5085551673612286893061140397566575430582299329278867082208134412993291357799755097096979<88>

7316069631599272270574443232711161<34>
695120731443967897632130392944071929453215393687109739<54>

Fri Feb 11 00:21:25 2011  Msieve v. 1.47
Fri Feb 11 00:21:25 2011  random seeds: de5821b6 f4b9b05f
Fri Feb 11 00:21:25 2011  factoring 5085551673612286893061140397566575430582299329278867082208134412993291357799755097096979 (88 digits)
Fri Feb 11 00:21:26 2011  searching for 15-digit factors
Fri Feb 11 00:21:26 2011  commencing quadratic sieve (88-digit input)
Fri Feb 11 00:21:26 2011  using multiplier of 1
Fri Feb 11 00:21:26 2011  using 32kb Intel Core sieve core
Fri Feb 11 00:21:26 2011  sieve interval: 27 blocks of size 32768
Fri Feb 11 00:21:26 2011  processing polynomials in batches of 8
Fri Feb 11 00:21:26 2011  using a sieve bound of 1527523 (57868 primes)
Fri Feb 11 00:21:26 2011  using large prime bound of 122201840 (26 bits)
Fri Feb 11 00:21:26 2011  using double large prime bound of 360362716801760 (42-49 bits)
Fri Feb 11 00:21:26 2011  using trial factoring cutoff of 49 bits
Fri Feb 11 00:21:26 2011  polynomial 'A' values have 11 factors
Fri Feb 11 01:23:59 2011  58155 relations (15303 full + 42852 combined from 622135 partial), need 57964
Fri Feb 11 01:24:03 2011  begin with 637437 relations
Fri Feb 11 01:24:03 2011  reduce to 142882 relations in 9 passes
Fri Feb 11 01:24:03 2011  attempting to read 142882 relations
Fri Feb 11 01:24:08 2011  recovered 142882 relations
Fri Feb 11 01:24:08 2011  recovered 123653 polynomials
Fri Feb 11 01:24:08 2011  attempting to build 58155 cycles
Fri Feb 11 01:24:09 2011  found 58155 cycles in 5 passes
Fri Feb 11 01:24:09 2011  distribution of cycle lengths:
Fri Feb 11 01:24:09 2011     length 1 : 15303
Fri Feb 11 01:24:09 2011     length 2 : 10910
Fri Feb 11 01:24:09 2011     length 3 : 10124
Fri Feb 11 01:24:09 2011     length 4 : 7724
Fri Feb 11 01:24:09 2011     length 5 : 5651
Fri Feb 11 01:24:09 2011     length 6 : 3579
Fri Feb 11 01:24:09 2011     length 7 : 2190
Fri Feb 11 01:24:09 2011     length 9+: 2674
Fri Feb 11 01:24:09 2011  largest cycle: 19 relations
Fri Feb 11 01:24:09 2011  matrix is 57868 x 58155 (14.9 MB) with weight 3442825 (59.20/col)
Fri Feb 11 01:24:09 2011  sparse part has weight 3442825 (59.20/col)
Fri Feb 11 01:24:09 2011  filtering completed in 3 passes
Fri Feb 11 01:24:09 2011  matrix is 54005 x 54069 (13.9 MB) with weight 3222201 (59.59/col)
Fri Feb 11 01:24:09 2011  sparse part has weight 3222201 (59.59/col)
Fri Feb 11 01:24:09 2011  saving the first 48 matrix rows for later
Fri Feb 11 01:24:09 2011  matrix includes 64 packed rows
Fri Feb 11 01:24:09 2011  matrix is 53957 x 54069 (9.6 MB) with weight 2576831 (47.66/col)
Fri Feb 11 01:24:09 2011  sparse part has weight 1973444 (36.50/col)
Fri Feb 11 01:24:09 2011  using block size 10922 for processor cache size 256 kB
Fri Feb 11 01:24:10 2011  commencing Lanczos iteration
Fri Feb 11 01:24:10 2011  memory use: 5.9 MB
Fri Feb 11 01:24:21 2011  lanczos halted after 855 iterations (dim = 53953)
Fri Feb 11 01:24:21 2011  recovered 15 nontrivial dependencies
Fri Feb 11 01:24:23 2011  prp34 factor: 7316069631599272270574443232711161
Fri Feb 11 01:24:23 2011  prp54 factor: 695120731443967897632130392944071929453215393687109739
Fri Feb 11 01:24:23 2011  elapsed time 01:02:58

6294565376076230611885811650841033239400903521880598589506826782291262626911304282139<85>

295731208318007247380431339358049673<36>
21284751825406012857164652707348342097702519149443<50>

Thu Feb 10 23:44:20 2011  Msieve v. 1.47
Thu Feb 10 23:44:20 2011  random seeds: 6997db65 383dcced
Thu Feb 10 23:44:20 2011  factoring 6294565376076230611885811650841033239400903521880598589506826782291262626911304282139 (85 digits)
Thu Feb 10 23:44:21 2011  searching for 15-digit factors
Thu Feb 10 23:44:21 2011  commencing quadratic sieve (85-digit input)
Thu Feb 10 23:44:21 2011  using multiplier of 1
Thu Feb 10 23:44:21 2011  using 32kb Intel Core sieve core
Thu Feb 10 23:44:21 2011  sieve interval: 12 blocks of size 32768
Thu Feb 10 23:44:21 2011  processing polynomials in batches of 17
Thu Feb 10 23:44:21 2011  using a sieve bound of 1425497 (54706 primes)
Thu Feb 10 23:44:21 2011  using large prime bound of 115465257 (26 bits)
Thu Feb 10 23:44:21 2011  using double large prime bound of 325396104709410 (41-49 bits)
Thu Feb 10 23:44:21 2011  using trial factoring cutoff of 49 bits
Thu Feb 10 23:44:21 2011  polynomial 'A' values have 11 factors
Fri Feb 11 00:16:39 2011  54840 relations (16104 full + 38736 combined from 572257 partial), need 54802
Fri Feb 11 00:16:43 2011  begin with 588360 relations
Fri Feb 11 00:16:43 2011  reduce to 128803 relations in 11 passes
Fri Feb 11 00:16:43 2011  attempting to read 128803 relations
Fri Feb 11 00:16:48 2011  recovered 128803 relations
Fri Feb 11 00:16:48 2011  recovered 109413 polynomials
Fri Feb 11 00:16:48 2011  attempting to build 54840 cycles
Fri Feb 11 00:16:48 2011  found 54840 cycles in 5 passes
Fri Feb 11 00:16:48 2011  distribution of cycle lengths:
Fri Feb 11 00:16:48 2011     length 1 : 16104
Fri Feb 11 00:16:48 2011     length 2 : 11054
Fri Feb 11 00:16:48 2011     length 3 : 9752
Fri Feb 11 00:16:48 2011     length 4 : 6862
Fri Feb 11 00:16:48 2011     length 5 : 4665
Fri Feb 11 00:16:48 2011     length 6 : 2866
Fri Feb 11 00:16:48 2011     length 7 : 1658
Fri Feb 11 00:16:48 2011     length 9+: 1879
Fri Feb 11 00:16:48 2011  largest cycle: 17 relations
Fri Feb 11 00:16:48 2011  matrix is 54706 x 54840 (12.8 MB) with weight 2918917 (53.23/col)
Fri Feb 11 00:16:48 2011  sparse part has weight 2918917 (53.23/col)
Fri Feb 11 00:16:49 2011  filtering completed in 3 passes
Fri Feb 11 00:16:49 2011  matrix is 49663 x 49727 (11.7 MB) with weight 2679073 (53.88/col)
Fri Feb 11 00:16:49 2011  sparse part has weight 2679073 (53.88/col)
Fri Feb 11 00:16:49 2011  saving the first 48 matrix rows for later
Fri Feb 11 00:16:49 2011  matrix includes 64 packed rows
Fri Feb 11 00:16:49 2011  matrix is 49615 x 49727 (7.4 MB) with weight 2054145 (41.31/col)
Fri Feb 11 00:16:49 2011  sparse part has weight 1437443 (28.91/col)
Fri Feb 11 00:16:49 2011  using block size 10922 for processor cache size 256 kB
Fri Feb 11 00:16:49 2011  commencing Lanczos iteration
Fri Feb 11 00:16:49 2011  memory use: 4.5 MB
Fri Feb 11 00:16:57 2011  lanczos halted after 786 iterations (dim = 49610)
Fri Feb 11 00:16:57 2011  recovered 15 nontrivial dependencies
Fri Feb 11 00:16:57 2011  prp36 factor: 295731208318007247380431339358049673
Fri Feb 11 00:16:57 2011  prp50 factor: 21284751825406012857164652707348342097702519149443
Fri Feb 11 00:16:57 2011  elapsed time 00:32:37

103740128560865337822139936826278882378513608684160699387734789574133801914925085178855934972131659641398882062532070495286287456513<132>

4579268281101174214214746055882551<34>
9311539816088851117659758484942978057274133<43>
2432927623165918079284983553701405952179142821595968811<55>

Number: 77677_81
N=103740128560865337822139936826278882378513608684160699387734789574133801914925085178855934972131659641398882062532070495286287456513
  ( 132 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=4579268281101174214214746055882551 (pp34)
 r2=9311539816088851117659758484942978057274133 (pp43)
 r3=2432927623165918079284983553701405952179142821595968811 (pp55)
Version: Msieve-1.40
Total time: 50.14 hours.
Scaled time: 153.07 units (timescale=3.053).
Factorization parameters were as follows:
name: 77677_81
n: 103740128560865337822139936826278882378513608684160699387734789574133801914925085178855934972131659641398882062532070495286287456513
m: 1000000000000000000000000000
deg: 6
c6: 70
c3: -9
c0: -7
skew: 0.68
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 4600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 694029 x 694277
Total sieving time: 48.95 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.95 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,163.000,6,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 50.14 hours.
 --------- CPU info (if available) ----------

732364883056507367199822194846296330906411379007933180039733218942749309967450132909931028910900774974066493279227271515239841919940576390888571<144>

24288799987891482112245010259632392739<38>

30152369957412794299733258655548370419273438498566988473241479445773286290119090324851639234351082871033289<107>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3957272815
Step 1 took 9857ms
Step 2 took 8068ms
********** Factor found in step 2: 24288799987891482112245010259632392739
Found probable prime factor of 38 digits: 24288799987891482112245010259632392739
Composite cofactor 30152369957412794299733258655548370419273438498566988473241479445773286290119090324851639234351082871033289 has 107 digits

30152369957412794299733258655548370419273438498566988473241479445773286290119090324851639234351082871033289<107>

13925039542423920986250516920884921303<38>
2165334602142479396891227019534681481421598525200407416081157438490463<70>

Number: 77677_82
N = 30152369957412794299733258655548370419273438498566988473241479445773286290119090324851639234351082871033289 (107 digits)
Divisors found:
r1=13925039542423920986250516920884921303 (pp38)
r2=2165334602142479396891227019534681481421598525200407416081157438490463 (pp70)
Version: Msieve v. 1.48
Total time: 10.32 hours.
Factorization parameters were as follows:
n: 30152369957412794299733258655548370419273438498566988473241479445773286290119090324851639234351082871033289
Y0: -105869638241714457687401596
Y1: 137316099303989
c0: 6240762869280016058420360904785
c1: -407445423703228599847182
c2: -130547543782717705
c3: 10436958278
c4: 240
skew: 16914686.14
type: gnfs
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [1250000, 2600000)
Relations: 5599634
Relations in full relation-set: 556094 relations
Pruned matrix : 345470 x 345699
Polynomial selection time: 0.72 hours.
Total sieving time: 9.44 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: gnfs,106,4,59,2000,0.0006,0.25,200,15,15000,2000,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 10.32 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

671973841212436353704636969789257821587868537385708515215213904093930590729183066644279704168668448864723637127037607773388851066356935099920614708477059513<156>

204091591698942473665506497088321712201008975233<48>
3292511149619880547739260300930354649472773105740971194671598743188148356770795886085624472300682756090159161<109>

Number: 77677_83
N=671973841212436353704636969789257821587868537385708515215213904093930590729183066644279704168668448864723637127037607773388851066356935099920614708477059513
  ( 156 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=204091591698942473665506497088321712201008975233
 r2=3292511149619880547739260300930354649472773105740971194671598743188148356770795886085624472300682756090159161
Version: 
Total time: 44.62 hours.
Scaled time: 106.68 units (timescale=2.391).
Factorization parameters were as follows:
n: 671973841212436353704636969789257821587868537385708515215213904093930590729183066644279704168668448864723637127037607773388851066356935099920614708477059513
m: 10000000000000000000000000000
deg: 6
c6: 7
c3: -9
c0: -70
skew: 1.47
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2900000, 6500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9917354
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 899928 x 900176
Total sieving time: 41.03 hours.
Total relation processing time: 1.75 hours.
Matrix solve time: 1.64 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,168,6,0,0,0,0,0,0,0,0,5800000,5800000,27,27,51,51,2.4,2.4,100000
total time: 44.62 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046576k/8912896k available (2575k kernel code, 339584k reserved, 1304k data, 212k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.45 BogoMIPS (lpj=2672726)
Calibrating delay using timer specific routine.. 5345.46 BogoMIPS (lpj=2672732)
Calibrating delay using timer specific routine.. 5345.44 BogoMIPS (lpj=2672724)
Calibrating delay using timer specific routine.. 5345.45 BogoMIPS (lpj=2672727)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

3342591077092063453872521571176042516525033633543872496783826657066521352895278905466242211051471786636555178421033060991484445430605422865749<142>

64178677339941980007769863159598424617<38>
348784145578074583321219103498568514396987099141<48>
149326110009368039457451945825675533457369234216091317417<57>

Number: 77677_85
N=3342591077092063453872521571176042516525033633543872496783826657066521352895278905466242211051471786636555178421033060991484445430605422865749
  ( 142 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=64178677339941980007769863159598424617 (pp38)
 r2=348784145578074583321219103498568514396987099141 (pp48)
 r3=149326110009368039457451945825675533457369234216091317417 (pp57)
Version: Msieve-1.40
Total time: 160.41 hours.
Scaled time: 532.87 units (timescale=3.322).
Factorization parameters were as follows:
name: 77677_85
n: 3342591077092063453872521571176042516525033633543872496783826657066521352895278905466242211051471786636555178421033060991484445430605422865749
m: 10000000000000000000000000000
deg: 6
c6: 7000
c3: -90
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, 5050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 947598 x 947846
Total sieving time: 157.79 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.72 hours.
Time per square root: 0.78 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: 160.41 hours.
 --------- CPU info (if available) ----------

1436424060471405330446334754313166910706196822897983838862516506957881672397386835845763778273943802145172407066903770010940400519275025087354815848636649<154>

6527029816993420401169385502951807409<37>

220073157430905194765654121454753520594116098861972053045448909214596423127835517365235461331404932397752539959218361<117>

Input number is (10^173*7-9*10^86-7)/9/54146807978315737673 (154 digits)
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=4219302022
Step 1 took 6309ms
Step 2 took 3152ms
********** Factor found in step 2: 6527029816993420401169385502951807409
Found probable prime factor of 37 digits: 6527029816993420401169385502951807409
Composite cofactor ((10^173*7-9*10^86-7)/9/54146807978315737673)/6527029816993420401169385502951807409 has 117 digits

220073157430905194765654121454753520594116098861972053045448909214596423127835517365235461331404932397752539959218361<117>

227167278629962612412260564191456480333546976841<48>
968771377454350828618403078510606844315627240351712823158603589076721<69>

Sieving took ~ 4 CPU-days (chose wrong siever)

Msieve v. 1.49
Wed Feb 16 03:12:24 2011
random seeds: 56f2360b 11baa378
factoring 220073157430905194765654121454753520594116098861972053045448909214596423127835517365235461331404932397752539959218361 (117 digits)
searching for 15-digit factors
commencing number field sieve (117-digit input)
R0: -21656297743446189499561
R1:  3533718555359
A0:  10836729595738470676981543200
A1:  970422269957024634353958
A2: -2372227384273512101
A3: -787905494382560
A4:  2627573098
A5:  46200
skew 61188.27, size 4.070e-11, alpha -6.558, combined = 4.688e-10 rroots = 5

commencing relation filtering
estimated available RAM is 8000.1 MB
commencing duplicate removal, pass 1
found 1053850 hash collisions in 9759331 relations
added 333 free relations
commencing duplicate removal, pass 2
found 861433 duplicates and 8898231 unique relations
memory use: 49.3 MB
reading ideals above 100000
commencing singleton removal, initial pass
memory use: 188.2 MB
reading all ideals from disk
memory use: 310.2 MB
keeping 9830364 ideals with weight <= 200, target excess is 46861
commencing in-memory singleton removal
begin with 8898231 relations and 9830364 unique ideals
reduce to 3044832 relations and 2914397 ideals in 21 passes
max relations containing the same ideal: 100
removing 404101 relations and 366063 ideals in 38038 cliques
commencing in-memory singleton removal
begin with 2640731 relations and 2914397 unique ideals
reduce to 2600196 relations and 2507119 ideals in 11 passes
max relations containing the same ideal: 89
removing 296057 relations and 258019 ideals in 38038 cliques
commencing in-memory singleton removal
begin with 2304139 relations and 2507119 unique ideals
reduce to 2277862 relations and 2222403 ideals in 11 passes
max relations containing the same ideal: 79
relations with 0 large ideals: 144
relations with 1 large ideals: 449
relations with 2 large ideals: 6901
relations with 3 large ideals: 53362
relations with 4 large ideals: 221275
relations with 5 large ideals: 513259
relations with 6 large ideals: 683318
relations with 7+ large ideals: 799154
commencing 2-way merge
reduce to 1280069 relation sets and 1224610 unique ideals
commencing full merge
memory use: 136.4 MB
found 633528 cycles, need 626810
weight of 626810 cycles is about 43931233 (70.09/cycle)
distribution of cycle lengths:
1 relations: 76090
2 relations: 73286
3 relations: 72669
4 relations: 65000
5 relations: 57576
6 relations: 48507
7 relations: 42412
8 relations: 35837
9 relations: 30228
10+ relations: 125205
heaviest cycle: 23 relations
commencing cycle optimization
start with 3778406 relations
pruned 70282 relations
memory use: 129.6 MB
distribution of cycle lengths:
1 relations: 76090
2 relations: 74734
3 relations: 74850
4 relations: 65944
5 relations: 58456
6 relations: 48926
7 relations: 42483
8 relations: 35762
9 relations: 29972
10+ relations: 119593
heaviest cycle: 23 relations
RelProcTime: 352
elapsed time 00:05:53
-> Running matrix solving step ...
-> ./msieve -v -s ../../mnt/fas/sieve/y/y.dat -l ../../mnt/fas/sieve/y/y.log -i ../../mnt/fas/sieve/y/y.ini -nf ../../mnt/fas/sieve/y/y.fb -t 6 -nc2


Msieve v. 1.49
Wed Feb 16 03:18:17 2011
random seeds: ca59c82a bca754cf
factoring 220073157430905194765654121454753520594116098861972053045448909214596423127835517365235461331404932397752539959218361 (117 digits)
searching for 15-digit factors
commencing number field sieve (117-digit input)
R0: -21656297743446189499561
R1:  3533718555359
A0:  10836729595738470676981543200
A1:  970422269957024634353958
A2: -2372227384273512101
A3: -787905494382560
A4:  2627573098
A5:  46200
skew 61188.27, size 4.070e-11, alpha -6.558, combined = 4.688e-10 rroots = 5

commencing linear algebra
read 626810 cycles
cycles contain 2205446 unique relations
read 2205446 relations
using 20 quadratic characters above 134217614
building initial matrix
memory use: 272.9 MB
read 626810 cycles
matrix is 626629 x 626810 (188.1 MB) with weight 59394839 (94.76/col)
sparse part has weight 42403082 (67.65/col)
filtering completed in 2 passes
matrix is 625113 x 625294 (187.9 MB) with weight 59331175 (94.89/col)
sparse part has weight 42383550 (67.78/col)
matrix starts at (0, 0)
matrix is 625113 x 625294 (187.9 MB) with weight 59331175 (94.89/col)
sparse part has weight 42383550 (67.78/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 625065 x 625294 (180.9 MB) with weight 46900504 (75.01/col)
sparse part has weight 41162212 (65.83/col)
using block size 65536 for processor cache size 6144 kB
commencing Lanczos iteration (6 threads)
memory use: 163.3 MB
linear algebra at 0.5%, ETA 0h27m625294 dimensions (0.5%, ETA 0h27m)    
linear algebra completed 624653 of 625294 dimensions (99.9%, ETA 0h 0m)    
lanczos halted after 9885 iterations (dim = 625065)
recovered 29 nontrivial dependencies
BLanczosTime: 1661
elapsed time 00:27:42
-> Running square root step ...
-> ./msieve -v -s ../../mnt/fas/sieve/y/y.dat -l ../../mnt/fas/sieve/y/y.log -i ../../mnt/fas/sieve/y/y.ini -nf ../../mnt/fas/sieve/y/y.fb -t 6 -nc3


Msieve v. 1.49
Wed Feb 16 03:45:59 2011
random seeds: 0be0d7ef b60ba6fb
factoring 220073157430905194765654121454753520594116098861972053045448909214596423127835517365235461331404932397752539959218361 (117 digits)
searching for 15-digit factors
commencing number field sieve (117-digit input)
R0: -21656297743446189499561
R1:  3533718555359
A0:  10836729595738470676981543200
A1:  970422269957024634353958
A2: -2372227384273512101
A3: -787905494382560
A4:  2627573098
A5:  46200
skew 61188.27, size 4.070e-11, alpha -6.558, combined = 4.688e-10 rroots = 5

commencing square root phase
reading relations for dependency 1
read 311501 cycles
cycles contain 1098956 unique relations
read 1098956 relations
multiplying 1098956 relations
multiply complete, coefficients have about 49.80 million bits
initial square root is modulo 14124029
sqrtTime: 319
prp48 factor: 227167278629962612412260564191456480333546976841
prp69 factor: 968771377454350828618403078510606844315627240351712823158603589076721
elapsed time 00:05:21

3725186997704555853079720440738573287054654184483431549121468902283584210944973599883498687253871686684071119797637182172986509935459<133>

19577493811329177902829949666110295438489<41>
190279053774944911573984144493456542377268131543479123829276258256248552249340679879459600731<93>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=55821298
Step 1 took 46610ms
Step 2 took 19979ms
********** Factor found in step 2: 19577493811329177902829949666110295438489
Found probable prime factor of 41 digits: 19577493811329177902829949666110295438489
Probable prime cofactor 190279053774944911573984144493456542377268131543479123829276258256248552249340679879459600731 has 93 digits

GMP-ECM 6.3

4711915219252202050023914094495980302768720029199369040213436453176646043774013218417091988857935449807199790828035595282467798975719081122642186164736009<154>

813992688101212737504351897150911401564852985233066569696205501<63>
5788645632976886616784586565409431551436953614795685487908409033563134480422056262848136509<91>

N=4711915219252202050023914094495980302768720029199369040213436453176646043774013218417091988857935449807199790828035595282467798975719081122642186164736009
  ( 154 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=813992688101212737504351897150911401564852985233066569696205501 (pp63)
 r2=5788645632976886616784586565409431551436953614795685487908409033563134480422056262848136509 (pp91)
Version: Msieve-1.40
Total time: 326.86 hours.
Scaled time: 639.66 units (timescale=1.957).
Factorization parameters were as follows:
n: 4711915219252202050023914094495980302768720029199369040213436453176646043774013218417091988857935449807199790828035595282467798975719081122642186164736009
m: 1000000000000000000000000000000
deg: 6
c6: 7000
c3: -90
c0: -7
skew: 0.32
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 240000Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4050000, 9090001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1357346 x 1357571
Total sieving time: 324.01 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.15 hours.
Time per square root: 0.48 hours.
Prototype def-par.txt line would be:
snfs,183.000,6,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 326.86 hours.
 --------- CPU info (if available) ----------

9623420892561010636470290300910662307412136960630401628988649910300482064209164745208060537969458972132020824205950554640018666446786894787362713421579039499590393208113<169>

31227030931778546383579506568560485946626195650850409451319957448853518253<74>
308175981046203977352466716111885302780395960432994920181258454966532645355213368711826870041621<96>

Number: 77677_94
N=9623420892561010636470290300910662307412136960630401628988649910300482064209164745208060537969458972132020824205950554640018666446786894787362713421579039499590393208113
  ( 169 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=31227030931778546383579506568560485946626195650850409451319957448853518253
 r2=308175981046203977352466716111885302780395960432994920181258454966532645355213368711826870041621
Version: 
Total time: 197.34 hours.
Scaled time: 717.53 units (timescale=3.636).
Factorization parameters were as follows:
n: 9623420892561010636470290300910662307412136960630401628988649910300482064209164745208060537969458972132020824205950554640018666446786894787362713421579039499590393208113
m: 10000000000000000000000000000000
deg: 6
c6: 7000
c3: -90
c0: -7
skew: 0.32
# Murphy_E = 2.201e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [6000000, 12700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21663027
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2046135 x 2046383
Total sieving time: 184.28 hours.
Total relation processing time: 3.13 hours.
Matrix solve time: 9.10 hours.
Time per square root: 0.84 hours.
Prototype def-par.txt line would be:
snfs,189,6,0,0,0,0,0,0,0,0,12000000,12000000,28,28,54,54,2.5,2.5,100000
total time: 197.34 hours.
 --------- CPU info (if available) ----------

GGNFS / Msieve v1.39

Core i7 980

445607813488303693911506335977704693546343098302585624137625495703078595871971245603232341694524541205582484055619877364636163521702634574890809399491981662793<159>

677182401421485651641165844550351031<36>

658032182397121349160692591053840647841449668870809483861004080238385371326912979151184640426239282224376653585897833448703<123>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3057462160
Step 1 took 9441ms
Step 2 took 4024ms
********** Factor found in step 2: 677182401421485651641165844550351031
Found probable prime factor of 36 digits: 677182401421485651641165844550351031

658032182397121349160692591053840647841449668870809483861004080238385371326912979151184640426239282224376653585897833448703<123>

12978909569450839141337888703147505390849853147<47>
50700113046936335713741648409208398005420243346420782456498718276283036293549<77>

Divisors found:
 r1=12978909569450839141337888703147505390849853147 (pp47)
 r2=50700113046936335713741648409208398005420243346420782456498718276283036293549 (pp77)
Version: Msieve v. 1.49 SVN544 option -D density
Total time: 32.07 hours.
Scaled time: 76.96 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  658032182397121349160692591053840647841449668870809483861004080238385371326912979151184640426239282224376653585897833448703
skew:  1006712.62
Y0:  -1263935119513861123962374
Y1:   8828535155249
c0:  -23322200085748551468581138582325
c1:  -34640872410718404136549422
c2:   440501114604726478806
c3:  -1049051429417846
c4:  -466660745
c5:   204
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [3062500, 5762501)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 904823 x 905051
Total sieving time: 31.40 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
gnfs,122,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4900000,4900000,27,27,53,53,2.5,2.5,100000
total time: 32.07 hours.

38308617189844611756385642082760355609343970255267783525402731838579223629118203602507017767200213443157394616843187871272577012826279142296609491371<149>

1068729568016214728762512323024760156784025237504924457307<58>
35845005449744789615035011621775632340372842570807943286303697233670260307943846687753466353<92>

Number: 77677_96
N=38308617189844611756385642082760355609343970255267783525402731838579223629118203602507017767200213443157394616843187871272577012826279142296609491371
  ( 149 digits)
SNFS difficulty: 193 digits.
Divisors found:
 r1=1068729568016214728762512323024760156784025237504924457307
 r2=35845005449744789615035011621775632340372842570807943286303697233670260307943846687753466353
Version: 
Total time: 212.58 hours.
Scaled time: 781.43 units (timescale=3.676).
Factorization parameters were as follows:
n: 38308617189844611756385642082760355609343970255267783525402731838579223629118203602507017767200213443157394616843187871272577012826279142296609491371
m: 100000000000000000000000000000000
deg: 6
c6: 70
c3: -9
c0: -7
skew: 0.68
# Murphy_E = 2.113e-11
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6500000, 13400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 22979100
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2162011 x 2162259
Total sieving time: 196.78 hours.
Total relation processing time: 3.08 hours.
Matrix solve time: 10.62 hours.
Time per square root: 2.09 hours.
Prototype def-par.txt line would be:
snfs,193,6,0,0,0,0,0,0,0,0,13000000,13000000,28,28,55,55,2.5,2.5,100000
total time: 212.58 hours.
 --------- CPU info (if available) ----------

GGNFS / Msieve v1.39

Core i7 980

227688000676983796465735329629584912685229308651464140970659282634552004637276727510261404734151077605361803302161639554695974839075707441908146516533461617<156>

7944187441416357145910333440079025688450872409<46>
28660955240047766005742364523871297698235422407229645397171627065780223237800971491066733623220107791633226713<110>

Number: 77677_97
N=227688000676983796465735329629584912685229308651464140970659282634552004637276727510261404734151077605361803302161639554695974839075707441908146516533461617
  ( 156 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=7944187441416357145910333440079025688450872409
 r2=28660955240047766005742364523871297698235422407229645397171627065780223237800971491066733623220107791633226713
Version: 
Total time: 263.00 hours.
Scaled time: 938.66 units (timescale=3.569).
Factorization parameters were as follows:
n: 227688000676983796465735329629584912685229308651464140970659282634552004637276727510261404734151077605361803302161639554695974839075707441908146516533461617
m: 100000000000000000000000000000000
deg: 6
c6: 7000
c3: -90
c0: -7
skew: 0.32
# Murphy_E = 1.41e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5

Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [8000000, 16100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 34244598
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2734447 x 2734694
Total sieving time: 240.66 hours.
Total relation processing time: 5.58 hours.
Matrix solve time: 16.40 hours.
Time per square root: 0.36 hours.
Prototype def-par.txt line would be:
snfs,195,6,0,0,0,0,0,0,0,0,16000000,16000000,29,29,55,55,2.5,2.5,100000
total time: 263.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 36991648k/38797312k available (5152k kernel code, 1057684k absent, 747980k reserved, 7166k data, 1260k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6667.33 BogoMIPS (lpj=3333668)
Total of 12 processors activated (80008.03 BogoMIPS).

GGNFS / Msieve v1.39

Core i7 980

232465490329649315478504712214401320580630866909496472869227823147987485332216472812165695026908137146631740262870957534964108923635153763822249639432249251490309<162>

7136459227861459905431470808353514087259133702810041132845291859577891766021<76>
32574345751473011627135404176681137542650126590500183624367212854305483991174883241729<86>

Number: 77677_98
N=232465490329649315478504712214401320580630866909496472869227823147987485332216472812165695026908137146631740262870957534964108923635153763822249639432249251490309
  ( 162 digits)
SNFS difficulty: 198 digits.
Divisors found:
 r1=7136459227861459905431470808353514087259133702810041132845291859577891766021
 r2=32574345751473011627135404176681137542650126590500183624367212854305483991174883241729
Version: 
Total time: 269.24 hours.
Scaled time: 990.52 units (timescale=3.679).
Factorization parameters were as follows:
n: 232465490329649315478504712214401320580630866909496472869227823147987485332216472812165695026908137146631740262870957534964108923635153763822249639432249251490309
m: 1000000000000000000000000000000000
deg: 6
c6: 7
c3: -9
c0: -70
skew: 1.47
# Murphy_E = 1.453e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5

Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [8000000, 16400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 34311046
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2778868 x 2779116
Total sieving time: 245.28 hours.
Total relation processing time: 5.26 hours.
Matrix solve time: 18.40 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,198,6,0,0,0,0,0,0,0,0,16000000,16000000,29,29,55,55,2.5,2.5,100000
total time: 269.24 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

9857766511758907196169553584002253203774116321644838755104914800732291226587804534572595409097310236727221518096042810871708210111251936346993381213913533305168286156879312772848894521898324179693<196>

12430511881105587997748256919892607099983<41>
793029812934955575870631106494846966792153045276632800367294648679650726956467019649391236984265367367841613982133951664345380986740460238982884453947642371<156>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=362502810
Step 1 took 16125ms
Step 2 took 11113ms
********** Factor found in step 2: 12430511881105587997748256919892607099983
Found probable prime factor of 41 digits: 12430511881105587997748256919892607099983
Probable prime cofactor 793029812934955575870631106494846966792153045276632800367294648679650726956467019649391236984265367367841613982133951664345380986740460238982884453947642371 has 156 digits

1245705191975066478962164009010242528895563732511428892544981307717646051850723844445572281011154830133007046398811057849389345992570039324318818569502948826398983773450593612416945024550266364113<196>

3825664588076280379855745244371219<34>

325617984351697748842992503828028975858155526023274185299706439305401141057569114010923592633314189186442304660352633794592263749174397216851982849668625859714827<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2504862179
Step 1 took 27585ms
Step 2 took 9927ms
********** Factor found in step 2: 3825664588076280379855745244371219
Found probable prime factor of 34 digits: 3825664588076280379855745244371219

325617984351697748842992503828028975858155526023274185299706439305401141057569114010923592633314189186442304660352633794592263749174397216851982849668625859714827<162>

10079127189522284632662364191334848032985920616511304978621140916270617057266913<80>
32306168801024020229577573477949502753467626224892671468863338209422022649526639979<83>

Number: 77677_102
N = 325617984351697748842992503828028975858155526023274185299706439305401141057569114010923592633314189186442304660352633794592263749174397216851982849668625859714827 (162 digits)
SNFS difficulty: 206 digits.
Divisors found:
r1=10079127189522284632662364191334848032985920616511304978621140916270617057266913 (pp80)
r2=32306168801024020229577573477949502753467626224892671468863338209422022649526639979 (pp83)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 128.92 hours.
Factorization parameters were as follows:
n: 325617984351697748842992503828028975858155526023274185299706439305401141057569114010923592633314189186442304660352633794592263749174397216851982849668625859714827
m: 10000000000000000000000000000000000
deg: 6
c6: 70
c3: -9
c0: -7
skew: 0.68
# Murphy_E = 8.56e-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: 39064439
Relations: 6159372 relations
Pruned matrix : 3702232 x 3702456
Total sieving time: 119.71 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 8.61 hours.
time per square root: 0.24 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: 128.92 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
processors: 8, speed: 2.19GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

59630824205662608440467327462418411759548878534830435846695088247115787589066116143620862029284121959081341064115168615151216347821695095915290128373368373946703008909730050662381<179>

359863313065604012187463446933270068043666882164124863891913807680276869729<75>
165704093861859586245851363619642514076104579115120322366920992652615940498020146921305477262158910648589<105>

Number: n
N=59630824205662608440467327462418411759548878534830435846695088247115787589066116143620862029284121959081341064115168615151216347821695095915290128373368373946703008909730050662381  ( 179 digits)
SNFS difficulty: 207 digits.
Divisors found:

Mon Aug 12 03:23:11 2024  prp75 factor: 359863313065604012187463446933270068043666882164124863891913807680276869729
Mon Aug 12 03:23:11 2024  prp105 factor: 165704093861859586245851363619642514076104579115120322366920992652615940498020146921305477262158910648589
Mon Aug 12 03:23:11 2024  elapsed time 03:23:38 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.950).
Factorization parameters were as follows:
#
# N = 7x10^207-9x10^103-7 = 7(103)67(103)
#
n: 59630824205662608440467327462418411759548878534830435846695088247115787589066116143620862029284121959081341064115168615151216347821695095915290128373368373946703008909730050662381
m: 10000000000000000000000000000000000
deg: 6
c6: 7000
c3: -90
c0: -7
skew: 0.32
# Murphy_E = 5.705e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
q0: 50000
qintsize: 50000
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [50000, 59650000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 7929055 hash collisions in 25470098 relations (15827974 unique)
Msieve: matrix is 2501170 x 2501395 (703.7 MB)

Sieving start time: 2024/08/10 16:54:36
Sieving end time  : 2024/08/11 23:53:47

Total sieving time: 30hrs 59min 11secs.

Total relation processing time: 3hrs 12min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 54sec.

Prototype def-par.txt line would be:
snfs,207,6,0,0,0,0,0,0,0,0,20000000,20000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

85165482154907859903084353380653152265341934772971499098489616826770751613727848103485368420187277171036781692125772615089463487196229050922670605419767610355714248595784531<173>

124359554356410046446328815062648524213<39>

684832641895986746599088383963027445129497475833514973495496462252585352382069093253957785514674920295811726615718081096502549905306087<135>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2382005269
Step 1 took 75945ms
Step 2 took 27959ms
********** Factor found in step 2: 124359554356410046446328815062648524213
Found probable prime factor of 39 digits: 124359554356410046446328815062648524213

684832641895986746599088383963027445129497475833514973495496462252585352382069093253957785514674920295811726615718081096502549905306087<135>

18007566227919798476114364540456750983583214075998045125354227451<65>
38030272010561272631745482288032146192588056038403583024367579503410437<71>

N=684832641895986746599088383963027445129497475833514973495496462252585352382069093253957785514674920295811726615718081096502549905306087
  ( 135 digits)
Divisors found:
 r1=18007566227919798476114364540456750983583214075998045125354227451 (pp65)
 r2=38030272010561272631745482288032146192588056038403583024367579503410437 (pp71)
Version: Msieve-1.40
Total time: 279.24 hours.
Scaled time: 544.79 units (timescale=1.951).
Factorization parameters were as follows:
# Murphy_E = 4.086e-11, selected by Dmitry Domanov
n: 684832641895986746599088383963027445129497475833514973495496462252585352382069093253957785514674920295811726615718081096502549905306087
Y0: -151544929413034860866330002
Y1: 795574962774841
c0: -4531599908297590386938682026915037
c1: 76818178008683950056924309186
c2: 10942830217632444025222
c3: -248828348607527894
c4: -7718408205
c5: 8568
skew: 1525242.51
type: gnfs
# selected mechanically
rlim: 13200000
alim: 13200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
type: gnfs
qintsize: 400000
Factor base limits: 13200000/13200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [6600000, 10600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1448988 x 1449215
Total sieving time: 276.20 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.27 hours.
Time per square root: 0.55 hours.
Prototype def-par.txt line would be:
gnfs,134,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,13200000,13200000,28,28,54,54,2.6,2.6,100000
total time: 279.24 hours.
 --------- CPU info (if available) ----------

56746367327337684169304456469860415795050245301982565672655954128133157150415602838585668318983289414750211851033204674958871018152787196258595522125866192428236659417979978171839015232895696444593<197>

1863581168181904583768295007<28>
30450172118179860403308178870538054836845684063468563416552093464154293770284416191704887639705984536752316280215117273666405909085852739729040514064741262966063576962799<170>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=21121526
Step 1 took 27207ms
Step 2 took 9919ms
********** Factor found in step 2: 1863581168181904583768295007
Found probable prime factor of 28 digits: 1863581168181904583768295007

734669981287583977721569749712918624334866103463775468045269751568056528776927765127635091998172116266179059321299498717556760613663151556583108024396245477940801914115957<171>

1760986070861190022308064263247401714596459345267801<52>
417192386381740121991268453653275827377268374750777193223653282956060272293952085856038246266332546634109470663647711357<120>

Number: 77677_109
N = 734669981287583977721569749712918624334866103463775468045269751568056528776927765127635091998172116266179059321299498717556760613663151556583108024396245477940801914115957 (171 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=1760986070861190022308064263247401714596459345267801 (pp52)
r2=417192386381740121991268453653275827377268374750777193223653282956060272293952085856038246266332546634109470663647711357 (pp120)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 32.75 hours.
Factorization parameters were as follows:
n: 734669981287583977721569749712918624334866103463775468045269751568056528776927765127635091998172116266179059321299498717556760613663151556583108024396245477940801914115957
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 7
c2: -9
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: 31128096
Relations: 8300150 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 12.74 hours.
Total relation processing time: 0.24 hours.
Pruned matrix : 7074049 x 7074274
Matrix solve time: 19.64 hours.
time per square root: 0.12 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: 32.75 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.16299-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

937081659973226238286479250334672021419009370816599732262382864792503346720214190093708165997322623828647925032262382864792503346720214190093708165997322623828647925033467202141900937081659973226238286479250334672021419<219>

30934172880668102652731593973597838204643<41>
30292765983694455934462198251278417097572367203317042560087658164884307714518802226752579962744089536218221828368369982917431342350867454264095028292932589738743306142100553377433<179>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2033376631
Step 1 took 30887ms
********** Factor found in step 1: 30934172880668102652731593973597838204643
Found probable prime factor of 41 digits: 30934172880668102652731593973597838204643

81810149163409758228394848655453571226841785203722320420749137462970259265517419129608782119510569046118772622526715255825212235742760065085161102799285175216557681711020835876237147493743043869<194>

27679097136597507555597032588960588967138469628571385257727590648282795318956628945890136187832048298005231314752492372720947372242174160901498378052708448257762752503440826680046183518683346477025898850181868247<212>

23341006995932127991415154719418362475931165097876457720118300927359706883440701220459174358792148101474782337264747897847944714065085652968408470021915995164877290080411509115138686024946816120911843157605879258124681<218>

6029869808725637364866400447224644871684314402604328232239855443284417030709591057444178566195880512282249954447218695591488011465219394808182619711630955641665331361230318989649582896500140892587317008910165768029<214>

44166661036543655580358012625490786958586073060460756832803404085541074964022144972964469250846759017755887943702323126465175340922181089964435272109761585594301704721186317186195132563741354101787012501586740091263107<218>

30125829040214338235380675150762029118875538347077<50>

1466072883092661276871418930091422280088131625224716394551114030225815265532501079426442785560142615927395528869009912208555170996075928989899117439881698255215032228391<169>

GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/params.h
Running on sethtroisi-linux.sea.corp.google.com
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Fri Nov 24 02:53:40 2023
Input number is 44166661036543655580358012625490786958586073060460756832803404085541074964022144972964469250846759017755887943702323126465175340922181089964435272109761585594301704721186317186195132563741354101787012501586740091263107 (218 digits)
Using mpz_mod
Using lmax = 67108864 with NTT which takes about 20736MB of memory
Using B1=10000000000-10000000000, B2=13494038602573560, polynomial x^1
P = 198843645, l = 67108864, s_1 = 33177600, k = s_2 = 2, m_1 = 20
Probability of finding a factor of n digits (assuming one exists):
20   25      30      35      40      45      50      55      60      65
0.82    0.56    0.31    0.14    0.057   0.02    0.0066  0.002   0.00053 0.00014
Step 1 took 0ms
Computing F from factored S_1 took 198504ms
Computing h took 24410ms
Computing DCT-I of h took 60030ms
Multi-point evaluation 1 of 2:
Computing g_i took 80715ms
Computing g*h took 123499ms
Computing gcd of coefficients and N took 53469ms
Step 2 took 542940ms
********** Factor found in step 2: 30125829040214338235380675150762029118875538347077
Found prime factor of 50 digits: 30125829040214338235380675150762029118875538347077
Composite cofactor 1466072883092661276871418930091422280088131625224716394551114030225815265532501079426442785560142615927395528869009912208555170996075928989899117439881698255215032228391 has 169 digits
Peak memory usage: 21245MB

GMP-ECM 7.0.6, ecm-db 0.1

1080 Ti for PM1 stage1

1119842068834923169395578719994242867318104999720672211517315843798552157890885519040352995392480572368577575299077285802926341065241998976558239838467603592345664903903321354553523385661210579611346154633014410691<214>

862354197200607630706763709282295736502032092955221429647983302047273981347745897417092930783372064357325683561857503759574755740352915673929035782343690356148745588741759970377732711377206603443<195>

288065843621399176954732510288065843621399176954732510288065843621399176954732510288065843621399176954732510288065843621399139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251<246>

143375689313667266790020842502463715714897<42>

2009167976805251475710036781026230672721135274551319785757100898930004446159688122344377316781652127434477549414358783934917886781230776761199878483957067018074963726153860972979374947938547705543552474483<205>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=431286515
Step 1 took 538346ms
Step 2 took 127533ms
********** Factor found in step 2: 143375689313667266790020842502463715714897
Found probable prime factor of 42 digits: 143375689313667266790020842502463715714897

14354209372043156491792254992349296168547485223783084060009100366422044421910498528238692118428710537401660643627596073272606053954768260247415355756649324764627273043077265092277182640549537261166681522785609936553<215>

444131823693368908794671222750898357143941355345546640533326708090329177961345895389512692386296857390025811856107028084299620432907027810633097826924254887545347998432113896795226630322231841516434775932147385968329267136396765007144285093<240>

7593669335732675558627121772615726386240570706849<49>

58487116577945756441531335250433749876097505589209305066668200870128338380443043109378298064459160860061203715570186283990990326588000911122762979298611147400424341849041101765159308159060357<191>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3733260338
Step 1 took 34934ms
Step 2 took 12455ms
********** Factor found in step 2: 7593669335732675558627121772615726386240570706849
Found probable prime factor of 49 digits: 7593669335732675558627121772615726386240570706849

2307773546484337769573639815375413135969433548538264516527675933851624839104405939129536704470385135335938972510940870896617515225494154870165844726416150737341813744309934525727737929899935804359250978749793428513908299077<223>

4546895770419356596444931360156873770431761036955047093786547558003804233800740165149641356186422922620237949133221919335340556797108706806921008288594518488178720073366574114706175029697017858413114035701<205>

976061587479035687171153342111<30>
4658410728121207798513554040809203717867022899269735840335401046713283772142136572989707617409602062323454098688058448885688394729374959202560507149166041438855484544701267691<175>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3723032743
Step 1 took 5516ms
Step 2 took 4180ms
********** Factor found in step 2: 976061587479035687171153342111
Found probable prime factor of 30 digits: 976061587479035687171153342111
Probable prime cofactor 465841072812... has 175 digits

831103739480689552756779883360741297650142209520756113315794366116274594761787618269569666543175809617177208326498732392689609085209501791164985804178022410394271573926841780730260293028063634779666436552333993696105124147<222>

208204397864825981155095839560272985073<39>

3991768416055615366267022208238295593659317348161747417200048951455988134775655211807065496812356680937978244368051226130532180036013057313760070441167223277166083508065051352782263139<184>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3171972267
Step 1 took 460989ms
Step 2 took 114576ms
********** Factor found in step 2: 208204397864825981155095839560272985073
Found probable prime factor of 39 digits: 208204397864825981155095839560272985073

8902817089644181845395205897079577490545237140823360783654973417887152108563554247025625647990156584378766289113296851048862899617453050114719529149264228881953511245376624870006208857774192847331683478025151693929107254548972932151<232>

99858083643502186250416793930279312150846391257161<50>
89154695992641277317923987133393350440548989694801719898413669797463247973905762168531338267350154099290193825481706424836826944353288410182679244224602890541068710350268573717950591<182>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4074269785
Step 1 took 141231ms
Step 2 took 40448ms
********** Factor found in step 2: 99858083643502186250416793930279312150846391257161
Found probable prime factor of 50 digits: 99858083643502186250416793930279312150846391257161

84349878982385406864079165024908794983849745796147030012858209213673506832536807363763269977438601674339087024599847221178507877831719608456579270876896495194434411517356599320641021052711135006729896833801657506058612264649019465431214828894561<245>

4794353793104351956953117909759447957877625203812514173624347495504140669380899869893161553444369840169519439809974434690783288788333797036738832345026784927370768508402546359835545024200618780198574196211542820087888206846982175403936682795958257341451751<256>

196592083933660338120467010811687713432842666881116809787357334214059583785871501030847673103175891916067861086677237010040287892537991809281064936099800528013021501505151740981133255968546380325747525662229999545004063158371735674701509893421<243>

128338566227165781508138655144970128844569<42>

1531823906974949082411068977203465181232834636247361050025611738728968751505981575446479896908503110837970527299186652273377313362960455793555170761085492695625858105100036204002288900941521266058726709<202>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3440083678
Step 1 took 505809ms
Step 2 took 125963ms
********** Factor found in step 2: 128338566227165781508138655144970128844569
Found probable prime factor of 42 digits: 128338566227165781508138655144970128844569

132005010223043554640764418201910702138838870741037880931292526965705331527969256584543826729106193156403475068929269661680944602968587680622004809517238491897421343072458750721895213954103469818110294809081613454894074185910559959<231>

18467901814482108916186617208367753227831445748505957903369729986968143108770031820878489575520378009409161880704681832050080713516352161413981988559584293662669170314385949242080435229176613826576416647567832323577563013933594355410665862509<242>

7693372545911940980433275058867291332401<40>

2400494933044087911567693711842891852648525770143028855831306038394291796731794535844120507454142914336288228491941470604478508641349958488503466728897265221515601819588323298690436555989196980840710909<202>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2051310227
Step 1 took 139183ms
Step 2 took 41836ms
********** Factor found in step 2: 7693372545911940980433275058867291332401
Found probable prime factor of 40 digits: 7693372545911940980433275058867291332401

806875227863739542410778231863067622919014116726403265732672166199032028287773859878718321030349029896644896851799788412454235795423381985226807638734210179005424097274894708021030122741144323468161554642900584681597494906384878521226507528804427190076838807625015319<267>

547304136649932596839455217285357528960122151288867629553451059485544628004478312923681075135979899474170877673329832066815287528003700426096620713347577128528319284262644003427254881941372552972060117529<204>

17699666196039744598204084793868442399888686219744032451159880230668772009001208558002021038391083723213082374621856679403628368541282287637685160825896068539581270789153946198101884789125575248712196432115970813394019542279581342161703353508162357058007369949<260>

488915270880818576832408493461463<33>

36201909104112110350948628363373121593267944087806108654953046461360485659997557137853130092588810455838469128130083283798179365492904433167765686136114140658472503475549192457570061740961599611106646060002188400388577448470123<227>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3447372488
Step 1 took 9405ms
Step 2 took 5716ms
********** Factor found in step 2: 488915270880818576832408493461463
Found probable prime factor of 33 digits: 488915270880818576832408493461463
Composite cofactor 362019091041... has 227 digits

120786532188995818529846445166184035956953253353466763358706450759408851450078393253928927894124996010840256214658097657834485690771188109034960129910757013633835281300915214912406246296230160535726997832737090419534102586187473222694450721281119024358957298267761942701<270>

2592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259<289>

40188246481163288284201768987482207064983263099123425759905792932163964114475375200729303842628574115699310347387339079393864703603639136911694095356447165902072386930990052580724868924273985730367994021501458296766693521553040164259860881825777907894246611<257>

16836365958754115518625854850419<32>

2386990552451569707426808458810098503086811270977597287859346714092442057949161373049230408787587697637220017916077516984946835064187250051041040141629739801353588636661138237689772594913474197560145560142798656394148795118369<226>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2816677264
Step 1 took 39931ms
Step 2 took 13171ms
********** Factor found in step 2: 16836365958754115518625854850419
Found probable prime factor of 32 digits: 16836365958754115518625854850419

7896396080608739265153670461671072384179197660270773659497235446283658877450231422358012228238705368466603440393914220595416321873884476743489197722095016246206618663186902623483783663353729606460744675760102834530165770225714609092290482756913116580605096985367<262>

85646762681742221889918200621928492402568315753411<50>
92197251050237958581806633188166962573721444685020066851880593179523752454551670403022757022390762931155453086516600371620950766886423640070178682568355270257683113371199881686207485987361991547092859733246509597<212>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 7896396080608739265153670461671072384179197660270773659497235446283658877450231422358012228238705368466603440393914220595416321873884476743489197722095016246206618663186902623483783663353729606460744675760102834530165770225714609092290482756913116580605096985367 (262 digits)
[Sat Nov 10 09:26:46 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=3191932381
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 664533ms
Using 31 small primes for NTT
Estimated memory usage: 897M
Initializing tables of differences for F took 437ms
Computing roots of F took 19953ms
Building F from its roots took 14009ms
Computing 1/F took 6208ms
Initializing table of differences for G took 359ms
Computing roots of G took 16817ms
Building G from its roots took 13790ms
Computing roots of G took 16801ms
Building G from its roots took 14040ms
Computing G * H took 3479ms
Reducing  G * H mod F took 3322ms
Computing roots of G took 17254ms
Building G from its roots took 13978ms
Computing G * H took 3448ms
Reducing  G * H mod F took 3276ms
Computing roots of G took 16848ms
Building G from its roots took 13759ms
Computing G * H took 3416ms
Reducing  G * H mod F took 3323ms
Computing polyeval(F,G) took 27472ms
Computing product of all F(g_i) took 125ms
Step 2 took 212739ms
********** Factor found in step 2: 85646762681742221889918200621928492402568315753411
Found probable prime factor of 50 digits: 85646762681742221889918200621928492402568315753411
Probable prime cofactor 92197251050237958581806633188166962573721444685020066851880593179523752454551670403022757022390762931155453086516600371620950766886423640070178682568355270257683113371199881686207485987361991547092859733246509597 has 212 digits

GMP-ECM

976981023908103035371971423889129298715999744399364425089486117774386226018098647746115710804955506647269368674776743810218882731771204836446386476887341072760791751106711486923373561120881482600682715986063704319152651898423830182310490651996855385110873861032415081<267>

25575126238323837289277349337131846289472281489740146960197019312031503717665730784946367285980521451904359628393740412656357781803529428776610224754962265044594827366437693691154839715545562475291680515082793664891867157169931443769468531293<242>

77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777677777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<299>

270611674896302024287056979755672816209060202707918277445021448587754394507924232411720270662916078915045005488141935300782242729803064453233440946743803753390831182156782533523916470461<186>

10286600910786796093045215715177299170527183491952900489<56>
26307200720942873785589767231483706435682445737066795363539658353951420837220765958555295589872069587706649824777956857922207718549<131>

Using B1=700000000, B2=12714085484116, polynomial Dickson(30), sigma=4123933996
Step 1 took 3233865ms
Step 2 took 612541ms
********** Factor found in step 2: 10286600910786796093045215715177299170527183491952900489
Found probable prime factor of 56 digits: 10286600910786796093045215715177299170527183491952900489
Probable prime cofactor