179045579633207225563411677710794837041665696836443653460861531520079066527966024310808802596877087<99>

1069689248152560784613646023601296162773<40>
167380928566341408876131841908127319110362623117521294742819<60>

Number: 99979_104
N=179045579633207225563411677710794837041665696836443653460861531520079066527966024310808802596877087
  ( 99 digits)
SNFS difficulty: 104 digits.
Divisors found:
 r1=1069689248152560784613646023601296162773 (pp40)
 r2=167380928566341408876131841908127319110362623117521294742819 (pp60)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 0.37 hours.
Scaled time: 0.68 units (timescale=1.847).
Factorization parameters were as follows:
n: 179045579633207225563411677710794837041665696836443653460861531520079066527966024310808802596877087
m: 100000000000000000000000000
deg: 4
c4: 1
c0: -21
skew: 2.14
# Murphy_E = 2.901e-07
type: snfs
lss: 1
rlim: 380000
alim: 380000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 380000/380000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [190000, 270001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 38671 x 38901
Total sieving time: 0.36 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,104.000,4,0,0,0,0,0,0,0,0,380000,380000,25,25,44,44,2.2,2.2,10000
total time: 0.37 hours.
 --------- CPU info (if available) ----------

10553881725698331167813503314211701717178330090393183349646058615071610993310609292203996904427<95>

3146109774856188351909735363207743399<37>
3354581524791441540067340295304780889014287458545214943773<58>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=360984677
Step 1 took 1655ms
Step 2 took 1551ms
********** Factor found in step 2: 3146109774856188351909735363207743399
Found probable prime factor of 37 digits: 3146109774856188351909735363207743399
Probable prime cofactor 3354581524791441540067340295304780889014287458545214943773 has 58 digits

117205631115948791767408959972234079753136623989334231309745724293745736286225912070106285711391070070382110411321477<117>

48156473634959783181545962328353<32>

2433849953474623297531495360935666671367284376571122807287710761050823105612084027109<85>

Input number is 117205631115948791767408959972234079753136623989334231309745724293745736286225912070106285711391070070382110411321477 (117 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3897314047
Step 1 took 3248ms
Step 2 took 2384ms
********** Factor found in step 2: 48156473634959783181545962328353
Found probable prime factor of 32 digits: 48156473634959783181545962328353
Composite cofactor 2433849953474623297531495360935666671367284376571122807287710761050823105612084027109 has 85 digits

2433849953474623297531495360935666671367284376571122807287710761050823105612084027109<85>

62474364420962885484279556812744112127<38>
38957578456899995954095124169750938894129219867<47>

61440 rels found: 19309 full + 42131 from 641614 partial, (4899.72 rels/sec)

SIQS elapsed time = 149.0593 seconds.


***factors found***

P38 = 62474364420962885484279556812744112127
P47 = 38957578456899995954095124169750938894129219867

YAFU

16683008304579388049100332447358340246994041425394971904821339521255146707112853846887252908529608693173356603897<113>

25212674983972242955073386486699949071<38>
661691324509787868089320427919562965560787942214531374642297251505886892407<75>

N=16683008304579388049100332447358340246994041425394971904821339521255146707112853846887252908529608693173356603897
  ( 113 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=25212674983972242955073386486699949071 (pp38)
 r2=661691324509787868089320427919562965560787942214531374642297251505886892407 (pp75)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.40 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 16683008304579388049100332447358340246994041425394971904821339521255146707112853846887252908529608693173356603897
m: 100000000000000000000000000
deg: 5
c5: 1
c0: -21
skew: 1.84
# Murphy_E = 1.209e-08
type: snfs
lss: 1
rlim: 1030000
alim: 1030000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3

Factor base limits: 1030000/1030000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [515000, 765001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 123819 x 124047
Total sieving time: 1.33 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,130.000,5,0,0,0,0,0,0,0,0,1030000,1030000,26,26,47,47,2.3,2.3,50000
total time: 1.40 hours.
 --------- CPU info (if available) ----------
[    0.074811] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49295964k/51380224k available (5351k kernel code, 1057796k absent, 1026464k reserved, 7000k data, 1344k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.38 BogoMIPS (lpj=2400194)
[    0.709831] Total of 16 processors activated (76642.81 BogoMIPS).

313479623824451410658307210031347962382445141065830721003134796238244514106583072100313479623824451410658307210031347962382445141<129>

173618474595818488288561601537<30>
1805566052542667635283958274436700951470436947950689906932248676043437634741272301095274558910340693<100>

Input number is 313479623824451410658307210031347962382445141065830721003134796238244514106583072100313479623824451410658307210031347962382445141 (129 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3468544921
Step 1 took 2516ms
********** Factor found in step 1: 173618474595818488288561601537
Found probable prime factor of 30 digits: 173618474595818488288561601537
Probable prime cofactor 1805566052542667635283958274436700951470436947950689906932248676043437634741272301095274558910340693 has 100 digits

26109660574412532637075718015665796344647519582245430809399477806788511749347258485639686684073107049608355091383812010443864229765013<134>

498817147724392476140926494334324240996033471478692594739269093<63>
52343149576001943066124757184863830745116599760477403421367845344915441<71>

Number: q3
N=26109660574412532637075718015665796344647519582245430809399477806788511749347258485639686684073107049608355091383812010443864229765013
  ( 134 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=498817147724392476140926494334324240996033471478692594739269093 (pp63)
 r2=52343149576001943066124757184863830745116599760477403421367845344915441 (pp71)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 2.13 hours.
Scaled time: 4.14 units (timescale=1.945).
Factorization parameters were as follows:
n: 26109660574412532637075718015665796344647519582245430809399477806788511749347258485639686684073107049608355091383812010443864229765013
m: 1000000000000000000000000000
deg: 5
c5: 10
c0: -21
skew: 1.16
# Murphy_E = 6.368e-09
type: snfs
lss: 1
rlim: 1290000
alim: 1290000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1290000/1290000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [645000, 1095001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 158703 x 158931
Total sieving time: 1.97 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1290000,1290000,26,26,48,48,2.3,2.3,75000
total time: 2.13 hours.
 --------- CPU info (if available) ----------

16596016311042638162340268888627482475525583764152394003444148380786002284562605150035512757447376320487649663045601<116>

58316084449436533254579851269054740230747827<44>
284587287842213721110157081465126040745492430499186666656625324566497563<72>

N=16596016311042638162340268888627482475525583764152394003444148380786002284562605150035512757447376320487649663045601
  ( 116 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=58316084449436533254579851269054740230747827 (pp44)
 r2=284587287842213721110157081465126040745492430499186666656625324566497563 (pp72)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 2.64 hours.
Scaled time: 5.43 units (timescale=2.058).
Factorization parameters were as follows:
n: 16596016311042638162340268888627482475525583764152394003444148380786002284562605150035512757447376320487649663045601
m: 1000000000000000000000000000
deg: 5
c5: 100
c0: -21
skew: 0.73
# Murphy_E = 4.641e-09
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [670000, 1270001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 186964 x 187191
Total sieving time: 2.48 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,137.000,5,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,75000
total time: 2.64 hours.
 --------- CPU info (if available) ----------

1492537313432835820895522388059701492537313432835820895522388059701492537313432835820895522388059701492537313432835820895522388059701492537<139>

303939746438625558496732442295928496490278690146952083<54>
4910635515497553832056299138977181517917661686663928718677337291732394219407593291139<85>

N=1492537313432835820895522388059701492537313432835820895522388059701492537313432835820895522388059701492537313432835820895522388059701492537
  ( 139 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=303939746438625558496732442295928496490278690146952083 (pp54)
 r2=4910635515497553832056299138977181517917661686663928718677337291732394219407593291139 (pp85)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 2.90 hours.
Scaled time: 4.72 units (timescale=1.626).
Factorization parameters were as follows:
n: 1492537313432835820895522388059701492537313432835820895522388059701492537313432835820895522388059701492537313432835820895522388059701492537
m: 10000000000000000000000000000
deg: 5
c5: 1
c0: -21
skew: 1.84
# Murphy_E = 5.212e-09
type: snfs
lss: 1
rlim: 1510000
alim: 1510000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3

Factor base limits: 1510000/1510000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [755000, 1280001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 187697 x 187924
Total sieving time: 2.66 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1510000,1510000,26,26,48,48,2.3,2.3,75000
total time: 2.90 hours.

11695577233064712522782515009443871090516723751352427460241612378959247723712316551145201249923361024389<104>

287541154482590757490006239192240431<36>
40674446251389812172200438523326659683443712618886815139415024270219<68>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=373127147
Step 1 took 2085ms
Step 2 took 1708ms
********** Factor found in step 2: 287541154482590757490006239192240431
Found probable prime factor of 36 digits: 287541154482590757490006239192240431
Probable prime cofactor 40674446251389812172200438523326659683443712618886815139415024270219 has 68 digits

171102636549614041216195487363018009596222929830483655993837430559919861000324530370743652951974757980881436258801156031009478350323511454543<141>

4821653940953562944031653035795231<34>
5801286672436788408529773590861749<34>
6116969821377532065249126839084739357669615590284611583964953833614916397<73>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=4013601964
Step 1 took 3165ms
Step 2 took 2210ms
********** Factor found in step 2: 5801286672436788408529773590861749
Found probable prime factor of 34 digits: 5801286672436788408529773590861749


Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1011461797
Step 1 took 3163ms
Step 2 took 2210ms
********** Factor found in step 2: 4821653940953562944031653035795231
Found probable prime factor of 34 digits: 4821653940953562944031653035795231

12950047084562931948712350850234593618743197993178634551775825140965819395194442653273936738864596965383110057094014134967626317866515481<137>

7149889395501518836169964358977719321<37>
141077033818449795791597315394884436277072941937<48>
12838541933615775957842727514735830240016788192279953<53>

N=12950047084562931948712350850234593618743197993178634551775825140965819395194442653273936738864596965383110057094014134967626317866515481
  ( 137 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=7149889395501518836169964358977719321 (pp37)
 r2=141077033818449795791597315394884436277072941937 (pp48)
 r3=12838541933615775957842727514735830240016788192279953 (pp53)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 7.45 hours.
Scaled time: 13.56 units (timescale=1.819).
Factorization parameters were as follows:
n: 12950047084562931948712350850234593618743197993178634551775825140965819395194442653273936738864596965383110057094014134967626317866515481
m: 1000000000000000000000000000000
deg: 5
c5: 1
c0: -21
skew: 1.84
# Murphy_E = 2.198e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 1600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 280708 x 280938
Total sieving time: 7.22 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,150.000,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000
total time: 7.45 hours.
 --------- CPU info (if available) ----------

572090496177930897901966087759677166548517605925837176106807971510613737712400619689920373211090878174855443<108>

529466506829192499152520337489<30>

1080503655658976417523689700802218797853018807143296108005549502188073278705187<79>

Input number is 572090496177930897901966087759677166548517605925837176106807971510613737712400619689920373211090878174855443 (108 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=4253235306
Step 1 took 2045ms
********** Factor found in step 1: 529466506829192499152520337489
Found probable prime factor of 30 digits: 529466506829192499152520337489
Composite cofactor 1080503655658976417523689700802218797853018807143296108005549502188073278705187 has 79 digits

1080503655658976417523689700802218797853018807143296108005549502188073278705187<79>

123341986938601021256946103526644823569<39>
8760225795590963966970401618463393479923<40>

Tue Nov 18 13:27:47 2014  Msieve v. 1.51 (SVN Official Release)
Tue Nov 18 13:27:47 2014  random seeds: 780ff680 c402f500
Tue Nov 18 13:27:47 2014  factoring 1080503655658976417523689700802218797853018807143296108005549502188073278705187 (79 digits)
Tue Nov 18 13:27:48 2014  searching for 15-digit factors
Tue Nov 18 13:27:48 2014  commencing quadratic sieve (79-digit input)
Tue Nov 18 13:27:48 2014  using multiplier of 3
Tue Nov 18 13:27:48 2014  using VC8 64kb sieve core
Tue Nov 18 13:27:48 2014  sieve interval: 6 blocks of size 65536
Tue Nov 18 13:27:48 2014  processing polynomials in batches of 17
Tue Nov 18 13:27:48 2014  using a sieve bound of 1069273 (41882 primes)
Tue Nov 18 13:27:48 2014  using large prime bound of 106927300 (26 bits)
Tue Nov 18 13:27:48 2014  using trial factoring cutoff of 27 bits
Tue Nov 18 13:27:48 2014  polynomial 'A' values have 10 factors
Tue Nov 18 13:33:36 2014  42400 relations (22140 full + 20260 combined from 227134 partial), need 41978
Tue Nov 18 13:33:37 2014  begin with 249274 relations
Tue Nov 18 13:33:37 2014  reduce to 60132 relations in 2 passes
Tue Nov 18 13:33:37 2014  attempting to read 60132 relations
Tue Nov 18 13:33:37 2014  recovered 60132 relations
Tue Nov 18 13:33:37 2014  recovered 47899 polynomials
Tue Nov 18 13:33:37 2014  attempting to build 42400 cycles
Tue Nov 18 13:33:37 2014  found 42400 cycles in 1 passes
Tue Nov 18 13:33:37 2014  distribution of cycle lengths:
Tue Nov 18 13:33:37 2014     length 1 : 22140
Tue Nov 18 13:33:37 2014     length 2 : 20260
Tue Nov 18 13:33:37 2014  largest cycle: 2 relations
Tue Nov 18 13:33:37 2014  matrix is 41882 x 42400 (6.1 MB) with weight 1266128 (29.86/col)
Tue Nov 18 13:33:37 2014  sparse part has weight 1266128 (29.86/col)
Tue Nov 18 13:33:38 2014  filtering completed in 3 passes
Tue Nov 18 13:33:38 2014  matrix is 29517 x 29581 (4.6 MB) with weight 976858 (33.02/col)
Tue Nov 18 13:33:38 2014  sparse part has weight 976858 (33.02/col)
Tue Nov 18 13:33:38 2014  saving the first 48 matrix rows for later
Tue Nov 18 13:33:38 2014  matrix includes 64 packed rows
Tue Nov 18 13:33:38 2014  matrix is 29469 x 29581 (2.8 MB) with weight 691418 (23.37/col)
Tue Nov 18 13:33:38 2014  sparse part has weight 448359 (15.16/col)
Tue Nov 18 13:33:38 2014  commencing Lanczos iteration
Tue Nov 18 13:33:38 2014  memory use: 2.9 MB
Tue Nov 18 13:33:49 2014  lanczos halted after 467 iterations (dim = 29465)
Tue Nov 18 13:33:49 2014  recovered 14 nontrivial dependencies
Tue Nov 18 13:33:49 2014  prp39 factor: 123341986938601021256946103526644823569
Tue Nov 18 13:33:49 2014  prp40 factor: 8760225795590963966970401618463393479923
Tue Nov 18 13:33:49 2014  elapsed time 00:06:02

444393583258502782991861543886654628252405864500291704682893383314101082197796754064539229834804593663042091415827<114>

13351400029906948022258136360708382756588399<44>
33284418282956649898316177201986544012881424534867213042796423974857373<71>

P71 = 33284418282956649898316177201986544012881424534867213042796423974857373
P44 = 13351400029906948022258136360708382756588399

YAFU 1.31

1710077728009592737655067758715588013689466123489236345339353787930312007173183888895649775447286339728288600292676127166711<124>

8127071626715887402289288048864126849530768591079800507<55>
210417454964726003317255223556369075259744304092200896497781417597173<69>

N=1710077728009592737655067758715588013689466123489236345339353787930312007173183888895649775447286339728288600292676127166711
  ( 124 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=8127071626715887402289288048864126849530768591079800507 (pp55)
 r2=210417454964726003317255223556369075259744304092200896497781417597173 (pp69)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 16.33 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1710077728009592737655067758715588013689466123489236345339353787930312007173183888895649775447286339728288600292676127166711
m: 100000000000000000000000000000000
deg: 5
c5: 1
c0: -21
skew: 1.84
# Murphy_E = 9.08e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4

Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1600000, 2500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 495704 x 495929
Total sieving time: 15.95 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,51,51,2.4,2.4,100000
total time: 16.33 hours.
 --------- CPU info (if available) ----------

29455393141878958874610731036898531516485528306289212184679460445640192281943365972452898656240045816827202354126390104605830163166945583858989836488173<152>

1058153774383712554346585628038800346512253011614695449442427349<64>
27836590347215176768987535287437794380890717338185843058231277741526753221132333645262777<89>

N=29455393141878958874610731036898531516485528306289212184679460445640192281943365972452898656240045816827202354126390104605830163166945583858989836488173
  ( 152 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=1058153774383712554346585628038800346512253011614695449442427349 (pp64)
 r2=27836590347215176768987535287437794380890717338185843058231277741526753221132333645262777 (pp89)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 18.26 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 29455393141878958874610731036898531516485528306289212184679460445640192281943365972452898656240045816827202354126390104605830163166945583858989836488173
m: 100000000000000000000000000000000
deg: 5
c5: 10
c0: -21
skew: 1.16
# Murphy_E = 7.244e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 2700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 535964 x 536193
Total sieving time: 17.77 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.29 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 18.26 hours.
 --------- CPU info (if available) ----------

8659577725735927385003083195684461460302914971576851894868048345995785735518690359391474997420287282403620105031136418527842747186482877490700029345307<151>

78482296068108076169202755983298308448216894828673836867<56>
110337976328075571194996914650176452561415333315173510486896193234955238499734172804482353333321<96>

Number: example8
N = 8659577725735927385003083195684461460302914971576851894868048345995785735518690359391474997420287282403620105031136418527842747186482877490700029345307 (151 digits)
SNFS difficulty: 165 digits.
Divisors found:
r1=78482296068108076169202755983298308448216894828673836867 (pp56)
r2=533430676533041177960320831644413038217233435275987999469 (pp57)
r3=10417393965966540313036700419805573317937398108616542956873773 (pp62)
r4=5430093009989847691469443628800863162615323828939017467532857013814297 (pp70)
r5=2328908101716036508677199901942873845182242161115165372736474378987903966196973209 (pp82)
r6=110337976328075571194996914650176452561415333315173510486896193234955238499734172804482353333321 (pp96)
Version: Msieve v. 1.51 (SVN 845)
Total time: 41.80 hours.
Factorization parameters were as follows:
n: 8659577725735927385003083195684461460302914971576851894868048345995785735518690359391474997420287282403620105031136418527842747186482877490700029345307
m: 500000000000000000000000000000000
deg: 5
c5: 16
c0: -105
skew: 1.46
# Murphy_E = 4.672e-10
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 9075525
Relations: 1117616 relations
Pruned matrix : 656465 x 656692
Polynomial selection time: 0.00 hours.
Total sieving time: 37.18 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 3.86 hours.
time per square root: 0.44 hours.
Prototype def-par.txt line would be: snfs,165,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 41.80 hours.
x86 Family 6 Model 15 Stepping 6, GenuineIntel
Windows-XP-5.1.2600-SP3
processors: 4, speed: 2.66GHz

131561636626759636889882910143402183923168004209972372056308380476253124588869885541376134719115905801868175240099986843836337324036311011708985659781607683199579<162>

58621066369337152370831648570013473606772881<44>
2244272320088251022999286371718046958935627540825587356778669872132481327411466595630003385614022826661254787391791659<118>

N=131561636626759636889882910143402183923168004209972372056308380476253124588869885541376134719115905801868175240099986843836337324036311011708985659781607683199579
  ( 162 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=58621066369337152370831648570013473606772881 (pp44)
 r2=2244272320088251022999286371718046958935627540825587356778669872132481327411466595630003385614022826661254787391791659 (pp118)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 22.11 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 131561636626759636889882910143402183923168004209972372056308380476253124588869885541376134719115905801868175240099986843836337324036311011708985659781607683199579
m: 1000000000000000000000000000000000
deg: 5
c5: 1
c0: -21
skew: 1.84
# Murphy_E = 5.793e-10
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
qintsize: 120000
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 3150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 680456 x 680681
Total sieving time: 21.42 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.47 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 22.11 hours.
 --------- CPU info (if available) ----------
[    0.074811] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49295964k/51380224k available (5351k kernel code, 1057796k absent, 1026464k reserved, 7000k data, 1344k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.38 BogoMIPS (lpj=2400194)
[    0.709831] Total of 16 processors activated (76642.81 BogoMIPS).

1196083663670664492075320435514979757997080591576654818228967050265162490573155163212750814262999383478117531144640698498872275743927<133>

1349466532213018459285029281237<31>
60208675833163076375252252891303683<35>
14721103450708185467668772595335001600604512075763565688101336097737<68>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3292867672
Step 1 took 2515ms
Step 2 took 2041ms
********** Factor found in step 2: 1349466532213018459285029281237
Found probable prime factor of 31 digits: 1349466532213018459285029281237

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3322079401
Step 1 took 2525ms
Step 2 took 2037ms
********** Factor found in step 2: 60208675833163076375252252891303683
Found probable prime factor of 35 digits: 60208675833163076375252252891303683

747778898274422883548547096023775486456557788829877312847009091260181042891194226917178300976414319164936480955671701837781775636019000776897012952352877<153>

13757242080184524654209974685137<32>
54355291119831264337988426550607670278443247279769288789118988017433316438300947215195014570655303019862388177597654445021<122>

Input number is 747778898274422883548547096023775486456557788829877312847009091260181042891194226917178300976414319164936480955671701837781775636019000776897012952352877 (153 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3618810634
Step 1 took 3766ms
Step 2 took 3290ms
********** Factor found in step 2: 13757242080184524654209974685137
Found probable prime factor of 32 digits: 13757242080184524654209974685137
Probable prime cofactor 54355291119831264337988426550607670278443247279769288789118988017433316438300947215195014570655303019862388177597654445021 has 122 digits

123624541603555131607555836526040684076169398230941813192516251529395957636133044046074560361650324272260168128209843417494288885839<132>

3226445621235415298541143214019<31>

38316015862749591121752695568013671490457399301939112203455517747749036709700377692474643021037723781<101>

Input number is 123624541603555131607555836526040684076169398230941813192516251529395957636133044046074560361650324272260168128209843417494288885839 (132 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=398509899
Step 1 took 2542ms
Step 2 took 2032ms
********** Factor found in step 2: 3226445621235415298541143214019
Found probable prime factor of 31 digits: 3226445621235415298541143214019
Composite cofactor 38316015862749591121752695568013671490457399301939112203455517747749036709700377692474643021037723781 has 101 digits

38316015862749591121752695568013671490457399301939112203455517747749036709700377692474643021037723781<101>

11335308406948106130845047431756292452975611<44>
3380235851303644608346749026126495656317335591735904601471<58>

Number: 99979_172
N=38316015862749591121752695568013671490457399301939112203455517747749036709700377692474643021037723781
  ( 101 digits)
Divisors found:
 r1=11335308406948106130845047431756292452975611 (pp44)
 r2=3380235851303644608346749026126495656317335591735904601471 (pp58)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 5.92 hours.
Scaled time: 12.28 units (timescale=2.075).
Factorization parameters were as follows:
name: 99979_172
n: 38316015862749591121752695568013671490457399301939112203455517747749036709700377692474643021037723781
skew: 8044.61
# norm 3.39e+013
c5: 26460
c4: 147130464
c3: -3237065525091
c2: -12043890114480113
c1: 20735841220100610023
c0: 196014418919514984109041
# alpha -5.83
Y1: 1906853461
Y0: -17067033735882899312
# Murphy_E 3.49e-009
# M 23143039687986942499062743148653302354873066226698234065769787128515820875292771199139620669531320589
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 177510 x 177735
Polynomial selection time: 0.43 hours.
Total sieving time: 5.34 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 5.92 hours.
 --------- CPU info (if available) ----------

31078968551191723049095446620317564900656077026115657273566404878154903795052849786021301525044986806977850019113565658982909675193699671495302413903487371061129223243339<170>

1425378118327164781295502533908747960221189906346350572767001538776431879657651<79>
21804016879160633105398501977976510667332127153702430931115693893054073383691552188952852489<92>

04/15/15 08:01:34 v1.34.3, 
04/15/15 08:01:34 v1.34.3, ****************************
04/15/15 08:01:34 v1.34.3, Starting factorization of 31078968551191723049095446620317564900656077026115657273566404878154903795052849786021301525044986806977850019113565658982909675193699671495302413903487371061129223243339
04/15/15 08:01:34 v1.34.3, using pretesting plan: none
04/15/15 08:01:34 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/15/15 08:01:34 v1.34.3, ****************************
04/15/15 08:01:34 v1.34.3, nfs: commencing nfs on c170: 31078968551191723049095446620317564900656077026115657273566404878154903795052849786021301525044986806977850019113565658982909675193699671495302413903487371061129223243339
04/15/15 08:01:34 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
04/15/15 08:01:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/15/15 08:06:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
[84 lines snipped]
04/15/15 15:52:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/15/15 15:58:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/15/15 16:03:42 v1.34.3, nfs: commencing msieve filtering
04/15/15 16:07:32 v1.34.3, nfs: commencing msieve linear algebra
04/15/15 16:19:39 v1.34.3, nfs: commencing msieve sqrt
04/15/15 16:21:20 v1.34.3, prp79 = 1425378118327164781295502533908747960221189906346350572767001538776431879657651
04/15/15 16:21:20 v1.34.3, prp92 = 21804016879160633105398501977976510667332127153702430931115693893054073383691552188952852489
04/15/15 16:21:20 v1.34.3, NFS elapsed time = 29986.8803 seconds.
04/15/15 16:21:20 v1.34.3, 
04/15/15 16:21:20 v1.34.3, 
04/15/15 16:21:20 v1.34.3, Total factoring time = 29986.8816 seconds
--
Wed Apr 15 16:03:42 2015  
Wed Apr 15 16:03:42 2015  commencing relation filtering
Wed Apr 15 16:03:42 2015  estimated available RAM is 15987.3 MB
Wed Apr 15 16:03:42 2015  commencing duplicate removal, pass 1
Wed Apr 15 16:04:42 2015  found 2977347 hash collisions in 21174454 relations
Wed Apr 15 16:04:58 2015  added 694004 free relations
Wed Apr 15 16:04:58 2015  commencing duplicate removal, pass 2
Wed Apr 15 16:05:17 2015  found 2026532 duplicates and 19841926 unique relations
Wed Apr 15 16:05:17 2015  memory use: 82.6 MB
Wed Apr 15 16:05:17 2015  reading ideals above 720000
Wed Apr 15 16:05:17 2015  commencing singleton removal, initial pass
Wed Apr 15 16:06:38 2015  memory use: 376.5 MB
Wed Apr 15 16:06:38 2015  reading all ideals from disk
Wed Apr 15 16:06:39 2015  memory use: 588.3 MB
Wed Apr 15 16:06:39 2015  keeping 19237309 ideals with weight <= 200, target excess is 116620
Wed Apr 15 16:06:40 2015  commencing in-memory singleton removal
Wed Apr 15 16:06:41 2015  begin with 19841926 relations and 19237309 unique ideals
Wed Apr 15 16:06:48 2015  reduce to 10465489 relations and 7864383 ideals in 12 passes
Wed Apr 15 16:06:48 2015  max relations containing the same ideal: 129
Wed Apr 15 16:06:51 2015  removing 1497279 relations and 1097279 ideals in 400000 cliques
Wed Apr 15 16:06:51 2015  commencing in-memory singleton removal
Wed Apr 15 16:06:52 2015  begin with 8968210 relations and 7864383 unique ideals
Wed Apr 15 16:06:54 2015  reduce to 8804018 relations and 6595277 ideals in 7 passes
Wed Apr 15 16:06:54 2015  max relations containing the same ideal: 115
Wed Apr 15 16:06:57 2015  removing 1222446 relations and 822446 ideals in 400000 cliques
Wed Apr 15 16:06:57 2015  commencing in-memory singleton removal
Wed Apr 15 16:06:57 2015  begin with 7581572 relations and 6595277 unique ideals
Wed Apr 15 16:06:59 2015  reduce to 7467931 relations and 5654130 ideals in 7 passes
Wed Apr 15 16:06:59 2015  max relations containing the same ideal: 105
Wed Apr 15 16:07:01 2015  removing 1151839 relations and 751839 ideals in 400000 cliques
Wed Apr 15 16:07:02 2015  commencing in-memory singleton removal
Wed Apr 15 16:07:02 2015  begin with 6316092 relations and 5654130 unique ideals
Wed Apr 15 16:07:05 2015  reduce to 6208158 relations and 4789149 ideals in 7 passes
Wed Apr 15 16:07:05 2015  max relations containing the same ideal: 92
Wed Apr 15 16:07:07 2015  removing 1117414 relations and 717414 ideals in 400000 cliques
Wed Apr 15 16:07:07 2015  commencing in-memory singleton removal
Wed Apr 15 16:07:07 2015  begin with 5090744 relations and 4789149 unique ideals
Wed Apr 15 16:07:09 2015  reduce to 4976726 relations and 3951363 ideals in 7 passes
Wed Apr 15 16:07:09 2015  max relations containing the same ideal: 79
Wed Apr 15 16:07:10 2015  removing 1098292 relations and 698292 ideals in 400000 cliques
Wed Apr 15 16:07:10 2015  commencing in-memory singleton removal
Wed Apr 15 16:07:10 2015  begin with 3878434 relations and 3951363 unique ideals
Wed Apr 15 16:07:11 2015  reduce to 3745847 relations and 3111413 ideals in 7 passes
Wed Apr 15 16:07:11 2015  max relations containing the same ideal: 63
Wed Apr 15 16:07:12 2015  removing 1087988 relations and 687988 ideals in 400000 cliques
Wed Apr 15 16:07:13 2015  commencing in-memory singleton removal
Wed Apr 15 16:07:13 2015  begin with 2657859 relations and 3111413 unique ideals
Wed Apr 15 16:07:13 2015  reduce to 2487765 relations and 2237967 ideals in 8 passes
Wed Apr 15 16:07:13 2015  max relations containing the same ideal: 47
Wed Apr 15 16:07:14 2015  removing 390763 relations and 276245 ideals in 114518 cliques
Wed Apr 15 16:07:14 2015  commencing in-memory singleton removal
Wed Apr 15 16:07:14 2015  begin with 2097002 relations and 2237967 unique ideals
Wed Apr 15 16:07:15 2015  reduce to 2048435 relations and 1910987 ideals in 7 passes
Wed Apr 15 16:07:15 2015  max relations containing the same ideal: 40
Wed Apr 15 16:07:15 2015  relations with 0 large ideals: 2923
Wed Apr 15 16:07:15 2015  relations with 1 large ideals: 2864
Wed Apr 15 16:07:15 2015  relations with 2 large ideals: 37061
Wed Apr 15 16:07:15 2015  relations with 3 large ideals: 183560
Wed Apr 15 16:07:15 2015  relations with 4 large ideals: 446053
Wed Apr 15 16:07:15 2015  relations with 5 large ideals: 599358
Wed Apr 15 16:07:15 2015  relations with 6 large ideals: 487748
Wed Apr 15 16:07:15 2015  relations with 7+ large ideals: 288868
Wed Apr 15 16:07:15 2015  commencing 2-way merge
Wed Apr 15 16:07:16 2015  reduce to 1300043 relation sets and 1162595 unique ideals
Wed Apr 15 16:07:16 2015  commencing full merge
Wed Apr 15 16:07:27 2015  memory use: 147.5 MB
Wed Apr 15 16:07:27 2015  found 683165 cycles, need 662795
Wed Apr 15 16:07:27 2015  weight of 662795 cycles is about 46730598 (70.51/cycle)
Wed Apr 15 16:07:27 2015  distribution of cycle lengths:
Wed Apr 15 16:07:27 2015  1 relations: 51582
Wed Apr 15 16:07:27 2015  2 relations: 62949
Wed Apr 15 16:07:27 2015  3 relations: 71981
Wed Apr 15 16:07:27 2015  4 relations: 73349
Wed Apr 15 16:07:27 2015  5 relations: 73790
Wed Apr 15 16:07:27 2015  6 relations: 68841
Wed Apr 15 16:07:27 2015  7 relations: 61252
Wed Apr 15 16:07:27 2015  8 relations: 51906
Wed Apr 15 16:07:27 2015  9 relations: 41975
Wed Apr 15 16:07:27 2015  10+ relations: 105170
Wed Apr 15 16:07:27 2015  heaviest cycle: 18 relations
Wed Apr 15 16:07:27 2015  commencing cycle optimization
Wed Apr 15 16:07:28 2015  start with 3912549 relations
Wed Apr 15 16:07:31 2015  pruned 127968 relations
Wed Apr 15 16:07:31 2015  memory use: 123.3 MB
Wed Apr 15 16:07:31 2015  distribution of cycle lengths:
Wed Apr 15 16:07:31 2015  1 relations: 51582
Wed Apr 15 16:07:31 2015  2 relations: 64406
Wed Apr 15 16:07:31 2015  3 relations: 74899
Wed Apr 15 16:07:31 2015  4 relations: 76220
Wed Apr 15 16:07:31 2015  5 relations: 77356
Wed Apr 15 16:07:31 2015  6 relations: 71395
Wed Apr 15 16:07:31 2015  7 relations: 63147
Wed Apr 15 16:07:31 2015  8 relations: 52515
Wed Apr 15 16:07:31 2015  9 relations: 41576
Wed Apr 15 16:07:31 2015  10+ relations: 89699
Wed Apr 15 16:07:31 2015  heaviest cycle: 17 relations
Wed Apr 15 16:07:32 2015  RelProcTime: 230
Wed Apr 15 16:07:32 2015  
Wed Apr 15 16:07:32 2015  commencing linear algebra
Wed Apr 15 16:07:32 2015  read 662795 cycles
Wed Apr 15 16:07:32 2015  cycles contain 1966259 unique relations
Wed Apr 15 16:07:51 2015  read 1966259 relations
Wed Apr 15 16:07:52 2015  using 20 quadratic characters above 268426062
Wed Apr 15 16:07:58 2015  building initial matrix
Wed Apr 15 16:08:09 2015  memory use: 254.9 MB
Wed Apr 15 16:08:10 2015  read 662795 cycles
Wed Apr 15 16:08:10 2015  matrix is 662990 x 662795 (197.9 MB) with weight 60137208 (90.73/col)
Wed Apr 15 16:08:10 2015  sparse part has weight 44581787 (67.26/col)
Wed Apr 15 16:08:13 2015  filtering completed in 2 passes
Wed Apr 15 16:08:13 2015  matrix is 662502 x 662543 (197.8 MB) with weight 60122838 (90.75/col)
Wed Apr 15 16:08:13 2015  sparse part has weight 44573294 (67.28/col)
Wed Apr 15 16:08:14 2015  matrix starts at (0, 0)
Wed Apr 15 16:08:14 2015  matrix is 662502 x 662543 (197.8 MB) with weight 60122838 (90.75/col)
Wed Apr 15 16:08:14 2015  sparse part has weight 44573294 (67.28/col)
Wed Apr 15 16:08:14 2015  saving the first 48 matrix rows for later
Wed Apr 15 16:08:14 2015  matrix includes 64 packed rows
Wed Apr 15 16:08:14 2015  matrix is 662454 x 662543 (188.2 MB) with weight 47231712 (71.29/col)
Wed Apr 15 16:08:14 2015  sparse part has weight 42716791 (64.47/col)
Wed Apr 15 16:08:14 2015  using block size 65536 for processor cache size 8192 kB
Wed Apr 15 16:08:16 2015  commencing Lanczos iteration (8 threads)
Wed Apr 15 16:08:16 2015  memory use: 182.8 MB
Wed Apr 15 16:08:19 2015  linear algebra at 0.5%, ETA 0h10m
Wed Apr 15 16:19:38 2015  lanczos halted after 10476 iterations (dim = 662378)
Wed Apr 15 16:19:39 2015  recovered 23 nontrivial dependencies
Wed Apr 15 16:19:39 2015  BLanczosTime: 727
Wed Apr 15 16:19:39 2015  
Wed Apr 15 16:19:39 2015  commencing square root phase
Wed Apr 15 16:19:39 2015  reading relations for dependency 1
Wed Apr 15 16:19:39 2015  read 330632 cycles
Wed Apr 15 16:19:39 2015  cycles contain 982056 unique relations
Wed Apr 15 16:19:55 2015  read 982056 relations
Wed Apr 15 16:19:58 2015  multiplying 982056 relations
Wed Apr 15 16:20:12 2015  multiply complete, coefficients have about 21.91 million bits
Wed Apr 15 16:20:12 2015  initial square root is modulo 1969291
Wed Apr 15 16:20:29 2015  GCD is 1, no factor found
Wed Apr 15 16:20:29 2015  reading relations for dependency 2
Wed Apr 15 16:20:29 2015  read 331217 cycles
Wed Apr 15 16:20:29 2015  cycles contain 982852 unique relations
Wed Apr 15 16:20:45 2015  read 982852 relations
Wed Apr 15 16:20:47 2015  multiplying 982852 relations
Wed Apr 15 16:21:02 2015  multiply complete, coefficients have about 21.93 million bits
Wed Apr 15 16:21:02 2015  initial square root is modulo 1995011
Wed Apr 15 16:21:20 2015  sqrtTime: 101
--
n: 31078968551191723049095446620317564900656077026115657273566404878154903795052849786021301525044986806977850019113565658982909675193699671495302413903487371061129223243339
m: 100000000000000000000000000000000000
deg: 5
c5: 1
c0: -21
skew: 1.84
# Murphy_E = 2.325e-10
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5

yafu v1.34.3

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999979<176>

47900955480819381879498592616285304525011<41>
4900635175775997963854211752166941512456711769486954876142013706309<67>
425993969011766099839022605784177269864964509164387425108028401442421<69>

Number: 99979_176
N=99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999979
  ( 176 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=47900955480819381879498592616285304525011
 r2=4900635175775997963854211752166941512456711769486954876142013706309
 r3=425993969011766099839022605784177269864964509164387425108028401442421
Version: 
Total time: 25.43 hours.
Scaled time: 133.71 units (timescale=5.259).
Factorization parameters were as follows:
n: 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999979
m: 100000000000000000000000000000000000
deg: 5
c5: 10
c0: -21
skew: 1.16
# Murphy_E = 1.852e-10
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 6500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17613368
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1236943 x 1237191
Total sieving time: 22.38 hours.
Total relation processing time: 1.23 hours.
Matrix solve time: 1.67 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 25.43 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

7013530640548754392543759377884650450933086499742578942749906393020918419670647085847778065179909368265231089<109>

14279967763935737009368281239577266561304902699<47>
491144711002886604310807609308517414654368105197444221308918611<63>

N=7013530640548754392543759377884650450933086499742578942749906393020918419670647085847778065179909368265231089
  ( 109 digits)
Divisors found:
 r1=14279967763935737009368281239577266561304902699 (pp47)
 r2=491144711002886604310807609308517414654368105197444221308918611 (pp63)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 8.70 hours.
Scaled time: 18.21 units (timescale=2.092).
Factorization parameters were as follows:
n: 7013530640548754392543759377884650450933086499742578942749906393020918419670647085847778065179909368265231089
skew: 8333245.69
c0: 1026118404126143605179320110504
c1: -334609846204991463270940
c2: -209947576351969060
c3: 12789563965
c4: 1176
Y0: -277895512894745487453388305
Y1: 190595233815877
rlim: 3060000
alim: 3060000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 160000
type: gnfs
Factor base limits: 3060000/3060000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1530000, 2650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 461358 x 461585
Total sieving time: 8.40 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,108,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3060000,3060000,26,26,52,52,2.5,2.5,100000
total time: 8.70 hours.
 --------- CPU info (if available) ----------

268096514745308310991957104557640750670241286863270777479892761394101876675603217158176943699731903485254691689008042895442359249329758713136729222520107238605898123324396782841823<180>

1916872155847074534708584419619591624138612634651504692854306760410388939887054174693951<88>
139861447685766628640848151103414837312657755230756252939414551338111149334128346084233253473<93>

N=268096514745308310991957104557640750670241286863270777479892761394101876675603217158176943699731903485254691689008042895442359249329758713136729222520107238605898123324396782841823
  ( 180 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=1916872155847074534708584419619591624138612634651504692854306760410388939887054174693951 (pp88)
 r2=139861447685766628640848151103414837312657755230756252939414551338111149334128346084233253473 (pp93)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 118.25 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 268096514745308310991957104557640750670241286863270777479892761394101876675603217158176943699731903485254691689008042895442359249329758713136729222520107238605898123324396782841823
m: 1000000000000000000000000000000000000
deg: 5
c5: 100
c0: -21
skew: 0.73
# Murphy_E = 8.449e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 160000
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3800000, 9560001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1589397 x 1589628
Total sieving time: 115.19 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.65 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 118.25 hours.
 --------- CPU info (if available) ----------
[    0.074811] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49295964k/51380224k available (5351k kernel code, 1057796k absent, 1026464k reserved, 7000k data, 1344k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.38 BogoMIPS (lpj=2400194)
[    0.709831] Total of 16 processors activated (76642.81 BogoMIPS).

34561634722833178873748007256818159286433528451005966176942927746231703769556153594960485024486506561632943303824322941667<122>

16441393406200805269415000852464347737036292761<47>
2102111047947943244928189071194012495360582951060227410462485356800535177947<76>

Number: 99979_184
N = 34561634722833178873748007256818159286433528451005966176942927746231703769556153594960485024486506561632943303824322941667 (122 digits)
Divisors found:
r1=16441393406200805269415000852464347737036292761 (pp47)
r2=2102111047947943244928189071194012495360582951060227410462485356800535177947 (pp76)
Version: Msieve v. 1.51 (SVN 845)
Total time: 29.81 hours.
Factorization parameters were as follows:
n: 34561634722833178873748007256818159286433528451005966176942927746231703769556153594960485024486506561632943303824322941667
Y0: -233324401658478826557717
Y1: 4002615078979
c0: 74344702954996438431070358920
c1: 25893247385390685722098018
c2: 468542676379473622290
c3: -1240267838870638
c4: -18648643705
c5: 49980
skew: 142521.35 
type: gnfs
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10458951
Relations: 1564104 relations
Pruned matrix : 868271 x 868501
Polynomial selection time: 0.00 hours.
Total sieving time: 29.01 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.60 hours.
time per square root: 0.13 hours.
Prototype def-par.txt line would be: gnfs,121,5,65,2000,1e-05,0.28,250,20,50000,3600,4700000,4700000,27,27,53,53,2.5,2.5,100000
total time: 29.81 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz

GGNFS, Msieve

60639822644847864948795742960993648265585839730378390450058101775706704936324389962244167127367183659029921210986974753264727293552523500630733081301042859795413<161>

9959541370833176026790671367504579<34>

6088615970051939860179890831604305597617379872946994402926987939123374318092751210724826877558796896590818417381625448283923847<127>

Input number is 60639822644847864948795742960993648265585839730378390450058101775706704936324389962244167127367183659029921210986974753264727293552523500630733081301042859795413 (161 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2350390138
Step 1 took 3677ms
Step 2 took 2561ms
********** Factor found in step 2: 9959541370833176026790671367504579
Found probable prime factor of 34 digits: 9959541370833176026790671367504579
Composite cofactor 6088615970051939860179890831604305597617379872946994402926987939123374318092751210724826877558796896590818417381625448283923847 has 127 digits

6088615970051939860179890831604305597617379872946994402926987939123374318092751210724826877558796896590818417381625448283923847<127>

363300374273621898446408857877232889373<39>
1159013727741013197052238346699811855765967<43>
14459862301520710959676611224864042180296457117<47>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1948649842
Step 1 took 8041ms
Step 2 took 7515ms
********** Factor found in step 2: 1159013727741013197052238346699811855765967
Found probable prime factor of 43 digits: 1159013727741013197052238346699811855765967

SIQS elapsed time = 293.9214 seconds.


***factors found***

PRP39 = 363300374273621898446408857877232889373
PRP47 = 14459862301520710959676611224864042180296457117

112722378041816366646847364771806610669040686384798787163527069606930812168644102129951360161749557919642125993494084409411898929640593119770209095942188024497956387722647<171>

51380820652625518388498528557940650076134010158284317467153<59>
2193860989568611420707726608560110319562693603532261475605136683385331987245916117433473813722520042083517666599<112>

Mon Feb 13 14:03:46 2017  Msieve v. 1.53 (SVN Unversioned directory)
Mon Feb 13 14:03:46 2017  random seeds: 54b43c8e 200a7255
Mon Feb 13 14:03:46 2017  factoring 112722378041816366646847364771806610669040686384798787163527069606930812168644102129951360161749557919642125993494084409411898929640593119770209095942188024497956387722647 (171 digits)
Mon Feb 13 14:03:47 2017  no P-1/P+1/ECM available, skipping
Mon Feb 13 14:03:47 2017  commencing number field sieve (171-digit input)
Mon Feb 13 14:03:47 2017  R0: -10000000000000000000000000000000000000
Mon Feb 13 14:03:47 2017  R1: 1
Mon Feb 13 14:03:47 2017  A0: -21
Mon Feb 13 14:03:47 2017  A1: 0
Mon Feb 13 14:03:47 2017  A2: 0
Mon Feb 13 14:03:47 2017  A3: 0
Mon Feb 13 14:03:47 2017  A4: 0
Mon Feb 13 14:03:47 2017  A5: 100
Mon Feb 13 14:03:47 2017  skew 0.73, size 4.850e-13, alpha 0.254, combined = 5.288e-11 rroots = 1
Mon Feb 13 14:03:47 2017  
Mon Feb 13 14:03:47 2017  commencing relation filtering
Mon Feb 13 14:03:47 2017  estimated available RAM is 15929.4 MB
Mon Feb 13 14:03:47 2017  commencing duplicate removal, pass 1
Mon Feb 13 14:06:17 2017  found 2821281 hash collisions in 21352972 relations
Mon Feb 13 14:06:35 2017  added 509 free relations
Mon Feb 13 14:06:35 2017  commencing duplicate removal, pass 2
Mon Feb 13 14:06:40 2017  found 2445848 duplicates and 18907633 unique relations
Mon Feb 13 14:06:40 2017  memory use: 98.6 MB
Mon Feb 13 14:06:40 2017  reading ideals above 720000
Mon Feb 13 14:06:40 2017  commencing singleton removal, initial pass
Mon Feb 13 14:08:32 2017  memory use: 689.0 MB
Mon Feb 13 14:08:32 2017  reading all ideals from disk
Mon Feb 13 14:08:32 2017  memory use: 597.9 MB
Mon Feb 13 14:08:33 2017  keeping 21171877 ideals with weight <= 200, target excess is 116148
Mon Feb 13 14:08:34 2017  commencing in-memory singleton removal
Mon Feb 13 14:08:34 2017  begin with 18907633 relations and 21171877 unique ideals
Mon Feb 13 14:08:42 2017  reduce to 7343248 relations and 7169604 ideals in 19 passes
Mon Feb 13 14:08:42 2017  max relations containing the same ideal: 103
Mon Feb 13 14:08:44 2017  removing 318780 relations and 299324 ideals in 19456 cliques
Mon Feb 13 14:08:44 2017  commencing in-memory singleton removal
Mon Feb 13 14:08:44 2017  begin with 7024468 relations and 7169604 unique ideals
Mon Feb 13 14:08:47 2017  reduce to 7011606 relations and 6857359 ideals in 10 passes
Mon Feb 13 14:08:47 2017  max relations containing the same ideal: 100
Mon Feb 13 14:08:49 2017  removing 228630 relations and 209174 ideals in 19456 cliques
Mon Feb 13 14:08:49 2017  commencing in-memory singleton removal
Mon Feb 13 14:08:49 2017  begin with 6782976 relations and 6857359 unique ideals
Mon Feb 13 14:08:52 2017  reduce to 6776085 relations and 6641261 ideals in 9 passes
Mon Feb 13 14:08:52 2017  max relations containing the same ideal: 97
Mon Feb 13 14:08:53 2017  relations with 0 large ideals: 2900
Mon Feb 13 14:08:53 2017  relations with 1 large ideals: 915
Mon Feb 13 14:08:53 2017  relations with 2 large ideals: 17509
Mon Feb 13 14:08:53 2017  relations with 3 large ideals: 135215
Mon Feb 13 14:08:53 2017  relations with 4 large ideals: 563933
Mon Feb 13 14:08:53 2017  relations with 5 large ideals: 1364955
Mon Feb 13 14:08:53 2017  relations with 6 large ideals: 2022438
Mon Feb 13 14:08:53 2017  relations with 7+ large ideals: 2668220
Mon Feb 13 14:08:53 2017  commencing 2-way merge
Mon Feb 13 14:08:55 2017  reduce to 3885947 relation sets and 3751125 unique ideals
Mon Feb 13 14:08:55 2017  ignored 2 oversize relation sets
Mon Feb 13 14:08:55 2017  commencing full merge
Mon Feb 13 14:09:34 2017  memory use: 447.4 MB
Mon Feb 13 14:09:34 2017  found 1962383 cycles, need 1951325
Mon Feb 13 14:09:34 2017  weight of 1951325 cycles is about 136624651 (70.02/cycle)
Mon Feb 13 14:09:34 2017  distribution of cycle lengths:
Mon Feb 13 14:09:34 2017  1 relations: 287749
Mon Feb 13 14:09:34 2017  2 relations: 251750
Mon Feb 13 14:09:35 2017  3 relations: 234278
Mon Feb 13 14:09:35 2017  4 relations: 201709
Mon Feb 13 14:09:35 2017  5 relations: 172227
Mon Feb 13 14:09:35 2017  6 relations: 142213
Mon Feb 13 14:09:35 2017  7 relations: 121238
Mon Feb 13 14:09:35 2017  8 relations: 99554
Mon Feb 13 14:09:35 2017  9 relations: 80612
Mon Feb 13 14:09:35 2017  10+ relations: 359995
Mon Feb 13 14:09:35 2017  heaviest cycle: 28 relations
Mon Feb 13 14:09:35 2017  commencing cycle optimization
Mon Feb 13 14:09:37 2017  start with 11411653 relations
Mon Feb 13 14:09:47 2017  pruned 233285 relations
Mon Feb 13 14:09:47 2017  memory use: 387.0 MB
Mon Feb 13 14:09:47 2017  distribution of cycle lengths:
Mon Feb 13 14:09:47 2017  1 relations: 287749
Mon Feb 13 14:09:47 2017  2 relations: 256818
Mon Feb 13 14:09:47 2017  3 relations: 241732
Mon Feb 13 14:09:47 2017  4 relations: 204995
Mon Feb 13 14:09:47 2017  5 relations: 174815
Mon Feb 13 14:09:47 2017  6 relations: 143189
Mon Feb 13 14:09:47 2017  7 relations: 121108
Mon Feb 13 14:09:47 2017  8 relations: 98416
Mon Feb 13 14:09:47 2017  9 relations: 79289
Mon Feb 13 14:09:47 2017  10+ relations: 343214
Mon Feb 13 14:09:47 2017  heaviest cycle: 27 relations
Mon Feb 13 14:09:48 2017  RelProcTime: 361
Mon Feb 13 14:09:49 2017  elapsed time 00:06:03
Mon Feb 13 14:09:49 2017 LatSieveTime: 1092.01
Mon Feb 13 14:09:49 2017 -> Running matrix solving step ...
Mon Feb 13 14:09:49 2017 -> ./msieve -s 99979_187/99979_187.dat -l 99979_187/99979_187.log -i 99979_187/99979_187.ini -nf 99979_187/99979_187.fb -t 6 -nc2
Mon Feb 13 14:09:49 2017  
Mon Feb 13 14:09:49 2017  
Mon Feb 13 14:09:49 2017  Msieve v. 1.53 (SVN Unversioned directory)
Mon Feb 13 14:09:49 2017  random seeds: a289558d f8078a48
Mon Feb 13 14:09:49 2017  factoring 112722378041816366646847364771806610669040686384798787163527069606930812168644102129951360161749557919642125993494084409411898929640593119770209095942188024497956387722647 (171 digits)
Mon Feb 13 14:09:50 2017  no P-1/P+1/ECM available, skipping
Mon Feb 13 14:09:50 2017  commencing number field sieve (171-digit input)
Mon Feb 13 14:09:50 2017  R0: -10000000000000000000000000000000000000
Mon Feb 13 14:09:50 2017  R1: 1
Mon Feb 13 14:09:50 2017  A0: -21
Mon Feb 13 14:09:50 2017  A1: 0
Mon Feb 13 14:09:50 2017  A2: 0
Mon Feb 13 14:09:50 2017  A3: 0
Mon Feb 13 14:09:50 2017  A4: 0
Mon Feb 13 14:09:50 2017  A5: 100
Mon Feb 13 14:09:50 2017  skew 0.73, size 4.850e-13, alpha 0.254, combined = 5.288e-11 rroots = 1
Mon Feb 13 14:09:50 2017  
Mon Feb 13 14:09:50 2017  commencing linear algebra
Mon Feb 13 14:09:50 2017  read 1951325 cycles
Mon Feb 13 14:09:52 2017  cycles contain 6594777 unique relations
Mon Feb 13 14:10:22 2017  read 6594777 relations
Mon Feb 13 14:10:27 2017  using 20 quadratic characters above 4294917295
Mon Feb 13 14:10:51 2017  building initial matrix
Mon Feb 13 14:11:28 2017  memory use: 802.2 MB
Mon Feb 13 14:11:28 2017  read 1951325 cycles
Mon Feb 13 14:11:28 2017  matrix is 1951145 x 1951325 (586.1 MB) with weight 173715101 (89.02/col)
Mon Feb 13 14:11:28 2017  sparse part has weight 132179048 (67.74/col)
Mon Feb 13 14:11:39 2017  filtering completed in 2 passes
Mon Feb 13 14:11:39 2017  matrix is 1948058 x 1948238 (585.8 MB) with weight 173607886 (89.11/col)
Mon Feb 13 14:11:39 2017  sparse part has weight 132144270 (67.83/col)
Mon Feb 13 14:11:43 2017  matrix starts at (0, 0)
Mon Feb 13 14:11:43 2017  matrix is 1948058 x 1948238 (585.8 MB) with weight 173607886 (89.11/col)
Mon Feb 13 14:11:43 2017  sparse part has weight 132144270 (67.83/col)
Mon Feb 13 14:11:43 2017  saving the first 48 matrix rows for later
Mon Feb 13 14:11:43 2017  matrix includes 64 packed rows
Mon Feb 13 14:11:44 2017  matrix is 1948010 x 1948238 (556.7 MB) with weight 138125754 (70.90/col)
Mon Feb 13 14:11:44 2017  sparse part has weight 126456796 (64.91/col)
Mon Feb 13 14:11:44 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Mon Feb 13 14:11:48 2017  commencing Lanczos iteration (6 threads)
Mon Feb 13 14:11:48 2017  memory use: 448.2 MB
Mon Feb 13 14:11:52 2017  linear algebra at 0.1%, ETA 1h25m
Mon Feb 13 14:11:54 2017  checkpointing every 1220000 dimensions
Mon Feb 13 15:44:49 2017  lanczos halted after 30809 iterations (dim = 1948004)
Mon Feb 13 15:44:50 2017  recovered 35 nontrivial dependencies
Mon Feb 13 15:44:50 2017  BLanczosTime: 5700
Mon Feb 13 15:44:50 2017  elapsed time 01:35:01
Mon Feb 13 15:44:50 2017 -> Running square root step ...
Mon Feb 13 15:44:50 2017 -> ./msieve -s 99979_187/99979_187.dat -l 99979_187/99979_187.log -i 99979_187/99979_187.ini -nf 99979_187/99979_187.fb -t 6 -nc3
Mon Feb 13 15:44:50 2017  
Mon Feb 13 15:44:50 2017  
Mon Feb 13 15:44:50 2017  Msieve v. 1.53 (SVN Unversioned directory)
Mon Feb 13 15:44:50 2017  random seeds: 0e9fd880 8ad89246
Mon Feb 13 15:44:50 2017  factoring 112722378041816366646847364771806610669040686384798787163527069606930812168644102129951360161749557919642125993494084409411898929640593119770209095942188024497956387722647 (171 digits)
Mon Feb 13 15:44:51 2017  no P-1/P+1/ECM available, skipping
Mon Feb 13 15:44:51 2017  commencing number field sieve (171-digit input)
Mon Feb 13 15:44:51 2017  R0: -10000000000000000000000000000000000000
Mon Feb 13 15:44:51 2017  R1: 1
Mon Feb 13 15:44:51 2017  A0: -21
Mon Feb 13 15:44:51 2017  A1: 0
Mon Feb 13 15:44:51 2017  A2: 0
Mon Feb 13 15:44:51 2017  A3: 0
Mon Feb 13 15:44:51 2017  A4: 0
Mon Feb 13 15:44:51 2017  A5: 100
Mon Feb 13 15:44:51 2017  skew 0.73, size 4.850e-13, alpha 0.254, combined = 5.288e-11 rroots = 1
Mon Feb 13 15:44:51 2017  
Mon Feb 13 15:44:51 2017  commencing square root phase
Mon Feb 13 15:44:51 2017  reading relations for dependency 1
Mon Feb 13 15:44:51 2017  read 972644 cycles
Mon Feb 13 15:44:52 2017  cycles contain 3294538 unique relations
Mon Feb 13 15:45:08 2017  read 3294538 relations
Mon Feb 13 15:45:17 2017  multiplying 3294538 relations
Mon Feb 13 15:46:34 2017  multiply complete, coefficients have about 95.12 million bits
Mon Feb 13 15:46:34 2017  initial square root is modulo 6727771
Mon Feb 13 15:48:19 2017  GCD is N, no factor found
Mon Feb 13 15:48:19 2017  reading relations for dependency 2
Mon Feb 13 15:48:19 2017  read 975447 cycles
Mon Feb 13 15:48:20 2017  cycles contain 3300598 unique relations
Mon Feb 13 15:48:36 2017  read 3300598 relations
Mon Feb 13 15:48:45 2017  multiplying 3300598 relations
Mon Feb 13 15:50:02 2017  multiply complete, coefficients have about 95.30 million bits
Mon Feb 13 15:50:02 2017  initial square root is modulo 6930071
Mon Feb 13 15:51:45 2017  GCD is N, no factor found
Mon Feb 13 15:51:45 2017  reading relations for dependency 3
Mon Feb 13 15:51:45 2017  read 974354 cycles
Mon Feb 13 15:51:46 2017  cycles contain 3302534 unique relations
Mon Feb 13 15:52:02 2017  read 3302534 relations
Mon Feb 13 15:52:11 2017  multiplying 3302534 relations
Mon Feb 13 15:53:28 2017  multiply complete, coefficients have about 95.36 million bits
Mon Feb 13 15:53:28 2017  initial square root is modulo 6992651
Mon Feb 13 15:55:12 2017  sqrtTime: 621
Mon Feb 13 15:55:12 2017  p59 factor: 51380820652625518388498528557940650076134010158284317467153
Mon Feb 13 15:55:12 2017  p112 factor: 2193860989568611420707726608560110319562693603532261475605136683385331987245916117433473813722520042083517666599
Mon Feb 13 15:55:12 2017  elapsed time 00:10:22

Msieve 1.53 snfs

64-bit Ubuntu 16.04.1 LTS, Core i7-2600K 3.4GHz

7964788168672835165665421002277283726554229242918915187331527900889046753421917915672842931730452261209790713238187774973934534450174820836287188838858056678693155953297335253<175>

492403119018036580444718118812874041<36>

16175340612294308666820322623111732424769942904643394249703514625541585165101775973004517199908124892478902677036740634236021026793229655933<140>

Input number is 7964788168672835165665421002277283726554229242918915187331527900889046753421917915672842931730452261209790713238187774973934534450174820836287188838858056678693155953297335253 (175 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=953598839
Step 1 took 4643ms
Step 2 took 2868ms
********** Factor found in step 2: 492403119018036580444718118812874041
Found probable prime factor of 36 digits: 492403119018036580444718118812874041
Composite cofactor 16175340612294308666820322623111732424769942904643394249703514625541585165101775973004517199908124892478902677036740634236021026793229655933 has 140 digits

16175340612294308666820322623111732424769942904643394249703514625541585165101775973004517199908124892478902677036740634236021026793229655933<140>

2045579923402731394970951422995979030946532817<46>
7907459604603152154413302375669683194588881951117040059813151989369917745449333036897628128749<94>

Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=3672100791
Step 1 took 76112ms
Step 2 took 58892ms
********** Factor found in step 2: 2045579923402731394970951422995979030946532817
Found probable prime factor of 46 digits: 2045579923402731394970951422995979030946532817
Probable prime cofactor 7907459604603152154413302375669683194588881951117040059813151989369917745449333036897628128749 has 94 digits

GMP-ECM 6.4.4

deban 8

320432672811322360808901304463559313906610947661797209057207750419962930838956811684986691510926330372340934086720085334126192859143020290319856601909689096717<159>

29900550015445877965309411363447<32>

10716614665810322501744949939349905919724769624442236570996214639938686695702633467075870972886708468985706727211337084417760411<128>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=188945894
Step 1 took 21447ms
Step 2 took 7627ms
********** Factor found in step 2: 29900550015445877965309411363447
Found probable prime factor of 32 digits: 29900550015445877965309411363447

10716614665810322501744949939349905919724769624442236570996214639938686695702633467075870972886708468985706727211337084417760411<128>

8493094294945188615385789180319455182786729462204895898261<58>
1261803330287819875122303434030080977477841506399783349757860257943151<70>

Number: 99979_189
N = 10716614665810322501744949939349905919724769624442236570996214639938686695702633467075870972886708468985706727211337084417760411 (128 digits)
Divisors found:
r1=8493094294945188615385789180319455182786729462204895898261 (pp58)
r2=1261803330287819875122303434030080977477841506399783349757860257943151 (pp70)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 29.08 hours.
Factorization parameters were as follows:
# Murphy_E = 1.111e-10, selected by Maksym Voznyy
n: 10716614665810322501744949939349905919724769624442236570996214639938686695702633467075870972886708468985706727211337084417760411
Y0: -5710984755526513577155597
Y1: 32015793533137
c0: -413243432389497418288554575048760
c1: -3096134041715043720730068
c2: 303300414347120806654
c3: -4381267078931827
c4: 2919875140
c5: 1764
skew: 1033017.44
type: gnfs
# selected mechanically
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 17479992
Relations: 1702812 relations
Pruned matrix : 1014458 x 1014684
Polynomial selection time: 0.00 hours.
Total sieving time: 28.30 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.58 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: gnfs,127,5,65,2000,1e-05,0.28,250,20,50000,3600,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 29.08 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

3774261925243836777580485739877348249932822985710839694557061994990008475763416835623390474598629859128736951010826318143948911824773745236964711604906639018054011<163>

822577955564890297881061793671067<33>
4588333421422571121998349812363501673692728477570603326229781811252654912447853170521839472572186069499955531055448680308228246433<130>

Input number is 3774261925243836777580485739877348249932822985710839694557061994990008475763416835623390474598629859128736951010826318143948911824773745236964711604906639018054011 (163 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3284743430
Step 1 took 3673ms
Step 2 took 2515ms
********** Factor found in step 2: 822577955564890297881061793671067
Found probable prime factor of 33 digits: 822577955564890297881061793671067
Probable prime cofactor 4588333421422571121998349812363501673692728477570603326229781811252654912447853170521839472572186069499955531055448680308228246433 has 130 digits

2264419667794080199428382805207155663585165861963709626670217843746397367603762399394683482445208692711339024392012311690006598023423749573445327<145>

119530390778401278551303173699<30>

18944300717564899600975909128749983711523024212614986266576811859858366144303199100881380934501789659146289768624773<116>

Input number is 2264419667794080199428382805207155663585165861963709626670217843746397367603762399394683482445208692711339024392012311690006598023423749573445327 (145 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3055455106
Step 1 took 3456ms
Step 2 took 2677ms
********** Factor found in step 2: 119530390778401278551303173699
Found probable prime factor of 30 digits: 119530390778401278551303173699
Composite cofactor 18944300717564899600975909128749983711523024212614986266576811859858366144303199100881380934501789659146289768624773 has 116 digits

18944300717564899600975909128749983711523024212614986266576811859858366144303199100881380934501789659146289768624773<116>

6284033067659845637427748720736809776205783885457<49>
3014672347136406499823384779788404698870590080505641107137072926389<67>

11/24/14 02:46:25 v1.34.3, 
11/24/14 02:46:25 v1.34.3, ****************************
11/24/14 02:46:25 v1.34.3, Starting factorization of 18944300717564899600975909128749983711523024212614986266576811859858366144303199100881380934501789659146289768624773
11/24/14 02:46:25 v1.34.3, using pretesting plan: none
11/24/14 02:46:25 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
11/24/14 02:46:25 v1.34.3, ****************************
11/24/14 02:46:25 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C116
11/24/14 02:46:25 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C116
11/24/14 02:46:25 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C116
11/24/14 02:46:25 v1.34.3, final ECM pretested depth: 0.00
11/24/14 02:46:25 v1.34.3, scheduler: switching to sieve method
11/24/14 02:46:25 v1.34.3, nfs: commencing nfs on c116: 18944300717564899600975909128749983711523024212614986266576811859858366144303199100881380934501789659146289768624773
11/24/14 02:46:25 v1.34.3, nfs: commencing poly selection with 8 threads
11/24/14 02:46:25 v1.34.3, nfs: setting deadline of 900 seconds
11/24/14 03:01:53 v1.34.3, nfs: completed 149 ranges of size 250 in 927.7955 seconds
11/24/14 03:01:53 v1.34.3, nfs: best poly = # norm 6.143169e-11 alpha -6.999436 e 5.447e-10 rroots 3
11/24/14 03:01:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
11/24/14 03:07:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
[21 lines snipped]
11/24/14 05:13:04 v1.34.3, nfs: commencing lattice sieving with 8 threads
11/24/14 05:18:47 v1.34.3, nfs: commencing lattice sieving with 8 threads
11/24/14 05:24:29 v1.34.3, nfs: commencing msieve filtering
11/24/14 05:26:28 v1.34.3, nfs: commencing msieve linear algebra
11/24/14 05:34:42 v1.34.3, nfs: commencing msieve sqrt
11/24/14 05:37:24 v1.34.3, prp49 = 6284033067659845637427748720736809776205783885457
11/24/14 05:37:24 v1.34.3, prp67 = 3014672347136406499823384779788404698870590080505641107137072926389
11/24/14 05:37:24 v1.34.3, NFS elapsed time = 10259.3005 seconds.
11/24/14 05:37:24 v1.34.3, 
11/24/14 05:37:24 v1.34.3, 
11/24/14 05:37:24 v1.34.3, Total factoring time = 10259.3230 seconds
--
Mon Nov 24 05:24:29 2014  
Mon Nov 24 05:24:29 2014  commencing relation filtering
Mon Nov 24 05:24:29 2014  estimated available RAM is 15987.3 MB
Mon Nov 24 05:24:29 2014  commencing duplicate removal, pass 1
Mon Nov 24 05:25:01 2014  found 1022801 hash collisions in 10209461 relations
Mon Nov 24 05:25:11 2014  added 62640 free relations
Mon Nov 24 05:25:11 2014  commencing duplicate removal, pass 2
Mon Nov 24 05:25:19 2014  found 434973 duplicates and 9837128 unique relations
Mon Nov 24 05:25:19 2014  memory use: 41.3 MB
Mon Nov 24 05:25:19 2014  reading ideals above 100000
Mon Nov 24 05:25:19 2014  commencing singleton removal, initial pass
Mon Nov 24 05:26:05 2014  memory use: 344.5 MB
Mon Nov 24 05:26:05 2014  reading all ideals from disk
Mon Nov 24 05:26:05 2014  memory use: 340.6 MB
Mon Nov 24 05:26:05 2014  keeping 10695741 ideals with weight <= 200, target excess is 52610
Mon Nov 24 05:26:06 2014  commencing in-memory singleton removal
Mon Nov 24 05:26:06 2014  begin with 9837128 relations and 10695741 unique ideals
Mon Nov 24 05:26:10 2014  reduce to 3649215 relations and 3364460 ideals in 18 passes
Mon Nov 24 05:26:10 2014  max relations containing the same ideal: 106
Mon Nov 24 05:26:11 2014  removing 779303 relations and 667439 ideals in 111864 cliques
Mon Nov 24 05:26:11 2014  commencing in-memory singleton removal
Mon Nov 24 05:26:11 2014  begin with 2869912 relations and 3364460 unique ideals
Mon Nov 24 05:26:12 2014  reduce to 2732197 relations and 2553541 ideals in 10 passes
Mon Nov 24 05:26:12 2014  max relations containing the same ideal: 90
Mon Nov 24 05:26:12 2014  removing 585970 relations and 474106 ideals in 111864 cliques
Mon Nov 24 05:26:13 2014  commencing in-memory singleton removal
Mon Nov 24 05:26:13 2014  begin with 2146227 relations and 2553541 unique ideals
Mon Nov 24 05:26:13 2014  reduce to 2038183 relations and 1966790 ideals in 10 passes
Mon Nov 24 05:26:13 2014  max relations containing the same ideal: 72
Mon Nov 24 05:26:14 2014  removing 90569 relations and 80204 ideals in 10365 cliques
Mon Nov 24 05:26:14 2014  commencing in-memory singleton removal
Mon Nov 24 05:26:14 2014  begin with 1947614 relations and 1966790 unique ideals
Mon Nov 24 05:26:14 2014  reduce to 1944676 relations and 1883638 ideals in 7 passes
Mon Nov 24 05:26:14 2014  max relations containing the same ideal: 70
Mon Nov 24 05:26:15 2014  relations with 0 large ideals: 167
Mon Nov 24 05:26:15 2014  relations with 1 large ideals: 984
Mon Nov 24 05:26:15 2014  relations with 2 large ideals: 11555
Mon Nov 24 05:26:15 2014  relations with 3 large ideals: 73254
Mon Nov 24 05:26:15 2014  relations with 4 large ideals: 251830
Mon Nov 24 05:26:15 2014  relations with 5 large ideals: 496229
Mon Nov 24 05:26:15 2014  relations with 6 large ideals: 566896
Mon Nov 24 05:26:15 2014  relations with 7+ large ideals: 543761
Mon Nov 24 05:26:15 2014  commencing 2-way merge
Mon Nov 24 05:26:15 2014  reduce to 1093674 relation sets and 1032636 unique ideals
Mon Nov 24 05:26:15 2014  commencing full merge
Mon Nov 24 05:26:24 2014  memory use: 116.3 MB
Mon Nov 24 05:26:24 2014  found 548720 cycles, need 540836
Mon Nov 24 05:26:24 2014  weight of 540836 cycles is about 38102163 (70.45/cycle)
Mon Nov 24 05:26:24 2014  distribution of cycle lengths:
Mon Nov 24 05:26:24 2014  1 relations: 62092
Mon Nov 24 05:26:24 2014  2 relations: 59514
Mon Nov 24 05:26:24 2014  3 relations: 59455
Mon Nov 24 05:26:24 2014  4 relations: 53907
Mon Nov 24 05:26:24 2014  5 relations: 50546
Mon Nov 24 05:26:24 2014  6 relations: 43100
Mon Nov 24 05:26:24 2014  7 relations: 39258
Mon Nov 24 05:26:24 2014  8 relations: 34107
Mon Nov 24 05:26:24 2014  9 relations: 29073
Mon Nov 24 05:26:24 2014  10+ relations: 109784
Mon Nov 24 05:26:24 2014  heaviest cycle: 21 relations
Mon Nov 24 05:26:24 2014  commencing cycle optimization
Mon Nov 24 05:26:24 2014  start with 3279930 relations
Mon Nov 24 05:26:27 2014  pruned 64522 relations
Mon Nov 24 05:26:27 2014  memory use: 111.7 MB
Mon Nov 24 05:26:27 2014  distribution of cycle lengths:
Mon Nov 24 05:26:27 2014  1 relations: 62092
Mon Nov 24 05:26:27 2014  2 relations: 60700
Mon Nov 24 05:26:27 2014  3 relations: 61168
Mon Nov 24 05:26:27 2014  4 relations: 55035
Mon Nov 24 05:26:27 2014  5 relations: 51320
Mon Nov 24 05:26:27 2014  6 relations: 43751
Mon Nov 24 05:26:27 2014  7 relations: 39685
Mon Nov 24 05:26:27 2014  8 relations: 34111
Mon Nov 24 05:26:27 2014  9 relations: 28999
Mon Nov 24 05:26:27 2014  10+ relations: 103975
Mon Nov 24 05:26:27 2014  heaviest cycle: 21 relations
Mon Nov 24 05:26:28 2014  RelProcTime: 119
Mon Nov 24 05:26:28 2014  
Mon Nov 24 05:26:28 2014  commencing linear algebra
Mon Nov 24 05:26:28 2014  read 540836 cycles
Mon Nov 24 05:26:28 2014  cycles contain 1889779 unique relations
Mon Nov 24 05:26:41 2014  read 1889779 relations
Mon Nov 24 05:26:42 2014  using 20 quadratic characters above 134217468
Mon Nov 24 05:26:48 2014  building initial matrix
Mon Nov 24 05:26:58 2014  memory use: 237.9 MB
Mon Nov 24 05:26:58 2014  read 540836 cycles
Mon Nov 24 05:26:58 2014  matrix is 540659 x 540836 (164.6 MB) with weight 52197300 (96.51/col)
Mon Nov 24 05:26:58 2014  sparse part has weight 36660453 (67.78/col)
Mon Nov 24 05:27:00 2014  filtering completed in 2 passes
Mon Nov 24 05:27:00 2014  matrix is 539869 x 540046 (164.5 MB) with weight 52164680 (96.59/col)
Mon Nov 24 05:27:00 2014  sparse part has weight 36651688 (67.87/col)
Mon Nov 24 05:27:01 2014  matrix starts at (0, 0)
Mon Nov 24 05:27:02 2014  matrix is 539869 x 540046 (164.5 MB) with weight 52164680 (96.59/col)
Mon Nov 24 05:27:02 2014  sparse part has weight 36651688 (67.87/col)
Mon Nov 24 05:27:02 2014  saving the first 48 matrix rows for later
Mon Nov 24 05:27:02 2014  matrix includes 64 packed rows
Mon Nov 24 05:27:02 2014  matrix is 539821 x 540046 (158.0 MB) with weight 41522879 (76.89/col)
Mon Nov 24 05:27:02 2014  sparse part has weight 36012257 (66.68/col)
Mon Nov 24 05:27:02 2014  using block size 65536 for processor cache size 8192 kB
Mon Nov 24 05:27:03 2014  commencing Lanczos iteration (8 threads)
Mon Nov 24 05:27:03 2014  memory use: 149.8 MB
Mon Nov 24 05:27:05 2014  linear algebra at 0.6%, ETA 0h 5m
Mon Nov 24 05:34:42 2014  lanczos halted after 8538 iterations (dim = 539819)
Mon Nov 24 05:34:42 2014  recovered 31 nontrivial dependencies
Mon Nov 24 05:34:42 2014  BLanczosTime: 494
Mon Nov 24 05:34:42 2014  
Mon Nov 24 05:34:42 2014  commencing square root phase
Mon Nov 24 05:34:42 2014  reading relations for dependency 1
Mon Nov 24 05:34:42 2014  read 269730 cycles
Mon Nov 24 05:34:43 2014  cycles contain 944672 unique relations
Mon Nov 24 05:34:52 2014  read 944672 relations
Mon Nov 24 05:34:54 2014  multiplying 944672 relations
Mon Nov 24 05:35:24 2014  multiply complete, coefficients have about 41.65 million bits
Mon Nov 24 05:35:24 2014  initial square root is modulo 954209
Mon Nov 24 05:36:03 2014  GCD is N, no factor found
Mon Nov 24 05:36:03 2014  reading relations for dependency 2
Mon Nov 24 05:36:03 2014  read 270072 cycles
Mon Nov 24 05:36:03 2014  cycles contain 945738 unique relations
Mon Nov 24 05:36:12 2014  read 945738 relations
Mon Nov 24 05:36:14 2014  multiplying 945738 relations
Mon Nov 24 05:36:47 2014  multiply complete, coefficients have about 41.70 million bits
Mon Nov 24 05:36:47 2014  initial square root is modulo 969869
Mon Nov 24 05:37:24 2014  sqrtTime: 162
--
n: 18944300717564899600975909128749983711523024212614986266576811859858366144303199100881380934501789659146289768624773
skew: 59490.18
c0: -5966930899615040654922470925
c1: -172834069783253883598224
c2: 5851186547995430849
c3: -117530425131556
c4: -769788840
c5: 30744
Y0: -14386125560060690811986
Y1: 1355588195411
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5

yafu v1.34.3

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

96883042081062066531308438531100158313048133158568861459715067261149224846284783798403212453388461908987611<107>

24687473220417136066425748400365208131<38>
3924380645036505920142141190873072238944726784842980961409578945459081<70>

GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 96883042081062066531308438531100158313048133158568861459715067261149224846284783798403212453388461908987611 (107 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4016643395
Step 1 took 4181ms
Step 2 took 3868ms
********** Factor found in step 2: 24687473220417136066425748400365208131
Found probable prime factor of 38 digits: 24687473220417136066425748400365208131
Probable prime cofactor 3924380645036505920142141190873072238944726784842980961409578945459081 has 70 digits

GMP-ECM

383366771478889378801863592351420943417693485275266936975651205992114635463094889343147912465825254668256361769032486358554665573172116836788307480415178448616103233<165>

8958927548690409327214007432536608122359<40>

42791591894827729511105898511855435840599631171162853757769511117722244870337891727475853708389124779541903388541439204862087<125>

GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 383366771478889378801863592351420943417693485275266936975651205992114635463094889343147912465825254668256361769032486358554665573172116836788307480415178448616103233 (165 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1609586038
Step 1 took 49718ms
Step 2 took 20295ms
********** Factor found in step 2: 8958927548690409327214007432536608122359
Found probable prime factor of 40 digits: 8958927548690409327214007432536608122359
Composite cofactor 42791591894827729511105898511855435840599631171162853757769511117722244870337891727475853708389124779541903388541439204862087 has 125 digits

42791591894827729511105898511855435840599631171162853757769511117722244870337891727475853708389124779541903388541439204862087<125>

21473663791645814131973607783250136158078390748301802856927197<62>
1992747595846942211830381346261872306419706680712207774740776371<64>

07/13/15 08:00:25 v1.34.3, 
07/13/15 08:00:25 v1.34.3, ****************************
07/13/15 08:00:25 v1.34.3, Starting factorization of 42791591894827729511105898511855435840599631171162853757769511117722244870337891727475853708389124779541903388541439204862087
07/13/15 08:00:25 v1.34.3, using pretesting plan: none
07/13/15 08:00:25 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
07/13/15 08:00:25 v1.34.3, ****************************
07/13/15 08:00:25 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C125
07/13/15 08:00:25 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C125
07/13/15 08:00:25 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C125
07/13/15 08:00:25 v1.34.3, final ECM pretested depth: 0.00
07/13/15 08:00:25 v1.34.3, scheduler: switching to sieve method
07/13/15 08:00:25 v1.34.3, nfs: commencing nfs on c125: 42791591894827729511105898511855435840599631171162853757769511117722244870337891727475853708389124779541903388541439204862087
07/13/15 08:00:25 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
07/13/15 08:00:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
07/13/15 08:05:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
[69 lines snipped]
07/13/15 14:54:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
07/13/15 15:00:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
07/13/15 15:06:29 v1.34.3, nfs: commencing msieve filtering
07/13/15 15:08:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
07/13/15 15:14:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
07/13/15 15:20:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
07/13/15 15:26:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
07/13/15 15:32:41 v1.34.3, nfs: commencing msieve filtering
07/13/15 15:35:03 v1.34.3, nfs: commencing msieve linear algebra
07/13/15 15:58:16 v1.34.3, nfs: commencing msieve sqrt
07/13/15 16:03:12 v1.34.3, prp64 = 1992747595846942211830381346261872306419706680712207774740776371
07/13/15 16:03:12 v1.34.3, prp62 = 21473663791645814131973607783250136158078390748301802856927197
07/13/15 16:03:12 v1.34.3, NFS elapsed time = 28967.2403 seconds.
07/13/15 16:03:12 v1.34.3, 
07/13/15 16:03:12 v1.34.3, 
07/13/15 16:03:12 v1.34.3, Total factoring time = 28967.2727 seconds
--
Mon Jul 13 15:06:29 2015  
Mon Jul 13 15:06:29 2015  commencing relation filtering
Mon Jul 13 15:06:29 2015  estimated available RAM is 15986.4 MB
Mon Jul 13 15:06:29 2015  commencing duplicate removal, pass 1
Mon Jul 13 15:07:03 2015  found 1322648 hash collisions in 10134078 relations
Mon Jul 13 15:07:16 2015  added 62937 free relations
Mon Jul 13 15:07:16 2015  commencing duplicate removal, pass 2
Mon Jul 13 15:07:25 2015  found 859010 duplicates and 9338005 unique relations
Mon Jul 13 15:07:25 2015  memory use: 41.3 MB
Mon Jul 13 15:07:25 2015  reading ideals above 100000
Mon Jul 13 15:07:25 2015  commencing singleton removal, initial pass
Mon Jul 13 15:08:09 2015  memory use: 344.5 MB
Mon Jul 13 15:08:09 2015  reading all ideals from disk
Mon Jul 13 15:08:10 2015  memory use: 339.5 MB
Mon Jul 13 15:08:10 2015  keeping 10307523 ideals with weight <= 200, target excess is 48303
Mon Jul 13 15:08:10 2015  commencing in-memory singleton removal
Mon Jul 13 15:08:11 2015  begin with 9338005 relations and 10307523 unique ideals
Mon Jul 13 15:08:15 2015  reduce to 3474023 relations and 3468471 ideals in 19 passes
Mon Jul 13 15:08:15 2015  max relations containing the same ideal: 105
Mon Jul 13 15:32:41 2015  
Mon Jul 13 15:32:41 2015  commencing relation filtering
Mon Jul 13 15:32:41 2015  estimated available RAM is 15986.4 MB
Mon Jul 13 15:32:41 2015  commencing duplicate removal, pass 1
Mon Jul 13 15:33:17 2015  found 1453304 hash collisions in 10746995 relations
Mon Jul 13 15:33:27 2015  added 179 free relations
Mon Jul 13 15:33:27 2015  commencing duplicate removal, pass 2
Mon Jul 13 15:33:36 2015  found 941849 duplicates and 9805325 unique relations
Mon Jul 13 15:33:36 2015  memory use: 41.3 MB
Mon Jul 13 15:33:36 2015  reading ideals above 100000
Mon Jul 13 15:33:36 2015  commencing singleton removal, initial pass
Mon Jul 13 15:34:26 2015  memory use: 344.5 MB
Mon Jul 13 15:34:26 2015  reading all ideals from disk
Mon Jul 13 15:34:26 2015  memory use: 356.6 MB
Mon Jul 13 15:34:27 2015  keeping 10505544 ideals with weight <= 200, target excess is 50799
Mon Jul 13 15:34:27 2015  commencing in-memory singleton removal
Mon Jul 13 15:34:28 2015  begin with 9805325 relations and 10505544 unique ideals
Mon Jul 13 15:34:31 2015  reduce to 4108127 relations and 3921093 ideals in 16 passes
Mon Jul 13 15:34:31 2015  max relations containing the same ideal: 116
Mon Jul 13 15:34:32 2015  removing 539167 relations and 475113 ideals in 64054 cliques
Mon Jul 13 15:34:33 2015  commencing in-memory singleton removal
Mon Jul 13 15:34:33 2015  begin with 3568960 relations and 3921093 unique ideals
Mon Jul 13 15:34:34 2015  reduce to 3510414 relations and 3386181 ideals in 11 passes
Mon Jul 13 15:34:34 2015  max relations containing the same ideal: 105
Mon Jul 13 15:34:35 2015  removing 406595 relations and 342541 ideals in 64054 cliques
Mon Jul 13 15:34:35 2015  commencing in-memory singleton removal
Mon Jul 13 15:34:35 2015  begin with 3103819 relations and 3386181 unique ideals
Mon Jul 13 15:34:36 2015  reduce to 3063535 relations and 3002639 ideals in 8 passes
Mon Jul 13 15:34:36 2015  max relations containing the same ideal: 95
Mon Jul 13 15:34:38 2015  relations with 0 large ideals: 178
Mon Jul 13 15:34:38 2015  relations with 1 large ideals: 342
Mon Jul 13 15:34:38 2015  relations with 2 large ideals: 5012
Mon Jul 13 15:34:38 2015  relations with 3 large ideals: 45279
Mon Jul 13 15:34:38 2015  relations with 4 large ideals: 207704
Mon Jul 13 15:34:38 2015  relations with 5 large ideals: 551245
Mon Jul 13 15:34:38 2015  relations with 6 large ideals: 866919
Mon Jul 13 15:34:38 2015  relations with 7+ large ideals: 1386856
Mon Jul 13 15:34:38 2015  commencing 2-way merge
Mon Jul 13 15:34:39 2015  reduce to 1798188 relation sets and 1737293 unique ideals
Mon Jul 13 15:34:39 2015  ignored 1 oversize relation sets
Mon Jul 13 15:34:39 2015  commencing full merge
Mon Jul 13 15:34:56 2015  memory use: 210.2 MB
Mon Jul 13 15:34:56 2015  found 910192 cycles, need 901493
Mon Jul 13 15:34:56 2015  weight of 901493 cycles is about 63390910 (70.32/cycle)
Mon Jul 13 15:34:56 2015  distribution of cycle lengths:
Mon Jul 13 15:34:56 2015  1 relations: 118866
Mon Jul 13 15:34:56 2015  2 relations: 106797
Mon Jul 13 15:34:56 2015  3 relations: 103046
Mon Jul 13 15:34:56 2015  4 relations: 90488
Mon Jul 13 15:34:56 2015  5 relations: 82680
Mon Jul 13 15:34:56 2015  6 relations: 69832
Mon Jul 13 15:34:56 2015  7 relations: 61563
Mon Jul 13 15:34:56 2015  8 relations: 52540
Mon Jul 13 15:34:56 2015  9 relations: 44587
Mon Jul 13 15:34:56 2015  10+ relations: 171094
Mon Jul 13 15:34:56 2015  heaviest cycle: 22 relations
Mon Jul 13 15:34:56 2015  commencing cycle optimization
Mon Jul 13 15:34:57 2015  start with 5287487 relations
Mon Jul 13 15:35:02 2015  pruned 114054 relations
Mon Jul 13 15:35:02 2015  memory use: 177.3 MB
Mon Jul 13 15:35:02 2015  distribution of cycle lengths:
Mon Jul 13 15:35:02 2015  1 relations: 118866
Mon Jul 13 15:35:02 2015  2 relations: 109127
Mon Jul 13 15:35:02 2015  3 relations: 106202
Mon Jul 13 15:35:02 2015  4 relations: 92393
Mon Jul 13 15:35:02 2015  5 relations: 84229
Mon Jul 13 15:35:02 2015  6 relations: 70590
Mon Jul 13 15:35:02 2015  7 relations: 61836
Mon Jul 13 15:35:02 2015  8 relations: 52455
Mon Jul 13 15:35:02 2015  9 relations: 44163
Mon Jul 13 15:35:02 2015  10+ relations: 161632
Mon Jul 13 15:35:02 2015  heaviest cycle: 22 relations
Mon Jul 13 15:35:03 2015  RelProcTime: 142
Mon Jul 13 15:35:03 2015  
Mon Jul 13 15:35:03 2015  commencing linear algebra
Mon Jul 13 15:35:03 2015  read 901493 cycles
Mon Jul 13 15:35:04 2015  cycles contain 2988827 unique relations
Mon Jul 13 15:35:19 2015  read 2988827 relations
Mon Jul 13 15:35:21 2015  using 20 quadratic characters above 134217494
Mon Jul 13 15:35:30 2015  building initial matrix
Mon Jul 13 15:35:47 2015  memory use: 386.7 MB
Mon Jul 13 15:35:48 2015  read 901493 cycles
Mon Jul 13 15:35:48 2015  matrix is 901319 x 901493 (273.6 MB) with weight 86492016 (95.94/col)
Mon Jul 13 15:35:48 2015  sparse part has weight 60892589 (67.55/col)
Mon Jul 13 15:35:52 2015  filtering completed in 2 passes
Mon Jul 13 15:35:52 2015  matrix is 900236 x 900412 (273.5 MB) with weight 86447317 (96.01/col)
Mon Jul 13 15:35:52 2015  sparse part has weight 60880537 (67.61/col)
Mon Jul 13 15:35:53 2015  matrix starts at (0, 0)
Mon Jul 13 15:35:53 2015  matrix is 900236 x 900412 (273.5 MB) with weight 86447317 (96.01/col)
Mon Jul 13 15:35:53 2015  sparse part has weight 60880537 (67.61/col)
Mon Jul 13 15:35:53 2015  saving the first 48 matrix rows for later
Mon Jul 13 15:35:54 2015  matrix includes 64 packed rows
Mon Jul 13 15:35:54 2015  matrix is 900188 x 900412 (264.0 MB) with weight 68953466 (76.58/col)
Mon Jul 13 15:35:54 2015  sparse part has weight 60205876 (66.86/col)
Mon Jul 13 15:35:54 2015  using block size 65536 for processor cache size 8192 kB
Mon Jul 13 15:35:56 2015  commencing Lanczos iteration (8 threads)
Mon Jul 13 15:35:56 2015  memory use: 252.1 MB
Mon Jul 13 15:36:00 2015  linear algebra at 0.3%, ETA 0h19m
Mon Jul 13 15:58:15 2015  lanczos halted after 14236 iterations (dim = 900188)
Mon Jul 13 15:58:16 2015  recovered 30 nontrivial dependencies
Mon Jul 13 15:58:16 2015  BLanczosTime: 1393
Mon Jul 13 15:58:16 2015  
Mon Jul 13 15:58:16 2015  commencing square root phase
Mon Jul 13 15:58:16 2015  reading relations for dependency 1
Mon Jul 13 15:58:16 2015  read 450180 cycles
Mon Jul 13 15:58:16 2015  cycles contain 1495870 unique relations
Mon Jul 13 15:58:28 2015  read 1495870 relations
Mon Jul 13 15:58:32 2015  multiplying 1495870 relations
Mon Jul 13 15:59:27 2015  multiply complete, coefficients have about 68.80 million bits
Mon Jul 13 15:59:27 2015  initial square root is modulo 86837
Mon Jul 13 16:00:42 2015  GCD is 1, no factor found
Mon Jul 13 16:00:42 2015  reading relations for dependency 2
Mon Jul 13 16:00:42 2015  read 450710 cycles
Mon Jul 13 16:00:43 2015  cycles contain 1494650 unique relations
Mon Jul 13 16:00:54 2015  read 1494650 relations
Mon Jul 13 16:00:58 2015  multiplying 1494650 relations
Mon Jul 13 16:01:57 2015  multiply complete, coefficients have about 68.74 million bits
Mon Jul 13 16:01:57 2015  initial square root is modulo 85991
Mon Jul 13 16:03:12 2015  sqrtTime: 296
--
# Murphy_E = 1.476e-10, selected by Erik Branger
# expecting poly E from 1.76e-010 to > 2.02e-010
n: 42791591894827729511105898511855435840599631171162853757769511117722244870337891727475853708389124779541903388541439204862087
Y0: -1111711533288785999160732
Y1: 9056886806407
c0: 34259151386828370447508014492289
c1: 714103512012095199403921964
c2: 2166133474843605151559
c3: -5977948306118936
c4: -18901479060
c5: 25200
skew: 373174.8
type: gnfs
# selected mechanically
rlim: 7000000
alim: 7000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5

yafu v1.34.3

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

1890520759654467585017669467694636168058404057037576679119781245704440652845883673987699713116375021825849170978505975540538001669163187503452311707633993796900279821<166>

666932966563464186846063457886961002791315368133<48>
19076729090919686330661302517066587096325294468231123863<56>
148591974333318092268254340219084488593348870950547866628094399<63>

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 1890520759654467585017669467694636168058404057037576679119781245704440652845883673987699713116375021825849170978505975540538001669163187503452311707633993796900279821 (166 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=130550342
Step 1 took 29465ms
Step 2 took 10055ms
********** Factor found in step 2: 666932966563464186846063457886961002791315368133
Found probable prime factor of 48 digits: 666932966563464186846063457886961002791315368133
Composite cofactor 2834648839441600614637439415219475205865905965720943852140675885293757703213457103661395750787375330277978693825543337 has 118 digits

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 2834648839441600614637439415219475205865905965720943852140675885293757703213457103661395750787375330277978693825543337 (118 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=941364247
Step 1 took 19805ms
Step 2 took 7509ms
********** Factor found in step 2: 19076729090919686330661302517066587096325294468231123863
Found probable prime factor of 56 digits: 19076729090919686330661302517066587096325294468231123863
Probable prime cofactor 148591974333318092268254340219084488593348870950547866628094399 has 63 digits

Core i7-4930K

2450982329489514555257856936170486366028230278253286876643581269110344973442123274368798732088351200684513616435738357110413609219387851463<139>

306097770886964116411748044259979701<36>

8007187776596432976450799904303638905874937392729409050049603131021083922943449945357826841111781220363<103>

GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 2450982329489514555257856936170486366028230278253286876643581269110344973442123274368798732088351200684513616435738357110413609219387851463 (139 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:498182220
Step 1 took 34117ms
Step 2 took 21981ms
********** Factor found in step 2: 306097770886964116411748044259979701
Found probable prime factor of 36 digits: 306097770886964116411748044259979701
Composite cofactor 8007187776596432976450799904303638905874937392729409050049603131021083922943449945357826841111781220363 has 103 digits

GMP-ECM

8007187776596432976450799904303638905874937392729409050049603131021083922943449945357826841111781220363<103>

14158657033069896656898540404673746597102851<44>
565532999202842129500483418044494191105130943031194138228313<60>

Number: 99979_200
N=8007187776596432976450799904303638905874937392729409050049603131021083922943449945357826841111781220363
  ( 103 digits)
Divisors found:
 r1=14158657033069896656898540404673746597102851 (pp44)
 r2=565532999202842129500483418044494191105130943031194138228313 (pp60)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 8.41 hours.
Scaled time: 17.33 units (timescale=2.061).
Factorization parameters were as follows:
name: 99979_200
n: 8007187776596432976450799904303638905874937392729409050049603131021083922943449945357826841111781220363
skew: 4519.60
# norm 1.68e+014
c5: 293280
c4: 2577240544
c3: -25743066553118
c2: -29435826914445919
c1: 210103393924945115598
c0: 261974836527482898248000
# alpha -5.79
Y1: 92862819643
Y0: -30706986986285471229
# Murphy_E 2.39e-009
# M 6379930466278993799920613508693109670347161237823385938780836502476061767234568076008364222334271107912
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 281778 x 282005
Polynomial selection time: 0.56 hours.
Total sieving time: 7.46 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 8.41 hours.
 --------- CPU info (if available) ----------

15361987214277976956726539498163461105454499107035593366746453830743037308150882883131882213720097808700561771638972517277966895437390482700269396180545576323102893366605904621958774081<185>

7318760603345355263219786066654746035836003741488031903069127688034277016474647259876709<88>
2098987526283633049595980586190720920361001265974286530239871092544828180960542718406662086619309<97>

Number: n
N=15361987214277976956726539498163461105454499107035593366746453830743037308150882883131882213720097808700561771638972517277966895437390482700269396180545576323102893366605904621958774081  ( 185 digits)
SNFS difficulty: 202 digits.
Divisors found:

Mon Sep  6 20:44:04 2021  p88 factor: 7318760603345355263219786066654746035836003741488031903069127688034277016474647259876709
Mon Sep  6 20:44:04 2021  p97 factor: 2098987526283633049595980586190720920361001265974286530239871092544828180960542718406662086619309
Mon Sep  6 20:44:04 2021  elapsed time 01:41:00 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 10^202-21 = 9(200)79
#
n: 15361987214277976956726539498163461105454499107035593366746453830743037308150882883131882213720097808700561771638972517277966895437390482700269396180545576323102893366605904621958774081
m: 10000000000000000000000000000000000000000
deg: 5
c5: 100
c0: -21
skew: 0.73
# Murphy_E = 1.263e-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, 35350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9654100 hash collisions in 66593888 relations (59662958 unique)
Msieve: matrix is 2042474 x 2042703 (700.6 MB)

Sieving start time : 2021/09/06 07:01:19
Sieving end time  : 2021/09/06 18:59:42

Total sieving time: 11hrs 58min 23secs.

Total relation processing time: 1hrs 22min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 26sec.

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) ----------
[    0.116939] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.154077] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798404)
[    0.152034] smpboot: Total of 16 processors activated (102387.23 BogoMIPS)

9090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909089<202>

107579406921015039661895483204502198589290980960969290078316731039<66>
84504175576870858429571695071290942574996539863071966601197621187093717754269390290983638593354619438065870807323499545642777376242069951<137>

Number: n
N=9090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909089
  ( 202 digits)
SNFS difficulty: 203 digits.
Divisors found:

Sun Dec 21 21:15:20 2014  prp66 factor: 107579406921015039661895483204502198589290980960969290078316731039
Sun Dec 21 21:15:20 2014  prp137 factor: 84504175576870858429571695071290942574996539863071966601197621187093717754269390290983638593354619438065870807323499545642777376242069951
Sun Dec 21 21:15:20 2014  elapsed time 03:04:15 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.272).
Factorization parameters were as follows:
#
#  N = 10^203-21 9(201)79
#
n: 9090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909089
m: 10000000000000000000000000000000000000000
deg: 5
c5: 1000
c0: -21
skew: 0.46
# Murphy_E = 1.33e-11
type: snfs
lss: 1
rlim: 16900000
alim: 16900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16900000/16900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 28050000)
Primes: RFBsize:1085243, AFBsize:1083530,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 11985165 hash collisions in 81607566 relations (71395734 unique)
Msieve: matrix is 1750547 x 1750778 (496.3 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 2hrs 30min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 21sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,16900000,16900000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038684] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059644K/16661464K available (7373K kernel code, 1159K rwdata, 3228K rodata, 1468K init, 1504K bss, 601820K reserved)
[    1.137325] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.13 BogoMIPS (lpj=3600065)
[    0.136532] smpboot: Total of 8 processors activated (57601.04 BogoMIPS)

88639157321004501123000507804868376302686483557609163310441000460595653187135689185447538706437543781649774510404495310044570693393192656313181714341045380261408752586723288414878979584602694079047<197>

784446307374428710526521871280028221247703<42>
14049901038625811283653743051308740866536017<44>
105287612078131133687820761996191158709249659619816639<54>
76385663328448881222268199052944392556620232963795507133823<59>

#
# N = 10^205-21 = 9(203)79
#
n: 88639157321004501123000507804868376302686483557609163310441000460595653187135689185447538706437543781649774510404495310044570693393192656313181714341045380261408752586723288414878979584602694079047
m: 100000000000000000000000000000000000000000
deg: 5
c5: 1
c0: -21
skew: 1.84
# Murphy_E = 1.351e-11
type: snfs
lss: 1
rlim: 18300000
alim: 18300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



#
# N = 10^205-21 = 9(203)79
#
# n: 88639157321004501123000507804868376302686483557609163310441000460595653187135689185447538706437543781649774510404495310044570693393192656313181714341045380261408752586723288414878979584602694079047
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 88639157321004501123000507804868376302686483557609163310441000460595653187135689185447538706437543781649774510404495310044570693393192656313181714341045380261408752586723288414878979584
602694079047 (197 digits)
# Using B1=43480000, B2=240490660426, polynomial Dickson(12), sigma=1:524176277
# Step 1 took 138182ms
# Step 2 took 44038ms
# ********** Factor found in step 2: 784446307374428710526521871280028221247703
# Found prime factor of 42 digits: 784446307374428710526521871280028221247703
# Composite cofactor 112995824555135065783336256124728196563659297085477178433485346823351478113595460421325443529709972328857809501262934061729587866399576491553833242979167249 has 156 digits
#
n: 112995824555135065783336256124728196563659297085477178433485346823351478113595460421325443529709972328857809501262934061729587866399576491553833242979167249
m: 100000000000000000000000000000000000000000
deg: 5
c5: 1
c0: -21
skew: 1.84
# Murphy_E = 1.351e-11
type: snfs
lss: 1
rlim: 18300000
alim: 18300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



Number: n
N=112995824555135065783336256124728196563659297085477178433485346823351478113595460421325443529709972328857809501262934061729587866399576491553833242979167249  ( 156 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sat Apr 24 18:55:25 2021  found factor: 105287612078131133687820761996191158709249659619816639
Sat Apr 24 18:57:26 2021  p44 factor: 14049901038625811283653743051308740866536017
Sat Apr 24 18:57:26 2021  p54 factor: 105287612078131133687820761996191158709249659619816639
Sat Apr 24 18:57:26 2021  p59 factor: 76385663328448881222268199052944392556620232963795507133823
Sat Apr 24 18:57:26 2021  elapsed time 01:35:06 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 10^205-21 = 9(203)79
#
# n: 88639157321004501123000507804868376302686483557609163310441000460595653187135689185447538706437543781649774510404495310044570693393192656313181714341045380261408752586723288414878979584602694079047
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 88639157321004501123000507804868376302686483557609163310441000460595653187135689185447538706437543781649774510404495310044570693393192656313181714341045380261408752586723288414878979584
602694079047 (197 digits)
# Using B1=43480000, B2=240490660426, polynomial Dickson(12), sigma=1:524176277
# Step 1 took 138182ms
# Step 2 took 44038ms
# ********** Factor found in step 2: 784446307374428710526521871280028221247703
# Found prime factor of 42 digits: 784446307374428710526521871280028221247703
# Composite cofactor 112995824555135065783336256124728196563659297085477178433485346823351478113595460421325443529709972328857809501262934061729587866399576491553833242979167249 has 156 digits
#
n: 112995824555135065783336256124728196563659297085477178433485346823351478113595460421325443529709972328857809501262934061729587866399576491553833242979167249
m: 100000000000000000000000000000000000000000
deg: 5
c5: 1
c0: -21
skew: 1.84
# Murphy_E = 1.351e-11
type: snfs
lss: 1
rlim: 18300000
alim: 18300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18300000/18300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 29150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8060134 hash collisions in 61507324 relations (56089979 unique)
Msieve: matrix is 1982185 x 1982412 (686.8 MB)

Sieving start time : 2021/04/24 09:52:36
Sieving end time  : 2021/04/24 17:20:48

Total sieving time: 7hrs 28min 12secs.

Total relation processing time: 1hrs 15min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 3sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18300000,18300000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118393] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241108K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486128K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.30 BogoMIPS (lpj=12798612)
[    0.152049] smpboot: Total of 16 processors activated (102388.89 BogoMIPS)

79630761009339546226398014165385022583227560455142091972888259095330164210222888114107091103437224682231353019207722629701562559471237185574721607678057007026310605084446299489591101<182>

76405192328629059568998508593862012454364122359<47>
1042216616206355188209194717961992529890283291262405403936502200622326757266503790116059394624307517538799862361782479286679928401144939<136>

#
# N = 10^207-21 = 9(205)79
#
n: 79630761009339546226398014165385022583227560455142091972888259095330164210222888114107091103437224682231353019207722629701562559471237185574721607678057007026310605084446299489591101
m: 100000000000000000000000000000000000000000
deg: 5
c5: 100
c0: -21
skew: 0.73
# Murphy_E = 7.775e-12
type: snfs
lss: 1
rlim: 19700000
alim: 19700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 79630761009339546226398014165385022583227560455142091972888259095330164210222888114107091103437224682231353019207722629701562559471237185574721607678057007026310605084446299489591101 (182 digits)
Using B1=38860000, B2=192392390206, polynomial Dickson(12), sigma=1:758891559
Step 1 took 105730ms
Step 2 took 33002ms
********** Factor found in step 2: 76405192328629059568998508593862012454364122359
Found prime factor of 47 digits: 76405192328629059568998508593862012454364122359
Prime cofactor 1042216616206355188209194717961992529890283291262405403936502200622326757266503790116059394624307517538799862361782479286679928401144939 has 136 digits

9090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909089<208>

2857887989238234444609570998499247<34>
15646777094384238139772084681582471983<38>

203299923862061498769967241489249779683342573452102161529778531458289114278964567845352181057030592443149265770198083880518245616818453889<138>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3458216917
Step 1 took 5334ms
Step 2 took 3256ms
********** Factor found in step 2: 2857887989238234444609570998499247
Found probable prime factor of 34 digits: 2857887989238234444609570998499247
 
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3291850732
Step 1 took 5384ms
Step 2 took 3272ms
********** Factor found in step 2: 15646777094384238139772084681582471983
Found probable prime factor of 38 digits: 15646777094384238139772084681582471983

203299923862061498769967241489249779683342573452102161529778531458289114278964567845352181057030592443149265770198083880518245616818453889<138>

500472825415574298880274508695001402831197145114166213<54>
406215709500807941170463584710106793833255693060672894257658634047210964287315354253<84>

Number: 99979_209
N = 203299923862061498769967241489249779683342573452102161529778531458289114278964567845352181057030592443149265770198083880518245616818453889 (138 digits)
Divisors found:
r1=500472825415574298880274508695001402831197145114166213 (pp54)
r2=406215709500807941170463584710106793833255693060672894257658634047210964287315354253 (pp84)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 128.84 hours.
Factorization parameters were as follows:
# Murphy_E = 2.8e-11, selected by Erik Branger
# expecting poly E from 2.99e-011 to > 3.44e-011
n: 203299923862061498769967241489249779683342573452102161529778531458289114278964567845352181057030592443149265770198083880518245616818453889
Y0: -701118760557587515967908802
Y1: 413336860806409
c0: -3475195730540084090217836352102482565
c1: -42615656818214473830014479359
c2: 374811896008470451718685
c3: -95713010682616321
c4: -9236464520
c5: 1200
skew: 6711461.7
type: gnfs
# selected mechanically
rlim: 15400000
alim: 15400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 15400000/15400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23100360
Relations: 3781618 relations
Pruned matrix : 2286616 x 2286842
Polynomial selection time: 0.00 hours.
Total sieving time: 125.16 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.46 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,15400000,15400000,28,28,55,55,2.6,2.6,100000
total time: 128.84 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

7710133509956225544720095534916430830829709317367899666202629638584885518096016887801969629284501662488617343043603373565411852584997734687457472402023790426983958588659653292620583342281<187>

424414930975240171736398890914283401756948394071<48>
18166499213963857801715004209663453515815828754839565897053632029644517088212255358884746594454372549833449689021633509194765980733514732511<140>

Fri Jun  2 13:50:58 2023  Msieve v. 1.53 (SVN unknown)
Fri Jun  2 13:50:58 2023  random seeds: 1671f8c8 1c71ab0a
Fri Jun  2 13:50:58 2023  factoring 7710133509956225544720095534916430830829709317367899666202629638584885518096016887801969629284501662488617343043603373565411852584997734687457472402023790426983958588659653292620583342281 (187 digits)
Fri Jun  2 13:50:59 2023  searching for 15-digit factors
Fri Jun  2 13:51:00 2023  commencing number field sieve (187-digit input)
Fri Jun  2 13:51:00 2023  R0: -1000000000000000000000000000000000000000000
Fri Jun  2 13:51:00 2023  R1: 1
Fri Jun  2 13:51:00 2023  A0: -21
Fri Jun  2 13:51:00 2023  A1: 0
Fri Jun  2 13:51:00 2023  A2: 0
Fri Jun  2 13:51:00 2023  A3: 0
Fri Jun  2 13:51:00 2023  A4: 0
Fri Jun  2 13:51:00 2023  A5: 10
Fri Jun  2 13:51:00 2023  skew 1.16, size 1.849e-14, alpha -0.076, combined = 6.586e-12 rroots = 1
Fri Jun  2 13:51:00 2023  
Fri Jun  2 13:51:00 2023  commencing square root phase
Fri Jun  2 13:51:00 2023  reading relations for dependency 1
Fri Jun  2 13:51:01 2023  read 2204564 cycles
Fri Jun  2 13:51:05 2023  cycles contain 7328678 unique relations
Fri Jun  2 13:53:01 2023  read 7328678 relations
Fri Jun  2 13:53:37 2023  multiplying 7328678 relations
Fri Jun  2 13:57:20 2023  multiply complete, coefficients have about 201.42 million bits
Fri Jun  2 13:57:22 2023  initial square root is modulo 16923961
Fri Jun  2 14:02:55 2023  GCD is 1, no factor found
Fri Jun  2 14:02:55 2023  reading relations for dependency 2
Fri Jun  2 14:03:00 2023  read 2205288 cycles
Fri Jun  2 14:03:03 2023  cycles contain 7330906 unique relations
Fri Jun  2 14:12:17 2023  read 7330906 relations
Fri Jun  2 14:13:00 2023  multiplying 7330906 relations
Fri Jun  2 14:17:11 2023  multiply complete, coefficients have about 201.48 million bits
Fri Jun  2 14:17:12 2023  initial square root is modulo 17009761
Fri Jun  2 14:23:07 2023  sqrtTime: 1927
Fri Jun  2 14:23:07 2023  p48 factor: 424414930975240171736398890914283401756948394071
Fri Jun  2 14:23:07 2023  p140 factor: 18166499213963857801715004209663453515815828754839565897053632029644517088212255358884746594454372549833449689021633509194765980733514732511
Fri Jun  2 14:23:07 2023  elapsed time 00:32:09

1397764362563470208336918016521490899638464054329870740203031144272666814335812356955415943434265385440441910471599126436410799982896955259673378530789471149843037352023753831219701622875710918679648859787<205>

2213881012282054422437837004314265371<37>

631363815313029683304701580140323378505481464146524920029616467120081462155761990865019395847206961840978239533607275851041563662144111881381261761527670981703164482897<168>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1816508937
Step 1 took 36033ms
Step 2 took 12809ms
********** Factor found in step 2: 2213881012282054422437837004314265371
Found probable prime factor of 37 digits: 2213881012282054422437837004314265371

1597952064633965110314620782005781390569845685769118297989296917071081701691112670002125276245963173596718445640067689249457894762072927336325764899704538663249179851102826617407131020883635532701290026701779<208>

16498882524371713785483376018726111653677<41>
96852139062964567300858967434158835965996152559441358217107538615650166480644924206236473534989138406418261530290835542636563961160221569085027762299102381704408182527<167>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3607303167
Step 1 took 16129ms
Step 2 took 11069ms
********** Factor found in step 2: 16498882524371713785483376018726111653677
Found probable prime factor of 41 digits: 16498882524371713785483376018726111653677
Probable prime cofactor

23792072407368455025468831013548500313031092838939933054423559283094022605606953434307950580015510874933501774215253822074942296986575830588520942922650001793350393814792857765563633091<185>

1486317697699901687838416580403736594196225592790587731598745820210050938714650049166239773173576959739277464530664245755531829016618641676120102656552578279527844606181610117376066396940195555558780798901<205>

1274990341365457641255095475956182256779067<43>
1165748201753530068294221160575036311457879774826458615828926355729475917563374880817017846884520460225480587232345738222413303028149585956626939181335909959665103<163>

#
# N = 10^215-21 = 9(213)79
#
n: 1486317697699901687838416580403736594196225592790587731598745820210050938714650049166239773173576959739277464530664245755531829016618641676120102656552578279527844606181610117376066396940195555558780798901
m: 10000000000000000000000000000000000000000000
deg: 5
c5: 1
c0: -21
skew: 1.84
# Murphy_E = 5.067e-12
type: snfs
lss: 1
rlim: 27000000
alim: 27000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 1486317697699901687838416580403736594196225592790587731598745820210050938714650049166239773173576959739277464530664245755531829016618641676120102656552578279527844606181610117376066396940195555558780798901 (205 digits)
Using B1=14780000, B2=46847228620, polynomial Dickson(12), sigma=2068362430
Step 1 took 77046ms
Step 2 took 24064ms
********** Factor found in step 2: 1274990341365457641255095475956182256779067
Found probable prime factor of 43 digits: 1274990341365457641255095475956182256779067
Probable prime cofactor 1165748201753530068294221160575036311457879774826458615828926355729475917563374880817017846884520460225480587232345738222413303028149585956626939181335909959665103 has 163 digits

26576915821582372528971589095841127895443236451039091715936227557682283884318318946091104228120984989921398504917781358595952432192982822058554964795833518779067787873728469416503495888514848897647883066949<206>

1746720575358001354715330408351454473537<40>
15215321898944979609414317912295314294681243500030236469186514902785872486335428371847175128583443211229681101179837317720189674158444122014791115098300561378298575877<167>

Run 259 out of 311:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=124642762
Step 1 took 68960ms
Step 2 took 21388ms
********** Factor found in step 2: 1746720575358001354715330408351454473537
Found probable prime factor of 40 digits: 1746720575358001354715330408351454473537
Probable prime cofactor 15215321898944979609414317912295314294681243500030236469186514902785872486335428371847175128583443211229681101179837317720189674158444122014791115098300561378298575877 has 167 digits

GMP-ECM 6.4.4

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

7832073122563901354638610328666457700619661719445145805316159680419574297342023003556920842664321998696180772105217438294392466979256051098447962704106099478406116945451743110051308941395442354099202779403<205>

85946393670340064774050863693647713358206480782069867872524241637157474217314839937910817531908615715902199776254616361122010915692823737096738149631145407239413891529370752271961728383276873<191>

8845362075689361057305864788670857938128606456838782612765145187670660411999367396375007<88>
9716548959206042937498223989824515098898637369960107902973189569490155559102916930554640202093296378839<103>

Number: 99979_219
N = 85946393670340064774050863693647713358206480782069867872524241637157474217314839937910817531908615715902199776254616361122010915692823737096738149631145407239413891529370752271961728383276873 (191 digits)
SNFS difficulty: 220 digits.
Divisors found:
r1=8845362075689361057305864788670857938128606456838782612765145187670660411999367396375007 (pp88)
r2=9716548959206042937498223989824515098898637369960107902973189569490155559102916930554640202093296378839 (pp103)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 41.14 hours.
Factorization parameters were as follows:
n: 85946393670340064774050863693647713358206480782069867872524241637157474217314839937910817531908615715902199776254616361122010915692823737096738149631145407239413891529370752271961728383276873
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: -210
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33542431
Relations: 7294752 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 17.70 hours.
Total relation processing time: 0.34 hours.
Pruned matrix : 6486060 x 6486286
Matrix solve time: 22.96 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: snfs,220,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 41.14 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz

GGNFS, FNS_factory, Msieve

4103405826836274107509232663110381616741895773491998358637669265490356996306934755847353303241690603200656544932293803857201477226097661058678703323758719737382027082478457119409109560935576528518670496512105047189167<217>

342828022639694560645613132045307128515170683212578348010397577490618330610731311835748034948256711<99>
11969283593683565626980978529436267425678631007254640395261666321133032365320436604031373021199642468502279111879886297<119>

Number: 99979_220
N = 4103405826836274107509232663110381616741895773491998358637669265490356996306934755847353303241690603200656544932293803857201477226097661058678703323758719737382027082478457119409109560935576528518670496512105047189167 (217 digits)
SNFS difficulty: 220 digits.
Divisors found:
r1=342828022639694560645613132045307128515170683212578348010397577490618330610731311835748034948256711 (pp99)
r2=11969283593683565626980978529436267425678631007254640395261666321133032365320436604031373021199642468502279111879886297 (pp119)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 66.07 hours.
Factorization parameters were as follows:
n: 4103405826836274107509232663110381616741895773491998358637669265490356996306934755847353303241690603200656544932293803857201477226097661058678703323758719737382027082478457119409109560935576528518670496512105047189167
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: -21
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 27
mfbr: 58
mfba: 54
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/27
Total raw relations: 31796528
Relations: 7455734 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 34.66 hours.
Total relation processing time: 0.75 hours.
Pruned matrix : 6452053 x 6452300
Matrix solve time: 29.77 hours.
time per square root: 0.89 hours.
Prototype def-par.txt line would be: snfs,220,4,0,0,0,0,0,0,0,0,536870912,536870912,29,27,58,54,2.8,2.8,100000
total time: 66.07 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.16299-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

170831932582673553978821156891278033722618557076273052726288273288614558397532714378675405502881483060261852443405931080115396380384081741869550357275316718990820150820699042983683801<183>

16434675931441825355079729318771079<35>
817726191399486228627620261817029389981<39>

12711593636769784400180889143887391567238415090923202062763284398214459088647501212622827724417151791729806699<110>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2649604334
Step 1 took 4548ms
Step 2 took 2847ms
********** Factor found in step 2: 16434675931441825355079729318771079
Found probable prime factor of 35 digits: 16434675931441825355079729318771079
 
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1520743343
Step 1 took 4607ms
********** Factor found in step 1: 817726191399486228627620261817029389981
Found probable prime factor of 39 digits: 817726191399486228627620261817029389981

12711593636769784400180889143887391567238415090923202062763284398214459088647501212622827724417151791729806699<110>

24182058442926898952842552215165829931<38>
525662183257515289771813894400536698653596248705749062564197441682177729<72>

11/21/14 00:41:42 v1.33 @ JANELT3, nfs: commencing gnfs on c110: 12711593636769784400180889143887391567238415090923202062763284398214459088647501212622827724417151791729806699
11/21/14 00:41:42 v1.33 @ JANELT3, nfs: commencing poly selection with 4 threads
11/21/14 00:41:42 v1.33 @ JANELT3, nfs: setting deadline of 847 seconds
11/21/14 00:55:51 v1.33 @ JANELT3, nfs: completed 773 ranges of size 250 in 849.5272 seconds
11/21/14 00:55:51 v1.33 @ JANELT3, nfs: best poly = # norm 2.197877e-010 alpha -5.708079 e 1.183e-009 rroots 3
11/21/14 00:55:51 v1.33 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/21/14 01:15:09 v1.33 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/21/14 01:33:26 v1.33 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/21/14 01:52:18 v1.33 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/21/14 02:11:11 v1.33 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/21/14 02:30:23 v1.33 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/21/14 02:50:11 v1.33 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/21/14 03:09:33 v1.33 @ JANELT3, nfs: commencing msieve filtering
11/21/14 03:11:05 v1.33 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/21/14 03:29:48 v1.33 @ JANELT3, nfs: commencing msieve filtering
11/21/14 03:32:10 v1.33 @ JANELT3, nfs: commencing msieve linear algebra
11/21/14 03:37:24 v1.33 @ JANELT3, nfs: commencing msieve sqrt
11/21/14 03:46:50 v1.33 @ JANELT3, prp38 = 24182058442926898952842552215165829931
11/21/14 03:46:50 v1.33 @ JANELT3, prp72 = 525662183257515289771813894400536698653596248705749062564197441682177729
11/21/14 03:46:50 v1.33 @ JANELT3, NFS elapsed time = 11108.5987 seconds.
11/21/14 03:46:50 v1.33 @ JANELT3, 
11/21/14 03:46:50 v1.33 @ JANELT3, 
11/21/14 03:46:50 v1.33 @ JANELT3, Total factoring time = 13090.3232 seconds

yafu-x64 v.1.33

Intel(R) Core(TM) i7-4710MQ CPU @ 2.50GHz,WIN64,
Windows 7 Professional

3267613735994137275454088471022781294419784909022213617831831000663233058999302089120162713067617514213901882190862843008910114461496644205769353442990080888288163668702878934601334603891484138081183<199>

2459876140607813693853064341130201<34>

1328365148981338039022592929759054677048773915023757299630555411198434855429086898795934298635479967950783088122588713869106030986663422669629762352549754517764374583<166>

Input number is 3267613735994137275454088471022781294419784909022213617831831000663233058999302089120162713067617514213901882190862843008910114461496644205769353442990080888288163668702878934601334603891484138081183 (199 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=471660996
Step 1 took 5360ms
Step 2 took 3172ms
********** Factor found in step 2: 2459876140607813693853064341130201
Found probable prime factor of 34 digits: 2459876140607813693853064341130201
Composite cofactor 1328365148981338039022592929759054677048773915023757299630555411198434855429086898795934298635479967950783088122588713869106030986663422669629762352549754517764374583 has 166 digits

1926502054784936859983628084647903362480275532793360108770768373650683499522037729960939342443351847640982147623687360727266547054135522649825899793831722253285890548818071628043790647784601334606260575689558033862169<217>

166391741453630986793273220578115602993<39>

11578111016536253048462422754682970773118174841437964605745047596281618553729548960896086722839020813111997249316929646393121544593306593378178592533410990524013057580652994633833<179>

Run 149 out of 311:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=156112489
Step 1 took 80288ms
Step 2 took 23339ms
********** Factor found in step 2: 166391741453630986793273220578115602993
Found probable prime factor of 39 digits: 166391741453630986793273220578115602993
Composite cofactor 11578111016536253048462422754682970773118174841437964605745047596281618553729548960896086722839020813111997249316929646393121544593306593378178592533410990524013057580652994633833 has 179 digits

GMP-ECM 6.4.4

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

43393635786362339753847966796669345738895917493784913143156252797755639706199554239721708229276161694109976354603156048461459997465262650288744686804020512543031914817380349958020216889<185>

124509909134087198400092351205345502990429704223556747349767856298302707175600301488830498888592409183919981681583652827192368537276437278817014363881841451927372708139346836803725552765949816621182204698798471<210>

843021424133936780977286017047444128973053632662302100471663406088961828953641374307557745097220995712756031679470373106777086830478983210911060599806949071727599187074831228889277908477513679124163489302687501106879<216>

9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999979<232>

947137612185854571013339791367736304941316715263207403842547<60>
10558127848942106712504696445707664610921696357145447124323564203053069519395617753860867558821056927783735951449391563606997416437049885313338634188038566485635991601148457<173>

prp60: 947137612185854571013339791367736304941316715263207403842547
prp173: 10558127848942106712504696445707664610921696357145447124323564203053069519395617753860867558821056927783735951449391563606997416437049885313338634188038566485635991601148457

ggnfs-lasieve4I14e on the NFS@Home grid + msieve

120322420771596400578847101847995963904717637570338983152815610823386780151565340549149121953150540313846595892216619341853203518275712329787391485720796876141182959505609611740002981589586720158806343831183793339985558903058993<228>

24863326135185907805315606205587816636333754101953<50>
4839353355918030595277861727245732278488496625955463625884039040703815183047217977362963715982711615203581542926218925295717446606872035371630709522432099563420007845891726093681<178>

#
# N = 10^234-21 = 9(232)79
#
n: 120322420771596400578847101847995963904717637570338983152815610823386780151565340549149121953150540313846595892216619341853203518275712329787391485720796876141182959505609611740002981589586720158806343831183793339985558903058993
m: 1000000000000000000000000000000000000000
deg: 6
c6: 1
c0: -21
skew: 1.66
# Murphy_E = 8.592e-13
type: snfs
lss: 1
rlim: 56000000
alim: 56000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 120322420771596400578847101847995963904717637570338983152815610823386780151565340549149121953150540313846595892216619341853203518275712329787391485720796876141182959505609611740002981589586720158806343831183793339985558903058993 (228 digits)
Using B1=60530000, B2=388129104100, polynomial Dickson(30), sigma=1:906515891
Step 1 took 136968ms
********** Factor found in step 1: 24863326135185907805315606205587816636333754101953
Found prime factor of 50 digits: 24863326135185907805315606205587816636333754101953
Prime cofactor 4839353355918030595277861727245732278488496625955463625884039040703815183047217977362963715982711615203581542926218925295717446606872035371630709522432099563420007845891726093681 has 178 digits

107650017263267985920565751531273677431368744678353560249788876936441888849861440729997348032546314563287786263139983726533040993452525932487167015388971798666235690843521452965688805843427484231990446235821827332778109<219>

4417269628311965184303915759453291944020009364358813024439915400587267335815637157626362146550329489418506058550452165759424561137138625491276442189899693848157575283338052548790491115663435289623945337798539<208>

782112795317646582475681871834281<33>
5647867743319477719788284537299666521690514831531719993926003290275885159268879664392791058263971869848488306028253545784476914748737906660551333047472010002953880920709011219<175>

Input number is 4417269628311965184303915759453291944020009364358813024439915400587267335815637157626362146550329489418506058550452165759424561137138625491276442189899693848157575283338052548790491115663435289623945337798539 (208 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2330394314
Step 1 took 5380ms
Step 2 took 3262ms
********** Factor found in step 2: 782112795317646582475681871834281
Found probable prime factor of 33 digits: 782112795317646582475681871834281
Probable prime cofactor 5647867743319477719788284537299666521690514831531719993926003290275885159268879664392791058263971869848488306028253545784476914748737906660551333047472010002953880920709011219 has 175 digits

24796814389857834822768932347392281323537329506835191993214961226477348793601248621745349551585290980133694401218001778880691716494909416908209765854333138904053300315654710419127219489809874614166419764145277<209>

305356655948261279721268241<27>

81206071349102450981893374607406680978322840799220574842718270573239150511840555463222689618308200125637246064301920111790853997431535961931486762728075239484768146434974464739949997<182>

Input number is 24796814389857834822768932347392281323537329506835191993214961226477348793601248621745349551585290980133694401218001778880691716494909416908209765854333138904053300315654710419127219489809874614166419764145277 (209 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2709649890
Step 1 took 5381ms
Step 2 took 3456ms
********** Factor found in step 2: 305356655948261279721268241
Found probable prime factor of 27 digits: 305356655948261279721268241
Composite cofactor 81206071349102450981893374607406680978322840799220574842718270573239150511840555463222689618308200125637246064301920111790853997431535961931486762728075239484768146434974464739949997 has 182 digits

18538618368449418153658516691026172114185058987686320980266295922496239507765553129267419492089774392350140727470588493325646551601645724001736201886460025461375819393943968498398799071540971441558712594730158861463<215>

158821859964008208834630769899855005301004411598705124306571760947835724051699077121386128363645487986819943748200640773791779530229037388701645896274150939807871767009278530274765695791976876111703389579653804001577262142819<225>

20549593944277689906192387885630069499<38>

7728710377181651622760797762831583521141617885412696143694793645577616881947704779973969162042099354589527340069927393373348681364883286831961167766048685331138992231949068098298742186681<187>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3149156428
Step 1 took 6026ms
********** Factor found in step 1: 20549593944277689906192387885630069499
Found probable prime factor of 38 digits: 20549593944277689906192387885630069499
Composite cofactor

1147433764385950820988858418147812417528198184759784741425801195625982490160755470390471710020539064382508519695700565684845842273754747507200146871521841401705086573877522919989443609367649252446902502553040125758740576700209980378882629<238>

21142013477866834531992288112576778243922760243140963371827815073691812051634613823694840806103920979083086985979458180106667474103488374805887922866510393352035137346008162699126176693091993575289<197>

221172222190974248444860974326888689<36>

95590726848200075115487535010374269103417020102953174445199549006115634125284250106121497862608920108652242862126818594565080652038897328678252693958066579099401<161>

Input number is 21142013477866834531992288112576778243922760243140963371827815073691812051634613823694840806103920979083086985979458180106667474103488374805887922866510393352035137346008162699126176693091993575289 (197 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=9751569
Step 1 took 5338ms
Step 2 took 3148ms
********** Factor found in step 2: 221172222190974248444860974326888689
Found probable prime factor of 36 digits: 221172222190974248444860974326888689
Composite cofactor 95590726848200075115487535010374269103417020102953174445199549006115634125284250106121497862608920108652242862126818594565080652038897328678252693958066579099401 has 161 digits

95590726848200075115487535010374269103417020102953174445199549006115634125284250106121497862608920108652242862126818594565080652038897328678252693958066579099401<161>

139061971217957250550117884828520123953445856689<48>
623042801706521131088713889532147837683213473098001189<54>
1103289537646417409898213526767018088333396647662789292668581<61>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1624576088
Step 1 took 40650ms
Step 2 took 14924ms
********** Factor found in step 2: 139061971217957250550117884828520123953445856689
Found probable prime factor of 48 digits: 139061971217957250550117884828520123953445856689

Divisors found:
 r1=623042801706521131088713889532147837683213473098001189 (pp54)
 r2=1103289537646417409898213526767018088333396647662789292668581 (pp61)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 11.90 hours.
Scaled time: 28.55 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  687396604628716222734439093317126577130268250907084910062807500324895800525236240279285842400179084729802920942809
skew:  60592.52
Y0:  -7764373634125532311157
Y1:  793201987289
c0:  -2519862928115661051537991680
c1:  -524469699495464662923592
c2:  -1318275371666845934
c3:  57856900859717
c4:  -1115776506
c5:  24360
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [1750000, 2750001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 530969 x 531198
Total sieving time: 11.34 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,52,52,2.6,2.6,100000
total time: 11.90 hours.

829668962084128432755330623081390525180452999253297934124284410520202439226748527337592300672031859288144030531817804695926325396166929395171326640670372521363975773666307143449763544345806023396664730772421803700323570895212810088774578943<240>

3705433636222384730846352786869018043953<40>
223906037332234965686031822713180448958460536562735003272281580341226658543099079887242598588283546074077812643716271735824673289267886091832270906705738372355403779450921372048040361820040758451318831<201>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2497957896
Step 1 took 22816ms
Step 2 took 8639ms
********** Factor found in step 2: 3705433636222384730846352786869018043953
Found probable prime factor of 40 digits: 3705433636222384730846352786869018043953
Probable prime cofactor 

48590594877515151092225325731457994043590115957543980565804938375442980324692699063617027440582200201250982280894766925276779835828720268117228912118600411227953457365053549603913388085774537149468267855729687483137<215>

4248982415795256774408202116333987821<37>

11435819243893184803310509056748193584960887310622283006120459823300956369636392426434953817460296908136408452326472718507252396258308618016637034373180785207990225323106038074597<179>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4294132786
Step 1 took 41240ms
Step 2 took 13091ms
********** Factor found in step 2: 4248982415795256774408202116333987821
Found probable prime factor of 37 digits: 4248982415795256774408202116333987821

4126705086973264552398640654070142555575856170231730640148501458708347241770471985252804638169934715873802723486502780648454006577870762118533564121001059332088207606222477453826585439615427717176137702214660318194076084057056959891239<235>

1150747986191024165707710011507479861910241657077100115074798619102416570771001150747986191024165707710011507479861910241657077100115074798619102416570771001150747986191024165707710011507479861910241657077100115074798619102416570771001150747986191<247>

2196298051899248383408978387<28>
45875713338385571630769894056501891713<38>

11421052210306150602958732568762559463075197741495507301406133772406118426834174954602152216307494365766045934625448460014725348380276877155628523300522012294400563167013975448661461<182>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=4073287325
Step 1 took 6984ms
Step 2 took 3956ms
********** Factor found in step 2: 45875713338385571630769894056501891713
Found probable prime factor of 38 digits: 45875713338385571630769894056501891713
 
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2513474971
Step 1 took 7020ms
Step 2 took 3991ms
********** Factor found in step 2: 2196298051899248383408978387
Found probable prime factor of 28 digits: 2196298051899248383408978387

11836548890526617540101375398551464917302281400998545049576827006474276219193525490171016470545818248093601222075895064180964722493460630478166507814561203104650824533<167>

734753857457751653196179279941219691403379867744305657604702424687729610580455547391623806024981631153563556208670095518001469507714915503306392358559882439382806759735488611315209404849375459221160911094783247612049963262307127112417340191036002939<249>

147484499452910727018626500305048317627382279003551764682552148007315809472790949835721130804421861144783618446404071324037662434678877370777<141>

25552259390286351237103526398846509454279925893444578305383<59>
5771877046183114176896374946622895796022556293306633647857833198972047733326219519<82>

Number: 99979_253
N = 147484499452910727018626500305048317627382279003551764682552148007315809472790949835721130804421861144783618446404071324037662434678877370777 (141 digits)
Divisors found:
r1=25552259390286351237103526398846509454279925893444578305383 (pp59)
r2=5771877046183114176896374946622895796022556293306633647857833198972047733326219519 (pp82)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 181.30 hours.
Factorization parameters were as follows:
# Murphy_E = 2.208e-11, selected by Erik Branger
# expecting poly E from 2.01e-011 to > 2.31e-011
n: 147484499452910727018626500305048317627382279003551764682552148007315809472790949835721130804421861144783618446404071324037662434678877370777
Y0: -2772685778634453952621492859
Y1: 207218506057501
c0: 93089967261011987370435377046994140
c1: 420857137286095651200585237324
c2: -253581019682934864390135
c3: -15270569895823726
c4: 16490439610
c5: 900
skew: 4218585.75
type: gnfs
# selected mechanically
rlim: 18400000
alim: 18400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18400000/18400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23141509
Relations: 3495662 relations
Pruned matrix : 2169555 x 2169788
Polynomial selection time: 0.00 hours.
Total sieving time: 178.63 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.03 hours.
time per square root: 0.48 hours.
Prototype def-par.txt line would be: gnfs,140,5,65,2000,1e-05,0.28,250,20,50000,3600,18400000,18400000,28,28,56,56,2.6,2.6,100000
total time: 181.30 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 8, speed: 3.50GHz

GGNFS, Msieve

473933649289099526066350710900473933649289099526066350710900473933649289099526066350710900473933649289099526066350710900473933649289099526066350710900473933649289099526066350710900473933649289099526066350710900473933649289099526066350710900473933649289<252>

69286236799069279649298659728263208078672530995019320469689499111902681047066574024326132454704987913046938018374712878629280256396031339915913580057776981147815923504861955902631239465846796842563<197>

356061902083348675860477272159289352423328231009491816014171695144421328463299858276482924965496601681187150237592267961452805419027392343494294909608225663165524854851697190665681619517592581854290432959224499<210>

271708111487411303497263831671967223234489699378811735763345258944919159641147509105685796821991436383169644212957244134975129554005831631355782525980438691103512245098000190157309211080495139287120583060277405149762226952569467<228>

5920333684768512954839262106020987871005107643821435554416475728024241126245292342447851264679403811916103771326095399283617650413692657329160736549797234490460105667817231659088505640840721925409302958034700907534739044572134075850497286039<241>

45056700987061122998139267653913855401757708210966127913425171876016417085504042346297241019597247694076959603885064149092739198673311197576343285403576599878947036884551642707786342612230264529230487056320028876151335673801509<227>

19604819119147051181602804162589658444377784915677947535511024068861385288499323394450555751962604134367908394595198687910276250332684560660586009989179843367129628279629807720601555624112952350901546283584177809977515996420935204921679612701284409<248>

1039996980343364448719915109510650683933735399174599117763442141256187124875153827338218835071667280739326897471587720069725360220660037066577781585697302915045942817112075228855485267523066877597041801930777356183631259646338099797254318003048774993683<253>

30947970410940182740146455110301760654752132975585300184506080036812579860794611694971897445672266814715289127086080260263445727229499737725342594284514910925219295144584391734211643836881270735914024881277248594891017116159812103223076606586518809800297673<257>

33019646265166441496765853160882524817470687112489890980398376128836151647887045680038572637355244422322399462845632893514245797716231490496908099229044533972344391722369851778450472566035953754910295437<203>

19415219758273904569984596155462205133894817737592903652898124967394601381787158195028630796285875629829299787420539854086062708707172271492553873119098926163804204016260183371960781327078284536710143234180540923733950604233825866026277<236>

6074566882350058190887677211312329951718375656828790762206812903235244039650854647553889205111630762142785909021806268536255277044603186778766614284594898549332671162918195427722631510517936597448502334972563194456640930342103621771493647313<241>

240239663087896485533968687162313123572075502521315264107473615679001371768476231888932398961203696807935596551119396710158053674345527097832797999284085803998068473108773312256306891755215002486480512959728625276575912129940828970981451095612983512351922277664197803729<270>

198084828173401749966203053973052188321556922857356343813578204032196783137651264649480351836810600959017349467275573382903822234492357324385120824611443314755552775270144977155499137345193292144100509959403781042791284378793957<228>

12146915743512543756944724624780607405802023278090146564527990411306153739274167237005392667707408313908944319372210136854233876462120474985481061625349200910250926027685299909<176>

551724681748385061781620099414238101586267018612501897743124218490289272758105266534003897482573587275911416818480584616393929330211038120577649744009808078674811413715076831253277135367<186>

551776478120377104016898041750901261020990837<45>

999906127981083053356448984347797682059045342011777349977068339322733665518199713035145879320154094092081019975927856206684270879991369991691<141>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3879950144
Step 1 took 336928ms
********** Factor found in step 1: 551776478120377104016898041750901261020990837
Found probable prime factor of 45 digits: 551776478120377104016898041750901261020990837

999906127981083053356448984347797682059045342011777349977068339322733665518199713035145879320154094092081019975927856206684270879991369991691<141>

1293333681857945918960611107719987680625374052918847223721<58>
773123086491231071903914732191090464379909731738019322044403775271684393044895207571<84>

Number: 99979_280
N = 999906127981083053356448984347797682059045342011777349977068339322733665518199713035145879320154094092081019975927856206684270879991369991691 (141 digits)
Divisors found:
r1=1293333681857945918960611107719987680625374052918847223721 (pp58)
r2=773123086491231071903914732191090464379909731738019322044403775271684393044895207571 (pp84)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 324.77 hours.
Factorization parameters were as follows:
# Murphy_E = 1.701e-11, selected by Rich Dickerson
n: 999906127981083053356448984347797682059045342011777349977068339322733665518199713035145879320154094092081019975927856206684270879991369991691
Y0: -929765943354506829739662365
Y1: 148702670066321
c0: 8832726186771299955639635749416
c1: 181092110514343861618962020
c2: -12923224331103460168780
c3: -149249405718625950
c4: 1772539455909
c5: 1439100
skew: 92975.53
type: gnfs
# selected mechanically
rlim: 19400000
alim: 19400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19400000/19400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23386630
Relations: 4257136 relations
Pruned matrix : 2618966 x 2619193
Polynomial selection time: 0.00 hours.
Total sieving time: 319.88 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 4.42 hours.
time per square root: 0.25 hours.
Prototype def-par.txt line would be: gnfs,140,5,65,2000,1e-05,0.28,250,20,50000,3600,19400000,19400000,28,28,56,56,2.6,2.6,100000
total time: 324.77 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 8, speed: 3.50GHz

GGNFS, Msieve

29767747837541231922839716711007752424462674199318502372563930458859784597522718626326060854943280627886255282951256933596554871741972632180458519195740291718630343964555079813984115392974623800988023842992292924581216838932893923917901030017500465928579839413<260>

54039693301725989233816830370283398214028258844429244532510533011429184056085583827984084184058944146778559800404908127676851397768132358258370878703423648584116064159763259990477341575286071199338902840413902426188338644633497258672081470981<242>

925675898201567794669687971599365832423128526320176746863850222164333439829853911445530193514450061690911564604187619662308478253819077252748802620434203530317155196152781872100096673<183>