7130957417910029183954603359651113654363520363661737772861747852082451413849764495801897162122198910297975089436285965797053327364518717359<139>

750491505138190928743432645735452746605127116223295127817363<60>
9501716367325141374514648313557332041290555257414653855670118272465814194210293<79>

N=7130957417910029183954603359651113654363520363661737772861747852082451413849764495801897162122198910297975089436285965797053327364518717359
  ( 139 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=750491505138190928743432645735452746605127116223295127817363 (pp60)
 r2=9501716367325141374514648313557332041290555257414653855670118272465814194210293 (pp79)
Version: Msieve-1.40
Total time: 22.87 hours.
Scaled time: 42.67 units (timescale=1.866).
Factorization parameters were as follows:
n: 7130957417910029183954603359651113654363520363661737772861747852082451413849764495801897162122198910297975089436285965797053327364518717359
m: 10000000000000000000000000
deg: 6
c6: 7000
c3: -540
c0: -7
skew: 0.32
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 486911 x 487136
Total sieving time: 22.39 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,153.000,6,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 22.87 hours.
 --------- CPU info (if available) ----------

28806584362139917695473251028806584362139917695473251028806584362139917695473248806584362139917695473251028806584362139917695473251028806584362139917695473251<158>

151758938051635885421952744950933544517<39>
189818041243399417217914230319755179556711637177222105386214135221245607298902142900298462365617719781623989941978964103<120>

N=28806584362139917695473251028806584362139917695473251028806584362139917695473248806584362139917695473251028806584362139917695473251028806584362139917695473251
  ( 158 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=151758938051635885421952744950933544517 (pp39)
 r2=189818041243399417217914230319755179556711637177222105386214135221245607298902142900298462365617719781623989941978964103 (pp120)
Version: Msieve-1.40
Total time: 37.40 hours.
Scaled time: 72.10 units (timescale=1.928).
Factorization parameters were as follows:
n: 28806584362139917695473251028806584362139917695473251028806584362139917695473248806584362139917695473251028806584362139917695473251028806584362139917695473251
m: 100000000000000000000000000
deg: 6
c6: 7000
c3: -540
c0: -7
skew: 0.32
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 180000Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 3940001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 578668 x 578893
Total sieving time: 36.64 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.50 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,159.000,6,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 37.40 hours.
 --------- CPU info (if available) ----------

15930530056721231273372711087773836217541787394824983916878236312730643318365013909969775801711725761372703340394224842397091485297064511496931<143>

4719954508279338209061970148783489783<37>
542249698340486809635421196436499478781903632483437<51>
6224336943636749102596132474541675989755183399484747561<55>

Number: 77177_80
N=15930530056721231273372711087773836217541787394824983916878236312730643318365013909969775801711725761372703340394224842397091485297064511496931
  ( 143 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=4719954508279338209061970148783489783 (pp37)
 r2=542249698340486809635421196436499478781903632483437 (pp51)
 r3=6224336943636749102596132474541675989755183399484747561 (pp55)
Version: Msieve-1.40
Total time: 54.14 hours.
Scaled time: 151.59 units (timescale=2.800).
Factorization parameters were as follows:
name: 77177_80
n: 15930530056721231273372711087773836217541787394824983916878236312730643318365013909969775801711725761372703340394224842397091485297064511496931
m: 100000000000000000000000000
deg: 6
c6: 700000
c3: -5400
c0: -7
skew: 0.15
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 4350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 648224 x 648472
Total sieving time: 52.85 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.90 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,161.000,6,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 54.14 hours.
 --------- CPU info (if available) ----------

22518673293650951838491951135035708499866776233422766148493776724685749947939322354382914475920006489716316970298845860368707793230267951772731513<146>

893863922810147191126066501310965711<36>
20681768323728394293145840973443129546159<41>
1218102184784990125044792706391408823468872260883682946075556395033337<70>

Number: 77177_82
N=22518673293650951838491951135035708499866776233422766148493776724685749947939322354382914475920006489716316970298845860368707793230267951772731513
  ( 146 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=893863922810147191126066501310965711 (pp36)
 r2=20681768323728394293145840973443129546159 (pp41)
 r3=1218102184784990125044792706391408823468872260883682946075556395033337 (pp70)
Version: Msieve-1.40
Total time: 68.27 hours.
Scaled time: 149.37 units (timescale=2.188).
Factorization parameters were as follows:
name: 77177_82
n: 22518673293650951838491951135035708499866776233422766148493776724685749947939322354382914475920006489716316970298845860368707793230267951772731513
m: 1000000000000000000000000000
deg: 6
c6: 7000
c3: -540
c0: -7
skew: 0.32
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 5250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 768796 x 769044
Total sieving time: 66.45 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.37 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,165.000,6,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 68.27 hours.
 --------- CPU info (if available) ----------

26374700487358316450939283178725221601251557931572884710031649360220444741580263736463875452185104429256000292025577<116>

3971302332608803146976122540974649302386080546629696957<55>
6641322739594195737749803034194664045360748200374080200341661<61>

Number: c116
N = 26374700487358316450939283178725221601251557931572884710031649360220444741580263736463875452185104429256000292025577 (116 digits)
Divisors found:
r1=3971302332608803146976122540974649302386080546629696957 (pp55)
r2=6641322739594195737749803034194664045360748200374080200341661 (pp61)
Version: Msieve v. 1.48
Total time: 14.10 hours.
Factorization parameters were as follows:
n: 26374700487358316450939283178725221601251557931572884710031649360220444741580263736463875452185104429256000292025577
Y0: -21853195004117481445217
Y1: 1443639859801
c0: -85605066751118512553559697860
c1: -1130956564474740118602580
c2: 24778453813999424213
c3: 106489576050623
c4: -1292056143
c5: 5292
skew: 121271.47 
type: gnfs
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 9448557
Relations: 959354 relations
Pruned matrix : 534372 x 534599
Polynomial selection time: 0.00 hours.
Total sieving time: 12.95 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.63 hours.
time per square root: 0.39 hours.
Prototype def-par.txt line would be: gnfs,115,5,63,2000,2.6e-05,0.28,250,20,50000,3600,3400000,3400000,27,27,53,53,2.5,2.5,100000
total time: 14.10 hours.
x86 Family 6 Model 23 Stepping 6, GenuineIntel
Windows-Vista-6.0.6002-SP2
processors: 2, speed: 2.09GHz

factmsieve76.py via Msieve + GGNFS

Core 2 Duo@2.1GHz on WinVista32bit

7570909387262022750381307399253549356385456801547973092388936815726201626573269354083401461196068276471353428164758933301963<124>

216627484240256604339860718221685805495067923688647289<54>
34948978952575102345233124560033428071281254528429503538386031587962467<71>

Number: 77177_84
N=7570909387262022750381307399253549356385456801547973092388936815726201626573269354083401461196068276471353428164758933301963
  ( 124 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=216627484240256604339860718221685805495067923688647289 (pp54)
 r2=34948978952575102345233124560033428071281254528429503538386031587962467 (pp71)
Version: Msieve-1.40
Total time: 115.47 hours.
Scaled time: 233.48 units (timescale=2.022).
Factorization parameters were as follows:
name: 77177_84
n: 7570909387262022750381307399253549356385456801547973092388936815726201626573269354083401461196068276471353428164758933301963
m: 10000000000000000000000000000
deg: 6
c6: 70
c3: -54
c0: -7
skew: 0.68
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
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, 3950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 856426 x 856674
Total sieving time: 113.34 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.82 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,169.000,6,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
total time: 115.47 hours.
 --------- CPU info (if available) ----------

45184784749295004235296273824147132437902437340041616772903119054377548463806674393874941779832823847791770947157073164714841014298799<134>

34932049240113866879527420864469989337468757364720619<53>
1293505125871845840870013699562575162265475601860894274068703575288943292062118221<82>

Number: 77177_85
N=45184784749295004235296273824147132437902437340041616772903119054377548463806674393874941779832823847791770947157073164714841014298799
  ( 134 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=34932049240113866879527420864469989337468757364720619 (pp53)
 r2=1293505125871845840870013699562575162265475601860894274068703575288943292062118221 (pp82)
Version: Msieve v. 1.42
Total time: 3.48 hours.
Scaled time: 2.97 units (timescale=0.854).
Factorization parameters were as follows:
name: 77177_85
n: 45184784749295004235296273824147132437902437340041616772903119054377548463806674393874941779832823847791770947157073164714841014298799
m: 10000000000000000000000000000
deg: 6
c6: 7000
c3: -540
c0: -7
skew: 0.32
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 4750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 940946 x 941180
Total sieving time: 0.00 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 3.16 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,171.000,6,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 3.48 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.08 BogoMIPS (lpj=2913541)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.61 BogoMIPS).

Total time: 73 hours.

18201512775585727184879215688561662661851149240295911938527609445900796289886147089093443697755391<98>

2781606142823990443889520587385448670056901<43>
6543526236646454779269817732167564893186191401482517491<55>

Divisors found:
 r1=2781606142823990443889520587385448670056901 (pp43)
 r2=6543526236646454779269817732167564893186191401482517491 (pp55)
Version: Msieve v. 1.46
Total time: 1.27 hours.
Scaled time: 3.81 units (timescale=3.000).
Factorization parameters were as follows:
name: test
type: gnfs
n:  18201512775585727184879215688561662661851149240295911938527609445900796289886147089093443697755391
skew:  6180616.14
Y0:  -624046925672435688015791
Y1:   13042983746729
c0:  -29976084286049869145091546948
c1:   5617899073234295764227
c2:  -3448582783805554
c3:   756934280
c4:   120
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [750000, 1170001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 150688 x 150915
Total sieving time: 1.15 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,97,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,25,25,46,46,2.5,2.5,70000
total time: 1.27 hours.

158605672996941270665959597733046202689938352112093488050286472028952706428432447225118451118952327523244482594476626360798003621559803187562832438662729<153>

1206692590535913135118726194133788133<37>

131438341662893394340469192350275596184032645181212424826697497791118428244850525428451047052651037845050928877349013<117>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2224613420
Step 1 took 4383ms
********** Factor found in step 1: 1206692590535913135118726194133788133
Found probable prime factor of 37 digits: 1206692590535913135118726194133788133
Composite cofactor 131438341662893394340469192350275596184032645181212424826697497791118428244850525428451047052651037845050928877349013 has 117 digits

131438341662893394340469192350275596184032645181212424826697497791118428244850525428451047052651037845050928877349013<117>

11540565253673599287319002547115176817<38>
11389246434099392727497569680757828376477027349874409920169978375799467030981989<80>

Msieve v. 1.49
Sun Feb  6 12:36:10 2011
random seeds: 38f20955 5c16d99e
factoring 131438341662893394340469192350275596184032645181212424826697497791118428244850525428451047052651037845050928877349013 (117 digits)
searching for 15-digit factors
commencing number field sieve (117-digit input)
R0: -30186434632120352206251
R1:  2768296866877
A0:  344517813569731290225882560
A1:  82282070753826581501114
A2:  33960520433257553
A3: -52219800915131
A4:  37374875
A5:  5244
skew 59024.75, size 4.856e-11, alpha -4.866, combined = 5.322e-10 rroots = 5

commencing relation filtering
estimated available RAM is 8000.1 MB
commencing duplicate removal, pass 1
error -15 reading relation 12504
error -15 reading relation 24436
error -11 reading relation 36036
error -15 reading relation 47805
error -15 reading relation 60448
error -15 reading relation 72838
read 10M relations
found 987164 hash collisions in 10922299 relations
added 34753 free relations
commencing duplicate removal, pass 2
found 676587 duplicates and 10280465 unique relations
memory use: 49.3 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 344.5 MB
reading all ideals from disk
memory use: 282.7 MB
keeping 10649242 ideals with weight <= 200, target excess is 115878
commencing in-memory singleton removal
begin with 10280465 relations and 10649242 unique ideals
reduce to 4403137 relations and 3796525 ideals in 16 passes
max relations containing the same ideal: 103
removing 1231867 relations and 995770 ideals in 236097 cliques
commencing in-memory singleton removal
begin with 3171270 relations and 3796525 unique ideals
reduce to 2958244 relations and 2573867 ideals in 10 passes
max relations containing the same ideal: 76
removing 912579 relations and 676482 ideals in 236097 cliques
commencing in-memory singleton removal
begin with 2045665 relations and 2573867 unique ideals
reduce to 1853184 relations and 1689452 ideals in 11 passes
max relations containing the same ideal: 52
removing 185774 relations and 156461 ideals in 29313 cliques
commencing in-memory singleton removal
begin with 1667410 relations and 1689452 unique ideals
reduce to 1654777 relations and 1520143 ideals in 7 passes
max relations containing the same ideal: 48
relations with 0 large ideals: 513
relations with 1 large ideals: 5149
relations with 2 large ideals: 53085
relations with 3 large ideals: 217800
relations with 4 large ideals: 446110
relations with 5 large ideals: 492835
relations with 6 large ideals: 307144
relations with 7+ large ideals: 132141
commencing 2-way merge
reduce to 999387 relation sets and 864753 unique ideals
commencing full merge
memory use: 92.7 MB
found 486760 cycles, need 468953
weight of 468953 cycles is about 33055438 (70.49/cycle)
distribution of cycle lengths:
1 relations: 49489
2 relations: 47080
3 relations: 49351
4 relations: 47911
5 relations: 45192
6 relations: 41155
7 relations: 36483
8 relations: 31358
9 relations: 26838
10+ relations: 94096
heaviest cycle: 19 relations
commencing cycle optimization
start with 2857879 relations
pruned 74536 relations
memory use: 93.9 MB
distribution of cycle lengths:
1 relations: 49489
2 relations: 48123
3 relations: 51159
4 relations: 49203
5 relations: 46615
6 relations: 42190
7 relations: 36992
8 relations: 31689
9 relations: 26878
10+ relations: 86615
heaviest cycle: 19 relations
RelProcTime: 405

commencing linear algebra
read 468953 cycles
cycles contain 1558853 unique relations
read 1558853 relations
using 20 quadratic characters above 134217002
building initial matrix
memory use: 200.1 MB
read 468953 cycles
matrix is 468773 x 468953 (142.1 MB) with weight 45224985 (96.44/col)
sparse part has weight 31622237 (67.43/col)
filtering completed in 2 passes
matrix is 467596 x 467774 (141.9 MB) with weight 45165558 (96.55/col)
sparse part has weight 31598006 (67.55/col)
matrix starts at (0, 0)
matrix is 467596 x 467774 (141.9 MB) with weight 45165558 (96.55/col)
sparse part has weight 31598006 (67.55/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 467548 x 467774 (136.2 MB) with weight 35717063 (76.36/col)
sparse part has weight 31029590 (66.33/col)
using block size 65536 for processor cache size 6144 kB
commencing Lanczos iteration (6 threads)
memory use: 122.5 MB
linear algebra at 2.6%, ETA 0h21m 467774 dimensions (2.6%, ETA 0h21m)    
linear algebra completed 467489 of 467774 dimensions (99.9%, ETA 0h 0m)    
lanczos halted after 7394 iterations (dim = 467548)
recovered 33 nontrivial dependencies
BLanczosTime: 884

commencing square root phase
reading relations for dependency 1
read 234225 cycles
cycles contain 779966 unique relations
read 779966 relations
multiplying 779966 relations
multiply complete, coefficients have about 32.35 million bits
initial square root is modulo 1953350341
sqrtTime: 112
prp38 factor: 11540565253673599287319002547115176817
prp80 factor: 11389246434099392727497569680757828376477027349874409920169978375799467030981989
elapsed time 00:23:22

186447731603958122826660821056203532024257136736921360529371100922330583067546106401139907850612785668802639474867181321269342155596227<135>

301675718666556621582581446766163346138001<42>
618040233493367579512023993782146233708739781949166163379829488434835032246934868369322270227<93>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=838337499
Step 1 took 61261ms
Step 2 took 31840ms
********** Factor found in step 2: 301675718666556621582581446766163346138001
Found probable prime factor of 42 digits: 301675718666556621582581446766163346138001
Probable prime cofactor 618040233493367579512023993782146233708739781949166163379829488434835032246934868369322270227 has 93 digits

GMP-ECM 6.3

14374269579428563241715572402204364181423440856506686884992947945362395433803328683114525392900268440365332490960037015499329752571013794279726819691408127<155>

19685039436849657866987909726349945829<38>
730212892158116178097426233536802451223242169004695504106570566463344141641282321092342559288579872805965107498022163<117>

Input number is 14374269579428563241715572402204364181423440856506686884992947945362395433803328683114525392900268440365332490960037015499329752571013794279726819691408127 (155 digits)
Using B1=5000000, B2=23417929090, polynomial Dickson(12), sigma=294754256
Step 1 took 20357ms
Step 2 took 12549ms
********** Factor found in step 2: 19685039436849657866987909726349945829
Found probable prime factor of 38 digits: 19685039436849657866987909726349945829
Probable prime cofactor  has 117 digits

657738785758196160314781812769673352594475315493752473090611069509682593604730463706567377722544866084607179687812425703010103301753485541384184316922101468673600897791989<171>

55044964558230548226715805354895941529243390609498854364080111602501<68>
11949118162523157933642618955742334829658207744413603335544885387132310467425482592203495415286751669489<104>

Number: n
N=657738785758196160314781812769673352594475315493752473090611069509682593604730463706567377722544866084607179687812425703010103301753485541384184316922101468673600897791989
  ( 171 digits)
SNFS difficulty: 181 digits.
Divisors found:

Thu Feb  2 11:54:04 2012  prp68 factor: 55044964558230548226715805354895941529243390609498854364080111602501
Thu Feb  2 11:54:04 2012  prp104 factor: 11949118162523157933642618955742334829658207744413603335544885387132310467425482592203495415286751669489
Thu Feb  2 11:54:04 2012  elapsed time 02:22:46 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.069).
Factorization parameters were as follows:
name: KA_77177_90
n: 657738785758196160314781812769673352594475315493752473090611069509682593604730463706567377722544866084607179687812425703010103301753485541384184316922101468673600897791989
m: 1000000000000000000000000000000
deg: 6
c6: 70
c3: -54
c0: -7
skew: 0.68
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6634196 hash collisions in 77000100 relations
Msieve: matrix is 1117426 x 1117674 (306.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,181,6,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

79000488569139641380849168345218331209395804302120746526675743549624270889861384189711749978124139987843472023822085008382166685550292867339323078043502813<155>

39286117701352851829286310749<29>
167464370258094569477478772975518407<36>
4847514200095767319860923558441073134952461<43>
2477132019607073781736063645585979242886669584531<49>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=502752428
Step 1 took 5382ms
Step 2 took 3858ms
********** Factor found in step 2: 39286117701352851829286310749
Found probable prime factor of 29 digits: 39286117701352851829286310749
Composite cofactor has 127 digits

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3744395134
Step 1 took 5371ms
Step 2 took 3877ms
********** Factor found in step 2: 167464370258094569477478772975518407
Found probable prime factor of 36 digits: 167464370258094569477478772975518407

Comp. cofactor 
12007932640557196871872715376642299789469455670481891906057701558931248217428646289305980791
 
by GNFS

N=12007932640557196871872715376642299789469455670481891906057701558931248217428646289305980791

  ( 92 digits)
Divisors found:
 r1=4847514200095767319860923558441073134952461 (pp43)
 r2=2477132019607073781736063645585979242886669584531 (pp49)
Version: Msieve v. 1.46
Total time: 0.44 hours.
Scaled time: 1.33 units (timescale=3.000).
Factorization parameters were as follows:
name: test
type: gnfs
n:  
12007932640557196871872715376642299789469455670481891906057701558931248217428646289305980791

skew:  617671.41
Y0:  -8518933484019566178237
Y1:   648122775613
c0:  -94509413756248986022944520
c1:  -365646802223052666958
c2:  -217625778929405
c3:  -518416718
c4:   2280
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [450000, 610001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 84676 x 84902
Total sieving time: 0.41 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,91,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,900000,900000,25,25,44,44,2.4,2.4,40000

total time: 0.44 hours.

1651332861523944326492097192734135409294644963434772351969804199103562160887001651332861523944199103562160887001651332861523944326492097192734135409294644963434772351969804199103562160887<187>

17618684156602151457405368680304452757<38>
93726231019650213422357154973971951911912253276302557905350319391998018863794578922637532548209643620603074373647825684708221476360717680172905280091<149>

Number: n
N=1651332861523944326492097192734135409294644963434772351969804199103562160887001651332861523944199103562160887001651332861523944326492097192734135409294644963434772351969804199103562160887
  ( 187 digits)
SNFS difficulty: 189 digits.
Divisors found:

Thu Feb 10 05:31:00 2011  prp38 factor: 17618684156602151457405368680304452757
Thu Feb 10 05:31:00 2011  prp149 factor: 93726231019650213422357154973971951911912253276302557905350319391998018863794578922637532548209643620603074373647825684708221476360717680172905280091
Thu Feb 10 05:31:00 2011  elapsed time 02:44:00 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.083).
Factorization parameters were as follows:
name: KA_7_94_1_7_94
n: 1651332861523944326492097192734135409294644963434772351969804199103562160887001651332861523944199103562160887001651332861523944326492097192734135409294644963434772351969804199103562160887
m: 10000000000000000000000000000000
#  Diff: 189.85
deg: 6
c6: 7000
c3: -540
c0: -7
skew: 0.32
type: snfs
lss: 1
rlim: 10200000
alim: 10200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10200000/10200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 13600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3901266 hash collisions in 24996194 relations
Msieve: matrix is 1422959 x 1423184 (401.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,189,6,0,0,0,0,0,0,0,0,10200000,10200000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5659.83 BogoMIPS (lpj=2829919)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830456)
Total of 4 processors activated (22642.56 BogoMIPS).

68054642760219674256127694399377457744329898178357336502286817547937881577100613518586308706950346282283711833286162880022447764625687735869166724241697<152>

16385519239205563477142345869885463<35>
4153340627582042968724828742633364831171432338213856598404732083835619783672864925072608211777598773403298555033533319<118>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=1907371322
Step 1 took 4376ms
Step 2 took 3554ms
********** Factor found in step 2: 16385519239205563477142345869885463
Found probable prime factor of 35 digits: 16385519239205563477142345869885463
Probable prime cofactor 4153340627582042968724828742633364831171432338213856598404732083835619783672864925072608211777598773403298555033533319 has 118 digits

7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<193>

7561360046173779778582655360183561408364806872456775270433495743212570624432911847<82>
1028621535052217265514280258883802609929861144866809713484077027862306680278819515852994142689642991126705545191<112>

Number: 77177_96
N=7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
  ( 193 digits)
SNFS difficulty: 193 digits.
Divisors found:
 r1=7561360046173779778582655360183561408364806872456775270433495743212570624432911847 (pp82)
 r2=1028621535052217265514280258883802609929861144866809713484077027862306680278819515852994142689642991126705545191 (pp112)
Version: Msieve v. 1.42
Total time: 13.69 hours.
Scaled time: 14.02 units (timescale=1.024).
Factorization parameters were as follows:
name: 77177_96
n: 7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
m: 100000000000000000000000000000000
deg: 6
c6: 70
c3: -54
c0: -7
skew: 0.68
type: snfs
lss: 1
rlim: 11900000
alim: 11900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11900000/11900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5950000, 11950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2196112 x 2196337
Total sieving time: 0.00 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 13.02 hours.
Time per square root: 0.45 hours.
Prototype def-par.txt line would be:
snfs,193.000,6,0,0,0,0,0,0,0,0,11900000,11900000,28,28,55,55,2.5,2.5,100000
total time: 13.69 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.. 4787.35 BogoMIPS (lpj=2393675)
Calibrating delay using timer specific routine.. 4787.76 BogoMIPS (lpj=2393881)
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 (19150.66 BogoMIPS).

Total time : 13 days.

20458980834065931129025311718657273073238639053420573556151478598925504382105970756094427545612123376826412715735678875282240891642714878472419116924543209<155>

96817591996285221788706106564531615065898462576010830360291507465931997883<74>
211314704406725157848187589930354131259447895275244631208773249826551168109169323<81>

Number: 77177_98
N=20458980834065931129025311718657273073238639053420573556151478598925504382105970756094427545612123376826412715735678875282240891642714878472419116924543209
  ( 155 digits)
SNFS difficulty: 198 digits.
Divisors found:
 r1=96817591996285221788706106564531615065898462576010830360291507465931997883
 r2=211314704406725157848187589930354131259447895275244631208773249826551168109169323
Version: 
Total time: 257.92 hours.
Scaled time: 948.64 units (timescale=3.678).
Factorization parameters were as follows:
n: 20458980834065931129025311718657273073238639053420573556151478598925504382105970756094427545612123376826412715735678875282240891642714878472419116924543209
m: 1000000000000000000000000000000000
deg: 6
c6: 7
c3: -54
c0: -70
skew: 1.47
# Murphy_E = 1.663e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [8000000, 16100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 23207179
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2517183 x 2517431
Total sieving time: 239.18 hours.
Total relation processing time: 3.73 hours.
Matrix solve time: 14.75 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,198,6,0,0,0,0,0,0,0,0,16000000,16000000,28,28,55,55,2.5,2.5,100000
total time: 257.92 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 36991616k/38797312k available (5152k kernel code, 1057684k absent, 748012k reserved, 7166k data, 1260k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6667.05 BogoMIPS (lpj=3333525)
Total of 12 processors activated (80004.60 BogoMIPS).
x86info v1.25.  Dave Jones 2001-2009
Feedback to <davej@redhat.com>.

Found 12 CPUs
--------------------------------------------------------------------------
CPU #1
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)      Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x0 Package: 0  Core: 0   SMT ID 0
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #2
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x2 Package: 0  Core: 0   SMT ID 2
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #3
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x4 Package: 0  Core: 0   SMT ID 4
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #4
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x10        Package: 0  Core: 0   SMT ID 16
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #5
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x12        Package: 0  Core: 0   SMT ID 18
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #6
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x14        Package: 0  Core: 0   SMT ID 20
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #7
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x1 Package: 0  Core: 0   SMT ID 1
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #8
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x3 Package: 0  Core: 0   SMT ID 3
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #9
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x5 Package: 0  Core: 0   SMT ID 5
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #10
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x11        Package: 0  Core: 0   SMT ID 17
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #11
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x13        Package: 0  Core: 0   SMT ID 19
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #12
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x15        Package: 0  Core: 0   SMT ID 21
3.35GHz processor (estimate).

--------------------------------------------------------------------------

GGNFS / Msieve v1.39

Core i7 980

5946099626219683067793265668418472560831359865339531207806583232695597159565197410932311895350685236675576472235154988909250032894672575051032400042030429929335702599201540753335146044276526591<193>

30323361347745594637579113837259<32>

196089726268481406274195055712792623647715153015927116067114914339916032806873942741084493797403371921216602837286423082733480652027806912584125069752515978725149<162>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3722981833
Step 1 took 7386ms
Step 2 took 4823ms
********** Factor found in step 2: 30323361347745594637579113837259
Found probable prime factor of 32 digits: 30323361347745594637579113837259
Composite cofactor 196089726268481406274195055712792623647715153015927116067114914339916032806873942741084493797403371921216602837286423082733480652027806912584125069752515978725149 has 162 digits

196089726268481406274195055712792623647715153015927116067114914339916032806873942741084493797403371921216602837286423082733480652027806912584125069752515978725149<162>

68464667480681473802187788079273766758165857<44>
2864101053639260243425656948250601616771846858591051117023326918939497552648842545128059156222606638914029323102000957<118>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1895950942
Step 1 took 71210ms
Step 2 took 28373ms
********** Factor found in step 2: 68464667480681473802187788079273766758165857
Found probable prime factor of 44 digits: 68464667480681473802187788079273766758165857

404637899305084301761976419177396211584149427871609306896721609990801786595295000635935290781503023748581735792316834550225126521385318578083719786454226462291657<162>

139446493688537756224715123226140577841<39>
2901743088706609683782817610109404602463894654174297885673345120355678978316031238670387046822626615686357065219822563901977<124>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1952679035
Step 1 took 25942ms
Step 2 took 13853ms
********** Factor found in step 2: 139446493688537756224715123226140577841
Found probable prime factor of 39 digits: 139446493688537756224715123226140577841
Probable prime cofactor 2901743088706609683782817610109404602463894654174297885673345120355678978316031238670387046822626615686357065219822563901977 has 124 digits

GMP-ECM 6.3

32856272090076835731352256978515481748193469989823806056308546701674512613550046831026806733402634263796860800391182512401251061413329682570451441<146>

386597298051282540779008146043054629765151<42>
84988364522191814341138375183960845122543796139178450536916807326039006521665919904779093373447746167791<104>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3140137419
Step 1 took 239079ms
Step 2 took 72998ms
********** Factor found in step 2: 386597298051282540779008146043054629765151
Found probable prime factor of 42 digits: 386597298051282540779008146043054629765151

632546168134567269389195532127107219920810340998982338511441867524461450532276733724268592154547737281691234832619991425874221259612549028169161881524713544719508475083366083120981<180>

162334997952631436888521894858710481651467968563<48>
176373862026222592944256940448898725961494946869057971579<57>
22092549902121962349530343963240280473056781662217870689024805249011709149653<77>

Number: 77177_102
N = 632546168134567269389195532127107219920810340998982338511441867524461450532276733724268592154547737281691234832619991425874221259612549028169161881524713544719508475083366083120981 (180 digits)
SNFS difficulty: 206 digits.
Divisors found:
r1=162334997952631436888521894858710481651467968563 (pp48)
r2=176373862026222592944256940448898725961494946869057971579 (pp57)
r3=22092549902121962349530343963240280473056781662217870689024805249011709149653 (pp77)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 46.54 hours.
Factorization parameters were as follows:
n: 632546168134567269389195532127107219920810340998982338511441867524461450532276733724268592154547737281691234832619991425874221259612549028169161881524713544719508475083366083120981
m: 10000000000000000000000000000000000
deg: 6
c6: 70
c3: -54
c0: -7
skew: 0.68
# Murphy_E = 9.792e-12
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 38589358
Relations: 5915576 relations
Pruned matrix : 3543284 x 3543511
Total sieving time: 43.05 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 2.91 hours.
time per square root: 0.33 hours.
Prototype def-par.txt line would be: snfs,206,6,0,0,0,0,0,0,0,0,18900000,18900000,29,29,56,56,2.6,2.6,100000
total time: 46.54 hours.
Intel64 Family 6 Model 158 Stepping 12, GenuineIntel
processors: 16, speed: 3.60GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

14310485318920441607453310830953020228544237719391473799367173875403281308005727090787827394680674011267454230859759195728063832199853397067403313974874196609190781635382681723<176>

84402267464053601696374046655863<32>

169550958154236648701729702953342585911454299788764736521913583659427904510976157759341851944338344629995049194643777993307497895232872579272221<144>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2600493867
Step 1 took 14001ms
Step 2 took 9916ms
********** Factor found in step 2: 84402267464053601696374046655863
Found probable prime factor of 32 digits: 84402267464053601696374046655863
Composite cofactor 169550958154... has 144 digits

169550958154236648701729702953342585911454299788764736521913583659427904510976157759341851944338344629995049194643777993307497895232872579272221<144>

55936686627579342546829235612190891785750187049<47>

3031122656282617187816349309715103368926477846182754939134067645492788704522771814133670040662229<97>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1875473677
Step 1 took 70026ms
Step 2 took 25720ms
********** Factor found in step 2: 55936686627579342546829235612190891785750187049
Found probable prime factor of 47 digits: 55936686627579342546829235612190891785750187049
Composite cofactor 3031122656282617187816349309715103368926477846182754939134067645492788704522771814133670040662229 has 97 digits

GMP-ECM 6.3

3031122656282617187816349309715103368926477846182754939134067645492788704522771814133670040662229<97>

782736337405589501902819867684352301920477977<45>
3872469580662874195224020168649307411796472480354077<52>

N = 3031122656282617187816349309715103368926477846182754939134067645492788704522771814133670040662229 (97 digits)
Divisors found:
r1=782736337405589501902819867684352301920477977 (pp45)
r2=3872469580662874195224020168649307411796472480354077 (pp52)
Version: Msieve v. 1.48
Total time: 5.85 hours.
Factorization parameters were as follows:
n: 3031122656282617187816349309715103368926477846182754939134067645492788704522771814133670040662229
Y0: -339554876461404927595005
Y1: 6565332983519
c0: 843231947058119434566213344
c1: -2608793526517928275156
c2: 3691851411305018
c3: 781287641
c4: 228
skew: 2339364.49
type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Sieved algebraic special-q in [0, 0)
Total raw relations: 1988624
Relations: 237606 relations
Pruned matrix : 143460 x 143685
Polynomial selection time: 0.00 hours.
Total sieving time: 4.97 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.53 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: gnfs,96,4,60,2000,0.0001,0.3,220,15,10000,600,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 5.85 hours.
x86 Family 6 Model 13 Stepping 8, GenuineIntel
Windows-XP-5.1.2600-SP3
processors: 1, speed: 1.73GHz

1911612499761048437529868945308766381836404202270449474716193815660475773042440528369694933953788133255761736618029782922746277134656715358167910580229011177471373602816078299647990212544001223431999847071<205>

3602924344391845036782062618058576717054708223146481669<55>
530572478641296233979738568083091252869553878209320956488617126205060305460777666378068399232698049797938227203415325943992570479374337817544798469459<150>

Number: n
N=1911612499761048437529868945308766381836404202270449474716193815660475773042440528369694933953788133255761736618029782922746277134656715358167910580229011177471373602816078299647990212544001223431999847071  ( 205 digits)
SNFS difficulty: 210 digits.
Divisors found:

Mon Jul 13 04:18:17 2020  p55 factor: 3602924344391845036782062618058576717054708223146481669
Mon Jul 13 04:18:17 2020  p150 factor: 530572478641296233979738568083091252869553878209320956488617126205060305460777666378068399232698049797938227203415325943992570479374337817544798469459
Mon Jul 13 04:18:17 2020  elapsed time 02:56:23 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.118).
Factorization parameters were as follows:
#
# N = 7x10^209-54x10^104-7 = 7(104)17(104)
#
n: 1911612499761048437529868945308766381836404202270449474716193815660475773042440528369694933953788133255761736618029782922746277134656715358167910580229011177471373602816078299647990212544001223431999847071
m: 100000000000000000000000000000000000
deg: 6
c6: 7
c3: -54
c0: -70
skew: 1.47
# Murphy_E = 6.683e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 51500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8739046 hash collisions in 65941109 relations (58347750 unique)
Msieve: matrix is 2620007 x 2620233 (905.0 MB)

Sieving start time: 2020/07/12 04:58:10
Sieving end time  : 2020/07/13 01:20:55

Total sieving time: 20hrs 22min 45secs.

Total relation processing time: 2hrs 29min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 16sec.

Prototype def-par.txt line would be:
snfs,210,6,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149875] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283136K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2720K bss, 420324K reserved, 0K cma-reserved)
[    0.184729] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.29 BogoMIPS (lpj=11976592)
[    0.182226] smpboot: Total of 16 processors activated (95812.73 BogoMIPS)

55906467848236196882296434547851874531892028776580801329704048473182375475731845172069272928892406418410751861939664919394835603397963989112849700234838919967<158>

533021405364001707942150094274570686033392615336712728062280060506987378553586313701607982145082802434077744529488672548544960141022892419<138>

4599975101226877157368375686806667380967979583971<49>
115874845762064561297970797921851111697241179436239165306678456815864446450467938211589089<90>

Number: 77177_106
N = 533021405364001707942150094274570686033392615336712728062280060506987378553586313701607982145082802434077744529488672548544960141022892419 (138 digits)
Divisors found:
r1=4599975101226877157368375686806667380967979583971 (pp49)
r2=115874845762064561297970797921851111697241179436239165306678456815864446450467938211589089 (pp90)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 241.87 hours.
Factorization parameters were as follows:
# Murphy_E = 3.416e-11, selected by Erik Branger
n: 533021405364001707942150094274570686033392615336712728062280060506987378553586313701607982145082802434077744529488672548544960141022892419
Y0: -1140688306683468889434061175
Y1: 210221169691307
c0: 295637247071857907278719248896674192
c1: -19936708358228658625557235668
c2: -66744412395170471489596
c3: -392999144858683
c4: 2138305044
c5: 276
skew: 4574793.89
type: gnfs
# selected mechanically
rlim: 16000000
alim: 16000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [8000000, 18300000)
Relations: 23455312
Relations in full relation-set: 3847788 relations
Pruned matrix : 2319468 x 2319698
Polynomial selection time: 0.00 hours.
Total sieving time: 236.71 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 4.88 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,16000000,16000000,28,28,56,56,2.6,2.6,100000
total time: 241.87 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

84411380750694268800181579709913370041405599048636953924162339376558071641746838667637145071801736335152481319588383022812181000245478401178348140024599015183191151334808204301021940201105831800051<197>

20215708596152060170052091249727<32>
4175534107508923669575013580704411744569577501374061526451487575128105691047492970552703350070434622584369962763428892372376523705959124927635284286436214311462836813<166>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=728637195
Step 1 took 27131ms
Step 2 took 9942ms
********** Factor found in step 2: 20215708596152060170052091249727
Found probable prime factor of 32 digits: 20215708596152060170052091249727

11709427843052964669736972829561114992806644774545898643126143397640935201364542081605489392184226017540024624475512455137066945824568064044147834052186995823557828854949966342974880418720835226463<197>

5671062439324672791665233806184311338142251603310197<52>
2064767928114605387855642882071856593615926586011608178232619629601338721303131274208754478102546292501388791614543549051426740611909050993739779<145>

Number: 77177_109
N = 11709427843052964669736972829561114992806644774545898643126143397640935201364542081605489392184226017540024624475512455137066945824568064044147834052186995823557828854949966342974880418720835226463 (197 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=5671062439324672791665233806184311338142251603310197 (pp52)
r2=2064767928114605387855642882071856593615926586011608178232619629601338721303131274208754478102546292501388791614543549051426740611909050993739779 (pp145)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 34.52 hours.
Factorization parameters were as follows:
n: 11709427843052964669736972829561114992806644774545898643126143397640935201364542081605489392184226017540024624475512455137066945824568064044147834052186995823557828854949966342974880418720835226463
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 7
c2: -54
c0: -70
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 29850248
Relations: 8860054 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 11.88 hours.
Total relation processing time: 0.23 hours.
Pruned matrix : 7483958 x 7484183
Matrix solve time: 22.16 hours.
time per square root: 0.25 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,536870912,29,29,58,58,2.8,2.8,100000
total time: 34.52 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.16299-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

4322201303627121207336122503530387926503068650715325713036279562946596674486427221335599754123155912682144810900151347667644937226987006837809300366505012861929679689189515167760291471233<187>

276523593281373291611518314728907075768561112159<48>
15630497392058393753792283341573257177949121564478922582091600127316558994044693018978460829164741215321233877355190729673461444157960902687<140>

Number: 77177_111
N = 4322201303627121207336122503530387926503068650715325713036279562946596674486427221335599754123155912682144810900151347667644937226987006837809300366505012861929679689189515167760291471233 (187 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=276523593281373291611518314728907075768561112159 (pp48)
r2=15630497392058393753792283341573257177949121564478922582091600127316558994044693018978460829164741215321233877355190729673461444157960902687 (pp140)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 68.27 hours.
Factorization parameters were as follows:
n: 4322201303627121207336122503530387926503068650715325713036279562946596674486427221335599754123155912682144810900151347667644937226987006837809300366505012861929679689189515167760291471233
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 7000
c2: -540
c0: -7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 22369622
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/22369622
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 34325661
Relations: 8971334 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 35.63 hours.
Total relation processing time: 0.39 hours.
Pruned matrix : 7769215 x 7769440
Matrix solve time: 32.00 hours.
time per square root: 0.25 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,22369622,29,28,58,56,2.8,2.8,100000
total time: 68.27 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

59800601024358037510031165844607142262738078542331907342178867993901848638613178351496237420435307888670223114236229707501684814074699535607445526528427<152>

674500342648349092829598044645647871150944509421672897091710232212746097497816751222354930555984627168058371123237193011305816078592701945876622281490481480949430008891223751701<177>

3844813578976147385973595444962414084575456954244318138592516777667954114712369452430099062275828508805988186329695277345003150832099598838499070398423768223898523314708774335048037921759062231630839643052669767<211>

39854344018327051742526461805534827578454130806614792594404736153368382454521257337922218592192138042321284338561167400901653805546322556806107734104397612136538878297801742995362891424182874859046263389249<206>

28654780964751233828031569443921<32>

1390844483067331895076746491976388732488390379905675870278253524587996585965952747615139072018338379144324640330290752353615077055885838318524837980214938663099371470563734769<175>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3943343841
Step 1 took 5368ms
Step 2 took 3556ms
********** Factor found in step 2: 28654780964751233828031569443921
Found probable prime factor of 32 digits: 28654780964751233828031569443921
Composite cofactor 139084448306... has 175 digits

1868999393713554977373970184534313261414593126143779549207723348555301837320221671478972761455692088777137052140806738556758857632406768489351174694429577152785106422628069990584909596000162941247337466883473<208>

33217318977812336400109929820838149<35>

56265811065666132341202568103230560014729704252755642439454005653522077843367529485021605658921222905938426746657231076812161542340252316160659177899447690099539397002754077<173>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=978362041
Step 1 took 104438ms
Step 2 took 33637ms
********** Factor found in step 2: 33217318977812336400109929820838149
Found probable prime factor of 35 digits: 33217318977812336400109929820838149

81039375943646388331305433886360902362038097399305180299457986875297822566190286844309108721933199601431013364970521092241845615443599451620862133052947922031464574026170179760700620070655777619573427435554496520157328410117<224>

1492613830717488452447602626811417063759<40>
54293598435096476636757736001284406114859090966443511794316673491899607986936722742757427275976692989795245162007761661636405022003595594067361561382716441981149266631943046264342918763<185>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3019337387
Step 1 took 113696ms
Step 2 took 35591ms
********** Factor found in step 2: 1492613830717488452447602626811417063759
Found probable prime factor of 40 digits: 1492613830717488452447602626811417063759

910533917783287127000772316272816723667718944614664387711701116157699340158404214568059734187533383910260962116191863831111230998365785103926108387039541740820161876322686508809192806272705911791<195>

58776377615487247119404333689<29>

15491494282617486906798351883547695696856991985471256789754013205950672311500005975079883861263265605630496777221313857508637197819313419936743871640181893448119185319<167>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3728702167
Step 1 took 27408ms
Step 2 took 9973ms
********** Factor found in step 2: 58776377615487247119404333689
Found probable prime factor of 29 digits: 58776377615487247119404333689

15491494282617486906798351883547695696856991985471256789754013205950672311500005975079883861263265605630496777221313857508637197819313419936743871640181893448119185319<167>

23429942857596605289580833389432884678871<41>
7165853012158571511929288458116661432704843759484967825385853<61>
92268654181895155308461029287930123109789980639379842750486604613<65>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1385793763
Step 1 took 69588ms
Step 2 took 25281ms
********** Factor found in step 2: 23429942857596605289580833389432884678871
Found probable prime factor of 41 digits: 23429942857596605289580833389432884678871
Composite cofactor 661183613497150974532647034805569418215499599784463415199056233448091843875569007585447539447806208377765797062605084574739889 has 126 digits

Fri Dec 16 22:12:11 2011  commencing relation filtering
Fri Dec 16 22:12:11 2011  estimated available RAM is 2006.1 MB
Fri Dec 16 22:12:11 2011  commencing duplicate removal, pass 1
Fri Dec 16 22:12:12 2011  error -6 reading relation 19817
Fri Dec 16 22:12:18 2011  error -1 reading relation 140528
Fri Dec 16 22:15:35 2011  found 1543762 hash collisions in 11830285 relations
Fri Dec 16 22:16:20 2011  added 217 free relations
Fri Dec 16 22:16:20 2011  commencing duplicate removal, pass 2
Fri Dec 16 22:16:32 2011  found 1291727 duplicates and 10538775 unique relations
Fri Dec 16 22:16:32 2011  memory use: 49.3 MB
Fri Dec 16 22:16:32 2011  reading ideals above 720000
Fri Dec 16 22:16:32 2011  commencing singleton removal, initial pass
Fri Dec 16 22:20:13 2011  memory use: 344.5 MB
Fri Dec 16 22:20:13 2011  reading all ideals from disk
Fri Dec 16 22:20:14 2011  memory use: 310.3 MB
Fri Dec 16 22:20:17 2011  commencing in-memory singleton removal
Fri Dec 16 22:20:20 2011  begin with 10538775 relations and 11357544 unique ideals
Fri Dec 16 22:20:51 2011  reduce to 4317623 relations and 4117040 ideals in 19 passes
Fri Dec 16 22:20:51 2011  max relations containing the same ideal: 81
Fri Dec 16 22:20:58 2011  removing 394956 relations and 362037 ideals in 32919 cliques
Fri Dec 16 22:20:59 2011  commencing in-memory singleton removal
Fri Dec 16 22:21:00 2011  begin with 3922667 relations and 4117040 unique ideals
Fri Dec 16 22:21:11 2011  reduce to 3895040 relations and 3727079 ideals in 9 passes
Fri Dec 16 22:21:11 2011  max relations containing the same ideal: 74
Fri Dec 16 22:21:17 2011  removing 286561 relations and 253642 ideals in 32919 cliques
Fri Dec 16 22:21:17 2011  commencing in-memory singleton removal
Fri Dec 16 22:21:18 2011  begin with 3608479 relations and 3727079 unique ideals
Fri Dec 16 22:21:26 2011  reduce to 3591918 relations and 3456718 ideals in 7 passes
Fri Dec 16 22:21:26 2011  max relations containing the same ideal: 70
Fri Dec 16 22:21:33 2011  relations with 0 large ideals: 471
Fri Dec 16 22:21:33 2011  relations with 1 large ideals: 2376
Fri Dec 16 22:21:33 2011  relations with 2 large ideals: 33665
Fri Dec 16 22:21:33 2011  relations with 3 large ideals: 194206
Fri Dec 16 22:21:33 2011  relations with 4 large ideals: 587401
Fri Dec 16 22:21:33 2011  relations with 5 large ideals: 998120
Fri Dec 16 22:21:33 2011  relations with 6 large ideals: 991989
Fri Dec 16 22:21:33 2011  relations with 7+ large ideals: 783690
Fri Dec 16 22:21:33 2011  commencing 2-way merge
Fri Dec 16 22:21:41 2011  reduce to 2075648 relation sets and 1940448 unique ideals
Fri Dec 16 22:21:41 2011  commencing full merge
Fri Dec 16 22:23:01 2011  memory use: 218.8 MB
Fri Dec 16 22:23:02 2011  found 1031073 cycles, need 1014648
Fri Dec 16 22:23:03 2011  weight of 1014648 cycles is about 71046153 (70.02/cycle)
Fri Dec 16 22:23:03 2011  distribution of cycle lengths:
Fri Dec 16 22:23:03 2011  1 relations: 136168
Fri Dec 16 22:23:03 2011  2 relations: 124559
Fri Dec 16 22:23:03 2011  3 relations: 118690
Fri Dec 16 22:23:03 2011  4 relations: 103066
Fri Dec 16 22:23:03 2011  5 relations: 91732
Fri Dec 16 22:23:03 2011  6 relations: 75941
Fri Dec 16 22:23:03 2011  7 relations: 66598
Fri Dec 16 22:23:03 2011  8 relations: 55424
Fri Dec 16 22:23:03 2011  9 relations: 46881
Fri Dec 16 22:23:03 2011  10+ relations: 195589
Fri Dec 16 22:23:03 2011  heaviest cycle: 22 relations
Fri Dec 16 22:23:03 2011  commencing cycle optimization
Fri Dec 16 22:23:08 2011  start with 5960785 relations
Fri Dec 16 22:23:30 2011  pruned 125884 relations
Fri Dec 16 22:23:31 2011  memory use: 202.7 MB
Fri Dec 16 22:23:31 2011  distribution of cycle lengths:
Fri Dec 16 22:23:31 2011  1 relations: 136168
Fri Dec 16 22:23:31 2011  2 relations: 127310
Fri Dec 16 22:23:31 2011  3 relations: 122447
Fri Dec 16 22:23:31 2011  4 relations: 105150
Fri Dec 16 22:23:31 2011  5 relations: 93243
Fri Dec 16 22:23:31 2011  6 relations: 76495
Fri Dec 16 22:23:31 2011  7 relations: 66958
Fri Dec 16 22:23:31 2011  8 relations: 54933
Fri Dec 16 22:23:31 2011  9 relations: 46355
Fri Dec 16 22:23:31 2011  10+ relations: 185589
Fri Dec 16 22:23:31 2011  heaviest cycle: 22 relations
Fri Dec 16 22:23:34 2011  RelProcTime: 683
Fri Dec 16 22:23:35 2011
Fri Dec 16 22:23:35 2011  commencing linear algebra
Fri Dec 16 22:23:35 2011  read 1014648 cycles
Fri Dec 16 22:23:40 2011  cycles contain 3447981 unique relations
Fri Dec 16 22:24:40 2011  read 3447981 relations
Fri Dec 16 22:24:50 2011  using 20 quadratic characters above 134216934
Fri Dec 16 22:25:43 2011  building initial matrix
Fri Dec 16 22:27:09 2011  memory use: 439.4 MB
Fri Dec 16 22:27:12 2011  read 1014648 cycles
Fri Dec 16 22:27:12 2011  matrix is 1014462 x 1014648 (308.0 MB) with weight 96609416 (95.21/col)
Fri Dec 16 22:27:12 2011  sparse part has weight 68560507 (67.57/col)
Fri Dec 16 22:27:54 2011  filtering completed in 2 passes
Fri Dec 16 22:27:55 2011  matrix is 1011327 x 1011513 (307.7 MB) with weight 96466939 (95.37/col)
Fri Dec 16 22:27:55 2011  sparse part has weight 68512480 (67.73/col)
Fri Dec 16 22:28:02 2011  matrix starts at (0, 0)
Fri Dec 16 22:28:02 2011  matrix is 1011327 x 1011513 (307.7 MB) with weight 96466939 (95.37/col)
Fri Dec 16 22:28:02 2011  sparse part has weight 68512480 (67.73/col)
Fri Dec 16 22:28:02 2011  saving the first 48 matrix rows for later
Fri Dec 16 22:28:03 2011  matrix includes 64 packed rows
Fri Dec 16 22:28:03 2011  matrix is 1011279 x 1011513 (294.6 MB) with weight 76616633 (75.74/col)
Fri Dec 16 22:28:03 2011  sparse part has weight 67102072 (66.34/col)
Fri Dec 16 22:28:03 2011  using block size 65536 for processor cache size 2048 kB
Fri Dec 16 22:28:11 2011  commencing Lanczos iteration (8 threads)
Fri Dec 16 22:28:11 2011  memory use: 283.5 MB
Fri Dec 16 22:28:25 2011  linear algebra at 0.2%, ETA 2h24m
Fri Dec 16 22:28:29 2011  checkpointing every 430000 dimensions
Sat Dec 17 00:52:23 2011  lanczos halted after 15994 iterations (dim = 1011279)
Sat Dec 17 00:52:26 2011  recovered 30 nontrivial dependencies
Sat Dec 17 00:52:26 2011  BLanczosTime: 8931
Sat Dec 17 00:52:26 2011
Sat Dec 17 00:52:26 2011  commencing square root phase
Sat Dec 17 00:52:26 2011  reading relations for dependency 1
Sat Dec 17 00:52:26 2011  read 505363 cycles
Sat Dec 17 00:52:28 2011  cycles contain 1723722 unique relations
Sat Dec 17 00:53:00 2011  read 1723722 relations
Sat Dec 17 00:53:20 2011  multiplying 1723722 relations
Sat Dec 17 00:57:33 2011  multiply complete, coefficients have about 73.65 million bits
Sat Dec 17 00:57:35 2011  initial square root is modulo 193771
Sat Dec 17 01:03:06 2011  sqrtTime: 640

prp65 = 92268654181895155308461029287930123109789980639379842750486604613
prp61 = 7165853012158571511929288458116661432704843759484967825385853
NFS elapsed time = 91738.2622 seconds.

32543003254300325430032543003254300325430032543003254300325430032543003254300325430032543003254300325430032543003254300300325430032543003254300325430032543003254300325430032543003254300325430032543003254300325430032543003254300325430032543<239>

2642828548982395958356691706102234442763<40>

12313702024609503472280319442086883049818975694618820712041081389208320236422761221743821357078979129543284854270861302724067250712249202217799308869583436160487529440814630119193864837951907782848061<200>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2389144137
Step 1 took 517941ms
Step 2 took 123729ms
********** Factor found in step 2: 2642828548982395958356691706102234442763
Found probable prime factor of 40 digits: 2642828548982395958356691706102234442763

391674740868450329496068780809972949058326854620232171925506642585128918239354612381984550019695123016106153591851293811648428863858970690414061813015088840067269715926655444153294918746266742277804549487219611188562180434274919<228>

5446608709364148176623226468535163067806080777924725796065354410009920962173553419347085183906627625254616290304886820732865128126139798265628090334633057005948241202286015362915753630536814427445033338173252073984385141124317033524378883<238>

5239617004472767000264242413397461900479391129251101950248732930892998738162372878074092666549071707494319022152149036607449079539750574830143903562276852821619101204889227931223<178>

5390989267446126383374854891072995916691854555629666022057076625730106259966051975655097357204602521763426891656902749915065167257876228448075109884150383432025628845751699420602317561080814425232002324427701499865741848151155141085753<235>

164187329950046508736669022125123892009070608676076787124717316331450398474879455867987859187743339611258509438125407057405890774605555291784111963705880890081524326100290034471618903675458303165022673494790950357843995041208367461447251<237>

1358023291229176481207223377901616982280419<43>

120901703976989214721255667645379181745850329905708822457614556725274013509218089798867987263203579137701961835031630760066896207782645137990092339128167989846870647060625498786528891718315902929<195>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1577319038
Step 1 took 133464ms
Step 2 took 37811ms
********** Factor found in step 2: 1358023291229176481207223377901616982280419
Found probable prime factor of 43 digits: 1358023291229176481207223377901616982280419

115352762367184291918661161657126078636284614478107462069840629892393884221312388844327292838142974175767805989586390953987597425803574821325698246049218561744549300599805196539445472806081464866179449885939106176497909876333615738318264068671318715037<252>

3491529210695703270271032191365677221<37>
33037891252297363117743803454969012612172982799576637357633409200313184537993483703751451210716156093038368244343730841217148718436515959967433128985255152559688079602743412699916208624391975076546542880385542252697<215>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=578263235
Step 1 took 28773ms
Step 2 took 9547ms
********** Factor found in step 2: 3491529210695703270271032191365677221
Found probable prime factor of 37 digits: 3491529210695703270271032191365677221
Probable prime cofactor 33037891252297363117743803454969012612172982799576637357633409200313184537993483703751451210716156093038368244343730841217148718436515959967433128985255152559688079602743412699916208624391975076546542880385542252697 has 215 digits

GMP-ECM 6.3

3820810578941666453705900974379881377670838355284698411833122635442189420716711834712359157357111184834066692908650566239786929074073476351372626933976905089099456571<166>

127980264538944511081247108145949230598417418936850603248390563635168265863703643187178307999367628621685580107638023921913622166354050861049925837669983425619904866442389064801231806735487950462920465847542552268753021858213589<228>

325430032543003254300325430032543003254300325430032543003254300325430032543003254300325430032543003254300325430032543003254300325430030032543003254300325430032543003254300325430032543003254300325430032543003254300325430032543003254300325430032543003254300325430032543<267>

531270683104158064307154125212354565227<39>

612550330542521574788851942349655547314694205321622619243906255834225391699662079710034812307943146379074870742474088078314837524493486510811619673331867042603926124414893932316869469761720770412609950667827153323756264570116509<228>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=730246709
Step 1 took 23244ms
Step 2 took 8082ms
********** Factor found in step 2: 531270683104158064307154125212354565227
Found probable prime factor of 39 digits: 531270683104158064307154125212354565227
Composite cofactor 612550330542521574788851942349655547314694205321622619243906255834225391699662079710034812307943146379074870742474088078314837524493486510811619673331867042603926124414893932316869469761720770412609950667827153323756264570116509 has 228 digits

GMP-ECM 6.3

43376003811502116393064413994022721733056833800417480794176444344716876454758837483479024119623871460420221618291918562608098349100762307385480123739879288956976245257954551439395322998073738299918920172484608038008278506715190100562651167<239>

7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<277>

9869773128947695143722447933889180013<37>

788040178448056818151046668586254583392639418290803388200466549566200131570538823154612531060644330365794475409682697074897198028398224483303557507171829151514260812563046942304814914387786965476459816934486470117325957742410438262402119829<240>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3559569307
Step 1 took 29081ms
Step 2 took 17069ms
********** Factor found in step 2: 9869773128947695143722447933889180013
Found probable prime factor of 37 digits: 9869773128947695143722447933889180013
Composite cofactor ((10^277*7-10^138*54-7)/9)/9869773128947695143722447933889180013 has 240 digits

148854936631328138143465815692513418034725322791154991763021293629014506828085605678091347704538384313556847030524384786366847861731917330133636809517666970994968225072740393528227665636983450493228578099897<207>

1929681501246390352006803929376024693521<40>
77139640160918801827980441837148660041552822580749292227988806093643401961407326758800508872792305529005404786997014578293322375596974305748423454895818344263793065257<167>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3173011646
Step 1 took 45865ms
Step 2 took 10259ms
********** Factor found in step 2: 1929681501246390352006803929376024693521
Found probable prime factor of 40 digits: 1929681501246390352006803929376024693521

587849812598331008153056777730511152018970808598358974562382579430503840513688103847193454883369874868159136667170220390939450277824979970875251143933816074073482832081468600025973541893990315999145573784641734193895235615513581170708835950643<243>

570256196461622260572069272163821<33>

1030852126194989592613565667896509114452070497214025620569821394615065426947688841660393849198525047980109454309301832827459434204344695356663508069872335659449023478854152209455447820957253394940836868601383583<211>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3020613638
Step 1 took 35020ms
Step 2 took 12471ms
********** Factor found in step 2: 570256196461622260572069272163821
Found probable prime factor of 33 digits: 570256196461622260572069272163821

259583291866541376788368407049760585277791980557808804476832216257286762414448781368337400039588904958057500437809232365466619652811842148151258717169246049115977339123867597841476667378307243165066106492551549211653326922901590189904432669825590439483774201<258>

29165053635341428100964646228593370332831055038696998081069759133528566329646126275928811185902465142014963165322855330769609723002707116323295870468841712380592912322365144221963515312143221714538387016539787793201152963099307571300644003392902860367<251>

1179683374081384076754534129706184017950868579603093061880344504164442043401003005065303564237506645645014364894473211968475731395743787752790820668586305358363213643239330540559418003069084811725727358183366160892042311185058102388570015878588258886437992053<259>

551812776179758176762882356939877127158553<42>
2137832658113539538468202926136234385213825707024574828856255882492281707814162719472975410216909455646298680852168741791226552157329128643915333582725614534943642498022880665408181394339548792094122535879255933869501<217>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2496389505
Step 1 took 160642ms
Step 2 took 47159ms
********** Factor found in step 2: 551812776179758176762882356939877127158553
Found probable prime factor of 42 digits: 551812776179758176762882356939877127158553

7364484842309246762901085604330130249031895758360720566714864150300555207807690638850749777780832993611828225671368373269252388952701106176645805022339101038372334093212479087960008498706867514007378093382294952384378335310351398083964759687089524233729716726736907<265>

127770873819329576677521982131199<33>

57638213014984675677099375433570818534291187975308024968609889049801450404242976513740334324848070407883466627187762656163866202607192367728679201569536630008912517709230638035969712494482018909531797749388570894002403688521990984693<233>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3200107130
Step 1 took 39800ms
Step 2 took 13502ms
********** Factor found in step 2: 127770873819329576677521982131199
Found probable prime factor of 33 digits: 127770873819329576677521982131199

13508301789390734486536807028908543076286530796300833822907460868609522258248212752556987013421084907502940858423093872162952479375306425547308417751680622215706962290288333207900889720950528238969211564898726584072539043224554816015387<236>

110567809937474526443866419826496673111746731596312584384813288190158251453970569783876210386293938613009272649874732140959571702050524381052594467437577263588489433616841880167512075862780223773986938004083495861943179091961866281387995075808136820290470641515270645110414322040183<282>

1075053917431252518781122390755761<34>
102848618236438462068544098095329455990626767238485823770635949573062595389346459300846051819932034398738564643767756997103633306331219577792779448745044537754157487162901914165093559196216276361050609210064701689685412800872996658687831802663508903<249>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=798176870
Step 1 took 9393ms
Step 2 took 1224ms
********** Factor found in step 2: 1075053917431252518781122390755761
Found probable prime factor of 34 digits: 1075053917431252518781122390755761
Probable prime cofactor 102848618236... has 249 digits

33709352228303022078660609015958802534819820957024805159487134635467513789978858520081800617021084767261857129874446513850567232573254127357462192249196508706964460032778660107223161598713519679595375581437551469023504861757759547805693315924724699041<251>

2137018719396968893481352136022788759<37>

15774008866808260855968054999067776226850075438603526814975642704512153080387306393916361549151989191999714487515285719735005242978700603199290416911206671241034338554152463993963440088759883024635387450011073304199<215>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=717122035
Step 1 took 8421ms
Step 2 took 4736ms
********** Factor found in step 2: 2137018719396968893481352136022788759
Found probable prime factor of 37 digits: 2137018719396968893481352136022788759
Composite cofactor 157740088668... has 215 digits

63128303089704625518978868882998081840940551372597801008166732621062885077529995568967606470870106381188216337275068161993153446265866741502750854726846386790500443608210598931844376226703854801610630732624202425611144722233459723638000801514835263829287<254>

18869835689730905947665344823504956989<38>

3345461196785061631310373450194284278938716719893297233998537023983263092416560839042911229935956340789296252888794276530331721402887186240270112842128703423869976601183090218537355614915534470764166144737709392472883<217>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1026200987
Step 1 took 157873ms
Step 2 took 42855ms
********** Factor found in step 2: 18869835689730905947665344823504956989
Found probable prime factor of 38 digits: 18869835689730905947665344823504956989

390921978822114513493396433059332184065805927738637715963926612749528309303322507695525196370706784122420289290892916649682887368434317817165209417471944096414465417555252145913582547302373733702525423117941746778015076907948604450348621541683969575425762171079175455312897<273>

771462064382104513187395912295652592519<39>

506728712752998293107042839074825226494228826409240701729052730730361477669142990368741162065139182023367633898411029986483082722484033374938966596995276991836180775084347226820813767320164146250187399907551951153173847664764410551863<234>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=928264262
Step 1 took 661279ms
Step 2 took 144529ms
********** Factor found in step 2: 771462064382104513187395912295652592519
Found probable prime factor of 39 digits: 771462064382104513187395912295652592519