59206631142687981053878034339846062759029011249259917110716400236826524570751924215512137359384251036116044997039668442865600947306098283007696862048549437537<158>

124141466019619851595478970162960620467203748722561182599049555651<66>
476928725276457668401732704761502335824130724124126988122364575060825584612231412476856510987<93>

Number: 33331_161
N=59206631142687981053878034339846062759029011249259917110716400236826524570751924215512137359384251036116044997039668442865600947306098283007696862048549437537
  ( 158 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=124141466019619851595478970162960620467203748722561182599049555651 (pp66)
 r2=476928725276457668401732704761502335824130724124126988122364575060825584612231412476856510987 (pp93)
Version: GGNFS-0.77.1-20060513-k8
Total time: 66.69 hours.
Scaled time: 133.18 units (timescale=1.997).
Factorization parameters were as follows:
name: 33331_161
n: 59206631142687981053878034339846062759029011249259917110716400236826524570751924215512137359384251036116044997039668442865600947306098283007696862048549437537
m: 100000000000000000000000000000000
c5: 10
c0: -7
skew: 1
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 4300001)
Primes: RFBsize:283146, AFBsize:283312, largePrimes:5877861 encountered
Relations: rels:6000830, finalFF:721765
Max relations in full relation-set: 28
Initial matrix: 566524 x 721765 with sparse part having weight 54341674.
Pruned matrix : 457362 x 460258 with weight 38665354.
Total sieving time: 63.28 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 3.03 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 66.69 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista and Cygwin)

24399381113601954464601318101902556137967969424530421893773531937366173816979720120115908479199970449421545694400908832051620423776210184232870562715436013<155>

1169754593539985501873975459730137<34>
1658788489453091556494815237092230110842898508302882101211<58>
12574566972385656776513038298834533485077579778495931368800832559<65>

Number: n
N=24399381113601954464601318101902556137967969424530421893773531937366173816979720120115908479199970449421545694400908832051620423776210184232870562715436013
  ( 155 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=1169754593539985501873975459730137 (pp34)
 r2=1658788489453091556494815237092230110842898508302882101211 (pp58)
 r3=12574566972385656776513038298834533485077579778495931368800832559 (pp65)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 42.87 hours.
Scaled time: 62.21 units (timescale=1.451).
Factorization parameters were as follows:
name: KA_3_162_1
n: 24399381113601954464601318101902556137967969424530421893773531937366173816979720120115908479199970449421545694400908832051620423776210184232870562715436013
skew: 0.37
deg: 5
c5: 1000
c0: -7
m: 100000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 2000001)
Primes: RFBsize:250150, AFBsize:249886, largePrimes:7373909 encountered
Relations: rels:6949423, finalFF:611249
Max relations in full relation-set: 28
Initial matrix: 500102 x 611249 with sparse part having weight 41187658.
Pruned matrix : 405991 x 408555 with weight 24372265.
Total sieving time: 38.29 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 4.21 hours.
Total square root time: 0.14 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 42.87 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

51792184773653319969285271375059174848183340563143297361801486678007691346322178986782793210838274087534397894208901070916797560531<131>

1228202233579388080561140656681357992984908574006806994870721<61>
42169101600404796800299427212024531725642501882767388509831772835550611<71>

Number: 33331_168
N=51792184773653319969285271375059174848183340563143297361801486678007691346322178986782793210838274087534397894208901070916797560531
  ( 131 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=1228202233579388080561140656681357992984908574006806994870721 (pp61)
 r2=42169101600404796800299427212024531725642501882767388509831772835550611 (pp71)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 77.82 hours.
Scaled time: 78.52 units (timescale=1.009).
Factorization parameters were as follows:
name: 33331_168
n: 51792184773653319969285271375059174848183340563143297361801486678007691346322178986782793210838274087534397894208901070916797560531
m: 2000000000000000000000000000000000
deg: 5
c5: 125
c0: -28
skew: 0.74
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.6
alambda: 2.6
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2350000, 4050001)
Primes: RFBsize:328964, AFBsize:328714, largePrimes:10042513 encountered
Relations: rels:10368230, finalFF:738492
Max relations in full relation-set: 28
Initial matrix: 657744 x 738492 with sparse part having weight 74336497.
Pruned matrix : 605532 x 608884 with weight 58986195.
Total sieving time: 73.14 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 4.31 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.6,2.6,100000
total time: 77.82 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600  2.4GHz

217094587261734213548195463421530504205064288592142575659125525045291823980927102240839454448872345229344019259079758194261<123>

580886318748190657139044362291165865116443036239<48>
373729902486897603627174044597757752130374463217098463335616446710076649499<75>

N=217094587261734213548195463421530504205064288592142575659125525045291823980927102240839454448872345229344019259079758194261
  ( 123 digits)
SNFS difficulty: 170 digits.

Divisors found:

 r1=580886318748190657139044362291165865116443036239 (pp48)

 r2=373729902486897603627174044597757752130374463217098463335616446710076649499 (pp75)

Version: GGNFS-0.77.1-20060513-prescott

Total time: 121.53 hours.

Scaled time: 145.71 units (timescale=1.199).

Factorization parameters were as follows:

n: 217094587261734213548195463421530504205064288592142575659125525045291823980927102240839454448872345229344019259079758194261
m: 10000000000000000000000000000000000
c5: 1
c0: -7
skew: 1.48
type: snfs



Factor base limits: 6000000/6000000

Large primes per side: 3

Large prime bits: 27/27

Max factor residue bits: 48/48

Sieved algebraic special-q in [3000000, 6700001)

Primes: RFBsize:412849, AFBsize:412321, largePrimes:6051704 encountered

Relations: rels:6370117, finalFF:976583

Max relations in full relation-set: 28

Initial matrix: 825236 x 976583 with sparse part having weight 54355320.

Pruned matrix : 696718 x 700908 with weight 37929732.

Total sieving time: 109.72 hours.

Total relation processing time: 0.13 hours.

Matrix solve time: 11.39 hours.

Time per square root: 0.29 hours.

Prototype def-par.txt line would be:

snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000
total time: 121.53 hours.

6392654275585257013050251073760484734035868446531489738443496605400817805956429239525447040560721507485657356110288987765692807048938347<136>

2729972876973264473407668709958466870137231132087382318011<58>
2341654867528510756347386808613808840739845101672864629948634132731214827586577<79>

Number: 33331_174
N=6392654275585257013050251073760484734035868446531489738443496605400817805956429239525447040560721507485657356110288987765692807048938347
  ( 136 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=2729972876973264473407668709958466870137231132087382318011 (pp58)
 r2=2341654867528510756347386808613808840739845101672864629948634132731214827586577 (pp79)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 128.43 hours.
Scaled time: 128.81 units (timescale=1.003).
Factorization parameters were as follows:
name: 33331_174
n: 6392654275585257013050251073760484734035868446531489738443496605400817805956429239525447040560721507485657356110288987765692807048938347
m: 50000000000000000000000000000000000
deg: 5
c5: 16
c0: -35
skew: 1.17
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.6
alambda: 2.6
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved rational special-q in [3100000, 6800001)
Primes: RFBsize:425648, AFBsize:427427, largePrimes:11270398 encountered
Relations: rels:12623695, finalFF:1249159
Max relations in full relation-set: 28
Initial matrix: 853139 x 1249159 with sparse part having weight 145713480.
Pruned matrix : 624977 x 629306 with weight 130223134.
Total sieving time: 120.48 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 7.55 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,6200000,6200000,27,27,53,53,2.6,2.6,100000
total time: 128.43 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

43613462603636490511891210578881489138067138564332038013494005329565130164379140553105932739317972671804332561375045248967451272858906087130975589544980744656260494489439<170>

235780448596050115929700871470352538873891461<45>
10421228205712331802636719386399164355520595269666467<53>
17749816682347588484905538626867074536389885930396621086863262194900258897<74>

N=43613462603636490511891210578881489138067138564332038013494005329565130164379140553105932739317972671804332561375045248967451272858906087130975589544980744656260494489439
  ( 170 digits)

SNFS difficulty: 175 digits.

Divisors found:

 r1=235780448596050115929700871470352538873891461 (pp45)

 r2=10421228205712331802636719386399164355520595269666467 (pp53)

 r3=17749816682347588484905538626867074536389885930396621086863262194900258897 (pp74)

Version: GGNFS-0.77.1-20060513-pentium-m

Total time: 110.75 hours.

Scaled time: 314.20 units (timescale=2.837).

Factorization parameters were as follows:

n: 43613462603636490511891210578881489138067138564332038013494005329565130164379140553105932739317972671804332561375045248967451272858906087130975589544980744656260494489439
m: 100000000000000000000000000000000000
c5: 1
c0: -7
skew: 1.48
type: snfs


Factor base limits: 7400000/7400000

Large primes per side: 3

Large prime bits: 27/27

Max factor residue bits: 48/48

Sieved algebraic special-q in [3700000, 9800001)

Primes: RFBsize:501962, AFBsize:501141, largePrimes:6403058 encountered

Relations: rels:6902001, finalFF:1178713

Max relations in full relation-set: 28

Initial matrix: 1003169 x 1178713 with sparse part having weight 65422220.

Pruned matrix : 846847 x 851926 with weight 46933518.

Total sieving time: 106.18 hours.

Total relation processing time: 0.11 hours.

Matrix solve time: 4.29 hours.

Time per square root: 0.18 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: 110.75 hours.

326999527612147731222641572472499224069727514746204071800154675557767813128741083432858570804521353128596104733003559387186751473036059587<138>

9810160821836736791938031972552761883752162516400034886751805889<64>
33332738733932831043433313145936936290424568084427445130954770232413937283<74>

9810160821836736791938031972552761883752162516400034886751805889

factor from factordb.com

119589959987736034434025996596350866243925197928257113643549886748595992594970973203236335110565840011123701360278857721306489048383855116056500531778982649753224017<165>

3596016300564765523471099095766935329279064217147958528879<58>
33256234119115105224374685975416250264021493547569524463162601884949321611141898288362136507115966179196223<107>

Sun Apr 27 12:50:56 2014
random seeds: 5245ba7c b6cbdb4c
factoring 119589959987736034434025996596350866243925197928257113643549886748595992594970973203236335110565840011123701360278857721306489048383855116056500531778982649753224017 (165 digits)
searching for 15-digit factors
commencing number field sieve (165-digit input)
R0: -1000000000000000000000000000000000000
R1: 1
A0: -7
A1: 0
A2: 0
A3: 0
A4: 0
A5: 1000
skew 0.37, size 1.033e-12, alpha -0.653, combined = 8.346e-11 rroots = 1

commencing relation filtering
estimated available RAM is 32004.3 MB
commencing duplicate removal, pass 1
read 10M relations
read 20M relations
read 30M relations
read 40M relations
error -15 reading relation 47050300
error -9 reading relation 48389787
error -9 reading relation 49030431
error -15 reading relation 49671354
read 50M relations
error -15 reading relation 50283768
error -15 reading relation 51778474
skipped 1 relations with b > 2^32
found 7939971 hash collisions in 52375165 relations
added 731038 free relations
commencing duplicate removal, pass 2
found 7848831 duplicates and 45257372 unique relations
memory use: 277.2 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 1378.0 MB
reading all ideals from disk
memory use: 1370.4 MB
keeping 49898315 ideals with weight <= 200, target excess is 376173
commencing in-memory singleton removal
begin with 45257371 relations and 49898315 unique ideals
reduce to 13185039 relations and 11118166 ideals in 17 passes
max relations containing the same ideal: 93
removing 2477052 relations and 2077052 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10707987 relations and 11118166 unique ideals
reduce to 10335576 relations and 8653419 ideals in 10 passes
max relations containing the same ideal: 77
removing 1844980 relations and 1444980 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 8490596 relations and 8653419 unique ideals
reduce to 8234431 relations and 6941720 ideals in 9 passes
max relations containing the same ideal: 65
removing 1646348 relations and 1246348 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 6588083 relations and 6941720 unique ideals
reduce to 6333046 relations and 5428403 ideals in 11 passes
max relations containing the same ideal: 55
removing 1549972 relations and 1149972 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 4783074 relations and 5428403 unique ideals
reduce to 4490486 relations and 3968245 ideals in 9 passes
max relations containing the same ideal: 44
removing 473850 relations and 387970 ideals in 85880 cliques
commencing in-memory singleton removal
begin with 4016636 relations and 3968245 unique ideals
reduce to 3979815 relations and 3542810 ideals in 8 passes
max relations containing the same ideal: 40
relations with 0 large ideals: 17363
relations with 1 large ideals: 136105
relations with 2 large ideals: 543574
relations with 3 large ideals: 1069392
relations with 4 large ideals: 1154217
relations with 5 large ideals: 727108
relations with 6 large ideals: 276576
relations with 7+ large ideals: 55480
commencing 2-way merge
reduce to 2230217 relation sets and 1793212 unique ideals
commencing full merge
memory use: 184.9 MB
found 1147553 cycles, need 1087412
weight of 1087412 cycles is about 76207913 (70.08/cycle)
distribution of cycle lengths:
1 relations: 116377
2 relations: 112132
3 relations: 115967
4 relations: 113573
5 relations: 108950
6 relations: 99670
7 relations: 90014
8 relations: 80064
9 relations: 68202
10+ relations: 182463
heaviest cycle: 17 relations
commencing cycle optimization
start with 6262990 relations
pruned 134358 relations
memory use: 216.0 MB
distribution of cycle lengths:
1 relations: 116377
2 relations: 114354
3 relations: 119681
4 relations: 116327
5 relations: 112207
6 relations: 101796
7 relations: 91574
8 relations: 80828
9 relations: 68066
10+ relations: 166202
heaviest cycle: 17 relations
RelProcTime: 559

commencing linear algebra
read 1087412 cycles
cycles contain 3654274 unique relations
read 3654274 relations
using 20 quadratic characters above 1073642250
building initial matrix
memory use: 451.6 MB
read 1087412 cycles
matrix is 1087218 x 1087412 (326.5 MB) with weight 98028573 (90.15/col)
sparse part has weight 73617806 (67.70/col)
filtering completed in 2 passes
matrix is 1084277 x 1084469 (326.1 MB) with weight 97910376 (90.28/col)
sparse part has weight 73563585 (67.83/col)
matrix starts at (0, 0)
matrix is 1084277 x 1084469 (326.1 MB) with weight 97910376 (90.28/col)
sparse part has weight 73563585 (67.83/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 1084229 x 1084469 (310.4 MB) with weight 77704559 (71.65/col)
sparse part has weight 70521684 (65.03/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (4 threads)
memory use: 245.0 MB
linear algebra at 0.1%, ETA 0h23m1084469 dimensions (0.1%, ETA 0h23m)    
checkpointing every 2440000 dimensions69 dimensions (0.2%, ETA 0h26m)    
linear algebra completed 1084125 of 1084469 dimensions (100.0%, ETA 0h 0m)    
lanczos halted after 17147 iterations (dim = 1084227)
recovered 36 nontrivial dependencies
BLanczosTime: 1504

commencing square root phase
reading relations for dependency 1
read 542883 cycles
cycles contain 1827304 unique relations
read 1827304 relations
multiplying 1827304 relations
multiply complete, coefficients have about 56.70 million bits
initial square root is modulo 137980201
Newton iteration failed to converge
algebraic square root failed
reading relations for dependency 2
read 541844 cycles
cycles contain 1824244 unique relations
read 1824244 relations
multiplying 1824244 relations
multiply complete, coefficients have about 56.60 million bits
initial square root is modulo 133817911
sqrtTime: 180
prp58 factor: 3596016300564765523471099095766935329279064217147958528879
prp107 factor: 33256234119115105224374685975416250264021493547569524463162601884949321611141898288362136507115966179196223
elapsed time 00:37:25

Msieve v. 1.52 (SVN 956M), ggnfs 64 bit experimental

I7 4770K

33247304641013343187925132896317681196694293632456458078655539497543830257507105301960240834394665418749312498546925601038373027028117261654827392224706716212728622634775774661<176>

390260975373901404701261090769277737521<39>

85192491022602890603074871079556893265640713223062077079739053971510944948117291577066638568041553214076814786971563038486205148193680341<137>

Input number is 33247304641013343187925132896317681196694293632456458078655539497543830257507105301960240834394665418749312498546925601038373027028117261654827392224706716212728622634775774661 (176 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4252600891
Step 1 took 31344ms
Step 2 took 21672ms
********** Factor found in step 2: 390260975373901404701261090769277737521
Found probable prime factor of 39 digits: 390260975373901404701261090769277737521
Composite cofactor 85192491022602890603074871079556893265640713223062077079739053971510944948117291577066638568041553214076814786971563038486205148193680341 has 137 digits

GMP-ECM 6.1.2

Pentium 4 2.26GHz, Windows XP and Cygwin

85192491022602890603074871079556893265640713223062077079739053971510944948117291577066638568041553214076814786971563038486205148193680341<137>

1398406315763760455452833995514456998160789625085769852664775399<64>
60921128617810726679416540881218572299064280043103514313442557132622348259<74>

1398406315763760455452833995514456998160789625085769852664775399

factor from factordb.com

3018198569816258400173556077454184435858874938187696222796832179195053960886237497260088717024326654738232137487622377575604121416352379<136>

32846518985090455829453956962412762592835871856050444397<56>
91887927947136971215773182483343978598486055413897511647221896862512893605692807<80>

Number: n
N=3018198569816258400173556077454184435858874938187696222796832179195053960886237497260088717024326654738232137487622377575604121416352379
  ( 136 digits)
Divisors found:

Tue May 15 17:08:04 2012  prp56 factor: 32846518985090455829453956962412762592835871856050444397
Tue May 15 17:08:04 2012  prp80 factor: 91887927947136971215773182483343978598486055413897511647221896862512893605692807
Tue May 15 17:08:04 2012  elapsed time 03:31:59 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.096).
Factorization parameters were as follows:
name: KA_33331_190
n: 3018198569816258400173556077454184435858874938187696222796832179195053960886237497260088717024326654738232137487622377575604121416352379
skew: 380605.32
# norm 4.51e+18
c5: 27120
c4: 84163034083
c3: -11650063158466759
c2: 3495567074395622648840
c1: 496753364412822728875255779
c0: -111362320975922957526939280896383
# alpha -5.38
Y1: 1097411276422471
Y0: -161916011715400936755178908
# Murphy_E 3.19e-11
# M 2442886175917311137542517874419443226405825703387718985294968553968929391682704769924900031413658202450820606788711108162919682706393971
type: gnfs
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 14600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2671041 hash collisions in 25499371 relations (23735096 unique)
Msieve: matrix is 1517818 x 1518044 (438.1 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:
gnfs,135,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,15000000,15000000,28,28,55,55,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.55 BogoMIPS (lpj=2830779)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830450)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462)
Total of 4 processors activated (22644.29 BogoMIPS).

870344743552921312131735380384170169804259467174947996901572712951600128811022045832354195496836296857185131030401141892303541432761516836819064031262783188420933531771934863399392499369<186>

47001744539769751968602827241659<32>
18517285944918351763957129214874859790396179101241321575840473185447049981337656206617185899986468939901439768367561621500456875804784348671181349229107691<155>

Input number is 870344743552921312131735380384170169804259467174947996901572712951600128811022045832354195496836296857185131030401141892303541432761516836819064031262783188420933531771934863399392499369 (186 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3558144791
Step 1 took 385016ms
Step 2 took 170313ms
********** Factor found in step 2: 47001744539769751968602827241659
Found probable prime factor of 32 digits: 47001744539769751968602827241659
Probable prime cofactor 18517285944918351763957129214874859790396179101241321575840473185447049981337656206617185899986468939901439768367561621500456875804784348671181349229107691 has 155 digits

GMP-ECM 6.1.2

Pentium 4 2.24GHz, Windows XP and Cygwin

34561709318778975283207096939896281684907334778357442703653749240570120610538827931367640927343764952626583823386119989065904370915031<134>

29260605544995388086468822651950635609<38>
1181168628435656755332100955486268041776709445145430749775935359970677708462298380422465750774959<97>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=3346586215
Step 1 took 11984ms
Step 2 took 11253ms
********** Factor found in step 2: 29260605544995388086468822651950635609
Found probable prime factor of 38 digits: 29260605544995388086468822651950635609
Probable prime cofactor 1181168628435656755332100955486268041776709445145430749775935359970677708462298380422465750774959 has 97 digits

GMP-ECM 6.2.1

275267642232663737302496997645480217346585202395788921666371425759418386091197561767243228018132302531264821816822088690175560566242669141057702703231326847<156>

67704288545514248426941515407<29>

4065734211912069651889418786821571190367441227208124424697089378343489919175810203932388911072813673779896556294261144324891921<127>

Input number is 275267642232663737302496997645480217346585202395788921666371425759418386091197561767243228018132302531264821816822088690175560566242669141057702703231326847 (156 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2999796699
Step 1 took 293750ms
Step 2 took 138235ms
********** Factor found in step 2: 67704288545514248426941515407
Found probable prime factor of 29 digits: 67704288545514248426941515407
Composite cofactor 4065734211912069651889418786821571190367441227208124424697089378343489919175810203932388911072813673779896556294261144324891921 has 127 digits

GMP-ECM 6.1.2

Pentium 4 2.24GHz, Windows XP and Cygwin

4065734211912069651889418786821571190367441227208124424697089378343489919175810203932388911072813673779896556294261144324891921<127>

626387909889728956763852710827083504962147256665153441<54>
6490760992861137179305883395615305710166843502658142341621150927500775281<73>

Number: ggg127
N=4065734211912069651889418786821571190367441227208124424697089378343489919175810203932388911072813673779896556294261144324891921
  ( 127 digits)
Divisors found:
 r1=626387909889728956763852710827083504962147256665153441 (pp54)
 r2=6490760992861137179305883395615305710166843502658142341621150927500775281 (pp73)
Version: Msieve-1.40
Total time: 84.00 hours.
Scaled time: 164.89 units (timescale=1.963).
Factorization parameters were as follows:
n: 4065734211912069651889418786821571190367441227208124424697089378343489919175810203932388911072813673779896556294261144324891921
Y0: -2735989085765834116170955
Y1: 61865141112103
c0: -54921674240889182763440062713728
c1: 1128196434846411834828845240
c2: 3564748946151397425370
c3: -9872558320291725
c4: -17117218002
c5: 26520
skew: 438177.99
type: gnfs
# selected mechanically
rlim: 7900000
alim: 7900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 180000Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved algebraic special-q in [3950000, 7730001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1246271 x 1246497
Total sieving time: 81.35 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 1.94 hours.
Time per square root: 0.54 hours.
Prototype def-par.txt line would be:
gnfs,126,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,7900000,7900000,28,28,53,53,2.5,2.5,100000
total time: 84.00 hours.
 --------- CPU info (if available) ----------

2541585882936705277620631532904113534119654713736297224297203234550193820488628378863604714864350912419901517707439686630192945253482669102162883<145>

7696067714948962015077813118481<31>
330244740180740509985313674081442941277435825012140259779350607572345764737082477798183352202923318056811684612243<114>

Input number is 2541585882936705277620631532904113534119654713736297224297203234550193820488628378863604714864350912419901517707439686630192945253482669102162883 (145 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4243873157
Step 1 took 21906ms
Step 2 took 18235ms
********** Factor found in step 2: 7696067714948962015077813118481
Found probable prime factor of 31 digits: 7696067714948962015077813118481
Probable prime cofactor 330244740180740509985313674081442941277435825012140259779350607572345764737082477798183352202923318056811684612243 has 114 digits

GMP-ECM 6.1.2

Pentium 4 2.26GHz, Windows XP and Cygwin

3710802360846557794830376220960422538954224497168607589497048379313582191756609397175824669425088697363039504889264149727837347090651991060667043571453444357870706049259447969107<178>

131756820851533508178999477542627628182189<42>
28164024730286804218629094617971264739488917251594346065752111872034756886847334063093811835902912825202223882039396639584500666138660863<137>

GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 3710802360846557794830376220960422538954224497168607589497048379313582191756609397175824669425088697363039504889264149727837347090651991060667043571453444357870706049259447969107 (178 digits)
Using B1=70000000, B2=582190291420, polynomial Dickson(30), sigma=1:480513293
Step 1 took 327899ms
Step 2 took 162974ms
********** Factor found in step 2: 131756820851533508178999477542627628182189
Found probable prime factor of 42 digits: 131756820851533508178999477542627628182189
Probable prime cofactor 28164024730286804218629094617971264739488917251594346065752111872034756886847334063093811835902912825202223882039396639584500666138660863 has 137 digits

946221978617149473468530856810148289784770249164699611671206284013913242682762297816964790835569196052012653131826689707236541080100416538701803<144>

50396888543643633585234793772717497475196017164756496618403119021771<68>
18775404711696091908864090082796356073320033280842780313308484663198342500193<77>

50396888543643633585234793772717497475196017164756496618403119021771

factor from factordb.com

20615842733466361232359042333986497036522635582646162609874758584384098523362764931471141286174358442070695798888052663766551548717529119355094316819715178803979<161>

113651646881442264198543362827<30>
181395019774523320920170919435768269521331834965340563969332201510128587969477158608084691969423902103319185187992483378214882686977<132>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4223742160
Step 1 took 13927ms
Step 2 took 7230ms
********** Factor found in step 2: 113651646881442264198543362827
Found probable prime factor of 30 digits: 113651646881442264198543362827
Probable prime cofactor has 132 digits

GMP-ECM 6.2.1

53013355498705584237776858650510210238596212416569524985583772626641174681826706754222323058575019698922256052847203206243310765674175877374449630120535517514951925403<167>

10610358077968123193638709904195047<35>

4996377606594178960305032917299180726132415750204707883244133191273381282972582184700185290354272608872569221264882363056206902082349<133>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4042664593
Step 1 took 13716ms
Step 2 took 7519ms
********** Factor found in step 2: 10610358077968123193638709904195047
Found probable prime factor of 35 digits: 10610358077968123193638709904195047
Composite cofactor 

GMP-ECM 6.2.1

4996377606594178960305032917299180726132415750204707883244133191273381282972582184700185290354272608872569221264882363056206902082349<133>

4587999570650147356774231952309279185249023649<46>
1089010042319197941814674558968741326938785715705358274243860464565699180298897115436301<88>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4169885631
Step 1 took 583777ms
Step 2 took 152715ms
********** Factor found in step 2: 4587999570650147356774231952309279185249023649
Found probable prime factor of 46 digits: 4587999570650147356774231952309279185249023649
Probable prime cofactor 1089010042319197941814674558968741326938785715705358274243860464565699180298897115436301 has 88 digits

GMP-ECM 6.2.1

904270356224899005756899319234965261245694273219594841583966416712510033038074564844937142433086321511352139304692735668659845601431559869663050089678224473464473132707504938948158788875514841<192>

70765328128102644663127795044579586624919036265284146124701<59>
12778437974426505965875295924993003715807453286589259479095270214225497932816508705869092687955252093011624493530892234487180231532141<134>

Number: n
N=904270356224899005756899319234965261245694273219594841583966416712510033038074564844937142433086321511352139304692735668659845601431559869663050089678224473464473132707504938948158788875514841
  ( 192 digits)
SNFS difficulty: 205 digits.
Divisors found:

Thu Jul 15 08:33:01 2021  p59 factor: 70765328128102644663127795044579586624919036265284146124701
Thu Jul 15 08:33:01 2021  p134 factor: 12778437974426505965875295924993003715807453286589259479095270214225497932816508705869092687955252093011624493530892234487180231532141
Thu Jul 15 08:33:01 2021  elapsed time 01:34:40 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 10^205-7 = 3(204)1
#
n: 904270356224899005756899319234965261245694273219594841583966416712510033038074564844937142433086321511352139304692735668659845601431559869663050089678224473464473132707504938948158788875514841
m: 100000000000000000000000000000000000000000
deg: 5
c5: 1
c0: -7
skew: 1.48
# Murphy_E = 1.4e-11
type: snfs
lss: 1
rlim: 18300000
alim: 18300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18300000/18300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 36350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10867192 hash collisions in 72523266 relations (64724305 unique)
Msieve: matrix is 1997097 x 1997326 (680.4 MB)

Sieving start time : 2021/07/14 19:47:07
Sieving end time  : 2021/07/15 06:56:21

Total sieving time: 11hrs 9min 14secs.

Total relation processing time: 1hrs 14min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 42sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18300000,18300000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118191] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved)
[    0.153502] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.23 BogoMIPS (lpj=12798472)
[    0.152038] smpboot: Total of 16 processors activated (102387.77 BogoMIPS)

31383277641392540185696064620113538395410924175810504400476668330110336106799380562057217990721296163178047881532198981530085153548043046115649281985242820652120055504498459<173>

8419497358659206911077204553089509127540554000888261811973423478186387438600168416021<85>
3727452638145406214867970067873010633079227253672411565250092095142680144825069272896879<88>

Number: 1079
N = 31383277641392540185696064620113538395410924175810504400476668330110336106799380562057217990721296163178047881532198981530085153548043046115649281985242820652120055504498459 (173 digits)
SNFS difficulty: 206 digits.
Divisors found:
Version: Msieve v. 1.53 (SVN unknown)
Total time: 84.55 hours.
Factorization parameters were as follows:
n: 31383277641392540185696064620113538395410924175810504400476668330110336106799380562057217990721296163178047881532198981530085153548043046115649281985242820652120055504498459
m: 100000000000000000000000000000000000000000
c5: 10
c0: -7
type: snfs
Factor base limits: 19000000/19000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 43272818
Relations: 7262882 relations
Pruned matrix : 4281190 x 4281417
Polynomial selection time: 0.00 hours.
Total sieving time: 75.43 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 8.61 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: snfs,206,5,0,0,0,0,0,0,0,0,19000000,19000000,29,29,58,58,2.6,2.6,100000
total time: 84.55 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.41GHz

Mon Apr 17 05:08:17 2017  Msieve v. 1.53 (SVN unknown)
Mon Apr 17 05:08:17 2017  random seeds: bf0afc60 23de6d41
Mon Apr 17 05:08:17 2017  factoring 31383277641392540185696064620113538395410924175810504400476668330110336106799380562057217990721296163178047881532198981530085153548043046115649281985242820652120055504498459 (173 digits)
Mon Apr 17 05:08:18 2017  searching for 15-digit factors
Mon Apr 17 05:08:18 2017  commencing number field sieve (173-digit input)
Mon Apr 17 05:08:18 2017  R0: -100000000000000000000000000000000000000000
Mon Apr 17 05:08:18 2017  R1: 1
Mon Apr 17 05:08:18 2017  A0: -7
Mon Apr 17 05:08:18 2017  A1: 0
Mon Apr 17 05:08:18 2017  A2: 0
Mon Apr 17 05:08:18 2017  A3: 0
Mon Apr 17 05:08:18 2017  A4: 0
Mon Apr 17 05:08:18 2017  A5: 10
Mon Apr 17 05:08:18 2017  skew 1.00, size 2.530e-14, alpha 1.724, combined = 8.350e-12 rroots = 1
Mon Apr 17 05:08:18 2017  
Mon Apr 17 05:08:18 2017  commencing square root phase
Mon Apr 17 05:08:18 2017  reading relations for dependency 1
Mon Apr 17 05:08:19 2017  read 2142427 cycles
Mon Apr 17 05:08:22 2017  cycles contain 7262882 unique relations
Mon Apr 17 05:09:46 2017  read 7262882 relations
Mon Apr 17 05:10:16 2017  multiplying 7262882 relations
Mon Apr 17 05:13:43 2017  multiply complete, coefficients have about 197.61 million bits
Mon Apr 17 05:13:44 2017  initial square root is modulo 12347611
Mon Apr 17 05:18:19 2017  sqrtTime: 601
Mon Apr 17 05:18:19 2017  p85 factor: 8419497358659206911077204553089509127540554000888261811973423478186387438600168416021
Mon Apr 17 05:18:19 2017  p88 factor: 3727452638145406214867970067873010633079227253672411565250092095142680144825069272896879
Mon Apr 17 05:18:19 2017  elapsed time 00:10:02
Mon Apr 17 05:18:19 2017 -> Computing 1.49237e+09 scale for this machine...
Mon Apr 17 05:18:19 2017 -> procrels -speedtest> PIPE
Mon Apr 17 05:18:21 2017 -> Factorization summary written to s206-1079.txt

7844798506350364390890619974425956869297812085696578883371380606089132600629152840209299224149427721948961740917684529272865626446384724608348434570458057784785797776784103300306731621598299247683823241<202>

1894904832363841708654936720234411577262109484929134576621581786833131223<73>
4139943269110878681913041512994527160505437740968307294571520268473274361574028518742477201880838434865365018944874567545447883167<130>

Number: 33331_207
N=7844798506350364390890619974425956869297812085696578883371380606089132600629152840209299224149427721948961740917684529272865626446384724608348434570458057784785797776784103300306731621598299247683823241
  ( 202 digits)
SNFS difficulty: 207 digits.
Divisors found:
 r1=1894904832363841708654936720234411577262109484929134576621581786833131223 (pp73)
 r2=4139943269110878681913041512994527160505437740968307294571520268473274361574028518742477201880838434865365018944874567545447883167 (pp130)
Version: Msieve v. 1.42
Total time: 56.54 hours.
Scaled time: 57.90 units (timescale=1.024).
Factorization parameters were as follows:
name: 33331_207
n: 7844798506350364390890619974425956869297812085696578883371380606089132600629152840209299224149427721948961740917684529272865626446384724608348434570458057784785797776784103300306731621598299247683823241
m: 200000000000000000000000000000000000000000
deg: 5
c5: 25
c0: -56
skew: 1.18
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [10000000, 24100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4023030 x 4023255
Total sieving time: 0.00 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 55.45 hours.
Time per square root: 0.68 hours.
Prototype def-par.txt line would be:
snfs,207.000,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 56.54 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: 3057976k/3145344k available (3786k kernel code, 496k absent, 86872k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4787.88 BogoMIPS (lpj=2393941)
Calibrating delay using timer specific routine.. 4787.76 BogoMIPS (lpj=2393880)
Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393886)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393891)
Total of 4 processors activated (19151.19 BogoMIPS).

Total time: 30days 3hours.

344342936891597553363557994684192447783063395319961091533302165493277473759788125914511998980810278020983458640534350676885026866099710628162594933416417890818040005312726049029259<180>

56741032151711545175579760772843525104702561746469425144282221887897676827765842350963<86>
6068675944612874658967564825360179348794427908647722658226816522447483804036887769587456121993<94>

Number: 1078
N = 344342936891597553363557994684192447783063395319961091533302165493277473759788125914511998980810278020983458640534350676885026866099710628162594933416417890818040005312726049029259 (180 digits)
SNFS difficulty: 208 digits.
Divisors found:
Version: Msieve v. 1.53 (SVN unknown)
Total time: 81.14 hours.
Factorization parameters were as follows:
n: 344342936891597553363557994684192447783063395319961091533302165493277473759788125914511998980810278020983458640534350676885026866099710628162594933416417890818040005312726049029259
m: 100000000000000000000000000000000000000000
c5: 1000
c0: -7
type: snfs
Factor base limits: 20500000/20500000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 42813650
Relations: 7128290 relations
Pruned matrix : 4231323 x 4231550
Polynomial selection time: 0.00 hours.
Total sieving time: 72.07 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 8.52 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: snfs,208,5,0,0,0,0,0,0,0,0,20500000,20500000,29,29,58,58,2.6,2.6,100000
total time: 81.14 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.41GHz

Mon Apr  3 16:51:40 2017  Msieve v. 1.53 (SVN unknown)
Mon Apr  3 16:51:40 2017  random seeds: 42c561b4 317e1e84
Mon Apr  3 16:51:40 2017  factoring 344342936891597553363557994684192447783063395319961091533302165493277473759788125914511998980810278020983458640534350676885026866099710628162594933416417890818040005312726049029259 (180 digits)
Mon Apr  3 16:51:41 2017  searching for 15-digit factors
Mon Apr  3 16:51:42 2017  commencing number field sieve (180-digit input)
Mon Apr  3 16:51:42 2017  R0: -100000000000000000000000000000000000000000
Mon Apr  3 16:51:42 2017  R1: 1
Mon Apr  3 16:51:42 2017  A0: -7
Mon Apr  3 16:51:42 2017  A1: 0
Mon Apr  3 16:51:42 2017  A2: 0
Mon Apr  3 16:51:42 2017  A3: 0
Mon Apr  3 16:51:42 2017  A4: 0
Mon Apr  3 16:51:42 2017  A5: 1000
Mon Apr  3 16:51:42 2017  skew 1.00, size 2.225e-14, alpha -0.653, combined = 7.541e-12 rroots = 1
Mon Apr  3 16:51:42 2017  
Mon Apr  3 16:51:42 2017  commencing square root phase
Mon Apr  3 16:51:42 2017  reading relations for dependency 1
Mon Apr  3 16:51:43 2017  read 2116589 cycles
Mon Apr  3 16:51:46 2017  cycles contain 7128290 unique relations
Mon Apr  3 16:53:10 2017  read 7128290 relations
Mon Apr  3 16:53:40 2017  multiplying 7128290 relations
Mon Apr  3 16:57:54 2017  multiply complete, coefficients have about 237.38 million bits
Mon Apr  3 16:57:55 2017  initial square root is modulo 330160861
Mon Apr  3 17:03:15 2017  sqrtTime: 693
Mon Apr  3 17:03:15 2017  p86 factor: 56741032151711545175579760772843525104702561746469425144282221887897676827765842350963
Mon Apr  3 17:03:15 2017  p94 factor: 6068675944612874658967564825360179348794427908647722658226816522447483804036887769587456121993
Mon Apr  3 17:03:15 2017  elapsed time 00:11:35
Mon Apr 03 17:03:15 2017 -> Computing 1.49121e+09 scale for this machine...
Mon Apr 03 17:03:15 2017 -> procrels -speedtest> PIPE
Mon Apr 03 17:03:18 2017 -> Factorization summary written to s208-1078.txt

1037538196556244034873473977948612799793744525351442923727727198742026296361108861434041516719520125412628947459591497845268787850981126206795207876329377369376803147<166>

57977717264183194282227043798972028131<38>
17895464766723446348110341918019434377643207851923513622484556364813973738210074725591806201995025019365407628459412347625033337<128>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3459590627
Step 1 took 19406ms
Step 2 took 11232ms
********** Factor found in step 2: 57977717264183194282227043798972028131
Found probable prime factor of 38 digits: 57977717264183194282227043798972028131
Probable prime cofactor 17895464766723446348110341918019434377643207851923513622484556364813973738210074725591806201995025019365407628459412347625033337 has 128 digits

GMP-ECM 6.3

15081620430257084758276175378311647467517236985077107071570512671346317665841944792228064432711338843689033796108189578675878681031405189110971372970497681864746877032414431031952147066673870543913<197>

4582399872810164693580459819487048530203<40>
3291205667088205201374749593220593463389015175495090036336435825170891581350644528488283939986100675418711397770529419567911874279292971429597699869468866571<157>

GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 15081620430257084758276175378311647467517236985077107071570512671346317665841944792228064432711338843689033796108189578675878681031405189110971372970497681864746877032414431031952147066673870543913 (197 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2009664172
Step 1 took 50107ms
Step 2 took 24165ms
********** Factor found in step 2: 4582399872810164693580459819487048530203
Found probable prime factor of 40 digits: 4582399872810164693580459819487048530203
Probable prime cofactor 3291205667088205201374749593220593463389015175495090036336435825170891581350644528488283939986100675418711397770529419567911874279292971429597699869468866571 has 157 digits

GMP-ECM

581284580601391361487807979703682561636640663137716390093253485689648685985551037669348759705481163605765179122141158646520124220454053387515457873453155582849230388003680244262567<180>

160369474887919636204031018406084819503<39>

3624658501922790512467951115480401502972941554455672341416503473005149627879493077221463061699864507739026825856828851938839116595131830375689<142>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=983877145
Step 1 took 15973ms
Step 2 took 8179ms
********** Factor found in step 2: 160369474887919636204031018406084819503
Found probable prime factor of 39 digits: 160369474887919636204031018406084819503
Composite cofactor has 142 digits

GMP-ECM 6.2.1

3624658501922790512467951115480401502972941554455672341416503473005149627879493077221463061699864507739026825856828851938839116595131830375689<142>

25944778565180928052792910166261047114212759<44>
139706665555714048450456121278199435970156709083690111782361972187434491639694660431695110194802271<99>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4244805371
Step 1 took 162657ms
Step 2 took 52038ms
********** Factor found in step 2: 25944778565180928052792910166261047114212759
Found probable prime factor of 44 digits: 25944778565180928052792910166261047114212759
Probable prime cofactor 139706665555714048450456121278199435970156709083690111782361972187434491639694660431695110194802271 has 99 digits

GMP-ECM 6.2.1 [powered by GMP 4.2.4]

17008128888320931383354727108483414056951585774063347834284200331023442461936324048949309012574574088508559087429890500055997434344403526624991929<146>

16330057924125944094464094405083<32>

1041522875628824850206331401809802733379697364432095474461905180421216813505211719464595804937315371883591311059963<115>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2876835942
Step 1 took 9988ms
Step 2 took 9713ms
********** Factor found in step 2: 16330057924125944094464094405083
Found probable prime factor of 32 digits: 16330057924125944094464094405083
Composite cofactor has 115 digits

GMP-ECM 6.2.1

64483972908470915927842284661545015678742174847006430900730540027416460221199132742310295916883781599045993897912349285037490665415494325472595519374047449743<158>

2525569041636493363519529237762956284955080609123432634573236829<64>
25532453021631602675794606507770361661212979469300318939398009649250377233018969561718974011867<95>

2525569041636493363519529237762956284955080609123432634573236829

factordb.com

27343470641687829440306205058708646260809292554720072374894949959856764088912004142558147179325018694921842790345354901648035769845684511024762991962010087370169217<164>

433863484929209919876539702968328677<36>
1900775990319664681800570355013072231533<40>
33156570212190046514874892319198589945307446371593378858435612467552870979885314484347137<89>

GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 27343470641687829440306205058708646260809292554720072374894949959856764088912004142558147179325018694921842790345354901648035769845684511024762991962010087370169217 (164 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1913327794
Step 1 took 36364ms
Step 2 took 19437ms
********** Factor found in step 2: 433863484929209919876539702968328677
Found probable prime factor of 36 digits: 433863484929209919876539702968328677
Composite cofactor 63023212580679030198935373890509581246555599213461897657327246288385273406799432498223950764048633697756663828049539279209671021 has 128 digits
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2217017898
Step 1 took 21996ms
********** Factor found in step 1: 1900775990319664681800570355013072231533
Found probable prime factor of 40 digits: 1900775990319664681800570355013072231533
Probable prime cofactor 33156570212190046514874892319198589945307446371593378858435612467552870979885314484347137 has 89 digits

GMP-ECM

316916490880626483904635783767195393156550970970540891577718662246598958126411544603412263587828353935172064936175063449881687033244624371918475235047156328452304146492661396589956368958285561431735999<201>

198969555885334324130493341475911049769038864718398970789<57>
380047586977201134866567674950029584057374320784430668661457<60>
4191024778170059748307847531182005292344548053873120809748382489514040429863673987363<85>

Number: n
N=316916490880626483904635783767195393156550970970540891577718662246598958126411544603412263587828353935172064936175063449881687033244624371918475235047156328452304146492661396589956368958285561431735999
  ( 201 digits)
SNFS difficulty: 218 digits.
Divisors found:

Tue Sep 10 02:10:37 2019  found factor: 198969555885334324130493341475911049769038864718398970789
Tue Sep 10 02:16:13 2019  found factor: 198969555885334324130493341475911049769038864718398970789
Tue Sep 10 02:21:46 2019  found factor: 198969555885334324130493341475911049769038864718398970789
Tue Sep 10 02:27:35 2019  found factor: 198969555885334324130493341475911049769038864718398970789
Tue Sep 10 02:33:11 2019  found factor: 198969555885334324130493341475911049769038864718398970789
Tue Sep 10 02:45:05 2019  found factor: 198969555885334324130493341475911049769038864718398970789
Tue Sep 10 02:51:00 2019  p57 factor: 198969555885334324130493341475911049769038864718398970789
Tue Sep 10 02:51:00 2019  p60 factor: 380047586977201134866567674950029584057374320784430668661457
Tue Sep 10 02:51:00 2019  p85 factor: 4191024778170059748307847531182005292344548053873120809748382489514040429863673987363
Tue Sep 10 02:51:00 2019  elapsed time 06:12:22 (Msieve 1.54 - dependency 8)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.078).
Factorization parameters were as follows:
#
# N = 10^218-7 = 3(217)1
#
n: 316916490880626483904635783767195393156550970970540891577718662246598958126411544603412263587828353935172064936175063449881687033244624371918475235047156328452304146492661396589956368958285561431735999
m: 10000000000000000000000000000000000000000000
deg: 5
c5: 1000
c0: -7
skew: 0.37
# Murphy_E = 2.863e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 30000000/30000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 55000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 11543139 hash collisions in 70671818 relations (60137751 unique)
Msieve: matrix is 3533910 x 3534136 (1233.9 MB)
Sieving start time: 2019/09/08 22:13:15
Sieving end time  : 2019/09/09 20:35:39

Total sieving time: 22hrs 22min 24secs.

Total relation processing time: 5hrs 5min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 46min 8sec.

Prototype def-par.txt line would be:
snfs,218,5,0,0,0,0,0,0,0,0,30000000,30000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.040000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284080K/16703460K available (12300K kernel code, 2478K rwdata, 4280K rodata, 2424K init, 2384K bss, 419380K reserved, 0K cma-reserved)
[    0.072549] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.52 BogoMIPS (lpj=11977052)
[    0.070220] smpboot: Total of 16 processors activated (95816.41 BogoMIPS)

11079863612563508995420449722707476169846025713884627714522677489716324376376863493534096548089718727879563887454645881445528607820835222150538685627096496553548153079368630204821900154438800228664422949<203>

4992647099779529695867971634292591108265431<43>

2219236287109654654858411423852647421360277533703024941097927358792755109548493752780184392104512201007858465764828664514149674691664123195498472094311230586979<160>

GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 11079863612563508995420449722707476169846025713884627714522677489716324376376863493534096548089718727879563887454645881445528607820835222150538685627096496553548153079368630204821900154438800228664422949 (203 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2337904364
Step 1 took 42807ms
Step 2 took 22012ms
********** Factor found in step 2: 4992647099779529695867971634292591108265431
Found probable prime factor of 43 digits: 4992647099779529695867971634292591108265431
Composite cofactor 2219236287109654654858411423852647421360277533703024941097927358792755109548493752780184392104512201007858465764828664514149674691664123195498472094311230586979 has 160 digits

GMP-ECM

2219236287109654654858411423852647421360277533703024941097927358792755109548493752780184392104512201007858465764828664514149674691664123195498472094311230586979<160>

51742545126525787290018673326701624952962974779610108405109<59>
42889971525037418256225495553498329808794145793915888448731552637641880476844693446950335752685165431<101>

Number: 33331_219
N = 2219236287109654654858411423852647421360277533703024941097927358792755109548493752780184392104512201007858465764828664514149674691664123195498472094311230586979 (160 digits)
SNFS difficulty: 220 digits.
Divisors found:
r1=51742545126525787290018673326701624952962974779610108405109 (pp59)
r2=42889971525037418256225495553498329808794145793915888448731552637641880476844693446950335752685165431 (pp101)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 72.81 hours.
Factorization parameters were as follows:
n: 2219236287109654654858411423852647421360277533703024941097927358792755109548493752780184392104512201007858465764828664514149674691664123195498472094311230586979
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: -70
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Relations: 7184612 relations
Pruned matrix : 6427891 x 6428116
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 34.87 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 36.66 hours.
time per square root: 0.88 hours.
Prototype def-par.txt line would be: snfs,220,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 72.81 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

551792056190131131870077813085672583328705578890759486785171491157686274367468186923695731165449343663508056923840796248616822376827549827753174707996030748977330604385971401195553270904616692538655853897060689<210>

77476249694845020562750596147483412974695143313<47>

7122080100204505747224819710423949091150121849705506671185365976532804666477436622749105748095626117818258516790041634821647360701035210135312672767352732995042753<163>

GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 551792056190131131870077813085672583328705578890759486785171491157686274367468186923695731165449343663508056923840796248616822376827549827753174707996030748977330604385971401195553270904616692538655853897060689 (210 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1856213639
Step 1 took 15241ms
Step 2 took 6474ms
********** Factor found in step 2: 77476249694845020562750596147483412974695143313
Found probable prime factor of 47 digits: 77476249694845020562750596147483412974695143313
Composite cofactor 7122080100204505747224819710423949091150121849705506671185365976532804666477436622749105748095626117818258516790041634821647360701035210135312672767352732995042753 has 163 digits

7122080100204505747224819710423949091150121849705506671185365976532804666477436622749105748095626117818258516790041634821647360701035210135312672767352732995042753<163>

5077282751707466618348907319582863089995724971<46>
1402734582353008264795467978062204213967044847814798391676495709925197535994486559368154242146630763464038701555039043<118>

GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 7122080100204505747224819710423949091150121849705506671185365976532804666477436622749105748095626117818258516790041634821647360701035210135312672767352732995042753 (163 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=803674275
Step 1 took 41979ms
********** Factor found in step 1: 5077282751707466618348907319582863089995724971
Found probable prime factor of 46 digits: 5077282751707466618348907319582863089995724971
Probable prime cofactor 1402734582353008264795467978062204213967044847814798391676495709925197535994486559368154242146630763464038701555039043 has 118 digits

128605268953245034619804089134908915174788446518895327311646911756077178462174513921237246691316850574343969637537538678946083984791978008463770877914026112707099754713359096122272747117908530441<195>

1910292367392025446273032520521<31>
67322296392159002608077001735383769255278175908017691909794326083950780784359539151524449036248700307859001497285459431557783174630917455064131629636899687902659521<164>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=859583623
Step 1 took 15768ms
Step 2 took 7621ms
********** Factor found in step 2: 1910292367392025446273032520521
Found probable prime factor of 31 digits: 1910292367392025446273032520521
Probable prime cofactor has 164 digits

GMP-ECM 6.2.1

10885331054317837011064517548146007631894457980921054037615043412068918053334979676466099035906851721409340820885267078426597342035625461443<140>

860214666824601272460880156994772578011619<42>
12654203042712555984328454204858279619330389192948935697292522058994841156413713475656590209377697<98>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 10885331054317837011064517548146007631894457980921054037615043412068918053334979676466099035906851721409340820885267078426597342035625461443 (140 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1082531224
Step 1 took 42901ms
Step 2 took 15132ms
********** Factor found in step 2: 860214666824601272460880156994772578011619
Found probable prime factor of 42 digits: 860214666824601272460880156994772578011619
Probable prime cofactor 12654203042712555984328454204858279619330389192948935697292522058994841156413713475656590209377697 has 98 digits

GMP-ECM

305121438845003807856719475462999088879384760307740126536741794667037026666460131891620604328008077571656160765538093337991543071098149065921079633697<150>

455008004406264291917701989010664065933805696996683<51>
670584771894626188448666193869654248892599684501961761950839507063535976401560101769430667491601859<99>

GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 305121438845003807856719475462999088879384760307740126536741794667037026666460131891620604328008077571656160765538093337991543071098149065921079633697 (150 digits)
[Sun Aug 15 05:28:09 2010]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1606218002
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
20     25      30      35      40      45      50      55      60      65
2       4       10      34      135     613     3133    17769   111196  751771
Step 1 took 426547ms
Using 19 small primes for NTT
Estimated memory usage: 434M
Initializing tables of differences for F took 281ms
Computing roots of F took 27000ms
Building F from its roots took 16516ms
Computing 1/F took 7437ms
Initializing table of differences for G took 250ms
Computing roots of G took 23500ms
Building G from its roots took 14594ms
Computing roots of G took 22656ms
Building G from its roots took 14562ms
Computing G * H took 4219ms
Reducing  G * H mod F took 4063ms
Computing roots of G took 22859ms
Building G from its roots took 14656ms
Computing G * H took 4266ms
Reducing  G * H mod F took 4047ms
Computing roots of G took 22703ms
Building G from its roots took 14547ms
Computing G * H took 4281ms
Reducing  G * H mod F took 4047ms
Computing polyeval(F,G) took 27969ms
Computing product of all F(g_i) took 140ms
Step 2 took 256125ms
********** Factor found in step 2: 455008004406264291917701989010664065933805696996683
Found probable prime factor of 51 digits: 455008004406264291917701989010664065933805696996683
Probable prime cofactor 670584771894626188448666193869654248892599684501961761950839507063535976401560101769430667491601859 has 99 digits

GMP-ECM

4739450579552711486082892455931562538754679929182316150603933729658409099125154689795922195081984392224578576416041857870528748524561580836313142858641173507789566915748856812754044376537508070869042621234354455197839<217>

2766072618248995915512967892212660490884209669746962080975694836870228687891487<79>
1713422326038902397807719807569941985254347185409757953834495098945874348921240251563756319814566840302191142689114270926046653350875882897<139>

prp79 = 2766072618248995915512967892212660490884209669746962080975694836870228687891487
prp139 = 1713422326038902397807719807569941985254347185409757953834495098945874348921240251563756319814566840302191142689114270926046653350875882897

ggnfs-lasieve4I14e on the RSALS grid + msieve

1923950779941985450129776301972227250764781801683133858982949285362847403934357410507038487415255375858006454838752923401801993590510827546469869<145>

89875252897502081322528223874139578641<38>
21406902544531901415351462430088886680130030138525132686272468825695973807571949096156849738401872062478109<107>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2832758251
Step 1 took 44394ms
Step 2 took 15690ms
********** Factor found in step 2: 89875252897502081322528223874139578641
Found probable prime factor of 38 digits: 89875252897502081322528223874139578641
Probable prime cofactor 21406902544531901415351462430088886680130030138525132686272468825695973807571949096156849738401872062478109 has 107 digits

873744680096297148682773101350625789046055169462343832336783838449501620403196472587877089636855109803057075361614526389754260182467596523230118748018237847456586029643885259499111882219916118763221395281132156416724137223<222>

32956293259679429768656597360038775832848835783382963927693572571464416807016576796602091743934862861<101>
26512225547078900430922693339363341417936176675074791272188321866779709375923927312831198488509643069134973196513414342243<122>

Sieving ~ 220 CPU days + 161 hrs Lanczos with Msieve 1.42

Thu Nov 12 23:11:10 2009  
Thu Nov 12 23:11:10 2009  
Thu Nov 12 23:11:10 2009  Msieve v. 1.42
Thu Nov 12 23:11:10 2009  random seeds: a862287b 37faa132
Thu Nov 12 23:11:10 2009  factoring 873744680096297148682773101350625789046055169462343832336783838449501620403196472587877089636855109803057075361614526389754260182467596523230118748018237847456586029643885259499111882219916118763221395281132156416724137223 (222 digits)
Thu Nov 12 23:11:12 2009  no P-1/P+1/ECM available, skipping
Thu Nov 12 23:11:12 2009  commencing number field sieve (222-digit input)
Thu Nov 12 23:11:12 2009  R0: -100000000000000000000000000000000000000
Thu Nov 12 23:11:12 2009  R1:  1
Thu Nov 12 23:11:12 2009  A0: -7
Thu Nov 12 23:11:12 2009  A1:  0
Thu Nov 12 23:11:12 2009  A2:  0
Thu Nov 12 23:11:12 2009  A3:  0
Thu Nov 12 23:11:12 2009  A4:  0
Thu Nov 12 23:11:12 2009  A5:  0
Thu Nov 12 23:11:12 2009  A6:  10
Thu Nov 12 23:11:12 2009  skew 1.00, size 2.833444e-11, alpha 1.102701, combined = 1.358953e-12
Thu Nov 12 23:11:12 2009  
Thu Nov 12 23:11:12 2009  commencing relation filtering
Thu Nov 12 23:11:12 2009  estimated available RAM is 7923.9 MB
Thu Nov 12 23:11:12 2009  commencing duplicate removal, pass 1
Thu Nov 12 23:12:12 2009  error -6 reading relation 9929150
Thu Nov 12 23:13:31 2009  error -11 reading relation 23649746
Thu Nov 12 23:14:21 2009  error -6 reading relation 32916487
Thu Nov 12 23:15:00 2009  error -15 reading relation 40211731
Thu Nov 12 23:15:15 2009  error -11 reading relation 42932952
Thu Nov 12 23:16:49 2009  error -11 reading relation 60575181
Thu Nov 12 23:17:56 2009  error -11 reading relation 69579752
Thu Nov 12 23:18:42 2009  error -6 reading relation 77528636
Thu Nov 12 23:19:27 2009  error -6 reading relation 85390839
Thu Nov 12 23:19:48 2009  found 13696326 hash collisions in 89183073 relations
Thu Nov 12 23:20:04 2009  commencing duplicate removal, pass 2
Thu Nov 12 23:21:33 2009  found 12651851 duplicates and 76531222 unique relations
Thu Nov 12 23:21:33 2009  memory use: 426.4 MB
Thu Nov 12 23:21:33 2009  reading ideals above 91291648
Thu Nov 12 23:21:33 2009  commencing singleton removal, initial pass
Thu Nov 12 23:30:15 2009  memory use: 1193.5 MB
Thu Nov 12 23:30:22 2009  reading all ideals from disk
Thu Nov 12 23:30:27 2009  memory use: 1232.8 MB
Thu Nov 12 23:30:34 2009  commencing in-memory singleton removal
Thu Nov 12 23:30:42 2009  begin with 76531222 relations and 70805144 unique ideals
Thu Nov 12 23:31:54 2009  reduce to 35000016 relations and 23227703 ideals in 19 passes
Thu Nov 12 23:31:54 2009  max relations containing the same ideal: 28
Thu Nov 12 23:31:58 2009  reading ideals above 720000
Thu Nov 12 23:31:58 2009  commencing singleton removal, initial pass
Thu Nov 12 23:37:32 2009  memory use: 596.8 MB
Thu Nov 12 23:37:32 2009  reading all ideals from disk
Thu Nov 12 23:37:41 2009  memory use: 1301.4 MB
Thu Nov 12 23:37:50 2009  keeping 33583094 ideals with weight <= 200, target excess is 181953
Thu Nov 12 23:37:59 2009  commencing in-memory singleton removal
Thu Nov 12 23:38:07 2009  begin with 35000019 relations and 33583094 unique ideals
Thu Nov 12 23:40:13 2009  reduce to 34608397 relations and 33189936 ideals in 15 passes
Thu Nov 12 23:40:13 2009  max relations containing the same ideal: 200
Thu Nov 12 23:40:50 2009  removing 3807449 relations and 3407449 ideals in 400000 cliques
Thu Nov 12 23:40:51 2009  commencing in-memory singleton removal
Thu Nov 12 23:40:59 2009  begin with 30800948 relations and 33189936 unique ideals
Thu Nov 12 23:42:28 2009  reduce to 30471081 relations and 29447150 ideals in 12 passes
Thu Nov 12 23:42:28 2009  max relations containing the same ideal: 190
Thu Nov 12 23:43:00 2009  removing 2782167 relations and 2382167 ideals in 400000 cliques
Thu Nov 12 23:43:02 2009  commencing in-memory singleton removal
Thu Nov 12 23:43:09 2009  begin with 27688914 relations and 29447150 unique ideals
Thu Nov 12 23:44:02 2009  reduce to 27489440 relations and 26862722 ideals in 8 passes
Thu Nov 12 23:44:02 2009  max relations containing the same ideal: 181
Thu Nov 12 23:44:31 2009  removing 2450585 relations and 2050585 ideals in 400000 cliques
Thu Nov 12 23:44:33 2009  commencing in-memory singleton removal
Thu Nov 12 23:44:39 2009  begin with 25038855 relations and 26862722 unique ideals
Thu Nov 12 23:45:51 2009  reduce to 24871942 relations and 24642751 ideals in 12 passes
Thu Nov 12 23:45:51 2009  max relations containing the same ideal: 166
Thu Nov 12 23:46:17 2009  removing 176554 relations and 158429 ideals in 18125 cliques
Thu Nov 12 23:46:18 2009  commencing in-memory singleton removal
Thu Nov 12 23:46:24 2009  begin with 24695388 relations and 24642751 unique ideals
Thu Nov 12 23:46:53 2009  reduce to 24694507 relations and 24483440 ideals in 5 passes
Thu Nov 12 23:46:53 2009  max relations containing the same ideal: 166
Thu Nov 12 23:47:06 2009  relations with 0 large ideals: 6717
Thu Nov 12 23:47:06 2009  relations with 1 large ideals: 1179
Thu Nov 12 23:47:06 2009  relations with 2 large ideals: 8333
Thu Nov 12 23:47:06 2009  relations with 3 large ideals: 89276
Thu Nov 12 23:47:06 2009  relations with 4 large ideals: 546118
Thu Nov 12 23:47:06 2009  relations with 5 large ideals: 2010219
Thu Nov 12 23:47:06 2009  relations with 6 large ideals: 4602823
Thu Nov 12 23:47:06 2009  relations with 7+ large ideals: 17429842
Thu Nov 12 23:47:06 2009  commencing 2-way merge
Thu Nov 12 23:47:41 2009  reduce to 15238596 relation sets and 15027528 unique ideals
Thu Nov 12 23:47:41 2009  commencing full merge
Thu Nov 12 23:54:19 2009  memory use: 1908.0 MB
Thu Nov 12 23:54:22 2009  found 8200658 cycles, need 8173728
Thu Nov 12 23:54:26 2009  weight of 8173728 cycles is about 572210818 (70.01/cycle)
Thu Nov 12 23:54:26 2009  distribution of cycle lengths:
Thu Nov 12 23:54:26 2009  1 relations: 1219496
Thu Nov 12 23:54:26 2009  2 relations: 1113256
Thu Nov 12 23:54:26 2009  3 relations: 1026751
Thu Nov 12 23:54:26 2009  4 relations: 875887
Thu Nov 12 23:54:26 2009  5 relations: 745030
Thu Nov 12 23:54:26 2009  6 relations: 624485
Thu Nov 12 23:54:26 2009  7 relations: 527618
Thu Nov 12 23:54:26 2009  8 relations: 437123
Thu Nov 12 23:54:26 2009  9 relations: 358263
Thu Nov 12 23:54:26 2009  10+ relations: 1245819
Thu Nov 12 23:54:26 2009  heaviest cycle: 24 relations
Thu Nov 12 23:54:29 2009  commencing cycle optimization
Thu Nov 12 23:54:48 2009  start with 43758680 relations
Thu Nov 12 23:56:16 2009  pruned 944312 relations
Thu Nov 12 23:56:16 2009  memory use: 1460.4 MB
Thu Nov 12 23:56:16 2009  distribution of cycle lengths:
Thu Nov 12 23:56:16 2009  1 relations: 1219496
Thu Nov 12 23:56:16 2009  2 relations: 1134660
Thu Nov 12 23:56:16 2009  3 relations: 1058293
Thu Nov 12 23:56:16 2009  4 relations: 890629
Thu Nov 12 23:56:16 2009  5 relations: 757989
Thu Nov 12 23:56:16 2009  6 relations: 628845
Thu Nov 12 23:56:16 2009  7 relations: 528837
Thu Nov 12 23:56:16 2009  8 relations: 434588
Thu Nov 12 23:56:16 2009  9 relations: 353251
Thu Nov 12 23:56:16 2009  10+ relations: 1167140
Thu Nov 12 23:56:16 2009  heaviest cycle: 24 relations
Thu Nov 12 23:56:34 2009  RelProcTime: 2722
Thu Nov 12 23:56:34 2009  
Thu Nov 12 23:56:34 2009  commencing linear algebra
Thu Nov 12 23:56:41 2009  read 8173728 cycles
Thu Nov 12 23:56:58 2009  cycles contain 24518900 unique relations
Thu Nov 12 23:59:32 2009  read 24518900 relations
Fri Nov 13 00:00:18 2009  using 20 quadratic characters above 1073741312
Fri Nov 13 00:02:20 2009  building initial matrix
Fri Nov 13 00:07:17 2009  memory use: 3126.0 MB
Fri Nov 13 00:07:22 2009  read 8173728 cycles
Fri Nov 13 00:07:31 2009  matrix is 8173551 x 8173728 (2459.0 MB) with weight 723523108 (88.52/col)
Fri Nov 13 00:07:31 2009  sparse part has weight 554695601 (67.86/col)
Fri Nov 13 00:09:44 2009  filtering completed in 2 passes
Fri Nov 13 00:09:46 2009  matrix is 8170702 x 8170878 (2458.8 MB) with weight 723445965 (88.54/col)
Fri Nov 13 00:09:46 2009  sparse part has weight 554678395 (67.88/col)
Fri Nov 13 00:10:31 2009  read 8170878 cycles
Fri Nov 13 00:10:36 2009  matrix is 8170702 x 8170878 (2458.8 MB) with weight 723445965 (88.54/col)
Fri Nov 13 00:10:36 2009  sparse part has weight 554678395 (67.88/col)
Fri Nov 13 00:10:36 2009  saving the first 48 matrix rows for later
Fri Nov 13 00:10:39 2009  matrix is 8170654 x 8170878 (2351.5 MB) with weight 572916754 (70.12/col)
Fri Nov 13 00:10:39 2009  sparse part has weight 534727936 (65.44/col)
Fri Nov 13 00:10:39 2009  matrix includes 64 packed rows
Fri Nov 13 00:10:39 2009  using block size 65536 for processor cache size 6144 kB
Fri Nov 13 00:11:12 2009  commencing Lanczos iteration (4 threads)
Fri Nov 13 00:11:12 2009  memory use: 2546.0 MB
Thu Nov 19 17:11:02 2009  lanczos halted after 129209 iterations (dim = 8170651)
Thu Nov 19 17:11:17 2009  recovered 34 nontrivial dependencies
Thu Nov 19 17:11:17 2009  BLanczosTime: 580483
Thu Nov 19 17:11:17 2009  
Thu Nov 19 17:11:17 2009  commencing square root phase
Thu Nov 19 17:11:17 2009  reading relations for dependency 1
Thu Nov 19 17:11:19 2009  read 4087359 cycles
Thu Nov 19 17:11:28 2009  cycles contain 14942110 unique relations
Thu Nov 19 17:13:16 2009  read 14942110 relations
Thu Nov 19 17:14:47 2009  multiplying 12262068 relations
Thu Nov 19 17:52:42 2009  multiply complete, coefficients have about 340.41 million bits
Thu Nov 19 17:52:45 2009  initial square root is modulo 1283017
Thu Nov 19 18:37:22 2009  sqrtTime: 5165
Thu Nov 19 18:37:22 2009  prp101 factor: 32956293259679429768656597360038775832848835783382963927693572571464416807016576796602091743934862861
Thu Nov 19 18:37:22 2009  prp122 factor: 26512225547078900430922693339363341417936176675074791272188321866779709375923927312831198488509643069134973196513414342243
Thu Nov 19 18:37:22 2009  elapsed time 163:26:12

280578534841400247077101665521038494114508523203089216804768644696596799508706325662644716430963325662695158730127417263713117309676961915907603846128804551600052924337183212568248202333871632443707<198>

9303129115468200415617210160203863<34>

30159587312927400531121782459578573768168220812002239640548897386508114122444066628011920137122898396501255946521973488448971446636365589871978276114626319714707389<164>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2889055076
Step 1 took 18352ms
Step 2 took 9099ms
********** Factor found in step 2: 9303129115468200415617210160203863
Found probable prime factor of 34 digits: 9303129115468200415617210160203863
Composite cofactor has 164 digits

GMP-ECM 6.2.1

89589197964140795710283249153762284498493741339912800407124456825403152644736082720888228211522982131926728878168034613166791365522998828866307832397013475917038278660417423839599309740333885349248901918491437161<212>

3446466606505865790664327219252139<34>

25994506314096885876158633451155888467704893043048927716803604951844879501178514759167485473233340925526490101735084270552747077029197942597564019662065791324161042138087343728699<179>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2658315989
Step 1 took 22491ms
Step 2 took 10133ms
********** Factor found in step 2: 3446466606505865790664327219252139
Found probable prime factor of 34 digits: 3446466606505865790664327219252139
Composite cofactor has 179 digits

GMP-ECM 6.2.1

25994506314096885876158633451155888467704893043048927716803604951844879501178514759167485473233340925526490101735084270552747077029197942597564019662065791324161042138087343728699<179>

630343154042788649987326773940208153<36>
41238658891395430836880245067293475995915874972994952068835029621613380854840892843958000887908690448175652381591110779644717921922216047284083<143>

GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 25994506314096885876158633451155888467704893043048927716803604951844879501178514759167485473233340925526490101735084270552747077029197942597564019662065791324161042138087343728699 (179 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2640659392
Step 1 took 35459ms
Step 2 took 19266ms
********** Factor found in step 2: 630343154042788649987326773940208153
Found probable prime factor of 36 digits: 630343154042788649987326773940208153
Probable prime cofactor 41238658891395430836880245067293475995915874972994952068835029621613380854840892843958000887908690448175652381591110779644717921922216047284083 has 143 digits
Input number is 10583097667424824747413308164403099681158663988832939355031623027885884692105362116580700806163173698057912057943240496758005851836609627020267266446538832049772559345735961462836049304582273685273170282122652760115791779 (221 digits)

3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331<232>

168246823169880052462745805495838843460563476562269104250566306134633<69>
19812162099296473470434709768672352783270919923852138622432507721061861866300680343683498026306721894208057069648180557882446799773744810131064180563112455108297307<164>

Wed Mar 10 23:55:12 2010  
Wed Mar 10 23:55:12 2010  
Wed Mar 10 23:55:12 2010  Msieve v. 1.44
Wed Mar 10 23:55:12 2010  random seeds: 26897e1a 69eaec02
Wed Mar 10 23:55:12 2010  factoring 3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331 (232 digits)
Wed Mar 10 23:55:15 2010  searching for 15-digit factors
Wed Mar 10 23:55:16 2010  commencing number field sieve (232-digit input)
Wed Mar 10 23:55:16 2010  R0: -100000000000000000000000000000000000000
Wed Mar 10 23:55:16 2010  R1:  1
Wed Mar 10 23:55:16 2010  A0: -7
Wed Mar 10 23:55:16 2010  A1:  0
Wed Mar 10 23:55:16 2010  A2:  0
Wed Mar 10 23:55:16 2010  A3:  0
Wed Mar 10 23:55:16 2010  A4:  0
Wed Mar 10 23:55:16 2010  A5:  0
Wed Mar 10 23:55:16 2010  A6:  10000
Wed Mar 10 23:55:16 2010  skew 0.30, size 1.155288e-11, alpha 0.213180, combined = 7.217449e-13
Wed Mar 10 23:55:16 2010  
Wed Mar 10 23:55:16 2010  commencing relation filtering
Wed Mar 10 23:55:16 2010  estimated available RAM is 32237.1 MB
Wed Mar 10 23:55:16 2010  commencing duplicate removal, pass 1
Wed Mar 10 23:55:30 2010  error -9 reading relation 1478372
Wed Mar 10 23:55:38 2010  error -15 reading relation 2340360
Wed Mar 10 23:55:38 2010  error -9 reading relation 2360912
Wed Mar 10 23:56:14 2010  error -11 reading relation 6085862
Wed Mar 10 23:56:59 2010  error -11 reading relation 10771949
Wed Mar 10 23:57:10 2010  error -9 reading relation 11987495
Wed Mar 10 23:57:12 2010  error -15 reading relation 12177631
Wed Mar 10 23:57:12 2010  error -15 reading relation 12191498
Wed Mar 10 23:57:12 2010  error -9 reading relation 12205405
Wed Mar 10 23:57:18 2010  error -11 reading relation 12812377
Wed Mar 10 23:57:31 2010  error -11 reading relation 14166811
Wed Mar 10 23:58:19 2010  error -11 reading relation 19166906
Wed Mar 10 23:58:22 2010  error -11 reading relation 19550147
Wed Mar 10 23:58:29 2010  error -9 reading relation 20274077
Wed Mar 10 23:58:34 2010  error -11 reading relation 20811350
Wed Mar 10 23:58:34 2010  error -11 reading relation 20811439
Wed Mar 10 23:59:35 2010  error -6 reading relation 27185530
Wed Mar 10 23:59:53 2010  error -11 reading relation 28986786
Thu Mar 11 00:00:14 2010  error -11 reading relation 31241829
Thu Mar 11 00:00:28 2010  error -11 reading relation 32706811
Thu Mar 11 00:00:36 2010  error -11 reading relation 33506927
Thu Mar 11 00:00:46 2010  error -11 reading relation 34491364
Thu Mar 11 00:00:49 2010  error -11 reading relation 34876761
Thu Mar 11 00:01:01 2010  error -6 reading relation 36091049
Thu Mar 11 00:01:03 2010  error -11 reading relation 36341957
Thu Mar 11 00:01:10 2010  error -11 reading relation 37024255
Thu Mar 11 00:01:10 2010  error -6 reading relation 37024256
Thu Mar 11 00:01:33 2010  error -11 reading relation 39415358
Thu Mar 11 00:01:49 2010  error -11 reading relation 41096910
Thu Mar 11 00:02:18 2010  error -11 reading relation 44120718
Thu Mar 11 00:02:23 2010  error -11 reading relation 44645324
Thu Mar 11 00:03:10 2010  error -6 reading relation 49495238
Thu Mar 11 00:03:18 2010  error -11 reading relation 50331933
Thu Mar 11 00:03:19 2010  error -11 reading relation 50407427
Thu Mar 11 00:03:28 2010  error -11 reading relation 51403516
Thu Mar 11 00:03:30 2010  error -11 reading relation 51604246
Thu Mar 11 00:03:34 2010  error -11 reading relation 52048173
Thu Mar 11 00:03:43 2010  error -15 reading relation 52922756
Thu Mar 11 00:03:47 2010  error -11 reading relation 53403125
Thu Mar 11 00:03:47 2010  error -11 reading relation 53403126
Thu Mar 11 00:03:53 2010  error -6 reading relation 53958256
Thu Mar 11 00:04:06 2010  error -6 reading relation 55309613
Thu Mar 11 00:04:08 2010  error -6 reading relation 55538973
Thu Mar 11 00:04:14 2010  error -11 reading relation 56185532
Thu Mar 11 00:04:21 2010  error -11 reading relation 56871870
Thu Mar 11 00:04:42 2010  error -11 reading relation 59037672
Thu Mar 11 00:04:46 2010  error -11 reading relation 59432573
Thu Mar 11 00:04:47 2010  error -11 reading relation 59621300
Thu Mar 11 00:04:47 2010  error -11 reading relation 59621337
Thu Mar 11 00:04:47 2010  error -11 reading relation 59621339
Thu Mar 11 00:04:58 2010  error -11 reading relation 60754569
Thu Mar 11 00:05:07 2010  error -11 reading relation 61610367
Thu Mar 11 00:05:08 2010  error -6 reading relation 61790015
Thu Mar 11 00:05:31 2010  error -11 reading relation 64094573
Thu Mar 11 00:05:36 2010  error -11 reading relation 64664377
Thu Mar 11 00:05:43 2010  error -11 reading relation 65384833
Thu Mar 11 00:06:00 2010  error -11 reading relation 67114684
Thu Mar 11 00:06:01 2010  error -15 reading relation 67220989
Thu Mar 11 00:06:02 2010  error -6 reading relation 67326901
Thu Mar 11 00:06:03 2010  error -11 reading relation 67418384
Thu Mar 11 00:06:05 2010  error -11 reading relation 67635696
Thu Mar 11 00:06:06 2010  error -11 reading relation 67718366
Thu Mar 11 00:06:15 2010  error -11 reading relation 68687807
Thu Mar 11 00:06:15 2010  error -11 reading relation 68687810
Thu Mar 11 00:06:20 2010  error -11 reading relation 69182114
Thu Mar 11 00:06:32 2010  error -11 reading relation 70396005
Thu Mar 11 00:06:33 2010  error -5 reading relation 70572578
Thu Mar 11 00:06:33 2010  error -9 reading relation 70582374
Thu Mar 11 00:06:41 2010  error -11 reading relation 71376020
Thu Mar 11 00:06:55 2010  error -11 reading relation 72779376
Thu Mar 11 00:07:00 2010  error -11 reading relation 73377977
Thu Mar 11 00:07:10 2010  error -15 reading relation 74384393
Thu Mar 11 00:07:20 2010  error -6 reading relation 75453523
Thu Mar 11 00:07:23 2010  error -11 reading relation 75738032
Thu Mar 11 00:07:24 2010  error -11 reading relation 75838876
Thu Mar 11 00:07:27 2010  error -11 reading relation 76128616
Thu Mar 11 00:07:34 2010  error -11 reading relation 76875886
Thu Mar 11 00:07:34 2010  error -11 reading relation 76875887
Thu Mar 11 00:07:37 2010  error -9 reading relation 77172301
Thu Mar 11 00:07:59 2010  error -11 reading relation 79465677
Thu Mar 11 00:08:00 2010  error -6 reading relation 79597413
Thu Mar 11 00:08:06 2010  error -11 reading relation 80170252
Thu Mar 11 00:08:08 2010  error -6 reading relation 80336139
Thu Mar 11 00:08:09 2010  error -6 reading relation 80503985
Thu Mar 11 00:08:09 2010  error -11 reading relation 80503987
Thu Mar 11 00:08:10 2010  error -11 reading relation 80580536
Thu Mar 11 00:08:10 2010  error -11 reading relation 80594900
Thu Mar 11 00:08:16 2010  error -9 reading relation 81187005
Thu Mar 11 00:08:20 2010  error -6 reading relation 81611861
Thu Mar 11 00:08:22 2010  error -11 reading relation 81793242
Thu Mar 11 00:08:26 2010  error -11 reading relation 82245175
Thu Mar 11 00:08:30 2010  error -11 reading relation 82653978
Thu Mar 11 00:08:34 2010  error -6 reading relation 83091429
Thu Mar 11 00:08:41 2010  error -11 reading relation 83786864
Thu Mar 11 00:08:41 2010  error -11 reading relation 83786865
Thu Mar 11 00:08:48 2010  error -9 reading relation 84496314
Thu Mar 11 00:08:56 2010  error -11 reading relation 85323525
Thu Mar 11 00:08:58 2010  error -15 reading relation 85588730
Thu Mar 11 00:08:59 2010  error -6 reading relation 85645711
Thu Mar 11 00:08:59 2010  error -11 reading relation 85645713
Thu Mar 11 00:09:01 2010  error -6 reading relation 85845919
Thu Mar 11 00:09:03 2010  error -11 reading relation 86050298
Thu Mar 11 00:09:08 2010  error -11 reading relation 86601027
Thu Mar 11 00:09:19 2010  error -11 reading relation 87683621
Thu Mar 11 00:09:19 2010  error -11 reading relation 87683622
Thu Mar 11 00:09:21 2010  error -11 reading relation 87934029
Thu Mar 11 00:09:21 2010  error -6 reading relation 87934032
Thu Mar 11 00:09:29 2010  error -6 reading relation 88718095
Thu Mar 11 00:09:29 2010  error -6 reading relation 88758837
Thu Mar 11 00:09:36 2010  error -11 reading relation 89459358
Thu Mar 11 00:09:40 2010  error -11 reading relation 89921101
Thu Mar 11 00:09:45 2010  error -11 reading relation 90409523
Thu Mar 11 00:09:54 2010  error -9 reading relation 91347508
Thu Mar 11 00:09:54 2010  error -15 reading relation 91358340
Thu Mar 11 00:09:54 2010  error -15 reading relation 91367654
Thu Mar 11 00:09:54 2010  error -9 reading relation 91379363
Thu Mar 11 00:09:56 2010  error -11 reading relation 91573560
Thu Mar 11 00:09:57 2010  error -6 reading relation 91669053
Thu Mar 11 00:09:58 2010  error -11 reading relation 91721933
Thu Mar 11 00:10:14 2010  error -11 reading relation 93374121
Thu Mar 11 00:10:24 2010  error -11 reading relation 94490077
Thu Mar 11 00:10:24 2010  error -11 reading relation 94491201
Thu Mar 11 00:10:24 2010  error -6 reading relation 94491205
Thu Mar 11 00:10:30 2010  error -9 reading relation 95081687
Thu Mar 11 00:10:32 2010  error -11 reading relation 95279399
Thu Mar 11 00:10:46 2010  error -9 reading relation 96762860
Thu Mar 11 00:10:52 2010  error -11 reading relation 97397189
Thu Mar 11 00:10:56 2010  error -11 reading relation 97719494
Thu Mar 11 00:10:59 2010  error -15 reading relation 98095717
Thu Mar 11 00:11:00 2010  error -6 reading relation 98204851
Thu Mar 11 00:11:03 2010  error -11 reading relation 98462291
Thu Mar 11 00:11:03 2010  error -11 reading relation 98490803
Thu Mar 11 00:11:04 2010  error -6 reading relation 98602730
Thu Mar 11 00:11:05 2010  error -11 reading relation 98641077
Thu Mar 11 00:11:07 2010  found 17931628 hash collisions in 98930769 relations
Thu Mar 11 00:11:39 2010  added 1218480 free relations
Thu Mar 11 00:11:39 2010  commencing duplicate removal, pass 2
Thu Mar 11 00:12:48 2010  found 17355505 duplicates and 82793744 unique relations
Thu Mar 11 00:12:48 2010  memory use: 660.8 MB
Thu Mar 11 00:12:48 2010  reading ideals above 720000
Thu Mar 11 00:12:48 2010  commencing singleton removal, initial pass
Thu Mar 11 00:34:13 2010  memory use: 2756.0 MB
Thu Mar 11 00:34:13 2010  reading all ideals from disk
Thu Mar 11 00:34:17 2010  memory use: 3147.9 MB
Thu Mar 11 00:34:46 2010  keeping 85695790 ideals with weight <= 200, target excess is 437083
Thu Mar 11 00:35:16 2010  commencing in-memory singleton removal
Thu Mar 11 00:35:41 2010  begin with 82793744 relations and 85695790 unique ideals
Thu Mar 11 00:39:44 2010  reduce to 41760404 relations and 39054641 ideals in 17 passes
Thu Mar 11 00:39:44 2010  max relations containing the same ideal: 130
Thu Mar 11 00:40:39 2010  removing 3688321 relations and 3288321 ideals in 400000 cliques
Thu Mar 11 00:40:42 2010  commencing in-memory singleton removal
Thu Mar 11 00:40:53 2010  begin with 38072083 relations and 39054641 unique ideals
Thu Mar 11 00:42:29 2010  reduce to 37833968 relations and 35524998 ideals in 9 passes
Thu Mar 11 00:42:29 2010  max relations containing the same ideal: 123
Thu Mar 11 00:43:18 2010  removing 2699134 relations and 2299134 ideals in 400000 cliques
Thu Mar 11 00:43:20 2010  commencing in-memory singleton removal
Thu Mar 11 00:43:29 2010  begin with 35134834 relations and 35524998 unique ideals
Thu Mar 11 00:45:08 2010  reduce to 34993187 relations and 33082573 ideals in 10 passes
Thu Mar 11 00:45:08 2010  max relations containing the same ideal: 116
Thu Mar 11 00:45:53 2010  removing 2373855 relations and 1973855 ideals in 400000 cliques
Thu Mar 11 00:45:55 2010  commencing in-memory singleton removal
Thu Mar 11 00:46:03 2010  begin with 32619332 relations and 33082573 unique ideals
Thu Mar 11 00:47:15 2010  reduce to 32501660 relations and 30989713 ideals in 8 passes
Thu Mar 11 00:47:15 2010  max relations containing the same ideal: 112
Thu Mar 11 00:47:56 2010  removing 2191917 relations and 1791918 ideals in 400000 cliques
Thu Mar 11 00:47:58 2010  commencing in-memory singleton removal
Thu Mar 11 00:48:06 2010  begin with 30309743 relations and 30989713 unique ideals
Thu Mar 11 00:49:13 2010  reduce to 30201957 relations and 29088825 ideals in 8 passes
Thu Mar 11 00:49:13 2010  max relations containing the same ideal: 105
Thu Mar 11 00:49:52 2010  removing 2066981 relations and 1666981 ideals in 400000 cliques
Thu Mar 11 00:49:54 2010  commencing in-memory singleton removal
Thu Mar 11 00:50:01 2010  begin with 28134976 relations and 29088825 unique ideals
Thu Mar 11 00:51:04 2010  reduce to 28033868 relations and 27319554 ideals in 8 passes
Thu Mar 11 00:51:04 2010  max relations containing the same ideal: 99
Thu Mar 11 00:51:40 2010  removing 1147533 relations and 940236 ideals in 207297 cliques
Thu Mar 11 00:51:41 2010  commencing in-memory singleton removal
Thu Mar 11 00:51:48 2010  begin with 26886335 relations and 27319554 unique ideals
Thu Mar 11 00:52:33 2010  reduce to 26853921 relations and 26346676 ideals in 6 passes
Thu Mar 11 00:52:33 2010  max relations containing the same ideal: 95
Thu Mar 11 00:53:18 2010  relations with 0 large ideals: 14907
Thu Mar 11 00:53:18 2010  relations with 1 large ideals: 4213
Thu Mar 11 00:53:18 2010  relations with 2 large ideals: 63112
Thu Mar 11 00:53:18 2010  relations with 3 large ideals: 466422
Thu Mar 11 00:53:18 2010  relations with 4 large ideals: 1888385
Thu Mar 11 00:53:18 2010  relations with 5 large ideals: 4593158
Thu Mar 11 00:53:18 2010  relations with 6 large ideals: 6956342
Thu Mar 11 00:53:18 2010  relations with 7+ large ideals: 12867382
Thu Mar 11 00:53:18 2010  commencing 2-way merge
Thu Mar 11 00:54:04 2010  reduce to 17405359 relation sets and 16898114 unique ideals
Thu Mar 11 00:54:04 2010  commencing full merge
Thu Mar 11 01:04:20 2010  memory use: 2099.7 MB
Thu Mar 11 01:04:23 2010  found 9373122 cycles, need 9304314
Thu Mar 11 01:04:30 2010  weight of 9304314 cycles is about 651663954 (70.04/cycle)
Thu Mar 11 01:04:30 2010  distribution of cycle lengths:
Thu Mar 11 01:04:30 2010  1 relations: 1161333
Thu Mar 11 01:04:30 2010  2 relations: 1245826
Thu Mar 11 01:04:30 2010  3 relations: 1208822
Thu Mar 11 01:04:30 2010  4 relations: 1063354
Thu Mar 11 01:04:30 2010  5 relations: 921430
Thu Mar 11 01:04:30 2010  6 relations: 776176
Thu Mar 11 01:04:30 2010  7 relations: 656620
Thu Mar 11 01:04:30 2010  8 relations: 543217
Thu Mar 11 01:04:30 2010  9 relations: 442171
Thu Mar 11 01:04:30 2010  10+ relations: 1285365
Thu Mar 11 01:04:30 2010  heaviest cycle: 21 relations
Thu Mar 11 01:04:34 2010  commencing cycle optimization
Thu Mar 11 01:05:04 2010  start with 49260177 relations
Thu Mar 11 01:07:25 2010  pruned 1130853 relations
Thu Mar 11 01:07:25 2010  memory use: 1614.6 MB
Thu Mar 11 01:07:25 2010  distribution of cycle lengths:
Thu Mar 11 01:07:25 2010  1 relations: 1161333
Thu Mar 11 01:07:25 2010  2 relations: 1270318
Thu Mar 11 01:07:25 2010  3 relations: 1249216
Thu Mar 11 01:07:25 2010  4 relations: 1085949
Thu Mar 11 01:07:25 2010  5 relations: 940384
Thu Mar 11 01:07:25 2010  6 relations: 783464
Thu Mar 11 01:07:25 2010  7 relations: 658772
Thu Mar 11 01:07:25 2010  8 relations: 540098
Thu Mar 11 01:07:25 2010  9 relations: 435114
Thu Mar 11 01:07:25 2010  10+ relations: 1179666
Thu Mar 11 01:07:25 2010  heaviest cycle: 21 relations
Thu Mar 11 01:07:50 2010  RelProcTime: 4354
Thu Mar 11 01:07:50 2010  
Thu Mar 11 01:07:50 2010  commencing linear algebra
Thu Mar 11 01:07:59 2010  read 9304314 cycles
Thu Mar 11 01:08:26 2010  cycles contain 26533025 unique relations
Thu Mar 11 01:13:51 2010  read 26533025 relations
Thu Mar 11 01:15:07 2010  using 20 quadratic characters above 1073741724
Thu Mar 11 01:18:28 2010  building initial matrix
Thu Mar 11 01:27:33 2010  memory use: 3368.5 MB
Thu Mar 11 01:27:38 2010  read 9304314 cycles
Thu Mar 11 01:27:46 2010  matrix is 9304136 x 9304314 (2763.5 MB) with weight 805036637 (86.52/col)
Thu Mar 11 01:27:46 2010  sparse part has weight 631382356 (67.86/col)
Thu Mar 11 01:32:05 2010  filtering completed in 2 passes
Thu Mar 11 01:32:08 2010  matrix is 9300237 x 9300415 (2763.2 MB) with weight 804935253 (86.55/col)
Thu Mar 11 01:32:08 2010  sparse part has weight 631353304 (67.88/col)
Thu Mar 11 01:32:40 2010  read 9300415 cycles
Thu Mar 11 01:32:48 2010  matrix is 9300237 x 9300415 (2763.2 MB) with weight 804935253 (86.55/col)
Thu Mar 11 01:32:48 2010  sparse part has weight 631353304 (67.88/col)
Thu Mar 11 01:32:49 2010  saving the first 48 matrix rows for later
Thu Mar 11 01:32:54 2010  matrix is 9300189 x 9300415 (2659.0 MB) with weight 646736800 (69.54/col)
Thu Mar 11 01:32:54 2010  sparse part has weight 604045043 (64.95/col)
Thu Mar 11 01:32:54 2010  matrix includes 64 packed rows
Thu Mar 11 01:32:54 2010  using block size 65536 for processor cache size 4096 kB
Thu Mar 11 01:33:47 2010  commencing Lanczos iteration (4 threads)
Thu Mar 11 01:33:47 2010  memory use: 2889.6 MB
Thu Mar 11 01:35:35 2010  linear algebra at 0.0%, ETA 340h20m
Thu Mar 11 01:43:26 2010  lanczos halted after 68 iterations (dim = 4301)
Thu Mar 11 01:43:26 2010  BLanczosTime: 2136
Thu Mar 11 01:43:27 2010  
Thu Mar 11 01:43:27 2010  commencing square root phase
Thu Mar 11 01:43:27 2010  reading relations for dependency 1
Thu Mar 11 01:43:27 2010  error: read_cycles can't open dependency file
Thu Mar 11 01:43:40 2010  
Thu Mar 11 01:43:40 2010  
Thu Mar 11 01:43:40 2010  Msieve v. 1.44
Thu Mar 11 01:43:40 2010  random seeds: f336f31e 48d59515
Thu Mar 11 01:43:40 2010  factoring 3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331 (232 digits)
Thu Mar 11 01:43:43 2010  searching for 15-digit factors
Thu Mar 11 01:43:44 2010  commencing number field sieve (232-digit input)
Thu Mar 11 01:43:44 2010  R0: -100000000000000000000000000000000000000
Thu Mar 11 01:43:44 2010  R1:  1
Thu Mar 11 01:43:44 2010  A0: -7
Thu Mar 11 01:43:44 2010  A1:  0
Thu Mar 11 01:43:44 2010  A2:  0
Thu Mar 11 01:43:44 2010  A3:  0
Thu Mar 11 01:43:44 2010  A4:  0
Thu Mar 11 01:43:44 2010  A5:  0
Thu Mar 11 01:43:44 2010  A6:  10000
Thu Mar 11 01:43:44 2010  skew 0.30, size 1.155288e-11, alpha 0.213180, combined = 7.217449e-13
Thu Mar 11 01:43:44 2010  
Thu Mar 11 01:43:44 2010  commencing relation filtering
Thu Mar 11 01:43:44 2010  estimated available RAM is 32237.1 MB
Thu Mar 11 01:43:44 2010  commencing duplicate removal, pass 1
Thu Mar 11 01:43:53 2010  
Thu Mar 11 01:43:53 2010  
Thu Mar 11 01:43:53 2010  Msieve v. 1.44
Thu Mar 11 01:43:53 2010  random seeds: 1d620e42 ce38f621
Thu Mar 11 01:43:53 2010  factoring 3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331 (232 digits)
Thu Mar 11 01:43:57 2010  searching for 15-digit factors
Thu Mar 11 01:43:58 2010  commencing number field sieve (232-digit input)
Thu Mar 11 01:43:58 2010  R0: -100000000000000000000000000000000000000
Thu Mar 11 01:43:58 2010  R1:  1
Thu Mar 11 01:43:58 2010  A0: -7
Thu Mar 11 01:43:58 2010  A1:  0
Thu Mar 11 01:43:58 2010  A2:  0
Thu Mar 11 01:43:58 2010  A3:  0
Thu Mar 11 01:43:58 2010  A4:  0
Thu Mar 11 01:43:58 2010  A5:  0
Thu Mar 11 01:43:58 2010  A6:  10000
Thu Mar 11 01:43:58 2010  skew 0.30, size 1.155288e-11, alpha 0.213180, combined = 7.217449e-13
Thu Mar 11 01:43:58 2010  
Thu Mar 11 01:43:58 2010  commencing linear algebra
Thu Mar 11 01:44:00 2010  read 9300415 cycles
Thu Mar 11 01:44:27 2010  cycles contain 26532679 unique relations
Thu Mar 11 01:49:14 2010  read 26532679 relations
Thu Mar 11 01:50:31 2010  using 20 quadratic characters above 1073741724
Thu Mar 11 01:53:52 2010  building initial matrix
Thu Mar 11 02:02:50 2010  memory use: 3368.4 MB
Thu Mar 11 02:02:54 2010  read 9300415 cycles
Thu Mar 11 02:03:02 2010  matrix is 9300237 x 9300415 (2763.2 MB) with weight 804935253 (86.55/col)
Thu Mar 11 02:03:02 2010  sparse part has weight 631353304 (67.88/col)
Thu Mar 11 02:05:06 2010  filtering completed in 1 passes
Thu Mar 11 02:05:09 2010  matrix is 9300237 x 9300415 (2763.2 MB) with weight 804935253 (86.55/col)
Thu Mar 11 02:05:09 2010  sparse part has weight 631353304 (67.88/col)
Thu Mar 11 02:05:35 2010  read 9300415 cycles
Thu Mar 11 02:05:43 2010  matrix is 9300237 x 9300415 (2763.2 MB) with weight 804935253 (86.55/col)
Thu Mar 11 02:05:43 2010  sparse part has weight 631353304 (67.88/col)
Thu Mar 11 02:05:43 2010  saving the first 48 matrix rows for later
Thu Mar 11 02:05:49 2010  matrix is 9300189 x 9300415 (2659.0 MB) with weight 646736800 (69.54/col)
Thu Mar 11 02:05:49 2010  sparse part has weight 604045043 (64.95/col)
Thu Mar 11 02:05:49 2010  matrix includes 64 packed rows
Thu Mar 11 02:05:49 2010  using block size 65536 for processor cache size 4096 kB
Thu Mar 11 02:06:40 2010  commencing Lanczos iteration (8 threads)
Thu Mar 11 02:06:40 2010  memory use: 3173.5 MB
Thu Mar 11 02:08:01 2010  linear algebra at 0.0%, ETA 253h55m
Thu Mar 11 16:32:25 2010  
Thu Mar 11 16:32:25 2010  
Thu Mar 11 16:32:25 2010  Msieve v. 1.44
Thu Mar 11 16:32:25 2010  random seeds: f42932b8 bd8d8744
Thu Mar 11 16:32:25 2010  factoring 3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331 (232 digits)
Thu Mar 11 16:32:28 2010  searching for 15-digit factors
Thu Mar 11 16:32:28 2010  commencing number field sieve (232-digit input)
Thu Mar 11 16:32:29 2010  R0: -100000000000000000000000000000000000000
Thu Mar 11 16:32:29 2010  R1:  1
Thu Mar 11 16:32:29 2010  A0: -7
Thu Mar 11 16:32:29 2010  A1:  0
Thu Mar 11 16:32:29 2010  A2:  0
Thu Mar 11 16:32:29 2010  A3:  0
Thu Mar 11 16:32:29 2010  A4:  0
Thu Mar 11 16:32:29 2010  A5:  0
Thu Mar 11 16:32:29 2010  A6:  10000
Thu Mar 11 16:32:29 2010  skew 0.30, size 1.155288e-11, alpha 0.213180, combined = 7.217449e-13
Thu Mar 11 16:32:29 2010  
Thu Mar 11 16:32:29 2010  commencing linear algebra
Thu Mar 11 16:32:50 2010  read 9300415 cycles
Thu Mar 11 16:33:10 2010  cycles contain 26532679 unique relations
Thu Mar 11 16:50:29 2010  read 26532679 relations
Thu Mar 11 16:52:11 2010  using 20 quadratic characters above 1073741724
Thu Mar 11 16:54:51 2010  building initial matrix
Thu Mar 11 17:07:30 2010  memory use: 3368.4 MB
Thu Mar 11 17:07:40 2010  read 9300415 cycles
Thu Mar 11 17:08:27 2010  matrix is 9300237 x 9300415 (2763.2 MB) with weight 804935253 (86.55/col)
Thu Mar 11 17:08:27 2010  sparse part has weight 631353304 (67.88/col)
Thu Mar 11 17:10:18 2010  filtering completed in 1 passes
Thu Mar 11 17:10:20 2010  matrix is 9300237 x 9300415 (2763.2 MB) with weight 804935253 (86.55/col)
Thu Mar 11 17:10:20 2010  sparse part has weight 631353304 (67.88/col)
Thu Mar 11 19:04:02 2010  
Thu Mar 11 19:04:02 2010  
Thu Mar 11 19:04:02 2010  Msieve v. 1.44
Thu Mar 11 19:04:02 2010  random seeds: 08cf8b5b 44b3334c
Thu Mar 11 19:04:02 2010  factoring 3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331 (232 digits)
Thu Mar 11 19:04:04 2010  searching for 15-digit factors
Thu Mar 11 19:04:04 2010  commencing number field sieve (232-digit input)
Thu Mar 11 19:04:04 2010  R0: -100000000000000000000000000000000000000
Thu Mar 11 19:04:04 2010  R1:  1
Thu Mar 11 19:04:04 2010  A0: -7
Thu Mar 11 19:04:04 2010  A1:  0
Thu Mar 11 19:04:04 2010  A2:  0
Thu Mar 11 19:04:04 2010  A3:  0
Thu Mar 11 19:04:04 2010  A4:  0
Thu Mar 11 19:04:04 2010  A5:  0
Thu Mar 11 19:04:04 2010  A6:  10000
Thu Mar 11 19:04:04 2010  skew 0.30, size 1.155288e-11, alpha 0.213180, combined = 7.217449e-13
Thu Mar 11 19:04:04 2010  
Thu Mar 11 19:04:04 2010  commencing linear algebra
Thu Mar 11 19:04:39 2010  read 9300415 cycles
Thu Mar 11 19:05:00 2010  cycles contain 26532679 unique relations
Thu Mar 11 19:10:06 2010  read 26532679 relations
Thu Mar 11 19:11:19 2010  using 20 quadratic characters above 1073741724
Thu Mar 11 19:13:57 2010  building initial matrix
Thu Mar 11 19:20:24 2010  memory use: 3368.4 MB
Thu Mar 11 19:20:33 2010  read 9300415 cycles
Thu Mar 11 19:21:02 2010  matrix is 9300237 x 9300415 (2763.2 MB) with weight 804935253 (86.55/col)
Thu Mar 11 19:21:02 2010  sparse part has weight 631353304 (67.88/col)
Thu Mar 11 19:22:58 2010  filtering completed in 1 passes
Thu Mar 11 19:23:00 2010  matrix is 9300237 x 9300415 (2763.2 MB) with weight 804935253 (86.55/col)
Thu Mar 11 19:23:00 2010  sparse part has weight 631353304 (67.88/col)
Thu Mar 11 19:24:24 2010  read 9300415 cycles
Thu Mar 11 19:24:51 2010  matrix is 9300237 x 9300415 (2763.2 MB) with weight 804935253 (86.55/col)
Thu Mar 11 19:24:51 2010  sparse part has weight 631353304 (67.88/col)
Thu Mar 11 19:24:51 2010  saving the first 48 matrix rows for later
Thu Mar 11 19:24:56 2010  matrix is 9300189 x 9300415 (2659.0 MB) with weight 646736800 (69.54/col)
Thu Mar 11 19:24:56 2010  sparse part has weight 604045043 (64.95/col)
Thu Mar 11 19:24:56 2010  matrix includes 64 packed rows
Thu Mar 11 19:24:56 2010  using block size 65536 for processor cache size 6144 kB
Thu Mar 11 19:25:29 2010  commencing Lanczos iteration (4 threads)
Thu Mar 11 19:25:29 2010  memory use: 2889.6 MB
Thu Mar 11 19:26:34 2010  linear algebra at 0.0%, ETA 208h 9m
Fri Mar 12 21:47:22 2010  
Fri Mar 12 21:47:22 2010  
Fri Mar 12 21:47:22 2010  Msieve v. 1.44
Fri Mar 12 21:47:22 2010  random seeds: d9ee5286 d0ec6360
Fri Mar 12 21:47:22 2010  factoring 3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331 (232 digits)
Fri Mar 12 21:47:24 2010  searching for 15-digit factors
Fri Mar 12 21:47:24 2010  commencing number field sieve (232-digit input)
Fri Mar 12 21:47:24 2010  R0: -100000000000000000000000000000000000000
Fri Mar 12 21:47:24 2010  R1:  1
Fri Mar 12 21:47:24 2010  A0: -7
Fri Mar 12 21:47:24 2010  A1:  0
Fri Mar 12 21:47:24 2010  A2:  0
Fri Mar 12 21:47:24 2010  A3:  0
Fri Mar 12 21:47:24 2010  A4:  0
Fri Mar 12 21:47:24 2010  A5:  0
Fri Mar 12 21:47:24 2010  A6:  10000
Fri Mar 12 21:47:24 2010  skew 0.30, size 1.155288e-11, alpha 0.213180, combined = 7.217449e-13
Fri Mar 12 21:47:24 2010  
Fri Mar 12 21:47:24 2010  commencing linear algebra
Fri Mar 12 21:47:28 2010  read 9300415 cycles
Fri Mar 12 21:48:22 2010  matrix is 9300237 x 9300415 (2763.2 MB) with weight 804935253 (86.55/col)
Fri Mar 12 21:48:22 2010  sparse part has weight 631353304 (67.88/col)
Fri Mar 12 21:48:22 2010  saving the first 48 matrix rows for later
Fri Mar 12 21:48:27 2010  matrix is 9300189 x 9300415 (2659.0 MB) with weight 646736800 (69.54/col)
Fri Mar 12 21:48:27 2010  sparse part has weight 604045043 (64.95/col)
Fri Mar 12 21:48:27 2010  matrix includes 64 packed rows
Fri Mar 12 21:48:27 2010  using block size 65536 for processor cache size 6144 kB
Fri Mar 12 21:48:59 2010  commencing Lanczos iteration (4 threads)
Fri Mar 12 21:48:59 2010  memory use: 2889.6 MB
Fri Mar 12 21:49:06 2010  restarting at iteration 17081 (dim = 1080023)
Fri Mar 12 21:50:11 2010  linear algebra at 11.6%, ETA 195h32m
Sun Mar 14 00:09:23 2010  
Sun Mar 14 00:09:23 2010  
Sun Mar 14 00:09:23 2010  Msieve v. 1.44
Sun Mar 14 00:09:23 2010  random seeds: 7af81bfd 813cd5a6
Sun Mar 14 00:09:23 2010  factoring 3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331 (232 digits)
Sun Mar 14 00:09:25 2010  searching for 15-digit factors
Sun Mar 14 00:09:26 2010  commencing number field sieve (232-digit input)
Sun Mar 14 00:09:26 2010  R0: -100000000000000000000000000000000000000
Sun Mar 14 00:09:26 2010  R1:  1
Sun Mar 14 00:09:26 2010  A0: -7
Sun Mar 14 00:09:26 2010  A1:  0
Sun Mar 14 00:09:26 2010  A2:  0
Sun Mar 14 00:09:26 2010  A3:  0
Sun Mar 14 00:09:26 2010  A4:  0
Sun Mar 14 00:09:26 2010  A5:  0
Sun Mar 14 00:09:26 2010  A6:  10000
Sun Mar 14 00:09:26 2010  skew 0.30, size 1.155288e-11, alpha 0.213180, combined = 7.217449e-13
Sun Mar 14 00:09:26 2010  
Sun Mar 14 00:09:26 2010  commencing linear algebra
Sun Mar 14 00:09:29 2010  read 9300415 cycles
Sun Mar 14 00:10:14 2010  matrix is 9300237 x 9300415 (2763.2 MB) with weight 804935253 (86.55/col)
Sun Mar 14 00:10:14 2010  sparse part has weight 631353304 (67.88/col)
Sun Mar 14 00:10:15 2010  saving the first 48 matrix rows for later
Sun Mar 14 00:10:19 2010  matrix is 9300189 x 9300415 (2659.0 MB) with weight 646736800 (69.54/col)
Sun Mar 14 00:10:19 2010  sparse part has weight 604045043 (64.95/col)
Sun Mar 14 00:10:19 2010  matrix includes 64 packed rows
Sun Mar 14 00:10:19 2010  using block size 65536 for processor cache size 6144 kB
Sun Mar 14 00:10:53 2010  commencing Lanczos iteration (4 threads)
Sun Mar 14 00:10:53 2010  memory use: 2889.6 MB
Sun Mar 14 00:11:00 2010  restarting at iteration 32263 (dim = 2040017)
Sun Mar 14 00:12:00 2010  linear algebra at 21.9%, ETA 159h24m
Sun Mar 14 19:33:59 2010  lanczos halted after 45421 iterations (dim = 2871968)
Sun Mar 14 19:34:04 2010  BLanczosTime: 69878
Sun Mar 14 19:34:05 2010  elapsed time 19:24:42
Sun Mar 14 20:38:27 2010  
Sun Mar 14 20:38:27 2010  
Sun Mar 14 20:38:27 2010  Msieve v. 1.44
Sun Mar 14 20:38:27 2010  random seeds: 66a35102 9dd848df
Sun Mar 14 20:38:27 2010  factoring 3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331 (232 digits)
Sun Mar 14 20:38:29 2010  searching for 15-digit factors
Sun Mar 14 20:38:29 2010  commencing number field sieve (232-digit input)
Sun Mar 14 20:38:29 2010  R0: -100000000000000000000000000000000000000
Sun Mar 14 20:38:29 2010  R1:  1
Sun Mar 14 20:38:29 2010  A0: -7
Sun Mar 14 20:38:29 2010  A1:  0
Sun Mar 14 20:38:29 2010  A2:  0
Sun Mar 14 20:38:29 2010  A3:  0
Sun Mar 14 20:38:29 2010  A4:  0
Sun Mar 14 20:38:29 2010  A5:  0
Sun Mar 14 20:38:29 2010  A6:  10000
Sun Mar 14 20:38:29 2010  skew 0.30, size 1.155288e-11, alpha 0.213180, combined = 7.217449e-13
Sun Mar 14 20:38:29 2010  
Sun Mar 14 20:38:29 2010  commencing linear algebra
Sun Mar 14 20:38:33 2010  read 9300415 cycles
Sun Mar 14 20:39:22 2010  matrix is 9300237 x 9300415 (2763.2 MB) with weight 804935253 (86.55/col)
Sun Mar 14 20:39:22 2010  sparse part has weight 631353304 (67.88/col)
Sun Mar 14 20:39:22 2010  saving the first 48 matrix rows for later
Sun Mar 14 20:39:26 2010  matrix is 9300189 x 9300415 (2659.0 MB) with weight 646736800 (69.54/col)
Sun Mar 14 20:39:26 2010  sparse part has weight 604045043 (64.95/col)
Sun Mar 14 20:39:26 2010  matrix includes 64 packed rows
Sun Mar 14 20:39:26 2010  using block size 65536 for processor cache size 6144 kB
Sun Mar 14 20:40:00 2010  commencing Lanczos iteration (4 threads)
Sun Mar 14 20:40:00 2010  memory use: 2889.6 MB
Sun Mar 14 20:40:06 2010  restarting at iteration 45421 (dim = 2871968)
Sun Mar 14 20:41:07 2010  linear algebra at 30.9%, ETA 143h 7m
Sun Mar 21 09:08:07 2010  lanczos halted after 147077 iterations (dim = 9300189)
Sun Mar 21 09:08:27 2010  recovered 39 nontrivial dependencies
Sun Mar 21 09:08:28 2010  BLanczosTime: 563399
Sun Mar 21 09:08:28 2010  elapsed time 156:30:01
Sun Mar 21 10:08:16 2010  
Sun Mar 21 10:08:16 2010  
Sun Mar 21 10:08:16 2010  Msieve v. 1.44
Sun Mar 21 10:08:16 2010  random seeds: ed054287 e8b76e4f
Sun Mar 21 10:08:16 2010  factoring 3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331 (232 digits)
Sun Mar 21 10:08:18 2010  searching for 15-digit factors
Sun Mar 21 10:08:18 2010  commencing number field sieve (232-digit input)
Sun Mar 21 10:08:18 2010  R0: -100000000000000000000000000000000000000
Sun Mar 21 10:08:18 2010  R1:  1
Sun Mar 21 10:08:18 2010  A0: -7
Sun Mar 21 10:08:18 2010  A1:  0
Sun Mar 21 10:08:18 2010  A2:  0
Sun Mar 21 10:08:18 2010  A3:  0
Sun Mar 21 10:08:18 2010  A4:  0
Sun Mar 21 10:08:18 2010  A5:  0
Sun Mar 21 10:08:18 2010  A6:  10000
Sun Mar 21 10:08:18 2010  skew 0.30, size 1.155288e-11, alpha 0.213180, combined = 7.217449e-13
Sun Mar 21 10:08:18 2010  
Sun Mar 21 10:08:18 2010  commencing square root phase
Sun Mar 21 10:08:19 2010  reading relations for dependency 1
Sun Mar 21 10:08:22 2010  read 4649334 cycles
Sun Mar 21 10:08:32 2010  cycles contain 13264702 unique relations
Sun Mar 21 10:12:36 2010  read 13264702 relations
Sun Mar 21 10:14:14 2010  multiplying 13264702 relations
Sun Mar 21 10:34:11 2010  multiply complete, coefficients have about 493.80 million bits
Sun Mar 21 10:34:17 2010  initial square root is modulo 724858747
Sun Mar 21 11:10:10 2010  reading relations for dependency 2
Sun Mar 21 11:10:13 2010  read 4647981 cycles
Sun Mar 21 11:10:23 2010  cycles contain 13257090 unique relations
Sun Mar 21 11:14:53 2010  read 13257090 relations
Sun Mar 21 11:16:30 2010  multiplying 13257090 relations
Sun Mar 21 11:36:24 2010  multiply complete, coefficients have about 493.51 million bits
Sun Mar 21 11:36:29 2010  initial square root is modulo 716405917
Sun Mar 21 12:12:17 2010  sqrtTime: 7439
Sun Mar 21 12:12:17 2010  prp69 factor: 168246823169880052462745805495838843460563476562269104250566306134633
Sun Mar 21 12:12:17 2010  prp164 factor: 19812162099296473470434709768672352783270919923852138622432507721061861866300680343683498026306721894208057069648180557882446799773744810131064180563112455108297307
Sun Mar 21 12:12:17 2010  elapsed time 02:04:01

ggnfs-lasieve4I14e on the RSALS grid, msieve

10583097667424824747413308164403099681158663988832939355031623027885884692105362116580700806163173698057912057943240496758005851836609627020267266446538832049772559345735961462836049304582273685273170282122652760115791779<221>

7626558046991690507213492449376664513676579<43>
1387663688156067545213052184992053716039274809458683360524457236287068677543773408987032843418028296648837651350135764110192554911921481326312924845058128945554874135675816188801<178>

GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 10583097667424824747413308164403099681158663988832939355031623027885884692105362116580700806163173698057912057943240496758005851836609627020267266446538832049772559345735961462836049304582273685273170282122652760115791779 (221 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1732253640
Step 1 took 77361ms
********** Factor found in step 1: 7626558046991690507213492449376664513676579
Found probable prime factor of 43 digits: 7626558046991690507213492449376664513676579
Probable prime cofactor 1387663688156067545213052184992053716039274809458683360524457236287068677543773408987032843418028296648837651350135764110192554911921481326312924845058128945554874135675816188801 has 178 digits

298338255914555923506071183507861213043348548584384975685432142963692234255198544109311136967093290372624481637280348459082908201318655091142337181896834631104746561651600584742981592529610071899519675407977564963155225394552343447<231>

1224575197274427441054266532226049874914612566769<49>
243625917443515137933623629043603250506269649568741431500106839740115097109423292764472218412892140179538773306030511494561969933244154109019336656298551706626063576853897497458573063<183>

GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 298338255914555923506071183507861213043348548584384975685432142963692234255198544109311136967093290372624481637280348459082908201318655091142337181896834631104746561651600584742981592529610071899519675407977564963155225394552343447 (231 digits)
[Mon Jan 25 15:48:10 2010]
Using MODMULN
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4078944977
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
20       25      30      35      40      45      50      55      60      65
2       5       14      55      246     1277    7553    49797   358989  2841353
Step 1 took 246731ms
Using 28 small primes for NTT
Estimated memory usage: 302M
Initializing tables of differences for F took 78ms
Computing roots of F took 5039ms
Building F from its roots took 9251ms
Computing 1/F took 4415ms
Initializing table of differences for G took 78ms
Computing roots of G took 4134ms
Building G from its roots took 8409ms
Computing roots of G took 4041ms
Building G from its roots took 8237ms
Computing G * H took 2355ms
Reducing  G * H mod F took 2356ms
Computing roots of G took 4181ms
Building G from its roots took 8034ms
Computing G * H took 2262ms
Reducing  G * H mod F took 2418ms
Computing roots of G took 4430ms
Building G from its roots took 8268ms
Computing G * H took 2636ms
Reducing  G * H mod F took 2465ms
Computing roots of G took 4477ms
Building G from its roots took 8174ms
Computing G * H took 3260ms
Reducing  G * H mod F took 3011ms
Computing polyeval(F,G) took 16973ms
Computing product of all F(g_i) took 78ms
Step 2 took 119622ms
********** Factor found in step 2: 1224575197274427441054266532226049874914612566769
Found probable prime factor of 49 digits: 1224575197274427441054266532226049874914612566769
Probable prime cofactor 243625917443515137933623629043603250506269649568741431500106839740115097109423292764472218412892140179538773306030511494561969933244154109019336656298551706626063576853897497458573063 has 183 digits

GMP-ECM

45300093224458082701241903027564547475984152408019873986114252440188106762633082015607731240631254427489574909082702672410694540750446749271216830390600665836455824935726091426025004016250263794595255970582443509509081<218>

1948213090587049235020765822335882605990453<43>
23252124443331781963427999598147285474955685923817411661931211799628582176185796021316269916864025827001650444580214673229284503128314385994624926980835121942430139171298371477<176>

GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 45300093224458082701241903027564547475984152408019873986114252440188106762633082015607731240631254427489574909082702672410694540750446749271216830390600665836455824935726091426025004016250263794595255970582443509509081 (218 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3445915075
Step 1 took 300660ms
Step 2 took 108421ms
********** Factor found in step 2: 1948213090587049235020765822335882605990453
Found probable prime factor of 43 digits: 1948213090587049235020765822335882605990453
Probable prime cofactor 23252124443331781963427999598147285474955685923817411661931211799628582176185796021316269916864025827001650444580214673229284503128314385994624926980835121942430139171298371477 has 176 digits

655910651494739422499393702993209144512629303563821831247496886789727200816768451173259249718652727628451888555479777616159264497433532084018260757948834347779787579738739052285414950508698812754141<198>

33064576717718812538576350565093<32>
19837261401965769198527981065990686460477593452013812421089201511447713289236940228265964568859059864261224949749765633813634285773219174280863253840646720592135734937<167>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1448815010
Step 1 took 18365ms
Step 2 took 9100ms
********** Factor found in step 2: 33064576717718812538576350565093
Found probable prime factor of 32 digits: 33064576717718812538576350565093
Probable prime cofactor has 167 digits

GMP-ECM 6.2.1

31422826074559306319292017709275608882675831280136284208135069759504050975375493631672394160771747181940717540035857813555350801550654876588535374667737072421472731927271996230262450087000872342123524526743703489265266183739311<227>

22519740152758645832808232049748923551502462385515808273304698791718741289270139500691463444678648657761584436797552856087465036447129535374091515392654639382045786964744153630726956965469167<191>

34150314013804870122640555031781846722662169<44>
659429958496290865752762479761521557163636943674206141048493839585181044938697765907829155111117867054480209748938554664394454428126136755314691143<147>

GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 22519740152758645832808232049748923551502462385515808273304698791718741289270139500691463444678648657761584436797552856087465036447129535374091515392654639382045786964744153630726956965469167 (191 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=243836328
Step 1 took 53212ms
Step 2 took 21388ms
********** Factor found in step 2: 34150314013804870122640555031781846722662169
Found probable prime factor of 44 digits: 34150314013804870122640555031781846722662169
Probable prime cofactor 659429958496290865752762479761521557163636943674206141048493839585181044938697765907829155111117867054480209748938554664394454428126136755314691143 has 147 digits

42138019749493097968389514864260507642197870791898137582752215046240382579459506995007384608243023419936544950663929178175540514686984999598535555103095931894277559139<167>

31324445949473317700096188175894333<35>

1345211973340636127176790697467331273618032323820765030845459707299234006881987792073875316307596244915355092769177331580459819511583<133>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3217281827
Step 1 took 13848ms
Step 2 took 7475ms
********** Factor found in step 2: 31324445949473317700096188175894333
Found probable prime factor of 35 digits: 31324445949473317700096188175894333
Composite cofactor 

GMP-ECM 6.2.1

1345211973340636127176790697467331273618032323820765030845459707299234006881987792073875316307596244915355092769177331580459819511583<133>

489315672447162785103946339787661019447<39>
222569895610081321713872192753638833118459541<45>
12351940072441846049300946746600885270935752027829<50>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 
1345211973340636127176790697467331273618032323820765030845459707299234006881987792073875316307596244915355092769177331580459819511583 (133 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3233337030
Step 1 took 61137ms
Step 2 took 34851ms
********** Factor found in step 2: 489315672447162785103946339787661019447
Found probable prime factor of 39 digits: 489315672447162785103946339787661019447
Composite cofactor 2749170012505361993924940218503304494061357616514900432821055688206426386787140909263442566489 
has 94 digits

Tue May 12 16:49:26 2009  Msieve v. 1.41
Tue May 12 16:49:26 2009  random seeds: f1649488 eee56b85
Tue May 12 16:49:26 2009  factoring 2749170012505361993924940218503304494061357616514900432821055688206426386787140909263442566489 (94 digits)
Tue May 12 16:49:27 2009  searching for 15-digit factors
Tue May 12 16:49:28 2009  commencing quadratic sieve (94-digit input)
Tue May 12 16:49:28 2009  using multiplier of 1
Tue May 12 16:49:28 2009  using 32kb Intel Core sieve core
Tue May 12 16:49:28 2009  sieve interval: 36 blocks of size 32768
Tue May 12 16:49:28 2009  processing polynomials in batches of 6
Tue May 12 16:49:28 2009  using a sieve bound of 2018827 (75294 primes)
Tue May 12 16:49:28 2009  using large prime bound of 270522818 (28 bits)
Tue May 12 16:49:28 2009  using double large prime bound of 1506492608811942 (42-51 bits)
Tue May 12 16:49:28 2009  using trial factoring cutoff of 51 bits
Tue May 12 16:49:28 2009  polynomial 'A' values have 12 factors
Tue May 12 19:42:45 2009  75640 relations (18903 full + 56737 combined from 1060241 partial), need 75390
Tue May 12 19:42:48 2009  begin with 1079144 relations
Tue May 12 19:42:49 2009  reduce to 194509 relations in 11 passes
Tue May 12 19:42:49 2009  attempting to read 194509 relations
Tue May 12 19:42:52 2009  recovered 194509 relations
Tue May 12 19:42:52 2009  recovered 174919 polynomials
Tue May 12 19:42:53 2009  attempting to build 75640 cycles
Tue May 12 19:42:53 2009  found 75640 cycles in 6 passes
Tue May 12 19:42:53 2009  distribution of cycle lengths:
Tue May 12 19:42:53 2009     length 1 : 18903
Tue May 12 19:42:53 2009     length 2 : 13565
Tue May 12 19:42:53 2009     length 3 : 12840
Tue May 12 19:42:53 2009     length 4 : 10239
Tue May 12 19:42:53 2009     length 5 : 7608
Tue May 12 19:42:53 2009     length 6 : 5067
Tue May 12 19:42:53 2009     length 7 : 3115
Tue May 12 19:42:53 2009     length 9+: 4303
Tue May 12 19:42:53 2009  largest cycle: 20 relations
Tue May 12 19:42:53 2009  matrix is 75294 x 75640 (18.9 MB) with weight 4642777 (61.38/col)
Tue May 12 19:42:53 2009  sparse part has weight 4642777 (61.38/col)
Tue May 12 19:42:54 2009  filtering completed in 3 passes
Tue May 12 19:42:54 2009  matrix is 71370 x 71434 (17.9 MB) with weight 4398060 (61.57/col)
Tue May 12 19:42:54 2009  sparse part has weight 4398060 (61.57/col)
Tue May 12 19:42:54 2009  saving the first 48 matrix rows for later
Tue May 12 19:42:54 2009  matrix is 71322 x 71434 (10.5 MB) with weight 3349481 (46.89/col)
Tue May 12 19:42:54 2009  sparse part has weight 2318382 (32.45/col)
Tue May 12 19:42:54 2009  matrix includes 64 packed rows
Tue May 12 19:42:54 2009  using block size 28573 for processor cache size 2048 kB
Tue May 12 19:42:55 2009  commencing Lanczos iteration
Tue May 12 19:42:55 2009  memory use: 10.7 MB
Tue May 12 19:43:22 2009  lanczos halted after 1130 iterations (dim = 71320)
Tue May 12 19:43:22 2009  recovered 15 nontrivial dependencies
Tue May 12 19:43:22 2009  prp45 factor: 222569895610081321713872192753638833118459541
Tue May 12 19:43:22 2009  prp50 factor: 12351940072441846049300946746600885270935752027829
Tue May 12 19:43:22 2009  elapsed time 02:53:56

GMP-ECM, Msieve

235497557010650532894673118420305252711357952769739656623954044246530772300462991315059351260369497746113369200342107789003087486746273768795169688355814707373214160797455268334180045266374546642739569739<204>

3670527667049049608762094305631461<34>

64159046974295305520723950792773478735297829893535629441057371436514358427793184945168214366306467643277111078191056438010184481010418240802535657701836153578260482169199<170>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=978534757
Step 1 took 68215ms
Step 2 took 25543ms
********** Factor found in step 2: 3670527667049049608762094305631461
Found probable prime factor of 34 digits: 3670527667049049608762094305631461
Composite cofactor has 170 digits

GMP-ECM 6.2.1

3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331<247>

29684543925937557890202976497871945766344766730347301874319641430581<68>
112291882996415387656130028676829715758029816641401390447881710627278702426639204651186789799247293493649076843110772795232751701418148807284927335486517274645744898701418322907751<180>

Sieving ~ 470 CPU days + 327 hrs Lanczos with Msieve 1.42

Tue Jun 15 00:09:48 2010  
Tue Jun 15 00:09:48 2010  
Tue Jun 15 00:09:48 2010  Msieve v. 1.42
Tue Jun 15 00:09:48 2010  random seeds: 6487028e 7c93534d
Tue Jun 15 00:09:48 2010  factoring 3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331 (247 digits)
Tue Jun 15 00:09:50 2010  no P-1/P+1/ECM available, skipping
Tue Jun 15 00:09:50 2010  commencing number field sieve (247-digit input)
Tue Jun 15 00:09:50 2010  R0: -100000000000000000000000000000000000000000
Tue Jun 15 00:09:50 2010  R1:  1
Tue Jun 15 00:09:50 2010  A0: -7
Tue Jun 15 00:09:50 2010  A1:  0
Tue Jun 15 00:09:50 2010  A2:  0
Tue Jun 15 00:09:50 2010  A3:  0
Tue Jun 15 00:09:50 2010  A4:  0
Tue Jun 15 00:09:50 2010  A5:  0
Tue Jun 15 00:09:50 2010  A6:  10
Tue Jun 15 00:09:50 2010  skew 1.00, size 3.937057e-12, alpha 1.102701, combined = 3.218375e-13
Tue Jun 15 00:09:50 2010  
Tue Jun 15 00:09:50 2010  commencing relation filtering
Tue Jun 15 00:09:50 2010  estimated available RAM is 5923.0 MB
Tue Jun 15 00:09:50 2010  commencing duplicate removal, pass 1
Tue Jun 15 00:10:08 2010  error -11 reading relation 2876041
Tue Jun 15 00:10:19 2010  error -6 reading relation 4793113
Tue Jun 15 00:10:55 2010  error -6 reading relation 10813983
Tue Jun 15 00:11:13 2010  error -6 reading relation 13786956
Tue Jun 15 00:11:28 2010  error -6 reading relation 16259864
Tue Jun 15 00:12:32 2010  error -11 reading relation 26806688
Tue Jun 15 00:12:56 2010  error -11 reading relation 30938111
Tue Jun 15 00:13:26 2010  error -11 reading relation 36041028
Tue Jun 15 00:13:27 2010  error -11 reading relation 36209553
Tue Jun 15 00:13:33 2010  error -11 reading relation 37175987
Tue Jun 15 00:14:06 2010  error -6 reading relation 42542212
Tue Jun 15 00:14:08 2010  error -11 reading relation 42897981
Tue Jun 15 00:14:13 2010  error -11 reading relation 43806522
Tue Jun 15 00:14:22 2010  error -11 reading relation 45501025
Tue Jun 15 00:14:22 2010  error -11 reading relation 45514252
Tue Jun 15 00:14:56 2010  error -11 reading relation 51841385
Tue Jun 15 00:14:59 2010  error -6 reading relation 52215377
Tue Jun 15 00:15:04 2010  error -11 reading relation 53173812
Tue Jun 15 00:16:17 2010  error -11 reading relation 65181301
Tue Jun 15 00:16:54 2010  error -11 reading relation 71190462
Tue Jun 15 00:16:57 2010  error -6 reading relation 71789920
Tue Jun 15 00:17:03 2010  error -11 reading relation 72660528
Tue Jun 15 00:17:10 2010  error -11 reading relation 73852124
Tue Jun 15 00:17:16 2010  error -11 reading relation 74777312
Tue Jun 15 00:17:17 2010  error -11 reading relation 75071100
Tue Jun 15 00:17:19 2010  error -11 reading relation 75391613
Tue Jun 15 00:17:20 2010  error -6 reading relation 75468702
Tue Jun 15 00:17:22 2010  error -11 reading relation 75739901
Tue Jun 15 00:17:25 2010  error -11 reading relation 76251970
Tue Jun 15 00:17:25 2010  error -11 reading relation 76316756
Tue Jun 15 00:17:26 2010  error -11 reading relation 76456855
Tue Jun 15 00:17:36 2010  error -11 reading relation 78159304
Tue Jun 15 00:17:36 2010  error -11 reading relation 78159305
Tue Jun 15 00:17:39 2010  error -6 reading relation 78604612
Tue Jun 15 00:17:59 2010  error -11 reading relation 82252241
Tue Jun 15 00:18:05 2010  error -11 reading relation 83149372
Tue Jun 15 00:18:06 2010  error -11 reading relation 83391801
Tue Jun 15 00:18:22 2010  error -11 reading relation 86014551
Tue Jun 15 00:18:23 2010  error -11 reading relation 86154396
Tue Jun 15 00:18:29 2010  error -6 reading relation 87148403
Tue Jun 15 00:18:39 2010  error -11 reading relation 88751426
Tue Jun 15 00:18:45 2010  error -11 reading relation 89758403
Tue Jun 15 00:18:49 2010  error -6 reading relation 90422093
Tue Jun 15 00:18:50 2010  error -11 reading relation 90647110
Tue Jun 15 00:18:54 2010  error -6 reading relation 91259571
Tue Jun 15 00:18:55 2010  error -11 reading relation 91394989
Tue Jun 15 00:19:00 2010  error -6 reading relation 92214860
Tue Jun 15 00:19:01 2010  error -11 reading relation 92468000
Tue Jun 15 00:19:03 2010  error -11 reading relation 92737855
Tue Jun 15 00:19:08 2010  error -11 reading relation 93518836
Tue Jun 15 00:19:15 2010  error -11 reading relation 94746477
Tue Jun 15 00:19:16 2010  error -11 reading relation 94807417
Tue Jun 15 00:19:21 2010  error -6 reading relation 95658967
Tue Jun 15 00:19:23 2010  error -11 reading relation 95922933
Tue Jun 15 00:19:26 2010  error -11 reading relation 96419346
Tue Jun 15 00:19:33 2010  error -6 reading relation 97804126
Tue Jun 15 00:19:35 2010  error -11 reading relation 97988166
Tue Jun 15 00:19:40 2010  error -11 reading relation 98906701
Tue Jun 15 00:19:42 2010  error -11 reading relation 99185215
Tue Jun 15 00:19:45 2010  error -11 reading relation 99766102
Tue Jun 15 00:19:54 2010  error -11 reading relation 101257875
Tue Jun 15 00:19:55 2010  error -11 reading relation 101411334
Tue Jun 15 00:20:44 2010  error -6 reading relation 109722082
Tue Jun 15 00:21:11 2010  error -11 reading relation 111779399
Tue Jun 15 00:21:12 2010  error -6 reading relation 111972372
Tue Jun 15 00:21:19 2010  error -11 reading relation 113132981
Tue Jun 15 00:21:22 2010  error -11 reading relation 113554825
Tue Jun 15 00:21:23 2010  error -11 reading relation 113710023
Tue Jun 15 00:21:23 2010  error -6 reading relation 113799726
Tue Jun 15 00:21:25 2010  error -11 reading relation 114057914
Tue Jun 15 00:21:25 2010  error -6 reading relation 114086939
Tue Jun 15 00:21:25 2010  error -11 reading relation 114160745
Tue Jun 15 00:21:26 2010  error -11 reading relation 114267131
Tue Jun 15 00:21:27 2010  error -11 reading relation 114403192
Tue Jun 15 00:21:33 2010  error -11 reading relation 115409449
Tue Jun 15 00:21:43 2010  error -11 reading relation 116996593
Tue Jun 15 00:21:46 2010  error -11 reading relation 117632325
Tue Jun 15 00:21:49 2010  error -11 reading relation 118068502
Tue Jun 15 00:21:51 2010  error -11 reading relation 118449895
Tue Jun 15 00:21:52 2010  error -6 reading relation 118578297
Tue Jun 15 00:21:53 2010  error -6 reading relation 118736370
Tue Jun 15 00:22:24 2010  error -11 reading relation 124075741
Tue Jun 15 00:22:25 2010  error -11 reading relation 124139159
Tue Jun 15 00:22:26 2010  error -11 reading relation 124455500
Tue Jun 15 00:22:27 2010  error -11 reading relation 124554496
Tue Jun 15 00:22:33 2010  error -11 reading relation 125676566
Tue Jun 15 00:22:34 2010  error -11 reading relation 125751269
Tue Jun 15 00:22:35 2010  error -11 reading relation 125877157
Tue Jun 15 00:22:38 2010  error -11 reading relation 126386078
Tue Jun 15 00:22:38 2010  error -11 reading relation 126449099
Tue Jun 15 00:22:40 2010  error -11 reading relation 126725741
Tue Jun 15 00:22:44 2010  error -11 reading relation 127369798
Tue Jun 15 00:22:47 2010  error -11 reading relation 127884810
Tue Jun 15 00:22:50 2010  error -11 reading relation 128457800
Tue Jun 15 00:22:51 2010  error -6 reading relation 128557799
Tue Jun 15 00:23:05 2010  found 28797754 hash collisions in 130942060 relations
Tue Jun 15 00:23:19 2010  commencing duplicate removal, pass 2
Tue Jun 15 00:26:19 2010  found 29537342 duplicates and 101404718 unique relations
Tue Jun 15 00:26:19 2010  memory use: 724.8 MB
Tue Jun 15 00:26:19 2010  reading ideals above 91815936
Tue Jun 15 00:26:19 2010  commencing singleton removal, initial pass
Tue Jun 15 00:38:37 2010  memory use: 2131.0 MB
Tue Jun 15 00:38:37 2010  reading all ideals from disk
Tue Jun 15 00:39:03 2010  memory use: 1974.6 MB
Tue Jun 15 00:39:08 2010  commencing in-memory singleton removal
Tue Jun 15 00:39:13 2010  begin with 101404718 relations and 83395254 unique ideals
Tue Jun 15 00:40:09 2010  reduce to 70790277 relations and 50001493 ideals in 13 passes
Tue Jun 15 00:40:09 2010  max relations containing the same ideal: 29
Tue Jun 15 00:40:14 2010  reading ideals above 720000
Tue Jun 15 00:40:14 2010  commencing singleton removal, initial pass
Tue Jun 15 00:51:07 2010  memory use: 1193.5 MB
Tue Jun 15 00:51:07 2010  reading all ideals from disk
Tue Jun 15 00:51:45 2010  memory use: 2786.7 MB
Tue Jun 15 00:51:55 2010  keeping 60253384 ideals with weight <= 200, target excess is 377298
Tue Jun 15 00:52:05 2010  commencing in-memory singleton removal
Tue Jun 15 00:52:13 2010  begin with 70790277 relations and 60253384 unique ideals
Tue Jun 15 00:53:03 2010  reduce to 70789818 relations and 60252925 ideals in 6 passes
Tue Jun 15 00:53:03 2010  max relations containing the same ideal: 200
Tue Jun 15 00:53:38 2010  removing 2658607 relations and 2258607 ideals in 400000 cliques
Tue Jun 15 00:53:40 2010  commencing in-memory singleton removal
Tue Jun 15 00:53:48 2010  begin with 68131211 relations and 60252925 unique ideals
Tue Jun 15 00:54:44 2010  reduce to 68080165 relations and 57942901 ideals in 7 passes
Tue Jun 15 00:54:44 2010  max relations containing the same ideal: 199
Tue Jun 15 00:55:18 2010  removing 2009384 relations and 1609384 ideals in 400000 cliques
Tue Jun 15 00:55:20 2010  commencing in-memory singleton removal
Tue Jun 15 00:55:28 2010  begin with 66070781 relations and 57942901 unique ideals
Tue Jun 15 00:56:06 2010  reduce to 66037971 relations and 56300497 ideals in 5 passes
Tue Jun 15 00:56:06 2010  max relations containing the same ideal: 198
Tue Jun 15 00:56:39 2010  removing 1794387 relations and 1394387 ideals in 400000 cliques
Tue Jun 15 00:56:41 2010  commencing in-memory singleton removal
Tue Jun 15 00:56:48 2010  begin with 64243584 relations and 56300497 unique ideals
Tue Jun 15 00:57:33 2010  reduce to 64215377 relations and 54877733 ideals in 6 passes
Tue Jun 15 00:57:33 2010  max relations containing the same ideal: 195
Tue Jun 15 00:58:05 2010  removing 1672696 relations and 1272696 ideals in 400000 cliques
Tue Jun 15 00:58:06 2010  commencing in-memory singleton removal
Tue Jun 15 00:58:14 2010  begin with 62542681 relations and 54877733 unique ideals
Tue Jun 15 00:58:57 2010  reduce to 62516442 relations and 53578631 ideals in 6 passes
Tue Jun 15 00:58:57 2010  max relations containing the same ideal: 192
Tue Jun 15 00:59:28 2010  removing 1591148 relations and 1191148 ideals in 400000 cliques
Tue Jun 15 00:59:30 2010  commencing in-memory singleton removal
Tue Jun 15 00:59:37 2010  begin with 60925294 relations and 53578631 unique ideals
Tue Jun 15 01:00:12 2010  reduce to 60901628 relations and 52363685 ideals in 5 passes
Tue Jun 15 01:00:12 2010  max relations containing the same ideal: 189
Tue Jun 15 01:00:42 2010  removing 1527319 relations and 1127319 ideals in 400000 cliques
Tue Jun 15 01:00:44 2010  commencing in-memory singleton removal
Tue Jun 15 01:00:51 2010  begin with 59374309 relations and 52363685 unique ideals
Tue Jun 15 01:01:25 2010  reduce to 59351157 relations and 51213068 ideals in 5 passes
Tue Jun 15 01:01:25 2010  max relations containing the same ideal: 186
Tue Jun 15 01:01:55 2010  removing 1479054 relations and 1079054 ideals in 400000 cliques
Tue Jun 15 01:01:56 2010  commencing in-memory singleton removal
Tue Jun 15 01:02:03 2010  begin with 57872103 relations and 51213068 unique ideals
Tue Jun 15 01:02:30 2010  reduce to 57849248 relations and 50111006 ideals in 4 passes
Tue Jun 15 01:02:30 2010  max relations containing the same ideal: 184
Tue Jun 15 01:02:58 2010  removing 1429066 relations and 1029066 ideals in 400000 cliques
Tue Jun 15 01:02:59 2010  commencing in-memory singleton removal
Tue Jun 15 01:03:06 2010  begin with 56420182 relations and 50111006 unique ideals
Tue Jun 15 01:03:39 2010  reduce to 56397046 relations and 49058657 ideals in 5 passes
Tue Jun 15 01:03:39 2010  max relations containing the same ideal: 182
Tue Jun 15 01:04:06 2010  removing 1399096 relations and 999096 ideals in 400000 cliques
Tue Jun 15 01:04:07 2010  commencing in-memory singleton removal
Tue Jun 15 01:04:14 2010  begin with 54997950 relations and 49058657 unique ideals
Tue Jun 15 01:04:46 2010  reduce to 54975525 relations and 48036993 ideals in 5 passes
Tue Jun 15 01:04:46 2010  max relations containing the same ideal: 177
Tue Jun 15 01:05:13 2010  removing 1369904 relations and 969904 ideals in 400000 cliques
Tue Jun 15 01:05:14 2010  commencing in-memory singleton removal
Tue Jun 15 01:05:20 2010  begin with 53605621 relations and 48036993 unique ideals
Tue Jun 15 01:05:51 2010  reduce to 53582045 relations and 47043361 ideals in 5 passes
Tue Jun 15 01:05:51 2010  max relations containing the same ideal: 175
Tue Jun 15 01:06:17 2010  removing 1349246 relations and 949246 ideals in 400000 cliques
Tue Jun 15 01:06:19 2010  commencing in-memory singleton removal
Tue Jun 15 01:06:24 2010  begin with 52232799 relations and 47043361 unique ideals
Tue Jun 15 01:06:55 2010  reduce to 52208906 relations and 46070031 ideals in 5 passes
Tue Jun 15 01:06:55 2010  max relations containing the same ideal: 172
Tue Jun 15 01:07:20 2010  removing 1334368 relations and 934368 ideals in 400000 cliques
Tue Jun 15 01:07:21 2010  commencing in-memory singleton removal
Tue Jun 15 01:07:27 2010  begin with 50874538 relations and 46070031 unique ideals
Tue Jun 15 01:08:02 2010  reduce to 50850987 relations and 45111932 ideals in 6 passes
Tue Jun 15 01:08:02 2010  max relations containing the same ideal: 170
Tue Jun 15 01:08:27 2010  removing 1314035 relations and 914035 ideals in 400000 cliques
Tue Jun 15 01:08:28 2010  commencing in-memory singleton removal
Tue Jun 15 01:08:34 2010  begin with 49536952 relations and 45111932 unique ideals
Tue Jun 15 01:09:02 2010  reduce to 49512385 relations and 44173142 ideals in 5 passes
Tue Jun 15 01:09:02 2010  max relations containing the same ideal: 168
Tue Jun 15 01:09:27 2010  removing 1304385 relations and 904385 ideals in 400000 cliques
Tue Jun 15 01:09:28 2010  commencing in-memory singleton removal
Tue Jun 15 01:09:33 2010  begin with 48208000 relations and 44173142 unique ideals
Tue Jun 15 01:10:01 2010  reduce to 48183403 relations and 43243938 ideals in 5 passes
Tue Jun 15 01:10:01 2010  max relations containing the same ideal: 165
Tue Jun 15 01:10:25 2010  removing 1288975 relations and 888975 ideals in 400000 cliques
Tue Jun 15 01:10:26 2010  commencing in-memory singleton removal
Tue Jun 15 01:10:31 2010  begin with 46894428 relations and 43243938 unique ideals
Tue Jun 15 01:10:58 2010  reduce to 46868974 relations and 42329250 ideals in 5 passes
Tue Jun 15 01:10:58 2010  max relations containing the same ideal: 160
Tue Jun 15 01:11:21 2010  removing 1277335 relations and 877335 ideals in 400000 cliques
Tue Jun 15 01:11:22 2010  commencing in-memory singleton removal
Tue Jun 15 01:11:27 2010  begin with 45591639 relations and 42329250 unique ideals
Tue Jun 15 01:11:59 2010  reduce to 45565854 relations and 41425893 ideals in 6 passes
Tue Jun 15 01:11:59 2010  max relations containing the same ideal: 158
Tue Jun 15 01:12:21 2010  removing 1273936 relations and 873936 ideals in 400000 cliques
Tue Jun 15 01:12:22 2010  commencing in-memory singleton removal
Tue Jun 15 01:12:27 2010  begin with 44291918 relations and 41425893 unique ideals
Tue Jun 15 01:12:52 2010  reduce to 44266584 relations and 40526368 ideals in 5 passes
Tue Jun 15 01:12:52 2010  max relations containing the same ideal: 154
Tue Jun 15 01:13:14 2010  removing 1270485 relations and 870485 ideals in 400000 cliques
Tue Jun 15 01:13:15 2010  commencing in-memory singleton removal
Tue Jun 15 01:13:20 2010  begin with 42996099 relations and 40526368 unique ideals
Tue Jun 15 01:13:44 2010  reduce to 42970178 relations and 39629729 ideals in 5 passes
Tue Jun 15 01:13:44 2010  max relations containing the same ideal: 150
Tue Jun 15 01:14:05 2010  removing 1260000 relations and 860000 ideals in 400000 cliques
Tue Jun 15 01:14:06 2010  commencing in-memory singleton removal
Tue Jun 15 01:14:11 2010  begin with 41710178 relations and 39629729 unique ideals
Tue Jun 15 01:14:34 2010  reduce to 41682711 relations and 38742008 ideals in 5 passes
Tue Jun 15 01:14:34 2010  max relations containing the same ideal: 148
Tue Jun 15 01:14:55 2010  removing 1262304 relations and 862304 ideals in 400000 cliques
Tue Jun 15 01:14:56 2010  commencing in-memory singleton removal
Tue Jun 15 01:15:00 2010  begin with 40420407 relations and 38742008 unique ideals
Tue Jun 15 01:15:23 2010  reduce to 40393050 relations and 37852062 ideals in 5 passes
Tue Jun 15 01:15:23 2010  max relations containing the same ideal: 145
Tue Jun 15 01:15:43 2010  removing 1258602 relations and 858602 ideals in 400000 cliques
Tue Jun 15 01:15:44 2010  commencing in-memory singleton removal
Tue Jun 15 01:15:48 2010  begin with 39134448 relations and 37852062 unique ideals
Tue Jun 15 01:16:10 2010  reduce to 39105517 relations and 36964228 ideals in 5 passes
Tue Jun 15 01:16:10 2010  max relations containing the same ideal: 139
Tue Jun 15 01:16:29 2010  removing 1259464 relations and 859464 ideals in 400000 cliques
Tue Jun 15 01:16:31 2010  commencing in-memory singleton removal
Tue Jun 15 01:16:35 2010  begin with 37846053 relations and 36964228 unique ideals
Tue Jun 15 01:16:56 2010  reduce to 37815497 relations and 36073850 ideals in 5 passes
Tue Jun 15 01:16:56 2010  max relations containing the same ideal: 137
Tue Jun 15 01:17:14 2010  removing 1260023 relations and 860023 ideals in 400000 cliques
Tue Jun 15 01:17:15 2010  commencing in-memory singleton removal
Tue Jun 15 01:17:19 2010  begin with 36555474 relations and 36073850 unique ideals
Tue Jun 15 01:17:40 2010  reduce to 36523240 relations and 35181217 ideals in 5 passes
Tue Jun 15 01:17:40 2010  max relations containing the same ideal: 135
Tue Jun 15 01:17:58 2010  removing 1262301 relations and 862301 ideals in 400000 cliques
Tue Jun 15 01:17:59 2010  commencing in-memory singleton removal
Tue Jun 15 01:18:03 2010  begin with 35260939 relations and 35181217 unique ideals
Tue Jun 15 01:18:22 2010  reduce to 35226269 relations and 34283894 ideals in 5 passes
Tue Jun 15 01:18:22 2010  max relations containing the same ideal: 134
Tue Jun 15 01:18:40 2010  removing 1269884 relations and 869884 ideals in 400000 cliques
Tue Jun 15 01:18:41 2010  commencing in-memory singleton removal
Tue Jun 15 01:18:44 2010  begin with 33956385 relations and 34283894 unique ideals
Tue Jun 15 01:19:07 2010  reduce to 33919980 relations and 33377148 ideals in 6 passes
Tue Jun 15 01:19:07 2010  max relations containing the same ideal: 127
Tue Jun 15 01:19:23 2010  removing 416392 relations and 311226 ideals in 105166 cliques
Tue Jun 15 01:19:24 2010  commencing in-memory singleton removal
Tue Jun 15 01:19:28 2010  begin with 33503588 relations and 33377148 unique ideals
Tue Jun 15 01:19:43 2010  reduce to 33500096 relations and 33062421 ideals in 4 passes
Tue Jun 15 01:19:43 2010  max relations containing the same ideal: 127
Tue Jun 15 01:19:54 2010  relations with 0 large ideals: 14224
Tue Jun 15 01:19:54 2010  relations with 1 large ideals: 2687
Tue Jun 15 01:19:54 2010  relations with 2 large ideals: 30993
Tue Jun 15 01:19:54 2010  relations with 3 large ideals: 265226
Tue Jun 15 01:19:54 2010  relations with 4 large ideals: 1274436
Tue Jun 15 01:19:54 2010  relations with 5 large ideals: 3769958
Tue Jun 15 01:19:54 2010  relations with 6 large ideals: 7165928
Tue Jun 15 01:19:54 2010  relations with 7+ large ideals: 20976644
Tue Jun 15 01:19:54 2010  commencing 2-way merge
Tue Jun 15 01:20:19 2010  reduce to 25236363 relation sets and 24798687 unique ideals
Tue Jun 15 01:20:19 2010  commencing full merge
Tue Jun 15 01:26:39 2010  memory use: 2879.3 MB
Tue Jun 15 01:26:42 2010  found 13213040 cycles, need 13152887
Tue Jun 15 01:26:48 2010  weight of 13152887 cycles is about 920817702 (70.01/cycle)
Tue Jun 15 01:26:48 2010  distribution of cycle lengths:
Tue Jun 15 01:26:48 2010  1 relations: 1024537
Tue Jun 15 01:26:48 2010  2 relations: 1642337
Tue Jun 15 01:26:48 2010  3 relations: 1852354
Tue Jun 15 01:26:48 2010  4 relations: 1778604
Tue Jun 15 01:26:48 2010  5 relations: 1630869
Tue Jun 15 01:26:48 2010  6 relations: 1391789
Tue Jun 15 01:26:48 2010  7 relations: 1134194
Tue Jun 15 01:26:48 2010  8 relations: 869812
Tue Jun 15 01:26:48 2010  9 relations: 635139
Tue Jun 15 01:26:48 2010  10+ relations: 1193252
Tue Jun 15 01:26:48 2010  heaviest cycle: 19 relations
Tue Jun 15 01:26:51 2010  commencing cycle optimization
Tue Jun 15 01:27:10 2010  start with 67668444 relations
Tue Jun 15 01:28:46 2010  pruned 2190875 relations
Tue Jun 15 01:28:46 2010  memory use: 2121.2 MB
Tue Jun 15 01:28:46 2010  distribution of cycle lengths:
Tue Jun 15 01:28:46 2010  1 relations: 1024537
Tue Jun 15 01:28:46 2010  2 relations: 1684187
Tue Jun 15 01:28:46 2010  3 relations: 1938730
Tue Jun 15 01:28:46 2010  4 relations: 1842533
Tue Jun 15 01:28:46 2010  5 relations: 1692194
Tue Jun 15 01:28:46 2010  6 relations: 1419473
Tue Jun 15 01:28:46 2010  7 relations: 1140408
Tue Jun 15 01:28:46 2010  8 relations: 847741
Tue Jun 15 01:28:46 2010  9 relations: 599347
Tue Jun 15 01:28:46 2010  10+ relations: 963737
Tue Jun 15 01:28:46 2010  heaviest cycle: 19 relations
Tue Jun 15 01:29:08 2010  RelProcTime: 4758
Tue Jun 15 01:29:08 2010  
Tue Jun 15 01:29:08 2010  commencing linear algebra
Tue Jun 15 01:29:15 2010  read 13152887 cycles
Tue Jun 15 01:29:32 2010  cycles contain 33352726 unique relations
Tue Jun 15 01:33:23 2010  read 33352726 relations
Tue Jun 15 01:34:14 2010  using 20 quadratic characters above 1073741388
Tue Jun 15 01:36:54 2010  building initial matrix
Tue Jun 15 01:42:55 2010  memory use: 4478.5 MB
Tue Jun 15 01:43:03 2010  read 13152887 cycles
Tue Jun 15 01:43:52 2010  matrix is 13152710 x 13152887 (3930.8 MB) with weight 1158864514 (88.11/col)
Tue Jun 15 01:43:52 2010  sparse part has weight 885746440 (67.34/col)
Tue Jun 15 01:46:43 2010  filtering completed in 2 passes
Tue Jun 15 01:46:46 2010  matrix is 13152219 x 13152396 (3930.7 MB) with weight 1158852469 (88.11/col)
Tue Jun 15 01:46:46 2010  sparse part has weight 885743680 (67.34/col)
Tue Jun 15 01:47:59 2010  read 13152396 cycles
Tue Jun 15 01:48:48 2010  matrix is 13152219 x 13152396 (3930.7 MB) with weight 1158852469 (88.11/col)
Tue Jun 15 01:48:48 2010  sparse part has weight 885743680 (67.34/col)
Tue Jun 15 01:48:49 2010  saving the first 48 matrix rows for later
Tue Jun 15 01:48:53 2010  matrix is 13152171 x 13152396 (3762.6 MB) with weight 914645390 (69.54/col)
Tue Jun 15 01:48:53 2010  sparse part has weight 854832081 (64.99/col)
Tue Jun 15 01:48:53 2010  matrix includes 64 packed rows
Tue Jun 15 01:48:53 2010  using block size 65536 for processor cache size 8192 kB
Tue Jun 15 01:52:25 2010  commencing Lanczos iteration (8 threads)
Tue Jun 15 01:52:25 2010  memory use: 4496.8 MB
Mon Jun 28 10:57:55 2010  lanczos halted after 207989 iterations (dim = 13152171)
Mon Jun 28 10:58:25 2010  recovered 36 nontrivial dependencies
Mon Jun 28 10:58:26 2010  BLanczosTime: 1157358
Mon Jun 28 10:58:26 2010  
Mon Jun 28 10:58:26 2010  commencing square root phase
Mon Jun 28 10:58:26 2010  reading relations for dependency 1
Mon Jun 28 10:58:30 2010  read 6575848 cycles
Mon Jun 28 10:58:39 2010  cycles contain 21201723 unique relations
Mon Jun 28 11:04:42 2010  read 21201723 relations
Mon Jun 28 11:06:28 2010  multiplying 16675280 relations
Mon Jun 28 11:38:37 2010  multiply complete, coefficients have about 477.28 million bits
Mon Jun 28 11:38:41 2010  initial square root is modulo 366314029
Mon Jun 28 12:26:08 2010  reading relations for dependency 2
Mon Jun 28 12:26:12 2010  read 6575957 cycles
Mon Jun 28 12:26:21 2010  cycles contain 21201707 unique relations
Mon Jun 28 12:29:30 2010  read 21201707 relations
Mon Jun 28 12:31:16 2010  multiplying 16675768 relations
Mon Jun 28 13:03:25 2010  multiply complete, coefficients have about 477.30 million bits
Mon Jun 28 13:03:29 2010  initial square root is modulo 366621061
Mon Jun 28 13:50:56 2010  reading relations for dependency 3
Mon Jun 28 13:51:00 2010  read 6574589 cycles
Mon Jun 28 13:51:09 2010  cycles contain 21198438 unique relations
Mon Jun 28 13:54:19 2010  read 21198438 relations
Mon Jun 28 13:56:05 2010  multiplying 16672554 relations
Mon Jun 28 14:28:17 2010  multiply complete, coefficients have about 477.21 million bits
Mon Jun 28 14:28:21 2010  initial square root is modulo 365247769
Mon Jun 28 15:14:29 2010  sqrtTime: 15363
Mon Jun 28 15:14:29 2010  prp68 factor: 29684543925937557890202976497871945766344766730347301874319641430581
Mon Jun 28 15:14:29 2010  prp180 factor: 112291882996415387656130028676829715758029816641401390447881710627278702426639204651186789799247293493649076843110772795232751701418148807284927335486517274645744898701418322907751
Mon Jun 28 15:14:29 2010  elapsed time 327:04:41

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4217316923413694071829440819918518233094729288312802595870707047440119156899386358421123747632962149172333818182494277792777289805027880158649085161892187996174702311798995401700163433213083560692927659603046606098332349<220>

3097268651076805627243162772489995129127184247044323332635488784317829121814038829876485535169751990955152361059168218925950446709190656088521741140546720855651067968682634041440963936430269177098907033049555333585445667757905957336521<235>

27082828654808144050029464152717212354395581227360532047407826080975950213860979675338319659027492730272692645993930649645939108314989929687146149936964400790980216208678239341293309089620355984797062909459932495354632507418578325236843302189483<245>

329827090386401391523000311353376105731933663379607014380104037056339313616211622570095909602631758773524726458066677015473175091974471732425015833417913120453978350370969083425781203414886773185993772378170477257940553814305389137435375580126013<246>

587841110227874147911827116031390195117794280846157123099210246052931470509820672019596125518219624017645006936510328517412451672961071822053945089035817310540924241401018834009083458948261337411<195>

1284197044360200541075007267172590020783556259132263118761560483831058631780937776059010208529723186746186629208793931910468999648332613705851684851967844714300446690513542130227241746920224268256054649858355962690321855751418324099417203<238>

484382637069937661670660561739849361<36>

2651203709795199684251585679628880662973098586139838229136947528183353097010923485615375225302305892106965856270237163160043635638672856296107199635452721869814368272832459791610836065965574388296137923<202>

Input number is 1284197044360200541075007267172590020783556259132263118761560483831058631780937776059010208529723186746186629208793931910468999648332613705851684851967844714300446690513542130227241746920224268256054649858355962690321855751418324099417203 (238 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=563937727
Step 1 took 22340ms
Step 2 took 8642ms
********** Factor found in step 2: 484382637069937661670660561739849361
Found probable prime factor of 36 digits: 484382637069937661670660561739849361
Composite cofactor 2651203709795199684251585679628880662973098586139838229136947528183353097010923485615375225302305892106965856270237163160043635638672856296107199635452721869814368272832459791610836065965574388296137923 has 202 digits

GMP-ECM 6.4.4

101204729509555316791686650651162149152328711393723414409260444118871939903573341225835300101673320712515489653505311497657907918524943089606049412325237375665998880889754034331732234607301482392239445299474186019181850894529287848153<234>

8436230696688076046505443539975830738066702073339329513211671167195201913560451711985093417934006963653807088197679760536398784739465168639548410865137085529634426136599927622082178291815348279839176582687270145841733754819582263543174698036839953<247>

5202024276962170718778634110737247937849<40>
1621720747065522504232770763655221194888921873820225421474818672079869413855712408219522031594239290765982315929728102417089077234302703223592118340556010316344963736411799612573031466803262939553428468121497<208>

Input number is 8436230696688076046505443539975830738066702073339329513211671167195201913560451711985093417934006963653807088197679760536398784739465168639548410865137085529634426136599927622082178291815348279839176582687270145841733754819582263543174698036839953 (247 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=646337895
Step 1 took 85536ms
Step 2 took 29952ms
********** Factor found in step 2: 5202024276962170718778634110737247937849
Found probable prime factor of 40 digits: 5202024276962170718778634110737247937849
Probable prime cofactor 1621720747065522504232770763655221194888921873820225421474818672079869413855712408219522031594239290765982315929728102417089077234302703223592118340556010316344963736411799612573031466803262939553428468121497 has 208 digits

GMP-ECM 6.4.4

2487681770402875632193178461291745544322945293394754861980953671822308544346971189151431948862853950471495337845219347956209343028725086622253726640011917154996559199620942513593028326442021513382158520146716301890569999748435491879<232>

5144167505964130615568548852793906473785976634700971563632887307713662279202295485147134216745187866823246759382061408496136560334681688130674561869507794980705703748780425667871981168888444139869275037303384167378122467849552569679<232>

2365559282311566531264105255803<31>

2174609422993354981493239883737233804780491200642807898198093894973848994221578188037393285981799954829128408203830066401183718983356460674031943773017443800553078285437178158607079244665405126085260093<202>

Input number is 5144167505964130615568548852793906473785976634700971563632887307713662279202295485147134216745187866823246759382061408496136560334681688130674561869507794980705703748780425667871981168888444139869275037303384167378122467849552569679 (232 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3315263093
Step 1 took 7550ms
Step 2 took 3682ms
********** Factor found in step 2: 2365559282311566531264105255803
Found probable prime factor of 31 digits: 2365559282311566531264105255803
Composite cofactor 2174609422993354981493239883737233804780491200642807898198093894973848994221578188037393285981799954829128408203830066401183718983356460674031943773017443800553078285437178158607079244665405126085260093 has 202 digits

GMP-ECM 6.4.4

1648632083726018045357272090462382253273909111089174625539856263240954810830645381765358565708755463136100290734481810726995401116304070703787642451494807320841353095701805636962168426729231342826668981241212933286161933843844862529544305953<241>

17543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649<263>

100359676267815821441548995368314726069919742492623721519290469152229182162455124580490199916022100631642929940864366543186936021589901547250288689324073241021336894987824733490308407029000647248742296412390111204417<216>

14487749851513112464049888002655118388114634675084513947443858597631130922928463817617190868281186975294562116758507696720180309590482859535032248269758082852035759250148548943170705996348239159321404199352491537298688931<221>

333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331<267>

51278955117398903310136793362315043742824631806717035905919553780927957893105517233<83>
71043183443149161624625590524447658407320160208711418673135099221456799505742331833<83>
91499172017910820244583625229580670114050818117825460747153102208358621465166981750900340772697218779<101>

 Tue Mar 03 21:55:01 2020  Msieve v. 1.54 (SVN Unversioned directory)
Tue Mar 03 21:55:01 2020  random seeds: b538be88 48dc288c
Tue Mar 03 21:55:01 2020  factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331 (267 digits)
Tue Mar 03 21:55:02 2020  searching for 15-digit factors
Tue Mar 03 21:55:03 2020  commencing number field sieve (267-digit input)
Tue Mar 03 21:55:03 2020  R0: -100000000000000000000000000000000000000000000
Tue Mar 03 21:55:03 2020  R1: 1
Tue Mar 03 21:55:03 2020  A0: -7
Tue Mar 03 21:55:03 2020  A1: 0
Tue Mar 03 21:55:03 2020  A2: 0
Tue Mar 03 21:55:03 2020  A3: 0
Tue Mar 03 21:55:03 2020  A4: 0
Tue Mar 03 21:55:03 2020  A5: 0
Tue Mar 03 21:55:03 2020  A6: 1000
Tue Mar 03 21:55:03 2020  skew 1.00, size 2.596e-013, alpha 0.456, combined = 4.232e-014 rroots = 2
Tue Mar 03 21:55:03 2020  
Tue Mar 03 21:55:03 2020  commencing relation filtering
Tue Mar 03 21:55:03 2020  setting target matrix density to 140.0
Tue Mar 03 21:55:03 2020  estimated available RAM is 32699.4 MB
Tue Mar 03 21:55:03 2020  commencing duplicate removal, pass 1
Tue Mar 03 22:19:33 2020  error -15 reading relation 148475986
...
Tue Mar 03 23:01:21 2020  skipped 10453 relations with b > 2^32
Tue Mar 03 23:01:21 2020  skipped 10 relations with composite factors
Tue Mar 03 23:01:21 2020  found 33441847 hash collisions in 402573374 relations
Tue Mar 03 23:01:36 2020  added 1218312 free relations
Tue Mar 03 23:01:36 2020  commencing duplicate removal, pass 2
Tue Mar 03 23:11:53 2020  found 0 duplicates and 403791686 unique relations
Tue Mar 03 23:11:53 2020  memory use: 1321.5 MB
Tue Mar 03 23:11:54 2020  reading ideals above 289865728
Tue Mar 03 23:11:54 2020  commencing singleton removal, initial pass
Tue Mar 03 23:57:32 2020  memory use: 6024.0 MB
Tue Mar 03 23:57:33 2020  reading all ideals from disk
Tue Mar 03 23:57:37 2020  memory use: 6878.0 MB
Tue Mar 03 23:57:49 2020  commencing in-memory singleton removal
Tue Mar 03 23:57:59 2020  begin with 403791686 relations and 316511481 unique ideals
Wed Mar 04 00:00:21 2020  reduce to 283314688 relations and 185402706 ideals in 14 passes
Wed Mar 04 00:00:21 2020  max relations containing the same ideal: 46
Wed Mar 04 00:00:37 2020  reading ideals above 720000
Wed Mar 04 00:00:37 2020  commencing singleton removal, initial pass
Wed Mar 04 00:35:57 2020  memory use: 6024.0 MB
Wed Mar 04 00:35:57 2020  reading all ideals from disk
Wed Mar 04 00:36:06 2020  memory use: 11938.8 MB
Wed Mar 04 00:36:28 2020  keeping 215345785 ideals with weight <= 200, target excess is 1515022
Wed Mar 04 00:36:55 2020  commencing in-memory singleton removal
Wed Mar 04 00:37:10 2020  begin with 283314688 relations and 215345785 unique ideals
Wed Mar 04 00:38:38 2020  reduce to 283312375 relations and 215343472 ideals in 6 passes
Wed Mar 04 00:38:38 2020  max relations containing the same ideal: 200
Wed Mar 04 00:40:01 2020  removing 11757779 relations and 9757779 ideals in 2000000 cliques
Wed Mar 04 00:40:05 2020  commencing in-memory singleton removal
Wed Mar 04 00:40:20 2020  begin with 271554596 relations and 215343472 unique ideals
Wed Mar 04 00:41:59 2020  reduce to 271214142 relations and 205242169 ideals in 7 passes
Wed Mar 04 00:41:59 2020  max relations containing the same ideal: 200
Wed Mar 04 00:43:19 2020  removing 8910625 relations and 6910625 ideals in 2000000 cliques
Wed Mar 04 00:43:23 2020  commencing in-memory singleton removal
Wed Mar 04 00:43:37 2020  begin with 262303517 relations and 205242169 unique ideals
Wed Mar 04 00:45:14 2020  reduce to 262081449 relations and 198107738 ideals in 7 passes
Wed Mar 04 00:45:14 2020  max relations containing the same ideal: 198
Wed Mar 04 00:46:35 2020  removing 8011275 relations and 6011275 ideals in 2000000 cliques
Wed Mar 04 00:46:38 2020  commencing in-memory singleton removal
Wed Mar 04 00:46:53 2020  begin with 254070174 relations and 198107738 unique ideals
Wed Mar 04 00:48:28 2020  reduce to 253877156 relations and 191901975 ideals in 7 passes
Wed Mar 04 00:48:28 2020  max relations containing the same ideal: 195
Wed Mar 04 00:49:45 2020  removing 7505307 relations and 5505307 ideals in 2000000 cliques
Wed Mar 04 00:49:49 2020  commencing in-memory singleton removal
Wed Mar 04 00:50:02 2020  begin with 246371849 relations and 191901975 unique ideals
Wed Mar 04 00:51:35 2020  reduce to 246195705 relations and 186219175 ideals in 7 passes
Wed Mar 04 00:51:35 2020  max relations containing the same ideal: 192
Wed Mar 04 00:52:51 2020  removing 7177824 relations and 5177824 ideals in 2000000 cliques
Wed Mar 04 00:52:55 2020  commencing in-memory singleton removal
Wed Mar 04 00:53:08 2020  begin with 239017881 relations and 186219175 unique ideals
Wed Mar 04 00:54:24 2020  reduce to 238852453 relations and 180874612 ideals in 6 passes
Wed Mar 04 00:54:24 2020  max relations containing the same ideal: 190
Wed Mar 04 00:55:37 2020  removing 6942865 relations and 4942865 ideals in 2000000 cliques
Wed Mar 04 00:55:41 2020  commencing in-memory singleton removal
Wed Mar 04 00:55:53 2020  begin with 231909588 relations and 180874612 unique ideals
Wed Mar 04 00:57:07 2020  reduce to 231750629 relations and 175771530 ideals in 6 passes
Wed Mar 04 00:57:07 2020  max relations containing the same ideal: 185
Wed Mar 04 00:58:18 2020  removing 6763924 relations and 4763924 ideals in 2000000 cliques
Wed Mar 04 00:58:22 2020  commencing in-memory singleton removal
Wed Mar 04 00:58:34 2020  begin with 224986705 relations and 175771530 unique ideals
Wed Mar 04 00:59:43 2020  reduce to 224832330 relations and 170851928 ideals in 6 passes
Wed Mar 04 00:59:43 2020  max relations containing the same ideal: 182
Wed Mar 04 01:00:53 2020  removing 6629620 relations and 4629620 ideals in 2000000 cliques
Wed Mar 04 01:00:57 2020  commencing in-memory singleton removal
Wed Mar 04 01:01:08 2020  begin with 218202710 relations and 170851928 unique ideals
Wed Mar 04 01:02:15 2020  reduce to 218052094 relations and 166070317 ideals in 6 passes
Wed Mar 04 01:02:15 2020  max relations containing the same ideal: 179
Wed Mar 04 01:03:21 2020  removing 6517613 relations and 4517613 ideals in 2000000 cliques
Wed Mar 04 01:03:24 2020  commencing in-memory singleton removal
Wed Mar 04 01:03:35 2020  begin with 211534481 relations and 166070317 unique ideals
Wed Mar 04 01:04:50 2020  reduce to 211383965 relations and 161400828 ideals in 7 passes
Wed Mar 04 01:04:50 2020  max relations containing the same ideal: 177
Wed Mar 04 01:05:53 2020  removing 6429777 relations and 4429777 ideals in 2000000 cliques
Wed Mar 04 01:05:56 2020  commencing in-memory singleton removal
Wed Mar 04 01:06:07 2020  begin with 204954188 relations and 161400828 unique ideals
Wed Mar 04 01:07:09 2020  reduce to 204804862 relations and 156820392 ideals in 6 passes
Wed Mar 04 01:07:09 2020  max relations containing the same ideal: 173
Wed Mar 04 01:08:11 2020  removing 6352214 relations and 4352214 ideals in 2000000 cliques
Wed Mar 04 01:08:14 2020  commencing in-memory singleton removal
Wed Mar 04 01:08:24 2020  begin with 198452648 relations and 156820392 unique ideals
Wed Mar 04 01:09:24 2020  reduce to 198303685 relations and 152317719 ideals in 6 passes
Wed Mar 04 01:09:24 2020  max relations containing the same ideal: 167
Wed Mar 04 01:10:24 2020  removing 6292538 relations and 4292538 ideals in 2000000 cliques
Wed Mar 04 01:10:26 2020  commencing in-memory singleton removal
Wed Mar 04 01:10:36 2020  begin with 192011147 relations and 152317719 unique ideals
Wed Mar 04 01:11:34 2020  reduce to 191863553 relations and 147876122 ideals in 6 passes
Wed Mar 04 01:11:34 2020  max relations containing the same ideal: 164
Wed Mar 04 01:12:32 2020  removing 6241438 relations and 4241438 ideals in 2000000 cliques
Wed Mar 04 01:12:35 2020  commencing in-memory singleton removal
Wed Mar 04 01:12:45 2020  begin with 185622115 relations and 147876122 unique ideals
Wed Mar 04 01:13:41 2020  reduce to 185472494 relations and 143483524 ideals in 6 passes
Wed Mar 04 01:13:41 2020  max relations containing the same ideal: 161
Wed Mar 04 01:14:37 2020  removing 6194113 relations and 4194113 ideals in 2000000 cliques
Wed Mar 04 01:14:40 2020  commencing in-memory singleton removal
Wed Mar 04 01:14:49 2020  begin with 179278381 relations and 143483524 unique ideals
Wed Mar 04 01:15:43 2020  reduce to 179126342 relations and 139135752 ideals in 6 passes
Wed Mar 04 01:15:43 2020  max relations containing the same ideal: 160
Wed Mar 04 01:16:37 2020  removing 6161107 relations and 4161107 ideals in 2000000 cliques
Wed Mar 04 01:16:40 2020  commencing in-memory singleton removal
Wed Mar 04 01:16:49 2020  begin with 172965235 relations and 139135752 unique ideals
Wed Mar 04 01:17:41 2020  reduce to 172811928 relations and 134819641 ideals in 6 passes
Wed Mar 04 01:17:41 2020  max relations containing the same ideal: 156
Wed Mar 04 01:18:34 2020  removing 6130014 relations and 4130014 ideals in 2000000 cliques
Wed Mar 04 01:18:36 2020  commencing in-memory singleton removal
Wed Mar 04 01:18:45 2020  begin with 166681914 relations and 134819641 unique ideals
Wed Mar 04 01:19:35 2020  reduce to 166527214 relations and 130533174 ideals in 6 passes
Wed Mar 04 01:19:35 2020  max relations containing the same ideal: 151
Wed Mar 04 01:20:26 2020  removing 6106752 relations and 4106752 ideals in 2000000 cliques
Wed Mar 04 01:20:28 2020  commencing in-memory singleton removal
Wed Mar 04 01:20:37 2020  begin with 160420462 relations and 130533174 unique ideals
Wed Mar 04 01:21:25 2020  reduce to 160262070 relations and 126266130 ideals in 6 passes
Wed Mar 04 01:21:25 2020  max relations containing the same ideal: 146
Wed Mar 04 01:22:15 2020  removing 6085032 relations and 4085032 ideals in 2000000 cliques
Wed Mar 04 01:22:17 2020  commencing in-memory singleton removal
Wed Mar 04 01:22:25 2020  begin with 154177038 relations and 126266130 unique ideals
Wed Mar 04 01:23:11 2020  reduce to 154016318 relations and 122018380 ideals in 6 passes
Wed Mar 04 01:23:11 2020  max relations containing the same ideal: 142
Wed Mar 04 01:23:59 2020  removing 6064517 relations and 4064517 ideals in 2000000 cliques
Wed Mar 04 01:24:02 2020  commencing in-memory singleton removal
Wed Mar 04 01:24:09 2020  begin with 147951801 relations and 122018380 unique ideals
Wed Mar 04 01:24:53 2020  reduce to 147785913 relations and 117785829 ideals in 6 passes
Wed Mar 04 01:24:53 2020  max relations containing the same ideal: 138
Wed Mar 04 01:25:39 2020  removing 6055776 relations and 4055776 ideals in 2000000 cliques
Wed Mar 04 01:25:42 2020  commencing in-memory singleton removal
Wed Mar 04 01:25:49 2020  begin with 141730137 relations and 117785829 unique ideals
Wed Mar 04 01:26:31 2020  reduce to 141560953 relations and 113558562 ideals in 6 passes
Wed Mar 04 01:26:31 2020  max relations containing the same ideal: 134
Wed Mar 04 01:27:15 2020  removing 6046059 relations and 4046059 ideals in 2000000 cliques
Wed Mar 04 01:27:17 2020  commencing in-memory singleton removal
Wed Mar 04 01:27:24 2020  begin with 135514894 relations and 113558562 unique ideals
Wed Mar 04 01:28:04 2020  reduce to 135340196 relations and 109335376 ideals in 6 passes
Wed Mar 04 01:28:04 2020  max relations containing the same ideal: 129
Wed Mar 04 01:28:46 2020  removing 6038990 relations and 4038990 ideals in 2000000 cliques
Wed Mar 04 01:28:48 2020  commencing in-memory singleton removal
Wed Mar 04 01:28:54 2020  begin with 129301206 relations and 109335376 unique ideals
Wed Mar 04 01:29:32 2020  reduce to 129120843 relations and 105113409 ideals in 6 passes
Wed Mar 04 01:29:32 2020  max relations containing the same ideal: 127
Wed Mar 04 01:30:13 2020  removing 6036534 relations and 4036534 ideals in 2000000 cliques
Wed Mar 04 01:30:15 2020  commencing in-memory singleton removal
Wed Mar 04 01:30:21 2020  begin with 123084309 relations and 105113409 unique ideals
Wed Mar 04 01:31:03 2020  reduce to 122897968 relations and 100887762 ideals in 7 passes
Wed Mar 04 01:31:03 2020  max relations containing the same ideal: 123
Wed Mar 04 01:31:42 2020  removing 6039567 relations and 4039567 ideals in 2000000 cliques
Wed Mar 04 01:31:44 2020  commencing in-memory singleton removal
Wed Mar 04 01:31:50 2020  begin with 116858401 relations and 100887762 unique ideals
Wed Mar 04 01:32:24 2020  reduce to 116663578 relations and 96650415 ideals in 6 passes
Wed Mar 04 01:32:24 2020  max relations containing the same ideal: 118
Wed Mar 04 01:33:00 2020  removing 6044637 relations and 4044637 ideals in 2000000 cliques
Wed Mar 04 01:33:02 2020  commencing in-memory singleton removal
Wed Mar 04 01:33:08 2020  begin with 110618941 relations and 96650415 unique ideals
Wed Mar 04 01:33:40 2020  reduce to 110414830 relations and 92398432 ideals in 6 passes
Wed Mar 04 01:33:40 2020  max relations containing the same ideal: 115
Wed Mar 04 01:34:15 2020  removing 6053281 relations and 4053281 ideals in 2000000 cliques
Wed Mar 04 01:34:17 2020  commencing in-memory singleton removal
Wed Mar 04 01:34:22 2020  begin with 104361549 relations and 92398432 unique ideals
Wed Mar 04 01:34:53 2020  reduce to 104149375 relations and 88129439 ideals in 6 passes
Wed Mar 04 01:34:53 2020  max relations containing the same ideal: 110
Wed Mar 04 01:35:26 2020  removing 6065344 relations and 4065344 ideals in 2000000 cliques
Wed Mar 04 01:35:28 2020  commencing in-memory singleton removal
Wed Mar 04 01:35:33 2020  begin with 98084031 relations and 88129439 unique ideals
Wed Mar 04 01:36:05 2020  reduce to 97858171 relations and 83834204 ideals in 7 passes
Wed Mar 04 01:36:05 2020  max relations containing the same ideal: 107
Wed Mar 04 01:36:37 2020  removing 6083033 relations and 4083033 ideals in 2000000 cliques
Wed Mar 04 01:36:38 2020  commencing in-memory singleton removal
Wed Mar 04 01:36:43 2020  begin with 91775138 relations and 83834204 unique ideals
Wed Mar 04 01:37:09 2020  reduce to 91536742 relations and 79508275 ideals in 6 passes
Wed Mar 04 01:37:09 2020  max relations containing the same ideal: 104
Wed Mar 04 01:37:39 2020  removing 6106405 relations and 4106405 ideals in 2000000 cliques
Wed Mar 04 01:37:41 2020  commencing in-memory singleton removal
Wed Mar 04 01:37:45 2020  begin with 85430337 relations and 79508275 unique ideals
Wed Mar 04 01:38:09 2020  reduce to 85172386 relations and 75138973 ideals in 6 passes
Wed Mar 04 01:38:09 2020  max relations containing the same ideal: 99
Wed Mar 04 01:38:37 2020  removing 6139091 relations and 4139091 ideals in 2000000 cliques
Wed Mar 04 01:38:39 2020  commencing in-memory singleton removal
Wed Mar 04 01:38:42 2020  begin with 79033295 relations and 75138973 unique ideals
Wed Mar 04 01:39:09 2020  reduce to 78753341 relations and 70714177 ideals in 7 passes
Wed Mar 04 01:39:09 2020  max relations containing the same ideal: 95
Wed Mar 04 01:39:34 2020  removing 6183879 relations and 4183879 ideals in 2000000 cliques
Wed Mar 04 01:39:36 2020  commencing in-memory singleton removal
Wed Mar 04 01:39:39 2020  begin with 72569462 relations and 70714177 unique ideals
Wed Mar 04 01:40:03 2020  reduce to 72258710 relations and 66212789 ideals in 7 passes
Wed Mar 04 01:40:03 2020  max relations containing the same ideal: 87
Wed Mar 04 01:40:27 2020  removing 6243676 relations and 4243676 ideals in 2000000 cliques
Wed Mar 04 01:40:29 2020  commencing in-memory singleton removal
Wed Mar 04 01:40:32 2020  begin with 66015034 relations and 66212789 unique ideals
Wed Mar 04 01:40:53 2020  reduce to 65662537 relations and 61608221 ideals in 7 passes
Wed Mar 04 01:40:53 2020  max relations containing the same ideal: 79
Wed Mar 04 01:41:15 2020  removing 6335543 relations and 4335543 ideals in 2000000 cliques
Wed Mar 04 01:41:17 2020  commencing in-memory singleton removal
Wed Mar 04 01:41:19 2020  begin with 59326994 relations and 61608221 unique ideals
Wed Mar 04 01:41:39 2020  reduce to 58912151 relations and 56847280 ideals in 7 passes
Wed Mar 04 01:41:39 2020  max relations containing the same ideal: 75
Wed Mar 04 01:41:58 2020  removing 1342539 relations and 1035094 ideals in 307445 cliques
Wed Mar 04 01:41:59 2020  commencing in-memory singleton removal
Wed Mar 04 01:42:02 2020  begin with 57569612 relations and 56847280 unique ideals
Wed Mar 04 01:42:18 2020  reduce to 57548086 relations and 55790573 ideals in 6 passes
Wed Mar 04 01:42:18 2020  max relations containing the same ideal: 73
Wed Mar 04 01:42:25 2020  relations with 0 large ideals: 57938
Wed Mar 04 01:42:25 2020  relations with 1 large ideals: 29224
Wed Mar 04 01:42:25 2020  relations with 2 large ideals: 385538
Wed Mar 04 01:42:25 2020  relations with 3 large ideals: 2242637
Wed Mar 04 01:42:25 2020  relations with 4 large ideals: 6962920
Wed Mar 04 01:42:25 2020  relations with 5 large ideals: 12927824
Wed Mar 04 01:42:25 2020  relations with 6 large ideals: 15130401
Wed Mar 04 01:42:25 2020  relations with 7+ large ideals: 19811604
Wed Mar 04 01:42:25 2020  commencing 2-way merge
Wed Mar 04 01:42:51 2020  reduce to 38781353 relation sets and 37023840 unique ideals
Wed Mar 04 01:42:51 2020  commencing full merge
Wed Mar 04 01:54:33 2020  memory use: 4901.6 MB
Wed Mar 04 01:54:39 2020  found 16879012 cycles, need 16830040
Wed Mar 04 01:54:40 2020  weight of 16830040 cycles is about 2356771187 (140.03/cycle)
Wed Mar 04 01:54:40 2020  distribution of cycle lengths:
Wed Mar 04 01:54:40 2020  1 relations: 515313
Wed Mar 04 01:54:40 2020  2 relations: 738579
Wed Mar 04 01:54:40 2020  3 relations: 926980
Wed Mar 04 01:54:40 2020  4 relations: 1020735
Wed Mar 04 01:54:40 2020  5 relations: 1098406
Wed Mar 04 01:54:40 2020  6 relations: 1136205
Wed Mar 04 01:54:40 2020  7 relations: 1157416
Wed Mar 04 01:54:40 2020  8 relations: 1142766
Wed Mar 04 01:54:40 2020  9 relations: 1109962
Wed Mar 04 01:54:40 2020  10+ relations: 7983678
Wed Mar 04 01:54:40 2020  heaviest cycle: 28 relations
Wed Mar 04 01:55:05 2020  commencing cycle optimization
Wed Mar 04 01:55:31 2020  start with 166876867 relations
Wed Mar 04 02:01:30 2020  pruned 9316780 relations
Wed Mar 04 02:01:30 2020  memory use: 4101.0 MB
Wed Mar 04 02:01:30 2020  distribution of cycle lengths:
Wed Mar 04 02:01:30 2020  1 relations: 515313
Wed Mar 04 02:01:30 2020  2 relations: 758155
Wed Mar 04 02:01:30 2020  3 relations: 968134
Wed Mar 04 02:01:30 2020  4 relations: 1069615
Wed Mar 04 02:01:30 2020  5 relations: 1164311
Wed Mar 04 02:01:30 2020  6 relations: 1206679
Wed Mar 04 02:01:30 2020  7 relations: 1237767
Wed Mar 04 02:01:30 2020  8 relations: 1220293
Wed Mar 04 02:01:30 2020  9 relations: 1187023
Wed Mar 04 02:01:30 2020  10+ relations: 7502750
Wed Mar 04 02:01:30 2020  heaviest cycle: 28 relations
Wed Mar 04 02:02:05 2020  RelProcTime: 14822
Wed Mar 04 02:02:05 2020  
Wed Mar 04 02:02:05 2020  commencing linear algebra
Wed Mar 04 02:02:09 2020  read 16830040 cycles
Wed Mar 04 02:02:41 2020  cycles contain 56817268 unique relations
Wed Mar 04 02:11:11 2020  read 56817268 relations
Wed Mar 04 02:12:48 2020  using 20 quadratic characters above 4294917295
Wed Mar 04 02:16:28 2020  building initial matrix
Wed Mar 04 02:26:57 2020  memory use: 7687.8 MB
Wed Mar 04 02:27:16 2020  read 16830040 cycles
Wed Mar 04 02:27:18 2020  matrix is 16829863 x 16830040 (8970.5 MB) with weight 2572476430 (152.85/col)
Wed Mar 04 02:27:18 2020  sparse part has weight 2166438489 (128.72/col)
Wed Mar 04 02:30:13 2020  filtering completed in 2 passes
Wed Mar 04 02:30:15 2020  matrix is 16829755 x 16829925 (8970.5 MB) with weight 2572472657 (152.85/col)
Wed Mar 04 02:30:15 2020  sparse part has weight 2166437362 (128.73/col)
Wed Mar 04 02:31:08 2020  matrix starts at (0, 0)
Wed Mar 04 02:31:10 2020  matrix is 16829755 x 16829925 (8970.5 MB) with weight 2572472657 (152.85/col)
Wed Mar 04 02:31:10 2020  sparse part has weight 2166437362 (128.73/col)
Wed Mar 04 02:31:10 2020  saving the first 240 matrix rows for later
Wed Mar 04 02:31:15 2020  matrix includes 256 packed rows
Wed Mar 04 02:31:19 2020  matrix is 16829515 x 16829925 (8256.2 MB) with weight 1993116472 (118.43/col)
Wed Mar 04 02:31:19 2020  sparse part has weight 1895023869 (112.60/col)
Wed Mar 04 02:31:19 2020  using block size 8192 and superblock size 294912 for processor cache size 12288 kB
Wed Mar 04 02:32:09 2020  commencing Lanczos iteration (12 threads)
Wed Mar 04 02:32:09 2020  memory use: 10944.7 MB
Wed Mar 04 02:33:09 2020  linear algebra at 0.0%, ETA 159h 4m
Wed Mar 04 02:33:26 2020  checkpointing every 110000 dimensions
Tue Mar 10 03:59:02 2020  lanczos halted after 65939 iterations (dim = 16829514)
Tue Mar 10 04:00:02 2020  recovered 37 nontrivial dependencies
Tue Mar 10 04:00:18 2020  BLanczosTime: 521893
Tue Mar 10 04:00:18 2020  
Tue Mar 10 04:00:18 2020  commencing square root phase
Tue Mar 10 04:00:18 2020  handling dependencies 1 to 64
Tue Mar 10 04:00:18 2020  reading relations for dependency 1
Tue Mar 10 04:00:20 2020  read 8413366 cycles
Tue Mar 10 04:00:35 2020  cycles contain 28406292 unique relations
Tue Mar 10 04:07:13 2020  read 28406292 relations
Tue Mar 10 04:09:09 2020  multiplying 28406292 relations
Tue Mar 10 04:30:27 2020  multiply complete, coefficients have about 1012.98 million bits
Tue Mar 10 04:30:29 2020  initial square root is modulo 1224415183
Tue Mar 10 04:52:46 2020  found factor: 51278955117398903310136793362315043742824631806717035905919553780927957893105517233
Tue Mar 10 04:52:46 2020  reading relations for dependency 2
Tue Mar 10 04:52:48 2020  read 8414424 cycles
Tue Mar 10 04:53:03 2020  cycles contain 28405790 unique relations
Tue Mar 10 04:59:34 2020  read 28405790 relations
Tue Mar 10 05:01:27 2020  multiplying 28405790 relations
Tue Mar 10 05:22:17 2020  multiply complete, coefficients have about 1012.96 million bits
Tue Mar 10 05:22:19 2020  initial square root is modulo 1224014641
Tue Mar 10 05:44:33 2020  sqrtTime: 6255
Tue Mar 10 05:44:33 2020  p83 factor: 51278955117398903310136793362315043742824631806717035905919553780927957893105517233
Tue Mar 10 05:44:33 2020  p83 factor: 71043183443149161624625590524447658407320160208711418673135099221456799505742331833
Tue Mar 10 05:44:33 2020  p101 factor: 91499172017910820244583625229580670114050818117825460747153102208358621465166981750900340772697218779
Tue Mar 10 05:44:33 2020  elapsed time 150:49:32

NFS@Home; Intel 8700K+32Gb DDR4 for postprocessing

70921985815602836879432624113475177304964539007092198581560283687943262411347517730496453900709219858156028368794326241134751773049645390070921985815602836879432624113475177304964539007092198581560283687943262411347517730496453900709219858156028368794326241134751773<266>

73491698321237345777037133117065939646562034419542533669216585792459694853408567199549590607960293320801887529048548941257279940684800402056945852234449499221383810544504029844236232098944451068247405675273248940814176592964236570311555755585992657603027<254>

67861924224565947048242219165183<32>

1082959246455222474714529869100966123595378931364322810973723744462717004730216576652939949035200008931483881778445830290466025959561903119676214187077662084719797879913112350452329944306422237436191024075602655638560973869<223>

Input number is 73491698321237345777037133117065939646562034419542533669216585792459694853408567199549590607960293320801887529048548941257279940684800402056945852234449499221383810544504029844236232098944451068247405675273248940814176592964236570311555755585992657603027 (254 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3396696051
Step 1 took 8175ms
Step 2 took 4352ms
********** Factor found in step 2: 67861924224565947048242219165183
Found probable prime factor of 32 digits: 67861924224565947048242219165183
Composite cofactor 1082959246455222474714529869100966123595378931364322810973723744462717004730216576652939949035200008931483881778445830290466025959561903119676214187077662084719797879913112350452329944306422237436191024075602655638560973869 has 223 digits

GMP-ECM 6.4.4

1254628591110833893140628797500177659785457385787731808547271485129624269268067575952626029583524661593350045506532665790560394071346962807835304179323123583136774670899802070795802457051603732687648360293415877281687273072404648383852028890876165137231<253>

27202806965081335221021811723409186420719<41>
46121291553527097849562351324520928983704387488100519729672818164085905074490061078802148047819287922452595485794514781199970393545871084946399387351485386346045111563676511168018153375788582925951945142372838049<212>

Input number is 1254628591110833893140628797500177659785457385787731808547271485129624269268067575952626029583524661593350045506532665790560394071346962807835304179323123583136774670899802070795802457051603732687648360293415877281687273072404648383852028890876165137231 (253 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1101114931
Step 1 took 24398ms
Step 2 took 609ms
********** Factor found in step 2: 27202806965081335221021811723409186420719
Found probable prime factor of 41 digits: 27202806965081335221021811723409186420719
Probable prime cofactor 46121291553527097849562351324520928983704387488100519729672818164085905074490061078802148047819287922452595485794514781199970393545871084946399387351485386346045111563676511168018153375788582925951945142372838049 has 212 digits

GMP-ECM 6.4.4

1369016858901732363024765101842597971760633704348072340754160519335092933780135786573149524879540041056580348097373470126202899258250648336937373312358239134074455784975288920903544085048291168934427723199868797107997360811<223>

2106030855790099341550551774998094773723<40>

650045964491878954215102504129325239313810231556599220739732114363106198871709172082665005956559786206020086394071541097946465416434036401551899612907566825738497040836174238524518257<183>

Input number is 1369016858901732363024765101842597971760633704348072340754160519335092933780135786573149524879540041056580348097373470126202899258250648336937373312358239134074455784975288920903544085048291168934427723199868797107997360811 (223 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2047825433
Step 1 took 81105ms
Step 2 took 30373ms
********** Factor found in step 2: 2106030855790099341550551774998094773723
Found probable prime factor of 40 digits: 2106030855790099341550551774998094773723
Composite cofactor 650045964491878954215102504129325239313810231556599220739732114363106198871709172082665005956559786206020086394071541097946465416434036401551899612907566825738497040836174238524518257 has 183 digits

GMP-ECM 6.4.4

25241676699307653353421163729712996116396214473903049924672786867888841793925183561773829699357878609604603334771705357410560855079417506803322806978727921329867712342750576158452812417120416322418837<200>

32362942198905922226846395719772360175410653502723315124430707393768323812828406538343023017552164182709358348538223085298758902437269406042564553787421660677138946779916356533424788127268112425531597180747536712246896176069071121484321969<239>

95524601450772353094642941778826663<35>

338791700853982002227474113573837745452240303815806030657385227674235469298124445843609858803778862655500835107042463011515627533637344112105604878676446148730594282440867840412386941658192724390932479463<204>

Input number is 32362942198905922226846395719772360175410653502723315124430707393768323812828406538343023017552164182709358348538223085298758902437269406042564553787421660677138946779916356533424788127268112425531597180747536712246896176069071121484321969 (239 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1366850227
Step 1 took 22558ms
Step 2 took 9687ms
********** Factor found in step 2: 95524601450772353094642941778826663
Found probable prime factor of 35 digits: 95524601450772353094642941778826663
Composite cofactor 338791700853982002227474113573837745452240303815806030657385227674235469298124445843609858803778862655500835107042463011515627533637344112105604878676446148730594282440867840412386941658192724390932479463 has 204 digits

GMP-ECM 6.4.4

142305727429152043181636078827206017806756943667513199286008141296724701286249399015927454691894615360918694627911988836098388623615006628715401913052294375321274335406665242019832657769415362127055796659052774788287<216>

20531309053833822791751361764589692800911419471248526966989303521159107146607047685658893304260564868772349662469935691910967206151597877412000722711641360041538580831906259680647909107520337036518666952845792562282927631265088197<230>

1611084259706782664733365555018527468986628000644433703882713065893346222007410987594651200257773481553085226357338488802964395037860480103109392621234090542935395521185758015144192041243757048493636217174158208474303206057676816497502819397454486869663283389721282423070726599<277>

708330492176106807465915818890527030074542699<45>

2274481019103482380957882840600228845397084425705961542833874401987911269378984838868813646682158248768310123870341873478681313698176115956610560974590764938129797056124900875449866552642242166699154993409889525341402215942670286101<232>

Input number is 1611084259706782664733365555018527468986628000644433703882713065893346222007410987594651200257773481553085226357338488802964395037860480103109392621234090542935395521185758015144192041243757048493636217174158208474303206057676816497502819397454486869663283389721282423070726599 (277 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1279531595
Step 1 took 107111ms
********** Factor found in step 1: 708330492176106807465915818890527030074542699
Found probable prime factor of 45 digits: 708330492176106807465915818890527030074542699
Composite cofactor 2274481019103482380957882840600228845397084425705961542833874401987911269378984838868813646682158248768310123870341873478681313698176115956610560974590764938129797056124900875449866552642242166699154993409889525341402215942670286101 has 232 digits

GMP-ECM 6.4.4

30061532475795975483995249419593627254500445146230645606307510799176818526927471746138728632607086183868241585865537483366100149288603984914454415670214937764057253871300935341781884077508551600451188094190663345330977071342443244010765682226998364821<251>

439962251128310581663744547670398040818356823338748737098045463065894921441684566471221365192457195919752536892192882038185099538878514649048199243856005204164099750737591076194948905441518808671183196703381367280366303990674952404259201944939498313688421004079059059<267>

82483412785123501672508394568554697101552319<44>

5333948199675620758688415711815953838251225756675876428146942674466539135721540094230854053447334392258150926236614776517895230518335701384092321054327325474103829406002246578099627694707578514619620507654169125916779760461<223>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=418199075
Step 1 took 372318ms
Step 2 took 99262ms
********** Factor found in step 2: 82483412785123501672508394568554697101552319
Found probable prime factor of 44 digits: 82483412785123501672508394568554697101552319
Composite cofactor 5333948199...6779760461 has 223 digits