1941635518627610447511502695143384925547484594443322627190135198392243366037856988486581176724661<97>

11807874816832355469228499311675029051981227<44>
164435645596426141732158265234138426091121750351699743<54>

N=1941635518627610447511502695143384925547484594443322627190135198392243366037856988486581176724661
  ( 97 digits)
Divisors found:
p44 factor: 11807874816832355469228499311675029051981227
p54 factor: 164435645596426141732158265234138426091121750351699743
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.18 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1941635518627610447511502695143384925547484594443322627190135198392243366037856988486581176724661
type: gnfs
skew: 561582.20
c0: 481688016650122626264079824
c1: 1221505959140998001572
c2: -4819488535528784
c3: -7692541887
c4: 11340
Y0: -114390867684108123203693
Y1: 4179158611169
rlim: 1620000
alim: 1620000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
Factor base limits: 1620000/1620000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 50/50
Sieved algebraic special-q in [810000, 1050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 151994 x 152220
Total sieving time: 2.10 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,96,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1620000,1620000,25,25,50,50,2.5,2.5,60000
total time: 2.18 hours.
 --------- CPU info (if available) ----------

212407146139842307837099475659036414554689708821531594919669050315921482131291515675420749744337510556660570703528709349279<123>

90516083028199570701021516239502579834232669301<47>
2346623263333970596297802019841326965799125176474431428796626770967350624579<76>

N=212407146139842307837099475659036414554689708821531594919669050315921482131291515675420749744337510556660570703528709349279
  ( 123 digits)
SNFS difficulty: 131 digits.
Divisors found:
p47 factor: 90516083028199570701021516239502579834232669301
p76 factor: 2346623263333970596297802019841326965799125176474431428796626770967350624579
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.84 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 212407146139842307837099475659036414554689708821531594919669050315921482131291515675420749744337510556660570703528709349279
m: 100000000000000000000000000000000
deg: 4
c4: 1045
c0: -1
skew: 0.18
# Murphy_E = 1.28e-08
type: snfs
lss: 1
rlim: 1070000
alim: 1070000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1070000/1070000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [535000, 1135001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 115875 x 116100
Total sieving time: 2.79 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,131.000,4,0,0,0,0,0,0,0,0,1070000,1070000,26,26,47,47,2.3,2.3,100000
total time: 2.84 hours.
 --------- CPU info (if available) ----------

727308753766693718940192241095246905045113197353714332921978576087658047110102283491151699603938048427855372612328395771<120>

184723737520662152717924717107790203<36>
3937278248743430034116174743514978318822462028732405684902174365939921999093946691457<85>

Run 242 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2204495232
Step 1 took 9388ms
Step 2 took 4618ms
********** Factor found in step 2: 184723737520662152717924717107790203
Found prime factor of 36 digits: 184723737520662152717924717107790203
Prime cofactor 3937278248743430034116174743514978318822462028732405684902174365939921999093946691457 has 85 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

5831837217670730783656267956937175574387081670963166866596587293587150221174103552417623447739757694326147767820199<115>

4580528306725651448991131974430118852661<40>
1273180041068137401447723994701320929165435562421580713024566284548033121259<76>

N=5831837217670730783656267956937175574387081670963166866596587293587150221174103552417623447739757694326147767820199
  ( 115 digits)
SNFS difficulty: 135 digits.
Divisors found:
p40 factor: 4580528306725651448991131974430118852661
p76 factor: 1273180041068137401447723994701320929165435562421580713024566284548033121259
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 5.29 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 5831837217670730783656267956937175574387081670963166866596587293587150221174103552417623447739757694326147767820199
m: 1000000000000000000000000000000000
deg: 4
c4: 1045
c0: -1
skew: 0.18
# Murphy_E = 8.146e-09
type: snfs
lss: 1
rlim: 1250000
alim: 1250000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1250000/1250000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [625000, 1425001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 151547 x 151772
Total sieving time: 5.23 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,135.000,4,0,0,0,0,0,0,0,0,1250000,1250000,26,26,47,47,2.3,2.3,100000
total time: 5.29 hours.
 --------- CPU info (if available) ----------

4085931551924347103332274593878669508591977274824525642747662305555806319174677003499504968034264448206357432018119077712169<124>

25144256168024350429038981024811247110067712785693<50>
162499599296970945828725731746020578428953487782428037234365903871003755133<75>

02/17/22 12:27:17, nfs: commencing lattice sieving with 16 threads
02/17/22 12:33:05, nfs: commencing lattice sieving with 16 threads
02/17/22 12:38:56, nfs: commencing lattice sieving with 16 threads
02/17/22 12:44:57, nfs: commencing lattice sieving with 16 threads
02/17/22 12:50:58, nfs: commencing lattice sieving with 16 threads
02/17/22 12:56:57, nfs: commencing lattice sieving with 16 threads
02/17/22 13:02:55, nfs: commencing lattice sieving with 16 threads
02/17/22 13:09:03, nfs: commencing msieve filtering
02/17/22 13:10:04, nfs: raising min_rels by 5.00 percent to 5239959
02/17/22 13:10:04, nfs: commencing lattice sieving with 16 threads
02/17/22 13:16:04, nfs: commencing msieve filtering
02/17/22 13:17:31, nfs: commencing msieve linear algebra
02/17/22 13:18:30, nfs: commencing msieve sqrt
02/17/22 13:19:30, prp75 = 162499599296970945828725731746020578428953487782428037234365903871003755133
02/17/22 13:19:30, C10 = 1076843142
02/17/22 13:19:30, prp50 = 25144256168024350429038981024811247110067712785693
02/17/22 13:19:30, prp5 = 47501

515464942878723140521606384792957822383157522249858077321866773624032964557036388080364664794924147<99>

31049404194771456510266445411977626027<38>
16601443932554574174899666000573970079059525981745244758249561<62>

Run 130 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1740254865
Step 1 took 7816ms
Step 2 took 3838ms
********** Factor found in step 2: 31049404194771456510266445411977626027
Found prime factor of 38 digits: 31049404194771456510266445411977626027
Prime cofactor 16601443932554574174899666000573970079059525981745244758249561 has 62 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

35746050465918297616136258389200390918807895282502730066121744295475088083142809449856003107395615315563277249764143625249982478449091<134>

27231833005861894940967337654943622636302487091666449407497151<62>
1312656788774506711567765062155981637992858855428808631271277503294130941<73>

N=35746050465918297616136258389200390918807895282502730066121744295475088083142809449856003107395615315563277249764143625249982478449091
  ( 134 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=27231833005861894940967337654943622636302487091666449407497151 (pp62)
 r2=1312656788774506711567765062155981637992858855428808631271277503294130941 (pp73)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.92 hours.
Scaled time: 46.98 units (timescale=7.930).
Factorization parameters were as follows:
n: 35746050465918297616136258389200390918807895282502730066121744295475088083142809449856003107395615315563277249764143625249982478449091
m: 100000000000000000000000000000000000
deg: 4
c4: 209
c0: -2
skew: 0.31
# Murphy_E = 3.504e-09
type: snfs
lss: 1
rlim: 1650000
alim: 1650000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1650000/1650000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [825000, 1425001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 235983 x 236208
Total sieving time: 5.89 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,142.000,4,0,0,0,0,0,0,0,0,1650000,1650000,26,26,48,48,2.3,2.3,100000
total time: 5.92 hours.

GNFS, Msieve

2126068595803147059542729811709002241028542400937207410768091421257345085583432591024496534919284949844303<106>

7700389715956374911763935926061471052150061<43>
276098830608223711802314146592617200982955731810542464083858923<63>

Run 165 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1325905022
Step 1 took 7796ms
Step 2 took 4036ms
********** Factor found in step 2: 7700389715956374911763935926061471052150061
Found prime factor of 43 digits: 7700389715956374911763935926061471052150061
Prime cofactor 276098830608223711802314146592617200982955731810542464083858923 has 63 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

2419898639201557931181189331670170228200219931111395245155770740631475441539153800796469<88>

79555376453027473109828310743253469<35>
30417788804385311830366886002919133511451784890547001<53>

02/17/22 00:24:50, starting SIQS on c88: 2419898639201557931181189331670170228200219931111395245155770740631475441539153800796469
02/17/22 00:24:50, random seed: 7670520024133290607
02/17/22 00:24:50, ==== sieve params ====
02/17/22 00:24:50, n = 89 digits, 294 bits
02/17/22 00:24:50, factor base: 67216 primes (max prime = 1794731)
02/17/22 00:24:50, single large prime cutoff: 197420410 (110 * pmax)
02/17/22 00:24:50, double large prime range from 3221059362361 to 2220625341353856
02/17/22 00:24:50, DLP MFB = 1.85
02/17/22 00:24:50, allocating 7 large prime slices of factor base
02/17/22 00:24:50, buckets hold 2048 elements
02/17/22 00:24:50, large prime hashtables have 917504 bytes
02/17/22 00:24:50, using AVX2 enabled 32k sieve core
02/17/22 00:24:50, sieve interval: 8 blocks of size 32768
02/17/22 00:24:50, polynomial A has ~ 11 factors
02/17/22 00:24:50, using multiplier of 13
02/17/22 00:24:50, using multiplier of 13
02/17/22 00:24:50, using Q2(x) polynomials for kN mod 8 = 1
02/17/22 00:24:50, using SPV correction of 20 bits, starting at offset 32
02/17/22 00:24:50, trial factoring cutoff at 92 bits
02/17/22 00:24:50, ==== sieving started (64 threads) ====
02/17/22 00:25:52, trial division touched 29189260 sieve locations out of 223954337792
02/17/22 00:25:52, total reports = 29189260, total surviving reports = 7338618
02/17/22 00:25:52, total blocks sieved = 6835520, avg surviving reports per block = 1.07
02/17/22 00:25:52, dlp-ecm: 7 failures, 701655 attempts, 3101644 outside range, 3254730 prp, 584880 useful
02/17/22 00:25:52, 67901 relations found: 21318 full + 46583 from 844151 partial, using 427159 polys (875 A polys)
02/17/22 00:25:52, on average, sieving found 2.03 rels/poly and 13946.61 rels/sec
02/17/22 00:25:52, trial division touched 29189260 sieve locations out of 223954337792
02/17/22 00:25:52, ==== post processing stage (msieve-1.38) ====
02/17/22 00:25:52, QS elapsed time = 62.0559 seconds.
02/17/22 00:25:52, begin singleton removal with 865469 relations
02/17/22 00:25:52, reduce to 152438 relations in 10 passes
02/17/22 00:25:53, recovered 152438 relations
02/17/22 00:25:53, recovered 128086 polynomials
02/17/22 00:25:53, attempting to build 67901 cycles
02/17/22 00:25:53, found 67900 cycles from 152438 relations in 4 passes
02/17/22 00:25:53, distribution of cycle lengths:
02/17/22 00:25:53,    length 1 : 21318
02/17/22 00:25:53,    length 2 : 15596
02/17/22 00:25:53,    length 3 : 12384
02/17/22 00:25:53,    length 4 : 8020
02/17/22 00:25:53,    length 5 : 4958
02/17/22 00:25:53,    length 6 : 2737
02/17/22 00:25:53,    length 7 : 1452
02/17/22 00:25:53,    length 9+: 1435
02/17/22 00:25:53, largest cycle: 16 relations
02/17/22 00:25:53, matrix is 67216 x 67900 (15.6 MB) with weight 3548439 (52.26/col)
02/17/22 00:25:53, sparse part has weight 3548439 (52.26/col)
02/17/22 00:25:54, filtering completed in 3 passes
02/17/22 00:25:54, matrix is 59748 x 59812 (13.9 MB) with weight 3157294 (52.79/col)
02/17/22 00:25:54, sparse part has weight 3157294 (52.79/col)
02/17/22 00:25:54, saving the first 48 matrix rows for later
02/17/22 00:25:54, matrix is 59700 x 59812 (12.1 MB) with weight 2760048 (46.15/col)
02/17/22 00:25:54, sparse part has weight 2564485 (42.88/col)
02/17/22 00:25:54, matrix includes 64 packed rows
02/17/22 00:25:54, using block size 23924 for processor cache size 12288 kB
02/17/22 00:25:54, commencing Lanczos iteration
02/17/22 00:25:54, memory use: 9.8 MB
02/17/22 00:25:59, lanczos halted after 945 iterations (dim = 59696)
02/17/22 00:25:59, recovered 15 nontrivial dependencies
02/17/22 00:25:59, prp35 = 79555376453027473109828310743253469
02/17/22 00:25:59, prp53 = 30417788804385311830366886002919133511451784890547001
02/17/22 00:25:59, Lanczos elapsed time = 6.8330 seconds.
02/17/22 00:25:59, Sqrt elapsed time = 0.4130 seconds.
02/17/22 00:25:59, SIQS elapsed time = 69.3151 seconds.

2704214949496912877592903679424603309229398387399268523379412345183991741480248476608140890057477988867349348987935302447154004883<130>

145543317412127413833785441019588934835889853753274542908139<60>
18580138185524029100687067655601583257849509231222793203763883577288697<71>

N=2704214949496912877592903679424603309229398387399268523379412345183991741480248476608140890057477988867349348987935302447154004883
  ( 130 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=145543317412127413833785441019588934835889853753274542908139 (pp60)
 r2=18580138185524029100687067655601583257849509231222793203763883577288697 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.76 hours.
Scaled time: 69.01 units (timescale=7.874).
Factorization parameters were as follows:
n: 2704214949496912877592903679424603309229398387399268523379412345183991741480248476608140890057477988867349348987935302447154004883
m: 1000000000000000000000000000000000000
deg: 4
c4: 209
c0: -2
skew: 0.31
# Murphy_E = 2.201e-09
type: snfs
lss: 1
rlim: 1920000
alim: 1920000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1920000/1920000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [960000, 1860001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 281537 x 281762
Total sieving time: 8.72 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,146.000,4,0,0,0,0,0,0,0,0,1920000,1920000,26,26,49,49,2.3,2.3,100000
total time: 8.76 hours.

GNFS, Msieve

5678556027985279397740016338599211952165938835286880742759712690959853100458899766763201371975330404907619<106>

18719348423425694170598016589809024454684433<44>
303352226772970522167668678024522176208265536254089937877269043<63>

18719348423425694170598016589809024454684433 303352226772970522167668678024522176208265536254089937877269043

n: 5678556027985279397740016338599211952165938835286880742759712690959853100458899766763201371975330404907619
skew: 3884.346
c0: -55873832843135367575150
c1: -37568098967402555093
c2: 60901568026784388
c3: 2289387431411
c4: 940616780
c5: 114240
Y0: -180748209301228155981
Y1: 666197333669731
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.081e-06
# f(x) = 114240*x^5+940616780*x^4+2289387431411*x^3+60901568026784388*x^2-37568098967402555093*x-55873832843135367575150
# g(x) = 666197333669731*x-180748209301228155981

cado-nfs 3.0.0

1844116562284375126838160683434892097122295810414229168100489352653321968634136097567001431175628720218399871529487335595684943714738991330005099997<148>

896821243796496545885645922413049521<36>

2056281087274105017441425179082481969119042483593040807179279604459959006354780324084267204179050420583568901357<112>

Run 531 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4175747674
Step 1 took 5557ms
Step 2 took 2989ms
********** Factor found in step 2: 896821243796496545885645922413049521
Found prime factor of 36 digits: 896821243796496545885645922413049521
Composite cofactor 2056281087274105017441425179082481969119042483593040807179279604459959006354780324084267204179050420583568901357 has 112 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

2056281087274105017441425179082481969119042483593040807179279604459959006354780324084267204179050420583568901357<112>

5188369009841028355205772589361333484556899311<46>
396325142520483422057370785212660130965989219678609811703914588387<66>

N=2056281087274105017441425179082481969119042483593040807179279604459959006354780324084267204179050420583568901357
  ( 112 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=5188369009841028355205772589361333484556899311 (pp46)
 r2=396325142520483422057370785212660130965989219678609811703914588387 (pp66)
Version: Msieve v. 1.52 (SVN 927)
Total time: 10.20 hours.
Scaled time: 80.53 units (timescale=7.893).
Factorization parameters were as follows:
n: 2056281087274105017441425179082481969119042483593040807179279604459959006354780324084267204179050420583568901357
m: 1000000000000000000000000000000
deg: 5
c5: 1045
c0: -1
skew: 0.25
# Murphy_E = 1.051e-09
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 2050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 441263 x 441490
Total sieving time: 10.12 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 10.20 hours.

GNFS, Msieve

53249861418281996257777872760820847431211048682961107922503135127415543634215199471631274789288629333530870040457037<116>

21035162380012205990696737981951843474119371<44>
2531468997305220572808703205789336723926413300734240012975390947069944647<73>

Number: 23222_153
N = 53249861418281996257777872760820847431211048682961107922503135127415543634215199471631274789288629333530870040457037 (116 digits)
SNFS difficulty: 156 digits.
Divisors found:
r1=21035162380012205990696737981951843474119371 (pp44)
r2=2531468997305220572808703205789336723926413300734240012975390947069944647 (pp73)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 8.61 hours.
Factorization parameters were as follows:
n: 53249861418281996257777872760820847431211048682961107922503135127415543634215199471631274789288629333530870040457037
m: 1000000000000000000000000000000
deg: 5
c5: 104500
c0: -1
skew: 0.10
# Murphy_E = 8.42e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 7726665
Relations: 972550 relations
Pruned matrix : 544337 x 544563
Polynomial selection time: 0.00 hours.
Total sieving time: 8.33 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.18 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: snfs,156,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 8.61 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz

GGNFS, Msieve

9933450633602059313631831148449478660191387650772195083464749558222853400329467367426456818957396428330391320920797603804559121141519827452635501297051999<154>

608167990046780503131522271014196937<36>

16333399317576669360233069884331908757293753214617213302098602287297849785990607872181352964153573462128128079979793127<119>

Run 394 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:40378187
Step 1 took 11609ms
********** Factor found in step 1: 608167990046780503131522271014196937
Found prime factor of 36 digits: 608167990046780503131522271014196937
Composite cofactor 16333399317576669360233069884331908757293753214617213302098602287297849785990607872181352964153573462128128079979793127 has 119 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

16333399317576669360233069884331908757293753214617213302098602287297849785990607872181352964153573462128128079979793127<119>

41629685729251506078985468435190373174116497<44>
392349810752951384542985256044926378976661307523870557025674319789301452791<75>

Sun Feb 20 14:00:39 2022  Msieve v. 1.53 (SVN unknown)
Sun Feb 20 14:00:39 2022  random seeds: 5503af00 786af6da
Sun Feb 20 14:00:39 2022  factoring 16333399317576669360233069884331908757293753214617213302098602287297849785990607872181352964153573462128128079979793127 (119 digits)
Sun Feb 20 14:00:40 2022  searching for 15-digit factors
Sun Feb 20 14:00:41 2022  commencing number field sieve (119-digit input)
Sun Feb 20 14:00:41 2022  R0: -10000000000000000000000000000000
Sun Feb 20 14:00:41 2022  R1: 1
Sun Feb 20 14:00:41 2022  A0: -1
Sun Feb 20 14:00:41 2022  A1: 0
Sun Feb 20 14:00:41 2022  A2: 0
Sun Feb 20 14:00:41 2022  A3: 0
Sun Feb 20 14:00:41 2022  A4: 0
Sun Feb 20 14:00:41 2022  A5: 104500
Sun Feb 20 14:00:41 2022  skew 0.10, size 2.317e-11, alpha -0.483, combined = 5.409e-10 rroots = 1
Sun Feb 20 14:00:41 2022  
Sun Feb 20 14:00:41 2022  commencing square root phase
Sun Feb 20 14:00:41 2022  reading relations for dependency 1
Sun Feb 20 14:00:42 2022  read 226311 cycles
Sun Feb 20 14:00:42 2022  cycles contain 719426 unique relations
Sun Feb 20 14:01:09 2022  read 719426 relations
Sun Feb 20 14:01:13 2022  multiplying 719426 relations
Sun Feb 20 14:01:48 2022  multiply complete, coefficients have about 26.18 million bits
Sun Feb 20 14:01:48 2022  initial square root is modulo 33092701
Sun Feb 20 14:02:35 2022  sqrtTime: 114
Sun Feb 20 14:02:36 2022  p44 factor: 41629685729251506078985468435190373174116497
Sun Feb 20 14:02:36 2022  p75 factor: 392349810752951384542985256044926378976661307523870557025674319789301452791
Sun Feb 20 14:02:36 2022  elapsed time 00:01:57

5342775393061713613015970107316078930654303963060255343311494373960689217834702451311203703398906611466172684814731143918496211103589743329901<142>

42701392497607704800939876029590547749395152629991<50>
125119465210907028592779338361809342221536198648190388179290115695895225206476769116548400011<93>

N=5342775393061713613015970107316078930654303963060255343311494373960689217834702451311203703398906611466172684814731143918496211103589743329901
  ( 142 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=42701392497607704800939876029590547749395152629991 (pp50)
 r2=125119465210907028592779338361809342221536198648190388179290115695895225206476769116548400011 (pp93)
Version: Msieve v. 1.52 (SVN 927)
Total time: 15.65 hours.
Scaled time: 122.83 units (timescale=7.849).
Factorization parameters were as follows:
n: 5342775393061713613015970107316078930654303963060255343311494373960689217834702451311203703398906611466172684814731143918496211103589743329901
m: 100000000000000000000000000000000
deg: 5
c5: 209
c0: -2
skew: 0.39
# Murphy_E = 5.373e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 648326 x 648554
Total sieving time: 15.52 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 15.65 hours.

GNFS, Msieve

3626498151903682468173449180240211410949480265242962611425731810799517655424646028013365778469167191455361521<109>

71305771995138864573069458419490930861237688970594109<53>
50858409500859370604043351622175785477267240225462352069<56>

3626498151903682468173449180240211410949480265242962611425731810799517655424646028013365778469167191455361521=71305771995138864573069458419490930861237688970594109*50858409500859370604043351622175785477267240225462352069

cado polynomial
n: 3626498151903682468173449180240211410949480265242962611425731810799517655424646028013365778469167191455361521
skew: 30891.767
c0: -91363612147875683107975455
c1: -3278903520980569284026
c2: 770769087869544592
c3: 5993896367006
c4: -292069097
c5: 2820
Y0: -1154393611172421569426
Y1: 4769146979628053
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.804e-06
# f(x) = 2820*x^5-292069097*x^4+5993896367006*x^3+770769087869544592*x^2-3278903520980569284026*x-91363612147875683107975455
# g(x) = 4769146979628053*x-1154393611172421569426

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: 50858409500859370604043351622175785477267240225462352069 71305771995138864573069458419490930861237688970594109
Info:Square Root: Total cpu/real time for sqrt: 78.03/23.8012
Info:Filtering - Singleton removal: Total cpu/real time for purge: 62.3/71.4265
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5123405
Info:Lattice Sieving: Average J: 1904.73 for 77474 special-q, max bucket fill -bkmult 1.0,1s:1.276570
Info:Lattice Sieving: Total time: 7567.27s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.27/0.612632
Info:Linear Algebra: Total cpu/real time for bwc: 1017.32/263.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 611.03, WCT time 156.55, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8960 iterations)
Info:Linear Algebra: Lingen CPU time 43.74, WCT time 11.12
Info:Linear Algebra: Mksol: CPU time 340.08,  WCT time 86.97, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4480 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.97/16.1299
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 20.09/21.4788
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.6s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 249.05
Info:Polynomial Selection (root optimized): Rootsieve time: 248.06
Info:Filtering - Merging: Merged matrix has 285520 rows and total weight 44293565 (155.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 42.95/12.9373
Info:Filtering - Merging: Total cpu/real time for replay: 9.38/7.65227
Info:Quadratic Characters: Total cpu/real time for characters: 10.71/4.16473
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11604/31.160/38.450/43.810/1.059
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 8990/30.250/34.125/38.950/0.873
Info:Polynomial Selection (size optimized): Total time: 715.77
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 83.19/92.1242
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 65.0s
Info:Square Root: Total cpu/real time for sqrt: 78.03/23.8012
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 15944.2/4511.72
Info:root: Cleaning up computation data in /tmp/cado.xd7j1s_o
50858409500859370604043351622175785477267240225462352069 71305771995138864573069458419490930861237688970594109

cado-nfs-3.0.0

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

1743429920967213387083271978201141803279595223552667976001002287982372524080757220063773401630719591489055157841800609469471048420191109818938592752487<151>

471433776487291066419283088322730885507695682739<48>
3698143849508867024589649713712521295843407075298649310587265957772292555948718323744996642489903863933<103>

N=1743429920967213387083271978201141803279595223552667976001002287982372524080757220063773401630719591489055157841800609469471048420191109818938592752487
  ( 151 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=471433776487291066419283088322730885507695682739 (pp48)
 r2=3698143849508867024589649713712521295843407075298649310587265957772292555948718323744996642489903863933 (pp103)
Version: Msieve v. 1.52 (SVN 927)
Total time: 22.02 hours.
Scaled time: 173.62 units (timescale=7.886).
Factorization parameters were as follows:
n: 1743429920967213387083271978201141803279595223552667976001002287982372524080757220063773401630719591489055157841800609469471048420191109818938592752487
m: 100000000000000000000000000000000
deg: 5
c5: 10450
c0: -1
skew: 0.16
# Murphy_E = 3.647e-10
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 3700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 762946 x 763172
Total sieving time: 21.84 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 22.02 hours.

GNFS, Msieve

106521620467521231219171821189268715120648512677195644868949717341618183351110874378277260612252371010979503496121641068904564202818629150514408552193393771499<159>

1136337452139867429702979865610107925256827280124494922364063738752959333642537<79>
93741186006786558395589730482223224451846948225776048848156029227968604625079027<80>

Number: 23222_165
N = 106521620467521231219171821189268715120648512677195644868949717341618183351110874378277260612252371010979503496121641068904564202818629150514408552193393771499 (159 digits)
SNFS difficulty: 168 digits.
Divisors found:
r1=1136337452139867429702979865610107925256827280124494922364063738752959333642537 (pp79)
r2=93741186006786558395589730482223224451846948225776048848156029227968604625079027 (pp80)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 2.79 hours.
Factorization parameters were as follows:
n: 106521620467521231219171821189268715120648512677195644868949717341618183351110874378277260612252371010979503496121641068904564202818629150514408552193393771499
m: 10000000000000000000000000000000000000000000000000000000
deg: 3
c3: 209
c0: -2
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
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 1590620 relations
Pruned matrix : 1351326 x 1351553
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 1.66 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.99 hours.
time per square root: 0.04 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: 2.79 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

5694529940250578367072236096928073709913588966834355920209908081103040615661040887576534820935410393413432723346222900763228327945559546997632210581833036713143<160>

177891273325088970120833159949802332987070483243883471076207166237<66>
32011294504840940703475705639030461507413114859524616296003431417134337201805655622452521472739<95>

N=5694529940250578367072236096928073709913588966834355920209908081103040615661040887576534820935410393413432723346222900763228327945559546997632210581833036713143
  ( 160 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=177891273325088970120833159949802332987070483243883471076207166237 (pp66)
 r2=32011294504840940703475705639030461507413114859524616296003431417134337201805655622452521472739 (pp95)
Version: Msieve v. 1.52 (SVN 927)
Total time: 36.57 hours.
Scaled time: 285.50 units (timescale=7.806).
Factorization parameters were as follows:
n: 5694529940250578367072236096928073709913588966834355920209908081103040615661040887576534820935410393413432723346222900763228327945559546997632210581833036713143
m: 1000000000000000000000000000000000
deg: 5
c5: 104500
c0: -1
skew: 0.10
# Murphy_E = 2.199e-10
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2400000, 5200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 930994 x 931219
Total sieving time: 36.33 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,170.000,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 36.57 hours.

GNFS, Msieve

293560870237547463152574974365483143076530867829972010044682536046352942239001642138250558763155957570851645211187050042948375780866692925923543047110330139<156>

95919870149494969911742533038125910815927<41>
3060480271501838535111922108147387584485738614589479204280028028802048872073665455392443916411481937891719658144957<115>

N=293560870237547463152574974365483143076530867829972010044682536046352942239001642138250558763155957570851645211187050042948375780866692925923543047110330139
  ( 156 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=95919870149494969911742533038125910815927 (pp41)
 r2=3060480271501838535111922108147387584485738614589479204280028028802048872073665455392443916411481937891719658144957 (pp115)
Version: Msieve v. 1.52 (SVN 927)
Total time: 42.19 hours.
Scaled time: 332.68 units (timescale=7.886).
Factorization parameters were as follows:
n: 293560870237547463152574974365483143076530867829972010044682536046352942239001642138250558763155957570851645211187050042948375780866692925923543047110330139
m: 5000000000000000000000000000000000
deg: 5
c5: 1672
c0: -5
skew: 0.31
# Murphy_E = 1.756e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 5850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 972916 x 973144
Total sieving time: 41.96 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 42.19 hours.

GNFS, Msieve

53719625669375868202246132887112290780790874278926552791003913994045334660036046474456301649940678238141351085069661089289769757600926666682128703<146>

1809671252594409794273115707901810832589126963504001674851<58>
29684742790913808662772911898417242531301766843224456743694420635592088400984514953601653<89>

N=53719625669375868202246132887112290780790874278926552791003913994045334660036046474456301649940678238141351085069661089289769757600926666682128703
  ( 146 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=1809671252594409794273115707901810832589126963504001674851 (pp58)
 r2=29684742790913808662772911898417242531301766843224456743694420635592088400984514953601653 (pp89)
Version: Msieve v. 1.52 (SVN 927)
Total time: 46.30 hours.
Scaled time: 361.42 units (timescale=7.806).
Factorization parameters were as follows:
n: 53719625669375868202246132887112290780790874278926552791003913994045334660036046474456301649940678238141351085069661089289769757600926666682128703
m: 10000000000000000000000000000000000
deg: 5
c5: 1045
c0: -1
skew: 0.25
# Murphy_E = 1.744e-10
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2700000, 6200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1106222 x 1106470
Total sieving time: 46.03 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 46.30 hours.

GNFS, Msieve

7479428413276721081299772416603233309220041275954368449247520296989448183953004392195130800206146731991115543914596545813393186473957<133>

23692096615620898926381730380891962706714198478785563<53>
315692972834886763920970716959399402735954115107101875088922383709922482323799039<81>

7479428413276721081299772416603233309220041275954368449247520296989448183953004392195130800206146731991115543914596545813393186473957=23692096615620898926381730380891962706714198478785563*315692972834886763920970716959399402735954115107101875088922383709922482323799039

cado polynomial
n: 7479428413276721081299772416603233309220041275954368449247520296989448183953004392195130800206146731991115543914596545813393186473957
skew: 0.10
type: snfs
c0: -1
c5: 104500
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 104500*x^5-1
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5800000
tasks.lim1 = 5800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
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: 315692972834886763920970716959399402735954115107101875088922383709922482323799039 23692096615620898926381730380891962706714198478785563
Info:Square Root: Total cpu/real time for sqrt: 346.11/105.49
Info:Filtering - Singleton removal: Total cpu/real time for purge: 147.76/139.511
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22428993
Info:Lattice Sieving: Average J: 1893.02 for 882426 special-q, max bucket fill -bkmult 1.0,1s:1.245810
Info:Lattice Sieving: Total time: 135777s
Info:Linear Algebra: Total cpu/real time for bwc: 9247.68/2379.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5821.64, WCT time 1490.03, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24320 iterations)
Info:Linear Algebra: Lingen CPU time 131.98, WCT time 33.58
Info:Linear Algebra: Mksol: CPU time 3172.83,  WCT time 811.87, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12288 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.39/103.993
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 103.9s
Info:Generate Free Relations: Total cpu/real time for freerel: 118.9/32.0873
Info:Filtering - Merging: Merged matrix has 775387 rows and total weight 132473824 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 179.05/49.7226
Info:Filtering - Merging: Total cpu/real time for replay: 25.79/21.6424
Info:Generate Factor Base: Total cpu/real time for makefb: 2.52/1.35401
Info:Quadratic Characters: Total cpu/real time for characters: 24.81/9.82245
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 209.37/172.214
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 159.3s
Info:Square Root: Total cpu/real time for sqrt: 346.11/105.49
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 262738/71251.6
Info:root: Cleaning up computation data in /tmp/cado.b3za1fio
315692972834886763920970716959399402735954115107101875088922383709922482323799039 23692096615620898926381730380891962706714198478785563

cado-nfs-3.0.0

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

10553680645383163960917349887733139526854802058736329322380097676639977538445316256832026064550852478802825575354307169782971560643659033265515448539093<152>

356764411981910203331544490913323737028852609<45>
29581651899512583752037922457786928006195640071095457370425570290017649998937446421111857578694747291489877<107>

10553680645383163960917349887733139526854802058736329322380097676639977538445316256832026064550852478802825575354307169782971560643659033265=356764411981910203331544490913323737028852609*29581651899512583752037922457786928006195640071095457370425570290017649998937446421111857578694747291489877

cado polynomial
n: 10553680645383163960917349887733139526854802058736329322380097676639977538445316256832026064550852478802825575354307169782971560643659033265515448539093
skew: 0.31
type: snfs
c0: -5
c5: 1672
Y0: 50000000000000000000000000000000000
Y1: -1
# f(x) = 1672*x^5-5
# g(x) = -x+50000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6200000
tasks.lim1 = 6200000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 29581651899512583752037922457786928006195640071095457370425570290017649998937446421111857578694747291489877 356764411981910203331544490913323737028852609
Info:Square Root: Total cpu/real time for sqrt: 442.42/135.077
Info:Filtering - Singleton removal: Total cpu/real time for purge: 124.2/104.583
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22422786
Info:Lattice Sieving: Average J: 1894.97 for 906247 special-q, max bucket fill -bkmult 1.0,1s:1.224960
Info:Lattice Sieving: Total time: 146123s
Info:Linear Algebra: Total cpu/real time for bwc: 15115/3881.62
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 9561.8, WCT time 2445.64, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (30976 iterations)
Info:Linear Algebra: Lingen CPU time 176.59, WCT time 44.95
Info:Linear Algebra: Mksol: CPU time 5216.84,  WCT time 1332.44, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15616 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118/32.6601
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 88.51/102.183
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 102.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 212.25/182.139
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 162.7s
Info:Filtering - Merging: Merged matrix has 989202 rows and total weight 169165347 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 247.33/68.6107
Info:Filtering - Merging: Total cpu/real time for replay: 34.8/29.2793
Info:Generate Factor Base: Total cpu/real time for makefb: 2.67/1.44172
Info:Quadratic Characters: Total cpu/real time for characters: 33.34/13.1284
Info:Square Root: Total cpu/real time for sqrt: 442.42/135.077
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 294029/34724
Info:root: Cleaning up computation data in /tmp/cado.ty94n6do
29581651899512583752037922457786928006195640071095457370425570290017649998937446421111857578694747291489877 356764411981910203331544490913323737028852609

cado-nfs-3.0.0

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

12198688253031236478946550988358641796128359004222484849141723818743277078088540264384997560704315702405491313262179237421375781<128>

9862882206091697182541192547582871321502909149<46>
1236827937121347268965273110100323638127341199134439000843056315974572590868430569<82>

12198688253031236478946550988358641796128359004222484849141723818743277078088540264384997560704315702405491313262179237421375781=9862882206091697182541192547582871321502909149*1236827937121347268965273110100323638127341199134439000843056315974572590868430569

cado polynomial
n: 12198688253031236478946550988358641796128359004222484849141723818743277078088540264384997560704315702405491313262179237421375781
skew: 0.10
type: snfs
c0: -1
c5: 104500
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 104500*x^5-1
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7000000
tasks.lim1 = 7000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 9862882206091697182541192547582871321502909149 1236827937121347268965273110100323638127341199134439000843056315974572590868430569
Info:Square Root: Total cpu/real time for sqrt: 320.32/100.122
Info:Filtering - Singleton removal: Total cpu/real time for purge: 112.65/117.343
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22412854
Info:Lattice Sieving: Average J: 1893.98 for 1079793 special-q, max bucket fill -bkmult 1.0,1s:1.187770
Info:Lattice Sieving: Total time: 175158s
Info:Linear Algebra: Total cpu/real time for bwc: 20568.4/5276.87
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 13044.74, WCT time 3336.48, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35840 iterations)
Info:Linear Algebra: Lingen CPU time 224.63, WCT time 56.91
Info:Linear Algebra: Mksol: CPU time 7109.03,  WCT time 1813.87, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (17920 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.9/32.3962
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.34/105.978
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 105.9s
Info:Filtering - Merging: Merged matrix has 1145788 rows and total weight 195208166 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 277.84/77.3668
Info:Filtering - Merging: Total cpu/real time for replay: 40.65/34.3794
Info:Generate Factor Base: Total cpu/real time for makefb: 3.05/1.65843
Info:Quadratic Characters: Total cpu/real time for characters: 38.52/15.2213
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 215.27/178.226
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 165.10000000000002s
Info:Square Root: Total cpu/real time for sqrt: 320.32/100.122
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 347929/93845.2
Info:root: Cleaning up computation data in /tmp/cado.s2trpsgd
9862882206091697182541192547582871321502909149 1236827937121347268965273110100323638127341199134439000843056315974572590868430569

cado-nfs-3.0.0

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

544332306849456351450395206611633650415763258855208441540556663125578883790052999671773008372721087130637995040574594502192618150894805298409169<144>

2918493549252617685480682803659204546061460276637387096031959<61>
186511396260872898099115523570247549692778268299330371183874043111121877463967895191<84>

54433230684945635145039520661163365041576325885520844154055666312557888379005299967177300837272108713063799504057459450219261815089480529=2918493549252617685480682803659204546061460276637387096031959*186511396260872898099115523570247549692778268299330371183874043111121877463967895191

cado polynomial
n: 544332306849456351450395206611633650415763258855208441540556663125578883790052999671773008372721087130637995040574594502192618150894805298409169
skew: 0.39
type: snfs
c0: -2
c5: 209
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 209*x^5-2
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7700000
tasks.lim1 = 7700000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2918493549252617685480682803659204546061460276637387096031959 186511396260872898099115523570247549692778268299330371183874043111121877463967895191
Info:Square Root: Total cpu/real time for sqrt: 261.51/82.7998
Info:Filtering - Singleton removal: Total cpu/real time for purge: 118.08/91.7682
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22418518
Info:Lattice Sieving: Average J: 1896.03 for 994915 special-q, max bucket fill -bkmult 1.0,1s:1.168940
Info:Lattice Sieving: Total time: 181293s
Info:Linear Algebra: Total cpu/real time for bwc: 19514.7/5008.58
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 12381.05, WCT time 3165.3, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (34816 iterations)
Info:Linear Algebra: Lingen CPU time 221.05, WCT time 56.04
Info:Linear Algebra: Mksol: CPU time 6729.58,  WCT time 1719.97, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (17408 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.13/105.454
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 105.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 214.42/176.959
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 163.5s
Info:Generate Free Relations: Total cpu/real time for freerel: 119.03/33.5409
Info:Filtering - Merging: Merged matrix has 1110060 rows and total weight 189352910 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 267.9/74.6067
Info:Filtering - Merging: Total cpu/real time for replay: 39.01/33.1683
Info:Generate Factor Base: Total cpu/real time for makefb: 3.28/1.92631
Info:Quadratic Characters: Total cpu/real time for characters: 36.92/14.6078
Info:Square Root: Total cpu/real time for sqrt: 261.51/82.7998
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 368771/24225.8
Info:root: Cleaning up computation data in /tmp/cado.i6y5_lz0
2918493549252617685480682803659204546061460276637387096031959 186511396260872898099115523570247549692778268299330371183874043111121877463967895191

cado-nfs-3.0.0

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

25242613520284080874527664476794777701773212877724408916027234802618170561886002534194789045295519852674021064475949979<119>

5328625359534102709936709033723014058489071<43>
4737171750143664886113137298019705436573123012893188006416359417848588950549<76>

25242613520284080874527664476794777701773212877724408916027234802618170561886002534194789045295519852674021064475949979=5328625359534102709936709033723014058489071*4737171750143664886113137298019705436573123012893188006416359417848588950549

cado polynomial
n: 25242613520284080874527664476794777701773212877724408916027234802618170561886002534194789045295519852674021064475949979
skew: 59312.365
c0: -22803392092445287588799124240
c1: 187481197050028259305436
c2: 47221052056120605372
c3: 247151260224937
c4: -7183709670
c5: 19800
Y0: -118908145723222528526343
Y1: 65457723391887391
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.599e-06
# f(x) = 19800*x^5-7183709670*x^4+247151260224937*x^3+47221052056120605372*x^2+187481197050028259305436*x-22803392092445287588799124240
# g(x) = 65457723391887391*x-118908145723222528526343

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

cado log (extracts)
Info:Square Root: Factors: 4737171750143664886113137298019705436573123012893188006416359417848588950549 5328625359534102709936709033723014058489071
Info:Square Root: Total cpu/real time for sqrt: 170.15/51.2617
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 129.76/111.163
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 100.1s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 52.43/57.4085
Info:Linear Algebra: Total cpu/real time for bwc: 3938/1023.47
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2403.24, WCT time 621.83, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (20224 iterations)
Info:Linear Algebra: Lingen CPU time 107.4, WCT time 27.31
Info:Linear Algebra: Mksol: CPU time 1364.96,  WCT time 352.35, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10240 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13431556
Info:Lattice Sieving: Average J: 1909.5 for 232410 special-q, max bucket fill -bkmult 1.0,1s:1.254650
Info:Lattice Sieving: Total time: 28780.2s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.15/1.36797
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1067.33
Info:Polynomial Selection (root optimized): Rootsieve time: 1064.92
Info:Generate Free Relations: Total cpu/real time for freerel: 126.68/32.6895
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.64/58.5632
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 58.5s
Info:Filtering - Merging: Merged matrix has 639508 rows and total weight 64613817 (101.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 47.27/15.7629
Info:Filtering - Merging: Total cpu/real time for replay: 15.37/12.1127
Info:Quadratic Characters: Total cpu/real time for characters: 19.66/7.57404
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20282/34.490/42.252/48.490/1.026
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16105/33.960/37.411/42.780/0.829
Info:Polynomial Selection (size optimized): Total time: 2269.15
Info:Square Root: Total cpu/real time for sqrt: 170.15/51.2617
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 61192.2/16872.6
Info:root: Cleaning up computation data in /tmp/cado.fq7jbv9p
4737171750143664886113137298019705436573123012893188006416359417848588950549 5328625359534102709936709033723014058489071

cado-nfs-3.0.0

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

13894836195690865421830617551666323156782596162943541356912725506805739286889091401607673686446391646627469732079880785349522328389842884839513557667507544377676754569<167>

4212715358353812296405654031230864040133<40>

3298308813610540455183552877709413215387866457976966512620175606705030184345430469406095174505547183903669023174158630962293493<127>

Run 316 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1326822141
Step 1 took 14092ms
Step 2 took 6217ms
********** Factor found in step 2: 4212715358353812296405654031230864040133
Found prime factor of 40 digits: 4212715358353812296405654031230864040133
Composite cofactor 3298308813610540455183552877709413215387866457976966512620175606705030184345430469406095174505547183903669023174158630962293493 has 127 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

3298308813610540455183552877709413215387866457976966512620175606705030184345430469406095174505547183903669023174158630962293493<127>

176164372374506427534714486752699647051722791<45>
18722905029847307487257984500587529262553457904310615713748199112711411673987752323<83>

3298308813610540455183552877709413215387866457976966512620175606705030184345430469406095174505547183903669023174158630962293493=176164372374506427534714486752699647051722791*18722905029847307487257984500587529262553457904310615713748199112711411673987752323

cado polynomial
n: 3298308813610540455183552877709413215387866457976966512620175606705030184345430469406095174505547183903669023174158630962293493
skew: 20744.759
c0: 1460626566877981247089101264
c1: -467047042782363273053956
c2: -31262469815108018718
c3: 751174459223731
c4: -41740812726
c5: 595080
Y0: -1754893875923268204624869
Y1: 24021218309429197
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.178e-07
# f(x) = 595080*x^5-41740812726*x^4+751174459223731*x^3-31262469815108018718*x^2-467047042782363273053956*x+1460626566877981247089101264
# g(x) = 24021218309429197*x-1754893875923268204624869

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: 18722905029847307487257984500587529262553457904310615713748199112711411673987752323 176164372374506427534714486752699647051722791
Info:Square Root: Total cpu/real time for sqrt: 319.25/94.8496
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 201.1/194.302
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 160.20000000000005s
Info:Square Root: Total cpu/real time for sqrt: 319.25/94.8496
Info:Filtering - Singleton removal: Total cpu/real time for purge: 138.61/161.025
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12297393
Info:Lattice Sieving: Average J: 3792 for 266795 special-q, max bucket fill -bkmult 1.0,1s:1.202330
Info:Lattice Sieving: Total time: 77534.4s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.62/2.30541
Info:Linear Algebra: Total cpu/real time for bwc: 10915.4/2806.89
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6877.22, WCT time 1761.52, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26368 iterations)
Info:Linear Algebra: Lingen CPU time 148.78, WCT time 37.82
Info:Linear Algebra: Mksol: CPU time 3755.66,  WCT time 958.97, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13312 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 125.96/32.7569
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 52.32/60.6808
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 60.1s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3035.88
Info:Polynomial Selection (root optimized): Rootsieve time: 3033.43
Info:Filtering - Merging: Merged matrix has 842320 rows and total weight 143937679 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 176.71/50.9224
Info:Filtering - Merging: Total cpu/real time for replay: 32.06/26.5578
Info:Quadratic Characters: Total cpu/real time for characters: 31.62/12.5755
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): 20223/38.690/45.097/48.420/0.845
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16029/36.800/40.493/46.080/1.052
Info:Polynomial Selection (size optimized): Total time: 1947.92
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 161168/43572.9
Info:root: Cleaning up computation data in /tmp/cado.xmdd8znz
18722905029847307487257984500587529262553457904310615713748199112711411673987752323 176164372374506427534714486752699647051722791

cado-nfs-3.0.0

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

110383825765210522020164766996185453552550026870158771812363934612980382639959262835360939434323496753139069346056571318692938723185849925000648379780514255288982380590039467<174>

48671327825735597939148229974487097177345746747<47>

2267943586015001582550058267063247374218308342621356969551521701594593286364947916022829973454235172145471190646277314471495761<127>

Run 545 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3569997061
Step 1 took 14357ms
Step 2 took 6081ms
********** Factor found in step 2: 48671327825735597939148229974487097177345746747
Found prime factor of 47 digits: 48671327825735597939148229974487097177345746747
Composite cofactor 2267943586015001582550058267063247374218308342621356969551521701594593286364947916022829973454235172145471190646277314471495761 has 127 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

2267943586015001582550058267063247374218308342621356969551521701594593286364947916022829973454235172145471190646277314471495761<127>

3547367747222906564123834635756117519246085395725191973102247<61>
639331399399028932134432492457496598640530706033319975206863598663<66>

2267943586015001582550058267063247374218308342621356969551521701594593286364947916022829973454235172145471190646277314471495761=3547367747222906564123834635756117519246085395725191973102247*639331399399028932134432492457496598640530706033319975206863598663

cado polynomial
n: 2267943586015001582550058267063247374218308342621356969551521701594593286364947916022829973454235172145471190646277314471495761
skew: 95940.402
c0: 157795773184056042863503634200
c1: 1550617058822738417760851
c2: -8627710878404010292
c3: -1074574507130951
c4: -1859356578
c5: 28080
Y0: -3447415188143770915513394
Y1: 239330838302287897
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.561e-07
# f(x) = 28080*x^5-1859356578*x^4-1074574507130951*x^3-8627710878404010292*x^2+1550617058822738417760851*x+157795773184056042863503634200
# g(x) = 239330838302287897*x-3447415188143770915513394

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: 639331399399028932134432492457496598640530706033319975206863598663 3547367747222906564123834635756117519246085395725191973102247
Info:Square Root: Total cpu/real time for sqrt: 540.03/159.74
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 162.79/150.454
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 127.1s
Info:Square Root: Total cpu/real time for sqrt: 540.03/159.74
Info:Filtering - Singleton removal: Total cpu/real time for purge: 95.31/109.256
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11899844
Info:Lattice Sieving: Average J: 3809.03 for 216482 special-q, max bucket fill -bkmult 1.0,1s:1.194960
Info:Lattice Sieving: Total time: 64695.3s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.55/2.30123
Info:Linear Algebra: Total cpu/real time for bwc: 10260.7/2640.66
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6471.48, WCT time 1657.83, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25856 iterations)
Info:Linear Algebra: Lingen CPU time 143.28, WCT time 36.4
Info:Linear Algebra: Mksol: CPU time 3514.7,  WCT time 898.48, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13056 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 126.47/32.9526
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.92/56.6517
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 56.300000000000004s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2779.02
Info:Polynomial Selection (root optimized): Rootsieve time: 2776.66
Info:Filtering - Merging: Merged matrix has 820619 rows and total weight 140158476 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 165.85/48.2728
Info:Filtering - Merging: Total cpu/real time for replay: 31.16/25.7286
Info:Quadratic Characters: Total cpu/real time for characters: 31.11/12.3429
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): 20177/37.670/45.034/48.790/0.851
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15982/36.890/40.439/45.840/1.047
Info:Polynomial Selection (size optimized): Total time: 1948.08
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 136565/36932.1
Info:root: Cleaning up computation data in /tmp/cado.v9oaj6tl
639331399399028932134432492457496598640530706033319975206863598663 3547367747222906564123834635756117519246085395725191973102247

cado-nfs-3.0.0

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

1073595486713016384296705675661131020768349856150637814518917400025786119523808993213916860571320960256223828125987853<118>

3785796624767182157145480964676590140136695939347<49>
283585092682848501889830205582029037005745051580464197535630033877599<69>

1073595486713016384296705675661131020768349856150637814518917400025786119523808993213916860571320960256223828125987853=3785796624767182157145480964676590140136695939347*283585092682848501889830205582029037005745051580464197535630033877599

cado polynomial
n: 1073595486713016384296705675661131020768349856150637814518917400025786119523808993213916860571320960256223828125987853
skew: 22841.024
c0: 585666198693320582886214348
c1: -32244080776921876971470
c2: -6312331218816762417
c3: 173629062833543
c4: 5515327256
c5: 65520
Y0: -36421013029678291340562
Y1: 9758810720829143
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.917e-06
# f(x) = 65520*x^5+5515327256*x^4+173629062833543*x^3-6312331218816762417*x^2-32244080776921876971470*x+585666198693320582886214348
# g(x) = 9758810720829143*x-36421013029678291340562

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

cado log (extracts)
Info:Square Root: Factors: 283585092682848501889830205582029037005745051580464197535630033877599 3785796624767182157145480964676590140136695939347
Info:Square Root: Total cpu/real time for sqrt: 239.35/70.2616
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 126.13/107.591
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 95.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 65.24/65.3181
Info:Linear Algebra: Total cpu/real time for bwc: 2474.78/644.22
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1493.68, WCT time 387.06, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16128 iterations)
Info:Linear Algebra: Lingen CPU time 84.07, WCT time 21.41
Info:Linear Algebra: Mksol: CPU time 866.32,  WCT time 223.35, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8064 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13424824
Info:Lattice Sieving: Average J: 1896.7 for 178465 special-q, max bucket fill -bkmult 1.0,1s:1.246570
Info:Lattice Sieving: Total time: 22991.7s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.12/1.36654
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1076.4
Info:Polynomial Selection (root optimized): Rootsieve time: 1073.94
Info:Generate Free Relations: Total cpu/real time for freerel: 126.33/32.8682
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.43/58.1251
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 58.0s
Info:Filtering - Merging: Merged matrix has 515414 rows and total weight 52278498 (101.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 37.76/12.3227
Info:Filtering - Merging: Total cpu/real time for replay: 11.85/9.35061
Info:Quadratic Characters: Total cpu/real time for characters: 15.29/5.89833
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 19946/34.970/41.716/46.710/1.032
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15659/32.990/36.935/42.190/0.822
Info:Polynomial Selection (size optimized): Total time: 2321.54
Info:Square Root: Total cpu/real time for sqrt: 239.35/70.2616
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 49004.1/13614.7
Info:root: Cleaning up computation data in /tmp/cado.v75ox1ft
283585092682848501889830205582029037005745051580464197535630033877599 3785796624767182157145480964676590140136695939347

cado-nfs-3.0.0

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

624430894816306709100593039983331544852153326283331204222605488615133406051301398958710178286105394873979883674115050144979293139645956751456175947525592316761<159>

106339400513854049797939540726201506661<39>

5872055811852681598171184825445001073861638474870010114088890335157457398495295798878382572986861011022151146805903504101<121>

Run 337 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3414860864
Step 1 took 14075ms
Step 2 took 5950ms
********** Factor found in step 2: 106339400513854049797939540726201506661
Found prime factor of 39 digits: 106339400513854049797939540726201506661
Composite cofactor 5872055811852681598171184825445001073861638474870010114088890335157457398495295798878382572986861011022151146805903504101 has 121 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

5872055811852681598171184825445001073861638474870010114088890335157457398495295798878382572986861011022151146805903504101<121>

9719139289164262432181822012198502223764186863417100377<55>
604174468247343422814764559522360343808763047328026175918682549613<66>

5872055811852681598171184825445001073861638474870010114088890335157457398495295798878382572986861011022151146805903504101=9719139289164262432181822012198502223764186863417100377*604174468247343422814764559522360343808763047328026175918682549613

cado polynomial
n: 5872055811852681598171184825445001073861638474870010114088890335157457398495295798878382572986861011022151146805903504101
skew: 107369.959
c0: -78115186112737908437695282968
c1: 11056428501099808063718609
c2: -148354467237092159652
c3: -2189614611110789
c4: 1525731360
c5: 36000
Y0: -396285164066529737892692
Y1: 13594794097169183
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.344e-06
# f(x) = 36000*x^5+1525731360*x^4-2189614611110789*x^3-148354467237092159652*x^2+11056428501099808063718609*x-78115186112737908437695282968
# g(x) = 13594794097169183*x-396285164066529737892692

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

cado log (extracts)
Info:Square Root: Factors: 9719139289164262432181822012198502223764186863417100377 604174468247343422814764559522360343808763047328026175918682549613
Info:Square Root: Total cpu/real time for sqrt: 434.04/127.008
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 166.86/155.506
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 131.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 86.11/100.748
Info:Linear Algebra: Total cpu/real time for bwc: 5791.02/1505.03
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3542.13, WCT time 917.33, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24320 iterations)
Info:Linear Algebra: Lingen CPU time 131.81, WCT time 33.52
Info:Linear Algebra: Mksol: CPU time 2037.1,  WCT time 525.73, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12288 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13758303
Info:Lattice Sieving: Average J: 1914.81 for 295691 special-q, max bucket fill -bkmult 1.0,1s:1.287540
Info:Lattice Sieving: Total time: 36019.3s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.13/1.3726
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2144.49
Info:Polynomial Selection (root optimized): Rootsieve time: 2142.07
Info:Generate Free Relations: Total cpu/real time for freerel: 126.96/33.0179
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 56.55/61.3975
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 61.2s
Info:Filtering - Merging: Merged matrix has 773077 rows and total weight 78219721 (101.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 57.62/19.1994
Info:Filtering - Merging: Total cpu/real time for replay: 19.27/15.2512
Info:Quadratic Characters: Total cpu/real time for characters: 24.59/9.48166
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20178/36.100/43.206/47.570/1.038
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16132/33.780/38.245/43.690/0.856
Info:Polynomial Selection (size optimized): Total time: 2252
Info:Square Root: Total cpu/real time for sqrt: 434.04/127.008
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 77729.9/21249.9
Info:root: Cleaning up computation data in /tmp/cado.nodxw5zz
9719139289164262432181822012198502223764186863417100377 604174468247343422814764559522360343808763047328026175918682549613

cado-nfs-3.0.0

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

110531875997643091315975573370497283036745760998242321639990321674136805315219364135504236296452857449189959997132076431260203956707142556556993237791677049320597372884520407<174>

18929000010649646046650509391970902864429<41>

5839287650454685650275011293456209554719019338503904302481328810686943939391017730221093723368236165662359314279906543216400021403283<133>

Run 246 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1615876174
Step 1 took 14404ms
Step 2 took 6068ms
********** Factor found in step 2: 18929000010649646046650509391970902864429
Found prime factor of 41 digits: 18929000010649646046650509391970902864429
Composite cofactor 5839287650454685650275011293456209554719019338503904302481328810686943939391017730221093723368236165662359314279906543216400021403283 has 133 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

5839287650454685650275011293456209554719019338503904302481328810686943939391017730221093723368236165662359314279906543216400021403283<133>

13169882492652040193630695905060574721595546834746688673<56>
443381909725666732547573881972818340441809648928412276152505607616481116027571<78>

5839287650454685650275011293456209554719019338503904302481328810686943939391017730221093723368236165662359314279906543216400021403283=13169882492652040193630695905060574721595546834746688673*443381909725666732547573881972818340441809648928412276152505607616481116027571

cado polynomial
n: 5839287650454685650275011293456209554719019338503904302481328810686943939391017730221093723368236165662359314279906543216400021403283
skew: 0.39
type: snfs
c0: -2
c5: 209
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 209*x^5-2
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11200000
tasks.lim1 = 11200000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 13169882492652040193630695905060574721595546834746688673 443381909725666732547573881972818340441809648928412276152505607616481116027571
Info:Square Root: Total cpu/real time for sqrt: 589.4/187.835
Info:Generate Free Relations: Total cpu/real time for freerel: 118.92/31.7655
Info:Filtering - Singleton removal: Total cpu/real time for purge: 351.82/414.877
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26231975
Info:Lattice Sieving: Average J: 1896.06 for 1946767 special-q, max bucket fill -bkmult 1.0,1s:1.162740
Info:Lattice Sieving: Total time: 439089s
Info:Linear Algebra: Total cpu/real time for bwc: 74092.8/18991.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 47504.72, WCT time 12123.31, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (65792 iterations)
Info:Linear Algebra: Lingen CPU time 473.15, WCT time 119.87
Info:Linear Algebra: Mksol: CPU time 25708.62,  WCT time 6580.39, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (33024 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 108.23/126.895
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 125.9s
Info:Filtering - Merging: Merged matrix has 2101201 rows and total weight 358883250 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 574.34/159.044
Info:Filtering - Merging: Total cpu/real time for replay: 82.52/73.1914
Info:Generate Factor Base: Total cpu/real time for makefb: 4.76/2.35536
Info:Quadratic Characters: Total cpu/real time for characters: 75.17/31.7725
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 460.38/458.433
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 372.9000000000001s
Info:Square Root: Total cpu/real time for sqrt: 589.4/187.835
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 921685/87522.2
Info:root: Cleaning up computation data in /tmp/cado.9vz_5nbx
13169882492652040193630695905060574721595546834746688673 443381909725666732547573881972818340441809648928412276152505607616481116027571

cado-nfs-3.0.0

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

107442313161024380597865226019338177668656003203006988971804235434771326658962770596667569585341265221016323076777507739750931999304532475026866614770708688127<159>

8571417597960051904787020651597938458446544528582710039969<58>
12534952583175393676245442228072699172648700061158376319658894478898641911563353027241140027356020383<101>

107442313161024380597865226019338177668656003203006988971804235434771326658962770596667569585341265221016323076777507739750931999304532475026866614770708688127=8571417597960051904787020651597938458446544528582710039969*12534952583175393676245442228072699172648700061158376319658894478898641911563353027241140027356020383

cado polynomial
n: 107442313161024380597865226019338177668656003203006988971804235434771326658962770596667569585341265221016323076777507739750931999304532475026866614770708688127
skew: 0.16
type: snfs
c0: -1
c5: 10450
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 10450*x^5-1
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12000000
tasks.lim1 = 12000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 8571417597960051904787020651597938458446544528582710039969 12534952583175393676245442228072699172648700061158376319658894478898641911563353027241140027356020383
Info:Square Root: Total cpu/real time for sqrt: 750.38/233.927
Info:Filtering - Singleton removal: Total cpu/real time for purge: 419.19/466.364
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28941878
Info:Lattice Sieving: Average J: 1893.78 for 3244068 special-q, max bucket fill -bkmult 1.0,1s:1.132280
Info:Lattice Sieving: Total time: 682972s
Info:Linear Algebra: Total cpu/real time for bwc: 108043/27607.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 69197.27, WCT time 17629.49, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (78336 iterations)
Info:Linear Algebra: Lingen CPU time 536.69, WCT time 136.1
Info:Linear Algebra: Mksol: CPU time 37418.48,  WCT time 9537.64, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (39424 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.22/32.4646
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 121.55/145.115
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 144.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 527.13/494.176
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 393.19999999999993s
Info:Filtering - Merging: Merged matrix has 2499768 rows and total weight 425411168 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 680.41/188.35
Info:Filtering - Merging: Total cpu/real time for replay: 96.9/84.5234
Info:Generate Factor Base: Total cpu/real time for makefb: 5.09/2.50095
Info:Quadratic Characters: Total cpu/real time for characters: 86.73/39.2928
Info:Square Root: Total cpu/real time for sqrt: 750.38/233.927
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.42049e+06/149089
Info:root: Cleaning up computation data in /tmp/cado.zxcth442
8571417597960051904787020651597938458446544528582710039969 12534952583175393676245442228072699172648700061158376319658894478898641911563353027241140027356020383

cado-nfs-3.0.0

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

116111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<195>

71335532431798701389691290000345484139439034733<47>
17421278543120145344375231574926721400696706439357922463179<59>
93430322803051703592521184505086177873836111407575519911750701617222421091150578600684073<89>

Number: n
N=116111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111  ( 195 digits)
SNFS difficulty: 195 digits.
Divisors found:

Sun Feb 20 00:24:04 2022  found factor: 17421278543120145344375231574926721400696706439357922463179
Sun Feb 20 00:26:12 2022  p47 factor: 71335532431798701389691290000345484139439034733
Sun Feb 20 00:26:12 2022  p59 factor: 17421278543120145344375231574926721400696706439357922463179
Sun Feb 20 00:26:12 2022  p89 factor: 93430322803051703592521184505086177873836111407575519911750701617222421091150578600684073
Sun Feb 20 00:26:12 2022  elapsed time 01:06:00 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.293).
Factorization parameters were as follows:
#
# N = 209x10^193-2 = 232(193)
#
n: 116111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 100000000000000000000000000000000000000
deg: 5
c5: 104500
c0: -1
skew: 0.10
# Murphy_E = 2.138e-11
type: snfs
lss: 1
rlim: 12500000
alim: 12500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12500000/12500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5224172 hash collisions in 39457745 relations (35574144 unique)
Msieve: matrix is 1583115 x 1583340 (542.2 MB)

Sieving start time : 2022/02/19 13:45:53
Sieving end time  : 2022/02/19 23:19:32

Total sieving time: 9hrs 33min 39secs.

Total relation processing time: 0hrs 50min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 16sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12500000,12500000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118211] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197528K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529708K reserved, 0K cma-reserved)
[    0.153519] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.18 BogoMIPS (lpj=12798376)
[    0.152049] smpboot: Total of 16 processors activated (102387.00 BogoMIPS)

415427043824452289484057770170828888467318485151805012604013914212790302274337490060423464233278330869978763981919369137470744775627691044924907587928530494881<159>

128398670052363536780996141576038125034886509<45>
3235446626160791705024181953204851581229912013483651940813787163178272896454821612442934469399779689852980748440709<115>

Number: n
N=415427043824452289484057770170828888467318485151805012604013914212790302274337490060423464233278330869978763981919369137470744775627691044924907587928530494881  ( 159 digits)
SNFS difficulty: 196 digits.
Divisors found:

Tue Mar  8 17:56:25 2022  p45 factor: 128398670052363536780996141576038125034886509
Tue Mar  8 17:56:25 2022  p115 factor: 3235446626160791705024181953204851581229912013483651940813787163178272896454821612442934469399779689852980748440709
Tue Mar  8 17:56:25 2022  elapsed time 01:09:12 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.307).
Factorization parameters were as follows:
#
# N = 209x10^194-2 = 232(194)
#
n: 415427043824452289484057770170828888467318485151805012604013914212790302274337490060423464233278330869978763981919369137470744775627691044924907587928530494881
m: 500000000000000000000000000000000000000
deg: 5
c5: 1672
c0: -5
skew: 0.31
# Murphy_E = 1.69e-11
type: snfs
lss: 1
rlim: 13300000
alim: 13300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13300000/13300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5069328 hash collisions in 34451270 relations (31161466 unique)
Msieve: matrix is 1658798 x 1659025 (574.7 MB)

Sieving start time : 2022/03/08 07:05:29
Sieving end time  : 2022/03/08 16:46:38

Total sieving time: 9hrs 41min 9secs.

Total relation processing time: 0hrs 57min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 7sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13300000,13300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

4757007243004277297789884903385481357142223855832780542151642715107661528956974122967580466553118016750377705508768397152128010347090581742804411562795577<154>

163673133476065375712774766719580845058997<42>

29064068989061756242976017486108824512896394690300551738049091863043503905564953806329672791164862921751069841141<113>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2851029430
Step 1 took 2500ms
********** Factor found in step 2: 163673133476065375712774766719580845058997
Found prime factor of 42 digits: 163673133476065375712774766719580845058997
Composite cofactor 29064068989061756242976017486108824512896394690300551738049091863043503905564953806329672791164862921751069841141 has 113 digits

GMP-ECM

29064068989061756242976017486108824512896394690300551738049091863043503905564953806329672791164862921751069841141<113>

8464109668354699198541694436524118106325446069<46>
3433801088107993752553598626072349387892662572955889922058745089089<67>

n: 29064068989061756242976017486108824512896394690300551738049091863043503905564953806329672791164862921751069841141
skew: 16069.246
c0: -1669374548029349113102800
c1: -1936524699559723252360
c2: 54874892081570707
c3: 3135650170789
c4: 313620232
c5: 6960
Y0: -6990742265271297538594
Y1: 68136200577457
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.310e-06
# f(x) = 6960*x^5+313620232*x^4+3135650170789*x^3+54874892081570707*x^2-1936524699559723252360*x-1669374548029349113102800
# g(x) = 68136200577457*x-6990742265271297538594

3433801088107993752553598626072349387892662572955889922058745089089 8464109668354699198541694436524118106325446069

cado-nfs 3.0.0

288905793047582153225435375942018203448685465453110067667512215993822918097677612203924115670781392034279206915270308725571485216706098140941730499<147>

32055677642440466029063578220090312148108112646566013043129<59>
9012624729700992486643367362366715808684941862572864862914119235395063166737278946301531<88>

288905793047582153225435375942018203448685465453110067667512215993822918097677612203924115670781392034279206915270308725571485216706098140941730499=32055677642440466029063578220090312148108112646566013043129*9012624729700992486643367362366715808684941862572864862914119235395063166737278946301531

cado polynomial
n: 288905793047582153225435375942018203448685465453110067667512215993822918097677612203924115670781392034279206915270308725571485216706098140941730499
skew: 0.10
type: snfs
c0: -1
c5: 104500
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 104500*x^5-1
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15100000
tasks.lim1 = 15100000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 9012624729700992486643367362366715808684941862572864862914119235395063166737278946301531 32055677642440466029063578220090312148108112646566013043129
Info:Square Root: Total cpu/real time for sqrt: 1182.62/364.367
Info:Filtering - Singleton removal: Total cpu/real time for purge: 647.51/709.735
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 48056724
Info:Lattice Sieving: Average J: 1893.72 for 4329442 special-q, max bucket fill -bkmult 1.0,1s:1.077480
Info:Lattice Sieving: Total time: 1.15002e+06s
Info:Generate Free Relations: Total cpu/real time for freerel: 237.98/61.5456
Info:Linear Algebra: Total cpu/real time for bwc: 211637/54220.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 136491.79, WCT time 34864.42, iteration CPU time 0.31, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (106496 iterations)
Info:Linear Algebra: Lingen CPU time 745.55, WCT time 189.23
Info:Linear Algebra: Mksol: CPU time 73063.99,  WCT time 18679.83, iteration CPU time 0.33, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (53248 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 205.69/244.225
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 243.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 889.28/800.055
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 641.4999999999999s
Info:Filtering - Merging: Merged matrix has 3391620 rows and total weight 577713804 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 977.14/269.832
Info:Filtering - Merging: Total cpu/real time for replay: 136.09/117.568
Info:Generate Factor Base: Total cpu/real time for makefb: 6.41/2.8206
Info:Quadratic Characters: Total cpu/real time for characters: 122.8/52.8799
Info:Square Root: Total cpu/real time for sqrt: 1182.62/364.367
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.43719e+06/148996
Info:root: Cleaning up computation data in /tmp/cado.mb3epuvq
9012624729700992486643367362366715808684941862572864862914119235395063166737278946301531 32055677642440466029063578220090312148108112646566013043129

cado-nfs-3.0.0

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

24268608290036579079680349331713769782322274479980818728684624631810443392131276357546038204718908683585430746913964793096357125568659548212472970198981<152>

97390379519614680066143708204253463650246730211322931719807647749259923<71>
249188969277492312998844243523791453899798689875419655570536494388488609115026247<81>

24268608290036579079680349331713769782322274479980818728684624631810443392131276357546038204718908683585430746913964793096357125568659548212472970198981=97390379519614680066143708204253463650246730211322931719807647749259923*249188969277492312998844243523791453899798689875419655570536494388488609115026247

cado polynomial
n: 24268608290036579079680349331713769782322274479980818728684624631810443392131276357546038204718908683585430746913964793096357125568659548212472970198981
skew: 0.31
type: snfs
c0: -5
c5: 1672
Y0: 5000000000000000000000000000000000000000
Y1: -1
# f(x) = 1672*x^5-5
# g(x) = -x+5000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16100000
tasks.lim1 = 16100000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 97390379519614680066143708204253463650246730211322931719807647749259923 249188969277492312998844243523791453899798689875419655570536494388488609115026247
Info:Square Root: Total cpu/real time for sqrt: 1262.67/391.904
Info:Filtering - Singleton removal: Total cpu/real time for purge: 651.12/727.333
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 50304194
Info:Lattice Sieving: Average J: 1895.24 for 5639151 special-q, max bucket fill -bkmult 1.0,1s:1.154990
Info:Lattice Sieving: Total time: 1.46404e+06s
Info:Generate Free Relations: Total cpu/real time for freerel: 237.85/61.8587
Info:Linear Algebra: Total cpu/real time for bwc: 288241/73831.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 185702.46, WCT time 47415.88, iteration CPU time 0.37, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (121856 iterations)
Info:Linear Algebra: Lingen CPU time 863.89, WCT time 219.59
Info:Linear Algebra: Mksol: CPU time 100061.91,  WCT time 25584.21, iteration CPU time 0.4, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (60928 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 215.71/256.354
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 255.39999999999998s
Info:Filtering - Merging: Merged matrix has 3896199 rows and total weight 663171111 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1134.26/313.534
Info:Filtering - Merging: Total cpu/real time for replay: 159.23/138.303
Info:Generate Factor Base: Total cpu/real time for makefb: 6.79/3.00153
Info:Quadratic Characters: Total cpu/real time for characters: 141.52/59.611
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 913.67/907.742
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 738.9000000000003s
Info:Square Root: Total cpu/real time for sqrt: 1262.67/391.904
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.10901e+06/336554
Info:root: Cleaning up computation data in /tmp/cado.qzgj_duz
97390379519614680066143708204253463650246730211322931719807647749259923 249188969277492312998844243523791453899798689875419655570536494388488609115026247

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

3941063649289595613555328535916384402602446239921323492128563626365743482461093724438904052264411021588722312309319812825507385558297796072376257994569483241527<160>

24519726806709289021642097318316007380447740344134027292758090675972576777819857<80>
160730324622181736997279844260004602138034512710837370253237759752672739913138311<81>

3941063649289595613555328535916384402602446239921323492128563626365743482461093724438904052264411021588722312309319812825507385558297796072376257994569483241527=24519726806709289021642097318316007380447740344134027292758090675972576777819857*160730324622181736997279844260004602138034512710837370253237759752672739913138311

cado polynomial
n: 3941063649289595613555328535916384402602446239921323492128563626365743482461093724438904052264411021588722312309319812825507385558297796072376257994569483241527
skew: 0.39
type: snfs
c0: -2
c5: 209
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 209*x^5-2
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16500000
tasks.lim1 = 16500000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 24519726806709289021642097318316007380447740344134027292758090675972576777819857 160730324622181736997279844260004602138034512710837370253237759752672739913138311
Info:Square Root: Total cpu/real time for sqrt: 1021.79/323.379
Info:Filtering - Singleton removal: Total cpu/real time for purge: 567.38/638.693
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 47154623
Info:Lattice Sieving: Average J: 1895.59 for 4022705 special-q, max bucket fill -bkmult 1.0,1s:1.139730
Info:Lattice Sieving: Total time: 1.14625e+06s
Info:Linear Algebra: Total cpu/real time for bwc: 221742/56735.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 142784.42, WCT time 36420.31, iteration CPU time 0.32, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (108544 iterations)
Info:Linear Algebra: Lingen CPU time 764.17, WCT time 193.85
Info:Linear Algebra: Mksol: CPU time 76817.44,  WCT time 19605.77, iteration CPU time 0.34, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (54272 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 232.79/60.815
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 199.41/235.446
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 234.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 816.66/806.437
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 662.3s
Info:Filtering - Merging: Merged matrix has 3469402 rows and total weight 590909657 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1005.65/277.477
Info:Filtering - Merging: Total cpu/real time for replay: 141.42/124.776
Info:Generate Factor Base: Total cpu/real time for makefb: 6.96/3.19447
Info:Quadratic Characters: Total cpu/real time for characters: 126.46/53.2422
Info:Square Root: Total cpu/real time for sqrt: 1021.79/323.379
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.45258e+06/158913
Info:root: Cleaning up computation data in /tmp/cado.mxbv_wlo
24519726806709289021642097318316007380447740344134027292758090675972576777819857 160730324622181736997279844260004602138034512710837370253237759752672739913138311

cado-nfs-3.0.0

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

46100227458636926309276526532748856609824228618536165919086654209050897811706394304909856686518627054711571639990406187138874439642477352291171094298924795368871<161>

278589448459678472087392141050491085959212446885414229<54>
165477291812468710745144174315182468246933066714835260011388542605783571365917885814207032631233928587013899<108>

Number: n
N=46100227458636926309276526532748856609824228618536165919086654209050897811706394304909856686518627054711571639990406187138874439642477352291171094298924795368871  ( 161 digits)
SNFS difficulty: 204 digits.
Divisors found:

Fri Dec  8 14:16:37 2023  prp54 factor: 278589448459678472087392141050491085959212446885414229
Fri Dec  8 14:16:37 2023  prp108 factor: 165477291812468710745144174315182468246933066714835260011388542605783571365917885814207032631233928587013899
Fri Dec  8 14:16:37 2023  elapsed time 02:56:49 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.082).
Factorization parameters were as follows:
#
# N = 209x10^202-2 = 232(202)
#
n: 46100227458636926309276526532748856609824228618536165919086654209050897811706394304909856686518627054711571639990406187138874439642477352291171094298924795368871
m: 10000000000000000000000000000000000000000
deg: 5
c5: 10450
c0: -1
skew: 0.16
# Murphy_E = 8.648e-12
type: snfs
lss: 1
rlim: 17600000
alim: 17600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17600000/17600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 48800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3692318 hash collisions in 20066971 relations (16734790 unique)
Msieve: matrix is 2332865 x 2333090 (656.1 MB)

Sieving start time: 2023/12/07 14:49:24
Sieving end time  : 2023/12/08 11:19:23

Total sieving time: 20hrs 29min 59secs.

Total relation processing time: 2hrs 47min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 38sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17600000,17600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

6716177517528405489563391447761842165202209300540903134571093229150290962901963360997062865180624148695979999940601997495696149727708264344291918382010700138182749502673642465256469780727324992981<196>

29663830635012608619488607414361495531<38>
226409650195386870217529783485739896752671661108039092232554555696196559337081622693240806906222705569915597449586240923643395278773617890447906015306531653951<159>

Run 467 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1616398267
Step 1 took 18948ms
Step 2 took 3854ms
********** Factor found in step 2: 29663830635012608619488607414361495531
Found prime factor of 38 digits: 29663830635012608619488607414361495531
Prime cofactor 226409650195386870217529783485739896752671661108039092232554555696196559337081622693240806906222705569915597449586240923643395278773617890447906015306531653951 has 159 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

40323927997619379204605371342079279224797755587977179473555641648041144979608616197419930948348997795851070939062466209759185660498414562571785628973276504025269809709463262684311712593<185>

15660281542878323932484072860454240037873494252437688603536305407911205546226559<80>
2574917180589074738917588076662101524183063670513446121089661686085184144994210921686399450800621523124527<106>

Number: n
N=40323927997619379204605371342079279224797755587977179473555641648041144979608616197419930948348997795851070939062466209759185660498414562571785628973276504025269809709463262684311712593  ( 185 digits)
SNFS difficulty: 206 digits.
Divisors found:

Wed Jan 24 14:19:40 2024  prp80 factor: 15660281542878323932484072860454240037873494252437688603536305407911205546226559
Wed Jan 24 14:19:40 2024  prp106 factor: 2574917180589074738917588076662101524183063670513446121089661686085184144994210921686399450800621523124527
Wed Jan 24 14:19:40 2024  elapsed time 04:10:22 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.028).
Factorization parameters were as follows:
#
# N = 209x10^204-2 = 232(204)
#
n: 40323927997619379204605371342079279224797755587977179473555641648041144979608616197419930948348997795851070939062466209759185660498414562571785628973276504025269809709463262684311712593
m: 10000000000000000000000000000000000
deg: 6
c6: 209
c0: -2
skew: 0.46
# Murphy_E = 6.865e-12
type: snfs
lss: 1
rlim: 19200000
alim: 19200000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19200000/19200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 100000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3195229 hash collisions in 19121898 relations (16639707 unique)
Msieve: matrix is 2726320 x 2726545 (768.0 MB)

Sieving start time: 2024/01/22 12:55:48
Sieving end time  : 2024/01/24 10:09:00

Total sieving time: 45hrs 13min 12secs.

Total relation processing time: 4hrs 0min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 28sec.

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

2839470101607828895780158851099296742637145350860595320869570082871269356829269449445135128596889679884691590091487117657505740680938980593057513449552029233274444281925397504991157489<184>

7049938930767374820616547679037661445257715869166923392796107657960170061113899773<82>
402765205414163356238445921908148224977895495900399811634081727730955978728603111169715992947024588293<102>

10/15/24 23:32:21 v1.34.5 @ TRIGKEY,
10/15/24 23:32:21 v1.34.5 @ TRIGKEY, ****************************
10/15/24 23:32:21 v1.34.5 @ TRIGKEY, Starting factorization of 208999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999998
10/15/24 23:32:21 v1.34.5 @ TRIGKEY, using pretesting plan: normal
10/15/24 23:32:21 v1.34.5 @ TRIGKEY, no tune info: using qs/gnfs crossover of 100 digits
10/15/24 23:32:21 v1.34.5 @ TRIGKEY, ****************************
10/15/24 23:32:21 v1.34.5 @ TRIGKEY, div: found prime factor = 2
10/15/24 23:32:21 v1.34.5 @ TRIGKEY, div: found prime factor = 3
10/15/24 23:32:21 v1.34.5 @ TRIGKEY, div: found prime factor = 3
10/15/24 23:32:21 v1.34.5 @ TRIGKEY, div: found prime factor = 1301
10/15/24 23:32:21 v1.34.5 @ TRIGKEY, rho: x^2 + 3, starting 1000 iterations on C205
10/15/24 23:32:21 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C205
10/15/24 23:32:21 v1.34.5 @ TRIGKEY, prp8 = 44872067
10/15/24 23:32:21 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C198
10/15/24 23:32:21 v1.34.5 @ TRIGKEY, rho: x^2 + 1, starting 1000 iterations on C198
10/15/24 23:32:21 v1.34.5 @ TRIGKEY, pm1: starting B1 = 150K, B2 = gmp-ecm default on C198
10/15/24 23:32:21 v1.34.5 @ TRIGKEY, prp14 = 70045962754697
10/15/24 23:32:21 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 0.00
10/15/24 23:32:21 v1.34.5 @ TRIGKEY, scheduled 30 curves at B1=2000 toward target pretesting depth of 56.62
10/15/24 23:32:22 v1.34.5 @ TRIGKEY, Finished 30 curves using Lenstra ECM method on C184 input, B1=2K, B2=gmp-ecm default
10/15/24 23:32:22 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 15.18
10/15/24 23:32:22 v1.34.5 @ TRIGKEY, scheduled 74 curves at B1=11000 toward target pretesting depth of 56.62
10/15/24 23:32:24 v1.34.5 @ TRIGKEY, Finished 74 curves using Lenstra ECM method on C184 input, B1=11K, B2=gmp-ecm default
10/15/24 23:32:24 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 20.24
10/15/24 23:32:24 v1.34.5 @ TRIGKEY, scheduled 214 curves at B1=50000 toward target pretesting depth of 56.62
10/15/24 23:33:13 v1.34.5 @ TRIGKEY, nfs: commencing nfs on c210: 208999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999998
10/15/24 23:33:13 v1.34.5 @ TRIGKEY, nfs: input divides 209*10^207 - 2
10/15/24 23:33:13 v1.34.5 @ TRIGKEY, nfs: using supplied cofactor: 2839470101607828895780158851099296742637145350860595320869570082871269356829269449445135128596889679884691590091487117657505740680938980593057513449552029233274444281925397504991157489
10/15/24 23:33:13 v1.34.5 @ TRIGKEY, nfs: commencing snfs on c184: 2839470101607828895780158851099296742637145350860595320869570082871269356829269449445135128596889679884691590091487117657505740680938980593057513449552029233274444281925397504991157489
10/15/24 23:33:13 v1.34.5 @ TRIGKEY, gen: best 3 polynomials:
n: 2839470101607828895780158851099296742637145350860595320869570082871269356829269449445135128596889679884691590091487117657505740680938980593057513449552029233274444281925397504991157489
# 209*10^207-2, difficulty: 211.32, anorm: -8.05e+026, rnorm: 2.52e+047
# scaled difficulty: 214.74, suggest sieving rational side
# size = 1.178e-014, alpha = 0.625, combined = 5.311e-012, rroots = 1
type: snfs
size: 211
skew: 0.1571
c5: 10450
c0: -1
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 2839470101607828895780158851099296742637145350860595320869570082871269356829269449445135128596889679884691590091487117657505740680938980593057513449552029233274444281925397504991157489
# 209*10^207-2, difficulty: 210.22, anorm: -1.85e+027, rnorm: 3.57e+047
# scaled difficulty: 213.60, suggest sieving rational side
# size = 9.352e-015, alpha = -0.069, combined = 4.625e-012, rroots = 1
type: snfs
size: 210
skew: 0.3142
c5: 5225
c0: -16
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
n: 2839470101607828895780158851099296742637145350860595320869570082871269356829269449445135128596889679884691590091487117657505740680938980593057513449552029233274444281925397504991157489
# 209*10^207-2, difficulty: 212.32, anorm: -4.80e+033, rnorm: 2.62e+040
# scaled difficulty: 213.44, suggest sieving rational side
# size = 1.199e-010, alpha = 0.108, combined = 3.801e-012, rroots = 2
type: snfs
size: 212
skew: 0.1457
c6: 104500
c0: -1
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
10/15/24 23:33:15 v1.34.5 @ TRIGKEY, test: fb generation took 1.7249 seconds
10/15/24 23:33:15 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 0 on the rational side over range 22600000-22602000
skew: 0.1571
c5: 10450
c0: -1
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
10/15/24 23:36:10 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
10/15/24 23:36:12 v1.34.5 @ TRIGKEY, test: fb generation took 1.6157 seconds
10/15/24 23:36:12 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000
skew: 0.3142
c5: 5225
c0: -16
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
10/15/24 23:39:10 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
10/15/24 23:39:12 v1.34.5 @ TRIGKEY, test: fb generation took 2.4974 seconds
10/15/24 23:39:12 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 2 on the rational side over range 22600000-22602000
skew: 0.1457
c6: 104500
c0: -1
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
10/15/24 23:42:02 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
10/15/24 23:42:02 v1.34.5 @ TRIGKEY, gen: selected polynomial:
n: 2839470101607828895780158851099296742637145350860595320869570082871269356829269449445135128596889679884691590091487117657505740680938980593057513449552029233274444281925397504991157489
# 209*10^207-2, difficulty: 211.32, anorm: -8.05e+026, rnorm: 2.52e+047
# scaled difficulty: 214.74, suggest sieving rational side
# size = 1.178e-014, alpha = 0.625, combined = 5.311e-012, rroots = 1
type: snfs
size: 211
skew: 0.1571
c5: 10450
c0: -1
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
10/17/24 21:11:01 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
10/17/24 21:17:04 v1.34.5 @ TRIGKEY, nfs: commencing msieve linear algebra
10/18/24 01:50:23 v1.34.5 @ TRIGKEY, nfs: commencing msieve sqrt
10/18/24 01:59:47 v1.34.5 @ TRIGKEY, prp82 = 7049938930767374820616547679037661445257715869166923392796107657960170061113899773
10/18/24 01:59:47 v1.34.5 @ TRIGKEY, prp102 = 402765205414163356238445921908148224977895495900399811634081727730955978728603111169715992947024588293
10/18/24 01:59:47 v1.34.5 @ TRIGKEY, NFS elapsed time = 181594.0593 seconds.
10/18/24 01:59:47 v1.34.5 @ TRIGKEY,
10/18/24 01:59:47 v1.34.5 @ TRIGKEY,
10/15/24 23:42:02 v1.34.5 @ TRIGKEY, test: test sieving took 528.55 seconds

YAFU

4628181537875119577168795084763932171897845413868470040967078363631863435822082967657238889666729201543957089821479482555643799525114043993746514007079371453691496509145731597809072444125698720873307<199>

104444232893375116905517683997566210873470372677475912288698312569067527783775015612289963744113286152927661378173373245395956984722382327221801277<147>

1114851977395169278468464023864150645165738266754916896543<58>
93684394889272302176999493985538243453287241927187625124515651102279324560782547093192739<89>

CADO:



STA:Fri 23 Feb 2024 08:39:50 AEDT (104444232893375116905517683997566210873470372677475912288698312569067527783775015612289963744113286152927661378173373245395956984722382327221801277 - C147)



/home/vboxuser/Math/cado-nfs/cado-nfs.py -t 30 --no-colors --screenlog DEBUG 104444232893375116905517683997566210873470372677475912288698312569067527783775015612289963744113286152927661378173373245395956984722382327221801277 2>&1 | tee -a log-39



Debug:root: Looking for parameter file for c147 in directory /home/vboxuser/Math/cado-nfs/parameters/factor

Info:root: Using default parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c148

Debug:Parameters: Reading parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c148

Info:root: No database exists yet

Info:root: Created temporary directory /tmp/cado.84ha7_f5

Info:Database: Opened connection to database /tmp/cado.84ha7_f5/c148.db

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

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

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

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

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

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

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

Info:root: Command line parameters: /home/vboxuser/Math/cado-nfs/cado-nfs.py -t 30 --no-colors --screenlog DEBUG 104444232893375116905517683997566210873470372677475912288698312569067527783775015612289963744113286152927661378173373245395956984722382327221801277

Debug:root: Root parameter dictionary:

N = 104444232893375116905517683997566210873470372677475912288698312569067527783775015612289963744113286152927661378173373245395956984722382327221801277

name = c148

===

Info:Polynomial Selection (root optimized): Best polynomial is:

n: 104444232893375116905517683997566210873470372677475912288698312569067527783775015612289963744113286152927661378173373245395956984722382327221801277

skew: 879851.668

c0: 79722983903590616540189581357919100

c1: -86550956103243901279707671169

c2: -491374979489416724008478

c3: 553544293481131055

c4: 309824696694

c5: 90720

Y0: -17836326174916180151657821597

Y1: 1284357087877686973181

# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=3.087e+14) = 7.038e-07

# f(x) = 90720*x^5+309824696694*x^4+553544293481131055*x^3-491374979489416724008478*x^2-86550956103243901279707671169*x+79722983903590616540189581357919100

# g(x) = 1284357087877686973181*x-17836326174916180151657821597

===

Debug:Command: Process with PID 1033748 finished successfully

Info:Square Root: finished

Info:Square Root: Factors: 1114851977395169278468464023864150645165738266754916896543 93684394889272302176999493985538243453287241927187625124515651102279324560782547093192739

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

Info:Complete Factorization / Discrete logarithm: Square Root

Info:Square Root: Total cpu/real time for sqrt: 4119.18/508.269

Info:HTTP server: Got notification to stop serving Workunits

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

Info:Polynomial Selection (root optimized): Total time: 5357.23

Info:Polynomial Selection (root optimized): Rootsieve time: 5360.86

Info:Lattice Sieving: Aggregate statistics:

Info:Lattice Sieving: Total number of relations: 119098028

Info:Lattice Sieving: Average J: 7945.33 for 536073 special-q, max bucket fill -bkmult 1.0,1s:1.207230

Info:Lattice Sieving: Total time: 3.96346e+06s

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

Info:Polynomial Selection (size optimized): potential collisions: 117089

Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 81415/44.050/54.297/66.050/2.148

Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 69147/42.510/47.212/58.420/1.087

Info:Polynomial Selection (size optimized): Total time: 63211.5

Info:Square Root: Total cpu/real time for sqrt: 4119.18/508.269

Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1922.38/624.591

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

Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 582.2s

Info:Generate Factor Base: Total cpu/real time for makefb: 11.18/2.42481

Info:Quadratic Characters: Total cpu/real time for characters: 107.46/30.7245

Info:Filtering - Singleton removal: Total cpu/real time for purge: 762.26/211.231

Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 957.62/5427.28

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

Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 5426.7s

Info:Filtering - Merging: Total cpu/real time for merge: 317.02/59.7061

Info:Filtering - Merging: Total cpu/real time for replay: 53.11/48.4052

Info:Generate Free Relations: Total cpu/real time for freerel: 1069.08/120.67

Info:Linear Algebra: Total cpu/real time for bwc: 76659.8/18389.3

Info:Linear Algebra: Aggregate statistics:

Info:Linear Algebra: Krylov: CPU time 45653.5, WCT time 11443.84, iteration CPU time 0.05, COMM 0.07, cpu-wait 0.03, comm-wait 0.01 (76000 iterations)

Info:Linear Algebra: Lingen CPU time 283.81, WCT time 54.72

Info:Linear Algebra: Mksol: CPU time 26423.57,  WCT time 6060.75, iteration CPU time 0.07, COMM 0.07, cpu-wait 0.02, comm-wait 0.01 (36000 iterations)

Info:HTTP server: Shutting down HTTP server

Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.94318e+06/298914 [3d 11:01:54]

Info:root: Cleaning up computation data in /tmp/cado.84ha7_f5

1114851977395169278468464023864150645165738266754916896543 93684394889272302176999493985538243453287241927187625124515651102279324560782547093192739



END:Mon 26 Feb 2024 19:41:47 AEDT (104444232893375116905517683997566210873470372677475912288698312569067527783775015612289963744113286152927661378173373245395956984722382327221801277 - C147)

143456192976019570060375265900884518682001644459508609013260642821644940136844345449155998588552041590361470226483565177408054486212989442304252875097676651<156>

19559605000469479982814845654471329544261606872106985813186231120757142882547237799350462330407058010508263605142891516255776053993856788775789153732247815158813040627363068440646198299717<188>

777538215019833437885616884347942857056279<42>
25155811795013257003858236912995493104530654610853112712543063572038559794016946717188607614607647118321088033612709906348932153142175458098590723<146>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1764930579
Step 1 took 8752ms
Step 2 took 4328ms
********** Factor found in step 2: 777538215019833437885616884347942857056279
Found prime factor of 42 digits: 777538215019833437885616884347942857056279
Prime cofactor 25155811795013257003858236912995493104530654610853112712543063572038559794016946717188607614607647118321088033612709906348932153142175458098590723 has 146 digits

15266973550449292080780309797363145670201832717873181261216786521428815895696714200234976872686833081370391938254155716860206592606673149868043338339085042311238247240454800966079636056774933286789<197>

116111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<216>

4465952392916035646251969672885678319848275872937316760863300550347920904572621158544361760674398587427624993744593641715127616130012993914344883261674579622424952082544881376708801791<184>

15603820988924173433520836912055106916592812405236463260261557225959326310088168789300135274907240422674673973160394238394125766360610772217255051356514383025566331022088050468348943876782647293719788451<203>

7077296143923597888631368860365820301013542592897638289640872920534440104077087389823761864078578352104481832435206307885235751406841788363981946707929860314164286107864200052973332053527619<190>

1302155061030248510152724318250852050425088892107740261063099277369480123867767556175443552889976087053148094511639495896030623170462438828124875679776057037283035342767598076092846933308257563387477088432489<208>

6717634272768679370684412622883003890313697977845577807<55>
90134548045773608484091283527652762431855893263803364025098126694133<68>
2150577322336161403711690865874608112865551313996168461098515469703590675612760166219<85>

Number: 23222_219
N = 1302155061030248510152724318250852050425088892107740261063099277369480123867767556175443552889976087053148094511639495896030623170462438828124875679776057037283035342767598076092846933308257563387477088432489 (208 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=6717634272768679370684412622883003890313697977845577807 (pp55)
r2=90134548045773608484091283527652762431855893263803364025098126694133 (pp68)
r3=2150577322336161403711690865874608112865551313996168461098515469703590675612760166219 (pp85)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 26.66 hours.
Factorization parameters were as follows:
n: 1302155061030248510152724318250852050425088892107740261063099277369480123867767556175443552889976087053148094511639495896030623170462438828124875679776057037283035342767598076092846933308257563387477088432489
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 209
c0: -20
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: 30963127
Relations: 7915256 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 8.97 hours.
Total relation processing time: 0.26 hours.
Pruned matrix : 6790630 x 6790855
Matrix solve time: 16.57 hours.
time per square root: 0.86 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 26.66 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

136331289765282337118234823804683700723280005390160410902544730674904172860211702160446172293681363289104335801968646939010872411172357854830337475410151638756194554021917<171>

233403953369977096678961178824391298116274069<45>
584100173955402762988074728038934499762183741209655495991225206123195088483447412221207467542321943528169445351429384993471593<126>

Number: 23222_220
N = 136331289765282337118234823804683700723280005390160410902544730674904172860211702160446172293681363289104335801968646939010872411172357854830337475410151638756194554021917 (171 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=233403953369977096678961178824391298116274069 (pp45)
r2=584100173955402762988074728038934499762183741209655495991225206123195088483447412221207467542321943528169445351429384993471593 (pp126)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 41.75 hours.
Factorization parameters were as follows:
n: 136331289765282337118234823804683700723280005390160410902544730674904172860211702160446172293681363289104335801968646939010872411172357854830337475410151638756194554021917
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 209
c0: -2
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: 30587327
Relations: 8010040 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 13.69 hours.
Total relation processing time: 0.34 hours.
Pruned matrix : 6865125 x 6865350
Matrix solve time: 27.13 hours.
time per square root: 0.59 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 41.75 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

14239253258027030581033469332184333711536751560411226121702263595980281439647839418659958001484079704182322673248925564941118138229306009900971788946039191642709<161>

175642312881150980768782623044204174592238513<45>
81069606887163196541559782290844124701134908616054325535701581601489851160622807498602202827567623060894858332997093<116>

Number: 23222_221
N = 14239253258027030581033469332184333711536751560411226121702263595980281439647839418659958001484079704182322673248925564941118138229306009900971788946039191642709 (161 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=175642312881150980768782623044204174592238513 (pp45)
r2=81069606887163196541559782290844124701134908616054325535701581601489851160622807498602202827567623060894858332997093 (pp116)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 63.80 hours.
Factorization parameters were as follows:
n: 14239253258027030581033469332184333711536751560411226121702263595980281439647839418659958001484079704182322673248925564941118138229306009900971788946039191642709
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1045
c0: -1
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: 30600676
Relations: 8718592 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 15.00 hours.
Total relation processing time: 0.47 hours.
Pruned matrix : 7390188 x 7390413
Matrix solve time: 47.43 hours.
time per square root: 0.90 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 63.80 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

7118398607447775425845254147640532532236247102326421409156689720128476400236859434467685232533321377148418699519527167218424301120222729447291224878924384221566089790962332629333928853792527126939868352949221683492279<217>

146798541789662380659924431389600361059345474027826887347714195559602389397367110697911197857926275949020140603660460027881751302384460405850191918474891763423650612447281414925939<180>

80009677395502478681120993579241545581280967772326581191836517862729384080872399802540183632503445457309254263775296761971985619110997152408985385115825424741154197<164>

83194137283577529816342054302691977272307480586042731620454911315909232169933188491159012260124344257585904381808792273012292567482077847923788617353796047284789755039524211643408121650701<188>

34957454623145051540063757193086269502671<41>
2379868276464710216601515192329332140909082105716168621649761479355134413259987453386049221245473291868829394136651797980740645393517495002659384931<148>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3866983948
Step 1 took 41612ms
Step 2 took 14636ms
********** Factor found in step 2: 34957454623145051540063757193086269502671
Found probable prime factor of 41 digits: 34957454623145051540063757193086269502671
Probable prime cofactor 2379868276464710216601515192329332140909082105716168621649761479355134413259987453386049221245473291868829394136651797980740645393517495002659384931 has 148 digits

115910743052422793557034429927824552364095644457949690667030639380898442771612033573921452762792179344406245025065126996296493233021382587649931626433662859210431147703691037984827217<183>

110886525994887815401796984683325563068707243200311678568734402302735380202820085609974592092687035444048292416352791516736362074513937000640905954005069703422754406801915595040021826796603883344211784461118270253<213>

1469760900140646976090014064697609001406469760900140646976090014064697609001406469760900140646976090014064697609001406469760900140646976090014064697609001406469760900140646976090014064697609001406469760900140646976090014064697609<229>

11587043524334869823454914453867709394279<41>

126845204046561614089682207402764138966603042145850421007392706363890148664192353725804283305383849216090212842965404477133839286963868518428915385113411575534588788175205685093628412512271<189>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2495648126
Step 1 took 36150ms
Step 2 took 14802ms
********** Factor found in step 2: 11587043524334869823454914453867709394279
Found prime factor of 41 digits: 11587043524334869823454914453867709394279
Composite cofactor 126845204046561614089682207402764138966603042145850421007392706363890148664192353725804283305383849216090212842965404477133839286963868518428915385113411575534588788175205685093628412512271 has 189 digits

43139233039932661029605181233090491848967471625994120177801482989478475070658152464761386734458180295590394301002581927145556294399689240718157677844401208303425252320454782558349320221254432840223392781<203>

7227946884539305325253354489833040331<37>
5968393754000624237966354315777459056901664380765628940215863878435671325614950512482516043161442333444756328245158598870884051642787622728336438731058720542921698951<166>

Run 38 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:856507262
Step 1 took 18155ms
Step 2 took 6820ms
********** Factor found in step 2: 7227946884539305325253354489833040331
Found prime factor of 37 digits: 7227946884539305325253354489833040331
Prime cofactor 5968393754000624237966354315777459056901664380765628940215863878435671325614950512482516043161442333444756328245158598870884051642787622728336438731058720542921698951 has 166 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

686826514584347408707381272599189834477729794908972537870044008893778176310386176600910024672469895447800252731377413900352077927867634222684432246908719486721622185099199935855396467458368253414965646047094938741871<216>

185902558758798001509860908240661167841<39>

3694551162555436004728795443715454983210629857838008654259567451952904381222869924753417793770147159027320725526649552528789161165271611267341808515612154805655693083958088426831<178>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2426983947
Step 1 took 83269ms
Step 2 took 32464ms
********** Factor found in step 2: 185902558758798001509860908240661167841
Found prime factor of 39 digits: 185902558758798001509860908240661167841
Composite cofactor 3694551162555436004728795443715454983210629857838008654259567451952904381222869924753417793770147159027320725526649552528789161165271611267341808515612154805655693083958088426831 has 178 digits

3694551162555436004728795443715454983210629857838008654259567451952904381222869924753417793770147159027320725526649552528789161165271611267341808515612154805655693083958088426831<178>

273296799036921609308030848513756044071<39>

13518457499593007668127144150203090197165615519966114319804113365393887322472320077560508340778730030758110276470895578584079029965302193561<140>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1942126220
Step 1 took 60440ms
Step 2 took 23812ms
********** Factor found in step 2: 273296799036921609308030848513756044071
Found prime factor of 39 digits: 273296799036921609308030848513756044071
Composite cofactor 13518457499593007668127144150203090197165615519966114319804113365393887322472320077560508340778730030758110276470895578584079029965302193561 has 140 digits

13518457499593007668127144150203090197165615519966114319804113365393887322472320077560508340778730030758110276470895578584079029965302193561<140>

2259734321089576590549520699935697995963274261660543<52>
5982321626674595120794720766698915888738348310821021198038221487190306507574278600772327<88>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 13518457499593007668127144150203090197165615519966114319804113365393887322472320077560508340778730030758110276470895578584079029965302193561 (140 digits)
Using B1=26580000, B2=144285831706, polynomial Dickson(12), sigma=1:455064302
Step 1 took 53136ms
Step 2 took 21954ms
********** Factor found in step 2: 2259734321089576590549520699935697995963274261660543
Found prime factor of 52 digits: 2259734321089576590549520699935697995963274261660543
Prime cofactor 5982321626674595120794720766698915888738348310821021198038221487190306507574278600772327 has 88 digits

1995826216971743254679601598193305446771359841466802919868907171738871210221441837842350643900404720382609873698155416177261252043269632162173572277868208639838009604783259669066446429176524630444118423970911031017<214>

6907206000975199147068326637981157150165634214985422623816702307196775632320896121618201177675119828181521129904207578631758927997646169860762514580596765370457323063969338005334246981573356560772623474279253<208>

46599968633446965478720521425647235402350001839019286924435168798409205987837063110750819007616695404251066874544634336153265447664799106258621974314201230796741127409284473<173>

1712447764708661255260610636334691<34>

27212490561062467397370770058163140356137057860724900422328690017889236325161319368403130747710424634328456880928446504039915737240640044403<140>

Run 542 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1230935265
Step 1 took 13984ms
Step 2 took 6175ms
********** Factor found in step 2: 1712447764708661255260610636334691
Found prime factor of 34 digits: 1712447764708661255260610636334691
Composite cofactor 27212490561062467397370770058163140356137057860724900422328690017889236325161319368403130747710424634328456880928446504039915737240640044403 has 140 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

27212490561062467397370770058163140356137057860724900422328690017889236325161319368403130747710424634328456880928446504039915737240640044403<140>

911900121769427028537496065732953944636883<42>
29841525306806699341942516054478922677936043359997624104415134401008454243799062757804751807913441<98>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1513998247
Step 1 took 21282ms
Step 2 took 10422ms
********** Factor found in step 2: 911900121769427028537496065732953944636883
Found prime factor of 42 digits: 911900121769427028537496065732953944636883
Prime cofactor 29841525306806699341942516054478922677936043359997624104415134401008454243799062757804751807913441 has 98 digits

GMP-ECM

4954159821322850757917156207402579262113104927824392497152546774495256586787383299254149659533378648644963639059372623273281741647971320681018885923210391155320000412548763002550463795971121165426886973621<205>

2764874902310690901617260910529360810774637432445864775142268371126390924682576661620112279083553695983877210249503274002139894985037160763844677828145101818073882941466333041265393165538678506837002228698627<208>

1502286677450463887800441261719455513903807245057108970507732756510737053005699406334045795213574676767131175090067631074594473096244021763872490329684287262059336714632267650143045413859<187>

683006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183<243>

81541818115204186522008190479838940757299118119411598043921543113733919192759437225894430049364663595238055519482165590370586270131097540710852902040777145120544311284650116361588373627070174714714361330726269<209>

6538483953020164881990394197624502087098473681009139683659080371343781694374347829480320872218404297253905008729951255426721081197839731042639768577127296742006658980430918253064599121452057722689<196>

1814102681649281948399989178910706316129<40>

3604252404872549139917950895923371833627781929762775116541315704756078189269542178062629271337758157167485348821014888456957447749906220204436884768218396641<157>

Run 273 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2479122985
Step 1 took 18940ms
********** Factor found in step 1: 1814102681649281948399989178910706316129
Found prime factor of 40 digits: 1814102681649281948399989178910706316129
Composite cofactor 3604252404872549139917950895923371833627781929762775116541315704756078189269542178062629271337758157167485348821014888456957447749906220204436884768218396641 has 157 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

1408860032438664659769035952300898575314356065030982641588438711996333645099808128715203702466196553583603841844280052338234513484877908470484547386226311863874695671943849450529856335385432384425293079843033361101448215386089367271279282591<241>

1027084686896856164997524222913882562271138159579942903733626503288749594740053210582042464449792218271614697274544937591181223051674660465245375269085813516776485853346503546363956424287040911036697239074803<208>

767284314019010247794435614710963513095289652503712355056152164321465249164710042589963233131983336634731412590689313450613253072031901093215901842970657251484465392574443462517973690404568658171108537100842088759362997005593953<228>

109898843246811563745879048076083024863520487349227765609996679235283798402028787206067915570495988085447521588571153810068867628380710522893615985583371378381347215128221<171>

32281750664402706830029472997814975631<38>
3404364415960802334002635710925123844063210571512869545180166049404303280335518391049546640091205948623567004163121463250742712911891<133>

GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1236399712
Run 621 out of 1476:
Step 1 took 3582ms
Step 2 took 1942ms
********** Factor found in step 2: 32281750664402706830029472997814975631
Found prime factor of 38 digits: 32281750664402706830029472997814975631
Prime cofactor 3404364415960802334002635710925123844063210571512869545180166049404303280335518391049546640091205948623567004163121463250742712911891 has 133 digits

24790223637621467756927978955409348633621594674704039858103601950089413689086932671584410238635058692867526414843572564318461594631593796128845619406724277601852878572511563017786226096712041611810506758683<206>

194076936409929836560810261325696170635669992859571474556446995026803763571802376442716997816539934590985382719680036078045238304905261768167850953442710735257968314945633056444142858205838132061405025596726944335118342589<222>

65881053425852541188077063664089099216179242403645019603586766956140209496618403448289026281076396890407585420219287898028285064274826908776822409739766147686417372433321369408491925886559031042072590957268756281081219<218>

2579676813316247886246877343184283055461072808793707548592864231941691021423823531576284748648491488964232680906567503177955873017681951042733809062555999214270630219007430452844611116333665397883176286238005275469924586682675689727487<235>