590917736078430611522349903589018788624653445106453361750194667093980522852104171735194289025234086033012596418131<114>

10657392805004536412457809741186967230622319<44>
55446744517190485803791026421293455434760384688791485166864847004435549<71>

Number: 1
N=590917736078430611522349903589018788624653445106453361750194667093980522852104171735194289025234086033012596418131
  ( 114 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=10657392805004536412457809741186967230622319 (pp44)
 r2=55446744517190485803791026421293455434760384688791485166864847004435549 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.59 hours.
Scaled time: 19.95 units (timescale=7.710).
Factorization parameters were as follows:
n: 590917736078430611522349903589018788624653445106453361750194667093980522852104171735194289025234086033012596418131
m: 50000000000000000000000000000000
deg: 4
c4: 52
c0: 17
skew: 0.76
# Murphy_E = 1.434e-08
type: snfs
lss: 1
rlim: 970000
alim: 970000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 970000/970000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [485000, 1085001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 118165 x 118390
Total sieving time: 2.57 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,128.000,4,0,0,0,0,0,0,0,0,970000,970000,26,26,47,47,2.3,2.3,100000
total time: 2.59 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

60842112135374494686996851786468091059545107455727254947747100366883941438991038638278514725363873266952233273369<113>

15826253031026552939444661925740389770460596844971<50>
3844378831558971750947744988075557485014825047808868399727454539<64>

60842112135374494686996851786468091059545107455727254947747100366883941438991038638278514725363873266952233273369=15826253031026552939444661925740389770460596844971*3844378831558971750947744988075557485014825047808868399727454539

cado polynomial
n: 60842112135374494686996851786468091059545107455727254947747100366883941438991038638278514725363873266952233273369
skew: 33242.054
c0: 167130026359185811163520600
c1: -92878361954755293272571
c2: -1297056393167537842
c3: 92666308540901
c4: 690370032
c5: -23760
Y0: -10241502743003219576309
Y1: 6415865714063
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.309e-06
# f(x) = -23760*x^5+690370032*x^4+92666308540901*x^3-1297056393167537842*x^2-92878361954755293272571*x+167130026359185811163520600
# g(x) = 6415865714063*x-10241502743003219576309

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 4500000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 52
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: 3844378831558971750947744988075557485014825047808868399727454539 15826253031026552939444661925740389770460596844971
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21600/32.130/40.147/45.340/1.051
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16660/32.270/35.551/40.630/0.823
Info:Polynomial Selection (size optimized): Total time: 2295.64
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 370.58
Info:Polynomial Selection (root optimized): Rootsieve time: 352.97
Info:Generate Factor Base: Total cpu/real time for makefb: 4.38/0.674759
Info:Generate Free Relations: Total cpu/real time for freerel: 65.43/8.24551
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6591082
Info:Lattice Sieving: Average J: 1914.23 for 99101 special-q, max bucket fill -bkmult 1.0,1s:1.256930
Info:Lattice Sieving: Total time: 19653.6s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 15.4/22.767
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 22.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 123.26/105.014
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 91.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 97.06/89.275
Info:Filtering - Merging: Merged matrix has 403629 rows and total weight 62783015 (155.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 67.58/10.4059
Info:Filtering - Merging: Total cpu/real time for replay: 12.35/9.96467
Info:Linear Algebra: Total cpu/real time for bwc: 1385.92/364.95
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 221.01, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12672 iterations)
Info:Linear Algebra: Lingen CPU time 37.43, WCT time 10.17
Info:Linear Algebra: Mksol: WCT time 126.16, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6400 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 16.81/4.2276
Info:Square Root: Total cpu/real time for sqrt: 579.67/77.8655
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 55746.3/5955.97
Info:root: Cleaning up computation data in /tmp/cado._pz8i7wl
3844378831558971750947744988075557485014825047808868399727454539 15826253031026552939444661925740389770460596844971

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)

501181054335645056136974152700514653693506403130705486229147207656502692981419471230271854017127879562684605383665140378273<123>

2531551508088963773180074494163541631233683<43>
197973872044175904434670896966938666401495396899957975685516668682293775852932731<81>

501181054335645056136974152700514653693506403130705486229147207656502692981419471230271854017127879562684605383665140378273=2531551508088963773180074494163541631233683*197973872044175904434670896966938666401495396899957975685516668682293775852932731

cado polynomial
n: 501181054335645056136974152700514653693506403130705486229147207656502692981419471230271854017127879562684605383665140378273
skew: 172240.918
c0: 94065894171679608361109761632
c1: 3655399103933228387496216
c2: 19514564968411496940
c3: -293542806613606
c4: 110875949
c5: 1860
Y0: -769298292162034315890973
Y1: 233745527139883
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 3.259e-07
# f(x) = 1860*x^5+110875949*x^4-293542806613606*x^3+19514564968411496940*x^2+3655399103933228387496216*x+94065894171679608361109761632
# g(x) = 233745527139883*x-769298292162034315890973

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

cado log (extracts)
Info:Square Root: Factors: 2531551508088963773180074494163541631233683 197973872044175904434670896966938666401495396899957975685516668682293775852932731
Info:Square Root: Total cpu/real time for sqrt: 227.09/81.015
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20061/36.000/43.695/49.200/0.894
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15692/34.950/39.061/44.430/0.873
Info:Polynomial Selection (size optimized): Total time: 1985.34
Info:Generate Free Relations: Total cpu/real time for freerel: 126.82/40.837
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 131.5/146.605
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 137.5s
Info:Quadratic Characters: Total cpu/real time for characters: 25.48/12.9867
Info:Square Root: Total cpu/real time for sqrt: 227.09/81.015
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.69/61.4745
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 61.3s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 56.92/75.8344
Info:Filtering - Merging: Merged matrix has 698425 rows and total weight 119363039 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 135.1/50.215
Info:Filtering - Merging: Total cpu/real time for replay: 25.94/21.9064
Info:Generate Factor Base: Total cpu/real time for makefb: 8.34/4.09845
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11638200
Info:Lattice Sieving: Average J: 3817.83 for 160229 special-q, max bucket fill -bkmult 1.0,1s:1.179720
Info:Lattice Sieving: Total time: 63406.4s
Info:Linear Algebra: Total cpu/real time for bwc: 10707.1/4068.38
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4606.37, WCT time 1835.77, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.02, comm-wait 0.0 (22016 iterations)
Info:Linear Algebra: Lingen CPU time 3490.17, WCT time 1183.14
Info:Linear Algebra: Mksol: CPU time 2505.34,  WCT time 999.01, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (11008 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2459.7
Info:Polynomial Selection (root optimized): Rootsieve time: 2457.04
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 105477/38067.8
Info:root: Cleaning up computation data in /tmp/cado.jemyzj5i
2531551508088963773180074494163541631233683 197973872044175904434670896966938666401495396899957975685516668682293775852932731

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)

69784199286998743937807092177172065184114485343892202573270812876818561369048670061172423988208077450021827<107>

30618904022801396946753717267245041343<38>
2279121396214299254241278526805223161739140930455652172719153154056189<70>

69784199286998743937807092177172065184114485343892202573270812876818561369048670061172423988208077450021827=30618904022801396946753717267245041343*2279121396214299254241278526805223161739140930455652172719153154056189

cado polynomial
n: 69784199286998743937807092177172065184114485343892202573270812876818561369048670061172423988208077450021827
skew: 12261.406
c0: 1318429569402581817402252
c1: -295168501900354331760
c2: -91760897921759617
c3: 3393608036839
c4: 215030886
c5: 4560
Y0: -497136581043422660213
Y1: 83704669601827
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 2.612e-06
# f(x) = 4560*x^5+215030886*x^4+3393608036839*x^3-91760897921759617*x^2-295168501900354331760*x+1318429569402581817402252
# g(x) = 83704669601827*x-497136581043422660213

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: 2279121396214299254241278526805223161739140930455652172719153154056189 30618904022801396946753717267245041343
Info:Square Root: Total cpu/real time for sqrt: 74.12/25.9783
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): 10006/31.300/37.918/43.900/1.118
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7766/29.940/33.578/38.320/0.877
Info:Polynomial Selection (size optimized): Total time: 492.92
Info:Quadratic Characters: Total cpu/real time for characters: 9.74/4.80702
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 79.02/114.644
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 89.80000000000003s
Info:Generate Free Relations: Total cpu/real time for freerel: 62.79/20.422
Info:Square Root: Total cpu/real time for sqrt: 74.12/25.9783
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 21.7/24.6146
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 50.64/69.228
Info:Filtering - Merging: Merged matrix has 256211 rows and total weight 37471080 (146.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 37.23/14.052
Info:Filtering - Merging: Total cpu/real time for replay: 8.29/6.83812
Info:Generate Factor Base: Total cpu/real time for makefb: 1.48/0.732337
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5290869
Info:Lattice Sieving: Average J: 1893.09 for 76062 special-q, max bucket fill -bkmult 1.0,1s:1.334640
Info:Lattice Sieving: Total time: 8633.82s
Info:Linear Algebra: Total cpu/real time for bwc: 2435.39/917.82
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 486.93, WCT time 222.51, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (8064 iterations)
Info:Linear Algebra: Lingen CPU time 1656.39, WCT time 559.93
Info:Linear Algebra: Mksol: CPU time 272.48,  WCT time 125.16, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (4096 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 150.73
Info:Polynomial Selection (root optimized): Rootsieve time: 150.08
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 15313.7/5652.76
Info:root: Cleaning up computation data in /tmp/cado.3iuj7ty4
2279121396214299254241278526805223161739140930455652172719153154056189 30618904022801396946753717267245041343

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)

1515471938449627003378688279466963399088603680604685153403138745297961206215224236925956398293700544027738780134243406674237923<127>

70161628196684577566003770670493023<35>
21599725910027259305093525111058631312617777902154889858257472936105323152157687924399906301<92>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1515471938449627003378688279466963399088603680604685153403138745297961206215224236925956398293700544027738780134243406674237923 (127 digits)
Using B1=25800000, B2=96191014936, polynomial Dickson(12), sigma=1:3845147696
Step 1 took 41082ms
Step 2 took 14635ms
********** Factor found in step 2: 70161628196684577566003770670493023
Found prime factor of 35 digits: 70161628196684577566003770670493023
Prime cofactor 21599725910027259305093525111058631312617777902154889858257472936105323152157687924399906301 has 92 digits

6180908513393286434386778062403500178229582828847379268967559374192007567198821998229034154887799298649<103>

8660501640032964680332237577482744970590259<43>
713689433972529089012374814765978289510678644784188584806211<60>

6180908513393286434386778062403500178229582828847379268967559374192007567198821998229034154887799298649=8660501640032964680332237577482744970590259*713689433972529089012374814765978289510678644784188584806211

cado polynomial
n: 6180908513393286434386778062403500178229582828847379268967559374192007567198821998229034154887799298649
skew: 5896.885
c0: 176860205805475337047728
c1: -133986019098085472143
c2: -47386268664210018
c3: 4072365916927
c4: 218529234
c5: 32400
Y0: -59872406993673446678
Y1: 3511625344293223
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 4.023e-06
# f(x) = 32400*x^5+218529234*x^4+4072365916927*x^3-47386268664210018*x^2-133986019098085472143*x+176860205805475337047728
# g(x) = 3511625344293223*x-59872406993673446678

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: 713689433972529089012374814765978289510678644784188584806211 8660501640032964680332237577482744970590259
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 56.01/17.0277
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.19/14.705
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 14.6s
Info:Quadratic Characters: Total cpu/real time for characters: 7.08/2.85124
Info:Filtering - Singleton removal: Total cpu/real time for purge: 17.01/13.8694
Info:Filtering - Merging: Merged matrix has 195763 rows and total weight 28573294 (146.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 27.39/8.13196
Info:Filtering - Merging: Total cpu/real time for replay: 5.83/4.92925
Info:Generate Factor Base: Total cpu/real time for makefb: 1.43/0.391777
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4658440
Info:Lattice Sieving: Average J: 1887 for 37027 special-q, max bucket fill -bkmult 1.0,1s:1.297820
Info:Lattice Sieving: Total time: 3695.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 41.19/43.5508
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 33.900000000000006s
Info:Linear Algebra: Total cpu/real time for bwc: 513.67/149.38
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 306.56, WCT time 78.92, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6144 iterations)
Info:Linear Algebra: Lingen CPU time 19.43, WCT time 19.91
Info:Linear Algebra: Mksol: CPU time 171.39,  WCT time 44.43, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3072 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 142.22
Info:Polynomial Selection (root optimized): Rootsieve time: 141.61
Info:Generate Free Relations: Total cpu/real time for freerel: 61.17/16.8052
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 10121.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 6915/29.660/36.290/43.510/1.095
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 5151/27.870/32.173/36.680/0.829
Info:Polynomial Selection (size optimized): Total time: 432.9
Info:Square Root: Total cpu/real time for sqrt: 56.01/17.0277
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 8160.78/2340.88
Info:root: Cleaning up computation data in /tmp/cado.9psy68a_
713689433972529089012374814765978289510678644784188584806211 8660501640032964680332237577482744970590259

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)

228954237597874664905095467770995535929056708610769292068067327777749473045976774063242733537002894872730622070187261488542833645072798371<138>

312001649819678351662068645400365926297761651949<48>
733823804233724350092802688574300260506885563867915572162535870876682588437528971207625679<90>

Number: n
N=228954237597874664905095467770995535929056708610769292068067327777749473045976774063242733537002894872730622070187261488542833645072798371  ( 138 digits)
SNFS difficulty: 148 digits.
Divisors found:

Sat Nov 26 14:28:07 2022  p48 factor: 312001649819678351662068645400365926297761651949
Sat Nov 26 14:28:07 2022  p90 factor: 733823804233724350092802688574300260506885563867915572162535870876682588437528971207625679
Sat Nov 26 14:28:07 2022  elapsed time 00:04:11 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 65x10^147+34 = 72(146)6
#
n: 228954237597874664905095467770995535929056708610769292068067327777749473045976774063242733537002894872730622070187261488542833645072798371
m: 100000000000000000000000000000
deg: 5
c5: 3250
c0: 17
skew: 0.35
# Murphy_E = 1.811e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 669918 hash collisions in 6998332 relations (6783225 unique)
Msieve: matrix is 320388 x 320613 (109.1 MB)

Sieving start time : 2022/11/26 14:08:33
Sieving end time  : 2022/11/26 14:23:32

Total sieving time: 0hrs 14min 59secs.

Total relation processing time: 0hrs 1min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 33sec.

Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

26437768566740239908695724593787164776365626564794529296265816833922986121649336218671611856796914929929051153308631305927161913<128>

5986165964547818546916926005918158713<37>
4416477712665169853558791540124916436448697210230442459482568075668383675849429773747486401<91>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 26437768566740239908695724593787164776365626564794529296265816833922986121649336218671611856796914929929051153308631305927161913 (128 digits)
Using B1=25570000, B2=96191014936, polynomial Dickson(12), sigma=1:4215980279
Step 1 took 39839ms
Step 2 took 8442ms
********** Factor found in step 2: 5986165964547818546916926005918158713
Found prime factor of 37 digits: 5986165964547818546916926005918158713
Prime cofactor 4416477712665169853558791540124916436448697210230442459482568075668383675849429773747486401 has 91 digits

7069637614294303315012513048396266483736293512636970824817393630482351969092618329258065958746076499570462893474805766999425453182531609603161<142>

294437752508234126786604019209227587<36>
24010635708464717670204512053862486520015727010694838064660108734140711517242598324814914877424423806769203<107>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 7069637614294303315012513048396266483736293512636970824817393630482351969092618329258065958746076499570462893474805766999425453182531609603161 (142 digits)
Using B1=25560000, B2=96191014936, polynomial Dickson(12), sigma=1:213038277
Step 1 took 50652ms
Step 2 took 16963ms
********** Factor found in step 2: 294437752508234126786604019209227587
Found prime factor of 36 digits: 294437752508234126786604019209227587
Prime cofactor 24010635708464717670204512053862486520015727010694838064660108734140711517242598324814914877424423806769203 has 107 digits

29698989657870133150883299976662415087846328262251506378781738992746934615823192323003303589755182973966730013498639459388153611325997901585546391<146>

2508621225185864949358704584017639497678138220920670863583<58>
11838769982371380425373101669836107655273932940451639315253557251079900478750900057973577<89>

Number: n
N=29698989657870133150883299976662415087846328262251506378781738992746934615823192323003303589755182973966730013498639459388153611325997901585546391  ( 146 digits)
SNFS difficulty: 160 digits.
Divisors found:

Mon Nov 28 04:51:11 2022  p58 factor: 2508621225185864949358704584017639497678138220920670863583
Mon Nov 28 04:51:11 2022  p89 factor: 11838769982371380425373101669836107655273932940451639315253557251079900478750900057973577
Mon Nov 28 04:51:11 2022  elapsed time 00:06:58 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.297).
Factorization parameters were as follows:
#
# N = 65x10^159+34 = 72(158)6
#
n: 29698989657870133150883299976662415087846328262251506378781738992746934615823192323003303589755182973966730013498639459388153611325997901585546391
m: 50000000000000000000000000000000
deg: 5
c5: 104
c0: 17
skew: 0.70
# Murphy_E = 6.356e-10
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1251908 hash collisions in 14029638 relations (13700215 unique)
Msieve: matrix is 466717 x 466944 (158.5 MB)

Sieving start time : 2022/11/28 04:00:38
Sieving end time  : 2022/11/28 04:43:57

Total sieving time: 0hrs 43min 19secs.

Total relation processing time: 0hrs 3min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 25sec.

Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

363293079340011008431176632022934843625988237813074600821771043105416690725539938757551798316535423419101059121942747<117>

10305319697497593835905628156612092540279471713<47>
35252965459017078965383960590998848897904593908777791688235500085215419<71>

363293079340011008431176632022934843625988237813074600821771043105416690725539938757551798316535423419101059121942747=10305319697497593835905628156612092540279471713*35252965459017078965383960590998848897904593908777791688235500085215419

cado polynomial
n: 363293079340011008431176632022934843625988237813074600821771043105416690725539938757551798316535423419101059121942747
skew: 16341.831
c0: 2297973162260343069118959
c1: 13229941962178594628267
c2: -4088317330080533142
c3: -114951915476408
c4: 6202031724
c5: 138600
Y0: -35320586021873088357950
Y1: 1043932569057803
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 9.091e-07
# f(x) = 138600*x^5+6202031724*x^4-114951915476408*x^3-4088317330080533142*x^2+13229941962178594628267*x+2297973162260343069118959
# g(x) = 1043932569057803*x-35320586021873088357950

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 4500000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 52
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: 35252965459017078965383960590998848897904593908777791688235500085215419 10305319697497593835905628156612092540279471713
Info:Square Root: Total cpu/real time for sqrt: 145.88/50.7139
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21699/34.200/41.647/46.430/1.082
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17162/32.880/36.858/42.080/0.845
Info:Polynomial Selection (size optimized): Total time: 1794.02
Info:Quadratic Characters: Total cpu/real time for characters: 16.34/8.12613
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 132.35/191.576
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 152.40000000000003s
Info:Generate Free Relations: Total cpu/real time for freerel: 64.62/21.5147
Info:Square Root: Total cpu/real time for sqrt: 145.88/50.7139
Info:Generate Factor Base: Total cpu/real time for makefb: 4.15/2.03731
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 31.61/35.2043
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 33.900000000000006s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 101.63/140.42
Info:Filtering - Merging: Merged matrix has 457545 rows and total weight 71125725 (155.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 77.16/28.6186
Info:Filtering - Merging: Total cpu/real time for replay: 15.49/13.0082
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7450067
Info:Lattice Sieving: Average J: 1899.02 for 181434 special-q, max bucket fill -bkmult 1.0,1s:1.268350
Info:Lattice Sieving: Total time: 26455.5s
Info:Linear Algebra: Total cpu/real time for bwc: 5227.97/1984.75
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1735.64, WCT time 723.12, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (14336 iterations)
Info:Linear Algebra: Lingen CPU time 2504.74, WCT time 848.66
Info:Linear Algebra: Mksol: CPU time 948.87,  WCT time 392.5, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (7168 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 350.76
Info:Polynomial Selection (root optimized): Rootsieve time: 349.58
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 44888.5/16318.4
Info:root: Cleaning up computation data in /tmp/cado.3f2sfyny
35252965459017078965383960590998848897904593908777791688235500085215419 10305319697497593835905628156612092540279471713

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)

385055761269522636621957510485314222662835013514669337233339214497312920359228495594521942721856028861713596309096695094954389369042167715884969171707108783<156>

20130156936495568110434721802076447<35>
9757658031481739713123913665061042280235536352571429<52>
1960337606561894167067225086110923389212096233645049290217834158568541<70>

Number: n
N=19128303991084357394066711008740333063380060008790113164531494966487842938148595573026203874087325092823590444499094815089  ( 122 digits)
Divisors found:

Sat Dec  3 03:15:03 2022  p52 factor: 9757658031481739713123913665061042280235536352571429
Sat Dec  3 03:15:03 2022  p70 factor: 1960337606561894167067225086110923389212096233645049290217834158568541
Sat Dec  3 03:15:03 2022  elapsed time 00:07:27 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 65x10^163+34 = 72(162)6
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 385055761269522636621957510485314222662835013514669337233339214497312920359228495594521942721856028861713596309096695094954389369042167715884969171707108783 (156 digits)
# Using B1=25130000, B2=96190324246, polynomial Dickson(12), sigma=1:1122323408
# Step 1 took 59637ms
# Step 2 took 19413ms
# ********** Factor found in step 2: 20130156936495568110434721802076447
# Found prime factor of 35 digits: 20130156936495568110434721802076447
# Composite cofactor 19128303991084357394066711008740333063380060008790113164531494966487842938148595573026203874087325092823590444499094815089 has 122 digits
#

n: 19128303991084357394066711008740333063380060008790113164531494966487842938148595573026203874087325092823590444499094815089

Y0: -539149307921792810012947
Y1: 77277622988803
c0: -1710246795127687434192828723960
c1: 11236477592070931947300498
c2: 80742653377341122792
c3: -315747129677522
c4: -796587913
c5: 420

# skew 362335.21, size 1.172e-11, alpha -5.988, combined = 2.430e-10 rroots = 5

skew: 362335.21

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, 14100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 880928 hash collisions in 6699423 relations (6021177 unique)
Msieve: matrix is 517541 x 517766 (180.8 MB)

Sieving start time : 2022/12/03 01:38:05
Sieving end time  : 2022/12/03 03:07:22

Total sieving time: 1hrs 29min 17secs.

Total relation processing time: 0hrs 3min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 6sec.

Prototype def-par.txt line would be:
gnfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2600000,2600000,26,26,49,49,2.6,2.6,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

10694877977123425754194072117444324405347597581769099523692036704680561965668852375454169853670965153321760503<110>

12314331524144145540512757839639788577<38>
868490340393586819974908570770253548736229109467425424481682260693078039<72>

Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:1579668390 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 10694877977123425754194072117444324405347597581769099523692036704680561965668852375454169853670965153321760503 (110 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1579668390
Step 1 took 3775ms
Step 2 took 3807ms
********** Factor found in step 2: 12314331524144145540512757839639788577
Found probable prime factor of 38 digits: 12314331524144145540512757839639788577
Probable prime cofactor 868490340393586819974908570770253548736229109467425424481682260693078039 has 72 digits

58263251942170623898064459350199277107731367154270569615014716770977085119988886653855164786110692194922998501033143782664305106257562689<137>

7373143685206208360665583796618126646451742095545544717406311<61>
7902090943795454689923629607327084466826942990596672186619410022217432478999<76>

Number: 72226_166
N = 58263251942170623898064459350199277107731367154270569615014716770977085119988886653855164786110692194922998501033143782664305106257562689 (137 digits)
SNFS difficulty: 168 digits.
Divisors found:
r1=7373143685206208360665583796618126646451742095545544717406311 (pp61)
r2=7902090943795454689923629607327084466826942990596672186619410022217432478999 (pp76)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 1.63 hours.
Factorization parameters were as follows:
n: 58263251942170623898064459350199277107731367154270569615014716770977085119988886653855164786110692194922998501033143782664305106257562689
m: 10000000000000000000000000000000000000000000000000000000
deg: 3
c3: 325
c0: 17
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 10327364
Relations: 1428618 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 0.78 hours.
Total relation processing time: 0.10 hours.
Pruned matrix : 1259292 x 1259521
Matrix solve time: 0.68 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: snfs,168,3,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 1.63 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

83512995077334034184255403892762444259068670655710410390073589757187418396987270562997741978028855516904361542123625200425017860080775939148817241442250965787053<161>

1296078131415460135074874454871845281515694308119502357893936277076471<70>
64435154836019523928308827028531678515848979113822200647038502326628990924016423289290782843<92>

Number: n
N=83512995077334034184255403892762444259068670655710410390073589757187418396987270562997741978028855516904361542123625200425017860080775939148817241442250965787053  ( 161 digits)
SNFS difficulty: 171 digits.
Divisors found:

Tue Nov 29 16:18:42 2022  p70 factor: 1296078131415460135074874454871845281515694308119502357893936277076471
Tue Nov 29 16:18:42 2022  p92 factor: 64435154836019523928308827028531678515848979113822200647038502326628990924016423289290782843
Tue Nov 29 16:18:42 2022  elapsed time 00:11:42 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 65x10^170+34 = 72(169)6
#
n: 83512995077334034184255403892762444259068670655710410390073589757187418396987270562997741978028855516904361542123625200425017860080775939148817241442250965787053
m: 10000000000000000000000000000000000
deg: 5
c5: 65
c0: 34
skew: 0.88
# Murphy_E = 2.412e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 22550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1340757 hash collisions in 13518928 relations (13024464 unique)
Msieve: matrix is 687299 x 687525 (238.9 MB)

Sieving start time : 2022/11/29 13:17:26
Sieving end time  : 2022/11/29 16:06:10

Total sieving time: 2hrs 48min 44secs.

Total relation processing time: 0hrs 6min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 26sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2813737955198491084223898447815808979395237855418049440112160482078043222697261939233791209930503045084147308960870066918756687361183509<136>

30663501165085878025243604329493419633<38>
91761796542733797187507275648465273402069312829733284035799948156038062269038427066248667968339173<98>

2813737955198491084223898447815808979395237855418049440112160482078043222697261939233791209930503045084147308960870066918756687361183509=30663501165085878025243604329493419633*91761796542733797187507275648465273402069312829733284035799948156038062269038427066248667968339173

cado polynomial
n: 2813737955198491084223898447815808979395237855418049440112160482078043222697261939233791209930503045084147308960870066918756687361183509
skew: 0.55
type: snfs
c0: 17
c5: 325
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 325*x^5+17
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5300000
tasks.lim1 = 5300000
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: 30663501165085878025243604329493419633 91761796542733797187507275648465273402069312829733284035799948156038062269038427066248667968339173
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 228.35/72.6734
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Singleton removal: Total cpu/real time for purge: 85.64/81.5144
Info:Filtering - Merging: Merged matrix has 886942 rows and total weight 150865898 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 222.96/63.5268
Info:Filtering - Merging: Total cpu/real time for replay: 32.36/34.9996
Info:Generate Factor Base: Total cpu/real time for makefb: 2.26/1.41738
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11896320
Info:Lattice Sieving: Average J: 1893.83 for 508539 special-q, max bucket fill -bkmult 1.0,1s:1.244020
Info:Lattice Sieving: Total time: 67153.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 145.85/150.61
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 113.6s
Info:Linear Algebra: Total cpu/real time for bwc: 13266.2/3707.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 8414.77, WCT time 2271.85, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27904 iterations)
Info:Linear Algebra: Lingen CPU time 114.28, WCT time 117.1
Info:Linear Algebra: Mksol: CPU time 4571.42,  WCT time 1253.7, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (14080 iterations)
Info:Square Root: Total cpu/real time for sqrt: 228.35/72.6734
Info:Generate Free Relations: Total cpu/real time for freerel: 64.01/18.1889
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.59/42.8152
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 42.5s
Info:Quadratic Characters: Total cpu/real time for characters: 32.25/14.7007
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 136426/37761.8
Info:root: Cleaning up computation data in /tmp/cado.ch323m2b
30663501165085878025243604329493419633 91761796542733797187507275648465273402069312829733284035799948156038062269038427066248667968339173

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)

66996495567924139352710781282209853638425066996495567924139352710781282209853638425066996495567924139352710781282209853638425066996495567924139352710781282209853638425067<170>

146799471043165818127300614223054694866166845938979265318005395390588191760403<78>
456381042055826470209698800999705968600122155797811093707005618993869323694264237628116396489<93>

Number: n
N=66996495567924139352710781282209853638425066996495567924139352710781282209853638425066996495567924139352710781282209853638425066996495567924139352710781282209853638425067  ( 170 digits)
SNFS difficulty: 173 digits.
Divisors found:

Sun Nov 27 20:01:26 2022  p78 factor: 146799471043165818127300614223054694866166845938979265318005395390588191760403
Sun Nov 27 20:01:26 2022  p93 factor: 456381042055826470209698800999705968600122155797811093707005618993869323694264237628116396489
Sun Nov 27 20:01:26 2022  elapsed time 00:10:41 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.296).
Factorization parameters were as follows:
#
# N = 65x10^172+34 = 72(171)6
#
n: 66996495567924139352710781282209853638425066996495567924139352710781282209853638425066996495567924139352710781282209853638425066996495567924139352710781282209853638425067
m: 10000000000000000000000000000000000
deg: 5
c5: 3250
c0: 17
skew: 0.35
# Murphy_E = 1.945e-10
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1670663 hash collisions in 14340138 relations (13511298 unique)
Msieve: matrix is 668240 x 668465 (234.9 MB)

Sieving start time : 2022/11/27 18:54:52
Sieving end time  : 2022/11/27 19:50:25

Total sieving time: 0hrs 55min 33secs.

Total relation processing time: 0hrs 6min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 51sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

145199481749542063172943751954608408166912388866550507081267033016128311665102979940133136755573426261001653040253764017334584282714560157262207925657865344234463655452799<171>

4143025529838136251147689148913418423546369088970731003564684135487871<70>
35046726288267612407149125445141224718554332453647327780724172693768743687648876545815610411103680769<101>

Number: n
N=145199481749542063172943751954608408166912388866550507081267033016128311665102979940133136755573426261001653040253764017334584282714560157262207925657865344234463655452799  ( 171 digits)
SNFS difficulty: 175 digits.
Divisors found:

Sun Nov 27 21:44:08 2022  p70 factor: 4143025529838136251147689148913418423546369088970731003564684135487871
Sun Nov 27 21:44:08 2022  p101 factor: 35046726288267612407149125445141224718554332453647327780724172693768743687648876545815610411103680769
Sun Nov 27 21:44:08 2022  elapsed time 00:14:38 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.301).
Factorization parameters were as follows:
#
# N = 65x10^173+34 = 72(172)6
#
n: 145199481749542063172943751954608408166912388866550507081267033016128311665102979940133136755573426261001653040253764017334584282714560157262207925657865344234463655452799
m: 50000000000000000000000000000000000
deg: 5
c5: 52
c0: 85
skew: 1.10
# Murphy_E = 1.544e-10
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 15700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1909522 hash collisions in 13604303 relations (12392239 unique)
Msieve: matrix is 761224 x 761450 (263.2 MB)

Sieving start time : 2022/11/27 20:08:01
Sieving end time  : 2022/11/27 21:29:07

Total sieving time: 1hrs 21min 6secs.

Total relation processing time: 0hrs 8min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 51sec.

Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,51,51,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

311323085971182033225946340422915622860962968630291170049725235898829295291362259456440358461531536702271690135487469129163591984698544083450665766073847<153>

31799016238241730831687076712877530192723078551528957<53>
9790337022966848893965075793884148110188307953072350322268247878056317405659386899022882719612064771<100>

Number: n
N=311323085971182033225946340422915622860962968630291170049725235898829295291362259456440358461531536702271690135487469129163591984698544083450665766073847  ( 153 digits)
SNFS difficulty: 175 digits.
Divisors found:

Sat Dec  3 21:01:15 2022  p53 factor: 31799016238241730831687076712877530192723078551528957
Sat Dec  3 21:01:15 2022  p100 factor: 9790337022966848893965075793884148110188307953072350322268247878056317405659386899022882719612064771
Sat Dec  3 21:01:15 2022  elapsed time 00:11:06 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.282).
Factorization parameters were as follows:
#
# N = 65x10^174+34 = 72(173)6
#
n: 311323085971182033225946340422915622860962968630291170049725235898829295291362259456440358461531536702271690135487469129163591984698544083450665766073847
m: 50000000000000000000000000000000000
deg: 5
c5: 104
c0: 17
skew: 0.70
# Murphy_E = 1.629e-10
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 15750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1948304 hash collisions in 13065885 relations (11740640 unique)
Msieve: matrix is 716765 x 716990 (245.1 MB)

Sieving start time : 2022/12/03 19:15:48
Sieving end time  : 2022/12/03 20:49:51

Total sieving time: 1hrs 34min 3secs.

Total relation processing time: 0hrs 7min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 42sec.

Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5900000,5900000,27,27,50,50,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

4630100970881091613025891149139375497464141346261355847714809712214034360341412996018623520414907873133674874529069270920094771983509430746615776550587548620541188163<166>

701417089761798564584715281264246444281312967747<48>
21715614841281626915078291015546000452884044330167079<53>
303977884818509524468997463697371715956787661875215817855467110551<66>

Number: n
N=4630100970881091613025891149139375497464141346261355847714809712214034360341412996018623520414907873133674874529069270920094771983509430746615776550587548620541188163  ( 166 digits)
SNFS difficulty: 177 digits.
Divisors found:

Fri Dec  2 13:09:24 2022  found factor: 303977884818509524468997463697371715956787661875215817855467110551
Fri Dec  2 13:10:30 2022  found factor: 303977884818509524468997463697371715956787661875215817855467110551
Fri Dec  2 13:12:36 2022  p48 factor: 701417089761798564584715281264246444281312967747
Fri Dec  2 13:12:36 2022  p53 factor: 21715614841281626915078291015546000452884044330167079
Fri Dec  2 13:12:36 2022  p66 factor: 303977884818509524468997463697371715956787661875215817855467110551
Fri Dec  2 13:12:36 2022  elapsed time 00:21:22 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 65x10^176+34 = 72(175)6
#
n: 4630100970881091613025891149139375497464141346261355847714809712214034360341412996018623520414907873133674874529069270920094771983509430746615776550587548620541188163
m: 100000000000000000000000000000000000
deg: 5
c5: 325
c0: 17
skew: 0.55
# Murphy_E = 1.259e-10
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 30400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1613212 hash collisions in 13598803 relations (12764745 unique)
Msieve: matrix is 946721 x 946946 (329.1 MB)

Sieving start time : 2022/12/02 09:15:03
Sieving end time  : 2022/12/02 12:50:31

Total sieving time: 3hrs 35min 28secs.

Total relation processing time: 0hrs 13min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 16sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6400000,6400000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

5191618945293668506713366374432920739309747525194803442084186067213941628319028735991849987644428751322765548833957051190398824395080343720164628477572441997<157>

14369183077504266173075875490061355513126221871<47>
55240157059428665304412868969570752184804097515134723<53>
6540573429394532670407283342471880985762201720076899255809<58>

Number: n
N=361302303498479948889351143030955222435041040862025328220949585161687578175556151995209362839691286313075355907  ( 111 digits)
Divisors found:

Tue Dec  6 12:20:46 2022  p53 factor: 55240157059428665304412868969570752184804097515134723
Tue Dec  6 12:20:46 2022  p58 factor: 6540573429394532670407283342471880985762201720076899255809
Tue Dec  6 12:20:46 2022  elapsed time 00:03:58 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.304).
Factorization parameters were as follows:
#
# N = 65x10^181+34 = 72(180)6
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 5191618945293668506713366374432920739309747525194803442084186067213941628319028735991849987644428751322765548833957051190398824395080343720164628477572441997 (157 digits)
# Using B1=29750000, B2=144289285156, polynomial Dickson(12), sigma=1:1479715304
# Step 1 took 70890ms
# Step 2 took 25015ms
# ********** Factor found in step 2: 14369183077504266173075875490061355513126221871
# Found prime factor of 47 digits: 14369183077504266173075875490061355513126221871
# Composite cofactor 361302303498479948889351143030955222435041040862025328220949585161687578175556151995209362839691286313075355907 has 111 digits
#

n: 361302303498479948889351143030955222435041040862025328220949585161687578175556151995209362839691286313075355907

Y0: -3985594831441002793675
Y1: 9930045469267
c0: 4121583147366994184837824476
c1: 129543458261291260698372
c2: 2240684538084469823
c3: -2663157955768
c4: -298290078
c5: 360

# skew 129553.54, size 1.389e-10, alpha -6.514, combined = 9.276e-10 rroots = 3

skew: 129553.54

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 504192 hash collisions in 7192539 relations (6866928 unique)
Msieve: matrix is 298023 x 298250 (103.7 MB)

Sieving start time : 2022/12/06 11:58:21
Sieving end time  : 2022/12/06 12:16:34

Total sieving time: 0hrs 18min 13secs.

Total relation processing time: 0hrs 1min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 43sec.

Prototype def-par.txt line would be:
gnfs,110,5,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) ----------

2463002247843347051017239852978848533680350665111442957277863229031135604055209314140058051984265561757227618267701440026732124506351435931995950572657791<154>

79866151576827434569796406850502378623<38>
72164430419483090975946884126666170124390667667<47>
427345231193274041946014214503136662817757108213097470606999790340251<69>

Number: n
N=30839125201544939565615435723285833119516397753931990940674355128079876621669335499349865544040202692822838994364417  ( 116 digits)
Divisors found:

Sun Dec  4 23:32:52 2022  p47 factor: 72164430419483090975946884126666170124390667667
Sun Dec  4 23:32:52 2022  p69 factor: 427345231193274041946014214503136662817757108213097470606999790340251
Sun Dec  4 23:32:52 2022  elapsed time 00:05:30 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 65x10^182+34 = 72(181)6
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 2463002247843347051017239852978848533680350665111442957277863229031135604055209314140058051984265561757227618267701440026732124506351435931995950572657791 (154 digits)
# Using B1=28360000, B2=144287903776, polynomial Dickson(12), sigma=1:364954670
# Step 1 took 54821ms
# Step 2 took 22366ms
# ********** Factor found in step 2: 79866151576827434569796406850502378623
# Found prime factor of 38 digits: 79866151576827434569796406850502378623
# Composite cofactor 30839125201544939565615435723285833119516397753931990940674355128079876621669335499349865544040202692822838994364417 has 116 digits
#

n: 30839125201544939565615435723285833119516397753931990940674355128079876621669335499349865544040202692822838994364417

Y0: -66340496034116870802177
Y1: 8937346813537
c0: -3505225455373371126554094824320
c1: 103719311684266533987897746
c2: 1615462760339938881
c3: -104863038314642
c4: -1119608
c5: 24

# skew 1364099.49, size 5.071e-11, alpha -7.014, combined = 5.361e-10 rroots = 5

skew: 1364099.49

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 826397 hash collisions in 7290302 relations (6747109 unique)
Msieve: matrix is 348483 x 348709 (120.6 MB)

Sieving start time : 2022/12/04 23:01:08
Sieving end time  : 2022/12/04 23:27:06

Total sieving time: 0hrs 25min 58secs.

Total relation processing time: 0hrs 2min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 28sec.

Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2600000,2600000,26,26,49,49,2.6,2.6,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1009193119702431761942408092821939378774853987093277740800788812767190633464952980998904691358359498390002064846753933320537078214998993398468252575579<151>

584870947061420264388262115458612553888616078371<48>
1725497094312758322407388148202751873516919778797341793367606282018398727914762084616165473395673497449<103>

1009193119702431761942408092821939378774853987093277740800788812767190633464952980998904691358359498390002064846753933320537078214998993398468252575579=584870947061420264388262115458612553888616078371*1725497094312758322407388148202751873516919778797341793367606282018398727914762084616165473395673497449

cado polynomial
n: 1009193119702431761942408092821939378774853987093277740800788812767190633464952980998904691358359498390002064846753933320537078214998993398468252575579
skew: 1.10
type: snfs
c0: 85
c5: 52
Y0: 5000000000000000000000000000000000000
Y1: -1
# f(x) = 52*x^5+85
# g(x) = -x+5000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8500000
tasks.lim1 = 8500000
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: 584870947061420264388262115458612553888616078371 1725497094312758322407388148202751873516919778797341793367606282018398727914762084616165473395673497449
Info:Square Root: Total cpu/real time for sqrt: 812.19/255.192
Info:Filtering - Singleton removal: Total cpu/real time for purge: 247.05/116.026
Info:Quadratic Characters: Total cpu/real time for characters: 60.11/26.3579
Info:Square Root: Total cpu/real time for sqrt: 812.19/255.192
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23194661
Info:Lattice Sieving: Average J: 1894.31 for 1278066 special-q, max bucket fill -bkmult 1.0,1s:1.130250
Info:Lattice Sieving: Total time: 233184s
Info:Generate Factor Base: Total cpu/real time for makefb: 3.65/0.937196
Info:Generate Free Relations: Total cpu/real time for freerel: 98.03/12.5067
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 362.42/147.389
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 127.90000000000002s
Info:Filtering - Merging: Merged matrix has 1654457 rows and total weight 281425140 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 400.24/59.0232
Info:Filtering - Merging: Total cpu/real time for replay: 57.44/47.6183
Info:Linear Algebra: Total cpu/real time for bwc: 44771.5/11949.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 28615.71, WCT time 7575.99, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (51968 iterations)
Info:Linear Algebra: Lingen CPU time 338.62, WCT time 87.78
Info:Linear Algebra: Mksol: CPU time 15517.8,  WCT time 4159.68, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (25856 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 57.54/43.5459
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 43.3s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 475328/12244.1
584870947061420264388262115458612553888616078371 1725497094312758322407388148202751873516919778797341793367606282018398727914762084616165473395673497449

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)

39583421281341175670158881196488119522960809503246277826384562038571333074406192351858905649851001077948875218867886653051006488808623750401076899<146>

6237410874787783532584108345322210164243744296111947546895931151<64>
6346130161368907574934452785957056459752556243312638463652856547371455618491125549<82>

39583421281341175670158881196488119522960809503246277826384562038571333074406192351858905649851001077948875218867886653051006488808623750401076899=6237410874787783532584108345322210164243744296111947546895931151*6346130161368907574934452785957056459752556243312638463652856547371455618491125549

cado polynomial
n: 39583421281341175670158881196488119522960809503246277826384562038571333074406192351858905649851001077948875218867886653051006488808623750401076899
skew: 0.70
type: snfs
c0: 17
c5: 104
Y0: 5000000000000000000000000000000000000
Y1: -1
# f(x) = 104*x^5+17
# g(x) = -x+5000000000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 6237410874787783532584108345322210164243744296111947546895931151 6346130161368907574934452785957056459752556243312638463652856547371455618491125549
Info:Square Root: Total cpu/real time for sqrt: 756.46/240.512
Info:Square Root: Total cpu/real time for sqrt: 756.46/240.512
Info:Generate Factor Base: Total cpu/real time for makefb: 3.67/2.04033
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 96.14/92.3405
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 92.10000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 168.36/168.226
Info:Filtering - Merging: Merged matrix has 1557646 rows and total weight 265356565 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 399.23/111.971
Info:Filtering - Merging: Total cpu/real time for replay: 60.08/52.7244
Info:Quadratic Characters: Total cpu/real time for characters: 56.62/25.2152
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22913300
Info:Lattice Sieving: Average J: 1894.06 for 1159544 special-q, max bucket fill -bkmult 1.0,1s:1.175660
Info:Lattice Sieving: Total time: 210350s
Info:Linear Algebra: Total cpu/real time for bwc: 39906.7/10632.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 25510.1, WCT time 6741.59, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (48896 iterations)
Info:Linear Algebra: Lingen CPU time 313.94, WCT time 81.37
Info:Linear Algebra: Mksol: CPU time 13799.72,  WCT time 3698.52, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (24576 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 120.95/31.8222
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 300.62/299.443
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 258.79999999999995s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 430680/116813
Info:root: Cleaning up computation data in /tmp/cado.7iud2kdy
6237410874787783532584108345322210164243744296111947546895931151 6346130161368907574934452785957056459752556243312638463652856547371455618491125549

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)

78001762449321900126932070845216522508452533213201193966086570069078312766925478925684857937764320410676511111059829570253534545126366482087313531742141<152>

15994232031328861921480987633616437<35>
238744990898474407996500722287960891533289207768370443<54>
20427101888864688245403325079247751044787933086505352578199801051<65>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 78001762449321900126932070845216522508452533213201193966086570069078312766925478925684857937764320410676511111059829570253534545126366482087313531742141 (152 digits)
Using B1=26210000, B2=144285141016, polynomial Dickson(12), sigma=1:1357900104
Step 1 took 50725ms
Step 2 took 22411ms
********** Factor found in step 2: 15994232031328861921480987633616437
Found prime factor of 35 digits: 15994232031328861921480987633616437
Composite cofactor 4876868254539209383183836853043808575323873974478950486319077638993249201517309265174339573084748913428129833068735593 has 118 digits

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 4876868254539209383183836853043808575323873974478950486319077638993249201517309265174339573084748913428129833068735593 (118 digits)
Using B1=45300000, B2=240492732496, polynomial Dickson(12), sigma=1:1192161786
Step 1 took 71726ms
Step 2 took 27158ms
********** Factor found in step 2: 238744990898474407996500722287960891533289207768370443
Found prime factor of 54 digits: 238744990898474407996500722287960891533289207768370443
Prime cofactor 20427101888864688245403325079247751044787933086505352578199801051 has 65 digits

36111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<188>

42725927422823285055402379435786762867330670977<47>
155184515618854037267757620589218401286770283809249667<54>
5446292577262095134217705658333744504812259436242498066042834845260475227292298828381507<88>

Number: n
N=36111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113  ( 188 digits)
SNFS difficulty: 188 digits.
Divisors found:

Mon Nov 28 01:28:58 2022  found factor: 155184515618854037267757620589218401286770283809249667
Mon Nov 28 01:31:11 2022  p47 factor: 42725927422823285055402379435786762867330670977
Mon Nov 28 01:31:11 2022  p54 factor: 155184515618854037267757620589218401286770283809249667
Mon Nov 28 01:31:11 2022  p88 factor: 5446292577262095134217705658333744504812259436242498066042834845260475227292298828381507
Mon Nov 28 01:31:11 2022  elapsed time 00:45:01 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 65x10^187+34 = 72(186)6
#
n: 36111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113
m: 10000000000000000000000000000000000000
deg: 5
c5: 3250
c0: 17
skew: 0.35
# Murphy_E = 4.821e-11
type: snfs
lss: 1
rlim: 9700000
alim: 9700000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9700000/9700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 10450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1220441 hash collisions in 12271160 relations (11804460 unique)
Msieve: matrix is 1423848 x 1424073 (504.0 MB)

Sieving start time : 2022/11/27 21:50:01
Sieving end time  : 2022/11/28 00:45:50

Total sieving time: 2hrs 55min 49secs.

Total relation processing time: 0hrs 36min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 28sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9700000,9700000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

120370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370371<192>

109535166436631629333601255964458920550682562353540709<54>
819896483504298609306771746336543391311730186244615068516234312633319<69>
1340315378380690998773210314837223357198620963513923739214645084143201<70>

Number: n
N=120370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370371  ( 192 digits)
SNFS difficulty: 192 digits.
Divisors found:

Fri Dec  9 21:34:00 2022  found factor: 1340315378380690998773210314837223357198620963513923739214645084143201
Fri Dec  9 21:36:02 2022  p54 factor: 109535166436631629333601255964458920550682562353540709
Fri Dec  9 21:36:02 2022  p69 factor: 819896483504298609306771746336543391311730186244615068516234312633319
Fri Dec  9 21:36:02 2022  p70 factor: 1340315378380690998773210314837223357198620963513923739214645084143201
Fri Dec  9 21:36:02 2022  elapsed time 00:51:05 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.355).
Factorization parameters were as follows:
#
# N = 65x10^191+34 = 72(190)6
#
n: 120370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370371
m: 100000000000000000000000000000000000000
deg: 5
c5: 325
c0: 17
skew: 0.55
# Murphy_E = 3.084e-11
type: snfs
lss: 1
rlim: 11300000
alim: 11300000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
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: 53/53
Sieved  special-q in [100000, 18485297)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1756997 hash collisions in 13898921 relations (12912546 unique)
Msieve: matrix is 1514588 x 1514813 (529.5 MB)

Sieving start time : 2022/12/09 15:33:10
Sieving end time  : 2022/12/09 20:44:37

Total sieving time: 5hrs 11min 27secs.

Total relation processing time: 0hrs 42min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 6sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11300000,11300000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

72174881053326186838440775139668502431254182258536455137551176666605563069916333644195431340471040412214855387238962193088201601<128>

1335833342142080187601838023556084380394789030927<49>
54029854455938273010437451134606960159000780117200089781807484304665684491511663<80>

Number: 1
N=72174881053326186838440775139668502431254182258536455137551176666605563069916333644195431340471040412214855387238962193088201601
  ( 128 digits)
Divisors found:
 r1=1335833342142080187601838023556084380394789030927 (pp49)
 r2=54029854455938273010437451134606960159000780117200089781807484304665684491511663 (pp80)
Version: Msieve v. 1.52 (SVN 927)
Total time: 78.43 hours.
Scaled time: 615.61 units (timescale=7.849).
Factorization parameters were as follows:
name: 1
n: 72174881053326186838440775139668502431254182258536455137551176666605563069916333644195431340471040412214855387238962193088201601
skew: 122969.57
# norm 1.58e+017
c5: 23160
c4: -9729805720
c3: 2963606048522422
c2: 99366895045365717468
c1: -15522676759648213875582838
c0: -222283167134172584474530185449
# alpha -4.84
Y1: 46666934338987
Y0: -4997235829206729557857731
# Murphy_E 9.12e-011
# M 44199823798268786627773891958591374085588374481664123189192922707829977826610155078361854913994230814671928408615850859396742700
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 : 1328734 x 1328964
Total sieving time: 78.04 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.29 hours.
Time per square root: 0.04 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: 78.43 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

8478776969032897654639847642900002608854452010122355273799274738462341185985233883801622707469150296104980303148887323576217682815475724609324045811484177297748558607915264407398711225900707<190>

1883302052777815501044441954309626775030182343268218202133967463<64>
4502080245984413047497277895802801392226833598269550723944570784268641106018586028746463117400709500812589566111275512632255589<127>

Number: n
N=8478776969032897654639847642900002608854452010122355273799274738462341185985233883801622707469150296104980303148887323576217682815475724609324045811484177297748558607915264407398711225900707  ( 190 digits)
SNFS difficulty: 195 digits.
Divisors found:

Thu Dec 15 02:58:29 2022  p64 factor: 1883302052777815501044441954309626775030182343268218202133967463
Thu Dec 15 02:58:29 2022  p127 factor: 4502080245984413047497277895802801392226833598269550723944570784268641106018586028746463117400709500812589566111275512632255589
Thu Dec 15 02:58:29 2022  elapsed time 00:58:18 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 65x10^193+34 = 72(192)6
#
n: 8478776969032897654639847642900002608854452010122355273799274738462341185985233883801622707469150296104980303148887323576217682815475724609324045811484177297748558607915264407398711225900707
m: 500000000000000000000000000000000000000
deg: 5
c5: 52
c0: 85
skew: 1.10
# Murphy_E = 2.365e-11
type: snfs
lss: 1
rlim: 12500000
alim: 12500000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 12500000/12500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 26250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2018221 hash collisions in 14621310 relations (13371778 unique)
Msieve: matrix is 1621401 x 1621626 (564.3 MB)

Sieving start time : 2022/12/14 18:32:11
Sieving end time  : 2022/12/15 01:59:35

Total sieving time: 7hrs 27min 24secs.

Total relation processing time: 0hrs 51min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 3sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12500000,12500000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

171794922281075610504917347775588686353434641772702581590424599807282355544919635469060669760518769873743011385132232649611802353461775049649979404222950633<156>

34411711948132877276007139774284234211701613588036825837159237<62>
4992338728744848731399034120656491089948378185519349493220110157978665600893776144979043527509<94>

Number: n
N=171794922281075610504917347775588686353434641772702581590424599807282355544919635469060669760518769873743011385132232649611802353461775049649979404222950633  ( 156 digits)
SNFS difficulty: 195 digits.
Divisors found:

Fri Dec 16 13:40:35 2022  p62 factor: 34411711948132877276007139774284234211701613588036825837159237
Fri Dec 16 13:40:35 2022  p94 factor: 4992338728744848731399034120656491089948378185519349493220110157978665600893776144979043527509
Fri Dec 16 13:40:35 2022  elapsed time 01:15:31 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.305).
Factorization parameters were as follows:
#
# N = 65x10^194+34 = 72(193)6
#
n: 171794922281075610504917347775588686353434641772702581590424599807282355544919635469060669760518769873743011385132232649611802353461775049649979404222950633
m: 500000000000000000000000000000000000000
deg: 5
c5: 104
c0: 17
skew: 0.70
# Murphy_E = 2.49e-11
type: snfs
lss: 1
rlim: 12700000
alim: 12700000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 12700000/12700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 19203799)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1615442 hash collisions in 12974067 relations (12076992 unique)
Msieve: matrix is 1848885 x 1849110 (646.3 MB)

Sieving start time : 2022/12/16 06:50:14
Sieving end time  : 2022/12/16 12:24:47

Total sieving time: 5hrs 34min 33secs.

Total relation processing time: 1hrs 5min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 11sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12700000,12700000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

161022848930342282729995372213775840770271946596396121786061401585032475185256662963582740238799130266303089981373524048499720752636997474478788756251243390786862392569614393901567971869<186>

329040247597777022507198506304495299<36>

489371285445842048664823622850297132402001618348656602175408136106727974954518876925951931500436927303128613211048702631744217114468070888781190102431<150>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3521071333
Step 1 took 7375ms
Step 2 took 3547ms
********** Factor found in step 2: 329040247597777022507198506304495299
Found prime factor of 36 digits: 329040247597777022507198506304495299
Composite cofactor 489371285445842048664823622850297132402001618348656602175408136106727974954518876925951931500436927303128613211048702631744217114468070888781190102431 has 150 digits

GMP-ECM

489371285445842048664823622850297132402001618348656602175408136106727974954518876925951931500436927303128613211048702631744217114468070888781190102431<150>

1130912420640552610256506496080515611676311493229<49>
432722531395190178973214806465178023835523101003283227516066816755584658702579519329041498832965988539<102>

GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 489371285445842048664823622850297132402001618348656602175408136106727974954518876925951931500436927303128613211048702631744217114468070888781190102431 (150 digits)
Using B1=77870000, B2=582195674980, polynomial Dickson(30), sigma=1:312782189
Step 1 took 149866ms
Step 2 took 60711ms
********** Factor found in step 2: 1130912420640552610256506496080515611676311493229
Found prime factor of 49 digits: 1130912420640552610256506496080515611676311493229
Prime cofactor 432722531395190178973214806465178023835523101003283227516066816755584658702579519329041498832965988539 has 102 digits

5650306855126132234565969505728541873120186373198421391192475529824927415288861071993602114084041794885168379144282758740590065891270710547818981553921312957457535770788782836975608059945409343<193>

11550823089571098603562644792511802051498664283751141405705228713292615503675368143965511<89>
489169196975030251826209871726022977687595098492909279217313797169322815580044766561818078821013118000713<105>

Number: n
N=5650306855126132234565969505728541873120186373198421391192475529824927415288861071993602114084041794885168379144282758740590065891270710547818981553921312957457535770788782836975608059945409343  ( 193 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sun Dec 18 22:44:28 2022  p89 factor: 11550823089571098603562644792511802051498664283751141405705228713292615503675368143965511
Sun Dec 18 22:44:28 2022  p105 factor: 489169196975030251826209871726022977687595098492909279217313797169322815580044766561818078821013118000713
Sun Dec 18 22:44:28 2022  elapsed time 01:25:18 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.357).
Factorization parameters were as follows:
#
# N = 65x10^196+34 = 72(195)6
#
n: 5650306855126132234565969505728541873120186373198421391192475529824927415288861071993602114084041794885168379144282758740590065891270710547818981553921312957457535770788782836975608059945409343
m: 1000000000000000000000000000000000000000
deg: 5
c5: 325
c0: 17
skew: 0.55
# Murphy_E = 1.913e-11
type: snfs
lss: 1
rlim: 13700000
alim: 13700000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 13700000/13700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 26850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1814681 hash collisions in 13385294 relations (12268601 unique)
Msieve: matrix is 1948825 x 1949050 (681.2 MB)

Sieving start time : 2022/12/18 14:15:59
Sieving end time  : 2022/12/18 21:18:47

Total sieving time: 7hrs 2min 48secs.

Total relation processing time: 1hrs 12min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 52sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13700000,13700000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2673674893425282641803240797864833175269375645421520095122080312361439626573602773060572029847652762342138449784885455370398797704506465952428066058299668619715426762809613640181737596583801<190>

298081171033467699486613789611514797680214948919<48>
8969620201623168235561770569677617825049500839554459645710972128748367438173826704200343324500604102464762828092317519080758008313040776636879<142>

Number: n
N=2673674893425282641803240797864833175269375645421520095122080312361439626573602773060572029847652762342138449784885455370398797704506465952428066058299668619715426762809613640181737596583801  ( 190 digits)
SNFS difficulty: 198 digits.
Divisors found:

Sun Feb 12 10:58:58 2023  prp48 factor: 298081171033467699486613789611514797680214948919
Sun Feb 12 10:58:58 2023  prp142 factor: 8969620201623168235561770569677617825049500839554459645710972128748367438173826704200343324500604102464762828092317519080758008313040776636879
Sun Feb 12 10:58:58 2023  elapsed time 02:27:48 (Msieve 1.44 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.097).
Factorization parameters were as follows:
#
# N = 65x10^197+34 = 72(196)6
#
n: 2673674893425282641803240797864833175269375645421520095122080312361439626573602773060572029847652762342138449784885455370398797704506465952428066058299668619715426762809613640181737596583801
m: 1000000000000000000000000000000000000000
deg: 5
c5: 3250
c0: 17
skew: 0.35
# Murphy_E = 1.862e-11
type: snfs
lss: 1
rlim: 13800000
alim: 13800000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 13800000/13800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 25370999)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1671570 hash collisions in 13284929 relations (12344681 unique)
Msieve: matrix is 2090912 x 2091137 (599.0 MB)

Sieving start time: 2023/02/11 21:37:26
Sieving end time  : 2023/02/12 08:30:55

Total sieving time: 10hrs 53min 29secs.

Total relation processing time: 2hrs 7min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 16min 6sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,13800000,13800000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

150489939702457508909505227854306348696078736103436546192608420794032971250080921689021164175473318766841435300554329279074278514591508851215527550246703508130471923<165>

37369088294705245668452741840939810825207861665212227172038437<62>
4027123662093199618226962559859560636119871988840390435966702247533421958972202114863422455160794004279<103>

Number: n
N=150489939702457508909505227854306348696078736103436546192608420794032971250080921689021164175473318766841435300554329279074278514591508851215527550246703508130471923  ( 165 digits)
SNFS difficulty: 200 digits.
Divisors found:

Wed May 17 13:29:24 2023  prp62 factor: 37369088294705245668452741840939810825207861665212227172038437
Wed May 17 13:29:24 2023  prp103 factor: 4027123662093199618226962559859560636119871988840390435966702247533421958972202114863422455160794004279
Wed May 17 13:29:24 2023  elapsed time 02:51:11 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.102).
Factorization parameters were as follows:
#
# N = 65x10^198+34 = 72(197)6
#
n: 150489939702457508909505227854306348696078736103436546192608420794032971250080921689021164175473318766841435300554329279074278514591508851215527550246703508130471923
m: 5000000000000000000000000000000000000000
deg: 5
c5: 52
c0: 85
skew: 1.10
# Murphy_E = 1.463e-11
type: snfs
lss: 1
rlim: 15200000
alim: 15200000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15200000/15200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 40400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2004436 hash collisions in 14430836 relations (13175690 unique)
Msieve: matrix is 2339402 x 2339627 (662.8 MB)

Sieving start time: 2023/05/16 19:25:09
Sieving end time  : 2023/05/17 10:37:56

Total sieving time: 15hrs 12min 47secs.

Total relation processing time: 2hrs 44min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 55sec.

Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15200000,15200000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

128303154489237144365916252617931656621456107779810302083343969870989117199827487247835031141286288789334775857436633684270036075786520994441305002734500810029150500654232578127889017800199<189>

4164247975431301599371891131370217705971485232808159611105834310533243347685422772100847<88>
30810642220687749772744623996014658452235668937717626062332142584915502167725783313914808245514701417<101>

Number: n
N=128303154489237144365916252617931656621456107779810302083343969870989117199827487247835031141286288789334775857436633684270036075786520994441305002734500810029150500654232578127889017800199  ( 189 digits)
SNFS difficulty: 202 digits.
Divisors found:

Wed Jun 28 22:05:58 2023  prp88 factor: 4164247975431301599371891131370217705971485232808159611105834310533243347685422772100847
Wed Jun 28 22:05:58 2023  prp101 factor: 30810642220687749772744623996014658452235668937717626062332142584915502167725783313914808245514701417
Wed Jun 28 22:05:58 2023  elapsed time 03:24:29 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.082).
Factorization parameters were as follows:
#
# N = 65x10^201+34 = 72(200)6
#
n: 128303154489237144365916252617931656621456107779810302083343969870989117199827487247835031141286288789334775857436633684270036075786520994441305002734500810029150500654232578127889017800199
m: 10000000000000000000000000000000000000000
deg: 5
c5: 325
c0: 17
skew: 0.55
# Murphy_E = 1.182e-11
type: snfs
lss: 1
rlim: 16600000
alim: 16600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16600000/16600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 48300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2335760 hash collisions in 15383399 relations (13790073 unique)
Msieve: matrix is 2504363 x 2504588 (709.9 MB)

Sieving start time: 2023/06/27 21:58:07
Sieving end time  : 2023/06/28 18:41:14

Total sieving time: 20hrs 43min 7secs.

Total relation processing time: 3hrs 13min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 31sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16600000,16600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

6999633865305507096551872671275656350283215954857745902522021925006999633865305507096551872671275656350283215954857745902522021925006999633865305507096551872671275656350283215954857745902522021925007<199>

291773007239608071489305477767883993<36>
23989998017730646126874825379289710826964821648430304595228671343376277711093321072856423124408700912526557757379405758271960208309992935441482539682395449700312999<164>

Resuming ECM residue saved by @27fa1f59e07e with GMP-ECM 7.0.5-dev on Tue Dec 20 13:26:26 2022 
Input number is 6999633865305507096551872671275656350283215954857745902522021925006999633865305507096551872671275656350283215954857745902522021925006999633865305507096551872671275656350283215954857745902522021925007 (199 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2933871844
Step 1 took 0ms
Step 2 took 3740ms
********** Factor found in step 2: 291773007239608071489305477767883993
Found prime factor of 36 digits: 291773007239608071489305477767883993
Prime cofactor 23989998017730646126874825379289710826964821648430304595228671343376277711093321072856423124408700912526557757379405758271960208309992935441482539682395449700312999 has 164 digits

195756469672617436625797884728559833483121280122331259552854637094763779470017868702572038143050503124937077875198127921556974140890731560580035890478014747465219443947982855690019747<183>

147610898404869555835062886675903972088842852231147969681<57>
11915546139304123645506151954983192461188846378138519576451<59>
111297074302160653333428696110704525892532397695844235511836636073937<69>

Number: n
N=195756469672617436625797884728559833483121280122331259552854637094763779470017868702572038143050503124937077875198127921556974140890731560580035890478014747465219443947982855690019747  ( 183 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sat Oct 21 01:13:25 2023  prp57 factor: 147610898404869555835062886675903972088842852231147969681
Sat Oct 21 01:13:25 2023  prp59 factor: 11915546139304123645506151954983192461188846378138519576451
Sat Oct 21 01:13:25 2023  prp69 factor: 111297074302160653333428696110704525892532397695844235511836636073937
Sat Oct 21 01:13:25 2023  elapsed time 02:53:00 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.089).
Factorization parameters were as follows:
#
# N = 65x10^204+34 = 72(203)6
#
n: 195756469672617436625797884728559833483121280122331259552854637094763779470017868702572038143050503124937077875198127921556974140890731560580035890478014747465219443947982855690019747
m: 50000000000000000000000000000000000000000
deg: 5
c5: 104
c0: 17
skew: 0.70
# Murphy_E = 9.494e-12
type: snfs
lss: 1
rlim: 18600000
alim: 18600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18600000/18600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3395510 hash collisions in 19364772 relations (16378411 unique)
Msieve: matrix is 2324108 x 2324333 (655.3 MB)

Sieving start time: 2023/10/20 03:52:47
Sieving end time  : 2023/10/20 22:20:02

Total sieving time: 18hrs 27min 15secs.

Total relation processing time: 2hrs 42min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 19sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18600000,18600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

4355123593663482702188896852394139064344501289661258150647099948413119879399068792415432109402805839062662509862011262363467311872136982497264472683533618445880641576531835124056503<181>

2896623938538343795479016030442402578341745670424132367004591856389009391012236831<82>
1503517089574668013262723492109317253828795507891622746869213212749370048916104295693657616802916713<100>

Number: n
N=4355123593663482702188896852394139064344501289661258150647099948413119879399068792415432109402805839062662509862011262363467311872136982497264472683533618445880641576531835124056503  ( 181 digits)
SNFS difficulty: 206 digits.
Divisors found:

Tue Apr 16 17:22:22 2024  prp82 factor: 2896623938538343795479016030442402578341745670424132367004591856389009391012236831
Tue Apr 16 17:22:22 2024  prp100 factor: 1503517089574668013262723492109317253828795507891622746869213212749370048916104295693657616802916713
Tue Apr 16 17:22:22 2024  elapsed time 02:40:03 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.948).
Factorization parameters were as follows:
#
# N = 65x10^205+34 = 72(204)6
#
n: 4355123593663482702188896852394139064344501289661258150647099948413119879399068792415432109402805839062662509862011262363467311872136982497264472683533618445880641576531835124056503
m: 100000000000000000000000000000000000000000
deg: 5
c5: 65
c0: 34
skew: 0.88
# Murphy_E = 8.82e-12
type: snfs
lss: 1
rlim: 19600000
alim: 19600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19600000/19600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5461134 hash collisions in 25335769 relations (20007741 unique)
Msieve: matrix is 2246844 x 2247070 (624.1 MB)

Sieving start time: 2024/04/15 15:42:33
Sieving end time  : 2024/04/16 14:41:50

Total sieving time: 22hrs 59min 17secs.

Total relation processing time: 2hrs 30min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 31sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19600000,19600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

17786909902693142842846354590485783896841427952769948010281448544074077253421376381749561124498780870198229565823330246052508572115888811839687040641685518114673526149833277<173>

956160136029624844362084138099299151053885587843109929636051100273877641498825291962480852551328580292942526102603048421659350397869910397570688846625219425756799006762484176822532969077<186>

16759686867803100047717270427793743160596169875775748308572834327866828027423123375683495147512177440388916313245438849785331922135536473176657768938874561992197461175755485138500742439661749<191>

583569006321359609276525014989814823578384982258160600123071944311770944185725007493586850089934044982271426059652601039357490528613843902125516803<147>

14606122603178615406978753053489234989<38>
39953725035442471454585411245339388954659261219017911728402303507474705611733360096223975892282087578165938927<110>

Resuming ECM residue saved by @8d433fa2566a with GMP-ECM 7.0.5-dev on Mon Dec 19 22:14:52 2022 
Input number is 583569006321359609276525014989814823578384982258160600123071944311770944185725007493586850089934044982271426059652601039357490528613843902125516803 (147 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:511250313
Step 1 took 0ms
Step 2 took 3529ms
********** Factor found in step 2: 14606122603178615406978753053489234989
Found prime factor of 38 digits: 14606122603178615406978753053489234989
Prime cofactor 39953725035442471454585411245339388954659261219017911728402303507474705611733360096223975892282087578165938927 has 110 digits

3392907637096498000139208043372264978657498960181049691457819919870880344350776818165585453747018743896860364391127200237086752018116226845744881613307218404301860161453997676279083<181>

17960888901951333266352790298031485323109528555467476954270414668300400081323060309810518099378592526848832085803979034024096936407996095719317915065651268974607547<164>

1389406498850075373628040322933881742246073<43>
12927022377408220447936511103753779976081845083228284791324127135152113735259459505192570878842846287311621515905279665939<122>

Resuming ECM residue saved by @8d433fa2566a with GMP-ECM 7.0.5-dev on Mon Dec 19 22:26:45 2022 
Input number is 17960888901951333266352790298031485323109528555467476954270414668300400081323060309810518099378592526848832085803979034024096936407996095719317915065651268974607547 (164 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2792544750
Step 1 took 0ms
Step 2 took 3427ms
********** Factor found in step 2: 1389406498850075373628040322933881742246073
Found prime factor of 43 digits: 1389406498850075373628040322933881742246073
Prime cofactor 12927022377408220447936511103753779976081845083228284791324127135152113735259459505192570878842846287311621515905279665939 has 122 digits

879795220540685295127476788442469611063858481380819315612527434945639450310262348104519013189790224419442724320337849359578809591954877709892472979477559953899911812957937595862653478559616417<192>

29074456659003452343634124094629229026189929056663505834233122847186506884175096753167580937955337897221726119134220499990807893713371707845032823969848610760447830699<167>

4239203572171780548268275101220128115608394983797479678906280257111459216609478820757100588501034611848135970951702589628342174633329975462663785699700688857463613<163>

1291525054976426302782229950736147974713<40>
3282323912987624586472843585835525106176748959354270397472602412652921635204885555407584942801294452068145792595081567275301<124>

Resuming ECM residue saved by @8d433fa2566a with GMP-ECM 7.0.5-dev on Mon Dec 19 23:14:15 2022 
Input number is 4239203572171780548268275101220128115608394983797479678906280257111459216609478820757100588501034611848135970951702589628342174633329975462663785699700688857463613 (163 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3165653111
Step 1 took 0ms
Step 2 took 2604ms
********** Factor found in step 2: 1291525054976426302782229950736147974713
Found prime factor of 40 digits: 1291525054976426302782229950736147974713
Prime cofactor 3282323912987624586472843585835525106176748959354270397472602412652921635204885555407584942801294452068145792595081567275301 has 124 digits

3080364336015619816694626896793577677310510203114485294814562066971859687034983460813026623825907285772507985252163363568294046840493995659055797245680381396495019287819765513188698380202261461324841005810041039931<214>

8325091927303551973301885254371693227<37>
370009648291455155461494659423209100869660971470382070409083076275215497019995744562388324983351338974078294763014058578441599476623421705791978979948323300364126152047514520753<177>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3381059826
Step 1 took 28666ms
Step 2 took 9918ms
********** Factor found in step 2: 8325091927303551973301885254371693227
Found prime factor of 37 digits: 8325091927303551973301885254371693227
Prime cofactor 370009648291455155461494659423209100869660971470382070409083076275215497019995744562388324983351338974078294763014058578441599476623421705791978979948323300364126152047514520753 has 177 digits

10942760942760942760942760942760942760942760942760942760942760942760942760942760942760942760942760942760942760942760942760942760942760942760942760942760942760942760942760942760942760942760942760942760942760942760942761<218>

1176259550745892830548138215413212322635047565326852558562170640670659608497190293232237769394799147731611100027612068277781182583619085842532044120022361697127352998401272879098850363914897470546553298681831<208>

8391223935222227906755916514046980799298518016134355756174030729369251792124363487695533149848439581419813530814224798781895912781757193230910343645938914494155052188897646480342344512242841200814026903454307<208>

8898466198529556765282783413566253120299867786078345760786076401301206867420184954989643659568870610664541537445226897356432536508577572164945849886379<151>

20217620268941837775135693537684876598429<41>

440134203737089486523831223015111855988497253313870727521872876925332894515553529200443933608956506409625688551<111>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3519409544
Step 1 took 11640ms
********** Factor found in step 2: 20217620268941837775135693537684876598429
Found prime factor of 41 digits: 20217620268941837775135693537684876598429
Composite cofactor 440134203737089486523831223015111855988497253313870727521872876925332894515553529200443933608956506409625688551 has 111 digits
 

GMP-ECM

440134203737089486523831223015111855988497253313870727521872876925332894515553529200443933608956506409625688551<111>

41280872691430994831598095927861593100086666759021<50>
10661940386460185198570221711085882160985133473581093748240931<62>

440134203737089486523831223015111855988497253313870727521872876925332894515553529200443933608956506409625688551=41280872691430994831598095927861593100086666759021*10661940386460185198570221711085882160985133473581093748240931

cado polynomial
n: 440134203737089486523831223015111855988497253313870727521872876925332894515553529200443933608956506409625688551
skew: 8214.987
c0: 3032918075656524482102655
c1: 1861953344162908980018
c2: -175253279317286878
c3: 20336779754569
c4: 1515494340
c5: -189000
Y0: -1895964880021456992442
Y1: 28904246767995331
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.492e-06
# f(x) = -189000*x^5+1515494340*x^4+20336779754569*x^3-175253279317286878*x^2+1861953344162908980018*x+3032918075656524482102655
# g(x) = 28904246767995331*x-1895964880021456992442

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

cado log (extracts)
Info:Square Root: Factors: 10661940386460185198570221711085882160985133473581093748240931 41280872691430994831598095927861593100086666759021
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 96.22/28.8919
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 20.96/18.8852
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 17.9s
Info:Quadratic Characters: Total cpu/real time for characters: 10.73/4.1488
Info:Filtering - Singleton removal: Total cpu/real time for purge: 69.99/62.0883
Info:Filtering - Merging: Merged matrix has 293377 rows and total weight 45680924 (155.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 48.16/14.0021
Info:Filtering - Merging: Total cpu/real time for replay: 9.18/7.75682
Info:Generate Factor Base: Total cpu/real time for makefb: 2.22/0.615582
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5368578
Info:Lattice Sieving: Average J: 1896.03 for 98971 special-q, max bucket fill -bkmult 1.0,1s:1.309770
Info:Lattice Sieving: Total time: 9109.59s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 98.8/104.599
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 63.3s
Info:Linear Algebra: Total cpu/real time for bwc: 1183.26/333.13
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 725.25, WCT time 186.24, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9216 iterations)
Info:Linear Algebra: Lingen CPU time 33.39, WCT time 33.97
Info:Linear Algebra: Mksol: CPU time 398.12,  WCT time 102.42, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4608 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 302.6
Info:Polynomial Selection (root optimized): Rootsieve time: 301.57
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 12670.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 8629/32.150/39.353/44.890/1.096
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 6764/31.810/34.802/39.790/0.842
Info:Polynomial Selection (size optimized): Total time: 617.08
Info:Square Root: Total cpu/real time for sqrt: 96.22/28.8919
Info:Generate Free Relations: Total cpu/real time for freerel: 61.57/16.9966
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 19246.2/5328.08
Info:root: Cleaning up computation data in /tmp/cado.94n5_9eo
10661940386460185198570221711085882160985133473581093748240931 41280872691430994831598095927861593100086666759021

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)

265750581125753548460814647548353983867345178157961943113706246954060425367205678599689905561909178637856378427414024705076867842455296698667001896622059865084249285835409171527572773517566203472816131386051<207>

249421758388088313020516886874802674642653396490037305002355573116383080406649681765350337401166469189517309193799067403235600655540779443588779952909751994698024601362822524656144018501<186>

120370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370371<228>

95223402502779182557998085159508674019<38>
1264083903816157487473086002799023347774928350076383064167741966862589983696222444875755763015415941131242514596675097252231656384154207259590627679291683329192520079525831352551461471531809<190>

GPU: factor 95223402502779182557998085159508674019 found in Step 1 with curve 944 (-sigma 3:1402301022)
GPU: factor 95223402502779182557998085159508674019 found in Step 1 with curve 1597 (-sigma 3:1402301675)
Computing 1792 Step 1 took 209ms of CPU time / 175124ms of GPU time
Throughput: 10.233 curves per second (on average 97.73ms per Step 1)
********** Factor found in step 1: 95223402502779182557998085159508674019
Found prime factor of 38 digits: 95223402502779182557998085159508674019
Prime cofactor 1264083903816157487473086002799023347774928350076383064167741966862589983696222444875755763015415941131242514596675097252231656384154207259590627679291683329192520079525831352551461471531809 has 190 digits
Peak memory usage: 9428MB

10218580966427430636830365007612591840482750846913783627277251550030484841015021034959627687758408338775451944194001687007024453657081713485526016431886132634170728298968182258289812078274815854425930701774367<209>

720221034051555066937491412073104655471<39>
14188117929496573502264788203264281393328028016633732236733049389710307193914329965137632539137225709207785934025909628885279947660870334605712386287972893452764924836177<170>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4047453902
Step 1 took 23544ms
Step 2 took 9038ms
********** Factor found in step 2: 720221034051555066937491412073104655471
Found prime factor of 39 digits: 720221034051555066937491412073104655471
Prime cofactor 14188117929496573502264788203264281393328028016633732236733049389710307193914329965137632539137225709207785934025909628885279947660870334605712386287972893452764924836177 has 170 digits

753355429127991755978649328831360287800967995328741728115851343561371276663135848111746871780206611556455629125097066276630986220891381775361988212055895353171981894993036537173647778888321043968098127744849569114461007<219>

3192670183561647109870910769457419154493<40>

235964063249267743677017736704778614022013018550476964558629048766174123431043696591920589655720740305804742191057484481239238056468280305870482745809301960275587562612072541733499<180>

Resuming ECM residue saved by @27fa1f59e07e with GMP-ECM 7.0.5-dev on Tue Dec 20 13:20:31 2022 
Input number is 753355429127991755978649328831360287800967995328741728115851343561371276663135848111746871780206611556455629125097066276630986220891381775361988212055895353171981894993036537173647778888321043968098127744849569114461007 (219 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1675856283
Step 1 took 0ms
Step 2 took 3650ms
********** Factor found in step 2: 3192670183561647109870910769457419154493
Found prime factor of 40 digits: 3192670183561647109870910769457419154493
Composite cofactor 235964063249267743677017736704778614022013018550476964558629048766174123431043696591920589655720740305804742191057484481239238056468280305870482745809301960275587562612072541733499 has 180 digits

518033488036513348785539945396076049436742600227344344529696819464498411016872169877378908779937132193274782555340602690152231995273925075810128121865015301660678571720765582843382440916089245888803<198>

242286979170623675574507286572421441731211385443558240466484958768924023547500126741915417874392784831640771156579388281976645002876512846126427926181799078271383156505792875446021969<183>

20268997210223806644837315659906627727936013474368146445074225727120837776853964876381027597962577100023410342772790624929422202360333752487579908611189<152>

2165472101446144913865957710207858681916569<43>
9360082356492965737876985463357808746459765006362414226983409483811141036473397901479820612180271429388753981<109>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3129913677
Step 1 took 5812ms
Step 2 took 2735ms
********** Factor found in step 2: 2165472101446144913865957710207858681916569
Found prime factor of 43 digits: 2165472101446144913865957710207858681916569
Prime cofactor 9360082356492965737876985463357808746459765006362414226983409483811141036473397901479820612180271429388753981 has 109 digits
 

GMP-ECM

906764147552938029097246454703685181725114466357604429460211473603669404170358966059406910458319843215034351822443788637907927363352967983842919134767068105508584544752229812614628659<183>

462494488150227791552116506987824489646781811050591236023691185260498863165310954318164910579538331845480781261758262086266279379051382855681775403950862015608146468531206628009491954048269529431048691159102278564379113<219>

1797749799705200368101314403144546333839745483525767465907094403610714474614467532683951127592782305993705099493268207323449699099501900351285211218257446581871374223799946159694888959250581474878152539767896507920489<217>

6459380436477723547946187260334611409345063746771564779730621431491479294666309112894610736211515236399587855424059396692589177744018100980516072358406427693302896119170171565286172009246303<190>

708062948380776155148433018396198356893<39>
9122607603249495410474412664860393846219608363744579577518293100345694299156970674329762562658855835492568936159303520918131635502772548443186397123371<151>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=960039660
Step 1 took 46228ms
Step 2 took 14796ms
********** Factor found in step 2: 708062948380776155148433018396198356893
Found probable prime factor of 39 digits: 708062948380776155148433018396198356893
Probable prime cofactor 9122607603249495410474412664860393846219608363744579577518293100345694299156970674329762562658855835492568936159303520918131635502772548443186397123371 has 151 digits

205781448616473727639338377106258367135383074169516912452294900358405271279486201175100191177370516578293745250344543872248088003468450751174110396878145564910226455656892020622495001546811101152809312239286995732828001655620687<228>

3022445096592091815409517584310084780671749349<46>

68084429010306658839471432658235355309244437671199463795117661882855668946110633376162451022000240766588684510798095878398391890376803545409420254222831081162504846881749741501443363<182>

Resuming ECM residue saved by @8d433fa2566a with GMP-ECM 7.0.5-dev on Mon Dec 19 21:41:24 2022 
Input number is 205781448616473727639338377106258367135383074169516912452294900358405271279486201175100191177370516578293745250344543872248088003468450751174110396878145564910226455656892020622495001546811101152809312239286995732828001655620687 (228 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2334724231
Step 1 took 0ms
Step 2 took 3862ms
********** Factor found in step 2: 3022445096592091815409517584310084780671749349
Found prime factor of 46 digits: 3022445096592091815409517584310084780671749349
Composite cofactor 68084429010306658839471432658235355309244437671199463795117661882855668946110633376162451022000240766588684510798095878398391890376803545409420254222831081162504846881749741501443363 has 182 digits

3255893254700125103340423957554620717473386200804884262246541320446624041574098240315623767541091098497740569870460920769036817403494394748844065978210342130936232115407154064850539226965366441323689794267248164393252225145323113759629<235>

206100935912241517095625772092710760246838770239292658658292858974919142072537528371530690402156925911110223415184189183617270967182100132771904075665825969222151927981333094284810260597<186>

201410684439061781563382245130419482719603356524721188286732522414204727448118936752525241998597693408318042358334002031283584886477844144055465719044820297141115359426243500557796589125503295922429<198>

122855972456038339494744186859302773633<39>

1639404909770526163368766260822201407466389481408100160304050871246813373784427767084455064643634718061762388893956293080941584862686382966909498557625456364413<160>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1550782178
Step 1 took 48752ms
Step 2 took 16112ms
********** Factor found in step 2: 122855972456038339494744186859302773633
Found probable prime factor of 39 digits: 122855972456038339494744186859302773633
Composite cofactor 1639404909770526163368766260822201407466389481408100160304050871246813373784427767084455064643634718061762388893956293080941584862686382966909498557625456364413 has 160 digits

727448674680897874020498908392520378602194624701518240519660102094621330279340821698058014272959573104356410643216528892020988401168696191117863503750948877836678447009017621576555487493046739193891664010775299957391<216>

191877173597977007028882507570134859723177911955663319669421790489031089639378451853238900331524644228370675828564183050666018606370842934020721145075159567172940109<165>

238199623222852952090688466019367873742152775729834602997237001672549445567834544425079880803361686818953612520420690499688567174023797842757413737245861354592120618914170539515986996987923772721013763057<204>

670365676503065673865842477085129562320707524790675255728791999319782323519209918262987615063035058474186225514678578976998215815886574213648012897540839290974888877385538153409743697<183>

17436557755244380063308117388271902999087933902033370888996190782767315843124631149739792907344814635978325017436557755244380063308117388271902999087933902033370888996190782767315843124631149739792907344814635978325017436557755244380063308117388271903<251>

89402446225802473802369825105492164106868041<44>

195034459249639732318196042579053633175419611689487804212023458456349873558035247910453986254564102454295821352684148005826402136944709907403754150645671633603864554758832415954325711587621025103757114444583<207>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:17084519
Step 1 took 7938ms
********** Factor found in step 2: 89402446225802473802369825105492164106868041
Found prime factor of 44 digits: 89402446225802473802369825105492164106868041
Composite cofactor 195034459249639732318196042579053633175419611689487804212023458456349873558035247910453986254564102454295821352684148005826402136944709907403754150645671633603864554758832415954325711587621025103757114444583 has 207 digits

GMP-ECM

473945107736011546261367718366356033973112590213927252868476478311856652104799909911776892212773793972286912377147789077687446492612266085718776212816511963359879759561008253685455354238535088746584514811574842080671901447210903759<231>

46391093120239905928576965164123237009851547042812615665081185170354098773531905432346899747090816658760590707894889854389054708601802534937021364712036475525725435831758824468944248514866019580450318100741201128873765179<221>

51691269921040819570206170025790239897917680236959576494578380575458316804863687511043929830583891602488204867115625185197320434320012234188586092731168848159508958356392895119738854703291247383995501069<203>

638016465969854898777454871520352520381<39>

81018708259299277601406920079602653058312798282879373534878321478604185668995306242058181228621649825534226177491873850379372646825888898283998232140052851190850449<164>

Resuming ECM residue saved by @27fa1f59e07e with GMP-ECM 7.0.5-dev on Tue Dec 20 12:30:22 2022 
Input number is 51691269921040819570206170025790239897917680236959576494578380575458316804863687511043929830583891602488204867115625185197320434320012234188586092731168848159508958356392895119738854703291247383995501069 (203 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2680492292
Step 1 took 0ms
Step 2 took 4886ms
********** Factor found in step 2: 638016465969854898777454871520352520381
Found prime factor of 39 digits: 638016465969854898777454871520352520381
Composite cofactor 81018708259299277601406920079602653058312798282879373534878321478604185668995306242058181228621649825534226177491873850379372646825888898283998232140052851190850449 has 164 digits

480431766448240224288207934674508125690471093669411342629963721582069931699675166708302450855617116424176778854417058792887139253802195165743366651970512964367438579460797332821708774830698695526506979410126154283081453484732963<228>

1072648556985019615047610234842043484242466347206964841465083390258240333590041781125004383718976547552861005961075363129573474122960346988282673831627888505365155492391451436151036688722703733576757096802170285113087163353490120310075940741433920431<250>

36860528608436220354951075020929815282202818625115168928402845984811134277671139140251565714174294052259227487433737028183790520085159196706873521739040484000144523599547304495974685800003110431362628646689<206>

18538378616992480645541570399516602917824911<44>

1988336163047692670789060759091590416457139751942398675226432219921332913620281802247514339873426851892676916982921373915875000581825559563769310244547705191275599<163>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:173712118
Step 1 took 23085ms
Step 2 took 9793ms
********** Factor found in step 2: 18538378616992480645541570399516602917824911
Found prime factor of 44 digits: 18538378616992480645541570399516602917824911
Composite cofactor 1988336163047692670789060759091590416457139751942398675226432219921332913620281802247514339873426851892676916982921373915875000581825559563769310244547705191275599 has 163 digits

42023957146535971787544027234334793209270044121680592390378310576824571399881866984213755193700294458673905034417581465145484914086573071294637262663154359153460205933131545850936494982396863242049549193359381377590083061736151146931008104907048760194857<254>

79428990044128617146856847093333476572807710226519472958306246823531660577938845570136818918261017145782563082031112134702296565001829350068484608713571418462546839951611665782754707605042140897821591790740042295713<215>

899747810371072697153874490483808921695690770616354385045542218363395066628279590677306496796802668172488653633058993643270316480951384788185670402919361242658701773812303605469282133245368672512476494113888901033836567<219>

1462683243370136239373211391265744155390497485957511610470476347547586436123395882145007281204004007391665520721010768182096985245891479741880346080736560794771280481930081830425008473914910815066771529348119814655213851524579<226>

17303803882769142442477473962700255725306239560192337154041079208538709777195886292908618958106957996465233857656436071041600197898361181056794738817476492206469237615339246739267054903669533329055233863734651<209>

12722970828735738031201107303047832077598635188422153349100265970527989281892668667388669815035332180460792295175364621026503973477364832876609197577555022160243177038149513360590556919165048038803321836009346803372401120735010822233415893<239>

7076557424515131779489041742142982026205217361700510615405151349008006803343843170189851788802172914330393558967702537398540289978419568416924171065053483639021294733245437276114510517608424007459056131704280031316923229676680514242900628787295663<247>

16243688353391956303280568546785668320814881777313661031883021142358193002473372884175251378316005994250990546659772590372474071350059161866755515988265511511438060304660472957738316539423556369574437196052331930806998871818383337854789054990251<245>

31633672696116651177412442789637678761886770408730229849832005642712488980516660111255515226187734814349335861327377302779082741947418682260172836575544373735392830658414108645604608159450965926297048699211400449047477977565993263691689093741567503187079581<257>

349467892232419493135432881402592559094572387971475160754011721329014270034687315071715769252363999570094557784448865486422708107881954222707790714452142121555014833703198471655125002875251956459172646453338339750348554469483<225>

41537343358199867021752241739469289752973858947956752637361663194827744205629349414740707293554505959577285679540595908683174961165766568901449999207820907022415830315840403266760127031107085832539087127<203>

591244465780976839393877956630376075631136321587254899782636284692339147822763947548118110446306070733347812197973604266776779046265701079734844078051316216229182462666891488234614365414984638651321810623351077476369<216>

39765812279080532982506384674733637690742113032279476502792840728392814886869342392714455215887313080994902908397053899438414008012612327497171486933331472021325528091389525322282156813192177381766793503656159248845919797408958544070025156091296389136975895853<260>

3449037740980440203322393462819407938572906642853184239828628947082009374062935017030530512159651801511719337362700660377190916878345231493705681158041199809845684233523859583471207703359804750411194880214738067515826950120589387990278256568962920093166303<256>

25703340271653462663051116193254636823269605657771808275858687305895294398546187439354945809054551266735741427876704002943309266307246973748031816148198658507081982029648051674944328542151619496292036132411271476228245977961086091875126687809838938124625769251544830065727<272>

13813593355988190124487462307144662191277<41>
1860728024146669228864983434151214767839512338574498257709938677586584381300362356134035295509226575961579405209898687986991639766606810690946021104047445738200475221565419807802816045318821189355171051769798737875755761966732557851<232>

Resuming ECM residue saved by @8d433fa2566a with GMP-ECM 7.0.5-dev on Mon Dec 19 21:45:50 2022 
Input number is 25703340271653462663051116193254636823269605657771808275858687305895294398546187439354945809054551266735741427876704002943309266307246973748031816148198658507081982029648051674944328542151619496292036132411271476228245977961086091875126687809838938124625769251544830065727 (272 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:208380782
Step 1 took 0ms
Step 2 took 9171ms
********** Factor found in step 2: 13813593355988190124487462307144662191277
Found prime factor of 41 digits: 13813593355988190124487462307144662191277
Prime cofactor 1860728024146669228864983434151214767839512338574498257709938677586584381300362356134035295509226575961579405209898687986991639766606810690946021104047445738200475221565419807802816045318821189355171051769798737875755761966732557851 has 232 digits

379659017095839459392407885461789268184654792895475415194345039190957364177716213593437634568442961085099941233463960518359225600272970312557729448183313119668206980167941112743040692353956893801676428330368903442188108400743794526245099<237>

23781980015489355643250200128182139924975090969485233645610518418627528990395430074170393798325613259580163412073015348602729018927013119673794528866831063980951032432278715678058073679755046535555649823228883878881244384795739412428899009256742302088390753531<260>

192310462067656725079873054221361931488651487114669714316714427884135519659046838519386753508518593724927125943031710754289510433710538251251004097523689322991259410740494228906319436974551356019154386404444615445723866007464959467072731591957850728801239195741062778810861<273>

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