removal, pass 2
Tue Apr 23 04:13:58 2024  found 1848211 duplicates and 22459020 unique relations
Tue Apr 23 04:13:58 2024  memory use: 98.6 MB
Tue Apr 23 04:13:58 2024  reading ideals above 720000
Tue Apr 23 04:13:58 2024  commencing singleton removal, initial pass
Tue Apr 23 04:15:50 2024  memory use: 689.0 MB
Tue Apr 23 04:15:50 2024  reading all ideals from disk
Tue Apr 23 04:15:50 2024  memory use: 757.8 MB
Tue Apr 23 04:15:51 2024  keeping 24039842 ideals with weight <= 200, target excess is 121688
Tue Apr 23 04:15:52 2024  commencing in-memory singleton removal
Tue Apr 23 04:15:53 2024  begin with 22459020 relations and 24039842 unique ideals
Tue Apr 23 04:16:03 2024  reduce to 10832068 relations and 10469234 ideals in 17 passes
Tue Apr 23 04:16:03 2024  max relations containing the same ideal: 125
Tue Apr 23 04:16:06 2024  removing 1092934 relations and 982096 ideals in 110838 cliques
Tue Apr 23 04:16:06 2024  commencing in-memory singleton removal
Tue Apr 23 04:16:07 2024  begin with 9739134 relations and 10469234 unique ideals
Tue Apr 23 04:16:11 2024  reduce to 9638488 relations and 9384996 ideals in 10 passes
Tue Apr 23 04:16:11 2024  max relations containing the same ideal: 118
Tue Apr 23 04:16:14 2024  removing 803590 relations and 692752 ideals in 110838 cliques
Tue Apr 23 04:16:14 2024  commencing in-memory singleton removal
Tue Apr 23 04:16:15 2024  begin with 8834898 relations and 9384996 unique ideals
Tue Apr 23 04:16:18 2024  reduce to 8774438 relations and 8631016 ideals in 9 passes
Tue Apr 23 04:16:18 2024  max relations containing the same ideal: 108
Tue Apr 23 04:16:21 2024  relations with 0 large ideals: 2918
Tue Apr 23 04:16:21 2024  relations with 1 large ideals: 399
Tue Apr 23 04:16:21 2024  relations with 2 large ideals: 9213
Tue Apr 23 04:16:21 2024  relations with 3 large ideals: 82885
Tue Apr 23 04:16:21 2024  relations with 4 large ideals: 413318
Tue Apr 23 04:16:21 2024  relations with 5 large ideals: 1213159
Tue Apr 23 04:16:21 2024  relations with 6 large ideals: 2282331
Tue Apr 23 04:16:21 2024  relations with 7+ large ideals: 4770215
Tue Apr 23 04:16:21 2024  commencing 2-way merge
Tue Apr 23 04:16:25 2024  reduce to 5291923 relation sets and 5148501 unique ideals
Tue Apr 23 04:16:25 2024  commencing full merge
Tue Apr 23 04:17:33 2024  memory use: 636.5 MB
Tue Apr 23 04:17:33 2024  found 2460282 cycles, need 2454701
Tue Apr 23 04:17:34 2024  weight of 2454701 cycles is about 221299174 (90.15/cycle)
Tue Apr 23 04:17:34 2024  distribution of cycle lengths:
Tue Apr 23 04:17:34 2024  1 relations: 279605
Tue Apr 23 04:17:34 2024  2 relations: 249609
Tue Apr 23 04:17:34 2024  3 relations: 242939
Tue Apr 23 04:17:34 2024  4 relations: 219687
Tue Apr 23 04:17:34 2024  5 relations: 200267
Tue Apr 23 04:17:34 2024  6 relations: 178585
Tue Apr 23 04:17:34 2024  7 relations: 157246
Tue Apr 23 04:17:34 2024  8 relations: 135459
Tue Apr 23 04:17:34 2024  9 relations: 120152
Tue Apr 23 04:17:34 2024  10+ relations: 671152
Tue Apr 23 04:17:34 2024  heaviest cycle: 28 relations
Tue Apr 23 04:17:34 2024  commencing cycle optimization
Tue Apr 23 04:17:37 2024  start with 17435656 relations
Tue Apr 23 04:17:57 2024  pruned 511841 relations
Tue Apr 23 04:17:57 2024  memory use: 533.0 MB
Tue Apr 23 04:17:57 2024  distribution of cycle lengths:
Tue Apr 23 04:17:57 2024  1 relations: 279605
Tue Apr 23 04:17:57 2024  2 relations: 255562
Tue Apr 23 04:17:57 2024  3 relations: 252127
Tue Apr 23 04:17:57 2024  4 relations: 225509
Tue Apr 23 04:17:57 2024  5 relations: 206590
Tue Apr 23 04:17:57 2024  6 relations: 181894
Tue Apr 23 04:17:57 2024  7 relations: 159684
Tue Apr 23 04:17:57 2024  8 relations: 136359
Tue Apr 23 04:17:57 2024  9 relations: 120293
Tue Apr 23 04:17:57 2024  10+ relations: 637078
Tue Apr 23 04:17:57 2024  heaviest cycle: 28 relations
Tue Apr 23 04:17:59 2024  RelProcTime: 399
Tue Apr 23 04:17:59 2024  
Tue Apr 23 04:17:59 2024  commencing linear algebra
Tue Apr 23 04:17:59 2024  read 2454701 cycles
Tue Apr 23 04:18:02 2024  cycles contain 8603374 unique relations
Tue Apr 23 04:18:31 2024  read 8603374 relations
Tue Apr 23 04:18:41 2024  using 20 quadratic characters above 4294917295
Tue Apr 23 04:19:06 2024  building initial matrix
Tue Apr 23 04:19:58 2024  memory use: 1037.2 MB
Tue Apr 23 04:19:59 2024  read 2454701 cycles
Tue Apr 23 04:19:59 2024  matrix is 2454524 x 2454701 (905.5 MB) with weight 266201519 (108.45/col)
Tue Apr 23 04:19:59 2024  sparse part has weight 210369552 (85.70/col)
Tue Apr 23 04:20:12 2024  filtering completed in 2 passes
Tue Apr 23 04:20:12 2024  matrix is 2453861 x 2454038 (905.4 MB) with weight 266175770 (108.46/col)
Tue Apr 23 04:20:12 2024  sparse part has weight 210360320 (85.72/col)
Tue Apr 23 04:20:16 2024  matrix starts at (0, 0)
Tue Apr 23 04:20:16 2024  matrix is 2453861 x 2454038 (905.4 MB) with weight 266175770 (108.46/col)
Tue Apr 23 04:20:16 2024  sparse part has weight 210360320 (85.72/col)
Tue Apr 23 04:20:16 2024  saving the first 48 matrix rows for later
Tue Apr 23 04:20:17 2024  matrix includes 64 packed rows
Tue Apr 23 04:20:17 2024  matrix is 2453813 x 2454038 (866.1 MB) with weight 221770071 (90.37/col)
Tue Apr 23 04:20:17 2024  sparse part has weight 202495698 (82.52/col)
Tue Apr 23 04:20:17 2024  using block size 8192 and superblock size 3145728 for processor cache size 32768 kB
Tue Apr 23 04:20:23 2024  commencing Lanczos iteration (16 threads)
Tue Apr 23 04:20:23 2024  memory use: 822.2 MB
Tue Apr 23 04:20:26 2024  linear algebra at 0.1%, ETA 1h21m
Tue Apr 23 04:20:27 2024  checkpointing every 1820000 dimensions
Tue Apr 23 05:55:33 2024  lanczos halted after 38804 iterations (dim = 2453811)
Tue Apr 23 05:55:35 2024  recovered 38 nontrivial dependencies
Tue Apr 23 05:55:35 2024  BLanczosTime: 5856
Tue Apr 23 05:55:35 2024  
Tue Apr 23 05:55:35 2024  commencing square root phase
Tue Apr 23 05:55:35 2024  reading relations for dependency 1
Tue Apr 23 05:55:35 2024  read 1227512 cycles
Tue Apr 23 05:55:36 2024  cycles contain 4303500 unique relations
Tue Apr 23 05:55:52 2024  read 4303500 relations
Tue Apr 23 05:56:03 2024  multiplying 4303500 relations
Tue Apr 23 05:57:06 2024  multiply complete, coefficients have about 125.58 million bits
Tue Apr 23 05:57:07 2024  initial square root is modulo 1032726661
Tue Apr 23 05:58:22 2024  GCD is N, no factor found
Tue Apr 23 05:58:22 2024  reading relations for dependency 2
Tue Apr 23 05:58:22 2024  read 1226309 cycles
Tue Apr 23 05:58:23 2024  cycles contain 4298350 unique relations
Tue Apr 23 05:58:39 2024  read 4298350 relations
Tue Apr 23 05:58:50 2024  multiplying 4298350 relations
Tue Apr 23 05:59:52 2024  multiply complete, coefficients have about 125.43 million bits
Tue Apr 23 05:59:52 2024  initial square root is modulo 1007517241
Tue Apr 23 06:01:08 2024  Newton iteration failed to converge
Tue Apr 23 06:01:08 2024  algebraic square root failed
Tue Apr 23 06:01:08 2024  reading relations for dependency 3
Tue Apr 23 06:01:08 2024  read 1226824 cycles
Tue Apr 23 06:01:09 2024  cycles contain 4299482 unique relations
Tue Apr 23 06:01:25 2024  read 4299482 relations
Tue Apr 23 06:01:35 2024  multiplying 4299482 relations
Tue Apr 23 06:02:38 2024  multiply complete, coefficients have about 125.46 million bits
Tue Apr 23 06:02:38 2024  initial square root is modulo 1012542781
Tue Apr 23 06:03:54 2024  found factor: 23230795649419951328112868875716055347469043202233781790982274147
Tue Apr 23 06:03:54 2024  reading relations for dependency 4
Tue Apr 23 06:03:54 2024  read 1228281 cycles
Tue Apr 23 06:03:55 2024  cycles contain 4304218 unique relations
Tue Apr 23 06:04:11 2024  read 4304218 relations
Tue Apr 23 06:04:21 2024  multiplying 4304218 relations
Tue Apr 23 06:05:23 2024  multiply complete, coefficients have about 125.61 million bits
Tue Apr 23 06:05:24 2024  initial square root is modulo 1036477261
Tue Apr 23 06:06:37 2024  GCD is N, no factor found
Tue Apr 23 06:06:37 2024  reading relations for dependency 5
Tue Apr 23 06:06:37 2024  read 1227142 cycles
Tue Apr 23 06:06:38 2024  cycles contain 4300752 unique relations
Tue Apr 23 06:06:54 2024  read 4300752 relations
Tue Apr 23 06:07:05 2024  multiplying 4300752 relations
Tue Apr 23 06:08:07 2024  multiply complete, coefficients have about 125.50 million bits
Tue Apr 23 06:08:08 2024  initial square root is modulo 1018664671
Tue Apr 23 06:09:21 2024  GCD is N, no factor found
Tue Apr 23 06:09:21 2024  reading relations for dependency 6
Tue Apr 23 06:09:21 2024  read 1228566 cycles
Tue Apr 23 06:09:23 2024  cycles contain 4305152 unique relations
Tue Apr 23 06:09:38 2024  read 4305152 relations
Tue Apr 23 06:09:49 2024  multiplying 4305152 relations
Tue Apr 23 06:10:52 2024  multiply complete, coefficients have about 125.63 million bits
Tue Apr 23 06:10:52 2024  initial square root is modulo 1041088291
Tue Apr 23 06:12:05 2024  GCD is 1, no factor found
Tue Apr 23 06:12:05 2024  reading relations for dependency 7
Tue Apr 23 06:12:06 2024  read 1227050 cycles
Tue Apr 23 06:12:07 2024  cycles contain 4303202 unique relations
Tue Apr 23 06:12:23 2024  read 4303202 relations
Tue Apr 23 06:12:33 2024  multiplying 4303202 relations
Tue Apr 23 06:13:35 2024  multiply complete, coefficients have about 125.57 million bits
Tue Apr 23 06:13:36 2024  initial square root is modulo 1031015431
Tue Apr 23 06:14:48 2024  GCD is N, no factor found
Tue Apr 23 06:14:48 2024  reading relations for dependency 8
Tue Apr 23 06:14:48 2024  read 1227695 cycles
Tue Apr 23 06:14:50 2024  cycles contain 4303066 unique relations
Tue Apr 23 06:15:05 2024  read 4303066 relations
Tue Apr 23 06:15:16 2024  multiplying 4303066 relations
Tue Apr 23 06:16:18 2024  multiply complete, coefficients have about 125.57 million bits
Tue Apr 23 06:16:19 2024  initial square root is modulo 1030751921
Tue Apr 23 06:17:32 2024  found factor: 23230795649419951328112868875716055347469043202233781790982274147
Tue Apr 23 06:17:32 2024  reading relations for dependency 9
Tue Apr 23 06:17:32 2024  read 1226849 cycles
Tue Apr 23 06:17:33 2024  cycles contain 4298984 unique relations
Tue Apr 23 06:17:49 2024  read 4298984 relations
Tue Apr 23 06:18:00 2024  multiplying 4298984 relations
Tue Apr 23 06:19:02 2024  multiply complete, coefficients have about 125.45 million bits
Tue Apr 23 06:19:03 2024  initial square root is modulo 1010090911
Tue Apr 23 06:20:16 2024  found factor: 23230795649419951328112868875716055347469043202233781790982274147
Tue Apr 23 06:20:16 2024  reading relations for dependency 10
Tue Apr 23 06:20:16 2024  read 1226116 cycles
Tue Apr 23 06:20:18 2024  cycles contain 4299676 unique relations
Tue Apr 23 06:20:33 2024  read 4299676 relations
Tue Apr 23 06:20:44 2024  multiplying 4299676 relations
Tue Apr 23 06:21:45 2024  multiply complete, coefficients have about 125.47 million bits
Tue Apr 23 06:21:45 2024  initial square root is modulo 1013391361
Tue Apr 23 06:23:01 2024  found factor: 23230795649419951328112868875716055347469043202233781790982274147
Tue Apr 23 06:23:01 2024  reading relations for dependency 11
Tue Apr 23 06:23:01 2024  read 1226839 cycles
Tue Apr 23 06:23:02 2024  cycles contain 4300532 unique relations
Tue Apr 23 06:23:18 2024  read 4300532 relations
Tue Apr 23 06:23:28 2024  multiplying 4300532 relations
Tue Apr 23 06:24:30 2024  multiply complete, coefficients have about 125.50 million bits
Tue Apr 23 06:24:30 2024  initial square root is modulo 1018313671
Tue Apr 23 06:25:43 2024  GCD is N, no factor found
Tue Apr 23 06:25:43 2024  reading relations for dependency 12
Tue Apr 23 06:25:43 2024  read 1228254 cycles
Tue Apr 23 06:25:44 2024  cycles contain 4305832 unique relations
Tue Apr 23 06:25:59 2024  read 4305832 relations
Tue Apr 23 06:26:10 2024  multiplying 4305832 relations
Tue Apr 23 06:27:13 2024  multiply complete, coefficients have about 125.65 million bits
Tue Apr 23 06:27:13 2024  initial square root is modulo 1044584621
Tue Apr 23 06:28:25 2024  GCD is N, no factor found
Tue Apr 23 06:28:25 2024  reading relations for dependency 13
Tue Apr 23 06:28:25 2024  read 1226047 cycles
Tue Apr 23 06:28:27 2024  cycles contain 4301680 unique relations
Tue Apr 23 06:28:42 2024  read 4301680 relations
Tue Apr 23 06:28:53 2024  multiplying 4301680 relations
Tue Apr 23 06:29:55 2024  multiply complete, coefficients have about 125.53 million bits
Tue Apr 23 06:29:55 2024  initial square root is modulo 1023387821
Tue Apr 23 06:31:07 2024  GCD is N, no factor found
Tue Apr 23 06:31:07 2024  reading relations for dependency 14
Tue Apr 23 06:31:07 2024  read 1226090 cycles
Tue Apr 23 06:31:09 2024  cycles contain 4300702 unique relations
Tue Apr 23 06:31:24 2024  read 4300702 relations
Tue Apr 23 06:31:35 2024  multiplying 4300702 relations
Tue Apr 23 06:32:37 2024  multiply complete, coefficients have about 125.50 million bits
Tue Apr 23 06:32:37 2024  initial square root is modulo 1018866131
Tue Apr 23 06:33:49 2024  GCD is 1, no factor found
Tue Apr 23 06:33:49 2024  reading relations for dependency 15
Tue Apr 23 06:33:49 2024  read 1227247 cycles
Tue Apr 23 06:33:50 2024  cycles contain 4299764 unique relations
Tue Apr 23 06:34:06 2024  read 4299764 relations
Tue Apr 23 06:34:16 2024  multiplying 4299764 relations
Tue Apr 23 06:35:18 2024  multiply complete, coefficients have about 125.47 million bits
Tue Apr 23 06:35:18 2024  initial square root is modulo 1014004241
Tue Apr 23 06:36:31 2024  GCD is 1, no factor found
Tue Apr 23 06:36:31 2024  reading relations for dependency 16
Tue Apr 23 06:36:31 2024  read 1228040 cycles
Tue Apr 23 06:36:32 2024  cycles contain 4304592 unique relations
Tue Apr 23 06:36:47 2024  read 4304592 relations
Tue Apr 23 06:36:58 2024  multiplying 4304592 relations
Tue Apr 23 06:38:00 2024  multiply complete, coefficients have about 125.61 million bits
Tue Apr 23 06:38:01 2024  initial square root is modulo 1037705281
Tue Apr 23 06:39:13 2024  found factor: 23230795649419951328112868875716055347469043202233781790982274147
Tue Apr 23 06:39:13 2024  reading relations for dependency 17
Tue Apr 23 06:39:13 2024  read 1226168 cycles
Tue Apr 23 06:39:14 2024  cycles contain 4298004 unique relations
Tue Apr 23 06:39:30 2024  read 4298004 relations
Tue Apr 23 06:39:40 2024  multiplying 4298004 relations
Tue Apr 23 06:40:42 2024  multiply complete, coefficients have about 125.42 million bits
Tue Apr 23 06:40:43 2024  initial square root is modulo 1004904611
Tue Apr 23 06:41:57 2024  GCD is N, no factor found
Tue Apr 23 06:41:57 2024  reading relations for dependency 18
Tue Apr 23 06:41:58 2024  read 1226635 cycles
Tue Apr 23 06:41:59 2024  cycles contain 4302510 unique relations
Tue Apr 23 06:42:14 2024  read 4302510 relations
Tue Apr 23 06:42:25 2024  multiplying 4302510 relations
Tue Apr 23 06:43:28 2024  multiply complete, coefficients have about 125.55 million bits
Tue Apr 23 06:43:28 2024  initial square root is modulo 1026922301
Tue Apr 23 06:44:42 2024  GCD is N, no factor found
Tue Apr 23 06:44:42 2024  reading relations for dependency 19
Tue Apr 23 06:44:42 2024  read 1227456 cycles
Tue Apr 23 06:44:44 2024  cycles contain 4305230 unique relations
Tue Apr 23 06:44:59 2024  read 4305230 relations
Tue Apr 23 06:45:10 2024  multiplying 4305230 relations
Tue Apr 23 06:46:11 2024  multiply complete, coefficients have about 125.63 million bits
Tue Apr 23 06:46:12 2024  initial square root is modulo 1041395281
Tue Apr 23 06:47:24 2024  found factor: 23230795649419951328112868875716055347469043202233781790982274147
Tue Apr 23 06:47:24 2024  reading relations for dependency 20
Tue Apr 23 06:47:24 2024  read 1226090 cycles
Tue Apr 23 06:47:25 2024  cycles contain 4301304 unique relations
Tue Apr 23 06:47:40 2024  read 4301304 relations
Tue Apr 23 06:47:51 2024  multiplying 4301304 relations
Tue Apr 23 06:48:53 2024  multiply complete, coefficients have about 125.52 million bits
Tue Apr 23 06:48:54 2024  initial square root is modulo 1021935371
Tue Apr 23 06:50:07 2024  GCD is 1, no factor found
Tue Apr 23 06:50:07 2024  reading relations for dependency 21
Tue Apr 23 06:50:08 2024  read 1227434 cycles
Tue Apr 23 06:50:09 2024  cycles contain 4299470 unique relations
Tue Apr 23 06:50:24 2024  read 4299470 relations
Tue Apr 23 06:50:35 2024  multiplying 4299470 relations
Tue Apr 23 06:51:37 2024  multiply complete, coefficients have about 125.46 million bits
Tue Apr 23 06:51:37 2024  initial square root is modulo 1012645321
Tue Apr 23 06:52:51 2024  GCD is N, no factor found
Tue Apr 23 06:52:51 2024  reading relations for dependency 22
Tue Apr 23 06:52:51 2024  read 1226910 cycles
Tue Apr 23 06:52:53 2024  cycles contain 4299804 unique relations
Tue Apr 23 06:53:08 2024  read 4299804 relations
Tue Apr 23 06:53:19 2024  multiplying 4299804 relations
Tue Apr 23 06:54:21 2024  multiply complete, coefficients have about 125.48 million bits
Tue Apr 23 06:54:21 2024  initial square root is modulo 1014556771
Tue Apr 23 06:55:33 2024  GCD is N, no factor found
Tue Apr 23 06:55:33 2024  reading relations for dependency 23
Tue Apr 23 06:55:33 2024  read 1226917 cycles
Tue Apr 23 06:55:34 2024  cycles contain 4299776 unique relations
Tue Apr 23 06:55:49 2024  read 4299776 relations
Tue Apr 23 06:56:00 2024  multiplying 4299776 relations
Tue Apr 23 06:57:02 2024  multiply complete, coefficients have about 125.47 million bits
Tue Apr 23 06:57:03 2024  initial square root is modulo 1014250561
Tue Apr 23 06:58:15 2024  found factor: 23230795649419951328112868875716055347469043202233781790982274147
Tue Apr 23 06:58:15 2024  reading relations for dependency 24
Tue Apr 23 06:58:15 2024  read 1227786 cycles
Tue Apr 23 06:58:17 2024  cycles contain 4302942 unique relations
Tue Apr 23 06:58:32 2024  read 4302942 relations
Tue Apr 23 06:58:42 2024  multiplying 4302942 relations
Tue Apr 23 06:59:44 2024  multiply complete, coefficients have about 125.57 million bits
Tue Apr 23 06:59:44 2024  initial square root is modulo 1030162531
Tue Apr 23 07:00:56 2024  found factor: 23230795649419951328112868875716055347469043202233781790982274147
Tue Apr 23 07:00:56 2024  reading relations for dependency 25
Tue Apr 23 07:00:56 2024  read 1225925 cycles
Tue Apr 23 07:00:58 2024  cycles contain 4298552 unique relations
Tue Apr 23 07:01:13 2024  read 4298552 relations
Tue Apr 23 07:01:24 2024  multiplying 4298552 relations
Tue Apr 23 07:02:25 2024  multiply complete, coefficients have about 125.44 million bits
Tue Apr 23 07:02:26 2024  initial square root is modulo 1008087701
Tue Apr 23 07:03:40 2024  found factor: 23230795649419951328112868875716055347469043202233781790982274147
Tue Apr 23 07:03:40 2024  reading relations for dependency 26
Tue Apr 23 07:03:40 2024  read 1227476 cycles
Tue Apr 23 07:03:42 2024  cycles contain 4302414 unique relations
Tue Apr 23 07:03:57 2024  read 4302414 relations
Tue Apr 23 07:04:08 2024  multiplying 4302414 relations
Tue Apr 23 07:05:10 2024  multiply complete, coefficients have about 125.55 million bits
Tue Apr 23 07:05:10 2024  initial square root is modulo 1027215181
Tue Apr 23 07:06:23 2024  found factor: 23230795649419951328112868875716055347469043202233781790982274147
Tue Apr 23 07:06:23 2024  reading relations for dependency 27
Tue Apr 23 07:06:23 2024  read 1227047 cycles
Tue Apr 23 07:06:24 2024  cycles contain 4301030 unique relations
Tue Apr 23 07:06:39 2024  read 4301030 relations
Tue Apr 23 07:06:50 2024  multiplying 4301030 relations
Tue Apr 23 07:07:51 2024  multiply complete, coefficients have about 125.51 million bits
Tue Apr 23 07:07:52 2024  initial square root is modulo 1020139231
Tue Apr 23 07:09:03 2024  GCD is N, no factor found
Tue Apr 23 07:09:03 2024  reading relations for dependency 28
Tue Apr 23 07:09:04 2024  read 1228228 cycles
Tue Apr 23 07:09:05 2024  cycles contain 4303658 unique relations
Tue Apr 23 07:09:20 2024  read 4303658 relations
Tue Apr 23 07:09:31 2024  multiplying 4303658 relations
Tue Apr 23 07:10:33 2024  multiply complete, coefficients have about 125.59 million bits
Tue Apr 23 07:10:34 2024  initial square root is modulo 1033398551
Tue Apr 23 07:11:47 2024  GCD is N, no factor found
Tue Apr 23 07:11:47 2024  reading relations for dependency 29
Tue Apr 23 07:11:47 2024  read 1228479 cycles
Tue Apr 23 07:11:48 2024  cycles contain 4304208 unique relations
Tue Apr 23 07:12:04 2024  read 4304208 relations
Tue Apr 23 07:12:15 2024  multiplying 4304208 relations
Tue Apr 23 07:13:16 2024  multiply complete, coefficients have about 125.61 million bits
Tue Apr 23 07:13:17 2024  initial square root is modulo 1036591901
Tue Apr 23 07:14:30 2024  GCD is N, no factor found
Tue Apr 23 07:14:30 2024  reading relations for dependency 30
Tue Apr 23 07:14:30 2024  read 1226676 cycles
Tue Apr 23 07:14:31 2024  cycles contain 4302648 unique relations
Tue Apr 23 07:14:47 2024  read 4302648 relations
Tue Apr 23 07:14:58 2024  multiplying 4302648 relations
Tue Apr 23 07:16:00 2024  multiply complete, coefficients have about 125.56 million bits
Tue Apr 23 07:16:00 2024  initial square root is modulo 1028205851
Tue Apr 23 07:17:12 2024  found factor: 23230795649419951328112868875716055347469043202233781790982274147
Tue Apr 23 07:17:12 2024  reading relations for dependency 31
Tue Apr 23 07:17:12 2024  read 1226036 cycles
Tue Apr 23 07:17:13 2024  cycles contain 4300636 unique relations
Tue Apr 23 07:17:29 2024  read 4300636 relations
Tue Apr 23 07:17:39 2024  multiplying 4300636 relations
Tue Apr 23 07:18:40 2024  multiply complete, coefficients have about 125.50 million bits
Tue Apr 23 07:18:41 2024  initial square root is modulo 1018637801
Tue Apr 23 07:19:52 2024  found factor: 23230795649419951328112868875716055347469043202233781790982274147
Tue Apr 23 07:19:52 2024  reading relations for dependency 32
Tue Apr 23 07:19:53 2024  read 1227057 cycles
Tue Apr 23 07:19:54 2024  cycles contain 4300830 unique relations
Tue Apr 23 07:20:09 2024  read 4300830 relations
Tue Apr 23 07:20:20 2024  multiplying 4300830 relations
Tue Apr 23 07:21:22 2024  multiply complete, coefficients have about 125.51 million bits
Tue Apr 23 07:21:22 2024  initial square root is modulo 1020028871
Tue Apr 23 07:22:34 2024  GCD is N, no factor found
Tue Apr 23 07:22:34 2024  reading relations for dependency 33
Tue Apr 23 07:22:34 2024  read 1226474 cycles
Tue Apr 23 07:22:35 2024  cycles contain 4299424 unique relations
Tue Apr 23 07:22:50 2024  read 4299424 relations
Tue Apr 23 07:23:01 2024  multiplying 4299424 relations
Tue Apr 23 07:24:03 2024  multiply complete, coefficients have about 125.46 million bits
Tue Apr 23 07:24:04 2024  initial square root is modulo 1012012891
Tue Apr 23 07:25:18 2024  GCD is 1, no factor found
Tue Apr 23 07:25:18 2024  reading relations for dependency 34
Tue Apr 23 07:25:18 2024  read 1226501 cycles
Tue Apr 23 07:25:19 2024  cycles contain 4300610 unique relations
Tue Apr 23 07:25:34 2024  read 4300610 relations
Tue Apr 23 07:25:45 2024  multiplying 4300610 relations
Tue Apr 23 07:26:47 2024  multiply complete, coefficients have about 125.49 million bits
Tue Apr 23 07:26:47 2024  initial square root is modulo 1017546641
Tue Apr 23 07:28:00 2024  GCD is 1, no factor found
Tue Apr 23 07:28:00 2024  reading relations for dependency 35
Tue Apr 23 07:28:00 2024  read 1227670 cycles
Tue Apr 23 07:28:02 2024  cycles contain 4302610 unique relations
Tue Apr 23 07:28:17 2024  read 4302610 relations
Tue Apr 23 07:28:28 2024  multiplying 4302610 relations
Tue Apr 23 07:29:30 2024  multiply complete, coefficients have about 125.56 million bits
Tue Apr 23 07:29:30 2024  initial square root is modulo 1028239411
Tue Apr 23 07:30:43 2024  GCD is N, no factor found
Tue Apr 23 07:30:43 2024  reading relations for dependency 36
Tue Apr 23 07:30:43 2024  read 1226247 cycles
Tue Apr 23 07:30:45 2024  cycles contain 4300690 unique relations
Tue Apr 23 07:31:00 2024  read 4300690 relations
Tue Apr 23 07:31:11 2024  multiplying 4300690 relations
Tue Apr 23 07:32:14 2024  multiply complete, coefficients have about 125.50 million bits
Tue Apr 23 07:32:15 2024  initial square root is modulo 1018471481
Tue Apr 23 07:33:27 2024  found factor: 23230795649419951328112868875716055347469043202233781790982274147
Tue Apr 23 07:33:27 2024  reading relations for dependency 37
Tue Apr 23 07:33:27 2024  read 1225964 cycles
Tue Apr 23 07:33:28 2024  cycles contain 4299962 unique relations
Tue Apr 23 07:33:43 2024  read 4299962 relations
Tue Apr 23 07:33:54 2024  multiplying 4299962 relations
Tue Apr 23 07:34:56 2024  multiply complete, coefficients have about 125.48 million bits
Tue Apr 23 07:34:56 2024  initial square root is modulo 1015063211
Tue Apr 23 07:36:09 2024  GCD is 1, no factor found
Tue Apr 23 07:36:09 2024  reading relations for dependency 38
Tue Apr 23 07:36:10 2024  read 1227901 cycles
Tue Apr 23 07:36:11 2024  cycles contain 4304318 unique relations
Tue Apr 23 07:36:26 2024  read 4304318 relations
Tue Apr 23 07:36:37 2024  multiplying 4304318 relations
Tue Apr 23 07:37:38 2024  multiply complete, coefficients have about 125.61 million bits
Tue Apr 23 07:37:39 2024  initial square root is modulo 1036698541
Tue Apr 23 07:38:51 2024  found factor: 23230795649419951328112868875716055347469043202233781790982274147
Tue Apr 23 07:38:51 2024  reading relations for dependency 39
Tue Apr 23 07:38:52 2024  read 0 cycles
Tue Apr 23 07:38:52 2024  reading relations for dependency 40
Tue Apr 23 07:38:52 2024  read 0 cycles
Tue Apr 23 07:38:52 2024  reading relations for dependency 41
Tue Apr 23 07:38:52 2024  read 0 cycles
Tue Apr 23 07:38:52 2024  reading relations for dependency 42
Tue Apr 23 07:38:52 2024  read 0 cycles
Tue Apr 23 07:38:52 2024  reading relations for dependency 43
Tue Apr 23 07:38:52 2024  read 0 cycles
Tue Apr 23 07:38:52 2024  reading relations for dependency 44
Tue Apr 23 07:38:52 2024  read 0 cycles
Tue Apr 23 07:38:52 2024  reading relations for dependency 45
Tue Apr 23 07:38:52 2024  read 0 cycles
Tue Apr 23 07:38:52 2024  reading relations for dependency 46
Tue Apr 23 07:38:52 2024  read 0 cycles
Tue Apr 23 07:38:52 2024  reading relations for dependency 47
Tue Apr 23 07:38:52 2024  read 0 cycles
Tue Apr 23 07:38:52 2024  reading relations for dependency 48
Tue Apr 23 07:38:53 2024  read 0 cycles
Tue Apr 23 07:38:53 2024  reading relations for dependency 49
Tue Apr 23 07:38:53 2024  read 0 cycles
Tue Apr 23 07:38:53 2024  reading relations for dependency 50
Tue Apr 23 07:38:53 2024  read 0 cycles
Tue Apr 23 07:38:53 2024  reading relations for dependency 51
Tue Apr 23 07:38:53 2024  read 0 cycles
Tue Apr 23 07:38:53 2024  reading relations for dependency 52
Tue Apr 23 07:38:53 2024  read 0 cycles
Tue Apr 23 07:38:53 2024  reading relations for dependency 53
Tue Apr 23 07:38:53 2024  read 0 cycles
Tue Apr 23 07:38:53 2024  reading relations for dependency 54
Tue Apr 23 07:38:53 2024  read 0 cycles
Tue Apr 23 07:38:53 2024  reading relations for dependency 55
Tue Apr 23 07:38:53 2024  read 0 cycles
Tue Apr 23 07:38:53 2024  reading relations for dependency 56
Tue Apr 23 07:38:53 2024  read 0 cycles
Tue Apr 23 07:38:53 2024  reading relations for dependency 57
Tue Apr 23 07:38:53 2024  read 0 cycles
Tue Apr 23 07:38:53 2024  reading relations for dependency 58
Tue Apr 23 07:38:54 2024  read 0 cycles
Tue Apr 23 07:38:54 2024  reading relations for dependency 59
Tue Apr 23 07:38:54 2024  read 0 cycles
Tue Apr 23 07:38:54 2024  reading relations for dependency 60
Tue Apr 23 07:38:54 2024  read 0 cycles
Tue Apr 23 07:38:54 2024  reading relations for dependency 61
Tue Apr 23 07:38:54 2024  read 0 cycles
Tue Apr 23 07:38:54 2024  reading relations for dependency 62
Tue Apr 23 07:38:54 2024  read 0 cycles
Tue Apr 23 07:38:54 2024  reading relations for dependency 63
Tue Apr 23 07:38:54 2024  read 0 cycles
Tue Apr 23 07:38:54 2024  reading relations for dependency 64
Tue Apr 23 07:38:54 2024  read 0 cycles
Tue Apr 23 07:38:54 2024  sqrtTime: 6199

yafu-git r598, GGNFS

Ryzen 7 3700X 3.6 GHz, Arch Linux (kernel 6.8.6-lqx2-2-lqx)

607399186174318294327785208409024934454052097103953048247709266241353604502771829005864281463181453710464910559857471645919720791993417821351430557032588560582986560659418461871<177>

57644018562323090951758279827941321892977565842103833<53>
10537072211882927358739931262119037092924902545156082868744654472874906922538281611766474222987680380198095784917295793914887<125>

Number: n
N=607399186174318294327785208409024934454052097103953048247709266241353604502771829005864281463181453710464910559857471645919720791993417821351430557032588560582986560659418461871  ( 177 digits)
SNFS difficulty: 204 digits.
Divisors found:

Thu Sep  7 10:46:22 2023  prp53 factor: 57644018562323090951758279827941321892977565842103833
Thu Sep  7 10:46:22 2023  prp125 factor: 10537072211882927358739931262119037092924902545156082868744654472874906922538281611766474222987680380198095784917295793914887
Thu Sep  7 10:46:22 2023  elapsed time 03:08:28 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.090).
Factorization parameters were as follows:
#
# N = 11x10^204-8 = 36(203)4
#
n: 607399186174318294327785208409024934454052097103953048247709266241353604502771829005864281463181453710464910559857471645919720791993417821351430557032588560582986560659418461871
m: 50000000000000000000000000000000000000000
deg: 5
c5: 22
c0: -5
skew: 0.74
# Murphy_E = 9.466e-12
type: snfs
lss: 1
rlim: 18200000
alim: 18200000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18200000/18200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3431608 hash collisions in 18193349 relations (15415801 unique)
Msieve: matrix is 2458162 x 2458387 (689.9 MB)

Sieving start time: 2023/09/06 14:08:52
Sieving end time  : 2023/09/07 07:37:32

Total sieving time: 17hrs 28min 40secs.

Total relation processing time: 3hrs 0min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 36sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,18200000,18200000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

11086327858408476742683026472095768759862473897080344357891296030084054729769596637068613987747808586058648863947386626917663735695891809504282653343945717323<158>

33853609401956751572259842736838822138679383824258072296165797<62>
327478459586872965811591759739651856596616088045064962343700945359768401246457235815023527494959<96>

Number: n
N=11086327858408476742683026472095768759862473897080344357891296030084054729769596637068613987747808586058648863947386626917663735695891809504282653343945717323  ( 158 digits)
SNFS difficulty: 206 digits.
Divisors found:

Wed May  8 06:38:29 2024  prp62 factor: 33853609401956751572259842736838822138679383824258072296165797
Wed May  8 06:38:29 2024  prp96 factor: 327478459586872965811591759739651856596616088045064962343700945359768401246457235815023527494959
Wed May  8 06:38:29 2024  elapsed time 02:06:06 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.948).
Factorization parameters were as follows:
#
# N = 11x10^205-8 = 36(204)4
#
n: 11086327858408476742683026472095768759862473897080344357891296030084054729769596637068613987747808586058648863947386626917663735695891809504282653343945717323
m: 100000000000000000000000000000000000000000
deg: 5
c5: 11
c0: -8
skew: 0.94
# Murphy_E = 1.07e-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 4058784 hash collisions in 21643253 relations (17956719 unique)
Msieve: matrix is 1989590 x 1989816 (558.6 MB)

Sieving start time: 2024/05/07 16:16:33
Sieving end time  : 2024/05/08 04:31:44

Total sieving time: 12hrs 15min 11secs.

Total relation processing time: 1hrs 56min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 53sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19000000,19000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

3194590988498303724023050068154010755207335131264138965837357694480914618869044014226032048674048387478355640142430326779713173<127>

1037856598952013260139912766731647650577333369074959388731683<61>
3078065882824347750583943433097178042306131376188929513388215757031<67>

3194590988498303724023050068154010755207335131264138965837357694480914618869044014226032048674048387478355640142430326779713173=1037856598952013260139912766731647650577333369074959388731683*3078065882824347750583943433097178042306131376188929513388215757031

cado polynomial
n: 3194590988498303724023050068154010755207335131264138965837357694480914618869044014226032048674048387478355640142430326779713173
skew: 23873.95
c0: -12633798424766205101103574710
c1: -658428641938704678115939
c2: -64471714169444069494
c3: 2420523250738575
c4: 85477471176
c5: -2550240
Y0: -1594677931607082060529906
Y1: 1313600088519556147
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.106e-07
# f(x) = -2550240*x^5+85477471176*x^4+2420523250738575*x^3-64471714169444069494*x^2-658428641938704678115939*x-12633798424766205101103574710
# g(x) = 1313600088519556147*x-1594677931607082060529906

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

cado log (extracts)
Info:Square Root: Factors: 1037856598952013260139912766731647650577333369074959388731683 3078065882824347750583943433097178042306131376188929513388215757031
Info:Square Root: Total cpu/real time for sqrt: 308.38/93.09
Info:Generate Free Relations: Total cpu/real time for freerel: 127.17/33.0246
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.52/61.8413
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 61.2s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20211/37.680/45.094/49.500/0.848
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15956/36.460/40.476/45.900/1.043
Info:Polynomial Selection (size optimized): Total time: 1942.86
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 221.27/221.733
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 179.1s
Info:Quadratic Characters: Total cpu/real time for characters: 30.26/12.0386
Info:Generate Factor Base: Total cpu/real time for makefb: 8.58/2.28201
Info:Square Root: Total cpu/real time for sqrt: 308.38/93.09
Info:Filtering - Singleton removal: Total cpu/real time for purge: 163.77/187.178
Info:Linear Algebra: Total cpu/real time for bwc: 10295.2/2646.08
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6482.67, WCT time 1658.75, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25856 iterations)
Info:Linear Algebra: Lingen CPU time 145.24, WCT time 36.9
Info:Linear Algebra: Mksol: CPU time 3537.04,  WCT time 903.4, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13056 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2871.65
Info:Polynomial Selection (root optimized): Rootsieve time: 2869.33
Info:Filtering - Merging: Merged matrix has 823718 rows and total weight 140591410 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 175.07/50.4091
Info:Filtering - Merging: Total cpu/real time for replay: 30.72/25.3867
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12501603
Info:Lattice Sieving: Average J: 3807.5 for 280723 special-q, max bucket fill -bkmult 1.0,1s:1.193270
Info:Lattice Sieving: Total time: 79638s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 166622/32828.2
1037856598952013260139912766731647650577333369074959388731683 3078065882824347750583943433097178042306131376188929513388215757031

cado-nfs-3.0.0

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

1455959117576879379404646512128567084680539445567493757628663644152354498306470026246795044002362332144183007472790866656304787320225324978753200224208173258192799<163>

68407960199004975124378109452736318407960199004975124378109452736318407960199004975124378109452736318407960199004975124378109452736318407960199004975124378109452736318407960199004975124378109452736318407960199<209>

8175153040351306838346069627213615916565160993734741076850184285786227061040805785891731127005194105780059131030580007190567336000633083851444805201561519631931422416578806067354818348991278271091285423607<205>

120510397879314207456771690961203142654268266340189354405579417096151229920115445524282394672177555839424265018101375388219829480046263648247019281799811517362877270130080770245199773828704753<192>

5570612678765503255932315821107417272446439589303256273812423871811118825871475263547263744237916383124118758153951612464124062726057380450308226674381647801780616518209371137950633338626395535531<196>

55469894120606732030069025779949231637626741048977300494956831313516916573114623478368975529314411706349371865788596920069170715703283049943339913043918161178916417251285087656395909640863106321593459<200>

57560834998690077504715622086452687335243362368007119516272389022936421533087372502363789774335350893918652808354016424332298286279089987577616784017297070728654703<164>

11220687585782156593304587155813568806194733523358737786077550374562872613533161130461016842374473759952851894839552736048380667089870199902057678251230950230660614513400397954946042365562493884725265748724656649<212>

38370830989033844412014907017433629233<38>

292427536661610546264870398309297027542062187890561263193550610027626982292491343097970047806946072306907005374674619127450044695742508169118768585424039887623415566251448153<174>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2008583005
Step 1 took 7610ms
Step 2 took 3515ms
********** Factor found in step 2: 38370830989033844412014907017433629233
Found prime factor of 38 digits: 38370830989033844412014907017433629233
Composite cofactor 292427536661610546264870398309297027542062187890561263193550610027626982292491343097970047806946072306907005374674619127450044695742508169118768585424039887623415566251448153 has 174 digits
 

GMP-ECM

1234592375151991154295535793231652364989276616484703634116453585044173730972252364989977505799644466331030381582498551216696459045852385550038141726292550320241780450231860093872169164887597956011312770481601<208>

84282569879153744041138564269689058537834368803947287<53>
14648252621178704445113152701194719363713326549782426380425475559902598252046837562210670505863602404824103966479405046501304264517249796614618760681762023<155>

Number: 36664_219
N = 1234592375151991154295535793231652364989276616484703634116453585044173730972252364989977505799644466331030381582498551216696459045852385550038141726292550320241780450231860093872169164887597956011312770481601 (208 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=84282569879153744041138564269689058537834368803947287 (pp53)
r2=14648252621178704445113152701194719363713326549782426380425475559902598252046837562210670505863602404824103966479405046501304264517249796614618760681762023 (pp155)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 55.62 hours.
Factorization parameters were as follows:
n: 1234592375151991154295535793231652364989276616484703634116453585044173730972252364989977505799644466331030381582498551216696459045852385550038141726292550320241780450231860093872169164887597956011312770481601
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 11
c0: -80
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30958400
Relations: 7612216 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 19.12 hours.
Total relation processing time: 0.40 hours.
Pruned matrix : 6552971 x 6553196
Matrix solve time: 35.99 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 55.62 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

1386216071167779085837017350928801663694789853313339812143763148004021375751430781530850869051530291887440200015943250160059384511787872332720115631096356819525926494333110990126549548895767114064018338573369<208>

134775250102537377869133759887029806831693808465189549525312664641662669281035971027055589679759350462449799609429570495949090517567567010266588710607480294105733219642896872252893807375936067839535352613<204>

3288297347525259523122451145018539549903<40>

40986333004212017247600624393962511829748432375846271539136246976794824864747354824101992856132844278021844831375756712725331135382083868155941612150761139616986571<164>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3417144401
Step 1 took 6531ms
Step 2 took 2985ms
********** Factor found in step 2: 3288297347525259523122451145018539549903
Found prime factor of 40 digits: 3288297347525259523122451145018539549903
Composite cofactor 40986333004212017247600624393962511829748432375846271539136246976794824864747354824101992856132844278021844831375756712725331135382083868155941612150761139616986571 has 164 digits

GMP-ECM

1590965567958081634581282082786928522542562451911768336108348093165177878852406676996588748239344059702396302319515029485803751117384730642866609495972280967701725103011049<172>

654004194188352256647417539583901127883742311883422682197244811130723309613195759389240941328451370388497516924439447059668488841261528904845005762371500066827337660700721497427028590209533431029668959724281344518469791903<222>

5976759431767829166000393886097263288140573670859034333152231668641038850933188349908781916637437279472721841416474728112490056018784366490462572470714135265117838260210101958111006748580984015619947530267839733<211>

4237554018260354405454070509804332899364931009170662648792130132307362775202489376219230408776762002650054460883834386078077794475943082481008482203513719146196135921716166431854296454648839319716713197290357072307<214>

190583115029037936435333416496874436913523777842460531969451259234618210043383647275700999348552261355288508184678503610683742913773268465771272540784786616214118397161351130331129499494088458286553841462569476208296949284100517<228>

45833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<233>

335507377530265446686630378157738106286081012536530598923787016415671519392640183608077965473065607431218021270672632305725865938730681000844571883711902883210701286274772603694204988585158995351500450069474562649209<216>

152380641279637489329890901160968645633755063429128061923604222798939445450616704358338580858409930975473490544530445520921739541611076959611450640009845578145430702832465511023779433429573550280248929864079<207>

3045098424773412229417113729542586070405052264618644139402628743593500736360634368820529253748371416364948348228542054756587440041141095638335103575864456092928196485186087711825199149466609<190>

160337124064631950328443340298992363697984611390215698774218745007403084978092838748463082061834616183889521877106820226141471155692628547376846055376441<153>

164471941677779014731279482369794411981009455332286618057280029939175434844325940133955488863153499506831055058149098133171044864545778300667579317508057589230165854659325666749682848036004639209912030992841691498391004461<222>

4750337024344572784660252072109316757825407270641522419860246532028583848774338120654769890364544379423933524178695884055441156595137891860029942664565220131854791258135663932429620673503787769611821050782320441393284395774353<226>

11722080136402387041773231031543052003410059676044330775788576300085251491901108269394714407502131287297527706734867860187553282182438192668371696504688832054560954816709292412617220801364023870417732310315430520034100596760443307757885763<239>

141327896989400038959669000414188276733613112445617839915089474901881665727943952362092698932739066368076617172282896093879003952283554424490010298118645859133223395130257604447917358810907764860840127<201>

144764066520356838629351259716389398893<39>
976263657041759028187907323450114738226298072709859791165967964649298506417326816112280227150953557056957549288559610762033240041334739505043106306826537740258139<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:743273276
Step 1 took 8813ms
Step 2 took 3750ms
********** Factor found in step 2: 144764066520356838629351259716389398893
Found prime factor of 39 digits: 144764066520356838629351259716389398893
Prime cofactor 976263657041759028187907323450114738226298072709859791165967964649298506417326816112280227150953557056957549288559610762033240041334739505043106306826537740258139 has 162 digits
 

GMP-ECM

296623603692977177935625220457648673110102294456408321280419538092271333946116966246524677395228118503007700380559659244680972534135829119501055802205547130810661445131580070262358815460386127<192>

83076141617010923695970988216850102317987654313107796328350524349092316473609672782558629576921140210838242335451762691566467256157306001317117997784792291156922771813860304771380170508457501201<194>

2196134802747164989618271841558856412713624021721769685353777351860725123782143427567481233029867433317361443858808497045200447212905286695416067720811371985305861683437150614917744769206197093116115636479795559814726082095511899057658521003034659<247>

733443563275693901151333267242879698011892997849688246306457478748342785091701776779792618907492694257547141119486880919699705642760960697354308350197248944528164623904571195005094463300064032696858959368721106796981457631<222>

17861876888996785445252223034916368421868733724102512718361981500973317821394976902391232255707673430386125592859591300982820557799492775202315939964002506762862507961018547680713511409719409297516321551<203>

666644295247166024172808015733166812924340329023801222082266642260217630166153031744594115078419693068281274924668818629478205745265034945732653851121909965692592608011956539715621194737399413922642726361113024121110113877617<225>

968282337921694694503548729412749893501<39>

688481312876201366492524841995774373380097991452953407150036274868617712769918814705244638910869777769485446873267325580905714849478172869621261912644134131551078189179778045328873338117<186>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 666644295247166024172808015733166812924340329023801222082266642260217630166153031744594115078419693068281274924668818629478205745265034945732653851121909965692592608011956539715621194737399413922642726361113024121110113877617 (225 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:184647179
Step 1 took 10893ms
Step 2 took 4777ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1872522679
Step 1 took 10612ms
Step 2 took 4835ms
Run 3 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2292295477
Step 1 took 10592ms
Step 2 took 4744ms
Run 4 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3049638373
Step 1 took 10614ms
Step 2 took 4742ms
Run 5 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3294529226
Step 1 took 10587ms
Step 2 took 4760ms
** Factor found in step 2: 968282337921694694503548729412749893501
Found prime factor of 39 digits: 968282337921694694503548729412749893501
Composite cofactor 688481312876201366492524841995774373380097991452953407150036274868617712769918814705244638910869777769485446873267325580905714849478172869621261912644134131551078189179778045328873338117 has 186 digits

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

8487947747710946745311634500335368463698972773017919971117175627821579618314996719714524879485384458159906359895135183733385123857722851744349289484049079522445577005246240950088866521865604931256510490629726626395802685802817<226>

1578262203921229999005821592227375669207393930357055456955243141076960436782533049807616102878493835668611015045725080933795334394153895172757272249081855518557654967311988824744556349385119435629536614349668714534534355250505885963<232>

186071970890946901449888132212092056229134388340314051169999219268397494115328659184648228720732832479786696104602165237466167833734048725422650036999654444913182622199869504729376235482339810492800666759783440935897413587384636021181<234>

458333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<264>

99390856766403572649469654736037126312354212971639555793918387529760057938829022919894938806158756699011461991691850383729356298476300704814223811997497<152>

344064712255917347744319681578032963368186357710830586585204916742420741522946120153305109680865723680237295395881598110614272237318286306761115903741674106541595765871944640390246509390090279682208729579172663<210>

105033349256153217836693084038851197258193006066147191778427580068959331915047249706167715484746864076743063388848027443082798117858357646913270696943413009250407096982268281485359715869063304842537496547400296507536271318827645531520276892039<243>

28742659933514184300707570326200254204161811978731877712822393541852229376572686650769854377056840235988610673383559705455600900494370241887<140>

380634359302521843104388403182886273899060082240798786089723667<63>
75512520693566702849942933504555434756966012793973457212561541187968514694661<77>

n: 287426......241887
skew: 290171.808
c0: 1077483079034068877122767991696800
c1: 37781942199702914037790622865
c2: -35046481447683669997976
c3: -785564208081606059
c4: 208482518022
c5: 166320
Y0: -130634478030161518820529074
Y1: 2248158425225373336187
# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=8.389e+13) = 1.149e-06
# f(x) = 166320*x^5+208482518022*x^4-785564208081606059*
 x^3-35046481447683669997976*x^2+37781942199702914037790622865*
        x+1077483079034068877122767991696800
# g(x) = 2248158425225373336187*x-130634478030161518820529074
Factors: 
        380634359302521843104388403182886273899060082240798786089723667 
        75512520693566702849942933504555434756966012793973457212561541187968514694661
Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 928146/132859, (36.9 hours).

CADO-NFS v3.0.0.

Ubuntu 20.04.4, Intel Xeon E5-1620.

22055010489362988741037445237408954911698956004023475513564954251492242009710299818218593544763089889325551363232228353247804804655965094376998885700670039238670661911766805236292570380746473083022598285547744606507334854888456984950142042287555311961306368797309<263>

715198616091683902558958805515487757<36>

30837602301142703856277531921044155469674734350359959875078899723975432166789246577608703002356880349830009148680927144814219577718916150568316576658030094228681750918620904468323920622770761601813035679134170941700551055717937<227>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 22055010489362988741037445237408954911698956004023475513564954251492242009710299818218593544763089889325551363232228353247804804655965094376998885700670039238670661911766805236292570380746473083022598285547744606507334854888456984950142042287555311961306368797309 (263 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2310371352
Step 1 took 13890ms
Step 2 took 5716ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:664357410
Step 1 took 13937ms
Step 2 took 5790ms
** Factor found in step 2: 715198616091683902558958805515487757
Found prime factor of 36 digits: 715198616091683902558958805515487757
Composite cofactor 30837602301142703856277531921044155469674734350359959875078899723975432166789246577608703002356880349830009148680927144814219577718916150568316576658030094228681750918620904468323920622770761601813035679134170941700551055717937 has 227 digits

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

30837602301142703856277531921044155469674734350359959875078899723975432166789246577608703002356880349830009148680927144814219577718916150568316576658030094228681750918620904468323920622770761601813035679134170941700551055717937<227>

1240986819120987354993644614237535825814173<43>

24849258530389159430010422233828507370857108205558086743840427265029415135333269483902879552899177957315362739751494065688676001335420620592809208547938384270778867617943713285845980069<185>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2029402401
Step 1 took 7485ms
Step 2 took 3375ms
********** Factor found in step 2: 1240986819120987354993644614237535825814173
Found prime factor of 43 digits: 1240986819120987354993644614237535825814173
Composite cofactor 24849258530389159430010422233828507370857108205558086743840427265029415135333269483902879552899177957315362739751494065688676001335420620592809208547938384270778867617943713285845980069 has 185 digits

GMP-ECM

6367231987290717407772033797135195274588188061671574468239429158126645163078816680504744142731018174076327289994856560469726664724903233153859064643590685544677305740473477573670308577898700331394170489955883662454869041861454613666283<235>

26960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549<272>

53090985536124738105156441722168647549177289234303983570055218306430377059850354539214958881194899594527689689653286446374197421161110363830383705404003393445416447958030891120374804374846345742033883172354754547465880854133380935838000565775992157<248>

35313043363621705810947728030420387033417061615892028146505571169275033369920035436996407257807934799204608844311549821862481949377257832970690897237678825347783161614356004221612676117673678763<194>

7513661202185792349726775956284153005464480874316939890710382513661202185792349726775956284153005464480874316939890710382513661202185792349726775956284153005464480874316939890710382513661202185792349726775956284153005464480874316939890710382513661202185792349726775956284153<274>

3342978817806895748139941015813517265197635041576520456532440513821501550682417420604217663999887457464223805813800525564090997137561453207017987724491483629886731615980177541989680598696568636492403405562283322230718016423118727142028872497264467626393949911607791<265>

2382887893566931035235997341275315691245767667626974975312774100190719748143406210955439753306938122884781125022867999365152498103588484292481326762678913953317144697090537693<175>

52312294534406663782079887044183320429443813<44>

45551201964571944829744633148991232916879374022641316045226048036147057344662431113701389397182225288045198586340569780510281092761<131>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:373503634
Step 1 took 31343ms
Step 2 took 13547ms
********** Factor found in step 2: 52312294534406663782079887044183320429443813
Found prime factor of 44 digits: 52312294534406663782079887044183320429443813
Composite cofactor 45551201964571944829744633148991232916879374022641316045226048036147057344662431113701389397182225288045198586340569780510281092761 has 131 digits
 

GMP-ECM

45551201964571944829744633148991232916879374022641316045226048036147057344662431113701389397182225288045198586340569780510281092761<131>

13947636980964094779374791634414193138827376587580446907739<59>
3265872350043292734663890898289804486119739345553252350728345619852329499<73>

45551201964571944829744633148991232916879374022641316045226048036147057344662431113701389397182225288045198586340569780510281092761=13947636980964094779374791634414193138827376587580446907739*3265872350043292734663890898289804486119739345553252350728345619852329499

cado polynomial
n: 45551201964571944829744633148991232916879374022641316045226048036147057344662431113701389397182225288045198586340569780510281092761
skew: 22397.892
c0: 499790120510871089432148882
c1: -1354487812986562926254551
c2: -67892112616039047321
c3: 4619334732538264
c4: 23408834076
c5: 841680
Y0: -12655964257618526938207413
Y1: 29206385243000669
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.521e-07
# f(x) = 841680*x^5+23408834076*x^4+4619334732538264*x^3-67892112616039047321*x^2-1354487812986562926254551*x+499790120510871089432148882
# g(x) = 29206385243000669*x-12655964257618526938207413

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

cado log (extracts)
Info:Square Root: Factors: 13947636980964094779374791634414193138827376587580446907739 3265872350043292734663890898289804486119739345553252350728345619852329499
Info:Square Root: Total cpu/real time for sqrt: 783.12/235.345
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 104.03/121.019
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 120.7s
Info:Quadratic Characters: Total cpu/real time for characters: 70.05/29.6046
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38645/38.890/46.665/51.030/0.845
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30605/37.500/41.938/47.490/1.038
Info:Polynomial Selection (size optimized): Total time: 4890.49
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 344.03/312.553
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 273.5s
Info:Linear Algebra: Total cpu/real time for bwc: 52218.8/13418.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 33399.35, WCT time 8529.45, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (56064 iterations)
Info:Linear Algebra: Lingen CPU time 350.22, WCT time 88.95
Info:Linear Algebra: Mksol: CPU time 18139.5,  WCT time 4671.22, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (28160 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 39.7/10.5326
Info:Filtering - Singleton removal: Total cpu/real time for purge: 207.8/232.757
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5698.28
Info:Polynomial Selection (root optimized): Rootsieve time: 5695.72
Info:Filtering - Merging: Merged matrix has 1793149 rows and total weight 305202483 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 462.06/130.14
Info:Filtering - Merging: Total cpu/real time for replay: 71.46/61.6987
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24174288
Info:Lattice Sieving: Average J: 7578.95 for 69922 special-q, max bucket fill -bkmult 1.0,1s:1.072710
Info:Lattice Sieving: Total time: 95802.1s
Info:Square Root: Total cpu/real time for sqrt: 783.12/235.345
Info:Generate Free Relations: Total cpu/real time for freerel: 254.08/64.1462
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 245394/63004.4
13947636980964094779374791634414193138827376587580446907739 3265872350043292734663890898289804486119739345553252350728345619852329499

cado-nfs-3.0.0

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

77047814124381930223276377210216048608616624556215855643363232808601976586871404263292661302129184469666424270052982863904254138902307096496589949239865877630274222243427067302374103704487638847435557228960149044957293664487938420344343812518374505737640831157540059<266>

747532676139713954264482138646655426940709240076699114590107162354386474098233883567821928990372066098956860979619296076565483836500454404498357904813439833082102395322787073464583808698673968927374618368558405459204135697321647829209<234>

6503872670596251761784245131633913<34>

114936548422800355157320019579241125132372961149962619388748989891544703208241053990605517319722611640468977047085275409617339685368428907499944771021058856639734360064664538133925110800007640862868193<201>

Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Thu Nov 16 02:50:40 2023
Input number is 747532676139713954264482138646655426940709240076699114590107162354386474098233883567821928990372066098956860979619296076565483836500454404498357904813439833082102395322787073464583808698673968927374618368558405459204135697321647829209 (234 digits)
Using mpz_mod
Using lmax = 33554432 with NTT which takes about 11136MB of memory
Using B1=4000000000-4000000000, B2=8344907294582686, polynomial x^1
P = 240705465, l = 33554432, s_1 = 16220160, k = s_2 = 5, m_1 = 3
Probability of finding a factor of n digits (assuming one exists):
20 25      30      35      40      45      50      55      60      65
0.81    0.53    0.28    0.12    0.045   0.015   0.0045  0.0012  0.00031 7.3e-05
Step 1 took 0ms
Computing F from factored S_1 took 202530ms
Computing h took 25820ms
Computing DCT-I of h took 60285ms
Multi-point evaluation 1 of 5:
Computing g_i took 85806ms
Computing g*h took 123777ms
Computing gcd of coefficients and N took 31799ms
Step 2 took 531530ms
********** Factor found in step 2: 6503872670596251761784245131633913
Found prime factor of 34 digits: 6503872670596251761784245131633913
Composite cofactor 114936548422800355157320019579241125132372961149962619388748989891544703208241053990605517319722611640468977047085275409617339685368428907499944771021058856639734360064664538133925110800007640862868193 has 201 digits

GMP-ECM 7.0.6, ecm-db 0.1

1080 Ti for PM1 stage1

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68456905991828336805362795477640217712660609987932924857017122394908018949972549075500693694890802015501892656402646053423664614281007611670109403788954660872442407097587572373911294007066185234233453142653342391341690953554473663878953773121224469499<251>

456191742535503680669099234946744586559653644983064614428445107545468201851037494459743224028747349552845946436561125737964580244039993878222417700128879444937224152625334852303271747595037512143261<198>

1556535572889211252640648553245715090021840726270159978461969104292137338967780232548722921328724909323593690493397382341240807013729763719646608526145493997420806253226555282139703336178370907296361626300373059676125758022580667733682616301722737294509682090111<262>

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562350411083344549711908100181604560183811625031262331968793289572614934152426001626478675789408796853683535301596652325357686208381070408306964870953303829103265179465362086216333279772488554410002865868765702489574395343284414299837<234>

4583333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<298>