13055555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557<110>

3393088180384591046673391590715900199<37>
3847691206797863993931675488974306433322290870237433529184742853678753043<73>

N=13055555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557
  ( 110 digits)
SNFS difficulty: 110 digits.
Divisors found:
 r1=3393088180384591046673391590715900199 (pp37)
 r2=3847691206797863993931675488974306433322290870237433529184742853678753043 (pp73)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.34 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 13055555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557
m: 1000000000000000000000000000
deg: 4
c4: 235
c0: 26
skew: 0.58
# Murphy_E = 1.077e-07
type: snfs
lss: 1
rlim: 480000
alim: 480000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 480000/480000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [240000, 480001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 43261 x 43486
Total sieving time: 0.33 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,110.000,4,0,0,0,0,0,0,0,0,480000,480000,25,25,44,44,2.2,2.2,20000
total time: 0.34 hours.
 --------- CPU info (if available) ----------

637448374369267321486293117544242599160470026087509876837142833947203609760766423934704737<90>

19857719857863911815947260605837863089<38>
32100783923428630074548707573017621512466504142445233<53>

P53 = 32100783923428630074548707573017621512466504142445233
P38 = 19857719857863911815947260605837863089

2532160957831948200788137331055119706322718395184842142073233402392787728834396729551939912513797144029<103>

1213184473943113590533295752782769<34>
2087201915469519620304031231740626690929253922148048325875532674114541<70>

Number: 1
N=2532160957831948200788137331055119706322718395184842142073233402392787728834396729551939912513797144029
  ( 103 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=1213184473943113590533295752782769 (pp34)
 r2=2087201915469519620304031231740626690929253922148048325875532674114541 (pp70)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.00 hours.
Scaled time: 7.76 units (timescale=7.800).
Factorization parameters were as follows:
n: 2532160957831948200788137331055119706322718395184842142073233402392787728834396729551939912513797144029
m: 500000000000000000000000000000
deg: 4
c4: 94
c0: 65
skew: 0.91
# Murphy_E = 3.265e-08
type: snfs
lss: 1
rlim: 720000
alim: 720000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 720000/720000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [360000, 660001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 75032 x 75257
Total sieving time: 0.99 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,120.000,4,0,0,0,0,0,0,0,0,720000,720000,25,25,46,46,2.2,2.2,50000
total time: 1.00 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

173775847865574915091597211960872095426701181075761979740344754355487986904559407996770229<90>

1351928947943303407583325841991832881<37>
128539187011226457580922644290401043450349122223610309<54>

prp37 = 1351928947943303407583325841991832881
prp54 = 128539187011226457580922644290401043450349122223610309

Yafu

4591545850395322328472547049668021465769927992837970013102513392660013419036978942584575297639632817009117833134236089863<121>

14236449381456763259581883042353768764776519<44>
322520435213002977571777472285779395809933388460309139285311803092182051034177<78>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 4591545850395322328472547049668021465769927992837970013102513392660013419036978942584575297639632817009117833134236089863 (121 digits)
Using B1=20460000, B2=70272629710, polynomial Dickson(12), sigma=1:937118362
Step 1 took 31419ms
Step 2 took 14083ms
********** Factor found in step 2: 14236449381456763259581883042353768764776519
Found prime factor of 44 digits: 14236449381456763259581883042353768764776519
Prime cofactor 322520435213002977571777472285779395809933388460309139285311803092182051034177 has 78 digits

861932615646987627507758568316911807946328208911861431269721258361952722619431446455973<87>

2632132434803739055541961324490266400273529<43>
327465519686609659395384881969941529896042637<45>

P43 = 2632132434803739055541961324490266400273529
P45 = 327465519686609659395384881969941529896042637

53168395994547953176099504100554964939917561283920523190562740630256047949994414422363577311587236201489282333449<113>

19072072213803598140032962186789868209<38>
2787761885468680660667236776542835779301745272789859153151445506082357990361<76>

Number: 1
N=53168395994547953176099504100554964939917561283920523190562740630256047949994414422363577311587236201489282333449
  ( 113 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=19072072213803598140032962186789868209 (pp38)
 r2=2787761885468680660667236776542835779301745272789859153151445506082357990361 (pp76)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.72 hours.
Scaled time: 21.22 units (timescale=7.806).
Factorization parameters were as follows:
n: 53168395994547953176099504100554964939917561283920523190562740630256047949994414422363577311587236201489282333449
m: 500000000000000000000000000000000
deg: 4
c4: 94
c0: 65
skew: 0.91
# Murphy_E = 8.627e-09
type: snfs
lss: 1
rlim: 1140000
alim: 1140000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1140000/1140000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [570000, 1270001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 167702 x 167929
Total sieving time: 2.69 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,132.000,4,0,0,0,0,0,0,0,0,1140000,1140000,26,26,47,47,2.3,2.3,100000
total time: 2.72 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

122506918022818482022757486142139833471082238834676480165549587394781497255006132019842553<90>

117656377494778925222703416669453556111417479<45>
1041226329004178311937050037314921666566503807<46>

P45 = 117656377494778925222703416669453556111417479
P46 = 1041226329004178311937050037314921666566503807

118686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868687<144>

58004048272424951526760397397190292099927<41>
2046182503149392567106839584831598238322321605812950745885515942516468610660227732053412547394993879881<103>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 118686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868687 (144 digits)
Using B1=17660000, B2=58560416470, polynomial Dickson(12), sigma=1:2766579151
Step 1 took 35204ms
Step 2 took 14995ms
********** Factor found in step 2: 58004048272424951526760397397190292099927
Found prime factor of 41 digits: 58004048272424951526760397397190292099927
Prime cofactor 2046182503149392567106839584831598238322321605812950745885515942516468610660227732053412547394993879881 has 103 digits

15768712075489914776444414013192258403573730734746591825283592128578525513435103735200771240965857230827434453<110>

5757267695051793677662243713333214052282633577037901<52>
2738922855548764940471014381367019989942325886036047395753<58>

15768712075489914776444414013192258403573730734746591825283592128578525513435103735200771240965857230827434453=5757267695051793677662243713333214052282633577037901*2738922855548764940471014381367019989942325886036047395753

cado polynomial
n: 15768712075489914776444414013192258403573730734746591825283592128578525513435103735200771240965857230827434453
skew: 0.64
type: snfs
c0: 26
c5: 235
Y0: 100000000000000000000000000000
Y1: -1
# f(x) = 235*x^5+26
# g(x) = -x+100000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2000000
tasks.lim1 = 2000000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 5757267695051793677662243713333214052282633577037901 2738922855548764940471014381367019989942325886036047395753
Info:Square Root: Total cpu/real time for sqrt: 38.53/11.9173
Info:Generate Free Relations: Total cpu/real time for freerel: 30.42/9.15193
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6111132
Info:Lattice Sieving: Average J: 1893.26 for 92365 special-q, max bucket fill -bkmult 1.0,1s:1.210300
Info:Lattice Sieving: Total time: 9272.47s
Info:Linear Algebra: Total cpu/real time for bwc: 599.85/156.37
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 357.17, WCT time 91.57, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6784 iterations)
Info:Linear Algebra: Lingen CPU time 29.11, WCT time 7.42
Info:Linear Algebra: Mksol: CPU time 195.43,  WCT time 50.17, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3328 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.29/49.4234
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 37.2s
Info:Generate Factor Base: Total cpu/real time for makefb: 0.88/0.505209
Info:Quadratic Characters: Total cpu/real time for characters: 6.81/2.66919
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.02/22.0033
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 21.9s
Info:Square Root: Total cpu/real time for sqrt: 38.53/11.9173
Info:Filtering - Singleton removal: Total cpu/real time for purge: 40.34/37.2889
Info:Filtering - Merging: Merged matrix has 212856 rows and total weight 36314193 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 43.03/11.9378
Info:Filtering - Merging: Total cpu/real time for replay: 6.74/5.61236
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 17496.6/5078.77
Info:root: Cleaning up computation data in /tmp/cado.ql08v3vp
5757267695051793677662243713333214052282633577037901 2738922855548764940471014381367019989942325886036047395753

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)

4221745538942218463912792265295613788745869132777733246873359673238413912182266022688755181294329457141753897409635900071<121>

942821950420954138943122323498577973724756301<45>
4477776039322461793448551674772192834446718621658570392119011305948939192771<76>

4221745538942218463912792265295613788745869132777733246873359673238413912182266022688755181294329457141753897409635900071=942821950420954138943122323498577973724756301*4477776039322461793448551674772192834446718621658570392119011305948939192771

cado polynomial
n: 4221745538942218463912792265295613788745869132777733246873359673238413912182266022688755181294329457141753897409635900071
skew: 0.41
type: snfs
c0: 13
c5: 1175
Y0: 100000000000000000000000000000
Y1: -1
# f(x) = 1175*x^5+13
# g(x) = -x+100000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2100000
tasks.lim1 = 2100000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 942821950420954138943122323498577973724756301 4477776039322461793448551674772192834446718621658570392119011305948939192771
Info:Square Root: Total cpu/real time for sqrt: 41.47/27.1873
Info:Generate Factor Base: Total cpu/real time for makefb: 0.94/1.12813
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6054789
Info:Lattice Sieving: Average J: 1893.32 for 95520 special-q, max bucket fill -bkmult 1.0,1s:1.234510
Info:Lattice Sieving: Total time: 18732.4s
Info:Linear Algebra: Total cpu/real time for bwc: 959.9/769.78
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 400.83, WCT time 319.91, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7040 iterations)
Info:Linear Algebra: Lingen CPU time 316.81, WCT time 252.25
Info:Linear Algebra: Mksol: CPU time 222.15,  WCT time 179.99, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (3584 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 30.95/21.1251
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 52.01/79.6209
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 71.8s
Info:Quadratic Characters: Total cpu/real time for characters: 7.19/2.91188
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.52/40.4197
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.2s
Info:Square Root: Total cpu/real time for sqrt: 41.47/27.1873
Info:Filtering - Singleton removal: Total cpu/real time for purge: 39.81/58.9747
Info:Filtering - Merging: Merged matrix has 224339 rows and total weight 38188111 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 49.03/36.7618
Info:Filtering - Merging: Total cpu/real time for replay: 7.75/8.42851
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 18694.3/10662.3
Info:root: Cleaning up computation data in /tmp/cado.e18ovcy_
942821950420954138943122323498577973724756301 4477776039322461793448551674772192834446718621658570392119011305948939192771

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)

11270840551568124785875385300312171306138827356636782841743699377776137032201339063989186666348436241276649480944983229<119>

1841677540205732751504828726241093881843385177834944229<55>
6119877288783717041139568815605181731960278762541291789938891001<64>

Number: 1
N=11270840551568124785875385300312171306138827356636782841743699377776137032201339063989186666348436241276649480944983229
  ( 119 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=1841677540205732751504828726241093881843385177834944229 (pp55)
 r2=6119877288783717041139568815605181731960278762541291789938891001 (pp64)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.30 hours.
Scaled time: 72.24 units (timescale=7.770).
Factorization parameters were as follows:
n: 11270840551568124785875385300312171306138827356636782841743699377776137032201339063989186666348436241276649480944983229
m: 1000000000000000000000000000000
deg: 5
c5: 235
c0: 26
skew: 0.64
# Murphy_E = 1.178e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 1900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 406840 x 407068
Total sieving time: 9.22 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 9.30 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

363407478825577988608600325315360618773720463008694858109936769098462056934623660268558217456853953<99>

97699122957633931212994820332531546330508195377<47>
3719659581623525344315583137729917297043955456070289<52>

prp52 = 3719659581623525344315583137729917297043955456070289
prp47 = 97699122957633931212994820332531546330508195377

Yafu

2487936203638704783048930386516315962059024988840145112460591227578791759536916563757128414342430577<100>

58046767216189533133086798169349144975762358143<47>
42860891707760892438338757618310152724050817086241039<53>

2487936203638704783048930386516315962059024988840145112460591227578791759536916563757128414342430577=58046767216189533133086798169349144975762358143*42860891707760892438338757618310152724050817086241039

cado polynomial
n: 2487936203638704783048930386516315962059024988840145112460591227578791759536916563757128414342430577
skew: 70332.409
c0: 20196406717525878877801830
c1: -2237782567127959214983
c2: -13961766274458289
c3: 267259390944
c4: 2293200
Y0: -284042668680141879898573
Y1: 79802059379093
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=2.206e+12) = 2.673e-06
# f(x) = 2293200*x^4+267259390944*x^3-13961766274458289*x^2-2237782567127959214983*x+20196406717525878877801830
# g(x) = 79802059379093*x-284042668680141879898573

cado parameters (extracts)
tasks.lim0 = 919082
tasks.lim1 = 1051872
tasks.lpb0 = 24
tasks.lpb1 = 25
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 50
tasks.I = 11
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 42860891707760892438338757618310152724050817086241039 58046767216189533133086798169349144975762358143
Info:Square Root: Total cpu/real time for sqrt: 116.35/34.5855
Info:Filtering - Singleton removal: Total cpu/real time for purge: 10.02/10.3045
Info:Filtering - Merging: Merged matrix has 185920 rows and total weight 31693263 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 39.36/10.9802
Info:Filtering - Merging: Total cpu/real time for replay: 6.3/5.18302
Info:Generate Factor Base: Total cpu/real time for makefb: 0.73/0.217813
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2395474
Info:Lattice Sieving: Average J: 960.652 for 92035 special-q, max bucket fill -bkmult 1.0,1s:1.350220
Info:Lattice Sieving: Total time: 3270.87s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 61.42
Info:Polynomial Selection (root optimized): Rootsieve time: 61.05
Info:Linear Algebra: Total cpu/real time for bwc: 497.22/129.66
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 294.72, WCT time 75.62, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5888 iterations)
Info:Linear Algebra: Lingen CPU time 25.18, WCT time 6.47
Info:Linear Algebra: Mksol: CPU time 161.01,  WCT time 41.32, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2944 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 5781.44
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 5877/32.490/37.941/38.770/0.691
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 3369/32.250/36.398/38.760/1.004
Info:Polynomial Selection (size optimized): Total time: 104.18
Info:Generate Free Relations: Total cpu/real time for freerel: 24.42/6.82427
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 19.57/18.3954
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 13.3s
Info:Square Root: Total cpu/real time for sqrt: 116.35/34.5855
Info:Quadratic Characters: Total cpu/real time for characters: 6.23/2.43706
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9.34/8.5865
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 8.5s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 6801.4/1966.34
Info:root: Cleaning up computation data in /tmp/cado.gqb9m0m1
42860891707760892438338757618310152724050817086241039 58046767216189533133086798169349144975762358143

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)

2839596951330412676159925027293782977493047645616579799045904607730355856187430644203845273924305755822661819863755944940906283684643313961506264227<148>

283379582825379429747947715047049473175216957011559350737874053<63>
10020471210447765649801900107910132944113547331554528265566562228039058904085262186759<86>

Number: n
N=2839596951330412676159925027293782977493047645616579799045904607730355856187430644203845273924305755822661819863755944940906283684643313961506264227  ( 148 digits)
SNFS difficulty: 156 digits.
Divisors found:

Mon Sep 12 13:25:24 2022  p63 factor: 283379582825379429747947715047049473175216957011559350737874053
Mon Sep 12 13:25:24 2022  p86 factor: 10020471210447765649801900107910132944113547331554528265566562228039058904085262186759
Mon Sep 12 13:25:24 2022  elapsed time 00:05:37 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 47x10^155+52 = 52(154)8
#
n: 2839596951330412676159925027293782977493047645616579799045904607730355856187430644203845273924305755822661819863755944940906283684643313961506264227
m: 10000000000000000000000000000000
deg: 5
c5: 47
c0: 52
skew: 1.02
# Murphy_E = 8.613e-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, 7050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1069464 hash collisions in 12641316 relations (12389278 unique)
Msieve: matrix is 407160 x 407389 (137.0 MB)

Sieving start time : 2022/09/12 12:37:52
Sieving end time  : 2022/09/12 13:19:22

Total sieving time: 0hrs 41min 30secs.

Total relation processing time: 0hrs 2min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 20sec.

Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

491543469921900773658041588873635908882033388013521154946074973041638541570306083250858287<90>

130758637829908462375375250628363959<36>
3759166339445223928693810552206945132410922626037233993<55>

P55 = 3759166339445223928693810552206945132410922626037233993
P36 = 130758637829908462375375250628363959

211834319406187038384772025271748331928812651898393093163497570949750262346357285976796897066546487067490753516259313<117>

553844395075341979353667798740331030716305767632656489<54>
382479846848265476552012386174959181206333196863001594825491017<63>

Number: n
N=211834319406187038384772025271748331928812651898393093163497570949750262346357285976796897066546487067490753516259313  ( 117 digits)
SNFS difficulty: 159 digits.
Divisors found:

Sat Sep 17 10:37:45 2022  p54 factor: 553844395075341979353667798740331030716305767632656489
Sat Sep 17 10:37:45 2022  p63 factor: 382479846848265476552012386174959181206333196863001594825491017
Sat Sep 17 10:37:45 2022  elapsed time 00:06:26 (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 = 47x10^158+52 = 52(157)8
#
n: 211834319406187038384772025271748331928812651898393093163497570949750262346357285976796897066546487067490753516259313
m: 10000000000000000000000000000000
deg: 5
c5: 11750
c0: 13
skew: 0.26
# Murphy_E = 5.953e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 14350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1438949 hash collisions in 14140612 relations (13585084 unique)
Msieve: matrix is 436821 x 437046 (147.3 MB)

Sieving start time : 2022/09/17 09:39:12
Sieving end time  : 2022/09/17 10:31:05

Total sieving time: 0hrs 51min 53secs.

Total relation processing time: 0hrs 2min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 25sec.

Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

687252826398191645084375530683833327680623635741821179571658027980286417457569654304287603240756383344511<105>

1060145657406195516399268658357284382310242171<46>
648262643531133444838412202302701879235454595972995233230541<60>

Number: 52228_159
N = 687252826398191645084375530683833327680623635741821179571658027980286417457569654304287603240756383344511 (105 digits)
Divisors found:
r1=1060145657406195516399268658357284382310242171 (pp46)
r2=648262643531133444838412202302701879235454595972995233230541 (pp60)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 0.64 hours.
Factorization parameters were as follows:
n: 687252826398191645084375530683833327680623635741821179571658027980286417457569654304287603240756383344511
# norm 2.605948e-14 alpha -5.519118 e 6.117e-09 rroots 4
skew: 12787293.71
c0: 1552246204047099157987461856575
c1: -101144660642816434207020
c2: -89198071344673219
c3: 1572202736
c4: 240
Y0: -41136349439731422931900312
Y1: 33241519112089
type: gnfs
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [0, 0)
Total raw relations: 5378515
Relations: 471808 relations
Pruned matrix : 282660 x 282886
Polynomial selection time: 0.04 hours.
Total sieving time: 0.52 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.02 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: gnfs,104,4,59,2000,0.0006,0.25,200,15,15000,2000,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 0.64 hours.
Intel64 Family 6 Model 158 Stepping 12, GenuineIntel
processors: 16, speed: 3.60GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

43729721395361543108383935826048888561112424098752315425494232930217294756698063228657588281585283108936618771109928954949046610609801021<137>

4320695700919835397086876450399315175211553<43>
10120990789990578953792171074086305124917394923998412810004748119201202543680106239596527622557<95>

Number: n
N=43729721395361543108383935826048888561112424098752315425494232930217294756698063228657588281585283108936618771109928954949046610609801021  ( 137 digits)
SNFS difficulty: 163 digits.
Divisors found:

Sat Sep 17 18:20:11 2022  p43 factor: 4320695700919835397086876450399315175211553
Sat Sep 17 18:20:11 2022  p95 factor: 10120990789990578953792171074086305124917394923998412810004748119201202543680106239596527622557
Sat Sep 17 18:20:11 2022  elapsed time 00:07:32 (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 = 47x10^162+52 = 52(161)8
#
n: 43729721395361543108383935826048888561112424098752315425494232930217294756698063228657588281585283108936618771109928954949046610609801021
m: 100000000000000000000000000000000
deg: 5
c5: 1175
c0: 13
skew: 0.41
# Murphy_E = 4.769e-10
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1241042 hash collisions in 13436414 relations (13057734 unique)
Msieve: matrix is 503283 x 503510 (173.1 MB)

Sieving start time : 2022/09/17 17:22:15
Sieving end time  : 2022/09/17 18:12:25

Total sieving time: 0hrs 50min 10secs.

Total relation processing time: 0hrs 3min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 31sec.

Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

47018312376534884298904896102200046345713641516082502844857901503127403111220580627<83>

60324893076108434325209577788148198340087<41>
779418080645656420744982541287417522292421<42>

P42 = 779418080645656420744982541287417522292421
P41 = 60324893076108434325209577788148198340087

2312214589451587886588592670002750173945460950735998973704343875200491776952354875380172297015398137508190104303326180576220888897851617539911577373<148>

634676206094253767058690431633200811911873067451683<51>
3643140497862319689263718992502204439179122766231737748552317513838582218094582432182534849994431<97>

Number: n
N=2312214589451587886588592670002750173945460950735998973704343875200491776952354875380172297015398137508190104303326180576220888897851617539911577373  ( 148 digits)
SNFS difficulty: 170 digits.
Divisors found:

Wed Sep 14 17:25:28 2022  p51 factor: 634676206094253767058690431633200811911873067451683
Wed Sep 14 17:25:28 2022  p97 factor: 3643140497862319689263718992502204439179122766231737748552317513838582218094582432182534849994431
Wed Sep 14 17:25:28 2022  elapsed time 00:10:46 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 47x10^169+52 = 52(168)8
#
n: 2312214589451587886588592670002750173945460950735998973704343875200491776952354875380172297015398137508190104303326180576220888897851617539911577373
m: 5000000000000000000000000000000000
deg: 5
c5: 188
c0: 65
skew: 0.81
# Murphy_E = 2.582e-10
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1227018 hash collisions in 12536755 relations (12084845 unique)
Msieve: matrix is 646106 x 646332 (226.6 MB)

Sieving start time : 2022/09/14 16:27:54
Sieving end time  : 2022/09/14 17:14:15

Total sieving time: 0hrs 46min 21secs.

Total relation processing time: 0hrs 6min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 27sec.

Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1685639572795250033744633114233143137638868712041621117358070174257508900666633449372593713704503757925809009813348654863408388940013092564383828295619<151>

66871820056113660296395823300686198515889550763688322041224783930863<68>
25207023995769692707076231949085235819946391722957399570947519858322976151271208813<83>

Number: n
N=1685639572795250033744633114233143137638868712041621117358070174257508900666633449372593713704503757925809009813348654863408388940013092564383828295619  ( 151 digits)
SNFS difficulty: 173 digits.
Divisors found:

Wed Sep 14 16:21:20 2022  p68 factor: 66871820056113660296395823300686198515889550763688322041224783930863
Wed Sep 14 16:21:20 2022  p83 factor: 25207023995769692707076231949085235819946391722957399570947519858322976151271208813
Wed Sep 14 16:21:20 2022  elapsed time 00:12:26 (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 = 47x10^172+52 = 52(171)8
#
n: 1685639572795250033744633114233143137638868712041621117358070174257508900666633449372593713704503757925809009813348654863408388940013092564383828295619
m: 10000000000000000000000000000000000
deg: 5
c5: 1175
c0: 13
skew: 0.41
# Murphy_E = 1.926e-10
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1357201 hash collisions in 12717384 relations (12121655 unique)
Msieve: matrix is 749990 x 750215 (260.1 MB)

Sieving start time : 2022/09/14 14:22:59
Sieving end time  : 2022/09/14 16:07:56

Total sieving time: 1hrs 44min 57secs.

Total relation processing time: 0hrs 8min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 55sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

22050262069328574757817579937176370141521265712421886139908219944973956838661303730587097972685737117084838586755904324224174585191591700229314733004748814043014019<164>

1337671064371607436863840123407595329889381612389772447<55>
16484068958826616393745384393609777331431041776791298615488019830404608508126109368827113014688224118324574877<110>

Number: n
N=22050262069328574757817579937176370141521265712421886139908219944973956838661303730587097972685737117084838586755904324224174585191591700229314733004748814043014019  ( 164 digits)
SNFS difficulty: 174 digits.
Divisors found:

Tue Sep 13 16:36:36 2022  p55 factor: 1337671064371607436863840123407595329889381612389772447
Tue Sep 13 16:36:36 2022  p110 factor: 16484068958826616393745384393609777331431041776791298615488019830404608508126109368827113014688224118324574877
Tue Sep 13 16:36:36 2022  elapsed time 00:14:17 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 47x10^173+52 = 52(172)8
#
n: 22050262069328574757817579937176370141521265712421886139908219944973956838661303730587097972685737117084838586755904324224174585191591700229314733004748814043014019
m: 10000000000000000000000000000000000
deg: 5
c5: 11750
c0: 13
skew: 0.26
# Murphy_E = 1.537e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1540933 hash collisions in 12870608 relations (12057395 unique)
Msieve: matrix is 822110 x 822336 (285.3 MB)

Sieving start time : 2022/09/13 15:12:58
Sieving end time  : 2022/09/13 16:21:43

Total sieving time: 1hrs 8min 45secs.

Total relation processing time: 0hrs 9min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 7sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

5641675817612623036212675426802989151189885009660567649212064378572286343911999659596907209455609787178771922024628670835608258291639680433<139>

322462974258169767874329255774779011<36>
299446958173829108078546298798220452149813<42>
58426297513233949379101572936343842447111617579735327517360431<62>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 5641675817612623036212675426802989151189885009660567649212064378572286343911999659596907209455609787178771922024628670835608258291639680433 (139 digits)
Using B1=10160000, B2=35133066160, polynomial Dickson(12), sigma=1:1903758491
Step 1 took 20249ms
Step 2 took 10156ms
********** Factor found in step 2: 322462974258169767874329255774779011
Found prime factor of 36 digits: 322462974258169767874329255774779011
Composite cofactor 17495577067697062068955199826837869877841365769193508971336355556492147579008352522482807701093130249403 has 104 digits

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 17495577067697062068955199826837869877841365769193508971336355556492147579008352522482807701093130249403 (104 digits)
Using B1=15020000, B2=46847553490, polynomial Dickson(12), sigma=1:3869259594
Step 1 took 19287ms
Step 2 took 9104ms
********** Factor found in step 2: 299446958173829108078546298798220452149813
Found prime factor of 42 digits: 299446958173829108078546298798220452149813
Prime cofactor 58426297513233949379101572936343842447111617579735327517360431 has 62 digits

1755985642958113363277116540948917925683840775864416266607723643006687835709810684725912705255251942455728911977308199418622112870781688300189551692067985788726211<163>

1942637032822304391877148245259037000496019<43>
903918546434266250847940925668317348561243665946295863798765726601948757018828496628510781634946721245003589112541521169<120>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1755985642958113363277116540948917925683840775864416266607723643006687835709810684725912705255251942455728911977308199418622112870781688300189551692067985788726211 (163 digits)
Using B1=26050000, B2=96191014936, polynomial Dickson(12), sigma=1:3520536725
Step 1 took 59817ms
Step 2 took 18814ms
********** Factor found in step 2: 1942637032822304391877148245259037000496019
Found prime factor of 43 digits: 1942637032822304391877148245259037000496019
Prime cofactor 903918546434266250847940925668317348561243665946295863798765726601948757018828496628510781634946721245003589112541521169 has 120 digits

43703189834520132545576994963937679723007860457888727957202180365107812628864207922327667293<92>

52008786934442993007811547149799561453593<41>
840303964205278338880430001690241050784595176860901<51>

prp51 = 840303964205278338880430001690241050784595176860901
prp41 = 52008786934442993007811547149799561453593

Yafu

3956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956229<181>

32327797760870348047847104464849617<35>
122378548192280088627933658108827292155799688475322268366506453769146833013661637572180873384897806925346944629464325399205806684617948315210941237<147>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 3956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956229 (181 digits)
Using B1=12490000, B2=35135015380, polynomial Dickson(12), sigma=1:758769929
Step 1 took 33804ms
Step 2 took 12619ms
********** Factor found in step 2: 32327797760870348047847104464849617
Found prime factor of 35 digits: 32327797760870348047847104464849617
Prime cofactor 122378548192280088627933658108827292155799688475322268366506453769146833013661637572180873384897806925346944629464325399205806684617948315210941237 has 147 digits

413691302001304729554856540482369691376782609023237515738313458370913227245983770414917588643747746042549787572157005108753105897474057242412646264960793859173354646709212440553<177>

6630109512740086418803308378260201272786854281649024205801<58>
62395847490358377995600114292299994943106391391140221404327431953581174591907253712868970506958579052040417796901553153<119>

Number: n
N=413691302001304729554856540482369691376782609023237515738313458370913227245983770414917588643747746042549787572157005108753105897474057242412646264960793859173354646709212440553  ( 177 digits)
SNFS difficulty: 184 digits.
Divisors found:

Fri Sep 16 15:01:15 2022  p58 factor: 6630109512740086418803308378260201272786854281649024205801
Fri Sep 16 15:01:15 2022  p119 factor: 62395847490358377995600114292299994943106391391140221404327431953581174591907253712868970506958579052040417796901553153
Fri Sep 16 15:01:15 2022  elapsed time 00:24:37 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.308).
Factorization parameters were as follows:
#
# N = 47x10^183+52 = 52(182)8
#
n: 413691302001304729554856540482369691376782609023237515738313458370913227245983770414917588643747746042549787572157005108753105897474057242412646264960793859173354646709212440553
m: 1000000000000000000000000000000000000
deg: 5
c5: 11750
c0: 13
skew: 0.26
# Murphy_E = 6.086e-11
type: snfs
lss: 1
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 9700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3101894 hash collisions in 28830565 relations (27471344 unique)
Msieve: matrix is 999361 x 999586 (346.4 MB)

Sieving start time : 2022/09/16 11:54:33
Sieving end time  : 2022/09/16 14:36:00

Total sieving time: 2hrs 41min 27secs.

Total relation processing time: 0hrs 16min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 22sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8200000,8200000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

67998883520311512840350964475538670925077969900462428719254548631868420503472066329407706075038716238622259223494515585184020022510178655634063792719822277<155>

32016819882550838885889484871492378515352424823359258981250390186423693<71>
2123848769795244161851114828127303837868492682556303904125633848763835483970384875289<85>

Number: n
N=67998883520311512840350964475538670925077969900462428719254548631868420503472066329407706075038716238622259223494515585184020022510178655634063792719822277  ( 155 digits)
SNFS difficulty: 186 digits.
Divisors found:

Thu Oct 13 10:07:02 2022  p71 factor: 32016819882550838885889484871492378515352424823359258981250390186423693
Thu Oct 13 10:07:02 2022  p85 factor: 2123848769795244161851114828127303837868492682556303904125633848763835483970384875289
Thu Oct 13 10:07:02 2022  elapsed time 00:36:12 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 47x10^185+52 = 52(184)8
#
n: 67998883520311512840350964475538670925077969900462428719254548631868420503472066329407706075038716238622259223494515585184020022510178655634063792719822277
m: 10000000000000000000000000000000000000
deg: 5
c5: 47
c0: 52
skew: 1.02
# Murphy_E = 5.551e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 10100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1374072 hash collisions in 13036059 relations (12450530 unique)
Msieve: matrix is 1257307 x 1257532 (437.9 MB)

Sieving start time : 2022/10/13 06:34:04
Sieving end time  : 2022/10/13 09:30:30

Total sieving time: 2hrs 56min 26secs.

Total relation processing time: 0hrs 27min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 42sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9000000,9000000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

107103727215784783140700883182666141144095821068330608180991561161957371655752455530627744322033301894838403853<111>

240966712331050463496929704473259594085528959<45>
444475198170281141461313667214243492413539542073770373812850820467<66>

Number: 1
N=107103727215784783140700883182666141144095821068330608180991561161957371655752455530627744322033301894838403853
  ( 111 digits)
Divisors found:
 r1=240966712331050463496929704473259594085528959 (pp45)
 r2=444475198170281141461313667214243492413539542073770373812850820467 (pp66)
Version: Msieve v. 1.52 (SVN 927)
Total time: 11.33 hours.
Scaled time: 87.67 units (timescale=7.740).
Factorization parameters were as follows:
name: 1
n: 107103727215784783140700883182666141144095821068330608180991561161957371655752455530627744322033301894838403853
skew: 33057.63
# norm 1.29e+015
c5: 6900
c4: -1542277616
c3: -1496228377927
c2: 1200234301524041934
c1: 19434082608057039640920
c0: 38220746647915637739896400
# alpha -5.50
Y1: 16810360297
Y0: -1730578434006167555099
# Murphy_E 9.18e-010
# M 49988299981413790038977367868342301944164784845972514277114034906875459459780182292105335742279631362367571147
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 340776 x 341001
Total sieving time: 11.26 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 11.33 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

671873936685277250089060778921859336148809857840981071157834972008376054202783742960723316230685151599568179354076001<117>

242441156032137242032570143091606032146396178065183<51>
2771286639947450756254608372986298648932146453102710876385917502847<67>

nfs: commencing nfs on c117: 6718....6001
nfs: commencing poly selection with 6 threads
nfs: best poly = # norm 3.681406e-11 alpha -6.921996 e 4.018e-10 rroots 5
nfs: commencing lattice sieving with 6 threads
nfs: commencing msieve filtering
nfs: commencing msieve linear algebra
nfs: commencing msieve sqrt
prp67 = 2771286639947450756254608372986298648932146453102710876385917502847
prp51 = 242441156032137242032570143091606032146396178065183
NFS elapsed time = 14387.7861 seconds. (3.996 hours).

YAFU x64 v2.09

Windows 10 x64 v21H1, Intel i7-7700.

12512115228271078143316721748671671519147140320870926875357652823957732255976533499138134089681008648398537580990509239011373498899307093647252273421254657263523495325048338800163989<182>

3605165281263520226653991132135634803<37>
3470607933926927982623373601521502052528228547392624095854335875221797408404407988336671268378865070067406860272101868926088931485188710723643863<145>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 12512115228271078143316721748671671519147140320870926875357652823957732255976533499138134089681008648398537580990509239011373498899307093647252273421254657263523495325048338800163989 (182 digits)
Using B1=20440000, B2=70272629710, polynomial Dickson(12), sigma=1:3583121141
Step 1 took 55274ms
Step 2 took 20860ms
********** Factor found in step 2: 3605165281263520226653991132135634803
Found prime factor of 37 digits: 3605165281263520226653991132135634803
Prime cofactor 3470607933926927982623373601521502052528228547392624095854335875221797408404407988336671268378865070067406860272101868926088931485188710723643863 has 145 digits

86582320716523700287702080141751804422673294048045866184302213630908390289586800581909830489856143207338586244272250919101<122>

34199251939843007458459729002496924213586329<44>
2531702180761827466085883222802361780672518183312035468209321167931703625385669<79>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4151512805
Step 1 took 4782ms
Step 2 took 2937ms
********** Factor found in step 2: 34199251939843007458459729002496924213586329
Found prime factor of 44 digits: 34199251939843007458459729002496924213586329
Prime cofactor 2531702180761827466085883222802361780672518183312035468209321167931703625385669 has 79 digits
 

GMP-ECM

12092147106338259274394926746279867487008718560425972539163110142632856503122946563456445638750987492014605130202053715309465562926581945028495804372658171<155>

18580212030286798059998582197970412341163549385976971976996135102625054868891<77>
650807810299870343135637437085337018590565582247068557205849314810614778658081<78>

Number: n
N=12092147106338259274394926746279867487008718560425972539163110142632856503122946563456445638750987492014605130202053715309465562926581945028495804372658171  ( 155 digits)
SNFS difficulty: 193 digits.
Divisors found:

Fri Dec 23 11:36:11 2022  p77 factor: 18580212030286798059998582197970412341163549385976971976996135102625054868891
Fri Dec 23 11:36:11 2022  p78 factor: 650807810299870343135637437085337018590565582247068557205849314810614778658081
Fri Dec 23 11:36:11 2022  elapsed time 01:02:31 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.303).
Factorization parameters were as follows:
#
# N = 47x10^192+52 = 52(191)8
#
n: 12092147106338259274394926746279867487008718560425972539163110142632856503122946563456445638750987492014605130202053715309465562926581945028495804372658171
m: 100000000000000000000000000000000000000
deg: 5
c5: 1175
c0: 13
skew: 0.41
# Murphy_E = 2.974e-11
type: snfs
lss: 1
rlim: 11600000
alim: 11600000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 11600000/11600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 18600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1557543 hash collisions in 13015624 relations (12195444 unique)
Msieve: matrix is 1662718 x 1662943 (582.6 MB)

Sieving start time : 2022/12/23 05:40:42
Sieving end time  : 2022/12/23 10:33:19

Total sieving time: 4hrs 52min 37secs.

Total relation processing time: 0hrs 53min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 2sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11600000,11600000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

27065032542309566991912599988985167081005607921505844939234438009842145913545155981404021146393555094947621432583268998278469737664087306976357187254288788474805190193474558305750291<182>

18427001279058428897756820246828643578103<41>
1468770318753270238003868153889122986469766146038324966718305005521734535064955138076931744467800284723939917137940865589423965571303862688197<142>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 27065032542309566991912599988985167081005607921505844939234438009842145913545155981404021146393555094947621432583268998278469737664087306976357187254288788474805190193474558305750291 (182 digits)
Using B1=23260000, B2=96188942866, polynomial Dickson(12), sigma=1:1582921500
Step 1 took 64176ms
Step 2 took 21715ms
********** Factor found in step 2: 18427001279058428897756820246828643578103
Found prime factor of 41 digits: 18427001279058428897756820246828643578103
Prime cofactor 1468770318753270238003868153889122986469766146038324966718305005521734535064955138076931744467800284723939917137940865589423965571303862688197 has 142 digits

9653506406982907813754301140319006568582605066648177942566007657522775024720986758256506416077743211652240672085824749291660616793662035144333600008366919936060760270236068324511384076123<187>

15259366213290742284865184332014749458183<41>
880377687798273546449245652926504655678307496958087<51>
718587347256628648492278998593329710997593475694652788958104706679061368218090902530185759881163<96>

Number: n
N=632628267258885795105673187380420045683449930030371438275538052076017989935178475243982937121786968883985810814663990085482192046052016225111815181  ( 147 digits)
SNFS difficulty: 195 digits.
Divisors found:

Thu Sep 22 20:23:59 2022  p51 factor: 880377687798273546449245652926504655678307496958087
Thu Sep 22 20:23:59 2022  p96 factor: 718587347256628648492278998593329710997593475694652788958104706679061368218090902530185759881163
Thu Sep 22 20:23:59 2022  elapsed time 00:51:40 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 47x10^194+52 = 52(193)8
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 9653506406982907813754301140319006568582605066648177942566007657522775024720986758256506416077743211652240672085824749291660616793662035144333600008366919936060760270236068324511384076123 (187 digits)
# Using B1=20700000, B2=70272954580, polynomial Dickson(12), sigma=1:1901584197
# Step 1 took 56211ms
# Step 2 took 21591ms
# ********** Factor found in step 2: 15259366213290742284865184332014749458183
# Found prime factor of 41 digits: 15259366213290742284865184332014749458183
# Composite cofactor 632628267258885795105673187380420045683449930030371438275538052076017989935178475243982937121786968883985810814663990085482192046052016225111815181 has 147 digits
# 
#
n: 632628267258885795105673187380420045683449930030371438275538052076017989935178475243982937121786968883985810814663990085482192046052016225111815181
m: 500000000000000000000000000000000000000
deg: 5
c5: 188
c0: 65
skew: 0.81
# Murphy_E = 2.498e-11
type: snfs
lss: 1
rlim: 12800000
alim: 12800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12800000/12800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3115416 hash collisions in 28135837 relations (26683215 unique)
Msieve: matrix is 1475154 x 1475379 (517.5 MB)

Sieving start time : 2022/09/22 14:10:21
Sieving end time  : 2022/09/22 19:31:51

Total sieving time: 5hrs 21min 30secs.

Total relation processing time: 0hrs 41min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 1sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12800000,12800000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1631747493126058410523305416314910865438028327956018803316028739376695313657828680922497267790811852226123406653063902507777817441488230786382893014640858759766876131464579<172>

1133982514263575748443793540423904457193341378923<49>
640386485935385113275033214837134590007021726483893704151717<60>
2247007064515850240323527886881758973836771582672664167658970069<64>

Number: n
N=1631747493126058410523305416314910865438028327956018803316028739376695313657828680922497267790811852226123406653063902507777817441488230786382893014640858759766876131464579  ( 172 digits)
SNFS difficulty: 196 digits.
Divisors found:

Sun Sep 25 15:47:54 2022  found factor: 2247007064515850240323527886881758973836771582672664167658970069
Sun Sep 25 15:50:03 2022  p49 factor: 1133982514263575748443793540423904457193341378923
Sun Sep 25 15:50:03 2022  p60 factor: 640386485935385113275033214837134590007021726483893704151717
Sun Sep 25 15:50:03 2022  p64 factor: 2247007064515850240323527886881758973836771582672664167658970069
Sun Sep 25 15:50:03 2022  elapsed time 01:12:59 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 47x10^195+52 = 52(194)8
#
n: 1631747493126058410523305416314910865438028327956018803316028739376695313657828680922497267790811852226123406653063902507777817441488230786382893014640858759766876131464579
m: 1000000000000000000000000000000000000000
deg: 5
c5: 47
c0: 52
skew: 1.02
# Murphy_E = 2.148e-11
type: snfs
lss: 1
rlim: 13300000
alim: 13300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13300000/13300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3393177 hash collisions in 27948761 relations (26119183 unique)
Msieve: matrix is 1715321 x 1715548 (596.3 MB)

Sieving start time : 2022/09/25 08:39:19
Sieving end time  : 2022/09/25 14:36:34

Total sieving time: 5hrs 57min 15secs.

Total relation processing time: 0hrs 58min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 26sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13300000,13300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

24462714638933794844573546973763042209931114942587266284321739245247971062697049759251030937774131772621117414503791894011953542871836929560729437048412754525706616711312079<173>

1006135220949704819011074497420480310792221<43>
24313545664213109804489838304956501379549614533825406477229040559085425471399088684511538732015304289642774428041022655498007278299<131>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 24462714638933794844573546973763042209931114942587266284321739245247971062697049759251030937774131772621117414503791894011953542871836929560729437048412754525706616711312079 (173 digits)
Using B1=21370000, B2=96186180106, polynomial Dickson(12), sigma=1:243923859
Step 1 took 49666ms
Step 2 took 19629ms
********** Factor found in step 2: 1006135220949704819011074497420480310792221
Found prime factor of 43 digits: 1006135220949704819011074497420480310792221
Prime cofactor 24313545664213109804489838304956501379549614533825406477229040559085425471399088684511538732015304289642774428041022655498007278299 has 131 digits

1094675254304613617915785371648431530372162950726293639192980885653430562094811142274107289151877437934096918784933617142991313583177994810587245318365992607<157>

71749439928980304193241702604214004050563313<44>
15256917062880981742443327076223898516598887205805878382708733803776953991068974509441097979011581465849502621839<113>

Number: n
N=1094675254304613617915785371648431530372162950726293639192980885653430562094811142274107289151877437934096918784933617142991313583177994810587245318365992607  ( 157 digits)
SNFS difficulty: 199 digits.
Divisors found:

Fri Sep 30 02:13:40 2022  p44 factor: 71749439928980304193241702604214004050563313
Fri Sep 30 02:13:40 2022  p113 factor: 15256917062880981742443327076223898516598887205805878382708733803776953991068974509441097979011581465849502621839
Fri Sep 30 02:13:40 2022  elapsed time 01:23:30 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 47x10^198+52 = 52(197)8
#
n: 1094675254304613617915785371648431530372162950726293639192980885653430562094811142274107289151877437934096918784933617142991313583177994810587245318365992607
m: 1000000000000000000000000000000000000000
deg: 5
c5: 11750
c0: 13
skew: 0.26
# Murphy_E = 1.468e-11
type: snfs
lss: 1
rlim: 14600000
alim: 14600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14600000/14600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3515562 hash collisions in 27502953 relations (25469609 unique)
Msieve: matrix is 1952808 x 1953033 (683.2 MB)

Sieving start time : 2022/09/29 17:09:14
Sieving end time  : 2022/09/30 00:49:41

Total sieving time: 7hrs 40min 27secs.

Total relation processing time: 1hrs 12min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 8sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14600000,14600000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

12327152796283107390222099054945508759371412567807420331651348336297899520091183554962877650182260352924797155404085675433<122>

33987990550559216061891868564692954721812683150593<50>
362691427077623584860323805465017691243838664066570009405484561520371881<72>

12327152796283107390222099054945508759371412567807420331651348336297899520091183554962877650182260352924797155404085675433=33987990550559216061891868564692954721812683150593*362691427077623584860323805465017691243838664066570009405484561520371881

cado polynomial
n: 12327152796283107390222099054945508759371412567807420331651348336297899520091183554962877650182260352924797155404085675433
skew: 25416.509
c0: 3417934530234351786788502100
c1: 442581437260046234507565
c2: -39147084439200712726
c3: -1153927605276695
c4: 29567865260
c5: 184800
Y0: 11729656636397414406288
Y1: 7173983108164739753
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.305e-06
# f(x) = 184800*x^5+29567865260*x^4-1153927605276695*x^3-39147084439200712726*x^2+442581437260046234507565*x+3417934530234351786788502100
# g(x) = 7173983108164739753*x+11729656636397414406288

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 33987990550559216061891868564692954721812683150593 362691427077623584860323805465017691243838664066570009405484561520371881
Info:Square Root: Total cpu/real time for sqrt: 236.72/69.1569
Info:Filtering - Merging: Merged matrix has 761213 rows and total weight 76543427 (100.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 56.73/18.5068
Info:Filtering - Merging: Total cpu/real time for replay: 18.7/14.6815
Info:Generate Factor Base: Total cpu/real time for makefb: 4.93/1.36473
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13750433
Info:Lattice Sieving: Average J: 1894.71 for 298765 special-q, max bucket fill -bkmult 1.0,1s:1.267570
Info:Lattice Sieving: Total time: 35808s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1847.96
Info:Polynomial Selection (root optimized): Rootsieve time: 1845.48
Info:Linear Algebra: Total cpu/real time for bwc: 5542.63/1440.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3374.07, WCT time 873.62, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23808 iterations)
Info:Linear Algebra: Lingen CPU time 130.35, WCT time 33.14
Info:Linear Algebra: Mksol: CPU time 1961.07,  WCT time 505.85, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12032 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20128/35.050/43.335/48.620/1.050
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16181/35.190/38.355/43.790/0.854
Info:Polynomial Selection (size optimized): Total time: 2302.23
Info:Generate Free Relations: Total cpu/real time for freerel: 128.32/33.592
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 166.38/155.429
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 131.7s
Info:Quadratic Characters: Total cpu/real time for characters: 24.37/9.47974
Info:Square Root: Total cpu/real time for sqrt: 236.72/69.1569
Info:Filtering - Singleton removal: Total cpu/real time for purge: 86.02/98.3692
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 57.89/58.1265
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 57.800000000000004s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 76777.8/20931.8
Info:root: Cleaning up computation data in /tmp/cado.dfpe87wt
33987990550559216061891868564692954721812683150593 362691427077623584860323805465017691243838664066570009405484561520371881

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)

67125211037844892254501931302055953938804440020365846799584780453089418292801088024452950747008123550436625366565507631826766643148879270349043038272056223101201829108339435473678399871<185>

38714958808653844144412529342307397365109<41>

1733831394981119948644913942640437627527670743649838282111067204889505288241862696032065190552753289847357739415002772644471128408171564763949219<145>

Resuming ECM residue saved by @9d020732ec94 with GMP-ECM 7.0.5-dev on Tue Sep 27 20:56:16 2022 
Input number is 67125211037844892254501931302055953938804440020365846799584780453089418292801088024452950747008123550436625366565507631826766643148879270349043038272056223101201829108339435473678399871 (185 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3825482849
Step 1 took 0ms
Step 2 took 4428ms
********** Factor found in step 2: 38714958808653844144412529342307397365109
Found prime factor of 41 digits: 38714958808653844144412529342307397365109
Composite cofactor 1733831394981119948644913942640437627527670743649838282111067204889505288241862696032065190552753289847357739415002772644471128408171564763949219 has 145 digits

1733831394981119948644913942640437627527670743649838282111067204889505288241862696032065190552753289847357739415002772644471128408171564763949219<145>

25966844269365607793011153160446793231934557<44>
66770970588313191745391144112670835862541887745699152408919751071488147119441396003024890480793792767<101>

GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 1733831394981119948644913942640437627527670743649838282111067204889505288241862696032065190552753289847357739415002772644471128408171564763949219 (145 digits)
Using B1=41770000, B2=192395152966, polynomial Dickson(12), sigma=1:1017378073
Step 1 took 75540ms
Step 2 took 22518ms
********** Factor found in step 2: 25966844269365607793011153160446793231934557
Found prime factor of 44 digits: 25966844269365607793011153160446793231934557
Prime cofactor 66770970588313191745391144112670835862541887745699152408919751071488147119441396003024890480793792767 has 101 digits

33457647595101294456525600687507148477423096102772020087514789490008248739792343400693858138608182298757380368805340709189477665439<131>

18438361576226385639821451119331533088805065096570706327<56>
1814567279027661393663508984968142359539994402912226586211292749502293862457<76>

n: 334576......665439
skew: 110766.989
c0: -1664985294530409475036365077304
c1: -51241607335198391148250006
c2: -648068004173234787301
c3: 10947229047077117
c4: 19326899646
c5: 123120
Y0: -21214879754817091027435569
Y1: 13803022899061531463
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=2.181e+13) = 1.743e-06
# f(x) = 123120*x^5+19326899646*x^4+10947229047077117*
       x^3-648068004173234787301*x^2-51241607335198391148250006*
        x-1664985294530409475036365077304
# g(x) = 13803022899061531463*x-21214879754817091027435569
Factors: 
   18438361576226385639821451119331533088805065096570706327
        1814567279027661393663508984968142359539994402912226586211292749502293862457

CADO-NFS v3.0.0

Ubuntu 20.04.4. Intel Xeon E5-1620, 3.6 GHz.

5092027233115043542899939411376386228575512098678374082335436838949232661831450951708557149598429731475952478861694863279935518900760029484354453805540636999172578076920293392641799632498643895640917<199>

316554672014159963756026257838222964921826112737247601460072992674947298273603807<81>
16085775012308993979207646081053637146545530170396048717009390112979632237417415881352542905714307811364891448796294731<119>

Number: n
N=5092027233115043542899939411376386228575512098678374082335436838949232661831450951708557149598429731475952478861694863279935518900760029484354453805540636999172578076920293392641799632498643895640917  ( 199 digits)
SNFS difficulty: 206 digits.
Divisors found:

Thu Mar 21 03:07:23 2024  prp81 factor: 316554672014159963756026257838222964921826112737247601460072992674947298273603807
Thu Mar 21 03:07:23 2024  prp119 factor: 16085775012308993979207646081053637146545530170396048717009390112979632237417415881352542905714307811364891448796294731
Thu Mar 21 03:07:23 2024  elapsed time 03:41:42 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.095).
Factorization parameters were as follows:
#
# N = 47x10^205+52 = 52(204)8
#
n: 5092027233115043542899939411376386228575512098678374082335436838949232661831450951708557149598429731475952478861694863279935518900760029484354453805540636999172578076920293392641799632498643895640917
m: 100000000000000000000000000000000000000000
deg: 5
c5: 47
c0: 52
skew: 1.02
# Murphy_E = 8.172e-12
type: snfs
lss: 1
rlim: 19500000
alim: 19500000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19500000/19500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 71350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3681955 hash collisions in 19560633 relations (16065461 unique)
Msieve: matrix is 2638780 x 2639005 (741.5 MB)

Sieving start time: 2024/03/19 16:48:11
Sieving end time  : 2024/03/20 23:25:16

Total sieving time: 30hrs 37min 5secs.

Total relation processing time: 3hrs 30min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 52sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19500000,19500000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

23031881575172196170531211170676822660522128609332366322456607725856189659903054214077378059692479530827039868996037262682029024428861401802205409<146>

15980283487481170915556741787779187777833285610385483<53>
1441268647906978123288319558989771969391205819226700340847817745380178755289580076365062277123<94>

1441268647906978123288319558989771969391205819226700340847817745380178755289580076365062277123
15980283487481170915556741787779187777833285610385483

cado-nfs

2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 22.04

1303544186875207110983308310831941869251300798423587959334302726448645295864037345930784355295334853876024849213219557777904249298887372340034881733041472563390244408433342907449361191237476129887139699<202>

325685504084937182759684198233399928663713<42>

4002463021919603697810403715166031669492578458012051576174119281629173156818879194162327180305708332888392118089800614132504250924960627022590837419193132831123<160>

Resuming ECM residue saved by @f661cad5629e with GMP-ECM 7.0.5-dev on Mon Feb  5 20:45:45 2024 
Input number is 1303544186875207110983308310831941869251300798423587959334302726448645295864037345930784355295334853876024849213219557777904249298887372340034881733041472563390244408433342907449361191237476129887139699 (202 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1131845612
Step 1 took 0ms
Step 2 took 8799ms
********** Factor found in step 2: 325685504084937182759684198233399928663713
Found prime factor of 42 digits: 325685504084937182759684198233399928663713
Composite cofactor 4002463021919603697810403715166031669492578458012051576174119281629173156818879194162327180305708332888392118089800614132504250924960627022590837419193132831123 has 160 digits

4002463021919603697810403715166031669492578458012051576174119281629173156818879194162327180305708332888392118089800614132504250924960627022590837419193132831123<160>

556447663912384621783594202713510176589255578616510950208280036014340685583<75>
7192883143363884936504361525821019360920534342448794967767654012774251605088519128381<85>

7192883143363884936504361525821019360920534342448794967767654012774251605088519128381 * 556447663912384621783594202713510176589255578616510950208280036014340685583

using provided SNFS polynomial

cado-nfs 2f599318ff0ab2b75a0e5c277150d443839e1013

556249379865956445964574354776883298232226581634284907193311248202783195527147438179918499387073731956867094450251086302598757488387055566890544070358456673397667146415291<171>

5110701897081419030718697864906506281<37>

108840114541530026034169788988600293369486551835351490666644542739796653509913783024062087245176369636438421184098552796563725304390211<135>

Resuming ECM residue saved by @9d020732ec94 with GMP-ECM 7.0.5-dev on Tue Sep 27 20:44:22 2022 
Input number is 556249379865956445964574354776883298232226581634284907193311248202783195527147438179918499387073731956867094450251086302598757488387055566890544070358456673397667146415291 (171 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1424950443
Step 1 took 0ms
Step 2 took 3976ms
********** Factor found in step 2: 5110701897081419030718697864906506281
Found prime factor of 37 digits: 5110701897081419030718697864906506281
Composite cofactor 108840114541530026034169788988600293369486551835351490666644542739796653509913783024062087245176369636438421184098552796563725304390211 has 135 digits

108840114541530026034169788988600293369486551835351490666644542739796653509913783024062087245176369636438421184098552796563725304390211<135>

4286930266135980138847535774347126717086162059<46>
25388823186907806428974118926718485662306284608125571416831741207331815015647189558079529<89>

n: 108840114541530026034169788988600293369486551835351490666644542739796653509913783024062087245176369636438421184098552796563725304390211
skew: 219886.526
c0: 856222814827759141509035834300
c1: 231018028336891500165742568
c2: -3466460101921534031411
c3: -12245161428652067
c4: 39341685984
c5: 41400
Y0: -109107725155818479441770627
Y1: 2328665255565319363
# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=4.698e+13) = 2.474e-06
# f(x) = 41400*x^5+39341685984*x^4-12245161428652067*x^3-3466460101921534031411*x^2+231018028336891500165742568*x+856222814827759141509035834300
# g(x) = 2328665255565319363*x-109107725155818479441770627
Factors:
     4286930266135980138847535774347126717086162059
        25388823186907806428974118926718485662306284608125571416831741207331815015647189558079529

CADO-NFS

Ubuntu 20.04.4, Intel Xeon E5-1620.

1448616478217071099827709703488095579389116650997005181330037365569028246203284126736034828785562768443903000632971330907807900736924068463035003966373682626901<160>

153506630618983847724554955410034387674481285645476914388303704536520692851610434168869028740707787089210488727646959076634685064514454828698129764723710446158622802851<168>

3802962289023591526648450236649140570578978739545750310921393159215682679046844757143238181255205241945743601917287084158528115743<130>

14692601963019203028107202429658338157591001157613<50>
258835181038424834880408209911067183399130997794945888032396213885162415657614011<81>

Command line parameters: ./cado-nfs.py workdir=temp 3802....5743

Square Root: finished
Square Root: Factors: 

14692601963019203028107202429658338157591001157613 
258835181038424834880408209911067183399130997794945888032396213885162415657614011

Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 289150/45732.7, (12.7 hours).

CADO-NFS

Ubuntu 20.04.4. Xeon E5-1620. 16 GB RAM.

421146953405017921146953405017921146953405017921146953405017921146953405017921146953405017921146953405017921146953405017921146953405017921146953405017921146953405017921146953405017921146953405017921146953405017921147<216>

21263477516287947393431480062624265800476566821295363858865184230320513411994765437975400072108955523900941025543035657536249880627211345691442242469164134439095840169044934457807420797563134471158367<200>

321425512755796133350929345453428248975066403030486285705587462069996965678343511707042107988456973281680119270227493380238702550427817212095465090278669170438498443108876376697609462805434251<192>

245259552800372554316257895471865582075311<42>
1310552470171950347662398324904591943198624411916842832418066853786398498279174913531874081325174686834266548567113354969782950242053591083576277581541<151>

GPU: factor 245259552800372554316257895471865582075311 found in Step 1 with curve 749 (-sigma 3:46228182)
Computing 1792 Step 1 took 158ms of CPU time / 174974ms of GPU time
Throughput: 10.242 curves per second (on average 97.64ms per Step 1)
********** Factor found in step 1: 245259552800372554316257895471865582075311
Found prime factor of 42 digits: 245259552800372554316257895471865582075311
Prime cofactor 1310552470171950347662398324904591943198624411916842832418066853786398498279174913531874081325174686834266548567113354969782950242053591083576277581541 has 151 digits
Peak memory usage: 9428MB

259108943226012506371323775222643470023714723227753490062459414310566386068171467097054206239331895669693901301358953867165849999587343302875235955680222844068186830983557546641129150530514710310922969651<204>

19464753302684785259383942669587098446956508212031<50>
13311699316028498150567320655019800892478232057236764757430296548648029477068824503132161255609089232309550526157637040439586342267165827101677736747307021<155>

Number: 52228_220
N = 259108943226012506371323775222643470023714723227753490062459414310566386068171467097054206239331895669693901301358953867165849999587343302875235955680222844068186830983557546641129150530514710310922969651 (204 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=19464753302684785259383942669587098446956508212031 (pp50)
r2=13311699316028498150567320655019800892478232057236764757430296548648029477068824503132161255609089232309550526157637040439586342267165827101677736747307021 (pp155)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 61.30 hours.
Factorization parameters were as follows:
n: 259108943226012506371323775222643470023714723227753490062459414310566386068171467097054206239331895669693901301358953867165849999587343302875235955680222844068186830983557546641129150530514710310922969651
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 47
c0: 52
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 0
Relations: 8098498 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 21.46 hours.
Total relation processing time: 1.11 hours.
Pruned matrix : 6852928 x 6853153
Matrix solve time: 38.28 hours.
time per square root: 0.45 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 61.30 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22631-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

24568381055571765037090250154578938919245534738005375221055518027574141860058928019125127677504007144366523624767700013791163365842699565109013603507<149>

64122626512662097734172547814294619727<38>

383146829625269988493636077370126285774290848819735296820565833865028009285549741644877888881677018925589186141<111>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4194983828
Step 1 took 3187ms
********** Factor found in step 2: 64122626512662097734172547814294619727
Found prime factor of 38 digits: 64122626512662097734172547814294619727
Composite cofactor 383146829625269988493636077370126285774290848819735296820565833865028009285549741644877888881677018925589186141 has 111 digits

GMP-ECM

383146829625269988493636077370126285774290848819735296820565833865028009285549741644877888881677018925589186141<111>

2809980183583732183699364488953851181963167058415621<52>
136352146489738021142153252666963996796196155426160219776121<60>

383146829625269988493636077370126285774290848819735296820565833865028009285549741644877888881677018925589186141=2809980183583732183699364488953851181963167058415621*136352146489738021142153252666963996796196155426160219776121

cado polynomial
n: 383146829625269988493636077370126285774290848819735296820565833865028009285549741644877888881677018925589186141
skew: 16105.156
c0: 14086159584256672299675124
c1: 4052223889838837069159
c2: -366167814185161498
c3: -18119513674352
c4: 889448676
c5: 10440
Y0: -406464840159773580813
Y1: 110452837027660531
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.441e-06
# f(x) = 10440*x^5+889448676*x^4-18119513674352*x^3-366167814185161498*x^2+4052223889838837069159*x+14086159584256672299675124
# g(x) = 110452837027660531*x-406464840159773580813

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

cado log (extracts)
Info:Square Root: Factors: 2809980183583732183699364488953851181963167058415621 136352146489738021142153252666963996796196155426160219776121
Info:Square Root: Total cpu/real time for sqrt: 175.73/51.791
Info:Filtering - Singleton removal: Total cpu/real time for purge: 70.36/77.3113
Info:Filtering - Merging: Merged matrix has 313179 rows and total weight 48763923 (155.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 49.37/14.5358
Info:Filtering - Merging: Total cpu/real time for replay: 10.29/8.41449
Info:Generate Factor Base: Total cpu/real time for makefb: 2.24/0.652224
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5511301
Info:Lattice Sieving: Average J: 1899.1 for 112224 special-q, max bucket fill -bkmult 1.0,1s:1.311720
Info:Lattice Sieving: Total time: 10319.1s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 256.24
Info:Polynomial Selection (root optimized): Rootsieve time: 255.22
Info:Linear Algebra: Total cpu/real time for bwc: 1304.55/337.31
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 793.65, WCT time 203.08, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9856 iterations)
Info:Linear Algebra: Lingen CPU time 46.95, WCT time 11.97
Info:Linear Algebra: Mksol: CPU time 437.78,  WCT time 111.87, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4992 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11980/31.460/39.342/44.670/1.115
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9410/31.710/34.838/39.760/0.912
Info:Polynomial Selection (size optimized): Total time: 719.44
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 90.95/100.752
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 72.5s
Info:Generate Free Relations: Total cpu/real time for freerel: 63.36/16.5131
Info:Square Root: Total cpu/real time for sqrt: 175.73/51.791
Info:Quadratic Characters: Total cpu/real time for characters: 11.75/4.60987
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.28/22.4625
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 21.500000000000007s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 21542.9/6025.6
Info:root: Cleaning up computation data in /tmp/cado.isc7eek3
2809980183583732183699364488953851181963167058415621 136352146489738021142153252666963996796196155426160219776121

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)

19516196461122416415871817694362599042820569336720616595115127247978600488439917291755732313312136321838888274871376539850221019158471960633654436085670641219021802626188843618119639484485567959<194>

179131807937490179222503102199232881229031579049706040161227016734803212946201824568368119428548816814757265639636545604389861315597790870713762176640969905412861105243350126831984116227<186>

31213534587399559297736407664650658027<38>
5738914554387026445906395899769180191931876476948795501595661373041558630448618379819200305018501309314061551578345769145636504383040345646632246601<148>

GPU: factor 31213534587399559297736407664650658027 found in Step 1 with curve 915 (-sigma 3:-1488570986)
Computing 1792 Step 1 took 731ms of CPU time / 653791ms of GPU time
Throughput: 2.741 curves per second (on average 364.84ms per Step 1)
********** Factor found in step 1: 31213534587399559297736407664650658027
Found prime factor of 38 digits: 31213534587399559297736407664650658027
Prime cofactor 5738914554387026445906395899769180191931876476948795501595661373041558630448618379819200305018501309314061551578345769145636504383040345646632246601 has 148 digits
Peak memory usage: 9470MB

56420885303889974935260463971876107952506044477065826858394149793042084247694267586062310949923515593418335040558435003704998551184862506945253705991404939721683230590707836937578360993365643663<194>

68724749970744202612839813670472191454411847836745781659555218624262749598531702940757532976429984481210135244702499319320994943886105622925567855196407132986842408653589088412254144803212475264717266975353531307169<215>

6456580854461599308818263874633056821542320150114684888665673657495689175426246068052409935943777993470702523902287002708253054418657842078001405522353377018791547595307<169>

228423042480985089018528442774712540658612735649527577074892373037724170390391511542351942838824484021678355735239152173641699902042393179051833352073053818222545130263830825190285656516749531851198186259317017255075673<219>

92475984119144897599496007856014204025515665379402967895115219538224203686872159201683156849500891303347727932483247921869763610866428777399021980173581186343182928818366190197378911960902405448951618227089491326201<215>

128321685967125776757471233595990489502234404402373021870889399585973663145511934111032464742962505585729180979419032615160068728332684536198468712472746727068224208844539383194406082883797<189>

8390865010893671072819985616394339<34>
15293022328511854475238429571853996755451958521399617342199866926741994262037928584351146156536229012065564397617577683883886074598625198934828746527026023<155>

Resuming ECM residue saved by @9d020732ec94 with GMP-ECM 7.0.5-dev on Tue Sep 27 17:49:03 2022 
Input number is 128321685967125776757471233595990489502234404402373021870889399585973663145511934111032464742962505585729180979419032615160068728332684536198468712472746727068224208844539383194406082883797 (189 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3472240101
Step 1 took 0ms
Step 2 took 4526ms
********** Factor found in step 2: 8390865010893671072819985616394339
Found prime factor of 34 digits: 8390865010893671072819985616394339
Prime cofactor 15293022328511854475238429571853996755451958521399617342199866926741994262037928584351146156536229012065564397617577683883886074598625198934828746527026023 has 155 digits

1401365657332268338557607585904175755673443642846682905931390572795277902153399956057632070087224403310610567867392177255272068159700272305574513248284003741133589019178437196126828464364307436172866834451886247<211>

30372820227713548430560572603957159111738170563781795832841862986431495309786058045821904312817349662478426720983235534154028860642400107668073400294130085616822566758810577133569<179>

42215020971971526523796298164236124978071856452077177478347244794099930370831830249547787575654208236862175210683861434641013954332545512300633109950807367790987439868281920289822307984031312879352329545951470142901693844375615709<230>

139175426162234014349080665422735167298785240088484265738090556089290379377721660072097518212920104026285727061055347571110878299594909942377801763068908188621887696684456633285633620910770516490546524116849757232250255323663<225>

10099473250862406203005867021466283293<38>
13780463862345460129209783510354834250245025396163829900091401128013921099291499496775437200092931232250131432875371040481609366012373659311845736598962852875214724283023467832998680408091<188>

Resuming ECM residue saved by @9d020732ec94 with GMP-ECM 7.0.5-dev on Tue Sep 27 19:24:35 2022 
Input number is 139175426162234014349080665422735167298785240088484265738090556089290379377721660072097518212920104026285727061055347571110878299594909942377801763068908188621887696684456633285633620910770516490546524116849757232250255323663 (225 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1725558156
Step 1 took 0ms
Step 2 took 5477ms
********** Factor found in step 2: 10099473250862406203005867021466283293
Found prime factor of 38 digits: 10099473250862406203005867021466283293
Prime cofactor 13780463862345460129209783510354834250245025396163829900091401128013921099291499496775437200092931232250131432875371040481609366012373659311845736598962852875214724283023467832998680408091 has 188 digits

585195265605622304258515298418099055307686322995813670378504638261583046962152382916816226589681427450026224292868907342108244658312471767261862963514371689204605861065087593<174>

5170778018828352457987747390027777893865499<43>

113173542448496330362508069290150605153710129184292916490582115187247690139780019241828115654188968914713421468269886810459930920907<132>

Resuming ECM residue saved by @f661cad5629e with GMP-ECM 7.0.5-dev on Tue Feb  6 04:03:44 2024 
Input number is 585195265605622304258515298418099055307686322995813670378504638261583046962152382916816226589681427450026224292868907342108244658312471767261862963514371689204605861065087593 (174 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:952695452
Step 1 took 0ms
Step 2 took 8078ms
********** Factor found in step 2: 5170778018828352457987747390027777893865499
Found prime factor of 43 digits: 5170778018828352457987747390027777893865499
Composite cofactor 113173542448496330362508069290150605153710129184292916490582115187247690139780019241828115654188968914713421468269886810459930920907 has 132 digits

113173542448496330362508069290150605153710129184292916490582115187247690139780019241828115654188968914713421468269886810459930920907<132>

241594205097762191878864128387937805820107606193623011968364927<63>
468444772517205628450525769685061543443269319120888962978981316130741<69>

STA:Sat 10 Feb 2024 10:41:42 AEDT (113173542448496330362508069290150605153710129184292916490582115187247690139780019241828115654188968914713421468269886810459930920907 - C132)



/home/vboxuser/Math/cado-nfs/cado-nfs.py -t 30 --no-colors --screenlog DEBUG 113173542448496330362508069290150605153710129184292916490582115187247690139780019241828115654188968914713421468269886810459930920907 2>&1 | tee -a log-26



Debug:root: Looking for parameter file for c132 in directory /home/vboxuser/Math/cado-nfs/parameters/factor

Info:root: Using default parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c130

Debug:Parameters: Reading parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c130

Info:root: No database exists yet

Info:root: Created temporary directory /tmp/cado.wi2d_uc7

Info:Database: Opened connection to database /tmp/cado.wi2d_uc7/c130.db

Info:root: Set tasks.threads=30 based on --server-threads 30

Info:root: tasks.threads = 30 [via tasks.threads]

Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]

Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]

Info:root: tasks.linalg.bwc.threads = 30 [via tasks.threads]

Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]

Info:root: slaves.scriptpath is /home/vboxuser/Math/cado-nfs/build/Ubuntu

Info:root: Command line parameters: /home/vboxuser/Math/cado-nfs/cado-nfs.py -t 30 --no-colors --screenlog DEBUG 113173542448496330362508069290150605153710129184292916490582115187247690139780019241828115654188968914713421468269886810459930920907

Debug:root: Root parameter dictionary:

N = 113173542448496330362508069290150605153710129184292916490582115187247690139780019241828115654188968914713421468269886810459930920907

name = c130

===

n: 113173542448496330362508069290150605153710129184292916490582115187247690139780019241828115654188968914713421468269886810459930920907

skew: 85894.756

c0: 267936826865848834140873533948

c1: 4550636783073806886426860

c2: 180342490167207318583

c3: -2490052151485503

c4: -29552320504

c5: 70560

Y0: -30486078800583201976035674

Y1: 34336701486983300849

# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.517e+13) = 1.384e-06

# f(x) = 70560*x^5-29552320504*x^4-2490052151485503*x^3+180342490167207318583*x^2+4550636783073806886426860*x+267936826865848834140873533948

# g(x) = 34336701486983300849*x-30486078800583201976035674

===



Debug:Command: Process with PID 147585 finished successfully

Info:Square Root: finished

Info:Square Root: Factors: 241594205097762191878864128387937805820107606193623011968364927 468444772517205628450525769685061543443269319120888962978981316130741

Debug:Square Root: Exit SqrtTask.run(sqrt)

Info:Complete Factorization / Discrete logarithm: Square Root

Info:Square Root: Total cpu/real time for sqrt: 2031.84/278.433

Info:HTTP server: Got notification to stop serving Workunits

Info:Polynomial Selection (root optimized): Aggregate statistics:

Info:Polynomial Selection (root optimized): Total time: 1117.11

Info:Polynomial Selection (root optimized): Rootsieve time: 1116.35

Info:Lattice Sieving: Aggregate statistics:

Info:Lattice Sieving: Total number of relations: 35567172

Info:Lattice Sieving: Average J: 3818.98 for 339921 special-q, max bucket fill -bkmult 1.0,1s:1.283190

Info:Lattice Sieving: Total time: 781191s

Info:Polynomial Selection (size optimized): Aggregate statistics:

Info:Polynomial Selection (size optimized): potential collisions: 55661.1

Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38311/39.500/48.431/60.010/2.274

Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 31957/37.800/42.423/56.240/1.597

Info:Polynomial Selection (size optimized): Total time: 10971.9

Info:Square Root: Total cpu/real time for sqrt: 2031.84/278.433

Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1165.62/3360.74

Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:

Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 2738.2s

Info:Quadratic Characters: Total cpu/real time for characters: 49.93/14.1474

Info:Filtering - Singleton removal: Total cpu/real time for purge: 734.99/2804.51

Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 277.09/1860.39

Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:

Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 1856.9000000000003s

Info:Filtering - Merging: Total cpu/real time for merge: 128.32/22.3788

Info:Filtering - Merging: Total cpu/real time for replay: 22.51/20.0602

Info:Generate Factor Base: Total cpu/real time for makefb: 3.4/0.973233

Info:Generate Free Relations: Total cpu/real time for freerel: 347.06/37.404

Info:Linear Algebra: Total cpu/real time for bwc: 15475.6/6339.74

Info:Linear Algebra: Aggregate statistics:

Info:Linear Algebra: Krylov: CPU time 8749.45, WCT time 3786.22, iteration CPU time 0.02, COMM 0.06, cpu-wait 0.02, comm-wait 0.01 (39000 iterations)

Info:Linear Algebra: Lingen CPU time 258.67, WCT time 38.76

Info:Linear Algebra: Mksol: CPU time 5291.3,  WCT time 2124.11, iteration CPU time 0.03, COMM 0.05, cpu-wait 0.01, comm-wait 0.0 (21000 iterations)

Info:HTTP server: Shutting down HTTP server

Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 363253/63391.4 [17:36:31]

Info:root: Cleaning up computation data in /tmp/cado.wi2d_uc7

241594205097762191878864128387937805820107606193623011968364927 468444772517205628450525769685061543443269319120888962978981316130741



END:Sun 11 Feb 2024 04:18:16 AEDT (113173542448496330362508069290150605153710129184292916490582115187247690139780019241828115654188968914713421468269886810459930920907 - C132)

287678743416492734065752966819548555535133536501184490293427720767796618626014666725725258393565388406735089823042580865453438723710267403496477149845684380025077202386652194306325756820278089951120985548992448793557<216>

4109830230239171279225485314938618565032254028371430782303596290294319950958547040192202026476754492682634042162010150960672164729403389716643861979986799059563037978444396921352384792253894499986459988029015170713205312131589<226>

125099374896153860814388932886202401573843489966221228900624368568312498023549883372932228496601458713632628160321784372159785665622531154471117385788777143282640596097552941846109155109349189671564013<201>

50815037369397942533388410606296755432142739299850876201981110336305044722688473975848621254641289284110172368814674560410366707530216858162659277999354910236324144992441202645725615914439710736121996935462295188862058938379409604662309<236>

43963921297084781586092455187355578913618689826226916474536905350890309225021876512667576358637514876896537105103067344674363111753581754567907402166890942807681698780820910642793540302170591454973722687<203>

257455246609259624444006222748088257849646135980192379324700365915116457415806656587567650474374986305571988869168912552860492122965007997545958500405355069129472600188435329433160235763272639628388001489953767611034422314248778457021407129867<243>

30755555211769344338163027868021229<35>

8371016059912917910017060744504170060322921072555598996411818422848595886744785655440967705306746972406336050039746691962078382235159759119466555650371330791658167632323466220536011217277991549905175676350423<208>

Resuming ECM residue saved by @9d020732ec94 with GMP-ECM 7.0.5-dev on Tue Sep 27 18:11:16 2022 
Input number is 257455246609259624444006222748088257849646135980192379324700365915116457415806656587567650474374986305571988869168912552860492122965007997545958500405355069129472600188435329433160235763272639628388001489953767611034422314248778457021407129867 (243 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3973023685
Step 1 took 0ms
Step 2 took 6069ms
********** Factor found in step 2: 30755555211769344338163027868021229
Found prime factor of 35 digits: 30755555211769344338163027868021229
Composite cofactor 8371016059912917910017060744504170060322921072555598996411818422848595886744785655440967705306746972406336050039746691962078382235159759119466555650371330791658167632323466220536011217277991549905175676350423 has 208 digits

97344077657911947130445754818816881395530356650892061510758639166867270804109813917642165559528320542185594125821742081888419792345342286526817814781924294432007442189545227740728374722602055672016970952593<206>

3956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956229<247>

172489105015059145306439444573202916963<39>
22936109245181358133133531854324882025433012523558264180525269459615077203017708735434914174137463224899060896129550516089976562683430684526725747541640144437744935527588316026473192327216410339917185737104183<209>

Resuming ECM residue saved by @9d020732ec94 with GMP-ECM 7.0.5-dev on Tue Sep 27 18:46:45 2022 
Input number is 3956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956228956229 (247 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:508271810
Step 1 took 0ms
Step 2 took 6204ms
********** Factor found in step 2: 172489105015059145306439444573202916963
Found prime factor of 39 digits: 172489105015059145306439444573202916963
Prime cofactor 22936109245181358133133531854324882025433012523558264180525269459615077203017708735434914174137463224899060896129550516089976562683430684526725747541640144437744935527588316026473192327216410339917185737104183 has 209 digits

1305555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557<250>

2458448190374643009791327180544440496166931521<46>

531048634934463230082604471816380495986763773320680438551973097216062038433942632046796664599949711764392517105245499380475243597666229912237724164414444594654270417809324163794255393631274915898792055717<204>

Resuming ECM residue saved by @ec0cb3b339ca with GMP-ECM 7.0.5-dev on Tue Feb  6 07:09:04 2024 
Input number is 1305555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557 (250 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2973960845
Step 1 took 0ms
Step 2 took 11268ms
********** Factor found in step 2: 2458448190374643009791327180544440496166931521
Found prime factor of 46 digits: 2458448190374643009791327180544440496166931521
Composite cofactor 531048634934463230082604471816380495986763773320680438551973097216062038433942632046796664599949711764392517105245499380475243597666229912237724164414444594654270417809324163794255393631274915898792055717 has 204 digits

303730772293541420299318230496851354890956916830768676842860398069645278340733112765243972607651164361191418133210242653432833565316817681127186208950950747688968112826874004586247912151786654535214462338336633<210>

4880456923114404222760717345444278851<37>
62234085266696570358225370349143434141660676305768226775497711456431044466726352386154003116629422084402500576233215963069518934946329104129824367534948879784205987793992083<173>

Resuming ECM residue saved by @9d020732ec94 with GMP-ECM 7.0.5-dev on Tue Sep 27 18:06:48 2022 
Input number is 303730772293541420299318230496851354890956916830768676842860398069645278340733112765243972607651164361191418133210242653432833565316817681127186208950950747688968112826874004586247912151786654535214462338336633 (210 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2189985723
Step 1 took 0ms
Step 2 took 4931ms
********** Factor found in step 2: 4880456923114404222760717345444278851
Found prime factor of 37 digits: 4880456923114404222760717345444278851
Prime cofactor 62234085266696570358225370349143434141660676305768226775497711456431044466726352386154003116629422084402500576233215963069518934946329104129824367534948879784205987793992083 has 173 digits

9093754855726495702682293158308503706378428536162492567403278610521932538532967450169880240975680799700622755037315236281329755857912456364584745525742976604833545086252252571448799919615850694878574496732451353654942216230714767661180593976669821<247>

13631722605609817398350362507186292559444928371208312585985564445789424392852556079276461086592600318364799278118303580207595542013944804173191221187337808635025269625820772906540426079058713502084164355929757<209>

27779877284213362443772917175565142269842457<44>
490704925228607766384551468770199897235993286782037605108094312922088082874868448762983992380503052617837372986608051389911316685315308289804762331290674686094468901<165>

Resuming ECM residue saved by @f661cad5629e with GMP-ECM 7.0.5-dev on Tue Feb  6 04:25:11 2024 
Input number is 13631722605609817398350362507186292559444928371208312585985564445789424392852556079276461086592600318364799278118303580207595542013944804173191221187337808635025269625820772906540426079058713502084164355929757 (209 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2958095525
Step 1 took 0ms
Step 2 took 8891ms
********** Factor found in step 2: 27779877284213362443772917175565142269842457
Found prime factor of 44 digits: 27779877284213362443772917175565142269842457
Prime cofactor 490704925228607766384551468770199897235993286782037605108094312922088082874868448762983992380503052617837372986608051389911316685315308289804762331290674686094468901 has 165 digits

7842322698470746296222942470670004619804715180937758590277216324834606185614985338354196219965771314314189900572922814142261037337586405655761216474489186443924923050698154267453<178>

5098864864382269658256165104217280423695482028027171484382245345213578908582161540931407565501519045592787401063042416075284245315922854519300081468479635786848981218545115464393380762210697769673945870215921370896219712929<223>

1689067219887212572329631803614871226305783008222393601451120054973603616863606873241456414094767136064915841399204309901543481125565070250893182339636400321466148296968147340366724237265040507497568138516967068349851620116620963382704552545034018029434131<256>

1330973373594904750755302385573067483314020382564972560149078604764297071883116151324166269364343188920359248420258514572508495728971161711569499068379431521866421083152467<172>

2484682215601636443095668437313627602245236642600658210825022395822545532523428268300365366619153765745232377519233599516482125143071199455368928896101913578560019157468380916455814630321756275934107285658755986067236749023494118763480527779701367<247>

15771578584894980570523730956750990365970647396605732383790761496613835489518817793631190399797126260884181813653271461546748082495029327192127027247582946044365621980770163605066679331789487264454595891609140117651696513322174876110715017617<242>

43091873537193711062138758429799673439876701615014691808658582908199607878801221239139267943294999496687143013480856441609839000973865072165347952209200048497494150040748370494523335713043582616709818818011896032120213836733821102533638487<239>

2205911751496312012695751029461300922799668743860554857221818353988556546480577135335461221315439247438838402790552871077467016720024990875204025337531167165681977579322950854744417811873925501498592479666502849512155519959<223>

2756691598231995633877603972799475289673955522485978522674861794940107189671777931019329407209315356430152411802962199152754712963953843801352519502957262168449831198570522620030690106098827332572667182132012465166828108784976876176774711379<241>

59578951953257350250161068514775527601364528961010481112737866624765520398227155069927049781259604268135634316852804169637247016374403568450463566505034519305360093542790579479986440915883784163930511828522207751981918812479237699079280101609477<245>

76764362946640616356710429206807250203182039116781801092116987930066128761724011275805556584688004335943903776050054347241690726300296991389871899021812890335720082412991829706219470702609429560954902132986283151073143679324369912114780526710921524432660415686447<263>

22887113538660929952087126423399358375286822278307198615965837753383472906590230577482583956490438289070371579885584290120388458059229698286480740992388733898177993929898519441070101217599605493966394236572311817258680388569<224>

465602328574458903066384170269832033<36>

49155925849285853891808410614181010320102648101407539478306776453800025161339019427555435119132945574099840090346829084920934607824693918311438360583036002700100732217809516004092818121593<188>

Resuming ECM residue saved by @9d020732ec94 with GMP-ECM 7.0.5-dev on Tue Sep 27 20:01:30 2022 
Input number is 22887113538660929952087126423399358375286822278307198615965837753383472906590230577482583956490438289070371579885584290120388458059229698286480740992388733898177993929898519441070101217599605493966394236572311817258680388569 (224 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2225803862
Step 1 took 0ms
Step 2 took 5427ms
********** Factor found in step 2: 465602328574458903066384170269832033
Found prime factor of 36 digits: 465602328574458903066384170269832033
Composite cofactor 49155925849285853891808410614181010320102648101407539478306776453800025161339019427555435119132945574099840090346829084920934607824693918311438360583036002700100732217809516004092818121593 has 188 digits

1056512522429725807895380051246370428883406204307357765814543630059012996499851618771125910468879140783789227053616604082643277909984458016903607662595788513758490804883027974973383676996178827341529927585984994322351482973002760591247835658091823<247>

627245079632191359823154564203872222179<39>

1684369565799147420091725624847151377888582236601098973019147638840007902199691239960862971966163878485759297038567380626978988336778706617554389625134235031937303906314703240875176310466188911216433029632837<208>

Resuming ECM residue saved by @9d020732ec94 with GMP-ECM 7.0.5-dev on Tue Sep 27 19:54:06 2022 
Input number is 1056512522429725807895380051246370428883406204307357765814543630059012996499851618771125910468879140783789227053616604082643277909984458016903607662595788513758490804883027974973383676996178827341529927585984994322351482973002760591247835658091823 (247 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3037629740
Step 1 took 1ms
Step 2 took 5993ms
********** Factor found in step 2: 627245079632191359823154564203872222179
Found prime factor of 39 digits: 627245079632191359823154564203872222179
Composite cofactor 1684369565799147420091725624847151377888582236601098973019147638840007902199691239960862971966163878485759297038567380626978988336778706617554389625134235031937303906314703240875176310466188911216433029632837 has 208 digits

19611770400413933536961928129120558142640161567606362559043947056565353095321549580224659089012401315240431959674861883063775808255303523442324704154357151202577070084956520287750571662243586533807353996628444577971391851518034483334167876754627543271076394104785271977701<272>

1437588946660685378287396178078673549852673439201509280781391050688356237998459720184930486300105902119988705993960901594604237560034754182489987830161397106831648524486710510046844043250990827508070566615416345684198200685210556611738194271310577337<250>

18855462972753623553926966495247582187073<41>

76242569526827271694745887743871072945945678744142009448721428902493752615827267097822172966089161532345187976551012776052587107037976898120502250880846588083251717288192790618698827664889520252637148745794169<209>

GPU: factor 18855462972753623553926966495247582187073 found in Step 1 with curve 1099 (-sigma 3:1428340406)
Computing 1792 Step 1 took 1049ms of CPU time / 982043ms of GPU time
Throughput: 1.825 curves per second (on average 548.02ms per Step 1)
********** Factor found in step 1: 18855462972753623553926966495247582187073
Found prime factor of 41 digits: 18855462972753623553926966495247582187073
Composite cofactor 76242569526827271694745887743871072945945678744142009448721428902493752615827267097822172966089161532345187976551012776052587107037976898120502250880846588083251717288192790618698827664889520252637148745794169 has 209 digits
Peak memory usage: 9470MB

306605120796571847658963686353639142082712971339450998366738211123933639020186675793994691239070094299731535313884899133041138752857360526449325104801375920670739417845307691102244463006617100265649113333555466693141712254138893<228>