164832127461638912899227698495082026227003786385048279390412986208650556275943645139077784003161747088260175818765753697596442806129794736865374476019011422439041737505938241<174>

347479145961149558011720337178214050174088981034071499401672505021808366442469184691<84>
474365524888415097017490948352542910633389487183308297930504592979975669209586027788309051<90>

164832127461638912899227698495082026227003786385048279390412986208650556275943645139077784003161747088260175818765753697596442806129794736865374476019011422439041737505938241=347479145961149558011720337178214050174088981034071499401672505021808366442469184691*474365524888415097017490948352542910633389487183308297930504592979975669209586027788309051

cado polynomial
n: 164832127461638912899227698495082026227003786385048279390412986208650556275943645139077784003161747088260175818765753697596442806129794736865374476019011422439041737505938241
skew: 0.24
type: snfs
c0: 1
c5: 1250
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 1250*x^5+1
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11600000
tasks.lim1 = 11600000
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.sqrt.threads = 2
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 347479145961149558011720337178214050174088981034071499401672505021808366442469184691 474365524888415097017490948352542910633389487183308297930504592979975669209586027788309051
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 12.16/2.85731
Info:Generate Free Relations: Total cpu/real time for freerel: 259.46/42.2147
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26969735
Info:Lattice Sieving: Average J: 1893.95 for 2194290 special-q, max bucket fill -bkmult 1.0,1s:1.127490
Info:Lattice Sieving: Total time: 674763s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 132.41/428.85
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 425.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1059.51/1376.5
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1194.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 896.22/1361.86
Info:Filtering - Merging: Total cpu/real time for merge: 2040.26/2068.06
Info:Filtering - Merging: Total cpu/real time for replay: 202.85/237.773
Info:Linear Algebra: Total cpu/real time for bwc: 210016/96623.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 77122.32, iteration CPU time 0.98, COMM 0.02, cpu-wait 0.14, comm-wait 0.0 (67072 iterations)
Info:Linear Algebra: Lingen CPU time 1365.37, WCT time 320.77
Info:Linear Algebra: Mksol: WCT time 18097.36, iteration CPU time 0.45, COMM 0.01, cpu-wait 0.07, comm-wait 0.0 (33792 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 165.83/59.3384
Info:Square Root: Total cpu/real time for sqrt: 1391.61/670.083
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.29858e+06/303720
Info:root: Cleaning up computation data in /tmp/cado.n7o_3esp
347479145961149558011720337178214050174088981034071499401672505021808366442469184691 474365524888415097017490948352542910633389487183308297930504592979975669209586027788309051

cado-nfs-3.0.0

Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

19546589176806039903928483172541501007183823169629710544326686694611898375281511104470473609828144611193476909437068403585716081578387652292436300008162488453681931<164>

120934195135912314695146134459261820081991992826434689172579114969<66>
161629960449470373992699437487433547702575611745722236109599082211180732378448794447968963947700099<99>

19546589176806039903928483172541501007183823169629710544326686694611898375281511104470473609828144611193476909437068403585716081578387652292436300008162488453681931=120934195135912314695146134459261820081991992826434689172579114969*161629960449470373992699437487433547702575611745722236109599082211180732378448794447968963947700099

cado polynomial
n: 19546589176806039903928483172541501007183823169629710544326686694611898375281511104470473609828144611193476909437068403585716081578387652292436300008162488453681931
skew: 0.96
type: snfs
c0: 4
c5: 5
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 5*x^5+4
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12800000
tasks.lim1 = 12800000
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.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log lost

cado-nfs-3.0.0

Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

4005406688295701096433694009437529113262912671902575342824399267420244649748914896299991831379815005846994616464498508881150428314695485366158676543265637848559864166101<169>

53924808009170938604897177642291590225375947221701<50>
74277625385601846821685251467717212846289126060566756025739377433059818940941363085688108328844338387687129753859464401<119>

#
# N = 10^203+8 = 10(202)8
#
n: 4005406688295701096433694009437529113262912671902575342824399267420244649748914896299991831379815005846994616464498508881150428314695485366158676543265637848559864166101
m: 10000000000000000000000000000000000000000
deg: 5
c5: 125
c0: 1
skew: 0.38
# Murphy_E = 1.528e-11
type: snfs
lss: 1
rlim: 16300000
alim: 16300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 4005406688295701096433694009437529113262912671902575342824399267420244649748914896299991831379815005846994616464498508881150428314695485366158676543265637848559864166101 (169 digits)
Using B1=44900000, B2=240492732496, polynomial Dickson(12), sigma=1:1315441581
Step 1 took 104677ms
Step 2 took 35502ms
********** Factor found in step 2: 53924808009170938604897177642291590225375947221701
Found prime factor of 50 digits: 53924808009170938604897177642291590225375947221701
Prime cofactor 74277625385601846821685251467717212846289126060566756025739377433059818940941363085688108328844338387687129753859464401 has 119 digits

525153285516401847150905346062044400191264763174116885619889670179939154330411530827615468567078715464836379207694526256385155112617996794254971398269655439436122106195854475812107<180>

107818587784250251464367241002855293997441208412565458649497974099100699528912499<81>
4870711964501489563947911773197881709381703571652898951598943461117949602880813736960599915386800393<100>

Tue Jun 27 17:22:16 2017  Msieve v. 1.53 (SVN unknown)
Tue Jun 27 17:22:16 2017  random seeds: d26737a0 2a22acf6
Tue Jun 27 17:22:16 2017  factoring 525153285516401847150905346062044400191264763174116885619889670179939154330411530827615468567078715464836379207694526256385155112617996794254971398269655439436122106195854475812107 (180 digits)
Tue Jun 27 17:22:17 2017  searching for 15-digit factors
Tue Jun 27 17:22:18 2017  commencing number field sieve (180-digit input)
Tue Jun 27 17:22:18 2017  R0: -100000000000000000000000000000000000000000
Tue Jun 27 17:22:18 2017  R1: 1
Tue Jun 27 17:22:18 2017  A0: 4
Tue Jun 27 17:22:18 2017  A1: 0
Tue Jun 27 17:22:18 2017  A2: 0
Tue Jun 27 17:22:18 2017  A3: 0
Tue Jun 27 17:22:18 2017  A4: 0
Tue Jun 27 17:22:18 2017  A5: 5
Tue Jun 27 17:22:18 2017  skew 0.96, size 4.691e-14, alpha 0.512, combined = 1.173e-11 rroots = 1
Tue Jun 27 17:22:18 2017  
Tue Jun 27 17:22:18 2017  commencing square root phase
Tue Jun 27 17:22:18 2017  reading relations for dependency 1
Tue Jun 27 17:22:18 2017  read 1888422 cycles
Tue Jun 27 17:22:21 2017  cycles contain 6500164 unique relations
Tue Jun 27 17:23:35 2017  read 6500164 relations
Tue Jun 27 17:24:05 2017  multiplying 6500164 relations
Tue Jun 27 17:27:04 2017  multiply complete, coefficients have about 169.83 million bits
Tue Jun 27 17:27:05 2017  initial square root is modulo 1243691
Tue Jun 27 17:30:46 2017  GCD is N, no factor found
Tue Jun 27 17:30:46 2017  reading relations for dependency 2
Tue Jun 27 17:30:46 2017  read 1889961 cycles
Tue Jun 27 17:30:49 2017  cycles contain 6505730 unique relations
Tue Jun 27 17:32:02 2017  read 6505730 relations
Tue Jun 27 17:32:31 2017  multiplying 6505730 relations
Tue Jun 27 17:35:28 2017  multiply complete, coefficients have about 169.98 million bits
Tue Jun 27 17:35:29 2017  initial square root is modulo 1259051
Tue Jun 27 17:39:10 2017  sqrtTime: 1012
Tue Jun 27 17:39:10 2017  p81 factor: 107818587784250251464367241002855293997441208412565458649497974099100699528912499
Tue Jun 27 17:39:10 2017  p100 factor: 4870711964501489563947911773197881709381703571652898951598943461117949602880813736960599915386800393
Tue Jun 27 17:39:10 2017  elapsed time 00:16:54
Tue Jun 27 17:39:10 2017 -> Computing 1.49855e+09 scale for this machine...
Tue Jun 27 17:39:10 2017 -> procrels -speedtest> PIPE
Tue Jun 27 17:39:12 2017 -> Factorization summary written to s206-1218.txt

1929333387491688277741138844578708026578515732233071528012089243231670802909934673558608752080273885678453530201083394269590157578073987426354445614015639629143884494560082920880271164898278003<193>

24973889951372606942687192641510627629722058027453791632243922929<65>
77254019748158971681715220917386670243253058306587750666814046345324311997404605359241029611853438760415480974098261442185657507<128>

Number: n
N=1929333387491688277741138844578708026578515732233071528012089243231670802909934673558608752080273885678453530201083394269590157578073987426354445614015639629143884494560082920880271164898278003
  ( 193 digits)
SNFS difficulty: 208 digits.
Divisors found:

Sat Jul 10 18:39:59 2021  p65 factor: 24973889951372606942687192641510627629722058027453791632243922929
Sat Jul 10 18:39:59 2021  p128 factor: 77254019748158971681715220917386670243253058306587750666814046345324311997404605359241029611853438760415480974098261442185657507
Sat Jul 10 18:39:59 2021  elapsed time 02:07:17 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 10^209+8 = 10(208)8
#
n: 1929333387491688277741138844578708026578515732233071528012089243231670802909934673558608752080273885678453530201083394269590157578073987426354445614015639629143884494560082920880271164898278003
m: 500000000000000000000000000000000000000000
deg: 5
c5: 2
c0: 5
skew: 1.20
# Murphy_E = 8.16e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 37700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8210660 hash collisions in 60671633 relations (54945810 unique)
Msieve: matrix is 2340397 x 2340622 (813.7 MB)

Sieving start time : 2021/07/10 04:49:43
Sieving end time  : 2021/07/10 16:31:24

Total sieving time: 11hrs 41min 41secs.

Total relation processing time: 1hrs 43min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 27sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117292] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved)
[    0.153499] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.03 BogoMIPS (lpj=12798064)
[    0.152047] smpboot: Total of 16 processors activated (102384.51 BogoMIPS)

103441010365534402839377986615472456435201210669930954200457232696445801978478706654026892501340641401457726084966318822486982982076373632579600481795399898665808276288002087086201583952266807539546097<201>

13455310261989754475339785004435673631141690835161489<53>
7687746202162838527392533206401776439252744830610919211685187267616505760420957379187625422550303894197427538203932151212606865373904450599204376673<148>

Input number is 103441010365534402839377986615472456435201210669930954200457232696445801978478706654026892501340641401457726084966318822486982982076373632579600481795399898665808276288002087086201583952266807539546097 (201 digits)
Using B1=100000000, B2=776268975310, polynomial Dickson(30), sigma=2:998755372268130751
Step 1 took 440017ms
Step 2 took 214486ms
********** Factor found in step 2: 13455310261989754475339785004435673631141690835161489
Found probable prime factor of 53 digits: 13455310261989754475339785004435673631141690835161489
Probable prime cofactor 7687746202162838527392533206401776439252744830610919211685187267616505760420957379187625422550303894197427538203932151212606865373904450599204376673 has 148 digits

83414774051617275751515480047918248446103258411955339782814763445688722275257272119098784067763637406721935392904705146621999080503291364214629241544355702897634136872009845589193073969809<188>

87446729264215705708721952949299179984011686514891499893114481677954921<71>
953892441186495508976785384882897837985728667812397200091935346705567178504800098826168114011213258813210134709585129<117>

Sat Mar 11 09:26:25 2017  Msieve v. 1.53 (SVN unknown)
Sat Mar 11 09:26:25 2017  random seeds: eab47b68 5e493410
Sat Mar 11 09:26:25 2017  factoring 83414774051617275751515480047918248446103258411955339782814763445688722275257272119098784067763637406721935392904705146621999080503291364214629241544355702897634136872009845589193073969809 (188 digits)
Sat Mar 11 09:26:27 2017  searching for 15-digit factors
Sat Mar 11 09:26:28 2017  commencing number field sieve (188-digit input)
Sat Mar 11 09:26:28 2017  R0: -500000000000000000000000000000000000
Sat Mar 11 09:26:28 2017  R1: 1
Sat Mar 11 09:26:28 2017  A0: 5
Sat Mar 11 09:26:28 2017  A1: 0
Sat Mar 11 09:26:28 2017  A2: 0
Sat Mar 11 09:26:28 2017  A3: 0
Sat Mar 11 09:26:28 2017  A4: 0
Sat Mar 11 09:26:28 2017  A5: 0
Sat Mar 11 09:26:28 2017  A6: 4
Sat Mar 11 09:26:28 2017  skew 1.00, size 1.249e-10, alpha 0.958, combined = 3.927e-12 rroots = 0
Sat Mar 11 09:26:28 2017  
Sat Mar 11 09:26:28 2017  commencing square root phase
Sat Mar 11 09:26:28 2017  reading relations for dependency 1
Sat Mar 11 09:26:30 2017  read 2204541 cycles
Sat Mar 11 09:26:34 2017  cycles contain 6732302 unique relations
Sat Mar 11 09:28:40 2017  read 6732302 relations
Sat Mar 11 09:29:31 2017  multiplying 6732302 relations
Sat Mar 11 09:37:26 2017  multiply complete, coefficients have about 174.87 million bits
Sat Mar 11 09:37:27 2017  initial square root is modulo 1886119
Sat Mar 11 09:46:55 2017  GCD is N, no factor found
Sat Mar 11 09:46:55 2017  reading relations for dependency 2
Sat Mar 11 09:46:56 2017  read 2203696 cycles
Sat Mar 11 09:47:01 2017  cycles contain 6728268 unique relations
Sat Mar 11 09:49:01 2017  read 6728268 relations
Sat Mar 11 09:49:51 2017  multiplying 6728268 relations
Sat Mar 11 09:58:10 2017  multiply complete, coefficients have about 174.77 million bits
Sat Mar 11 09:58:12 2017  initial square root is modulo 1870879
Sat Mar 11 10:07:11 2017  GCD is 1, no factor found
Sat Mar 11 10:07:11 2017  reading relations for dependency 3
Sat Mar 11 10:07:12 2017  read 2204426 cycles
Sat Mar 11 10:07:17 2017  cycles contain 6732292 unique relations
Sat Mar 11 10:09:12 2017  read 6732292 relations
Sat Mar 11 10:10:02 2017  multiplying 6732292 relations
Sat Mar 11 10:18:22 2017  multiply complete, coefficients have about 174.87 million bits
Sat Mar 11 10:18:24 2017  initial square root is modulo 1886119
Sat Mar 11 10:27:23 2017  sqrtTime: 3655
Sat Mar 11 10:27:23 2017  p71 factor: 87446729264215705708721952949299179984011686514891499893114481677954921
Sat Mar 11 10:27:23 2017  p117 factor: 953892441186495508976785384882897837985728667812397200091935346705567178504800098826168114011213258813210134709585129
Sat Mar 11 10:27:23 2017  elapsed time 01:00:58
Sat Mar 11 10:27:23 2017 -> Computing 1.4892e+09 scale for this machine...
Sat Mar 11 10:27:23 2017 -> procrels -speedtest> PIPE
Sat Mar 11 10:27:28 2017 -> Factorization summary written to s215-1056.txt

3653430836305706969911440457242047932580081700519107496013220018326661229689920409741988367003467351856263696546548700116354203657744368726706109<145>

5299636787629779587561900588238788987177104079641<49>
689373816113853881798727136391150100346101489152147785847949212676424843208714731056690558855749<96>

3653430836305706969911440457242047932580081700519107496013220018326661229689920409741988367003467351856263696546548700116354203657744368726706109=5299636787629779587561900588238788987177104079641*689373816113853881798727136391150100346101489152147785847949212676424843208714731056690558855749

cado polynomial
n: 3653430836305706969911440457242047932580081700519107496013220018326661229689920409741988367003467351856263696546548700116354203657744368726706109
skew: 158029.434
c0: -174914203618736077836957267162096
c1: 10179671094828921431497869246
c2: 84144623802838311291115
c3: -726226751030283287
c4: -208570091400
c5: 5758560
Y0: -6479456286834555598960115499
Y1: 13626007221764434159
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.718e-07
# f(x) = 5758560*x^5-208570091400*x^4-726226751030283287*x^3+84144623802838311291115*x^2+10179671094828921431497869246*x-174914203618736077836957267162096
# g(x) = 13626007221764434159*x-6479456286834555598960115499

cado log (extracts)
Info:Square Root: Factors: 689373816113853881798727136391150100346101489152147785847949212676424843208714731056690558855749 5299636787629779587561900588238788987177104079641
Info:Square Root: Total cpu/real time for sqrt: 3340.81/1157.95
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78952/43.630/52.098/56.680/0.910
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 64915/42.740/46.652/52.870/1.153
Info:Polynomial Selection (size optimized): Total time: 41806.3
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5341.52
Info:Polynomial Selection (root optimized): Rootsieve time: 5336.67
Info:Generate Factor Base: Total cpu/real time for makefb: 19.11/5.09535
Info:Generate Free Relations: Total cpu/real time for freerel: 446.36/112.89
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49189821
Info:Lattice Sieving: Average J: 3793.38 for 1200187 special-q, max bucket fill -bkmult 1.0,1s:1.085360
Info:Lattice Sieving: Total time: 1.68919e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 104.42/247.994
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 247.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 964.51/882.55
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 777.5999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 819.57/833.521
Info:Filtering - Merging: Total cpu/real time for merge: 505.66/147.504
Info:Filtering - Merging: Total cpu/real time for replay: 151.02/128.901
Info:Linear Algebra: Total cpu/real time for bwc: 230343/59248.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 37953.25, iteration CPU time 0.32, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (110592 iterations)
Info:Linear Algebra: Lingen CPU time 791.96, WCT time 227.8
Info:Linear Algebra: Mksol: WCT time 20603.24, iteration CPU time 0.35, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (55296 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 142.11/59.7038
Info:Square Root: Total cpu/real time for sqrt: 3340.81/1157.95
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.10992e+06/648.204
689373816113853881798727136391150100346101489152147785847949212676424843208714731056690558855749 5299636787629779587561900588238788987177104079641

cado-nfs-3.0.0

Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

16708135791982761288477905833346087545305481528460917016070278126317427440706421693569469663512908341843339774197102924913267617381484321080912221152466726114639969<164>

5687085420239495859278458658927948162432422657<46>
2937908358562890093123046575128172009493454100081377988312276605127667846845796708428452071552479835870206534000856417<118>

GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 16708135791982761288477905833346087545305481528460917016070278126317427440706421693569469663512908341843339774197102924913267617381484321080912221152466726114639969 (164 digits)
Run 497 out of 2100:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4162910188
Step 1 took 91248ms
Step 2 took 30968ms
********** Factor found in step 2: 5687085420239495859278458658927948162432422657
Found prime factor of 46 digits: 5687085420239495859278458658927948162432422657
Prime cofactor 2937908358562890093123046575128172009493454100081377988312276605127667846845796708428452071552479835870206534000856417 has 118 digits

GMP-ECM 7.0.4

Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

33639519322361680618397938873583142436096681184133313664953290300790407783226108321120330000017787580827493761157688611492917454195853655748058571766729794207154149545360589894979<179>

115037066706222506204411578658954114247401069619834904385823410963406157385901752826329243<90>
292423305683454764102291717699049695999062688890070529353250621586211622579074933520325753<90>

Number: 10008_220
N = 33639519322361680618397938873583142436096681184133313664953290300790407783226108321120330000017787580827493761157688611492917454195853655748058571766729794207154149545360589894979 (179 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=115037066706222506204411578658954114247401069619834904385823410963406157385901752826329243 (pp90)
r2=292423305683454764102291717699049695999062688890070529353250621586211622579074933520325753 (pp90)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 55.97 hours.
Factorization parameters were as follows:
n: 33639519322361680618397938873583142436096681184133313664953290300790407783226108321120330000017787580827493761157688611492917454195853655748058571766729794207154149545360589894979
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: 8
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 6712760 relations
Pruned matrix : 5918799 x 5919024
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 28.82 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 25.17 hours.
time per square root: 1.64 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 55.97 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

33219345004394773178963409154574871592149975382206436283174229811944304637509058948602043459040676500639861722058050890436703077380857895643947023818953357884342725853323851522400990931466952535872979365904837329<212>

2829990700972005002473576887511816335158003<43>

11738323024519149295607236063319852126933200302300375017605172541444654345410279388347944826301740883121938050983612193093028112341602646465820911818461349643455472614443<170>

GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 33219345004394773178963409154574871592149975382206436283174229811944304637509058948602043459040676500639861722058050890436703077380857895643947023818953357884342725853323851522400990931466952535872979365904837329 (212 digits)
Run 1196 out of 2100:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1132791932
Step 1 took 112169ms
Step 2 took 36005ms
********** Factor found in step 2: 2829990700972005002473576887511816335158003
Found prime factor of 43 digits: 2829990700972005002473576887511816335158003
Composite cofactor 11738323024519149295607236063319852126933200302300375017605172541444654345410279388347944826301740883121938050983612193093028112341602646465820911818461349643455472614443 has 170 digits

GMP-ECM 7.0.4

Linux Ubuntu 18.04 LTS [4.15.0-109-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)

11738323024519149295607236063319852126933200302300375017605172541444654345410279388347944826301740883121938050983612193093028112341602646465820911818461349643455472614443<170>

109424432851959787138587935745040342286232201039108480339592974799141<69>
107273327524575023721596951637050260979540222716058670246429576124248524814433186435983820765535166223<102>

Number: 10008_221
N = 11738323024519149295607236063319852126933200302300375017605172541444654345410279388347944826301740883121938050983612193093028112341602646465820911818461349643455472614443 (170 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=109424432851959787138587935745040342286232201039108480339592974799141 (pp69)
r2=107273327524575023721596951637050260979540222716058670246429576124248524814433186435983820765535166223 (pp102)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 69.66 hours.
Factorization parameters were as follows:
n: 11738323024519149295607236063319852126933200302300375017605172541444654345410279388347944826301740883121938050983612193093028112341602646465820911818461349643455472614443
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 5
c0: 4
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 7095444 relations
Pruned matrix : 6229191 x 6229415
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 32.09 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 37.00 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 69.66 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

269744559966279540520511236452056647910332216723932216910567849454502297558981566370810570360766612912645550727695152684658870003186731108234153707224117518632226458584178596113900952040347309735021<198>

41931216532368394705794598225228939430776043<44>
124534503619652320096116725926714405110729668455121<51>
51656566744658241103266644350439408050005899303893030380779981654433385365368054571752315214331882277207<104>

Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:94564148 2e7      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 269744559966279540520511236452056647910332216723932216910567849454502297558981566370810570360766612912645550727695152684658870003186731108234153707224117518632226458584178596113900952040347309735021 (198 digits)
Using B1=20000000, B2=70272304840, polynomial Dickson(12), sigma=1:94564148
Step 1 took 60907ms
Step 2 took 29984ms
********** Factor found in step 2: 41931216532368394705794598225228939430776043
Found probable prime factor of 44 digits: 41931216532368394705794598225228939430776043
Composite cofactor 6433024898241453392176870005529611163431396032721312233471580459906233236143902689518319209035125010011869944368071020440387150791733685867155671160727047 has 154 digits

Number: 1966
N=6433024898241453392176870005529611163431396032721312233471580459906233236143902689518319209035125010011869944368071020440387150791733685867155671160727047
  ( 154 digits)
SNFS difficulty: 222 digits.
Divisors found:
Version: Msieve v. 1.53 (SVN unknown)
Total time: 1285.05 hours.
Scaled time: 7549.66 units (timescale=5.875).
Factorization parameters were as follows:
n: 6433024898241453392176870005529611163431396032721312233471580459906233236143902689518319209035125010011869944368071020440387150791733685867155671160727047
m: 100000000000000000000000000000000000000000000
c5: 125
c0: 1
type: snfs
Factor base limits: 35200000/35200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved rational special-q in [17600000, 50500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 5988446 x 5988673
Total sieving time: 1219.82 hours.
Total relation processing time: 0.48 hours.
Matrix solve time: 64.38 hours.
Time per square root: 0.36 hours.
Prototype def-par.txt line would be:
snfs,222.000,5,0,0,0,0,0,0,0,0,35200000,35200000,29,29,58,58,2.6,2.6,100000
total time: 1285.05 hours.
 --------- CPU info (if available) ----------

Sat Aug 22 15:26:55 2020  Msieve v. 1.53 (SVN unknown)
Sat Aug 22 15:26:55 2020  random seeds: 6fc04a50 6f424320
Sat Aug 22 15:26:55 2020  factoring 6433024898241453392176870005529611163431396032721312233471580459906233236143902689518319209035125010011869944368071020440387150791733685867155671160727047 (154 digits)
Sat Aug 22 15:26:55 2020  searching for 15-digit factors
Sat Aug 22 15:26:55 2020  commencing number field sieve (154-digit input)
Sat Aug 22 15:26:55 2020  R0: -100000000000000000000000000000000000000000000
Sat Aug 22 15:26:55 2020  R1: 1
Sat Aug 22 15:26:55 2020  A0: 1
Sat Aug 22 15:26:55 2020  A1: 0
Sat Aug 22 15:26:55 2020  A2: 0
Sat Aug 22 15:26:55 2020  A3: 0
Sat Aug 22 15:26:55 2020  A4: 0
Sat Aug 22 15:26:55 2020  A5: 125
Sat Aug 22 15:26:55 2020  skew 0.38, size 3.218e-15, alpha 0.267, combined = 2.137e-12 rroots = 1
Sat Aug 22 15:26:55 2020  
Sat Aug 22 15:26:55 2020  commencing square root phase
Sat Aug 22 15:26:55 2020  reading relations for dependency 1
Sat Aug 22 15:26:56 2020  read 2994845 cycles
Sat Aug 22 15:27:00 2020  cycles contain 9166302 unique relations
Sat Aug 22 15:28:10 2020  read 9166302 relations
Sat Aug 22 15:28:50 2020  multiplying 9166302 relations
Sat Aug 22 15:32:49 2020  multiply complete, coefficients have about 282.44 million bits
Sat Aug 22 15:32:50 2020  initial square root is modulo 116981
Sat Aug 22 15:37:43 2020  GCD is N, no factor found
Sat Aug 22 15:37:43 2020  reading relations for dependency 2
Sat Aug 22 15:37:44 2020  read 2994908 cycles
Sat Aug 22 15:37:48 2020  cycles contain 9167914 unique relations
Sat Aug 22 15:38:59 2020  read 9167914 relations
Sat Aug 22 15:39:39 2020  multiplying 9167914 relations
Sat Aug 22 15:43:39 2020  multiply complete, coefficients have about 282.48 million bits
Sat Aug 22 15:43:40 2020  initial square root is modulo 117241
Sat Aug 22 15:48:35 2020  sqrtTime: 1300
Sat Aug 22 15:48:35 2020  p51 factor: 124534503619652320096116725926714405110729668455121
Sat Aug 22 15:48:35 2020  p104 factor: 51656566744658241103266644350439408050005899303893030380779981654433385365368054571752315214331882277207
Sat Aug 22 15:48:35 2020  elapsed time 00:21:40

3938978849201035997322632891398748768537491047414799908660125830590313756955684006058519370825258883081547696127703779239693204457605244736885621152395122164047712870696451379962620494321163091<193>

239317689444539617013863864393347336789056945449<48>
16459204743048757354893923875172902512691742639571653170473860480677376558989700735720751674821873089680637758928043173784466980072603918330898459<146>

GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 3938978849201035997322632891398748768537491047414799908660125830590313756955684006058519370825258883081547696127703779239693204457605244736885621152395122164047712870696451379962620494321163091 (193 digits)
Run 1033 out of 2100:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2126305693
Step 1 took 104183ms
Step 2 took 38188ms
********** Factor found in step 2: 239317689444539617013863864393347336789056945449
Found prime factor of 48 digits: 239317689444539617013863864393347336789056945449
Prime cofactor 16459204743048757354893923875172902512691742639571653170473860480677376558989700735720751674821873089680637758928043173784466980072603918330898459 has 146 digits

GMP-ECM 7.0.4

Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

26846115478901286783973754995978066131088328719125889062895246975605987814236602047658782266941238273413639729568596665628982318043787600875051163391575159954155433742743815625822460595177813797376806111289<206>

13727993759142041798031420636538776003330092857367235251<56>
1955574569009644423455561728666461815924602081183240271783448662794395251976612726871212936492515715106461348238575112369803177902900942250715516061539<151>

Number: 2154
N = 26846115478901286783973754995978066131088328719125889062895246975605987814236602047658782266941238273413639729568596665628982318043787600875051163391575159954155433742743815625822460595177813797376806111289 (206 digits)
SNFS difficulty: 226 digits.
Divisors found:
Version: Msieve v. 1.53 (SVN unknown)
Total time: 469.68 hours.
Factorization parameters were as follows:
n: 26846115478901286783973754995978066131088328719125889062895246975605987814236602047658782266941238273413639729568596665628982318043787600875051163391575159954155433742743815625822460595177813797376806111289
m: 1000000000000000000000000000000000000000000000
c5: 5
c0: 4
type: snfs

Factor base limits: 40900000/40900000
Large primes per side: 3
Large prime bits: 30/30
Sieved rational special-q in [0, 0)
Total raw relations: 83270992
Relations: 13345660 relations
Pruned matrix : 8045868 x 8046092
Polynomial selection time: 0.00 hours.
Total sieving time: 423.53 hours.
Total relation processing time: 0.82 hours.
Matrix solve time: 45.01 hours.
time per square root: 0.32 hours.
Prototype def-par.txt line would be: snfs,226,5,0,0,0,0,0,0,0,0,40900000,40900000,30,30,60,60,2.6,2.6,100000
total time: 469.68 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.19GHz

Fri May 21 08:41:50 2021  Msieve v. 1.53 (SVN unknown)
Fri May 21 08:41:50 2021  random seeds: 105ee200 12d0e143
Fri May 21 08:41:50 2021  factoring 26846115478901286783973754995978066131088328719125889062895246975605987814236602047658782266941238273413639729568596665628982318043787600875051163391575159954155433742743815625822460595177813797376806111289 (206 digits)
Fri May 21 08:41:51 2021  searching for 15-digit factors
Fri May 21 08:41:52 2021  commencing number field sieve (206-digit input)
Fri May 21 08:41:52 2021  R0: -1000000000000000000000000000000000000000000000
Fri May 21 08:41:52 2021  R1: 1
Fri May 21 08:41:52 2021  A0: 4
Fri May 21 08:41:52 2021  A1: 0
Fri May 21 08:41:52 2021  A2: 0
Fri May 21 08:41:52 2021  A3: 0
Fri May 21 08:41:52 2021  A4: 0
Fri May 21 08:41:52 2021  A5: 5
Fri May 21 08:41:52 2021  skew 0.96, size 2.177e-15, alpha 0.512, combined = 1.620e-12 rroots = 1
Fri May 21 08:41:52 2021  
Fri May 21 08:41:52 2021  commencing square root phase
Fri May 21 08:41:52 2021  reading relations for dependency 1
Fri May 21 08:41:54 2021  read 4022371 cycles
Fri May 21 08:42:00 2021  cycles contain 13345660 unique relations
Fri May 21 08:44:48 2021  read 13345660 relations
Fri May 21 08:45:53 2021  multiplying 13345660 relations
Fri May 21 08:52:44 2021  multiply complete, coefficients have about 359.13 million bits
Fri May 21 08:52:46 2021  initial square root is modulo 2779001
Fri May 21 09:01:08 2021  sqrtTime: 1156
Fri May 21 09:01:08 2021  p56 factor: 13727993759142041798031420636538776003330092857367235251
Fri May 21 09:01:08 2021  p151 factor: 1955574569009644423455561728666461815924602081183240271783448662794395251976612726871212936492515715106461348238575112369803177902900942250715516061539
Fri May 21 09:01:08 2021  elapsed time 00:19:18
Fri May 21 09:01:08 2021 -> Computing 1.62156e+09 scale for this machine...
Fri May 21 09:01:08 2021 -> procrels -speedtest> PIPE
Fri May 21 09:01:11 2021 -> Factorization summary written to s226-2154.txt

26451994144151589443120664386410955268456616768890583742915537528872578022065288768024726129996581271514338725754313010167583083064445709589292047403731779643700438454458246975096038787096539766340700781397369<209>

31995289685258580365677958092801714215344139396844883747<56>
826746511888561106108126925928730607250131555965524802708552440851410520575559006091361273715142217131588798246092204282423576719328969555840086956904627<153>

Number: 2131
N=26451994144151589443120664386410955268456616768890583742915537528872578022065288768024726129996581271514338725754313010167583083064445709589292047403731779643700438454458246975096038787096539766340700781397369
  ( 209 digits)
SNFS difficulty: 226 digits.
Divisors found:
Version: Msieve v. 1.53 (SVN unknown)
Total time: 1644.10 hours.
Scaled time: 11569.50 units (timescale=7.037).
Factorization parameters were as follows:
n: 26451994144151589443120664386410955268456616768890583742915537528872578022065288768024726129996581271514338725754313010167583083064445709589292047403731779643700438454458246975096038787096539766340700781397369
m: 1000000000000000000000000000000000000000000000
c5: 25
c0: 2
type: snfs
Factor base limits: 41500000/41500000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved rational special-q in [20750000, 59250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 8039916 x 8040143
Total sieving time: 1529.57 hours.
Total relation processing time: 0.83 hours.
Matrix solve time: 113.03 hours.
Time per square root: 0.66 hours.
Prototype def-par.txt line would be:
snfs,226.000,5,0,0,0,0,0,0,0,0,41500000,41500000,30,30,60,60,2.6,2.6,100000
total time: 1644.10 hours.
 --------- CPU info (if available) ----------

Tue May  4 11:05:47 2021  Msieve v. 1.53 (SVN unknown)
Tue May  4 11:05:47 2021  random seeds: 970270e8 a5b61597
Tue May  4 11:05:47 2021  factoring 26451994144151589443120664386410955268456616768890583742915537528872578022065288768024726129996581271514338725754313010167583083064445709589292047403731779643700438454458246975096038787096539766340700781397369 (209 digits)
Tue May  4 11:05:48 2021  searching for 15-digit factors
Tue May  4 11:05:48 2021  commencing number field sieve (209-digit input)
Tue May  4 11:05:48 2021  R0: -1000000000000000000000000000000000000000000000
Tue May  4 11:05:48 2021  R1: 1
Tue May  4 11:05:48 2021  A0: 2
Tue May  4 11:05:48 2021  A1: 0
Tue May  4 11:05:48 2021  A2: 0
Tue May  4 11:05:48 2021  A3: 0
Tue May  4 11:05:48 2021  A4: 0
Tue May  4 11:05:48 2021  A5: 25
Tue May  4 11:05:48 2021  skew 0.60, size 1.591e-15, alpha 0.764, combined = 1.352e-12 rroots = 1
Tue May  4 11:05:48 2021  
Tue May  4 11:05:48 2021  commencing square root phase
Tue May  4 11:05:48 2021  reading relations for dependency 1
Tue May  4 11:05:49 2021  read 4019610 cycles
Tue May  4 11:05:55 2021  cycles contain 12950066 unique relations
Tue May  4 11:07:30 2021  read 12950066 relations
Tue May  4 11:08:27 2021  multiplying 12950066 relations
Tue May  4 11:13:23 2021  multiply complete, coefficients have about 375.05 million bits
Tue May  4 11:13:25 2021  initial square root is modulo 5365231
Tue May  4 11:19:39 2021  GCD is 1, no factor found
Tue May  4 11:19:39 2021  reading relations for dependency 2
Tue May  4 11:19:40 2021  read 4020994 cycles
Tue May  4 11:19:45 2021  cycles contain 12950712 unique relations
Tue May  4 11:21:31 2021  read 12950712 relations
Tue May  4 11:22:27 2021  multiplying 12950712 relations
Tue May  4 11:26:43 2021  multiply complete, coefficients have about 375.07 million bits
Tue May  4 11:26:45 2021  initial square root is modulo 5370041
Tue May  4 11:32:12 2021  GCD is 1, no factor found
Tue May  4 11:32:12 2021  reading relations for dependency 3
Tue May  4 11:32:13 2021  read 4018282 cycles
Tue May  4 11:32:18 2021  cycles contain 12948408 unique relations
Tue May  4 11:33:53 2021  read 12948408 relations
Tue May  4 11:34:48 2021  multiplying 12948408 relations
Tue May  4 11:39:26 2021  multiply complete, coefficients have about 375.00 million bits
Tue May  4 11:39:28 2021  initial square root is modulo 5355421
Tue May  4 11:45:18 2021  sqrtTime: 2370
Tue May  4 11:45:18 2021  p56 factor: 31995289685258580365677958092801714215344139396844883747
Tue May  4 11:45:18 2021  p153 factor: 826746511888561106108126925928730607250131555965524802708552440851410520575559006091361273715142217131588798246092204282423576719328969555840086956904627
Tue May  4 11:45:18 2021  elapsed time 00:39:31

481437585812612410137347820223661292085835553238478877154143144809116010765896047559634132865471147396433388895671516400341000054378683437589491796955924196867486084322060673040261801041846857802331250254848745331113473<219>

8514721904090428184110567355695600046521575340826324766691981934438435424997894299482444577643828624968306532645378668715581594731706247977617295129922494210377617339048142267628137<181>

2088441221193829038302134797836184849080409145865637091336371668355338515657781969419308167540830386521888419109261789229368436479195008960252512404594121177201868640306239401620104550890643<190>

331014352702889752650981405917525046465808746315446138628863874266660872591436955284436263888137486308253329150371161097456107033411503034752826154201367894303568708106327000393218569862816794969153831717546353197663525923044777<228>

5649862433090504093209822355868040481099<40>
58588037606753405961103906078065067867399151079151915820668094052517130493522167996619693612860451360407694850574912843109749053226942189814774149788342304358733589558112344523105975570523<188>

GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 331014352702889752650981405917525046465808746315446138628863874266660872591436955284436263888137486308253329150371161097456107033411503034752826154201367894303568708106327000393218569862816794969153831717546353197663525923044777 (228 digits)
Run 65 out of 2100:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3350673060
Step 1 took 156296ms
Step 2 took 50508ms
********** Factor found in step 2: 5649862433090504093209822355868040481099
Found prime factor of 40 digits: 5649862433090504093209822355868040481099
Prime cofactor 58588037606753405961103906078065067867399151079151915820668094052517130493522167996619693612860451360407694850574912843109749053226942189814774149788342304358733589558112344523105975570523 has 188 digits

 GMP-ECM 7.0.4

Linux Ubuntu 18.04 LTS [4.15.0-109-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)

44746531021836180726233588699896952051305908909035735129235432185773977770533106802916893688803356792005016294764370050614390610880714516528636234643121842625858420573907236202261996542226381393170711398663104259177846450673<224>

2670182498073259849492768942548612838790080196611651739765740583730628876606744268422461903493526555651873576403038612571296922821255586952600658262233367357951580498255154417898464028352566316572934909341164174080586783<220>

400061864490373412692765696251797706723584093882479962241190160955198455016554716529029559990651881870794050739470673548043610659295892298349166073864857670800044993011636827247765458166144698633141837209<204>

1201490190729334141557843737285764603087<40>
332971394670751332890412769696586715890507801986211889993807289387694675491272224410501672653826568749253550541649006198800990655406251706811096654784782077646358807<165>

GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 400061864490373412692765696251797706723584093882479962241190160955198455016554716529029559990651881870794050739470673548043610659295892298349166073864857670800044993011636827247765458166144698633141837209 (204 digits)
Run 80 out of 2100:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1832409254
Step 1 took 57917ms
Step 2 took 20950ms
********** Factor found in step 2: 1201490190729334141557843737285764603087
Found prime factor of 40 digits: 1201490190729334141557843737285764603087
Prime cofactor 332971394670751332890412769696586715890507801986211889993807289387694675491272224410501672653826568749253550541649006198800990655406251706811096654784782077646358807 has 165 digits

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

8158739153235278055267798111888475778554309126462647553757335876917714697115674658127237123601771750474654573660641195848889562085797636052429977493091800327658450091758764261985321172225351971183252872081<205>

346356331393737877528401219174286505957328899972291493488500969797727902466057079523413688002216680520919922416181767802715433638126904959822665558326406206705458575782765308949847603214186755333887503463563313937378775284012191742865059573289<243>

124464837925478604418352707149820884678791160693901661210332256809924277293613990471080633402941209422854668125697810020280165018782706683669508967006213854002907515076607517153950605108232631071066408791336184768527770979<222>

18835612264378925184217695295102698016684351784459<50>
4584119508880790988042876493634985040916187651279210930123089898784116762625568113<82>
1441487912092768533816708953376791165115328908666798350928857208892329027832140426575891737<91>

Number: 2179
N = 124464837925478604418352707149820884678791160693901661210332256809924277293613990471080633402941209422854668125697810020280165018782706683669508967006213854002907515076607517153950605108232631071066408791336184768527770979 (222 digits)
SNFS difficulty: 250 digits.
Divisors found:
Version: Msieve v. 1.53 (SVN unknown)
Total time: 636.60 hours.
Factorization parameters were as follows:
n: 124464837925478604418352707149820884678791160693901661210332256809924277293613990471080633402941209422854668125697810020280165018782706683669508967006213854002907515076607517153950605108232631071066408791336184768527770979
m: 100000000000000000000000000000000000000000
c6: 1250
c0: 1
type: snfs
Factor base limits: 102700000/102700000
Large primes per side: 3
Large prime bits: 31/31
Sieved rational special-q in [0, 0)
Total raw relations: 161855338
Relations: 27850570 relations
Pruned matrix : 17369497 x 17369722
Polynomial selection time: 0.00 hours.
Total sieving time: 545.51 hours.
Total relation processing time: 1.07 hours.
Matrix solve time: 87.60 hours.
time per square root: 2.42 hours.
Prototype def-par.txt line would be: snfs,250,6,0,0,0,0,0,0,0,0,102700000,102700000,31,31,62,62,2.6,2.6,100000
total time: 636.60 hours.
Intel64 Family 6 Model 158 Stepping 12, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 16, speed: 3.60GHz

Mon Sep 13 04:02:12 2021  Msieve v. 1.53 (SVN unknown)
Mon Sep 13 04:02:12 2021  random seeds: bb4cb930 9e03fa9f
Mon Sep 13 04:02:12 2021  factoring 124464837925478604418352707149820884678791160693901661210332256809924277293613990471080633402941209422854668125697810020280165018782706683669508967006213854002907515076607517153950605108232631071066408791336184768527770979 (222 digits)
Mon Sep 13 04:02:13 2021  searching for 15-digit factors
Mon Sep 13 04:02:13 2021  commencing number field sieve (222-digit input)
Mon Sep 13 04:02:13 2021  R0: -100000000000000000000000000000000000000000
Mon Sep 13 04:02:13 2021  R1: 1
Mon Sep 13 04:02:13 2021  A0: 1
Mon Sep 13 04:02:13 2021  A1: 0
Mon Sep 13 04:02:13 2021  A2: 0
Mon Sep 13 04:02:13 2021  A3: 0
Mon Sep 13 04:02:13 2021  A4: 0
Mon Sep 13 04:02:13 2021  A5: 0
Mon Sep 13 04:02:13 2021  A6: 1250
Mon Sep 13 04:02:13 2021  skew 0.30, size 2.325e-12, alpha 0.015, combined = 2.210e-13 rroots = 0
Mon Sep 13 04:02:13 2021  
Mon Sep 13 04:02:13 2021  commencing linear algebra
Mon Sep 13 04:02:15 2021  read 17374712 cycles
Mon Sep 13 04:02:34 2021  cycles contain 55701826 unique relations
Mon Sep 13 04:08:18 2021  read 55701826 relations
Mon Sep 13 04:09:25 2021  using 20 quadratic characters above 4294917295
Mon Sep 13 04:12:08 2021  building initial matrix
Mon Sep 13 04:18:03 2021  memory use: 6987.7 MB
Mon Sep 13 04:18:39 2021  read 17374712 cycles
Mon Sep 13 04:18:42 2021  matrix is 17374535 x 17374712 (5254.7 MB) with weight 1520738728 (87.53/col)
Mon Sep 13 04:18:42 2021  sparse part has weight 1186359797 (68.28/col)
Mon Sep 13 04:20:16 2021  filtering completed in 2 passes
Mon Sep 13 04:20:20 2021  matrix is 17369545 x 17369722 (5254.3 MB) with weight 1520592254 (87.54/col)
Mon Sep 13 04:20:20 2021  sparse part has weight 1186324377 (68.30/col)
Mon Sep 13 04:21:13 2021  matrix starts at (0, 0)
Mon Sep 13 04:21:17 2021  matrix is 17369545 x 17369722 (5254.3 MB) with weight 1520592254 (87.54/col)
Mon Sep 13 04:21:17 2021  sparse part has weight 1186324377 (68.30/col)
Mon Sep 13 04:21:17 2021  saving the first 48 matrix rows for later
Mon Sep 13 04:21:20 2021  matrix includes 64 packed rows
Mon Sep 13 04:21:22 2021  matrix is 17369497 x 17369722 (5022.5 MB) with weight 1223645890 (70.45/col)
Mon Sep 13 04:21:22 2021  sparse part has weight 1142922918 (65.80/col)
Mon Sep 13 04:21:22 2021  using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
Mon Sep 13 04:22:13 2021  commencing Lanczos iteration (8 threads)
Mon Sep 13 04:22:13 2021  memory use: 4238.2 MB
Mon Sep 13 04:22:44 2021  linear algebra at 0.0%, ETA 91h48m
Mon Sep 13 04:22:53 2021  checkpointing every 200000 dimensions
Thu Sep 16 19:37:54 2021  lanczos halted after 274680 iterations (dim = 17369493)
Thu Sep 16 19:38:05 2021  recovered 36 nontrivial dependencies
Thu Sep 16 19:38:11 2021  BLanczosTime: 315358
Thu Sep 16 19:38:11 2021  elapsed time 87:35:59
Thu Sep 16 19:38:11 2021 -> Running square root step ...
Thu Sep 16 19:38:11 2021  
Thu Sep 16 19:38:11 2021  
Thu Sep 16 19:38:11 2021  Msieve v. 1.53 (SVN unknown)
Thu Sep 16 19:38:11 2021  random seeds: a7a8dc60 a526095e
Thu Sep 16 19:38:11 2021  factoring 124464837925478604418352707149820884678791160693901661210332256809924277293613990471080633402941209422854668125697810020280165018782706683669508967006213854002907515076607517153950605108232631071066408791336184768527770979 (222 digits)
Thu Sep 16 19:38:12 2021  searching for 15-digit factors
Thu Sep 16 19:38:12 2021  commencing number field sieve (222-digit input)
Thu Sep 16 19:38:12 2021  R0: -100000000000000000000000000000000000000000
Thu Sep 16 19:38:12 2021  R1: 1
Thu Sep 16 19:38:12 2021  A0: 1
Thu Sep 16 19:38:12 2021  A1: 0
Thu Sep 16 19:38:12 2021  A2: 0
Thu Sep 16 19:38:12 2021  A3: 0
Thu Sep 16 19:38:12 2021  A4: 0
Thu Sep 16 19:38:12 2021  A5: 0
Thu Sep 16 19:38:12 2021  A6: 1250
Thu Sep 16 19:38:12 2021  skew 0.30, size 2.325e-12, alpha 0.015, combined = 2.210e-13 rroots = 0
Thu Sep 16 19:38:12 2021  
Thu Sep 16 19:38:12 2021  commencing square root phase
Thu Sep 16 19:38:12 2021  reading relations for dependency 1
Thu Sep 16 19:38:14 2021  read 8681968 cycles
Thu Sep 16 19:38:23 2021  cycles contain 27847242 unique relations
Thu Sep 16 19:41:32 2021  read 27847242 relations
Thu Sep 16 19:43:16 2021  multiplying 27847242 relations
Thu Sep 16 19:57:47 2021  multiply complete, coefficients have about 985.42 million bits
Thu Sep 16 19:57:51 2021  initial square root is modulo 692910151
Thu Sep 16 20:14:38 2021  found factor: 4584119508880790988042876493634985040916187651279210930123089898784116762625568113
Thu Sep 16 20:14:38 2021  reading relations for dependency 2
Thu Sep 16 20:14:43 2021  read 8683739 cycles
Thu Sep 16 20:14:52 2021  cycles contain 27842842 unique relations
Thu Sep 16 20:17:55 2021  read 27842842 relations
Thu Sep 16 20:19:42 2021  multiplying 27842842 relations
Thu Sep 16 20:34:14 2021  multiply complete, coefficients have about 985.27 million bits
Thu Sep 16 20:34:18 2021  initial square root is modulo 690705343
Thu Sep 16 20:51:10 2021  GCD is N, no factor found
Thu Sep 16 20:51:10 2021  reading relations for dependency 3
Thu Sep 16 20:51:16 2021  read 8683056 cycles
Thu Sep 16 20:51:25 2021  cycles contain 27845476 unique relations
Thu Sep 16 20:54:25 2021  read 27845476 relations
Thu Sep 16 20:56:09 2021  multiplying 27845476 relations
Thu Sep 16 21:10:45 2021  multiply complete, coefficients have about 985.35 million bits
Thu Sep 16 21:10:49 2021  initial square root is modulo 691938391
Thu Sep 16 21:27:26 2021  found factor: 4584119508880790988042876493634985040916187651279210930123089898784116762625568113
Thu Sep 16 21:27:26 2021  reading relations for dependency 4
Thu Sep 16 21:27:31 2021  read 8685750 cycles
Thu Sep 16 21:27:40 2021  cycles contain 27850570 unique relations
Thu Sep 16 21:30:41 2021  read 27850570 relations
Thu Sep 16 21:32:24 2021  multiplying 27850570 relations
Thu Sep 16 21:46:52 2021  multiply complete, coefficients have about 985.53 million bits
Thu Sep 16 21:46:56 2021  initial square root is modulo 694550959
Thu Sep 16 22:03:36 2021  sqrtTime: 8724
Thu Sep 16 22:03:36 2021  p50 factor: 18835612264378925184217695295102698016684351784459
Thu Sep 16 22:03:36 2021  p82 factor: 4584119508880790988042876493634985040916187651279210930123089898784116762625568113
Thu Sep 16 22:03:36 2021  p91 factor: 1441487912092768533816708953376791165115328908666798350928857208892329027832140426575891737
Thu Sep 16 22:03:36 2021  elapsed time 02:25:25
Thu Sep 16 22:03:36 2021 -> Computing 1.6318e+09 scale for this machine...
Thu Sep 16 22:03:36 2021 -> procrels -speedtest> PIPE
Thu Sep 16 22:03:38 2021 -> Factorization summary written to s250-2179.txt

45654486621259268238420902576579247586296806607017279681096184912905220799379313548453883340104808984778757509555254677856168809060759739525927294298794762701766091444689392913301121988478393855007232382686063<209>

5368756236734370129154100370763588251927871442069670952455555294823013267864507593760633305628565892317548163524352907547493558850959107442354357049152022248033608462394994292747477208827840015179384141817883111307<214>

11654613758594944110908743418287822293653409243846599136375995894606319983642849116372658233279781257481<104>
460655011649362129192639845594590504112176335686167711510014378545225132912301658764733453816541106557734933747<111>

Mon May 16 23:15:42 2022  Msieve v. 1.53 (SVN unknown)
Mon May 16 23:15:42 2022  random seeds: bda75aa8 3b75943a
Mon May 16 23:15:42 2022  factoring 5368756236734370129154100370763588251927871442069670952455555294823013267864507593760633305628565892317548163524352907547493558850959107442354357049152022248033608462394994292747477208827840015179384141817883111307 (214 digits)
Mon May 16 23:15:43 2022  searching for 15-digit factors
Mon May 16 23:15:44 2022  commencing number field sieve (214-digit input)
Mon May 16 23:15:44 2022  R0: -1000000000000000000000000000000000000000000
Mon May 16 23:15:44 2022  R1: 1
Mon May 16 23:15:44 2022  A0: 4
Mon May 16 23:15:44 2022  A1: 0
Mon May 16 23:15:44 2022  A2: 0
Mon May 16 23:15:45 2022  A3: 0
Mon May 16 23:15:45 2022  A4: 0
Mon May 16 23:15:45 2022  A5: 0
Mon May 16 23:15:45 2022  A6: 5
Mon May 16 23:15:45 2022  skew 0.96, size 1.958e-12, alpha 0.958, combined = 1.916e-13 rroots = 0
Mon May 16 23:15:45 2022  
Mon May 16 23:15:45 2022  commencing square root phase
Mon May 16 23:15:45 2022  reading relations for dependency 1
Mon May 16 23:15:51 2022  read 9185044 cycles
Mon May 16 23:16:05 2022  cycles contain 28826210 unique relations
Mon May 16 23:21:27 2022  read 28826210 relations
Mon May 16 23:24:16 2022  multiplying 28826210 relations
Mon May 16 23:43:39 2022  multiply complete, coefficients have about 816.63 million bits
Mon May 16 23:43:44 2022  initial square root is modulo 21201133
Tue May 17 00:06:29 2022  sqrtTime: 3044
Tue May 17 00:06:29 2022  p104 factor: 11654613758594944110908743418287822293653409243846599136375995894606319983642849116372658233279781257481
Tue May 17 00:06:29 2022  p111 factor: 460655011649362129192639845594590504112176335686167711510014378545225132912301658764733453816541106557734933747
Tue May 17 00:06:29 2022  elapsed time 00:50:47

73817423137914168468831300251843889145678899342406381775894038523158775702118443832524935330164697927430535087600486215073831688469973868322633<143>

870829331279877483383287131924786418299689602554994312067<57>
84766808473737372815671255614660406397908451106140988831983904732763528612104573484099<86>

73817423137914168468831300251843889145678899342406381775894038523158775702118443832524935330164697927430535087600486215073831688469973868322633=870829331279877483383287131924786418299689602554994312067*84766808473737372815671255614660406397908451106140988831983904732763528612104573484099=870829331279877483383287131924786418299689602554994312067*84766808473737372815671255614660406397908451106140988831983904732763528612104573484099

n: 73817423137914168468831300251843889145678899342406381775894038523158775702118443832524935330164697927430535087600486215073831688469973868322633
skew: 116537.433
c0: -8785385705098893488220494327262
c1: 398296305937457674400155428
c2: 9893374647462966015898
c3: -59345499141996347
c4: -136793865780
c5: 1072500
Y0: -3765719638085021618319628175
Y1: 5818267203650419931
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 2.041e-07
# f(x) = 1072500*x^5-136793865780*x^4-59345499141996347*x^3+9893374647462966015898*x^2+398296305937457674400155428*x-8785385705098893488220494327262
# g(x) = 5818267203650419931*x-3765719638085021618319628175

Info:Square Root: Factors: 84766808473737372815671255614660406397908451106140988831983904732763528612104573484099 870829331279877483383287131924786418299689602554994312067
Info:Square Root: Total cpu/real time for sqrt: 3138.97/1349.11
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78388/42.240/51.474/57.720/0.915
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 64566/42.040/45.969/52.170/1.058
Info:Polynomial Selection (size optimized): Total time: 42258.3
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5242
Info:Polynomial Selection (root optimized): Rootsieve time: 5237.16
Info:Generate Factor Base: Total cpu/real time for makefb: 18.12/4.82709
Info:Generate Free Relations: Total cpu/real time for freerel: 469.01/118.192
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 47157661
Info:Lattice Sieving: Average J: 3781.87 for 931207 special-q, max bucket fill -bkmult 1.0,1s:1.079420
Info:Lattice Sieving: Total time: 1.45889e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 97.09/225.217
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 224.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 873.78/790.174
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 701.6999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 709.61/729.818
Info:Filtering - Merging: Total cpu/real time for merge: 471.56/137.549
Info:Filtering - Merging: Total cpu/real time for replay: 143.28/123.658
Info:Linear Algebra: Total cpu/real time for bwc: 203619/52180.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 33288.67, iteration CPU time 0.3, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (104448 iterations)
Info:Linear Algebra: Lingen CPU time 704.78, WCT time 202.85
Info:Linear Algebra: Mksol: WCT time 18253.89, iteration CPU time 0.33, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (52224 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 137.3/55.9143
Info:Square Root: Total cpu/real time for sqrt: 3138.97/1349.11
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.70929e+06/620.212
84766808473737372815671255614660406397908451106140988831983904732763528612104573484099 870829331279877483383287131924786418299689602554994312067

cado-nfs-3.0.0

Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

734143690767903834719393769942748022297635002574608848538107629482632482798772357759440034354422935247101070301259159939214831012853868860896857959067412210671836286702884758818628084482291050278242421676971986082694741779819241<228>

9046237449691060533316893891732373380068592426344664767665015516403360367720947722567223576620807909135524787490729783111658346273441318205693986419267817126128719860452464995424755722380421141227802340254536129656601372679297879424177510732861<244>

86427435525133098250708704971306091405655811380764709949526377653322270621586116296757242619097006153633409389476595450459793956993708082693770310447348406278088916545668256931480329115674479706838138698748530733596072737329737952015487796446103851206527<254>

2190521540613278030408701062547764206237814775089189186984263252551117293972094650875962247209901838801667567449520012681350353538916524341964100936174973171635110230730311179043612233585298738076514371550023702079713854145969695791360008823343491<247>

969138333321645947577787611443178358654727191553721696864250967091810299483627753150851357492034439733171264517167011545927628658906480156153016465875476037470054214028996816455780948369488589816490790037171614395469499870547847589596469850264348971<249>

619991454313266506937431938932521<33>

1563147889506173851882754671868841003311049627495050562346509045214512917854011941982285108534036750398731509827065105070826738268909288470792373006305093456495663890099189559228277519904767538233942308090476851942451<217>

Run 351 out of 587:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:302448204
Step 1 took 24857ms
Step 2 took 9760ms
********** Factor found in step 2: 619991454313266506937431938932521
Found prime factor of 33 digits: 619991454313266506937431938932521
Composite cofactor 1563147889506173851882754671868841003311049627495050562346509045214512917854011941982285108534036750398731509827065105070826738268909288470792373006305093456495663890099189559228277519904767538233942308090476851942451 has 217 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

788009085381639863763769547040532370061949498153167377270880405804657236703153132682806869222964735445457536032123617781710460047792171053709616850332892893621666412432871468158960700289225244073789178320023976506582072517063102721711703601777775478052063<255>

692490300204847250014820135377923724337916541<45>

1137935195841063720604681182026992121978540119293530603324816625672210555948527336159357857762038743533761680089201730150805846536378140218020935689888002905260923166735081705378436330547981738310397438286888843<211>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 788009085381639863763769547040532370061949498153167377270880405804657236703153132682806869222964735445457536032123617781710460047792171053709616850332892893621666412432871468158960700289225244073789178320023976506582072517063102721711703601777775478052063 (255 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1549131115
Step 1 took 49230ms
Step 2 took 17420ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2796688314
Step 1 took 49086ms
Step 2 took 17648ms
Run 3 out of 0:
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:959602692
Step 1 took 48983ms
Step 2 took 17579ms
Run 27 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2995358880
Step 1 took 52579ms
Step 2 took 17785ms
** Factor found in step 2: 692490300204847250014820135377923724337916541
Found prime factor of 45 digits: 692490300204847250014820135377923724337916541
Composite cofactor 1137935195841063720604681182026992121978540119293530603324816625672210555948527336159357857762038743533761680089201730150805846536378140218020935689888002905260923166735081705378436330547981738310397438286888843 has 211 digits

2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

41426578810242079372168881295296468750618864042058287048822965979825891719325938702888401497694729615765358567870116692280834904311537828534677446084607018992324297126386423783572889011008477669481977236434581369<212>

33202738246137989689239205979701104341770720188763811797749849555999906583175964210492760852461200508577051741154117567878139768169023974067348039132919740659219585366196642413593683857046472037205339<200>

113813803226916528581168943796281370740947<42>

291728571620965472255301082975792716051442860123882701008910880691451786015652212033415750801285807662401320721646551691966680118037697760658170722535429454937<159>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 33202738246137989689239205979701104341770720188763811797749849555999906583175964210492760852461200508577051741154117567878139768169023974067348039132919740659219585366196642413593683857046472037205339 (200 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2171337588
Step 1 took 35426ms
Step 2 took 14011ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2123755288
Step 1 took 33933ms
Step 2 took 12958ms
Run 3 out of 0:
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1847708793
Step 1 took 33498ms
Step 2 took 12986ms
Run 22 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:28736815
Step 1 took 32748ms
Step 2 took 13024ms
** Factor found in step 2: 113813803226916528581168943796281370740947
Found prime factor of 42 digits: 113813803226916528581168943796281370740947
Composite cofactor 291728571620965472255301082975792716051442860123882701008910880691451786015652212033415750801285807662401320721646551691966680118037697760658170722535429454937 has 159 digits

2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

6347356954064804307384597716910617306904282213591085304938686967749118530088355829119043561781977634057971743482118679728022452071855791345627236316667156359025345690005270187997863025709143<190>

692147704236485451436263996669822685087639861044668274301076472222674497437242902011935558064460703264654608848762640599339009197380930114599093520671499886304748971423242162219267653073603984313592361<201>

20423393695336301848634639886811260832418827833937202483198751104926240246557980257371662660033659202360168457529177623846040960614580225697272227434259199325112631845688883069341859201483771907346384649634100785052167925392739<227>

9169224443749773513204206707504963<34>
2227385077181523575238502409091420933715304739062809794970047831785149560286845228057876850819172339868157311775457458408879850536429952033111233703580109572865703113698443816938436992941401953<193>

GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 20423393695336301848634639886811260832418827833937202483198751104926240246557980257371662660033659202360168457529177623846040960614580225697272227434259199325112631845688883069341859201483771907346384649634100785052167925392739 (227 digits)
Run 246 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3999716353
Step 1 took 3282ms
Step 2 took 1741ms
********** Factor found in step 2: 9169224443749773513204206707504963
Found prime factor of 34 digits: 9169224443749773513204206707504963
Prime cofactor 2227385077181523575238502409091420933715304739062809794970047831785149560286845228057876850819172339868157311775457458408879850536429952033111233703580109572865703113698443816938436992941401953 has 193 digits

GMP-ECM 7.0.4

Linux Ubuntu 18.04 LTS [4.15.0-109-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)

29831960385933967235471208104764330646763455520933246689775313557715865611632055804120765627263511020774878671298895754811760288544099297806877532104513397401116729946200918479116186387598803821515259388218844245197885301348890308526129516025906036748033<254>

121799599244421579225923639683799487139<39>

244926589011747268189291697258618647674289784700056845481639554232933511752563301923602366113849050510969568235722854633849726006197020821751163414879196139285522199913031194656964363319626607198057650441262583297547<216>

Resuming ECM residue saved by @447ca5b96bb7 with GMP-ECM 7.0.5-dev on Fri Aug 18 00:09:39 2023 
Input number is 29831960385933967235471208104764330646763455520933246689775313557715865611632055804120765627263511020774878671298895754811760288544099297806877532104513397401116729946200918479116186387598803821515259388218844245197885301348890308526129516025906036748033 (254 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3268557657
Step 1 took 0ms
Step 2 took 6722ms
********** Factor found in step 2: 121799599244421579225923639683799487139
Found prime factor of 39 digits: 121799599244421579225923639683799487139
Composite cofactor 244926589011747268189291697258618647674289784700056845481639554232933511752563301923602366113849050510969568235722854633849726006197020821751163414879196139285522199913031194656964363319626607198057650441262583297547 has 216 digits

61054604586129811281731378466489347488096098267395850112665038716458718835159420386268256749343539670397840546502598584100737206021040989506994471671623250419861525909989208818435978065923274593089010487193129971777191546117646860001005300697273379020640476185277827<266>

160184772855333897846512781468175368579876005458792246382756006909248533826679377490652655896567200008640321483358413502111019886647369039045284447851443733692839595016814907360607097006845761987375129262644262429288725423<222>

1335772476772441895791754028277381956327070545769991296896772422859204957627425596866148891297384601788140185845174142411745156763527873939145545762707016885997064226717400217629339746788012393883482804873507120119965814802850027632942733847450099153<250>

7387795771429371817083664765833911799698011<43>

180807986319578519675686660068304351526941267149734281913492652359303621089389699225423172264738682598860438528636166959308951151623614314554425906388385684303401238181734290307521927436740931018942708985923<207>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 1335772476772441895791754028277381956327070545769991296896772422859204957627425596866148891297384601788140185845174142411745156763527873939145545762707016885997064226717400217629339746788012393883482804873507120119965814802850027632942733847450099153 (250 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:765330340
Step 1 took 47599ms
Step 2 took 16983ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2702142393
Step 1 took 51335ms
Step 2 took 17872ms
Run 3 out of 0:
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1265630847
Step 1 took 45782ms
Step 2 took 16600ms
Run 41 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1304815603
Step 1 took 43378ms
Step 2 took 16545ms
** Factor found in step 2: 7387795771429371817083664765833911799698011
Found prime factor of 43 digits: 7387795771429371817083664765833911799698011
Composite cofactor 180807986319578519675686660068304351526941267149734281913492652359303621089389699225423172264738682598860438528636166959308951151623614314554425906388385684303401238181734290307521927436740931018942708985923 has 207 digits

2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

56245131029453796965454729559168705336008811905771741782974079127542548711011075461036214876483471886993205348693861210116331902711837838267957674270496626359589254847877529014704151894902120740849304865188844007616798894078776464018953682666023638767<251>

942898091574262653692388926604812551859395036584445953081390963264690352266727012144527419476502979557969374669985667949008071207663875688315606849211737195443916421513162857358376706645545749415403183223957154710718865505016217847175077317643509089537602775891981594629252470393<279>

507894218602483766342105799688816339744920812269519647530312478272702170613639208601487795160916583527803691417739493032732074219151633038788818801439093515121727845903283259504957131489268879915094127450961573611023406007315953825462713812083<243>

1832427976812456890022617251340674461366633827<46>

277170085279954829094057716143318572133960058192077160810898735459283153477823775504434886999716199659148789430214386022631919223758856662515354931384160871833153561303503579306745963705232958929329<198>

Resuming ECM residue saved by @447ca5b96bb7 with GMP-ECM 7.0.5-dev on Fri Aug 18 00:34:53 2023 
Input number is 507894218602483766342105799688816339744920812269519647530312478272702170613639208601487795160916583527803691417739493032732074219151633038788818801439093515121727845903283259504957131489268879915094127450961573611023406007315953825462713812083 (243 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:525410087
Step 1 took 0ms
Step 2 took 6166ms
********** Factor found in step 2: 1832427976812456890022617251340674461366633827
Found prime factor of 46 digits: 1832427976812456890022617251340674461366633827
Composite cofactor 277170085279954829094057716143318572133960058192077160810898735459283153477823775504434886999716199659148789430214386022631919223758856662515354931384160871833153561303503579306745963705232958929329 has 198 digits

722803187813015522207131922762095584424526899075820663728251976037663412175924432534228438923298320139760993098504581209003922303063518333739505356692979275882409046010265326044851979<183>

8808578216897044040232890658133277707418997071041<49>
82056737195850656126436731117513069529371544723290463701660223147699705835817879122926065473789385540322795111776095865214652374934219<134>

722803187813015522207131922762095584424526899075820663728251976037663412175924432534228438923298320139760993098504581209003922303063518333739505356692979275882409046010265326044851979

cado polynomial
n: 722803187813015522207131922762095584424526899075820663728251976037663412175924432534228438923298320139760993098504581209003922303063518333739505356692979275882409046010265326044851979
skew: 1.26
type: snfs
c0: 4
##### c3: 1
c3: -2
c6: 1
Y0: 100000000000000000000000000000000
Y1: -1
##### # f(x) = x^6+x^3+4
# f(x) = x^6-2*x^3+4
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11100000
tasks.lim1 = 11100000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.sqrt.threads = 2
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 82056737195850656126436731117513069529371544723290463701660223147699705835817879122926065473789385540322795111776095865214652374934219 8808578216897044040232890658133277707418997071041
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 21.15/7.91931
Info:Generate Free Relations: Total cpu/real time for freerel: 456.17/156.636
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24841320
Info:Lattice Sieving: Average J: 1893.01 for 2181928 special-q, max bucket fill -bkmult 1.0,1s:1.195510
Info:Lattice Sieving: Total time: 714259s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 120.26/364.555
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 361.79999999999995s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 918.29/1131.14
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 984.5000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 721.84/1047.89
Info:Filtering - Merging: Total cpu/real time for merge: 1731.37/1725.04
Info:Filtering - Merging: Total cpu/real time for replay: 179.34/204.349
Info:Linear Algebra: Total cpu/real time for bwc: 177436/60582.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 46839.48, iteration CPU time 0.64, COMM 0.02, cpu-wait 0.11, comm-wait 0.0 (61184 iterations)
Info:Linear Algebra: Lingen CPU time 1218.67, WCT time 284.2
Info:Linear Algebra: Mksol: WCT time 12957.28, iteration CPU time 0.35, COMM 0.01, cpu-wait 0.06, comm-wait 0.0 (30720 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 88.38/23.6637
Info:Square Root: Total cpu/real time for sqrt: 449.38/203.348
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.29648e+06/297586
Info:root: Cleaning up computation data in /tmp/cado.a5im6otv
82056737195850656126436731117513069529371544723290463701660223147699705835817879122926065473789385540322795111776095865214652374934219 8808578216897044040232890658133277707418997071041

cado-nfs-3.0.0

Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

564882464226366301172469962141777779468012941314700241280685642025217146959725488798822335799220221985847290548109463548295839769191030487814834537309751176025184076414490405005618254916249316587538417222464577979982259011565494078445757372856907594872270985206003326727599499<276>

73816392541485661341219709241952457634977163<44>

7652534142858523752968830054589376012907990204582473177545321846299222669527134278209069337010882865394752849304110509461783497394981995720657839768181496610946398062088897747933780603997261567418197263896142527032537141896507318273<232>

Resuming ECM residue saved by @447ca5b96bb7 with GMP-ECM 7.0.5-dev on Fri Aug 18 00:39:19 2023 
Input number is 564882464226366301172469962141777779468012941314700241280685642025217146959725488798822335799220221985847290548109463548295839769191030487814834537309751176025184076414490405005618254916249316587538417222464577979982259011565494078445757372856907594872270985206003326727599499 (276 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1384095488
Step 1 took 0ms
Step 2 took 7066ms
********** Factor found in step 2: 73816392541485661341219709241952457634977163
Found prime factor of 44 digits: 73816392541485661341219709241952457634977163
Composite cofactor 7652534142858523752968830054589376012907990204582473177545321846299222669527134278209069337010882865394752849304110509461783497394981995720657839768181496610946398062088897747933780603997261567418197263896142527032537141896507318273 has 232 digits

18021498290802536093945159423000037681511206204838769551812740739238789025411277821480031276295862884869090852441803699995111632545623230479445187616192393778814722294525074081531690449<185>

8017590425557079736625070380869318601<37>
160794061419700540280678557442674097161740283735355559795738479341<66>
13979029559641444396437286363632313812116914058402644180941186753374710943718019789<83>

18021498290802536093945159423000037681511206204838769551812740739238789025411277821480031276295862884869090852441803699995111632545623230479445187616192393778814722294525074081531690449=8017590425557079736625070380869318601*160794061419700540280678557442674097161740283735355559795738479341*13979029559641444396437286363632313812116914058402644180941186753374710943718019789

cado polynomial
n: 18021498290802536093945159423000037681511206204838769551812740739238789025411277821480031276295862884869090852441803699995111632545623230479445187616192393778814722294525074081531690449
skew: 0.58
type: snfs
c0: 1
c3: -5
c6: 25
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 25*x^6+5*x^3+1
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11700000
tasks.lim1 = 11700000
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.sqrt.threads = 2
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log lost

cado-nfs-3.0.0

Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

22979250655827813717325803492478431675334440014044918000841959744029531094602817439964409736584253882114605795550849405021242019306247231000295972748447062240679156348983122199978307587380898543850844441503100360498484288626741597407205190001636122646694940336673597208664464335283812129<287>

110227957323577224519081803554976731791029<42>

208470257580584446236468074875092804892851333358812538363211864044583983649047460423993717438450335305167792188417770802582278640158143276222191151707981367902488713703276119945932415146670781938921989267865430860014262852903522258057967411555901<246>

Resuming ECM residue saved by @447ca5b96bb7 with GMP-ECM 7.0.5-dev on Fri Aug 18 00:43:45 2023 
Input number is 22979250655827813717325803492478431675334440014044918000841959744029531094602817439964409736584253882114605795550849405021242019306247231000295972748447062240679156348983122199978307587380898543850844441503100360498484288626741597407205190001636122646694940336673597208664464335283812129 (287 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2707323940
Step 1 took 0ms
Step 2 took 7379ms
********** Factor found in step 2: 110227957323577224519081803554976731791029
Found prime factor of 42 digits: 110227957323577224519081803554976731791029
Composite cofactor 208470257580584446236468074875092804892851333358812538363211864044583983649047460423993717438450335305167792188417770802582278640158143276222191151707981367902488713703276119945932415146670781938921989267865430860014262852903522258057967411555901 has 246 digits

156705191900744942088095820505250917765069125617933097270002054731013711079410557420279113425708434783733016195819579314814950262110289814993295731497362582220864219036261255719620387023570964007485876261955037160882850807855674219430332725772045840491112699597906661287<270>

16457370962555454251802366381176908201<38>

9521884890198294519106220609984927879089253525662861383086776568667614351533812254510409318797303698049827266258016543385734672733638004876632590430111798700534207923311373316176827940383523163472733449080144844976869243607055687887<232>

GPU: factor 16457370962555454251802366381176908201 found in Step 1 with curve 1567 (-sigma 3:-1199869772)
Computing 1792 Step 1 took 302ms of CPU time / 265798ms of GPU time
Throughput: 6.742 curves per second (on average 148.32ms per Step 1)
********** Factor found in step 1: 16457370962555454251802366381176908201
Found prime factor of 38 digits: 16457370962555454251802366381176908201
Composite cofactor 9521884890198294519106220609984927879089253525662861383086776568667614351533812254510409318797303698049827266258016543385734672733638004876632590430111798700534207923311373316176827940383523163472733449080144844976869243607055687887 has 232 digits
Peak memory usage: 9426MB

115301704566603836296358116009348171995002760587342139313911189356550004962681597087067861091693818324833275546207885406290338917808681075856643485310140885013058284956895063499543815693510696947578026664542861014423644567586802459630557673980782485672357831480669247724656817<276>

982862198804037821316205166224462234953641<42>

117312177339717371869328386805886450071993832151371204383642225824966193607755638692843747641500575737638296065022414937333562556340021140159794397271489335605312049755740373933090105917661040764933133686897053326085895595008191688137<234>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 115301704566603836296358116009348171995002760587342139313911189356550004962681597087067861091693818324833275546207885406290338917808681075856643485310140885013058284956895063499543815693510696947578026664542861014423644567586802459630557673980782485672357831480669247724656817 (276 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1624620866
Step 1 took 55752ms
Step 2 took 18821ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:65481062
Step 1 took 54566ms
Step 2 took 19080ms
Run 3 out of 0:
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2581370928
Step 1 took 57844ms
Step 2 took 18948ms
Run 27 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:328157859
Step 1 took 54658ms
Step 2 took 18768ms
** Factor found in step 2: 982862198804037821316205166224462234953641
Found prime factor of 42 digits: 982862198804037821316205166224462234953641
Composite cofactor 117312177339717371869328386805886450071993832151371204383642225824966193607755638692843747641500575737638296065022414937333562556340021140159794397271489335605312049755740373933090105917661040764933133686897053326085895595008191688137 has 234 digits

2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

6940271175467877529830246969355609166145069223196339999154718231227208608992979642260663598670729766162006868690513638899080023287878058072732906571484407620222254673313485767728061206471062750117482210765799264972738476062366324750001352150804902351785070701056132503204251<274>

2409181615333904862186132290606138565217121780616206324683658355431612226489388119636026348167141732481633752390639461435148814781318719189688565412535339594889338628530605252593661794567562421371145074129067906727510473953364090628082137399032829162471073133524294617661<271>