1479645485954634219618446747784287216463872615292173651795102899203845576085323719393120024034850533273246207<109>

382199730528957139287518321718149771703601656883<48>
3871393325962928024204269867607093465849211281391051019540229<61>

N=1479645485954634219618446747784287216463872615292173651795102899203845576085323719393120024034850533273246207
  ( 109 digits)
SNFS difficulty: 111 digits.
Divisors found:
p48 factor: 382199730528957139287518321718149771703601656883
p61 factor: 3871393325962928024204269867607093465849211281391051019540229
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.83 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1479645485954634219618446747784287216463872615292173651795102899203845576085323719393120024034850533273246207
m: 1000000000000000000000000000
deg: 4
c4: 9850
c0: -1
skew: 0.10
# Murphy_E = 1.004e-07
type: snfs
lss: 1
rlim: 510000
alim: 510000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 510000/510000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [255000, 555001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 47884 x 48109
Total sieving time: 0.80 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,111.000,4,0,0,0,0,0,0,0,0,510000,510000,25,25,44,44,2.2,2.2,20000
total time: 0.83 hours.
 --------- CPU info (if available) ----------

16400057816941228185750968278010307822217921551410045981124288411830004698158833279057382838462636993<101>

5363823897148929280631905474099956567469711<43>
3057530994941587340141671220950604220706352133247917273263<58>

N=16400057816941228185750968278010307822217921551410045981124288411830004698158833279057382838462636993
  ( 101 digits)
SNFS difficulty: 114 digits.
Divisors found:
p43 factor: 5363823897148929280631905474099956567469711
p58 factor: 3057530994941587340141671220950604220706352133247917273263
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.72 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 16400057816941228185750968278010307822217921551410045981124288411830004698158833279057382838462636993
m: 10000000000000000000000000000
deg: 4
c4: 197
c0: -2
skew: 0.32
# Murphy_E = 1.053e-07
type: snfs
lss: 1
rlim: 560000
alim: 560000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2

Factor base limits: 560000/560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [280000, 520001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 49633 x 49858
Total sieving time: 0.70 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,114.000,4,0,0,0,0,0,0,0,0,560000,560000,25,25,45,45,2.2,2.2,20000
total time: 0.72 hours.
 --------- CPU info (if available) ----------

307140629872154661677580293108824446523230433426878702837542874961022762706579357655129404427814156532584970377299657<117>

47275613558598699384292117294335761981954649547<47>
6496808962435783225333100187626694791926426984006540789052117128547131<70>

N=307140629872154661677580293108824446523230433426878702837542874961022762706579357655129404427814156532584970377299657
  ( 117 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=47275613558598699384292117294335761981954649547 (pp47)
 r2=6496808962435783225333100187626694791926426984006540789052117128547131 (pp70)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.85 hours.
Scaled time: 14.60 units (timescale=7.886).
Factorization parameters were as follows:
n: 307140629872154661677580293108824446523230433426878702837542874961022762706579357655129404427814156532584970377299657
m: 100000000000000000000000000000
deg: 4
c4: 9850
c0: -1
skew: 0.10
# Murphy_E = 4.252e-08
type: snfs
lss: 1
rlim: 700000
alim: 700000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [350000, 850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 84731 x 84979
Total sieving time: 1.84 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,119.000,4,0,0,0,0,0,0,0,0,700000,700000,25,25,45,45,2.2,2.2,50000
total time: 1.85 hours.

GNFS, Msieve

321485688175201540520251966447991122425666634028525735174124481869512712555892816345180978491465126146414700218675544241<120>

27205451067134687505170784190673060516875104309242398584229<59>
11816958571349312296685193327894172504084195498548925398790429<62>

N=321485688175201540520251966447991122425666634028525735174124481869512712555892816345180978491465126146414700218675544241
  ( 120 digits)
SNFS difficulty: 123 digits.
Divisors found:
p59 factor: 27205451067134687505170784190673060516875104309242398584229
p62 factor: 11816958571349312296685193327894172504084195498548925398790429
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.59 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 321485688175201540520251966447991122425666634028525735174124481869512712555892816345180978491465126146414700218675544241
m: 1000000000000000000000000000000
deg: 4
c4: 9850
c0: -1
skew: 0.10
# Murphy_E = 2.745e-08
type: snfs
lss: 1
rlim: 820000
alim: 820000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 820000/820000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [410000, 785001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 74350 x 74576
Total sieving time: 1.56 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,123.000,4,0,0,0,0,0,0,0,0,820000,820000,25,25,46,46,2.2,2.2,75000
total time: 1.59 hours.
 --------- CPU info (if available) ----------

841545056599433702709204582342250738425239682669408432971561489619087564191848001558309<87>

4293339016903381010031953113675945600228493<43>
196011787861655408535428219295362573264280313<45>

prp45 = 196011787861655408535428219295362573264280313
prp43 = 4293339016903381010031953113675945600228493

Yafu

618027663658603676986015740606172449959351034310706123334642108870008948977825851336714465428125425031271101762433566810381<123>

126151641025089136298231624283101365958395141481163401<54>
4899085407344719800073519995876867049371675132188599205437187397914981<70>

N=618027663658603676986015740606172449959351034310706123334642108870008948977825851336714465428125425031271101762433566810381
  ( 123 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=126151641025089136298231624283101365958395141481163401 (pp54)
 r2=4899085407344719800073519995876867049371675132188599205437187397914981 (pp70)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.00 hours.
Scaled time: 15.74 units (timescale=7.880).
Factorization parameters were as follows:
n: 618027663658603676986015740606172449959351034310706123334642108870008948977825851336714465428125425031271101762433566810381
m: 100000000000000000000000000000000
deg: 4
c4: 985
c0: -1
skew: 0.18
# Murphy_E = 1.303e-08
type: snfs
lss: 1
rlim: 1070000
alim: 1070000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor 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, 1035001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 157268 x 157493
Total sieving time: 1.98 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,130.000,4,0,0,0,0,0,0,0,0,1070000,1070000,26,26,47,47,2.3,2.3,100000
total time: 2.00 hours.

GNFS, Msieve

99184111421026592450470164511124461519318800347820993137766468357636032303013989111820235640890913593124599<107>

39819698906413457393328032821357797832022144141<47>
2490830271070978857475608060124181605305196640562659435029139<61>

Number: 65666_133
N = 99184111421026592450470164511124461519318800347820993137766468357636032303013989111820235640890913593124599 (107 digits)
SNFS difficulty: 135 digits.
Divisors found:
r1=39819698906413457393328032821357797832022144141 (pp47)
r2=2490830271070978857475608060124181605305196640562659435029139 (pp61)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 3.30 hours.
Factorization parameters were as follows:
n: 99184111421026592450470164511124461519318800347820993137766468357636032303013989111820235640890913593124599
m: 1000000000000000000000000000000000
deg: 4
c4: 985
c0: -1
skew: 0.18
# Murphy_E = 8.294e-09
type: snfs
lss: 1
rlim: 1240000
alim: 1240000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1240000/1240000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 3442578
Relations: 270480 relations
Pruned matrix : 168776 x 169004
Polynomial selection time: 0.00 hours.
Total sieving time: 3.23 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: snfs,135,4,0,0,0,0,0,0,0,0,1240000,1240000,26,26,47,47,2.3,2.3,100000
total time: 3.30 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, Msieve

15843302328854291698431222540172008858735191362661729690852085683674110559256974189029527359<92>

24666733155658623267749347585506836694269<41>
642294309054857155920966265800023184963128124741611<51>

prp41 = 24666733155658623267749347585506836694269
prp51 = 642294309054857155920966265800023184963128124741611

Yafu

2525641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641<139>

357406703000494427504244982700045964383522592236645143425913564464661<69>
7066574309988617455576907976427955970175266928747859670588802927602181<70>

Fri Mar 18 07:30:58 2022  Msieve v. 1.53 (SVN unknown)
Fri Mar 18 07:30:58 2022  random seeds: f273cb78 4cd5f1d8
Fri Mar 18 07:30:58 2022  factoring 2525641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641 (139 digits)
Fri Mar 18 07:30:59 2022  searching for 15-digit factors
Fri Mar 18 07:30:59 2022  commencing number field sieve (139-digit input)
Fri Mar 18 07:30:59 2022  R0: -10000000000000000000000000000000000
Fri Mar 18 07:30:59 2022  R1: 1
Fri Mar 18 07:30:59 2022  A0: -1
Fri Mar 18 07:30:59 2022  A1: 0
Fri Mar 18 07:30:59 2022  A2: 0
Fri Mar 18 07:30:59 2022  A3: 0
Fri Mar 18 07:30:59 2022  A4: 9850
Fri Mar 18 07:30:59 2022  skew 0.10, size 1.440e-14, alpha -0.362, combined = 4.538e-09 rroots = 2
Fri Mar 18 07:30:59 2022  
Fri Mar 18 07:30:59 2022  commencing square root phase
Fri Mar 18 07:30:59 2022  reading relations for dependency 1
Fri Mar 18 07:30:59 2022  read 87743 cycles
Fri Mar 18 07:30:59 2022  cycles contain 246540 unique relations
Fri Mar 18 07:31:02 2022  read 246540 relations
Fri Mar 18 07:31:03 2022  multiplying 246540 relations
Fri Mar 18 07:31:07 2022  multiply complete, coefficients have about 8.05 million bits
Fri Mar 18 07:31:07 2022  initial square root is modulo 1820927369
Fri Mar 18 07:31:13 2022  sqrtTime: 14
Fri Mar 18 07:31:13 2022  p69 factor: 357406703000494427504244982700045964383522592236645143425913564464661
Fri Mar 18 07:31:13 2022  p70 factor: 7066574309988617455576907976427955970175266928747859670588802927602181
Fri Mar 18 07:31:13 2022  elapsed time 00:00:15
Fri Mar 18 07:31:13 2022 -> Computing 1.64756e+09 scale for this machine...
Fri Mar 18 07:31:13 2022 -> procrels -speedtest> PIPE
Fri Mar 18 07:31:15 2022 -> Factorization summary written to s140-65666_138.txt

152582295848396401128938190742219288534407816165382206190351020951480382313112806437261528398612926493466552466960227075459<123>

11633041721196670244524176224521180721411489865380541733841<59>
13116285448402959274708844340888809914175915373208370523646977299<65>

Number: 65666_139
N = 152582295848396401128938190742219288534407816165382206190351020951480382313112806437261528398612926493466552466960227075459 (123 digits)
SNFS difficulty: 142 digits.
Divisors found:
r1=11633041721196670244524176224521180721411489865380541733841 (pp59)
r2=13116285448402959274708844340888809914175915373208370523646977299 (pp65)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 8.06 hours.
Factorization parameters were as follows:
n: 152582295848396401128938190742219288534407816165382206190351020951480382313112806437261528398612926493466552466960227075459
m: 50000000000000000000000000000000000
deg: 4
c4: 788
c0: -5
skew: 0.28
# Murphy_E = 3.144e-09
type: snfs
lss: 1
rlim: 1610000
alim: 1610000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1610000/1610000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 3532784
Relations: 399860 relations
Pruned matrix : 245495 x 245720
Polynomial selection time: 0.00 hours.
Total sieving time: 7.98 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: snfs,142,4,0,0,0,0,0,0,0,0,1610000,1610000,26,26,48,48,2.3,2.3,100000
total time: 8.06 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, Msieve

9213889662440450494763249446788375922284235711435056495413732660020751533274105573932670388068695788598056936809602465926401<124>

162675013000445719385872824610749752419288581373<48>
56639858159502375524435778922683082896304322035299226100923800281771505617237<77>

Number: 65666_144
N = 9213889662440450494763249446788375922284235711435056495413732660020751533274105573932670388068695788598056936809602465926401 (124 digits)
SNFS difficulty: 147 digits.
Divisors found:
r1=162675013000445719385872824610749752419288581373 (pp48)
r2=56639858159502375524435778922683082896304322035299226100923800281771505617237 (pp77)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 6.51 hours.
Factorization parameters were as follows:
n: 9213889662440450494763249446788375922284235711435056495413732660020751533274105573932670388068695788598056936809602465926401
m: 1000000000000000000000000000000000000
deg: 4
c4: 197
c0: -2
skew: 0.32
# Murphy_E = 2.911e-09
type: snfs
lss: 1
rlim: 1920000
alim: 1920000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1920000/1920000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 4343560
Relations: 358406 relations
Pruned matrix : 227115 x 227340
Polynomial selection time: 0.00 hours.
Total sieving time: 6.45 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: snfs,147,4,0,0,0,0,0,0,0,0,1920000,1920000,26,26,49,49,2.3,2.3,100000
total time: 6.51 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, Msieve

6317747418382400102623308318901930600987749342569431082034507087422230774164582130716438971201334103008145725097812840741453402604066448592136489<145>

939376590501502367190023640769550058694411799<45>
6725468233149776346073718588497373489294402626295339256051319287803311391624033872856346492699333311<100>

Number: n
N=6317747418382400102623308318901930600987749342569431082034507087422230774164582130716438971201334103008145725097812840741453402604066448592136489  ( 145 digits)
SNFS difficulty: 148 digits.
Divisors found:

Fri Mar 18 01:55:34 2022  p45 factor: 939376590501502367190023640769550058694411799
Fri Mar 18 01:55:34 2022  p100 factor: 6725468233149776346073718588497373489294402626295339256051319287803311391624033872856346492699333311
Fri Mar 18 01:55:34 2022  elapsed time 00:04:54 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.300).
Factorization parameters were as follows:
#
# N = 97x10^147-2 = 656(147)
#
n: 6317747418382400102623308318901930600987749342569431082034507087422230774164582130716438971201334103008145725097812840741453402604066448592136489
m: 100000000000000000000000000000
deg: 5
c5: 9850
c0: -1
skew: 0.16
# Murphy_E = 1.3e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1424635 hash collisions in 10660811 relations (9601513 unique)
Msieve: matrix is 448646 x 448892 (80.1 MB)

Sieving start time : 2022/03/18 01:35:02
Sieving end time  : 2022/03/18 01:43:28

Total sieving time: 0hrs 8min 26secs.
Total relation processing time: 0hrs 1min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 18sec.

Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] 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)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

27800061424113698994623391474609603169466522938636466938823146301047174231520238701671723412576188881314026847171194324288124909<128>

1259842392963849775403433447674706081323932832323268358149346277<64>
22066300974927901740231780406165441797173200921340436745381536617<65>

N=27800061424113698994623391474609603169466522938636466938823146301047174231520238701671723412576188881314026847171194324288124909
  ( 128 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=1259842392963849775403433447674706081323932832323268358149346277 (pp64)
 r2=22066300974927901740231780406165441797173200921340436745381536617 (pp65)
Version: Msieve v. 1.52 (SVN 927)
Total time: 10.10 hours.
Scaled time: 78.66 units (timescale=7.788).
Factorization parameters were as follows:
n: 27800061424113698994623391474609603169466522938636466938823146301047174231520238701671723412576188881314026847171194324288124909
m: 10000000000000000000000000000000000000
deg: 4
c4: 197
c0: -2
skew: 0.32
# Murphy_E = 1.821e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 2000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 374554 x 374779
Total sieving time: 9.99 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,150.000,4,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000
total time: 10.10 hours.

GNFS, Msieve

2054611996256765523075112173365908359465184863068665066339894348127927944523399837387524442556843441428217617<109>

3673361321851439542054078500780646709865187305443639<52>
559327497688467105897582376573954888292861395662595405303<57>

N=2054611996256765523075112173365908359465184863068665066339894348127927944523399837387524442556843441428217617
  ( 109 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=3673361321851439542054078500780646709865187305443639 (pp52)
 r2=559327497688467105897582376573954888292861395662595405303 (pp57)
Version: Msieve v. 1.52 (SVN 927)
Total time: 12.79 hours.
Scaled time: 101.04 units (timescale=7.899).
Factorization parameters were as follows:
n: 2054611996256765523075112173365908359465184863068665066339894348127927944523399837387524442556843441428217617
m: 10000000000000000000000000000000000000
deg: 4
c4: 985
c0: -1
skew: 0.18
# Murphy_E = 1.299e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 2350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 393980 x 394207
Total sieving time: 12.71 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,150.000,4,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 12.79 hours.

GNFS, Msieve

88895493384173791377230484869257640446261661710774817035084333650265298248165885322687474286448438510905847687<110>

5766714558932227239469608320101185986614069<43>
15415275452897360434275956821494639657673973027544817880201786798923<68>

N=88895493384173791377230484869257640446261661710774817035084333650265298248165885322687474286448438510905847687
  ( 110 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=5766714558932227239469608320101185986614069 (pp43)
 r2=15415275452897360434275956821494639657673973027544817880201786798923 (pp68)
Version: Msieve v. 1.52 (SVN 927)
Total time: 14.45 hours.
Scaled time: 112.88 units (timescale=7.813).
Factorization parameters were as follows:
n: 88895493384173791377230484869257640446261661710774817035084333650265298248165885322687474286448438510905847687
m: 100000000000000000000000000000000000000
deg: 4
c4: 197
c0: -2
skew: 0.32
# Murphy_E = 1.134e-09
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 425368 x 425601
Total sieving time: 14.36 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,154.000,4,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 14.45 hours.

GNFS, Msieve

1818573618026532773406022282849721185622997652905925927148196126819968517071753558827810727750961979568801036939392610959060321686436027923428675851<148>

2326818474510044879987342117118716973436921181257258176532392906709301167<73>
781570903767844390766236273086249786627713437439857576731275622706210142053<75>

Number: n
N=1818573618026532773406022282849721185622997652905925927148196126819968517071753558827810727750961979568801036939392610959060321686436027923428675851  ( 148 digits)
SNFS difficulty: 157 digits.
Divisors found:

Fri Mar 18 20:22:14 2022  p73 factor: 2326818474510044879987342117118716973436921181257258176532392906709301167
Fri Mar 18 20:22:14 2022  p75 factor: 781570903767844390766236273086249786627713437439857576731275622706210142053
Fri Mar 18 20:22:14 2022  elapsed time 00:07:14 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 197x10^156-2 = 656(156)
#
n: 1818573618026532773406022282849721185622997652905925927148196126819968517071753558827810727750961979568801036939392610959060321686436027923428675851
m: 10000000000000000000000000000000
deg: 5
c5: 985
c0: -1
skew: 0.25
# Murphy_E = 7.584e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1798311 hash collisions in 15950311 relations (15144860 unique)
Msieve: matrix is 352213 x 352439 (117.9 MB)

Sieving start time : 2022/03/18 19:43:06
Sieving end time  : 2022/03/18 20:14:28

Total sieving time: 0hrs 31min 22secs.
Total relation processing time: 0hrs 2min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 25sec.

Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] 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)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

16838046743970694654222873888772149962431751482631991136400303527611195102236868520453359400396115376391093398007<113>

1053221940247310103395271025918385212469<40>
15987178106085507470351646698453556269469145543945936146918384570863217403<74>

16838046743970694654222873888772149962431751482631991136400303527611195102236868520453359400396115376391093398007=1053221940247310103395271025918385212469*15987178106085507470351646698453556269469145543945936146918384570863217403

cado polynomial
n: 16838046743970694654222873888772149962431751482631991136400303527611195102236868520453359400396115376391093398007
skew: 15243.735
c0: 3797514252991618921589670
c1: 114055870071094743418
c2: -174109518577416030
c3: -1073464570630
c4: 245691549
c5: 5580
Y0: -6171260282336816163991
Y1: 1595271294869537
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.409e-06
# f(x) = 5580*x^5+245691549*x^4-1073464570630*x^3-174109518577416030*x^2+114055870071094743418*x+3797514252991618921589670
# g(x) = 1595271294869537*x-6171260282336816163991

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 4500000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1053221940247310103395271025918385212469 15987178106085507470351646698453556269469145543945936146918384570863217403
Info:Square Root: Total cpu/real time for sqrt: 456.17/133.052
Info:Filtering - Singleton removal: Total cpu/real time for purge: 65.04/75.9072
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6514879
Info:Lattice Sieving: Average J: 1895.65 for 95067 special-q, max bucket fill -bkmult 1.0,1s:1.238730
Info:Lattice Sieving: Total time: 11280.7s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.21/1.12304
Info:Linear Algebra: Total cpu/real time for bwc: 2297.14/593.39
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1419.6, WCT time 363.98, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13184 iterations)
Info:Linear Algebra: Lingen CPU time 64.66, WCT time 16.45
Info:Linear Algebra: Mksol: CPU time 778.04,  WCT time 198.83, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6528 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.26/16.7369
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 25.23/26.7853
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 26.3s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 292.87
Info:Polynomial Selection (root optimized): Rootsieve time: 291.73
Info:Filtering - Merging: Merged matrix has 417539 rows and total weight 65233884 (156.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 67.58/20.0672
Info:Filtering - Merging: Total cpu/real time for replay: 14.49/11.7474
Info:Quadratic Characters: Total cpu/real time for characters: 15.73/6.07892
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21658/33.000/39.922/45.530/1.061
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16635/32.030/35.352/40.390/0.805
Info:Polynomial Selection (size optimized): Total time: 1831.53
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 93.13/98.2035
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 73.7s
Info:Square Root: Total cpu/real time for sqrt: 456.17/133.052
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 25859.4/7147.46
Info:root: Cleaning up computation data in /tmp/cado.6o0sq9j8
1053221940247310103395271025918385212469 15987178106085507470351646698453556269469145543945936146918384570863217403

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)

7623464015321905330225899829188882148119568673143630870554403814642626807057720193348552257537420500098956571870631449179639189<127>

37596893288014553775793350559291593222937<41>
202768456343497289966144097822692379863998005082917712842889827051066563361676859883997<87>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4632464
Step 1 took 4828ms
Step 2 took 2875ms
********** Factor found in step 2: 37596893288014553775793350559291593222937
Found prime factor of 41 digits: 37596893288014553775793350559291593222937
Prime cofactor 202768456343497289966144097822692379863998005082917712842889827051066563361676859883997 has 87 digits
 

GMP-ECM

288374036267779576074840801418092137043008109130943802190121679446757117476414180208974181887620903665793454602493<114>

2387252882893361954836433904634829209672403<43>
120797439740974931690796512937397089022506697375441084248605142882786031<72>

288374036267779576074840801418092137043008109130943802190121679446757117476414180208974181887620903665793454602493=2387252882893361954836433904634829209672403*120797439740974931690796512937397089022506697375441084248605142882786031

cado polynomial
n: 288374036267779576074840801418092137043008109130943802190121679446757117476414180208974181887620903665793454602493
skew: 16744.446
c0: -83885435143389564243710001
c1: 390366360817893335044
c2: 479097661904985049
c3: -82233635796
c4: -262130880
c5: 70200
Y0: -5293671691874246083300
Y1: 17070897056325187
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.137e-06
# f(x) = 70200*x^5-262130880*x^4-82233635796*x^3+479097661904985049*x^2+390366360817893335044*x-83885435143389564243710001
# g(x) = 17070897056325187*x-5293671691874246083300

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 4500000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 120797439740974931690796512937397089022506697375441084248605142882786031 2387252882893361954836433904634829209672403
Info:Square Root: Total cpu/real time for sqrt: 125.04/95.0346
Info:Filtering - Singleton removal: Total cpu/real time for purge: 100.21/143.438
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7160957
Info:Lattice Sieving: Average J: 1895.5 for 141817 special-q, max bucket fill -bkmult 1.0,1s:1.270490
Info:Lattice Sieving: Total time: 17298.8s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.19/1.13664
Info:Linear Algebra: Total cpu/real time for bwc: 2759.34/2533.81
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1439.17, WCT time 1317.19, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (13312 iterations)
Info:Linear Algebra: Lingen CPU time 487.78, WCT time 435.57
Info:Linear Algebra: Mksol: CPU time 795.41,  WCT time 747.7, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (6656 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.86/16.7717
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 28.36/32.7688
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 31.6s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 270.24
Info:Polynomial Selection (root optimized): Rootsieve time: 269.16
Info:Filtering - Merging: Merged matrix has 423326 rows and total weight 65625653 (155.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 71.11/54.9916
Info:Filtering - Merging: Total cpu/real time for replay: 15.33/16.8051
Info:Quadratic Characters: Total cpu/real time for characters: 15.37/12.5559
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21772/32.570/40.430/45.820/1.075
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16846/32.080/35.781/40.870/0.821
Info:Polynomial Selection (size optimized): Total time: 1803.75
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 126.2/156.566
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 114.6s
Info:Square Root: Total cpu/real time for sqrt: 125.04/95.0346
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 34666.2/12182.4
Info:root: Cleaning up computation data in /tmp/cado.oygfzpm7
120797439740974931690796512937397089022506697375441084248605142882786031 2387252882893361954836433904634829209672403

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)

7774250912186867637138718860619861042765909333329971281923873381662554826587117198080523484463450651704641551064981090732005703331919973093<139>

3188173710518803986593362924584669059040763487573987<52>
2438465283913837344413301580553239508886059233591354489347252144329829254778795642354839<88>

N=7774250912186867637138718860619861042765909333329971281923873381662554826587117198080523484463450651704641551064981090732005703331919973093
  ( 139 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=3188173710518803986593362924584669059040763487573987 (pp52)
 r2=2438465283913837344413301580553239508886059233591354489347252144329829254778795642354839 (pp88)
Version: Msieve v. 1.52 (SVN 927)
Total time: 35.90 hours.
Scaled time: 283.34 units (timescale=7.893).
Factorization parameters were as follows:
n: 7774250912186867637138718860619861042765909333329971281923873381662554826587117198080523484463450651704641551064981090732005703331919973093
m: 1000000000000000000000000000000000
deg: 5
c5: 9850
c0: -1
skew: 0.16
# Murphy_E = 2.196e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2300000, 5100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 943432 x 943657
Total sieving time: 35.65 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,168.000,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 35.90 hours.

GNFS, Msieve

39716314278068996518140038631268880371554698722066584148782028360027764818959028180606315946605422585536912067729743663093203350543818994599456026347<149>

674091520531940612652474142412994602418317288071602317983746583711<66>
58918281966709757025777792537620689722738641862640547473310670404355834426237914677<83>

N=39716314278068996518140038631268880371554698722066584148782028360027764818959028180606315946605422585536912067729743663093203350543818994599456026347
  ( 149 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=674091520531940612652474142412994602418317288071602317983746583711 (pp66)
 r2=58918281966709757025777792537620689722738641862640547473310670404355834426237914677 (pp83)
Version: Msieve v. 1.52 (SVN 927)
Total time: 44.49 hours.
Scaled time: 347.56 units (timescale=7.813).
Factorization parameters were as follows:
n: 39716314278068996518140038631268880371554698722066584148782028360027764818959028180606315946605422585536912067729743663093203350543818994599456026347
m: 5000000000000000000000000000000000
deg: 5
c5: 1576
c0: -5
skew: 0.32
# Murphy_E = 1.759e-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, 5950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 951914 x 952147
Total sieving time: 44.24 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.04 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: 44.49 hours.

GNFS, Msieve

3164634961176572647349005612646990180011905495347047639017431391274725830850593048988529<88>

2054751700470542030133686989086392075110177<43>
1540154443211734658217213134077027942937053777<46>

prp46 = 1540154443211734658217213134077027942937053777
prp43 = 2054751700470542030133686989086392075110177

Yafu

434844508031637487670728863046090825896240321385960746291362256575576070000445812641300551133222573999870068958711820224701<123>

141558274775087984129695200033609361078297816388920335080941<60>
3071840969540858226501805366890479347992857264868999324709305361<64>

434844508031637487670728863046090825896240321385960746291362256575576070000445812641300551133222573999870068958711820224701=141558274775087984129695200033609361078297816388920335080941*3071840969540858226501805366890479347992857264868999324709305361

cado polynomial
n: 434844508031637487670728863046090825896240321385960746291362256575576070000445812641300551133222573999870068958711820224701
skew: 32809.621
c0: -32639998496987794289865600
c1: -1172524045282247657963096
c2: -139126855718809325958
c3: 3061320703132898
c4: 61429642185
c5: 263700
Y0: -475392906111215529283733
Y1: 38035987993543919
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 3.137e-07
# f(x) = 263700*x^5+61429642185*x^4+3061320703132898*x^3-139126855718809325958*x^2-1172524045282247657963096*x-32639998496987794289865600
# g(x) = 38035987993543919*x-475392906111215529283733

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: 141558274775087984129695200033609361078297816388920335080941 3071840969540858226501805366890479347992857264868999324709305361
Info:Square Root: Total cpu/real time for sqrt: 469.98/137.307
Info:Filtering - Singleton removal: Total cpu/real time for purge: 57.27/62.6244
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11626351
Info:Lattice Sieving: Average J: 3793.97 for 160062 special-q, max bucket fill -bkmult 1.0,1s:1.151540
Info:Lattice Sieving: Total time: 47862.5s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.23/2.19714
Info:Linear Algebra: Total cpu/real time for bwc: 7217.04/1859.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4518.77, WCT time 1156.76, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (21760 iterations)
Info:Linear Algebra: Lingen CPU time 119.95, WCT time 30.53
Info:Linear Algebra: Mksol: CPU time 2472.17,  WCT time 631.55, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11008 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 127.96/33.2582
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.27/53.6994
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 53.6s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2436.8
Info:Polynomial Selection (root optimized): Rootsieve time: 2434.42
Info:Filtering - Merging: Merged matrix has 695050 rows and total weight 118664159 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 139.36/40.3112
Info:Filtering - Merging: Total cpu/real time for replay: 25.11/20.8799
Info:Quadratic Characters: Total cpu/real time for characters: 25.74/10.1714
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): 20246/36.590/43.656/48.870/0.898
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15954/35.290/39.038/44.390/0.890
Info:Polynomial Selection (size optimized): Total time: 1994.86
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 122.55/104.318
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 94.7s
Info:Square Root: Total cpu/real time for sqrt: 469.98/137.307
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 103294/15146.8
Info:root: Cleaning up computation data in /tmp/cado.kru93yjq
141558274775087984129695200033609361078297816388920335080941 3071840969540858226501805366890479347992857264868999324709305361

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)

817038929565351646072926035233901633856816661688819902786401399062156943857404796598837981148085917282265309130069117282025332045977032259<138>

501353625180064856439858279043882810458375298691285311<54>
1629665945413092568278910127051069693668896809093727840328140064635940903534739727869<85>

817038929565351646072926035233901633856816661688819902786401399062156943857404796598837981148085917282265309130069117282025332045977032259=501353625180064856439858279043882810458375298691285311*1629665945413092568278910127051069693668896809093727840328140064635940903534739727869

cado polynomial
n: 817038929565351646072926035233901633856816661688819902786401399062156943857404796598837981148085917282265309130069117282025332045977032259
skew: 0.32
type: snfs
c0: -5
c5: 1576
Y0: 50000000000000000000000000000000000
Y1: -1
# f(x) = 1576*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: 1629665945413092568278910127051069693668896809093727840328140064635940903534739727869 501353625180064856439858279043882810458375298691285311
Info:Square Root: Total cpu/real time for sqrt: 235.85/75.5128
Info:Filtering - Singleton removal: Total cpu/real time for purge: 122.84/122.977
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22426674
Info:Lattice Sieving: Average J: 1893.62 for 870254 special-q, max bucket fill -bkmult 1.0,1s:1.191990
Info:Lattice Sieving: Total time: 136299s
Info:Linear Algebra: Total cpu/real time for bwc: 14492.9/3720.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 9176.11, WCT time 2345.81, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (30208 iterations)
Info:Linear Algebra: Lingen CPU time 170.48, WCT time 43.41
Info:Linear Algebra: Mksol: CPU time 4990.13,  WCT time 1274.28, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15104 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 121.85/33.1616
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.82/104.835
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 104.8s
Info:Filtering - Merging: Merged matrix has 962590 rows and total weight 163762315 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 226.24/63.0952
Info:Filtering - Merging: Total cpu/real time for replay: 33.71/28.384
Info:Generate Factor Base: Total cpu/real time for makefb: 2.69/1.47849
Info:Quadratic Characters: Total cpu/real time for characters: 32.28/12.7805
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 213.46/178.169
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 163.1s
Info:Square Root: Total cpu/real time for sqrt: 235.85/75.5128
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 269109/72753.2
Info:root: Cleaning up computation data in /tmp/cado.dols03d9
1629665945413092568278910127051069693668896809093727840328140064635940903534739727869 501353625180064856439858279043882810458375298691285311

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)

520343272434125125220235659128993107306658493814696531158486641503791557179085829522928334848562324540594890824941225498354321790914786448791<141>

68446199078953203475661059974801612102562327603564452733<56>
7602223051624901212672655189065083391086853259208204206920353873993629197688976325027<85>

520343272434125125220235659128993107306658493814696531158486641503791557179085829522928334848562324540594890824941225498354321790914786448791=68446199078953203475661059974801612102562327603564452733*7602223051624901212672655189065083391086853259208204206920353873993629197688976325027

cado polynomial
n: 520343272434125125220235659128993107306658493814696531158486641503791557179085829522928334848562324540594890824941225498354321790914786448791
skew: 0.16
type: snfs
c0: -1
c5: 9850
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 9850*x^5-1
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6700000
tasks.lim1 = 6700000
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: 7602223051624901212672655189065083391086853259208204206920353873993629197688976325027 68446199078953203475661059974801612102562327603564452733
Info:Square Root: Total cpu/real time for sqrt: 312.49/98.8576
Info:Quadratic Characters: Total cpu/real time for characters: 39.29/15.6105
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 214.81/185.362
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 166.7s
Info:Square Root: Total cpu/real time for sqrt: 312.49/98.8576
Info:Linear Algebra: Total cpu/real time for bwc: 21598.7/5535.42
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 13722.12, WCT time 3504.85, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36608 iterations)
Info:Linear Algebra: Lingen CPU time 229.07, WCT time 58.03
Info:Linear Algebra: Mksol: CPU time 7450.97,  WCT time 1900.13, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (18432 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 107.34/113.079
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22410702
Info:Lattice Sieving: Average J: 1894.11 for 1125281 special-q, max bucket fill -bkmult 1.0,1s:1.178730
Info:Lattice Sieving: Total time: 176896s
Info:Generate Free Relations: Total cpu/real time for freerel: 117.68/32.4452
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.45/104.515
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 104.4s
Info:Filtering - Merging: Merged matrix has 1165359 rows and total weight 198872387 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 291.36/80.8444
Info:Filtering - Merging: Total cpu/real time for replay: 41.82/35.7665
Info:Generate Factor Base: Total cpu/real time for makefb: 2.86/1.55212
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 352162/94959.2
Info:root: Cleaning up computation data in /tmp/cado.zi0xkjgf
7602223051624901212672655189065083391086853259208204206920353873993629197688976325027 68446199078953203475661059974801612102562327603564452733

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)

1045480584767705839395480097478325618014186138301295132984353682093407632673678360457255210850699357465457765906855103092785556696342736988873478589<148>

762755557619456601590699874051328297<36>

1370662690456989731558032848334509789779640938173797130360457145346034122669832200167100987534295363046878302837<112>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:391902212
Step 1 took 3437ms
********** Factor found in step 2: 762755557619456601590699874051328297
Found prime factor of 36 digits: 762755557619456601590699874051328297
Composite cofactor 1370662690456989731558032848334509789779640938173797130360457145346034122669832200167100987534295363046878302837 has 112 digits
 

GMP-ECM

1370662690456989731558032848334509789779640938173797130360457145346034122669832200167100987534295363046878302837<112>

667693873769230483514849221828303233973<39>
2052831011791970629305172816324725045754163211353682260740012340502571969<73>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2104585559
Step 1 took 3562ms
Step 2 took 2578ms
********** Factor found in step 2: 667693873769230483514849221828303233973
Found prime factor of 39 digits: 667693873769230483514849221828303233973
Prime cofactor 2052831011791970629305172816324725045754163211353682260740012340502571969 has 73 digits

GMP-ECM

2225094350008386126959891432123451059643064203431305357825878585725045232296923546054181584243690566379465693721670296296258237384523013116062952149111569449749601<163>

10346326133566126264685150715016042201241<41>
30458968653551279663123173482858505315697922862866479<53>
7060688843115957634300293212984412514521126385519209737013224231628359<70>

Number: n
N=2225094350008386126959891432123451059643064203431305357825878585725045232296923546054181584243690566379465693721670296296258237384523013116062952149111569449749601  ( 163 digits)
SNFS difficulty: 182 digits.
Divisors found:

Sat Mar 26 17:14:31 2022  found factor: 7060688843115957634300293212984412514521126385519209737013224231628359
Sat Mar 26 17:15:28 2022  p41 factor: 10346326133566126264685150715016042201241
Sat Mar 26 17:15:28 2022  p53 factor: 30458968653551279663123173482858505315697922862866479
Sat Mar 26 17:15:28 2022  p70 factor: 7060688843115957634300293212984412514521126385519209737013224231628359
Sat Mar 26 17:15:28 2022  elapsed time 00:21:40 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 197x10^181-2 = 656(181)
#
n: 2225094350008386126959891432123451059643064203431305357825878585725045232296923546054181584243690566379465693721670296296258237384523013116062952149111569449749601
m: 1000000000000000000000000000000000000
deg: 5
c5: 985
c0: -1
skew: 0.25
# Murphy_E = 7.753e-11
type: snfs
lss: 1
rlim: 7900000
alim: 7900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3483939 hash collisions in 30538642 relations (28883494 unique)
Msieve: matrix is 890243 x 890470 (304.2 MB)

Sieving start time : 2022/03/26 13:51:20
Sieving end time  : 2022/03/26 16:52:52

Total sieving time: 3hrs 1min 32secs.

Total relation processing time: 0hrs 12min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 55sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7900000,7900000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

78762840521687155736419430151769511223648253006589484758517742744715980558699976517541976284411276892119511349916281081303778349991082902592606270077477107836821395834195653<173>

5810043055783950662322590090123660857775325558877773489190217447<64>
13556326479074545277098239103119511323722972429600045351757741849500267560504334495341297532607354911060157299<110>

Number: n
N=78762840521687155736419430151769511223648253006589484758517742744715980558699976517541976284411276892119511349916281081303778349991082902592606270077477107836821395834195653  ( 173 digits)
SNFS difficulty: 183 digits.
Divisors found:

Sat Mar 26 05:29:12 2022  p64 factor: 5810043055783950662322590090123660857775325558877773489190217447
Sat Mar 26 05:29:12 2022  p110 factor: 13556326479074545277098239103119511323722972429600045351757741849500267560504334495341297532607354911060157299
Sat Mar 26 05:29:12 2022  elapsed time 00:27:42 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 197x10^182-2 = 656(182)
#
n: 78762840521687155736419430151769511223648253006589484758517742744715980558699976517541976284411276892119511349916281081303778349991082902592606270077477107836821395834195653
m: 1000000000000000000000000000000000000
deg: 5
c5: 9850
c0: -1
skew: 0.16
# Murphy_E = 5.504e-11
type: snfs
lss: 1
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3969060 hash collisions in 30991093 relations (28758932 unique)
Msieve: matrix is 1035942 x 1036168 (353.8 MB)

Sieving start time : 2022/03/26 00:36:29
Sieving end time  : 2022/03/26 05:00:37

Total sieving time: 4hrs 24min 8secs.

Total relation processing time: 0hrs 17min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 22sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,8200000,8200000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

243569434205910227554359340853149129255082454904957666159030553562876452204607021790546662965456285951723647887985661222789<123>

1418049930419467982881706326059498463753<40>
171763651604186373806707300972160488301137975398799939235845806534227798356827898013<84>

GMP-ECM 7.0.5-dev [configured with GMP 6.2.1, --enable-asm-redc, --enable-assert] [ECM]
Input number is 243569434205910227554359340853149129255082454904957666159030553562876452204607021790546662965456285951723647887985661222789 (123 digits)

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1611052409
Step 1 took 2735ms
Step 2 took 1578ms
********** Factor found in step 2: 1418049930419467982881706326059498463753
Found prime factor of 40 digits: 1418049930419467982881706326059498463753
Prime cofactor 171763651604186373806707300972160488301137975398799939235845806534227798356827898013 has 84 digits

513399739443063724107365954124030169434973493111171092046135811954611807407297396226270717696041359788196666284005337360837205690565722268512405228615204104624860039981<168>

3072490814244493729653693810623319954276366023987428477<55>
167095614106597584185867492243786557230842989829072276392263414420712625593793564885061038789437180004413259479153<114>

Number: n
N=513399739443063724107365954124030169434973493111171092046135811954611807407297396226270717696041359788196666284005337360837205690565722268512405228615204104624860039981  ( 168 digits)
SNFS difficulty: 186 digits.
Divisors found:

Sun Mar 27 03:11:12 2022  p55 factor: 3072490814244493729653693810623319954276366023987428477
Sun Mar 27 03:11:12 2022  p114 factor: 167095614106597584185867492243786557230842989829072276392263414420712625593793564885061038789437180004413259479153
Sun Mar 27 03:11:12 2022  elapsed time 00:29:57 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
#
# N = 197x10^184-2 = 656(184)
#
n: 513399739443063724107365954124030169434973493111171092046135811954611807407297396226270717696041359788196666284005337360837205690565722268512405228615204104624860039981
m: 5000000000000000000000000000000000000
deg: 5
c5: 1576
c0: -5
skew: 0.32
# Murphy_E = 4.376e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3720867 hash collisions in 30732942 relations (28794941 unique)
Msieve: matrix is 1114172 x 1114397 (384.3 MB)

Sieving start time : 2022/03/26 22:30:08
Sieving end time  : 2022/03/27 02:40:42

Total sieving time: 4hrs 10min 34secs.

Total relation processing time: 0hrs 20min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 22sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

251014358396644924898887704872776049959939902823879322011213182149358316069539992202684492992148140204440329609435799954334085425066687371030782109<147>

7033025848475388577807090436570153327089<40>

35690805608379718211428183489391401008867738230781254648776544119368883683009770980283136269119003605411181<107>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2261122586
Step 1 took 3500ms
Step 2 took 2328ms
********** Factor found in step 2: 7033025848475388577807090436570153327089
Found prime factor of 40 digits: 7033025848475388577807090436570153327089
Composite cofactor 35690805608379718211428183489391401008867738230781254648776544119368883683009770980283136269119003605411181 has 107 digits
 

GMP-ECM

35690805608379718211428183489391401008867738230781254648776544119368883683009770980283136269119003605411181<107>

3004952674169611042319071159993650325714914271<46>
11877327025871553674460843039799035167356590191547548113500211<62>

prp46 = 3004952674169611042319071159993650325714914271
prp62 = 11877327025871553674460843039799035167356590191547548113500211

Yafu

23339467875545921567739904173307534273515492493901608495126818147091798231018269088623835528627699538390018286509322906019845860574312377255331630235755252661167161<164>

45559621500832395645664379042614476231372117086712839513025708182497<68>
512284060022744011313476400676326914716351959517259581113354217979130463715874648649481541985113<96>

Number: n
N=23339467875545921567739904173307534273515492493901608495126818147091798231018269088623835528627699538390018286509322906019845860574312377255331630235755252661167161  ( 164 digits)
SNFS difficulty: 189 digits.
Divisors found:

Wed Mar 30 13:46:46 2022  p68 factor: 45559621500832395645664379042614476231372117086712839513025708182497
Wed Mar 30 13:46:46 2022  p96 factor: 512284060022744011313476400676326914716351959517259581113354217979130463715874648649481541985113
Wed Mar 30 13:46:46 2022  elapsed time 00:42:20 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 197x10^188-2 = 656(188)
#
n: 23339467875545921567739904173307534273515492493901608495126818147091798231018269088623835528627699538390018286509322906019845860574312377255331630235755252661167161
m: 10000000000000000000000000000000000000
deg: 5
c5: 98500
c0: -1
skew: 0.10
# Murphy_E = 2.9e-11
type: snfs
lss: 1
rlim: 10300000
alim: 10300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10300000/10300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3948308 hash collisions in 30433745 relations (28160981 unique)
Msieve: matrix is 1277685 x 1277910 (443.1 MB)

Sieving start time : 2022/03/30 07:36:14
Sieving end time  : 2022/03/30 13:03:51

Total sieving time: 5hrs 27min 37secs.

Total relation processing time: 0hrs 30min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 54sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10300000,10300000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

138127525136319644721029565699363991342868527582895930291206312943655460366854664941375572631696438071484810415327711268178499588191551677<138>

155584690738213134911217294920981602300178351308507672751<57>
887796379456980608305761173128991124334679963930321316088090324348039668148537427<81>

138127525136319644721029565699363991342868527582895930291206312943655460366854664941375572631696438071484810415327711268178499588191551677=155584690738213134911217294920981602300178351308507672751*887796379456980608305761173128991124334679963930321316088090324348039668148537427

cado polynomial
n: 138127525136319644721029565699363991342868527582895930291206312943655460366854664941375572631696438071484810415327711268178499588191551677
skew: 0.16
type: snfs
c0: -1
c5: 9850
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 9850*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: 887796379456980608305761173128991124334679963930321316088090324348039668148537427 155584690738213134911217294920981602300178351308507672751
Info:Square Root: Total cpu/real time for sqrt: 845.17/265.364
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 126.67/142.588
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 141.29999999999998s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 413.46/479.568
Info:Filtering - Merging: Merged matrix has 2665213 rows and total weight 453507372 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 740.36/203.443
Info:Filtering - Merging: Total cpu/real time for replay: 105/96.1902
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29430768
Info:Lattice Sieving: Average J: 1893.69 for 3611094 special-q, max bucket fill -bkmult 1.0,1s:1.137560
Info:Lattice Sieving: Total time: 1.02752e+06s
Info:Linear Algebra: Total cpu/real time for bwc: 125259/32087.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 80326.33, WCT time 20475.86, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (83456 iterations)
Info:Linear Algebra: Lingen CPU time 582.34, WCT time 147.68
Info:Linear Algebra: Mksol: CPU time 43379.1,  WCT time 11104.91, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (41984 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 523.66/532.551
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 434.6s
Info:Quadratic Characters: Total cpu/real time for characters: 93.79/40.2066
Info:Generate Factor Base: Total cpu/real time for makefb: 5.07/2.44177
Info:Generate Free Relations: Total cpu/real time for freerel: 120/31.3625
Info:Square Root: Total cpu/real time for sqrt: 845.17/265.364
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.12557e+06/119263
Info:root: Cleaning up computation data in /tmp/cado.rnfkwrv4
887796379456980608305761173128991124334679963930321316088090324348039668148537427 155584690738213134911217294920981602300178351308507672751

cado-nfs-3.0.0

Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

66107928798116192590334701913079987683295967387073868415072885871862582398153768838876849337470412332854058746732407<116>

18894722605380058013151686924933449405741679897033<50>
3498750957015516569056231535075148149311077206178553817710874959679<67>

66107928798116192590334701913079987683295967387073868415072885871862582398153768838876849337470412332854058746732407=18894722605380058013151686924933449405741679897033*3498750957015516569056231535075148149311077206178553817710874959679

cado polynomial
n: 66107928798116192590334701913079987683295967387073868415072885871862582398153768838876849337470412332854058746732407
skew: 8868.079
c0: 6366101892728109256204536
c1: 3987564106562526598090
c2: -766053419238632255
c3: 170114828890195
c4: 7942055114
c5: 173640
Y0: -11609891104618548168925
Y1: 401985261300138319
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 9.620e-07
# f(x) = 173640*x^5+7942055114*x^4+170114828890195*x^3-766053419238632255*x^2+3987564106562526598090*x+6366101892728109256204536
# g(x) = 401985261300138319*x-11609891104618548168925

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 4500000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 18894722605380058013151686924933449405741679897033 3498750957015516569056231535075148149311077206178553817710874959679
Info:Square Root: Total cpu/real time for sqrt: 146.3/110.744
Info:Filtering - Singleton removal: Total cpu/real time for purge: 103.34/168.112
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7475078
Info:Lattice Sieving: Average J: 1894.8 for 179993 special-q, max bucket fill -bkmult 1.0,1s:1.262160
Info:Lattice Sieving: Total time: 40830.9s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.23/3.7707
Info:Linear Algebra: Total cpu/real time for bwc: 3152.33/2892.83
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1635.75, WCT time 1489.42, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (14464 iterations)
Info:Linear Algebra: Lingen CPU time 567.11, WCT time 513.41
Info:Linear Algebra: Mksol: CPU time 909.82,  WCT time 853.89, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7296 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 64.31/50.0196
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 30.55/52.583
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 50.9s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 307.84
Info:Polynomial Selection (root optimized): Rootsieve time: 306.7
Info:Filtering - Merging: Merged matrix has 460871 rows and total weight 71579651 (155.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 79.39/61.6913
Info:Filtering - Merging: Total cpu/real time for replay: 17.22/19.06
Info:Quadratic Characters: Total cpu/real time for characters: 16.76/13.9695
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21877/33.240/41.334/47.550/1.061
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17331/33.240/36.603/41.750/0.841
Info:Polynomial Selection (size optimized): Total time: 1789.49
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 133.85/217.55
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 176.89999999999998s
Info:Square Root: Total cpu/real time for sqrt: 146.3/110.744
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 42616/24928.4
Info:root: Cleaning up computation data in /tmp/cado.ly6skwtz
18894722605380058013151686924933449405741679897033 3498750957015516569056231535075148149311077206178553817710874959679

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)

87525213481548618701072517082966793733727863229635948426767609450945894312193994970632402989185971085579221425461395605079128124472405121780005153768915664791761078381716560481255387021388141<191>

3217996135527916793950189372058904415234845896290856633<55>
27198669543209375009429823993978939835781024043660384893088318592360968673252454950753412428411102499498790870683090775385519260675937877<137>

Number: n
N=87525213481548618701072517082966793733727863229635948426767609450945894312193994970632402989185971085579221425461395605079128124472405121780005153768915664791761078381716560481255387021388141  ( 191 digits)
SNFS difficulty: 196 digits.
Divisors found:

Thu Apr  7 10:38:52 2022  p55 factor: 3217996135527916793950189372058904415234845896290856633
Thu Apr  7 10:38:52 2022  p137 factor: 27198669543209375009429823993978939835781024043660384893088318592360968673252454950753412428411102499498790870683090775385519260675937877
Thu Apr  7 10:38:52 2022  elapsed time 01:05:13 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 197x10^194-2 = 656(194)
#
n: 87525213481548618701072517082966793733727863229635948426767609450945894312193994970632402989185971085579221425461395605079128124472405121780005153768915664791761078381716560481255387021388141
m: 500000000000000000000000000000000000000
deg: 5
c5: 1576
c0: -5
skew: 0.32
# Murphy_E = 1.694e-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 4281633 hash collisions in 31442403 relations (28838411 unique)
Msieve: matrix is 1672261 x 1672486 (582.1 MB)

Sieving start time : 2022/04/07 01:36:00
Sieving end time  : 2022/04/07 09:33:02

Total sieving time: 7hrs 57min 2secs.
Total relation processing time: 0hrs 54min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 16sec.

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) ----------
[    0.118659] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154096] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.11 BogoMIPS (lpj=12798228)
[    0.152007] smpboot: Total of 16 processors activated (102385.82 BogoMIPS)

14764636221899772610443933061446140293592875383745922903962065782382280278649186793009718270758226471935015737001578998973770566925257733727903<143>

10019603491216241033182649923899636430827166180701431044823<59>
1473574900927297109086309384891468252218772766099829386219976405554217210289254211961<85>

14764636221899772610443933061446140293592875383745922903962065782382280278649186793009718270758226471935015737001578998973770566925257733727903=10019603491216241033182649923899636430827166180701431044823*1473574900927297109086309384891468252218772766099829386219976405554217210289254211961

cado polynomial
n: 14764636221899772610443933061446140293592875383745922903962065782382280278649186793009718270758226471935015737001578998973770566925257733727903
skew: 0.40
type: snfs
c0: -2
c5: 197
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 197*x^5-2
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13600000
tasks.lim1 = 13600000
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 = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 10019603491216241033182649923899636430827166180701431044823 1473574900927297109086309384891468252218772766099829386219976405554217210289254211961
Info:Square Root: Total cpu/real time for sqrt: 753.93/242.372
Info:Generate Free Relations: Total cpu/real time for freerel: 119.11/31.3785
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29780160
Info:Lattice Sieving: Average J: 1965.84 for 3825707 special-q, max bucket fill -bkmult 1.0,1s:1.145880
Info:Lattice Sieving: Total time: 1.1513e+06s
Info:Quadratic Characters: Total cpu/real time for characters: 93.3/42.3734
Info:Generate Factor Base: Total cpu/real time for makefb: 5.7/2.64121
Info:Square Root: Total cpu/real time for sqrt: 753.93/242.372
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 567.79/577.001
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 471.19999999999993s
Info:Filtering - Merging: Merged matrix has 2712216 rows and total weight 463289455 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 764.45/209.285
Info:Filtering - Merging: Total cpu/real time for replay: 105.3/97.0485
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 128.59/137.446
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 136.19999999999996s
Info:Linear Algebra: Total cpu/real time for bwc: 130488/33430.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 83750.87, WCT time 21344.94, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (84992 iterations)
Info:Linear Algebra: Lingen CPU time 581.59, WCT time 147.54
Info:Linear Algebra: Mksol: CPU time 45156.18,  WCT time 11562.0, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (42496 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 473.27/520.046
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.36427e+06/41357.4
10019603491216241033182649923899636430827166180701431044823 1473574900927297109086309384891468252218772766099829386219976405554217210289254211961

cado-nfs-3.0.0

Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

198039488479248020642038009476262774108247903456030055026508218480548280513814661795434210817801232946532046685202002627592672577112118020151<141>

6678109801420400273730111136319128433256698393<46>
29655021311138972326304657934195174189723089535988772694158924673390148130983248907121038169807<95>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 198039488479248020642038009476262774108247903456030055026508218480548280513814661795434210817801232946532046685202002627592672577112118020151 (141 digits)
Using B1=21770000, B2=96186870796, polynomial Dickson(12), sigma=1:2555264357
Step 1 took 43701ms
Step 2 took 16937ms
********** Factor found in step 2: 6678109801420400273730111136319128433256698393
Found prime factor of 46 digits: 6678109801420400273730111136319128433256698393
Prime cofactor 29655021311138972326304657934195174189723089535988772694158924673390148130983248907121038169807 has 95 digits

12860252919217180496577955343822286622102649157521162937099250590287009426368710823215623149157699417509021403<110>

47356266190811722254961855698338564296806411761<47>
271563912310983359334618612293666231812616892171148459456406923<63>

12860252919217180496577955343822286622102649157521162937099250590287009426368710823215623149157699417509021403=47356266190811722254961855698338564296806411761*271563912310983359334618612293666231812616892171148459456406923

cado polynomial
n: 12860252919217180496577955343822286622102649157521162937099250590287009426368710823215623149157699417509021403
skew: 18857.544
c0: 363518448739716283779150
c1: 2453608206887529457977
c2: -439372950707281814
c3: -16438497653229
c4: 277915584
c5: 12240
Y0: -1317145126730416481219
Y1: 4461541417447979
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.653e-06
# f(x) = 12240*x^5+277915584*x^4-16438497653229*x^3-439372950707281814*x^2+2453608206887529457977*x+363518448739716283779150
# g(x) = 4461541417447979*x-1317145126730416481219

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: 47356266190811722254961855698338564296806411761 271563912310983359334618612293666231812616892171148459456406923
Info:Square Root: Total cpu/real time for sqrt: 76.04/57.952
Info:Filtering - Singleton removal: Total cpu/real time for purge: 62.91/99.424
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5091730
Info:Lattice Sieving: Average J: 1894.64 for 76981 special-q, max bucket fill -bkmult 1.0,1s:1.303320
Info:Lattice Sieving: Total time: 12734.5s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.36/1.05926
Info:Linear Algebra: Total cpu/real time for bwc: 1151.87/1096.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 569.18, WCT time 553.16, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (8832 iterations)
Info:Linear Algebra: Lingen CPU time 244.17, WCT time 211.09
Info:Linear Algebra: Mksol: CPU time 315.66,  WCT time 310.9, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4480 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 20.76/37.1152
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 35.6s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 285.63
Info:Polynomial Selection (root optimized): Rootsieve time: 284.53
Info:Generate Free Relations: Total cpu/real time for freerel: 62.92/41.6054
Info:Filtering - Merging: Merged matrix has 279591 rows and total weight 43338581 (155.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 44.95/34.9652
Info:Filtering - Merging: Total cpu/real time for replay: 10.04/11.3793
Info:Quadratic Characters: Total cpu/real time for characters: 10.53/8.50567
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): 11747/30.390/38.721/45.160/1.082
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9112/30.690/34.299/39.180/0.835
Info:Polynomial Selection (size optimized): Total time: 942.74
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 86.01/132.358
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 99.4s
Info:Square Root: Total cpu/real time for sqrt: 76.04/57.952
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 20440.7/4945.03
Info:root: Cleaning up computation data in /tmp/cado.qtrow0lr
47356266190811722254961855698338564296806411761 271563912310983359334618612293666231812616892171148459456406923

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)

1499459045973497168687850367262849619457853206092116729188707437776289393556178014483432715054331285112935262272211857654999448683986882071257<142>

112070955038563878258958435605149986740377194961121518442116953397<66>
13379550887716891473748902192787549381196257082258946854504024223950192191381<77>

1499459045973497168687850367262849619457853206092116729188707437776289393556178014483432715054331285112935262272211857654999448683986882071257= 112070955038563878258958435605149986740377194961121518442116953397*13379550887716891473748902192787549381196257082258946854504024223950192191381

cado polynomial
n: 1499459045973497168687850367262849619457853206092116729188707437776289393556178014483432715054331285112935262272211857654999448683986882071257
skew: 0.32
type: snfs
c0: -5
c5: 1576
Y0: 5000000000000000000000000000000000000000
Y1: -1
# f(x) = 1576*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: 13379550887716891473748902192787549381196257082258946854504024223950192191381 112070955038563878258958435605149986740377194961121518442116953397
Info:Square Root: Total cpu/real time for sqrt: 1267.77/412.097
Info:Generate Free Relations: Total cpu/real time for freerel: 236.88/61.2872
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 935.12/975.096
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 811.1000000000001s
Info:Square Root: Total cpu/real time for sqrt: 1267.77/412.097
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 219.83/227.271
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 226.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 651.93/644.043
Info:Filtering - Merging: Merged matrix has 3904808 rows and total weight 663959783 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1138.85/322.318
Info:Filtering - Merging: Total cpu/real time for replay: 158.37/150.396
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 50338112
Info:Lattice Sieving: Average J: 1893.89 for 5618588 special-q, max bucket fill -bkmult 1.0,1s:1.134120
Info:Lattice Sieving: Total time: 1.50843e+06s
Info:Linear Algebra: Total cpu/real time for bwc: 292171/74945
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 188182.84, WCT time 47905.39, iteration CPU time 0.37, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (122368 iterations)
Info:Linear Algebra: Lingen CPU time 863.07, WCT time 219.05
Info:Linear Algebra: Mksol: CPU time 101531.63,  WCT time 26188.22, iteration CPU time 0.4, COMM 0.02, cpu-wait 0.01, comm-wait 0.0 (61440 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 141.78/59.7838
Info:Generate Factor Base: Total cpu/real time for makefb: 6.77/3.07846
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.09781e+06/832626
Info:root: Cleaning up computation data in /tmp/cado.76ymnhg9
13379550887716891473748902192787549381196257082258946854504024223950192191381 112070955038563878258958435605149986740377194961121518442116953397

cado-nfs-3.0.0

Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

13722377877484506476906244776185001519372922605366296444917457781761716508420171200358882295068324693113234133136174246365655205144354164696717038815298105333695626371<167>

489250425389952794308804835517680217386837<42>

28047758704649473929284942600512437729956686100792645536560808538140236175655255480283023528323826882094088224902026154609783<125>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3079763731
Step 1 took 27854ms
Step 2 took 13026ms
********** Factor found in step 2: 489250425389952794308804835517680217386837
Found prime factor of 42 digits: 489250425389952794308804835517680217386837
Composite cofactor 28047758704649473929284942600512437729956686100792645536560808538140236175655255480283023528323826882094088224902026154609783 has 125 digits

28047758704649473929284942600512437729956686100792645536560808538140236175655255480283023528323826882094088224902026154609783<125>

2619744082691551354346754816415712143194115302624782341333<58>
10706297187560750298199720738512897949101279318773818547754504794651<68>

04/09/22 06:56:03, nfs: commencing nfs on c125: 28047758704649473929284942600512437729956686100792645536560808538140236175655255480283023528323826882094088224902026154609783
04/09/22 06:56:03, nfs: commencing poly selection with 64 threads
04/09/22 06:56:03, nfs: setting deadline of 423 seconds
04/09/22 06:56:03, nfs: expecting degree 5 poly E from 1.45e-10 to > 1.67e-10
04/09/22 06:56:03, nfs: searching for good quality poly E > 1.56e-10
04/09/22 07:46:57, nfs: completed 75 ranges of size 250 in 3053.6066 seconds
04/09/22 07:46:57, nfs: best poly = # norm 7.833002e-12 alpha -6.915972 e 1.732e-10 rroots 5

n: 28047758704649473929284942600512437729956686100792645536560808538140236175655255480283023528323826882094088224902026154609783
skew: 124629.32
c0: -373164997027940990149125921981
c1: 253761815975469683156413
c2: 352332635529380536863
c3: 2630382036317043
c4: -24019733306
c5: 19320
Y0: -1077567204177807129192100
Y1: 659946715640977
rlim: 7000000
alim: 7000000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5

04/09/22 07:46:57, nfs: commencing lattice sieving with 64 threads
04/09/22 07:49:29, nfs: commencing lattice sieving with 64 threads
04/09/22 07:52:02, nfs: commencing lattice sieving with 64 threads
04/09/22 07:54:47, nfs: commencing lattice sieving with 64 threads
04/09/22 07:57:24, nfs: commencing lattice sieving with 64 threads
04/09/22 08:00:06, nfs: commencing lattice sieving with 64 threads
04/09/22 08:02:54, nfs: commencing lattice sieving with 64 threads
04/09/22 08:05:37, nfs: commencing lattice sieving with 64 threads
04/09/22 08:08:30, nfs: commencing lattice sieving with 64 threads
04/09/22 08:11:17, nfs: commencing msieve filtering
04/09/22 08:13:43, nfs: raising min_rels by 5.00 percent to 11751125
04/09/22 08:13:43, nfs: commencing lattice sieving with 64 threads
04/09/22 08:16:30, nfs: commencing msieve filtering
04/09/22 08:19:00, nfs: commencing msieve linear algebra
04/09/22 08:21:56, random seed: 16137831403443733186
04/09/22 08:22:35, nfs: previous data file found - commencing search for last special-q
04/09/22 08:22:35, nfs: parsing special-q from .dat file
04/09/22 08:22:35, nfs: commencing nfs on c125: 28047758704649473929284942600512437729956686100792645536560808538140236175655255480283023528323826882094088224902026154609783
04/09/22 08:22:35, nfs: resuming with filtering
04/09/22 08:22:35, nfs: commencing msieve filtering
04/09/22 08:25:05, nfs: commencing msieve linear algebra
04/09/22 08:37:26, nfs: commencing msieve sqrt
04/09/22 08:38:41, p58 = 2619744082691551354346754816415712143194115302624782341333
04/09/22 08:38:41, p68 = 10706297187560750298199720738512897949101279318773818547754504794651
04/09/22 08:38:41, NFS elapsed time = 966.0694 seconds.

YAFU 2.08

Dual Intel Xeon 8375C, 2x32 @ 2.90GHZ, Ubuntu 20.04

15260869397944719713076609634545423773513273880531160289979956597034792362236020993384724220687504334745380952830375304406594836756792243611665958615826660783<158>

3218476145027415232456132089956426419060118240747<49>
175175585748779725915771158970367677322988391766117<51>
27067952319519533835577946772387899530651430592394169219017<59>

GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 15260869397944719713076609634545423773513273880531160289979956597034792362236020993384724220687504334745380952830375304406594836756792243611665958615826660783 (158 digits)
Using B1=20650000, B2=70272954580, polynomial Dickson(12), sigma=1:2526098969
Step 1 took 50556ms
Step 2 took 15472ms
********** Factor found in step 2: 3218476145027415232456132089956426419060118240747
Found prime factor of 49 digits: 3218476145027415232456132089956426419060118240747
Composite cofactor 4741644402591875177485659383085217873905302896246604307480526404393748113836678738698082118494271171212646989 has 109 digits

CADO

STA:Mon 11 Jul 2022 04:53:02 AEST (4741644402591875177485659383085217873905302896246604307480526404393748113836678738698082118494271171212646989 - C109)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 4741644402591875177485659383085217873905302896246604307480526404393748113836678738698082118494271171212646989 2>&1 | tee -a log171

Debug:root: Looking for parameter file for c109 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c110
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c110
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.mpc9dsfw
Info:Database: Opened connection to database /tmp/cado.mpc9dsfw/c110.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 4741644402591875177485659383085217873905302896246604307480526404393748113836678738698082118494271171212646989
Debug:root: Root parameter dictionary:
N = 4741644402591875177485659383085217873905302896246604307480526404393748113836678738698082118494271171212646989
lim0 = 2910696
lim1 = 3533488
lpb0 = 25
lpb1 = 25
name = c110
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 4741644402591875177485659383085217873905302896246604307480526404393748113836678738698082118494271171212646989
skew: 6297.926
c0: -574578191348254353848640
c1: 82224372592797183982
c2: 113527099658017071
c3: -1381853772589
c4: -1908791568
c5: 11520
Y0: -1586093929449433080542
Y1: 152104690653629
# MurphyE (Bf=3.53e+06,Bg=2.91e+06,area=2.96e+13) = 5.94e-09
# f(x) = 11520*x^5-1908791568*x^4-1381853772589*x^3+113527099658017071*x^2+82224372592797183982*x-574578191348254353848640
# g(x) = 152104690653629*x-1586093929449433080542
===
Info:Square Root: finished
Info:Square Root: Factors: 175175585748779725915771158970367677322988391766117 27067952319519533835577946772387899530651430592394169219017
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 27840.2
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 28028/31.220/38.435/43.070/0.978
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 28028/31.150/34.757/39.300/1.116
Info:Polynomial Selection (size optimized): Total time: 985.98
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 253.73
Info:Polynomial Selection (root optimized): Rootsieve time: 252.83
Info:Generate Factor Base: Total cpu/real time for makefb: 4.48/0.432793
Info:Generate Free Relations: Total cpu/real time for freerel: 35.83/2.39509
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3660263
Info:Lattice Sieving: Average J: 1892.33 for 84122 special-q, max bucket fill: 0.756555
Info:Lattice Sieving: Total CPU time: 21488.1s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 8.74/9.22135
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 8.899999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 52.61/23.4531
Info:Filtering - Singleton removal: Total cpu/real time for purge: 34.53/19.2269
Info:Filtering - Merging: Total cpu/real time for merge: 119.95/96.2991
Info:Filtering - Merging: Total cpu/real time for replay: 12.46/9.72124
Info:Linear Algebra: Total cpu/real time for bwc: 2858.68/0.000314236
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 114.78
Info:Linear Algebra: Lingen CPU time 70.36, WCT time 7.19
Info:Linear Algebra: Mksol: WCT time 68.98
Info:Quadratic Characters: Total cpu/real time for characters: 12.68/2.94422
Info:Square Root: Total cpu/real time for sqrt: 266.44/37.3929
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 26134.2/1965.14
Info:root: Cleaning up computation data in /tmp/cado.mpc9dsfw
175175585748779725915771158970367677322988391766117 27067952319519533835577946772387899530651430592394169219017

END:Mon 11 Jul 2022 05:25:48 AEST (4741644402591875177485659383085217873905302896246604307480526404393748113836678738698082118494271171212646989 - C109)

7097857310960750348876283650337271794032917908868615229624546580606326354384869394290077971788609353670262174232223008068085566127765050195313255046650364996912001<163>

10832448672480655180421647172395565114750343240783808651117<59>
655240336286340788563953580673293953242223165740875145443651997996763952307876252502428627435729106068453<105>

Number: n
N=7097857310960750348876283650337271794032917908868615229624546580606326354384869394290077971788609353670262174232223008068085566127765050195313255046650364996912001  ( 163 digits)
SNFS difficulty: 206 digits.
Divisors found:

Wed Feb 14 11:00:08 2024  prp59 factor: 10832448672480655180421647172395565114750343240783808651117
Wed Feb 14 11:00:08 2024  prp105 factor: 655240336286340788563953580673293953242223165740875145443651997996763952307876252502428627435729106068453
Wed Feb 14 11:00:08 2024  elapsed time 03:55:53 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.094).
Factorization parameters were as follows:
#
# N = 197x10^204-2 = 656(204)
#
n: 7097857310960750348876283650337271794032917908868615229624546580606326354384869394290077971788609353670262174232223008068085566127765050195313255046650364996912001
m: 10000000000000000000000000000000000
deg: 6
c6: 197
c0: -2
skew: 0.47
# Murphy_E = 7.348e-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, 92800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3161309 hash collisions in 19091720 relations (16650679 unique)
Msieve: matrix is 2687748 x 2687973 (760.6 MB)

Sieving start time: 2024/02/12 11:52:14
Sieving end time  : 2024/02/14 07:03:54

Total sieving time: 43hrs 11min 40secs.

Total relation processing time: 3hrs 41min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 35sec.

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) ----------

1044301503188067695649996333979051914731103563148989611514936176086640982775049095757122206346976782022552313776789630693813962178119557047172027088961363302047620757150642871270596224638376177<193>

16252951680129803835781273893873424767142607539909014100161488836015100101806279747927521499382986503317418436497468181689892530438822287103124314816431895412872870709664638787761639009144369329639<197>

107809799529733899120729284075467867726603<42>
150755791690784531454228412731555910118989622076947931924875543611514428616007783769965785474227124867857714044088516498252762200440413592872373101408174613<156>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:198364030
Step 1 took 9765ms
Step 2 took 4725ms
********** Factor found in step 2: 107809799529733899120729284075467867726603
Found prime factor of 42 digits: 107809799529733899120729284075467867726603
Prime cofactor 150755791690784531454228412731555910118989622076947931924875543611514428616007783769965785474227124867857714044088516498252762200440413592872373101408174613 has 156 digits

328333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<210>

139637788376608038659005306126263587494327730243<48>
2351321495065553149695663602067303846554742977108875853931457654593808367815960505726416335651744674080231555260210432476405181808464797810466844785996467703850631<163>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3434172002
Step 1 took 36250ms
Step 2 took 14656ms
********** Factor found in step 2: 139637788376608038659005306126263587494327730243
Found prime factor of 48 digits: 139637788376608038659005306126263587494327730243
Prime cofactor 2351321495065553149695663602067303846554742977108875853931457654593808367815960505726416335651744674080231555260210432476405181808464797810466844785996467703850631 has 163 digits
 

GMP-ECM

5011053588760169036256140678651151358222813159147338184906402572234986348668786810559522571867279498422682018198487392052120590918036326662180872142638118072404715314416375203667921<181>

2120353934404596382199625108949322588225593<43>
2363309967949899053601727396547773571801914392946340119769681321017446679743144209879781197734208935277175669548207109714084542294155127897<139>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3634377403
Step 1 took 21640ms
Step 2 took 9481ms
********** Factor found in step 2: 2120353934404596382199625108949322588225593
Found prime factor of 43 digits: 2120353934404596382199625108949322588225593
Prime cofactor 2363309967949899053601727396547773571801914392946340119769681321017446679743144209879781197734208935277175669548207109714084542294155127897 has 139 digits

141231897421928020463820590029449299553885862672282516296845114226746662367512899006848367330865939453309863383438311713122615617656175051872260995051786853609667615643679<171>

60322126278400391940718966256353726498867046359238165227509339212444117827178639230816339028721905811745973421519995100741012921795578418764161920509522934656133259844448527160267009614795762140976177353175332231<212>

19749108236240391589666609984116452050909517204844171385207783493249789202527308917382617189715672642441181871187887076207899622582909369207926413660198761655521161507450881156024907408152509<191>

1267776681787519171694328249126448129818835050667323985683585676711103653602287379575304929010204744043264247426193391101827128026042659993081989322077616520763<160>

5733406675817280706064988264948544744463092883553145897704417227541949608523968804271303849215867374954008900425449119153093500259596105105247355379416332787682475760210850635202896598413214257696717800606427<208>

3440082764994451260367909279142711721839686172353<49>

1666647888288969262998379510526630296857768042520957111838269346930228168206041420519043126170214026094097092645960823847851178559569399873817130119770123439259<160>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1311916093
Step 1 took 142990ms
Step 2 took 37349ms
********** Factor found in step 2: 3440082764994451260367909279142711721839686172353
Found probable prime factor of 49 digits: 3440082764994451260367909279142711721839686172353
Composite cofactor 1666647888288969262998379510526630296857768042520957111838269346930228168206041420519043126170214026094097092645960823847851178559569399873817130119770123439259 has 160 digits

13083109891083442215357020801879079921331326636640597408003489537696025829379511265487380377540032655973581946955361093168876649650654401217937913271865296831855207562542246158779012460300730887602006749822116193689<215>

16895061657832338903761567335441058457451512147412813180242678621331407479<74>
774374794010785772429187522164237680938065747462346564484567388927645743891783184962230739426387383641359190333068636197782503263009854458991<141>

Number: 65666_219
N = 13083109891083442215357020801879079921331326636640597408003489537696025829379511265487380377540032655973581946955361093168876649650654401217937913271865296831855207562542246158779012460300730887602006749822116193689 (215 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=16895061657832338903761567335441058457451512147412813180242678621331407479 (pp74)
r2=774374794010785772429187522164237680938065747462346564484567388927645743891783184962230739426387383641359190333068636197782503263009854458991 (pp141)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 58.94 hours.
Factorization parameters were as follows:
n: 13083109891083442215357020801879079921331326636640597408003489537696025829379511265487380377540032655973581946955361093168876649650654401217937913271865296831855207562542246158779012460300730887602006749822116193689
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 197
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: 31662068
Relations: 8860862 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 17.12 hours.
Total relation processing time: 0.37 hours.
Pruned matrix : 7550868 x 7551093
Matrix solve time: 41.19 hours.
time per square root: 0.25 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: 58.94 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

17030856493477504393366827405463229871920259581387450751468630895304903793703489281725187449505502774353391291952949302412612071790102458649700539218539527042306408515939916293264347974380746737913<197>

238881390270774143418793416773481843887831<42>

71294195308277801498206893595154243744355027663178878138626369729535643263119928663861327246599267221302705961684666891212767285412331699858656041652763823<155>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1561103144
Step 1 took 24650ms
Step 2 took 9477ms
********** Factor found in step 2: 238881390270774143418793416773481843887831
Found prime factor of 42 digits: 238881390270774143418793416773481843887831
Composite cofactor 71294195308277801498206893595154243744355027663178878138626369729535643263119928663861327246599267221302705961684666891212767285412331699858656041652763823 has 155 digits

71294195308277801498206893595154243744355027663178878138626369729535643263119928663861327246599267221302705961684666891212767285412331699858656041652763823<155>

26459483512725431165128031413137130193139191299807423193<56>
2694466627588915403510786003845785227291860703893312727987839872801690356602911398191941874953395911<100>

Number: 65666_220
N = 71294195308277801498206893595154243744355027663178878138626369729535643263119928663861327246599267221302705961684666891212767285412331699858656041652763823 (155 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=26459483512725431165128031413137130193139191299807423193 (pp56)
r2=2694466627588915403510786003845785227291860703893312727987839872801690356602911398191941874953395911 (pp100)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 47.77 hours.
Factorization parameters were as follows:
n: 71294195308277801498206893595154243744355027663178878138626369729535643263119928663861327246599267221302705961684666891212767285412331699858656041652763823
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 197
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: 31457060
Relations: 7077246 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 11.85 hours.
Total relation processing time: 0.42 hours.
Pruned matrix : 6192099 x 6192324
Matrix solve time: 35.32 hours.
time per square root: 0.18 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: 47.77 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_Factory, Msieve

126117413648897521725716713805039397620959884947067975440914307501168242375897201646805336660077866442732004037286080954826922063718169365118328882006759440132162521303692906882113665014037366103274569134493<207>

296208129919040403002742252679918380460204855000537<51>
425772964716964147343051567098612668944650644692479692721324457493030502669922818080305235316986036520382790292712533285377473893922420271408135685031609189<156>

Number: 65666_221
N = 126117413648897521725716713805039397620959884947067975440914307501168242375897201646805336660077866442732004037286080954826922063718169365118328882006759440132162521303692906882113665014037366103274569134493 (207 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=296208129919040403002742252679918380460204855000537 (pp51)
r2=425772964716964147343051567098612668944650644692479692721324457493030502669922818080305235316986036520382790292712533285377473893922420271408135685031609189 (pp156)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 58.34 hours.
Factorization parameters were as follows:
n: 126117413648897521725716713805039397620959884947067975440914307501168242375897201646805336660077866442732004037286080954826922063718169365118328882006759440132162521303692906882113665014037366103274569134493
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 985
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: 30267584
Relations: 8858586 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 15.16 hours.
Total relation processing time: 0.47 hours.
Pruned matrix : 7498388 x 7498613
Matrix solve time: 42.44 hours.
time per square root: 0.27 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: 58.34 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

50549001880553739834662960749566870955382122970110602582971572272341213705187982855567048416211342100091080306696223215737362782883014431397460174123724161268412111433000233368111<179>

35978093466342232393204151902914557296232050979<47>
1404993900742480922031596148848673605484124104054196080543753601528533490398661941071758291477345448573927810450581250146151273656709<133>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1617466336
Step 1 took 59620ms
Step 2 took 24192ms
********** Factor found in step 2: 35978093466342232393204151902914557296232050979
Found prime factor of 47 digits: 35978093466342232393204151902914557296232050979
Prime cofactor 1404993900742480922031596148848673605484124104054196080543753601528533490398661941071758291477345448573927810450581250146151273656709 has 133 digits

5432617083430810287845676431889689234143736227361872631227998199659682778877888091958858775104876045786263630052082013284825551169572228788128985056487471973880137235656859000630826594387<187>

6444308708257283500121477176068405873401331152987912126839343275149171639992876359064356057086379765768562443128723450796827331019421822766050469928893772448851833432657482656407039<181>

9921402733402880612531499121983308499985473780292401721314410219209817055199934138827053308006580692240631305186019079970411492299919347774929574911331320171647961207768964455363167425291463177380772240761443683773159<217>

507470376094796496651210716125708397733127253992787223080886141164348274085522926326635754765584750128799587841318907779495105615662029881504379185986604842864502833590932509015971148892323544564657393096342091705306543019062339<228>

97463785235950686237954545479986575491845880757587<50>
5206758334557377332895579780165662355253353669513227380583611742576186419669041519530907889782595567649333073839695674042047608997767656374385290681376503260424762668708186857297<178>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3147281185
Step 1 took 140715ms
Step 2 took 45393ms
********** Factor found in step 2: 97463785235950686237954545479986575491845880757587
Found prime factor of 50 digits: 97463785235950686237954545479986575491845880757587
Prime cofactor 5206758334557377332895579780165662355253353669513227380583611742576186419669041519530907889782595567649333073839695674042047608997767656374385290681376503260424762668708186857297 has 178 digits

13573101832713242386661154747140691745900509852556152680170869505305222543750861237425933581369712002204767810389968306462725644205594598318864544577649166322171696293234118781865784759542510679344081576408984428827339120848835607<230>

75040385448548404241512687060332277296675454847987059274658522532587366289240024067569660941390292319280617358588421998455007535856169822235678362731248543491771764133537062488693516628347851114535646920421754588893<215>

12338513766403816861756823414375115405413064284450717346056230360963080887908240583181945006136914907666178040166424614504278481271756739564644505498092112909029332088492084811517<179>

3110476002193732506311525482171774032077640444271202642936486237675417753325620694238638204322154189446000665462594298740493944010945819<136>

82343207570865370885113044763096294777210708926174374111879<59>
37774530455554896808794210481687240581615954711195801261019366393115722342861<77>

Factors: 
37774530455554896808794210481687240581615954711195801261019366393115722342861 
82343207570865370885113044763096294777210708926174374111879

PID47181 2022-04-03 19:59:32,704 Info:root: Command line parameters: ./cado-nfs.py 3110476002193732506311525482171774032077640444271202642936486237675417753325620694238638204322154189446000665462594298740493944010945819 --workdir ./stdkmd

PID47181 2022-04-03 19:59:32,704 Debug:root: Root parameter dictionary:
N = 3110476002193732506311525482171774032077640444271202642936486237675417753325620694238638204322154189446000665462594298740493944010945819
name = c135
slaves.basepath = ./stdkmd/client
slaves.hostnames = localhost
slaves.nrclients = 32
slaves.scriptpath = /home/florian/Math/cado-nfs/build/Tyrant
tasks.A = 26
tasks.execpath = /home/florian/Math/cado-nfs/build/Tyrant
tasks.lim0 = 9000000
tasks.lim1 = 13000000
tasks.lpb0 = 30
tasks.lpb1 = 30
tasks.qmin = 500000
tasks.threads = 64
tasks.workdir = ./stdkmd
tasks.filter.required_excess = 0.05
tasks.filter.target_density = 120.0
tasks.filter.purge.keep = 175
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.cpubinding = /home/florian/Math/cado-nfs/parameters/misc/cpubinding.conf
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.interval = 2000
tasks.linalg.bwc.threads = 32
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 100000
tasks.polyselect.admax = 11e4
tasks.polyselect.admin = 1080
tasks.polyselect.adrange = 600
tasks.polyselect.degree = 5
tasks.polyselect.incr = 120
tasks.polyselect.nq = 15625
tasks.polyselect.nrkeep = 48
tasks.polyselect.ropteffort = 12
tasks.polyselect.threads = 2
tasks.sieve.adjust_strategy = 2
tasks.sieve.lambda0 = 1.82
tasks.sieve.lambda1 = 1.91
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 58
tasks.sieve.ncurves0 = 17
tasks.sieve.ncurves1 = 21
tasks.sieve.qrange = 10000
tasks.sieve.rels_wanted = 71000000
tasks.sieve.las.threads = 2
tasks.sqrt.threads = 8

poly.135:
n: 3110476002193732506311525482171774032077640444271202642936486237675417753325620694238638204322154189446000665462594298740493944010945819
skew: 132358.132
c0: 31048932413623423688660045602386
c1: 489457670684866972197675689
c2: -811647252368188877136
c3: 37658433557249941
c4: -503194902720
c5: -702000
Y0: -153098653483648202317912668
Y1: 132460024331668261973
# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=3.355e+13) = 2.317e-06
# f(x) = -702000*x^5-503194902720*x^4+37658433557249941*x^3-811647252368188877136*x^2+489457670684866972197675689*x+31048932413623423688660045602386
# g(x) = 132460024331668261973*x-153098653483648202317912668

PID55555 2022-04-03 22:24:31,523 Info:Square Root: finished
PID55555 2022-04-03 22:24:31,523 Info:Square Root: Factors: 37774530455554896808794210481687240581615954711195801261019366393115722342861 82343207570865370885113044763096294777210708926174374111879
PID55555 2022-04-03 22:24:31,523 Info:Square Root: Total cpu/real time for sqrt: 2494.48/90.7709
PID55555 2022-04-03 22:24:31,523 Info:HTTP server: Got notification to stop serving Workunits
PID55555 2022-04-03 22:24:31,523 Info:Filtering - Singleton removal: Total cpu/real time for purge: 248.45/83.0229
PID55555 2022-04-03 22:24:31,523 Info:Quadratic Characters: Total cpu/real time for characters: 64.24/10.1689
PID55555 2022-04-03 22:24:31,523 Info:Filtering - Merging: Total cpu/real time for merge: 213.5/16.9134
PID55555 2022-04-03 22:24:31,523 Info:Filtering - Merging: Total cpu/real time for replay: 37.85/31.2946
PID55555 2022-04-03 22:24:31,523 Info:Square Root: Total cpu/real time for sqrt: 2494.48/90.7709
PID55555 2022-04-03 22:24:31,523 Info:Lattice Sieving: Aggregate statistics:
PID55555 2022-04-03 22:24:31,523 Info:Lattice Sieving: Total number of relations: 71032100
PID55555 2022-04-03 22:24:31,523 Info:Lattice Sieving: , max bucket fill -bkmult 1.0,1s:1.080740
PID55555 2022-04-03 22:24:31,523 Info:Lattice Sieving: Total time: 187671s
PID55555 2022-04-03 22:24:31,523 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 412.78/198.11
PID55555 2022-04-03 22:24:31,524 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID55555 2022-04-03 22:24:31,524 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 198.0s
PID55555 2022-04-03 22:24:31,524 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID55555 2022-04-03 22:24:31,524 Info:Polynomial Selection (root optimized): Total time: 838.86
PID55555 2022-04-03 22:24:31,524 Info:Polynomial Selection (root optimized): Rootsieve time: 838.59
PID55555 2022-04-03 22:24:31,524 Info:Generate Free Relations: Total cpu/real time for freerel: 690.28/31.8406
PID55555 2022-04-03 22:24:31,524 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID55555 2022-04-03 22:24:31,524 Info:Polynomial Selection (size optimized): potential collisions: 53521.2
PID55555 2022-04-03 22:24:31,524 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 36658/42.240/49.434/56.560/1.417
PID55555 2022-04-03 22:24:31,524 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30344/39.950/43.511/49.330/0.999
PID55555 2022-04-03 22:24:31,524 Info:Polynomial Selection (size optimized): Total time: 8293.45
PID55555 2022-04-03 22:24:31,524 Info:Linear Algebra: Total cpu/real time for bwc: 29107.6/990.24
PID55555 2022-04-03 22:24:31,524 Info:Linear Algebra: Aggregate statistics:
PID55555 2022-04-03 22:24:31,524 Info:Linear Algebra: Krylov: CPU time 16072.25, WCT time 569.35, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (54000 iterations)
PID55555 2022-04-03 22:24:31,524 Info:Linear Algebra: Lingen CPU time 2806.14, WCT time 48.41
PID55555 2022-04-03 22:24:31,524 Info:Linear Algebra: Mksol: CPU time 8878.44,  WCT time 316.4, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (28000 iterations)
PID55555 2022-04-03 22:24:31,524 Info:Generate Factor Base: Total cpu/real time for makefb: 7.27/0.315114
PID55555 2022-04-03 22:24:31,524 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 992.16/273.549
PID55555 2022-04-03 22:24:31,524 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID55555 2022-04-03 22:24:31,524 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 209.2s
PID55555 2022-04-03 22:24:31,526 Info:HTTP server: Shutting down HTTP server
PID55555 2022-04-03 22:24:31,833 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 403201/8570.16

cado-nfs-3.0.0 main branch

Intel Xeon Platinum 8375c @ 2.9GHz, 32C/64T; Ubuntu 20.04.4 LTS

32833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<239>

20682329234041856117432555469685528933093<41>

1587506559913554776764494059937219536493650719954056689804898900962679829063958252557802995922073518381219898485020239880260742812814578798204275587470735132541250102847911502061013591852502181429681<199>

Resuming ECM residue saved by @99c943e3d1df with GMP-ECM 7.0.5-dev on Sat May 14 10:26:24 2022 
Input number is 32833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 (239 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2037576816
Step 1 took 0ms
Step 2 took 14522ms
********** Factor found in step 2: 20682329234041856117432555469685528933093
Found prime factor of 41 digits: 20682329234041856117432555469685528933093
Composite cofactor 1587506559913554776764494059937219536493650719954056689804898900962679829063958252557802995922073518381219898485020239880260742812814578798204275587470735132541250102847911502061013591852502181429681 has 199 digits

621992704010415348462948902551257362841801803018553432926351447966076301807385771123978267493452693451176735604033667116827708342377430645711136432527987106848024336375652153211103549<183>

106550223983787182173682533033095155587504185474047120951829041663282362919938769015453161677907350248369010154837782018446368792010214105702564708177618484886458995160818584918335183477570889318978251682210412077<213>

153458933683737685932708015084910932838581023177<48>
694324021587271705884399518047332631176269481430862771962602046274252307818245613859978910898757942438574394177759559563394881535928928466256470050762710788932645701<165>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3032175445
Step 1 took 144060ms
Step 2 took 45320ms
********** Factor found in step 2: 153458933683737685932708015084910932838581023177
Found prime factor of 48 digits: 153458933683737685932708015084910932838581023177
Prime cofactor 694324021587271705884399518047332631176269481430862771962602046274252307818245613859978910898757942438574394177759559563394881535928928466256470050762710788932645701 has 165 digits

6068298752989435881402378613359201335631669272902745246033975934354785774865073019418138716313952024424420827058547247226256772845541128174887190728960719763585785878837435905731277591917748974443039167096299<208>

1251470209281317771143412865204326478905611351127165460987616110304722781004466463068723720762481877786665621379358881510130563082928870359580145523600966833809822945905127765583600455849784061158909335523200278624980175947473<226>

70227222495526133795335771679535716068131100321547993355150115144126223629143227885554581167696903585509664263968800576077114481067168595241660071724452619796234109754097776256782095979580632971859203330980543138051747124961678038485943861<239>

15785836685566978947206414854823747589151319811871993005519526372203602843081617526640189157448938616492595801969955626110128084275637729335486394495625555667817440852756658258347138409463632832890656048733922213431575378809<224>

10347891924305538265296206567875289937951518708095633851452807257013375674595883303933764246867293906499390104704908062919805308352996954358022563026803561397719702816948313172803386796741243976292506855084444576113052347621513403881793666817<242>

3805063939835310351550414899815711<34>

2719505398049477363909349704214241840190871490313290561102127992569184766462439862899226846863553887826029664637824601449892718823603814118980368625210789707744631467689299320555878231188152259809012861204447<208>

GPU: factor 3805063939835310351550414899815711 found in Step 1 with curve 1 (-sigma 3:-1838782004)

Computing 1792 Step 1 took 345ms of CPU time / 265668ms of GPU time

Throughput: 6.745 curves per second (on average 148.25ms per Step 1)

********** Factor found in step 1: 3805063939835310351550414899815711

Found prime factor of 34 digits: 3805063939835310351550414899815711

Composite cofactor 2719505398049477363909349704214241840190871490313290561102127992569184766462439862899226846863553887826029664637824601449892718823603814118980368625210789707744631467689299320555878231188152259809012861204447 has 208 digits

Peak memory usage: 9406MB

3424266881240679135892992494624547214138080644970121161930825060445765363037474555241373372486988929193856374056648266299474675489145444997164325592807395811638958773006341297673575308157300757721<196>

1181072077785868752356812950527847638153114088881051754698889769870182224878868487580779983837739023341404768923983100563414909470006167814856962164140684634112030208315979536109484955018406244683974849674115341461189508433963124177344763<238>

9021699405529140402858116192092172851637641<43>

130914589890018238035320977855255340933984123748130467343934657976414488353932237221228744838986812744178240256906476885108439582973232559602435361765409819327790664116749106702401700176957478243<195>

GPU: factor 9021699405529140402858116192092172851637641 found in Step 1 with curve 597 (-sigma 3:-731409353)
Computing 1792 Step 1 took 1563ms of CPU time / 982986ms of GPU time
Throughput: 1.823 curves per second (on average 548.54ms per Step 1)
********** Factor found in step 1: 9021699405529140402858116192092172851637641
Found prime factor of 43 digits: 9021699405529140402858116192092172851637641
Composite cofactor 130914589890018238035320977855255340933984123748130467343934657976414488353932237221228744838986812744178240256906476885108439582973232559602435361765409819327790664116749106702401700176957478243 has 195 digits
Peak memory usage: 9430MB

6532417190523462397379975713121305646662480235667122306416974245490891943460218292602617692344418350469168457051961375447491849523670862865244826665773530310119111402392533781859208754390516987809136624779246778653278452833205987<229>

79110009929404369901796052918729030532479<41>

82573838586960291903057832755840020602511875459280460495340120630910109213553221307069567751429618474233282602302895106083767959219243576085602739255016997872247201515827525937336282167453<188>

Resuming ECM residue saved by @b172c2c7cefa with GMP-ECM 7.0.5-dev on Tue Apr  5 21:43:59 2022 
Input number is 6532417190523462397379975713121305646662480235667122306416974245490891943460218292602617692344418350469168457051961375447491849523670862865244826665773530310119111402392533781859208754390516987809136624779246778653278452833205987 (229 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3797825475
Step 1 took 0ms
Step 2 took 3809ms
********** Factor found in step 2: 79110009929404369901796052918729030532479
Found prime factor of 41 digits: 79110009929404369901796052918729030532479
Composite cofactor 82573838586960291903057832755840020602511875459280460495340120630910109213553221307069567751429618474233282602302895106083767959219243576085602739255016997872247201515827525937336282167453 has 188 digits

240978192441080262622916222350475636433269586083631815312109924118302975526516871272915050886892336862126896880340152380145155057886421369494656590832594857963622213456729114614942597021381816416251601753287548516261527099847<225>

126246105921995804273810387667714112692884832067<48>

1908797033232648300493052659642338617443678276743128548564504258761154225990314082481218181620522914926872642665177257503342746027218502256912973437407915672229003092030459095341<178>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3501010935
Step 1 took 224648ms
Step 2 took 56896ms
********** Factor found in step 2: 126246105921995804273810387667714112692884832067
Found probable prime factor of 48 digits: 126246105921995804273810387667714112692884832067
Composite cofactor 1908797033232648300493052659642338617443678276743128548564504258761154225990314082481218181620522914926872642665177257503342746027218502256912973437407915672229003092030459095341 has 178 digits

484060406807314472177583825993798129610245371940222225498434789446008835945293802552497211124052150751645068235317243853415697317273339328802331352862836446554325337736563023682102542177141537297222918417392757276877638374933042405657363861082034724577<252>

25980379424401863214777360602777514729930534176545009619028655576792407306188855941332682548158768018885349833909430349265004843900830679759622307712184310897481272502373111500970648431664143589441039695954947712976574293584350714429047<236>

621922364301070356170265725074944328319647789643404048936842028631954470837924588371212288387837504402468452167259585981420356650440301776430628692731123571825532883128469265262876133831555655071552420570143444404437262640725167285593069933616638227767<252>

990357003012516857320382946637826855389<39>
627977953817942604806299841137782874429707388472693811663576269048476401110426474997097476287643255428073701905009811795396055056324376876457918199203976632579274785259521150034724666778830680161765292105770554403<213>

Input number is 621922364301070356170265725074944328319647789643404048936842028631954470837924588371212288387837504402468452167259585981420356650440301776430628692731123571825532883128469265262876133831555655071552420570143444404437262640725167285593069933616638227767 (252 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3198945249
Step 1 took 0ms
Step 2 took 15887ms
********** Factor found in step 2: 990357003012516857320382946637826855389
Found prime factor of 39 digits: 990357003012516857320382946637826855389
Prime cofactor 627977953817942604806299841137782874429707388472693811663576269048476401110426474997097476287643255428073701905009811795396055056324376876457918199203976632579274785259521150034724666778830680161765292105770554403 has 213 digits

21668056292042845991378738219722515098490092165549136966918217348412401657361733207884585787502079270503839073245497134668992586075680665230423409670987741207600244282149797328849178919970501961693041079277<206>