7837986571451952337344021664199398173461416743422190003615130300703792594977381173662233460335937902016270973969313815005514673204533423264391<142>

56012047933977242644746128635736463158657930621<47>
139933940296037326170860171696111127188198457902149369986513673643425230148449166105666454124371<96>

Number: 33337_153
N=7837986571451952337344021664199398173461416743422190003615130300703792594977381173662233460335937902016270973969313815005514673204533423264391
  ( 142 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=56012047933977242644746128635736463158657930621 (pp47)
 r2=139933940296037326170860171696111127188198457902149369986513673643425230148449166105666454124371 (pp96)
Version: GGNFS-0.77.1-20050930-k8
Total time: 23.71 hours.
Scaled time: 21.41 units (timescale=0.903).
Factorization parameters were as follows:
n: 7837986571451952337344021664199398173461416743422190003615130300703792594977381173662233460335937902016270973969313815005514673204533423264391
m: 2000000000000000000000000000000
c5: 125
c0: 44
skew: 1
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2400001)
Primes: RFBsize:176302, AFBsize:176309, largePrimes:5522255 encountered
Relations: rels:5355675, finalFF:397759
Max relations in full relation-set: 28
Initial matrix: 352677 x 397759 with sparse part having weight 36285588.
Pruned matrix : 338033 x 339860 with weight 27748899.
Total sieving time: 22.55 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.02 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 23.71 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1297k data, 196k init)
Calibrating delay using timer specific routine.. 4671.63 BogoMIPS (lpj=2335816)
Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334238)
Total of 2 processors activated (9340.10 BogoMIPS).

Core 2 Duo E6300@2.33GHz

3174790529927899534422665391360944333364806413078654198479087131608603674228467671965504741912997056441681538202948620630712819782034036503<139>

7544120729352931097852968698233932678745227<43>
48431736813392301590373185023279934003162249891<47>
8689132158836105024407698702203742306290102326679<49>

Number: n
N=3174790529927899534422665391360944333364806413078654198479087131608603674228467671965504741912997056441681538202948620630712819782034036503
  ( 139 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=7544120729352931097852968698233932678745227 (pp43)
 r2=48431736813392301590373185023279934003162249891 (pp47)
 r3=8689132158836105024407698702203742306290102326679 (pp49)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 35.18 hours.
Scaled time: 42.19 units (timescale=1.199).
Factorization parameters were as follows:
name: KA_3_153_7
n: 3174790529927899534422665391360944333364806413078654198479087131608603674228467671965504741912997056441681538202948620630712819782034036503
type: snfs
skew: 1
deg: 5
c5: 1
c0: 110
m: 10000000000000000000000000000000
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [1600000, 2800001)
Primes: RFBsize:230209, AFBsize:230648, largePrimes:7397308 encountered
Relations: rels:6898240, finalFF:534130
Max relations in full relation-set: 28
Initial matrix: 460921 x 534130 with sparse part having weight 38277702.
Pruned matrix : 408055 x 410423 with weight 26420103.
Total sieving time: 29.30 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 5.21 hours.
Total square root time: 0.49 hours, sqrts: 4.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.3,2.3,100000
total time: 35.18 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

15834129096538631981876151311557857936639270420692829139295670131179001593315499680760105008976521203731578626121888596331739869590239<134>

208670671770760497643092645164757469100993644951788309366799053839<66>
75880951367873792594180307042805485428254654408601835762623060247601<68>

Number: n
N=15834129096538631981876151311557857936639270420692829139295670131179001593315499680760105008976521203731578626121888596331739869590239
  ( 134 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=208670671770760497643092645164757469100993644951788309366799053839 (pp66)
 r2=75880951367873792594180307042805485428254654408601835762623060247601 (pp68)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 20.74 hours.
Scaled time: 28.29 units (timescale=1.364).
Factorization parameters were as follows:
name: KA_3_154_7
n: 15834129096538631981876151311557857936639270420692829139295670131179001593315499680760105008976521203731578626121888596331739869590239
skew: 1.62
deg: 5
c5: 1
c0: 11
m: 10000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 800001)
Primes: RFBsize:216816, AFBsize:216602, largePrimes:6531775 encountered
Relations: rels:6070085, finalFF:530729
Max relations in full relation-set: 28
Initial matrix: 433482 x 530729 with sparse part having weight 30061199.
Pruned matrix : 345492 x 347723 with weight 15473918.
Total sieving time: 18.60 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.83 hours.
Total square root time: 0.16 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 20.74 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

61493527594963435585105940425622344176908261835783977623937353322902951931684135308791965353024017933025951725442269952202949751501<131>

98546042989459507145454598033560826513496496641717463749658701161<65>
624008085251487858816186117499534910163524917199921025095545919941<66>

Number: 33337_160
N=61493527594963435585105940425622344176908261835783977623937353322902951931684135308791965353024017933025951725442269952202949751501
  ( 131 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=98546042989459507145454598033560826513496496641717463749658701161 (pp65)
 r2=624008085251487858816186117499534910163524917199921025095545919941 (pp66)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 24.41 hours.
Scaled time: 51.96 units (timescale=2.129).
Factorization parameters were as follows:
n: 61493527594963435585105940425622344176908261835783977623937353322902951931684135308791965353024017933025951725442269952202949751501
m: 100000000000000000000000000000000
c5: 1
c0: 11
skew: 1.62
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3400001)
Primes: RFBsize:283146, AFBsize:283048, largePrimes:5715875 encountered
Relations: rels:5844133, finalFF:739067
Max relations in full relation-set: 28
Initial matrix: 566258 x 739067 with sparse part having weight 45560931.
Pruned matrix : 423383 x 426278 with weight 27548907.
Total sieving time: 23.43 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.85 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 24.41 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405115)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.09 BogoMIPS).

Core 2 Quad Q6600

383531829659736005765621077922788434765907478295374100321404205450489861931970595643574521924764095540194512505080222201006312737689809245844169493077897<153>

4161801207038325803680462744351<31>
154736176694355509814594114434265558831989783897<48>
595563698951275492246179266439849085291671641089578658213681985453227855151<75>

GMP-ECM 5.0 [powered by GMP 4.1.2] [ECM]
Input number is 383531829659736005765621077922788434765907478295374100321404205450489861931970595643574521924764095540194512505080222201006312737689809245844169493077897 (153 digits)
Using B1=536000, B2=345265082, polynomial Dickson(3), sigma=1149398818
Step 1 took 9971ms
Step 2 took 7029ms
********** Factor found in step 2: 4161801207038325803680462744351
Found probable prime factor of 31 digits: 4161801207038325803680462744351
Composite cofactor 92155249753668515805069774853618530650531992960849125594638260650099015648789979128441694079227557758205130066181308303447 has 122 digits


Number: n
N=92155249753668515805069774853618530650531992960849125594638260650099015648789979128441694079227557758205130066181308303447
  ( 122 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=154736176694355509814594114434265558831989783897 (pp48)
 r2=595563698951275492246179266439849085291671641089578658213681985453227855151 (pp75)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 96.22 hours.
Scaled time: 115.08 units (timescale=1.196).
Factorization parameters were as follows:
name: KA_3_163_7

n: 92155249753668515805069774853618530650531992960849125594638260650099015648789979128441694079227557758205130066181308303447

# n: 383531829659736005765621077922788434765907478295374100321404205450489861931970595643574521924764095540194512505080222201006312737689809245844169493077897

type: snfs
skew: 0.43
deg: 5
c5: 1
c0: 110
m: 1000000000000000000000000000000000
rlim: 3600000
alim: 3600000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 3600001)
Primes: RFBsize:256726, AFBsize:257022, largePrimes:7802543 encountered
Relations: rels:7325962, finalFF:593422
Max relations in full relation-set: 28
Initial matrix: 513812 x 593422 with sparse part having weight 45665185.
Pruned matrix : 470389 x 473022 with weight 33187299.
Total sieving time: 88.29 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 7.43 hours.
Total square root time: 0.14 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3600000,3600000,28,28,48,48,2.5,2.5,100000
total time: 96.22 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

2355295388604294669648572183314730221423189911340492129466961410071358157729919347954433141504960864116536706486551542372736924805270377019388818022277<151>

251375332502629231539468126698454636637<39>
9369636094184618241793486374540111317162701410154625358284353734039880944057232414047815901279320321000606011721<112>

Number: n
N=2355295388604294669648572183314730221423189911340492129466961410071358157729919347954433141504960864116536706486551542372736924805270377019388818022277
  ( 151 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=251375332502629231539468126698454636637 (pp39)
 r2=9369636094184618241793486374540111317162701410154625358284353734039880944057232414047815901279320321000606011721 (pp112)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 48.70 hours.
Scaled time: 66.62 units (timescale=1.368).
Factorization parameters were as follows:
name: KA_3_164_7
n: 2355295388604294669648572183314730221423189911340492129466961410071358157729919347954433141504960864116536706486551542372736924805270377019388818022277
skew: 1.62
deg: 5
c5: 1
c0: 11
m: 1000000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 2000001)
Primes: RFBsize:250150, AFBsize:249887, largePrimes:7439713 encountered
Relations: rels:7043065, finalFF:634459
Max relations in full relation-set: 28
Initial matrix: 500101 x 634459 with sparse part having weight 42656542.
Pruned matrix : 388359 x 390923 with weight 24700758.
Total sieving time: 45.21 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 3.12 hours.
Total square root time: 0.11 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 48.70 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

185823766991360923710679129196544755596402591828367442331733798414239140090653102165527343177897437971975078078955898882605783639735498740459333307<147>

11678389683627973847213584321368447993233911399<47>
15911762839346654192692129977862432931562688321822699857420110352345615549508686305420162237407946893<101>

Number: n
N=185823766991360923710679129196544755596402591828367442331733798414239140090653102165527343177897437971975078078955898882605783639735498740459333307
  ( 147 digits)
SNFS difficulty: 170 digits.
Divisors found:

Sat Nov 29 17:02:34 2008  prp47 factor: 11678389683627973847213584321368447993233911399
Sat Nov 29 17:02:34 2008  prp101 factor: 15911762839346654192692129977862432931562688321822699857420110352345615549508686305420162237407946893
Sat Nov 29 17:02:34 2008  elapsed time 05:16:03 (Msieve 1.38)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 46.56 hours.
Scaled time: 60.72 units (timescale=1.304).
Factorization parameters were as follows:
name: KA_3_169_7
n: 185823766991360923710679129196544755596402591828367442331733798414239140090653102165527343177897437971975078078955898882605783639735498740459333307
type: snfs
skew: 1.62
deg: 5
c5: 1
c0: 11
m: 10000000000000000000000000000000000
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 1900001)
Primes: RFBsize:412849, AFBsize:412887, largePrimes:14693738 encountered
Relations: rels:13330852, finalFF:847863
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 46.08 hours.
Total relation processing time: 0.48 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,56,56,2.5,2.5,100000
total time: 46.56 hours.
 --------- CPU info (if available) ----------

4576817998913426894912960095721404718365014890408874986237356722103527141499165186853118731680448646199255725218775261937030158112731404125318099114862189<154>

381814249723112484682790856461<30>

11987027729406341483972295989694296404186466424267385001709299847430322285161979459109911425907788839466142164158747992679649<125>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1501931023
Step 1 took 18828ms
Step 2 took 12468ms
********** Factor found in step 2: 381814249723112484682790856461
Found probable prime factor of 30 digits: 381814249723112484682790856461
Composite cofactor 11987027729406341483972295989694296404186466424267385001709299847430322285161979459109911425907788839466142164158747992679649 has 125 digits

GPM-ECM 6.1.3

WinXP32

11987027729406341483972295989694296404186466424267385001709299847430322285161979459109911425907788839466142164158747992679649<125>

140467230644969325117334491622720736772604420747<48>
85336826777083209442530188287522535207771263350048261979734942607049479036867<77>

Number: 33337_173
N=11987027729406341483972295989694296404186466424267385001709299847430322285161979459109911425907788839466142164158747992679649
  ( 125 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=140467230644969325117334491622720736772604420747 (pp48)
 r2=85336826777083209442530188287522535207771263350048261979734942607049479036867 (pp77)
Version: Msieve-1.40
Total time: 93.03 hours.
Scaled time: 222.53 units (timescale=2.392).
Factorization parameters were as follows:
name: 33337_173
n: 11987027729406341483972295989694296404186466424267385001709299847430322285161979459109911425907788839466142164158747992679649
m: 10000000000000000000000000000000000
deg: 5
c5: 1000
c0: 11
skew: 0.41
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2700000, 6400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1061348 x 1061596
Total sieving time: 89.62 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.66 hours.
Time per square root: 0.62 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 93.03 hours.
 --------- CPU info (if available) ----------

Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

58967608090426591136236815801054612083654043411835140955875541315271319104803306761939451706207101433661765220114582317984831526300467206255661258924231517915273335797<167>

1663813141164232605521375253659366783876558160712747<52>
35441244351012120797734685671866214672247079787653946935153849461644924094039152738627620585090548532721770420013151<116>

Sieving ~4 cpu-days

Fri Sep 25 16:27:31 2009  Msieve v. 1.42
Fri Sep 25 16:27:31 2009  random seeds: 37744bb0 1e3de700
Fri Sep 25 16:27:31 2009  factoring 58967608090426591136236815801054612083654043411835140955875541315271319104803306761939451706207101433661765220114582317984831526300467206255661258924231517915273335797 (167 digits)
Fri Sep 25 16:27:32 2009  searching for 15-digit factors
Fri Sep 25 16:27:34 2009  commencing number field sieve (167-digit input)
Fri Sep 25 16:27:34 2009  R0: -50000000000000000000000000000000000
Fri Sep 25 16:27:34 2009  R1:  1
Fri Sep 25 16:27:34 2009  A0:  55
Fri Sep 25 16:27:34 2009  A1:  0
Fri Sep 25 16:27:34 2009  A2:  0
Fri Sep 25 16:27:34 2009  A3:  0
Fri Sep 25 16:27:34 2009  A4:  0
Fri Sep 25 16:27:34 2009  A5:  16
Fri Sep 25 16:27:34 2009  skew 1.28, size 4.220308e-012, alpha 0.346343, combined = 1.950576e-010
Fri Sep 25 16:27:34 2009  
Fri Sep 25 16:27:34 2009  commencing relation filtering
Fri Sep 25 16:27:34 2009  estimated available RAM is 4094.1 MB
Fri Sep 25 16:27:34 2009  commencing duplicate removal, pass 1
Fri Sep 25 16:29:40 2009  found 1616363 hash collisions in 12545241 relations
Fri Sep 25 16:30:13 2009  added 375841 free relations
Fri Sep 25 16:30:14 2009  commencing duplicate removal, pass 2
Fri Sep 25 16:30:40 2009  found 1316264 duplicates and 11604817 unique relations
Fri Sep 25 16:30:40 2009  memory use: 49.3 MB
Fri Sep 25 16:30:40 2009  reading ideals above 720000
Fri Sep 25 16:30:41 2009  commencing singleton removal, initial pass
Fri Sep 25 16:33:18 2009  memory use: 266.4 MB
Fri Sep 25 16:33:18 2009  reading all ideals from disk
Fri Sep 25 16:33:19 2009  memory use: 344.5 MB
Fri Sep 25 16:33:21 2009  commencing in-memory singleton removal
Fri Sep 25 16:33:23 2009  begin with 11604817 relations and 11624327 unique ideals
Fri Sep 25 16:33:42 2009  reduce to 6235504 relations and 5342672 ideals in 14 passes
Fri Sep 25 16:33:42 2009  max relations containing the same ideal: 92
Fri Sep 25 16:33:47 2009  removing 1629665 relations and 1250632 ideals in 379033 cliques
Fri Sep 25 16:33:48 2009  commencing in-memory singleton removal
Fri Sep 25 16:33:49 2009  begin with 4605839 relations and 5342672 unique ideals
Fri Sep 25 16:33:56 2009  reduce to 4338262 relations and 3805194 ideals in 8 passes
Fri Sep 25 16:33:56 2009  max relations containing the same ideal: 69
Fri Sep 25 16:34:00 2009  removing 1264439 relations and 885406 ideals in 379033 cliques
Fri Sep 25 16:34:00 2009  commencing in-memory singleton removal
Fri Sep 25 16:34:01 2009  begin with 3073823 relations and 3805194 unique ideals
Fri Sep 25 16:34:06 2009  reduce to 2828642 relations and 2653232 ideals in 11 passes
Fri Sep 25 16:34:06 2009  max relations containing the same ideal: 52
Fri Sep 25 16:34:09 2009  removing 226289 relations and 185645 ideals in 40644 cliques
Fri Sep 25 16:34:09 2009  commencing in-memory singleton removal
Fri Sep 25 16:34:10 2009  begin with 2602353 relations and 2653232 unique ideals
Fri Sep 25 16:34:12 2009  reduce to 2591305 relations and 2456371 ideals in 6 passes
Fri Sep 25 16:34:12 2009  max relations containing the same ideal: 48
Fri Sep 25 16:34:15 2009  relations with 0 large ideals: 2916
Fri Sep 25 16:34:15 2009  relations with 1 large ideals: 2398
Fri Sep 25 16:34:15 2009  relations with 2 large ideals: 29858
Fri Sep 25 16:34:15 2009  relations with 3 large ideals: 159102
Fri Sep 25 16:34:15 2009  relations with 4 large ideals: 441739
Fri Sep 25 16:34:15 2009  relations with 5 large ideals: 709449
Fri Sep 25 16:34:15 2009  relations with 6 large ideals: 703744
Fri Sep 25 16:34:15 2009  relations with 7+ large ideals: 542099
Fri Sep 25 16:34:15 2009  commencing 2-way merge
Fri Sep 25 16:34:19 2009  reduce to 1695841 relation sets and 1560907 unique ideals
Fri Sep 25 16:34:19 2009  commencing full merge
Fri Sep 25 16:34:56 2009  memory use: 167.0 MB
Fri Sep 25 16:34:56 2009  found 859064 cycles, need 841107
Fri Sep 25 16:34:56 2009  weight of 841107 cycles is about 59157155 (70.33/cycle)
Fri Sep 25 16:34:56 2009  distribution of cycle lengths:
Fri Sep 25 16:34:56 2009  1 relations: 87608
Fri Sep 25 16:34:56 2009  2 relations: 91978
Fri Sep 25 16:34:56 2009  3 relations: 94002
Fri Sep 25 16:34:56 2009  4 relations: 89624
Fri Sep 25 16:34:56 2009  5 relations: 83419
Fri Sep 25 16:34:56 2009  6 relations: 74269
Fri Sep 25 16:34:56 2009  7 relations: 64927
Fri Sep 25 16:34:56 2009  8 relations: 54915
Fri Sep 25 16:34:56 2009  9 relations: 46193
Fri Sep 25 16:34:56 2009  10+ relations: 154172
Fri Sep 25 16:34:56 2009  heaviest cycle: 20 relations
Fri Sep 25 16:34:56 2009  commencing cycle optimization
Fri Sep 25 16:34:58 2009  start with 4988233 relations
Fri Sep 25 16:35:11 2009  pruned 156130 relations
Fri Sep 25 16:35:11 2009  memory use: 125.1 MB
Fri Sep 25 16:35:11 2009  distribution of cycle lengths:
Fri Sep 25 16:35:11 2009  1 relations: 87608
Fri Sep 25 16:35:11 2009  2 relations: 94043
Fri Sep 25 16:35:11 2009  3 relations: 97631
Fri Sep 25 16:35:11 2009  4 relations: 92599
Fri Sep 25 16:35:11 2009  5 relations: 86536
Fri Sep 25 16:35:11 2009  6 relations: 76379
Fri Sep 25 16:35:11 2009  7 relations: 66348
Fri Sep 25 16:35:11 2009  8 relations: 55388
Fri Sep 25 16:35:11 2009  9 relations: 45801
Fri Sep 25 16:35:11 2009  10+ relations: 138774
Fri Sep 25 16:35:11 2009  heaviest cycle: 20 relations
Fri Sep 25 16:35:13 2009  RelProcTime: 459
Fri Sep 25 16:35:13 2009  
Fri Sep 25 16:35:13 2009  commencing linear algebra
Fri Sep 25 16:35:14 2009  read 841107 cycles
Fri Sep 25 16:35:16 2009  cycles contain 2510407 unique relations
Fri Sep 25 16:36:20 2009  read 2510407 relations
Fri Sep 25 16:36:25 2009  using 20 quadratic characters above 134215932
Fri Sep 25 16:36:41 2009  building initial matrix
Fri Sep 25 16:37:19 2009  memory use: 277.4 MB
Fri Sep 25 16:37:21 2009  read 841107 cycles
Fri Sep 25 16:37:42 2009  matrix is 840929 x 841107 (238.0 MB) with weight 74768823 (88.89/col)
Fri Sep 25 16:37:42 2009  sparse part has weight 56501333 (67.17/col)
Fri Sep 25 16:37:53 2009  filtering completed in 2 passes
Fri Sep 25 16:37:53 2009  matrix is 840412 x 840590 (238.0 MB) with weight 74749732 (88.93/col)
Fri Sep 25 16:37:53 2009  sparse part has weight 56493595 (67.21/col)
Fri Sep 25 16:37:57 2009  read 840590 cycles
Fri Sep 25 16:39:25 2009  matrix is 840412 x 840590 (238.0 MB) with weight 74749732 (88.93/col)
Fri Sep 25 16:39:25 2009  sparse part has weight 56493595 (67.21/col)
Fri Sep 25 16:39:25 2009  saving the first 48 matrix rows for later
Fri Sep 25 16:39:26 2009  matrix is 840364 x 840590 (225.3 MB) with weight 59300992 (70.55/col)
Fri Sep 25 16:39:26 2009  sparse part has weight 54009505 (64.25/col)
Fri Sep 25 16:39:26 2009  matrix includes 64 packed rows
Fri Sep 25 16:39:26 2009  using block size 65536 for processor cache size 4096 kB
Fri Sep 25 16:39:33 2009  commencing Lanczos iteration (4 threads)
Fri Sep 25 16:39:33 2009  memory use: 252.7 MB
Fri Sep 25 17:34:03 2009  lanczos halted after 13288 iterations (dim = 840361)
Fri Sep 25 17:34:05 2009  recovered 36 nontrivial dependencies
Fri Sep 25 17:34:06 2009  BLanczosTime: 3533
Fri Sep 25 17:34:06 2009  
Fri Sep 25 17:34:06 2009  commencing square root phase
Fri Sep 25 17:34:06 2009  reading relations for dependency 1
Fri Sep 25 17:34:07 2009  read 420473 cycles
Fri Sep 25 17:34:07 2009  cycles contain 1569020 unique relations
Fri Sep 25 17:34:53 2009  read 1569020 relations
Fri Sep 25 17:35:02 2009  multiplying 1254520 relations
Fri Sep 25 17:36:39 2009  multiply complete, coefficients have about 32.80 million bits
Fri Sep 25 17:36:39 2009  initial square root is modulo 2630865701
Fri Sep 25 17:39:23 2009  reading relations for dependency 2
Fri Sep 25 17:39:23 2009  read 419883 cycles
Fri Sep 25 17:39:24 2009  cycles contain 1567776 unique relations
Fri Sep 25 17:40:10 2009  read 1567776 relations
Fri Sep 25 17:40:19 2009  multiplying 1254088 relations
Fri Sep 25 17:41:56 2009  multiply complete, coefficients have about 32.79 million bits
Fri Sep 25 17:41:56 2009  initial square root is modulo 2610199171
Fri Sep 25 17:44:40 2009  reading relations for dependency 3
Fri Sep 25 17:44:40 2009  read 420742 cycles
Fri Sep 25 17:44:41 2009  cycles contain 1570664 unique relations
Fri Sep 25 17:45:38 2009  read 1570664 relations
Fri Sep 25 17:45:47 2009  multiplying 1256638 relations
Fri Sep 25 17:47:24 2009  multiply complete, coefficients have about 32.86 million bits
Fri Sep 25 17:47:25 2009  initial square root is modulo 2728664321
Fri Sep 25 17:50:08 2009  reading relations for dependency 4
Fri Sep 25 17:50:09 2009  read 420585 cycles
Fri Sep 25 17:50:10 2009  cycles contain 1568813 unique relations
Fri Sep 25 17:50:56 2009  read 1568813 relations
Fri Sep 25 17:51:05 2009  multiplying 1255100 relations
Fri Sep 25 17:52:42 2009  multiply complete, coefficients have about 32.82 million bits
Fri Sep 25 17:52:42 2009  initial square root is modulo 2658738211
Fri Sep 25 17:55:26 2009  reading relations for dependency 5
Fri Sep 25 17:55:26 2009  read 419920 cycles
Fri Sep 25 17:55:27 2009  cycles contain 1569762 unique relations
Fri Sep 25 17:56:15 2009  read 1569762 relations
Fri Sep 25 17:56:24 2009  multiplying 1255676 relations
Fri Sep 25 17:58:01 2009  multiply complete, coefficients have about 32.83 million bits
Fri Sep 25 17:58:01 2009  initial square root is modulo 2686915471
Fri Sep 25 18:00:45 2009  sqrtTime: 1599
Fri Sep 25 18:00:45 2009  prp52 factor: 1663813141164232605521375253659366783876558160712747
Fri Sep 25 18:00:45 2009  prp116 factor: 35441244351012120797734685671866214672247079787653946935153849461644924094039152738627620585090548532721770420013151
Fri Sep 25 18:00:45 2009  elapsed time 01:33:14

GGNFS/msieve 1.42

7150758731255179830855952970889976280933288426568501050803995557948676144282289072282014483146734284241229415647147240557959402282379171842028298412603069248662629348287<169>

31384625954292517272083270912284988437<38>
227842725978933038527191595324104875211606210309617485656031157323032196340886078968896526888348315502943618148510280830511973874051<132>

Number: 33337_175
N=7150758731255179830855952970889976280933288426568501050803995557948676144282289072282014483146734284241229415647147240557959402282379171842028298412603069248662629348287
  ( 169 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=31384625954292517272083270912284988437 (pp38)
 r2=227842725978933038527191595324104875211606210309617485656031157323032196340886078968896526888348315502943618148510280830511973874051 (pp132)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 176.55 hours.
Scaled time: 353.46 units (timescale=2.002).
Factorization parameters were as follows:
n: 7150758731255179830855952970889976280933288426568501050803995557948676144282289072282014483146734284241229415647147240557959402282379171842028298412603069248662629348287
m: 100000000000000000000000000000000000
c5: 1
c0: 11
skew: 1.62
type: snfs
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 9400001)
Primes: RFBsize:501962, AFBsize:502027, largePrimes:6547456 encountered
Relations: rels:7183440, finalFF:1298613
Max relations in full relation-set: 32
Initial matrix: 1004053 x 1298613 with sparse part having weight 71578861.
Pruned matrix : 741890 x 746974 with weight 50609168.
Total sieving time: 172.03 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 4.25 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 176.55 hours.

9769067441269158180523604400486296984649389790765301062586030897703330125403155429472917988622131386228273403986649763681756430041630652919266860669811929751<157>

4086161435966825565731672088764901305281427456131784256360630460786921<70>
2390768841211409882313112507942100812266380438329776481094137736714719683197884863631231<88>

SNFS difficulty: 176 digits.
Divisors found:
 r1=4086161435966825565731672088764901305281427456131784256360630460786921
 r2=2390768841211409882313112507942100812266380438329776481094137736714719683197884863631231
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.618).
Factorization parameters were as follows:
n: 9769067441269158180523604400486296984649389790765301062586030897703330125403155429472917988622131386228273403986649763681756430041630652919266860669811929751
Y1: 1
Y0: -100000000000000000000000000000000000
c5: 10
c0: 11
skew: 1.02
type: snfs
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [5000000, 8100001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1284153 x 1284401
Total sieving time: 0.00 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,176,5,0,0,0,0,0,0,0,0,10000000,10000000,27,27,54,54,2.6,2.6,100000
total time: 50.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

13721803576811817885681690766567074498750646980891844789336195718859769978139856006456462401531345020909342029534402999813881<125>

72527372509462921898799989149450148348309743529353472009<56>
189194825374674672372889862338689079952938574525026276794796045796209<69>

N=13721803576811817885681690766567074498750646980891844789336195718859769978139856006456462401531345020909342029534402999813881
  ( 125 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=72527372509462921898799989149450148348309743529353472009 (pp56)
 r2=189194825374674672372889862338689079952938574525026276794796045796209 (pp69)
Version: Msieve-1.40
Total time: 137.39 hours.
Scaled time: 128.59 units (timescale=0.936).
Factorization parameters were as follows:
n: 13721803576811817885681690766567074498750646980891844789336195718859769978139856006456462401531345020909342029534402999813881
m: 100000000000000000000000000000000000
deg: 5
c5: 1000
c0: 11
skew: 0.41
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3250000, 8150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1478661 x 1478890
Total sieving time: 132.48 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 4.34 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,178.000,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
total time: 137.39 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

586393027549619837924098205756277485134754441430497795667857594219759099162821687800747680186576772689747783336092750526502834397481<132>

4429693851093124812680012847417155469389043785831<49>
132377777621113568505196366890794754712994262159481490682692768877859742443176327151<84>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=344475654
Step 1 took 48979ms
Step 2 took 29078ms
********** Factor found in step 2: 4429693851093124812680012847417155469389043785831
Found probable prime factor of 49 digits: 4429693851093124812680012847417155469389043785831
Probable prime cofactor 132377777621113568505196366890794754712994262159481490682692768877859742443176327151 has 84 digits

1222083427034706903773029817610399404719151533461635367757974162856636259210681170667958475510140547632037054709315922473113662735165663173<139>

77240254600985638110009586297943764960967129<44>
15821846177849241439572262809209906963529459085951663787242670707244512376865282657367660338637<95>

N=1222083427034706903773029817610399404719151533461635367757974162856636259210681170667958475510140547632037054709315922473113662735165663173
  ( 139 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=77240254600985638110009586297943764960967129 (pp44)
 r2=15821846177849241439572262809209906963529459085951663787242670707244512376865282657367660338637 (pp95)
Version: Msieve-1.40
Total time: 110.34 hours.
Scaled time: 197.84 units (timescale=1.793).
Factorization parameters were as follows:
n: 1222083427034706903773029817610399404719151533461635367757974162856636259210681170667958475510140547632037054709315922473113662735165663173
m: 1000000000000000000000000000000000000
deg: 5
c5: 1
c0: 11
skew: 1.62
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 360000Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3500000, 5300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 968641 x 968869
Total sieving time: 109.07 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.02 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
total time: 110.34 hours.
 --------- CPU info (if available) ----------

425892864989262697415943916973450181489280336052061836209294343796473203125210876743431760323502965141894163002772312437356813741097849<135>

105981447101665873606353102413<30>
173528881158073536221773584328933<33>
23157877513186904238703485740025834562034755077344962107936455349631017881<74>

Input number is 425892864989262697415943916973450181489280336052061836209294343796473203125210876743431760323502965141894163002772312437356813741097849 (135 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=112005762
Step 1 took 5306ms
Step 2 took 2884ms
********** Factor found in step 2: 105981447101665873606353102413
Found probable prime factor of 30 digits: 105981447101665873606353102413
Composite cofactor 4018560574859033826296518854721245168019648050060460073884921774174230999080785420922403196557635108650973 has 106 digits

 
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 4018560574859033826296518854721245168019648050060460073884921774174230999080785420922403196557635108650973 (106 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=625049087
Step 1 took 4503ms
Step 2 took 2489ms
********** Factor found in step 2: 173528881158073536221773584328933
Found probable prime factor of 33 digits: 173528881158073536221773584328933
Probable prime cofactor 23157877513186904238703485740025834562034755077344962107936455349631017881 has 74 digits

GMP-ECM 6.2.1

2915614798451286268320684617618360051640181670322905894809011570550162505976580888490578221396168110357389606177278472565808362548101760201320754623521849929<157>

943155214272186113121884860262473038052931845874977<51>
4986012833779145871234765788724548151133491471030661<52>
620002704222835422194925410576098043616192850980809557<54>

N=2915614798451286268320684617618360051640181670322905894809011570550162505976580888490578221396168110357389606177278472565808362548101760201320754623521849929
  ( 157 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=943155214272186113121884860262473038052931845874977 (pp51)
 r2=4986012833779145871234765788724548151133491471030661 (pp52)
 r3=620002704222835422194925410576098043616192850980809557 (pp54)
Version: Msieve-1.40
Total time: 185.24 hours.
Scaled time: 336.96 units (timescale=1.819).
Factorization parameters were as follows:
n: 2915614798451286268320684617618360051640181670322905894809011570550162505976580888490578221396168110357389606177278472565808362548101760201320754623521849929
m: 1000000000000000000000000000000000000
deg: 5
c5: 10000
c0: 11
skew: 0.26
type: snfs
lss: 1
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4100000, 7100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1562956 x 1563180
Total sieving time: 181.30 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.78 hours.
Time per square root: 0.95 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8200000,8200000,28,28,54,54,2.5,2.5,100000
total time: 185.24 hours.
 --------- CPU info (if available) ----------

230400393752708294579735444977714406523796248671953654138133567936937103321403814860929036304538183131966048527687867996027147335366159433600965947559250375894020918793087<171>

1776321533625132234103988871958258688604897573013351783711<58>
129706468897275142078819966379925468744904672425817329514882331618095590922299848871445418173854740736307071770017<114>

Number: 1
N=230400393752708294579735444977714406523796248671953654138133567936937103321403814860929036304538183131966048527687867996027147335366159433600965947559250375894020918793087
  ( 171 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=1776321533625132234103988871958258688604897573013351783711 (pp58)
 r2=129706468897275142078819966379925468744904672425817329514882331618095590922299848871445418173854740736307071770017 (pp114)
Version: Msieve v. 1.43
Total time: 3.13 hours.
Scaled time: 8.00 units (timescale=2.557).
Factorization parameters were as follows:
n: 230400393752708294579735444977714406523796248671953654138133567936937103321403814860929036304538183131966048527687867996027147335366159433600965947559250375894020918793087
m: 10000000000000000000000000000000000000
deg: 5
c5: 1
c0: 11
skew: 1.62
type: snfs
lss: 1
rlim: 8500000
alim: 8500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4250000, 4250000)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1329272 x 1329497
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 2.97 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8500000,8500000,28,28,54,54,2.5,2.5,100000
total time: 3.13 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

924984761533926788890499106136644571871172969978517375222921871843888546795108956936827281519873514217358902756842863563916978208560545844279652275412084353912929<162>

119082595147331902970137026564983<33>

7767589884898905584453846627616528735466833665717627569798152437068183984890392285268361811654098469581336926528022496076374393063<130>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3868127526
Step 1 took 25004ms
Step 2 took 16416ms
********** Factor found in step 2: 119082595147331902970137026564983
Found probable prime factor of 33 digits: 119082595147331902970137026564983
Composite cofactor 7767589884898905584453846627616528735466833665717627569798152437068183984890392285268361811654098469581336926528022496076374393063 has 130 digits

GMP-ECM 6.2.1

7767589884898905584453846627616528735466833665717627569798152437068183984890392285268361811654098469581336926528022496076374393063<130>

257217038447243353480307026373843318909224549305262093<54>
30198582223751407946593644665619307254845200035717122988538925499871005668291<77>

Number: 33337_186
N = 7767589884898905584453846627616528735466833665717627569798152437068183984890392285268361811654098469581336926528022496076374393063 (130 digits)
Divisors found:
r1=257217038447243353480307026373843318909224549305262093 (pp54)
r2=30198582223751407946593644665619307254845200035717122988538925499871005668291 (pp77)
Version: Msieve v. 1.45
Total time: 191.49 hours.
Factorization parameters were as follows:
# Murphy_E = 8.842317e-11, selected by Jeff Gilchrist
n: 7767589884898905584453846627616528735466833665717627569798152437068183984890392285268361811654098469581336926528022496076374393063
Y0: -11183530832595308673377401
Y1: 230100975435947
c0: -15012227132820421940452127255760
c1: 188321184253210442574398186
c2: 317785477333542359855
c3: -7367473982946268
c4: 42833896212
c5: 44400
skew: 243862.11
type: gnfs
# selected mechanically
rlim: 9700000
alim: 9700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9700000/9700000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [4850000, 9650000)
Relations: 18927135
Relations in full relation-set: 2497202 relations
Pruned matrix : 1447253 x 1447479
Polynomial selection time: 0.00 hours.
Total sieving time: 183.37 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 7.16 hours.
time per square root: 0.65 hours.
Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,9700000,9700000,28,28,54,54,2.5,2.5,100000
total time: 191.49 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

96201618082365793890547302649143741246220540827394075306929311286361333953936759483077681450663031813276318811975482318489059966871485441879626094639212814465971909<164>

561001255796566495834524537268767179<36>
171482001311688646769612194478997357332905155794569316786349374737349990190249919393486839273321083264689892727052375271521021871<129>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=217195123
Step 1 took 78439ms
********** Factor found in step 1: 561001255796566495834524537268767179
Found probable prime factor of 36 digits: 561001255796566495834524537268767179
Probable prime cofactor 171482001311688646769612194478997357332905155794569316786349374737349990190249919393486839273321083264689892727052375271521021871 has 129 digits

837680816588894176485735115978051985632321886091628452926325226397687717499064407103944955595571984434969033396365960906140242191859597618887027294350900173838052227170486339651<177>

464594520201250029302941568355083639121020692229080728659062433887026643901555578283<84>
1803036368629645167714741169142139317491909327629575463873713872306017832638424967582310551497<94>

N=837680816588894176485735115978051985632321886091628452926325226397687717499064407103944955595571984434969033396365960906140242191859597618887027294350900173838052227170486339651
  ( 177 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=464594520201250029302941568355083639121020692229080728659062433887026643901555578283 (pp84)
 r2=1803036368629645167714741169142139317491909327629575463873713872306017832638424967582310551497 (pp94)
Version: Msieve v. 1.48
Total time:
Scaled time: 27.34 units (timescale=0.450).
Factorization parameters were as follows:
n: 837680816588894176485735115978051985632321886091628452926325226397687717499064407103944955595571984434969033396365960906140242191859597618887027294350900173838052227170486339651
m: 100000000000000000000000000000000000000
deg: 5
c5: 10
c0: 11
skew: 1.02
type: snfs
lss: 1
rlim: 10700000
alim: 10700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 320000
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, 14950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1997476 x 1997702
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,191.000,5,0,0,0,0,0,0,0,0,10700000,10700000,28,28,54,54,2.5,2.5,100000
total time:

839371220220156165472918185637163723645455086497487793529808963523921781269796411271577345387115305325306580639336340439698459161638180539105481772724324941916666829826781812839<177>

3537681977319768785240074850138142551<37>
8517848345717755681894740177877906185289<40>
27855142321119393025047496320577469768140980661842214284210479555183229760937863415040560567427815401<101>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1325732432
Step 1 took 28454ms
Step 2 took 18892ms
********** Factor found in step 2: 8517848345717755681894740177877906185289
Found probable prime factor of 40 digits: 8517848345717755681894740177877906185289
Composite cofactor 98542634965101228192603784568157012028024562138727262191822816098411362503766419941655758162148796621247457809766480258477250777851227951 has 137 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1282155684
Step 1 took 20031ms
Step 2 took 14835ms
********** Factor found in step 2: 3537681977319768785240074850138142551
Found probable prime factor of 37 digits: 3537681977319768785240074850138142551
Probable prime cofactor 27855142321119393025047496320577469768140980661842214284210479555183229760937863415040560567427815401 has 101 digits

GMP-ECM 6.2.3

18162038071264204984026487516323131716548704229393805655295414630248147926167682832696753898935522948643204945886207566668301250093080445115229050543135748521156050047312109175643253983389<188>

6962828561430455255465362959713501361036549976372426843<55>
2608428156894468362221597614613616286761425422842550501134866204565528078394994223351563387045865984562846429430963201290430897362023<133>

Number: 33337_193
N=18162038071264204984026487516323131716548704229393805655295414630248147926167682832696753898935522948643204945886207566668301250093080445115229050543135748521156050047312109175643253983389
  ( 188 digits)
SNFS difficulty: 193 digits.
Divisors found:
 r1=6962828561430455255465362959713501361036549976372426843
 r2=2608428156894468362221597614613616286761425422842550501134866204565528078394994223351563387045865984562846429430963201290430897362023
Version: 
Total time: 535.46 hours.
Scaled time: 1078.95 units (timescale=2.015).
Factorization parameters were as follows:
n: 18162038071264204984026487516323131716548704229393805655295414630248147926167682832696753898935522948643204945886207566668301250093080445115229050543135748521156050047312109175643253983389
m: 100000000000000000000000000000000000000
deg: 5
c5: 1000
c0: 11
skew: 0.41
type: snfs
lss: 1
rlim: 11500000
alim: 11500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5750000, 12250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2070655 x 2070903
Total sieving time: 535.46 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,193,5,0,0,0,0,0,0,0,0,11500000,11500000,28,28,55,55,2.5,2.5,100000
total time: 535.46 hours.
 --------- CPU info (if available) ----------

164124324404663369572466645384113155593576561426834870495618651618407516468738411984596767982165483722916110408459145092146824047529325196701891237876690121<156>

130484988292671506470902098342591<33>
1257802346094712918993348358727976460015659906722694936603009487963503606482318076446496320048338672955600871178975804467831<124>

Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=1940575091
Step 1 took 2075ms
Step 2 took 1185ms
********** Factor found in step 2: 130484988292671506470902098342591
Found probable prime factor of 33 digits: 130484988292671506470902098342591
Probable prime cofactor 1257802346094712918993348358727976460015659906722694936603009487963503606482318076446496320048338672955600871178975804467831 has 124 digits

(Enter factorization software information here, if above results do not include them. For example, GMP-ECM 6.3

13879288057896802622859154472022229665029269076376005280122323270523466893633512632641024740260316039057496007044783381910417533749449393951912408171174428640436772963147005757<176>

509466816187397106648494179548551611489491938998363453<54>
12870304626815141831320036296957271242091386980740849875493<59>
2116715360308458748002540769617094110136841022242913297844489133<64>

N=13879288057896802622859154472022229665029269076376005280122323270523466893633512632641024740260316039057496007044783381910417533749449393951912408171174428640436772963147005757
  ( 176 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=509466816187397106648494179548551611489491938998363453 (pp54)
 r2=12870304626815141831320036296957271242091386980740849875493 (pp59)
 r3=2116715360308458748002540769617094110136841022242913297844489133 (pp64)
Version: Msieve-1.40
Total time: 384.50 hours.
Scaled time: 707.09 units (timescale=1.839).
Factorization parameters were as follows:
n: 13879288057896802622859154472022229665029269076376005280122323270523466893633512632641024740260316039057496007044783381910417533749449393951912408171174428640436772963147005757
m: 1000000000000000000000000000000000000000
deg: 5
c5: 10
c0: 11
skew: 1.02
type: snfs
lss: 1
rlim: 12900000
alim: 12900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 360000Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6450000, 12210001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2215826 x 2216051
Total sieving time: 376.36 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 7.13 hours.
Time per square root: 0.74 hours.
Prototype def-par.txt line would be:
snfs,196.000,5,0,0,0,0,0,0,0,0,12900000,12900000,28,28,55,55,2.5,2.5,100000
total time: 384.50 hours.
 --------- CPU info (if available) ----------

1111327635927216154183274511751200965575478397913632294980669883106695278118049565156707026858774690133972726602449305806723403721216978731058090284461560332392817988621806181257959257473<187>

691067718697911448979554739762417<33>
8816030820317456819848800378232646741<37>

182409901122819447050386663395417029256033669109838383713792030317639978116622953353489198424492675782151798329746509<117>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2203834190
Step 1 took 27144ms
Step 2 took 19110ms
********** Factor found in step 2: 691067718697911448979554739762417
Found probable prime factor of 33 digits: 691067718697911448979554739762417
Composite cofactor 1608131310229836117610951300449345899660042697139950799121250656562045892432315048278637327739880362652478763801180663658580667498250718332085170674977169 has 154 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1897255620
Step 1 took 21809ms
Step 2 took 15319ms
********** Factor found in step 2: 8816030820317456819848800378232646741
Found probable prime factor of 37 digits: 8816030820317456819848800378232646741
Composite cofactor 182409901122819447050386663395417029256033669109838383713792030317639978116622953353489198424492675782151798329746509 has 117 digits

GMP-ECM 6.2.3

182409901122819447050386663395417029256033669109838383713792030317639978116622953353489198424492675782151798329746509<117>

4192413396979570035728225720902984289157758977367700961<55>
43509521569184210156631910308869416114462063117996985530508269<62>

Number: 33337_197
N = 182409901122819447050386663395417029256033669109838383713792030317639978116622953353489198424492675782151798329746509 (117 digits)
Divisors found:
r1=4192413396979570035728225720902984289157758977367700961 (pp55)
r2=43509521569184210156631910308869416114462063117996985530508269 (pp62)
Version: Msieve v. 1.44
Total time: 26.29 hours.
Factorization parameters were as follows:
# Murphy_E = 4.346832e-10, selected by Erik Branger 
n: 182409901122819447050386663395417029256033669109838383713792030317639978116622953353489198424492675782151798329746509 
Y0: -44210324246197844422070 
Y1: 1645050782881 
c0: -45884627891746064403026105061 
c1: -2168239961487644165534939 
c2: 42300594055294097847 
c3: -26318434710321 
c4: 411147074 
c5: 1080 
skew: 204504.01 
type: gnfs # selected mechanically 
rlim: 4200000 
alim: 4200000 
lpbr: 27
lpba: 27 
mfbr: 51 
mfba: 51 
rlambda: 2.5 
alambda: 2.5 
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [2100000, 3500000)
Total raw relations: 9003627
Relations: 964770 relations
Pruned matrix : 563340 x 563571
Polynomial selection time: 0.00 hours.
Total sieving time: 24.51 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.23 hours.
time per square root: 0.42 hours.
Prototype def-par.txt line would be: gnfs,116,5,63,2000,2.6e-05,0.28,250,20,50000,3600,4200000,4200000,27,27,51,51,2.5,2.5,100000
total time: 26.29 hours.
 --------- CPU info (if available) ----------

GGNFS + Msieve

8352907746168398011443299848280289570921069039547334545791304320660978286374079510610485710810188699787131993124320694556975513676470616487776200275463862234690663300979431056557045527749199<190>

474285895493887698499058452431176595941064401787066162660229899852066705799222922123750183<90>
17611545748098353662623943970103198148666869644677625178413421808646824800800143746108871450101606553<101>

Sieving took ~20 CPU-Days (with some oversieving)

Msieve v. 1.47
Fri Oct  1 03:34:14 2010
random seeds: baccd3e5 ae1e9e1b
factoring 8352907746168398011443299848280289570921069039547334545791304320660978286374079510610485710810188699787131993124320694556975513676470616487776200275463862234690663300979431056557045527749199 (190 digits)
searching for 15-digit factors
commencing number field sieve (190-digit input)
R0:  1000000000000000000000000000000000000000
R1: -1
A0:  11
A1:  0
A2:  0
A3:  0
A4:  0
A5:  1000
skew 0.41, size 8.111e-14, alpha 0.461, combined = 1.787e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1650619 cycles
cycles contain 5544556 unique relations
read 5544556 relations
multiplying 5544556 relations
multiply complete, coefficients have about 180.72 million bits
initial square root is modulo 3058511
reading relations for dependency 2
read 1652394 cycles
cycles contain 5546138 unique relations
read 5546138 relations
multiplying 5546138 relations
multiply complete, coefficients have about 180.77 million bits
initial square root is modulo 3071671
sqrtTime: 3200
prp90 factor: 474285895493887698499058452431176595941064401787066162660229899852066705799222922123750183
prp101 factor: 17611545748098353662623943970103198148666869644677625178413421808646824800800143746108871450101606553
elapsed time 00:53:22

Q6700

58782347763931429749896469062559379704649727148076056803175125293902729160733807818718078017450414300841106319539509084237280064598955615474713<143>

833064467891485516929264346681502370491465941340173<51>
70561583202211888691112914333689995134201613961379928814112649257690514733100435526696305981<92>

833064467891485516929264346681502370491465941340173

factor from factordb.com

5288473366366726040501981064578914824749346590471399609653679111759185036128535121867395723168456583894305763296590288427031016090695133069791252430265041901759016211150089087<175>

24305944786595346457197985558606247<35>
217579419882633107192464536745298503242371606246427979750790355132326139358855442920849549924732845182258526980489528858407285267069566255721<141>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2283099834
Step 1 took 80313ms
Step 2 took 24562ms
********** Factor found in step 2: 24305944786595346457197985558606247
Found probable prime factor of 35 digits: 24305944786595346457197985558606247
Probable prime cofactor 217579419882633107192464536745298503242371606246427979750790355132326139358855442920849549924732845182258526980489528858407285267069566255721 has 141 digits

GMP-ECM 6.2.3 [powered by GMP 4.3.0]

Dual Xeon E5310

333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337<201>

159921874928316024675307007174836679643385630864688744657<57>
2084351083819820803088198308018950692096545299297279455038272362099174875898497519966840320809303803528273360383331944920075097155497122636703241<145>

Number: 33337_201
N = 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337 (201 digits)
SNFS difficulty: 202 digits.
Divisors found:
r1=159921874928316024675307007174836679643385630864688744657 (pp57)
r2=2084351083819820803088198308018950692096545299297279455038272362099174875898497519966840320809303803528273360383331944920075097155497122636703241 (pp145)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 474.93 hours.
Factorization parameters were as follows:
n: 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337
m: 10000000000000000000000000000000000000000
deg: 5
c5: 10
c0: 11
skew: 1.02
type: snfs
lss: 1
rlim: 15700000
alim: 15700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15700000/15700000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [7850000, 15450000)
Relations: 38356853
Relations in full relation-set: 4442764 relations
Pruned matrix : 2734157 x 2734384
Polynomial selection time: 0.00 hours.
Total sieving time: 465.98 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 8.60 hours.
time per square root: 0.14 hours.

GGNFS, Msieve

191626712720987961960941670284343798019833168281245365727118830875958513283951941863442883630093757682581371602219135970555219021933243982463912883121388164495799811591448317576059<180>

3103966261678581088795684034722242505085071321148384130403135767606177000035137<79>
61736081054360089534844141633129437973448412113713432501260741874178823509744422465505203598090597307<101>

Number: n
N=191626712720987961960941670284343798019833168281245365727118830875958513283951941863442883630093757682581371602219135970555219021933243982463912883121388164495799811591448317576059  ( 180 digits)
SNFS difficulty: 202 digits.
Divisors found:

Sun Oct  3 23:20:05 2021  p79 factor: 3103966261678581088795684034722242505085071321148384130403135767606177000035137
Sun Oct  3 23:20:05 2021  p101 factor: 61736081054360089534844141633129437973448412113713432501260741874178823509744422465505203598090597307
Sun Oct  3 23:20:05 2021  elapsed time 01:42:32 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 10^202+11 = 3(201)7
#
n: 191626712720987961960941670284343798019833168281245365727118830875958513283951941863442883630093757682581371602219135970555219021933243982463912883121388164495799811591448317576059
m: 10000000000000000000000000000000000000000
deg: 5
c5: 100
c0: 11
skew: 0.64
# Murphy_E = 1.447e-11
type: snfs
lss: 1
rlim: 16300000
alim: 16300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16300000/16300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 28150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9065905 hash collisions in 64273836 relations (57849497 unique)
Msieve: matrix is 1997168 x 1997396 (686.6 MB)

Sieving start time : 2021/10/03 12:05:17
Sieving end time  : 2021/10/03 21:36:37

Total sieving time: 9hrs 31min 20secs.

Total relation processing time: 1hrs 22min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 39sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16300000,16300000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118347] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239960K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487276K reserved, 0K cma-reserved)
[    0.154098] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.48 BogoMIPS (lpj=12798968)
[    0.150212] smpboot: Total of 16 processors activated (102391.74 BogoMIPS)

6721392242303501778144317701391395408079247903093655207365032763426485108419417564476635432356916682293903630022308300852205322401660990450918041359415023790367841633244543741812504074844046896497953<199>

2502217974369070584941093470038927164030613375341<49>
2686173751109068670037889554016005681075276252446318405297576219844272500438040625397353181492104822395180729189845675847258664483124687239005017353733<151>

Sieving with lasieve14e in 8000000-15800000 took ~28days

Sat Dec 24 12:07:42 2011  Msieve v. 1.48
Sat Dec 24 12:07:42 2011  random seeds: d3a68d58 7861e1f5
Sat Dec 24 12:07:42 2011  factoring 6721392242303501778144317701391395408079247903093655207365032763426485108419417564476635432356916682293903630022308300852205322401660990450918041359415023790367841633244543741812504074844046896497953 (199 digits)
Sat Dec 24 12:07:44 2011  searching for 15-digit factors
Sat Dec 24 12:07:45 2011  commencing number field sieve (199-digit input)
Sat Dec 24 12:07:45 2011  R0: -100000000000000000000000000000000000000000
Sat Dec 24 12:07:45 2011  R1:  1
Sat Dec 24 12:07:45 2011  A0:  11
Sat Dec 24 12:07:45 2011  A1:  0
Sat Dec 24 12:07:45 2011  A2:  0
Sat Dec 24 12:07:45 2011  A3:  0
Sat Dec 24 12:07:45 2011  A4:  0
Sat Dec 24 12:07:45 2011  A5:  1
Sat Dec 24 12:07:45 2011  skew 1.62, size 6.667e-14, alpha 0.589, combined = 1.456e-11 rroots = 1
Sat Dec 24 12:07:45 2011
Sat Dec 24 12:07:45 2011  commencing relation filtering
Sat Dec 24 12:07:45 2011  estimated available RAM is 24048.2 MB
Sat Dec 24 12:07:45 2011  commencing duplicate removal, pass 1
Sat Dec 24 12:16:49 2011  skipped 1 relations with b > 2^32
Sat Dec 24 12:16:49 2011  found 4151903 hash collisions in 39244472 relations
Sat Dec 24 12:17:30 2011  added 730406 free relations
Sat Dec 24 12:17:30 2011  commencing duplicate removal, pass 2
Sat Dec 24 12:20:12 2011  found 3297805 duplicates and 36677073 unique relations
Sat Dec 24 12:20:12 2011  memory use: 197.2 MB
Sat Dec 24 12:20:12 2011  reading ideals above 720000
Sat Dec 24 12:20:12 2011  commencing singleton removal, initial pass
Sat Dec 24 12:30:19 2011  memory use: 753.0 MB
Sat Dec 24 12:30:19 2011  reading all ideals from disk
Sat Dec 24 12:30:20 2011  memory use: 1247.1 MB
Sat Dec 24 12:30:25 2011  keeping 38907443 ideals with weight <= 200, target excess is 194794
Sat Dec 24 12:30:30 2011  commencing in-memory singleton removal
Sat Dec 24 12:30:34 2011  begin with 36677073 relations and 38907443 unique ideals
Sat Dec 24 12:31:15 2011  reduce to 15401287 relations and 14368416 ideals in 18 passes
Sat Dec 24 12:31:15 2011  max relations containing the same ideal: 113
Sat Dec 24 12:31:25 2011  removing 2904987 relations and 2504987 ideals in 400000 cliques
Sat Dec 24 12:31:26 2011  commencing in-memory singleton removal
Sat Dec 24 12:31:28 2011  begin with 12496300 relations and 14368416 unique ideals
Sat Dec 24 12:31:44 2011  reduce to 12083683 relations and 11436691 ideals in 11 passes
Sat Dec 24 12:31:44 2011  max relations containing the same ideal: 97
Sat Dec 24 12:31:51 2011  removing 2187233 relations and 1787233 ideals in 400000 cliques
Sat Dec 24 12:31:52 2011  commencing in-memory singleton removal
Sat Dec 24 12:31:53 2011  begin with 9896450 relations and 11436691 unique ideals
Sat Dec 24 12:32:07 2011  reduce to 9583512 relations and 9325994 ideals in 12 passes
Sat Dec 24 12:32:08 2011  max relations containing the same ideal: 82
Sat Dec 24 12:32:13 2011  removing 283111 relations and 251555 ideals in 31556 cliques
Sat Dec 24 12:32:13 2011  commencing in-memory singleton removal
Sat Dec 24 12:32:14 2011  begin with 9300401 relations and 9325994 unique ideals
Sat Dec 24 12:32:20 2011  reduce to 9294445 relations and 9068463 ideals in 6 passes
Sat Dec 24 12:32:20 2011  max relations containing the same ideal: 81
Sat Dec 24 12:32:24 2011  relations with 0 large ideals: 3940
Sat Dec 24 12:32:24 2011  relations with 1 large ideals: 1760
Sat Dec 24 12:32:24 2011  relations with 2 large ideals: 28127
Sat Dec 24 12:32:24 2011  relations with 3 large ideals: 206433
Sat Dec 24 12:32:24 2011  relations with 4 large ideals: 814929
Sat Dec 24 12:32:24 2011  relations with 5 large ideals: 1884158
Sat Dec 24 12:32:24 2011  relations with 6 large ideals: 2707068
Sat Dec 24 12:32:24 2011  relations with 7+ large ideals: 3648030
Sat Dec 24 12:32:24 2011  commencing 2-way merge
Sat Dec 24 12:32:32 2011  reduce to 5533146 relation sets and 5307164 unique ideals
Sat Dec 24 12:32:32 2011  commencing full merge
Sat Dec 24 12:34:34 2011  memory use: 630.7 MB
Sat Dec 24 12:34:35 2011  found 2861373 cycles, need 2831364
Sat Dec 24 12:34:37 2011  weight of 2831364 cycles is about 198299948 (70.04/cycle)
Sat Dec 24 12:34:37 2011  distribution of cycle lengths:
Sat Dec 24 12:34:37 2011  1 relations: 372773
Sat Dec 24 12:34:37 2011  2 relations: 344814
Sat Dec 24 12:34:37 2011  3 relations: 341405
Sat Dec 24 12:34:37 2011  4 relations: 308769
Sat Dec 24 12:34:37 2011  5 relations: 271169
Sat Dec 24 12:34:37 2011  6 relations: 235639
Sat Dec 24 12:34:37 2011  7 relations: 202390
Sat Dec 24 12:34:37 2011  8 relations: 167419
Sat Dec 24 12:34:37 2011  9 relations: 136926
Sat Dec 24 12:34:37 2011  10+ relations: 450060
Sat Dec 24 12:34:37 2011  heaviest cycle: 21 relations
Sat Dec 24 12:34:38 2011  commencing cycle optimization
Sat Dec 24 12:34:44 2011  start with 15663090 relations
Sat Dec 24 12:35:13 2011  pruned 309248 relations
Sat Dec 24 12:35:13 2011  memory use: 536.4 MB
Sat Dec 24 12:35:13 2011  distribution of cycle lengths:
Sat Dec 24 12:35:13 2011  1 relations: 372773
Sat Dec 24 12:35:13 2011  2 relations: 351622
Sat Dec 24 12:35:13 2011  3 relations: 351760
Sat Dec 24 12:35:13 2011  4 relations: 313910
Sat Dec 24 12:35:13 2011  5 relations: 276645
Sat Dec 24 12:35:13 2011  6 relations: 237477
Sat Dec 24 12:35:13 2011  7 relations: 203014
Sat Dec 24 12:35:13 2011  8 relations: 166507
Sat Dec 24 12:35:13 2011  9 relations: 135248
Sat Dec 24 12:35:13 2011  10+ relations: 422408
Sat Dec 24 12:35:13 2011  heaviest cycle: 21 relations
Sat Dec 24 12:35:19 2011  RelProcTime: 1654
Sat Dec 24 12:35:20 2011
Sat Dec 24 12:35:20 2011  commencing linear algebra
Sat Dec 24 12:35:21 2011  read 2831364 cycles
Sat Dec 24 12:35:27 2011  cycles contain 9104681 unique relations
Sat Dec 24 12:41:39 2011  read 9104681 relations
Sat Dec 24 12:41:58 2011  using 20 quadratic characters above 536867844
Sat Dec 24 12:42:48 2011  building initial matrix
Sat Dec 24 12:45:03 2011  memory use: 1167.3 MB
Sat Dec 24 12:45:06 2011  read 2831364 cycles
Sat Dec 24 12:45:07 2011  matrix is 2831184 x 2831364 (852.8 MB) with weight 253515211 (89.54/col)
Sat Dec 24 12:45:07 2011  sparse part has weight 192404822 (67.95/col)
Sat Dec 24 12:45:48 2011  filtering completed in 2 passes
Sat Dec 24 12:45:49 2011  matrix is 2827097 x 2827275 (852.5 MB) with weight 253392004 (89.62/col)
Sat Dec 24 12:45:49 2011  sparse part has weight 192369225 (68.04/col)
Sat Dec 24 12:45:57 2011  matrix starts at (0, 0)
Sat Dec 24 12:45:58 2011  matrix is 2827097 x 2827275 (852.5 MB) with weight 253392004 (89.62/col)
Sat Dec 24 12:45:58 2011  sparse part has weight 192369225 (68.04/col)
Sat Dec 24 12:45:58 2011  saving the first 48 matrix rows for later
Sat Dec 24 12:45:59 2011  matrix includes 64 packed rows
Sat Dec 24 12:46:00 2011  matrix is 2827049 x 2827275 (811.9 MB) with weight 200644139 (70.97/col)
Sat Dec 24 12:46:00 2011  sparse part has weight 184557545 (65.28/col)
Sat Dec 24 12:46:00 2011  using block size 262144 for processor cache size 12288 kB
Sat Dec 24 12:46:10 2011  commencing Lanczos iteration (8 threads)
Sat Dec 24 12:46:10 2011  memory use: 1061.4 MB
Sat Dec 24 12:46:30 2011  linear algebra at 0.1%, ETA 9h48m
Sat Dec 24 12:46:36 2011  checkpointing every 300000 dimensions
Sat Dec 24 22:43:25 2011  lanczos halted after 44709 iterations (dim = 2827046)
Sat Dec 24 22:43:36 2011  recovered 33 nontrivial dependencies
Sat Dec 24 22:43:36 2011  BLanczosTime: 36496
Sat Dec 24 22:43:36 2011
Sat Dec 24 22:43:36 2011  commencing square root phase
Sat Dec 24 22:43:36 2011  reading relations for dependency 1
Sat Dec 24 22:43:37 2011  read 1412141 cycles
Sat Dec 24 22:43:41 2011  cycles contain 4548038 unique relations
Sat Dec 24 22:48:17 2011  read 4548038 relations
Sat Dec 24 22:48:44 2011  multiplying 4548038 relations
Sat Dec 24 22:52:19 2011  multiply complete, coefficients have about 109.49 million bits
Sat Dec 24 22:52:19 2011  initial square root is modulo 72213781
Sat Dec 24 22:56:56 2011  sqrtTime: 800
Sat Dec 24 22:56:56 2011  prp49 factor: 2502217974369070584941093470038927164030613375341
Sat Dec 24 22:56:56 2011  prp151 factor: 2686173751109068670037889554016005681075276252446318405297576219844272500438040625397353181492104822395180729189845675847258664483124687239005017353733
Sat Dec 24 22:56:56 2011  elapsed time 10:49:14

349322891214354885361351008291858753074642267827985839399801460429786391624311588002005052215844877006430109282397600857438201718652086487496318090676729559209668633843135089233<177>

219470749864621902937448980893645686316859<42>
1591660353053109970816562814076054768958911611319881667674089879209008624256442362948083432844881784365152933499302950797478353014127587<136>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2571286147
Step 1 took 93693ms
Step 2 took 30654ms
********** Factor found in step 2: 219470749864621902937448980893645686316859
Found probable prime factor of 42 digits: 219470749864621902937448980893645686316859
Probable prime cofactor 1591660353053109970816562814076054768958911611319881667674089879209008624256442362948083432844881784365152933499302950797478353014127587 has 136 digits

436128919708665881634611191068079724366522744123162806925727244973614200357625714161106022940381176675825373980548650180993501679096340878363644293253085612106938811112564874176806664049893148414671376859<204>

83111989633107340670706440960567495728466656357858069012282851312130352365070019032426685941<92>
5247485009490563413981631918729611873632766003410661832741437179241836015984390888596115573335737340778923910799<112>

Number: n
N=436128919708665881634611191068079724366522744123162806925727244973614200357625714161106022940381176675825373980548650180993501679096340878363644293253085612106938811112564874176806664049893148414671376859
  ( 204 digits)
SNFS difficulty: 208 digits.
Divisors found:

Thu Aug 23 23:38:19 2012  prp92 factor: 83111989633107340670706440960567495728466656357858069012282851312130352365070019032426685941
Thu Aug 23 23:38:19 2012  prp112 factor: 5247485009490563413981631918729611873632766003410661832741437179241836015984390888596115573335737340778923910799
Thu Aug 23 23:38:19 2012  elapsed time 13:40:11 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.100).
Factorization parameters were as follows:
name: KA_33337_208
n: 436128919708665881634611191068079724366522744123162806925727244973614200357625714161106022940381176675825373980548650180993501679096340878363644293253085612106938811112564874176806664049893148414671376859
m: 100000000000000000000000000000000000000000
#  c204, diff: 208
skew: 0.406
deg: 5
c5: 1000
c0: 11
# Murphy_E = 6.802e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 100000
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, 40900000)
Primes: RFBsize:1329943, AFBsize:1330733,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10682200 hash collisions in 64989820 relations (56428038 unique)
Msieve: matrix is 2868673 x 2868898 (809.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
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) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5662.11 BogoMIPS (lpj=2831056)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830455)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Total of 4 processors activated (22644.83 BogoMIPS).

2034741147616794234259894347330629570011750672480958113433461063074302682523907953924266400456404174255259828558580777932672727988710440861860761957442811442686482132327405598357194502403004569<193>

69511156733226282375474010285590323485318526146335441605069462593293045578375501027984032213<92>
29272152029145983772727024110327526577402504715676357936830919766378167407872395811344729822860466613<101>

Number: 1215
N = 2034741147616794234259894347330629570011750672480958113433461063074302682523907953924266400456404174255259828558580777932672727988710440861860761957442811442686482132327405598357194502403004569 (193 digits)
SNFS difficulty: 212 digits.
Divisors found:
Version: Msieve v. 1.53 (SVN unknown)
Total time: 101.93 hours.
Factorization parameters were as follows:
n: 2034741147616794234259894347330629570011750672480958113433461063074302682523907953924266400456404174255259828558580777932672727988710440861860761957442811442686482132327405598357194502403004569
m: 100000000000000000000000000000000000
c6: 10
c0: 11
type: snfs

Factor base limits: 23900000/23900000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 42661906
Relations: 6958468 relations
Pruned matrix : 4236354 x 4236580
Polynomial selection time: 0.00 hours.
Total sieving time: 92.93 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 8.44 hours.
time per square root: 0.20 hours.
Prototype def-par.txt line would be: snfs,212,6,0,0,0,0,0,0,0,0,23900000,23900000,29,29,58,58,2.6,2.6,100000
total time: 101.93 hours.
Intel64 Family 6 Model 45 Stepping 6, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 12, speed: 3.30GHz

Wed Jun  7 23:09:59 2017  Msieve v. 1.53 (SVN unknown)
Wed Jun  7 23:09:59 2017  random seeds: 8b59bff4 93ca914e
Wed Jun  7 23:09:59 2017  factoring 2034741147616794234259894347330629570011750672480958113433461063074302682523907953924266400456404174255259828558580777932672727988710440861860761957442811442686482132327405598357194502403004569 (193 digits)
Wed Jun  7 23:10:00 2017  searching for 15-digit factors
Wed Jun  7 23:10:02 2017  commencing number field sieve (193-digit input)
Wed Jun  7 23:10:02 2017  R0: -100000000000000000000000000000000000
Wed Jun  7 23:10:02 2017  R1: 1
Wed Jun  7 23:10:02 2017  A0: 11
Wed Jun  7 23:10:02 2017  A1: 0
Wed Jun  7 23:10:02 2017  A2: 0
Wed Jun  7 23:10:02 2017  A3: 0
Wed Jun  7 23:10:02 2017  A4: 0
Wed Jun  7 23:10:02 2017  A5: 0
Wed Jun  7 23:10:02 2017  A6: 10
Wed Jun  7 23:10:02 2017  skew 1.02, size 2.476e-10, alpha -0.691, combined = 6.353e-12 rroots = 0
Wed Jun  7 23:10:02 2017  
Wed Jun  7 23:10:02 2017  commencing square root phase
Wed Jun  7 23:10:02 2017  reading relations for dependency 1
Wed Jun  7 23:10:03 2017  read 2117904 cycles
Wed Jun  7 23:10:06 2017  cycles contain 6958468 unique relations
Wed Jun  7 23:11:13 2017  read 6958468 relations
Wed Jun  7 23:11:44 2017  multiplying 6958468 relations
Wed Jun  7 23:16:13 2017  multiply complete, coefficients have about 188.67 million bits
Wed Jun  7 23:16:14 2017  initial square root is modulo 5902033
Wed Jun  7 23:21:54 2017  sqrtTime: 712
Wed Jun  7 23:21:54 2017  p92 factor: 69511156733226282375474010285590323485318526146335441605069462593293045578375501027984032213
Wed Jun  7 23:21:54 2017  p101 factor: 29272152029145983772727024110327526577402504715676357936830919766378167407872395811344729822860466613
Wed Jun  7 23:21:54 2017  elapsed time 00:11:55
Wed Jun 07 23:21:54 2017 -> Computing 1.49685e+09 scale for this machine...
Wed Jun 07 23:21:54 2017 -> procrels -speedtest> PIPE
Wed Jun 07 23:21:56 2017 -> Factorization summary written to s212-1215.txt

core i7 3960X 3,3GHz windows 7 64bit

36842699702023886322007748220269532832333493744561252951817311705085937687030899024894848151485823732895916380968710682280866858614384598030286742648932918244450982768463<170>

4448816537425536272928910468249370038513<40>

8281460786725138080113599041808972254970477289824772003046982469840139229184965730106989675539524283550278288627774335448129881151<130>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3947757115
Step 1 took 297062ms
Step 2 took 82851ms
********** Factor found in step 2: 4448816537425536272928910468249370038513
Found probable prime factor of 40 digits: 4448816537425536272928910468249370038513
Composite cofactor 8281460786725138080113599041808972254970477289824772003046982469840139229184965730106989675539524283550278288627774335448129881151 has 130 digits

8281460786725138080113599041808972254970477289824772003046982469840139229184965730106989675539524283550278288627774335448129881151<130>

10614357837910468907065281548043895960270567256848656941597947<62>
780213076776712246508621757729108488610965703282847476801550097838733<69>

N = 8281460786725138080113599041808972254970477289824772003046982469840139229184965730106989675539524283550278288627774335448129881151 (130 digits)
Divisors found:
r1=10614357837910468907065281548043895960270567256848656941597947 (pp62)
r2=780213076776712246508621757729108488610965703282847476801550097838733 (pp69)
Version: Msieve v. 1.48
Total time: 43.00 hours.
Factorization parameters were as follows:
n: 8281460786725138080113599041808972254970477289824772003046982469840139229184965730106989675539524283550278288627774335448129881151
Y0: -20690473743541129949497164
Y1: 66137052507347
c0: -2649703300527345827053489073990935
c1: 31614286840377228895754421383
c2: -17120193491084863803411
c3: -48776289216384935
c4: 3370519378
c5: 2184
skew: 1759010.03
type: gnfs
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20374682
Relations: 2387438 relations
Pruned matrix : 1372726 x 1372950
Polynomial selection time: 0.00 hours.
Total sieving time: 40.11 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.55 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,7200000,7200000,28,28,55,55,2.5,2.5,100000
total time: 43.00 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

582085245068627646663755425521980432354642560281461033732288157365674967452558000676417979884449443082083629782072581222035933600674608858942776148356252677919550266038277704523319827966102824555263734879077<207>

2703227271369078854986548419764980974395284947<46>
215329747237206675142670347022373743646575448154194366235901757619306335305202134787431107774413204463003209338991730432373645922936288283045030941759054929538791<162>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 582085245068627646663755425521980432354642560281461033732288157365674967452558000676417979884449443082083629782072581222035933600674608858942776148356252677919550266038277704523319827966102824555263734879077 (207 digits)
[Tue Dec 27 22:29:59 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=4007623357
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35    40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 409440ms
Using 25 small primes for NTT
Estimated memory usage: 728M
Initializing tables of differences for F took 312ms
Computing roots of F took 13400ms
Building F from its roots took 9938ms
Computing 1/F took 4088ms
Initializing table of differences for G took 234ms
Computing roots of G took 11263ms
Building G from its roots took 9719ms
Computing roots of G took 11279ms
Building G from its roots took 9516ms
Computing G * H took 2309ms
Reducing  G * H mod F took 2246ms
Computing roots of G took 11248ms
Building G from its roots took 9688ms
Computing G * H took 2278ms
Reducing  G * H mod F took 2277ms
Computing roots of G took 11279ms
Building G from its roots took 9672ms
Computing G * H took 2325ms
Reducing  G * H mod F took 2277ms
Computing polyeval(F,G) took 19937ms
Computing product of all F(g_i) took 94ms
Step 2 took 146048ms
********** Factor found in step 2: 2703227271369078854986548419764980974395284947
Found probable prime factor of 46 digits: 2703227271369078854986548419764980974395284947
Probable prime cofactor 215329747237206675142670347022373743646575448154194366235901757619306335305202134787431107774413204463003209338991730432373645922936288283045030941759054929538791 has 162 digits

GMP-ECM

2399126223613925185819824472920298009631502688964872721402761678492282459954485104256145574495599216275751576046942055922241882022013917123876026868089123218539050569812431342608524675145484963<193>

299040435519009543460440460463<30>
8022748560575234978165296971879340024021398588778319341607174232188146509030703478792411916904937012398246894565495496908217581128871212648692337482273837311911501<163>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=284858214
Step 1 took 9369ms
Step 2 took 5804ms
********** Factor found in step 2: 299040435519009543460440460463
Found probable prime factor of 30 digits: 299040435519009543460440460463
Probable prime cofactor 802274856057... has 163 digits

7975895224353303611059029577336205893623425845366635085161287382502387221155846080345762388723614452993486384519091064837242904741159553689585665545224935000385282220284418893<175>

196653491293980608356743455686109449587719394228958088958935227220193949710102631292732757035106115408728548545531471267345174041031519337835288650587879885749936013113059816581553790604468145135521553<201>

229486896925603022430078596219036071<36>

856926883096656182760395451440239083784120214890030432489232901160321184835111464786307375759808527286952869249178948716900983469644576586728376645511029687939985543<165>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3974914283
Step 1 took 10757ms
Step 2 took 6076ms
********** Factor found in step 2: 229486896925603022430078596219036071
Found probable prime factor of 36 digits: 229486896925603022430078596219036071
Composite cofactor 856926883096... has 165 digits

856926883096656182760395451440239083784120214890030432489232901160321184835111464786307375759808527286952869249178948716900983469644576586728376645511029687939985543<165>

578680814373464111095951020091137019831310498291766306895748615676843109<72>
1480828224838330282167179876700229948854836710593816822525218820069241003815301966490428642427<94>

1480828224838330282167179876700229948854836710593816822525218820069241003815301966490428642427
578680814373464111095951020091137019831310498291766306895748615676843109

cado-nfs

2x Xeon E5-2698 v4, 256GB DDR4, Ubuntu Server 22.04

13611229449408482510026133696655158780504075276958914871410155629572513886142256212910335522386531993351349973306337365292554525462247900804735357614432770592024099933973287063864392192114228050895490271652781239<212>

7327180034456601323086759414870251959676590308607501999578561974519844599859027948389468413532629<97>
1857635459399206527187615688615868277516907889500301469257032409240265580642867019442771463618197166730799611328091<115>

Number: 33337_219
N = 13611229449408482510026133696655158780504075276958914871410155629572513886142256212910335522386531993351349973306337365292554525462247900804735357614432770592024099933973287063864392192114228050895490271652781239 (212 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=7327180034456601323086759414870251959676590308607501999578561974519844599859027948389468413532629 (pp97)
r2=1857635459399206527187615688615868277516907889500301469257032409240265580642867019442771463618197166730799611328091 (pp115)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 75.61 hours.
Factorization parameters were as follows:
n: 13611229449408482510026133696655158780504075276958914871410155629572513886142256212910335522386531993351349973306337365292554525462247900804735357614432770592024099933973287063864392192114228050895490271652781239
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: 110
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Relations: 7149464 relations
Pruned matrix : 6536044 x 6536269
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 36.87 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 37.78 hours.
time per square root: 0.53 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 75.61 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

765127033282888101065574787994727911792266935593040171080823822271838022551568224338582625349067737395356700491218622853671865254317437617587774552303876938338532101879569178974573668639489086573943205197663<207>

8368387121121814493833121039467<31>

91430645142085620695409499690043499116711952578322470086394855908397087163360267194562499068341542844931317075551387078038551351065619742100133816764726606933957839657818535389<176>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3027903719
Step 1 took 36865ms
Step 2 took 12876ms
********** Factor found in step 2: 8368387121121814493833121039467
Found probable prime factor of 31 digits: 8368387121121814493833121039467
Composite cofactor 91430645142085620695409499690043499116711952578322470086394855908397087163360267194562499068341542844931317075551387078038551351065619742100133816764726606933957839657818535389 has 176 digits

91430645142085620695409499690043499116711952578322470086394855908397087163360267194562499068341542844931317075551387078038551351065619742100133816764726606933957839657818535389<176>

25511998331256667172196251588216309753917<41>

3583829222427749357759813272671423464779822544359218959949115965245350901719361625314856787216175069777916130339709388827582697845456417<136>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1057374019
Step 1 took 347645ms
Step 2 took 90191ms
********** Factor found in step 2: 25511998331256667172196251588216309753917
Found probable prime factor of 41 digits: 25511998331256667172196251588216309753917

3583829222427749357759813272671423464779822544359218959949115965245350901719361625314856787216175069777916130339709388827582697845456417<136>

161197338674544225070739459084652980423447089570435019<54>
22232558253728145182885644641709759465044813112255629222657023427954629399076197443<83>

N=3583829222427749357759813272671423464779822544359218959949115965245350901719361625314856787216175069777916130339709388827582697845456417
  ( 136 digits)
Divisors found:
 r1=161197338674544225070739459084652980423447089570435019 (pp54)
 r2=22232558253728145182885644641709759465044813112255629222657023427954629399076197443 (pp83)
Version: Msieve-1.40
Total time: 269.54 hours.
Scaled time: 535.84 units (timescale=1.988).
Factorization parameters were as follows:
# Murphy_E = 3.89e-11, selected by Dmitry Domanov
n: 3583829222427749357759813272671423464779822544359218959949115965245350901719361625314856787216175069777916130339709388827582697845456417
Y0: -495479574559106441935773920
Y1: 421235869579003
c0: 4426540182347172575937279590778971139
c1: 500106426702526727404633142562
c2: -585713441683708444822087
c3: -24615849855117394
c4: 12117006356
c5: 120
skew: 7755145.73
type: gnfs
# selected mechanically
rlim: 13800000
alim: 13800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
qintsize: 640000Factor base limits: 13800000/13800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [6900000, 10740001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1849533 x 1849760
Total sieving time: 265.14 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.81 hours.
Time per square root: 0.37 hours.
Prototype def-par.txt line would be:
gnfs,135,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,13800000,13800000,28,28,55,55,2.6,2.6,100000
total time: 269.54 hours.
 --------- CPU info (if available) ----------

4363611410951676308560759934324110823872836592606479202984020527557634453768980960052007212121395452750611176381580183660136572358076848751702665316492277811<157>

274198545011587866914283453835471821427350967986800449843784246243<66>
15914057497158733385027370214856961402441735027836646772474189983657120864224484581733329777<92>

Number: 33337_221
N = 4363611410951676308560759934324110823872836592606479202984020527557634453768980960052007212121395452750611176381580183660136572358076848751702665316492277811 (157 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=274198545011587866914283453835471821427350967986800449843784246243 (pp66)
r2=15914057497158733385027370214856961402441735027836646772474189983657120864224484581733329777 (pp92)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 62.79 hours.
Factorization parameters were as follows:
n: 4363611410951676308560759934324110823872836592606479202984020527557634453768980960052007212121395452750611176381580183660136572358076848751702665316492277811
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 10
c0: 11
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Relations: 6671276 relations
Pruned matrix : 6126957 x 6127182
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 29.85 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 32.33 hours.
time per square root: 0.18 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 62.79 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

4369418669395458888044644133899820410489001420681627909691322354351814187935079561329275018257518132766929425774610342707799989151008737419062863974840258411144348912917993004209<178>

1057382268011764007008812069613009578485558613776045005966772530271252486996117933<82>
4132298035989805822038581517357044286872346381984135221092103909134207153494500106362970679674773<97>

Number: 33337_222
N = 4369418669395458888044644133899820410489001420681627909691322354351814187935079561329275018257518132766929425774610342707799989151008737419062863974840258411144348912917993004209 (178 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=1057382268011764007008812069613009578485558613776045005966772530271252486996117933 (pp82)
r2=4132298035989805822038581517357044286872346381984135221092103909134207153494500106362970679674773 (pp97)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 61.01 hours.
Factorization parameters were as follows:
n: 4369418669395458888044644133899820410489001420681627909691322354351814187935079561329275018257518132766929425774610342707799989151008737419062863974840258411144348912917993004209
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 100
c0: 11
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 22369622
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/22369622
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33305213
Relations: 8221050 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 31.50 hours.
Total relation processing time: 0.35 hours.
Pruned matrix : 7154898 x 7155123
Matrix solve time: 28.70 hours.
time per square root: 0.46 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,22369622,29,28,58,56,2.8,2.8,100000
total time: 61.01 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

174226854642005443296631201342471295383280466421771838428044079807953126763362226366372338122630358691795845590789527618032574964478832150022901991539148684917918389058324149218962473589576332020431270029637737<210>

5355199913135807979355750733693141116160690463077<49>
32534145777572775871553838086470793709155828548755930585636583335295099296182717705240361242312393931391326469179082807071285192984712452031456037800541917670581<161>

GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 174226854642005443296631201342471295383280466421771838428044079807953126763362226366372338122630358691795845590789527618032574964478832150022901991539148684917918389058324149218962473589576332020431270029637737 (210 digits)
Using B1=28070000, B2=144287213086, polynomial Dickson(12), sigma=2678948261
Step 1 took 155114ms
Step 2 took 39761ms
********** Factor found in step 2: 5355199913135807979355750733693141116160690463077
Found probable prime factor of 49 digits: 5355199913135807979355750733693141116160690463077
Probable prime cofactor 32534145777572775871553838086470793709155828548755930585636583335295099296182717705240361242312393931391326469179082807071285192984712452031456037800541917670581 has 161 digits

1054117297910219789651994836581200586081511933957808791332530344110239823018880116855448682091980845625824921434806868464586087503851160268669960243448378898933439225479902009196498758519083520265061354023209411<211>

10757335365820934184724267388641359146777552238228217012931411789204574285710013052038574351609533904264727549871607754900051035197706800747276691457634976677614599750546641829234887694170216975233104257313<206>

738921303739552655068000837790142493614394584808657510565939880416196421464156761490378395560704525336454329357363433157028066657737655315051391629227450393213525107<165>

1822156996336655294052941087631449964602233<43>
15711893410498064534124433838879151879483739768013295630090229<62>
25809754329964032832418444146354848648088131899580926577618751<62>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3417272599
Step 1 took 72849ms
Step 2 took 25230ms
********** Factor found in step 2: 1822156996336655294052941087631449964602233
Found probable prime factor of 43 digits: 1822156996336655294052941087631449964602233
Composite cofactor 405520108983535776262918612006810251507699892049001775911781719192307849136925901282840010654961826809190240618530092283979 has 123 digits

Sun Nov 20 11:22:26 2011  Msieve v. 1.48
Sun Nov 20 11:22:26 2011  random seeds: cc712e79 c7d38cb7
Sun Nov 20 11:22:26 2011  factoring 405520108983535776262918612006810251507699892049001775911781719192307849136925901282840010654961826809190240618530092283979 (123 digits)
Sun Nov 20 11:22:27 2011  searching for 15-digit factors
Sun Nov 20 11:22:27 2011  commencing number field sieve (123-digit input)
Sun Nov 20 11:22:27 2011  R0: -371740821602891710379816
Sun Nov 20 11:22:27 2011  R1:  32586925257583
Sun Nov 20 11:22:27 2011  A0:  402943408476563235765457497645
Sun Nov 20 11:22:27 2011  A1: -11977247317067738107839227
Sun Nov 20 11:22:27 2011  A2: -270343359338693432133
Sun Nov 20 11:22:27 2011  A3:  7034402861506377
Sun Nov 20 11:22:27 2011  A4:  34394759018
Sun Nov 20 11:22:27 2011  A5:  57120
Sun Nov 20 11:22:27 2011  skew 100703.78, size 8.224e-12, alpha -6.943, combined = 1.922e-10 rroots = 1
Sun Nov 20 11:22:27 2011
Sun Nov 20 11:22:27 2011  commencing square root phase
Sun Nov 20 11:22:27 2011  reading relations for dependency 1
Sun Nov 20 11:22:27 2011  read 365685 cycles
Sun Nov 20 11:22:28 2011  cycles contain 1178698 unique relations
Sun Nov 20 11:23:29 2011  read 1178698 relations
Sun Nov 20 11:23:36 2011  multiplying 1178698 relations
Sun Nov 20 11:25:32 2011  multiply complete, coefficients have about 55.30 million bits
Sun Nov 20 11:25:33 2011  initial square root is modulo 86964751
Sun Nov 20 11:28:12 2011  reading relations for dependency 2
Sun Nov 20 11:28:12 2011  read 364994 cycles
Sun Nov 20 11:28:13 2011  cycles contain 1177694 unique relations
Sun Nov 20 11:29:10 2011  read 1177694 relations
Sun Nov 20 11:29:17 2011  multiplying 1177694 relations
Sun Nov 20 11:31:18 2011  multiply complete, coefficients have about 55.26 million bits
Sun Nov 20 11:31:19 2011  initial square root is modulo 85721777
Sun Nov 20 11:33:52 2011  reading relations for dependency 3
Sun Nov 20 11:33:52 2011  read 365624 cycles
Sun Nov 20 11:33:53 2011  cycles contain 1177690 unique relations
Sun Nov 20 11:34:56 2011  read 1177690 relations
Sun Nov 20 11:35:03 2011  multiplying 1177690 relations
Sun Nov 20 11:37:02 2011  multiply complete, coefficients have about 55.25 million bits
Sun Nov 20 11:37:03 2011  initial square root is modulo 85655771
Sun Nov 20 11:39:41 2011  reading relations for dependency 4
Sun Nov 20 11:39:41 2011  read 366000 cycles
Sun Nov 20 11:39:42 2011  cycles contain 1178974 unique relations
Sun Nov 20 11:40:47 2011  read 1178974 relations
Sun Nov 20 11:40:55 2011  multiplying 1178974 relations
Sun Nov 20 11:42:57 2011  multiply complete, coefficients have about 55.32 million bits
Sun Nov 20 11:42:57 2011  initial square root is modulo 87466949
Sun Nov 20 11:45:35 2011  reading relations for dependency 5
Sun Nov 20 11:45:35 2011  read 366108 cycles
Sun Nov 20 11:45:36 2011  cycles contain 1177436 unique relations
Sun Nov 20 11:46:32 2011  read 1177436 relations
Sun Nov 20 11:46:38 2011  multiplying 1177436 relations
Sun Nov 20 11:48:29 2011  multiply complete, coefficients have about 55.25 million bits
Sun Nov 20 11:48:29 2011  initial square root is modulo 85402417
Sun Nov 20 11:51:27 2011  reading relations for dependency 6
Sun Nov 20 11:51:27 2011  read 365359 cycles
Sun Nov 20 11:51:27 2011  cycles contain 1177482 unique relations
Sun Nov 20 11:52:30 2011  read 1177482 relations
Sun Nov 20 11:52:37 2011  multiplying 1177482 relations
Sun Nov 20 11:54:24 2011  multiply complete, coefficients have about 55.25 million bits
Sun Nov 20 11:54:25 2011  initial square root is modulo 85458383
Sun Nov 20 11:57:11 2011  sqrtTime: 2084
Sun Nov 20 11:57:11 2011  prp62 factor: 15711893410498064534124433838879151879483739768013295630090229
Sun Nov 20 11:57:11 2011  prp62 factor: 25809754329964032832418444146354848648088131899580926577618751
Sun Nov 20 11:57:11 2011  elapsed time 00:34:45

77343401725790450191459312475472887930648615007914721520382434172847214049763010818356368710575697199067580222853376000391745100636742700808839808495801627688306897341210129497<176>

30589745902492089343862419177875170185472993<44>

2528409420997819665330050907257757469326654120698407580471368182161180193545750000037655267766646366954279010179598596326047236183929<133>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2892516880
Step 1 took 343361ms
Step 2 took 88299ms
********** Factor found in step 2: 30589745902492089343862419177875170185472993
Found probable prime factor of 44 digits: 30589745902492089343862419177875170185472993

2528409420997819665330050907257757469326654120698407580471368182161180193545750000037655267766646366954279010179598596326047236183929<133>

1201975905603453580840473550317603120642604254798781102124803537<64>
2103544180220840947156628735985649285519926671702514252199712679557417<70>

N=2528409420997819665330050907257757469326654120698407580471368182161180193545750000037655267766646366954279010179598596326047236183929
  ( 133 digits)
Divisors found:
 r1=1201975905603453580840473550317603120642604254798781102124803537 (pp64)
 r2=2103544180220840947156628735985649285519926671702514252199712679557417 (pp70)
Version: Msieve-1.40
Total time: 174.76 hours.
Scaled time: 344.11 units (timescale=1.969).
Factorization parameters were as follows:
# Murphy_E = 5.393e-11, selected by Dmitry Domanov
n: 2528409420997819665330050907257757469326654120698407580471368182161180193545750000037655267766646366954279010179598596326047236183929
Y0: -58109192423926522528541948
Y1: 208685199520159
c0: 99353637024863927231217812436058275
c1: 171906369188093546705421172965
c2: -180145987568233701152945
c3: -123309666278514133
c4: 36296589078
c5: 3816
skew: 2382201.6
type: gnfs
# selected mechanically
rlim: 11400000
alim: 11400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
qintsize: 400000Factor base limits: 11400000/11400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [5700000, 12900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1708694 x 1708922
Total sieving time: 171.01 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 3.22 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
gnfs,132,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,11400000,11400000,28,28,54,54,2.6,2.6,100000
total time: 174.76 hours.
 --------- CPU info (if available) ----------

23530387686571992581394748655752380293245069817931929317965108574815493976308351674824334807083273826811131533043207523535153532335911695082650582661348390515615862830931<170>

2081624782782932113151180720779358730114307<43>

11303856430414960528449550798855378945969504458684316009861987061500654754389851729760250845552442296541427787097672420413848433<128>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2668946634
Step 1 took 285681ms
Step 2 took 80073ms
********** Factor found in step 2: 2081624782782932113151180720779358730114307
Found probable prime factor of 43 digits: 2081624782782932113151180720779358730114307

11303856430414960528449550798855378945969504458684316009861987061500654754389851729760250845552442296541427787097672420413848433<128>

34419373997352239764049734801856774942071570172364075613<56>
328415514799441909356185528559739708432467102547471956577585417799599141<72>

N = 11303856430414960528449550798855378945969504458684316009861987061500654754389851729760250845552442296541427787097672420413848433 (128 digits)
Divisors found:
r1=34419373997352239764049734801856774942071570172364075613 (pp56)
r2=328415514799441909356185528559739708432467102547471956577585417799599141 (pp72)
Version: Msieve v. 1.48
Total time: 31.92 hours.
Factorization parameters were as follows:
n: 11303856430414960528449550798855378945969504458684316009861987061500654754389851729760250845552442296541427787097672420413848433
Y0: -6367419286874204770289797
Y1: 35881323606581
c0: -57879735874388499825119519098296
c1: -1298331908219921311345308788
c2: 1462922997487433886070
c3: 440615471463613
c4: -6339366354
c5: 1080
skew: 912080.91 
type: gnfs
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19171458
Relations: 2088680 relations
Pruned matrix : 1177857 x 1178084
Polynomial selection time: 0.00 hours.
Total sieving time: 29.95 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.78 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: gnfs,127,5,65,2000,1e-05,0.28,250,20,50000,3600,6400000,6400000,28,28,55,55,2.5,2.5,100000
total time: 31.92 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

280118887767513372623210391758337728799751237276273162027703225653401180543832547239704091839970510594934628800040356008344518765880370143111209177834525574790852046484766578248290942486556660259547695871531977211<213>

107526881720430107526881720430107526881720430107526881720430107526881720430107526881720430107526881720430107526881720430107526881720430107526881720430107526881720430107526881720430107526881720430107526881720430107526881720430107527<231>

719942044427997384790818236619382037170042887299223582965170885155702323596241863674307800078101783769084823851288247692709820641150917263364853712802679523368833981013810662149390584215773522598723640528889816389681<216>

308356460067838421214924452667283379586802343509096515572001233425840271353684859697810669133518347209374036386062288004933703361085414739438791242676534073388837496145544249152019734813444341658957755164970706136293555349984582177<231>

630318591849727088830723052220627601740758629<45>
489207305726043104265049884489753092162208871431706878664093512283044340548426727117271605056175060005907866018798081979442559871424094965641480748388854188506945607948782630396403680013<186>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 308356460067838421214924452667283379586802343509096515572001233425840271353684859697810669133518347209374036386062288004933703361085414739438791242676534073388837496145544249152019734813444341658957755164970706136293555349984582177 (231 digits)
[Sat Dec 31 20:12:54 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=270389485
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 552446ms
Using 28 small primes for NTT
Estimated memory usage: 791M
Initializing tables of differences for F took 343ms
Computing roots of F took 15335ms
Building F from its roots took 9999ms
Computing 1/F took 4010ms
Initializing table of differences for G took 281ms
Computing roots of G took 12917ms
Building G from its roots took 10078ms
Computing roots of G took 12979ms
Building G from its roots took 10156ms
Computing G * H took 2138ms
Reducing  G * H mod F took 2106ms
Computing roots of G took 12854ms
Building G from its roots took 10062ms
Computing G * H took 2138ms
Reducing  G * H mod F took 2152ms
Computing roots of G took 13120ms
Building G from its roots took 10202ms
Computing G * H took 2122ms
Reducing  G * H mod F took 2012ms
Computing polyeval(F,G) took 21450ms
Computing product of all F(g_i) took 63ms
Step 2 took 156843ms
********** Factor found in step 2: 630318591849727088830723052220627601740758629
Found probable prime factor of 45 digits: 630318591849727088830723052220627601740758629
Probable prime cofactor 489207305726043104265049884489753092162208871431706878664093512283044340548426727117271605056175060005907866018798081979442559871424094965641480748388854188506945607948782630396403680013 has 186 digits

GMP-ECM

3700425683000374287629736922946737297255049489164664573253886830502554926345997376083150124320977912161018195502589380230201897423746135536325618802548234357322119759305185849775191747<184>

2287769741567614300722047801228553112336636712234907473674260318362519987926048393217890874544530226293306102446875579947829642748338994056612109637444756306434726154942120171270428037574138494251929993097425101769486407<220>

27738025787103383573813321853587894388041665941485854773139910914812169390982878351018171609886438305082258186646006753178677077978197559166803545822471861954948346535350682284118801005385390509533073950385753589461<215>

1574742858440094399316843824871391<34>

17614320737152007880147619135327021312267663066664897590296861641337267502597027393163076678240443500232116537354831302480137714488308087895431296090836075937588381357240507575117771<182>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=242150995
Step 1 took 114557ms
Step 2 took 35954ms
********** Factor found in step 2: 1574742858440094399316843824871391
Found probable prime factor of 34 digits: 1574742858440094399316843824871391
Composite cofactor 17614320737152007880147619135327021312267663066664897590296861641337267502597027393163076678240443500232116537354831302480137714488308087895431296090836075937588381357240507575117771 has 182 digits

17614320737152007880147619135327021312267663066664897590296861641337267502597027393163076678240443500232116537354831302480137714488308087895431296090836075937588381357240507575117771<182>

1587069267921462752693361859665274228819<40>
11098646475727526357205462372478832329070013698511521388669342238953506736489550108946461470115243987010669083518920421043834712569733598493609<143>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2409021814
Step 1 took 345988ms
Step 2 took 89026ms
********** Factor found in step 2: 1587069267921462752693361859665274228819
Found probable prime factor of 40 digits: 1587069267921462752693361859665274228819
Probable prime cofactor 11098646475727526357205462372478832329070013698511521388669342238953506736489550108946461470115243987010669083518920421043834712569733598493609 has 143 digits

7078633889510069054175678569031841611138617906016512052488537721278365952355317099592456323965644374879254468920042817641005847794121860486560425398416732177807415606606228104599150615452034663313<196>

1598435279310195105847088783134223<34>
4428477011946867295534347756775547763424881252958212726346485026547588079437462168000785891259616579052493106087697585413226581841940909429321211366690445849588831<163>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1458747038
Step 1 took 36893ms
Step 2 took 12660ms
********** Factor found in step 2: 1598435279310195105847088783134223
Found probable prime factor of 34 digits: 1598435279310195105847088783134223
Probable prime cofactor 4428477011946867295534347756775547763424881252958212726346485026547588079437462168000785891259616579052493106087697585413226581841940909429321211366690445849588831 has 163 digits

2664044830231853884705910313590309935282912184838481355271132275583143196887620840103964899264437194997059721780124872151074373321<130>

124686267379656147984383095594639637980250828274133<51>
21365984291759465303437740325952055116532597230274309854749014791095024560428837<80>

N = 2664044830231853884705910313590309935282912184838481355271132275583143196887620840103964899264437194997059721780124872151074373321 (130 digits)
Divisors found:
r1=124686267379656147984383095594639637980250828274133 (pp51)
r2=21365984291759465303437740325952055116532597230274309854749014791095024560428837 (pp80)
Version: Msieve v. 1.48
Total time: 39.60 hours.
Factorization parameters were as follows:
n: 2664044830231853884705910313590309935282912184838481355271132275583143196887620840103964899264437194997059721780124872151074373321
Y0: -13606652696597218650924176
Y1: 89443016231969
c0: 64444503261742736238490591853305
c1: 1046303508127899950233419387
c2: 3444464884331182330811
c3: -4407934479014131
c4: -6340127884
c5: 5712
skew: 600504.86 
type: gnfs
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19963687
Relations: 2286266 relations
Pruned matrix : 1312457 x 1312683
Polynomial selection time: 0.00 hours.
Total sieving time: 37.14 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.24 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,7200000,7200000,28,28,55,55,2.5,2.5,100000
total time: 39.60 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

30829171380213740575701977360000531592857468202055227143981111329344720205047838986655700782589717975015460249816767213993031417815299128828046810575916424311268537950017945073477792247588391386666152615243191558243799745539<224>

241288556848904787359151848860582389811668515831123016594197740981903008995458179755504168718092365946383561187145901663392293851243139524649667364389802020736385067145745281809168853324158603222697138063560193131023<216>

4265939801827378080190665250756170886187<40>

56561641293096842079332550545429536259372395461970340317088380435337118300440247080006016762328171680219823157844971704325576686863874182245933368459342736780080485275717286829<176>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=288539219
Step 1 took 458243ms
Step 2 took 87310ms
********** Factor found in step 2: 4265939801827378080190665250756170886187
Found probable prime factor of 40 digits: 4265939801827378080190665250756170886187
Composite cofactor 56561641293096842079332550545429536259372395461970340317088380435337118300440247080006016762328171680219823157844971704325576686863874182245933368459342736780080485275717286829 has 176 digits

37453183520599250936329588014981273408239700374531835205992509363295880149812734082397003745318352059925093632958801498127340823970037453183520599250936329588014981273408239700374531835205992509363295880149812734082397003745318352059925093633<242>

98509342588036501354020695928469045987862311464119270748298874638103898022696764960975683322423323596456154953063313957580206214403286562586570369291037424573179166366379701436443527842210079780759993759119052748748117159657579<227>

186532363365043835105390785301249766834545793695206118261518373437791456817757880992352173102033202760678977802648759559783622458496549151277746689050550270471926879313560902816638686812161910091400858048871479201641484797612385748927438910651<243>

640342570977605249401060495519645317665279<42>
291300893957849080714680359871596493488217094697807768717970961995188814440991977327634555131596874173084295900398769248951662635464133292458813441611699852416394000518144374928198813706752574163641669<201>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=980568096
Step 1 took 542016ms
Step 2 took 127966ms
********** Factor found in step 2: 640342570977605249401060495519645317665279
Found probable prime factor of 42 digits: 640342570977605249401060495519645317665279
Probable prime cofactor 291300893957849080714680359871596493488217094697807768717970961995188814440991977327634555131596874173084295900398769248951662635464133292458813441611699852416394000518144374928198813706752574163641669 has 201 digits

540254431378278842905241624301095513817893965157673491249111998098180589098705132427678614749626712946434628780435499856284096215155921839978719533278948863927701063204462336811976275774738664542697414454333<207>

556999399194002193990651773257868260732307<42>

969937188729549958201272767519287686101316197443720924444283121078632540298687929544056094279780825527769456885784198066239596018768699086430500722071414754121441519<165>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4051357688
Step 1 took 397587ms
Step 2 took 102002ms
********** Factor found in step 2: 556999399194002193990651773257868260732307
Found probable prime factor of 42 digits: 556999399194002193990651773257868260732307
Composite cofactor 969937188729549958201272767519287686101316197443720924444283121078632540298687929544056094279780825527769456885784198066239596018768699086430500722071414754121441519 has 165 digits

969937188729549958201272767519287686101316197443720924444283121078632540298687929544056094279780825527769456885784198066239596018768699086430500722071414754121441519<165>

6831958061247735781819068517891465304714996948236159053317368271<64>
141970600526843421512102949027249852209432294988259828258461662781630220626798496500659681642600267489<102>

Factors:
141970600526843421512102949027249852209432294988259828258461662781630220626798496500659681642600267489
6831958061247735781819068517891465304714996948236159053317368271

cado-nfs

2x Xeon E5-2698 v4, 256GB DDR4, Ubuntu Server 22.04

247096614776377563627378304917222634049913516184828267852730417593278972078082530269335310106251544353842352359772671114405732641462811959476155176674079565109957993575488015814183345688164072152211514702248579194465035829009142574746725969854213<246>

2762389835698389076803798769631<31>

89450305522828731135072470664221135102961619965807413815899829949856607482095912714862271987385092318793422915992746074665030371915216963135687971442134505282555462998788875514805115344031904007165331069170330381723<215>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4238576079
Step 1 took 111366ms
Step 2 took 37894ms
********** Factor found in step 2: 2762389835698389076803798769631
Found probable prime factor of 31 digits: 2762389835698389076803798769631
Composite cofactor 8945030552282873113507247066422113510296161996580741381589982994985660748209591271486227
19873850923187934229159927460746650303719152169631356879714421345052825554629987888755148051153440319040071
65331069170330381723 has 215 digits

12044142589614328811301868122260622466716524710058009550022990881975197773454222649232210370872768330930049100784325006220879384154143747130697302441015890904659472490868613880616930990445478990668628849724986653042216510802722432169<233>

193972491391037240643964362700363277<36>
62092013683187886237955250397131285187617981426977479372946619545387647828912856193010629517226175195853987818280537844673273793026372225381255806112387376899572742433161840944689871007197102185997<197>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3:846837158
Step 1 took 318074ms
Step 2 took 90977ms
********** Factor found in step 2: 193972491391037240643964362700363277
Found prime factor of 36 digits: 193972491391037240643964362700363277

4841826093890325291147920541005732149548304882880182208468296788464356253576102177816864517830403793738163289806277724802308352113305301336185722237085524645004316144036915560104008869656582788638533751069977489117603750567<223>

71399592866579669310888078702766357109137003429872700272444447545730285577677389757699693638751078075358388213338032130136360233848116892291634268889531251887542546020766382045086729850009831095622751231266301907103<215>

185378240818101879019275572455360015076772335154618726354851765149895234520061132887864187145744662877608243334334975159425421033074332097029247471176444413794957888961585144303751278107435588432689<198>

55081804399302294204439719718762861613378606668454192851588149257748591836114980708849503974778384326289452684727771681850407335551522910515825929166306693828410101063987088255434451528437544779031361483<203>

5209388780186294830947377804750839905570334459645792412870269863269455712627393170004586686329670472843888588633312867460829611162525212325931647963298110335801455441681948965013326280434398023778238178915317303<211>

28869716666821790205496149494338652819798954811356669835160551849090698176944440990294891847268637609259069440526712815846304337667938729263132390383714267261346834073644437740024453786623193488478174972949253135919<215>

5650481467926109453673572857469066022832894761858855831515238949549303738544307116622845680818129482892798900664904584062929396116531506315206650807184849907481818163593105637721855598512502276462746083976377870638652711072173<226>

90110202730373219723697143414600999955874827006080771458751230166720984296108219080054494230082323195588281904504281966165226340018359199434333753762434660884297315462402205403434703458569372777145863018936657280227759470372107140119308859446658788289<251>

968547614423421161423813276722229433448940530888310221868453801212825204046968059625140363502797070554438843517381416924795801195384544969455864029087440962870003675213151319702272148890766392193503493326605608161427788120741030442219<234>