6506690331499402329992940850992541726540926096014877872777489958397645358902836996284822154564842819<100>

3571013824957159595463095741<28>
1822084889737849498179943594910491438357264930935924835236634397925820159<73>

Factor found in step 2: 3571013824957159595463095741

GMP-ECM 6.2.1

1898160691553993157407449678245732393464881155578512112540299285983401084722145598193201<88>

487569966093755841400317894390408449<36>
3893104217967748849798424193291740807807864809580849<52>

Tue Nov 25 16:11:38 2008  Msieve v. 1.38
Tue Nov 25 16:11:38 2008  random seeds: 4901283c 27d5cc06
Tue Nov 25 16:11:38 2008  factoring 1898160691553993157407449678245732393464881155578512112540299285983401084722145598193201 (88 digits)
Tue Nov 25 16:11:39 2008  searching for 15-digit factors
Tue Nov 25 16:11:41 2008  commencing quadratic sieve (88-digit input)
Tue Nov 25 16:11:41 2008  using multiplier of 1
Tue Nov 25 16:11:41 2008  using 32kb Intel Core sieve core
Tue Nov 25 16:11:41 2008  sieve interval: 24 blocks of size 32768
Tue Nov 25 16:11:41 2008  processing polynomials in batches of 9
Tue Nov 25 16:11:41 2008  using a sieve bound of 1508383 (57034 primes)
Tue Nov 25 16:11:41 2008  using large prime bound of 120670640 (26 bits)
Tue Nov 25 16:11:41 2008  using double large prime bound of 352275850752880 (42-49 bits)
Tue Nov 25 16:11:41 2008  using trial factoring cutoff of 49 bits
Tue Nov 25 16:11:41 2008  polynomial 'A' values have 11 factors
Tue Nov 25 17:12:53 2008  57299 relations (14815 full + 42484 combined from 613221 partial), need 57130
Tue Nov 25 17:12:56 2008  begin with 628036 relations
Tue Nov 25 17:12:56 2008  reduce to 140932 relations in 10 passes
Tue Nov 25 17:12:56 2008  attempting to read 140932 relations
Tue Nov 25 17:12:59 2008  recovered 140932 relations
Tue Nov 25 17:12:59 2008  recovered 122059 polynomials
Tue Nov 25 17:12:59 2008  attempting to build 57299 cycles
Tue Nov 25 17:12:59 2008  found 57299 cycles in 5 passes
Tue Nov 25 17:12:59 2008  distribution of cycle lengths:
Tue Nov 25 17:12:59 2008     length 1 : 14815
Tue Nov 25 17:12:59 2008     length 2 : 11055
Tue Nov 25 17:12:59 2008     length 3 : 10130
Tue Nov 25 17:12:59 2008     length 4 : 7717
Tue Nov 25 17:12:59 2008     length 5 : 5412
Tue Nov 25 17:12:59 2008     length 6 : 3622
Tue Nov 25 17:12:59 2008     length 7 : 2122
Tue Nov 25 17:12:59 2008     length 9+: 2426
Tue Nov 25 17:12:59 2008  largest cycle: 20 relations
Tue Nov 25 17:12:59 2008  matrix is 57034 x 57299 (13.4 MB) with weight 3274244 (57.14/col)
Tue Nov 25 17:12:59 2008  sparse part has weight 3274244 (57.14/col)
Tue Nov 25 17:13:00 2008  filtering completed in 3 passes
Tue Nov 25 17:13:00 2008  matrix is 53372 x 53436 (12.5 MB) with weight 3072775 (57.50/col)
Tue Nov 25 17:13:00 2008  sparse part has weight 3072775 (57.50/col)
Tue Nov 25 17:13:00 2008  saving the first 48 matrix rows for later
Tue Nov 25 17:13:00 2008  matrix is 53324 x 53436 (8.0 MB) with weight 2417387 (45.24/col)
Tue Nov 25 17:13:00 2008  sparse part has weight 1766360 (33.06/col)
Tue Nov 25 17:13:00 2008  matrix includes 64 packed rows
Tue Nov 25 17:13:00 2008  using block size 21374 for processor cache size 2048 kB
Tue Nov 25 17:13:00 2008  commencing Lanczos iteration
Tue Nov 25 17:13:00 2008  memory use: 7.9 MB
Tue Nov 25 17:13:17 2008  lanczos halted after 845 iterations (dim = 53320)
Tue Nov 25 17:13:17 2008  recovered 14 nontrivial dependencies
Tue Nov 25 17:13:18 2008  prp36 factor: 487569966093755841400317894390408449
Tue Nov 25 17:13:18 2008  prp52 factor: 3893104217967748849798424193291740807807864809580849
Tue Nov 25 17:13:18 2008  elapsed time 01:01:40

1316872427983539094650205761316872427983539094650205761316872427983539094650205761316872427983539094650205761317<112>

779171800996810039027022481680618939<36>
1690092513998630224825837674006645536944911498054409463644922048126340665503<76>

SNFS difficulty: 113 digits.
Divisors found:
 r1=779171800996810039027022481680618939 (pp36)
 r2=1690092513998630224825837674006645536944911498054409463644922048126340665503 (pp76)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.530).
Factorization parameters were as follows:
n: 1316872427983539094650205761316872427983539094650205761316872427983539094650205761316872427983539094650205761317
m: 20000000000000000000000
deg: 5
c5: 100
c0: 31
skew: 0.79
type: snfs
lss: 1
rlim: 550000
alim: 550000
lpbr: 25
lpba: 25
mfbr: 47
mfba: 47
rlambda: 2.4
alambda: 2.4
Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 47/47
Sieved rational special-q in [275000, 375001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 70160 x 70392
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,113,5,0,0,0,0,0,0,0,0,550000,550000,25,25,47,47,2.4,2.4,50000
total time: 0.40 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

10142971320653820632723339542539382492089008306725584839857993969919889375979466051668360765372800808867<104>

2169685434607141957872712202903<31>
4674858004238930698030761281227982249602384821440497976576836629122533589<73>

Number: 35559_113
N=10142971320653820632723339542539382492089008306725584839857993969919889375979466051668360765372800808867
  ( 104 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=2169685434607141957872712202903 (pp31)
 r2=4674858004238930698030761281227982249602384821440497976576836629122533589 (pp73)
Version: GGNFS-0.77.1-20060513-k8
Total time: 1.57 hours.
Scaled time: 3.08 units (timescale=1.967).
Factorization parameters were as follows:
name: 35559_113
n: 10142971320653820632723339542539382492089008306725584839857993969919889375979466051668360765372800808867
m: 40000000000000000000000
deg: 5
c5: 125
c0: 124
skew: 1.00
type: snfs
lss: 1
rlim: 580000
alim: 580000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 580000/580000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [290000, 440001)
Primes: RFBsize:47588, AFBsize:47780, largePrimes:1340429 encountered
Relations: rels:1372204, finalFF:195899
Max relations in full relation-set: 28
Initial matrix: 95434 x 195899 with sparse part having weight 9478162.
Pruned matrix : 67455 x 67996 with weight 2513133.
Total sieving time: 1.49 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,115,5,0,0,0,0,0,0,0,0,580000,580000,25,25,45,45,2.2,2.2,50000
total time: 1.57 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

4122404505025210243743561171449975711519261604442284788428272074821127296959687698385785994024343813<100>

1726129193205343241018771466495207041016209<43>
2388236362175239596226223470142158679479256151585078511157<58>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2138698920
Step 1 took 11101ms
Step 2 took 8108ms
********** Factor found in step 2: 1726129193205343241018771466495207041016209
Found probable prime factor of 43 digits: 1726129193205343241018771466495207041016209
Probable prime cofactor 2388236362175239596226223470142158679479256151585078511157 has 58 digits

GMP-ECM 6.2.1

87469693118048551146536336823920774325458327524799024712921733758654716119844413283366271139648098490874450922668591<116>

3113032816097266174778764676807<31>
28097902683758787473437650239350518110448549347179343214543208493496692074850718804313<86>

Number: 35559_120
N=87469693118048551146536336823920774325458327524799024712921733758654716119844413283366271139648098490874450922668591
  ( 116 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=3113032816097266174778764676807 (pp31)
 r2=28097902683758787473437650239350518110448549347179343214543208493496692074850718804313 (pp86)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2.50 hours.
Scaled time: 5.00 units (timescale=2.003).
Factorization parameters were as follows:
name: 35559_120
n: 87469693118048551146536336823920774325458327524799024712921733758654716119844413283366271139648098490874450922668591
m: 2000000000000000000000000
deg: 5
c5: 1
c0: 31
skew: 1.99
type: snfs
lss: 1
rlim: 740000
alim: 740000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 740000/740000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [370000, 620001)
Primes: RFBsize:59531, AFBsize:59539, largePrimes:1702979 encountered
Relations: rels:1960859, finalFF:410760
Max relations in full relation-set: 28
Initial matrix: 119134 x 410760 with sparse part having weight 19379073.
Pruned matrix : 67073 x 67732 with weight 3827093.
Total sieving time: 2.41 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,740000,740000,25,25,46,46,2.2,2.2,50000
total time: 2.50 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

431881922608567386526197281175982703937335426667558565328396228433888608545324127306075503<90>

42723292270746693182558544322045801<35>
10108816517969606422105778729319311803504197245858958103<56>

Tue Nov 25 18:15:00 2008  Msieve v. 1.38
Tue Nov 25 18:15:00 2008  random seeds: d1551f0c 1ce83f3a
Tue Nov 25 18:15:00 2008  factoring 431881922608567386526197281175982703937335426667558565328396228433888608545324127306075503 (90 digits)
Tue Nov 25 18:15:01 2008  searching for 15-digit factors
Tue Nov 25 18:15:03 2008  commencing quadratic sieve (90-digit input)
Tue Nov 25 18:15:03 2008  using multiplier of 7
Tue Nov 25 18:15:03 2008  using 32kb Intel Core sieve core
Tue Nov 25 18:15:03 2008  sieve interval: 36 blocks of size 32768
Tue Nov 25 18:15:03 2008  processing polynomials in batches of 6
Tue Nov 25 18:15:03 2008  using a sieve bound of 1584929 (59679 primes)
Tue Nov 25 18:15:03 2008  using large prime bound of 126794320 (26 bits)
Tue Nov 25 18:15:03 2008  using double large prime bound of 385105414448400 (42-49 bits)
Tue Nov 25 18:15:03 2008  using trial factoring cutoff of 49 bits
Tue Nov 25 18:15:03 2008  polynomial 'A' values have 12 factors
Tue Nov 25 19:31:03 2008  60194 relations (15958 full + 44236 combined from 638107 partial), need 59775
Tue Nov 25 19:31:05 2008  begin with 654065 relations
Tue Nov 25 19:31:05 2008  reduce to 146856 relations in 10 passes
Tue Nov 25 19:31:05 2008  attempting to read 146856 relations
Tue Nov 25 19:31:08 2008  recovered 146856 relations
Tue Nov 25 19:31:08 2008  recovered 125328 polynomials
Tue Nov 25 19:31:08 2008  attempting to build 60194 cycles
Tue Nov 25 19:31:08 2008  found 60194 cycles in 5 passes
Tue Nov 25 19:31:08 2008  distribution of cycle lengths:
Tue Nov 25 19:31:08 2008     length 1 : 15958
Tue Nov 25 19:31:08 2008     length 2 : 11650
Tue Nov 25 19:31:08 2008     length 3 : 10547
Tue Nov 25 19:31:08 2008     length 4 : 8074
Tue Nov 25 19:31:08 2008     length 5 : 5654
Tue Nov 25 19:31:08 2008     length 6 : 3590
Tue Nov 25 19:31:08 2008     length 7 : 2148
Tue Nov 25 19:31:08 2008     length 9+: 2573
Tue Nov 25 19:31:08 2008  largest cycle: 20 relations
Tue Nov 25 19:31:09 2008  matrix is 59679 x 60194 (14.7 MB) with weight 3625687 (60.23/col)
Tue Nov 25 19:31:09 2008  sparse part has weight 3625687 (60.23/col)
Tue Nov 25 19:31:09 2008  filtering completed in 3 passes
Tue Nov 25 19:31:09 2008  matrix is 55677 x 55741 (13.7 MB) with weight 3363925 (60.35/col)
Tue Nov 25 19:31:09 2008  sparse part has weight 3363925 (60.35/col)
Tue Nov 25 19:31:09 2008  saving the first 48 matrix rows for later
Tue Nov 25 19:31:09 2008  matrix is 55629 x 55741 (8.7 MB) with weight 2647142 (47.49/col)
Tue Nov 25 19:31:09 2008  sparse part has weight 1945354 (34.90/col)
Tue Nov 25 19:31:09 2008  matrix includes 64 packed rows
Tue Nov 25 19:31:09 2008  using block size 22296 for processor cache size 2048 kB
Tue Nov 25 19:31:10 2008  commencing Lanczos iteration
Tue Nov 25 19:31:10 2008  memory use: 8.4 MB
Tue Nov 25 19:31:28 2008  lanczos halted after 881 iterations (dim = 55626)
Tue Nov 25 19:31:29 2008  recovered 16 nontrivial dependencies
Tue Nov 25 19:31:29 2008  prp35 factor: 42723292270746693182558544322045801
Tue Nov 25 19:31:29 2008  prp56 factor: 10108816517969606422105778729319311803504197245858958103
Tue Nov 25 19:31:29 2008  elapsed time 01:16:29

45261293527849611944009007470516564747912317071464403030095643688236704332954890087226456720792950338179247<107>

855863039493258726374436148063275096378011<42>
52883804346368337523551464619943154719770857071655107899081988477<65>

Number: 35559_125
N=45261293527849611944009007470516564747912317071464403030095643688236704332954890087226456720792950338179247
  ( 107 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=855863039493258726374436148063275096378011 (pp42)
 r2=52883804346368337523551464619943154719770857071655107899081988477 (pp65)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2.93 hours.
Scaled time: 5.68 units (timescale=1.937).
Factorization parameters were as follows:
name: 35559_125
n: 45261293527849611944009007470516564747912317071464403030095643688236704332954890087226456720792950338179247
m: 20000000000000000000000000
deg: 5
c5: 1
c0: 31
skew: 1.99
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 700001)
Primes: RFBsize:71274, AFBsize:71376, largePrimes:2868761 encountered
Relations: rels:3072916, finalFF:475953
Max relations in full relation-set: 28
Initial matrix: 142714 x 475953 with sparse part having weight 34254737.
Pruned matrix : 85856 x 86633 with weight 6376451.
Total sieving time: 2.80 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,50000
total time: 2.93 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

30827033561696818920547317912296682985467455294243365821760968493838218835810931402703270162258254920607002902651323239<119>

680997224473041479842187137587524564706549553049407<51>
45267487816196178055544763426310297914032845214592067327606904162777<68>

Number: 35559_126
N=30827033561696818920547317912296682985467455294243365821760968493838218835810931402703270162258254920607002902651323239
  ( 119 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=680997224473041479842187137587524564706549553049407 (pp51)
 r2=45267487816196178055544763426310297914032845214592067327606904162777 (pp68)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 3.64 hours.
Scaled time: 1.72 units (timescale=0.472).
Factorization parameters were as follows:
name: 35559_126
n: 30827033561696818920547317912296682985467455294243365821760968493838218835810931402703270162258254920607002902651323239
m: 20000000000000000000000000
deg: 5
c5: 10
c0: 31
skew: 1.25
type: snfs
lss: 1
rlim: 930000
alim: 930000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 930000/930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [465000, 765001)
Primes: RFBsize:73474, AFBsize:73628, largePrimes:2612797 encountered
Relations: rels:2582628, finalFF:264069
Max relations in full relation-set: 28
Initial matrix: 147168 x 264069 with sparse part having weight 19890177.
Pruned matrix : 113591 x 114390 with weight 6088730.
Total sieving time: 3.36 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,127,5,0,0,0,0,0,0,0,0,930000,930000,26,26,46,46,2.3,2.3,50000
total time: 3.64 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

503176204472369347528704149914346319811344140205384244788935122030122608807740644710994427251286623921948287<108>

93598957773679097998335210590339756869624650269513<50>
5375874010147014698096140847150062199888070164109434270599<58>

Number: 35559_127
N=503176204472369347528704149914346319811344140205384244788935122030122608807740644710994427251286623921948287
  ( 108 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=93598957773679097998335210590339756869624650269513 (pp50)
 r2=5375874010147014698096140847150062199888070164109434270599 (pp58)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2.91 hours.
Scaled time: 5.49 units (timescale=1.885).
Factorization parameters were as follows:
name: 35559_127
n: 503176204472369347528704149914346319811344140205384244788935122030122608807740644710994427251286623921948287
m: 20000000000000000000000000
deg: 5
c5: 100
c0: 31
skew: 0.79
type: snfs
lss: 1
rlim: 970000
alim: 970000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 970000/970000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [485000, 735001)
Primes: RFBsize:76350, AFBsize:76308, largePrimes:2524019 encountered
Relations: rels:2393135, finalFF:184054
Max relations in full relation-set: 28
Initial matrix: 152722 x 184054 with sparse part having weight 12789703.
Pruned matrix : 140139 x 140966 with weight 7598605.
Total sieving time: 2.69 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,970000,970000,26,26,47,47,2.3,2.3,50000
total time: 2.91 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

1036992028443535661266653954091510658049072752976818609735661966213284022836424574186379455819<94>

8411554247231991338364718226661881690595399127<46>
123281857069967884883915224017233748896454151597<48>

Wed Nov 26 00:36:44 2008  Msieve v. 1.38
Wed Nov 26 00:36:44 2008  random seeds: 7e6bef0c f76e70b4
Wed Nov 26 00:36:44 2008  factoring 1036992028443535661266653954091510658049072752976818609735661966213284022836424574186379455819 (94 digits)
Wed Nov 26 00:36:45 2008  searching for 15-digit factors
Wed Nov 26 00:36:46 2008  commencing quadratic sieve (94-digit input)
Wed Nov 26 00:36:47 2008  using multiplier of 3
Wed Nov 26 00:36:47 2008  using 32kb Intel Core sieve core
Wed Nov 26 00:36:47 2008  sieve interval: 36 blocks of size 32768
Wed Nov 26 00:36:47 2008  processing polynomials in batches of 6
Wed Nov 26 00:36:47 2008  using a sieve bound of 1956287 (72941 primes)
Wed Nov 26 00:36:47 2008  using large prime bound of 244535875 (27 bits)
Wed Nov 26 00:36:47 2008  using double large prime bound of 1256078084807500 (42-51 bits)
Wed Nov 26 00:36:47 2008  using trial factoring cutoff of 51 bits
Wed Nov 26 00:36:47 2008  polynomial 'A' values have 12 factors
Wed Nov 26 00:36:47 2008  restarting with 10856 full and 592550 partial relations
Wed Nov 26 01:45:42 2008  73117 relations (18244 full + 54873 combined from 1001025 partial), need 73037
Wed Nov 26 01:45:44 2008  begin with 1019269 relations
Wed Nov 26 01:45:45 2008  reduce to 187744 relations in 12 passes
Wed Nov 26 01:45:45 2008  attempting to read 187744 relations
Wed Nov 26 01:45:47 2008  recovered 187744 relations
Wed Nov 26 01:45:47 2008  recovered 170550 polynomials
Wed Nov 26 01:45:48 2008  attempting to build 73117 cycles
Wed Nov 26 01:45:48 2008  found 73117 cycles in 5 passes
Wed Nov 26 01:45:48 2008  distribution of cycle lengths:
Wed Nov 26 01:45:48 2008     length 1 : 18244
Wed Nov 26 01:45:48 2008     length 2 : 13033
Wed Nov 26 01:45:48 2008     length 3 : 12520
Wed Nov 26 01:45:48 2008     length 4 : 10040
Wed Nov 26 01:45:48 2008     length 5 : 7217
Wed Nov 26 01:45:48 2008     length 6 : 4975
Wed Nov 26 01:45:48 2008     length 7 : 3133
Wed Nov 26 01:45:48 2008     length 9+: 3955
Wed Nov 26 01:45:48 2008  largest cycle: 18 relations
Wed Nov 26 01:45:48 2008  matrix is 72941 x 73117 (18.6 MB) with weight 4579830 (62.64/col)
Wed Nov 26 01:45:48 2008  sparse part has weight 4579830 (62.64/col)
Wed Nov 26 01:45:49 2008  filtering completed in 3 passes
Wed Nov 26 01:45:49 2008  matrix is 69223 x 69287 (17.7 MB) with weight 4366954 (63.03/col)
Wed Nov 26 01:45:49 2008  sparse part has weight 4366954 (63.03/col)
Wed Nov 26 01:45:49 2008  saving the first 48 matrix rows for later
Wed Nov 26 01:45:49 2008  matrix is 69175 x 69287 (10.6 MB) with weight 3397331 (49.03/col)
Wed Nov 26 01:45:49 2008  sparse part has weight 2369792 (34.20/col)
Wed Nov 26 01:45:49 2008  matrix includes 64 packed rows
Wed Nov 26 01:45:49 2008  using block size 27714 for processor cache size 1024 kB
Wed Nov 26 01:45:50 2008  commencing Lanczos iteration
Wed Nov 26 01:45:50 2008  memory use: 10.6 MB
Wed Nov 26 01:46:21 2008  lanczos halted after 1096 iterations (dim = 69175)
Wed Nov 26 01:46:21 2008  recovered 18 nontrivial dependencies
Wed Nov 26 01:46:22 2008  prp46 factor: 8411554247231991338364718226661881690595399127
Wed Nov 26 01:46:22 2008  prp48 factor: 123281857069967884883915224017233748896454151597
Wed Nov 26 01:46:22 2008  elapsed time 01:09:38

1336340884707403852333814649696063832094289430719468240561408485925328779819885140490430012885296587458038921257099<115>

844138519262383556289425467818988709704541<42>
1583082461247132173875334710522972730177912267910497115891734314149580039<73>

Number: 35559_131
N=1336340884707403852333814649696063832094289430719468240561408485925328779819885140490430012885296587458038921257099
  ( 115 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=844138519262383556289425467818988709704541 (pp42)
 r2=1583082461247132173875334710522972730177912267910497115891734314149580039 (pp73)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 5.16 hours.
Scaled time: 2.43 units (timescale=0.471).
Factorization parameters were as follows:
name: 35559_131
n: 1336340884707403852333814649696063832094289430719468240561408485925328779819885140490430012885296587458038921257099
m: 200000000000000000000000000
deg: 5
c5: 10
c0: 31
skew: 1.25
type: snfs
lss: 1
rlim: 1130000
alim: 1130000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1130000/1130000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [565000, 965001)
Primes: RFBsize:87884, AFBsize:88119, largePrimes:2834235 encountered
Relations: rels:2738680, finalFF:224186
Max relations in full relation-set: 28
Initial matrix: 176069 x 224186 with sparse part having weight 17121575.
Pruned matrix : 157598 x 158542 with weight 9354096.
Total sieving time: 4.65 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.36 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,1130000,1130000,26,26,47,47,2.3,2.3,50000
total time: 5.16 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

21247667663166489931350123717390267203298756541150801986024337783808450946985034404344937511454879527166808520365870780470373<125>

4761415135792806704700849085613258322433<40>

4462469046952490638354343160769488971248707524461871437573226959519017881746418670181<85>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1947702416
Step 1 took 15638ms
Step 2 took 12168ms
********** Factor found in step 2: 4761415135792806704700849085613258322433
Found probable prime factor of 40 digits: 4761415135792806704700849085613258322433
Composite cofactor 4462469046952490638354343160769488971248707524461871437573226959519017881746418670181 has 85 digits

GMP-ECM 6.2.1

4462469046952490638354343160769488971248707524461871437573226959519017881746418670181<85>

92123373788344372285635615769596739<35>
48440139168210650866664274877353596332333457620279<50>

Tue Nov 25 20:57:27 2008  Msieve v. 1.38
Tue Nov 25 20:57:27 2008  random seeds: cf745a60 a52fd4cc
Tue Nov 25 20:57:27 2008  factoring 4462469046952490638354343160769488971248707524461871437573226959519017881746418670181 (85 digits)
Tue Nov 25 20:57:28 2008  searching for 15-digit factors
Tue Nov 25 20:57:30 2008  commencing quadratic sieve (85-digit input)
Tue Nov 25 20:57:30 2008  using multiplier of 1
Tue Nov 25 20:57:30 2008  using 64kb Pentium 4 sieve core
Tue Nov 25 20:57:30 2008  sieve interval: 6 blocks of size 65536
Tue Nov 25 20:57:30 2008  processing polynomials in batches of 17
Tue Nov 25 20:57:30 2008  using a sieve bound of 1434241 (54676 primes)
Tue Nov 25 20:57:30 2008  using large prime bound of 116173521 (26 bits)
Tue Nov 25 20:57:30 2008  using double large prime bound of 328997602795950 (41-49 bits)
Tue Nov 25 20:57:30 2008  using trial factoring cutoff of 49 bits
Tue Nov 25 20:57:30 2008  polynomial 'A' values have 11 factors
Tue Nov 25 21:50:59 2008  54899 relations (15846 full + 39053 combined from 576302 partial), need 54772
Tue Nov 25 21:51:02 2008  begin with 592148 relations
Tue Nov 25 21:51:02 2008  reduce to 130381 relations in 10 passes
Tue Nov 25 21:51:02 2008  attempting to read 130381 relations
Tue Nov 25 21:51:06 2008  recovered 130381 relations
Tue Nov 25 21:51:06 2008  recovered 111038 polynomials
Tue Nov 25 21:51:07 2008  attempting to build 54899 cycles
Tue Nov 25 21:51:07 2008  found 54899 cycles in 5 passes
Tue Nov 25 21:51:07 2008  distribution of cycle lengths:
Tue Nov 25 21:51:07 2008     length 1 : 15846
Tue Nov 25 21:51:07 2008     length 2 : 10901
Tue Nov 25 21:51:07 2008     length 3 : 9452
Tue Nov 25 21:51:07 2008     length 4 : 7155
Tue Nov 25 21:51:07 2008     length 5 : 4909
Tue Nov 25 21:51:07 2008     length 6 : 2926
Tue Nov 25 21:51:07 2008     length 7 : 1730
Tue Nov 25 21:51:07 2008     length 9+: 1980
Tue Nov 25 21:51:07 2008  largest cycle: 16 relations
Tue Nov 25 21:51:07 2008  matrix is 54676 x 54899 (11.8 MB) with weight 2881914 (52.49/col)
Tue Nov 25 21:51:07 2008  sparse part has weight 2881914 (52.49/col)
Tue Nov 25 21:51:08 2008  filtering completed in 3 passes
Tue Nov 25 21:51:08 2008  matrix is 49850 x 49914 (10.9 MB) with weight 2649803 (53.09/col)
Tue Nov 25 21:51:08 2008  sparse part has weight 2649803 (53.09/col)
Tue Nov 25 21:51:08 2008  saving the first 48 matrix rows for later
Tue Nov 25 21:51:08 2008  matrix is 49802 x 49914 (6.4 MB) with weight 2011559 (40.30/col)
Tue Nov 25 21:51:08 2008  sparse part has weight 1389929 (27.85/col)
Tue Nov 25 21:51:08 2008  matrix includes 64 packed rows
Tue Nov 25 21:51:08 2008  using block size 19965 for processor cache size 512 kB
Tue Nov 25 21:51:09 2008  commencing Lanczos iteration
Tue Nov 25 21:51:09 2008  memory use: 6.8 MB
Tue Nov 25 21:51:32 2008  lanczos halted after 790 iterations (dim = 49799)
Tue Nov 25 21:51:32 2008  recovered 15 nontrivial dependencies
Tue Nov 25 21:51:34 2008  prp35 factor: 92123373788344372285635615769596739
Tue Nov 25 21:51:34 2008  prp50 factor: 48440139168210650866664274877353596332333457620279
Tue Nov 25 21:51:34 2008  elapsed time 00:54:07

Msieve

19875310337413053710637590695530793527882282744921895395807157800777667144452785946358436075296632143126961352653038140244691511<128>

13381285655013871857765308443020945443852381<44>
1485306483235108080529520897277681421570533714769036651190820055852516640157660621731<85>

Number: 35559_137
N=19875310337413053710637590695530793527882282744921895395807157800777667144452785946358436075296632143126961352653038140244691511
  ( 128 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=13381285655013871857765308443020945443852381 (pp44)
 r2=1485306483235108080529520897277681421570533714769036651190820055852516640157660621731 (pp85)
Version: GGNFS-0.77.1-20060513-k8
Total time: 7.53 hours.
Scaled time: 14.94 units (timescale=1.985).
Factorization parameters were as follows:
name: 35559_137
n: 19875310337413053710637590695530793527882282744921895395807157800777667144452785946358436075296632143126961352653038140244691511
m: 2000000000000000000000000000
deg: 5
c5: 100
c0: 31
skew: 0.79
type: snfs
lss: 1
rlim: 1420000
alim: 1420000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1420000/1420000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [710000, 1385001)
Primes: RFBsize:108487, AFBsize:108634, largePrimes:3522102 encountered
Relations: rels:3644702, finalFF:410418
Max relations in full relation-set: 28
Initial matrix: 217185 x 410418 with sparse part having weight 36113840.
Pruned matrix : 168501 x 169650 with weight 12265564.
Total sieving time: 7.10 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1420000,1420000,26,26,48,48,2.3,2.3,75000
total time: 7.53 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

294566174451038706731848985886598176837475871293277600309052426727878023820362277991757368632959221<99>

12106920853579459070424999289438561<35>
24330395648365789996989790128333355913417874067772163713318487061<65>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1141709438
Step 1 took 10100ms
Step 2 took 8013ms
********** Factor found in step 2: 12106920853579459070424999289438561
Found probable prime factor of 35 digits: 12106920853579459070424999289438561
Probable prime cofactor 24330395648365789996989790128333355913417874067772163713318487061 has 65 digits

GMP-ECM 6.2.1

15499352782151133565494217737037514442597852371987465422649070844371174174412631450510870910264417901<101>

3688852328182643226043829314643<31>
17459840163246399172064730922660979<35>
240647874318475240136761574757014533<36>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1536110132
Step 1 took 10029ms
Step 2 took 8096ms
********** Factor found in step 2: 3688852328182643226043829314643
Found probable prime factor of 31 digits: 3688852328182643226043829314643

Mon Nov 24 22:45:24 2008  Msieve v. 1.39
Mon Nov 24 22:45:24 2008  random seeds: 5e5c56b8 b847632e
Mon Nov 24 22:45:25 2008  factoring 4201673421225585687652109078110886743277008789701716681609806135007807 (70 digits)
Mon Nov 24 22:45:25 2008  searching for 15-digit factors
Mon Nov 24 22:45:25 2008  commencing quadratic sieve (70-digit input)
Mon Nov 24 22:45:25 2008  using multiplier of 23
Mon Nov 24 22:45:25 2008  using 64kb Opteron sieve core
Mon Nov 24 22:45:25 2008  sieve interval: 6 blocks of size 65536
Mon Nov 24 22:45:25 2008  processing polynomials in batches of 17
Mon Nov 24 22:45:25 2008  using a sieve bound of 218287 (9781 primes)
Mon Nov 24 22:45:25 2008  using large prime bound of 21392126 (24 bits)
Mon Nov 24 22:45:25 2008  using trial factoring cutoff of 24 bits
Mon Nov 24 22:45:25 2008  polynomial 'A' values have 9 factors
Mon Nov 24 22:46:20 2008  10026 relations (4844 full + 5182 combined from 54427 partial), need 9877
Mon Nov 24 22:46:20 2008  begin with 59271 relations
Mon Nov 24 22:46:20 2008  reduce to 14536 relations in 2 passes
Mon Nov 24 22:46:20 2008  attempting to read 14536 relations
Mon Nov 24 22:46:20 2008  recovered 14536 relations
Mon Nov 24 22:46:20 2008  recovered 11729 polynomials
Mon Nov 24 22:46:20 2008  attempting to build 10026 cycles
Mon Nov 24 22:46:20 2008  found 10026 cycles in 1 passes
Mon Nov 24 22:46:20 2008  distribution of cycle lengths:
Mon Nov 24 22:46:20 2008     length 1 : 4844
Mon Nov 24 22:46:20 2008     length 2 : 5182
Mon Nov 24 22:46:20 2008  largest cycle: 2 relations
Mon Nov 24 22:46:20 2008  matrix is 9781 x 10026 (1.4 MB) with weight 292831 (29.21/col)
Mon Nov 24 22:46:20 2008  sparse part has weight 292831 (29.21/col)
Mon Nov 24 22:46:20 2008  filtering completed in 3 passes
Mon Nov 24 22:46:20 2008  matrix is 7725 x 7789 (1.2 MB) with weight 243518 (31.26/col)
Mon Nov 24 22:46:20 2008  sparse part has weight 243518 (31.26/col)
Mon Nov 24 22:46:20 2008  commencing Lanczos iteration
Mon Nov 24 22:46:20 2008  memory use: 1.5 MB
Mon Nov 24 22:46:20 2008  lanczos halted after 123 iterations (dim = 7717)
Mon Nov 24 22:46:20 2008  recovered 59 nontrivial dependencies
Mon Nov 24 22:46:20 2008  prp35 factor: 17459840163246399172064730922660979
Mon Nov 24 22:46:20 2008  prp36 factor: 240647874318475240136761574757014533
Mon Nov 24 22:46:20 2008  elapsed time 00:00:56

GMP-ECM 6.2.1 + Msieve-1.39/QS

4658180662644448017979591182199206192957275439326873380189147999176379892124261928899928390307204730058222534367087813<118>

1213740532142468235120515988563847529<37>
3837871883887678543854926447937643139346902671587478192888671244047886126346297597<82>

Number: 35559_142
N=4658180662644448017979591182199206192957275439326873380189147999176379892124261928899928390307204730058222534367087813
  ( 118 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=1213740532142468235120515988563847529 (pp37)
 r2=3837871883887678543854926447937643139346902671587478192888671244047886126346297597 (pp82)
Version: GGNFS-0.77.1-20060513-k8
Total time: 10.65 hours.
Scaled time: 21.34 units (timescale=2.003).
Factorization parameters were as follows:
name: 35559_142
n: 4658180662644448017979591182199206192957275439326873380189147999176379892124261928899928390307204730058222534367087813
m: 20000000000000000000000000000
deg: 5
c5: 100
c0: 31
skew: 0.79
type: snfs
lss: 1
rlim: 1730000
alim: 1730000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1730000/1730000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [865000, 1765001)
Primes: RFBsize:130213, AFBsize:130606, largePrimes:3697321 encountered
Relations: rels:3696975, finalFF:308074
Max relations in full relation-set: 28
Initial matrix: 260883 x 308074 with sparse part having weight 26725119.
Pruned matrix : 243807 x 245175 with weight 18265017.
Total sieving time: 9.84 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.61 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,1730000,1730000,26,26,48,48,2.3,2.3,100000
total time: 10.65 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

17707530313071302506770464821911341751421185586262790520373820609700536492625271455568848575873804968724781806697706346734440820566769<134>

23079352820141598249619821678406829423352705026772569<53>
767245531149285575267317899340707869952195439658557920669800614699184607306931801<81>

SNFS difficulty: 145 digits.
Divisors found:
 r1=23079352820141598249619821678406829423352705026772569 (pp53)
 r2=767245531149285575267317899340707869952195439658557920669800614699184607306931801 (pp81)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.729).
Factorization parameters were as follows:
n: 17707530313071302506770464821911341751421185586262790520373820609700536492625271455568848575873804968724781806697706346734440820566769
m: 40000000000000000000000000000
deg: 5
c5: 125
c0: 124
skew: 1.00
type: snfs
lss: 1
rlim: 1830000
alim: 1830000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.3
alambda: 2.3
Factor base limits: 1830000/1830000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved rational special-q in [915000, 2015001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 280603 x 280845
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1830000,1830000,26,26,50,50,2.3,2.3,100000
total time: 8.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

645522616169409752919180544786267715281071636514574448021532325578189047306661052443515232321172943154564141276747304249108267281<129>

36079668826573699943490114729420937250109313<44>
17891589284599087776495371368847733054140180147919739353006755447057290876475925057937<86>

Number: 35559_149
N=645522616169409752919180544786267715281071636514574448021532325578189047306661052443515232321172943154564141276747304249108267281
  ( 129 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=36079668826573699943490114729420937250109313
 r2=17891589284599087776495371368847733054140180147919739353006755447057290876475925057937
Version: 
Total time: 24.26 hours.
Scaled time: 19.26 units (timescale=0.794).
Factorization parameters were as follows:
n: 645522616169409752919180544786267715281071636514574448021532325578189047306661052443515232321172943154564141276747304249108267281
m: 1000000000000000000000000000000
deg: 5
c5: 16
c0: 155
skew: 1.57
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 332704 x 332952
Total sieving time: 24.26 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 24.26 hours.
 --------- CPU info (if available) ----------

GGNFS; Msieve

31965080483725198765375891316094958518982027309305547961910175720694233352383936555933314648188090942893133766167<113>

9328504925290444441822005205016085050202529<43>
3426602734277911210608358720760753470015484796145599102726577084452023<70>

Number: 35559_150
N=31965080483725198765375891316094958518982027309305547961910175720694233352383936555933314648188090942893133766167
  ( 113 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=9328504925290444441822005205016085050202529 (pp43)
 r2=3426602734277911210608358720760753470015484796145599102726577084452023 (pp70)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 9.37 hours.
Scaled time: 22.29 units (timescale=2.379).
Factorization parameters were as follows:
n: 31965080483725198765375891316094958518982027309305547961910175720694233352383936555933314648188090942893133766167
m: 2000000000000000000000000000000
deg: 5
c5: 1
c0: 31
skew: 1.99
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 1600001)
Primes: RFBsize:148933, AFBsize:148876, largePrimes:6640709 encountered
Relations: rels:6470040, finalFF:365507
Max relations in full relation-set: 28
Initial matrix: 297873 x 365507 with sparse part having weight 36847502.
Pruned matrix : 270279 x 271832 with weight 24272165.
Total sieving time: 8.90 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.37 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2000000,2000000,27,27,49,49,2.4,2.4,100000
total time: 9.37 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: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)

Core 2 Quad Q6700

225072193439412145701799215959772861124655915684613894776517073007926147419114083683529204169407787632869729361<111>

34721041154083197424198540840683236213110001909<47>
6482299664938003634923870800254260917289099912150023501829586029<64>

Number: 35559_157
N=225072193439412145701799215959772861124655915684613894776517073007926147419114083683529204169407787632869729361
  ( 111 digits)
Divisors found:
 r1=34721041154083197424198540840683236213110001909 (pp47)
 r2=6482299664938003634923870800254260917289099912150023501829586029 (pp64)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 15.38 hours.
Scaled time: 36.67 units (timescale=2.384).
Factorization parameters were as follows:
name: 35559_157
n: 225072193439412145701799215959772861124655915684613894776517073007926147419114083683529204169407787632869729361
skew: 28795.49
# norm 1.13e+16
c5: 46800
c4: 1274979120
c3: -523803857097587
c2: -954455472874104530
c1: 68225153952563267555272
c0: 198863934818240337723728640
# alpha -6.89
Y1: 444567509023
Y0: -1369034617122522968939
# Murphy_E 9.23e-10
# M 11475828137743923857118331731015828543479728004221583302539558888654103715022607496554975749211705474898107198
type: gnfs
rlim: 2100000
alim: 2100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [1050000, 1950001)
Primes: RFBsize:155805, AFBsize:155375, largePrimes:8686731 encountered
Relations: rels:8631688, finalFF:456376
Max relations in full relation-set: 28
Initial matrix: 311259 x 456376 with sparse part having weight 50491100.
Pruned matrix : 250053 x 251673 with weight 27602004.
Polynomial selection time: 0.84 hours.
Total sieving time: 13.96 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.35 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2100000,2100000,27,27,51,51,2.6,2.6,50000
total time: 15.38 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: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)

Core 2 Quad Q6700

75191781271495427961526192435963176611571086648507863294028382067951511505660654447069167461791164580416202384221687140995631470166755061<137>

728383830613617901512898035711531200163111814922121405509<57>
103230986344316631452156190293703543504210710933180145720843938503614168819071729<81>

Number: 35559_158
N=75191781271495427961526192435963176611571086648507863294028382067951511505660654447069167461791164580416202384221687140995631470166755061
  ( 137 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=728383830613617901512898035711531200163111814922121405509 (pp57)
 r2=103230986344316631452156190293703543504210710933180145720843938503614168819071729 (pp81)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 61.27 hours.
Scaled time: 61.94 units (timescale=1.011).
Factorization parameters were as follows:
name: 35559_158
n: 75191781271495427961526192435963176611571086648507863294028382067951511505660654447069167461791164580416202384221687140995631470166755061
m: 40000000000000000000000000000000
deg: 5
c5: 125
c0: 124
skew: 1.00
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1650000, 3350001)
Primes: RFBsize:236900, AFBsize:237133, largePrimes:10009512 encountered
Relations: rels:11723424, finalFF:1603464
Max relations in full relation-set: 28
Initial matrix: 474099 x 1603464 with sparse part having weight 209003057.
Pruned matrix : 327083 x 329517 with weight 65552425.
Total sieving time: 59.47 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.51 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 61.27 hours.
 --------- CPU info (if available) ----------

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

14279870745128086325073949925715343467378244321563381991867004239842949568432183034744786374363261516380339<107>

691801292122926124619142949686718950073469<42>
20641578597385298121235556805106391775954256529093190003746261231<65>

Number: 35559_159
N=14279870745128086325073949925715343467378244321563381991867004239842949568432183034744786374363261516380339
  ( 107 digits)
Divisors found:
 r1=691801292122926124619142949686718950073469 (pp42)
 r2=20641578597385298121235556805106391775954256529093190003746261231 (pp65)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 9.48 hours.
Scaled time: 22.54 units (timescale=2.378).
Factorization parameters were as follows:
name: 35559_159
n: 14279870745128086325073949925715343467378244321563381991867004239842949568432183034744786374363261516380339
skew: 6610.55
# norm 1.46e+14
c5: 25440
c4: -137352764
c3: 14140130325568
c2: 11186446944255427
c1: -256581559691255668326
c0: 88625683951583427259919
# alpha -5.09
Y1: 6223772741
Y0: -223790397110437034630
# Murphy_E 1.59e-09
# M 11583433849997306632283936826464805133153048936625287091066066575029620600574454972810926420293069935986582
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 51
mfba: 51
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 51/51
Sieved algebraic special-q in [900000, 1450001)
Primes: RFBsize:135072, AFBsize:134928, largePrimes:5377820 encountered
Relations: rels:5449762, finalFF:384816
Max relations in full relation-set: 28
Initial matrix: 270076 x 384816 with sparse part having weight 38468322.
Pruned matrix : 215248 x 216662 with weight 19235135.
Polynomial selection time: 0.55 hours.
Total sieving time: 8.62 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,51,51,2.6,2.6,50000
total time: 9.48 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)

Core 2 Quad Q6700

47604967128978778980308853599287784927336120234905235004022738211686430159655031390012816340428481995268348789459939011327567<125>

49505366525422020814016668476770343965501<41>
961612254795298853587706824117737416378847326019848732349508624487390819019261139067<84>

N=47604967128978778980308853599287784927336120234905235004022738211686430159655031390012816340428481995268348789459939011327567
  ( 125 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=49505366525422020814016668476770343965501 (pp41)
 r2=961612254795298853587706824117737416378847326019848732349508624487390819019261139067 (pp84)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 30.26 hours.
Scaled time: 46.29 units (timescale=1.530).
Factorization parameters were as follows:
n: 47604967128978778980308853599287784927336120234905235004022738211686430159655031390012816340428481995268348789459939011327567
m: 200000000000000000000000000000000
deg: 5
c5: 1
c0: 31
skew: 1.99
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
qintsize: 5000
type: snfs
rlambda: 2.4
alambda: 2.4

Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 1985001)
Primes: RFBsize:243539, AFBsize:243245, largePrimes:10208774 encountered
Relations: rels:12323629, finalFF:1513653
Max relations in full relation-set: 32
Initial matrix: 486848 x 1513653 with sparse part having weight 217147940.
Pruned matrix : 344986 x 347484 with weight 86395308.
Total sieving time: 27.94 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 2.14 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 30.26 hours.
 --------- CPU info (if available) ----------
Intel(R) Xeon(R) CPU           E5335  @ 2.00GHz stepping 0b
Intel(R) Xeon(R) CPU           E5335  @ 2.00GHz stepping 0b
Intel(R) Xeon(R) CPU           E5335  @ 2.00GHz stepping 0b
Memory: 16428772k/17825792k available (1928k kernel code, 343260k reserved, 867k data, 176k init)
Calibrating delay using timer specific routine.. 3993.74 BogoMIPS (lpj=7987498)
Calibrating delay using timer specific routine.. 3990.12 BogoMIPS (lpj=7980241)
Calibrating delay using timer specific routine.. 3990.13 BogoMIPS (lpj=7980276)
Calibrating delay using timer specific routine.. 3990.04 BogoMIPS (lpj=7980080)

392381191902339709749372813102397984185725242296439646480483642273917995502467744884092300496990794306058047534341998381451290475411990043727<141>

110241649022448520071238394292360412717056973196080358021493292843<66>
3559282679293368344699238534100485608179773689995381905642703269366099354989<76>

SNFS difficulty: 162 digits.
Divisors found:
 r1=110241649022448520071238394292360412717056973196080358021493292843 (pp66)
 r2=3559282679293368344699238534100485608179773689995381905642703269366099354989 (pp76)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.729).
Factorization parameters were as follows:
n: 392381191902339709749372813102397984185725242296439646480483642273917995502467744884092300496990794306058047534341998381451290475411990043727
m: 200000000000000000000000000000000
deg: 5
c5: 10
c0: 31
skew: 1.25
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1800000, 3100001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 689147 x 689389
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,52,52,2.4,2.4,100000
total time: 19.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

1967884435303659598974407641705651605895826214331689001349496161987105599499654836345057185351290971556047757091915941837674076873585191<136>

7298831326676946646025396317875694511838180349179983<52>
269616373803723615329708115913185862970918638097728700348675818639575345943982545577<84>

SNFS difficulty: 165 digits.
Divisors found:
 r1=7298831326676946646025396317875694511838180349179983 (pp52)
 r2=269616373803723615329708115913185862970918638097728700348675818639575345943982545577 (pp84)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.310).
Factorization parameters were as follows:
n: 1967884435303659598974407641705651605895826214331689001349496161987105599499654836345057185351290971556047757091915941837674076873585191
m: 400000000000000000000000000000000
deg: 5
c5: 125
c0: 124
skew: 1.00
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2000000, 3800001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 751201 x 751443
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,52,52,2.4,2.4,100000
total time: 32.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

13311203457585098107729233482668397123116152729420671467019413558292671766521491353957379190429244713996314460542681125961422468479486187546537215213041651587569<161>

9750124430174322079990785274701676614927947079446672633<55>
1365234213461941186730471721006005384005878692179369864168580091088793810524096380552387838598296089911993<106>

Number: n
N=13311203457585098107729233482668397123116152729420671467019413558292671766521491353957379190429244713996314460542681125961422468479486187546537215213041651587569
  ( 161 digits)
SNFS difficulty: 166 digits.
Divisors found:

Fri Dec 05 18:46:41 2008  prp55 factor: 9750124430174322079990785274701676614927947079446672633
Fri Dec 05 18:46:41 2008  prp106 factor: 1365234213461941186730471721006005384005878692179369864168580091088793810524096380552387838598296089911993
Fri Dec 05 18:46:41 2008  elapsed time 02:08:47 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 31.27 hours.
Scaled time: 57.00 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_3_5_163_9
n: 13311203457585098107729233482668397123116152729420671467019413558292671766521491353957379190429244713996314460542681125961422468479486187546537215213041651587569
type: snfs
skew: 3.15
deg: 5
c5: 1
c0: 310
m: 2000000000000000000000000000000000
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 1900001)
Primes: RFBsize:348513, AFBsize:349532, largePrimes:14897284 encountered
Relations: rels:13440474, finalFF:731215
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 30.82 hours.
Total relation processing time: 0.45 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,56,56,2.5,2.5,100000
total time: 31.27 hours.
 --------- CPU info (if available) ----------

5240839583066786717102808797593959640532192845212103667267982451818208133709752857084047933147048892935211822889041927310853330956386924574126589931<148>

46393037881197844769329919028092780602515119298841<50>
112966079015722151503179720005482232418100365053255767820984303808963205364486267061134585021699491<99>

Number: 35559_165
N=5240839583066786717102808797593959640532192845212103667267982451818208133709752857084047933147048892935211822889041927310853330956386924574126589931
  ( 148 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=46393037881197844769329919028092780602515119298841 (pp50)
 r2=112966079015722151503179720005482232418100365053255767820984303808963205364486267061134585021699491 (pp99)
Version: Msieve-1.39
Total time: 32.66 hours.
Scaled time: 84.30 units (timescale=2.581).
Factorization parameters were as follows:
n: 5240839583066786717102808797593959640532192845212103667267982451818208133709752857084047933147048892935211822889041927310853330956386924574126589931
m: 2000000000000000000000000000000000
deg: 5
c5: 1
c0: 31
skew: 1.99
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 3700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 760137 x 760385
Total sieving time: 32.66 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 32.66 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

32835394646430181205812761282197698125513991593693821482034452227895325294651015157181683388666833151226627373344575666356437173478223009966051161<146>

5463215511259409267862691359715547396629804846074347587647637<61>
6010268966830633552407442674646264717255365729873344812447062941431439165340265027253<85>

Number: n
N=32835394646430181205812761282197698125513991593693821482034452227895325294651015157181683388666833151226627373344575666356437173478223009966051161
  ( 146 digits)
SNFS difficulty: 168 digits.
Divisors found:

Mon Apr 13 20:51:07 2009  prp61 factor: 5463215511259409267862691359715547396629804846074347587647637
Mon Apr 13 20:51:07 2009  prp85 factor: 6010268966830633552407442674646264717255365729873344812447062941431439165340265027253
Mon Apr 13 20:51:07 2009  elapsed time 01:21:47 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 38.37 hours.
Scaled time: 97.99 units (timescale=2.554).
Factorization parameters were as follows:
name: KA_3_5_166_9
n: 32835394646430181205812761282197698125513991593693821482034452227895325294651015157181683388666833151226627373344575666356437173478223009966051161
m: 2000000000000000000000000000000000
deg: 5
c5: 100
c0: 31
skew: 0.79
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2250000, 4453171)
Primes: RFBsize:315948, AFBsize:316592, largePrimes:15819911 encountered
Relations: rels:15045685, finalFF:641270
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1549571 hash collisions in 16281834 relations
Msieve: matrix is 826261 x 826509 (221.8 MB)

Total sieving time: 37.90 hours.
Total relation processing time: 0.47 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4500000,4500000,28,28,56,56,2.4,2.4,100000
total time: 38.37 hours.
 --------- CPU info (if available) ----------

1868282919977985573733322020556574078433082808304869247090505648965219877477967805693204420862322587884350227847740147854847247088742417<136>

1073104304815526983816771184467768044461214238015586531509631<61>
1741007758140672565912344588362661612431195406392316590249384001939025425007<76>

Number: n
N=1868282919977985573733322020556574078433082808304869247090505648965219877477967805693204420862322587884350227847740147854847247088742417
  ( 136 digits)
SNFS difficulty: 170 digits.
Divisors found:

Fri Jun 26 12:41:03 2009  prp61 factor: 1073104304815526983816771184467768044461214238015586531509631
Fri Jun 26 12:41:03 2009  prp76 factor: 1741007758140672565912344588362661612431195406392316590249384001939025425007
Fri Jun 26 12:41:03 2009  elapsed time 01:41:17 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 45.35 hours.
Scaled time: 120.14 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_3_5_167_9
n: 1868282919977985573733322020556574078433082808304869247090505648965219877477967805693204420862322587884350227847740147854847247088742417
m: 4000000000000000000000000000000000
deg: 5
c5: 125
c0: 124
skew: 1.00
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2400000, 4894117)
Primes: RFBsize:335439, AFBsize:335383, largePrimes:15896129 encountered
Relations: rels:14761745, finalFF:507282
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1791801 hash collisions in 17666333 relations
Msieve: matrix is 827896 x 828144 (222.0 MB)

Total sieving time: 44.92 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4800000,4800000,28,28,56,56,2.4,2.4,100000
total time: 45.35 hours.
 --------- CPU info (if available) ----------

51974250881833316719542620118708438034116908275006951728130281769646934615105622512928289385314953724883875501442384150151800013857763<134>

36503865295478130758755327213624903058483920561<47>
1423801300523414982742214232334802997389942436426180599813692010039144526423143680899283<88>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1504946988
Step 1 took 38186ms
Step 2 took 14458ms
********** Factor found in step 2: 36503865295478130758755327213624903058483920561
Found probable prime factor of 47 digits: 36503865295478130758755327213624903058483920561
Probable prime cofactor 1423801300523414982742214232334802997389942436426180599813692010039144526423143680899283 has 88 digits

GMP-ECM 6.2.1

296166359396073944683160485101585851681443934301671987655522323564543253916503976987487165849021699261332677580008470890265619918699850211710956573792757<153>

1528216471097860021313334111063020163874176813026371<52>
193798696059930635413390537724663298714890396659618435429067607489207334036908047360384278676186052967<102>

Number: 35559_170
N=296166359396073944683160485101585851681443934301671987655522323564543253916503976987487165849021699261332677580008470890265619918699850211710956573792757
  ( 153 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=1528216471097860021313334111063020163874176813026371 (pp52)
 r2=193798696059930635413390537724663298714890396659618435429067607489207334036908047360384278676186052967 (pp102)
Version: Msieve-1.41
Total time: 90.66 hours.
Scaled time: 68.27 units (timescale=0.753).
Factorization parameters were as follows:
n: 296166359396073944683160485101585851681443934301671987655522323564543253916503976987487165849021699261332677580008470890265619918699850211710956573792757
m: 20000000000000000000000000000000000
deg: 5
c5: 1
c0: 31
skew: 1.99
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 : 794466 x 794714
Total sieving time: 90.66 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 90.66 hours.
 --------- CPU info (if available) ----------

GGNFS & Msieve 1.41

Intel Pentium D 930 @ 3.0Ghz on Windows XP

72323092455348255606913773953246025237597023245663470099107828828462374083239962051745719958418636430969052523335850001307346533931133995983780922691152215989<158>

107987834546806140945454007205523<33>
669733704346118779197931924293208612028416461194287929094971953976142368895751217073718031774189697036538650671648735737179543<126>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3083652194
Step 1 took 19369ms
Step 2 took 12661ms
********** Factor found in step 2: 107987834546806140945454007205523
Found probable prime factor of 33 digits: 107987834546806140945454007205523
Probable prime cofactor 669733704346118779197931924293208612028416461194287929094971953976142368895751217073718031774189697036538650671648735737179543 has 126 digits

GMP-ECM 6.2.1

6283492866906522644517178693546527362083909667826028050003387738110501587353659388507972141386831906179067405113750037272333826817013496063045423<145>

380180911264424017571063306253381757<36>
8546276063952874782271324462814821241<37>
1933899502523280503850307241008143800862805194330635461115742340415465779<73>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3539868959
Step 1 took 47496ms
Step 2 took 15500ms
********** Factor found in step 2: 380180911264424017571063306253381757
Found probable prime factor of 36 digits: 380180911264424017571063306253381757
Composite cofactor 16527639028505084337691953712714662144081862856051421639105985515388478037245990081581868705420160179637811739 has 110 digits
--------------
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=118001667
Step 1 took 30447ms
Step 2 took 13004ms
********** Factor found in step 2: 8546276063952874782271324462814821241
Found probable prime factor of 37 digits: 8546276063952874782271324462814821241
Probable prime cofactor 1933899502523280503850307241008143800862805194330635461115742340415465779 has 73 digits

GMP-ECM 6.2.1

10320466907379907003573907490100780116960091148587289259593641077168260117383620241551239976395405649587313707303279410277108007400177542194358232051120309488623<161>

883974981297485351418043172686545676965899720962978050702777075122028513687557<78>
11675066744798228254571491305916077991098195767720093737249169404869366403784112739<83>

N=10320466907379907003573907490100780116960091148587289259593641077168260117383620241551239976395405649587313707303279410277108007400177542194358232051120309488623
  ( 161 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=883974981297485351418043172686545676965899720962978050702777075122028513687557 (pp78)
 r2=11675066744798228254571491305916077991098195767720093737249169404869366403784112739 (pp83)
Version: Msieve-1.40
Total time: 59.88 hours.
Scaled time: 113.41 units (timescale=1.894).
Factorization parameters were as follows:
n: 10320466907379907003573907490100780116960091148587289259593641077168260117383620241551239976395405649587313707303279410277108007400177542194358232051120309488623
m: 200000000000000000000000000000000000
deg: 5
c5: 1
c0: 31
skew: 1.99
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3050000, 6050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1202961 x 1203186
Total sieving time: 58.05 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.58 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 59.88 hours.
 --------- CPU info (if available) ----------

318406724590819995822901781774180179798307250349973766270956759471281653732886011686123805091701634192663331953239186434997913938443422955871116520045345097665790152655129<171>

3660718354755801093405249716097352669909<40>
86979301255766846910552733876279826203666396318195941678536718624178967053141838401347217342937724437358746417149543025182392182581<131>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3906121173
Step 1 took 24827ms
Step 2 took 17271ms
********** Factor found in step 2: 3660718354755801093405249716097352669909
Found probable prime factor of 40 digits: 3660718354755801093405249716097352669909
Probable prime cofactor 86979301255766846910552733876279826203666396318195941678536718624178967053141838401347217342937724437358746417149543025182392182581 has 131 digits

GMP-ECM 6.2.1

113462770343793449702982219152132810716108582228971636936963039745855536591539628549443068889913959912589154808976475546443781600500480892271807366826930061888449493263359<171>

372638789975169574957214534210894523011<39>
304484593113223482635726534234166940008636199680134144356572163201145489184394894990238818475119649638851178460186072715697294579669<132>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=742742276
Step 1 took 24819ms
Step 2 took 16777ms
********** Factor found in step 2: 372638789975169574957214534210894523011
Found probable prime factor of 39 digits: 372638789975169574957214534210894523011
Probable prime cofactor 304484593113223482635726534234166940008636199680134144356572163201145489184394894990238818475119649638851178460186072715697294579669 has 132 digits

GMP-ECM 6.2.1

36385581291792537060022108713544062861003199359279195275668921148201505716796853948709963092324141837416724641664856137854827124987156543264874934935196811979770509493847<170>

1045960302701948956395230224013443350621818051<46>
413777354692132623019625498533669495487212227896157806887<57>
84071229085862661406852487761688836063480414699863381009527424893531<68>

Number: n
N=36385581291792537060022108713544062861003199359279195275668921148201505716796853948709963092324141837416724641664856137854827124987156543264874934935196811979770509493847
  ( 170 digits)
SNFS difficulty: 183 digits.
Divisors found:

Mon Feb 27 12:14:45 2012  prp46 factor: 1045960302701948956395230224013443350621818051
Mon Feb 27 12:14:45 2012  prp57 factor: 413777354692132623019625498533669495487212227896157806887
Mon Feb 27 12:14:45 2012  prp68 factor: 84071229085862661406852487761688836063480414699863381009527424893531
Mon Feb 27 12:14:45 2012  elapsed time 02:22:08 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.655).
Factorization parameters were as follows:
name: KA_35559_182
n: 36385581291792537060022108713544062861003199359279195275668921148201505716796853948709963092324141837416724641664856137854827124987156543264874934935196811979770509493847
m: 2000000000000000000000000000000000000
#  c170, diff: 183.51
skew: 0.79
deg: 5
c5: 100
c0: 31
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, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5897192 hash collisions in 75536820 relations (72343190 unique)
Msieve: matrix is 1042489 x 1042737 (288.6 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,183,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

267687607123665793729014598669898760296028697918375005057831858035825954168920366274610560749573483715546482284112098903477110605733639337075321662839612234759120344727431234839<177>

212290061038803593589142171602221704380603215935570484415825148441314679<72>
1260952141677213608639047785623943607927784870137523134959838101207965268243184584185162577293037879027041<106>

Number: 11
N=267687607123665793729014598669898760296028697918375005057831858035825954168920366274610560749573483715546482284112098903477110605733639337075321662839612234759120344727431234839
  ( 177 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=212290061038803593589142171602221704380603215935570484415825148441314679 (pp72)
 r2=1260952141677213608639047785623943607927784870137523134959838101207965268243184584185162577293037879027041 (pp106)
Version: Msieve-1.40
Total time: 193.20 hours.
Scaled time: 335.98 units (timescale=1.739).
Factorization parameters were as follows:
n: 267687607123665793729014598669898760296028697918375005057831858035825954168920366274610560749573483715546482284112098903477110605733639337075321662839612234759120344727431234839
m: 2000000000000000000000000000000000000
deg: 5
c5: 1000
c0: 31
skew: 0.50
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4150000, 7250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1747058 x 1747283
Total sieving time: 187.94 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 4.59 hours.
Time per square root: 0.41 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000
total time: 193.20 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

35491318293428010515336987081218675327697684358181376288774351805701312619340311612893431845955971833880012627751952222038626098759606480638784250991<149>

15417028092508758653348821980081269489703917880133936610025909880351381<71>
2302085595256422300355798588009512246091791652182204305529635885524338725901811<79>

Number: 35559_184
N=35491318293428010515336987081218675327697684358181376288774351805701312619340311612893431845955971833880012627751952222038626098759606480638784250991
  ( 149 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=15417028092508758653348821980081269489703917880133936610025909880351381
 r2=2302085595256422300355798588009512246091791652182204305529635885524338725901811
Version: 
Total time: 72.96 hours.
Scaled time: 382.83 units (timescale=5.247).
Factorization parameters were as follows:
n: 35491318293428010515336987081218675327697684358181376288774351805701312619340311612893431845955971833880012627751952222038626098759606480638784250991
m: 20000000000000000000000000000000000000
deg: 5
c5: 1
c0: 310
skew: 3.15
# Murphy_E = 6.267e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 7500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20059604
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1751232 x 1751479
Total sieving time: 66.93 hours.
Total relation processing time: 1.75 hours.
Matrix solve time: 4.11 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 72.96 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

13939754936490940376473654469094151737899588897988163680054614482924135983179890890826219885983713958840873883452512077757692298969891394600817246475287271316244604684778990527<176>

3568420194938534766279266855287<31>
3906421938835330886237170731851398038761864173604013154645274793931398036626799143927453920469689066686149317964345952393979283699104118805078521<145>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2825353847
Step 1 took 22174ms
Step 2 took 14393ms
********** Factor found in step 2: 3568420194938534766279266855287
Found probable prime factor of 31 digits: 3568420194938534766279266855287
Probable prime cofactor 3906421938835330886237170731851398038761864173604013154645274793931398036626799143927453920469689066686149317964345952393979283699104118805078521 has 145 digits

GMP-ECM 6.2.1

1013189270287102387914764597285001488562262680310730399970902058978063583828522312595771708589417687937863132485295867979318009767323<133>

426892186754019709687986691410122407<36>
2373407857358874412233536608360417319692140812876644426471548027819447985400508358165919646993389<97>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4039017758
Step 1 took 13817ms
Step 2 took 10652ms
********** Factor found in step 2: 426892186754019709687986691410122407
Found probable prime factor of 36 digits: 426892186754019709687986691410122407
Probable prime cofactor 2373407857358874412233536608360417319692140812876644426471548027819447985400508358165919646993389 has 97 digits

GMP-ECM 6.2.1

391568040315369356965711651090552236242713527687864817222641653356465229996126810678330819938976990734802301059733175924953375844595969584899671264509485497<156>

11743897236551243905849683347557208776878649033<47>
33342257040249670059783237719635942597138097155712984135920439278405755069985308186860704068683189393763607409<110>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1904311714
Step 1 took 29630ms
Step 2 took 9536ms
********** Factor found in step 2: 11743897236551243905849683347557208776878649033
Found probable prime factor of 47 digits: 11743897236551243905849683347557208776878649033
Probable prime cofactor 33342257040249670059783237719635942597138097155712984135920439278405755069985308186860704068683189393763607409 has 110 digits

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]

Core-i5, 3.4 GHz, OpenSUSE

188151941680311014718760631093015830574602645044946468421261353540654996592368547311972347646598243163342609137118625914623432844827425366951<141>

333814150829410815649737373435823<33>
563642797085802332383830652856064364475273552193519508492141508999800002809776410596006504633051870472710537<108>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1257938415
Step 1 took 14609ms
Step 2 took 10712ms
********** Factor found in step 2: 333814150829410815649737373435823
Found probable prime factor of 33 digits: 333814150829410815649737373435823
Probable prime cofactor 563642797085802332383830652856064364475273552193519508492141508999800002809776410596006504633051870472710537 has 108 digits

GMP-ECM 6.2.1

51754811580139091056121623807213326863981885815946951318130357431667475335597606339964418567038654374898916383632540837781012453501536470968785379265728610706776645641274462235160925117257<188>

52311355555847030303143653332060151795995423261951000945838450963825453383089608706687<86>
989360933782077602757730767136340057134054664376326080972807007427391485597216486100369325941804525111<102>

Number: 35559_190
N=51754811580139091056121623807213326863981885815946951318130357431667475335597606339964418567038654374898916383632540837781012453501536470968785379265728610706776645641274462235160925117257
  ( 188 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=52311355555847030303143653332060151795995423261951000945838450963825453383089608706687
 r2=989360933782077602757730767136340057134054664376326080972807007427391485597216486100369325941804525111
Version: 
Total time: 386.28 hours.
Scaled time: 721.57 units (timescale=1.868).
Factorization parameters were as follows:
n: 51754811580139091056121623807213326863981885815946951318130357431667475335597606339964418567038654374898916383632540837781012453501536470968785379265728610706776645641274462235160925117257
m: 200000000000000000000000000000000000000
deg: 5
c5: 1
c0: 31
skew: 1.99
type: snfs
lss: 1
rlim: 10900000
alim: 10900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10900000/10900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5450000, 9050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1769931 x 1770179
Total sieving time: 386.28 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10900000,10900000,28,28,54,54,2.5,2.5,100000
total time: 386.28 hours.
 --------- CPU info (if available) ----------

153387726390469577476407278001343853808225876049541872006272825303641836503362821534826705825391454724615601015315550069032706461552087366963152364154591<153>

46715717673680006628682189337256257684023988969700084573316990865535243031<74>
3283428662316995680102448911782826135534554389764206694398570471670876265168761<79>

p74 factor: 46715717673680006628682189337256257684023988969700084573316990865535243031
p79 factor: 3283428662316995680102448911782826135534554389764206694398570471670876265168761


Msieve v. 1.54 (SVN 1032M)
random seeds: 39401ca5 2744f94f
factoring 153387726390469577476407278001343853808225876049541872006272825303641836503362821534826705825391454724615601015315550069032706461552087366963152364154591 (153 digits)
searching for 15-digit factors
commencing number field sieve (153-digit input)
R0: -200000000000000000000000000000000000000
R1: 1
A0: 31
A1: 0
A2: 0
A3: 0
A4: 0
A5: 10
skew 1.00, size 2.057e-13, alpha 1.057, combined = 3.064e-11 rroots = 1

commencing relation filtering
estimated available RAM is 48213.5 MB
commencing duplicate removal, pass 1
found 657933 hash collisions in 38033754 relations
added 727550 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 38761304 unique relations
memory use: 159.3 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1259.3 MB
keeping 40601693 ideals with weight <= 200, target excess is 210988
commencing in-memory singleton removal
begin with 38761304 relations and 40601693 unique ideals
reduce to 15561197 relations and 13550597 ideals in 13 passes
max relations containing the same ideal: 111
removing 2034479 relations and 1634479 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 13526718 relations and 13550597 unique ideals
reduce to 13308852 relations and 11691105 ideals in 8 passes
max relations containing the same ideal: 102
removing 1619812 relations and 1219812 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11689040 relations and 11691105 unique ideals
reduce to 11528659 relations and 10306022 ideals in 8 passes
max relations containing the same ideal: 96
removing 1514921 relations and 1114921 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10013738 relations and 10306022 unique ideals
reduce to 9849140 relations and 9021249 ideals in 8 passes
max relations containing the same ideal: 85
removing 1484718 relations and 1084718 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 8364422 relations and 9021249 unique ideals
reduce to 8173111 relations and 7738119 ideals in 9 passes
max relations containing the same ideal: 77
removing 846947 relations and 656702 ideals in 190245 cliques
commencing in-memory singleton removal
begin with 7326164 relations and 7738119 unique ideals
reduce to 7252896 relations and 7006532 ideals in 7 passes
max relations containing the same ideal: 70
relations with 0 large ideals: 4558
relations with 1 large ideals: 14516
relations with 2 large ideals: 111895
relations with 3 large ideals: 473626
relations with 4 large ideals: 1197097
relations with 5 large ideals: 1883921
relations with 6 large ideals: 1925317
relations with 7+ large ideals: 1641966
commencing 2-way merge
reduce to 4486250 relation sets and 4239886 unique ideals
commencing full merge
memory use: 480.0 MB
found 2072087 cycles, need 2044086
weight of 2044086 cycles is about 184167371 (90.10/cycle)
distribution of cycle lengths:
1 relations: 160441
2 relations: 162475
3 relations: 172146
4 relations: 172654
5 relations: 169844
6 relations: 160366
7 relations: 153430
8 relations: 140922
9 relations: 126999
10+ relations: 624809
heaviest cycle: 26 relations
commencing cycle optimization
start with 15259701 relations
pruned 523394 relations
memory use: 450.8 MB
distribution of cycle lengths:
1 relations: 160441
2 relations: 166477
3 relations: 178795
4 relations: 178403
5 relations: 176405
6 relations: 166172
7 relations: 158992
8 relations: 144741
9 relations: 129863
10+ relations: 583797
heaviest cycle: 25 relations
RelProcTime: 694
elapsed time 00:11:36


Msieve v. 1.54 (SVN 1032M)
random seeds: fcea6121 19c8ddcb
factoring 153387726390469577476407278001343853808225876049541872006272825303641836503362821534826705825391454724615601015315550069032706461552087366963152364154591 (153 digits)
searching for 15-digit factors
commencing number field sieve (153-digit input)
R0: -200000000000000000000000000000000000000
R1: 1
A0: 31
A1: 0
A2: 0
A3: 0
A4: 0
A5: 10
skew 1.00, size 2.057e-13, alpha 1.057, combined = 3.064e-11 rroots = 1

commencing linear algebra
read 2044086 cycles
cycles contain 7075621 unique relations
read 7075621 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 872.7 MB
read 2044086 cycles
matrix is 2043909 x 2044086 (750.8 MB) with weight 221725926 (108.47/col)
sparse part has weight 174343190 (85.29/col)
filtering completed in 2 passes
matrix is 2043198 x 2043375 (750.8 MB) with weight 221698955 (108.50/col)
sparse part has weight 174332827 (85.32/col)
matrix starts at (0, 0)
matrix is 2043198 x 2043375 (750.8 MB) with weight 221698955 (108.50/col)
sparse part has weight 174332827 (85.32/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2043150 x 2043375 (715.6 MB) with weight 182358502 (89.24/col)
sparse part has weight 167162324 (81.81/col)
using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
commencing Lanczos iteration (8 threads)
memory use: 678.8 MB
linear algebra at 0.1%, ETA 1h29m
checkpointing every 1220000 dimensions
lanczos halted after 32312 iterations (dim = 2043150)
recovered 39 nontrivial dependencies
BLanczosTime: 5545
elapsed time 01:32:26


Msieve v. 1.54 (SVN 1032M)
random seeds: 2bb0b24d 23801c36
factoring 153387726390469577476407278001343853808225876049541872006272825303641836503362821534826705825391454724615601015315550069032706461552087366963152364154591 (153 digits)
searching for 15-digit factors
commencing number field sieve (153-digit input)
R0: -200000000000000000000000000000000000000
R1: 1
A0: 31
A1: 0
A2: 0
A3: 0
A4: 0
A5: 10
skew 1.00, size 2.057e-13, alpha 1.057, combined = 3.064e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1021301 cycles
cycles contain 3534690 unique relations
read 3534690 relations
multiplying 3534690 relations
multiply complete, coefficients have about 90.27 million bits
initial square root is modulo 3016901
GCD is 1, no factor found
reading relations for dependency 2
read 1021875 cycles
cycles contain 3537032 unique relations
read 3537032 relations
multiplying 3537032 relations
multiply complete, coefficients have about 90.33 million bits
initial square root is modulo 3047351
sqrtTime: 469
p74 factor: 46715717673680006628682189337256257684023988969700084573316990865535243031
p79 factor: 3283428662316995680102448911782826135534554389764206694398570471670876265168761
elapsed time 00:07:51

CADO-NFS/Msieve

7924678028335832903032724483542542374320055427682037604821704596035894851433050119354897873245078423059755094543611238015702940394212433220595028784125949841<157>

2940337569525352833081344456795152650732102724257915499075127149<64>
2695159260103282158257538851694365768306989447206234736880541992583299759258706476287169619509<94>

7924678028335832903032724483542542374320055427682037604821704596035894851433050119354897873245078423059755094543611238015702940394212433220595028784125949841=2940337569525352833081344456795152650732102724257915499075127149*2695159260103282158257538851694365768306989447206234736880541992583299759258706476287169619509

cado polynomial
n: 7924678028335832903032724483542542374320055427682037604821704596035894851433050119354897873245078423059755094543611238015702940394212433220595028784125949841
skew: 0.79
type: snfs
c0: 31
c5: 100
Y0: 200000000000000000000000000000000000000
Y1: -1
# f(x) = 100*x^5+31
# g(x) = -x+200000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11800000
tasks.lim1 = 11800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2695159260103282158257538851694365768306989447206234736880541992583299759258706476287169619509 2940337569525352833081344456795152650732102724257915499075127149
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.97/2.05329
Info:Generate Free Relations: Total cpu/real time for freerel: 102.36/26.389
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27908403
Info:Lattice Sieving: Average J: 1893.8 for 2648826 special-q, max bucket fill -bkmult 1.0,1s:1.130590
Info:Lattice Sieving: Total time: 774997s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 51.88/140.275
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 139.20000000000002s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 469.15/473.053
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 412.3999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 396.09/466.017
Info:Filtering - Merging: Merged matrix has 2315487 rows and total weight 397820636 (171.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 333.93/95.8731
Info:Filtering - Merging: Total cpu/real time for replay: 88.46/77.1362
Info:Linear Algebra: Total cpu/real time for bwc: 95393.1/24393
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 15363.49, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (72704 iterations)
Info:Linear Algebra: Lingen CPU time 461.25, WCT time 133.97
Info:Linear Algebra: Mksol: WCT time 8666.97, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36352 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 81/32.8198
Info:Square Root: Total cpu/real time for sqrt: 630.57/201.395
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.52706e+06/73846.3
Info:root: Cleaning up computation data in /tmp/cado.aaf866a3
2695159260103282158257538851694365768306989447206234736880541992583299759258706476287169619509 2940337569525352833081344456795152650732102724257915499075127149

cado-nfs-3.0.0

6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

11851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851853<197>

3559279910565634648793619648390695211930101119007<49>
3329845404029596513584266686001452221852005046336820091842356487673056284411726044805774754469766724250478115806325903135290063433358994107001192979<148>

Number: n
N=11851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851853
  ( 197 digits)
SNFS difficulty: 197 digits.
Divisors found:

Thu Feb 12 05:19:50 2009  prp49 factor: 3559279910565634648793619648390695211930101119007
Thu Feb 12 05:19:50 2009  prp148 factor: 3329845404029596513584266686001452221852005046336820091842356487673056284411726044805774754469766724250478115806325903135290063433358994107001192979
Thu Feb 12 05:19:50 2009  elapsed time 10:06:12 (Msieve 1.39 - dependency 9)

Version: GGNFS-0.77.1-20050930-k8
Total time: 40.90 hours.
Scaled time: 82.20 units (timescale=2.010).
Factorization parameters were as follows:
name: KA_3_5_195_9
n: 11851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851853
deg: 5
c5: 10
c0: 31
m: 2000000000000000000000000000000000000000
skew: 1.25
type: snfs
rlim: 10000000
alim: 10000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 14052713)
Primes: RFBsize:664579, AFBsize:664406, largePrimes:37099223 encountered
Relations: rels:33783957, finalFF:423024
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5477645 hash collisions in 39908701 relations
Msieve: matrix is 2271192 x 2271440 (617.6 MB)

Total sieving time: 40.07 hours.
Total relation processing time: 0.82 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,10000000,10000000,29,29,58,58,2.5,2.5,100000
total time: 40.90 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: 3321556k/3407296k available (2912k kernel code, 84428k reserved, 1794k data, 1544k init, 2502088k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.96 BogoMIPS (lpj=2830483)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Total of 4 processors activated (22643.68 BogoMIPS).

3762067008168151022194894699568610957949422333451098339015967662036116574623325907567636778618002294790748882627079705936414468547083719595280475150096096505948360095327235790584417<181>

16023164535905655885865858059950770799038865311801896837755750887<65>
234789263989512714775644644813259609894222599623654740524770063751948145217376256710840187660794846641629266801795191<117>

Number: n
N=3762067008168151022194894699568610957949422333451098339015967662036116574623325907567636778618002294790748882627079705936414468547083719595280475150096096505948360095327235790584417  ( 181 digits)
SNFS difficulty: 198 digits.
Divisors found:

Sat Mar 13 02:17:29 2021  p65 factor: 16023164535905655885865858059950770799038865311801896837755750887
Sat Mar 13 02:17:29 2021  p117 factor: 234789263989512714775644644813259609894222599623654740524770063751948145217376256710840187660794846641629266801795191
Sat Mar 13 02:17:29 2021  elapsed time 01:10:34 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 32x10^197+31 = 35(196)9
#
n: 3762067008168151022194894699568610957949422333451098339015967662036116574623325907567636778618002294790748882627079705936414468547083719595280475150096096505948360095327235790584417
m: 2000000000000000000000000000000000000000
deg: 5
c5: 100
c0: 31
skew: 0.79
# Murphy_E = 1.852e-11
type: snfs
lss: 1
rlim: 14200000
alim: 14200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14200000/14200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4460372 hash collisions in 31775800 relations (28972407 unique)
Msieve: matrix is 1690833 x 1691059 (586.5 MB)

Sieving start time : 2021/03/12 19:13:00
Sieving end time  : 2021/03/13 01:06:20

Total sieving time: 5hrs 53min 20secs.

Total relation processing time: 0hrs 56min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 7sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14200000,14200000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116745] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.152613] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.17 BogoMIPS (lpj=12798352)
[    0.150217] smpboot: Total of 16 processors activated (102386.81 BogoMIPS)

61513408440633233769175804193334658560096768726010248266057747175804461944490280204402710448117739539784026947020730750156179693749318863385957015427387083491430071311470379982032604544223<188>

6817234265470326924794321303186340861400409928218522538288151137449958454258919855873141941<91>
9023220567936485631056330958966778526643946959030651437363067930408912548379760059652609408062403<97>

N=61513408440633233769175804193334658560096768726010248266057747175804461944490280204402710448117739539784026947020730750156179693749318863385957015427387083491430071311470379982032604544223
  ( 188 digits)
SNFS difficulty: 199 digits.
Divisors found:
 r1=6817234265470326924794321303186340861400409928218522538288151137449958454258919855873141941 (pp91)
 r2=9023220567936485631056330958966778526643946959030651437363067930408912548379760059652609408062403 (pp97)
Version: Msieve v. 1.49
Total time:
Scaled time: 75.83 units (timescale=0.620).
Factorization parameters were as follows:
n: 61513408440633233769175804193334658560096768726010248266057747175804461944490280204402710448117739539784026947020730750156179693749318863385957015427387083491430071311470379982032604544223
m: 2000000000000000000000000000000000000000
deg: 5
c5: 1000
c0: 31
skew: 0.50
type: snfs
lss: 1
rlim: 14800000
alim: 14800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 14800000/14800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [7400000, 17000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2740473 x 2740688
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,199.000,5,0,0,0,0,0,0,0,0,14800000,14800000,28,28,55,55,2.5,2.5,100000
total time:

262362872783082129449215695221492353124946646982395472933971735011442475223966634591618606688335708464841641830246220932709826554658566592487236871489517442043<159>

4028141074602949806622803794063<31>
65132493605364354978645976959047691248910542452002211669809096765307018582702503470064768992992787394098368670588376753466133461<128>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=251454589
Step 1 took 24715ms
Step 2 took 16344ms
********** Factor found in step 2: 4028141074602949806622803794063
Found probable prime factor of 31 digits: 4028141074602949806622803794063
Probable prime cofactor 65132493605364354978645976959047691248910542452002211669809096765307018582702503470064768992992787394098368670588376753466133461 has 128 digits

GMP-ECM 6.2.1

93735017419142966973418910827540052335169071751101068756063586576694870373675439538516057281829793306137353702753804511235129116730763041310762461527254640102785353811<167>

466182519781633765887136567956083<33>
201069352542540042650344508717518021638710606851507419933772379949081681365191326619697562625614660401936804153516374403184966817798817<135>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=430933424
Step 1 took 20917ms
Step 2 took 13093ms
********** Factor found in step 2: 466182519781633765887136567956083
Found probable prime factor of 33 digits: 466182519781633765887136567956083
Probable prime cofactor 201069352542540042650344508717518021638710606851507419933772379949081681365191326619697562625614660401936804153516374403184966817798817 has 135 digits

GMP-ECM 6.2.1

641584936910875019843946417625785472163173501439221074311886285901208163161274434285895311195609892354259754638684606891633239986193581366192364115160904101836536300471030668822809886877369940699<195>

75515528207840371558128599212706993129888517540935949495281000330280301404998673562595377<89>
8496066334132622845136095988125042896912868615713587438353415741377679607596097755183765491814729778627787<106>

Number: n
N=641584936910875019843946417625785472163173501439221074311886285901208163161274434285895311195609892354259754638684606891633239986193581366192364115160904101836536300471030668822809886877369940699
  ( 195 digits)
SNFS difficulty: 204 digits.
Divisors found:

Sat Feb  5 18:22:59 2011  prp89 factor: 75515528207840371558128599212706993129888517540935949495281000330280301404998673562595377
Sat Feb  5 18:22:59 2011  prp106 factor: 8496066334132622845136095988125042896912868615713587438353415741377679607596097755183765491814729778627787
Sat Feb  5 18:22:59 2011  elapsed time 08:08:40 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
name: KA_3_5_202_9
n: 641584936910875019843946417625785472163173501439221074311886285901208163161274434285895311195609892354259754638684606891633239986193581366192364115160904101836536300471030668822809886877369940699
m: 20000000000000000000000000000000000000000
#  Diff: 204.51
deg: 5
c5: 1000
c0: 31
skew: 0.50
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 27300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5944347 hash collisions in 32273509 relations
Msieve: matrix is 2324118 x 2324343 (659.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,13000000,13000000,28,28,56,56,2.6,2.6,100000
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.. 5661.85 BogoMIPS (lpj=2830925)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Total of 4 processors activated (22644.58 BogoMIPS).

507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507937<204>

14637538698830902307625620189239<32>
34700950643913702365065874534902278676298261512243498500603317994747009402362554449670858232087763450045141503365706972462373562457470861965763765551899124491831749801274983<173>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3260985831
Step 1 took 27673ms
Step 2 took 17877ms
********** Factor found in step 2: 14637538698830902307625620189239
Found probable prime factor of 32 digits: 14637538698830902307625620189239
Probable prime cofactor 34700950643913702365065874534902278676298261512243498500603317994747009402362554449670858232087763450045141503365706972462373562457470861965763765551899124491831749801274983 has 173 digits

GMP-ECM 6.2.1

1829031717446127362443109129193503831946930988401853595145718284750071386979220543265458431348526268917440532529962509763018688226149823917<139>

2137904009065149316737225527536795832643943651444832253170621<61>
855525650211917653446260079595750310184708681945384571593189452032634745344177<78>

Number: 35559_205
N = 1829031717446127362443109129193503831946930988401853595145718284750071386979220543265458431348526268917440532529962509763018688226149823917 (139 digits)
Divisors found:
r1=2137904009065149316737225527536795832643943651444832253170621 (pp61)
r2=855525650211917653446260079595750310184708681945384571593189452032634745344177 (pp78)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 275.22 hours.
Factorization parameters were as follows:
# Murphy_E = 3.052e-11, selected by Erik Branger
n: 1829031717446127362443109129193503831946930988401853595145718284750071386979220543265458431348526268917440532529962509763018688226149823917
Y0: -763365677324689225975332382
Y1: 63043793734093
c0: -121911499690608868342662820500799845
c1: 613000479067610086947977176843
c2: 862513571763746925914531
c3: -261418421817492011
c4: -94685201454
c5: 7056
skew: 2860382.98
type: gnfs
# selected mechanically
rlim: 16400000
alim: 16400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16400000/16400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [8200000, 19800000)
Relations: 23140526
Relations in full relation-set: 3698782 relations
Pruned matrix : 2290633 x 2290860
Polynomial selection time: 0.00 hours.
Total sieving time: 269.87 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 4.90 hours.
time per square root: 0.33 hours.
Prototype def-par.txt line would be: gnfs,138,5,65,2000,1e-05,0.28,250,20,50000,3600,16400000,16400000,28,28,55,55,2.6,2.6,100000
total time: 275.22 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

16023976538440650519675297043876049392610878172254625460666071041188924035375571837024225550667305626544240501637754713343209137527420944516777340562280505605001421892616454746223098981897170051<194>

2984159620970238855218515320649009466131<40>
5369678091559586278172540233993618698385370490674566926697846023069154242253473517949532708067405748335601066719619562877552719793680365954713276601882321<154>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1498031173
Step 1 took 11981ms
Step 2 took 6864ms
********** Factor found in step 2: 2984159620970238855218515320649009466131
Found probable prime factor of 40 digits: 2984159620970238855218515320649009466131
Probable prime cofactor 5369678091559586278172540233993618698385370490674566926697846023069154242253473517949532708067405748335601066719619562877552719793680365954713276601882321 has 154 digits

GMP-ECM 6.3

355555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<210>

1617580237363009331603070185376311119<37>

219807059546662563353192927889449866796552989882918016856260566003138789954256880339193553361194716887928184787225641569418808563289981449770790518905226606257277305082326761<174>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1789432009
Step 1 took 11949ms
********** Factor found in step 1: 1617580237363009331603070185376311119
Found probable prime factor of 37 digits: 1617580237363009331603070185376311119
Composite cofactor 219807059546662563353192927889449866796552989882918016856260566003138789954256880339193553361194716887928184787225641569418808563289981449770790518905226606257277305082326761 has 174 digits

GMP-ECM 6.3

3453834258811345179376790003222167001117605518820056996306364354219066291528800574643746695361684288799329209045789220207107887773773126611087565701825358754918944402278605323715741160125359856069<196>

100255284768335598395856003247803669009819667060152372770351563907360317259552186221787531285443309323241409948128792825809850448087897786482210527405812722933522627907667671639<177>

7027677829881411511072566639319<31>
14265777002761003819947329603834415991685102612887574903011203460026541982056809130482699217048475403160720536827762932340271578399916989034417281<146>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3343749709
Step 1 took 9984ms
Step 2 took 6099ms
********** Factor found in step 2: 7027677829881411511072566639319
Found probable prime factor of 31 digits: 7027677829881411511072566639319
Probable prime cofactor 14265777002761003819947329603834415991685102612887574903011203460026541982056809130482699217048475403160720536827762932340271578399916989034417281 has 146 digits

GMP-ECM 6.3

86026345893710692069485801273641762786505616225515858439916246303882896432355796378520125769165747404727254627542319708510519747890302681439337018153649205110224060233845015497857473479221457617870753<200>

1438425968998490394813626868542315494480814050487311<52>
26014446175181602960131527814457038520342678647938115211<56>
2298949207965070419446324664032478236456211047343242400955564312170499400710238941277689382093<94>

Number: n
N=86026345893710692069485801273641762786505616225515858439916246303882896432355796378520125769165747404727254627542319708510519747890302681439337018153649205110224060233845015497857473479221457617870753  ( 200 digits)
SNFS difficulty: 216 digits.
Divisors found:

Sun Oct 25 08:14:19 2020  found factor: 26014446175181602960131527814457038520342678647938115211
Sun Oct 25 08:34:54 2020  p52 factor: 1438425968998490394813626868542315494480814050487311
Sun Oct 25 08:34:54 2020  p56 factor: 26014446175181602960131527814457038520342678647938115211
Sun Oct 25 08:34:54 2020  p94 factor: 2298949207965070419446324664032478236456211047343242400955564312170499400710238941277689382093
Sun Oct 25 08:34:54 2020  elapsed time 04:55:35 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 32x10^214+31 = 35(213)9
#
n: 86026345893710692069485801273641762786505616225515858439916246303882896432355796378520125769165747404727254627542319708510519747890302681439337018153649205110224060233845015497857473479221457617870753
m: 1000000000000000000000000000000000000
deg: 6
c6: 8
c0: 775
skew: 2.14
# Murphy_E = 3.938e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 29000000/29000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 56200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10456272 hash collisions in 64455536 relations (55397259 unique)
Msieve: matrix is 3308328 x 3308552 (1166.7 MB)

Sieving start time: 2020/10/24 07:17:55
Sieving end time  : 2020/10/25 03:21:48

Total sieving time: 20hrs 3min 53secs.

Total relation processing time: 4hrs 10min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 25min 42sec.

Prototype def-par.txt line would be:
snfs,216,6,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117041] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16242464K/16727236K available (14339K kernel code, 2398K rwdata, 4956K rodata, 2716K init, 4988K bss, 484772K reserved, 0K cma-reserved)
[    0.153518] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.08 BogoMIPS (lpj=12798176)
[    0.152035] smpboot: Total of 16 processors activated (102385.40 BogoMIPS)

21914470931146614023290331043266940575399496089533382420586536958246799215288697315394246065302406713245523829511138424907707779699851447772112431614874562004995451530050348255849<179>

307612078466310651804682598225981962682375151393810037095216515218468433413436217590113344315209618856118345890548844710658615169019688131194920103336092368076707934117389<171>

30284273545603629198188845980617491<35>
10157485798795617000702963707285806385947323773610085470712446812420348352210954369501701317800911940647302489901674483077332793710851679<137>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2908556731
Step 1 took 7566ms
Step 2 took 5694ms
********** Factor found in step 2: 30284273545603629198188845980617491
Found probable prime factor of 35 digits: 30284273545603629198188845980617491
Probable prime cofactor 10157485798795617000702963707285806385947323773610085470712446812420348352210954369501701317800911940647302489901674483077332793710851679 has 137 digits

GMP-ECM 6.3

158475210233790238748424447856346804814199979359677337153222986786552278161409489334611441684899948640822641008228329247584761538034480633777280450744666097255810001128381531799938645671<186>

541262833849224471845875408061433331641886977554506858814972683141354171952436528475499399536543698516601545981969181847397709781634275468953502139679640060215490265726222492853639146834458145159926252938888043165711<216>

2678231384058097319008851312663893127774797368143782189<55>
202097114189250786306241811261009104220367234354853280294575490171329458727478028941044685213223055958621659936481152535686481235789046543338685637360036896861099<162>

Number: n
N=541262833849224471845875408061433331641886977554506858814972683141354171952436528475499399536543698516601545981969181847397709781634275468953502139679640060215490265726222492853639146834458145159926252938888043165711
  ( 216 digits)
SNFS difficulty: 220 digits.
Divisors found:

Tue Apr 10 18:54:20 2018  p55 factor: 2678231384058097319008851312663893127774797368143782189
Tue Apr 10 18:54:20 2018  p162 factor: 202097114189250786306241811261009104220367234354853280294575490171329458727478028941044685213223055958621659936481152535686481235789046543338685637360036896861099
Tue Apr 10 18:54:20 2018  elapsed time 11:44:49 (Msieve 1.53 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.112).
Factorization parameters were as follows:
#
# 32x10^219+31 35(218)9
#
n: 541262833849224471845875408061433331641886977554506858814972683141354171952436528475499399536543698516601545981969181847397709781634275468953502139679640060215490265726222492853639146834458145159926252938888043165711
m: 2000000000000000000000000000000000000
deg: 6
c6: 500
c0: 31
skew: 0.63
# Murphy_E = 1.708e-12
type: snfs
lss: 1
rlim: 33000000
alim: 33000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 33000000/33000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 103700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14626234 hash collisions in 67585411 relations (54111267 unique)
Msieve: matrix is 5268069 x 5268294 (1499.0 MB)

Sieving start time: 2018/04/07 13:25:03
Sieving end time  : 2018/04/10 07:07:25

Total sieving time: 65hrs 42min 22secs.

Total relation processing time: 11hrs 13min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 6sec.

Prototype def-par.txt line would be:
snfs,220,6,0,0,0,0,0,0,0,0,33000000,33000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.064000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16292592K/16703460K available (12300K kernel code, 2482K rwdata, 4000K rodata, 2372K init, 2368K bss, 410868K reserved, 0K cma-reserved)
[    0.096647] x86/mm: Memory block size: 128MB
[    0.004000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.84 BogoMIPS (lpj=11977684)
[    0.094230] smpboot: Total of 16 processors activated (95821.47 BogoMIPS)

355555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<222>

148235192603244369952072850943517615999<39>

2398590707857141070936637331020701556002357558847137105495949003039134162174708163539004789555765778054677964118493046219463528961037313695627592018376769430398223038032756105313100441<184>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4105062063
Step 1 took 13759ms
Step 2 took 8018ms
********** Factor found in step 2: 148235192603244369952072850943517615999
Found probable prime factor of 39 digits: 148235192603244369952072850943517615999
Composite cofactor 2398590707857141070936637331020701556002357558847137105495949003039134162174708163539004789555765778054677964118493046219463528961037313695627592018376769430398223038032756105313100441 has 184 digits

GMP-ECM 6.3

2398590707857141070936637331020701556002357558847137105495949003039134162174708163539004789555765778054677964118493046219463528961037313695627592018376769430398223038032756105313100441<184>

53677686522666826073059367777685625017332315670931489068138927941<65>
44685061209638246246580604015431096947315409777801553477206203608753151193655459972473661796694234874696356256825522501<119>

Number: 35559_221
N = 2398590707857141070936637331020701556002357558847137105495949003039134162174708163539004789555765778054677964118493046219463528961037313695627592018376769430398223038032756105313100441 (184 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=53677686522666826073059367777685625017332315670931489068138927941 (pp65)
r2=44685061209638246246580604015431096947315409777801553477206203608753151193655459972473661796694234874696356256825522501 (pp119)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 86.60 hours.
Factorization parameters were as follows:
n: 2398590707857141070936637331020701556002357558847137105495949003039134162174708163539004789555765778054677964118493046219463528961037313695627592018376769430398223038032756105313100441
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 320
c0: 31
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8212194 relations
Pruned matrix : 7050918 x 7051144
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 38.55 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 47.13 hours.
time per square root: 0.51 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 86.60 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

8644654256994070414057380432578595100390009820008385100024865209034997682750424671486128429801121954159358232026887721613339772957257482156439238382728569469498875558139462753653<178>

909031517830643597562778009041447978483055883891323141660208164864469286268726357<81>
9509740957743784116812954799562416770970166683693779335497388090958795377417177952163244216224929<97>

Number: 35559_222
N = 8644654256994070414057380432578595100390009820008385100024865209034997682750424671486128429801121954159358232026887721613339772957257482156439238382728569469498875558139462753653 (178 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=909031517830643597562778009041447978483055883891323141660208164864469286268726357 (pp81)
r2=9509740957743784116812954799562416770970166683693779335497388090958795377417177952163244216224929 (pp97)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 79.02 hours.
Factorization parameters were as follows:
n: 8644654256994070414057380432578595100390009820008385100024865209034997682750424671486128429801121954159358232026887721613339772957257482156439238382728569469498875558139462753653
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 3200
c0: 31
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 35727878
Relations: 9807160 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 32.35 hours.
Total relation processing time: 0.45 hours.
Pruned matrix : 8324788 x 8325013
Matrix solve time: 45.97 hours.
time per square root: 0.26 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 79.02 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

2314446972086697958137961899677235943055217305606149154175522429435667306320985767924842220698597442889047590049187380937261853363572772110579335769277586089864822378731009989179914734146989577<193>

274536144011187229593175174463489165544692394930261232864153723578942317869511999335390507539452515283691736858220336830313242748140042249046439838392844631584113166773833402449493<180>

105633642577222359840351629003<30>
2598946105739849671567009997503623591576964574183631410885215638366828002315876267343584415343846401809308304800707873375087253933435136549344344916831<151>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2696666257
Step 1 took 10140ms
Step 2 took 6396ms
********** Factor found in step 2: 105633642577222359840351629003
Found probable prime factor of 30 digits: 105633642577222359840351629003
Probable prime cofactor 2598946105739849671567009997503623591576964574183631410885215638366828002315876267343584415343846401809308304800707873375087253933435136549344344916831 has 151 digits

GMP-ECM 6.3

76321574493792716162267653507661548747968136078977205501834563745618050956638898699741806265607288061634957673557098973350124337547670299415611995224310275947640788621002355997<176>

23808791847165827513065855936843743775128039889310586986550100725983377081245383356752346565061532427980379091973309661657053346977738873011988021864789712263035001802413061067746101791270337<191>

561725741758895896350828197817813946726080684670072516588959737758218570606207518299393195965490830607407786799735209596010374247163785531551278107038396940679634797376674685541236145445787115877312380078062901113033567<219>

3287088205495260460886418570903407386953574386052924009715475042873470961506602264601358276182062296916964625643014013436629520866583219229958786799808404277263531814688181318153488700713163131936958694761<205>

750849085616470382696943243405086742973<39>

4377828072862949701040355451568978191920285121797786792732650081503348998423116591117692817634980534506824362881113623083490454603808394949075170984049294864341776157<166>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3542043555
Step 1 took 12028ms
Step 2 took 7223ms
********** Factor found in step 2: 750849085616470382696943243405086742973
Found probable prime factor of 39 digits: 750849085616470382696943243405086742973
Composite cofactor 4377828072862949701040355451568978191920285121797786792732650081503348998423116591117692817634980534506824362881113623083490454603808394949075170984049294864341776157 has 166 digits

GMP-ECM 6.3

634650476617775612147026204794065042602278683849709823360506702077864499207067154059288241661807996838495331376792905104570226489709755002419689289236058900091467972917419840645875246052829259379316770914227167611881032099<222>

303802484037665596595402053229266646067938670717257353819073472574964965509691014254520361196859227306601111579789811073187964424560615351622897651525795168266370002085285157688698195467241241<192>

1180071541837223881697827930818305859792749935464837555776818969650035033373898292583987904266696168455212597263709112364937124313161485415053287605561087140907917542501014123981266364273334070878046981598259394475790094774495703802043<235>

395592522940710743192969146473106391705034931215044914434494070308149717293110454659989761448137185744887841805106757849156468056258171578455059734843332198599727686605978101568825685642877656949401269023411779503448306146992177<228>

355555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<243>

32254288410431205603462454084639<32>
11023512626636246883522887504782241573644339168401152679931231327104132303406443329841524738521420557191747377938513782104481496485443568616431107038363175696075428716801219081951840077759743818425236813480948281<212>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2643143347
Step 1 took 13042ms
Step 2 took 7254ms
********** Factor found in step 2: 32254288410431205603462454084639
Found probable prime factor of 32 digits: 32254288410431205603462454084639
Probable prime cofactor 11023512626636246883522887504782241573644339168401152679931231327104132303406443329841524738521420557191747377938513782104481496485443568616431107038363175696075428716801219081951840077759743818425236813480948281 has 212 digits

GMP-ECM 6.3

904313991721053263974224701157663436170356239973325859275767147648121980850802047858437150823452700931460234447643364078686665167237233725253853094487017450263907984687592538706384785503537949<192>

2192387887142413614839599403032555899051782962060211962063475277101753373624763093931859279831702964041399787712910423638416095720013904961141030345297600935591752822474805125293828628205520223273931881749831587034822761213<223>

7644492144653513321001290747225862048385879902025017489377414781401034350484292072065143384074684075318262818974861371935986235511600917097831806330133739342541415716469099181281500847795469122977575590296683948079145760551528778792637<235>