3476570012931413868375119047680102503435865670443084467469217710361100592048786530390154128289767663824382377574720430114679573333973153<136>

9977363686278311281730206144849<31>

348445754033470589072061585509477938389314985742330159872343560014962007758408601916448354604412231497297<105>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2526348712
Step 1 took 3047ms
********** Factor found in step 2: 9977363686278311281730206144849
Found prime factor of 31 digits: 9977363686278311281730206144849
Composite cofactor 348445754033470589072061585509477938389314985742330159872343560014962007758408601916448354604412231497297 has 105 digits

GMP-ECM

348445754033470589072061585509477938389314985742330159872343560014962007758408601916448354604412231497297<105>

498787142448401602271919756449<30>
698586078869337557988198740303513180940655229041338406714754999872348869553<75>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3997118518
Step 1 took 3485ms
Step 2 took 2546ms
********** Factor found in step 2: 498787142448401602271919756449
Found prime factor of 30 digits: 498787142448401602271919756449
Prime cofactor 698586078869337557988198740303513180940655229041338406714754999872348869553 has 75 digits
 

GMP-ECM

50477452051446269130545391370479180986863051717258178476089347913525528501714199167728210144535246831122420039132693380015787951177722802783802712267614697<155>

48329361989094218212362446213392115701043988108900979121<56>
1044446894681472911906372711729498418437408712020356481428928689481673965179684623528122682626748857<100>

50477452051446269130545391370479180986863051717258178476089347913525528501714199167728210144535246831122420039132693380015787951177722802783802712267614697=48329361989094218212362446213392115701043988108900979121*1044446894681472911906372711729498418437408712020356481428928689481673965179684623528122682626748857

cado polynomial
n: 50477452051446269130545391370479180986863051717258178476089347913525528501714199167728210144535246831122420039132693380015787951177722802783802712267614697
skew: 0.57
type: snfs
c0: 1
c5: 16
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 16*x^5+1
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7300000
tasks.lim1 = 7300000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1044446894681472911906372711729498418437408712020356481428928689481673965179684623528122682626748857 48329361989094218212362446213392115701043988108900979121
Info:Square Root: Total cpu/real time for sqrt: 213.48/69.0255
Info:Generate Free Relations: Total cpu/real time for freerel: 118.7/31.981
Info:Filtering - Singleton removal: Total cpu/real time for purge: 128.62/127.123
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22410197
Info:Lattice Sieving: Average J: 1895.23 for 828850 special-q, max bucket fill -bkmult 1.0,1s:1.188850
Info:Lattice Sieving: Total time: 142918s
Info:Linear Algebra: Total cpu/real time for bwc: 15306.3/3936.53
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 9693.49, WCT time 2483.54, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (31232 iterations)
Info:Linear Algebra: Lingen CPU time 177.97, WCT time 45.31
Info:Linear Algebra: Mksol: CPU time 5274.76,  WCT time 1348.45, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15616 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 88.2/101.549
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 101.5s
Info:Filtering - Merging: Merged matrix has 994726 rows and total weight 169380280 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 238.81/66.3304
Info:Filtering - Merging: Total cpu/real time for replay: 34.33/28.9258
Info:Generate Factor Base: Total cpu/real time for makefb: 3.06/1.67914
Info:Quadratic Characters: Total cpu/real time for characters: 32.96/13.2801
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 213.29/183.352
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 167.2s
Info:Square Root: Total cpu/real time for sqrt: 213.48/69.0255
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 282485/76301.4
Info:root: Cleaning up computation data in /tmp/cado.4cxgyhnc
1044446894681472911906372711729498418437408712020356481428928689481673965179684623528122682626748857 48329361989094218212362446213392115701043988108900979121

cado-nfs-3.0.0

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

50340758103958389385696930390787405805795903802975132419750362132074296501289862974342469975146171667099693000398442575790609672502320506988200117604736665651<158>

157966961258075497519626981430887432060956077346522849927951842029677<69>
318679030748177398793463802598574092973920940954057572476614384259916668246226582215948063<90>

Sat Dec 25 05:36:48 2021  Msieve v. 1.53 (SVN unknown)
Sat Dec 25 05:36:48 2021  random seeds: fc0e07c0 8970a880
Sat Dec 25 05:36:48 2021  factoring 50340758103958389385696930390787405805795903802975132419750362132074296501289862974342469975146171667099693000398442575790609672502320506988200117604736665651 (158 digits)
Sat Dec 25 05:36:49 2021  searching for 15-digit factors
Sat Dec 25 05:36:49 2021  commencing number field sieve (158-digit input)
Sat Dec 25 05:36:49 2021  R0: -2000000000000000000000000000000000000
Sat Dec 25 05:36:49 2021  R1: 1
Sat Dec 25 05:36:49 2021  A0: 1
Sat Dec 25 05:36:49 2021  A1: 0
Sat Dec 25 05:36:49 2021  A2: 0
Sat Dec 25 05:36:49 2021  A3: 0
Sat Dec 25 05:36:49 2021  A4: 0
Sat Dec 25 05:36:49 2021  A5: 5
Sat Dec 25 05:36:49 2021  skew 0.72, size 1.887e-12, alpha 0.803, combined = 1.157e-10 rroots = 1
Sat Dec 25 05:36:49 2021  
Sat Dec 25 05:36:49 2021  commencing square root phase
Sat Dec 25 05:36:49 2021  reading relations for dependency 1
Sat Dec 25 05:36:49 2021  read 723121 cycles
Sat Dec 25 05:36:50 2021  cycles contain 2507314 unique relations
Sat Dec 25 05:37:13 2021  read 2507314 relations
Sat Dec 25 05:37:22 2021  multiplying 2507314 relations
Sat Dec 25 05:38:01 2021  multiply complete, coefficients have about 60.83 million bits
Sat Dec 25 05:38:02 2021  initial square root is modulo 541467181
Sat Dec 25 05:38:55 2021  sqrtTime: 126
Sat Dec 25 05:38:55 2021  p69 factor: 157966961258075497519626981430887432060956077346522849927951842029677
Sat Dec 25 05:38:55 2021  p90 factor: 318679030748177398793463802598574092973920940954057572476614384259916668246226582215948063
Sat Dec 25 05:38:55 2021  elapsed time 00:02:07
Sat Dec 25 05:38:55 2021 -> Computing 1.64038e+09 scale for this machine...
Sat Dec 25 05:38:55 2021 -> procrels -speedtest> PIPE
Sat Dec 25 05:38:56 2021 -> Factorization summary written to s183-80005_182.txt

8674533657131125807178532450855998422975491937117189107259033059843354317034793594423142479510765196330219207127379665953184317972098153938273933409<148>

74128247343441158133397937343525316665756567864452206319976929<62>
117020622610182966453341358219246436933300707342057357806967299643397463349417061525121<87>

N=8674533657131125807178532450855998422975491937117189107259033059843354317034793594423142479510765196330219207127379665953184317972098153938273933409
  ( 148 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=74128247343441158133397937343525316665756567864452206319976929 (pp62)
 r2=117020622610182966453341358219246436933300707342057357806967299643397463349417061525121 (pp87)
Version: Msieve v. 1.52 (SVN 927)
Total time: 92.62 hours.
Scaled time: 717.43 units (timescale=7.746).
Factorization parameters were as follows:
n: 8674533657131125807178532450855998422975491937117189107259033059843354317034793594423142479510765196330219207127379665953184317972098153938273933409
m: 10000000000000000000000000000000000000
deg: 5
c5: 8
c0: 5
skew: 0.91
# Murphy_E = 7.356e-11
type: snfs
lss: 1
rlim: 8800000
alim: 8800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4400000, 10200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1722531 x 1722759
Total sieving time: 91.98 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.51 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8800000,8800000,28,28,54,54,2.5,2.5,100000
total time: 92.62 hours.

GNFS, Msieve

712595354264564373037207528097992605961434811475066971880044270105975796087858631832412736522185331430325772351987275757064906608314815053373339298819<150>

2748899026146931334790165322474017414086985853<46>
259229366916176955326042640013588629664042711049122387643364896122336205878055421082969693102797048311423<105>

712595354264564373037207528097992605961434811475066971880044270105975796087858631832412736522185331430325772351987275757064906608314815053373339298819=2748899026146931334790165322474017414086985853*259229366916176955326042640013588629664042711049122387643364896122336205878055421082969693102797048311423

cado polynomial
n: 712595354264564373037207528097992605961434811475066971880044270105975796087858631832412736522185331430325772351987275757064906608314815053373339298819
skew: 0.57
type: snfs
c0: 1
c5: 16
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 16*x^5+1
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8900000
tasks.lim1 = 8900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 259229366916176955326042640013588629664042711049122387643364896122336205878055421082969693102797048311423 2748899026146931334790165322474017414086985853
Info:Square Root: Total cpu/real time for sqrt: 388.49/125.42
Info:Generate Free Relations: Total cpu/real time for freerel: 116.47/29.7562
Info:Filtering - Singleton removal: Total cpu/real time for purge: 87.62/101.383
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22420730
Info:Lattice Sieving: Average J: 1895.33 for 1014914 special-q, max bucket fill -bkmult 1.0,1s:1.149020
Info:Lattice Sieving: Total time: 187777s
Info:Linear Algebra: Total cpu/real time for bwc: 38435.6/9892.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 24554.56, WCT time 6291.32, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (48128 iterations)
Info:Linear Algebra: Lingen CPU time 299.49, WCT time 76.13
Info:Linear Algebra: Mksol: CPU time 13307.34,  WCT time 3421.01, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (24064 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.62/105.473
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 105.4s
Info:Filtering - Merging: Merged matrix has 1534562 rows and total weight 261328783 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 404.31/112.47
Info:Filtering - Merging: Total cpu/real time for replay: 59.97/54.3894
Info:Generate Factor Base: Total cpu/real time for makefb: 3.79/2.03823
Info:Quadratic Characters: Total cpu/real time for characters: 56.84/22.7167
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 217.63/183.358
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 169.8s
Info:Square Root: Total cpu/real time for sqrt: 388.49/125.42
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 391321/104862
Info:root: Cleaning up computation data in /tmp/cado.zl4rydvd
259229366916176955326042640013588629664042711049122387643364896122336205878055421082969693102797048311423 2748899026146931334790165322474017414086985853

cado-nfs-3.0.0

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

2853672250282273160942773544638590430285503026618451919670709315656117259868125649235379036644177310813022704340697623747759382583667247044534491229<148>

1234710391308032985719729892300461021899899349<46>
12696079316441154086884777961247546693284459881<47>
182041062642232906042394113297627456289572010666657975041<57>

2853672250282273160942773544638590430285503026618451919670709315656117259868125649235379036644177310813022704340697623747759382583667247044534491229=1234710391308032985719729892300461021899899349*12696079316441154086884777961247546693284459881*182041062642232906042394113297627456289572010666657975041

cado polynomial
n: 2853672250282273160942773544638590430285503026618451919670709315656117259868125649235379036644177310813022704340697623747759382583667247044534491229
skew: 0.72
type: snfs
c0: 1
c5: 5
Y0: 20000000000000000000000000000000000000
Y1: -1
# f(x) = 5*x^5+1
# g(x) = -x+20000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9200000
tasks.lim1 = 9200000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 12696079316441154086884777961247546693284459881 182041062642232906042394113297627456289572010666657975041 1234710391308032985719729892300461021899899349
Info:Square Root: Total cpu/real time for sqrt: 660.56/205.986
Info:Filtering - Singleton removal: Total cpu/real time for purge: 129.22/148.348
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22650735
Info:Lattice Sieving: Average J: 1895.55 for 1044253 special-q, max bucket fill -bkmult 1.0,1s:1.162440
Info:Lattice Sieving: Total time: 197157s
Info:Linear Algebra: Total cpu/real time for bwc: 37668.9/9675.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 24083.7, WCT time 6156.23, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (47872 iterations)
Info:Linear Algebra: Lingen CPU time 294.91, WCT time 74.97
Info:Linear Algebra: Mksol: CPU time 13019.82,  WCT time 3342.61, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (23808 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.36/31.979
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.42/106.197
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 106.0s
Info:Filtering - Merging: Merged matrix has 1523739 rows and total weight 259111369 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 388.9/108.497
Info:Filtering - Merging: Total cpu/real time for replay: 58.34/49.4363
Info:Generate Factor Base: Total cpu/real time for makefb: 3.9/2.10322
Info:Quadratic Characters: Total cpu/real time for characters: 55.4/22.3062
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 251.99/226.663
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 198.39999999999998s
Info:Square Root: Total cpu/real time for sqrt: 660.56/205.986
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 407996/109270
Info:root: Cleaning up computation data in /tmp/cado.sa0wzkd5
12696079316441154086884777961247546693284459881 182041062642232906042394113297627456289572010666657975041 1234710391308032985719729892300461021899899349

cado-nfs-3.0.0

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

240249220506641622916764308108349323013567553837792082389782675897720515454516940977434275068568502329167289549147163366524724206609<132>

8393857807824337552979658105503343151940797924411<49>
28622026487355221365481363786133218522442821002797724239756958768736919411430774819<83>

CADO

STA:Fri 24 Dec 2021 04:32:39 AEDT (240,249,220,506,641,622,916,764,308,108,349,323,013,567,553,837,792,082,389,782,675,897,720,515,454,516,940,977,434,275,068,568,502,329,167,289,549,147,163,366,524,724,206,609 - C132)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 240249220506641622916764308108349323013567553837792082389782675897720515454516940977434275068568502329167289549147163366524724206609 2>&1 | tee -a log118

Debug:root: Looking for parameter file for c132 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.f3l2hap6
Info:Database: Opened connection to database /tmp/cado.f3l2hap6/c130.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 2402492205066416229167643081083493230135675538377920823897826758977205154545169409774
34275068568502329167289549147163366524724206609
Debug:root: Root parameter dictionary:
N = 240249220506641622916764308108349323013567553837792082389782675897720515454516940977434275068568502329167289549147163366524724206609
lim0 = 11872741
lim1 = 45278470
lpb0 = 27
lpb1 = 28
name = c130
...
n: 240249220506641622916764308108349323013567553837792082389782675897720515454516940977434275068568502329167289549147163366524724206609
skew: 561362.191
c0: -448771823712624521561124649455920
c1: -1535905185344959015362500258
c2: 12545211337279688343965
c3: 4183324956311753
c4: -7892332440
c5: 9360
Y0: -43404800994714690723532931
Y1: 17952945769420253
# MurphyE (Bf=4.53e+07,Bg=1.19e+07,area=6.08e+15) = 1.42e-09
# f(x) = 9360*x^5-7892332440*x^4+4183324956311753*x^3+12545211337279688343965*x^2-1535905185344959015362500258*x-448771823712624521561124649455920
# g(x) = 17952945769420253*x-43404800994714690723532931
...
Info:Square Root: finished
Info:Square Root: Factors: 28622026487355221365481363786133218522442821002797724239756958768736919411430774819 8393857807824337552979658105503343151940797924411
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 1755/245.359
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38746/39.100/46.946/51.640/0.850
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 38746/37.530/42.333/47.770/1.231
Info:Polynomial Selection (size optimized): Total time: 5788.66
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2202.35
Info:Polynomial Selection (root optimized): Rootsieve time: 2201.38
Info:Generate Factor Base: Total cpu/real time for makefb: 59.02/5.32767
Info:Generate Free Relations: Total cpu/real time for freerel: 302/19.9516
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19224005
Info:Lattice Sieving: Average J: 8175.79 for 83062 special-q, max bucket fill: 0.599074
Info:Lattice Sieving: Total CPU time: 284511s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 51.4/73.5716
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 73.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 332.86/105.751
Info:Filtering - Singleton removal: Total cpu/real time for purge: 168.9/79.5257
Info:Filtering - Merging: Total cpu/real time for merge: 1105.31/973.11
Info:Filtering - Merging: Total cpu/real time for replay: 74.43/60.4867
Info:Linear Algebra: Total cpu/real time for bwc: 77871.5/0.000349283
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 3352.87
Info:Linear Algebra: Lingen CPU time 408.88, WCT time 39.82
Info:Linear Algebra: Mksol: WCT time 1823.83
Info:Quadratic Characters: Total cpu/real time for characters: 67.11/15.9091
Info:Square Root: Total cpu/real time for sqrt: 1755/245.359
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 374289/26586
Info:root: Cleaning up computation data in /tmp/cado.f3l2hap6
28622026487355221365481363786133218522442821002797724239756958768736919411430774819 8393857807824337552979658105503343151940797924411

END:Fri 24 Dec 2021 11:55:46 AEDT (240,249,220,506,641,622,916,764,308,108,349,323,013,567,553,837,792,082,389,782,675,897,720,515,454,516,940,977,434,275,068,568,502,329,167,289,549,147,163,366,524,724,206,609 - C132)

87064810064856387012241572613908698477711670656266527152807426178231755221650512816053698358478073353063925380449142408986027459510444794752609481484921725255361<161>

71954487269746993565613335910525603113353<41>

1209998338789670933299008608705353553141081485586449585218881045256864393862714776086102325850053798240378538050644342137<121>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1040477464
Step 1 took 4891ms
Step 2 took 2875ms
********** Factor found in step 2: 71954487269746993565613335910525603113353
Found prime factor of 41 digits: 71954487269746993565613335910525603113353
Composite cofactor 1209998338789670933299008608705353553141081485586449585218881045256864393862714776086102325850053798240378538050644342137 has 121 digits
 

GMP-ECM

1209998338789670933299008608705353553141081485586449585218881045256864393862714776086102325850053798240378538050644342137<121>

155095918799606660231492302329653353<36>
7801613015704573252488398080646630374522158613239911998655570514867121761236611613329<85>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:881509218
Step 1 took 4782ms
Step 2 took 2906ms
********** Factor found in step 2: 155095918799606660231492302329653353
Found prime factor of 36 digits: 155095918799606660231492302329653353
Prime cofactor 7801613015704573252488398080646630374522158613239911998655570514867121761236611613329 has 85 digits

GMP-ECM

33421836399068512138979352468104858670697170723545295466521692701133539208685272440253307257530586094779826471077328801529404652552093583904075533653411387794729464409379<170>

2460709631102573475542699060259031760879018612583188612880052813<64>
13582194329890579138008882486090296485821589453164223440803257457910506448507476465722914830988974829614383<107>

33421836399068512138979352468104858670697170723545295466521692701133539208685272440253307257530586094779826471077328801529404652552093583904075533653411387794729464409379=2460709631102573475542699060259031760879018612583188612880052813*13582194329890579138008882486090296485821589453164223440803257457910506448507476465722914830988974829614383

cado polynomial
n: 33421836399068512138979352468104858670697170723545295466521692701133539208685272440253307257530586094779826471077328801529404652552093583904075533653411387794729464409379
skew: 0.46
type: snfs
c0: 1
c5: 50
Y0: 2000000000000000000000000000000000000000
Y1: -1
# f(x) = 50*x^5+1
# g(x) = -x+2000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14100000
tasks.lim1 = 14100000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 13582194329890579138008882486090296485821589453164223440803257457910506448507476465722914830988974829614383 2460709631102573475542699060259031760879018612583188612880052813
Info:Square Root: Total cpu/real time for sqrt: 1208.14/370.403
Info:Filtering - Singleton removal: Total cpu/real time for purge: 419.54/488.963
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28701981
Info:Lattice Sieving: Average J: 1893.57 for 3017576 special-q, max bucket fill -bkmult 1.0,1s:1.134200
Info:Lattice Sieving: Total time: 859865s
Info:Linear Algebra: Total cpu/real time for bwc: 110995/28412.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 71142.99, WCT time 18152.07, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (79360 iterations)
Info:Linear Algebra: Lingen CPU time 537.7, WCT time 136.33
Info:Linear Algebra: Mksol: CPU time 38415.42,  WCT time 9815.53, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (39936 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 119.04/32.5485
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 120.27/142.936
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 142.0s
Info:Filtering - Merging: Merged matrix has 2526170 rows and total weight 429631780 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 706.99/194.471
Info:Filtering - Merging: Total cpu/real time for replay: 97.68/84.4547
Info:Generate Factor Base: Total cpu/real time for makefb: 5.87/2.90944
Info:Quadratic Characters: Total cpu/real time for characters: 86.91/38.1914
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 524.17/536.068
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 433.69999999999993s
Info:Square Root: Total cpu/real time for sqrt: 1208.14/370.403
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.75342e+06/245180
Info:root: Cleaning up computation data in /tmp/cado.i_wa9aya
13582194329890579138008882486090296485821589453164223440803257457910506448507476465722914830988974829614383 2460709631102573475542699060259031760879018612583188612880052813

cado-nfs-3.0.0

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

5481595975874141512236502421819245586861200101252878945577873743692156507635671907873725262470091045484080391766068131108699738769239248530843741872522005424404063085901009<172>

2602014245089287584126122594768397919207261398904010858244469343853281<70>
2106674083825410291998850627835258262363742443480624270167232790408453662234431791507518208790805039089<103>

Number: n
N=5481595975874141512236502421819245586861200101252878945577873743692156507635671907873725262470091045484080391766068131108699738769239248530843741872522005424404063085901009  ( 172 digits)
SNFS difficulty: 201 digits.
Divisors found:

Fri Dec 24 17:36:00 2021  p70 factor: 2602014245089287584126122594768397919207261398904010858244469343853281
Fri Dec 24 17:36:00 2021  p103 factor: 2106674083825410291998850627835258262363742443480624270167232790408453662234431791507518208790805039089
Fri Dec 24 17:36:00 2021  elapsed time 01:18:01 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.312).
Factorization parameters were as follows:
#
# N = 8x10^201+5 = 80(200)5
#
n: 5481595975874141512236502421819245586861200101252878945577873743692156507635671907873725262470091045484080391766068131108699738769239248530843741872522005424404063085901009
m: 10000000000000000000000000000000000000000
deg: 5
c5: 16
c0: 1
skew: 0.57
# Murphy_E = 1.761e-11
type: snfs
lss: 1
rlim: 15800000
alim: 15800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15800000/15800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8093991 hash collisions in 69056536 relations (62795410 unique)
Msieve: matrix is 1756236 x 1756466 (597.5 MB)

Sieving start time : 2021/12/24 05:34:19
Sieving end time  : 2021/12/24 16:16:32

Total sieving time: 10hrs 42min 13secs.

Total relation processing time: 0hrs 59min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 39sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,15800000,15800000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118230] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.153572] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.15 BogoMIPS (lpj=12798304)
[    0.152049] smpboot: Total of 16 processors activated (102386.43 BogoMIPS)

2089654410041211550438849824591862054828464729585848375535377785819348407174704604852704916647427370884051297426785062497782435884469156476922959641223159513924808542630517858665249675493975071183<196>

92728577720195109314461830205024512783846609653<47>
22535171588058459962746250832519062111263408655262075580280983969751092691396085491070839455750247064110910086121818065044555450936608365818669705011<149>

Number: n
N=2089654410041211550438849824591862054828464729585848375535377785819348407174704604852704916647427370884051297426785062497782435884469156476922959641223159513924808542630517858665249675493975071183  ( 196 digits)
SNFS difficulty: 204 digits.
Divisors found:

Wed Dec 22 22:54:23 2021  p47 factor: 92728577720195109314461830205024512783846609653
Wed Dec 22 22:54:23 2021  p149 factor: 22535171588058459962746250832519062111263408655262075580280983969751092691396085491070839455750247064110910086121818065044555450936608365818669705011
Wed Dec 22 22:54:23 2021  elapsed time 01:53:11 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.305).
Factorization parameters were as follows:
#
# N = 8x10^204+5 = 80(203)5
#
n: 2089654410041211550438849824591862054828464729585848375535377785819348407174704604852704916647427370884051297426785062497782435884469156476922959641223159513924808542630517858665249675493975071183
m: 20000000000000000000000000000000000000000
deg: 5
c5: 500
c0: 1
skew: 0.29
# Murphy_E = 1.114e-11
type: snfs
lss: 1
rlim: 17700000
alim: 17700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17700000/17700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8613841 hash collisions in 68847362 relations (61933998 unique)
Msieve: matrix is 2126722 x 2126951 (725.3 MB)

Sieving start time : 2021/12/22 04:36:37
Sieving end time  : 2021/12/22 20:56:33

Total sieving time: 16hrs 19min 56secs.

Total relation processing time: 1hrs 33min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 37sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17700000,17700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118230] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.153572] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.15 BogoMIPS (lpj=12798304)
[    0.152049] smpboot: Total of 16 processors activated (102386.43 BogoMIPS)

125984251968503937007874015748031496062992125984251968503937007874015748031496062992125984251968503937007874015748031496062992125984251968503937007874015748031496062992125984251968503937007874015748031496063<207>

4272104261546892366817311113708155970074824600137519499390392619416464685063<76>
29489975959267931887705484010784862020457001357999657892068783910263664903687435737352269068330991730594480241561157581171993997001<131>

Number: n
N=125984251968503937007874015748031496062992125984251968503937007874015748031496062992125984251968503937007874015748031496062992125984251968503937007874015748031496062992125984251968503937007874015748031496063  ( 207 digits)
SNFS difficulty: 208 digits.
Divisors found:

Thu Aug 29 09:09:14 2024  prp76 factor: 4272104261546892366817311113708155970074824600137519499390392619416464685063
Thu Aug 29 09:09:14 2024  prp131 factor: 29489975959267931887705484010784862020457001357999657892068783910263664903687435737352269068330991730594480241561157581171993997001
Thu Aug 29 09:09:14 2024  elapsed time 02:16:06 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.135).
Factorization parameters were as follows:
#
# N = 8x10^208+5 = 80(207)5
#
n: 125984251968503937007874015748031496062992125984251968503937007874015748031496062992125984251968503937007874015748031496062992125984251968503937007874015748031496062992125984251968503937007874015748031496063
m: 200000000000000000000000000000000000000000
deg: 5
c5: 50
c0: 1
skew: 0.46
# Murphy_E = 8.665e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 27
lpba: 27
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0:       50000
qintsize: 50000
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 57/57
Sieved  special-q in [50000, 38050000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 7862819 hash collisions in 26793135 relations (17355373 unique)
Msieve: matrix is 2095863 x 2096088 (590.8 MB)

Sieving start time: 2024/08/28 10:36:56
Sieving end time  : 2024/08/29 06:47:24

Total sieving time: 20hrs 10min 28secs.

Total relation processing time: 2hrs 7min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 21sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,27,27,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

23741599479775677797445531095065419941461600976223359885343968132797467920863354897877088653521223282741364401067696102021021416997631056280208089792627070354801<161>

5020575846642388932034557847732443044335466084583408913552530091518995205473<76>
4728859836995262191885434830330657788981702651175059415710974367580120596358694085137<85>

12/05/24 18:20:15 v1.34.5 @ RYZEN-9,
12/05/24 18:20:15 v1.34.5 @ RYZEN-9, ****************************
12/05/24 18:20:15 v1.34.5 @ RYZEN-9, Starting factorization of 800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000005
12/05/24 18:20:15 v1.34.5 @ RYZEN-9, using pretesting plan: normal
12/05/24 18:20:15 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
12/05/24 18:20:15 v1.34.5 @ RYZEN-9, ****************************
12/05/24 18:20:15 v1.34.5 @ RYZEN-9, div: found prime factor = 5
12/05/24 18:20:15 v1.34.5 @ RYZEN-9, div: found prime factor = 17
12/05/24 18:20:15 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C208
12/05/24 18:20:15 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C208
12/05/24 18:20:15 v1.34.5 @ RYZEN-9, prp7 = 1777553
12/05/24 18:20:15 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C202
12/05/24 18:20:15 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C202
12/05/24 18:20:15 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C202
12/05/24 18:20:15 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
12/05/24 18:20:15 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 62.15
12/05/24 18:20:15 v1.34.5 @ RYZEN-9, Finished 30 curves using Lenstra ECM method on C202 input, B1=2K, B2=gmp-ecm default
12/05/24 18:20:15 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18
12/05/24 18:20:15 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 62.15
12/05/24 18:20:16 v1.34.5 @ RYZEN-9, prp22 = 4727986661260606457617 (curve 32 stg2 B1=11000 sigma=1536171876 thread=0)
12/05/24 18:20:16 v1.34.5 @ RYZEN-9, Finished 32 curves using Lenstra ECM method on C202 input, B1=11K, B2=gmp-ecm default
12/05/24 18:20:16 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 17.34
12/05/24 18:20:16 v1.34.5 @ RYZEN-9, scheduled 42 curves at B1=11000 toward target pretesting depth of 55.69
12/05/24 18:20:18 v1.34.5 @ RYZEN-9, Finished 42 curves using Lenstra ECM method on C181 input, B1=11K, B2=gmp-ecm default
12/05/24 18:20:18 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24
12/05/24 18:20:18 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 55.69
12/05/24 18:20:23 v1.34.5 @ RYZEN-9, prp20 = 47169610036811024353 (curve 44 stg2 B1=50000 sigma=2460532170 thread=0)
12/05/24 18:20:23 v1.34.5 @ RYZEN-9, Finished 44 curves using Lenstra ECM method on C181 input, B1=50K, B2=gmp-ecm default
12/05/24 18:20:23 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 21.27
12/05/24 18:20:23 v1.34.5 @ RYZEN-9, scheduled 170 curves at B1=50000 toward target pretesting depth of 49.54
12/05/24 18:20:53 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c210: 800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000005
12/05/24 18:20:53 v1.34.5 @ RYZEN-9, nfs: input divides 8*10^209 + 5
12/05/24 18:20:53 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 23741599479775677797445531095065419941461600976223359885343968132797467920863354897877088653521223282741364401067696102021021416997631056280208089792627070354801
12/05/24 18:20:53 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c161: 23741599479775677797445531095065419941461600976223359885343968132797467920863354897877088653521223282741364401067696102021021416997631056280208089792627070354801
12/05/24 18:20:54 v1.34.5 @ RYZEN-9, gen: best 3 polynomials:
n: 23741599479775677797445531095065419941461600976223359885343968132797467920863354897877088653521223282741364401067696102021021416997631056280208089792627070354801
# 8*10^209+5, difficulty: 210.20, anorm: 4.47e+031, rnorm: 3.72e+047
# scaled difficulty: 212.86, suggest sieving rational side
# size = 1.891e-014, alpha = 0.336, combined = 6.842e-012, rroots = 1
type: snfs
size: 210
skew: 0.2885
c5: 500
c0: 1
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
n: 23741599479775677797445531095065419941461600976223359885343968132797467920863354897877088653521223282741364401067696102021021416997631056280208089792627070354801
# 8*10^209+5, difficulty: 210.00, anorm: 2.00e+031, rnorm: 8.33e+047
# scaled difficulty: 212.77, suggest sieving rational side
# size = 1.729e-014, alpha = 0.605, combined = 6.367e-012, rroots = 1
type: snfs
size: 210
skew: 1.4427
c5: 4
c0: 25
Y1: -1
Y0: 1000000000000000000000000000000000000000000
m: 1000000000000000000000000000000000000000000
n: 23741599479775677797445531095065419941461600976223359885343968132797467920863354897877088653521223282741364401067696102021021416997631056280208089792627070354801
# 8*10^209+5, difficulty: 210.00, anorm: 2.00e+037, rnorm: 8.58e+040
# scaled difficulty: 210.00, suggest sieving algebraic side
# size = 1.331e-010, alpha = 1.675, combined = 4.122e-012, rroots = 0
type: snfs
size: 210
skew: 1.3572
c6: 4
c0: 25
Y1: -1
Y0: 100000000000000000000000000000000000
m: 100000000000000000000000000000000000
12/05/24 18:20:55 v1.34.5 @ RYZEN-9, test: fb generation took 1.7917 seconds
12/05/24 18:20:55 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 21400000-21402000
skew: 0.2885
c5: 500
c0: 1
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
12/05/24 18:24:08 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
12/05/24 18:24:10 v1.34.5 @ RYZEN-9, test: fb generation took 1.7063 seconds
12/05/24 18:24:10 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000
skew: 1.4427
c5: 4
c0: 25
Y1: -1
Y0: 1000000000000000000000000000000000000000000
m: 1000000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
12/05/24 18:27:24 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
12/05/24 18:27:27 v1.34.5 @ RYZEN-9, test: fb generation took 3.1252 seconds
12/05/24 18:27:27 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the algebraic side over range 21400000-21402000
skew: 1.3572
c6: 4
c0: 25
Y1: -1
Y0: 100000000000000000000000000000000000
m: 100000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
12/05/24 18:30:49 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
12/05/24 18:30:49 v1.34.5 @ RYZEN-9, gen: selected polynomial:
n: 23741599479775677797445531095065419941461600976223359885343968132797467920863354897877088653521223282741364401067696102021021416997631056280208089792627070354801
# 8*10^209+5, difficulty: 210.20, anorm: 4.47e+031, rnorm: 3.72e+047
# scaled difficulty: 212.86, suggest sieving rational side
# size = 1.891e-014, alpha = 0.336, combined = 6.842e-012, rroots = 1
type: snfs
size: 210
skew: 0.2885
c5: 500
c0: 1
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
12/07/24 01:15:57 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
12/07/24 01:18:07 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 22077251
12/07/24 03:05:36 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
12/07/24 03:07:53 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 23272867
12/07/24 04:55:35 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
12/07/24 04:57:57 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 24456113
12/07/24 07:00:53 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
12/07/24 07:03:23 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 25793539
12/05/24 18:30:49 v1.34.5 @ RYZEN-9, test: test sieving took 595.24 seconds
12/07/24 08:53:34 v1.34.5 @ RYZEN-9, nfs: previous data file found - commencing search for last special-q
12/07/24 08:53:37 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
12/07/24 08:53:37 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c161: 23741599479775677797445531095065419941461600976223359885343968132797467920863354897877088653521223282741364401067696102021021416997631056280208089792627070354801
12/07/24 08:53:37 v1.34.5 @ RYZEN-9, nfs: resuming with filtering
12/07/24 08:53:37 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
12/07/24 08:56:05 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 26889337
12/07/24 11:12:39 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
12/07/24 11:17:13 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra
12/07/24 15:04:06 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt
12/07/24 15:14:59 v1.34.5 @ RYZEN-9, prp76 = 5020575846642388932034557847732443044335466084583408913552530091518995205473
12/07/24 15:14:59 v1.34.5 @ RYZEN-9, prp85 = 4728859836995262191885434830330657788981702651175059415710974367580120596358694085137
12/07/24 15:14:59 v1.34.5 @ RYZEN-9, NFS elapsed time = 22885.0444 seconds.
12/07/24 15:14:59 v1.34.5 @ RYZEN-9,
12/07/24 15:14:59 v1.34.5 @ RYZEN-9,

YAFU

47602045401351195187811114352991827093127416947695465474015476360265177721135071746989258844947248165624057622361828440960584869666722902814874038968945326721<158>

1280334792320329364970455800969434638371949567140493598334838502010388995934115139994885900216848633504717885308040965806242095600828459373913975663864869831489391320919724755641<178>

1366998227342095572152620929256298204060514009075514491811941252954296867234768797731436858097586343071711580620419894285057659778646888776775036168763483105675046103979130397523225857337341181<193>

198297633680267090238437588476263771149139015036413158959938896570930084093601133976587158774732364731993504348766639586736625825972345153539749426721099595533790006348030803076396143112037<189>

104647569146203656472973283516124662684870470024402107707016421353051205608965405712492495705456957945614200981963303420521188545599399322573437371014123323163090559438103763766263<180>

287473174432908451078117095807739722342808119427445988608683782799139375979190858014166033310126848573623021878063974404646254960148805634530446943967978738496954460597989504679144497801283981<192>

123415700257457895057407968276603829280661<42>
124007804002297705206778684076071185295199351174347053329<57>
18783559553865129018125301761118963122558984722753854310998603940429795349405699028702039399049<95>

Number: 80005_219
N = 287473174432908451078117095807739722342808119427445988608683782799139375979190858014166033310126848573623021878063974404646254960148805634530446943967978738496954460597989504679144497801283981 (192 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=123415700257457895057407968276603829280661 (pp42)
r2=124007804002297705206778684076071185295199351174347053329 (pp57)
r3=18783559553865129018125301761118963122558984722753854310998603940429795349405699028702039399049 (pp95)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 55.85 hours.
Factorization parameters were as follows:
n: 287473174432908451078117095807739722342808119427445988608683782799139375979190858014166033310126848573623021878063974404646254960148805634530446943967978738496954460597989504679144497801283981
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 4
c0: 25
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30219310
Relations: 8391898 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 23.68 hours.
Total relation processing time: 0.36 hours.
Pruned matrix : 7113711 x 7113936
Matrix solve time: 28.72 hours.
time per square root: 3.09 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 55.85 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

1080424066446080086433925315686406914714025254912553177122020393004254169761631440340333580930515227226686474441218178134917955297454250793436423796340063474913903707205077993112296576406239448983726112499155918698089<217>

2028665449587157151564361064290115704067134515611472366812803462577036236767925612499<85>
532578728871215017674476380238391312313053708631341902137923731261176765267993708076700656105510821007966469219156801325679145539411<132>

Number: 80005_220
N = 1080424066446080086433925315686406914714025254912553177122020393004254169761631440340333580930515227226686474441218178134917955297454250793436423796340063474913903707205077993112296576406239448983726112499155918698089 (217 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=2028665449587157151564361064290115704067134515611472366812803462577036236767925612499 (pp85)
r2=532578728871215017674476380238391312313053708631341902137923731261176765267993708076700656105510821007966469219156801325679145539411 (pp132)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 53.74 hours.
Factorization parameters were as follows:
n: 1080424066446080086433925315686406914714025254912553177122020393004254169761631440340333580930515227226686474441218178134917955297454250793436423796340063474913903707205077993112296576406239448983726112499155918698089
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 8
c0: 5
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31455010
Relations: 6842234 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 17.85 hours.
Total relation processing time: 0.42 hours.
Pruned matrix : 6137977 x 6138203
Matrix solve time: 35.12 hours.
time per square root: 0.34 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 53.74 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

4471788110059600487900344452190931915311175024083906849507121397440727487392259042981998569020712162777240278758242063407367371243298294801175301638963083985751329812792377<172>

5507440281809916072189946193220815469960073<43>

811953989738047947020989001727285933118036198381688839276812703620986404789954740478173619091124195133686951896455115093742585649<129>

Run 147 out of 610:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1708262714
Step 1 took 7947ms
********** Factor found in step 1: 5507440281809916072189946193220815469960073
Found prime factor of 43 digits: 5507440281809916072189946193220815469960073
Composite cofactor 811953989738047947020989001727285933118036198381688839276812703620986404789954740478173619091124195133686951896455115093742585649 has 129 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

811953989738047947020989001727285933118036198381688839276812703620986404789954740478173619091124195133686951896455115093742585649<129>

18246472017063014578548110760764060705162320141280216561<56>
44499231905146206033105252736533035298968978427169113294660197580418700609<74>

811953989738047947020989001727285933118036198381688839276812703620986404789954740478173619091124195133686951896455115093742585649=18246472017063014578548110760764060705162320141280216561*44499231905146206033105252736533035298968978427169113294660197580418700609

cado polynomial
n: 811953989738047947020989001727285933118036198381688839276812703620986404789954740478173619091124195133686951896455115093742585649
skew: 57028.559
c0: 154153843575941967928687126308
c1: -8156061122824296882724210
c2: -233352685870534959434
c3: -115196224258804
c4: -4144771855
c5: 366300
Y0: -4668323874418634123125747
Y1: 104787095680867133
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 5.082e-07
# f(x) = 366300*x^5-4144771855*x^4-115196224258804*x^3-233352685870534959434*x^2-8156061122824296882724210*x+154153843575941967928687126308
# g(x) = 104787095680867133*x-4668323874418634123125747

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

cado log (extracts)
Info:Square Root: Factors: 44499231905146206033105252736533035298968978427169113294660197580418700609 18246472017063014578548110760764060705162320141280216561
Info:Square Root: Total cpu/real time for sqrt: 771.35/240.332
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 300.91/273.608
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 244.39999999999998s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 148.54/171.812
Info:Linear Algebra: Total cpu/real time for bwc: 51088.1/13104.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 32707.78, WCT time 8350.95, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (55296 iterations)
Info:Linear Algebra: Lingen CPU time 346.25, WCT time 87.95
Info:Linear Algebra: Mksol: CPU time 17708.75,  WCT time 4540.99, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27648 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23241069
Info:Lattice Sieving: Average J: 7652.62 for 55367 special-q, max bucket fill -bkmult 1.0,1s:1.066920
Info:Lattice Sieving: Total time: 77918.8s
Info:Generate Factor Base: Total cpu/real time for makefb: 40.61/10.7567
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5093.72
Info:Polynomial Selection (root optimized): Rootsieve time: 5091.29
Info:Generate Free Relations: Total cpu/real time for freerel: 250.88/63.9638
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 98.12/114.06
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 113.80000000000001s
Info:Filtering - Merging: Merged matrix has 1763474 rows and total weight 302198830 (171.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 451.16/126.942
Info:Filtering - Merging: Total cpu/real time for replay: 71.54/60.738
Info:Quadratic Characters: Total cpu/real time for characters: 69.29/29.1021
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38983/38.430/46.003/49.460/0.848
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30908/37.650/41.268/46.790/0.963
Info:Polynomial Selection (size optimized): Total time: 4832.11
Info:Square Root: Total cpu/real time for sqrt: 771.35/240.332
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 210003/56514.5
Info:root: Cleaning up computation data in /tmp/cado.o9_lmdb4
44499231905146206033105252736533035298968978427169113294660197580418700609 18246472017063014578548110760764060705162320141280216561

cado-nfs-3.0.0

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

17399704982846376635128459375882157204712680244886016123336350931955034698600195269401319231866164262663829074237019767933441240241445388906207196995165533276597179518179247808641<179>

40933549864550394483873056273744044349<38>
425071977398056320296070491952770924920916068397237329228259230986557129923898155793229079131110847350694608910229034062149775790258736015509<141>

Resuming ECM residue saved by @038b267096ce with GMP-ECM 7.0.5-dev on Sun Aug 27 14:36:58 2023 
Input number is 17399704982846376635128459375882157204712680244886016123336350931955034698600195269401319231866164262663829074237019767933441240241445388906207196995165533276597179518179247808641 (179 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2463637515
Step 1 took 0ms
Step 2 took 4224ms
********** Factor found in step 2: 40933549864550394483873056273744044349
Found prime factor of 38 digits: 40933549864550394483873056273744044349
Prime cofactor 425071977398056320296070491952770924920916068397237329228259230986557129923898155793229079131110847350694608910229034062149775790258736015509 has 141 digits

320281783913487085938208435781800828368798869245161893433843095155117472352175443955592129955935231816952554857763860644595114781985190570664070249005074664689994256947262201284690270499985887583896311975275847690798364401<222>

347286106044442480055909447330848287931264270534162393164900255028772550504406394590587971394021609987725994359493332012842521693239555731271223028318411941984948221<165>

198426003112604953442931431729<30>
1750204613290329549503388816792935994199301150141493282391103565251468555870699758975846575843197354206771369331296262534887027366801549<136>

198426003112604953442931431729

1961914337915220776672838522188024965359949971184383161870194842617684205363383321275734798229372310031513249052763233725307468762645151006094196412149154537540004659546552548649344597991490196559292729881181562910009441712751217<229>

18203204184503802572623206333983337897360007863535933848780722377012757769800549099893922653218469771276954854838408675011803112016786886728754623991079558440146625662908729565630257440366945282951091940201<206>

6466088230253884386602629039823494285531938760722912615429315708460297738768895380533648455288174075877360250043082452205004252117121552101339989833367607543241650343569<169>

218923875301048599628854667875646599622496048998531723439727224817699628083404655467175558650465539717660740398451491519366196323543185138571734833150448985529168375883206195136844433718772268499129<198>

344607547708295452183645668771914661217067286209462537980660779210154795630589126819745546304518172449989138937138340149703627794965643070522973530563431390064913320974399007029442410869<186>

152134639155652752686127222591993914614433773889892554911096320243415422649044404297803556147190263383094038223828087857754112389464676238471046876485689835504421412950461158124940572406579823143481981553675002377103736807074260720737853<237>

2753157539197763464048370626904824106133219747808620914170215238505993828290141026085247389369628109462388571134216213689330091788107858810585849709285172624595962079605781238940988280016855697011304170422954434202566151471134976727<232>

75526099378105950155241491783666914005860976686973658918629393433515879738269148982961455038861591339050233335307776315414197356384328918262674260127576592794616943966676918590963634866308809<191>

38645409852237486172959172173212678139665676408288834997398100845224511072097705731943895730347017175646128355743981613507315820125931834563618930671933993763133626942920445080250001518700202055359397349507454777<212>

721738508700901820031819859419548637641476614867569780687959505080755629064332195739550576750681202949470740636241009113751460979596443337396599762266073719134609909549109537691587712975115285068277085489<204>

9662314244558797290166287812605089005342731194905214549891875137877288763970130511167280059194071931902543344337674256952694054147088533340406279089901240434671445279217437001290985407239240924945882793490555102262950993620417917248201<235>

12846849035638124992858685154509<32>
752115496784838928727362914319818600345089725131943453893369116800922929374223453198457218401655179441130259482837677003145641793442457431735376019103555897245246187961537856139573311029180484583588894189<204>

12846849035638124992858685154509

3013507887631469639314011420884476952244006591856741097174954047636721960733337626970762134200420322603260128560081272288233113385237069549006216494067723660057664537587247189606449704393849502892212593883395760621248251<220>

32132430173966291824183<23>
93784001748894018367930025208834139795557288719078932454808377202643923153620382094965258544598000946978990843121555571845254726906151912220379431522537756275025174268469770586073081488191161717597<197>

32132430173966291824183

22404868428483575118906895523395692384708240241945939938007392224973743561352588564141736195866396412378834114829691555992272689474952412028882319552541631389671963745823022808671980040194212239368959904821<206>

83862685808612130662560438637042015588934334684085323864730129722431846769608711889775261124779949984198349627898877407759150175300428180301381392068164297366278190628463374923788261047208208599526763607730563239451009<218>

26014722133963868829185021714858825894573386599669936521140776909578987282802962559814081193615213057003016512698975630046026321494760175141681109229860788661730720558836122481425270030417188681<194>

1486068507820135154922266349615289<34>

17505735433505690856685804504868704186256210030660376898743533528376021181021499880546422586199096865281002154259579511638290505627440949494605195968533157587729<161>

1486068507820135154922266349615289

17505735433505690856685804504868704186256210030660376898743533528376021181021499880546422586199096865281002154259579511638290505627440949494605195968533157587729<161>

257715746462498408550608974426706305245136802149<48>

67926526313567897160189770781374433426651761426566816139856178735026128083875988033332199050239650324377145167421<113>

GMP-ECM 7.0.5-dev [configured with GMP 6.1.0, --enable-assert] [ECM]
Tuned for default
Running on RPi3-4
Input number is 17505735433505690856685804504868704186256210030660376898743533528376021181021499880546422586199096865281002154259579511638290505627440949494605195968533157587729 (161 digits)
[Sat Nov  9 03:42:33 2024]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=0:4908410365857282570
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35        40      45      50      55      60      65      70      75      80
55      246     1286    7557    49831   361851  2844041 2.4e+07 2.2e+08 2.2e+09
Writing checkpoint to checkpnt at p = 22924189
Writing checkpoint to checkpnt at p = 43000000
Step 1 took 1126354ms
Using 20 small primes for NTT
Estimated memory usage: 231.75MB
Initializing tables of differences for F took 396ms
Computing roots of F took 17092ms
Building F from its roots took 16219ms
Computing 1/F took 8079ms
Initializing table of differences for G took 544ms
Computing roots of G took 13803ms
Building G from its roots took 17433ms
Computing roots of G took 13803ms
Building G from its roots took 17421ms
Computing G * H took 4333ms
Reducing  G * H mod F took 4497ms
Computing roots of G took 13791ms
Building G from its roots took 17412ms
Computing G * H took 4330ms
Reducing  G * H mod F took 4508ms
Computing roots of G took 13788ms
Building G from its roots took 17431ms
Computing G * H took 4296ms
Reducing  G * H mod F took 4498ms
Computing roots of G took 13791ms
Building G from its roots took 17408ms
Computing G * H took 4293ms
Reducing  G * H mod F took 4510ms
Computing polyeval(F,G) took 31697ms
Computing product of all F(g_i) took 164ms
Step 2 took 266788ms
********** Factor found in step 2: 257715746462498408550608974426706305245136802149
Found prime factor of 48 digits: 257715746462498408550608974426706305245136802149
Composite cofactor 67926526313567897160189770781374433426651761426566816139856178735026128083875988033332199050239650324377145167421 has 113 digits
Peak memory usage: 279MB

GMP-ECM 7.0.5-dev [configured with GMP 6.1.0, --enable-assert]

67926526313567897160189770781374433426651761426566816139856178735026128083875988033332199050239650324377145167421<113>

13848943348065319373850433591248121737586986354565671581<56>
4904816534111763168094254851290203338875709907135738564641<58>

N=67926526313567897160189770781374433426651761426566816139856178735026128083875988033332199050239650324377145167421
  ( 113 digits)
Divisors found:
 r1=13848943348065319373850433591248121737586986354565671581 (pp56)
 r2=4904816534111763168094254851290203338875709907135738564641 (pp58)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.22 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 67926526313567897160189770781374433426651761426566816139856178735026128083875988033332199050239650324377145167421
skew: 30785.04
c0: 44613118556712495874648095
c1: -17096932644417008392051
c2: -1629946794230290365
c3: 28667442991191
c4: 555868562
c5: 9768
Y0: -5867288975074533381016
Y1: 11006025795979
rlim: 3980000
alim: 3980000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 3980000/3980000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [1990000, 2090001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 396782 x 397010
Total sieving time: 0.00 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3980000,3980000,27,27,54,54,2.5,2.5,100000
total time: 0.22 hours.
 --------- CPU info (if available) ----------

1088881554797548594866238321891600270556841608032200934115902807760486345877484678167798011097928202826898092993818810545574882994058252002243206805613801999588889612609038771632000951437590565663933959674128347585111051997<223>

13593691504032633746695866577982005736489<41>

80101976308240234966976848367170124965078293474968878888116995165291259468039028318250790512273121854618781811587649803253724611973392680606553954827873282745631970527967181253114773<182>

Run 59 out of 610:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2147097472
Step 1 took 20671ms
Step 2 took 8406ms
********** Factor found in step 2: 13593691504032633746695866577982005736489
Found prime factor of 41 digits: 13593691504032633746695866577982005736489
Composite cofactor 80101976308240234966976848367170124965078293474968878888116995165291259468039028318250790512273121854618781811587649803253724611973392680606553954827873282745631970527967181253114773 has 182 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

2172256782908033041511408048858989571567971974270787516434023965711061263049105081818380517368732509514727510429873761739370401139257768244122672627244241329438063922387252370836578230479530887325090919862752057953<214>

373004207892946315637371573535105914877552713143926184877316583996836135372004579903478619020748731274635078843777991433263936969007702806423798795841231791197217218314599582424591971197595169114631694970220966227661352584270024230581<234>

3513468907392571924725744145438858771450142222930131376405291997727872617300403075592901797332777227608745012538491744638802774487634799790903383506958412433514810175528258426077487570363475914646559307106000377250617599959209748738035056321<241>

80634134770177908843516881916111960441815090003251<50>

43572972134029880750524057084760787370393476538482647601935823871526558304419983072885595871596934797892318619277524595303828801513093030001589698674508212154852207132351536524170281243200571<191>

04/08/22 02:01:40 v1.34.5 @ DESKTOP-RJPVCOL, Starting factorization of 3513468907392571924725744145438858771450142222930131376405291997727872617300403075592901797332777227608745012538491744638802774487634799790903383506958412433514810175528258426077487570363475914646559307106000377250617599959209748738035056321
04/08/22 02:01:40 v1.34.5 @ DESKTOP-RJPVCOL, using pretesting plan: normal
04/08/22 02:01:40 v1.34.5 @ DESKTOP-RJPVCOL, no tune info: using qs/gnfs crossover of 95 digits
04/08/22 02:01:40 v1.34.5 @ DESKTOP-RJPVCOL, input indicated to have been pretested to t45.10
04/08/22 02:01:40 v1.34.5 @ DESKTOP-RJPVCOL, ****************************
04/08/22 02:01:40 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 3, starting 1000 iterations on C241
04/08/22 02:01:40 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 2, starting 1000 iterations on C241
04/08/22 02:01:40 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 1, starting 1000 iterations on C241
04/08/22 02:01:40 v1.34.5 @ DESKTOP-RJPVCOL, nfs: input divides 10^263 + 625
04/08/22 02:01:40 v1.34.5 @ DESKTOP-RJPVCOL, nfs: using supplied cofactor: 3513468907392571924725744145438858771450142222930131376405291997727872617300403075592901797332777227608745012538491744638802774487634799790903383506958412433514810175528258426077487570363475914646559307106000377250617599959209748738035056321
04/08/22 02:01:40 v1.34.5 @ DESKTOP-RJPVCOL, nfs: input divides 10^263 + 625
04/08/22 02:01:40 v1.34.5 @ DESKTOP-RJPVCOL, nfs: using supplied cofactor: 3513468907392571924725744145438858771450142222930131376405291997727872617300403075592901797332777227608745012538491744638802774487634799790903383506958412433514810175528258426077487570363475914646559307106000377250617599959209748738035056321
04/08/22 02:01:40 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing snfs on c241: 3513468907392571924725744145438858771450142222930131376405291997727872617300403075592901797332777227608745012538491744638802774487634799790903383506958412433514810175528258426077487570363475914646559307106000377250617599959209748738035056321
04/08/22 02:01:40 v1.34.5 @ DESKTOP-RJPVCOL, current ECM pretesting depth: 45.67
04/08/22 02:01:40 v1.34.5 @ DESKTOP-RJPVCOL, scheduled 7552 curves at B1=43000000 toward target pretesting depth of 57.68
04/08/22 13:28:05 v1.34.5 @ DESKTOP-RJPVCOL, prp50 = 80634134770177908843516881916111960441815090003251 (curve 214 stg2 B1=43000000 sigma=3692658400 thread=0)

82229342184175658997854413931666157257224033649010735587693055757725444165132903106307736017361702052933090408066536483552763061527477450690553889812168983066627191562858822462373053081532742051831078500325824956090931908071418514899<233>

1079971754294393465907817624479910731990010436616228744408139958738964660768665965011584904657357341071376148034814053434743037697493955133196201116199613309819856416066314449904598704854652953030213905881<205>

414501274981699425450689626146515351653284694641481892855190824453250804395487476637616837893382626080563276601055908371599946395969742135412326722278839886878322331830040747939022654225997762812786667867418139274694161445375665916084217398081545044632167<255>

3247938802102897087970706167<28>
127619792193537678751666312789320101653850514921128368638485537092094403477326728089993723540624118708090328788120529109509603622764400219817082769656987371897572005302369859639542741482640417753536346216793769608577925028778001<228>

3247938802102897087970706167

2830355563417654342826817618963382274898284096939678047054661241818503449495842915266230320183973111622147532283743145232619847868388466301079073058552980718202724217229789492304970811958252255439589598443304440120290111445250309570139748805943746683177074119936317<265>

894856623348030888301133599672813365036552377801045665395883166676285908490235520498855270015527653985993602209067885430775341619916309945653311373025187945889844092138353172095061189724602109337<195>

52831899685407237761381473737291884073407919283371901288414424842166074457050692371047071000783834140566882804075163531077975432626725904810291938777867525959946575898613632459224885925582544361<194>

1926937356273385569777992921614141568147649737978599014202163789392855764696226226380172177063268878853051359919874351766373738923440897399925698720610873769622842783743327207578469685439202330002407992125359583966122455153<223>

38533635317381594502493053595790377073<38>

50006632916987994485427805564276281517236068766282332796356895290441613377556035174590632804874626061445413992341451197327514057353152520401026486782934672504569898322493400130198056961<185>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:521596677
Step 1 took 42281ms
Step 2 took 17141ms
********** Factor found in step 2: 38533635317381594502493053595790377073
Found prime factor of 38 digits: 38533635317381594502493053595790377073
Composite cofactor 50006632916987994485427805564276281517236068766282332796356895290441613377556035174590632804874626061445413992341451197327514057353152520401026486782934672504569898322493400130198056961 has 185 digits

2015302854227433541828034952984887201365781751224116947848591421053452892422960784685564310345737767649708765535317613096010697673393882787903085103099513495428882045446761980011413626584246482448685403576025153087747860885621161155177207556555410969<250>

528499710403284963655818611661374670302599485141743587189770963828973596864619795066291476526161729784050498607728226286249521724769470998281612344426885921604719662033530970140783009519797875799005994190210877170645137924374963969141<234>

852712995598941261252292548652748921010971385451724918460989585816313426533490541164998905987724846692498879195257298869879277048124616218352735039353136564352360514928932234669268091<183>

1100274686001749397201419913749045694581651<43>
775000103562852920384300789436917092022548263753161084185533612158733202168623031103618058276949986734983781408169153476900575185869704760441<141>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2506520535
Step 1 took 31110ms
Step 2 took 13937ms
********** Factor found in step 2: 1100274686001749397201419913749045694581651
Found prime factor of 43 digits: 1100274686001749397201419913749045694581651
Prime cofactor 775000103562852920384300789436917092022548263753161084185533612158733202168623031103618058276949986734983781408169153476900575185869704760441 has 141 digits
 

GMP-ECM

49568615488904199688877403245178025389791266056523979788128299081677099713707984458355823762108908043080999297431479836995886699443326217003165452060639644449<158>

387409200968523002421307506053268765133171912832929782082324455205811138014527845036319612590799031476997578692493946731234866828087167070217917675544794188861985472154963680387409200968523002421307506053268765133171912832929782082324455205811138014527845036319612590799031477<276>

32263122207707652172330141073544731<35>

12007802545408052201695523908449465263856670895088135484248010829499276108068888628692554813310215302923766962589630061086632917029587122810126429430411479843389359539822579808210095124435910215909752952164547037849803155028663770107006899567<242>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2228584193
Step 1 took 62875ms
Step 2 took 22796ms
********** Factor found in step 2: 32263122207707652172330141073544731
Found prime factor of 35 digits: 32263122207707652172330141073544731
Composite cofactor 12007802545408052201695523908449465263856670895088135484248010829499276108068888628692554813310215302923766962589630061086632917029587122810126429430411479843389359539822579808210095124435910215909752952164547037849803155028663770107006899567 has 242 digits

12007802545408052201695523908449465263856670895088135484248010829499276108068888628692554813310215302923766962589630061086632917029587122810126429430411479843389359539822579808210095124435910215909752952164547037849803155028663770107006899567<242>

84051483908247511835256644935129<32>
142862469370749471024464301149252899961615297496326723885151377090841749393294526480566157369268980552335648961084292249784760992778105323725233705182768368631438099245552468259949994551585268350973482760460423<210>

84051483908247511835256644935129

14356289871292987808788318458912467695576742658469647178112787970265831171088623440838882459860712133186311371150374306355970525329469806572712735914690414897331582075968954467896855700156337527303556718919064978606378759386819608171427707196500589363889015389164423<266>

77723195202557661468399095026993458001097935567139754815687328621158687630856168879996045569716702890145543643887648584005829531977675108081290832585192206642863607919461388890967805632156791071141691391267689326283095067635096019691192767508461564005136437920476721<266>

116622754500840072081001777986821498079169<42>

666449661005029646378277493709680005103484943761749294138532016874254772992922314583360307198325523716799318201166649302625766478968847102184070170910598915019055181444401803147618922046889688155398695515554805635550776541809<225>

Resuming ECM residue saved by @038b267096ce with GMP-ECM 7.0.5-dev on Sun Aug 27 14:04:22 2023 
Input number is 77723195202557661468399095026993458001097935567139754815687328621158687630856168879996045569716702890145543643887648584005829531977675108081290832585192206642863607919461388890967805632156791071141691391267689326283095067635096019691192767508461564005136437920476721 (266 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2330628387
Step 1 took 0ms
Step 2 took 6640ms
********** Factor found in step 2: 116622754500840072081001777986821498079169
Found prime factor of 42 digits: 116622754500840072081001777986821498079169
Composite cofactor 666449661005029646378277493709680005103484943761749294138532016874254772992922314583360307198325523716799318201166649302625766478968847102184070170910598915019055181444401803147618922046889688155398695515554805635550776541809 has 225 digits

46441228437092280282657325682988290529928428330359278446844512442067560107379096439453590402664367757615696182697863497452634533618849930813907261616290534345878522612598850347738316383397079139174948902360399222141635529<221>

821624067034379675525607063556387140486506644638470207168735084163922991294712395671717612439211612738790847632896723721298903749655725397852361618108786740227430375779675610991145574182078426025371387354965049801<213>

126941434024547462751154079634642367329109115402605314092526561126731545051265380600302733920036135969412730676942057302839401707283235384710990880734839223447328548085199278473426202121510284671805638289<204>

45893768214691470434828387140588734180823319265002153300832882958962088411817086867150744040776310285086591909180074482822683414169351694601016438540818757253894078753574216398203054001859413316683457065598709436319527384560591498000480498579846917262620058383649<263>

42231131997974965150172722034995064309721354505666888242606873019468208058492546507032436446716982571975111251814665204762141406375533065205965523355757252936976315415640762372359584205101228146916099677981798790394928185424605788347502114335564059385199188201110514323941<272>

771961990829178954761296386693993685153955615215168401220896917051474689530596707987554692457279827217225083580341691170332989542698695281533350809963969314048172876832182275011861832622300681268607788960217338106937658779457360200991634167560976894443742185789229417053<270>

137457506208607419908318710869786002590841817544869939476400362828864189429134454127482256306457539788413357275393958112996302695405426942829563500324476157425578432490801760788778175251161974856282929518096535509029576979932395013714094081<240>

3110744386570285352562880189576549729<37>

44187978543669278194914113217384878310808420696267730669136638183061930833237694917568649925770571324623518857099842334218560171075017297063256325852178872860308419141014104077323765199568295784301065889<203>

Run 207 out of 610:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3047820910
Step 1 took 24151ms
Step 2 took 9362ms
********** Factor found in step 2: 3110744386570285352562880189576549729
Found prime factor of 37 digits: 3110744386570285352562880189576549729
Composite cofactor 44187978543669278194914113217384878310808420696267730669136638183061930833237694917568649925770571324623518857099842334218560171075017297063256325852178872860308419141014104077323765199568295784301065889 has 203 digits

GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]

Intel(R) Xeon(R) CPU E5-2695 v4 @ 2.10GHz

1876604948155853075817774079032981921896287637278629399992578791842032469548767703339970988778261981097042185113157954555411475566160647175800266861046561126299372739060128543588610594790995605260037680870754858169421543342346133<229>

18444695278651049652074873143080263<35>
101742258129248873680493376712085817714731824923780857863926655253038592842693157423501085232615899065247808956917479369454322095568223850558692490643280381208993797456285250056418984598255399491<195>

Run 159 out of 610:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3562109163
Step 1 took 20574ms
Step 2 took 8393ms
********** Factor found in step 2: 18444695278651049652074873143080263
Found prime factor of 35 digits: 18444695278651049652074873143080263
Prime cofactor 101742258129248873680493376712085817714731824923780857863926655253038592842693157423501085232615899065247808956917479369454322095568223850558692490643280381208993797456285250056418984598255399491 has 195 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

560628081330452170700860011273200471563594308411065513637232148399427125288417181110515095255838842703555729462827451380505079877271144580143460801012804089555226369408895112326421699389297651887604054431967219486804864834212024868420386450822811089<249>

81023572906023142513117425329<29>

6919320652283603705634650477835163127670586903781713553135202228964535643775934576219691071364748056722602586098915915328712865660773023272973817681361074731012704885833818970199356137284648011615830953080003847745329441<220>

GPU: factor 81023572906023142513117425329 found in Step 1 with curve 424 (-sigma 3:1559689395)
GPU: factor 81023572906023142513117425329 found in Step 1 with curve 1088 (-sigma 3:1559690059)
GPU: factor 81023572906023142513117425329 found in Step 1 with curve 1452 (-sigma 3:1559690423)
GPU: factor 81023572906023142513117425329 found in Step 1 with curve 1459 (-sigma 3:1559690430)
Computing 1792 Step 1 took 323ms of CPU time / 267755ms of GPU time
Throughput: 6.693 curves per second (on average 149.42ms per Step 1)
********** Factor found in step 1: 81023572906023142513117425329
Found prime factor of 29 digits: 81023572906023142513117425329
Composite cofactor 6919320652283603705634650477835163127670586903781713553135202228964535643775934576219691071364748056722602586098915915328712865660773023272973817681361074731012704885833818970199356137284648011615830953080003847745329441 has 220 digits
Peak memory usage: 9426MB

6919320652283603705634650477835163127670586903781713553135202228964535643775934576219691071364748056722602586098915915328712865660773023272973817681361074731012704885833818970199356137284648011615830953080003847745329441<220>

559169678098898144530315350323017<33>

12374277295951320595680542172347197617437471279769428932834779968039688593584192166183223846154266864396936302550558960067508317923876399250908429369814863952764085360970896773268537467673<188>

Resuming ECM residue saved by @038b267096ce with GMP-ECM 7.0.5-dev on Sun Aug 27 14:54:45 2023 
Input number is 6919320652283603705634650477835163127670586903781713553135202228964535643775934576219691071364748056722602586098915915328712865660773023272973817681361074731012704885833818970199356137284648011615830953080003847745329441 (220 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1559688977
Step 1 took 0ms
Step 2 took 5264ms
********** Factor found in step 2: 559169678098898144530315350323017
Found prime factor of 33 digits: 559169678098898144530315350323017
Composite cofactor 12374277295951320595680542172347197617437471279769428932834779968039688593584192166183223846154266864396936302550558960067508317923876399250908429369814863952764085360970896773268537467673 has 188 digits

12374277295951320595680542172347197617437471279769428932834779968039688593584192166183223846154266864396936302550558960067508317923876399250908429369814863952764085360970896773268537467673<188>

2329754740508872123210230528357830017598700961<46>
5311407712061782638977899486559417712671707900488310820709334781497248793713096727690302174225108883456706713990291286031281634609438521590393<142>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 12374277295951320595680542172347197617437471279769428932834779968039688593584192166183223846154266864396936302550558960067508317923876399250908429369814863952764085360970896773268537467673 (188 digits)
Using B1=50890000, B2=288592384096, polynomial Dickson(12), sigma=1:432991386
Step 1 took 139329ms
Step 2 took 46529ms
********** Factor found in step 2: 2329754740508872123210230528357830017598700961
Found prime factor of 46 digits: 2329754740508872123210230528357830017598700961
Prime cofactor 5311407712061782638977899486559417712671707900488310820709334781497248793713096727690302174225108883456706713990291286031281634609438521590393 has 142 digits

53177810001259887115379252101645513239337355734748693293570454214584351238314924959053089840500594924269680298162477785539063985873614303075827445515266723314490802153075532301234260335723875105293222289788847154834899097731369561318812840846821733409177218942601<263>

1004131050026842134531021393487601<34>

52959033584150548487949459377186067247952359952820144970246642656295489037180111355151388153347863806667304082761420084340095464991472418992249925814268267040087047835198684350306083129339474039730972235661494542690078729767455001<230>

Run 187 out of 610:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3337319177
Step 1 took 26248ms
Step 2 took 10080ms
********** Factor found in step 2: 1004131050026842134531021393487601
Found prime factor of 34 digits: 1004131050026842134531021393487601
Composite cofactor 52959033584150548487949459377186067247952359952820144970246642656295489037180111355151388153347863806667304082761420084340095464991472418992249925814268267040087047835198684350306083129339474039730972235661494542690078729767455001 has 230 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

1637294973629723931295187029040727972870571845013373275276290158321435009878718535568183567411718563405462475970699657511661748802225147707293816645566240371808611613114769360969411352524481347712103131176213661072863271589818910574810683826118932137994696313809774492721404207235531293<286>

179701563553860098890215037827063840134419580950425277412957859002876753305869222642029668477082118143040346617572156358699546209017757554586809010711137176706675341340359681802618610912052655676872872644606072804131341831402485972092991330266085907082594079662857329<267>

576937379308719795848252209441<30>

311474988445325890464686485637214608924267978281191054254487878409782952039934749560948849740102660024117077793883826443067231862915973045044741476861547314916440240648881445152323565709317917745273516210496915250450077263470610497349969<237>

 prp30 = 576937379308719795848252209441 (curve 2 stg2 B1=110000000 sigma=3789609198 thread=3)

1096664498733768940165995697753328753474514273351216221280827700887395714349442431318942830000513552116494815669906759363999736714735258287687994540365357885042823080918958968983529824739533098430330410846702478912602800721599364940807630931531531747093168600902987827047<271>

4405332449104681821564516758328554339<37>

248940235817310373167693544398562853640168322200975909125014488547210455814591425760257936227036435304843546971194901443909367286385358595307620322675730531889186596669589819624524332475012214309131419018316979137824745911885662057773<234>

prp37 = 4405332449104681821564516758328554339 (curve 14 stg2 B1=110000000 sigma=2244803513 thread=6)

1383067816766705867834991699941034095911357917761110136463805383415831285968755817991295826780245461919951199365380294752072233056990635148258265744199739285693374716460659231405537028023939084134523901497443127380656420717097770845636625470579900142610125746203081302241393758781<280>

123076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923077<300>

26222740883171113238891613240456677087<38>
4693518638088277438405235544444345895823974834100591138169369925384112327160952613108248969901918266103031148647927658842748067345102538886274877490644142959132511321491155578653106942215990547311010970655004708924294127651622099666348285640631269284656383447771<262>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3551832109
Step 1 took 14621ms
Step 2 took 5652ms
********** Factor found in step 2: 26222740883171113238891613240456677087
Found prime factor of 38 digits: 26222740883171113238891613240456677087
Prime cofactor 4693518638088277438405235544444345895823974834100591138169369925384112327160952613108248969901918266103031148647927658842748067345102538886274877490644142959132511321491155578653106942215990547311010970655004708924294127651622099666348285640631269284656383447771 has 262 digits