15884382797400217408617288114267342403982488047278118455678931323134802604286277<80>

107895757269624081094750853736087848933<39>
147219716505684617669834301023565423910369<42>

P42 = 147219716505684617669834301023565423910369
P39 = 107895757269624081094750853736087848933

215014175333938907107587139150184448243809065623930553690277528623554927937150727139754259114425258814999<105>

1003423546617344682216272029253808526455496453926281<52>
214280575793518336611983160515501809569899059651294879<54>

N=215014175333938907107587139150184448243809065623930553690277528623554927937150727139754259114425258814999
  ( 105 digits)
SNFS difficulty: 117 digits.
Divisors found:
p52 factor: 1003423546617344682216272029253808526455496453926281
p54 factor: 214280575793518336611983160515501809569899059651294879
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.76 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 215014175333938907107587139150184448243809065623930553690277528623554927937150727139754259114425258814999
m: 100000000000000000000000000000
deg: 4
c4: 35
c0: -62
skew: 1.15
# Murphy_E = 5.519e-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, 620001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 52141 x 52366
Total sieving time: 0.75 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,117.000,4,0,0,0,0,0,0,0,0,640000,640000,25,25,45,45,2.2,2.2,50000
total time: 0.76 hours.
 --------- CPU info (if available) ----------

1115446408126670045983817301733545077250490107079545092592025271531804955192434897394994758151663<97>

5354141864975473896110197630318278668755357<43>
208333368120752932610996352304149260953257880668900859<54>

N=1115446408126670045983817301733545077250490107079545092592025271531804955192434897394994758151663
  ( 97 digits)
SNFS difficulty: 122 digits.
Divisors found:
p43 factor: 5354141864975473896110197630318278668755357
p54 factor: 208333368120752932610996352304149260953257880668900859
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: 1115446408126670045983817301733545077250490107079545092592025271531804955192434897394994758151663
m: 1000000000000000000000000000000
deg: 4
c4: 175
c0: -31
skew: 0.65
# Murphy_E = 3.624e-08
type: snfs
lss: 1
rlim: 760000
alim: 760000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 760000/760000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [380000, 680001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 64036 x 64261
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,122.000,4,0,0,0,0,0,0,0,0,760000,760000,25,25,46,46,2.2,2.2,75000
total time: 0.62 hours.
 --------- CPU info (if available) ----------

63754803312656554152658143396965572399007484201064625458912697075725544894510672253327881<89>

1412537375654498906858534068273015087735261<43>
45134949638494187775490691052415002350851003421<47>

PRP47 = 45134949638494187775490691052415002350851003421
PRP43 = 1412537375654498906858534068273015087735261

103242278578450138550362064059065320748301453657043322305861752810457862111649440259<84>

31597411415655575601791458325305267077211<41>
3267428373176692146074215631689631529915769<43>

P41 = 31597411415655575601791458325305267077211
P43 = 3267428373176692146074215631689631529915769

25687937634795313150627368644452030048030294872769478861857017561437001710338210794536905480637176536647209<107>

6898021227915372031964731577619499552162657<43>
3723957463459180891898770404744562798716516389261470451686817737<64>

CADO


STA:Thu 28 Jul 2022 12:12:58 AEST (25687937634795313150627368644452030048030294872769478861857017561437001710338210794536905480637176536647209 - C107)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 25687937634795313150627368644452030048030294872769478861857017561437001710338210794536905480637176536647209 2>&1 | tee -a log184

Debug:root: Looking for parameter file for c107 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.0y6unj_n
Info:Database: Opened connection to database /tmp/cado.0y6unj_n/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 25687937634795313150627368644452030048030294872769478861857017561437001710338210794536905480637176536647209
Debug:root: Root parameter dictionary:
N = 25687937634795313150627368644452030048030294872769478861857017561437001710338210794536905480637176536647209
lim0 = 823116
lim1 = 1218966
lpb0 = 24
lpb1 = 24
name = c105
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 25687937634795313150627368644452030048030294872769478861857017561437001710338210794536905480637176536647209
skew: 867137.86
c0: -29109363424105721971281841410
c1: 30109110788388222527657
c2: 144946675848591425
c3: -44609218312
c4: -63600
Y0: -29979546881800680474528208
Y1: 183068739461621
# MurphyE (Bf=1.22e+06,Bg=8.23e+05,area=2.56e+12) = 3.29e-09
# f(x) = -63600*x^4-44609218312*x^3+144946675848591425*x^2+30109110788388222527657*x-29109363424105721971281841410
# g(x) = 183068739461621*x-29979546881800680474528208
===
Info:Square Root: finished
Info:Square Root: Factors: 3723957463459180891898770404744562798716516389261470451686817737 6898021227915372031964731577619499552162657
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): 11752/33.770/40.502/41.660/0.686
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11752/33.640/39.404/41.340/1.015
Info:Polynomial Selection (size optimized): Total time: 232.88
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 80.67
Info:Polynomial Selection (root optimized): Rootsieve time: 80.29
Info:Generate Factor Base: Total cpu/real time for makefb: 1.21/0.139991
Info:Generate Free Relations: Total cpu/real time for freerel: 13.17/0.898762
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2204047
Info:Lattice Sieving: Average J: 1009.33 for 309802 special-q, max bucket fill: 0.825284
Info:Lattice Sieving: Total CPU time: 21335.9s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 6.28/5.53721
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 4.999999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 36.96/19.9671
Info:Filtering - Singleton removal: Total cpu/real time for purge: 29.88/17.6214
Info:Filtering - Merging: Total cpu/real time for merge: 94.27/72.8599
Info:Filtering - Merging: Total cpu/real time for replay: 9.6/7.57101
Info:Linear Algebra: Total cpu/real time for bwc: 1999.96/0.000314236
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 78.71
Info:Linear Algebra: Lingen CPU time 57.56, WCT time 5.97
Info:Linear Algebra: Mksol: WCT time 47.98
Info:Quadratic Characters: Total cpu/real time for characters: 9.03/2.10916
Info:Square Root: Total cpu/real time for sqrt: 156.09/23.0641
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 24005.9/1818.7
Info:root: Cleaning up computation data in /tmp/cado.0y6unj_n
3723957463459180891898770404744562798716516389261470451686817737 6898021227915372031964731577619499552162657

END:Thu 28 Jul 2022 12:43:18 AEST (25687937634795313150627368644452030048030294872769478861857017561437001710338210794536905480637176536647209 - C107)

17745604489820462142186503869505111596022429227233682333601748276673646266421148623290933507017169734273262231259298062981077<125>

1296644944965147752838703654575288021889690737316031699<55>
13685785425475470093651305769788922633630695730170701676919382137348023<71>

N=17745604489820462142186503869505111596022429227233682333601748276673646266421148623290933507017169734273262231259298062981077
  ( 125 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=1296644944965147752838703654575288021889690737316031699 (pp55)
 r2=13685785425475470093651305769788922633630695730170701676919382137348023 (pp71)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 3.13 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 17745604489820462142186503869505111596022429227233682333601748276673646266421148623290933507017169734273262231259298062981077
m: 500000000000000000000000000000000
deg: 4
c4: 14
c0: -155
skew: 1.82
# Murphy_E = 1.061e-08
type: snfs
lss: 1
rlim: 1110000
alim: 1110000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1110000/1110000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [555000, 1255001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 126354 x 126579
Total sieving time: 3.10 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,131.000,4,0,0,0,0,0,0,0,0,1110000,1110000,26,26,47,47,2.3,2.3,100000
total time: 3.13 hours.
 --------- CPU info (if available) ----------

2818602007296470630175257055710606542489273574927200494000673566520824923054412286688506589678384478931<103>

14054482856748674175294362468946912463142191<44>
200548254676125333415745934019552984375689305237281902730141<60>

CADO


STA:Thu 28 Jul 2022 22:51:19 AEST (2818602007296470630175257055710606542489273574927200494000673566520824923054412286688506589678384478931 - C103)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 2818602007296470630175257055710606542489273574927200494000673566520824923054412286688506589678384478931 2>&1 | tee -a log193

Debug:root: Looking for parameter file for c103 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.60hbwfdv
Info:Database: Opened connection to database /tmp/cado.60hbwfdv/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 2818602007296470630175257055710606542489273574927200494000673566520824923054412286688506589678384478931
Debug:root: Root parameter dictionary:
N = 2818602007296470630175257055710606542489273574927200494000673566520824923054412286688506589678384478931
lim0 = 823116
lim1 = 1218966
lpb0 = 24
lpb1 = 24
name = c105
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 2818602007296470630175257055710606542489273574927200494000673566520824923054412286688506589678384478931
skew: 824637.068
c0: -2206595143591071389476083090
c1: 16082572926669465470345
c2: 15874779613665797
c3: -28066770046
c4: -6720
Y0: -5379131621387039630013349
Y1: 2511351715536761
# MurphyE (Bf=1.22e+06,Bg=8.23e+05,area=2.56e+12) = 6.4e-09
# f(x) = -6720*x^4-28066770046*x^3+15874779613665797*x^2+16082572926669465470345*x-2206595143591071389476083090
# g(x) = 2511351715536761*x-5379131621387039630013349
===
Info:Square Root: finished
Info:Square Root: Factors: 14054482856748674175294362468946912463142191 200548254676125333415745934019552984375689305237281902730141
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): 11480/34.210/38.990/43.310/0.688
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11480/33.520/37.832/39.810/1.025
Info:Polynomial Selection (size optimized): Total time: 231.04
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 77.49
Info:Polynomial Selection (root optimized): Rootsieve time: 77.13
Info:Generate Factor Base: Total cpu/real time for makefb: 1.15/0.131166
Info:Generate Free Relations: Total cpu/real time for freerel: 12.93/0.835334
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 1921735
Info:Lattice Sieving: Average J: 1022.39 for 145489 special-q, max bucket fill: 0.809008
Info:Lattice Sieving: Total CPU time: 10869.3s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 4.82/4.55606
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: 28.18/14.122
Info:Filtering - Singleton removal: Total cpu/real time for purge: 20.66/11.9938
Info:Filtering - Merging: Total cpu/real time for merge: 75.45/58.8389
Info:Filtering - Merging: Total cpu/real time for replay: 8.32/6.33342
Info:Linear Algebra: Total cpu/real time for bwc: 1422.83/0.000170708
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 57.18
Info:Linear Algebra: Lingen CPU time 48.87, WCT time 5.0
Info:Linear Algebra: Mksol: WCT time 32.43
Info:Quadratic Characters: Total cpu/real time for characters: 7.52/1.70917
Info:Square Root: Total cpu/real time for sqrt: 116.7/17.0634
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 12876.4/1014.63
Info:root: Cleaning up computation data in /tmp/cado.60hbwfdv
14054482856748674175294362468946912463142191 200548254676125333415745934019552984375689305237281902730141

END:Thu 28 Jul 2022 23:08:14 AEST (2818602007296470630175257055710606542489273574927200494000673566520824923054412286688506589678384478931 - C103)

7484422989659241839626993738015893819588974651954449262977634861879530138423298208100596076943147574581902756261<112>

3629827780322845176969642300936833784428149313<46>
2061922339740746641416616595605276859614402134367836715689006583397<67>

CADO


STA:Thu 28 Jul 2022 15:31:09 AEST (7484422989659241839626993738015893819588974651954449262977634861879530138423298208100596076943147574581902756261 - C112)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 7484422989659241839626993738015893819588974651954449262977634861879530138423298208100596076943147574581902756261 2>&1 | tee -a log188

Debug:root: Looking for parameter file for c112 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.c110
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c110
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.9sol2xji
Info:Database: Opened connection to database /tmp/cado.9sol2xji/c110.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 7484422989659241839626993738015893819588974651954449262977634861879530138423298208100596076943147574581902756261
Debug:root: Root parameter dictionary:
N = 7484422989659241839626993738015893819588974651954449262977634861879530138423298208100596076943147574581902756261
lim0 = 2910696
lim1 = 3533488
lpb0 = 25
lpb1 = 25
name = c110
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 7484422989659241839626993738015893819588974651954449262977634861879530138423298208100596076943147574581902756261
skew: 14228.618
c0: -7287423458308145089022500
c1: 1223187182909642070075
c2: 49660144523269868
c3: -23180459482737
c4: -202873711
c5: 19320
Y0: -3299246488854166061631
Y1: 2592663439012799
# MurphyE (Bf=3.53e+06,Bg=2.91e+06,area=2.96e+13) = 3.53e-09
# f(x) = 19320*x^5-202873711*x^4-23180459482737*x^3+49660144523269868*x^2+1223187182909642070075*x-7287423458308145089022500
# g(x) = 2592663439012799*x-3299246488854166061631
===
Info:Square Root: finished
Info:Square Root: Factors: 2061922339740746641416616595605276859614402134367836715689006583397 3629827780322845176969642300936833784428149313
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 27840.2
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 27928/32.170/39.551/45.710/0.907
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 27928/32.170/35.972/40.380/1.275
Info:Polynomial Selection (size optimized): Total time: 948.47
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 270.64
Info:Polynomial Selection (root optimized): Rootsieve time: 269.74
Info:Generate Factor Base: Total cpu/real time for makefb: 4.55/0.449707
Info:Generate Free Relations: Total cpu/real time for freerel: 36.19/2.43587
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4117986
Info:Lattice Sieving: Average J: 1893.74 for 151289 special-q, max bucket fill: 0.756079
Info:Lattice Sieving: Total CPU time: 35938.3s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 10.12/10.9824
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 10.399999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 74.56/41.2417
Info:Filtering - Singleton removal: Total cpu/real time for purge: 58.81/33.4006
Info:Filtering - Merging: Total cpu/real time for merge: 134.38/111.298
Info:Filtering - Merging: Total cpu/real time for replay: 13.23/10.255
Info:Linear Algebra: Total cpu/real time for bwc: 3294.92/0.000275135
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 136.76
Info:Linear Algebra: Lingen CPU time 76.62, WCT time 7.82
Info:Linear Algebra: Mksol: WCT time 75.56
Info:Quadratic Characters: Total cpu/real time for characters: 12.73/2.94637
Info:Square Root: Total cpu/real time for sqrt: 265.22/37.6197
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 41062.1/2975.82
Info:root: Cleaning up computation data in /tmp/cado.9sol2xji
2061922339740746641416616595605276859614402134367836715689006583397 3629827780322845176969642300936833784428149313

END:Thu 28 Jul 2022 16:20:46 AEST (7484422989659241839626993738015893819588974651954449262977634861879530138423298208100596076943147574581902756261 - C112)

11647985200055840859045336594510723885375306201891323504542855278466559068371432391430863786156493379195546098190025855697748679<128>

249890054667042051550417654392010614113<39>
46612440081202204228221511390819567522519734826393800846579101549008006892543326863782183<89>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 11647985200055840859045336594510723885375306201891323504542855278466559068371432391430863786156493379195546098190025855697748679 (128 digits)
Using B1=12360000, B2=35135015380, polynomial Dickson(12), sigma=1:401364632
Step 1 took 18492ms
Step 2 took 8740ms
********** Factor found in step 2: 249890054667042051550417654392010614113
Found prime factor of 39 digits: 249890054667042051550417654392010614113
Prime cofactor 46612440081202204228221511390819567522519734826393800846579101549008006892543326863782183 has 89 digits

8722853634680499765922048256276095171486516601865860551255897258597594789836971947588371862829061047027089293544890221807118265937<130>

56171409926366301879693445753398233331127<41>
155289917880200456072580762127770032567364431753702067841386091788319191704995175512063031<90>

Number: n
N=8722853634680499765922048256276095171486516601865860551255897258597594789836971947588371862829061047027089293544890221807118265937  ( 130 digits)
SNFS difficulty: 140 digits.
Divisors found:

Fri Jul 29 02:10:49 2022  p41 factor: 56171409926366301879693445753398233331127
Fri Jul 29 02:10:49 2022  p90 factor: 155289917880200456072580762127770032567364431753702067841386091788319191704995175512063031
Fri Jul 29 02:10:49 2022  elapsed time 00:02:37 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 35x10^139-62 = 38(138)2
#
n: 8722853634680499765922048256276095171486516601865860551255897258597594789836971947588371862829061047027089293544890221807118265937
m: 50000000000000000000000000000000000
deg: 4
c4: 28
c0: -31
skew: 1.03
# Murphy_E = 3.99e-09
type: snfs
lss: 1
rlim: 1520000
alim: 1520000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1520000/1520000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6360000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 379072 hash collisions in 5928633 relations (6222646 unique)
Msieve: matrix is 227662 x 227887 (76.8 MB)

Sieving start time : 2022/07/29 01:52:36
Sieving end time  : 2022/07/29 02:08:02

Total sieving time: 0hrs 15min 26secs.

Total relation processing time: 0hrs 1min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 7sec.

Prototype def-par.txt line would be:
snfs,140,4,0,0,0,0,0,0,0,0,1520000,1520000,26,26,48,48,2.3,2.3,100000
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)

495243540807110960743839591476273373852385477387229625526169315796839011132809495180946611856999157219935767964743459223731451963<129>

328172073287949373843793791063183302293114935221013589<54>
1509097150910118366683254678971261765730048296613009035076185433899997823567<76>

Number: n
N=495243540807110960743839591476273373852385477387229625526169315796839011132809495180946611856999157219935767964743459223731451963  ( 129 digits)
SNFS difficulty: 142 digits.
Divisors found:

Fri Jul 29 02:31:42 2022  p54 factor: 328172073287949373843793791063183302293114935221013589
Fri Jul 29 02:31:42 2022  p76 factor: 1509097150910118366683254678971261765730048296613009035076185433899997823567
Fri Jul 29 02:31:42 2022  elapsed time 00:02:42 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.337).
Factorization parameters were as follows:
#
# N = 35x10^141-62 = 38(140)2
#
n: 495243540807110960743839591476273373852385477387229625526169315796839011132809495180946611856999157219935767964743459223731451963
m: 100000000000000000000000000000000000
deg: 4
c4: 175
c0: -31
skew: 0.65
# Murphy_E = 3.812e-09
type: snfs
lss: 1
rlim: 1640000
alim: 1640000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1640000/1640000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6420000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 414185 hash collisions in 6293848 relations (6587618 unique)
Msieve: matrix is 229058 x 229283 (76.4 MB)

Sieving start time : 2022/07/29 02:14:03
Sieving end time  : 2022/07/29 02:28:50

Total sieving time: 0hrs 14min 47secs.

Total relation processing time: 0hrs 1min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 7sec.

Prototype def-par.txt line would be:
snfs,142,4,0,0,0,0,0,0,0,0,1640000,1640000,26,26,48,48,2.3,2.3,100000
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)

6681939671630393279877815960290187094310805651011836578846888125238640702558228331424207712867506681939671630393279877815960290187094310805651<142>

8582285642522236056533137643636630021931120821<46>
778573441849069855962867468640025627910437330324578075066151758621705330707191664411774449576231<96>

Number: n
N=6681939671630393279877815960290187094310805651011836578846888125238640702558228331424207712867506681939671630393279877815960290187094310805651  ( 142 digits)
SNFS difficulty: 145 digits.
Divisors found:

Fri Jul 29 00:28:49 2022  p46 factor: 8582285642522236056533137643636630021931120821
Fri Jul 29 00:28:49 2022  p96 factor: 778573441849069855962867468640025627910437330324578075066151758621705330707191664411774449576231
Fri Jul 29 00:28:49 2022  elapsed time 00:03:50 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 35x10^144-62 = 38(143)2
#
n: 6681939671630393279877815960290187094310805651011836578846888125238640702558228331424207712867506681939671630393279877815960290187094310805651
m: 1000000000000000000000000000000000000
deg: 4
c4: 35
c0: -62
skew: 1.15
# Murphy_E = 2.37e-09
type: snfs
lss: 1
rlim: 1870000
alim: 1870000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1870000/1870000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6535000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1167070 hash collisions in 10841902 relations (10423925 unique)
Msieve: matrix is 446784 x 447028 (47.9 MB)

Sieving start time : 2022/07/28 23:49:03
Sieving end time  : 2022/07/29 00:15:17

Total sieving time: 0hrs 26min 14secs.

Total relation processing time: 0hrs 1min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 15sec.

Prototype def-par.txt line would be:
snfs,145,4,0,0,0,0,0,0,0,0,1870000,1870000,26,26,49,49,2.3,2.3,100000
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)

1953478233766620449082770822401446066936455617654451645965730513868022085145791588950433948953<94>

54491481348743885968762000297405267979<38>
35849240751309675735209573199748619109548577081705148907<56>

P56 = 35849240751309675735209573199748619109548577081705148907
P38 = 54491481348743885968762000297405267979

761176845486870333169982707448011994725439443557698319228602116302785172240535835232324402550659616527569<105>

17395191885895173678217994964511617254523337<44>
43757887264472646216882842446571271715547529866910340281499337<62>

N=761176845486870333169982707448011994725439443557698319228602116302785172240535835232324402550659616527569
  ( 105 digits)
Divisors found:
 r1=17395191885895173678217994964511617254523337 (pp44)
 r2=43757887264472646216882842446571271715547529866910340281499337 (pp62)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 5.20 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 761176845486870333169982707448011994725439443557698319228602116302785172240535835232324402550659616527569
skew: 3397468.27
c0: 750448534099764157948040959649
c1: 140980582794775543044942
c2: -254236591735529729
c3: -25655103702
c4: 14280
Y0: -15194612829443104772463600
Y1: 23216130134797
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1250000, 1950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 298533 x 298759
Total sieving time: 5.10 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,104,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,52,52,2.5,2.5,150000
total time: 5.20 hours.
 --------- CPU info (if available) ----------

110096909990979002177310203479692979284818730881692012856220891207784603865228443089403<87>

55761004744831436151437611074084118051139<41>
1974442722020428361298531080487640394342790377<46>

P46 = 1974442722020428361298531080487640394342790377
P41 = 55761004744831436151437611074084118051139

4889889492166291272225442242395039394546647088655652169349470586739513904350894102029136402068316739422088991566620792042655893092248793823043979943<148>

4724027906273508858899861767944213869<37>
660245121656929305921511705836896405939489<42>
1567766531785572890641069625375491062539446546621696231616140602120323<70>

Number: n
N=4889889492166291272225442242395039394546647088655652169349470586739513904350894102029136402068316739422088991566620792042655893092248793823043979943  ( 148 digits)
SNFS difficulty: 157 digits.
Divisors found:

Mon Aug  1 22:20:19 2022  found factor: 660245121656929305921511705836896405939489
Mon Aug  1 22:21:16 2022  found factor: 660245121656929305921511705836896405939489
Mon Aug  1 22:21:35 2022  found factor: 660245121656929305921511705836896405939489
Mon Aug  1 22:22:13 2022  found factor: 660245121656929305921511705836896405939489
Mon Aug  1 22:22:32 2022  p37 factor: 4724027906273508858899861767944213869
Mon Aug  1 22:22:32 2022  p42 factor: 660245121656929305921511705836896405939489
Mon Aug  1 22:22:32 2022  p70 factor: 1567766531785572890641069625375491062539446546621696231616140602120323
Mon Aug  1 22:22:32 2022  elapsed time 00:09:19 (Msieve 1.54 - dependency 10)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 35x10^156-62 = 38(155)2
#
n: 4889889492166291272225442242395039394546647088655652169349470586739513904350894102029136402068316739422088991566620792042655893092248793823043979943
m: 10000000000000000000000000000000
deg: 5
c5: 175
c0: -31
skew: 0.71
# Murphy_E = 6.765e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 14250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1578904 hash collisions in 14939389 relations (14295484 unique)
Msieve: matrix is 425865 x 426090 (142.6 MB)

Sieving start time : 2022/08/01 21:19:26
Sieving end time  : 2022/08/01 22:12:57

Total sieving time: 0hrs 53min 31secs.

Total relation processing time: 0hrs 2min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 10sec.

Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
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)

9491016058762887623181436392394296639873102684037774297560499706426727301412292310695832131359507607575782629138273444300539183558366463367<139>

369961169292942435631738976539566205992279869304202109989<57>
25654087094874859328007022150998552369328003150157697563465146692224816950373260603<83>

Number: n
N=9491016058762887623181436392394296639873102684037774297560499706426727301412292310695832131359507607575782629138273444300539183558366463367  ( 139 digits)
SNFS difficulty: 159 digits.
Divisors found:

Wed Aug  3 20:39:49 2022  p57 factor: 369961169292942435631738976539566205992279869304202109989
Wed Aug  3 20:39:49 2022  p83 factor: 25654087094874859328007022150998552369328003150157697563465146692224816950373260603
Wed Aug  3 20:39:49 2022  elapsed time 00:06:44 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
#
# N = 35x10^158-62 = 38(157)2
#
n: 9491016058762887623181436392394296639873102684037774297560499706426727301412292310695832131359507607575782629138273444300539183558366463367
m: 50000000000000000000000000000000
deg: 5
c5: 28
c0: -155
skew: 1.41
# Murphy_E = 5.205e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1524089 hash collisions in 13589917 relations (12867960 unique)
Msieve: matrix is 441906 x 442131 (149.3 MB)

Sieving start time : 2022/08/03 19:58:32
Sieving end time  : 2022/08/03 20:32:44

Total sieving time: 0hrs 34min 12secs.

Total relation processing time: 0hrs 3min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 39sec.

Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
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)

2528082391316673109319090631474289319808615095298508476365632855567129527248901859914184858966828338669731377274361416275017518405852862721<139>

39279046411542595381120345666237345829223787327<47>
64362112176271348853166440444154839597994356129666550876143449182601302731133045531655154623<92>

Number: n
N=2528082391316673109319090631474289319808615095298508476365632855567129527248901859914184858966828338669731377274361416275017518405852862721  ( 139 digits)
SNFS difficulty: 162 digits.
Divisors found:

Tue Aug  2 14:03:25 2022  p47 factor: 39279046411542595381120345666237345829223787327
Tue Aug  2 14:03:25 2022  p92 factor: 64362112176271348853166440444154839597994356129666550876143449182601302731133045531655154623
Tue Aug  2 14:03:25 2022  elapsed time 00:08:01 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 35x10^161-62 = 38(160)2
#
n: 2528082391316673109319090631474289319808615095298508476365632855567129527248901859914184858966828338669731377274361416275017518405852862721
m: 100000000000000000000000000000000
deg: 5
c5: 175
c0: -31
skew: 0.71
# Murphy_E = 4.333e-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 1346040 hash collisions in 13575549 relations (13078618 unique)
Msieve: matrix is 523529 x 523754 (179.9 MB)

Sieving start time : 2022/08/02 13:02:34
Sieving end time  : 2022/08/02 13:55:09

Total sieving time: 0hrs 52min 35secs.

Total relation processing time: 0hrs 3min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 1sec.

Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
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)

77364802205733936201001574110758873652072336808123543580588727848859229446609258322060113620395582501286748538901337604718814963<128>

13381548599601221907588319115541081831089189591<47>
5781453591106746287603049507401730389689965898371693729309084385790987408804513093<82>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 77364802205733936201001574110758873652072336808123543580588727848859229446609258322060113620395582501286748538901337604718814963 (128 digits)
Using B1=23410000, B2=96188942866, polynomial Dickson(12), sigma=1:3241270561
Step 1 took 35456ms
Step 2 took 14880ms
********** Factor found in step 2: 13381548599601221907588319115541081831089189591
Found prime factor of 47 digits: 13381548599601221907588319115541081831089189591
Prime cofactor 5781453591106746287603049507401730389689965898371693729309084385790987408804513093 has 82 digits

25529918492923205690336489520720181515910706784846263582456588999233071337022925972674708846717892044788615644859375733692151748746993827<137>

293558675483802538834963983395800489172127160369049<51>
86967003958742995349145328550386302341813938346153292588708587727122126839550781159323<86>

Number: n
N=25529918492923205690336489520720181515910706784846263582456588999233071337022925972674708846717892044788615644859375733692151748746993827  ( 137 digits)
SNFS difficulty: 167 digits.
Divisors found:

Sat Jul 30 11:10:27 2022  p51 factor: 293558675483802538834963983395800489172127160369049
Sat Jul 30 11:10:27 2022  p86 factor: 86967003958742995349145328550386302341813938346153292588708587727122126839550781159323
Sat Jul 30 11:10:27 2022  elapsed time 00:13:26 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 35x10^166-62 = 38(165)2
#
n: 25529918492923205690336489520720181515910706784846263582456588999233071337022925972674708846717892044788615644859375733692151748746993827
m: 1000000000000000000000000000000000
deg: 5
c5: 175
c0: -31
skew: 0.71
# Murphy_E = 2.762e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 29350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 883097 hash collisions in 10688873 relations (10488847 unique)
Msieve: matrix is 765473 x 765698 (266.0 MB)

Sieving start time : 2022/07/30 08:13:54
Sieving end time  : 2022/07/30 10:56:31

Total sieving time: 2hrs 42min 37secs.

Total relation processing time: 0hrs 8min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 45sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] 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)

431440757250082014947456069094310077317562590484424590656465221147364058154289341924584262309123592189375942921057<114>

274053013893706852849304411699330938768986206584181<51>
1574296706758419254085576992564017338386453741823526809928465597<64>

08/01/22 13:53:35 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing nfs on c114: 431440757250082014947456069094310077317562590484424590656465221147364058154289341924584262309123592189375942921057
08/01/22 13:53:35 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing poly selection with 46 threads
08/01/22 13:53:35 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: setting deadline of 134 seconds
08/01/22 13:56:08 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: completed 123 ranges of size 250 in 152.1644 seconds
08/01/22 13:56:08 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: best poly = # norm 7.846581e-011 alpha -7.325358 e 6.050e-010 rroots 5
08/01/22 13:56:08 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 13:57:20 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 13:58:38 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 13:59:56 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 14:01:17 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 14:02:32 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 14:03:57 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 14:05:18 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 14:06:36 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 14:08:01 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 14:09:27 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 14:10:50 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 14:12:12 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 14:13:41 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 14:15:03 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 14:16:25 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 14:17:44 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 14:19:00 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 14:20:20 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 14:21:36 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 14:22:52 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 14:24:14 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 14:25:37 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 14:27:03 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing msieve filtering
08/01/22 14:28:45 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing msieve linear algebra
08/01/22 14:32:20 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing msieve sqrt
08/01/22 14:32:59 v1.34.5 @ DESKTOP-M5CJ3QV, prp51 = 274053013893706852849304411699330938768986206584181
08/01/22 14:32:59 v1.34.5 @ DESKTOP-M5CJ3QV, prp64 = 1574296706758419254085576992564017338386453741823526809928465597
08/01/22 14:32:59 v1.34.5 @ DESKTOP-M5CJ3QV, NFS elapsed time = 2363.6615 seconds.
08/01/22 14:32:59 v1.34.5 @ DESKTOP-M5CJ3QV, 
08/01/22 14:32:59 v1.34.5 @ DESKTOP-M5CJ3QV, 

Yafu

97425738262902404947230468831382814857485374207166478922422620429548752069862816157180361712862099439<101>

207982110499700540283106999818201991601<39>
468433261057049816979186187345942108543234675635175395291227039<63>

N=97425738262902404947230468831382814857485374207166478922422620429548752069862816157180361712862099439
  ( 101 digits)
Divisors found:
p39 factor: 207982110499700540283106999818201991601
p63 factor: 468433261057049816979186187345942108543234675635175395291227039
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.77 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 97425738262902404947230468831382814857485374207166478922422620429548752069862816157180361712862099439
skew: 493231.94
c0: -257099198788672211574938225
c1: -1765081193001648384500
c2: 10618822795326103
c3: 8830839486
c4: 11760
Y0: -1696546449386208650531924
Y1: 17506737594679
rlim: 1940000
alim: 1940000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 1940000/1940000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [970000, 1370001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 241120 x 241350
Total sieving time: 1.72 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,100,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1940000,1940000,26,26,52,52,2.5,2.5,100000
total time: 1.77 hours.
 --------- CPU info (if available) ----------

503118009743837217246264542077352704010869338940803668542549639620631495948206702822479488663032472463030073665157106718082807366552270765741738418425409081<156>

1158774533756117558632709503448377059708492224862199427<55>
434181106925953867742591219174975328191186552798595932383937170935481068266796494340217350186291520403<102>

Number: n
N=503118009743837217246264542077352704010869338940803668542549639620631495948206702822479488663032472463030073665157106718082807366552270765741738418425409081  ( 156 digits)
SNFS difficulty: 176 digits.
Divisors found:

Mon Aug  1 07:43:12 2022  p55 factor: 1158774533756117558632709503448377059708492224862199427
Mon Aug  1 07:43:12 2022  p102 factor: 434181106925953867742591219174975328191186552798595932383937170935481068266796494340217350186291520403
Mon Aug  1 07:43:12 2022  elapsed time 00:31:22 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 35x10^175-62 = 38(174)2
#
n: 503118009743837217246264542077352704010869338940803668542549639620631495948206702822479488663032472463030073665157106718082807366552270765741738418425409081
m: 100000000000000000000000000000000000
deg: 5
c5: 35
c0: -62
skew: 1.12
# Murphy_E = 1.095e-10
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1643939 hash collisions in 12883726 relations (11935545 unique)
Msieve: matrix is 1112486 x 1112711 (386.6 MB)

Sieving start time : 2022/08/01 05:13:16
Sieving end time  : 2022/08/01 07:11:15

Total sieving time: 1hrs 57min 59secs.

Total relation processing time: 0hrs 22min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 45sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6100000,6100000,27,27,53,53,2.5,2.5,100000
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)

433108867890234083713064080348557603710073675588309527204436036697775179508886495562044998513976958136871607720634046014659882422879990440097401351520175572967<159>

1661835980376946817572091583205176613730502958181<49>
260620706859406147692759639048307323475930304099936418806356797860435638765953736254431700754121350775092719707<111>

Number: n
N=433108867890234083713064080348557603710073675588309527204436036697775179508886495562044998513976958136871607720634046014659882422879990440097401351520175572967  ( 159 digits)
SNFS difficulty: 177 digits.
Divisors found:

Sun Jul 31 19:16:07 2022  p49 factor: 1661835980376946817572091583205176613730502958181
Sun Jul 31 19:16:07 2022  p111 factor: 260620706859406147692759639048307323475930304099936418806356797860435638765953736254431700754121350775092719707
Sun Jul 31 19:16:07 2022  elapsed time 00:28:38 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 35x10^176-62 = 38(175)2
#
n: 433108867890234083713064080348557603710073675588309527204436036697775179508886495562044998513976958136871607720634046014659882422879990440097401351520175572967
m: 100000000000000000000000000000000000
deg: 5
c5: 175
c0: -31
skew: 0.71
# Murphy_E = 1.106e-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, 23154679)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1485650 hash collisions in 13232516 relations (12144772 unique)
Msieve: matrix is 1161246 x 1161471 (404.4 MB)

Sieving start time : 2022/07/31 16:07:14
Sieving end time  : 2022/07/31 18:08:44

Total sieving time: 2hrs 1min 30secs.

Total relation processing time: 0hrs 23min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 26sec.

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)

65679731621425799416487873036381273454118089432608175543991436175582410319230922029173647089811767719963724744393463523<119>

1638524255048091304315935844090584493<37>
40084686826621357853442237054515402330972969681937979519521955379825374790004373711<83>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:656445081
Step 1 took 4891ms
Step 2 took 2937ms
********** Factor found in step 2: 1638524255048091304315935844090584493
Found prime factor of 37 digits: 1638524255048091304315935844090584493
Prime cofactor 40084686826621357853442237054515402330972969681937979519521955379825374790004373711 has 83 digits

GMP-ECM

28003988934124607349760696457611813871236581730894562329666689387193308706653344088088813318392692141421681717772056900212538973187863<134>

10069992441697532322551055029579751075665939758492811406713<59>
2780934454147800852465081853372614720510244251890990893995809253519597153551<76>

08/14/22 11:07:32 v1.35-beta @ 7700KL, 
08/14/22 11:07:32 v1.35-beta @ 7700KL, ****************************
08/14/22 11:07:32 v1.35-beta @ 7700KL, Starting factorization of 28003988934124607349760696457611813871236581730894562329666689387193308706653344088088813318392692141421681717772056900212538973187863
08/14/22 11:07:32 v1.35-beta @ 7700KL, using pretesting plan: normal
08/14/22 11:07:32 v1.35-beta @ 7700KL, using tune info for qs/gnfs crossover
08/14/22 11:07:32 v1.35-beta @ 7700KL, ****************************
08/14/22 11:07:32 v1.35-beta @ 7700KL, rho: x^2 + 3, starting 2000 iterations on C134
08/14/22 11:07:32 v1.35-beta @ 7700KL, rho: x^2 + 2, starting 2000 iterations on C134
08/14/22 11:07:32 v1.35-beta @ 7700KL, rho: x^2 + 1, starting 2000 iterations on C134
08/14/22 11:07:32 v1.35-beta @ 7700KL, pm1: starting B1 = 150K, B2 = gmp-ecm default on C134
08/14/22 11:07:32 v1.35-beta @ 7700KL, final ECM pretested depth: 0.00
08/14/22 11:07:32 v1.35-beta @ 7700KL, scheduler: switching to sieve method
08/14/22 11:07:32 v1.35-beta @ 7700KL, nfs: commencing nfs on c134: 28003988934124607349760696457611813871236581730894562329666689387193308706653344088088813318392692141421681717772056900212538973187863
08/14/22 11:07:33 v1.35-beta @ 7700KL, nfs: commencing poly selection with 6 threads
08/14/22 11:07:33 v1.35-beta @ 7700KL, nfs: setting deadline of 16200 seconds
08/14/22 11:07:33 v1.35-beta @ 7700KL, nfs: expecting degree 5 poly E from 4.13e-011 to > 4.75e-011
08/14/22 15:20:21 v1.35-beta @ 7700KL, nfs: completed 18 ranges of size 250 in 15168.5209 seconds
08/14/22 15:20:21 v1.35-beta @ 7700KL, nfs: best poly = # norm 1.018546e-012 alpha -7.552521 e 5.686e-011 rroots 3
08/14/22 15:20:21 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/14/22 16:00:19 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/14/22 16:41:20 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/14/22 17:23:17 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/14/22 18:04:34 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/14/22 18:46:17 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/14/22 19:28:30 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/14/22 20:09:42 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/14/22 20:51:56 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/14/22 21:32:44 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/14/22 22:14:05 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/14/22 22:54:58 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/14/22 23:36:18 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/15/22 00:17:58 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/15/22 00:59:07 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/15/22 01:42:07 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/15/22 02:23:23 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/15/22 03:04:47 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/15/22 03:45:39 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/15/22 04:26:48 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/15/22 05:09:12 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/15/22 05:50:49 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/15/22 06:33:03 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/15/22 07:15:04 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/15/22 07:56:44 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/15/22 08:38:11 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/15/22 09:19:47 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/15/22 18:27:35 v1.35-beta @ 7700KL, 
08/15/22 18:27:35 v1.35-beta @ 7700KL, ****************************
08/15/22 18:27:35 v1.35-beta @ 7700KL, Starting factorization of 28003988934124607349760696457611813871236581730894562329666689387193308706653344088088813318392692141421681717772056900212538973187863
08/15/22 18:27:35 v1.35-beta @ 7700KL, using pretesting plan: normal
08/15/22 18:27:35 v1.35-beta @ 7700KL, using tune info for qs/gnfs crossover
08/15/22 18:27:35 v1.35-beta @ 7700KL, ****************************
08/15/22 18:27:36 v1.35-beta @ 7700KL, nfs: previous data file found - commencing search for last special-q
08/15/22 18:27:42 v1.35-beta @ 7700KL, nfs: parsing special-q from .dat file
08/15/22 18:27:42 v1.35-beta @ 7700KL, nfs: commencing nfs on c134: 28003988934124607349760696457611813871236581730894562329666689387193308706653344088088813318392692141421681717772056900212538973187863
08/15/22 18:27:42 v1.35-beta @ 7700KL, nfs: resuming with filtering
08/15/22 18:27:42 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/15/22 19:10:04 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/15/22 19:52:32 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/15/22 20:35:41 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/15/22 21:17:04 v1.35-beta @ 7700KL, nfs: commencing lattice sieving with 6 threads
08/15/22 21:50:33 v1.35-beta @ 1620XE, 
08/15/22 21:50:33 v1.35-beta @ 1620XE, ****************************
08/15/22 21:50:33 v1.35-beta @ 1620XE, Starting factorization of 28003988934124607349760696457611813871236581730894562329666689387193308706653344088088813318392692141421681717772056900212538973187863
08/15/22 21:50:33 v1.35-beta @ 1620XE, using pretesting plan: normal
08/15/22 21:50:33 v1.35-beta @ 1620XE, no tune info: using qs/gnfs crossover of 95 digits
08/15/22 21:50:33 v1.35-beta @ 1620XE, no tune info: using qs/snfs crossover of 75 digits
08/15/22 21:50:33 v1.35-beta @ 1620XE, ****************************
08/15/22 21:50:33 v1.35-beta @ 1620XE, nfs: previous data file found - commencing search for last special-q
 
08/15/22 21:50:58 v1.35-beta @ 1620XE, 
08/15/22 21:50:58 v1.35-beta @ 1620XE, ****************************
08/15/22 21:50:58 v1.35-beta @ 1620XE, Starting factorization of 28003988934124607349760696457611813871236581730894562329666689387193308706653344088088813318392692141421681717772056900212538973187863
08/15/22 21:50:58 v1.35-beta @ 1620XE, using pretesting plan: normal
08/15/22 21:50:58 v1.35-beta @ 1620XE, no tune info: using qs/gnfs crossover of 95 digits
08/15/22 21:50:58 v1.35-beta @ 1620XE, no tune info: using qs/snfs crossover of 75 digits
08/15/22 21:50:58 v1.35-beta @ 1620XE, ****************************
08/15/22 21:50:58 v1.35-beta @ 1620XE, nfs: previous data file found - commencing search for last special-q
 
08/15/22 21:57:19 v1.34.5 @ 1620XE, 
08/15/22 21:57:19 v1.34.5 @ 1620XE, ****************************
08/15/22 21:57:19 v1.34.5 @ 1620XE, Starting factorization of 28003988934124607349760696457611813871236581730894562329666689387193308706653344088088813318392692141421681717772056900212538973187863
08/15/22 21:57:19 v1.34.5 @ 1620XE, using pretesting plan: normal
08/15/22 21:57:19 v1.34.5 @ 1620XE, no tune info: using qs/gnfs crossover of 95 digits
08/15/22 21:57:19 v1.34.5 @ 1620XE, ****************************
08/15/22 21:57:19 v1.34.5 @ 1620XE, nfs: previous data file found - commencing search for last special-q
08/15/22 21:57:25 v1.34.5 @ 1620XE, nfs: parsing special-q from .dat file
08/15/22 21:57:25 v1.34.5 @ 1620XE, nfs: commencing nfs on c134: 28003988934124607349760696457611813871236581730894562329666689387193308706653344088088813318392692141421681717772056900212538973187863
08/15/22 21:57:25 v1.34.5 @ 1620XE, nfs: resuming with filtering
08/15/22 21:57:25 v1.34.5 @ 1620XE, nfs: commencing lattice sieving with 6 threads
08/15/22 18:48:25 v1.34.5 @ 1620XE, nfs: commencing lattice sieving with 6 threads
08/15/22 19:34:53 v1.34.5 @ 1620XE, nfs: commencing lattice sieving with 6 threads
08/15/22 20:22:09 v1.34.5 @ 1620XE, nfs: commencing lattice sieving with 6 threads
08/15/22 21:12:50 v1.34.5 @ 1620XE, nfs: commencing lattice sieving with 6 threads
08/15/22 22:01:23 v1.34.5 @ 1620XE, nfs: commencing msieve filtering
08/15/22 22:07:39 v1.34.5 @ 1620XE, nfs: commencing msieve linear algebra
08/15/22 23:12:39 v1.34.5 @ 1620XE, nfs: commencing msieve sqrt
08/15/22 23:17:56 v1.34.5 @ 1620XE, prp59 = 10069992441697532322551055029579751075665939758492811406713
08/15/22 23:17:56 v1.34.5 @ 1620XE, prp76 = 2780934454147800852465081853372614720510244251890990893995809253519597153551
08/15/22 23:17:56 v1.34.5 @ 1620XE, NFS elapsed time = 4837.3507 seconds.
08/15/22 23:17:56 v1.34.5 @ 1620XE, 
08/15/22 23:17:56 v1.34.5 @ 1620XE, 
08/15/22 23:17:56 v1.34.5 @ 1620XE, Total factoring time = 4837.3664 seconds
 

Yafu v1.34

Windows 10 v21H1

37074248046020260142450834889251091623967304846543307115816406387432074340176990581605060792645734112807144921265388670252856404266818734388446352323423<152>

386854364652596426125499982101787107761182751761043659964367<60>
95835155121782677919571185909444989738757102558829613609380098324005690779598649146106816369<92>

Number: n
N=37074248046020260142450834889251091623967304846543307115816406387432074340176990581605060792645734112807144921265388670252856404266818734388446352323423  ( 152 digits)
SNFS difficulty: 183 digits.
Divisors found:

Thu Aug 11 05:04:55 2022  p60 factor: 386854364652596426125499982101787107761182751761043659964367
Thu Aug 11 05:04:55 2022  p92 factor: 95835155121782677919571185909444989738757102558829613609380098324005690779598649146106816369
Thu Aug 11 05:04:55 2022  elapsed time 00:17:46 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.341).
Factorization parameters were as follows:
#
# N = 35x10^182-62 = 38(181)2
#
n: 37074248046020260142450834889251091623967304846543307115816406387432074340176990581605060792645734112807144921265388670252856404266818734388446352323423
m: 1000000000000000000000000000000000000
deg: 5
c5: 1750
c0: -31
skew: 0.45
# Murphy_E = 5.947e-11
type: snfs
lss: 1
rlim: 6900000
alim: 6900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 6900000/6900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 16250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1568838 hash collisions in 12363510 relations (11466191 unique)
Msieve: matrix is 933960 x 934185 (323.2 MB)

Sieving start time : 2022/08/11 01:34:21
Sieving end time  : 2022/08/11 04:46:51

Total sieving time: 3hrs 12min 30secs.

Total relation processing time: 0hrs 13min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 7sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,6900000,6900000,27,27,51,51,2.5,2.5,100000
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)

4225997228906802234969949298297523007306803604355389110730565163933295488125029594192005724751289654912569770979890268342792135013850478482407495677450215201663<160>

4124982829180912806977243688147325086889874366703436453993<58>
1024488441263632507437330836176298458020136867266793920640282146378805167656008603157093862889327073191<103>

4225997228906802234969949298297523007306803604355389110730565163933295488125029594192005724751289654912569770979890268342792135013850478482407495677450215201663=4124982829180912806977243688147325086889874366703436453993*1024488441263632507437330836176298458020136867266793920640282146378805167656008603157093862889327073191

cado polynomial
n: 4225997228906802234969949298297523007306803604355389110730565163933295488125029594192005724751289654912569770979890268342792135013850478482407495677450215201663
skew: 0.89
type: snfs
c0: -31
c5: 56
Y0: 5000000000000000000000000000000000000
Y1: -1
# f(x) = 56*x^5-31
# g(x) = -x+5000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8600000
tasks.lim1 = 8600000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1024488441263632507437330836176298458020136867266793920640282146378805167656008603157093862889327073191 4124982829180912806977243688147325086889874366703436453993
Info:Square Root: Total cpu/real time for sqrt: 428.08/138.785
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23538304
Info:Lattice Sieving: Average J: 1893.96 for 1342718 special-q, max bucket fill -bkmult 1.0,1s:1.195580
Info:Lattice Sieving: Total time: 237489s
Info:Linear Algebra: Total cpu/real time for bwc: 43654.7/11231.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 27909.31, WCT time 7130.05, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (50944 iterations)
Info:Linear Algebra: Lingen CPU time 327.54, WCT time 83.2
Info:Linear Algebra: Mksol: CPU time 15118.93,  WCT time 3904.5, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (25600 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.67/2.10537
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 357.05/346.932
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 287.9s
Info:Generate Free Relations: Total cpu/real time for freerel: 120.33/32.607
Info:Quadratic Characters: Total cpu/real time for characters: 58.71/25.5151
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 97.36/105.04
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 104.6s
Info:Square Root: Total cpu/real time for sqrt: 428.08/138.785
Info:Filtering - Singleton removal: Total cpu/real time for purge: 247.29/287.041
Info:Filtering - Merging: Merged matrix has 1626382 rows and total weight 277510932 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 418.33/115.639
Info:Filtering - Merging: Total cpu/real time for replay: 62.92/53.517
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 489627/130954
Info:root: Cleaning up computation data in /tmp/cado.wy_o7yas
1024488441263632507437330836176298458020136867266793920640282146378805167656008603157093862889327073191 4124982829180912806977243688147325086889874366703436453993

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)

136075652552090274873565614603474807169065883631122978059314698191296467863254658008646782998573087741671477762349261626340643013703867<135>

109476069218817098876790522182448049<36>
118008974580776695320758400011208523337983710751<48>
10532857133475483761520768739583776044820365139964533<53>

C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:47810979 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 136075652552090274873565614603474807169065883631122978059314698191296467863254658008646782998573087741671477762349261626340643013703867 (135 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:47810979
Step 1 took 3187ms
Step 2 took 3360ms
********** Factor found in step 2: 109476069218817098876790522182448049
Found probable prime factor of 36 digits: 109476069218817098876790522182448049
Composite cofactor 1242971669727260851116294322871995226097401947541750094894803232453098562231819790534735351870794283 has 100 digits

Fri Jul 29 12:33:24 2022  Msieve v. 1.53 (SVN unknown)
Fri Jul 29 12:33:24 2022  random seeds: 495bc6f8 90e7c362
Fri Jul 29 12:33:24 2022  factoring 1242971669727260851116294322871995226097401947541750094894803232453098562231819790534735351870794283 (100 digits)
Fri Jul 29 12:33:25 2022  searching for 15-digit factors
Fri Jul 29 12:33:25 2022  commencing number field sieve (100-digit input)
Fri Jul 29 12:33:25 2022  R0: -8857434950393981416
Fri Jul 29 12:33:25 2022  R1: 23355096193
Fri Jul 29 12:33:25 2022  A0: 230788725460436698573275
Fri Jul 29 12:33:25 2022  A1: 137296308492984428370
Fri Jul 29 12:33:25 2022  A2: 11564774391645066
Fri Jul 29 12:33:25 2022  A3: -8936840716813
Fri Jul 29 12:33:25 2022  A4: -268252834
Fri Jul 29 12:33:25 2022  A5: 22800
Fri Jul 29 12:33:25 2022  skew 9167.82, size 1.534e-09, alpha -5.956, combined = 3.272e-09 rroots = 3
Fri Jul 29 12:33:25 2022  
Fri Jul 29 12:33:25 2022  commencing square root phase
Fri Jul 29 12:33:25 2022  reading relations for dependency 1
Fri Jul 29 12:33:25 2022  read 89080 cycles
Fri Jul 29 12:33:25 2022  cycles contain 308870 unique relations
Fri Jul 29 12:33:28 2022  read 308870 relations
Fri Jul 29 12:33:28 2022  multiplying 308870 relations
Fri Jul 29 12:33:35 2022  multiply complete, coefficients have about 12.76 million bits
Fri Jul 29 12:33:35 2022  initial square root is modulo 21500251
Fri Jul 29 12:33:43 2022  sqrtTime: 18
Fri Jul 29 12:33:43 2022  p48 factor: 118008974580776695320758400011208523337983710751
Fri Jul 29 12:33:44 2022  p53 factor: 10532857133475483761520768739583776044820365139964533
Fri Jul 29 12:33:44 2022  elapsed time 00:00:20

25750972538669415671923546898141524698019396530719828295049870821070521746874742380503723466746195884416959013730778468180079453154004075733025302036584633<155>

89380741484614841820012676892647211856870066407551<50>
288104261734077752208296481244651603608729575316534283108624622789318543342838915425106201001640999862983<105>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 25750972538669415671923546898141524698019396530719828295049870821070521746874742380503723466746195884416959013730778468180079453154004075733025302036584633 (155 digits)
Using B1=15250000, B2=46847553490, polynomial Dickson(12), sigma=1:3394876738
Step 1 took 33454ms
Step 2 took 12797ms
********** Factor found in step 2: 89380741484614841820012676892647211856870066407551
Found prime factor of 50 digits: 89380741484614841820012676892647211856870066407551
Prime cofactor 288104261734077752208296481244651603608729575316534283108624622789318543342838915425106201001640999862983 has 105 digits

12432227827899374950182446031362397344849172506280943243072717742093847824577190762372453784236292710950526110720380411833761720135251307960383<143>

260993621762729709946565733309221388505987<42>
57347336711058452706545777319951966152575601123<47>
830626557641791426402473149972258519792330284478278183<54>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 12432227827899374950182446031362397344849172506280943243072717742093847824577190762372453784236292710950526110720380411833761720135251307960383 (143 digits)
Using B1=27040000, B2=144286522396, polynomial Dickson(12), sigma=1:1076538913
Step 1 took 54844ms
Step 2 took 22118ms
********** Factor found in step 2: 260993621762729709946565733309221388505987
Found prime factor of 42 digits: 260993621762729709946565733309221388505987
Composite cofactor 47634220882231215425558567958667398299741944523424189313138392975379475101320566224988668207241199509 has 101 digits


GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 47634220882231215425558567958667398299741944523424189313138392975379475101320566224988668207241199509 (101 digits)
Using B1=41140000, B2=192394462276, polynomial Dickson(12), sigma=1:3013625132
Step 1 took 56497ms
Step 2 took 19979ms
********** Factor found in step 2: 57347336711058452706545777319951966152575601123
Found prime factor of 47 digits: 57347336711058452706545777319951966152575601123
Prime cofactor 830626557641791426402473149972258519792330284478278183 has 54 digits

7383639146453111934213882538099891532664482528138838770454622981498182711106296345493941647701173309562006644337357271968639768076819328493022041<145>

7642529744402539126694893284063461030548162818349731418059648936964337<70>
966125012710740038870460242874960705243397988275902729449496578062721065193<75>

NFS elapsed time = 73129.0431 seconds.
pretesting / nfs ratio was 0.09
Total factoring time = 79947.2341 seconds


***factors found***

P75 = 966125012710740038870460242874960705243397988275902729449496578062721065193
P70 = 7642529744402539126694893284063461030548162818349731418059648936964337

yafu2

23018494119049177580793927478040587388629430289423633446879767932505194248277799637972553736796287306844312802826125922057797126978831945019681566427286501163819397<164>

2219876263454126269160692260843393031059497526167<49>
24791434160916732433515550590045026331517383660437<50>
418260151113228421963651930100792573858854284083080080284716730743<66>

Number: n
N=23018494119049177580793927478040587388629430289423633446879767932505194248277799637972553736796287306844312802826125922057797126978831945019681566427286501163819397  ( 164 digits)
SNFS difficulty: 193 digits.
Divisors found:

Sat Aug 13 12:33:31 2022  found factor: 24791434160916732433515550590045026331517383660437
Sat Aug 13 12:39:46 2022  p49 factor: 2219876263454126269160692260843393031059497526167
Sat Aug 13 12:39:46 2022  p50 factor: 24791434160916732433515550590045026331517383660437
Sat Aug 13 12:39:46 2022  p66 factor: 418260151113228421963651930100792573858854284083080080284716730743
Sat Aug 13 12:39:46 2022  elapsed time 00:59:53 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 35x10^192-62 = 38(191)2
#
n: 23018494119049177580793927478040587388629430289423633446879767932505194248277799637972553736796287306844312802826125922057797126978831945019681566427286501163819397
m: 100000000000000000000000000000000000000
deg: 5
c5: 1750
c0: -31
skew: 0.45
# Murphy_E = 2.317e-11
type: snfs
lss: 1
rlim: 11600000
alim: 11600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11600000/11600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 25800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3015764 hash collisions in 28979788 relations (27114400 unique)
Msieve: matrix is 1510644 x 1510869 (526.6 MB)

Sieving start time : 2022/08/13 04:49:36
Sieving end time  : 2022/08/13 11:38:43

Total sieving time: 6hrs 49min 7secs.

Total relation processing time: 0hrs 43min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 21sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11600000,11600000,28,28,55,55,2.5,2.5,100000
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)

2101544185583035503693135559097305816630986869305359701870478297446292090090094191200826798988934501784653432443269670912311428879915710937915707365393867759925020654918918565546097893<184>

113543145192582527612683212649924104975931249810775207<54>
18508771991638679821106961958491625172678176918433033635572012675660660693114828070050638042789310021443327360430922877120630673299<131>

Number: n
N=2101544185583035503693135559097305816630986869305359701870478297446292090090094191200826798988934501784653432443269670912311428879915710937915707365393867759925020654918918565546097893  ( 184 digits)
SNFS difficulty: 195 digits.
Divisors found:

Tue Aug 16 04:03:31 2022  p54 factor: 113543145192582527612683212649924104975931249810775207
Tue Aug 16 04:03:31 2022  p131 factor: 18508771991638679821106961958491625172678176918433033635572012675660660693114828070050638042789310021443327360430922877120630673299
Tue Aug 16 04:03:31 2022  elapsed time 01:16:23 (Msieve 1.54 - dependency 9)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 35x10^194-62 = 38(193)2
#
n: 2101544185583035503693135559097305816630986869305359701870478297446292090090094191200826798988934501784653432443269670912311428879915710937915707365393867759925020654918918565546097893
m: 500000000000000000000000000000000000000
deg: 5
c5: 56
c0: -31
skew: 0.89
# Murphy_E = 2.267e-11
type: snfs
lss: 1
rlim: 12600000
alim: 12600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12600000/12600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3389612 hash collisions in 28277492 relations (26488484 unique)
Msieve: matrix is 1601735 x 1601959 (555.9 MB)

Sieving start time : 2022/08/15 21:06:26
Sieving end time  : 2022/08/16 02:46:39

Total sieving time: 5hrs 40min 13secs.

Total relation processing time: 0hrs 50min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 18min 9sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12600000,12600000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

76680722795889778490360861702896837450284044941014331782787412111280143816366870064853569043707966615114184970148153247122543333683187408949163299484177873143<158>

7334966726186714313683085364815224266411<40>
10454133693903527339948351195726261918399832083221240149222045057564631195860215839592074720862826259069302219463171813<119>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 76680722795889778490360861702896837450284044941014331782787412111280143816366870064853569043707966615114184970148153247122543333683187408949163299484177873143 (158 digits)
Using B1=12150000, B2=35134690510, polynomial Dickson(12), sigma=1:3453623333
Step 1 took 28059ms
Step 2 took 11013ms
********** Factor found in step 2: 7334966726186714313683085364815224266411
Found prime factor of 40 digits: 7334966726186714313683085364815224266411
Prime cofactor 10454133693903527339948351195726261918399832083221240149222045057564631195860215839592074720862826259069302219463171813 has 119 digits

67893297762138909858977735854492714358524702677661148153222438009762845120836825520094318635267030907186595697650175337135858941831779631<137>

1326926783528983701026455922944796089776286545488270347<55>
51165820605094399326205477636522313712907633461035637213798959487114825992119956973<83>

67893297762138909858977735854492714358524702677661148153222438009762845120836825520094318635267030907186595697650175337135858941831779631=1326926783528983701026455922944796089776286545488270347*51165820605094399326205477636522313712907633461035637213798959487114825992119956973

cado polynomial
n: 67893297762138909858977735854492714358524702677661148153222438009762845120836825520094318635267030907186595697650175337135858941831779631
skew: 369761.523
c0: 83449757751387277779216700145712
c1: -2418597558813364468899759350
c2: -4654833119291821823771
c3: 7647755547194719
c4: -19410973190
c5: 35880
Y0: -328372144978673655137204795
Y1: 5359404187169731421
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 9.864e-08
# f(x) = 35880*x^5-19410973190*x^4+7647755547194719*x^3-4654833119291821823771*x^2-2418597558813364468899759350*x+83449757751387277779216700145712
# g(x) = 5359404187169731421*x-328372144978673655137204795

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

cado log (extracts)
Info:Square Root: Factors: 51165820605094399326205477636522313712907633461035637213798959487114825992119956973 1326926783528983701026455922944796089776286545488270347
Info:Square Root: Total cpu/real time for sqrt: 998.84/294.678
Info:Filtering - Singleton removal: Total cpu/real time for purge: 150.21/170.629
Info:Filtering - Merging: Merged matrix has 1510040 rows and total weight 257754981 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 406.55/112.501
Info:Filtering - Merging: Total cpu/real time for replay: 56.23/47.8558
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17405182
Info:Lattice Sieving: Average J: 3796.52 for 840771 special-q, max bucket fill -bkmult 1.0,1s:1.190240
Info:Lattice Sieving: Total time: 279568s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7121.96
Info:Polynomial Selection (root optimized): Rootsieve time: 7119.43
Info:Linear Algebra: Total cpu/real time for bwc: 35901.1/9229.87
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 22881.53, WCT time 5845.24, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (47360 iterations)
Info:Linear Algebra: Lingen CPU time 293.99, WCT time 74.66
Info:Linear Algebra: Mksol: CPU time 12458.23,  WCT time 3211.97, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (23808 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54836/40.170/49.178/55.040/0.946
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44202/39.660/44.131/49.860/1.245
Info:Polynomial Selection (size optimized): Total time: 11169.9
Info:Generate Factor Base: Total cpu/real time for makefb: 15.23/4.19018
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 253.61/230.835
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 202.79999999999998s
Info:Generate Free Relations: Total cpu/real time for freerel: 247.76/62.9582
Info:Square Root: Total cpu/real time for sqrt: 998.84/294.678
Info:Quadratic Characters: Total cpu/real time for characters: 51/24.1235
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 80.27/84.5839
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 84.3s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 578739/155319
Info:root: Cleaning up computation data in /tmp/cado.p22j78ds
51165820605094399326205477636522313712907633461035637213798959487114825992119956973 1326926783528983701026455922944796089776286545488270347

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)

4731120647689753354210092093317434005504097703557204353894543286473845357077740474211628305900488841884809707183249033771229256653011353563844680777481229091017055166520010926157026097<184>

26559414583500581280353457616825362052072422040272609753677041120964801<71>
178133468748548849532077838898631642129683570432040382282033459466397732663500924659925483710994201272630541520497<114>

Number: n
N=4731120647689753354210092093317434005504097703557204353894543286473845357077740474211628305900488841884809707183249033771229256653011353563844680777481229091017055166520010926157026097  ( 184 digits)
SNFS difficulty: 202 digits.
Divisors found:

Sun Jul  9 08:30:33 2023  prp71 factor: 26559414583500581280353457616825362052072422040272609753677041120964801
Sun Jul  9 08:30:33 2023  prp114 factor: 178133468748548849532077838898631642129683570432040382282033459466397732663500924659925483710994201272630541520497
Sun Jul  9 08:30:33 2023  elapsed time 03:22:47 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.023).
Factorization parameters were as follows:
#
# N = 35x10^201-62 = 38(200)2
#
n: 4731120647689753354210092093317434005504097703557204353894543286473845357077740474211628305900488841884809707183249033771229256653011353563844680777481229091017055166520010926157026097
m: 10000000000000000000000000000000000000000
deg: 5
c5: 175
c0: -31
skew: 0.71
# Murphy_E = 1.039e-11
type: snfs
lss: 1
rlim: 16400000
alim: 16400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16400000/16400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 33800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2826056 hash collisions in 16082996 relations (13894019 unique)
Msieve: matrix is 2514459 x 2514684 (713.8 MB)

Sieving start time: 2023/07/08 15:22:28
Sieving end time  : 2023/07/09 05:07:00

Total sieving time: 13hrs 44min 32secs.

Total relation processing time: 3hrs 14min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 23sec.

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

15052100569766788916349544533618630944765163696090144724804715413795852949619936671648132018703259029584398077977634048810979090798465467847016863884056911<155>

1143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673<205>

2281481056553450194764750885184260100518902810226410947723<58>
501336991770199278236344849636929171973370187554351972653093675698709469437848131689702862288639316988128756340428811622280588973784648558703134651<147>

Number: n
N=1143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673  ( 205 digits)
SNFS difficulty: 206 digits.
Divisors found:

Mon Jan  8 00:30:54 2024  prp58 factor: 2281481056553450194764750885184260100518902810226410947723
Mon Jan  8 00:30:54 2024  prp147 factor: 501336991770199278236344849636929171973370187554351972653093675698709469437848131689702862288639316988128756340428811622280588973784648558703134651
Mon Jan  8 00:30:54 2024  elapsed time 04:02:00 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
#
# N = 35x10^205-62 = 38(204)2
#
n: 1143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673
m: 10000000000000000000000000000000000
deg: 6
c6: 175
c0: -31
skew: 0.75
# Murphy_E = 6.683e-12
type: snfs
lss: 1
rlim: 19200000
alim: 19200000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19200000/19200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 56800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3371163 hash collisions in 17524529 relations (14998562 unique)
Msieve: matrix is 2721328 x 2721553 (771.5 MB)

Sieving start time: 2024/01/06 20:46:20
Sieving end time  : 2024/01/07 20:28:31

Total sieving time: 23hrs 42min 11secs.

Total relation processing time: 3hrs 52min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 27sec.

Prototype def-par.txt line would be:
snfs,206,6,0,0,0,0,0,0,0,0,19200000,19200000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1969349719783135024477154273028121590392172886024819730029264216581110572857644194606856276533282827062185574001834449223958685983135175845136611200887<151>

4842229079904308319730059166306095500282240040417443533713843093609927080664986153211276378611612177204052323875602784598179505171851<133>

10311606100321648581249263346432231512430634417586374944827<59>
469590191168499473711679207391860669787365119944387736989248034198348483313<75>

Number: 38882_211
N = 4842229079904308319730059166306095500282240040417443533713843093609927080664986153211276378611612177204052323875602784598179505171851 (133 digits)
Divisors found:
r1=10311606100321648581249263346432231512430634417586374944827 (pp59)
r2=469590191168499473711679207391860669787365119944387736989248034198348483313 (pp75)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 20.94 hours.
Factorization parameters were as follows:
n: 4842229079904308319730059166306095500282240040417443533713843093609927080664986153211276378611612177204052323875602784598179505171851
# norm 9.838907e-13 alpha -8.104288 e 5.415e-11 rroots 3
skew: 3035366.90
c0: -3982924224989285552316727752454320
c1: 113877728272885833155712273008
c2: -78631710593755649743952
c3: -8416020265040860
c4: 13000654359
c5: 540
Y0: -97842923692297894600531961
Y1: 41771246854493
type: gnfs
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 21426380
Relations: 2924242 relations
Pruned matrix : 1671006 x 1671232
Polynomial selection time: 0.31 hours.
Total sieving time: 18.18 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.44 hours.
time per square root: 0.82 hours.
Prototype def-par.txt line would be: gnfs,132,5,65,2000,1e-05,0.28,250,20,50000,3600,8400000,8400000,28,28,55,55,2.5,2.5,100000
total time: 20.94 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
processors: 8, speed: 2.19GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

2129002085392623282257532189107783971860136016941554375802154235105671750965009830930603754254672863507411389000913396180141869275753250752111816920366958231871336508701429<172>

292420570761174588933124601858949316847898075088957261831256921699345835131510971678299073422811688621686668150157996505356952694255361125953543795603301317959564116894638579119423408126327558060480293936479<207>

287657917586783242821390122134766264661066822026906382831370828811207338200504308138835435184462225142351332209576283919455907926567035379659547923469755276047<159>

362630184495255357026926493058812751677004009923136698877137391521511502287543729832969843197257703513602600128876695397130923856758093195998858730283356532340364856941045304507922132979969904181293873201403499<210>

44445166313950876055006232343041205187753489705477097864921460229562600044077852556838566235679637127297109996807695805192312455546183579350251647495974045202876294398812820124288796637<185>

166867326893694891251441932763939145985043033026284233785722905794474584973375222230728323230715688049605961996664470432043527181647412701190296012806880901821734668027395255676502867<183>

17130644267561703525479029548397623256292174905115032894835038693342268852496521998536089440747837495460225777537089105343279342311653577447<140>

86637987232020536017403511145710178597180261909645386168743<59>
197726711052105193097472586683467204364101390328984189614525756235478628136027329<81>

17130644267561703525479029548397623256292174905115032894835038693342268852496521998536089440747837495460225777537089105343279342311653577447=86637987232020536017403511145710178597180261909645386168743*197726711052105193097472586683467204364101390328984189614525756235478628136027329

cado polynomial
n: 17130644267561703525479029548397623256292174905115032894835038693342268852496521998536089440747837495460225777537089105343279342311653577447
skew: 611848.1
c0: -1171776682188821065540096024942341
c1: 1238495724245587600501783130
c2: 26566445045937205110233
c3: 240847898630826
c4: -32074291528
c5: 11760
Y0: -1078991547406862463598416124
Y1: 1567199238060983357
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 2.833e-07
# f(x) = 11760*x^5-32074291528*x^4+240847898630826*x^3+26566445045937205110233*x^2+1238495724245587600501783130*x-1171776682188821065540096024942341
# g(x) = 1567199238060983357*x-1078991547406862463598416124

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

cado log (extracts)
Info:Square Root: Factors: 86637987232020536017403511145710178597180261909645386168743 197726711052105193097472586683467204364101390328984189614525756235478628136027329
Info:Square Root: Total cpu/real time for sqrt: 768.72/230.181
Info:Filtering - Singleton removal: Total cpu/real time for purge: 144.89/164.993
Info:Filtering - Merging: Merged matrix has 1848075 rows and total weight 315744919 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 452.74/127.646
Info:Filtering - Merging: Total cpu/real time for replay: 75.18/66.4
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 32856642
Info:Lattice Sieving: Average J: 3866.68 for 789977 special-q, max bucket fill -bkmult 1.0,1s:1.141150
Info:Lattice Sieving: Total time: 286595s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 8383.52
Info:Polynomial Selection (root optimized): Rootsieve time: 8380.99
Info:Linear Algebra: Total cpu/real time for bwc: 55587.3/14270.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 35581.41, WCT time 9080.4, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (57856 iterations)
Info:Linear Algebra: Lingen CPU time 372.82, WCT time 94.62
Info:Linear Algebra: Mksol: CPU time 19291.77,  WCT time 4959.82, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (28928 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66378/42.200/50.101/55.190/0.940
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 54527/40.630/44.769/50.760/1.084
Info:Polynomial Selection (size optimized): Total time: 23449.8
Info:Generate Factor Base: Total cpu/real time for makefb: 11.31/3.15904
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 388.95/324.128
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 305.5s
Info:Generate Free Relations: Total cpu/real time for freerel: 506.05/127.547
Info:Square Root: Total cpu/real time for sqrt: 768.72/230.181
Info:Quadratic Characters: Total cpu/real time for characters: 74.23/33.6845
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 147.74/161.339
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 161.2s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 626679/168083
Info:root: Cleaning up computation data in /tmp/cado.zt1bqmej
86637987232020536017403511145710178597180261909645386168743 197726711052105193097472586683467204364101390328984189614525756235478628136027329

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)

52564037501222730867232974054625489377098848634971681821941532467762697076713254058816700353532273185154008505371406020678598816497492619117325814635507027972541055763061152243469118525853006575283<197>

16927202567667197051376727467464541646451<41>

3105299726348509293300069358959895108450418931970702481215257009573040092384323210089452450106557898187538924175624332048929387032933991001205506683778762433<157>

Resuming ECM residue saved by @d7bc3dfd8eb7 with GMP-ECM 7.0.5-dev on Wed Feb 28 17:34:26 2024 
Input number is 52564037501222730867232974054625489377098848634971681821941532467762697076713254058816700353532273185154008505371406020678598816497492619117325814635507027972541055763061152243469118525853006575283 (197 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3170003432
Step 1 took 0ms
Step 2 took 8715ms
********** Factor found in step 2: 16927202567667197051376727467464541646451
Found prime factor of 41 digits: 16927202567667197051376727467464541646451
Composite cofactor 3105299726348509293300069358959895108450418931970702481215257009573040092384323210089452450106557898187538924175624332048929387032933991001205506683778762433 has 157 digits

4303865197762317103854948467176201980693204560330937855531311117645193949806565740777857688348037758275419043938330331614257347811161910050209087286910191842779703635371518948034076761<184>

2902952937929896470855104317283079013<37>
1482581801974170109821923906470772672695837829205378916726157300685711497644356122403333627619609672236054700679057038025147130438057614930756762597<148>

GPU: factor 2902952937929896470855104317283079013 found in Step 1 with curve 1283 (-sigma 3:1267347152)
Computing 1792 Step 1 took 996ms of CPU time / 654275ms of GPU time
Throughput: 2.739 curves per second (on average 365.11ms per Step 1)
********** Factor found in step 1: 2902952937929896470855104317283079013
Found prime factor of 37 digits: 2902952937929896470855104317283079013
Prime cofactor 1482581801974170109821923906470772672695837829205378916726157300685711497644356122403333627619609672236054700679057038025147130438057614930756762597 has 148 digits
Peak memory usage: 9470MB

49455803877385892813899307813742886171193554218779306979494125908089808009460697458528411751727681987537759153004642147835606307949308309713947912977793581026651054458498653488023174933176024312360144285470882415039379961<221>

1910221424613677438922569676246536807170190233916139026090067742588081992887177043569726246431456049305006666477901480989650119552011148591214993647378485078601425942259420319379974091<184>

8916664819814069131689642913537658787138567324832292320425507835676731934151554575706127586323851803524363705969897182455893557737649669374381020722134932256004977731312643955938633193682965572384471115221581757<211>

232303662141129502669773741232906344911579242092005247313591298722981037188934841701409766411421965369919289247450974484518498338077609087072041506964336884509612245978425486404617325859624663090108651<201>

3313223927533454803033780161038580242382135023203984111345917377796314080635418374204527919323373467354800177648006058936237811546671339970012570538573055400011800703417514927777448453437692302789245845096969498643023<217>

37899766184763874533712189490895860845623334303843735680595333560450876211292502932097704904719963500774430761331686622816006059010612328498826221660405496748285453338857647904519062293<185>

304380264341042098788580000856547636240129974537173610614341403539634928533251160944387739711290121557271172267750615523434697418804635242708739899946480380555649940518836135523475027232118712473290562271<204>

163128745758714799174566149408582791617561325416784773239870622143073697953568193211707304591144402894126416265481095712447913533813041256320208237765036550870899262363<168>

21120924360653337515257946991246705915712159995834654236467994582968876073429668815902172393259469930175337179885801214547800536764080963765780646328235172979098193287177<170>

82776167305951973340572113894305536599221984154654003612108815803199777643726741395826914071121673652783619587533727758364898168184277113443929870420943691719840054440494597513872872942157696771327088293432049182139988423284725659<230>

10722028878769130627631282941872436917495668408660951600925453286334553794867457796548806641515498824065736371<110>

440876950053441586864122171306219013494624581<45>
24319776476110722460240157186200539372562402505763377559272989591<65>

08/01/22 12:38:13 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing nfs on c110: 10722028878769130627631282941872436917495668408660951600925453286334553794867457796548806641515498824065736371
08/01/22 12:38:13 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing poly selection with 46 threads
08/01/22 12:38:13 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: setting deadline of 73 seconds
08/01/22 12:39:38 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: completed 181 ranges of size 250 in 84.5393 seconds
08/01/22 12:39:38 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: best poly = # norm 2.256400e-010 alpha -6.715632 e 1.073e-009 rroots 3
08/01/22 12:39:38 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 12:40:45 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 12:41:58 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 12:43:05 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 12:44:17 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 12:45:24 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 12:46:30 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 12:47:42 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 12:48:49 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 12:49:57 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 12:51:39 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 12:52:59 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 12:54:09 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 12:55:18 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing msieve filtering
08/01/22 12:55:57 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: raising min_rels by 5.00 percent to 4977204
08/01/22 12:55:57 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 12:57:15 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing msieve filtering
08/01/22 12:57:57 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: raising min_rels by 5.00 percent to 5372839
08/01/22 12:57:57 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 12:59:04 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing msieve filtering
08/01/22 13:00:03 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing msieve linear algebra
08/01/22 13:02:49 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing msieve sqrt
08/01/22 13:03:58 v1.34.5 @ DESKTOP-M5CJ3QV, prp65 = 24319776476110722460240157186200539372562402505763377559272989591
08/01/22 13:03:58 v1.34.5 @ DESKTOP-M5CJ3QV, prp45 = 440876950053441586864122171306219013494624581
08/01/22 13:03:58 v1.34.5 @ DESKTOP-M5CJ3QV, NFS elapsed time = 1545.0347 seconds.
08/01/22 13:03:58 v1.34.5 @ DESKTOP-M5CJ3QV, 
08/01/22 13:03:58 v1.34.5 @ DESKTOP-M5CJ3QV, 

Yafu

812544114606502418435536362531906215386051867272980325607807730971134264186913596077409726219973860492175899443410557498921219660513036919756890626059662418601825922636964365927726574906251506046754063<201>

194444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441<243>

763109200087521323440568716642975562539<39>
254805530351545397707302166769876550234919998690275015158368079236052313029370939685200316763630713240986164503616186815268895564164497465201806380953282475229557074743789394111974813539810400646769775819<204>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4029972239
Step 1 took 11531ms
Step 2 took 4797ms
********** Factor found in step 2: 763109200087521323440568716642975562539
Found prime factor of 39 digits: 763109200087521323440568716642975562539
Prime cofactor 254805530351545397707302166769876550234919998690275015158368079236052313029370939685200316763630713240986164503616186815268895564164497465201806380953282475229557074743789394111974813539810400646769775819 has 204 digits
 

GMP-ECM

58232151138993494899188994417425340664372680969377614046332968344162168386789385712009279385631850433869268176454189002302075731851542230514922525831205609703492278482291396492327770315213221800154705935141730323<212>

536865044342471375229789952577956728616449353384685593646317432103006656877477670002560052793805691888677468141061045486659707043402442849457467104590822794151065477687807055661102083856257920263<195>

1085181627422981571704981829914861234081274939435471795940248940123330473275311209199400800846290854209191618884597113931239948093278108630872896464297102598894320594442648069536421667<184>

2920112314547290678929165452103225296347900588216528488617571943868865098045887038161059858806880313712010757239179259214288164277345355559065054185023066638161811715292144418546846442123359546818985176332661033<211>

6340500115980372589099231415121478945121915326494801088186150076498126920321035761082415653532553225185921963563327099532447146678422384634604870236745400395080167015136746831074374121126300891282964463784576286411<214>

5006332628104790274876420890229317010861831669671898784155361754023431053457335034120779449337089680974546415180803014865167131599140708219293500590363892340939254450743406635856193144153825487678217883178326215034128942231775792014905244349073<244>

2943711011640526679560979209235765631961684676761184735908569752314794728015605012051332444839164389325721320714496453498455961879507085376780168961294011181047350508889027336449998941739003674633774605743177626174991393277533115413061681<238>

56000469717078041693719850791409235205650486469514541463680244040133182455242025212725914275664166786736479382770129115524284262089633729063709096559570836171319176849141156259599646062540255372023663364238997<209>

1494221923739743138977871833717706643<37>
37478013692182950391906928958322755722056811424112581349053536547854077024333873660730173047282597050913367207473187915186577988482107316199116834876273689999788442325799479<173>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3743770632
Step 1 took 16168ms
Step 2 took 7199ms
********** Factor found in step 2: 1494221923739743138977871833717706643
Found prime factor of 37 digits: 1494221923739743138977871833717706643
Prime cofactor 37478013692182950391906928958322755722056811424112581349053536547854077024333873660730173047282597050913367207473187915186577988482107316199116834876273689999788442325799479 has 173 digits

284270920820362947600120636209269634690185753582913737932237796769465144092459536425679392758630482953839910480542127841988051833429848394204652666815741505012134412311520299299036514826794503<192>

70310183539879397497078084265296296585570738989160068032527153435238299673395694004827511285580541186048809051799048498973175570976784705496313281759670334680244071586643469002706270635772576667679822875761566164388695137725821169994844056196482991<248>

61851397352679401806053699971070232878227<41>
1136759823532645882459685894521473480694067271073229225814263916603408820226026409969755463249564770999549880807143852102199231398085747193150738726015506323076849733433717901826101018142414491670159955244533<208>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 70310183539879397497078084265296296585570738989160068032527153435238299673395694004827511285580541186048809051799048498973175570976784705496313281759670334680244071586643469002706270635772576667679822875761566164388695137725821169994844056196482991 (248 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:629561961
Step 1 took 12414ms
Step 2 took 5199ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1778865235
Step 1 took 12343ms
Step 2 took 5178ms
Run 3 out of 0:
...
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3801292002
Step 1 took 12266ms
Step 2 took 5195ms
Run 23 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2301505440
Step 1 took 12280ms
Step 2 took 5193ms
** Factor found in step 2: 61851397352679401806053699971070232878227
Found prime factor of 41 digits: 61851397352679401806053699971070232878227
Prime cofactor 1136759823532645882459685894521473480694067271073229225814263916603408820226026409969755463249564770999549880807143852102199231398085747193150738726015506323076849733433717901826101018142414491670159955244533 has 208 digits

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

3402846866792016250614249644406610486884907069652291067501934133250707621672369525127114283218303960450289779802130813905461984457802437285920619764186573010912588028323682680530949670310887846126708917426467971917225908209<223>

648148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147<261>

27796456982200972351435920474169611096211707949678023607787900876291085169376886729806136676921033382180060460188861935648877704750171529517831274971945773478459690823422392170709582131091<188>

529186781061966421561980741810636225049<39>
52526740986272062937648500591091793681877423204106530655664237610082976537656050814826507933776798988867439732327294313755183409036431902120259486859<149>

GPU: factor 529186781061966421561980741810636225049 found in Step 1 with curve 297 (-sigma 3:1331490078)
Computing 1792 Step 1 took 1016ms of CPU time / 654326ms of GPU time
Throughput: 2.739 curves per second (on average 365.14ms per Step 1)
********** Factor found in step 1: 529186781061966421561980741810636225049
Found prime factor of 39 digits: 529186781061966421561980741810636225049
Prime cofactor 52526740986272062937648500591091793681877423204106530655664237610082976537656050814826507933776798988867439732327294313755183409036431902120259486859 has 149 digits
Peak memory usage: 9470MB

14649389761657691737273593414589988750553777112860342661749725420864465632822734895034181752149673189673967595529999279490793354582079503471159731003905643934628575405528548279106843797962305277460657710034178836206269855821941605363507<236>

8218333697400575355418411544022591224943304598720762571425083295956641903028952712995185850334841323204289851522572174880966097611513386469627357725196963981348263580030057969330653906881576625359224250161638692521776175451<223>

2151497411998656585629579857673325378977567082909854337295869041011394896921392422240421771397186601401308921091069686471760168994256432253295675988305068084229462681480129428576211268644382950672909673363462533138996731998401570540319887<238>

3020242730065601713262606432610722776555733<43>
712359106300017352511955071828152720526884378748222742478281344710081817964436994233827258961774009179929874394991962694450125344585002486316306799223429478019617215167897255864970131609725981139<195>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 2151497411998656585629579857673325378977567082909854337295869041011394896921392422240421771397186601401308921091069686471760168994256432253295675988305068084229462681480129428576211268644382950672909673363462533138996731998401570540319887 (238 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:502087345
Step 1 took 12519ms
Step 2 took 5148ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2064356656
Step 1 took 12398ms
Step 2 took 5109ms
Run 3 out of 0:
...
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2304094344
Step 1 took 12289ms
Step 2 took 5106ms
Run 10 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2490435650
Step 1 took 12444ms
Step 2 took 5108ms
** Factor found in step 2: 3020242730065601713262606432610722776555733
Found prime factor of 43 digits: 3020242730065601713262606432610722776555733
Prime cofactor 712359106300017352511955071828152720526884378748222742478281344710081817964436994233827258961774009179929874394991962694450125344585002486316306799223429478019617215167897255864970131609725981139 has 195 digits

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

20682123749341283348486426361251240323090556306948351387013431073319531605112666896357958893298383269843748812304714661224844515888414367324524289366882060682340305561987076972580267817826927159029431887465616069895773917597234771583019<236>

2373391058526890184724909063238515467393717369548990940893840069950398957881480219259096717303860224039786694699605332729662313998889308146318026265851549592025761189797884387281071303420446759526784861728732201687856841268196601351505169180183<244>

202070726278147548779244227903238716584010504259174744035756773923321892332365580743727967306065171021538023571298543628745138352301737414567672359904828468726133824642119463444951384520872255559082358645904835061153<216>

6069272958334390023934847490121530771546432629352721728770026534384672714062502048779603324502334046701011163856976169547281407292378896112313868995365913911573777913106857795450493106043446121967294437820988101<211>

1339965459451177498284793730541243138954776930319948306859006264160519955097497736666542352235234931279311594965412291203696159361581312496222693373818182324273745586700756788165888231721759362641467483546587511779347090664785823752492597323<241>

61560717249283595212824167582814970458599874302902172699240520642001198995796908409529858130868487340162601403073707497373391293917680288430088045180907476947873548152417311146743591933696560757498631717608806144305548406865846752982125460063795891523<251>

112871877438883402887305070316028684833<39>

545403502148857241410808630703500417088358189727320401832823336840854961086891058128614809479115594202515969528749872526533078720563789946702217831611213400935474458624102724466317633371470793714401161060717064931<213>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 61560717249283595212824167582814970458599874302902172699240520642001198995796908409529858130868487340162601403073707497373391293917680288430088045180907476947873548152417311146743591933696560757498631717608806144305548406865846752982125460063795891523 (251 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:964422056
Step 1 took 13953ms
Step 2 took 5777ms
** Factor found in step 2: 112871877438883402887305070316028684833
Found prime factor of 39 digits: 112871877438883402887305070316028684833
Composite cofactor 545403502148857241410808630703500417088358189727320401832823336840854961086891058128614809479115594202515969528749872526533078720563789946702217831611213400935474458624102724466317633371470793714401161060717064931 has 213 digits

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

21994827544768795932101985704850902705718004968613483045826339895476884541820163225187371349207049259606329009520682807062547731652686820755131915447704909095556993020045513654337190574579149944012431694567586524941824066550262737496468014818422251<248>

142704923541399007341118885750024671271219553995954293922787395686274079848496028006062354006022964289004645411740440300210118285135531859363827166515934785944916964382532947030267522030105002326042836670219223272367022925611<225>

253699862305422053772527623714964499056314602138059651091676556672599329807207451618870166877710990138585387413985591199312154972268346815807359937093305358316220373083918582110497583790068529138530341866189168218381108061556945081314907760646378566731987<255>

41407112689871375255161587115520361498564380331190969631975504391103262243054474080653208402147728178060232085896418535492921474247225447019489038005373390327787404744414205225501933528447118526846948095775247718960517719783692001416285450746963<245>

3098804957973697540738443182190629510788058673014060508874899803001794572847342356681223495096644396186671435339532273835083797220059750502750103317976359037431532279827973766615087201856685439160084482112124844044560415808421892635966794186126316817993697061509421936371641<274>

22761395892973017276955805504778809682619224450396980743655441516351588922249475654673560132056369245147828257412790595316509763163577523632094892438370090248508057234666465766030807282008400946391620383589173499460724852028332806429054074463<242>

136783335503761871851460810262500503988377470319688070838363977780703096853139918512321146912689874844358348522670396989812844275439676319028030401811664228820128221468902554673853579722834741468810424922032923498563031677407450101885703660392232086712106811<258>

269400640804446677972848090967041774965984023112401615934518364191992038019814840361637898988967873504175363483933635645127537425506363701526681901508615477520069862145891197023872973708489762658988628448177355071915233233<222>

21483157002339327035333318570472595947895832237780856175965250137314722131478285036638049618310915429818668197242643237813731106125394147576333878805147901132950891387205670684574167423701444691574329876381685094828119089068750100335454782214771688809342809380969<263>

37641831323634317867700595908995146420422918347604485735420365014347297712217429522438509966880748497463934148463106693157058596854061121829289796433579323493343183641162276776540850601840676739301018870475014389737950011025082701262842998067578227<248>

760684625267663722404796590886628965927355001914153476177872576076228646681768472108073539848000562150547525542400571200755965969881083941294763849072199429592927497651822916211133581135939314519907078120056995861<213>

734421162273704935279999426748495508301086072151713869307644795198780796731303248633039212175579782982204194169386703398761651105498666408489271774486304099367780134416376474839712711201872771348181571100104539497445765861633589947144738846803804776644252034701006990456639559<276>

724295626656628778113416329858988313077346201147541801282247131005521308853686766250045785148979612981391747169798149892178327203522308689548021477700017898455715399263367516726420348632150788336209982444614637477082521098197078119206985101657902375649<252>

1520239003256915203139581430971158046853974766253844011367873115041443404878312572186120814329675806195142411237452804294266336802668485922497417265647994531545282815910423471358917139865389895573214386286867442212974189<220>

26419781092891231446007606724777545109051959<44>

57541695667795135511028280887760513387302081424879412747496004120584188040558671445565305930895404679140742098767973352877363321678222774354892542878447723547739991719046158971<176>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3940195905
Step 1 took 15602ms
Step 2 took 6862ms
********** Factor found in step 2: 26419781092891231446007606724777545109051959
Found prime factor of 44 digits: 26419781092891231446007606724777545109051959
Composite cofactor 57541695667795135511028280887760513387302081424879412747496004120584188040558671445565305930895404679140742098767973352877363321678222774354892542878447723547739991719046158971 has 176 digits

57541695667795135511028280887760513387302081424879412747496004120584188040558671445565305930895404679140742098767973352877363321678222774354892542878447723547739991719046158971<176>

2752360185594266477285190206059598468150983<43>

20906310143914255258990646432066680688904974438696244682518860710892226513889452345546345491979307849090393849046936127886898469272237<134>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1333945357
Step 1 took 31219ms
Step 2 took 13500ms
********** Factor found in step 2: 2752360185594266477285190206059598468150983
Found prime factor of 43 digits: 2752360185594266477285190206059598468150983
Composite cofactor 20906310143914255258990646432066680688904974438696244682518860710892226513889452345546345491979307849090393849046936127886898469272237 has 134 digits

GMP-ECM

20906310143914255258990646432066680688904974438696244682518860710892226513889452345546345491979307849090393849046936127886898469272237<134>

210822499224731251557748058886200830314077029318757048395456267<63>
99165460142034827554013478644454922286592155994896365064259835362639911<71>

20906310143914255258990646432066680688904974438696244682518860710892226513889452345546345491979307849090393849046936127886898469272237=210822499224731251557748058886200830314077029318757048395456267*99165460142034827554013478644454922286592155994896365064259835362639911

cado polynomial
n: 20906310143914255258990646432066680688904974438696244682518860710892226513889452345546345491979307849090393849046936127886898469272237
skew: 70269.181
c0: 132647926387848828064441716669
c1: 5279879250929309923619639
c2: -385810971613808031889
c3: -2023970511953254
c4: 30956857323
c5: 130860
Y0: -43692673591307283655748014
Y1: 608585854874659379
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.399e-07
# f(x) = 130860*x^5+30956857323*x^4-2023970511953254*x^3-385810971613808031889*x^2+5279879250929309923619639*x+132647926387848828064441716669
# g(x) = 608585854874659379*x-43692673591307283655748014

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

cado log (extracts)
Info:Square Root: Factors: 99165460142034827554013478644454922286592155994896365064259835362639911 210822499224731251557748058886200830314077029318757048395456267
Info:Square Root: Total cpu/real time for sqrt: 433.88/131.893
Info:Filtering - Singleton removal: Total cpu/real time for purge: 89.18/97.1122
Info:Filtering - Merging: Merged matrix has 1285262 rows and total weight 218557691 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 324.75/89.818
Info:Filtering - Merging: Total cpu/real time for replay: 46.72/39.6608
Info:Generate Factor Base: Total cpu/real time for makefb: 14.59/4.0271
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17020574
Info:Lattice Sieving: Average J: 3796.73 for 587275 special-q, max bucket fill -bkmult 1.0,1s:1.264040
Info:Lattice Sieving: Total time: 196477s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6078.06
Info:Polynomial Selection (root optimized): Rootsieve time: 6075.57
Info:Linear Algebra: Total cpu/real time for bwc: 25941.1/6713.16
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 16479.96, WCT time 4245.69, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40192 iterations)
Info:Linear Algebra: Lingen CPU time 243.91, WCT time 61.91
Info:Linear Algebra: Mksol: CPU time 8997.04,  WCT time 2323.96, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (20224 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54086/39.140/47.904/53.710/0.974
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44230/38.550/42.709/48.510/1.013
Info:Polynomial Selection (size optimized): Total time: 11540.3
Info:Generate Free Relations: Total cpu/real time for freerel: 251.47/63.4703
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 185.99/156.501
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 145.1s
Info:Square Root: Total cpu/real time for sqrt: 433.88/131.893
Info:Quadratic Characters: Total cpu/real time for characters: 43.96/20.1933
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 75.36/80.679
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 80.6s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 412589/110905
Info:root: Cleaning up computation data in /tmp/cado.056bvag_
99165460142034827554013478644454922286592155994896365064259835362639911 210822499224731251557748058886200830314077029318757048395456267

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)

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85292124205884615890343945462946186044721744473740138144838778692107936658362045708150386407178911982499729799112864386967753780946919786488818189463430907847897425961781407528536965617526378405025141774040969812480113727765169<227>

321683493566463705719418828676222979193515580328396917274695087833215937601392010224320022908523983594735805835892271872902851553658197206268645532308324255202176867379682895079695488198836739073796716801563698162941380457005592386777103821232809193678073316992836405540263743414296891409<288>