48250207099541320381486426234048916572401910715200651510201078518073780540340990694316873955109328373331455183987<113>

71278904279841751639280680665781860691<38>
676921279683403714414286009774964550351851826502560543637491151314943810657<75>

Number: 16667_131
N=48250207099541320381486426234048916572401910715200651510201078518073780540340990694316873955109328373331455183987
  ( 113 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=71278904279841751639280680665781860691 (pp38)
 r2=676921279683403714414286009774964550351851826502560543637491151314943810657 (pp75)
Version: GGNFS-0.77.1-20050930-k8
Total time: 2.80 hours.
Scaled time: 2.54 units (timescale=0.907).
Factorization parameters were as follows:
n: 48250207099541320381486426234048916572401910715200651510201078518073780540340990694316873955109328373331455183987
m: 100000000000000000000000000
c5: 50
c0: 1
skew: 1
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [500000, 950001)
Primes: RFBsize:78498, AFBsize:78411, largePrimes:1554495 encountered
Relations: rels:1599498, finalFF:217269
Max relations in full relation-set: 28
Initial matrix: 156974 x 217269 with sparse part having weight 10967430.
Pruned matrix : 130993 x 131841 with weight 5274102.
Total sieving time: 2.71 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,131,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,44,44,2.2,2.2,50000
total time: 2.80 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300@2.33GHz

2309077698986888021355688003609105465986085718091745417948908205191294380281367690505515257298840643484242072112589793347<121>

5548241825186025128783144564510863551756594191888167<52>
416181877384096850179759514496060513542552738308357607455754502385541<69>

Number: n
N=2309077698986888021355688003609105465986085718091745417948908205191294380281367690505515257298840643484242072112589793347
  ( 121 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=5548241825186025128783144564510863551756594191888167 (pp52)
 r2=416181877384096850179759514496060513542552738308357607455754502385541 (pp69)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 8.99 hours.
Scaled time: 10.78 units (timescale=1.199).
Factorization parameters were as follows:
name: KA_1_6_137_7
n: 2309077698986888021355688003609105465986085718091745417948908205191294380281367690505515257298840643484242072112589793347
type: snfs
skew: 1
deg: 5
c5: 1
c0: 20
m: 10000000000000000000000000000
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [1600000, 2200001)
Primes: RFBsize:230209, AFBsize:229762, largePrimes:7160178 encountered
Relations: rels:6743778, finalFF:629465
Max relations in full relation-set: 28
Initial matrix: 460035 x 629465 with sparse part having weight 33199001.
Pruned matrix : 307762 x 310126 with weight 14695744.
Total sieving time: 6.80 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.95 hours.
Total square root time: 0.08 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.3,2.3,75000
total time: 8.99 hours.
 --------- CPU info (if available) ----------

Cygwin on Athlon Xp 2700+

426308703774281477995223637282912950320541514367882243304608652873022247346015164653210658740735246095225427779468802302749094307158831539<138>

6125134479493857489788596359529<31>
124754495274432898134178118407138197155338843<45>
557894869819739178785330732398794202349486582304975230797045537<63>

Number: 16667.143
N=426308703774281477995223637282912950320541514367882243304608652873022247346015164653210658740735246095225427779468802302749094307158831539
  ( 138 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=6125134479493857489788596359529 (pp31)
 r2=124754495274432898134178118407138197155338843 (pp45)
 r3=557894869819739178785330732398794202349486582304975230797045537 (pp63)
Version: GGNFS-0.77.1
Total time: 27.46 hours.
Scaled time: 32.98 units (timescale=1.201).
Factorization parameters were as follows:
name: 16667_143
n: 426308703774281477995223637282912950320541514367882243304608652873022247346015164653210658740735246095225427779468802302749094307158831539 
m: 1000000000000000000000000
c6: 1
c0: 2
type: snfs
skew: 1
qintsize: 200000
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [650000, 3850001)
Relations: rels:3273771, finalFF:255803
Initial matrix: 199682 x 255803 with sparse part having weight 32662078.
Pruned matrix : 193403 x 194465 with weight 20914869.
Total sieving time: 26.78 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.41 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,144,6,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 27.46 hours.
 --------- CPU info (if available) ----------

GGNFS-0.77.1

Pentium M 760, Windows XP and Cygwin

1435507636872205843232453222119746091816963578756254265764847729490824807382928031939507196894054566414393121289<112>

9821450547370350820743186696589047734433957809<46>
146160450531063005964151508951960723735329958138243051493844149721<66>

Number: n
N=1435507636872205843232453222119746091816963578756254265764847729490824807382928031939507196894054566414393121289
  ( 112 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=9821450547370350820743186696589047734433957809 (pp46)
 r2=146160450531063005964151508951960723735329958138243051493844149721 (pp66)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 11.15 hours.
Scaled time: 13.33 units (timescale=1.195).
Factorization parameters were as follows:
name: KA_1_6_144_7
n: 1435507636872205843232453222119746091816963578756254265764847729490824807382928031939507196894054566414393121289
type: snfs
skew: 1
deg: 5
c5: 5
c0: 1
m: 100000000000000000000000000000
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [1600000, 2400001)
Primes: RFBsize:230209, AFBsize:229802, largePrimes:6958890 encountered
Relations: rels:6414597, finalFF:521730
Max relations in full relation-set: 28
Initial matrix: 460076 x 521730 with sparse part having weight 27949889.
Pruned matrix : 404635 x 406999 with weight 17520948.
Total sieving time: 7.73 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 3.16 hours.
Total square root time: 0.10 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.3,2.3,100000
total time: 11.15 hours.
 --------- CPU info (if available) ----------

Cygwin on Athlon XP 2700+

138169365311952859564155138398408649511921930828779762166404664699158735354281554235583735296178334497870048258187<114>

55066090111194564517518085962596060838780437707542837161<56>
2509155181218576475680066474978312365041289615110565064467<58>

Number: 16667_146
N=138169365311952859564155138398408649511921930828779762166404664699158735354281554235583735296178334497870048258187
  ( 114 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=55066090111194564517518085962596060838780437707542837161 (pp56)
 r2=2509155181218576475680066474978312365041289615110565064467 (pp58)
Version: GGNFS-0.77.1-20050930-k8
Total time: 12.66 hours.
Scaled time: 11.49 units (timescale=0.907).
Factorization parameters were as follows:
n: 138169365311952859564155138398408649511921930828779762166404664699158735354281554235583735296178334497870048258187
m: 100000000000000000000000000000
c5: 50
c0: 1
skew: 1
type: snfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [900000, 1575001)
Primes: RFBsize:135072, AFBsize:135393, largePrimes:2813371 encountered
Relations: rels:2890053, finalFF:395475
Max relations in full relation-set: 28
Initial matrix: 270530 x 395475 with sparse part having weight 22426642.
Pruned matrix : 198270 x 199686 with weight 11742078.
Total sieving time: 12.41 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,45,45,2.3,2.3,75000
total time: 12.66 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300@2.33GHz

6097285594050155593811700550087359412458342325601225900151084559740331348920054275523792364740957682431413803457047616239657<124>

327551454911584926725646090308651051<36>
18614741295214149817808628598816185490713815805914154383801682093489728139240162417517307<89>

Number: n
N=6097285594050155593811700550087359412458342325601225900151084559740331348920054275523792364740957682431413803457047616239657
  ( 124 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=327551454911584926725646090308651051 (pp36)
 r2=18614741295214149817808628598816185490713815805914154383801682093489728139240162417517307 (pp89)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 16.83 hours.
Scaled time: 19.86 units (timescale=1.180).
Factorization parameters were as follows:
name: KA_1_6_146_7
n: 6097285594050155593811700550087359412458342325601225900151084559740331348920054275523792364740957682431413803457047616239657
type: snfs
skew: 1
deg: 5
c5: 500
c0: 1
m: 100000000000000000000000000000
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [1600000, 1600000)
Primes: RFBsize:230209, AFBsize:229657, largePrimes:7379076 encountered
Relations: rels:6932372, finalFF:607364
Max relations in full relation-set: 28
Initial matrix: 459932 x 607364 with sparse part having weight 37170701.
Pruned matrix : 343861 x 346224 with weight 21575208.
Total sieving time: 12.31 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 3.86 hours.
Total square root time: 0.47 hours, sqrts: 4.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.3,2.3,100000
total time: 16.83 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

722782310870289627746169413515506430457992195423434849290341876222067869070125129260611987346780261939106059985584469415989129554547446299<138>

1738813535312938111598190623296264579<37>
559577859531754734428273075732784737987<39>
742837774773700873641647036143752794028585520948746579669338563<63>

Number: n
N=722782310870289627746169413515506430457992195423434849290341876222067869070125129260611987346780261939106059985584469415989129554547446299
  ( 138 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=1738813535312938111598190623296264579 (pp37)
 r2=559577859531754734428273075732784737987 (pp39)
 r3=742837774773700873641647036143752794028585520948746579669338563 (pp63)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 22.24 hours.
Scaled time: 26.69 units (timescale=1.200).
Factorization parameters were as follows:
name: KA_1_6_150_7
n: 722782310870289627746169413515506430457992195423434849290341876222067869070125129260611987346780261939106059985584469415989129554547446299
type: snfs
skew: 1
deg: 5
c5: 50
c0: 1
m: 1000000000000000000000000000000
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [1600000, 1600000)
Primes: RFBsize:230209, AFBsize:230262, largePrimes:7152336 encountered
Relations: rels:6642883, finalFF:526015
Max relations in full relation-set: 28
Initial matrix: 460536 x 526015 with sparse part having weight 34370220.
Pruned matrix : 407274 x 409640 with weight 22436194.
Total sieving time: 17.08 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 4.77 hours.
Total square root time: 0.22 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.3,2.3,100000
total time: 22.24 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

10852250731524149884902936866649181051649532146672309543153103356807939508754099359950924437097249<98>

263599823092139043940210571668030772184899849<45>
41169415837319584505469666667843139597894309850912601<53>

Sun Mar 18 10:36:11 2007  
Sun Mar 18 10:36:11 2007  
Sun Mar 18 10:36:11 2007  Msieve v. 1.17
Sun Mar 18 10:36:11 2007  random seeds: abffae1c f2f3b328
Sun Mar 18 10:36:11 2007  factoring 10852250731524149884902936866649181051649532146672309543153103356807939508754099359950924437097249 (98 digits)
Sun Mar 18 10:36:11 2007  commencing quadratic sieve (97-digit input)
Sun Mar 18 10:36:12 2007  using multiplier of 41
Sun Mar 18 10:36:12 2007  sieve interval: 9 blocks of size 65536
Sun Mar 18 10:36:12 2007  processing polynomials in batches of 6
Sun Mar 18 10:36:12 2007  using a sieve bound of 2435183 (89412 primes)
Sun Mar 18 10:36:12 2007  using large prime bound of 365277450 (28 bits)
Sun Mar 18 10:36:12 2007  using double large prime bound of 2586551540097000 (43-52 bits)
Sun Mar 18 10:36:12 2007  using trial factoring cutoff of 57 bits
Sun Mar 18 10:36:12 2007  polynomial 'A' values have 13 factors
Sun Mar 18 12:50:27 2007  5404 relations (4490 full + 914 combined from 274893 partial), need 89508
Sun Mar 18 12:50:27 2007  c98 factor: 10852250731524149884902936866649181051649532146672309543153103356807939508754099359950924437097249
Sun Mar 18 12:50:27 2007  elapsed time 02:14:16
Sun Mar 18 13:08:15 2007  
Sun Mar 18 13:08:15 2007  
Sun Mar 18 13:08:15 2007  Msieve v. 1.17
Sun Mar 18 13:08:15 2007  random seeds: fdcc0646 c4cb6867
Sun Mar 18 13:08:15 2007  factoring 10852250731524149884902936866649181051649532146672309543153103356807939508754099359950924437097249 (98 digits)
Sun Mar 18 13:08:15 2007  commencing quadratic sieve (97-digit input)
Sun Mar 18 13:08:15 2007  using multiplier of 41
Sun Mar 18 13:08:15 2007  sieve interval: 9 blocks of size 65536
Sun Mar 18 13:08:15 2007  processing polynomials in batches of 6
Sun Mar 18 13:08:15 2007  using a sieve bound of 2435183 (89412 primes)
Sun Mar 18 13:08:15 2007  using large prime bound of 365277450 (28 bits)
Sun Mar 18 13:08:15 2007  using double large prime bound of 2586551540097000 (43-52 bits)
Sun Mar 18 13:08:15 2007  using trial factoring cutoff of 57 bits
Sun Mar 18 13:08:15 2007  polynomial 'A' values have 13 factors
Sun Mar 18 13:08:17 2007  restarting with 4490 full and 274893 partial relations
Sun Mar 18 18:26:23 2007  36017 relations (14885 full + 21132 combined from 912309 partial), need 89508
Sun Mar 18 18:26:23 2007  c98 factor: 10852250731524149884902936866649181051649532146672309543153103356807939508754099359950924437097249
Sun Mar 18 18:26:23 2007  elapsed time 05:18:08
Sun Mar 18 18:29:05 2007  
Sun Mar 18 18:29:05 2007  
Sun Mar 18 18:29:05 2007  Msieve v. 1.17
Sun Mar 18 18:29:05 2007  random seeds: 3dc363ff e8b00b47
Sun Mar 18 18:29:05 2007  factoring 10852250731524149884902936866649181051649532146672309543153103356807939508754099359950924437097249 (98 digits)
Sun Mar 18 18:29:05 2007  commencing quadratic sieve (97-digit input)
Sun Mar 18 18:29:06 2007  using multiplier of 41
Sun Mar 18 18:29:06 2007  sieve interval: 9 blocks of size 65536
Sun Mar 18 18:29:06 2007  processing polynomials in batches of 6
Sun Mar 18 18:29:06 2007  using a sieve bound of 2435183 (89412 primes)
Sun Mar 18 18:29:06 2007  using large prime bound of 365277450 (28 bits)
Sun Mar 18 18:29:06 2007  using double large prime bound of 2586551540097000 (43-52 bits)
Sun Mar 18 18:29:06 2007  using trial factoring cutoff of 57 bits
Sun Mar 18 18:29:06 2007  polynomial 'A' values have 13 factors
Sun Mar 18 18:29:07 2007  restarting with 14885 full and 912309 partial relations
Sun Mar 18 21:53:48 2007  89522 relations (21678 full + 67844 combined from 1325295 partial), need 89508
Sun Mar 18 21:53:49 2007  begin with 1346973 relations
Sun Mar 18 21:53:52 2007  reduce to 233154 relations in 11 passes
Sun Mar 18 21:53:52 2007  attempting to read 233154 relations
Sun Mar 18 21:53:56 2007  recovered 233154 relations
Sun Mar 18 21:53:56 2007  recovered 221559 polynomials
Sun Mar 18 21:53:56 2007  attempting to build 89522 cycles
Sun Mar 18 21:53:57 2007  found 89522 cycles in 6 passes
Sun Mar 18 21:53:57 2007  distribution of cycle lengths:
Sun Mar 18 21:53:57 2007     length 1 : 21678
Sun Mar 18 21:53:57 2007     length 2 : 15736
Sun Mar 18 21:53:57 2007     length 3 : 15185
Sun Mar 18 21:53:57 2007     length 4 : 12099
Sun Mar 18 21:53:57 2007     length 5 : 9330
Sun Mar 18 21:53:57 2007     length 6 : 6140
Sun Mar 18 21:53:57 2007     length 7 : 3886
Sun Mar 18 21:53:57 2007     length 9+: 5468
Sun Mar 18 21:53:57 2007  largest cycle: 20 relations
Sun Mar 18 21:53:57 2007  matrix is 89412 x 89522 with weight 5818568 (avg 65.00/col)
Sun Mar 18 21:53:58 2007  filtering completed in 3 passes
Sun Mar 18 21:53:58 2007  matrix is 87956 x 88020 with weight 5671841 (avg 64.44/col)
Sun Mar 18 21:54:00 2007  saving the first 48 matrix rows for later
Sun Mar 18 21:54:00 2007  matrix is 87908 x 88020 with weight 4314822 (avg 49.02/col)
Sun Mar 18 21:54:00 2007  matrix includes 32 packed rows
Sun Mar 18 21:58:43 2007  lanczos halted after 1392 iterations
Sun Mar 18 21:58:44 2007  recovered 13 nontrivial dependencies
Sun Mar 18 21:58:47 2007  prp45 factor: 263599823092139043940210571668030772184899849
Sun Mar 18 21:58:47 2007  prp53 factor: 41169415837319584505469666667843139597894309850912601
Sun Mar 18 21:58:47 2007  elapsed time 03:29:42

41784379309082254022420272664407430108498873855191026235623524837893992570300265551878734049587227122851166399024955991693375718542335448001<140>

2404393197926639638979396362008033281<37>
17378346996287391689755245493306607889153873952262426287646796171801225403604837211739059462503566941121<104>

GMP-ECM 5.0 [powered by GMP 4.1.2] [ECM]
Input number is 41784379309082254022420272664407430108498873855191026235623524837893992570300265551878734049587227122851166399024955991693375718542335448001 (140 digits)
Using B1=624500, B2=429254838, polynomial Dickson(3), sigma=3865495778
Step 1 took 11400ms
Step 2 took 7280ms
********** Factor found in step 2: 2404393197926639638979396362008033281
Found probable prime factor of 37 digits: 2404393197926639638979396362008033281
Probable prime cofactor 17378346996287391689755245493306607889153873952262426287646796171801225403604837211739059462503566941121 has 104 digits

6274874636662286126984965165199737990736793445695872199930793134848494661718112540157272646201957940833516045690897<115>

1779063191475882495566028532059457<34>
3527066754417390898547821450334261762905883906849574519258881288012421214812083921<82>

Input number is 6274874636662286126984965165199737990736793445695872199930793134848494661718112540157272646201957940833516045690897 (115 digits)
Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=2058166887
Step 1 took 25094ms
Step 2 took 18094ms
********** Factor found in step 2: 1779063191475882495566028532059457
Found probable prime factor of 34 digits: 1779063191475882495566028532059457
Probable prime cofactor 3527066754417390898547821450334261762905883906849574519258881288012421214812083921 has 82 digits

GMP-ECM 6.1.2

Pentium 4 2.26GHz, Windows XP

24875621890547263681592039800995024875621890547263681592039800995024875621890547263681592039800995024875621890547263681592039800995024875621890547263681592039801<161>

15021343982458863265099067005237957428313579616162543134808299151295298507741<77>
1656018390870730922037745080017419987395416242647949264972839350025244821735227203661<85>

Number: n
N=24875621890547263681592039800995024875621890547263681592039800995024875621890547263681592039800995024875621890547263681592039800995024875621890547263681592039801
  ( 161 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=15021343982458863265099067005237957428313579616162543134808299151295298507741 (pp77)
 r2=1656018390870730922037745080017419987395416242647949264972839350025244821735227203661 (pp85)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 40.32 hours.
Scaled time: 58.51 units (timescale=1.451).
Factorization parameters were as follows:
name: KA_1_6_161_7
n: 24875621890547263681592039800995024875621890547263681592039800995024875621890547263681592039800995024875621890547263681592039800995024875621890547263681592039801
skew: 0.29
deg: 5
c5: 500
c0: 1
m: 100000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 2100001)
Primes: RFBsize:216816, AFBsize:216391, largePrimes:7234005 encountered
Relations: rels:6721359, finalFF:495113
Max relations in full relation-set: 28
Initial matrix: 433273 x 495113 with sparse part having weight 39011344.
Pruned matrix : 387351 x 389581 with weight 27248773.
Total sieving time: 35.60 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 4.43 hours.
Total square root time: 0.07 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 40.32 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

17042987722111448842955391614860266963453207743477456801387216880523122192828388238421867929811195976610704666895602314168554390251074089<137>

4540862105110602564100033680942535811201803<43>
3753249345081429166561888673069600257378807334363856510196087848823616338912185173489836353563<94>

Number: n
N=17042987722111448842955391614860266963453207743477456801387216880523122192828388238421867929811195976610704666895602314168554390251074089
  ( 137 digits)
SNFS difficulty: 165 digits.
Divisors found:

Sat Feb 02 12:46:52 2008  prp43 factor: 4540862105110602564100033680942535811201803
Sat Feb 02 12:46:52 2008  prp94 factor: 3753249345081429166561888673069600257378807334363856510196087848823616338912185173489836353563
Sat Feb 02 12:46:52 2008  elapsed time 01:14:11 (Msieve 1.33)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 49.04 hours.
Scaled time: 64.34 units (timescale=1.312).
Factorization parameters were as follows:
name: KA_1_6_163_7
n: 17042987722111448842955391614860266963453207743477456801387216880523122192828388238421867929811195976610704666895602314168554390251074089
skew: 1.15
deg: 5
c5: 1
c0: 2
m: 1000000000000000000000000000000000
type: snfs
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2000000)
Primes: RFBsize:230209, AFBsize:230077, largePrimes:7364021 encountered
Relations: rels:6905403, finalFF:556912
Max relations in full relation-set: 28
Initial matrix: 460350 x 556912 with sparse part having weight 41875479.
Pruned matrix : 387141 x 389506 with weight 26752549.
Total sieving time: 48.78 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000
total time: 49.04 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

45522724906343286192598532980210324781874447309646171866952716995837515000348028814367639145587478869903469660672480559082664988666481<134>

120290653074033155377693119077932432451849157820371719000141<60>
378439419381373063595334977207576433701637494219631261758036807264278082741<75>

Number: 16667_166
N=45522724906343286192598532980210324781874447309646171866952716995837515000348028814367639145587478869903469660672480559082664988666481
  ( 134 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=120290653074033155377693119077932432451849157820371719000141
 r2=378439419381373063595334977207576433701637494219631261758036807264278082741
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.719).
Factorization parameters were as follows:
n: 45522724906343286192598532980210324781874447309646171866952716995837515000348028814367639145587478869903469660672480559082664988666481
Y1: 1
Y0: -1000000000000000000000000000000000
c5: 50
c0: 1
skew: 0.46
type: snfs
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 4000001)
Primes: rational ideals filtering, algebraic ideals filtering,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 714390 x 714638
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 1.90 hours.
Time per square root: 0.60 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.5,2.5,100000
total time: 24.00 hours.

Msieve-1.36

Opteron-2.6GHz; Linux x86_64

20116901891381507837234319717804499053797508687659321979554328458807812981683685075038823971668039121178785806261451309418531205960789<134>

6330148428935272130730269808330421<34>
3177951057107386168338512979344112428416946032503776796031417480994030657221820623388204144977247009<100>

Input number is 20116901891381507837234319717804499053797508687659321979554328458807812981683685075038823971668039121178785806261451309418531205960789 (134 digits)
Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=1742804942
Step 1 took 30328ms
Step 2 took 20688ms
********** Factor found in step 2: 6330148428935272130730269808330421
Found probable prime factor of 34 digits: 6330148428935272130730269808330421
Probable prime cofactor 3177951057107386168338512979344112428416946032503776796031417480994030657221820623388204144977247009 has 100 digits

GMP-ECM 6.1.2

Pentium 4 2.26GHz, Windows XP

2730203216850713723386143610470844312242118337160923647734964761691782670734573596376915525347616425570254677688234539868294943341606594555907<142>

720221664378281653603080022761581<33>

3790781854927277631648278252606516515296395111422830767220826618421065775857484773239829096077858370440473647<109>

Input number is 2730203216850713723386143610470844312242118337160923647734964761691782670734573596376915525347616425570254677688234539868294943341606594555907 (142 digits)
Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=1291031388
Step 1 took 30594ms
Step 2 took 22515ms
********** Factor found in step 2: 720221664378281653603080022761581
Found probable prime factor of 33 digits: 720221664378281653603080022761581
Composite cofactor 3790781854927277631648278252606516515296395111422830767220826618421065775857484773239829096077858370440473647 has 109 digits

GMP-ECM 6.1.2

Pentium 4 2.26GHz, Windows XP

3790781854927277631648278252606516515296395111422830767220826618421065775857484773239829096077858370440473647<109>

11187158312418767561564578896159263<35>
338851185355906112703584873042435753235342294622312755124422330024404931569<75>

Number: 5.172.+1
N=3790781854927277631648278252606516515296395111422830767220826618421065775857484773239829096077858370440473647
  ( 109 digits)
Divisors found:
 r1=11187158312418767561564578896159263 (pp35)
 r2=338851185355906112703584873042435753235342294622312755124422330024404931569 (pp75)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 25.37 hours.
Scaled time: 32.65 units (timescale=1.287).
Factorization parameters were as follows:
name: 5.172.+1
n: 3790781854927277631648278252606516515296395111422830767220826618421065775857484773239829096077858370440473647
skew: 32948.05
# norm 1.51e+15
c5: 17220
c4: 14458390
c3: -103341475597152
c2: 281584288696052283
c1: 39073308390551941890838
c0: -86019664049948734884907152
# alpha -6.16
Y1: 177045558749
Y0: -738820796836376918465
# Murphy_E 1.15e-09
# M 2907907167967925298903030487242863143011263020191204105775196844047268453970546110481020997988859280422515842
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2900001)
Primes: RFBsize:230209, AFBsize:229950, largePrimes:7404566 encountered
Relations: rels:7327936, finalFF:671556
Max relations in full relation-set: 32
Initial matrix: 460245 x 671556 with sparse part having weight 56363648.
Pruned matrix : 300813 x 303178 with weight 28748107.
Total sieving time: 21.88 hours.
Total relation processing time: 0.47 hours.
Matrix solve time: 2.60 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 25.37 hours.
 --------- CPU info (if available) ----------

CPU0: Intel(R) Pentium(R) 4 CPU 2.80GHz stepping 03
Memory: 997892k/1015744k available (2154k kernel code, 17196k reserved, 1127k data, 232k init, 98240k highmem)
Calibrating delay using timer specific routine.. 5629.20 BogoMIPS (lpj=2814603)
Total of 1 processors activated (5629.20 BogoMIPS).
x86info v1.20.  Dave Jones 2001-2006
Feedback to <davej@redhat.com>.

Found 1 CPU
--------------------------------------------------------------------------
Family: 15 Model: 3 Stepping: 3 Type: 0 Brand: 0
CPU Model: Pentium 4 (Prescott) [C0] Original OEM
Processor name string: Intel(R) Pentium(R) 4 CPU 2.80GHz

Feature flags:
 fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflsh ds acpi mmx fxsr sse sse2 ss ht tm pbe sse3 monitor ds-cpl cntx-id
Extended feature flags:

Cache info
 Instruction trace cache: 12K uOps, 8-way associative.
 L1 Data cache: 16KB, sectored, 8-way associative. 64 byte line size.
 L2 unified cache: 1MB, sectored, 8-way associative. 64 byte line size.
TLB info
 Instruction TLB: 4K, 2MB or 4MB pages, fully associative, 128 entries.
 Data TLB: 4KB or 4MB pages, fully associative, 64 entries.
The physical package supports 1 logical processors 

2.80GHz processor (estimate).

365502686810250742153205568214131942083906258794908401371658483061508985152549856393994352252483408005532248667559955233230919480489101075382005133119733563161422799619<168>

8500219598995303344027766550865967186625673657927778414937<58>
42999205203292853731733914136598157388065261036006538544990100819846053226208104949425880113589933879959187387<110>

Number: 16667_173
N=365502686810250742153205568214131942083906258794908401371658483061508985152549856393994352252483408005532248667559955233230919480489101075382005133119733563161422799619
  ( 168 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=8500219598995303344027766550865967186625673657927778414937
 r2=42999205203292853731733914136598157388065261036006538544990100819846053226208104949425880113589933879959187387
Version: 
Total time: 87.96 hours.
Scaled time: 173.45 units (timescale=1.972).
Factorization parameters were as follows:
name: 16667_173
n: 365502686810250742153205568214131942083906258794908401371658483061508985152549856393994352252483408005532248667559955233230919480489101075382005133119733563161422799619
m: 50000000000000000000000000000000000
deg: 5
c5: 8
c0: 5
skew: 0.91
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 5500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1014593 x 1014841
Total sieving time: 87.96 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 87.96 hours.
 --------- CPU info (if available) ----------

1666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<175>

38957826032363776525856717580374065723<38>
42781305745400219407473710733596304514150377883882257718360293742320702825809015275337663456972351386349942222557906259254671065933070929<137>

Number: 16667_174
N=1666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667
  ( 175 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=38957826032363776525856717580374065723 (pp38)
 r2=42781305745400219407473710733596304514150377883882257718360293742320702825809015275337663456972351386349942222557906259254671065933070929 (pp137)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 137.22 hours.
Scaled time: 127.48 units (timescale=0.929).
Factorization parameters were as follows:
n: 1666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667
m: 100000000000000000000000000000000000
c5: 1
c0: 2
skew: 1.15
type: snfs
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 49/49
Sieved algebraic special-q in [4500000, 6600001)
Primes: RFBsize:602489, AFBsize:602700, largePrimes:10034680 encountered
Relations: rels:10282311, finalFF:1497466
Max relations in full relation-set: 28
Initial matrix: 1205253 x 1497466 with sparse part having weight 66712191.
Pruned matrix : 923325 x 929415 with weight 36490841.
Total sieving time: 132.24 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 4.73 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,49,49,2.6,2.6,100000
total time: 137.22 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407676)
Calibrating delay using timer specific routine.. 4810.30 BogoMIPS (lpj=2405150)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133)
Calibrating delay using timer specific routine.. 4810.29 BogoMIPS (lpj=2405148)
Total of 4 processors activated (19246.21 BogoMIPS).

Core 2 Quad Q6600

20153164046755340588472390165255945183393792825473599355098750503829101168883514711809754131398629584844820636839983877468762595727529222087867795243853284965739621120515921<173>

74865668108657376632912517989779780300464176273350461362789666667834688689397123<80>
269190999771828025899329511919947740033568840333403347746509215638814772035381976837532003227<93>

Number: 16667_175
N=20153164046755340588472390165255945183393792825473599355098750503829101168883514711809754131398629584844820636839983877468762595727529222087867795243853284965739621120515921
  ( 173 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=74865668108657376632912517989779780300464176273350461362789666667834688689397123 (pp80)
 r2=269190999771828025899329511919947740033568840333403347746509215638814772035381976837532003227 (pp93)
Version: GGNFS-0.77.1
Total time: 127.09 hours.
Scaled time: 369.83 units (timescale=2.910).
Factorization parameters were as follows:
n: 20153164046755340588472390165255945183393792825473599355098750503829101168883514711809754131398629584844820636839983877468762595727529222087867795243853284965739621120515921
m: 100000000000000000000000000000000000
c5: 5
c0: 1
skew: 0.725
type: snfs
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [3700000, 9800001)
Relations: rels:6928497, finalFF:1184727
Initial matrix: 1003098 x 1184727 with sparse part having weight 67068111.
Pruned matrix : 926698 x 931777 with weight 43275106.
Total sieving time: 122.35 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 4.46 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 127.09 hours.
 --------- CPU info (if available) ----------

GGNFS-0.77.1

Core 2 Quad Q6700 (2.66GHz), Windows XP and Cygwin

3187069362752230007829671503283765834125192919414554576747596213057186826378012582873162984266259450610245379608514898716023<124>

2725754774355785969760441380232560871052705129783<49>
1169242880077307275718954778478639891947328564280437102540201756848172409281<76>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3476594416
Step 1 took 521560ms
Step 2 took 144786ms
********** Factor found in step 2: 2725754774355785969760441380232560871052705129783
Found probable prime factor of 49 digits: 2725754774355785969760441380232560871052705129783
Probable prime cofactor 1169242880077307275718954778478639891947328564280437102540201756848172409281 has 76 digits

84120840142112156160459692364622682411095549541785432669929173279798144770850219502231597393973475703825025357058343212455701873856035812987746872177649<152>

44928186376086850422105844151536019<35>
1872339992492679438794581670820130546867660492569256842639997168734029160890120241815698232929039287868814759633153771<118>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 84120840142112156160459692364622682411095549541785432669929173279798144770850219502231597393973475703825025357058343212455701873856035812987746872177649 (152 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=7299212132
Step 1 took 4742ms
Step 2 took 4664ms
********** Factor found in step 2: 44928186376086850422105844151536019
Found probable prime factor of 35 digits: 44928186376086850422105844151536019
Probable prime cofactor 1872339992492679438794581670820130546867660492569256842639997168734029160890120241815698232929039287868814759633153771 has 118 digits

Core 2 Quad Q6600

58594332032217359489903347327034543438717216464495670812064043810471281980246378899215450698248198739860314791573317714358270420761107331274167462147901<152>

3220880018492646919471597460249<31>
18192025687327268232347237399252291090017208324941923677752372262674478864504639217167680287671601149803384330379323729349<122>

Input number is 58594332032217359489903347327034543438717216464495670812064043810471281980246378899215450698248198739860314791573317714358270420761107331274167462147901 (152 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2950640744
Step 1 took 351439ms
Step 2 took 147108ms
********** Factor found in step 2: 3220880018492646919471597460249
Found probable prime factor of 31 digits: 3220880018492646919471597460249
Probable prime cofactor 18192025687327268232347237399252291090017208324941923677752372262674478864504639217167680287671601149803384330379323729349 has 122 digits

GMP-ECM 6.1

479124084513655515532723695848198158055369495702736085997023681187001171937510720401390993042160044692694603433786488892466348719924183404866559151222101802368981123469318331<174>

56945100399310037342624160677944917077499834609175255165571<59>
8413789442005456821614991149706287245459928630228872132857739495389538113846090243571030134274400462207636702323561<115>

Number: 16667_179
N=479124084513655515532723695848198158055369495702736085997023681187001171937510720401390993042160044692694603433786488892466348719924183404866559151222101802368981123469318331
  ( 174 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=56945100399310037342624160677944917077499834609175255165571 (pp59)
 r2=8413789442005456821614991149706287245459928630228872132857739495389538113846090243571030134274400462207636702323561 (pp115)
Version: Msieve-1.39
Total time: 94.34 hours.
Scaled time: 164.05 units (timescale=1.739).
Factorization parameters were as follows:
n: 479124084513655515532723695848198158055369495702736085997023681187001171937510720401390993042160044692694603433786488892466348719924183404866559151222101802368981123469318331
m: 1000000000000000000000000000000000000
deg: 5
c5: 1
c0: 2
skew: 1.15
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3500000, 5100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1232775 x 1233023
Total sieving time: 94.34 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
total time: 94.34 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

37071797368001549503171620608561182705133025727274244021115255791951236571832343831381230934493580400853454224741862998267283218945301990688412298937149<152>

44075944737808913853955975974403953263<38>
841089115355952508879029694013155562765861323072859513153209647483531670897264113755259533894066903253250566056723<114>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 37071797368001549503171620608561182705133025727274244021115255791951236571832343831381230934493580400853454224741862998267283218945301990688412298937149 (152 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=8371399727
Step 1 took 4665ms
Step 2 took 4773ms
********** Factor found in step 2: 44075944737808913853955975974403953263
Found probable prime factor of 38 digits: 44075944737808913853955975974403953263
Probable prime cofactor 841089115355952508879029694013155562765861323072859513153209647483531670897264113755259533894066903253250566056723 has 114 digits

Core 2 Quad Q6600

11155314911029094707792343768952829142203972056076349788915889504154153637641852152192385177264537778221019571454730996442188352203<131>

18041178939320340671069908987346459308697<41>
618325163147533482267971198200954906059845807104977100519107654516931740581366986358909699<90>

Input number is 11155314911029094707792343768952829142203972056076349788915889504154153637641852152192385177264537778221019571454730996442188352203 (131 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3752427966
Step 1 took 292975ms
Step 2 took 128939ms
********** Factor found in step 2: 18041178939320340671069908987346459308697
Found probable prime factor of 41 digits: 18041178939320340671069908987346459308697
Probable prime cofactor 618325163147533482267971198200954906059845807104977100519107654516931740581366986358909699 has 90 digits

GMP-ECM 6.1

21464942532712789967046860953905732113688103575855642078533739824617885432170779900897123619821511988955871162192755718935988539237657950042035889527386371673477190491256149<173>

404119394282233970503574607666808955676268514320663846069187<60>
53115348672728718920282412902621512820204363175159991820597797372491152912160398959871056509195156906276315736327<113>

Number: 16667_182
N=21464942532712789967046860953905732113688103575855642078533739824617885432170779900897123619821511988955871162192755718935988539237657950042035889527386371673477190491256149
  ( 173 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=404119394282233970503574607666808955676268514320663846069187
 r2=53115348672728718920282412902621512820204363175159991820597797372491152912160398959871056509195156906276315736327
Version: 
Total time: 88.24 hours.
Scaled time: 210.88 units (timescale=2.390).
Factorization parameters were as follows:
n: 21464942532712789967046860953905732113688103575855642078533739824617885432170779900897123619821511988955871162192755718935988539237657950042035889527386371673477190491256149
m: 5000000000000000000000000000000000000
deg: 5
c5: 4
c0: 25
skew: 1.44
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3300000, 5700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17974401
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1359474 x 1359722
Total sieving time: 81.16 hours.
Total relation processing time: 2.25 hours.
Matrix solve time: 4.49 hours.
Time per square root: 0.34 hours.
Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 88.24 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672307)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

318393726573783575175656226982123529506533662144902640611107088737032062311944725320776903617188345235846013841084724124890066606057236876081225296228747298349631589802918740763<177>

54006465837377625552336265338881733819761<41>
5895474211042055406296762574818982802357058721360340818720086118739001638924818762801489852596577981672047174850728107083024670512804683<136>

GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 318393726573783575175656226982123529506533662144902640611107088737032062311944725320776903617188345235846013841084724124890066606057236876081225296228747298349631589802918740763 (177 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=7499907357
Step 1 took 17155ms
Step 2 took 7042ms
********** Factor found in step 2: 54006465837377625552336265338881733819761
Found probable prime factor of 41 digits: 54006465837377625552336265338881733819761
Probable prime cofactor 5895474211042055406296762574818982802357058721360340818720086118739001638924818762801489852596577981672047174850728107083024670512804683 has 136 digits

Core 2 Quad Q6700

37752538420426730353013726919101946495182605494565204069301466012242640645018256590170744393249454374498071184500225276512486394242670676202699669483096059890131548785727<170>

2807399202518527814628463571806496953001<40>

13447513409050908682573458648523764418473862031020518471328356268352372416765725844067113777872896048108156781413061310462101954727<131>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 37752538420426730353013726919101946495182605494565204069301466012242640645018256590170744393249454374498071184500225276512486394242670676202699669483096059890131548785727 (170 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=8330428008
Step 1 took 5523ms
Step 2 took 5085ms
********** Factor found in step 2: 2807399202518527814628463571806496953001
Found probable prime factor of 40 digits: 2807399202518527814628463571806496953001
Composite cofactor 13447513409050908682573458648523764418473862031020518471328356268352372416765725844067113777872896048108156781413061310462101954727 has 131 digits

Core 2 Quad Q6600

13447513409050908682573458648523764418473862031020518471328356268352372416765725844067113777872896048108156781413061310462101954727<131>

253261860502301377341584355527734691557581706717901<51>
53097270083936352620699091307651242199287694150763135093589076063605301086511427<80>

Number: 16667_184
N=13447513409050908682573458648523764418473862031020518471328356268352372416765725844067113777872896048108156781413061310462101954727
  ( 131 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=253261860502301377341584355527734691557581706717901
 r2=53097270083936352620699091307651242199287694150763135093589076063605301086511427
Version: 
Total time: 86.35 hours.
Scaled time: 206.47 units (timescale=2.391).
Factorization parameters were as follows:
n: 13447513409050908682573458648523764418473862031020518471328356268352372416765725844067113777872896048108156781413061310462101954727
m: 10000000000000000000000000000000000000
deg: 5
c5: 1
c0: 2
skew: 1.15
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3400000, 5700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19665629
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1401670 x 1401918
Total sieving time: 78.78 hours.
Total relation processing time: 2.40 hours.
Matrix solve time: 4.85 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,54,54,2.5,2.5,100000
total time: 86.35 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672307)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

37993691175094818508838544632767141972697925656732630298997960570693061500806478207498947605843609564819020360713934068499687468469243458939197037793<149>

3601575836633614096272912752639225340407701673490265515690619<61>
10549185383975545404940755306551985082321263032251719245930744167078421678197048440747347<89>

Number: 16667_187
N=37993691175094818508838544632767141972697925656732630298997960570693061500806478207498947605843609564819020360713934068499687468469243458939197037793
  ( 149 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=3601575836633614096272912752639225340407701673490265515690619
 r2=10549185383975545404940755306551985082321263032251719245930744167078421678197048440747347
Version: 
Total time: 127.48 hours.
Scaled time: 304.68 units (timescale=2.390).
Factorization parameters were as follows:
n: 37993691175094818508838544632767141972697925656732630298997960570693061500806478207498947605843609564819020360713934068499687468469243458939197037793
m: 50000000000000000000000000000000000000
deg: 5
c5: 4
c0: 25
skew: 1.44
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 7500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20252033
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1682284 x 1682532
Total sieving time: 115.89 hours.
Total relation processing time: 3.57 hours.
Matrix solve time: 7.14 hours.
Time per square root: 0.88 hours.
Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 127.48 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672307)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

6006222446454526889857892776916885893785962256898146479753024133001789854289043449013177652047521231996348216752555647650966401191634533376578134947805926940310161327134911768592261583<184>

755690361809164985290505633810819050583<39>

7947993980067834235465756271687538769230388089784361354522292128822489146923171127507833276229709407451844578838435579896131515961401437185117001<145>

Input number is 6006222446454526889857892776916885893785962256898146479753024133001789854289043449013177652047521231996348216752555647650966401191634533376578134947805926940310161327134911768592261583 (184 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2432085713
Step 1 took 499770ms
Step 2 took 196447ms
********** Factor found in step 2: 755690361809164985290505633810819050583
Found probable prime factor of 39 digits: 755690361809164985290505633810819050583
Composite cofactor 7947993980067834235465756271687538769230388089784361354522292128822489146923171127507833276229709407451844578838435579896131515961401437185117001 has 145 digits

GMP-ECM 6.1

7947993980067834235465756271687538769230388089784361354522292128822489146923171127507833276229709407451844578838435579896131515961401437185117001<145>

3457298871893073296199580250402875297400903<43>
2298902777738692511813304303537302815889902167624662510220315137201434791822241725380651444888122435567<103>

GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 7947993980067834235465756271687538769230388089784361354522292128822489146923171127507833276229709407451844578838435579896131515961401437185117001 (145 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4958000274
Step 1 took 12032ms
Step 2 took 5654ms
********** Factor found in step 2: 3457298871893073296199580250402875297400903
Found probable prime factor of 43 digits: 3457298871893073296199580250402875297400903
Probable prime cofactor 2298902777738692511813304303537302815889902167624662510220315137201434791822241725380651444888122435567 has 103 digits

Core 2 Quad Q6700

18726591760299625468164794007490636704119850187265917602996254681647940074906367041198501872659176029962546816479400749063670411985018726591760299625468164794007490636704119850187265917603<188>

155220716217629705641047956974028903638974953850976713020609050449043<69>
120644925604155219989104828180435891279930064771908342549722918494534590742040930991869791304135720103379793852604543921<120>

Number: 16667_189
N=18726591760299625468164794007490636704119850187265917602996254681647940074906367041198501872659176029962546816479400749063670411985018726591760299625468164794007490636704119850187265917603
  ( 188 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=155220716217629705641047956974028903638974953850976713020609050449043 (pp69)
 r2=120644925604155219989104828180435891279930064771908342549722918494534590742040930991869791304135720103379793852604543921 (pp120)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 878.82 hours.
Scaled time: 1761.16 units (timescale=2.004).
Factorization parameters were as follows:
n: 18726591760299625468164794007490636704119850187265917602996254681647940074906367041198501872659176029962546816479400749063670411985018726591760299625468164794007490636704119850187265917603
m: 100000000000000000000000000000000000000
c5: 1
c0: 2
skew: 1.15
type: snfsFactor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 15700001)
Primes: RFBsize:501962, AFBsize:501936, largePrimes:6977777 encountered
Relations: rels:7567375, finalFF:1214697
Max relations in full relation-set: 32
Initial matrix: 1003962 x 1214697 with sparse part having weight 117983597.
Pruned matrix : 840086 x 845169 with weight 98678495.
Total sieving time: 869.86 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 8.60 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 878.82 hours.
 --------- CPU info (if available) ----------

1467961773753687119671434462042155013296493985094568647077300042039115882327078951830894306963374655729552589777695454550257048400791119145085052596871885740259957614289249<172>

203023078893740575036865703488008616883278038041378592686129018346139012527<75>
7230516755792072645732101394008354341863174508368520260889896033166775080544890911968655692322287<97>

Number: 16667_190
N=1467961773753687119671434462042155013296493985094568647077300042039115882327078951830894306963374655729552589777695454550257048400791119145085052596871885740259957614289249
  ( 172 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=203023078893740575036865703488008616883278038041378592686129018346139012527
 r2=7230516755792072645732101394008354341863174508368520260889896033166775080544890911968655692322287
Version: 
Total time: 126.48 hours.
Scaled time: 302.05 units (timescale=2.388).
Factorization parameters were as follows:
n: 1467961773753687119671434462042155013296493985094568647077300042039115882327078951830894306963374655729552589777695454550257048400791119145085052596871885740259957614289249
m: 100000000000000000000000000000000000000
deg: 5
c5: 5
c0: 1
skew: 0.72
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5000000, 8200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20263891
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1762913 x 1763161
Total sieving time: 115.53 hours.
Total relation processing time: 3.45 hours.
Matrix solve time: 7.16 hours.
Time per square root: 0.35 hours.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,54,54,2.5,2.5,100000
total time: 126.48 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672307)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

9400848042981278906785157963671776460017036968891334112137188606074403087042959675757982386984743984167016519226586214961182676320284711827626200697463957665649852140641725577550970411<184>

412132495245647695670962548555951625265056099<45>
143499046190494664640416725710406559792122698773991877585525813079011<69>
158957549776355065357501609320739892547713860389692076615322290524476499<72>

Number: 16667_191
N=9400848042981278906785157963671776460017036968891334112137188606074403087042959675757982386984743984167016519226586214961182676320284711827626200697463957665649852140641725577550970411
  ( 184 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=412132495245647695670962548555951625265056099
 r2=143499046190494664640416725710406559792122698773991877585525813079011
 r3=158957549776355065357501609320739892547713860389692076615322290524476499
Version: 
Total time: 156.01 hours.
Scaled time: 370.83 units (timescale=2.377).
Factorization parameters were as follows:
n: 9400848042981278906785157963671776460017036968891334112137188606074403087042959675757982386984743984167016519226586214961182676320284711827626200697463957665649852140641725577550970411
m: 100000000000000000000000000000000000000
deg: 5
c5: 50
c0: 1
skew: 0.46
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5500000, 9400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20706742
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1919145 x 1919393
Total sieving time: 141.42 hours.
Total relation processing time: 4.31 hours.
Matrix solve time: 9.42 hours.
Time per square root: 0.85 hours.
Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,54,54,2.5,2.5,100000
total time: 156.01 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046640k/8912896k available (2550k kernel code, 339524k reserved, 1291k data, 208k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.56 BogoMIPS (lpj=2672784)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672377)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.70 BogoMIPS (lpj=2672353)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

735027124849590573822810293576026283153875482406699907444481384613964737252729128180082919372516403930662783084617759580423568060159476557076742737993343397073141689633952253643801469<183>

2523468434746913387365728977677257224554268399940654707587922199600991663<73>
291276528261114850719456835150107978434315319159052775474273217508393817718092352786881159500683129489189410963<111>

Number: 16667_194
N=735027124849590573822810293576026283153875482406699907444481384613964737252729128180082919372516403930662783084617759580423568060159476557076742737993343397073141689633952253643801469
  ( 183 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=2523468434746913387365728977677257224554268399940654707587922199600991663
 r2=291276528261114850719456835150107978434315319159052775474273217508393817718092352786881159500683129489189410963
Version: 
Total time: 193.47 hours.
Scaled time: 459.69 units (timescale=2.376).
Factorization parameters were as follows:
n: 735027124849590573822810293576026283153875482406699907444481384613964737252729128180082919372516403930662783084617759580423568060159476557076742737993343397073141689633952253643801469
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1
c0: 2
skew: 1.15
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6000000, 10700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 22654728
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2040516 x 2040764
Total sieving time: 176.66 hours.
Total relation processing time: 5.78 hours.
Matrix solve time: 10.40 hours.
Time per square root: 0.64 hours.
Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 193.47 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046640k/8912896k available (2550k kernel code, 339524k reserved, 1291k data, 208k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.56 BogoMIPS (lpj=2672784)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672377)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.70 BogoMIPS (lpj=2672353)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

3498098668145674700741078657698910519796229597653518464813582067465023945192762217602780076528628174670605597056628145808871916441211100070473159357294753509496072290921724017417<178>

3724929267509920843996372775497<31>

939104723049981509289811750930030691770734096377436694089298811115147192934297884941625038686793082121971137561628863866898691665347893823937479361<147>

Input number is 3498098668145674700741078657698910519796229597653518464813582067465023945192762217602780076528628174670605597056628145808871916441211100070473159357294753509496072290921724017417 (178 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1764589586
Step 1 took 461757ms
Step 2 took 183191ms
********** Factor found in step 2: 3724929267509920843996372775497
Found probable prime factor of 31 digits: 3724929267509920843996372775497
Composite cofactor 939104723049981509289811750930030691770734096377436694089298811115147192934297884941625038686793082121971137561628863866898691665347893823937479361 has 147 digits

GMP-ECM 6.1

939104723049981509289811750930030691770734096377436694089298811115147192934297884941625038686793082121971137561628863866898691665347893823937479361<147>

4165800965005235814760754107643841829553<40>
225431971171671469726015875312550232768705870586001468772728174911639271142852844564263297791187529959640337<108>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 939104723049981509289811750930030691770734096377436694089298811115147192934297884941625038686793082121971137561628863866898691665347893823937479361 (147 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4906593635
Step 1 took 4696ms
Step 2 took 4555ms
********** Factor found in step 2: 4165800965005235814760754107643841829553
Found probable prime factor of 40 digits: 4165800965005235814760754107643841829553
Probable prime cofactor 225431971171671469726015875312550232768705870586001468772728174911639271142852844564263297791187529959640337 has 108 digits

Core 2 Quad Q6600

150106919510504651097860412500492912879247870643157689554453406459435893255524252292566452155481186213091751759758160574956380625712997065896448548384002909<156>

6584186081134550865669982444486228012824518331065951344120343<61>
22798097997351716596584391992259877381916949758759323705638007516270293200426897741851225109163<95>

Number: 16667_198
N=150106919510504651097860412500492912879247870643157689554453406459435893255524252292566452155481186213091751759758160574956380625712997065896448548384002909
  ( 156 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=6584186081134550865669982444486228012824518331065951344120343
 r2=22798097997351716596584391992259877381916949758759323705638007516270293200426897741851225109163
Version: 
Total time: 277.96 hours.
Scaled time: 662.66 units (timescale=2.384).
Factorization parameters were as follows:
n: 150106919510504651097860412500492912879247870643157689554453406459435893255524252292566452155481186213091751759758160574956380625712997065896448548384002909
m: 10000000000000000000000000000000000000000
deg: 5
c5: 1
c0: 20
skew: 1.82
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7500000, 13600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 36803753
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2884526 x 2884773
Total sieving time: 241.06 hours.
Total relation processing time: 11.77 hours.
Matrix solve time: 24.33 hours.
Time per square root: 0.80 hours.
Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,56,56,2.6,2.6,100000
total time: 277.96 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046640k/8912896k available (2550k kernel code, 339524k reserved, 1291k data, 208k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.56 BogoMIPS (lpj=2672784)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672377)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.70 BogoMIPS (lpj=2672353)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

4167269711582151071361671772461614458693892736018243936693891564022154386621751540093762272405067201589475368905965473724679289304655439117038534671879185863344270956451514964806243<181>

731496300252232795163033668865246864733293120226838082884304791716996503925369057277171<87>
5696911536183030797002929329947149281652141141209718939673058399392407278482377899786004967633<94>

polynomial = 50 X^5 + 1 ; m = 10^40
rlim = alim = 15000000
lpbr = lpba = 28
mfbr = mfba = 49
rlambda = alambda = 2.6
skew = 0.7
qintsize = 100000

Initial matrix: 1941024 x 2448763
Pruned  matrix: 1482573 x 1492342

time: 46 days 2 hours or so

p87 = 731496300252232795163033668865246864733293120226838082884304791716996503925369057277171
p94 = 5696911536183030797002929329947149281652141141209718939673058399392407278482377899786004967633

GGNFS-0.77.1

Windows 7, Intel Core I5 3.2 GHz

16167634701401461999945553795944997386900709133537544632197227087308690583801213353044804063466763656608050987694841160817211529442710808362144115542630451046485081042176639183938164162963<188>

2865652332067543629476339019665657390964243486185306499347<58>
3281562850609085283951235360905322792250315363391088626767<58>
1719262782012123350898627768193065595405498626944784310645416428635127087<73>

N=16167634701401461999945553795944997386900709133537544632197227087308690583801213353044804063466763656608050987694841160817211529442710808362144115542630451046485081042176639183938164162963
  ( 188 digits)
SNFS difficulty: 202 digits.
Divisors found:
 r1=2865652332067543629476339019665657390964243486185306499347 (pp58)
 r2=3281562850609085283951235360905322792250315363391088626767 (pp58)
 r3=1719262782012123350898627768193065595405498626944784310645416428635127087 (pp73)
Version: Msieve v. 1.50
Total time:
Scaled time: 223.53 units (timescale=1.735).
Factorization parameters were as follows:
n: 16167634701401461999945553795944997386900709133537544632197227087308690583801213353044804063466763656608050987694841160817211529442710808362144115542630451046485081042176639183938164162963
m: 10000000000000000000000000000000000000000
deg: 5
c5: 500
c0: 1
skew: 0.29
type: snfs
lss: 1
rlim: 16700000
alim: 16700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 16700000/16700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8350000, 16990001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3471652 x 3471874
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,202.000,5,0,0,0,0,0,0,0,0,16700000,16700000,29,29,56,56,2.6,2.6,100000
total time:
 --------- CPU info (if available) ----------

38543354685003481280703901481734113908769905575788881817208208545327181653271338700141797282069918492762867496085767231528588225087822002451691123090560531623339152655585316873985829243<185>

41354532740689847089986658834489480136844470037519133643209<59>
932022492593166905079300214207040394907205131935279221997558116435409606089496707429368050269650849600268471088794222402331427<126>

Number: 16667_204
N=38543354685003481280703901481734113908769905575788881817208208545327181653271338700141797282069918492762867496085767231528588225087822002451691123090560531623339152655585316873985829243
  ( 185 digits)
SNFS difficulty: 205 digits.
Divisors found:
 r1=41354532740689847089986658834489480136844470037519133643209 (prp59)
 r2=932022492593166905079300214207040394907205131935279221997558116435409606089496707429368050269650849600268471088794222402331427 (prp126)
Msieve version: Msieve v. 1.49 (SVN unknown)
GGNFS version: GGNFS-0.77.1-VC8(UTE)
Total time: 670.56 hours.
Scaled time: 3027.56 units (timescale=4.515).
Factorization parameters were as follows:
name: 16667_204
n: 38543354685003481280703901481734113908769905575788881817208208545327181653271338700141797282069918492762867496085767231528588225087822002451691123090560531623339152655585316873985829243
m: 100000000000000000000000000000000000000000
deg: 5
c5: 1
c0: 2
skew: 1.149
# Murphy_E = 1.415e-11
type: snfs
lss: 1
rlim: 18100000
alim: 18100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
relslim: 50000000
qintsize: 5000
Factor base limits: 18100000/18100000
Large primes per side: 3
Large prime bits: 29/29
Sieved special-q in [9050000, 19540001)
Relations: raw-rels:43985670 rels:40011325, finalFF:2593920
Pruned matrix : 2540644 x 2540869
Total sieving time: 655.88 hours.
Total relation processing time: 2.51 hours.
Total matrix build processing time: 7.44 hours.
Matrix pruned processing time: 0.00 hours.
Matrix solve time: 4.40 hours.
Total time of square root: 0.33 hours.
Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18100000,18100000,29,29,56,56,2.6,2.6,100000
total time: 670.56 hours.
 --------- CPU info (if available) ----------

Msieve v. 1.49 (SVN unknown) + GGNFS-0.77.1-VC8 with 
factMsieve.pl (decomposed + modified) snfs

Core i7 2600 - Windows7 64bit (7 threads used) and 
Core 2 Quad Q6600 - Windows Vista 32bit (4 threads used)

5458454172581961025212255002739648007643349077443343591413476923121248810159247522837012525122152986195615480594475869903643522953276184189985167008508813991918314829<166>

4000240655626772211089513314708354781787381012058024566349<58>
1364531447602796945399545112764925077454107312655552979253523681092937762525077040300357181365502842809803521<109>

Polynomial: 5 X^6 + 1 ; m = 10^35
rlim = alim = 25000000
lpbr = lpba = 29
mfbr = mfba = 51
rlambda = alambda = 2.7
skew = 1.5
qintsize = 100000

Matrix : 2794419 x 2794596

time: 97 days or so

p58 = 4000240655626772211089513314708354781787381012058024566349
p109 = 1364531447602796945399545112764925077454107312655552979253523681092937762525077040300357181365502842809803521

GGNFS-0.77.1 (relations) and msieve 1.52 (matrix)

Windows 7 (AMD Athlon 2,7 GHz for relations) and Windows 10  (Intel Core I5 3.2 GHz for matrix step)

383785816811353919604547094357580921239474673973948618754845295937243343235007407066264459130648367758921101311779921861207697208341968514211588796524435642956378904061221513497747177255317352491921308556121<207>

4005744782968694188823292639796290748843176698446720775544873677542606739851<76>
95808853934754857669844031580201212216584381085989312190490723153270367734013942231514481978200239833224287091492924975424714281771<131>

Number: n
N=383785816811353919604547094357580921239474673973948618754845295937243343235007407066264459130648367758921101311779921861207697208341968514211588796524435642956378904061221513497747177255317352491921308556121
  ( 207 digits)
SNFS difficulty: 211 digits.
Divisors found:

Sun Jun 20 12:25:07 2010  prp76 factor: 4005744782968694188823292639796290748843176698446720775544873677542606739851
Sun Jun 20 12:25:07 2010  prp131 factor: 95808853934754857669844031580201212216584381085989312190490723153270367734013942231514481978200239833224287091492924975424714281771
Sun Jun 20 12:25:07 2010  elapsed time 42:36:50 (Msieve 1.42 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.026).
Factorization parameters were as follows:
name: KA_1_6_210_7
n: 383785816811353919604547094357580921239474673973948618754845295937243343235007407066264459130648367758921101311779921861207697208341968514211588796524435642956378904061221513497747177255317352491921308556121
m: 100000000000000000000000000000000000
deg: 6
c6: 50
c0: 1
skew: 0.52
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 24000000/24000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 52800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8286120 hash collisions in 56732849 relations
Msieve: matrix is 3464320 x 3464545 (988.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,211,6,0,0,0,0,0,0,0,0,24000000,24000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 4012828k/4980736k available (3972k kernel code, 787908k absent, 180000k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.52 BogoMIPS (lpj=2400261)
Calibrating delay using timer specific routine.. 4799.85 BogoMIPS (lpj=2399925)
Calibrating delay using timer specific routine.. 4799.90 BogoMIPS (lpj=2399950)
Calibrating delay using timer specific routine.. 4799.90 BogoMIPS (lpj=2399953)
Total of 4 processors activated (19200.17 BogoMIPS).

2055504732911119995379029621637168937437862115573555210512622460161673913711807601374515134119483794579916321150001867179753733275400681824820381156486730207357858592270106219945823237910949141227<196>

486125019275866375379290833698915211288203<42>

4228345901581053037017181190286421890836287767797065567874310981279552356464013734889428637196477957133033369827152265109851302007457197501788792085995809<154>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2370355977
Step 1 took 398415ms
Step 2 took 97809ms
********** Factor found in step 2: 486125019275866375379290833698915211288203
Found probable prime factor of 42 digits: 486125019275866375379290833698915211288203

4228345901581053037017181190286421890836287767797065567874310981279552356464013734889428637196477957133033369827152265109851302007457197501788792085995809<154>

257346194961707626719059872394809891045053932058983469223<57>
16430574783552633213983912459892318643069496394034829009880254085379759851175833943054959981736183<98>

Polynomial: 4 X^6 + 125 ; m = 5*10^35 ; skew = 4.3
rlim = alim = 28000000
lpbr = lpba = 30
mfbr = mfba = 51
rlambda = alambda = 2.7
qintsize = 100000

Matrix: 3350594 x 3350771

time: 151 days  or so

p57 = 257346194961707626719059872394809891045053932058983469223
p98 = 16430574783552633213983912459892318643069496394034829009880254085379759851175833943054959981736183

GGNFS-0.77.1 (relations) and MSieve 1.52 (matrix)

Windows 7 (AMD Athlon 2,7 GHz for relations) and Windows 10 (Intel Core I5 3.5 GHz for matrix step)

338073929710796394528897937793722137649760657079299765671290403057290175137312834150285941814105423544864439930422735464741113319547503380115550707647525941073561241991959153642762380686348645240499779261051<207>

73858541081957156857463525822457744288969995861184660403<56>
4577316648262149343039388811731986548136159619503311320534075084015509604552492194822480051326475687187725367522477258450968855643952307872691706491417<151>

<sieving by the RSALS grid>

<post-processing by Carlos Pinho>
Tue Mar 08 08:23:02 2011  
Tue Mar 08 08:23:02 2011  
Tue Mar 08 08:23:02 2011  Msieve v. 1.48
Tue Mar 08 08:23:02 2011  random seeds: 8e01b710 0fe77270
Tue Mar 08 08:23:02 2011  factoring 338073929710796394528897937793722137649760657079299765671290403057290175137312834150285941814105423544864439930422735464741113319547503380115550707647525941073561241991959153642762380686348645240499779261051 (207 digits)
Tue Mar 08 08:23:03 2011  searching for 15-digit factors
Tue Mar 08 08:23:04 2011  commencing number field sieve (207-digit input)
Tue Mar 08 08:23:04 2011  R0: -500000000000000000000000000000000000
Tue Mar 08 08:23:04 2011  R1:  1
Tue Mar 08 08:23:04 2011  A0:  1
Tue Mar 08 08:23:04 2011  A1:  0
Tue Mar 08 08:23:04 2011  A2:  0
Tue Mar 08 08:23:04 2011  A3:  0
Tue Mar 08 08:23:04 2011  A4:  0
Tue Mar 08 08:23:04 2011  A5:  0
Tue Mar 08 08:23:04 2011  A6:  32
Tue Mar 08 08:23:04 2011  skew 0.56, size 1.257e-010, alpha 0.964, combined = 3.951e-012 rroots = 0
Tue Mar 08 08:23:04 2011  
Tue Mar 08 08:23:04 2011  commencing relation filtering
Tue Mar 08 08:23:04 2011  estimated available RAM is 8183.1 MB
Tue Mar 08 08:23:04 2011  commencing duplicate removal, pass 1
Tue Mar 08 08:23:36 2011  error -9 reading relation 6638313
Tue Mar 08 08:23:48 2011  error -15 reading relation 9858637
Tue Mar 08 08:24:21 2011  error -9 reading relation 18742632
Tue Mar 08 08:25:36 2011  error -5 reading relation 39459004
Tue Mar 08 08:25:50 2011  error -15 reading relation 43562289
Tue Mar 08 08:25:50 2011  error -9 reading relation 43578686
Tue Mar 08 08:26:01 2011  error -15 reading relation 46544157
Tue Mar 08 08:26:01 2011  error -15 reading relation 46765439
Tue Mar 08 08:26:02 2011  error -15 reading relation 46881919
Tue Mar 08 08:26:02 2011  error -15 reading relation 46903636
Tue Mar 08 08:26:03 2011  error -9 reading relation 47120415
Tue Mar 08 08:26:03 2011  error -9 reading relation 47202154
Tue Mar 08 08:26:11 2011  error -15 reading relation 49512626
Tue Mar 08 08:26:12 2011  error -1 reading relation 49648669
Tue Mar 08 08:26:12 2011  skipped 1 relations with b > 2^32
Tue Mar 08 08:26:12 2011  found 7808933 hash collisions in 49804722 relations
Tue Mar 08 08:26:40 2011  added 1218577 free relations
Tue Mar 08 08:26:40 2011  commencing duplicate removal, pass 2
Tue Mar 08 08:27:02 2011  found 7078883 duplicates and 43944416 unique relations
Tue Mar 08 08:27:02 2011  memory use: 213.2 MB
Tue Mar 08 08:27:02 2011  reading ideals above 35979264
Tue Mar 08 08:27:02 2011  commencing singleton removal, initial pass
Tue Mar 08 08:30:45 2011  memory use: 1378.0 MB
Tue Mar 08 08:30:45 2011  reading all ideals from disk
Tue Mar 08 08:30:46 2011  memory use: 769.9 MB
Tue Mar 08 08:30:47 2011  commencing in-memory singleton removal
Tue Mar 08 08:30:49 2011  begin with 43944416 relations and 41154645 unique ideals
Tue Mar 08 08:31:07 2011  reduce to 22642440 relations and 16941517 ideals in 18 passes
Tue Mar 08 08:31:07 2011  max relations containing the same ideal: 33
Tue Mar 08 08:31:09 2011  reading ideals above 720000
Tue Mar 08 08:31:09 2011  commencing singleton removal, initial pass
Tue Mar 08 08:33:53 2011  memory use: 689.0 MB
Tue Mar 08 08:33:53 2011  reading all ideals from disk
Tue Mar 08 08:33:53 2011  memory use: 805.2 MB
Tue Mar 08 08:33:55 2011  keeping 21224251 ideals with weight <= 200, target excess is 122395
Tue Mar 08 08:33:57 2011  commencing in-memory singleton removal
Tue Mar 08 08:33:59 2011  begin with 22642498 relations and 21224251 unique ideals
Tue Mar 08 08:34:21 2011  reduce to 22629612 relations and 21211110 ideals in 11 passes
Tue Mar 08 08:34:21 2011  max relations containing the same ideal: 200
Tue Mar 08 08:34:31 2011  removing 3127272 relations and 2727272 ideals in 400000 cliques
Tue Mar 08 08:34:31 2011  commencing in-memory singleton removal
Tue Mar 08 08:34:33 2011  begin with 19502340 relations and 21211110 unique ideals
Tue Mar 08 08:34:50 2011  reduce to 19150985 relations and 18123822 ideals in 10 passes
Tue Mar 08 08:34:50 2011  max relations containing the same ideal: 185
Tue Mar 08 08:34:58 2011  removing 2322812 relations and 1922812 ideals in 400000 cliques
Tue Mar 08 08:34:59 2011  commencing in-memory singleton removal
Tue Mar 08 08:35:00 2011  begin with 16828173 relations and 18123822 unique ideals
Tue Mar 08 08:35:11 2011  reduce to 16605462 relations and 15973423 ideals in 8 passes
Tue Mar 08 08:35:11 2011  max relations containing the same ideal: 168
Tue Mar 08 08:35:18 2011  removing 2069847 relations and 1669847 ideals in 400000 cliques
Tue Mar 08 08:35:19 2011  commencing in-memory singleton removal
Tue Mar 08 08:35:20 2011  begin with 14535615 relations and 15973423 unique ideals
Tue Mar 08 08:35:31 2011  reduce to 14327640 relations and 14090699 ideals in 9 passes
Tue Mar 08 08:35:31 2011  max relations containing the same ideal: 151
Tue Mar 08 08:35:38 2011  removing 635701 relations and 540739 ideals in 94962 cliques
Tue Mar 08 08:35:38 2011  commencing in-memory singleton removal
Tue Mar 08 08:35:39 2011  begin with 13691939 relations and 14090699 unique ideals
Tue Mar 08 08:35:47 2011  reduce to 13670944 relations and 13528814 ideals in 7 passes
Tue Mar 08 08:35:47 2011  max relations containing the same ideal: 147
Tue Mar 08 08:35:56 2011  relations with 0 large ideals: 4805
Tue Mar 08 08:35:56 2011  relations with 1 large ideals: 199
Tue Mar 08 08:35:56 2011  relations with 2 large ideals: 4814
Tue Mar 08 08:35:56 2011  relations with 3 large ideals: 53254
Tue Mar 08 08:35:56 2011  relations with 4 large ideals: 319580
Tue Mar 08 08:35:56 2011  relations with 5 large ideals: 1156558
Tue Mar 08 08:35:56 2011  relations with 6 large ideals: 2610818
Tue Mar 08 08:35:56 2011  relations with 7+ large ideals: 9520916
Tue Mar 08 08:35:56 2011  commencing 2-way merge
Tue Mar 08 08:36:04 2011  reduce to 8588578 relation sets and 8446448 unique ideals
Tue Mar 08 08:36:04 2011  commencing full merge
Tue Mar 08 08:38:34 2011  memory use: 1094.4 MB
Tue Mar 08 08:38:35 2011  found 4263196 cycles, need 4248648
Tue Mar 08 08:38:35 2011  weight of 4248648 cycles is about 340060955 (80.04/cycle)
Tue Mar 08 08:38:35 2011  distribution of cycle lengths:
Tue Mar 08 08:38:35 2011  1 relations: 488039
Tue Mar 08 08:38:35 2011  2 relations: 466950
Tue Mar 08 08:38:35 2011  3 relations: 450475
Tue Mar 08 08:38:35 2011  4 relations: 411561
Tue Mar 08 08:38:35 2011  5 relations: 375237
Tue Mar 08 08:38:35 2011  6 relations: 334153
Tue Mar 08 08:38:35 2011  7 relations: 291316
Tue Mar 08 08:38:35 2011  8 relations: 256793
Tue Mar 08 08:38:35 2011  9 relations: 221884
Tue Mar 08 08:38:35 2011  10+ relations: 952240
Tue Mar 08 08:38:35 2011  heaviest cycle: 28 relations
Tue Mar 08 08:38:36 2011  commencing cycle optimization
Tue Mar 08 08:38:41 2011  start with 27090194 relations
Tue Mar 08 08:39:27 2011  pruned 739288 relations
Tue Mar 08 08:39:27 2011  memory use: 840.4 MB
Tue Mar 08 08:39:27 2011  distribution of cycle lengths:
Tue Mar 08 08:39:27 2011  1 relations: 488039
Tue Mar 08 08:39:27 2011  2 relations: 476911
Tue Mar 08 08:39:27 2011  3 relations: 466503
Tue Mar 08 08:39:27 2011  4 relations: 422361
Tue Mar 08 08:39:27 2011  5 relations: 385185
Tue Mar 08 08:39:27 2011  6 relations: 339281
Tue Mar 08 08:39:27 2011  7 relations: 296306
Tue Mar 08 08:39:27 2011  8 relations: 258538
Tue Mar 08 08:39:27 2011  9 relations: 222113
Tue Mar 08 08:39:27 2011  10+ relations: 893411
Tue Mar 08 08:39:27 2011  heaviest cycle: 28 relations
Tue Mar 08 08:39:31 2011  RelProcTime: 987
Tue Mar 08 08:39:31 2011  
Tue Mar 08 08:39:31 2011  commencing linear algebra
Tue Mar 08 08:39:32 2011  read 4248648 cycles
Tue Mar 08 08:39:38 2011  cycles contain 13563633 unique relations
Tue Mar 08 08:41:14 2011  read 13563633 relations
Tue Mar 08 08:41:31 2011  using 20 quadratic characters above 536870124
Tue Mar 08 08:42:24 2011  building initial matrix
Tue Mar 08 08:44:38 2011  memory use: 1714.3 MB
Tue Mar 08 08:44:42 2011  read 4248648 cycles
Tue Mar 08 08:44:43 2011  matrix is 4248470 x 4248648 (1423.1 MB) with weight 416055938 (97.93/col)
Tue Mar 08 08:44:43 2011  sparse part has weight 326311761 (76.80/col)
Tue Mar 08 08:45:23 2011  filtering completed in 2 passes
Tue Mar 08 08:45:24 2011  matrix is 4247570 x 4247748 (1423.0 MB) with weight 416029589 (97.94/col)
Tue Mar 08 08:45:24 2011  sparse part has weight 326304944 (76.82/col)
Tue Mar 08 08:45:38 2011  matrix starts at (0, 0)
Tue Mar 08 08:45:39 2011  matrix is 4247570 x 4247748 (1423.0 MB) with weight 416029589 (97.94/col)
Tue Mar 08 08:45:39 2011  sparse part has weight 326304944 (76.82/col)
Tue Mar 08 08:45:39 2011  saving the first 48 matrix rows for later
Tue Mar 08 08:45:40 2011  matrix includes 64 packed rows
Tue Mar 08 08:45:41 2011  matrix is 4247522 x 4247748 (1358.3 MB) with weight 338048510 (79.58/col)
Tue Mar 08 08:45:41 2011  sparse part has weight 313593009 (73.83/col)
Tue Mar 08 08:45:41 2011  using block size 262144 for processor cache size 8192 kB
Tue Mar 08 08:45:48 2011  commencing Lanczos iteration (4 threads)
Tue Mar 08 08:45:48 2011  memory use: 1667.1 MB
Tue Mar 08 08:46:21 2011  linear algebra at 0.0%, ETA 24h55m
Tue Mar 08 08:46:32 2011  checkpointing every 170000 dimensions
Wed Mar 09 09:49:02 2011  lanczos halted after 67173 iterations (dim = 4247520)
Wed Mar 09 09:49:09 2011  recovered 36 nontrivial dependencies
Wed Mar 09 09:49:09 2011  BLanczosTime: 90578
Wed Mar 09 09:49:09 2011  
Wed Mar 09 09:49:09 2011  commencing square root phase
Wed Mar 09 09:49:09 2011  reading relations for dependency 1
Wed Mar 09 09:49:11 2011  read 2123428 cycles
Wed Mar 09 09:49:14 2011  cycles contain 6778234 unique relations
Wed Mar 09 09:50:23 2011  read 6778234 relations
Wed Mar 09 09:50:50 2011  multiplying 6778234 relations
Wed Mar 09 09:56:06 2011  multiply complete, coefficients have about 193.05 million bits
Wed Mar 09 09:56:07 2011  initial square root is modulo 8472301
Wed Mar 09 10:03:01 2011  reading relations for dependency 2
Wed Mar 09 10:03:02 2011  read 2125485 cycles
Wed Mar 09 10:03:05 2011  cycles contain 6787454 unique relations
Wed Mar 09 10:03:37 2011  read 6787454 relations
Wed Mar 09 10:04:05 2011  multiplying 6787454 relations
Wed Mar 09 10:09:31 2011  multiply complete, coefficients have about 193.32 million bits
Wed Mar 09 10:09:32 2011  initial square root is modulo 8663023
Wed Mar 09 10:16:31 2011  reading relations for dependency 3
Wed Mar 09 10:16:32 2011  read 2124355 cycles
Wed Mar 09 10:16:35 2011  cycles contain 6781166 unique relations
Wed Mar 09 10:17:07 2011  read 6781166 relations
Wed Mar 09 10:17:35 2011  multiplying 6781166 relations
Wed Mar 09 10:22:50 2011  multiply complete, coefficients have about 193.14 million bits
Wed Mar 09 10:22:51 2011  initial square root is modulo 8535469
Wed Mar 09 10:29:44 2011  sqrtTime: 2435
Wed Mar 09 10:29:44 2011  prp56 factor: 73858541081957156857463525822457744288969995861184660403
Wed Mar 09 10:29:44 2011  prp151 factor: 4577316648262149343039388811731986548136159619503311320534075084015509604552492194822480051326475687187725367522477258450968855643952307872691706491417
Wed Mar 09 10:29:44 2011  elapsed time 26:06:42
 

ggnfs-lasieve4I14e on the RSALS grid + msieve 1.48

94817544328340834280685450375583667461791192499253332292468601136533083767674938651993540055210879590622703999089667408401091320303901738342856252322001031866326672115376503475750707<182>

34794564363714823145627571264693289022791687<44>

2725067724291452793607699838265956837480351670208311206004089495393264398216199553808352642220026611689871613992100729176687077880762809461<139>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4152598584
Step 1 took 356944ms
Step 2 took 90821ms
********** Factor found in step 2: 34794564363714823145627571264693289022791687
Found probable prime factor of 44 digits: 34794564363714823145627571264693289022791687

2725067724291452793607699838265956837480351670208311206004089495393264398216199553808352642220026611689871613992100729176687077880762809461<139>

125905372831358688276186054342366577305722227<45>
21643776298105146149536808266578891534373379945600563230937581194181304232374041622252439553143<95>

N=2725067724291452793607699838265956837480351670208311206004089495393264398216199553808352642220026611689871613992100729176687077880762809461
  ( 139 digits)
Divisors found:
 r1=125905372831358688276186054342366577305722227 (pp45)
 r2=21643776298105146149536808266578891534373379945600563230937581194181304232374041622252439553143 (pp95)
Version: Msieve-1.40
Total time: 379.49 hours.
Scaled time: 742.66 units (timescale=1.957).
Factorization parameters were as follows:
# Murphy_E = 2.877e-11, selected by Dmitry Domanov
n: 2725067724291452793607699838265956837480351670208311206004089495393264398216199553808352642220026611689871613992100729176687077880762809461
Y0: -845683672530265539611095348
Y1: 875433295590827
c0: -13181569375542955967780600397997965
c1: -38071319770692940371708488243
c2: 21330966326594414465879
c3: 19095518116704219
c4: -41739832590
c5: 6300
skew: 1485433.34
type: gnfs
# selected mechanically
rlim: 16500000
alim: 16500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
qintsize: 600000
Factor base limits: 16500000/16500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [8250000, 13650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1970598 x 1970825
Total sieving time: 374.48 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 4.39 hours.
Time per square root: 0.39 hours.
Prototype def-par.txt line would be:
gnfs,138,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,16500000,16500000,28,28,55,55,2.6,2.6,100000
total time: 379.49 hours.
 --------- CPU info (if available) ----------

46336595658677234807395174966466303362677850591564468369814071241071201398986205449558905376621323789573997080941737257031655333029782384164702028304850990689912591245561<170>

101348834629560683182758569618095410599801<42>
457199096842521730922696137133725186061208304403046096065645196698647390868040755972516433192014743417893764421225218969764197761<129>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=3705763629
Step 1 took 7757ms
Step 2 took 8358ms
********** Factor found in step 2: 101348834629560683182758569618095410599801
Found probable prime factor of 42 digits: 101348834629560683182758569618095410599801
Probable prime cofactor 457199096842521730922696137133725186061208304403046096065645196698647390868040755972516433192014743417893764421225218969764197761 has 129 digits

6039234515470079356550097519395279260983984239903539756695759668544773928729749934495737844559864972555934728142925955129114009516375316916557342988917994239185783776279585775131324575963328609223409624972953<208>

3583619800161088401539838302549011<34>

1685233047099083406886744831934680809432290349324868183994876066716539156066277076176224303355014365763783341097490312335174112519697290578208358990316283735319698598585458723<175>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=84785759
Step 1 took 86325ms
Step 2 took 34703ms
********** Factor found in step 2: 3583619800161088401539838302549011
Found probable prime factor of 34 digits: 3583619800161088401539838302549011
Composite cofactor 1685233047099083406886744831934680809432290349324868183994876066716539156066277076176224303355014365763783341097490312335174112519697290578208358990316283735319698598585458723 has 175 digits

1685233047099083406886744831934680809432290349324868183994876066716539156066277076176224303355014365763783341097490312335174112519697290578208358990316283735319698598585458723<175>

7385777195772335717928246331676927062773044279780545514434315241<64>
228172743697673572601095011732456866560272465657852784539930326033184772623918331952951984311127253709201193003<111>

Polynomial: X^6 + 200 ; m = 10^37 ; skew = 4
rlim = alim = 35100000
lpbr = lpba = 28
mfbr = mfba = 51
rlambda = alambda = 2.6
qintsize = 100000

Matrix: 4113176 x 4113353

time: 258 days or so

p64 = 7385777195772335717928246331676927062773044279780545514434315241
p111 = 228172743697673572601095011732456866560272465657852784539930326033184772623918331952951984311127253709201193003

GGNFS-0.77.1 (relations) and MSieve 1.52 (matrix)

Windows 7 (AMD Athlon 2,7 GHz for relations) and Windows 10 (Intel Core I5 3.2 GHz for matrix step)

34748989340983955659922742619864260323169291501895671608350157166182263348941997783202685304150615442697132101981781963416841333432000891345103806255547<152>

127940771942697210829275011560135281638533528014311980267<57>
271602154757574205291731694324685249390377812403533842754766877090897590483947225428323350153841<96>

Polynomial: X^6 + 20
m = 10^37
skew = 4.9
rlim = alim = 35000000
lpbr = lpba = 28
mfbr = mfba = 51
rlambda = alambda = 2.6
qintsize = 100000

Matrix: 3961256 x 3961433

time: 211 days or so

p57 = 127940771942697210829275011560135281638533528014311980267
p96 = 271602154757574205291731694324685249390377812403533842754766877090897590483947225428323350153841

GGNFS-0.77.1 (relations) and MSieve 1.52 (matrix)

Windows 7 (AMD Athlon 2,7 GHz for relations) and Windows 10 (Intel Core I5 3.2 GHz for matrix step)

17900801633698760297883659826054330365022406433404900738264860977004272205317898546132692914254086126484916247519396413610194291720771839604521169667020028490915880194946890111632979148072208969662079407240015022352731<218>

24605868909075183334375622001217913652404956556310165899<56>
727501300598108633300859155222986635699050849389977089918312983479612046192992923192915986937979676045564285257634670701298632051550151183108111083281395806464369<162>

prp56 factor: 24605868909075183334375622001217913652404956556310165899
prp162 factor: 727501300598108633300859155222986635699050849389977089918312983479612046192992923192915986937979676045564285257634670701298632051550151183108111083281395806464369

ggnfs-lasieve4I14e on the RSALS grid + Msieve SVN r719

Various on the RSALS grid, Xeon E3-1230 for post-processing

2787494250794109193182453049739186186352807866956532350428691152374548953049483060118468914581549392182596093143007892675996356166318063430741935447013852747773548822430996758739018395492301307<193>

33924228337958822581843838617027<32>

82168243387134009488683636426999767692589388446487705139415307966382879541512702577365563484597482522932755770067077456223189993542928818348634301739106494881641<161>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2025732450
Step 1 took 72721ms
Step 2 took 27881ms
********** Factor found in step 2: 33924228337958822581843838617027
Found probable prime factor of 32 digits: 33924228337958822581843838617027
Composite cofactor 82168243387134009488683636426999767692589388446487705139415307966382879541512702577365563484597482522932755770067077456223189993542928818348634301739106494881641 has 161 digits

82168243387134009488683636426999767692589388446487705139415307966382879541512702577365563484597482522932755770067077456223189993542928818348634301739106494881641<161>

185578129892890429669689565439134088709840371<45>

442769002115490694193621611123728665588746485450032132321899869682001358248821356941403708927036597695198221431224371<117>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1307230359
Step 1 took 100399ms
Step 2 took 33222ms
********** Factor found in step 2: 185578129892890429669689565439134088709840371
Found probable prime factor of 45 digits: 185578129892890429669689565439134088709840371
Composite cofactor 442769002115490694193621611123728665588746485450032132321899869682001358248821356941403708927036597695198221431224371 has 117 digits

Tue Mar 13 06:13:14 2012  commencing relation filtering
Tue Mar 13 06:13:14 2012  estimated available RAM is 2006.1 MB
Tue Mar 13 06:13:14 2012  commencing duplicate removal, pass 1
Tue Mar 13 06:16:10 2012  found 856920 hash collisions in 10578847 relations
Tue Mar 13 06:16:53 2012  added 63042 free relations
Tue Mar 13 06:16:53 2012  commencing duplicate removal, pass 2
Tue Mar 13 06:17:03 2012  found 546690 duplicates and 10095199 unique relations
Tue Mar 13 06:17:03 2012  memory use: 34.6 MB
Tue Mar 13 06:17:03 2012  reading ideals above 720000
Tue Mar 13 06:17:03 2012  commencing singleton removal, initial pass
Tue Mar 13 06:20:33 2012  memory use: 344.5 MB
Tue Mar 13 06:20:33 2012  reading all ideals from disk
Tue Mar 13 06:20:33 2012  memory use: 281.3 MB
Tue Mar 13 06:20:36 2012  keeping 10780434 ideals with weight <= 200, target excess is 116552
Tue Mar 13 06:20:39 2012  commencing in-memory singleton removal
Tue Mar 13 06:20:42 2012  begin with 10095199 relations and 10780434 unique ideals
Tue Mar 13 06:21:07 2012  reduce to 3952544 relations and 3543250 ideals in 18 passes
Tue Mar 13 06:21:07 2012  max relations containing the same ideal: 91
Tue Mar 13 06:21:13 2012  removing 918768 relations and 781721 ideals in 137047 cliques
Tue Mar 13 06:21:13 2012  commencing in-memory singleton removal
Tue Mar 13 06:21:14 2012  begin with 3033776 relations and 3543250 unique ideals
Tue Mar 13 06:21:23 2012  reduce to 2887725 relations and 2609276 ideals in 10 passes
Tue Mar 13 06:21:23 2012  max relations containing the same ideal: 72
Tue Mar 13 06:21:27 2012  removing 678527 relations and 541480 ideals in 137047 cliques
Tue Mar 13 06:21:27 2012  commencing in-memory singleton removal
Tue Mar 13 06:21:28 2012  begin with 2209198 relations and 2609276 unique ideals
Tue Mar 13 06:21:33 2012  reduce to 2092659 relations and 1945815 ideals in 9 passes
Tue Mar 13 06:21:33 2012  max relations containing the same ideal: 57
Tue Mar 13 06:21:36 2012  removing 98199 relations and 86556 ideals in 11643 cliques
Tue Mar 13 06:21:37 2012  commencing in-memory singleton removal
Tue Mar 13 06:21:37 2012  begin with 1994460 relations and 1945815 unique ideals
Tue Mar 13 06:21:40 2012  reduce to 1991303 relations and 1856079 ideals in 6 passes
Tue Mar 13 06:21:40 2012  max relations containing the same ideal: 57
Tue Mar 13 06:21:41 2012  relations with 0 large ideals: 468
Tue Mar 13 06:21:41 2012  relations with 1 large ideals: 4693
Tue Mar 13 06:21:41 2012  relations with 2 large ideals: 51052
Tue Mar 13 06:21:41 2012  relations with 3 large ideals: 222063
Tue Mar 13 06:21:41 2012  relations with 4 large ideals: 493722
Tue Mar 13 06:21:41 2012  relations with 5 large ideals: 600558
Tue Mar 13 06:21:41 2012  relations with 6 large ideals: 416005
Tue Mar 13 06:21:41 2012  relations with 7+ large ideals: 202742
Tue Mar 13 06:21:41 2012  commencing 2-way merge
Tue Mar 13 06:21:45 2012  reduce to 1172007 relation sets and 1036783 unique ideals
Tue Mar 13 06:21:45 2012  commencing full merge
Tue Mar 13 06:22:22 2012  memory use: 109.7 MB
Tue Mar 13 06:22:22 2012  found 576744 cycles, need 558983
Tue Mar 13 06:22:22 2012  weight of 558983 cycles is about 39284611 (70.28/cycle)
Tue Mar 13 06:22:22 2012  distribution of cycle lengths:
Tue Mar 13 06:22:22 2012  1 relations: 64016
Tue Mar 13 06:22:22 2012  2 relations: 60215
Tue Mar 13 06:22:22 2012  3 relations: 61528
Tue Mar 13 06:22:22 2012  4 relations: 57203
Tue Mar 13 06:22:22 2012  5 relations: 53116
Tue Mar 13 06:22:22 2012  6 relations: 46772
Tue Mar 13 06:22:22 2012  7 relations: 40774
Tue Mar 13 06:22:22 2012  8 relations: 35916
Tue Mar 13 06:22:22 2012  9 relations: 30206
Tue Mar 13 06:22:22 2012  10+ relations: 109237
Tue Mar 13 06:22:22 2012  heaviest cycle: 19 relations
Tue Mar 13 06:22:23 2012  commencing cycle optimization
Tue Mar 13 06:22:25 2012  start with 3343705 relations
Tue Mar 13 06:22:37 2012  pruned 76346 relations
Tue Mar 13 06:22:37 2012  memory use: 112.3 MB
Tue Mar 13 06:22:37 2012  distribution of cycle lengths:
Tue Mar 13 06:22:37 2012  1 relations: 64016
Tue Mar 13 06:22:37 2012  2 relations: 61597
Tue Mar 13 06:22:37 2012  3 relations: 63610
Tue Mar 13 06:22:37 2012  4 relations: 58506
Tue Mar 13 06:22:37 2012  5 relations: 54364
Tue Mar 13 06:22:37 2012  6 relations: 47422
Tue Mar 13 06:22:37 2012  7 relations: 41400
Tue Mar 13 06:22:37 2012  8 relations: 35951
Tue Mar 13 06:22:37 2012  9 relations: 29929
Tue Mar 13 06:22:37 2012  10+ relations: 102188
Tue Mar 13 06:22:37 2012  heaviest cycle: 19 relations
Tue Mar 13 06:22:39 2012  RelProcTime: 565
Tue Mar 13 06:22:39 2012
Tue Mar 13 06:22:39 2012  commencing linear algebra
Tue Mar 13 06:22:40 2012  read 558983 cycles
Tue Mar 13 06:22:42 2012  cycles contain 1886710 unique relations
Tue Mar 13 06:23:17 2012  read 1886710 relations
Tue Mar 13 06:23:22 2012  using 20 quadratic characters above 134217132
Tue Mar 13 06:23:51 2012  building initial matrix
Tue Mar 13 06:24:38 2012  memory use: 236.9 MB
Tue Mar 13 06:24:39 2012  read 558983 cycles
Tue Mar 13 06:24:39 2012  matrix is 558799 x 558983 (167.7 MB) with weight 53231947 (95.23/col)
Tue Mar 13 06:24:39 2012  sparse part has weight 37800926 (67.62/col)
Tue Mar 13 06:24:58 2012  filtering completed in 2 passes
Tue Mar 13 06:24:59 2012  matrix is 557006 x 557190 (167.5 MB) with weight 53146298 (95.38/col)
Tue Mar 13 06:24:59 2012  sparse part has weight 37767446 (67.78/col)
Tue Mar 13 06:25:02 2012  matrix starts at (0, 0)
Tue Mar 13 06:25:03 2012  matrix is 557006 x 557190 (167.5 MB) with weight 53146298 (95.38/col)
Tue Mar 13 06:25:03 2012  sparse part has weight 37767446 (67.78/col)
Tue Mar 13 06:25:03 2012  saving the first 48 matrix rows for later
Tue Mar 13 06:25:03 2012  matrix includes 64 packed rows
Tue Mar 13 06:25:03 2012  matrix is 556958 x 557190 (161.7 MB) with weight 42234994 (75.80/col)
Tue Mar 13 06:25:03 2012  sparse part has weight 36805068 (66.05/col)
Tue Mar 13 06:25:03 2012  using block size 65536 for processor cache size 2048 kB
Tue Mar 13 06:25:08 2012  commencing Lanczos iteration (8 threads)
Tue Mar 13 06:25:08 2012  memory use: 153.8 MB
Tue Mar 13 06:25:21 2012  linear algebra at 0.5%, ETA 0h39m
Tue Mar 13 07:04:20 2012  lanczos halted after 8810 iterations (dim = 556956)
Tue Mar 13 07:04:22 2012  recovered 29 nontrivial dependencies
Tue Mar 13 07:04:22 2012  BLanczosTime: 2503
Tue Mar 13 07:04:22 2012
Tue Mar 13 07:04:22 2012  commencing square root phase
Tue Mar 13 07:04:22 2012  reading relations for dependency 1
Tue Mar 13 07:04:22 2012  read 278401 cycles
Tue Mar 13 07:04:23 2012  cycles contain 943116 unique relations
Tue Mar 13 07:04:43 2012  read 943116 relations
Tue Mar 13 07:04:53 2012  multiplying 943116 relations
Tue Mar 13 07:07:05 2012  multiply complete, coefficients have about 42.32 million bits
Tue Mar 13 07:07:06 2012  initial square root is modulo 1190831
Tue Mar 13 07:09:51 2012  GCD is N, no factor found
Tue Mar 13 07:09:51 2012  reading relations for dependency 2
Tue Mar 13 07:09:51 2012  read 278267 cycles
Tue Mar 13 07:09:52 2012  cycles contain 943374 unique relations
Tue Mar 13 07:10:12 2012  read 943374 relations
Tue Mar 13 07:10:22 2012  multiplying 943374 relations
Tue Mar 13 07:12:35 2012  multiply complete, coefficients have about 42.33 million bits
Tue Mar 13 07:12:36 2012  initial square root is modulo 1195849
Tue Mar 13 07:15:20 2012  sqrtTime: 658

442769002115490694193621611123728665588746485450032132321899869682001358248821356941403708927036597695198221431224371<117>

10820773307252165076846416076262289987309233<44>
40918425101720181188101478178602683505625439472978935992256866711583626787<74>

Tue Mar 13 06:13:14 2012  commencing relation filtering
Tue Mar 13 06:13:14 2012  estimated available RAM is 2006.1 MB
Tue Mar 13 06:13:14 2012  commencing duplicate removal, pass 1
Tue Mar 13 06:16:10 2012  found 856920 hash collisions in 10578847 relations
Tue Mar 13 06:16:53 2012  added 63042 free relations
Tue Mar 13 06:16:53 2012  commencing duplicate removal, pass 2
Tue Mar 13 06:17:03 2012  found 546690 duplicates and 10095199 unique relations
Tue Mar 13 06:17:03 2012  memory use: 34.6 MB
Tue Mar 13 06:17:03 2012  reading ideals above 720000
Tue Mar 13 06:17:03 2012  commencing singleton removal, initial pass
Tue Mar 13 06:20:33 2012  memory use: 344.5 MB
Tue Mar 13 06:20:33 2012  reading all ideals from disk
Tue Mar 13 06:20:33 2012  memory use: 281.3 MB
Tue Mar 13 06:20:36 2012  keeping 10780434 ideals with weight <= 200, target excess is 116552
Tue Mar 13 06:20:39 2012  commencing in-memory singleton removal
Tue Mar 13 06:20:42 2012  begin with 10095199 relations and 10780434 unique ideals
Tue Mar 13 06:21:07 2012  reduce to 3952544 relations and 3543250 ideals in 18 passes
Tue Mar 13 06:21:07 2012  max relations containing the same ideal: 91
Tue Mar 13 06:21:13 2012  removing 918768 relations and 781721 ideals in 137047 cliques
Tue Mar 13 06:21:13 2012  commencing in-memory singleton removal
Tue Mar 13 06:21:14 2012  begin with 3033776 relations and 3543250 unique ideals
Tue Mar 13 06:21:23 2012  reduce to 2887725 relations and 2609276 ideals in 10 passes
Tue Mar 13 06:21:23 2012  max relations containing the same ideal: 72
Tue Mar 13 06:21:27 2012  removing 678527 relations and 541480 ideals in 137047 cliques
Tue Mar 13 06:21:27 2012  commencing in-memory singleton removal
Tue Mar 13 06:21:28 2012  begin with 2209198 relations and 2609276 unique ideals
Tue Mar 13 06:21:33 2012  reduce to 2092659 relations and 1945815 ideals in 9 passes
Tue Mar 13 06:21:33 2012  max relations containing the same ideal: 57
Tue Mar 13 06:21:36 2012  removing 98199 relations and 86556 ideals in 11643 cliques
Tue Mar 13 06:21:37 2012  commencing in-memory singleton removal
Tue Mar 13 06:21:37 2012  begin with 1994460 relations and 1945815 unique ideals
Tue Mar 13 06:21:40 2012  reduce to 1991303 relations and 1856079 ideals in 6 passes
Tue Mar 13 06:21:40 2012  max relations containing the same ideal: 57
Tue Mar 13 06:21:41 2012  relations with 0 large ideals: 468
Tue Mar 13 06:21:41 2012  relations with 1 large ideals: 4693
Tue Mar 13 06:21:41 2012  relations with 2 large ideals: 51052
Tue Mar 13 06:21:41 2012  relations with 3 large ideals: 222063
Tue Mar 13 06:21:41 2012  relations with 4 large ideals: 493722
Tue Mar 13 06:21:41 2012  relations with 5 large ideals: 600558
Tue Mar 13 06:21:41 2012  relations with 6 large ideals: 416005
Tue Mar 13 06:21:41 2012  relations with 7+ large ideals: 202742
Tue Mar 13 06:21:41 2012  commencing 2-way merge
Tue Mar 13 06:21:45 2012  reduce to 1172007 relation sets and 1036783 unique ideals
Tue Mar 13 06:21:45 2012  commencing full merge
Tue Mar 13 06:22:22 2012  memory use: 109.7 MB
Tue Mar 13 06:22:22 2012  found 576744 cycles, need 558983
Tue Mar 13 06:22:22 2012  weight of 558983 cycles is about 39284611 (70.28/cycle)
Tue Mar 13 06:22:22 2012  distribution of cycle lengths:
Tue Mar 13 06:22:22 2012  1 relations: 64016
Tue Mar 13 06:22:22 2012  2 relations: 60215
Tue Mar 13 06:22:22 2012  3 relations: 61528
Tue Mar 13 06:22:22 2012  4 relations: 57203
Tue Mar 13 06:22:22 2012  10+ relations: 109237
Tue Mar 13 06:22:22 2012  heaviest cycle: 19 relations
Tue Mar 13 06:22:23 2012  commencing cycle optimization
Tue Mar 13 06:22:25 2012  start with 3343705 relations
Tue Mar 13 06:22:37 2012  pruned 76346 relations
Tue Mar 13 06:22:37 2012  memory use: 112.3 MB
Tue Mar 13 06:22:37 2012  distribution of cycle lengths:
Tue Mar 13 06:22:37 2012  1 relations: 64016
Tue Mar 13 06:22:37 2012  2 relations: 61597
Tue Mar 13 06:22:37 2012  3 relations: 63610
Tue Mar 13 06:22:37 2012  4 relations: 58506
Tue Mar 13 06:22:37 2012  5 relations: 54364
Tue Mar 13 06:22:37 2012  6 relations: 47422
Tue Mar 13 06:22:37 2012  7 relations: 41400
Tue Mar 13 06:22:37 2012  8 relations: 35951
Tue Mar 13 06:22:37 2012  9 relations: 29929
Tue Mar 13 06:22:37 2012  10+ relations: 102188
Tue Mar 13 06:22:37 2012  heaviest cycle: 19 relations
Tue Mar 13 06:22:39 2012  RelProcTime: 565
Tue Mar 13 06:22:39 2012
Tue Mar 13 06:22:39 2012  commencing linear algebra
Tue Mar 13 06:22:40 2012  read 558983 cycles
Tue Mar 13 06:22:42 2012  cycles contain 1886710 unique relations
Tue Mar 13 06:23:17 2012  read 1886710 relations
Tue Mar 13 06:23:22 2012  using 20 quadratic characters above 134217132
Tue Mar 13 06:23:51 2012  building initial matrix
Tue Mar 13 06:24:38 2012  memory use: 236.9 MB
Tue Mar 13 06:24:39 2012  read 558983 cycles
Tue Mar 13 06:24:39 2012  matrix is 558799 x 558983 (167.7 MB) with weight 53231947 (95.23/col)
Tue Mar 13 06:24:39 2012  sparse part has weight 37800926 (67.62/col)
Tue Mar 13 06:24:58 2012  filtering completed in 2 passes
Tue Mar 13 06:24:59 2012  matrix is 557006 x 557190 (167.5 MB) with weight 53146298 (95.38/col)
Tue Mar 13 06:24:59 2012  sparse part has weight 37767446 (67.78/col)
Tue Mar 13 06:25:02 2012  matrix starts at (0, 0)
Tue Mar 13 06:25:03 2012  matrix is 557006 x 557190 (167.5 MB) with weight 53146298 (95.38/col)
Tue Mar 13 06:25:03 2012  sparse part has weight 37767446 (67.78/col)
Tue Mar 13 06:25:03 2012  saving the first 48 matrix rows for later
Tue Mar 13 06:25:03 2012  matrix includes 64 packed rows
Tue Mar 13 06:25:03 2012  matrix is 556958 x 557190 (161.7 MB) with weight 42234994 (75.80/col)
Tue Mar 13 06:25:03 2012  sparse part has weight 36805068 (66.05/col)
Tue Mar 13 06:25:03 2012  using block size 65536 for processor cache size 2048 kB
Tue Mar 13 06:25:08 2012  commencing Lanczos iteration (8 threads)
Tue Mar 13 06:25:08 2012  memory use: 153.8 MB
Tue Mar 13 06:25:21 2012  linear algebra at 0.5%, ETA 0h39m
Tue Mar 13 07:04:20 2012  lanczos halted after 8810 iterations (dim = 556956)
Tue Mar 13 07:04:22 2012  recovered 29 nontrivial dependencies
Tue Mar 13 07:04:22 2012  BLanczosTime: 2503
Tue Mar 13 07:04:22 2012
Tue Mar 13 07:04:22 2012  commencing square root phase
Tue Mar 13 07:04:22 2012  reading relations for dependency 1
Tue Mar 13 07:04:22 2012  read 278401 cycles
Tue Mar 13 07:04:23 2012  cycles contain 943116 unique relations
Tue Mar 13 07:04:43 2012  read 943116 relations
Tue Mar 13 07:04:53 2012  multiplying 943116 relations
Tue Mar 13 07:07:05 2012  multiply complete, coefficients have about 42.32 million bits
Tue Mar 13 07:07:06 2012  initial square root is modulo 1190831
Tue Mar 13 07:09:51 2012  GCD is N, no factor found
Tue Mar 13 07:09:51 2012  reading relations for dependency 2
Tue Mar 13 07:09:51 2012  read 278267 cycles
Tue Mar 13 07:09:52 2012  cycles contain 943374 unique relations
Tue Mar 13 07:10:12 2012  read 943374 relations
Tue Mar 13 07:10:22 2012  multiplying 943374 relations
Tue Mar 13 07:12:35 2012  multiply complete, coefficients have about 42.33 million bits
Tue Mar 13 07:12:36 2012  initial square root is modulo 1195849
Tue Mar 13 07:15:20 2012  sqrtTime: 658

prp74 = 40918425101720181188101478178602683505625439472978935992256866711583626787
prp44 = 10820773307252165076846416076262289987309233
NFS elapsed time = 31571.4117 seconds.

14966035075009674035858365457375035295530484398756295536980537967782978777227304644928235716867030382578822658599373973350714703743016147630471792152508856242002053872452039818500683992123331123<194>

4521560515546542135106509112491403<34>
3309926965159872351121962330475372920101477255935406092468545614154786862706761798401384117028372996588126061069055579001449850773695724142614364685273940501241<160>

[2010-06-22 01:20:27 GMT] a: Factor found!  16667_230 / (probable) 4521560515546542135106509112491403  B1: 1000000 sigma: 4104351981 (found in step 2)

gmp-ecm 6.2

Athlon 64x2 2600+, Ubuntu Linux 10.04

2572253041722774023372779885326085023314257218230842363660503051293678735288073872593988019287381784533081609943840008845908840815889558162071625054914689878055436249<166>

4943766143250370016176991573943860766934351828259101201562586052429430951753094080759583960326474451061510634980289698763475099782503952293843221508309432695913789419490125667569101738455589209419614708574379011062863249397083<226>

90433850927428682312590240249425398749<38>
54667208048207980643522706666645627503657637513031534463424969457442939162592992899715249882671235579271265030696564500012756096598639105647773658054198356964462730267399374041462524694167<188>

Factor=90433850927428682312590240249425398749  Method=ECM  B1=11000000  Sigma=17305667

1039788548600756550147961910465887657086054979859295813603345623633977794275756082243115040125440090503195270209850124878604686950861672770225446953107616035203081101427213761809398440733092518305477398116319065354869433751952203<229>

24040871273054608101089712780193338344530971910358599052872640255520441910755152087906398782548917085602883640712532002072676785752109421752802254420994760216479059369<167>

45811793282638952128475452533632400763<38>

524774726122001586064520328550387679123758668622812053249891147386044971383989990437002165971185044990169587766020300646731845163<129>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2212278092
Step 1 took 60082ms
********** Factor found in step 1: 45811793282638952128475452533632400763
Found probable prime factor of 38 digits: 45811793282638952128475452533632400763
Composite cofactor 524774726122001586064520328550387679123758668622812053249891147386044971383989990437002165971185044990169587766020300646731845163 has 129 digits

524774726122001586064520328550387679123758668622812053249891147386044971383989990437002165971185044990169587766020300646731845163<129>

57112724532892089215887180430578672954769<41>
9188402941970940586903570176381672421927049812486310377891289271473941512020971693445627<88>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=433427061
Step 1 took 28038ms
Step 2 took 12733ms
********** Factor found in step 2: 57112724532892089215887180430578672954769
Found probable prime factor of 41 digits: 57112724532892089215887180430578672954769
Probable prime cofactor 9188402941970940586903570176381672421927049812486310377891289271473941512020971693445627 has 88 digits

GMP-ECM 6.3

90951275764450020363990643660359559497505115554505371491395372653752676923423937175224363154619533532734910319313557979346420494305631575663548675030909791068548339420702220247973196295227113521198650501350717396377847252425625049<230>

17153694791135726572663017200153768529672732507494486269448200522665415693446066412131731229821670399446982884449129396532722644857178090706247437914168270240165268750524158403779294180649106088645695362313<206>

1508760778938923191354782872952347476686508497353833202792182341901927078615674121463029720715576474435241578027853529060608444640115428696929534608154054599917995049587506598463425336802200074726447013167405833768573853418128670421<232>

27675497237797821366739129234599816257225793345724719254442293932972048389900345716429133836583941847253541129161<113>
54516121823398806257636669871711448654593535592476052929992429177723101254993763687810650419234197314415455375852095661<119>

Tue Jan 15 12:50:55 2019 -> Lattice sieving rational q from 92850000 to 92950000.
Tue Jan 15 12:50:55 2019 -> gnfs-lasieve4I15e -k -o spairs.out.T0 -v -n0 -r 1554.job.T0
Tue Jan 15 12:50:55 2019 -> gnfs-lasieve4I15e -k -o spairs.out.T1 -v -n1 -r 1554.job.T1
Tue Jan 15 12:50:55 2019 -> gnfs-lasieve4I15e -k -o spairs.out.T2 -v -n2 -r 1554.job.T2
Tue Jan 15 12:50:55 2019 -> gnfs-lasieve4I15e -k -o spairs.out.T3 -v -n3 -r 1554.job.T3
Tue Jan 15 12:50:55 2019 -> gnfs-lasieve4I15e -k -o spairs.out.T4 -v -n4 -r 1554.job.T4
Tue Jan 15 12:50:56 2019 -> gnfs-lasieve4I15e -k -o spairs.out.T5 -v -n5 -r 1554.job.T5
Tue Jan 15 12:50:56 2019 -> gnfs-lasieve4I15e -k -o spairs.out.T6 -v -n6 -r 1554.job.T6
Tue Jan 15 12:50:57 2019 -> gnfs-lasieve4I15e -k -o spairs.out.T7 -v -n7 -r 1554.job.T7
Tue Jan 15 12:50:57 2019 -> gnfs-lasieve4I15e -k -o spairs.out.T8 -v -n8 -r 1554.job.T8
Tue Jan 15 12:50:57 2019 -> gnfs-lasieve4I15e -k -o spairs.out.T9 -v -n9 -r 1554.job.T9
Tue Jan 15 12:50:57 2019 -> gnfs-lasieve4I15e -k -o spairs.out.T10 -v -n10 -r 1554.job.T10
Tue Jan 15 12:50:58 2019 -> gnfs-lasieve4I15e -k -o spairs.out.T11 -v -n11 -r 1554.job.T11
Tue Jan 15 13:38:17 2019 Found 110531861 relations, 100.1% of the estimated minimum (110371550).
Tue Jan 15 13:38:17 2019  
Tue Jan 15 13:38:17 2019  
Tue Jan 15 13:38:17 2019  Msieve v. 1.53 (SVN unknown)
Tue Jan 15 13:38:17 2019  random seeds: 6ac0b6c0 f5f6ce62
Tue Jan 15 13:38:17 2019  factoring 1508760778938923191354782872952347476686508497353833202792182341901927078615674121463029720715576474435241578027853529060608444640115428696929534608154054599917995049587506598463425336802200074726447013167405833768573853418128670421 (232 digits)
Tue Jan 15 13:38:18 2019  searching for 15-digit factors
Tue Jan 15 13:38:19 2019  commencing number field sieve (232-digit input)
Tue Jan 15 13:38:19 2019  R0: -10000000000000000000000000000000000000000
Tue Jan 15 13:38:19 2019  R1: 1
Tue Jan 15 13:38:19 2019  A0: 1
Tue Jan 15 13:38:19 2019  A1: 0
Tue Jan 15 13:38:19 2019  A2: 0
Tue Jan 15 13:38:19 2019  A3: 0
Tue Jan 15 13:38:19 2019  A4: 0
Tue Jan 15 13:38:19 2019  A5: 0
Tue Jan 15 13:38:19 2019  A6: 5
Tue Jan 15 13:38:19 2019  skew 0.76, size 7.236e-12, alpha 1.565, combined = 5.040e-13 rroots = 0
Tue Jan 15 13:38:19 2019  
Tue Jan 15 13:38:19 2019  commencing relation filtering
Tue Jan 15 13:38:19 2019  estimated available RAM is 32610.6 MB
Tue Jan 15 13:38:19 2019  commencing duplicate removal, pass 1
Tue Jan 15 13:48:19 2019  error -15 reading relation 70708122
Tue Jan 15 13:49:20 2019  error -15 reading relation 77822939
Tue Jan 15 13:53:59 2019  skipped 191 relations with b > 2^32
Tue Jan 15 13:53:59 2019  skipped 1 relations with composite factors
Tue Jan 15 13:53:59 2019  found 15979566 hash collisions in 110531666 relations
Tue Jan 15 13:54:15 2019  added 1218101 free relations
Tue Jan 15 13:54:15 2019  commencing duplicate removal, pass 2
Tue Jan 15 13:54:49 2019  found 13519057 duplicates and 98230710 unique relations
Tue Jan 15 13:54:49 2019  memory use: 426.4 MB
Tue Jan 15 13:54:49 2019  reading ideals above 720000
Tue Jan 15 13:54:49 2019  commencing singleton removal, initial pass
Tue Jan 15 14:07:25 2019  memory use: 2756.0 MB
Tue Jan 15 14:07:25 2019  reading all ideals from disk
Tue Jan 15 14:07:26 2019  memory use: 3868.3 MB
Tue Jan 15 14:07:33 2019  keeping 91196762 ideals with weight <= 200, target excess is 532917
Tue Jan 15 14:07:39 2019  commencing in-memory singleton removal
Tue Jan 15 14:07:45 2019  begin with 98230710 relations and 91196762 unique ideals
Tue Jan 15 14:08:33 2019  reduce to 63684912 relations and 53144220 ideals in 13 passes
Tue Jan 15 14:08:33 2019  max relations containing the same ideal: 158
Tue Jan 15 14:08:52 2019  removing 5526374 relations and 4526374 ideals in 1000000 cliques
Tue Jan 15 14:08:54 2019  commencing in-memory singleton removal
Tue Jan 15 14:08:57 2019  begin with 58158538 relations and 53144220 unique ideals
Tue Jan 15 14:09:22 2019  reduce to 57779217 relations and 48231063 ideals in 8 passes
Tue Jan 15 14:09:22 2019  max relations containing the same ideal: 146
Tue Jan 15 14:09:39 2019  removing 4287584 relations and 3287584 ideals in 1000000 cliques
Tue Jan 15 14:09:40 2019  commencing in-memory singleton removal
Tue Jan 15 14:09:43 2019  begin with 53491633 relations and 48231063 unique ideals
Tue Jan 15 14:10:03 2019  reduce to 53240094 relations and 44687604 ideals in 7 passes
Tue Jan 15 14:10:03 2019  max relations containing the same ideal: 138
Tue Jan 15 14:10:19 2019  removing 3910412 relations and 2910412 ideals in 1000000 cliques
Tue Jan 15 14:10:20 2019  commencing in-memory singleton removal
Tue Jan 15 14:10:23 2019  begin with 49329682 relations and 44687604 unique ideals
Tue Jan 15 14:10:47 2019  reduce to 49106674 relations and 41550296 ideals in 9 passes
Tue Jan 15 14:10:47 2019  max relations containing the same ideal: 131
Tue Jan 15 14:11:01 2019  removing 3711350 relations and 2711350 ideals in 1000000 cliques
Tue Jan 15 14:11:02 2019  commencing in-memory singleton removal
Tue Jan 15 14:11:05 2019  begin with 45395324 relations and 41550296 unique ideals
Tue Jan 15 14:11:21 2019  reduce to 45182811 relations and 38622541 ideals in 7 passes
Tue Jan 15 14:11:21 2019  max relations containing the same ideal: 124
Tue Jan 15 14:11:35 2019  removing 3591309 relations and 2591309 ideals in 1000000 cliques
Tue Jan 15 14:11:36 2019  commencing in-memory singleton removal
Tue Jan 15 14:11:38 2019  begin with 41591502 relations and 38622541 unique ideals
Tue Jan 15 14:11:56 2019  reduce to 41380096 relations and 35815860 ideals in 8 passes
Tue Jan 15 14:11:56 2019  max relations containing the same ideal: 116
Tue Jan 15 14:12:08 2019  removing 3513078 relations and 2513078 ideals in 1000000 cliques
Tue Jan 15 14:12:09 2019  commencing in-memory singleton removal
Tue Jan 15 14:12:11 2019  begin with 37867018 relations and 35815860 unique ideals
Tue Jan 15 14:12:27 2019  reduce to 37652942 relations and 33084248 ideals in 8 passes
Tue Jan 15 14:12:27 2019  max relations containing the same ideal: 110
Tue Jan 15 14:12:39 2019  removing 3456737 relations and 2456737 ideals in 1000000 cliques
Tue Jan 15 14:12:39 2019  commencing in-memory singleton removal
Tue Jan 15 14:12:41 2019  begin with 34196205 relations and 33084248 unique ideals
Tue Jan 15 14:12:55 2019  reduce to 33972909 relations and 30399369 ideals in 8 passes
Tue Jan 15 14:12:55 2019  max relations containing the same ideal: 104
Tue Jan 15 14:13:06 2019  removing 3418446 relations and 2418446 ideals in 1000000 cliques
Tue Jan 15 14:13:06 2019  commencing in-memory singleton removal
Tue Jan 15 14:13:08 2019  begin with 30554463 relations and 30399369 unique ideals
Tue Jan 15 14:13:19 2019  reduce to 30320038 relations and 27740730 ideals in 7 passes
Tue Jan 15 14:13:19 2019  max relations containing the same ideal: 98
Tue Jan 15 14:13:28 2019  removing 3390056 relations and 2390056 ideals in 1000000 cliques
Tue Jan 15 14:13:29 2019  commencing in-memory singleton removal
Tue Jan 15 14:13:30 2019  begin with 26929982 relations and 27740730 unique ideals
Tue Jan 15 14:13:40 2019  reduce to 26676480 relations and 25090146 ideals in 7 passes
Tue Jan 15 14:13:40 2019  max relations containing the same ideal: 87
Tue Jan 15 14:13:48 2019  removing 3282590 relations and 2314440 ideals in 968150 cliques
Tue Jan 15 14:13:49 2019  commencing in-memory singleton removal
Tue Jan 15 14:13:50 2019  begin with 23393890 relations and 25090146 unique ideals
Tue Jan 15 14:13:59 2019  reduce to 23127318 relations and 22501082 ideals in 8 passes
Tue Jan 15 14:13:59 2019  max relations containing the same ideal: 77
Tue Jan 15 14:14:06 2019  removing 56649 relations and 48597 ideals in 8052 cliques
Tue Jan 15 14:14:06 2019  commencing in-memory singleton removal
Tue Jan 15 14:14:07 2019  begin with 23070669 relations and 22501082 unique ideals
Tue Jan 15 14:14:12 2019  reduce to 23070610 relations and 22452426 ideals in 4 passes
Tue Jan 15 14:14:12 2019  max relations containing the same ideal: 77
Tue Jan 15 14:14:15 2019  relations with 0 large ideals: 19704
Tue Jan 15 14:14:15 2019  relations with 1 large ideals: 6735
Tue Jan 15 14:14:15 2019  relations with 2 large ideals: 67345
Tue Jan 15 14:14:15 2019  relations with 3 large ideals: 475150
Tue Jan 15 14:14:15 2019  relations with 4 large ideals: 1824315
Tue Jan 15 14:14:15 2019  relations with 5 large ideals: 4189300
Tue Jan 15 14:14:15 2019  relations with 6 large ideals: 6016628
Tue Jan 15 14:14:15 2019  relations with 7+ large ideals: 10471433
Tue Jan 15 14:14:15 2019  commencing 2-way merge
Tue Jan 15 14:14:25 2019  reduce to 15444283 relation sets and 14826099 unique ideals
Tue Jan 15 14:14:25 2019  commencing full merge
Tue Jan 15 14:16:56 2019  memory use: 1912.9 MB
Tue Jan 15 14:16:58 2019  found 8495226 cycles, need 8410299
Tue Jan 15 14:16:59 2019  weight of 8410299 cycles is about 588730703 (70.00/cycle)
Tue Jan 15 14:16:59 2019  distribution of cycle lengths:
Tue Jan 15 14:16:59 2019  1 relations: 946394
Tue Jan 15 14:16:59 2019  2 relations: 1056695
Tue Jan 15 14:16:59 2019  3 relations: 1084944
Tue Jan 15 14:16:59 2019  4 relations: 1026559
Tue Jan 15 14:16:59 2019  5 relations: 952155
Tue Jan 15 14:16:59 2019  6 relations: 829715
Tue Jan 15 14:16:59 2019  7 relations: 693557
Tue Jan 15 14:16:59 2019  8 relations: 549656
Tue Jan 15 14:16:59 2019  9 relations: 415077
Tue Jan 15 14:16:59 2019  10+ relations: 855547
Tue Jan 15 14:16:59 2019  heaviest cycle: 19 relations
Tue Jan 15 14:17:03 2019  commencing cycle optimization
Tue Jan 15 14:17:10 2019  start with 42950972 relations
Tue Jan 15 14:17:51 2019  pruned 1208924 relations
Tue Jan 15 14:17:51 2019  memory use: 1398.2 MB
Tue Jan 15 14:17:51 2019  distribution of cycle lengths:
Tue Jan 15 14:17:51 2019  1 relations: 946394
Tue Jan 15 14:17:51 2019  2 relations: 1079644
Tue Jan 15 14:17:51 2019  3 relations: 1126993
Tue Jan 15 14:17:51 2019  4 relations: 1058006
Tue Jan 15 14:17:51 2019  5 relations: 983915
Tue Jan 15 14:17:51 2019  6 relations: 847184
Tue Jan 15 14:17:51 2019  7 relations: 702134
Tue Jan 15 14:17:51 2019  8 relations: 543107
Tue Jan 15 14:17:51 2019  9 relations: 399528
Tue Jan 15 14:17:51 2019  10+ relations: 723394
Tue Jan 15 14:17:51 2019  heaviest cycle: 18 relations
Tue Jan 15 14:17:58 2019  RelProcTime: 2379
Tue Jan 15 14:17:58 2019  elapsed time 00:39:41
Tue Jan 15 14:17:58 2019 LatSieveTime: 5222.93
Tue Jan 15 14:17:58 2019 -> Running matrix solving step ...
Tue Jan 15 14:17:58 2019  
Tue Jan 15 14:17:58 2019  
Tue Jan 15 14:17:58 2019  Msieve v. 1.53 (SVN unknown)
Tue Jan 15 14:17:58 2019  random seeds: cf963730 6daa8061
Tue Jan 15 14:17:58 2019  factoring 1508760778938923191354782872952347476686508497353833202792182341901927078615674121463029720715576474435241578027853529060608444640115428696929534608154054599917995049587506598463425336802200074726447013167405833768573853418128670421 (232 digits)
Tue Jan 15 14:17:59 2019  searching for 15-digit factors
Tue Jan 15 14:17:59 2019  commencing number field sieve (232-digit input)
Tue Jan 15 14:17:59 2019  R0: -10000000000000000000000000000000000000000
Tue Jan 15 14:17:59 2019  R1: 1
Tue Jan 15 14:17:59 2019  A0: 1
Tue Jan 15 14:17:59 2019  A1: 0
Tue Jan 15 14:17:59 2019  A2: 0
Tue Jan 15 14:18:00 2019  A3: 0
Tue Jan 15 14:18:00 2019  A4: 0
Tue Jan 15 14:18:00 2019  A5: 0
Tue Jan 15 14:18:00 2019  A6: 5
Tue Jan 15 14:18:00 2019  skew 0.76, size 7.236e-12, alpha 1.565, combined = 5.040e-13 rroots = 0
Tue Jan 15 14:18:00 2019  
Tue Jan 15 14:18:00 2019  commencing linear algebra
Tue Jan 15 14:18:00 2019  read 8410299 cycles
Tue Jan 15 14:18:09 2019  cycles contain 22738462 unique relations
Tue Jan 15 14:20:32 2019  read 22738462 relations
Tue Jan 15 14:20:57 2019  using 20 quadratic characters above 4294917295
Tue Jan 15 14:22:04 2019  building initial matrix
Tue Jan 15 14:24:35 2019  memory use: 3022.6 MB
Tue Jan 15 14:24:38 2019  read 8410299 cycles
Tue Jan 15 14:24:40 2019  matrix is 8410122 x 8410299 (2517.5 MB) with weight 737415352 (87.68/col)
Tue Jan 15 14:24:40 2019  sparse part has weight 567433082 (67.47/col)
Tue Jan 15 14:25:22 2019  filtering completed in 2 passes
Tue Jan 15 14:25:24 2019  matrix is 8408930 x 8409107 (2517.4 MB) with weight 737382352 (87.69/col)
Tue Jan 15 14:25:24 2019  sparse part has weight 567422916 (67.48/col)
Tue Jan 15 14:25:34 2019  matrix starts at (0, 0)
Tue Jan 15 14:25:36 2019  matrix is 8408930 x 8409107 (2517.4 MB) with weight 737382352 (87.69/col)
Tue Jan 15 14:25:36 2019  sparse part has weight 567422916 (67.48/col)
Tue Jan 15 14:25:36 2019  saving the first 48 matrix rows for later
Tue Jan 15 14:25:38 2019  matrix includes 64 packed rows
Tue Jan 15 14:25:39 2019  matrix is 8408882 x 8409107 (2401.5 MB) with weight 586814410 (69.78/col)
Tue Jan 15 14:25:39 2019  sparse part has weight 545443352 (64.86/col)
Tue Jan 15 14:25:39 2019  using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
Tue Jan 15 14:26:00 2019  commencing Lanczos iteration (12 threads)
Tue Jan 15 14:26:00 2019  memory use: 1992.2 MB
Tue Jan 15 14:26:11 2019  linear algebra at 0.0%, ETA 15h23m
Tue Jan 15 14:26:15 2019  checkpointing every 530000 dimensions
Wed Jan 16 06:17:27 2019  lanczos halted after 132970 iterations (dim = 8408878)
Wed Jan 16 06:17:33 2019  recovered 34 nontrivial dependencies
Wed Jan 16 06:17:34 2019  BLanczosTime: 57574
Wed Jan 16 06:17:34 2019  elapsed time 15:59:36
Wed Jan 16 06:17:34 2019 -> Running square root step ...
Wed Jan 16 06:17:34 2019  
Wed Jan 16 06:17:34 2019  
Wed Jan 16 06:17:34 2019  Msieve v. 1.53 (SVN unknown)
Wed Jan 16 06:17:34 2019  random seeds: 489dc6f0 abcc8024
Wed Jan 16 06:17:34 2019  factoring 1508760778938923191354782872952347476686508497353833202792182341901927078615674121463029720715576474435241578027853529060608444640115428696929534608154054599917995049587506598463425336802200074726447013167405833768573853418128670421 (232 digits)
Wed Jan 16 06:17:35 2019  searching for 15-digit factors
Wed Jan 16 06:17:35 2019  commencing number field sieve (232-digit input)
Wed Jan 16 06:17:35 2019  R0: -10000000000000000000000000000000000000000
Wed Jan 16 06:17:35 2019  R1: 1
Wed Jan 16 06:17:35 2019  A0: 1
Wed Jan 16 06:17:35 2019  A1: 0
Wed Jan 16 06:17:35 2019  A2: 0
Wed Jan 16 06:17:35 2019  A3: 0
Wed Jan 16 06:17:35 2019  A4: 0
Wed Jan 16 06:17:35 2019  A5: 0
Wed Jan 16 06:17:35 2019  A6: 5
Wed Jan 16 06:17:35 2019  skew 0.76, size 7.236e-12, alpha 1.565, combined = 5.040e-13 rroots = 0
Wed Jan 16 06:17:35 2019  
Wed Jan 16 06:17:35 2019  commencing square root phase
Wed Jan 16 06:17:35 2019  reading relations for dependency 1
Wed Jan 16 06:17:36 2019  read 4205602 cycles
Wed Jan 16 06:17:40 2019  cycles contain 11372290 unique relations
Wed Jan 16 06:18:57 2019  read 11372290 relations
Wed Jan 16 06:19:37 2019  multiplying 11372290 relations
Wed Jan 16 06:24:03 2019  multiply complete, coefficients have about 315.83 million bits
Wed Jan 16 06:24:05 2019  initial square root is modulo 464773
Wed Jan 16 06:29:07 2019  sqrtTime: 692
Wed Jan 16 06:29:07 2019  p113 factor: 27675497237797821366739129234599816257225793345724719254442293932972048389900345716429133836583941847253541129161
Wed Jan 16 06:29:07 2019  p119 factor: 54516121823398806257636669871711448654593535592476052929992429177723101254993763687810650419234197314415455375852095661
Wed Jan 16 06:29:07 2019  elapsed time 00:11:33
Wed Jan 16 06:29:07 2019 -> Computing 1.54759e+09 scale for this machine...
Wed Jan 16 06:29:07 2019 -> procrels -speedtest> PIPE
Wed Jan 16 06:29:09 2019 -> Factorization summary written to s241-1554.txt


Number: 1554
N = 1508760778938923191354782872952347476686508497353833202792182341901927078615674121463029720715576474435241578027853529060608444640115428696929534608154054599917995049587506598463425336802200074726447013167405833768573853418128670421 (232 digits)
SNFS difficulty: 241 digits.
Divisors found:
Version: Msieve v. 1.53 (SVN unknown)
Total time: 476.41 hours.
Factorization parameters were as follows:
n: 1508760778938923191354782872952347476686508497353833202792182341901927078615674121463029720715576474435241578027853529060608444640115428696929534608154054599917995049587506598463425336802200074726447013167405833768573853418128670421
m: 10000000000000000000000000000000000000000
c6: 5
c0: 1
type: snfs

Factor base limits: 72700000/72700000
Large primes per side: 3
Large prime bits: 30/30
Sieved rational special-q in [0, 0)
Total raw relations: 110531861
Relations: 11372290 relations
Pruned matrix : 8408882 x 8409107
Polynomial selection time: 0.00 hours.
Total sieving time: 459.56 hours.
Total relation processing time: 0.66 hours.
Matrix solve time: 15.99 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: snfs,241,6,0,0,0,0,0,0,0,0,72700000,72700000,30,30,60,60,2.6,2.6,100000
total time: 476.41 hours.
Intel64 Family 6 Model 158 Stepping 12, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 16, speed: 3.60GHz

core i9 9900k 3.6Ghz windows 10

51599587203302373581011351909184726522187822497420020639834881320949432404540763673890608875128998968008255933952528379772961816305469556243550051599587203302373581011351909184726522187822497420020639834881320949432404540763673890608875129<239>

124230143273139176157139256773663836881<39>

415354807165058996503285808160138122870173888533409121159271278011773064504477739962027673283416007156995216037350701392168397711528897989069421471356141845073440393741231431952116359729865540584807209<201>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1745847752
Step 1 took 102477ms
Step 2 took 28252ms
********** Factor found in step 2: 124230143273139176157139256773663836881
Found probable prime factor of 39 digits: 124230143273139176157139256773663836881
Composite cofactor 415354807165058996503285808160138122870173888533409121159271278011773064504477739962027673283416007156995216037350701392168397711528897989069421471356141845073440393741231431952116359729865540584807209 has 201 digits

GMP-ECM 6.2.1

415354807165058996503285808160138122870173888533409121159271278011773064504477739962027673283416007156995216037350701392168397711528897989069421471356141845073440393741231431952116359729865540584807209<201>

15592353903239108835137215317539351974826640933325992114920582425634147<71>
26638364530628979284424762934936118223765836591799063539692078197639318382044102272213377069538704511422436243531986461533847410947<131>

Number: 1559
N = 415354807165058996503285808160138122870173888533409121159271278011773064504477739962027673283416007156995216037350701392168397711528897989069421471356141845073440393741231431952116359729865540584807209 (201 digits)
SNFS difficulty: 242 digits.
Divisors found:
Version: Msieve v. 1.53 (SVN unknown)
Total time: 588.83 hours.
Factorization parameters were as follows:
n: 415354807165058996503285808160138122870173888533409121159271278011773064504477739962027673283416007156995216037350701392168397711528897989069421471356141845073440393741231431952116359729865540584807209
m: 10000000000000000000000000000000000000000
c6: 50
c0: 1
type: snfs

Factor base limits: 75600000/75600000
Large primes per side: 3
Large prime bits: 30/30
Sieved rational special-q in [0, 0)
Total raw relations: 114180420
Relations: 11214448 relations
Pruned matrix : 8325051 x 8325277
Polynomial selection time: 0.00 hours.
Total sieving time: 572.30 hours.
Total relation processing time: 0.65 hours.
Matrix solve time: 15.48 hours.
time per square root: 0.41 hours.
Prototype def-par.txt line would be: snfs,242,6,0,0,0,0,0,0,0,0,75600000,75600000,30,30,60,60,2.6,2.6,100000
total time: 588.83 hours.
Intel64 Family 6 Model 158 Stepping 12, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 16, speed: 3.60GHz

Fri Jun  7 05:15:56 2019  Msieve v. 1.53 (SVN unknown)
Fri Jun  7 05:15:56 2019  random seeds: 22a4c2e0 c1759bee
Fri Jun  7 05:15:56 2019  factoring 415354807165058996503285808160138122870173888533409121159271278011773064504477739962027673283416007156995216037350701392168397711528897989069421471356141845073440393741231431952116359729865540584807209 (201 digits)
Fri Jun  7 05:15:56 2019  searching for 15-digit factors
Fri Jun  7 05:15:57 2019  commencing number field sieve (201-digit input)
Fri Jun  7 05:15:57 2019  R0: -10000000000000000000000000000000000000000
Fri Jun  7 05:15:57 2019  R1: 1
Fri Jun  7 05:15:57 2019  A0: 1
Fri Jun  7 05:15:57 2019  A1: 0
Fri Jun  7 05:15:57 2019  A2: 0
Fri Jun  7 05:15:57 2019  A3: 0
Fri Jun  7 05:15:57 2019  A4: 0
Fri Jun  7 05:15:57 2019  A5: 0
Fri Jun  7 05:15:57 2019  A6: 50
Fri Jun  7 05:15:57 2019  skew 0.52, size 6.645e-12, alpha 0.520, combined = 4.740e-13 rroots = 0
Fri Jun  7 05:15:57 2019  
Fri Jun  7 05:15:57 2019  commencing square root phase
Fri Jun  7 05:15:57 2019  reading relations for dependency 1
Fri Jun  7 05:15:57 2019  read 4165727 cycles
Fri Jun  7 05:16:01 2019  cycles contain 11224198 unique relations
Fri Jun  7 05:17:19 2019  read 11224198 relations
Fri Jun  7 05:17:58 2019  multiplying 11224198 relations
Fri Jun  7 05:22:45 2019  multiply complete, coefficients have about 346.21 million bits
Fri Jun  7 05:22:47 2019  initial square root is modulo 1630261
Fri Jun  7 05:28:10 2019  GCD is 1, no factor found
Fri Jun  7 05:28:10 2019  reading relations for dependency 2
Fri Jun  7 05:28:11 2019  read 4162658 cycles
Fri Jun  7 05:28:15 2019  cycles contain 11214448 unique relations
Fri Jun  7 05:29:33 2019  read 11214448 relations
Fri Jun  7 05:30:12 2019  multiplying 11214448 relations
Fri Jun  7 05:34:58 2019  multiply complete, coefficients have about 345.93 million bits
Fri Jun  7 05:34:59 2019  initial square root is modulo 1611031
Fri Jun  7 05:40:27 2019  sqrtTime: 1470
Fri Jun  7 05:40:27 2019  p71 factor: 15592353903239108835137215317539351974826640933325992114920582425634147
Fri Jun  7 05:40:27 2019  p131 factor: 26638364530628979284424762934936118223765836591799063539692078197639318382044102272213377069538704511422436243531986461533847410947
Fri Jun  7 05:40:27 2019  elapsed time 00:24:31
Fri Jun 07 05:40:27 2019 -> Computing 1.55985e+09 scale for this machine...
Fri Jun 07 05:40:27 2019 -> procrels -speedtest> PIPE
Fri Jun 07 05:40:28 2019 -> Factorization summary written to s242-1559.txt

core i9 9900K

9320392460279778149115062455494747580032622600827467616483119172471740675307731497049104990866417469346774819520979218549493355165791332088935593923739544404490820735848512936888267764963<187>

21069894086411312555446537148252702894805039698169521849986262400104150456898656614716915938412995647452032573690014068504508517790992057576467476224082043342716345467539712297097429336410254137391686651405233452516135646828915291<230>

147785576424213852148901114641532493497375871635688955292633<60>
142570706805181337981380612179193359778913384908666167137330595576743738705864426635636115974810525886729545568405057020966022459594576896527501231080021291786625627417427<171>

Number: 1989
N = 21069894086411312555446537148252702894805039698169521849986262400104150456898656614716915938412995647452032573690014068504508517790992057576467476224082043342716345467539712297097429336410254137391686651405233452516135646828915291 (230 digits)
SNFS difficulty: 244 digits.
Divisors found:
Version: Msieve v. 1.53 (SVN unknown)
Total time: 2771.64 hours.
Factorization parameters were as follows:
n: 21069894086411312555446537148252702894805039698169521849986262400104150456898656614716915938412995647452032573690014068504508517790992057576467476224082043342716345467539712297097429336410254137391686651405233452516135646828915291
m: 10000000000000000000000000000000000000000
c6: 5000
c0: 1
type: snfs

Factor base limits: 81600000/81600000
Large primes per side: 3
Large prime bits: 30/30
Sieved rational special-q in [0, 0)
Total raw relations: 121852220
Relations: 12662808 relations
Pruned matrix : 9566335 x 9566583
Polynomial selection time: 0.00 hours.
Total sieving time: 2687.08 hours.
Total relation processing time: 1.16 hours.
Matrix solve time: 82.97 hours.
time per square root: 0.42 hours.
Prototype def-par.txt line would be: snfs,244,6,0,0,0,0,0,0,0,0,81600000,81600000,30,30,60,60,2.6,2.6,100000
total time: 2771.64 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 3.19GHz

Sat Aug  7 21:11:17 2021  Msieve v. 1.53 (SVN unknown)
Sat Aug  7 21:11:17 2021  random seeds: 24e30980 1fb9f77e
Sat Aug  7 21:11:17 2021  factoring 21069894086411312555446537148252702894805039698169521849986262400104150456898656614716915938412995647452032573690014068504508517790992057576467476224082043342716345467539712297097429336410254137391686651405233452516135646828915291 (230 digits)
Sat Aug  7 21:11:18 2021  searching for 15-digit factors
Sat Aug  7 21:11:19 2021  commencing number field sieve (230-digit input)
Sat Aug  7 21:11:19 2021  R0: -10000000000000000000000000000000000000000
Sat Aug  7 21:11:19 2021  R1: 1
Sat Aug  7 21:11:19 2021  A0: 1
Sat Aug  7 21:11:19 2021  A1: 0
Sat Aug  7 21:11:19 2021  A2: 0
Sat Aug  7 21:11:19 2021  A3: 0
Sat Aug  7 21:11:19 2021  A4: 0
Sat Aug  7 21:11:19 2021  A5: 0
Sat Aug  7 21:11:19 2021  A6: 5000
Sat Aug  7 21:11:19 2021  skew 0.24, size 3.588e-12, alpha -0.009, combined = 3.069e-13 rroots = 0
Sat Aug  7 21:11:19 2021  
Sat Aug  7 21:11:19 2021  commencing square root phase
Sat Aug  7 21:11:19 2021  reading relations for dependency 1
Sat Aug  7 21:11:20 2021  read 4781932 cycles
Sat Aug  7 21:11:26 2021  cycles contain 12662808 unique relations
Sat Aug  7 21:13:29 2021  read 12662808 relations
Sat Aug  7 21:14:26 2021  multiplying 12662808 relations
Sat Aug  7 21:24:11 2021  multiply complete, coefficients have about 469.94 million bits
Sat Aug  7 21:24:13 2021  initial square root is modulo 270552463
Sat Aug  7 21:36:34 2021  sqrtTime: 1515
Sat Aug  7 21:36:34 2021  p60 factor: 147785576424213852148901114641532493497375871635688955292633
Sat Aug  7 21:36:34 2021  p171 factor: 142570706805181337981380612179193359778913384908666167137330595576743738705864426635636115974810525886729545568405057020966022459594576896527501231080021291786625627417427
Sat Aug  7 21:36:34 2021  elapsed time 00:25:17
Sat Aug 07 21:36:34 2021 -> Computing 1.62834e+09 scale for this machine...
Sat Aug 07 21:36:34 2021 -> procrels -speedtest> PIPE
Sat Aug 07 21:36:36 2021 -> Factorization summary written to s244-1989.txt

core i7 4790S 3.2GHz windows 8

430785666899290926792283767134499900919296613163086837774733559065022788561778972490027311811281415044758630790836327293718283405274539705514918107644722444794816786855867731568835241713837697192139023150421739167894405817329645808024675403<240>

32791529993309729564171032589750571983<38>

13137101775586003166487292241507392504346237162431371792829625407965715714256175571475837579463367123586139789205967091697096078260869707699332039316829369110941630116307686431888607748883614037374892741<203>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2845424887
Step 1 took 102385ms
Step 2 took 28471ms
********** Factor found in step 2: 32791529993309729564171032589750571983
Found probable prime factor of 38 digits: 32791529993309729564171032589750571983
Composite cofactor 13137101775586003166487292241507392504346237162431371792829625407965715714256175571475837579463367123586139789205967091697096078260869707699332039316829369110941630116307686431888607748883614037374892741 has 203 digits

GMP-ECM 6.2.1

791837109604509037236931916261641985103960294119975991498836791285990976224298947015011647923882282327937755268488208753600879255926504846834947889199816927260259437510590821340960308373043964379999461550765468933854678886296942083450129307<240>

245413372480600966321947956987<30>
3226544265297119773304759211951763826021819399140952982037588215527358126681082388103583445262498413172845246542700820101782266516760444285294287356602724150053520923232283971982813149688905867852695740468411361<211>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=155248687
Step 1 took 165096ms
Step 2 took 83227ms
********** Factor found in step 2: 245413372480600966321947956987
Found probable prime factor of 30 digits: 245413372480600966321947956987
Probable prime cofactor 3226544265297119773304759211951763826021819399140952982037588215527358126681082388103583445262498413172845246542700820101782266516760444285294287356602724150053520923232283971982813149688905867852695740468411361 has 211 digits

GMP-ECM 6.2.3

82982531749358843836044021630820192117317833700579353780312246289618548264463734553498239810599297885147106921074442245783831559729112331074835947359947086660677822845995469685828035064065318798135962446576919405146507<218>

32308042016876316050753632051898331274784183476688450000632246582265257402249309397060268503391135651583384047205936377993492657574524140755651182541861003755940741300004693926708077220032926784446854839660765219619837152293161<227>

110529160303491829488347854573586021790125003457487510160073532505421603165269816964030104226662790730197256972034939251998089984822116112601176116665264542648420009017488668853499664129741596444520247557568445935145161569731755446569<234>

1053876135140936814989744100721721583929<40>
104878701222995773955653574819773251343903798021889743110640960784090528393672616411086739197865954208704887600268564529512526065523598025768261866582332541217700348039785712614893087009429346161<195>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2296566675
Step 1 took 179237ms
Step 2 took 52156ms
********** Factor found in step 2: 1053876135140936814989744100721721583929
Found probable prime factor of 40 digits: 1053876135140936814989744100721721583929

74102020452281632330351280804168645713587751928227507217318302244927436583288709574575001251560524322798824161772375641763154665554485803424487510804842834639701023588401658151525763475529852153686450966084014808944539042271101669549588803<239>

2380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952381<250>

663442949399282183521298110815228746204539909<45>

3588782401121643511623627829454646503879376593338106217703479995020761943503191317734019953361596246874806900970298415657298693157519199660042220855180036066722416815024494926219345306885299442331396174809<205>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1291565064
Step 1 took 107144ms
Step 2 took 29590ms
********** Factor found in step 2: 663442949399282183521298110815228746204539909
Found probable prime factor of 45 digits: 663442949399282183521298110815228746204539909
Composite cofactor 3588782401121643511623627829454646503879376593338106217703479995020761943503191317734019953361596246874806900970298415657298693157519199660042220855180036066722416815024494926219345306885299442331396174809 has 205 digits

GMP-ECM 6.2.1

3588782401121643511623627829454646503879376593338106217703479995020761943503191317734019953361596246874806900970298415657298693157519199660042220855180036066722416815024494926219345306885299442331396174809<205>

49857150579290660777795098926605797177133267<44>
71981297756160349534906814216808985237183867944507636274107787661110419233956617442414135937798718878383090512177224473875175912160156891463997286004834858689827<161>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1202569918
Step 1 took 407115ms
Step 2 took 102512ms
********** Factor found in step 2: 49857150579290660777795098926605797177133267
Found probable prime factor of 44 digits: 49857150579290660777795098926605797177133267

1463132227060023876277812567466245961774370317561861438463871613583118615048249653380040315355665775570953590346131187137479600625942601570066159454468297554484846825683673814628704137696367320285847303276360328314215424404132300607516856267<241>

106028124743325900992433481316009023710396070469003327479388128331<66>
1707528695694333149499910097715797779515918631222150914834577463295427<70>
8081546663917184719993826008924631202372338559306407606466509890510582574259371725993430467287775587382891<106>

Number: 1741
N = 1463132227060023876277812567466245961774370317561861438463871613583118615048249653380040315355665775570953590346131187137479600625942601570066159454468297554484846825683673814628704137696367320285847303276360328314215424404132300607516856267 (241 digits)
SNFS difficulty: 253 digits.
Divisors found:
Version: Msieve v. 1.53 (SVN unknown)
Total time: 990.06 hours.
Factorization parameters were as follows:
n: 1463132227060023876277812567466245961774370317561861438463871613583118615048249653380040315355665775570953590346131187137479600625942601570066159454468297554484846825683673814628704137696367320285847303276360328314215424404132300607516856267
m: 1000000000000000000000000000000000000000000
c6: 1
c0: 2
type: snfs

Factor base limits: 115300000/115300000
Large primes per side: 3
Large prime bits: 31/31
Sieved rational special-q in [0, 0)
Total raw relations: 163868549
Relations: 28792954 relations
Pruned matrix : 18274998 x 18275224
Polynomial selection time: 0.00 hours.
Total sieving time: 886.51 hours.
Total relation processing time: 1.06 hours.
Matrix solve time: 101.48 hours.
time per square root: 1.01 hours.
Prototype def-par.txt line would be: snfs,253,6,0,0,0,0,0,0,0,0,115300000,115300000,31,31,62,62,2.6,2.6,100000
total time: 990.06 hours.
Intel64 Family 6 Model 158 Stepping 12, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 16, speed: 3.60GHz

Thu Feb 20 14:22:30 2020  Msieve v. 1.53 (SVN unknown)
Thu Feb 20 14:22:30 2020  random seeds: d3049740 467d244d
Thu Feb 20 14:22:30 2020  factoring 1463132227060023876277812567466245961774370317561861438463871613583118615048249653380040315355665775570953590346131187137479600625942601570066159454468297554484846825683673814628704137696367320285847303276360328314215424404132300607516856267 (241 digits)
Thu Feb 20 14:22:31 2020  searching for 15-digit factors
Thu Feb 20 14:22:32 2020  commencing number field sieve (241-digit input)
Thu Feb 20 14:22:32 2020  R0: -1000000000000000000000000000000000000000000
Thu Feb 20 14:22:32 2020  R1: 1
Thu Feb 20 14:22:32 2020  A0: 2
Thu Feb 20 14:22:32 2020  A1: 0
Thu Feb 20 14:22:32 2020  A2: 0
Thu Feb 20 14:22:32 2020  A3: 0
Thu Feb 20 14:22:32 2020  A4: 0
Thu Feb 20 14:22:32 2020  A5: 0
Thu Feb 20 14:22:32 2020  A6: 1
Thu Feb 20 14:22:32 2020  skew 1.12, size 2.131e-12, alpha 1.888, combined = 2.035e-13 rroots = 0
Thu Feb 20 14:22:32 2020  
Thu Feb 20 14:22:32 2020  commencing square root phase
Thu Feb 20 14:22:32 2020  reading relations for dependency 1
Thu Feb 20 14:22:34 2020  read 9133616 cycles
Thu Feb 20 14:22:43 2020  cycles contain 28785626 unique relations
Thu Feb 20 14:25:48 2020  read 28785626 relations
Thu Feb 20 14:27:37 2020  multiplying 28785626 relations
Thu Feb 20 14:39:21 2020  multiply complete, coefficients have about 751.61 million bits
Thu Feb 20 14:39:25 2020  initial square root is modulo 5533951
Thu Feb 20 14:52:48 2020  found factor: 1707528695694333149499910097715797779515918631222150914834577463295427
Thu Feb 20 14:52:48 2020  reading relations for dependency 2
Thu Feb 20 14:52:49 2020  read 9138833 cycles
Thu Feb 20 14:52:59 2020  cycles contain 28792954 unique relations
Thu Feb 20 14:56:01 2020  read 28792954 relations
Thu Feb 20 14:57:49 2020  multiplying 28792954 relations
Thu Feb 20 15:09:32 2020  multiply complete, coefficients have about 751.79 million bits
Thu Feb 20 15:09:36 2020  initial square root is modulo 5554831
Thu Feb 20 15:22:51 2020  sqrtTime: 3619
Thu Feb 20 15:22:51 2020  p66 factor: 106028124743325900992433481316009023710396070469003327479388128331
Thu Feb 20 15:22:51 2020  p70 factor: 1707528695694333149499910097715797779515918631222150914834577463295427
Thu Feb 20 15:22:51 2020  p106 factor: 8081546663917184719993826008924631202372338559306407606466509890510582574259371725993430467287775587382891
Thu Feb 20 15:22:51 2020  elapsed time 01:00:21
Thu Feb 20 15:22:51 2020 -> Computing 1.58218e+09 scale for this machine...
Thu Feb 20 15:22:51 2020 -> procrels -speedtest> PIPE
Thu Feb 20 15:22:53 2020 -> Factorization summary written to s253-1741.txt

44058362280328590718716222322953098829798196306184720128782121554055959589693927806887651468203379282285704382175672870649096890557822865954905254467281770051734672341452216603700264491908130181005136519730565305676784771975249194670280403<239>

1289590292361222664826207376902705979166599303503241848008349110625426342552728105797192901932084698258668833823780886726082659050039341129291632741536989441680654482767112270131474821408807079657660541639487004937567722347<223>

1529051987767584097859327217125382262996941896024464831804281345565749235474006116207951070336391437308868501529051987767584097859327217125382262996941896024464831804281345565749235474006116207951070336391437308868501529051987767584097859327217125382263<253>

3194393810859187152180786699364184575926666063847<49>

478667339815662637200375473560560846347241508069351291153614609192114116072824989071376684789896587911988302184230330147376949781624477158163335327406157169063681379002995486583269985851487157043063718129<204>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1961850677
Step 1 took 116824ms
Step 2 took 29980ms
********** Factor found in step 2: 3194393810859187152180786699364184575926666063847
Found probable prime factor of 49 digits: 3194393810859187152180786699364184575926666063847
Composite cofactor 478667339815662637200375473560560846347241508069351291153614609192114116072824989071376684789896587911988302184230330147376949781624477158163335327406157169063681379002995486583269985851487157043063718129 has 204 digits

GMP-ECM 6.2.1

17390874845474443736462768801357346058044112754580168799063712462651775952733714783865656629263946938417930230957533743747769602075386835765792463113339706330278074230683483288412511900231441<191>

115882304252619641049905012297918605163<39>

150073602329851020090432578495887682298648503036416574305099591094659626191346007692853025267731028943634754803201457975053111637542250808157324675733107<153>

[2010-08-08 19:28:02 GMT] 16667_256: probable factor returned by justin@darkenedpath.com (none)!  Factor=115882304252619641049905012297918605163  Method=ECM  B1=1000000  Sigma=4269480100
[2010-08-08 19:28:02 GMT] 16667_256: Composite factor returned by justin@darkenedpath.com (none)!  Factor=150073602329851020090432578495887682298648503036416574305099591094659626191346007692853025267731028943634754803201457975053111637542250808157324675733107  Method=ECM  B1=1000000  Sigma=4269480100

GMP-ECM 6.2

Athlon 64x2 2600+, Ubuntu Linux 10.04

150073602329851020090432578495887682298648503036416574305099591094659626191346007692853025267731028943634754803201457975053111637542250808157324675733107<153>

1230409857861646552167611283219103703195137943<46>

121970416094249179601926618754919284534125420517446755466016341788472877724176805923005372299872913240937349<108>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=356041684
Step 1 took 190322ms
Step 2 took 35791ms
********** Factor found in step 2: 1230409857861646552167611283219103703195137943
Found probable prime factor of 46 digits: 1230409857861646552167611283219103703195137943
Composite cofactor 121970416094249179601926618754919284534125420517446755466016341788472877724176805923005372299872913240937349 has 108 digits

GMP-ECM 6.2.3

121970416094249179601926618754919284534125420517446755466016341788472877724176805923005372299872913240937349<108>

11342607056673397241463323081524395976780222241<47>
10753296441005435412300876310872019553521229217038769682901989<62>

Number: 108g
N=121970416094249179601926618754919284534125420517446755466016341788472877724176805923005372299872913240937349
  ( 108 digits)
Divisors found:
 r1=11342607056673397241463323081524395976780222241 (pp47)
 r2=10753296441005435412300876310872019553521229217038769682901989 (pp62)
Version: Msieve-1.40
Total time: 9.52 hours.
Scaled time: 17.97 units (timescale=1.888).
Factorization parameters were as follows:
name: 108g
n: 121970416094249179601926618754919284534125420517446755466016341788472877724176805923005372299872913240937349
skew: 27919.17
# norm 1.26e+015
c5: 14880
c4: -546701680
c3: 21969907338177
c2: 1314585072136258258
c1: -10090764279988909593728
c0: 434739024309031188361888
# alpha -6.39
Y1: 277076578207
Y0: -382589129227265671063
# Murphy_E 1.36e-009
# M 11259227194268848370178113774612702920812734785283274358353334869015323461653443175202732299859061257344828
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 282520 x 282745
Polynomial selection time: 1.20 hours.
Total sieving time: 8.14 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 9.52 hours.
 --------- CPU info (if available) ----------

485115059139983291282089670401523924249845432809847132031475130062167314043178692967164444423506558194321876768404023668770862557738589250374355098709862880447705116206938397347460884665717349118509132546882382742830783807<222>

877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877192982456140350877193<258>

18072217457309243636402356302212733694611114146542793052308458920023741141173027330566085693194965413173141731216002012668007126834150213612600452363640921099545287718763229210113664603156261962118398871642224742906486138004482019637233563<239>

117283313214778966420083119330238007561710563560971305446501868797013478469987304201194709510884366811437238497025740413589809521003655384480092812071509031725724837928962201909260016566162350587693602744861461331912873<219>

15539060285709153684043678594920739574402844632435518376465838355557087853669680699188433578199411589473810410309184782555049138522378674396520916169066395541434353336568831037513207336170490921155876156073646530690309210066388944606335210091<242>

12356915026878901246028746882388516699886902076235094048784074204687791706147266074054672021153392628001845202380647744723253181782576708544820848580557390033024053673387095341880478028990436847121000613260439848199273653987753<227>

43977930695416673830341742469827208575608951932995239569047869412093728167796734876144282239496302478999161363818118227037559122409489964382266013754510689804933312173299205716766219855807533885008134528795380030354220398468108261141512924132991594660560661<257>