2701674277016742770167427701674277016742770167427701674277016742770167427701674277016742770167427701674277016742770167427701674277<130>

45457754464404234495262793655288315275933323476464970581992681<62>
59432638256082205399274693711924549747778469641913763827104790762717<68>

N=2701674277016742770167427701674277016742770167427701674277016742770167427701674277016742770167427701674277016742770167427701674277
  ( 130 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=45457754464404234495262793655288315275933323476464970581992681 (pp62)
 r2=59432638256082205399274693711924549747778469641913763827104790762717 (pp68)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.03 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2701674277016742770167427701674277016742770167427701674277016742770167427701674277016742770167427701674277016742770167427701674277
m: 500000000000000000000000000000000
deg: 4
c4: 142
c0: -55
skew: 0.79
# Murphy_E = 9.634e-09
type: snfs
lss: 1
rlim: 1150000
alim: 1150000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1150000/1150000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [575000, 1375001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 129626 x 129851
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,132.000,4,0,0,0,0,0,0,0,0,1150000,1150000,26,26,47,47,2.3,2.3,100000
total time: 0.03 hours.
 --------- CPU info (if available) ----------

151250702109999540005892229666965726493664288921821270405589127515748592306657002614290653335857088505858696797069288840351<123>

3602497537257874391130866058284684519<37>
41984956421407456171722522621033437177535571192407631211673918235562532914782994254729<86>

N=151250702109999540005892229666965726493664288921821270405589127515748592306657002614290653335857088505858696797069288840351
  ( 123 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=3602497537257874391130866058284684519 (pp37)
 r2=41984956421407456171722522621033437177535571192407631211673918235562532914782994254729 (pp86)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.04 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 151250702109999540005892229666965726493664288921821270405589127515748592306657002614290653335857088505858696797069288840351
m: 1000000000000000000000000000000000
deg: 4
c4: 355
c0: -22
skew: 0.50
# Murphy_E = 7.218e-09
type: snfs
lss: 1
rlim: 1220000
alim: 1220000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1220000/1220000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [610000, 1610001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 148561 x 148786
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,134.000,4,0,0,0,0,0,0,0,0,1220000,1220000,26,26,47,47,2.3,2.3,100000
total time: 0.04 hours.
 --------- CPU info (if available) ----------

41002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541<134>

11138196617160362264196972649188734878744579507478615672471<59>
3681254911532925776533981863915984496944322424706125460319163837067645310171<76>

Number: n
N=41002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541  ( 134 digits)
SNFS difficulty: 137 digits.
Divisors found:

Sat Nov 26 16:41:30 2022  p59 factor: 11138196617160362264196972649188734878744579507478615672471
Sat Nov 26 16:41:30 2022  p76 factor: 3681254911532925776533981863915984496944322424706125460319163837067645310171
Sat Nov 26 16:41:30 2022  elapsed time 00:03:03 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 71x10^136-44 = 78(135)4
#
n: 41002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541
m: 10000000000000000000000000000000000
deg: 4
c4: 71
c0: -44
skew: 0.89
# Murphy_E = 5.174e-09
type: snfs
lss: 1
rlim: 1390000
alim: 1390000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1390000/1390000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6295000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 536288 hash collisions in 6262410 relations (6394134 unique)
Msieve: matrix is 233636 x 233861 (76.8 MB)

Sieving start time : 2022/11/26 16:26:54
Sieving end time  : 2022/11/26 16:38:05

Total sieving time: 0hrs 11min 11secs.

Total relation processing time: 0hrs 1min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 15sec.

Prototype def-par.txt line would be:
snfs,137,4,0,0,0,0,0,0,0,0,1390000,1390000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

178093228544281000011036763459082202817585376890421995667568671243913475787849326105256609767134324434691958915146352500178093228544281<135>

19500757369230343929555689054723963852466401<44>
9132631372835237998054716865199460309486176393627466964006543725549591513830203985577645881<91>

Number: n
N=178093228544281000011036763459082202817585376890421995667568671243913475787849326105256609767134324434691958915146352500178093228544281  ( 135 digits)
SNFS difficulty: 140 digits.
Divisors found:

Sat Nov 26 16:19:55 2022  p44 factor: 19500757369230343929555689054723963852466401
Sat Nov 26 16:19:55 2022  p91 factor: 9132631372835237998054716865199460309486176393627466964006543725549591513830203985577645881
Sat Nov 26 16:19:55 2022  elapsed time 00:03:01 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.251).
Factorization parameters were as follows:
#
# N = 71x10^139-44 = 78(138)4
#
n: 178093228544281000011036763459082202817585376890421995667568671243913475787849326105256609767134324434691958915146352500178093228544281
m: 50000000000000000000000000000000000
deg: 4
c4: 142
c0: -55
skew: 0.79
# Murphy_E = 3.87e-09
type: snfs
lss: 1
rlim: 1560000
alim: 1560000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6380000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 375095 hash collisions in 5870300 relations (6166930 unique)
Msieve: matrix is 218028 x 218253 (75.1 MB)

Sieving start time : 2022/11/26 15:48:25
Sieving end time  : 2022/11/26 16:16:29

Total sieving time: 0hrs 28min 4secs.

Total relation processing time: 0hrs 1min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 22sec.

Prototype def-par.txt line would be:
snfs,140,4,0,0,0,0,0,0,0,0,1560000,1560000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

89156809333879893602041758090584947866524844352902211991143916190934923640511097654781540116070331922735511<107>

195924685732317796123288648227627793<36>
455056538693089602644130086666239176630736799661015566482212094725810727<72>

89156809333879893602041758090584947866524844352902211991143916190934923640511097654781540116070331922735511=195924685732317796123288648227627793*455056538693089602644130086666239176630736799661015566482212094725810727

cado polynomial
n: 89156809333879893602041758090584947866524844352902211991143916190934923640511097654781540116070331922735511
skew: 23030.977
c0: 8240123640785308581612640
c1: -1616300498115016739775
c2: 14570511645381916
c3: 5375358414439
c4: 28130244
c5: 1440
Y0: -658018550125118755798
Y1: 122412173772263
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 2.707e-06
# f(x) = 1440*x^5+28130244*x^4+5375358414439*x^3+14570511645381916*x^2-1616300498115016739775*x+8240123640785308581612640
# g(x) = 122412173772263*x-658018550125118755798

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

cado log (extracts)
Info:Square Root: Factors: 195924685732317796123288648227627793 455056538693089602644130086666239176630736799661015566482212094725810727
Info:Square Root: Total cpu/real time for sqrt: 67.51/23.6592
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10047/30.810/37.961/44.080/1.148
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7766/29.450/33.627/38.360/0.900
Info:Polynomial Selection (size optimized): Total time: 491.6
Info:Quadratic Characters: Total cpu/real time for characters: 9.08/4.46871
Info:Generate Factor Base: Total cpu/real time for makefb: 1.49/0.742467
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 61.43/74.1772
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 56.30000000000001s
Info:Generate Free Relations: Total cpu/real time for freerel: 62.6/20.563
Info:Square Root: Total cpu/real time for sqrt: 67.51/23.6592
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 20.49/23.3701
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 22.900000000000002s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 36.46/50.5185
Info:Filtering - Merging: Merged matrix has 240814 rows and total weight 35230995 (146.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 34.69/13.2255
Info:Filtering - Merging: Total cpu/real time for replay: 7.77/6.43546
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4969645
Info:Lattice Sieving: Average J: 1906.21 for 58566 special-q, max bucket fill -bkmult 1.0,1s:1.331810
Info:Lattice Sieving: Total time: 6996.69s
Info:Linear Algebra: Total cpu/real time for bwc: 2061.25/781.98
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 412.66, WCT time 193.55, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (7552 iterations)
Info:Linear Algebra: Lingen CPU time 1398.87, WCT time 472.41
Info:Linear Algebra: Mksol: CPU time 231.61,  WCT time 106.66, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (3840 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 172.04
Info:Polynomial Selection (root optimized): Rootsieve time: 171.42
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 12683.2/4736.65
Info:root: Cleaning up computation data in /tmp/cado.5wnu3u15
195924685732317796123288648227627793 455056538693089602644130086666239176630736799661015566482212094725810727

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)

3871497087088290566276153564482537868284078170732906421725880032835270211962089630051215143987912098903919028416676385967040645784449<133>

1078428113212405059171856627003004987996393377768340261<55>
3589944512440365313146816844087674761238934373453983625372972033574394029336109<79>

Number: n
N=3871497087088290566276153564482537868284078170732906421725880032835270211962089630051215143987912098903919028416676385967040645784449  ( 133 digits)
SNFS difficulty: 146 digits.
Divisors found:

Sat Nov 26 17:27:15 2022  p55 factor: 1078428113212405059171856627003004987996393377768340261
Sat Nov 26 17:27:15 2022  p79 factor: 3589944512440365313146816844087674761238934373453983625372972033574394029336109
Sat Nov 26 17:27:15 2022  elapsed time 00:03:27 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.299).
Factorization parameters were as follows:
#
# N = 71x10^145-44 = 78(144)4
#
n: 3871497087088290566276153564482537868284078170732906421725880032835270211962089630051215143987912098903919028416676385967040645784449
m: 1000000000000000000000000000000000000
deg: 4
c4: 355
c0: -22
skew: 0.50
# Murphy_E = 1.815e-09
type: snfs
lss: 1
rlim: 1940000
alim: 1940000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1940000/1940000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6570000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 431629 hash collisions in 5803511 relations (6031890 unique)
Msieve: matrix is 317096 x 317321 (109.5 MB)

Sieving start time : 2022/11/26 16:58:55
Sieving end time  : 2022/11/26 17:23:32

Total sieving time: 0hrs 24min 37secs.

Total relation processing time: 0hrs 1min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 12sec.

Prototype def-par.txt line would be:
snfs,146,4,0,0,0,0,0,0,0,0,1940000,1940000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

18258407361403078474459970056829112899900138341123810013443433895600730867074072939138330107047036506703165377278511657746226015486071360501<140>

3509888545067668383145268188313750742975567083477637693374608379<64>
5201990640717358784013983176745557386285595287814086426643494975788177984719<76>

Number: n
N=18258407361403078474459970056829112899900138341123810013443433895600730867074072939138330107047036506703165377278511657746226015486071360501  ( 140 digits)
SNFS difficulty: 147 digits.
Divisors found:

Sat Nov 26 12:31:21 2022  p64 factor: 3509888545067668383145268188313750742975567083477637693374608379
Sat Nov 26 12:31:21 2022  p76 factor: 5201990640717358784013983176745557386285595287814086426643494975788177984719
Sat Nov 26 12:31:21 2022  elapsed time 00:03:41 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.284).
Factorization parameters were as follows:
#
# N = 71x10^146-44 = 78(145)4
#
n: 18258407361403078474459970056829112899900138341123810013443433895600730867074072939138330107047036506703165377278511657746226015486071360501
m: 1000000000000000000000000000000000000
deg: 4
c4: 1775
c0: -11
skew: 0.28
# Murphy_E = 2.126e-09
type: snfs
lss: 1
rlim: 1990000
alim: 1990000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1990000/1990000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6595000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 576672 hash collisions in 6990254 relations (7167187 unique)
Msieve: matrix is 289740 x 289965 (97.8 MB)

Sieving start time : 2022/11/26 12:01:00
Sieving end time  : 2022/11/26 12:27:26

Total sieving time: 0hrs 26min 26secs.

Total relation processing time: 0hrs 1min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 41sec.

Prototype def-par.txt line would be:
snfs,147,4,0,0,0,0,0,0,0,0,1990000,1990000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

21753052936096022598993707198334123550407384780424638975872054075237884681090900321366394462643674532980660758126983069592865717<128>

39643774157679012482525703876655962242177679487<47>
548712966872818512337671079223319635807146634290588345875678000826015908266105291<81>

Number: n
N=21753052936096022598993707198334123550407384780424638975872054075237884681090900321366394462643674532980660758126983069592865717  ( 128 digits)
SNFS difficulty: 151 digits.
Divisors found:

Wed Nov 30 14:07:51 2022  p47 factor: 39643774157679012482525703876655962242177679487
Wed Nov 30 14:07:51 2022  p81 factor: 548712966872818512337671079223319635807146634290588345875678000826015908266105291
Wed Nov 30 14:07:51 2022  elapsed time 00:05:34 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.334).
Factorization parameters were as follows:
#
# N = 71x10^150-44 = 78(149)4
#
n: 21753052936096022598993707198334123550407384780424638975872054075237884681090900321366394462643674532980660758126983069592865717
m: 10000000000000000000000000000000000000
deg: 4
c4: 1775
c0: -11
skew: 0.28
# Murphy_E = 1.329e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 21150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1097934 hash collisions in 13568948 relations (13889253 unique)
Msieve: matrix is 460243 x 460490 (84.8 MB)

Sieving start time : 2022/11/30 11:50:10
Sieving end time  : 2022/11/30 14:01:29

Total sieving time: 2hrs 11min 19secs.

Total relation processing time: 0hrs 1min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 14sec.

Prototype def-par.txt line would be:
snfs,151,4,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1421901132559829816986745209582286845112081173882910389884876559891847974369907782949528238528872991507650077465658855014492992300667<133>

1381436059529719360237360815402001510344947081<46>
1029292034727894632764377184913997967463741207851308394287471058612459832407471032123107<88>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1421901132559829816986745209582286845112081173882910389884876559891847974369907782949528238528872991507650077465658855014492992300667 (133 digits)
Using B1=33950000, B2=144293429296, polynomial Dickson(12), sigma=1:3243930325
Step 1 took 52984ms
Step 2 took 19423ms
********** Factor found in step 2: 1381436059529719360237360815402001510344947081
Found prime factor of 46 digits: 1381436059529719360237360815402001510344947081
Prime cofactor 1029292034727894632764377184913997967463741207851308394287471058612459832407471032123107 has 88 digits

378502687184080738250574740159936668366190836101067382377514063922046942059542198971444515389839503615032485424845690399<120>

8161791047181250736448686510757251<34>
23197703923997449967153294057066533194583<41>
1999118296217873382783281164773354773804670803<46>

378502687184080738250574740159936668366190836101067382377514063922046942059542198971444515389839503615032485424845690399=8161791047181250736448686510757251*23197703923997449967153294057066533194583*1999118296217873382783281164773354773804670803

cado polynomial
n: 378502687184080738250574740159936668366190836101067382377514063922046942059542198971444515389839503615032485424845690399
skew: 58724.374
c0: 9078210075350785346260779760
c1: -457051053279700385543306
c2: -17565462791837969641
c3: 411135679906787
c4: 3442934940
c5: -10800
Y0: -253974629440049046426653
Y1: 3991061420521939
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.472e-06
# f(x) = -10800*x^5+3442934940*x^4+411135679906787*x^3-17565462791837969641*x^2-457051053279700385543306*x+9078210075350785346260779760
# g(x) = 3991061420521939*x-253974629440049046426653

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: 23197703923997449967153294057066533194583 1999118296217873382783281164773354773804670803 8161791047181250736448686510757251
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 406.95/117.907
Info:HTTP server: Got notification to stop serving Workunits
Info:Quadratic Characters: Total cpu/real time for characters: 22.07/8.48113
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.2/48.9276
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.8s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 48.27/44.2519
Info:Filtering - Merging: Merged matrix has 699477 rows and total weight 70924608 (101.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 55.14/17.6142
Info:Filtering - Merging: Total cpu/real time for replay: 16.55/13.7488
Info:Generate Factor Base: Total cpu/real time for makefb: 4.86/1.31643
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13449576
Info:Lattice Sieving: Average J: 1899.39 for 253737 special-q, max bucket fill -bkmult 1.0,1s:1.267140
Info:Lattice Sieving: Total time: 30135.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 142.52/166.603
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 154.7s
Info:Linear Algebra: Total cpu/real time for bwc: 5371.22/1484.06
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3309.76, WCT time 869.43, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (22016 iterations)
Info:Linear Algebra: Lingen CPU time 91.3, WCT time 92.81
Info:Linear Algebra: Mksol: CPU time 1885.09,  WCT time 493.08, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (11008 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1534.79
Info:Polynomial Selection (root optimized): Rootsieve time: 1532.37
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21487.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 14807/34.710/42.747/46.710/1.022
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11698/34.470/37.743/43.090/0.777
Info:Polynomial Selection (size optimized): Total time: 2110.19
Info:Square Root: Total cpu/real time for sqrt: 406.95/117.907
Info:Generate Free Relations: Total cpu/real time for freerel: 125.31/33.3167
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 66246.7/18200.3
Info:root: Cleaning up computation data in /tmp/cado.ebax_iok
23197703923997449967153294057066533194583 1999118296217873382783281164773354773804670803 8161791047181250736448686510757251

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)

4903220103478662014822917788882535420585789777545738065838505885245312935937702862099351669995331581985983696447858743062979445148850712831519832489427<151>

851762113361255876378489877712050437025818581677107917807199088151039<69>
5756560460442868654290409909919139730585134667375939629085999699491847388125365293<82>

Number: n
N=4903220103478662014822917788882535420585789777545738065838505885245312935937702862099351669995331581985983696447858743062979445148850712831519832489427  ( 151 digits)
SNFS difficulty: 156 digits.
Divisors found:

Sun Nov 27 12:28:17 2022  p69 factor: 851762113361255876378489877712050437025818581677107917807199088151039
Sun Nov 27 12:28:17 2022  p82 factor: 5756560460442868654290409909919139730585134667375939629085999699491847388125365293
Sun Nov 27 12:28:17 2022  elapsed time 00:05:35 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 71x10^155-44 = 78(154)4
#
n: 4903220103478662014822917788882535420585789777545738065838505885245312935937702862099351669995331581985983696447858743062979445148850712831519832489427
m: 10000000000000000000000000000000
deg: 5
c5: 71
c0: -44
skew: 0.91
# Murphy_E = 6.882e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 14250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1483365 hash collisions in 13739826 relations (13084735 unique)
Msieve: matrix is 374717 x 374942 (126.4 MB)

Sieving start time : 2022/11/27 11:12:59
Sieving end time  : 2022/11/27 12:22:00

Total sieving time: 1hrs 9min 1secs.

Total relation processing time: 0hrs 2min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 18sec.

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) ----------

7178626319160165726832759088318105371401378336626356731969737506522157579894715063604581170731538092306372539916316423453670760693<130>

25959957924548673649829270178033991642886348886770084872351<59>
276526885753223715862545641421922597944239028974505190876838819248689643<72>

7178626319160165726832759088318105371401378336626356731969737506522157579894715063604581170731538092306372539916316423453670760693=25959957924548673649829270178033991642886348886770084872351*276526885753223715862545641421922597944239028974505190876838819248689643

cado polynomial
n: 7178626319160165726832759088318105371401378336626356731969737506522157579894715063604581170731538092306372539916316423453670760693
skew: 0.36
type: snfs
c0: -11
c5: 1775
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 1775*x^5-11
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 3000000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 276526885753223715862545641421922597944239028974505190876838819248689643 25959957924548673649829270178033991642886348886770084872351
Info:Square Root: Total cpu/real time for sqrt: 69.57/21.9976
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.81/44.7093
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 44.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 81.53/67.3858
Info:Filtering - Merging: Merged matrix has 358611 rows and total weight 61100817 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 73.15/20.6363
Info:Filtering - Merging: Total cpu/real time for replay: 10.84/9.36924
Info:Generate Factor Base: Total cpu/real time for makefb: 1.31/0.768676
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11645907
Info:Lattice Sieving: Average J: 1894.9 for 290952 special-q, max bucket fill -bkmult 1.0,1s:1.233940
Info:Lattice Sieving: Total time: 33638.3s
Info:Linear Algebra: Total cpu/real time for bwc: 1831.7/493.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1126.5, WCT time 301.66, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11264 iterations)
Info:Linear Algebra: Lingen CPU time 57.51, WCT time 15.07
Info:Linear Algebra: Mksol: CPU time 615.47,  WCT time 163.07, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5632 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 59.75/18.0112
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 104.89/93.6127
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 85.0s
Info:Quadratic Characters: Total cpu/real time for characters: 11.01/4.41816
Info:Square Root: Total cpu/real time for sqrt: 69.57/21.9976
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 63478.5/17743
Info:root: Cleaning up computation data in /tmp/cado.1i0an2f7
276526885753223715862545641421922597944239028974505190876838819248689643 25959957924548673649829270178033991642886348886770084872351

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)

5038432185715271678320294578681063087067735283313752347606461161316129238192118223496580794941269574500780000591315024447688091645276187<136>

12006590775646614302385789717063079680309553<44>
419638870005872019331606356515585507316422665926678068973269651354083508346022365368546765579<93>

5038432185715271678320294578681063087067735283313752347606461161316129238192118223496580794941269574500780000591315024447688091645276187=
12006590775646614302385789717063079680309553*419638870005872019331606356515585507316422665926678068973269651354083508346022365368546765579

cado polynomial
n: 5038432185715271678320294578681063087067735283313752347606461161316129238192118223496580794941269574500780000591315024447688091645276187
skew: 0.36
type: snfs
c0: -11
c5: 1775
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 1775*x^5-11
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3700000
tasks.lim1 = 3700000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 12006590775646614302385789717063079680309553 419638870005872019331606356515585507316422665926678068973269651354083508346022365368546765579
Info:Square Root: Total cpu/real time for sqrt: 113.7/37.9492
Info:Generate Free Relations: Total cpu/real time for freerel: 60.97/17.4311
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 47.83/48.1282
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 64.91/56.1177
Info:Filtering - Merging: Merged matrix has 513363 rows and total weight 87688659 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 107.76/30.5404
Info:Filtering - Merging: Total cpu/real time for replay: 16.47/14.2073
Info:Generate Factor Base: Total cpu/real time for makefb: 1.64/0.969888
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11619267
Info:Lattice Sieving: Average J: 1894.39 for 349509 special-q, max bucket fill -bkmult 1.0,1s:1.246870
Info:Lattice Sieving: Total time: 41964.2s
Info:Linear Algebra: Total cpu/real time for bwc: 3980.09/1066.24
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2491.1, WCT time 664.54, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16128 iterations)
Info:Linear Algebra: Lingen CPU time 85.95, WCT time 22.44
Info:Linear Algebra: Mksol: CPU time 1354.04,  WCT time 358.22, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8064 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 16.58/6.65546
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 105.25/93.072
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 80.30000000000001s
Info:Square Root: Total cpu/real time for sqrt: 113.7/37.9492
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 80882.4/22517.4
Info:root: Cleaning up computation data in /tmp/cado.ya09puc8
12006590775646614302385789717063079680309553 419638870005872019331606356515585507316422665926678068973269651354083508346022365368546765579

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)

1264910605333190768947660366621440103240034349993227334958964643598733936092844213091004462184338499<100>

39028535525933462745595795995978844115799236893<47>
32409891590543797186432842819748994901865306162539743<53>

Number: 1
N=1264910605333190768947660366621440103240034349993227334958964643598733936092844213091004462184338499
  ( 100 digits)
Divisors found:
 r1=39028535525933462745595795995978844115799236893 (pp47)
 r2=32409891590543797186432842819748994901865306162539743 (pp53)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.05 hours.
Scaled time: 23.77 units (timescale=7.794).
Factorization parameters were as follows:
name: 1
n: 1264910605333190768947660366621440103240034349993227334958964643598733936092844213091004462184338499
skew: 15145.01
# norm 7.73e+013
c5: 3840
c4: -346542402
c3: -1918010815097
c2: 45496906331269354
c1: 181277611412590275838
c0: 518348739975745949894427
# alpha -5.54
Y1: 20405740333
Y0: -12692825947165871822
# Murphy_E 3.27e-009
# M 456849564012678475524956471682071531571830542210662531902625829502575419870474485843047452043346889
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 187923 x 188150
Total sieving time: 3.01 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 3.05 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

2411914176620058973000149470737706031823678882502411914176620058973000149470737706031823678882502411914176620058973000149470737706031823678882502411914176620058973<163>

171094889376380986624094795320924693273810153597803297081679264601021337437172889<81>
14096938753759261952475980414900140989689056593458654472335575266617510875393638757<83>

Number: n
N=2411914176620058973000149470737706031823678882502411914176620058973000149470737706031823678882502411914176620058973000149470737706031823678882502411914176620058973  ( 163 digits)
SNFS difficulty: 167 digits.
Divisors found:

Sat Nov 26 23:13:53 2022  p81 factor: 171094889376380986624094795320924693273810153597803297081679264601021337437172889
Sat Nov 26 23:13:53 2022  p83 factor: 14096938753759261952475980414900140989689056593458654472335575266617510875393638757
Sat Nov 26 23:13:53 2022  elapsed time 00:09:58 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 71x10^166-44 = 78(165)4
#
n: 2411914176620058973000149470737706031823678882502411914176620058973000149470737706031823678882502411914176620058973000149470737706031823678882502411914176620058973
m: 1000000000000000000000000000000000
deg: 5
c5: 355
c0: -22
skew: 0.57
# Murphy_E = 2.673e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1585692 hash collisions in 13543778 relations (12741676 unique)
Msieve: matrix is 561816 x 562043 (193.7 MB)

Sieving start time : 2022/11/26 22:17:57
Sieving end time  : 2022/11/26 23:03:32

Total sieving time: 0hrs 45min 35secs.

Total relation processing time: 0hrs 4min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 17sec.

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

55321638641835953830620427224413699170429059445324214557143139508359409948279423829981945006984568663470853368652579281071323839054911989931<140>

3068857189262978352107798477242721226050246756524757<52>
18026788224421119769990670189227016067338864065254203293229239110574602463559073014144383<89>

55321638641835953830620427224413699170429059445324214557143139508359409948279423829981945006984568663470853368652579281071323839054911989931=3068857189262978352107798477242721226050246756524757*18026788224421119769990670189227016067338864065254203293229239110574602463559073014144383

cado polynomial
n: 55321638641835953830620427224413699170429059445324214557143139508359409948279423829981945006984568663470853368652579281071323839054911989931
skew: 0.36
type: snfs
c0: -11
c5: 1775
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 1775*x^5-11
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4500000
tasks.lim1 = 4500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 18026788224421119769990670189227016067338864065254203293229239110574602463559073014144383 3068857189262978352107798477242721226050246756524757
Info:Square Root: Total cpu/real time for sqrt: 241.13/45.9805
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.14/0.534675
Info:Generate Free Relations: Total cpu/real time for freerel: 49.16/6.39165
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11639588
Info:Lattice Sieving: Average J: 1894.15 for 437607 special-q, max bucket fill -bkmult 1.0,1s:1.123390
Info:Lattice Sieving: Total time: 55639.1s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 26.47/19.9244
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 120.53/36.8194
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 34.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 54.16/23.5995
Info:Filtering - Merging: Merged matrix has 795011 rows and total weight 135257711 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 177.15/26.1191
Info:Filtering - Merging: Total cpu/real time for replay: 26.01/21.4099
Info:Linear Algebra: Total cpu/real time for bwc: 6267.54/1634.18
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1022.48, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25088 iterations)
Info:Linear Algebra: Lingen CPU time 79.25, WCT time 21.47
Info:Linear Algebra: Mksol: WCT time 564.38, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 37.25/9.17125
Info:Square Root: Total cpu/real time for sqrt: 241.13/45.9805
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 138868/29798.8
Info:root: Cleaning up computation data in /tmp/cado.f7xckshp
18026788224421119769990670189227016067338864065254203293229239110574602463559073014144383 3068857189262978352107798477242721226050246756524757

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)

784259801127618904142774436540042258888411487288024764836449778793353905923743361183577408919206838842137159085640440472981788781575090192021279600447<150>

10182730680439985514988350342257929027<38>
77018613743178350437457830592043478411679075934932955139591694685552349984763326814159504201741174742822828197461<113>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 784259801127618904142774436540042258888411487288024764836449778793353905923743361183577408919206838842137159085640440472981788781575090192021279600447 (150 digits)
Using B1=25810000, B2=96191014936, polynomial Dickson(12), sigma=1:2749036040
Step 1 took 51150ms
Step 2 took 17810ms
********** Factor found in step 2: 10182730680439985514988350342257929027
Found prime factor of 38 digits: 10182730680439985514988350342257929027
Prime cofactor 77018613743178350437457830592043478411679075934932955139591694685552349984763326814159504201741174742822828197461 has 113 digits

76348111156654306433223801933120969860402417088258694428286762024545607410202170893534638970930131353143118290657670838224278836104668446267<140>

974745132853525252463139490603419080265371591318526570989808280396451<69>
78326229681340836355129922074558606452539997790287989693926190571636617<71>

76348111156654306433223801933120969860402417088258694428286762024545607410202170893534638970930131353143118290657670838224278836104668446267=974745132853525252463139490603419080265371591318526570989808280396451*78326229681340836355129922074558606452539997790287989693926190571636617

cado polynomial
n: 76348111156654306433223801933120969860402417088258694428286762024545607410202170893534638970930131353143118290657670838224278836104668446267
skew: 0.72
type: snfs
c0: -55
c5: 284
Y0: 5000000000000000000000000000000000
Y1: -1
# f(x) = 284*x^5-55
# g(x) = -x+5000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4900000
tasks.lim1 = 4900000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 974745132853525252463139490603419080265371591318526570989808280396451 78326229681340836355129922074558606452539997790287989693926190571636617
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.78/0.727932
Info:Generate Free Relations: Total cpu/real time for freerel: 55.72/7.21422
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11758052
Info:Lattice Sieving: Average J: 1893.01 for 479985 special-q, max bucket fill -bkmult 1.0,1s:1.133540
Info:Lattice Sieving: Total time: 62702.3s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 29.25/22.1304
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 22.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 144.98/51.5814
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 46.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 80.28/36.5181
Info:Filtering - Merging: Merged matrix has 836502 rows and total weight 142702774 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 189.38/27.7679
Info:Filtering - Merging: Total cpu/real time for replay: 27.91/22.8472
Info:Linear Algebra: Total cpu/real time for bwc: 7061.28/1848.91
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1163.16, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26368 iterations)
Info:Linear Algebra: Lingen CPU time 83.14, WCT time 22.67
Info:Linear Algebra: Mksol: WCT time 635.34, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13312 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 39.66/9.63146
Info:Square Root: Total cpu/real time for sqrt: 436.41/78.1445
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 155143/33581.8
Info:root: Cleaning up computation data in /tmp/cado.vpjhi3uz
974745132853525252463139490603419080265371591318526570989808280396451 78326229681340836355129922074558606452539997790287989693926190571636617

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)

1103167976565616993824498859632443261365574348280832167694320876953513511611108984262200981138010117700370749<109>

655373292052128295012975163546065751202493<42>
1683266605374378264462528669118528975869400633315397422784341387393<67>

Number: 1
N=1103167976565616993824498859632443261365574348280832167694320876953513511611108984262200981138010117700370749
  ( 109 digits)
Divisors found:
 r1=655373292052128295012975163546065751202493 (pp42)
 r2=1683266605374378264462528669118528975869400633315397422784341387393 (pp67)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.47 hours.
Scaled time: 66.53 units (timescale=7.855).
Factorization parameters were as follows:
name: 1
n: 1103167976565616993824498859632443261365574348280832167694320876953513511611108984262200981138010117700370749
skew: 46568.64
# norm 1.62e+015
c5: 5460
c4: 620598784
c3: -71318741930615
c2: -777981970166622015
c1: 40961913444532640920943
c0: 150644975567014218605466620
# alpha -5.77
Y1: 94946011949
Y0: -726253954352721921351
# Murphy_E 1.13e-009
# M 780488021810728240167339267680110729360750967691181342848745180932469416804647131672000945612721291741008073
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, 2900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 382184 x 382409
Total sieving time: 8.40 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:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 8.47 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

1763411797708350635674824232569662884435578528256215058153631759558824939496091856425681474993264016709687776512745827151013629943194225105537237235645443936925573<163>

1149993264393739671423859629994336101216966642250739<52>
1533410544485229325422664691019675566402426315017716062249630684743539776675872766356586301140925295190748093607<112>

Number: n
N=1763411797708350635674824232569662884435578528256215058153631759558824939496091856425681474993264016709687776512745827151013629943194225105537237235645443936925573  ( 163 digits)
SNFS difficulty: 181 digits.
Divisors found:

Mon Dec  5 20:50:00 2022  p52 factor: 1149993264393739671423859629994336101216966642250739
Mon Dec  5 20:50:00 2022  p112 factor: 1533410544485229325422664691019675566402426315017716062249630684743539776675872766356586301140925295190748093607
Mon Dec  5 20:50:00 2022  elapsed time 00:14:19 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
#
# N = 71x10^180-44 = 78(179)4
#
n: 1763411797708350635674824232569662884435578528256215058153631759558824939496091856425681474993264016709687776512745827151013629943194225105537237235645443936925573
m: 1000000000000000000000000000000000000
deg: 5
c5: 71
c0: -44
skew: 0.91
# Murphy_E = 7.082e-11
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 16550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1762826 hash collisions in 12696497 relations (11578702 unique)
Msieve: matrix is 839998 x 840223 (287.7 MB)

Sieving start time : 2022/12/05 16:37:35
Sieving end time  : 2022/12/05 20:35:20

Total sieving time: 3hrs 57min 45secs.

Total relation processing time: 0hrs 10min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 51sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7500000,7500000,27,27,50,50,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

685308059902793679253028523033190662723773740320823223184754740141291456134909971806089637735439506761275905590935982227890997757863465459177578924274478182609<159>

1638295228825182048346474887084406832991742319<46>
364567035566844824008627299544287710694441057247<48>
1147403779932154022774938928270002805394111897513654285370541166113<67>

Number: n
N=418305594648057786948857532473947519700124315927581807111796081167491376182605878877887264102545223774047969470911  ( 114 digits)
Divisors found:

Wed Dec  7 08:28:08 2022  p48 factor: 364567035566844824008627299544287710694441057247
Wed Dec  7 08:28:08 2022  p67 factor: 1147403779932154022774938928270002805394111897513654285370541166113
Wed Dec  7 08:28:08 2022  elapsed time 00:04:38 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.308).
Factorization parameters were as follows:
#
# N = 71x10^181-44 = 78(180)4
# 
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 685308059902793679253028523033190662723773740320823223184754740141291456134909971806089637735439506761275905590935982227890997757863465459177578924274478182609 (159 digits)
# Using B1=31420000, B2=144290666536, polynomial Dickson(12), sigma=1:1908083750
# Step 1 took 74407ms
# Step 2 took 24655ms
# ********** Factor found in step 2: 1638295228825182048346474887084406832991742319
# Found prime factor of 46 digits: 1638295228825182048346474887084406832991742319
# Composite cofactor 418305594648057786948857532473947519700124315927581807111796081167491376182605878877887264102545223774047969470911 has 114 digits
#

n: 418305594648057786948857532473947519700124315927581807111796081167491376182605878877887264102545223774047969470911

Y0: -16558995882852149474549
Y1: 8202975724957
c0: -178793777022005765262892116960
c1: 4758248221612271727466068
c2: -3998746653730016944
c3: -161762633017903
c4: -24275410
c5: 336

# skew 312269.16, size 6.967e-11, alpha -6.865, combined = 6.396e-10 rroots = 5

skew: 312269.16

type: gnfs
rlim: 2600000
alim: 2600000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 965219 hash collisions in 8298805 relations (7695728 unique)
Msieve: matrix is 314110 x 314335 (109.3 MB)

Sieving start time : 2022/12/07 07:56:15
Sieving end time  : 2022/12/07 08:23:12

Total sieving time: 0hrs 26min 57secs.

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

Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2600000,2600000,26,26,49,49,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

19985949682083338821775451503570633481716236581057644871725858535316454921826058662427896886067094817109020074121401389157671879<128>

668722257370078622947076847207866471310846581999838010107321259<63>
29886772066901436138267200437084544996895259400257383443240836181<65>

Number: 1
N=19985949682083338821775451503570633481716236581057644871725858535316454921826058662427896886067094817109020074121401389157671879
  ( 128 digits)
Divisors found:
 r1=668722257370078622947076847207866471310846581999838010107321259 (pp63)
 r2=29886772066901436138267200437084544996895259400257383443240836181 (pp65)
Version: Msieve v. 1.52 (SVN 927)
Total time: 79.44 hours.
Scaled time: 618.68 units (timescale=7.788).
Factorization parameters were as follows:
name: 1
n: 19985949682083338821775451503570633481716236581057644871725858535316454921826058662427896886067094817109020074121401389157671879
skew: 303552.04
# norm 6.60e+017
c5: 41040
c4: 31371126250
c3: -10591598020422887
c2: -2433859071378841849931
c1: 382221833922228821582048691
c0: 27912915018251282687809675357845
# alpha -6.14
Y1: 79408202532527
Y0: -3447481610208857889468244
# Murphy_E 9.56e-011
# M 17631426726432527155337967036774690603181893622532938538298716228185619908827489778087283926759911756005582246431351734722090970
type: gnfs
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [3200000, 8100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1337716 x 1337949
Total sieving time: 78.81 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
gnfs,127,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6400000,6400000,28,28,55,55,2.5,2.5,100000
total time: 79.44 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

348503265574758670745755609296289100393942539691138570505774619435099041372018605883416195033979997156298926163188471959598438297585383958068616804417345854895067<162>

12636814129862407109821891076717891961255277380936694937303483<62>
27578411931469412548044570231430734451971310353781225959116271010066805395899663058939721538950986849<101>

Number: n
N=348503265574758670745755609296289100393942539691138570505774619435099041372018605883416195033979997156298926163188471959598438297585383958068616804417345854895067  ( 162 digits)
SNFS difficulty: 186 digits.
Divisors found:

Wed Dec  7 17:09:58 2022  p62 factor: 12636814129862407109821891076717891961255277380936694937303483
Wed Dec  7 17:09:58 2022  p101 factor: 27578411931469412548044570231430734451971310353781225959116271010066805395899663058939721538950986849
Wed Dec  7 17:09:58 2022  elapsed time 00:37:56 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.339).
Factorization parameters were as follows:
#
# N = 71x10^185-44 = 78(184)4
#
n: 348503265574758670745755609296289100393942539691138570505774619435099041372018605883416195033979997156298926163188471959598438297585383958068616804417345854895067
m: 10000000000000000000000000000000000000
deg: 5
c5: 71
c0: -44
skew: 0.91
# Murphy_E = 4.433e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 17350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1425954 hash collisions in 12182795 relations (11451437 unique)
Msieve: matrix is 1326177 x 1326402 (461.4 MB)

Sieving start time : 2022/12/07 12:54:59
Sieving end time  : 2022/12/07 16:31:39

Total sieving time: 3hrs 36min 40secs.

Total relation processing time: 0hrs 31min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 10sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9100000,9100000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

53808725251563268844419403098591993499963762393367455999902528802082262721575739579635441195843384619999535605294326887364705059441280053561586823529063923724310622243305870091<176>

127095749619400502806752982812258018283<39>
3186437786643648250647912499427885392201501016781917<52>
132866725837769951303184176320968283258090374319514136891427740758664077453390146413781<87>

Number: n
N=53808725251563268844419403098591993499963762393367455999902528802082262721575739579635441195843384619999535605294326887364705059441280053561586823529063923724310622243305870091  ( 176 digits)
SNFS difficulty: 190 digits.
Divisors found:

Fri Dec  9 07:36:19 2022  found factor: 3186437786643648250647912499427885392201501016781917
Fri Dec  9 07:38:26 2022  p39 factor: 127095749619400502806752982812258018283
Fri Dec  9 07:38:26 2022  p52 factor: 3186437786643648250647912499427885392201501016781917
Fri Dec  9 07:38:26 2022  p87 factor: 132866725837769951303184176320968283258090374319514136891427740758664077453390146413781
Fri Dec  9 07:38:26 2022  elapsed time 00:58:25 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 71x10^189-44 = 78(188)4
#
n: 53808725251563268844419403098591993499963762393367455999902528802082262721575739579635441195843384619999535605294326887364705059441280053561586823529063923724310622243305870091
m: 50000000000000000000000000000000000000
deg: 5
c5: 284
c0: -55
skew: 0.72
# Murphy_E = 3.01e-11
type: snfs
lss: 1
rlim: 10700000
alim: 10700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 10700000/10700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 18150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1480787 hash collisions in 12023892 relations (11208034 unique)
Msieve: matrix is 1558581 x 1558806 (546.2 MB)

Sieving start time : 2022/12/09 02:00:02
Sieving end time  : 2022/12/09 06:39:41

Total sieving time: 4hrs 39min 39secs.

Total relation processing time: 0hrs 46min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 28sec.

Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10700000,10700000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

41002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541<188>

19969129127677537330478135154100608023037823<44>
2053296402681417624029038874021154501969391359498696676238220156866919613462113056817355719932971454184091484109147942252165781872029711885270867<145>

Number: n
N=41002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541  ( 188 digits)
SNFS difficulty: 191 digits.
Divisors found:

Sat Dec 10 05:58:42 2022  p44 factor: 19969129127677537330478135154100608023037823
Sat Dec 10 05:58:42 2022  p145 factor: 2053296402681417624029038874021154501969391359498696676238220156866919613462113056817355719932971454184091484109147942252165781872029711885270867
Sat Dec 10 05:58:42 2022  elapsed time 01:05:06 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 71x10^190-44 = 78(189)4
#
n: 41002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541002541
m: 100000000000000000000000000000000000000
deg: 5
c5: 71
c0: -44
skew: 0.91
# Murphy_E = 2.763e-11
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 18300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1559633 hash collisions in 12096566 relations (11188644 unique)
Msieve: matrix is 1655653 x 1655879 (577.8 MB)

Sieving start time : 2022/12/09 23:43:40
Sieving end time  : 2022/12/10 04:53:16

Total sieving time: 5hrs 9min 36secs.

Total relation processing time: 0hrs 52min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 31sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,11000000,11000000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

126415668534840977279294089209293852046377671189783676795802230627617828127536103068581888972002739694612506063500833738041522882197476088031171041396608969131145466260512709190333638369<186>

384799159529224766697600915738369384105986751438849321582289521907<66>
328523764681559671914662703931603733162981168633184498536836075148159495656254887566201177238970294400014124209810235867<120>

Number: n
N=126415668534840977279294089209293852046377671189783676795802230627617828127536103068581888972002739694612506063500833738041522882197476088031171041396608969131145466260512709190333638369  ( 186 digits)
SNFS difficulty: 192 digits.
Divisors found:

Sat Dec 10 13:48:34 2022  p66 factor: 384799159529224766697600915738369384105986751438849321582289521907
Sat Dec 10 13:48:34 2022  p120 factor: 328523764681559671914662703931603733162981168633184498536836075148159495656254887566201177238970294400014124209810235867
Sat Dec 10 13:48:34 2022  elapsed time 01:02:49 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 71x10^191-44 = 78(190)4
#
n: 126415668534840977279294089209293852046377671189783676795802230627617828127536103068581888972002739694612506063500833738041522882197476088031171041396608969131145466260512709190333638369
m: 100000000000000000000000000000000000000
deg: 5
c5: 355
c0: -22
skew: 0.57
# Murphy_E = 2.621e-11
type: snfs
lss: 1
rlim: 11300000
alim: 11300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 11300000/11300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 18450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1581389 hash collisions in 12236720 relations (11313514 unique)
Msieve: matrix is 1618873 x 1619098 (565.4 MB)

Sieving start time : 2022/12/10 07:24:56
Sieving end time  : 2022/12/10 12:45:21

Total sieving time: 5hrs 20min 25secs.

Total relation processing time: 0hrs 50min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 38sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11300000,11300000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

4123783522629019428288917512717135157995517826461271010833661719892743203429994970561504923045366971154229127877524335800443189672534115332444958611523941684236367085580144963769<178>

409264071257797280165778301913125364513<39>

10076094659263235522176904526202542678329180948071715462022208027490895480748138074573601412925182400227869909005274365791270881798990082713<140>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2078405548
Step 1 took 9366ms
Step 2 took 2428ms
********** Factor found in step 2: 409264071257797280165778301913125364513
Found prime factor of 39 digits: 409264071257797280165778301913125364513
Composite cofactor 10076094659263235522176904526202542678329180948071715462022208027490895480748138074573601412925182400227869909005274365791270881798990082713 has 140 digits

10076094659263235522176904526202542678329180948071715462022208027490895480748138074573601412925182400227869909005274365791270881798990082713<140>

78639604015713390676759948538020474541407<41>
128130027934142170093119532763642073457524784914854977124548034701165168384474992794528336445457159<99>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3791204418
Step 1 took 5671ms
Step 2 took 2641ms
********** Factor found in step 2: 78639604015713390676759948538020474541407
Found prime factor of 41 digits: 78639604015713390676759948538020474541407
Prime cofactor 128130027934142170093119532763642073457524784914854977124548034701165168384474992794528336445457159 has 99 digits
 

GMP-ECM

5989135202618348685764416101494753180146438573404865539697000371157674528461045314977899247562168910483517225090258798123966663292505989135202618348685764416101494753180146438573404865539697<190>

10246331187565892991430662679848995779510863853662612205092645635012339260544248813037<86>
584515090619584097637984613191280533788648630179530274561102722234681530660745210841399700528265059740181<105>

Number: n
N=5989135202618348685764416101494753180146438573404865539697000371157674528461045314977899247562168910483517225090258798123966663292505989135202618348685764416101494753180146438573404865539697  ( 190 digits)
SNFS difficulty: 194 digits.
Divisors found:

Tue Dec 13 08:21:07 2022  p86 factor: 10246331187565892991430662679848995779510863853662612205092645635012339260544248813037
Tue Dec 13 08:21:07 2022  p105 factor: 584515090619584097637984613191280533788648630179530274561102722234681530660745210841399700528265059740181
Tue Dec 13 08:21:07 2022  elapsed time 01:20:24 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.310).
Factorization parameters were as follows:
#
# N = 71x10^193-44 = 78(192)4
#
n: 5989135202618348685764416101494753180146438573404865539697000371157674528461045314977899247562168910483517225090258798123966663292505989135202618348685764416101494753180146438573404865539697
m: 100000000000000000000000000000000000000
deg: 5
c5: 17750
c0: -11
skew: 0.23
# Murphy_E = 1.923e-11
type: snfs
lss: 1
rlim: 12100000
alim: 12100000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 12100000/12100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 26050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1836009 hash collisions in 13282794 relations (12129941 unique)
Msieve: matrix is 1895522 x 1895747 (664.8 MB)

Sieving start time : 2022/12/13 00:15:40
Sieving end time  : 2022/12/13 07:00:21

Total sieving time: 6hrs 44min 41secs.

Total relation processing time: 1hrs 9min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 27sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12100000,12100000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

12940909077920239109104813623772393392153285953365894904852100345205373213966983992203765833949671778158965535856892893881147091574019024562757792372292920713204231507<167>

207353933727778665469425587086712249465239266992863<51>
62409759223133461516857594502174783960015503936632208822417472760834940233084871143398103487912443380642768744830989<116>

Number: n
N=12940909077920239109104813623772393392153285953365894904852100345205373213966983992203765833949671778158965535856892893881147091574019024562757792372292920713204231507  ( 167 digits)
SNFS difficulty: 196 digits.
Divisors found:

Wed Feb 22 08:07:29 2023  prp51 factor: 207353933727778665469425587086712249465239266992863
Wed Feb 22 08:07:29 2023  prp116 factor: 62409759223133461516857594502174783960015503936632208822417472760834940233084871143398103487912443380642768744830989
Wed Feb 22 08:07:29 2023  elapsed time 02:13:38 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.098).
Factorization parameters were as follows:
#
# N = 71x10^195-44 = 78(194)4
#
n: 12940909077920239109104813623772393392153285953365894904852100345205373213966983992203765833949671778158965535856892893881147091574019024562757792372292920713204231507
m: 1000000000000000000000000000000000000000
deg: 5
c5: 71
c0: -44
skew: 0.91
# Murphy_E = 1.715e-11
type: snfs
lss: 1
rlim: 12600000
alim: 12600000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 12600000/12600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 31941211)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1999082 hash collisions in 14129939 relations (12850392 unique)
Msieve: matrix is 2097342 x 2097568 (594.4 MB)

Sieving start time: 2023/02/21 16:26:33
Sieving end time  : 2023/02/22 05:53:33

Total sieving time: 13hrs 27min 0secs.

Total relation processing time: 2hrs 7min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 34sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,12600000,12600000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

68143333190558562105430584955833699913555246077163569932893124322815972184194215551393450853151442282300980944683269518240922389214851030601860492091<149>

2296986577229226018817523824761299590818872933<46>
29666404612933116971966572657050508091940564613263745681989966371358413276263603534166560821262547671327<104>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 68143333190558562105430584955833699913555246077163569932893124322815972184194215551393450853151442282300980944683269518240922389214851030601860492091 (149 digits)
Using B1=15590000, B2=46847878360, polynomial Dickson(12), sigma=1:894809311
Step 1 took 29947ms
Step 2 took 12458ms
********** Factor found in step 2: 2296986577229226018817523824761299590818872933
Found prime factor of 46 digits: 2296986577229226018817523824761299590818872933
Prime cofactor 29666404612933116971966572657050508091940564613263745681989966371358413276263603534166560821262547671327 has 104 digits

39309304793722127653004053845914053432196354478415406126829698458280849791864085331232126752559650240626107019921578964514970794040269926317175238282812922906179742790971531799959825358994723<191>

527440860178672650616043544289820803<36>

74528364716389145852385400659370702286238633808330606698079439789995462240376735318327625119295762825125615330815176598844639076417293708068165172362620641<155>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3914341928
Step 1 took 9328ms
Step 2 took 4617ms
********** Factor found in step 2: 527440860178672650616043544289820803
Found prime factor of 36 digits: 527440860178672650616043544289820803
Composite cofactor 74528364716389145852385400659370702286238633808330606698079439789995462240376735318327625119295762825125615330815176598844639076417293708068165172362620641 has 155 digits

74528364716389145852385400659370702286238633808330606698079439789995462240376735318327625119295762825125615330815176598844639076417293708068165172362620641<155>

43782702400374646311688397720874143<35>
1702233088192185471499361979427236454526929667662819049469030121433582120635087489865630705183174792793011099012549391487<121>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1680027113
Step 1 took 8883ms
Step 2 took 4185ms
********** Factor found in step 2: 43782702400374646311688397720874143
Found prime factor of 35 digits: 43782702400374646311688397720874143
Prime cofactor 1702233088192185471499361979427236454526929667662819049469030121433582120635087489865630705183174792793011099012549391487 has 121 digits

197139794427514115259449367288543162547890481234234125717595108732534395756394822740829622882587187079408001843485966716414341464990208495687723887254591<153>

48772352496614283728140310532299887773389401844633<50>
576930063987320861727221771392748330901275694284317<51>
7006117629335205639725604227885729722737103166168131<52>

Number: n
N=4042039892195056933002363512724230578750914758034608502024578662954556632946344202688454548603338501527  ( 103 digits)
Divisors found:

Mon Jun  5 22:29:45 2023  prp51 factor: 576930063987320861727221771392748330901275694284317
Mon Jun  5 22:29:45 2023  prp52 factor: 7006117629335205639725604227885729722737103166168131
Mon Jun  5 22:29:45 2023  elapsed time 00:03:12 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.099).
Factorization parameters were as follows:
#
# 71x10^200-44 = 78(199)4
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
# Input number is 197139794427514115259449367288543162547890481234234125717595108732534395756394822740829622882587187079408001843485966716414341464990208495687723887254591 (153 digits)
# Using B1=52160000, B2=288593765476, polynomial Dickson(12), sigma=1:1776391512
# Step 1 took 96441ms
# Step 2 took 31962ms
# ********** Factor found in step 2: 48772352496614283728140310532299887773389401844633
# Found prime factor of 50 digits: 48772352496614283728140310532299887773389401844633
# Composite cofactor 4042039892195056933002363512724230578750914758034608502024578662954556632946344202688454548603338501527 has 103 digits
#

n: 4042039892195056933002363512724230578750914758034608502024578662954556632946344202688454548603338501527

Y0: -4808599828794487141879028
Y1: 20867577742573
c0: 23956493731765104105257156355
c1: -22537354590461667030347
c2: -47677088882127451
c3: 17061742395
c4: 7560

# skew 1802850.69, size 4.431e-14, alpha -5.783, combined = 8.557e-09 rroots = 4

skew: 1802850.69

type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 5150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 603189 hash collisions in 7924553 relations (7869171 unique)
Msieve: matrix is 223983 x 224210 (62.8 MB)

Sieving start time: 2023/06/05 22:08:35
Sieving end time  : 2023/06/05 22:26:24

Total sieving time: 0hrs 17min 49secs.

Total relation processing time: 0hrs 1min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 24sec.

Prototype def-par.txt line would be:
gnfs,102,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

3830448090933167379513752706970806743354835508427160708849042854610971760158002084553969839076869156498054605224589677373359936698642035601097195557450576387769<160>

459382496919499165905931243843367284997206218758585254693749028290375904843<75>
8338254323182025386174825239513752626934785223463357649795087495919939307916359660683<85>

Number: n
N=3830448090933167379513752706970806743354835508427160708849042854610971760158002084553969839076869156498054605224589677373359936698642035601097195557450576387769  ( 160 digits)
SNFS difficulty: 204 digits.
Divisors found:

Sat Oct 28 10:20:04 2023  prp75 factor: 459382496919499165905931243843367284997206218758585254693749028290375904843
Sat Oct 28 10:20:04 2023  prp85 factor: 8338254323182025386174825239513752626934785223463357649795087495919939307916359660683
Sat Oct 28 10:20:04 2023  elapsed time 02:29:00 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.101).
Factorization parameters were as follows:
#
# N = 71x10^203-44 = 78(202)4
#
n: 3830448090933167379513752706970806743354835508427160708849042854610971760158002084553969839076869156498054605224589677373359936698642035601097195557450576387769
m: 5000000000000000000000000000000000
deg: 6
c6: 568
c0: -55
skew: 0.68
# Murphy_E = 8.38e-12
type: snfs
lss: 1
rlim: 18200000
alim: 18200000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18200000/18200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3563873 hash collisions in 20204730 relations (17324709 unique)
Msieve: matrix is 2209992 x 2210218 (625.6 MB)

Sieving start time: 2023/10/27 10:35:45
Sieving end time  : 2023/10/28 07:50:40

Total sieving time: 21hrs 14min 55secs.

Total relation processing time: 2hrs 20min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 25sec.

Prototype def-par.txt line would be:
snfs,204,6,0,0,0,0,0,0,0,0,18200000,18200000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

16034327009936766034327009936766034327009936766034327009936766034327009936766034327009936766034327009936766034327009936766034327009936766034327009936766034327009936766034327009936766034327009936766034327<203>

1308224187655383972042980057118363520313416292189<49>
2662573215769895087469316741528277248932428780574267401502261563<64>
4603275876107193300222623817146051159656298374814705581571063839419941798378680782307945561<91>

Number: n
N=16034327009936766034327009936766034327009936766034327009936766034327009936766034327009936766034327009936766034327009936766034327009936766034327009936766034327009936766034327009936766034327009936766034327  ( 203 digits)
SNFS difficulty: 205 digits.
Divisors found:

Tue Dec 12 11:19:11 2023  prp49 factor: 1308224187655383972042980057118363520313416292189
Tue Dec 12 11:19:11 2023  prp64 factor: 2662573215769895087469316741528277248932428780574267401502261563
Tue Dec 12 11:19:11 2023  prp91 factor: 4603275876107193300222623817146051159656298374814705581571063839419941798378680782307945561
Tue Dec 12 11:19:11 2023  elapsed time 03:22:51 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
#
# N = 71x10^204-44 = 78(203)4
#
n: 16034327009936766034327009936766034327009936766034327009936766034327009936766034327009936766034327009936766034327009936766034327009936766034327009936766034327009936766034327009936766034327009936766034327
m: 50000000000000000000000000000000000000000
deg: 5
c5: 284
c0: -55
skew: 0.72
# Murphy_E = 7.129e-12
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 56650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3923417 hash collisions in 20465806 relations (16843959 unique)
Msieve: matrix is 2472731 x 2472956 (697.3 MB)

Sieving start time: 2023/12/11 07:39:49
Sieving end time  : 2023/12/12 07:55:53

Total sieving time: 24hrs 16min 4secs.

Total relation processing time: 3hrs 11min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 47sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18900000,18900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

4782426474071296150958974040497598631547080005365912656864277450075975317600071147522642939492336526924152956510699730614594203674160671312265859<145>

11627436923136118674667115554931899493<38>
767859782202927083504870619374210779883165174803<48>
535651577488198409452166427695664757947209060250682405754621<60>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:110044107
Step 1 took 4411ms
Step 2 took 2353ms
********** Factor found in step 2: 11627436923136118674667115554931899493
Found prime factor of 38 digits: 11627436923136118674667115554931899493
Composite cofactor 411305303626742350649150566448719455317675502003894680082124678060161344416287037861709093138075428590014663 has 108 digits
------

N=411305303626742350649150566448719455317675502003894680082124678060161344416287037861709093138075428590014663
  ( 108 digits)
Divisors found:
 r1=767859782202927083504870619374210779883165174803 (pp48)
 r2=535651577488198409452166427695664757947209060250682405754621 (pp60)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.09 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 411305303626742350649150566448719455317675502003894680082124678060161344416287037861709093138075428590014663
skew: 2085647.49
c0: 148109704022822407388872497063
c1: -280153713377651463949268
c2: -33785054719121033
c3: 154736829238
c4: 16800
Y0: -70341607424644047668569880
Y1: 103296242181169
rlim: 2920000
alim: 2920000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 2920000/2920000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1460000, 2310001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 333731 x 333957
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,107,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2920000,2920000,26,26,52,52,2.5,2.5,150000
total time: 0.09 hours.
 --------- CPU info (if available) ----------

441889003842430553514672799617449150263725939098989477985103902347887723113490397333119510079589757193219619020774793755544511100944899734828696037575692086483127200616082004984604113<183>

22823000717434201836731303908943616783457<41>
95992069032286982764824153381939037882865212910145012689<56>
201699628341905114665870340393488074810847852958369934961203483230044149119008226750881<87>

GMP-ECM:

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 441889003842430553514672799617449150263725939098989477985103902347887723113490397333119510079589757193219619020774793755544511100944899734828696037575692086483127200616082004984604113 (183 digits)
Using B1=54480000, B2=288595837546, polynomial Dickson(12), sigma=1:761807812
Step 1 took 148782ms
Step 2 took 45905ms
********** Factor found in step 2: 22823000717434201836731303908943616783457
Found prime factor of 41 digits: 22823000717434201836731303908943616783457
/home/bob 06:52:51 > cat log-64r

GMP-ECM:

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 441889003842430553514672799617449150263725939098989477985103902347887723113490397333119510079589757193219619020774793755544511100944899734828696037575692086483127200616082004984604113 (183 digits)
Using B1=54480000, B2=288595837546, polynomial Dickson(12), sigma=1:761807812
Step 1 took 148782ms
Step 2 took 45905ms
********** Factor found in step 2: 22823000717434201836731303908943616783457
Found prime factor of 41 digits: 22823000717434201836731303908943616783457
Composite cofactor 19361564647582783782405665427079421843469384098415675407063016493696877816479822890077260695819623978966924797534470187707575959047976986929009 has 143 digits
===

CADO-NFS:

STA:Thu Sep 5 06:56:27 AM AEST 2024 (19361564647582783782405665427079421843469384098415675407063016493696877816479822890077260695819623978966924797534470187707575959047976986929009 - C143)

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors 19361564647582783782405665427079421843469384098415675407063016493696877816479822890077260695819623978966924797534470187707575959047976986929009 2>&1 | tee -a log-64

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py:93: DeprecationWarning: 'locale.getdefaultlocale' is deprecated and slated for removal in Python 3.15. Use setlocale(), getencoding() and getlocale() instead.
  loc = locale.getdefaultlocale()[1]
Info:root: Using default parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c143
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.sdy9wwil
Info:Database: Opened connection to database /tmp/cado.sdy9wwil/c143.db
Info:root: Set tasks.threads=18 based on --server-threads 18
Info:root: tasks.threads = 18 [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 = 18 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Downloads/Math/cado-nfs/build/VM9
Info:root: Command line parameters: /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors 19361564647582783782405665427079421843469384098415675407063016493696877816479822890077260695819623978966924797534470187707575959047976986929009
Info:root: If this computation gets interrupted, it can be resumed with /home/bob/Downloads/Math/cado-nfs/cado-nfs.py /tmp/cado.sdy9wwil/c143.parameters_snapshot.0
Info:Server Launcher: Adding VM9 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,VM9
Info:Lattice Sieving: param rels_wanted is 78000000
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 19361564647582783782405665427079421843469384098415675407063016493696877816479822890077260695819623978966924797534470187707575959047976986929009
skew: 79593.14
c0: -26437782629931659875754310006900
c1: 199699520730695942671101004
c2: 31658190546365280485589
c3: 42185686805601227
c4: -2510533353210 
c5: 2394000
Y0: 1633858059974233757699673251
Y1: 28902096583689248562389
# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=1.476e+14) = 7.429e-07
# f(x) = 2394000*x^5-2510533353210*x^4+42185686805601227*x^3+31658190546365280485589*x^2+199699520730695942671101004*x-26437782629931659875754310006900
# g(x) = 28902096583689248562389*x+1633858059974233757699673251
Info:Polynomial Selection (root optimized): Best overall polynomial was 7-th in list after size optimization
===
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 201699628341905114665870340393488074810847852958369934961203483230044149119008226750881 95992069032286982764824153381939037882865212910145012689
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2442.16/293.92 
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 327.75/286.906
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 286.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3305.84
Info:Polynomial Selection (root optimized): Rootsieve time: 3305.25
Info:Filtering - Merging: Total cpu/real time for merge: 186.64/30.2445
Info:Filtering - Merging: Total cpu/real time for replay: 35.32/31.0391
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 900.39/573.416
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 480.3s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 103388
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 71369/43.290/53.308/64.560/2.518
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 60961/41.260/46.242/59.910/1.457
Info:Polynomial Selection (size optimized): Total time: 26613.2
Info:Generate Free Relations: Total cpu/real time for freerel: 440.47/54.6367
Info:Lattice Sieving: Aggregate statistics: 
Info:Lattice Sieving: Total number of relations: 78028815
Info:Lattice Sieving: Average J: 7295.74 for 674742 special-q, max bucket fill -bkmult 1.0,1s:1.150810
Info:Lattice Sieving: Total time: 670515s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 357.89/233.752
Info:Square Root: Total cpu/real time for sqrt: 2442.16/293.92
Info:Generate Factor Base: Total cpu/real time for makefb: 5.19/0.93245
Info:Quadratic Characters: Total cpu/real time for characters: 58.88/15.752
Info:Linear Algebra: Total cpu/real time for bwc: 40517.3/5460.38
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 23832.68, WCT time 3170.17, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (64000 iterations)
Info:Linear Algebra: Lingen CPU time 74.49, WCT time 75.69
Info:Linear Algebra: Mksol: CPU time 13440.98,  WCT time 1812.02, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (32000 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 714449/85578.3 [23:46:18]
Info:root: Cleaning up computation data in /tmp/cado.sdy9wwil
201699628341905114665870340393488074810847852958369934961203483230044149119008226750881 95992069032286982764824153381939037882865212910145012689

END:Fri Sep 6 06:42:47 AM AEST 2024 (19361564647582783782405665427079421843469384098415675407063016493696877816479822890077260695819623978966924797534470187707575959047976986929009 - C143)

ECM and CADO

1127899788257943018210396418522295341264889857853299660028128105040601945946759304666492518939359640264654981459646824265975367672614117199158323687248397726212487030026160221742429538209803937529297197<202>

879106127685993668237590094809017162027779<42>
1283007537698355696988815587965757848026808663521016264157114789861834719799023918168599773848883544727836375848218143440625375021723076175855060174097075811343<160>

10/27/24 17:40:46 v1.34.5 @ RYZEN-9,
10/27/24 17:40:46 v1.34.5 @ RYZEN-9, ****************************
10/27/24 17:40:46 v1.34.5 @ RYZEN-9, Starting factorization of 709999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999956
10/27/24 17:40:46 v1.34.5 @ RYZEN-9, using pretesting plan: normal
10/27/24 17:40:46 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
10/27/24 17:40:46 v1.34.5 @ RYZEN-9, ****************************
10/27/24 17:40:46 v1.34.5 @ RYZEN-9, div: found prime factor = 2
10/27/24 17:40:46 v1.34.5 @ RYZEN-9, div: found prime factor = 2
10/27/24 17:40:46 v1.34.5 @ RYZEN-9, div: found prime factor = 3
10/27/24 17:40:46 v1.34.5 @ RYZEN-9, div: found prime factor = 3
10/27/24 17:40:46 v1.34.5 @ RYZEN-9, div: found prime factor = 13
10/27/24 17:40:46 v1.34.5 @ RYZEN-9, div: found prime factor = 37
10/27/24 17:40:46 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C206
10/27/24 17:40:46 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C206
10/27/24 17:40:46 v1.34.5 @ RYZEN-9, prp5 = 36353
10/27/24 17:40:46 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C202
10/27/24 17:40:46 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C202
10/27/24 17:40:46 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C202
10/27/24 17:40:46 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
10/27/24 17:40:46 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 62.15
10/27/24 17:40:46 v1.34.5 @ RYZEN-9, Finished 30 curves using Lenstra ECM method on C202 input, B1=2K, B2=gmp-ecm default
10/27/24 17:40:46 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18
10/27/24 17:40:46 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 62.15
10/27/24 17:40:49 v1.34.5 @ RYZEN-9, Finished 74 curves using Lenstra ECM method on C202 input, B1=11K, B2=gmp-ecm default
10/27/24 17:40:49 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24
10/27/24 17:40:49 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 62.15
10/27/24 17:41:23 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c210: 709999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999956
10/27/24 17:41:23 v1.34.5 @ RYZEN-9, nfs: input divides 71*10^208 - 44
10/27/24 17:41:23 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 1127899788257943018210396418522295341264889857853299660028128105040601945946759304666492518939359640264654981459646824265975367672614117199158323687248397726212487030026160221742429538209803937529297197
10/27/24 17:41:23 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c202: 1127899788257943018210396418522295341264889857853299660028128105040601945946759304666492518939359640264654981459646824265975367672614117199158323687248397726212487030026160221742429538209803937529297197
10/27/24 17:41:23 v1.34.5 @ RYZEN-9, gen: best 3 polynomials:
n: 1127899788257943018210396418522295341264889857853299660028128105040601945946759304666492518939359640264654981459646824265975367672614117199158323687248397726212487030026160221742429538209803937529297197
# 71*10^208-44, difficulty: 212.85, anorm: -2.15e+027, rnorm: 2.09e+047
# scaled difficulty: 216.18, suggest sieving rational side
# size = 8.779e-015, alpha = 0.230, combined = 4.523e-012, rroots = 1
type: snfs
size: 212
skew: 0.2283
c5: 17750
c0: -11
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 1127899788257943018210396418522295341264889857853299660028128105040601945946759304666492518939359640264654981459646824265975367672614117199158323687248397726212487030026160221742429538209803937529297197
# 71*10^208-44, difficulty: 211.25, anorm: -2.81e+024, rnorm: 4.68e+047
# scaled difficulty: 215.12, suggest sieving rational side
# size = 8.028e-015, alpha = 0.499, combined = 4.216e-012, rroots = 1
type: snfs
size: 211
skew: 1.1413
c5: 142
c0: -275
Y1: -1
Y0: 500000000000000000000000000000000000000000
m: 500000000000000000000000000000000000000000
n: 1127899788257943018210396418522295341264889857853299660028128105040601945946759304666492518939359640264654981459646824265975367672614117199158323687248397726212487030026160221742429538209803937529297197
# 71*10^208-44, difficulty: 211.25, anorm: 3.29e+032, rnorm: 5.01e+040
# scaled difficulty: 212.61, suggest sieving rational side
# size = 1.253e-010, alpha = -0.552, combined = 3.924e-012, rroots = 2
type: snfs
size: 211
skew: 0.9946
c6: 284
c0: -275
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
10/27/24 17:41:25 v1.34.5 @ RYZEN-9, test: fb generation took 1.9532 seconds
10/27/24 17:41:25 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 23800000-23802000
skew: 0.2283
c5: 17750
c0: -11
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 23800000
alim: 23800000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
10/27/24 17:44:52 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/27/24 17:44:53 v1.34.5 @ RYZEN-9, test: fb generation took 1.8126 seconds
10/27/24 17:44:53 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the rational side over range 22600000-22602000
skew: 1.1413
c5: 142
c0: -275
Y1: -1
Y0: 500000000000000000000000000000000000000000
m: 500000000000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
10/27/24 17:48:09 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/27/24 17:48:12 v1.34.5 @ RYZEN-9, test: fb generation took 2.6563 seconds
10/27/24 17:48:12 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the rational side over range 22600000-22602000
skew: 0.9946
c6: 284
c0: -275
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
10/27/24 17:51:23 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/27/24 17:51:23 v1.34.5 @ RYZEN-9, gen: selected polynomial:
n: 1127899788257943018210396418522295341264889857853299660028128105040601945946759304666492518939359640264654981459646824265975367672614117199158323687248397726212487030026160221742429538209803937529297197
# 71*10^208-44, difficulty: 212.85, anorm: -2.15e+027, rnorm: 2.09e+047
# scaled difficulty: 216.18, suggest sieving rational side
# size = 8.779e-015, alpha = 0.230, combined = 4.523e-012, rroots = 1
type: snfs
size: 212
skew: 0.2283
c5: 17750
c0: -11
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
10/29/24 08:53:07 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/29/24 09:00:12 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra
10/29/24 16:18:12 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt
10/29/24 16:44:41 v1.34.5 @ RYZEN-9, prp160 = 1283007537698355696988815587965757848026808663521016264157114789861834719799023918168599773848883544727836375848218143440625375021723076175855060174097075811343
10/29/24 16:44:41 v1.34.5 @ RYZEN-9, prp42 = 879106127685993668237590094809017162027779
10/29/24 16:44:42 v1.34.5 @ RYZEN-9, NFS elapsed time = 169398.5778 seconds.
10/29/24 16:44:42 v1.34.5 @ RYZEN-9,
10/29/24 16:44:42 v1.34.5 @ RYZEN-9,
10/27/24 17:51:23 v1.34.5 @ RYZEN-9, test: test sieving took 600.33 seconds

YAFU

185017138665647760869844786235930786637490251429969600638951517358139675299081593646269744997200275700023718564389000766083471391806563970005386679496625124653777571231823118809<177>

9120938418710526034103457572890108504948607338142728846210447577438877668791069994102352956524711206323907103870783913356936384613222961743<139>

927256748235001861547496381234462701<36>
9836475642880881948523543228059152086737176234715352736811959017767727571083211292594409820072511945643<103>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:612790680
Step 1 took 5735ms
Step 2 took 2672ms
********** Factor found in step 2: 927256748235001861547496381234462701
Found prime factor of 36 digits: 927256748235001861547496381234462701
Prime cofactor 9836475642880881948523543228059152086737176234715352736811959017767727571083211292594409820072511945643 has 103 digits

GMP-ECM

2057303616093695613430262656921624814599444330872723453781984244064321874014552348207628582738700895359824666218038966047503056517291158219783145417060888415710557<163>

20512210360300221917121247863447143260610870101554966480952385617608739678529613595675466450592794647371521393763630732931979890049963049510534676268328053401346264830232593157136541313102987969731585123<203>

3209969654292220258412992320755433429218477393976867278154317636059794734142937511257934185538457747934656904926381486373652152296235111894719343527097459426336700085862943835735882015590182365833877221<202>

1969838717374199440898734753170885450826721888736850632956345044718113305123023363951840495223002389331131553043040143648407648966972185877310676303894509865285227097434326686931035669062656407968580240131662910101<214>

627795208702324914458880001562791774793<39>

3137709065104090743796585143394725748443208429243901040320377571556894278562715651923261600390257561687061387348610742571961516929580214855249083032174125199252550185039013357<175>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:11169720250774054047
Step 1 took 28766ms
Step 2 took 10375ms
********** Factor found in step 2: 627795208702324914458880001562791774793
Found prime factor of 39 digits: 627795208702324914458880001562791774793
Composite cofactor 3137709065104090743796585143394725748443208429243901040320377571556894278562715651923261600390257561687061387348610742571961516929580214855249083032174125199252550185039013357 has 175 digits

GMP-ECM 7.0.5

28338662608979748911421592156286779824381206877671635331309721663936230364630953205318997836752798900195523067905619827916598255114153895279633688258415837979144222047666208975388229999<185>

43858721636787191237694076348593728569898794422344202765277065765693198940576590148462411617945504612931995924611228767893890426011027628551<140>

15726303729334340759666505118093860803969839799<47>
2788876673860580000752657089553354450005447836439782921716943091002442092053390857303598201649<94>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:760777814
Step 1 took 81672ms
Step 2 took 27734ms
********** Factor found in step 2: 15726303729334340759666505118093860803969839799
Found prime factor of 47 digits: 15726303729334340759666505118093860803969839799
Prime cofactor 2788876673860580000752657089553354450005447836439782921716943091002442092053390857303598201649 has 94 digits
 

GMP-ECM

223782120619023557239763280069155118270746195669789263904256198009516067605519643591457748585134808689571494502413543414487025551364603950803424904257335413943045398457<168>

687185443283004258614014711575687185443283004258614014711575687185443283004258614014711575687185443283004258614014711575687185443283004258614014711575687185443283004258614014711575687185443283004258614014711575687185443283<222>

14061415672575189075854249096912300869<38>
48870288688162649632447340520262825886202027816718146373241297189434788028729595764795927716673082794555840293725750631015612516723176012451774917365622035652734628398312963224347018807<185>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:14696851658635258024
Step 1 took 33203ms
********** Factor found in step 1: 14061415672575189075854249096912300869
Found prime factor of 38 digits: 14061415672575189075854249096912300869
Prime cofactor 48870288688162649632447340520262825886202027816718146373241297189434788028729595764795927716673082794555840293725750631015612516723176012451774917365622035652734628398312963224347018807 has 185 digits

GMP-ECM 7.0.5

49035660202195494135793204707667915391549764107541116012943551004945551792075724136625505086788560444578917162838893460275596564069058387677310194520923759480856465989910758372750349<182>

28891987274110554585693195747765291521605792193700749821528988820829582422388035888150741829065257401385000814819966408669665210023691243562695072703316189831281282029<167>

47856821879416392662770015940500732263297934653248746198449541425148115515637304174266127769194555667742730676824068158251914050442060878137361804664306503019522806283053392494610580412658455622342109627387863310455615547789<224>

92776149275839100244577784678309851940036077514924903958391705731698285737302448792912894730154315176807033894786350964075978300575130621459396270171910981702159878564705625420247342950804057803774074216004872703<212>

448467394136836258557613143139353025842988151341896546027659830133108546776171983084761392911490206882112614317682541528467642950073626982623043956344151938145688040606355352839834325287167288826520596805980666048047160003<222>

21299263727084463538447077197962784311737307692497163238283137737218817387110792886047931125391312519126979893526073568800132214357068953233208544885933026123332449830089559369531<179>

25692398882499936609940339708490907372254326639802268552659874835687659047866194311198167113898010170686730128039162517806963628152998090078292652219595389239415852323044155734714251734995360565109389370129832540015447312668197<227>

102179635369257688646046935441144119690145893628451948786967493125601043360042189693524627041279728257082823030345678460165522135235588791360076289295943399004823210291<168>

832563131366393235859043108204562298987655033148117941915211482276511857383286280544722893435623350636836802187060257559650085874907070433480846738752818995570905536677993394274781242684500583<192>

16915850006225487471561108810056385816661205785315811073561276355265679258278952419595836462382918661551944481868212866295471470052167044967671<143>

115448891805148209652956029731101652941647<42>
146522411274208171996197861284948573580482951192036057340179193637501526936683471820408465297884293593<102>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:306649025
Step 1 took 5672ms
Step 2 took 2734ms
********** Factor found in step 2: 115448891805148209652956029731101652941647
Found prime factor of 42 digits: 115448891805148209652956029731101652941647
Prime cofactor 146522411274208171996197861284948573580482951192036057340179193637501526936683471820408465297884293593 has 102 digits

GMP-ECM

6251666887733169668179891405103982211631961553527816499050153907015847771761323775892298080959003008688641248728317321934477655938545728379421515137240789700037064657873601278551<178>

57121761485519433667225416556165348808073095539324854103174606228565206821140081042150846869762799853280258407325636163603581436402687893183352888133456487707528207463061729017695399979<185>

2984272003365876832980278235367132373879998324792781470580684022786777250148568030679565721898623149889243889311881283925970167464151824718127846848484290880693674124189735621798125495228695398554579136558550279908565221301033273279239<235>

309778086497874084186613304896492864759<39>

9633580080191879593175436631521416917890467507344857630624197131867627041852004043350698590858324258395901951925376669388352588043057826533359487547433853473301778465434695799795915177282374532721<196>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2977262734
Step 1 took 11609ms
Step 2 took 4719ms
********** Factor found in step 2: 309778086497874084186613304896492864759
Found prime factor of 39 digits: 309778086497874084186613304896492864759
Composite cofactor 9633580080191879593175436631521416917890467507344857630624197131867627041852004043350698590858324258395901951925376669388352588043057826533359487547433853473301778465434695799795915177282374532721 has 196 digits
 

GMP-ECM

1103366497448381718515084785251306968983433210654730075118889424683789064651015083152124749219845458696645079479287935121722115766929272071595517446991053444685605221134443280197763049595140394561687646895539882719972181<220>

1017147599835770906979828038819578130017424712043690818966206443303044589119449043844219999285051180038364841636260650892145670039660668354742223973174516801816899820507953667086083867399566061823244081096779605242999<217>

4672697111855603247852166985334846651520201<43>

217678906953985130067012534002562440690364735568559654713371668928849056151283801465896385731117664215642343121490528182106736848979883397477869647366796583089619725368123199<174>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:941105505
Step 1 took 6937ms
Step 2 took 3281ms
********** Factor found in step 2: 4672697111855603247852166985334846651520201
Found prime factor of 43 digits: 4672697111855603247852166985334846651520201
Composite cofactor 217678906953985130067012534002562440690364735568559654713371668928849056151283801465896385731117664215642343121490528182106736848979883397477869647366796583089619725368123199 has 174 digits
 

GMP-ECM

248276557839810455937604923761136257602285741746965845195280344983319029076701292595354172626439057765044314143598889147010780089274257650519004664140466911479852403789027558357864665281358550742739928226949782871407415957589<225>

330165476558539576522918290840262510870165941649009993062586691023423913011960646346124343582715781667908153466344450924575614905759968363939702539389878288466921040103336400107668412648630096166967<198>

44847286581134599320967118185774611934487702911677815756566678386397361958161962184004600688410954557360717604664937341422223138724525815341389543977315987655139706511911<170>

1926165790013767637600815650722983381913911260397<49>

23283191308684827582177484730003650896596254941422864771640339220024741394550925050285446427729720429489991523373822657763<122>

Resuming ECM residue saved by @2cf4fb82cfe3 with GMP-ECM 7.0.5-dev on Tue Jun 11 15:25:59 2024 
Input number is 44847286581134599320967118185774611934487702911677815756566678386397361958161962184004600688410954557360717604664937341422223138724525815341389543977315987655139706511911 (170 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:3805928657
Step 1 took 0ms
Step 2 took 22196ms
********** Factor found in step 2: 1926165790013767637600815650722983381913911260397
Found prime factor of 49 digits: 1926165790013767637600815650722983381913911260397
Composite cofactor 23283191308684827582177484730003650896596254941422864771640339220024741394550925050285446427729720429489991523373822657763 has 122 digits

23283191308684827582177484730003650896596254941422864771640339220024741394550925050285446427729720429489991523373822657763<122>

2099532897742076586945015037453886192897164998341<49>
11089700634709997775724265119654250659493509161002712000593684056115595143<74>

11089700634709997775724265119654250659493509161002712000593684056115595143 2099532897742076586945015037453886192897164998341

cado-nfs

ubuntu

19679604656619363594154421460291341442091640440312902114226394868923000714872715748630358310146685882375478681693529025580281259308195333264316440619527921962946810464755330561310770539979201179510740499841383<209>

293882501463582471288507172275877843389394199<45>

66964193371880748159879285352717898137013500107098566008864942163089381179963888114033995418701123471642911809002342564208477519643033799545439487793512156331860017<164>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 19679604656619363594154421460291341442091640440312902114226394868923000714872715748630358310146685882375478681693529025580281259308195333264316440619527921962946810464755330561310770539979201179510740499841383 (209 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3858703989
Step 1 took 10055ms
Step 2 took 4226ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1470635510
Step 1 took 9290ms
Step 2 took 4271ms
Run 3 out of 0:
...
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:902212775
Step 1 took 9318ms
Step 2 took 4212ms
Run 8 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:797218922
Step 1 took 9341ms
Step 2 took 4272ms
** Factor found in step 2: 293882501463582471288507172275877843389394199
Found prime factor of 45 digits: 293882501463582471288507172275877843389394199
Composite cofactor 66964193371880748159879285352717898137013500107098566008864942163089381179963888114033995418701123471642911809002342564208477519643033799545439487793512156331860017 has 164 digits

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

926674346509158350901296597398873231594150882990742458998718082007489123549804784084388465248652429840850652711357373597959764344546145653647022593869651408718642618780339<171>

1463512376868207408260025022081512719162244080075062691<55>
633185179131974957469348342202212913201886271729172487414813315983810709508970644669145902891452624787872980386705329<117>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1608515122
Step 1 took 6453ms
Step 2 took 3000ms
********** Factor found in step 2: 1463512376868207408260025022081512719162244080075062691
Found prime factor of 55 digits: 1463512376868207408260025022081512719162244080075062691
Prime cofactor 633185179131974957469348342202212913201886271729172487414813315983810709508970644669145902891452624787872980386705329 has 117 digits

GMP-ECM

33123148904497198933572614787846000347030021844220527075777808791170572441003968413777050629175082760299908392232843517816405778272541772415454347077689317424480802006810537930882787886928086111063330875511729100248872238018756529283758763671184003<248>

37707649490637518528697176256422232229003890935935209753878609198372533514259861550975356715463545296356544339433909062074548640386254710991115130946238027274525804973623119980429530223144923944071421999842602110339683344207486537189572835100167950147<251>

224716171977089871379812865105074800273461440796094953618964462885451737889933007803436357102105107942915194967368446910607702708281666602593855240647030982571150324776796202269023983921733270806876416224733795224703962184801339<228>

1134750182297652612896319333458431535812077637232021402237996730634250270246445185978566999037369125199315767868863961575593199547799988762191935926829695025995246684167503134270900330197613807673667101633529970349989932529<223>

215402363576853558711677738402283137748596405960987945116635070871300109851221019722354981132756350339741346972697643764348433088057770026225456713170496416780671658365584023695030157357877<189>

1998078009755612974238434768464712401362693817149089701629029409390001733997972192116389312882192357241967459676996857849855382011019926201169237566794736341374987481772965136708385726661448047891871625041406717227111153068812470336224388875465728973531<253>

685615673099612312545684469208008989292390620240826256230537776461551171651368544539348994437380090662770059948952547256843309498753029938200254951513722467536171060297004202137030928881628940742032276529143133676009008559651295095164631981<240>

4447555772050732099885750482110180534648597971993918983222924600946351152903251334735133856699169781311516545053011938297591491711744392045652288783934918098195043633818066235286541710155410559603419614508261634919620566405695941072429769232594337<247>

1743109998795668911687914658935024792397758905826030558671196480563352479877787883002921331757356401884883571640073400237360232663303611567130210521916466900710104124872587453568997427774475414295927862463132398113785482661650669702470835147815106059338702641<259>

1004422820006613099043787105670707344789<40>

1735434484437731424260476607387628640155277798769318021857909709894607773800339415148185168956091600638154624681308273718456939928392561304657301147377849820737310601663212738088758693841774609979588155516005227034829869<220>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 1743109998795668911687914658935024792397758905826030558671196480563352479877787883002921331757356401884883571640073400237360232663303611567130210521916466900710104124872587453568997427774475414295927862463132398113785482661650669702470835147815106059338702641 (259 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1681509328
Step 1 took 18266ms
Step 2 took 5645ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1840544850
Step 1 took 13788ms
Step 2 took 5637ms
Run 3 out of 0:
...
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:105206641
Step 1 took 13774ms
Step 2 took 5618ms
Run 16 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1582723132
Step 1 took 13766ms
Step 2 took 5609ms
** Factor found in step 2: 1004422820006613099043787105670707344789
Found prime factor of 40 digits: 1004422820006613099043787105670707344789
Composite cofactor 1735434484437731424260476607387628640155277798769318021857909709894607773800339415148185168956091600638154624681308273718456939928392561304657301147377849820737310601663212738088758693841774609979588155516005227034829869 has 220 digits

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

657407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407<270>

698557993825600278828113613235707997<36>

941092097174588494869792370307166106947866225845570619382730645007126847532491384496825684663869756576573533536672967625404729327913679858101155421895571518200424443299593482403577538691787029691100405223386515406746332300251652513531<234>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 657407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407 (270 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3826765233
Step 1 took 15647ms
Step 2 took 6252ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1287123557
Step 1 took 17070ms
Step 2 took 6225ms
Run 3 out of 0:
...
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4261624603
Step 1 took 15630ms
Step 2 took 6244ms
Run 14 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1722395111
Step 1 took 15662ms
Step 2 took 6169ms
** Factor found in step 2: 698557993825600278828113613235707997
Found prime factor of 36 digits: 698557993825600278828113613235707997
Composite cofactor 941092097174588494869792370307166106947866225845570619382730645007126847532491384496825684663869756576573533536672967625404729327913679858101155421895571518200424443299593482403577538691787029691100405223386515406746332300251652513531 has 234 digits

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

11373843145005413325703692687851049657437581593323441222119861668968221163271013977515959808168384875740682913415060265763560474862905997381935818320459154440679547829320355762624781096312509509319046897980489146527740297249<224>

6301419640317354822734960620585617144965197342507408762315847290970337843433333002326761489152162206730370540091256796933148866622847180888011858676754781890535109603304265981544966545970169322162548512258494378451980422218096386776731897239<241>

486818093797774241972811161640293421420439787606467091917407628872711092722133052042465076583229108256920624074402770258592447936430641502744162487235432752681086314926011438729102689<183>

3887105142351875171623376995891682727846564507946050373613064736200705020974075651361745592130801197752776255665500774606599659364550182461604653021894794125533838585408550146473906544693726130997480217931448644953835081754096048630891157330541298473983<253>

941587673402462555842863294015001978060493648335700337656532439744594756092828928409958203430924319205691245207653336544412789239244009440623664550090135969562684949820032519337411880640807930045792793590653989106479510215324682338938651709249<243>

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116630527629936263880675471450160982981799066955778960509888954596228398712136145607464353768315920888363230172810302910835140285169853472632893094158617517576713318877718641172218936855246731059859386293448978250870622248505158026151521124909652408173993035022011958735790787831<279>

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74162285080519802079263895207881042449793575285069020074917122464806396046130767575642768649709478388915903110855188486690591477581131749791814061413884248253455912341509539733649673682492213419968247760841203962386960849902661028270480576351<242>

357433706163690900446135255331190874399912626515824261114203560110343632689395073172073135652126656271617185938920179411156250429520986547051985841625344056826834700939178499207659645057799246767078371585942287363579886529137054259<231>

2594776867369917030244043740525388850139008624684166888185001281325292251892124365488101262801254458496235102058690366634994202160094738942121253233164466694733882744796495436500821756921450995349739434266706232536318298329299377207146490267680269479892873541<259>

68943696431712710938294234185368328001615248332596116487360792777115272613999297603397796391384681166051539548087922528416380526966430229114490233163896277981504073270798785023512130518643082939186539545822864472502825635708269<227>

10339001923242613313738090956832915517624681562551091305857338324394395680572257724793001849705997757464207515074398526945838959023940696754807388212326313256707925961541309612734440803568121573652085755303698456374062447677032118427157645462549724768118837<257>

77849135830733610783267567260556891051998398281441950201991095813207687021035932968166062952100632836721634735363375643790423986130134808388057986422233537758585224628747339423547982040752597200676651531040314449106620860673730543746609176724555722657080916172489124146784435962178039<284>

164418188460573686531457754719568275747618950792668896562835782965171182349014474434687751078054996459714536811007282448237178690662995771178845240623139657919489763504891965468439160602429573511702963023451673626844539693067107020283818347<240>

12020652826228018896839456093056772953047987247194540528459894763143801989319620324484602302497710067204290555040438770448311464087312462914101467712458175270956934732465045859088896677255848435567495127713046335956552857<221>

8016771935492941938536865515694509727484888956095380222092549944189531940062323590382179977758395269164516096668767611073782402916729082304210723775013043474651237923499062442835632869063539290510612408385447702848953342486775039622212564580323360399481010064855106117100704843<277>

943195706466868590254529996280354960412349221531431000584515649078059408045060842765290398002019235878633296136882937456825548647643339178489824113927413783941760986237313353525692119666294702162707901588819809766725118231574472607471172750943195706466868590254529996280354960412349221531431<291>

82588532234445825571350034868372540912161705608896779520750138446406229518985539252533459479039185278425369334249807590225718479919928974906330832554384428980681181095063234834481315711771877024132544928785287882721820974179597<227>

6381840844281819248791820918217745501<37>

12941177044307805802472822004231636261465036638536660714880515721221463903342993074008177945834767074232664386830126597520150632308555861704689544369885433767190924901620897692451806749866097<191>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 82588532234445825571350034868372540912161705608896779520750138446406229518985539252533459479039185278425369334249807590225718479919928974906330832554384428980681181095063234834481315711771877024132544928785287882721820974179597 (227 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3583866968
Step 1 took 12137ms
Step 2 took 4732ms
** Factor found in step 2: 6381840844281819248791820918217745501
Found prime factor of 37 digits: 6381840844281819248791820918217745501
Composite cofactor 12941177044307805802472822004231636261465036638536660714880515721221463903342993074008177945834767074232664386830126597520150632308555861704689544369885433767190924901620897692451806749866097 has 191 digits

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

12941177044307805802472822004231636261465036638536660714880515721221463903342993074008177945834767074232664386830126597520150632308555861704689544369885433767190924901620897692451806749866097<191>

25933400306728908007873458570578309517329<41>
499015820958502470220598363723425719840409099836347392524711442879282842715150740923980179080464915764349654646468522529903565402009003825468023210593<150>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 12941177044307805802472822004231636261465036638536660714880515721221463903342993074008177945834767074232664386830126597520150632308555861704689544369885433767190924901620897692451806749866097 (191 digits)
Using B1=51960000, B2=288593765476, polynomial Dickson(12), sigma=1:2496113445
Step 1 took 142857ms
Step 2 took 46672ms
********** Factor found in step 2: 25933400306728908007873458570578309517329
Found prime factor of 41 digits: 25933400306728908007873458570578309517329
Prime cofactor 499015820958502470220598363723425719840409099836347392524711442879282842715150740923980179080464915764349654646468522529903565402009003825468023210593 has 150 digits

5565182801716748403620218923180965884600484597108821253083869267459100026641131041690201565446177549341050228838207957023106554143651933846093702422224054275311381360657114380471570907090920203656794307151235048716185644075630789136154701074039<244>

425680556700238924108150828388537677624401183711150634459364604364330079499158083086718674682981727957669800801048270767923070820952366634637689543037823096687171413602903364837991351178279397396916391692290781085215834890810333155076929139169983800838218549966899<264>

268964686555202381049321075211070081491590209455326888985230197236983711630193625550526781006722147777059042184647839227744424332028055842133433197166121146862880623152198058706452433219913653381071870621625480440932313502092960458452652646991820497588070922558130846478331285457379939<285>