536626341948380795843882991254646802484220906847195063000112781280652349080029724573317333292538533143583393766454847871737<123>

78551141265709119861662090028156476827551477354496806367679<59>
6831553727948708822739761723041161267720969245977604730974335303<64>

Number: 11611_76
N=536626341948380795843882991254646802484220906847195063000112781280652349080029724573317333292538533143583393766454847871737
  ( 123 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=78551141265709119861662090028156476827551477354496806367679 (pp59)
 r2=6831553727948708822739761723041161267720969245977604730974335303 (pp64)
Version: Msieve-1.40
Total time: 22.19 hours.
Scaled time: 74.50 units (timescale=3.357).
Factorization parameters were as follows:
name: 11611_76
n: 536626341948380795843882991254646802484220906847195063000112781280652349080029724573317333292538533143583393766454847871737
m: 10000000000000000000000000
deg: 6
c6: 1000
c3: 450
c0: -1
skew: 0.32
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 2650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 495314 x 495562
Total sieving time: 21.60 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.45 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,153.000,6,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 22.19 hours.
 --------- CPU info (if available) ----------

55050521151722539645045253473139658720278534003007028920136748400491197409863992148866195483215491539002905206081812346878607653769866077460861<143>

1053413005863551930480566212679271<34>
52259200185775195018831877206200965679351638281007430210062329841442168343372405422834493827060017179037383291<110>

Number: 11611_78
N=55050521151722539645045253473139658720278534003007028920136748400491197409863992148866195483215491539002905206081812346878607653769866077460861
  ( 143 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=1053413005863551930480566212679271 (pp34)
 r2=52259200185775195018831877206200965679351638281007430210062329841442168343372405422834493827060017179037383291 (pp110)
Version: Msieve-1.40
Total time: 24.39 hours.
Scaled time: 76.27 units (timescale=3.127).
Factorization parameters were as follows:
name: 11611_78
n: 55050521151722539645045253473139658720278534003007028920136748400491197409863992148866195483215491539002905206081812346878607653769866077460861
m: 100000000000000000000000000
deg: 6
c6: 10
c3: 45
c0: -1
skew: 0.68
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 459836 x 460084
Total sieving time: 23.87 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.41 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,157.000,6,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 24.39 hours.
 --------- CPU info (if available) ----------

2726953510419552932465508709507721063395511157195585922523383736200352449871533966354962987662209853881549617491306467566144113762011090711560807313<148>

448110539077207126178241898321895593641733<42>
6085448282549125583193598835208368054151313269620622713479030260264610238656035986895424525847396025055261<106>

Number: 11611_79
N=2726953510419552932465508709507721063395511157195585922523383736200352449871533966354962987662209853881549617491306467566144113762011090711560807313
  ( 148 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=448110539077207126178241898321895593641733 (pp42)
 r2=6085448282549125583193598835208368054151313269620622713479030260264610238656035986895424525847396025055261 (pp106)
Version: Msieve-1.40
Total time: 35.84 hours.
Scaled time: 116.62 units (timescale=3.254).
Factorization parameters were as follows:
name: 11611_79
n: 2726953510419552932465508709507721063395511157195585922523383736200352449871533966354962987662209853881549617491306467566144113762011090711560807313
m: 100000000000000000000000000
deg: 6
c6: 1000
c3: 450
c0: -1
skew: 0.32
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 3650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 568030 x 568278
Total sieving time: 35.07 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.62 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,159.000,6,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 35.84 hours.
 --------- CPU info (if available) ----------

454996565709653971686814857361243761336285299710957287229503901156095828451470949469119766308514400250384534076056081032573819870550860866157436537<147>

2552857079271698760467107299412849<34>
178230332361363270547035545823949660329537980981547809170379353223554877103966040164764035618123958992598465605513<114>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2404217708
Step 1 took 4447ms
Step 2 took 3546ms
********** Factor found in step 2: 2552857079271698760467107299412849
Found probable prime factor of 34 digits: 2552857079271698760467107299412849
Probable prime cofactor has 114 digits

1053186813489988279042286625027597505570808764803844799819380937471201438725647533044578258838397750553635644106575995049293340759819<133>

441897986087805453140327979103335499946254240867<48>
2383325669379084449281650746206603851763875423642140066313406414144499651666157971257<85>

Number: 11611_82
N=1053186813489988279042286625027597505570808764803844799819380937471201438725647533044578258838397750553635644106575995049293340759819
  ( 133 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=441897986087805453140327979103335499946254240867 (pp48)
 r2=2383325669379084449281650746206603851763875423642140066313406414144499651666157971257 (pp85)
Version: Msieve-1.40
Total time: 52.13 hours.
Scaled time: 153.33 units (timescale=2.941).
Factorization parameters were as follows:
name: 11611_82
n: 1053186813489988279042286625027597505570808764803844799819380937471201438725647533044578258838397750553635644106575995049293340759819
m: 1000000000000000000000000000
deg: 6
c6: 1000
c3: 450
c0: -1
skew: 0.32
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 4850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 765482 x 765730
Total sieving time: 50.76 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.17 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,165.000,6,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 52.13 hours.
 --------- CPU info (if available) ----------

3719341923775240219227724694191431712347137932281882450058982722297872629145568878647982374004170803317034726055279994068314646213439067914149<142>

16204110711535049381592111781125453097<38>
229530764753883810062904147133350437068767123725818259389600059334774044957970949684432852449175262079517<105>

Using B1=3000000, B2=8560493770, polynomial Dickson(6), sigma=3395996210
Step 1 took 6577ms
Step 2 took 4314ms
********** Factor found in step 2: 16204110711535049381592111781125453097
Found probable prime factor of 38 digits: 16204110711535049381592111781125453097
Probable prime cofactor 229530764753883810062904147133350437068767123725818259389600059334774044957970949684432852449175262079517 has 105 digits

55099792824615419083737490365157962661916172805890299474835528965982455454645418304156069039564777757842334634028205208244559002380805261784756101<146>

21127376504159154072120282256332734378790689<44>
2146440628286956190444448943746786910572340201<46>
1215025839308107226331821482386161383400155069427880817309<58>

Msieve v. 1.49
Fri Mar 18 22:48:22 2011
random seeds: 07eaf530 9a2a461b
factoring 55099792824615419083737490365157962661916172805890299474835528965982455454645418304156069039564777757842334634028205208244559002380805261784756101 (146 digits)
searching for 15-digit factors
commencing number field sieve (146-digit input)
R0: -10000000000000000000000000000
R1:  1
A0: -1
A1:  0
A2:  0
A3:  45
A4:  0
A5:  0
A6:  10
skew 0.68, size 3.049e-08, alpha -0.221, combined = 1.628e-10 rroots = 2

commencing square root phase
reading relations for dependency 1
read 297639 cycles
cycles contain 867630 unique relations
read 867630 relations
multiplying 867630 relations
multiply complete, coefficients have about 21.66 million bits
initial square root is modulo 1662347
reading relations for dependency 2
read 296951 cycles
cycles contain 867246 unique relations
read 867246 relations
multiplying 867246 relations
multiply complete, coefficients have about 21.65 million bits
initial square root is modulo 1652617

sqrtTime: 322
prp44 factor: 21127376504159154072120282256332734378790689
prp46 factor: 2146440628286956190444448943746786910572340201
prp58 factor: 1215025839308107226331821482386161383400155069427880817309
elapsed time 00:05:23

74564687365625691693530506058269914373915425535937020573558355835699224676536782178840950682151144157674426229108074741229193558461183534703929<143>

150267867547616581586178335105686069428429862369288060507024651<63>
496211788870949290371299442086147631964399853364378266156833004285719551465781579<81>

Number: 11611_85
N=74564687365625691693530506058269914373915425535937020573558355835699224676536782178840950682151144157674426229108074741229193558461183534703929
  ( 143 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=150267867547616581586178335105686069428429862369288060507024651 (pp63)
 r2=496211788870949290371299442086147631964399853364378266156833004285719551465781579 (pp81)
Version: Msieve-1.40
Total time: 143.60 hours.
Scaled time: 285.90 units (timescale=1.991).
Factorization parameters were as follows:
name: 11611_85
n: 74564687365625691693530506058269914373915425535937020573558355835699224676536782178840950682151144157674426229108074741229193558461183534703929
m: 10000000000000000000000000000
deg: 6
c6: 1000
c3: 450
c0: -1
skew: 0.32
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 4500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 884712 x 884960
Total sieving time: 141.25 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.99 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,171.000,6,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 143.60 hours.
 --------- CPU info (if available) ----------

97242933301423344526460713152366874954944569277337472960137825134660572830754964190241137233149575395505164867585062379313611314611153909044127<143>

679282843487578330288416372584347337671643921<45>
143155291251223206069165156377994832619429113097421957219546276322288753011257366833525405229063087<99>

Number: 11611_87
N=97242933301423344526460713152366874954944569277337472960137825134660572830754964190241137233149575395505164867585062379313611314611153909044127
  ( 143 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=679282843487578330288416372584347337671643921
 r2=143155291251223206069165156377994832619429113097421957219546276322288753011257366833525405229063087
Version: 
Total time: 56.50 hours.
Scaled time: 135.21 units (timescale=2.393).
Factorization parameters were as follows:
n: 97242933301423344526460713152366874954944569277337472960137825134660572830754964190241137233149575395505164867585062379313611314611153909044127
m: 100000000000000000000000000000
deg: 6
c6: 10
c3: 45
c0: -1
skew: 0.68
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [4000000, 7800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 15520816
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1158126 x 1158374
Total sieving time: 50.61 hours.
Total relation processing time: 2.92 hours.
Matrix solve time: 2.81 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,175,6,0,0,0,0,0,0,0,0,8000000,8000000,28,28,52,52,2.5,2.5,100000
total time: 56.50 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8042024k/9175040k available (2593k kernel code, 343944k reserved, 1653k data, 224k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.45 BogoMIPS (lpj=2672727)
Calibrating delay using timer specific routine.. 5345.46 BogoMIPS (lpj=2672730)
Calibrating delay using timer specific routine.. 5345.44 BogoMIPS (lpj=2672723)
Calibrating delay using timer specific routine.. 5345.45 BogoMIPS (lpj=2672727)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

483091787439613526570048309178743961352657004830917874396135265700483091787439613526570070048309178743961352657004830917874396135265700483091787439613526570048309178743961352657<177>

5867905016831416949440562107791649373355553428439821064241517747779407546402756903<82>
82327813087280686712279361657306434111036421958669909199915727986089328514678886457773844840519<95>

Number: 11611_89
N=483091787439613526570048309178743961352657004830917874396135265700483091787439613526570070048309178743961352657004830917874396135265700483091787439613526570048309178743961352657
  ( 177 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=5867905016831416949440562107791649373355553428439821064241517747779407546402756903
 r2=82327813087280686712279361657306434111036421958669909199915727986089328514678886457773844840519
Version: 
Total time: 292.68 hours.
Scaled time: 489.35 units (timescale=1.672).
Factorization parameters were as follows:
n: 483091787439613526570048309178743961352657004830917874396135265700483091787439613526570070048309178743961352657004830917874396135265700483091787439613526570048309178743961352657
m: 100000000000000000000000000000
deg: 6
c6: 100000
c3: 4500
c0: -1
skew: 0.15
type: snfs
lss: 1
rlim: 6700000
alim: 6700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3350000, 5850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1015218 x 1015466
Total sieving time: 292.68 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,179,6,0,0,0,0,0,0,0,0,6700000,6700000,28,28,53,53,2.5,2.5,100000
total time: 292.68 hours.
 --------- CPU info (if available) ----------

25384083519371465885377713246995252094160439026760418311907450407620582424875426432024086920011693527888832652105901731457179235408906418045407591427<149>

85751731964946762868571116549732320190965253<44>
471380383045773386421350917536674784868028341<45>
627981836575582488316473588852675302041603823086131590297899<60>

GMP-ECM 6.3 [configured with GMP 5.0.0 and --enable-asm-redc] [ECM]
Input number is 25384083519371465885377713246995252094160439026760418311907450407620582424875426432024086920011693527888832652105901731457179235408906418045407591427 (149 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1287070655
Step 1 took 12311ms
Step 2 took 5706ms
********** Factor found in step 2: 85751731964946762868571116549732320190965253
Found probable prime factor of 44 digits: 85751731964946762868571116549732320190965253
Composite cofactor 296018318670786337061876123972796888498888692035239562675916448100280228081873210974796745912792964755559 has 105 digits

Number: 11611_90
N=296018318670786337061876123972796888498888692035239562675916448100280228081873210974796745912792964755559
  ( 105 digits)
Divisors found:
 r1=471380383045773386421350917536674784868028341
 r2=627981836575582488316473588852675302041603823086131590297899
Version: 
Total time: 5.54 hours.
Scaled time: 13.21 units (timescale=2.383).
Factorization parameters were as follows:
name: 11611_90
n: 296018318670786337061876123972796888498888692035239562675916448100280228081873210974796745912792964755559
skew: 10855.97
# norm 3.34e+14
c5: 28080
c4: -1315319692
c3: 16960987350646
c2: 155285446621047059
c1: -581892994443108109086
c0: -3503920169106512132565375
# alpha -5.75
Y1: 112613404607
Y0: -101062219194494184812
# Murphy_E 1.89e-09
# M 8569927597527387350766973292459044135094364170667382982740501262554521321463301288678717635531743624723
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [900000, 1700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8380780
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 294652 x 294899
Polynomial selection time: 0.33 hours.
Total sieving time: 4.33 hours.
Total relation processing time: 0.63 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,27,27,52,52,2.6,2.6,50000
total time: 5.54 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8042024k/9175040k available (2593k kernel code, 343944k reserved, 1653k data, 224k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.45 BogoMIPS (lpj=2672727)
Calibrating delay using timer specific routine.. 5345.45 BogoMIPS (lpj=2672728)
Calibrating delay using timer specific routine.. 5345.45 BogoMIPS (lpj=2672726)
Calibrating delay using timer specific routine.. 5345.46 BogoMIPS (lpj=2672731)

GMP-ECM v6.2.3/GGNFS/Msieve v1.39

Core 2 Quad Q6700

131735131309418035105489424513051471136461698109175532491392478226281664532786099906916338307926822796001094355879159375115621866388849499755289544622847259787235925216390409<174>

3039818693223847254442410890287<31>
43336509379020808746595146873768975846337396257074376432357235393138101293854366775949336984048486954261524673633759659250609255161026866523207<143>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=1539504833
Step 1 took 5388ms
Step 2 took 3930ms
********** Factor found in step 2: 3039818693223847254442410890287
Found probable prime factor of 31 digits: 3039818693223847254442410890287
Probable prime cofactor has 143 digits

222994311974750348881630980181924830060161911271631809390956788720803984942945866462257788865137923046419731302254079147708004405810386434304387729242748901556048223445034143559<177>

1946901548975882673824428689169784813<37>
114538052574898177583757490234568188044093372912188426543231498411511990089023221693137762326019933677155879602519755895971241450647274618243<141>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1341714218
Step 1 took 27659ms
********** Factor found in step 1: 1946901548975882673824428689169784813
Found probable prime factor of 37 digits: 1946901548975882673824428689169784813
Probable prime cofactor 114538052574898177583757490234568188044093372912188426543231498411511990089023221693137762326019933677155879602519755895971241450647274618243 has 141 digits

GMP-ECM 6.3

111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111161111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<189>

107518715487660677200867256769903122501218066521490051<54>
1033411816790749449596339301778516956636903166970044551070916438766947061139668263749619533051062847659211304011869667000714546264318061<136>

SNFS difficulty: 189 digits.
Divisors found:
 r1=107518715487660677200867256769903122501218066521490051 (pp54)
 r2=1033411816790749449596339301778516956636903166970044551070916438766947061139668263749619533051062847659211304011869667000714546264318061 (pp136)
Version: Msieve v. 1.48 SVN488 LARGE_BLOCKS zlib option -D density
Total time: 165.68 hours.
Scaled time: 397.64 units (timescale=2.400).
Factorization parameters were as follows:
n: 111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111161111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 10000000000000000000000000000000
deg: 6
c6: 1000
c3: 450
c0: -1
skew: 0.32
type: snfs
lss: 0
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5

Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [6250000, 10850001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 2121812 x 2122036
Total sieving time: 161.87 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.65 hours.
Time per square root: 1.03 hours.
Prototype def-par.txt line would be:
snfs,189.000,6,0,0,0,0,0,0,0,0,10000000,10000000,28,28,55,55,2.5,2.5,100000
total time: 165.68 hours.

17983014323650738931050065970688046312735768557167013469097898271166951967188911385639807775964100868165982502886723374304034866906811839944698634351909247639234837126940119979074964533<185>

80293537612573633820095992232386424117794565967280653800363833599720815437123785147<83>
223965898855036544443623819253994828948504778153720697909171539558915453613020978716628743193146655439<102>

Number: 11611_95
N=17983014323650738931050065970688046312735768557167013469097898271166951967188911385639807775964100868165982502886723374304034866906811839944698634351909247639234837126940119979074964533
  ( 185 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=80293537612573633820095992232386424117794565967280653800363833599720815437123785147
 r2=223965898855036544443623819253994828948504778153720697909171539558915453613020978716628743193146655439
Version: 
Total time: 784.33 hours.
Scaled time: 1400.03 units (timescale=1.785).
Factorization parameters were as follows:
n: 17983014323650738931050065970688046312735768557167013469097898271166951967188911385639807775964100868165982502886723374304034866906811839944698634351909247639234837126940119979074964533
m: 10000000000000000000000000000000
deg: 6
c6: 100000
c3: 4500
c0: -1
skew: 0.15
type: snfs
lss: 1
rlim: 10700000
alim: 10700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10700000/10700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5350000, 9950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1797761 x 1798009
Total sieving time: 784.33 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,191,6,0,0,0,0,0,0,0,0,10700000,10700000,28,28,54,54,2.5,2.5,100000
total time: 784.33 hours.
 --------- CPU info (if available) ----------

162353192661729476142757381813832254573504362487651018212443334929739995060305974860801489652270686401499212166856494181769759843568869317446266639438095227453<159>

1186742286469503345269612114776642739339<40>

136805770311532245619590913753563566455576837542560340109175496338330030742309234446937437630017806129781263180407952727<120>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3162698974
Step 1 took 7909ms
Step 2 took 5725ms
********** Factor found in step 2: 1186742286469503345269612114776642739339
Found probable prime factor of 40 digits: 1186742286469503345269612114776642739339
Composite cofactor 136805770311532245619590913753563566455576837542560340109175496338330030742309234446937437630017806129781263180407952727 has 120 digits

GMP-ECM 6.3

136805770311532245619590913753563566455576837542560340109175496338330030742309234446937437630017806129781263180407952727<120>

345485316965877140080113080090886309625796232202237861<54>
395981431318090616659504644625634035616491692986319544138831685707<66>

Divisors found:
 r1=345485316965877140080113080090886309625796232202237861 (pp54)
 r2=395981431318090616659504644625634035616491692986319544138831685707 (pp66)
Version: Msieve v. 1.49 SVN544 option -D density
Total time: 22.38 hours.
Scaled time: 53.71 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  136805770311532245619590913753563566455576837542560340109175496338330030742309234446937437630017806129781263180407952727
skew:  256140.79
Y0:  -183362446400520635431371
Y1:   3970704417907
c0:   289687059703366299950534232856
c1:   4031308015109294610419010
c2:  -32546543060792547477
c3:  -213969062325921
c4:   597024605
c5:   660
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [2625000, 4525001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 741737 x 741961
Total sieving time: 21.75 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
gnfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4200000,4200000,27,27,53,53,2.5,2.5,100000
total time: 22.38 hours.

154121094400508395789171806608976929803525603704884228711413516882182960172425640316967694108484458723707282606732153919959408411920839691307647013301139304643307789298768539<174>

4257740792724249705341672224482022009<37>

36197857479693213831393837117954371784286817325349737366601254383116919008906076639556446680962588501572879522371527805700457091231445171<137>

Using B1=3000000, B2=8560493770, polynomial Dickson(6), sigma=3413960370
Step 1 took 8070ms
Step 2 took 4952ms
********** Factor found in step 2: 4257740792724249705341672224482022009
Found probable prime factor of 37 digits: 4257740792724249705341672224482022009
Composite cofactor has 137 digits

36197857479693213831393837117954371784286817325349737366601254383116919008906076639556446680962588501572879522371527805700457091231445171<137>

374308764331927244645726592231558259996212050402421543443<57>
96705877417270140111472155735693413057530879692105900601832863752523419890678497<80>

Number: 11611_97
N=36197857479693213831393837117954371784286817325349737366601254383116919008906076639556446680962588501572879522371527805700457091231445171
  ( 137 digits)
Divisors found:
 r1=374308764331927244645726592231558259996212050402421543443
 r2=96705877417270140111472155735693413057530879692105900601832863752523419890678497
Version: 
Total time: 265.11 hours.
Scaled time: 633.87 units (timescale=2.391).
Factorization parameters were as follows:
name: 11611_97
n: 36197857479693213831393837117954371784286817325349737366601254383116919008906076639556446680962588501572879522371527805700457091231445171
skew: 85139.92
# norm 4.60e+18
c5: 4332900
c4: -1814330054686
c3: -110912739186756136
c2: 14308260991481418618515
c1: 338969875414950381125812098
c0: -1827588525520565403744638301552
# alpha -5.91
Y1: 4229414224780369
Y0: -96467813384052183690129677
# Murphy_E 3.03e-11
# M 30872030650798144720206848736622273615996786933684385130910791200964176701284280728741404968902692067953701928726820592275334651014794406
type: gnfs
rlim: 11400000
alim: 11400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 11400000/11400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [5700000, 11300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 22084055
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1963406 x 1963654
Polynomial selection time: 32.13 hours.
Total sieving time: 216.26 hours.
Total relation processing time: 6.75 hours.
Matrix solve time: 8.76 hours.
Time per square root: 1.20 hours.
Prototype def-par.txt line would be:
gnfs,136,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,11400000,11400000,28,28,56,56,2.6,2.6,100000
total time: 265.11 hours.
 --------- CPU info (if available) ----------

GGNFS / Msieve v1.39

Core 2 Quad Q6700

35109859756855065120922658186559901966873719268865418633551113808493479181783836922736371226808065298096472086741612228854700930303312069851291663919<149>

283051008655305382190417256747571057179026290050791<51>
124040751254171450303124719038095001220943337682805342810796718289718171182011426401761518074514809<99>

GMP-ECM 6.3 [configured with GMP 5.0.2 and --enable-asm-redc] [ECM]
Input number is 35109859756855065120922658186559901966873719268865418633551113808493479181783836922736371226808065298096472086741612228854700930303312069851291663919 (149 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=8250379896
Step 1 took 128372ms
Step 2 took 40250ms
********** Factor found in step 2: 283051008655305382190417256747571057179026290050791
Found probable prime factor of 51 digits: 283051008655305382190417256747571057179026290050791
Probable prime cofactor 124040751254171450303124719038095001220943337682805342810796718289718171182011426401761518074514809 has 99 digits

Core i7 980

33636903421714668610807318785507389589477914925833507337560392743298873771416488152224770598276492454282613436176072363903402792515429020850853<143>

10770813235228592858626803093169102104849819563997643<53>
3122967847190675056136409666097890550208140285621966665338842023196523343021810909891227471<91>

Number: 11611_100
N=33636903421714668610807318785507389589477914925833507337560392743298873771416488152224770598276492454282613436176072363903402792515429020850853
  ( 143 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=10770813235228592858626803093169102104849819563997643
 r2=3122967847190675056136409666097890550208140285621966665338842023196523343021810909891227471
Version: 
Total time: 334.49 hours.
Scaled time: 1226.57 units (timescale=3.667).
Factorization parameters were as follows:
n: 33636903421714668610807318785507389589477914925833507337560392743298873771416488152224770598276492454282613436176072363903402792515429020850853
m: 1000000000000000000000000000000000
deg: 6
c6: 1000
c3: 450
c0: -1
skew: 0.32
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6

Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [10000000, 19600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 38489653
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3275800 x 3276048
Total sieving time: 298.90 hours.
Total relation processing time: 7.49 hours.
Matrix solve time: 27.12 hours.
Time per square root: 0.98 hours.
Prototype def-par.txt line would be:
snfs,201,6,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 334.49 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 24581148k/26214400k available (5084k kernel code, 1057688k absent, 575564k reserved, 7228k data, 1244k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6665.15 BogoMIPS (lpj=3332576)
Total of 12 processors activated (79996.07 BogoMIPS).

GGNFS / Msieve v1.39

Core i7 980

1096918709451169779362278959663914670312566110587905073760446524648938985602484402690497468443418854283615878624738364154661138993699304296844970003563290737234586890267358089231354031175805851<193>

3714706628731957928704591169538912186148434503<46>
295290804653828327468758247903567566408129370303766657966234380648512017292221940042210035638021047178135148032613005531322668675770616163571823117<147>

Number: n
N=1096918709451169779362278959663914670312566110587905073760446524648938985602484402690497468443418854283615878624738364154661138993699304296844970003563290737234586890267358089231354031175805851  ( 193 digits)
SNFS difficulty: 204 digits.
Divisors found:

Wed Dec 15 18:10:36 2021  p46 factor: 3714706628731957928704591169538912186148434503
Wed Dec 15 18:10:36 2021  p147 factor: 295290804653828327468758247903567566408129370303766657966234380648512017292221940042210035638021047178135148032613005531322668675770616163571823117
Wed Dec 15 18:10:36 2021  elapsed time 01:45:40 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 10^203+45x10^101-1 = 1(101)61(101)
#
n: 1096918709451169779362278959663914670312566110587905073760446524648938985602484402690497468443418854283615878624738364154661138993699304296844970003563290737234586890267358089231354031175805851
m: 10000000000000000000000000000000000
deg: 6
c6: 1
c3: 45
c0: -10
skew: 1.47
# Murphy_E = 1.242e-11
type: snfs
lss: 1
rlim: 17600000
alim: 17600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17600000/17600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 50400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9125194 hash collisions in 66685056 relations (60154396 unique)
Msieve: matrix is 2039051 x 2039277 (700.2 MB)

Sieving start time : 2021/12/14 22:13:30
Sieving end time  : 2021/12/15 16:23:12

Total sieving time: 18hrs 9min 42secs.

Total relation processing time: 1hrs 20min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 40sec.

Prototype def-par.txt line would be:
snfs,204,6,0,0,0,0,0,0,0,0,17600000,17600000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118230] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.153572] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.15 BogoMIPS (lpj=12798304)
[    0.152049] smpboot: Total of 16 processors activated (102386.43 BogoMIPS)

41923469114717727878367823004057536828624723188959299988466433990460856339062944420219651419010956204268862448240349790254342182763128053957082489519617152805175036880420892991697418941<185>

742440309524974328511386972387501823934266349<45>
56467124126842010280599945507774815399444116266987855464121817533361753349126750635302240508526817965945443448633317811183364030438999048209<140>

Number: n
N=41923469114717727878367823004057536828624723188959299988466433990460856339062944420219651419010956204268862448240349790254342182763128053957082489519617152805175036880420892991697418941  ( 185 digits)
SNFS difficulty: 205 digits.
Divisors found:

Thu Feb 17 06:24:45 2022  p45 factor: 742440309524974328511386972387501823934266349
Thu Feb 17 06:24:45 2022  p140 factor: 56467124126842010280599945507774815399444116266987855464121817533361753349126750635302240508526817965945443448633317811183364030438999048209
Thu Feb 17 06:24:45 2022  elapsed time 01:48:13 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.308).
Factorization parameters were as follows:
#
# N = 10^205+45x10^102-1 = 1(102)61(102)
#
n: 41923469114717727878367823004057536828624723188959299988466433990460856339062944420219651419010956204268862448240349790254342182763128053957082489519617152805175036880420892991697418941
m: 10000000000000000000000000000000000
deg: 6
c6: 10
c3: 45
c0: -1
skew: 0.68
# Murphy_E = 1.151e-11
type: snfs
lss: 1
rlim: 18300000
alim: 18300000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18300000/18300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 36350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5106628 hash collisions in 34175999 relations (30472529 unique)
Msieve: matrix is 2070839 x 2071065 (722.0 MB)

Sieving start time : 2022/02/16 14:57:40
Sieving end time  : 2022/02/17 04:35:55

Total sieving time: 13hrs 38min 15secs.

Total relation processing time: 1hrs 31min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 53sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18300000,18300000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118211] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197528K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529708K reserved, 0K cma-reserved)
[    0.153519] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.18 BogoMIPS (lpj=12798376)
[    0.152049] smpboot: Total of 16 processors activated (102387.00 BogoMIPS)

7950621196781235771632742767882841576242486642042799158749075416497012630118079409198811599526208970539641785432865305542121939136854558800661341374634221504791<160>

6993800595858928415448884569896324148261014829363725698371253<61>
1136809820041029853559639467197898140659880508502604377780620897709849296935391609521544924245560347<100>

Number: 11611_104
N = 7950621196781235771632742767882841576242486642042799158749075416497012630118079409198811599526208970539641785432865305542121939136854558800661341374634221504791 (160 digits)
SNFS difficulty: 211 digits.
Divisors found:
r1=6993800595858928415448884569896324148261014829363725698371253 (pp61)
r2=1136809820041029853559639467197898140659880508502604377780620897709849296935391609521544924245560347 (pp100)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 87.97 hours.
Factorization parameters were as follows:
n: 7950621196781235771632742767882841576242486642042799158749075416497012630118079409198811599526208970539641785432865305542121939136854558800661341374634221504791
m: 100000000000000000000000000000000000
deg: 6
c6: 1
c3: 45
c0: -10
skew: 1.47
# Murphy_E = 7.857e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 41211757
Relations: 6780854 relations
Pruned matrix : 4029676 x 4029903
Total sieving time: 76.31 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 10.62 hours.
time per square root: 0.70 hours.
Prototype def-par.txt line would be: snfs,211,6,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000
total time: 87.97 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 2.29GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

760276640203008650535144845937784007307457268826506844990052350977095809131704926636620085908482597003368211719777670813470474937270573408284582611399430916675044080057666947443230141<183>

138981788836102020169849097013819091763<39>

5470332815327230734998381070987228672910680393860506642827799798492483659400177948534527219639540268145304789611156676457993310320575140216310607<145>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2161205216
Step 1 took 4713ms
Step 2 took 2400ms
********** Factor found in step 2: 138981788836102020169849097013819091763
Found probable prime factor of 39 digits: 138981788836102020169849097013819091763
Composite cofactor ((10^211+10^105*45-1)/9/3^3/863/2816852579/22266254323549)/138981788836102020169849097013819091763 has 145 digits

5470332815327230734998381070987228672910680393860506642827799798492483659400177948534527219639540268145304789611156676457993310320575140216310607<145>

8307004845169885479407397148275055606006660464209369078127487<61>
658520479677817940120477423298481693719420942788257280134818464081920502780573939761<84>

PID16191 2020-04-02 10:14:27,640 Debug:root: Root parameter dictionary:
N = 5470332815327230734998381070987228672910680393860506642827799798492483659400177948534527219639540268145304789611156676457993310320575140216310607
name = 11611_105
tasks.I = 14
tasks.lim0 = 13000000
tasks.lim1 = 20000000
tasks.lpb0 = 30
tasks.lpb1 = 31
tasks.qmin = 100000
tasks.threads = 6
tasks.wutimeout = 1800
tasks.filter.required_excess = 0.05
tasks.filter.target_density = 135.0
tasks.filter.purge.keep = 175
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.threads = 6
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 300000
tasks.polyselect.admax = 20e4
tasks.polyselect.admin = 12600
tasks.polyselect.adrange = 840
tasks.polyselect.degree = 5
tasks.polyselect.incr = 60
tasks.polyselect.nq = 15625
tasks.polyselect.nrkeep = 100
tasks.polyselect.threads = 2
tasks.sieve.lambda0 = 1.81
tasks.sieve.lambda1 = 1.79
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 58
tasks.sieve.ncurves0 = 19
tasks.sieve.ncurves1 = 22
tasks.sieve.qrange = 5000
tasks.sieve.rels_wanted = 85000000
tasks.sieve.las.threads = 2
tasks.sqrt.threads = 2
PID16191 2020-04-02 10:45:01,492 Info:Polynomial Selection (root optimized): Best polynomial is:
n: 5470332815327230734998381070987228672910680393860506642827799798492483659400177948534527219639540268145304789611156676457993310320575140216310607
skew: 331136.339
c0: -703738817231120032934988453690288
c1: -10045104247903313686813265031
c2: 40782457358670660432830
c3: 142884037493199593
c4: -152269684080
c5: 164160
Y0: -10595758623721776584220525199
Y1: 22482247884085420837
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=1.342e+13) = 2.768e-06
PID16191 2020-04-02 15:26:36,195 Info:Square Root: Factors: 8307004845169885479407397148275055606006660464209369078127487 658520479677817940120477423298481693719420942788257280134818464081920502780573939761
PID16191 2020-04-02 15:26:36,195 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID16191 2020-04-02 15:26:36,195 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID16191 2020-04-02 15:26:36,195 Info:Polynomial Selection (size optimized): potential collisions: 144726
PID16191 2020-04-02 15:26:36,195 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 147136/43.470/52.710/59.590/1.217
PID16191 2020-04-02 15:26:36,195 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 121845/41.620/46.626/52.910/0.999
PID16191 2020-04-02 15:26:36,195 Info:Polynomial Selection (size optimized): Total time: 62135.5
PID16191 2020-04-02 15:26:36,195 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID16191 2020-04-02 15:26:36,196 Info:Polynomial Selection (root optimized): Total time: 2139.91
PID16191 2020-04-02 15:26:36,196 Info:Polynomial Selection (root optimized): Rootsieve time: 2136.12
PID16191 2020-04-02 15:26:36,196 Info:Generate Factor Base: Total cpu/real time for makefb: 14.36/2.81558
PID16191 2020-04-02 15:26:36,196 Info:Generate Free Relations: Total cpu/real time for freerel: 1335.65/225.539
PID16191 2020-04-02 15:26:36,196 Info:Lattice Sieving: Aggregate statistics:
PID16191 2020-04-02 15:26:36,196 Info:Lattice Sieving: Total number of relations: 92983276
PID16191 2020-04-02 15:26:36,196 Info:Lattice Sieving: Average J: 7860.06 for 487975 special-q, max bucket fill -bkmult 1.0,1s:1.089250
PID16191 2020-04-02 15:26:36,196 Info:Lattice Sieving: Total time: 466768s
PID16191 2020-04-02 15:26:36,196 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 279.86/192.412
PID16191 2020-04-02 15:26:36,196 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID16191 2020-04-02 15:26:36,196 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 191.50000000000003s
PID16191 2020-04-02 15:26:36,196 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1035.73/407.64
PID16191 2020-04-02 15:26:36,196 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID16191 2020-04-02 15:26:36,196 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 312.7s
PID16191 2020-04-02 15:26:36,196 Info:Filtering - Singleton removal: Total cpu/real time for purge: 418.4/284.408
PID16191 2020-04-02 15:26:36,197 Info:Filtering - Merging: Total cpu/real time for merge: 150.13/33.7668
PID16191 2020-04-02 15:26:36,197 Info:Filtering - Merging: Total cpu/real time for replay: 53.22/54.3763
PID16191 2020-04-02 15:26:36,197 Info:Linear Algebra: Total cpu/real time for bwc: 41316.1/7250.32
PID16191 2020-04-02 15:26:36,197 Info:Linear Algebra: Aggregate statistics:
PID16191 2020-04-02 15:26:36,197 Info:Linear Algebra: Krylov: WCT time 4594.58, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (67072 iterations)
PID16191 2020-04-02 15:26:36,197 Info:Linear Algebra: Lingen CPU time 261.27, WCT time 49.24
PID16191 2020-04-02 15:26:36,197 Info:Linear Algebra: Mksol: WCT time 2497.24, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (32768 iterations)
PID16191 2020-04-02 15:26:36,197 Info:Quadratic Characters: Total cpu/real time for characters: 69.69/21.2795
PID16191 2020-04-02 15:26:36,197 Info:Square Root: Total cpu/real time for sqrt: 587.1/133.462
PID16191 2020-04-02 15:26:36,197 Info:HTTP server: Shutting down HTTP server
PID16191 2020-04-02 15:26:36,533 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.0615e+06/18728

CADO-NFS

8335306956878443206382065849242136256225779897302914882396134726629243856105568998309028532102439504304155796251902683362908402829205210267343809806099277375780903300505947523<175>

4410529741770214524823378328384338758422872538174137153104191952102190073961101564957404342277265845971170344219823687617583653122308985246013581778210641491506444331888295010279421976455565195153446883<202>

39445200770439834874421575593857<32>

111814102999203337123036339653214842435913892941052750237744256825413474127940965644606461888937061081116685262732715128020475364662475291130833258610765501104795083454819<171>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3024439130
Step 1 took 5468ms
Step 2 took 1748ms
********** Factor found in step 2: 39445200770439834874421575593857
Found probable prime factor of 32 digits: 39445200770439834874421575593857
Composite cofactor ((10^215+10^107*45-1)/9/25873/97368829)/39445200770439834874421575593857 has 171 digits

157977441358497307203422195802074929427132565521894196283211024828571964340636835818010429891846905894117800729056413222983562905361228294827674810451161929610402195241886922369901114178559089969053325079959887<210>

2087309863892238377854306532475807531739252618408443533<55>

75684709822582055457353857519483088278288725396272788554447098477812241621018768271641672563409913692856655842406392524075437807536046984258851733709233739<155>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2610167040
Step 1 took 89273ms
Step 2 took 31391ms
********** Factor found in step 2: 2087309863892238377854306532475807531739252618408443533
Found probable prime factor of 55 digits: 2087309863892238377854306532475807531739252618408443533
Composite cofactor 75684709822582055457353857519483088278288725396272788554447098477812241621018768271641672563409913692856655842406392524075437807536046984258851733709233739 has 155 digits

GMP-ECM 6.3

15873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873023015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873<218>

1093207976270064033421345181721658081364225380496797979836236766434631019520438105108432067476043<97>
14519667087660027425782697148863737733581879258249005332463066836630859701385873852129206407777354216450717259125335115811<122>

prp97 factor: 1093207976270064033421345181721658081364225380496797979836236766434631019520438105108432067476043
prp122 factor: 14519667087660027425782697148863737733581879258249005332463066836630859701385873852129206407777354216450717259125335115811

ggnfs-lasieve4I14e on the NFS@Home grid + msieve

240344172855529117696541447352608935996346768572595957411012570000240344172855529117696541447352608935996346769654144735260893599634676857259595741101257000024034417285552911769654144735260893599634676857259595741101257<219>

6057290557523585047382285795401796705370112461926361423400392691695806957401619933721097<88>
39678494959599484016144045673003983141494813031672705066947547595696843555910039697381512823913421767968721725339393629571134809281<131>

Number: n
N=240344172855529117696541447352608935996346768572595957411012570000240344172855529117696541447352608935996346769654144735260893599634676857259595741101257000024034417285552911769654144735260893599634676857259595741101257
  ( 219 digits)
SNFS difficulty: 223 digits.
Divisors found:

Tue Jun 11 12:42:58 2019  p88 factor: 6057290557523585047382285795401796705370112461926361423400392691695806957401619933721097
Tue Jun 11 12:42:58 2019  p131 factor: 39678494959599484016144045673003983141494813031672705066947547595696843555910039697381512823913421767968721725339393629571134809281
Tue Jun 11 12:42:58 2019  elapsed time 06:35:02 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.124).
Factorization parameters were as follows:
#
# N = 10^223+45x10^111-1 = 1(111)61(111)
#
n: 240344172855529117696541447352608935996346768572595957411012570000240344172855529117696541447352608935996346769654144735260893599634676857259595741101257000024034417285552911769654144735260893599634676857259595741101257
m: 10000000000000000000000000000000000000
deg: 6
c6: 10
c3: 45
c0: -1
skew: 0.68
# Murphy_E = 2.868e-12
type: snfs
lss: 1
rlim: 36000000
alim: 36000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 36000000/36000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 65200000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 12560135 hash collisions in 70414076 relations (59590019 unique)
Msieve: matrix is 3900788 x 3901014 (1362.6 MB)

Sieving start time: 2019/06/09 23:16:03
Sieving end time  : 2019/06/11 06:05:42

Total sieving time: 30hrs 49min 39secs.

Total relation processing time: 6hrs 0min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 59sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,36000000,36000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.040000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284148K/16703460K available (12300K kernel code, 2474K rwdata, 4276K rodata, 2412K init, 2416K bss, 419312K reserved, 0K cma-reserved)
[    0.072560] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.67 BogoMIPS (lpj=11977356)
[    0.070215] smpboot: Total of 16 processors activated (95818.84 BogoMIPS)

399677055735767880241986365107270318399784746941992117596482909401238662284896411505534872812766163740258144968275418242301395854733852343956874999922530499914315384595065260825083849471163239741475859<201>

48326457077308018238902290165924238603302853522145135005991770198454285074596510640715387688632324848855264601762017819963380818899455911416810372819231938095199636328047396286084787<182>

3812559846376208324574412291863865154286577364973823249314156532945783134937563365276405457996267795079612504986467646245906138198324799985734080160010968302842274906548445100170785759819781013876009446106677683<211>

14980689282165688622444987334046170267496777<44>

254498292739774672608135729235756260159955849200473349345821824609583190484448895915275093626572048554799554275720315253591385420870845657837687099835635909792430429979<168>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4171548017
Step 1 took 403522ms
Step 2 took 105534ms
********** Factor found in step 2: 14980689282165688622444987334046170267496777
Found probable prime factor of 44 digits: 14980689282165688622444987334046170267496777

10601831272280618028417550058366516238807896820649408651123181593023348460981701326761036338817227855056743954816983855191383458049766446914072355974658998976209064109096142829034292655280852326059213849204299<209>

292968871313228533566412919028147506039400846646414486289942044322532556137699976221528754625690472258771324926039272415625517260867641916291507306858831360695046206873167557274270076910820398137239445360019409085277241<219>

1019851563750270168115898346909037196944114880161577775129091477980152510837556786980874200230356684977276876467811806081160590164416081874975575300391735079403774457785491250018129576215649839<193>

13365943338244530973608325255361569892497<41>
76302251022726272190695730160181303132494969210173224698026308702548171427659654272230182979633381139347008124151217554670202816851131132958455347165887<152>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=771165450
Step 1 took 90039ms
Step 2 took 31497ms
********** Factor found in step 2: 13365943338244530973608325255361569892497
Found probable prime factor of 41 digits: 13365943338244530973608325255361569892497

1601564338493079812293753758451514445108895909483418977920470773539358112906013206645889977656073184238209355205936110292038972425552288919332044485751383605343148210101187463405955930090334597594748856159839023776291<217>

129019402347509146646755272152803112703102760724427930693406789449504461913095776864346792372841402787707392407761508494154183647200605834041314316149894938711329125601140936344032174158638130088885236134865940601<213>

31047404505550644020230762934861911216421<41>

4155561613030909022642609410950450232175219573199193615160523754329096344779597739459576368515484585292579104287081729884625981941552338044695228503835878254182577865200581<172>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3926762850
Step 1 took 471188ms
Step 2 took 111571ms
********** Factor found in step 2: 31047404505550644020230762934861911216421
Found probable prime factor of 41 digits: 31047404505550644020230762934861911216421

4706470587226915383731372486265342269327135658975124480905139913946003018366059700326055524573944891117211422827177564713023640501687483525803682891579362411511922082775178566511384524819471453635581032602732130210347<217>

2348083750349770593801812270736842602700307059938030214550241658158120024767238948375363027724687237415769080887089173078699241705088112795406106442008483965137824301039783388801823273283426346604128825892882175881681<217>

120334065202404638562975822113986013<36>

19513042681639984841869595669781213962595106349399498855608776806305528737525222264906254261553218606089711441495943394669618779137274423413849857234945592508433251435743510453538437<182>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1082504144
Step 1 took 6257ms
Step 2 took 2860ms
********** Factor found in step 2: 120334065202404638562975822113986013
Found probable prime factor of 36 digits: 120334065202404638562975822113986013
Composite cofactor ((10^245+10^122*45-1)/9/499/1579/6005666777835518103911)/120334065202404638562975822113986013 has 182 digits

677875167972632530764060628936833653906388343477090603318151510413518511866833398094332635656583168523244942176415011835286976523184241835388530152192269408886614301402750428663675581692833621349023589<201>

50344862306801590897648894930272365705079796606756280521572773498464481699642551477621708704626692845995066203493933444092053063484871368876806121935256507073453154105623521119669737703267381563711423249257413280974676534259678799778482605850073<245>

1058314134576003349770157576757398261341275637591655186457355903095338293154242250572586542471071<97>
47570811597419943430756398431048875252430079438673794780755089544997090197565725745187114326495767160629829316527724400223086541540148348903597430663<149>

Sieving was completed by NFS@home (~1 week).
Filtering, linear algebra and square root by Dmitry Domanov.
-------------
Mon Jan 16 16:00:40 2017  Msieve v. 1.52 (SVN exported)
Mon Jan 16 16:00:40 2017  random seeds: 66c9a30a 53abda27
Mon Jan 16 16:00:40 2017  factoring 50344862306801590897648894930272365705079796606756280521572773498464481699642551477621708704626692845995066203493933444092053063484871368876806121935256507073453154105623521119669737703267381563711423249257413280974676534259678799778482605850073 (245 digits)
Mon Jan 16 16:00:44 2017  searching for 15-digit factors
Mon Jan 16 16:00:48 2017  commencing number field sieve (245-digit input)
Mon Jan 16 16:00:48 2017  R0: -100000000000000000000000000000000000000000
Mon Jan 16 16:00:48 2017  R1: 1
Mon Jan 16 16:00:48 2017  A0: -1
Mon Jan 16 16:00:48 2017  A1: 0
Mon Jan 16 16:00:48 2017  A2: 0
Mon Jan 16 16:00:48 2017  A3: 450
Mon Jan 16 16:00:48 2017  A4: 0
Mon Jan 16 16:00:48 2017  A5: 0
Mon Jan 16 16:00:48 2017  A6: 1000
Mon Jan 16 16:00:48 2017  skew 1.00, size 2.694e-12, alpha -0.742, combined = 2.382e-13 rroots = 2
Mon Jan 16 16:00:48 2017  
Mon Jan 16 16:00:48 2017  commencing relation filtering
Mon Jan 16 16:00:48 2017  setting target matrix density to 130.0
Mon Jan 16 16:00:48 2017  estimated available RAM is 96649.3 MB
Mon Jan 16 16:00:48 2017  commencing duplicate removal, pass 1
Mon Jan 16 17:39:32 2017  skipped 550 relations with b > 2^32
Mon Jan 16 17:39:32 2017  found 57497047 hash collisions in 248700732 relations
Mon Jan 16 17:40:04 2017  added 1217887 free relations
Mon Jan 16 17:40:04 2017  commencing duplicate removal, pass 2
Mon Jan 16 18:24:37 2017  found 62775992 duplicates and 187142627 unique relations
Mon Jan 16 18:24:37 2017  memory use: 1449.5 MB
Mon Jan 16 18:24:37 2017  reading ideals above 720000
Mon Jan 16 18:24:38 2017  commencing singleton removal, initial pass
Mon Jan 16 19:57:03 2017  memory use: 5512.0 MB
Mon Jan 16 19:57:03 2017  reading all ideals from disk
Mon Jan 16 19:58:30 2017  memory use: 7393.0 MB
Mon Jan 16 19:59:13 2017  keeping 172985490 ideals with weight <= 200, target excess is 982034
Mon Jan 16 19:59:58 2017  commencing in-memory singleton removal
Mon Jan 16 20:00:28 2017  begin with 187142627 relations and 172985490 unique ideals
Mon Jan 16 20:08:23 2017  reduce to 117202362 relations and 95491628 ideals in 14 passes
Mon Jan 16 20:08:23 2017  max relations containing the same ideal: 155
Mon Jan 16 20:10:12 2017  removing 11068189 relations and 9068189 ideals in 2000000 cliques
Mon Jan 16 20:10:19 2017  commencing in-memory singleton removal
Mon Jan 16 20:10:37 2017  begin with 106134173 relations and 95491628 unique ideals
Mon Jan 16 20:13:12 2017  reduce to 105388612 relations and 85661947 ideals in 8 passes
Mon Jan 16 20:13:12 2017  max relations containing the same ideal: 145
Mon Jan 16 20:14:36 2017  removing 8383258 relations and 6383258 ideals in 2000000 cliques
Mon Jan 16 20:14:42 2017  commencing in-memory singleton removal
Mon Jan 16 20:14:58 2017  begin with 97005354 relations and 85661947 unique ideals
Mon Jan 16 20:16:59 2017  reduce to 96513882 relations and 78777817 ideals in 7 passes
Mon Jan 16 20:16:59 2017  max relations containing the same ideal: 142
Mon Jan 16 20:18:34 2017  removing 7561855 relations and 5561855 ideals in 2000000 cliques
Mon Jan 16 20:18:41 2017  commencing in-memory singleton removal
Mon Jan 16 20:18:57 2017  begin with 88952027 relations and 78777817 unique ideals
Mon Jan 16 20:22:00 2017  reduce to 88519543 relations and 72775027 ideals in 8 passes
Mon Jan 16 20:22:00 2017  max relations containing the same ideal: 135
Mon Jan 16 20:23:21 2017  removing 7132992 relations and 5132992 ideals in 2000000 cliques
Mon Jan 16 20:23:26 2017  commencing in-memory singleton removal
Mon Jan 16 20:23:41 2017  begin with 81386551 relations and 72775027 unique ideals
Mon Jan 16 20:25:36 2017  reduce to 80981119 relations and 67228328 ideals in 7 passes
Mon Jan 16 20:25:36 2017  max relations containing the same ideal: 127
Mon Jan 16 20:26:52 2017  removing 6858966 relations and 4858966 ideals in 2000000 cliques
Mon Jan 16 20:26:57 2017  commencing in-memory singleton removal
Mon Jan 16 20:27:09 2017  begin with 74122153 relations and 67228328 unique ideals
Mon Jan 16 20:28:33 2017  reduce to 73729750 relations and 61968281 ideals in 7 passes
Mon Jan 16 20:28:33 2017  max relations containing the same ideal: 119
Mon Jan 16 20:29:36 2017  removing 6660502 relations and 4660502 ideals in 2000000 cliques
Mon Jan 16 20:29:40 2017  commencing in-memory singleton removal
Mon Jan 16 20:29:50 2017  begin with 67069248 relations and 61968281 unique ideals
Mon Jan 16 20:31:00 2017  reduce to 66670935 relations and 56900208 ideals in 6 passes
Mon Jan 16 20:31:00 2017  max relations containing the same ideal: 108
Mon Jan 16 20:31:54 2017  removing 6515458 relations and 4515458 ideals in 2000000 cliques
Mon Jan 16 20:31:59 2017  commencing in-memory singleton removal
Mon Jan 16 20:32:08 2017  begin with 60155477 relations and 56900208 unique ideals
Mon Jan 16 20:33:20 2017  reduce to 59746188 relations and 51965028 ideals in 7 passes
Mon Jan 16 20:33:20 2017  max relations containing the same ideal: 104
Mon Jan 16 20:34:20 2017  removing 6406743 relations and 4406743 ideals in 2000000 cliques
Mon Jan 16 20:34:26 2017  commencing in-memory singleton removal
Mon Jan 16 20:34:37 2017  begin with 53339445 relations and 51965028 unique ideals
Mon Jan 16 20:36:13 2017  reduce to 52903009 relations and 47109397 ideals in 7 passes
Mon Jan 16 20:36:13 2017  max relations containing the same ideal: 93
Mon Jan 16 20:37:00 2017  removing 6336948 relations and 4336948 ideals in 2000000 cliques
Mon Jan 16 20:37:05 2017  commencing in-memory singleton removal
Mon Jan 16 20:37:12 2017  begin with 46566061 relations and 47109397 unique ideals
Mon Jan 16 20:38:02 2017  reduce to 46078742 relations and 42269436 ideals in 7 passes
Mon Jan 16 20:38:02 2017  max relations containing the same ideal: 84
Mon Jan 16 20:38:42 2017  removing 6310884 relations and 4310884 ideals in 2000000 cliques
Mon Jan 16 20:38:46 2017  commencing in-memory singleton removal
Mon Jan 16 20:38:51 2017  begin with 39767858 relations and 42269436 unique ideals
Mon Jan 16 20:40:19 2017  reduce to 39194151 relations and 37364064 ideals in 9 passes
Mon Jan 16 20:40:19 2017  max relations containing the same ideal: 73
Mon Jan 16 20:40:59 2017  removing 2690353 relations and 1999426 ideals in 690927 cliques
Mon Jan 16 20:41:04 2017  commencing in-memory singleton removal
Mon Jan 16 20:41:11 2017  begin with 36503798 relations and 37364064 unique ideals
Mon Jan 16 20:42:06 2017  reduce to 36377838 relations and 35236727 ideals in 6 passes
Mon Jan 16 20:42:06 2017  max relations containing the same ideal: 72
Mon Jan 16 20:42:57 2017  relations with 0 large ideals: 37240
Mon Jan 16 20:42:57 2017  relations with 1 large ideals: 25332
Mon Jan 16 20:42:57 2017  relations with 2 large ideals: 306701
Mon Jan 16 20:42:57 2017  relations with 3 large ideals: 1701910
Mon Jan 16 20:42:57 2017  relations with 4 large ideals: 5040141
Mon Jan 16 20:42:57 2017  relations with 5 large ideals: 8852377
Mon Jan 16 20:42:57 2017  relations with 6 large ideals: 9616775
Mon Jan 16 20:42:57 2017  relations with 7+ large ideals: 10797362
Mon Jan 16 20:42:57 2017  commencing 2-way merge
Mon Jan 16 20:43:43 2017  reduce to 24586976 relation sets and 23445865 unique ideals
Mon Jan 16 20:43:43 2017  commencing full merge
Mon Jan 16 21:02:57 2017  memory use: 2986.6 MB
Mon Jan 16 21:03:02 2017  found 10597461 cycles, need 10564065
Mon Jan 16 21:03:09 2017  weight of 10564065 cycles is about 1373648656 (130.03/cycle)
Mon Jan 16 21:03:09 2017  distribution of cycle lengths:
Mon Jan 16 21:03:09 2017  1 relations: 297960
Mon Jan 16 21:03:09 2017  2 relations: 484429
Mon Jan 16 21:03:09 2017  3 relations: 618141
Mon Jan 16 21:03:09 2017  4 relations: 673346
Mon Jan 16 21:03:09 2017  5 relations: 720169
Mon Jan 16 21:03:09 2017  6 relations: 734931
Mon Jan 16 21:03:09 2017  7 relations: 737022
Mon Jan 16 21:03:09 2017  8 relations: 721845
Mon Jan 16 21:03:09 2017  9 relations: 693715
Mon Jan 16 21:03:09 2017  10+ relations: 4882507
Mon Jan 16 21:03:09 2017  heaviest cycle: 28 relations
Mon Jan 16 21:03:15 2017  commencing cycle optimization
Mon Jan 16 21:03:53 2017  start with 103302259 relations
Mon Jan 16 21:12:07 2017  pruned 5414276 relations
Mon Jan 16 21:12:08 2017  memory use: 2569.5 MB
Mon Jan 16 21:12:08 2017  distribution of cycle lengths:
Mon Jan 16 21:12:08 2017  1 relations: 297960
Mon Jan 16 21:12:08 2017  2 relations: 498114
Mon Jan 16 21:12:08 2017  3 relations: 645936
Mon Jan 16 21:12:08 2017  4 relations: 705997
Mon Jan 16 21:12:08 2017  5 relations: 762221
Mon Jan 16 21:12:08 2017  6 relations: 778142
Mon Jan 16 21:12:08 2017  7 relations: 783370
Mon Jan 16 21:12:08 2017  8 relations: 765594
Mon Jan 16 21:12:08 2017  9 relations: 735404
Mon Jan 16 21:12:08 2017  10+ relations: 4591327
Mon Jan 16 21:12:08 2017  heaviest cycle: 28 relations
Mon Jan 16 21:12:34 2017  RelProcTime: 18706
Mon Jan 16 21:12:34 2017  elapsed time 05:11:54

Tue Jan 17 02:23:39 2017  
Tue Jan 17 02:23:39 2017  
Tue Jan 17 02:23:39 2017  Msieve v. 1.52 (SVN exported)
Tue Jan 17 02:23:39 2017  random seeds: 86921e4e c7e8109a
Tue Jan 17 02:23:39 2017  factoring 50344862306801590897648894930272365705079796606756280521572773498464481699642551477621708704626692845995066203493933444092053063484871368876806121935256507073453154105623521119669737703267381563711423249257413280974676534259678799778482605850073 (245 digits)
Tue Jan 17 02:23:42 2017  searching for 15-digit factors
Tue Jan 17 02:23:45 2017  commencing number field sieve (245-digit input)
Tue Jan 17 02:23:45 2017  R0: -100000000000000000000000000000000000000000
Tue Jan 17 02:23:45 2017  R1: 1
Tue Jan 17 02:23:45 2017  A0: -1
Tue Jan 17 02:23:45 2017  A1: 0
Tue Jan 17 02:23:45 2017  A2: 0
Tue Jan 17 02:23:45 2017  A3: 450
Tue Jan 17 02:23:45 2017  A4: 0
Tue Jan 17 02:23:45 2017  A5: 0
Tue Jan 17 02:23:45 2017  A6: 1000
Tue Jan 17 02:23:45 2017  skew 1.00, size 2.694e-12, alpha -0.742, combined = 2.382e-13 rroots = 2
Tue Jan 17 02:23:45 2017  
Tue Jan 17 02:23:45 2017  commencing linear algebra
Tue Jan 17 02:23:50 2017  read 10564065 cycles
Tue Jan 17 02:24:28 2017  cycles contain 35823223 unique relations
Tue Jan 17 03:12:52 2017  read 35823223 relations
Tue Jan 17 03:15:08 2017  using 20 quadratic characters above 2147481894
Tue Jan 17 03:19:38 2017  building initial matrix
Tue Jan 17 03:34:30 2017  memory use: 4841.0 MB
Tue Jan 17 03:34:46 2017  read 10564065 cycles
Tue Jan 17 03:34:50 2017  matrix is 10563888 x 10564065 (5279.0 MB) with weight 1543526850 (146.11/col)
Tue Jan 17 03:34:50 2017  sparse part has weight 1267658722 (120.00/col)
Tue Jan 17 03:39:42 2017  filtering completed in 2 passes
Tue Jan 17 03:39:47 2017  matrix is 10563802 x 10563979 (5279.0 MB) with weight 1543523676 (146.11/col)
Tue Jan 17 03:39:47 2017  sparse part has weight 1267657797 (120.00/col)
Tue Jan 17 03:41:53 2017  matrix starts at (0, 0)
Tue Jan 17 03:41:57 2017  matrix is 10563802 x 10563979 (5279.0 MB) with weight 1543523676 (146.11/col)
Tue Jan 17 03:41:57 2017  sparse part has weight 1267657797 (120.00/col)
Tue Jan 17 03:41:57 2017  saving the first 48 matrix rows for later
Tue Jan 17 03:42:00 2017  matrix includes 64 packed rows
Tue Jan 17 03:42:04 2017  matrix is 10563754 x 10563979 (5094.5 MB) with weight 1327922337 (125.70/col)
Tue Jan 17 03:42:04 2017  sparse part has weight 1229858102 (116.42/col)
Tue Jan 17 03:42:04 2017  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Tue Jan 17 03:43:37 2017  commencing Lanczos iteration (12 threads)
Tue Jan 17 03:43:37 2017  memory use: 4368.6 MB
Tue Jan 17 03:44:18 2017  linear algebra at 0.0%, ETA 75h13m
Tue Jan 17 03:44:31 2017  checkpointing every 150000 dimensions
Sat Jan 21 08:46:47 2017  lanczos halted after 167055 iterations (dim = 10563754)
Sat Jan 21 08:47:02 2017  recovered 36 nontrivial dependencies
Sat Jan 21 08:47:02 2017  BLanczosTime: 368597
Sat Jan 21 08:47:02 2017  elapsed time 102:23:23
Sat Jan 21 11:06:38 2017  
Sat Jan 21 11:06:38 2017  
Sat Jan 21 11:06:38 2017  Msieve v. 1.52 (SVN exported)
Sat Jan 21 11:06:38 2017  random seeds: 1e035030 9ae1e351
Sat Jan 21 11:06:38 2017  factoring 50344862306801590897648894930272365705079796606756280521572773498464481699642551477621708704626692845995066203493933444092053063484871368876806121935256507073453154105623521119669737703267381563711423249257413280974676534259678799778482605850073 (245 digits)
Sat Jan 21 11:06:42 2017  searching for 15-digit factors
Sat Jan 21 11:06:46 2017  commencing number field sieve (245-digit input)
Sat Jan 21 11:06:46 2017  R0: -100000000000000000000000000000000000000000
Sat Jan 21 11:06:46 2017  R1: 1
Sat Jan 21 11:06:46 2017  A0: -1
Sat Jan 21 11:06:46 2017  A1: 0
Sat Jan 21 11:06:46 2017  A2: 0
Sat Jan 21 11:06:46 2017  A3: 450
Sat Jan 21 11:06:46 2017  A4: 0
Sat Jan 21 11:06:46 2017  A5: 0
Sat Jan 21 11:06:46 2017  A6: 1000
Sat Jan 21 11:06:46 2017  skew 1.00, size 2.694e-12, alpha -0.742, combined = 2.382e-13 rroots = 2
Sat Jan 21 11:06:46 2017  
Sat Jan 21 11:06:46 2017  commencing square root phase
Sat Jan 21 11:06:46 2017  reading relations for dependency 1
Sat Jan 21 11:06:53 2017  read 5277335 cycles
Sat Jan 21 11:07:14 2017  cycles contain 17903102 unique relations
Sat Jan 21 12:04:41 2017  read 17903102 relations
Sat Jan 21 12:07:44 2017  multiplying 17903102 relations
Sat Jan 21 12:43:54 2017  multiply complete, coefficients have about 625.97 million bits
Sat Jan 21 12:43:58 2017  initial square root is modulo 412967
Sat Jan 21 13:20:57 2017  sqrtTime: 8051
Sat Jan 21 13:20:57 2017  prp97 factor: 1058314134576003349770157576757398261341275637591655186457355903095338293154242250572586542471071
Sat Jan 21 13:20:57 2017  prp149 factor: 47570811597419943430756398431048875252430079438673794780755089544997090197565725745187114326495767160629829316527724400223086541540148348903597430663
Sat Jan 21 13:20:57 2017  elapsed time 02:14:19

156279923228712255246110021986512616212675691176648546624041677986283623729822031014063902049898551505170859109228583208344046751654184871551005473078065384848351629901908135859622767443316936092211329844231<207>

162606619571639056556751650919353794542448781048533547539435489670525488670142012936009381856088442287574648168595578253276609001088438901<138>

1111058900647951574187488177302897142447170620703789664673857092351<67>
146352834648828704724152723339452676361341171843371240863881241231079051<72>

N=162606619571639056556751650919353794542448781048533547539435489670525488670142012936009381856088442287574648168595578253276609001088438901
  ( 138 digits)
Divisors found:
 r1=1111058900647951574187488177302897142447170620703789664673857092351 (pp67)
 r2=146352834648828704724152723339452676361341171843371240863881241231079051 (pp72)
Version: Msieve-1.40
Total time: 320.23 hours.
Scaled time: 619.00 units (timescale=1.933).
Factorization parameters were as follows:
# Murphy_E = 3.132e-11, selected by Erik Branger
n: 162606619571639056556751650919353794542448781048533547539435489670525488670142012936009381856088442287574648168595578253276609001088438901
Y0: -524307967661641297184552124
Y1: 1053765389585323
c0: -620646559619140455194247401914749485
c1: 4337771456682797215359907460591
c2: 129410218631981470243391
c3: -675903338871116387
c4: -6667714398
c5: 4104
skew: 5239239.81
type: gnfs
# selected mechanically
rlim: 15300000
alim: 15300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
qintsize: 400000
Factor base limits: 15300000/15300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [7650000, 12050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1890355 x 1890580
Total sieving time: 315.18 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 4.05 hours.
Time per square root: 0.77 hours.
Prototype def-par.txt line would be:
gnfs,137,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,15300000,15300000,28,28,55,55,2.6,2.6,100000
total time: 320.23 hours.
 --------- CPU info (if available) ----------

40205711507774189659062370295673521142226603421906839288967641091060216307578245430619966934153892531370080492641091605273022778564700672002336559408275084022957979847599385276263554084611171968409910530547120605787324885799199316867<233>

126427562615447103298800727730586473342770168937430892296650661098003919780306085000831285838501374149471188994272902587913591915953302722328182758541855723274307805428040293725530552681587634135684531606634375627<213>

1065609571407595278056159645162844304467525797098449201907594707401581044487336597512390354232600492660493009945569829763598737144237767774428343928647050009287186901029576405942082489575139265361362506788930162681223632898497375314669148264422867530153<253>

16852167350985764008324828729991<32>
63232790727375649329234602138738871365585088873146924420193196771746225386275217417332356375908391278562975293812496624037479719392692196659797518740081615359589394139623202234327006517012043398765417529062184399249339983<221>

Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=1253330530
Step 1 took 2108ms
Step 2 took 832ms
********** Factor found in step 2: 16852167350985764008324828729991
Found probable prime factor of 32 digits: 16852167350985764008324828729991
Probable prime cofactor ((10^267+10^133*45-1)/9/7/17/23/28123/1354637)/16852167350985764008324828729991 has 221 digits

7812234155790607949621964829299681068938989138799059270806148502258453940598788564757793074983589025600044742438336244419644985961824229133195685808425783729009235341100093103523319347253081132199032609774692638853892691910704072261289<235>

2487753259184849635158659133550398556801159039272094822105441411005002723055074446329550730149807877786624825666394046495608732507046741171954215304611255547630278118661105642632622205942694706562263976537269492529747505389870568399057771375256419<247>

99900372260576830227126803170247981<35>
184171596890007987086092703271569177<36>

135212718209477516092058510424086823963988067252308802359024307956481604558194695107810085728745892168528356099702363613821763401744575690195480286878613065471261450712490242087<177>

Input number is (10^275+10^137*45-1)/9/43/28843/3601150742706874627381 (247 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3417948236
Step 1 took 22269ms
Step 2 took 14133ms
********** Factor found in step 2: 99900372260576830227126803170247981
Found probable prime factor of 35 digits: 99900372260576830227126803170247981
Composite cofactor ((10^275+10^137*45-1)/9/43/28843/3601150742706874627381)/99900372260576830227126803170247981 has 212 digits


Input number is (10^275+10^137*45-1)/9/43/28843/3601150742706874627381 (247 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2790337437
Step 1 took 21781ms
Step 2 took 14089ms
********** Factor found in step 2: 184171596890007987086092703271569177
Found probable prime factor of 36 digits: 184171596890007987086092703271569177
Composite cofactor ((10^275+10^137*45-1)/9/43/28843/3601150742706874627381)/184171596890007987086092703271569177 has 212 digits

135212718209477516092058510424086823963988067252308802359024307956481604558194695107810085728745892168528356099702363613821763401744575690195480286878613065471261450712490242087<177>

10132051432550393994875428904942088851172190285408588664760512801<65>
13345048543189479687252926882662751798299079624335989453809006160482858058651096480825823809487099049912338108487<113>

YAFU Version 2.12
Built with GCC 13
Using GMP-ECM 7.0.6, Powered by GMP 6.2.1
Detected 12th Gen Intel(R) Core(TM) i3-12100
Detected L1 = 49152 bytes, L2 = 12582912 bytes, CL = 64 bytes
CPU features enabled: SSE41 AVX2 BMI2 
Using 1 random witness for Rabin-Miller PRP checks
Cached 664579 primes; max prime is 9999991
Parsed yafu.ini from /home/mehrati2019/Documents/Math/yafu2.12/test-bunch

===============================================================
======= Welcome to YAFU (Yet Another Factoring Utility) =======
=======             bbuhrow@gmail.com                   =======
=======     Type help at any time, or quit to quit      =======
===============================================================

ecm: 211/8704 curves on C177, B1=43M, B2=gmp-ecm default, ETA: 45.42 hrs  
ecm: found prp65 factor = 10132051432550393994875428904942088851172190285408588664760512801
ecm: 218/8704 curves on C113, B1=43M, B2=gmp-ecm default, ETA: 45.17 hrs 


***factors found***

P65 = 10132051432550393994875428904942088851172190285408588664760512801

***co-factor***
P113 = 13345048543189479687252926882662751798299079624335989453809006160482858058651096480825823809487099049912338108487

ans = 13345048543189479687252926882662751798299079624335989453809006160482858058651096480825823809487099049912338108487

factor.log:
12/06/24 10:25:28, prp65 = 10132051432550393994875428904942088851172190285408588664760512801 (curve 212 stg2 B1=43000000 sigma=1927732885 thread=0)
12/06/24 10:26:46, Finished 218 curves using GMP-ECM method on C177 input, B1=43M, B2=gmp-ecm default

yafu 2.12

Ubuntu 24.04; i3-12100; 64GB DDR4

7312721900915764590226037543845428017747382514817109323927861546113685243338258317125167236320972375396141498711833154639402324569817465109034913162780463786874917064688107802759038077465232417384253123523859861399652365466816434394108696082581<244>

2868963635630119482863207243<28>

2548907141972069137105065388540513115530742221857368282659649358325785887090235320031108354498677649620430497902410607449041946286385978889810081209846032455974172987040031263406723564537506621990195161709072905611167<217>

Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=597707450
Step 1 took 1836ms
Step 2 took 780ms
********** Factor found in step 2: 2868963635630119482863207243
Found probable prime factor of 28 digits: 2868963635630119482863207243
Composite cofactor ((10^277+10^138*45-1)/9/3/727/9105553/7650968971081813474367)/2868963635630119482863207243 has 217 digits

12144618112483452957821741295344967877485092481266926561494273812559964051930387048979244847645765778895082644126255449897377976949514822511871364204952575266270752116199706100241677900438420713860652651777364860761953340377211838573736048869943284633414702274686972468150739<275>

255909604993828559033766461537119918781617<42>

47456671713343190091495642868340514905828945099436208798943672735279877326828378191083829776300391715909652759513435515327458863578624857990652947971444591334327158661124199377761449996239603941175552171757789739498602213607059427267<233>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=913671589
Step 1 took 28234ms
********** Factor found in step 1: 255909604993828559033766461537119918781617
Found probable prime factor of 42 digits: 255909604993828559033766461537119918781617
Composite cofactor ((10^279+10^139*45-1)/9/7/1307)/255909604993828559033766461537119918781617 has 233 digits

2474898703095241195402277822469869793077107570531421037612056981633147852569758588131944560656406671660363826052652445795267915621376803210494678859759016841322606923372262829135067750907611991072605785723201483830071254365553947235208653003778999799105790043260915017969523<274>

159042402361850544367973024466969782114203746130835719232186330994456877496775760811732611333246986350327842159486162154835775033167454063891543835400296027627450382177548967226900479139268422071640525772736930743427753116241405182973464137305475414605893226742262803144438979<276>

9680575917109587932722894553<28>

16429022789930993082233907491851911077457935868366949538674711252873837572441029831729028514235361349732838943757005599111380141804036861342993829412622615838661966563281637681701270924013051140486687413382168265257818758576669569452218297654984443<248>

Using B1=50000, B2=12746592, polynomial x^2, sigma=2185553564
Step 1 took 472ms
Step 2 took 244ms
********** Factor found in step 2: 9680575917109587932722894553
Found probable prime factor of 28 digits: 9680575917109587932722894553
Composite cofactor ((10^285+10^142*45-1)/9/698625709)/9680575917109587932722894553 has 248 digits

381659596167124223850013749480396659456865360290040275234420201015305841861962668550720306907862366111633111197991769378449573640061317513860801117693444803379048959236882744053640768998632542263507406556407079965445444849393318839280518263256671284393462824338023424092059<273>

112216609740256878438931751693183889825566406094454914631570199505678709747905960950928046819993500016269865313912672322968717639081676095400479070844684740256522480711798136187817848855069976411<195>

15830649597979950316484503989721249073<38>

7088566331136287332941928650368661281935175483167038809400995102119420071898293834034936871933060817816340564458030103485562833449682941064159917327711007307<157>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1742660767
Step 1 took 16269ms
Step 2 took 11033ms
********** Factor found in step 2: 15830649597979950316484503989721249073
Found probable prime factor of 38 digits: 15830649597979950316484503989721249073
Composite cofactor ((10^289+10^144*45-1)/9/3/67/1297/29123/33751/63913/80110217443/3602966156510566733/1549765265241146647/1351569362859415082691022369)/15830649597979950316484503989721249073 has 157 digits

7088566331136287332941928650368661281935175483167038809400995102119420071898293834034936871933060817816340564458030103485562833449682941064159917327711007307<157>

112045998427219090871953040117667258301569847152699559565607504451497301<72>
63264787949930725243445414832953024183897855766018170835974420877209157378834269266207<86>

Mon Sep 24 12:07:02 2018  p72 factor: 112045998427219090871953040117667258301569847152699559565607504451497301
Mon Sep 24 12:07:02 2018  p86 factor: 63264787949930725243445414832953024183897855766018170835974420877209157378834269266207

ggnfs-lasieve4I14e on the NFS@Home grid + msieve

814940707266785803817030914375984565838461708771854782167452258231754238805403581812034564646336013197937796029048198731071711036178380093716163687211749219597730376473369113706281082428659584728517962475167164864478925834799503917238056074861668616478995921917973254208823<273>

1132247641916259741053609401<28>

719754828446848078778409957604175547892289643712260232566315374374910851443610001014692570101201159659011218738063175690215143621391580020957550493105099824556602981770638632003653193406706459399627856510911862337155260335372193989736034186752623<246>

Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=1706272733
Step 1 took 2392ms
Step 2 took 908ms
********** Factor found in step 2: 1132247641916259741053609401
Found probable prime factor of 28 digits: 1132247641916259741053609401
Composite cofactor ((10^293+10^146*45-1)/9/17/29/31/892119157496779)/1132247641916259741053609401 has 246 digits

14489119467849031521594175193053335655286698732208077125233397018427643034448390380047871754281460518021827237936426581033171038489584368924123018458149738919552914228281185980827930797020985407245788887602812822341369050794760144506899244787273293048820486469441<263>

166933514054367399217202430848069703497<39>

86795749492999784085009798856987407404911218512069106878561957723833854510262009416101327054814938234239655363440929293590481422647499419907425608889171515940307759635324183984380817586273336734254143131963551805836070455353<224>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3316322991
Step 1 took 24829ms
Step 2 took 15229ms
********** Factor found in step 2: 166933514054367399217202430848069703497
Found probable prime factor of 39 digits: 166933514054367399217202430848069703497
Composite cofactor ((10^295+10^147*45-1)/9/3/29/20116093/17150755889/2554873162229)/166933514054367399217202430848069703497 has 224 digits

30331065095303177710008274350877120079222072690203534148536290337965154421332812447671585499433682400241405988142313017395181846996222362724136934510284086757788921314368548581354503183908146216649223335753790629110459785530129394601714327303601881<248>

423245123549576839046688882030701555659734276484420752047582244531682641634079607315269116904124238095026842474064370789783377035333400417719138093209598420949809921832711160521528782941940279520776870151447840227471764322541742366750960237491270797996136563<258>