509225906291430287531211482278866257672652842930993643159194275834613445437410934426824453411<93>

586131916604674594186662435865517<33>
868790611576412906071918691609898995245693401683366767021583<60>

Sat Mar 14 14:24:25 2009  Msieve v. 1.39
Sat Mar 14 14:24:25 2009  random seeds: e23c4660 a3ab0f61
Sat Mar 14 14:24:25 2009  factoring 509225906291430287531211482278866257672652842930993643159194275834613445437410934426824453411 (93 digits)
Sat Mar 14 14:24:26 2009  searching for 15-digit factors
Sat Mar 14 14:24:27 2009  commencing quadratic sieve (93-digit input)
Sat Mar 14 14:24:28 2009  using multiplier of 1
Sat Mar 14 14:24:28 2009  using 32kb Intel Core sieve core
Sat Mar 14 14:24:28 2009  sieve interval: 36 blocks of size 32768
Sat Mar 14 14:24:28 2009  processing polynomials in batches of 6
Sat Mar 14 14:24:28 2009  using a sieve bound of 1923133 (71628 primes)
Sat Mar 14 14:24:28 2009  using large prime bound of 232699093 (27 bits)
Sat Mar 14 14:24:28 2009  using double large prime bound of 1148762820023984 (42-51 bits)
Sat Mar 14 14:24:28 2009  using trial factoring cutoff of 51 bits
Sat Mar 14 14:24:28 2009  polynomial 'A' values have 12 factors
Sat Mar 14 17:06:34 2009  71866 relations (17567 full + 54299 combined from 972710 partial), need 71724
Sat Mar 14 17:06:35 2009  begin with 990277 relations
Sat Mar 14 17:06:36 2009  reduce to 186074 relations in 11 passes
Sat Mar 14 17:06:36 2009  attempting to read 186074 relations
Sat Mar 14 17:06:39 2009  recovered 186074 relations
Sat Mar 14 17:06:39 2009  recovered 168654 polynomials
Sat Mar 14 17:06:39 2009  attempting to build 71866 cycles
Sat Mar 14 17:06:39 2009  found 71866 cycles in 6 passes
Sat Mar 14 17:06:39 2009  distribution of cycle lengths:
Sat Mar 14 17:06:39 2009     length 1 : 17567
Sat Mar 14 17:06:39 2009     length 2 : 12827
Sat Mar 14 17:06:39 2009     length 3 : 12187
Sat Mar 14 17:06:39 2009     length 4 : 9710
Sat Mar 14 17:06:39 2009     length 5 : 7313
Sat Mar 14 17:06:39 2009     length 6 : 4822
Sat Mar 14 17:06:39 2009     length 7 : 3160
Sat Mar 14 17:06:39 2009     length 9+: 4280
Sat Mar 14 17:06:39 2009  largest cycle: 19 relations
Sat Mar 14 17:06:40 2009  matrix is 71628 x 71866 (17.9 MB) with weight 4415802 (61.44/col)
Sat Mar 14 17:06:40 2009  sparse part has weight 4415802 (61.44/col)
Sat Mar 14 17:06:41 2009  filtering completed in 3 passes
Sat Mar 14 17:06:41 2009  matrix is 68211 x 68275 (17.1 MB) with weight 4214479 (61.73/col)
Sat Mar 14 17:06:41 2009  sparse part has weight 4214479 (61.73/col)
Sat Mar 14 17:06:41 2009  saving the first 48 matrix rows for later
Sat Mar 14 17:06:41 2009  matrix is 68163 x 68275 (9.7 MB) with weight 3197837 (46.84/col)
Sat Mar 14 17:06:41 2009  sparse part has weight 2134685 (31.27/col)
Sat Mar 14 17:06:41 2009  matrix includes 64 packed rows
Sat Mar 14 17:06:41 2009  using block size 27310 for processor cache size 1024 kB
Sat Mar 14 17:06:41 2009  commencing Lanczos iteration
Sat Mar 14 17:06:41 2009  memory use: 10.1 MB
Sat Mar 14 17:07:09 2009  lanczos halted after 1080 iterations (dim = 68162)
Sat Mar 14 17:07:09 2009  recovered 17 nontrivial dependencies
Sat Mar 14 17:07:10 2009  prp33 factor: 586131916604674594186662435865517
Sat Mar 14 17:07:10 2009  prp60 factor: 868790611576412906071918691609898995245693401683366767021583
Sat Mar 14 17:07:10 2009  elapsed time 02:42:45

9469804068657919367648212382115094366701990833108454850429643038325714139839345127949787811961<94>

99354390761686984015872318744119<32>
95313392755558649228750245113021824453060736428646393675802319<62>

Sat Mar 14 17:15:47 2009  Msieve v. 1.39
Sat Mar 14 17:15:47 2009  random seeds: 99cf8800 54b6b3f0
Sat Mar 14 17:15:47 2009  factoring 9469804068657919367648212382115094366701990833108454850429643038325714139839345127949787811961 (94 digits)
Sat Mar 14 17:15:48 2009  searching for 15-digit factors
Sat Mar 14 17:15:49 2009  commencing quadratic sieve (94-digit input)
Sat Mar 14 17:15:49 2009  using multiplier of 1
Sat Mar 14 17:15:49 2009  using 32kb Intel Core sieve core
Sat Mar 14 17:15:49 2009  sieve interval: 36 blocks of size 32768
Sat Mar 14 17:15:49 2009  processing polynomials in batches of 6
Sat Mar 14 17:15:49 2009  using a sieve bound of 2092589 (77647 primes)
Sat Mar 14 17:15:49 2009  using large prime bound of 297147638 (28 bits)
Sat Mar 14 17:15:49 2009  using double large prime bound of 1783816197254578 (42-51 bits)
Sat Mar 14 17:15:49 2009  using trial factoring cutoff of 51 bits
Sat Mar 14 17:15:49 2009  polynomial 'A' values have 12 factors
Sat Mar 14 20:51:17 2009  77940 relations (18705 full + 59235 combined from 1144313 partial), need 77743
Sat Mar 14 20:51:19 2009  begin with 1163018 relations
Sat Mar 14 20:51:20 2009  reduce to 204434 relations in 11 passes
Sat Mar 14 20:51:20 2009  attempting to read 204434 relations
Sat Mar 14 20:51:23 2009  recovered 204434 relations
Sat Mar 14 20:51:23 2009  recovered 188189 polynomials
Sat Mar 14 20:51:23 2009  attempting to build 77940 cycles
Sat Mar 14 20:51:23 2009  found 77940 cycles in 6 passes
Sat Mar 14 20:51:23 2009  distribution of cycle lengths:
Sat Mar 14 20:51:23 2009     length 1 : 18705
Sat Mar 14 20:51:23 2009     length 2 : 13510
Sat Mar 14 20:51:23 2009     length 3 : 13074
Sat Mar 14 20:51:23 2009     length 4 : 10635
Sat Mar 14 20:51:23 2009     length 5 : 8000
Sat Mar 14 20:51:23 2009     length 6 : 5524
Sat Mar 14 20:51:24 2009     length 7 : 3607
Sat Mar 14 20:51:24 2009     length 9+: 4885
Sat Mar 14 20:51:24 2009  largest cycle: 20 relations
Sat Mar 14 20:51:24 2009  matrix is 77647 x 77940 (20.2 MB) with weight 4978462 (63.88/col)
Sat Mar 14 20:51:24 2009  sparse part has weight 4978462 (63.88/col)
Sat Mar 14 20:51:25 2009  filtering completed in 3 passes
Sat Mar 14 20:51:25 2009  matrix is 74172 x 74236 (19.3 MB) with weight 4757980 (64.09/col)
Sat Mar 14 20:51:25 2009  sparse part has weight 4757980 (64.09/col)
Sat Mar 14 20:51:25 2009  saving the first 48 matrix rows for later
Sat Mar 14 20:51:25 2009  matrix is 74124 x 74236 (12.0 MB) with weight 3724349 (50.17/col)
Sat Mar 14 20:51:25 2009  sparse part has weight 2705848 (36.45/col)
Sat Mar 14 20:51:25 2009  matrix includes 64 packed rows
Sat Mar 14 20:51:25 2009  using block size 29694 for processor cache size 1024 kB
Sat Mar 14 20:51:26 2009  commencing Lanczos iteration
Sat Mar 14 20:51:26 2009  memory use: 11.8 MB
Sat Mar 14 20:52:02 2009  lanczos halted after 1173 iterations (dim = 74120)
Sat Mar 14 20:52:02 2009  recovered 14 nontrivial dependencies
Sat Mar 14 20:52:03 2009  prp32 factor: 99354390761686984015872318744119
Sat Mar 14 20:52:03 2009  prp62 factor: 95313392755558649228750245113021824453060736428646393675802319
Sat Mar 14 20:52:03 2009  elapsed time 03:36:16

5083368412676168189528847700401902044764602883805115375607617419999378580510744455954739057044321489<100>

39630807092145422370870826294127675253372111261851<50>
128268102157416318560550976482838943377755476654339<51>

Sun Mar 15 20:54:05 2009  Msieve v. 1.39
Sun Mar 15 20:54:05 2009  random seeds: 4ac18da0 1b5e6302
Sun Mar 15 20:54:05 2009  factoring 5083368412676168189528847700401902044764602883805115375607617419999378580510744455954739057044321489 (100 digits)
Sun Mar 15 20:54:06 2009  searching for 15-digit factors
Sun Mar 15 20:54:07 2009  commencing quadratic sieve (100-digit input)
Sun Mar 15 20:54:08 2009  using multiplier of 1
Sun Mar 15 20:54:08 2009  using 32kb Intel Core sieve core
Sun Mar 15 20:54:08 2009  sieve interval: 36 blocks of size 32768
Sun Mar 15 20:54:08 2009  processing polynomials in batches of 6
Sun Mar 15 20:54:08 2009  using a sieve bound of 2751557 (99748 primes)
Sun Mar 15 20:54:08 2009  using large prime bound of 412733550 (28 bits)
Sun Mar 15 20:54:08 2009  using double large prime bound of 3222593841584400 (43-52 bits)
Sun Mar 15 20:54:08 2009  using trial factoring cutoff of 52 bits
Sun Mar 15 20:54:08 2009  polynomial 'A' values have 13 factors
Mon Mar 16 04:22:33 2009  100300 relations (24922 full + 75378 combined from 1480412 partial), need 99844
Mon Mar 16 04:22:34 2009  begin with 1505334 relations
Mon Mar 16 04:22:36 2009  reduce to 258872 relations in 11 passes
Mon Mar 16 04:22:36 2009  attempting to read 258872 relations
Mon Mar 16 04:22:40 2009  recovered 258872 relations
Mon Mar 16 04:22:40 2009  recovered 245085 polynomials
Mon Mar 16 04:22:41 2009  attempting to build 100300 cycles
Mon Mar 16 04:22:41 2009  found 100300 cycles in 7 passes
Mon Mar 16 04:22:41 2009  distribution of cycle lengths:
Mon Mar 16 04:22:41 2009     length 1 : 24922
Mon Mar 16 04:22:41 2009     length 2 : 17935
Mon Mar 16 04:22:41 2009     length 3 : 16953
Mon Mar 16 04:22:41 2009     length 4 : 13617
Mon Mar 16 04:22:41 2009     length 5 : 10084
Mon Mar 16 04:22:41 2009     length 6 : 6762
Mon Mar 16 04:22:41 2009     length 7 : 4343
Mon Mar 16 04:22:41 2009     length 9+: 5684
Mon Mar 16 04:22:41 2009  largest cycle: 21 relations
Mon Mar 16 04:22:41 2009  matrix is 99748 x 100300 (26.1 MB) with weight 6448649 (64.29/col)
Mon Mar 16 04:22:41 2009  sparse part has weight 6448649 (64.29/col)
Mon Mar 16 04:22:43 2009  filtering completed in 3 passes
Mon Mar 16 04:22:43 2009  matrix is 94724 x 94788 (24.7 MB) with weight 6106123 (64.42/col)
Mon Mar 16 04:22:43 2009  sparse part has weight 6106123 (64.42/col)
Mon Mar 16 04:22:43 2009  saving the first 48 matrix rows for later
Mon Mar 16 04:22:43 2009  matrix is 94676 x 94788 (14.0 MB) with weight 4666638 (49.23/col)
Mon Mar 16 04:22:43 2009  sparse part has weight 3103290 (32.74/col)
Mon Mar 16 04:22:43 2009  matrix includes 64 packed rows
Mon Mar 16 04:22:43 2009  using block size 37915 for processor cache size 1024 kB
Mon Mar 16 04:22:44 2009  commencing Lanczos iteration
Mon Mar 16 04:22:44 2009  memory use: 14.4 MB
Mon Mar 16 04:23:41 2009  lanczos halted after 1498 iterations (dim = 94675)
Mon Mar 16 04:23:42 2009  recovered 16 nontrivial dependencies
Mon Mar 16 04:23:42 2009  prp50 factor: 39630807092145422370870826294127675253372111261851
Mon Mar 16 04:23:42 2009  prp51 factor: 128268102157416318560550976482838943377755476654339
Mon Mar 16 04:23:42 2009  elapsed time 07:29:37

2963204860996741060096307919041764536362963095353592541342576306410981071514265999823483457395547611649971253087<112>

2785752717121406456107181322074188931<37>
1063699890799604316061313992156606964334667038811968046342270980758586143477<76>

Number: 52223_124
N=2963204860996741060096307919041764536362963095353592541342576306410981071514265999823483457395547611649971253087
  ( 112 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=2785752717121406456107181322074188931 (pp37)
 r2=1063699890799604316061313992156606964334667038811968046342270980758586143477 (pp76)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 4.64 hours.
Scaled time: 2.18 units (timescale=0.471).
Factorization parameters were as follows:
name: 52223_124
n: 2963204860996741060096307919041764536362963095353592541342576306410981071514265999823483457395547611649971253087
m: 10000000000000000000000000
deg: 5
c5: 47
c0: 70
skew: 1.08
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, 850001)
Primes: RFBsize:71274, AFBsize:71085, largePrimes:2493548 encountered
Relations: rels:2351487, finalFF:160090
Max relations in full relation-set: 28
Initial matrix: 142424 x 160090 with sparse part having weight 12470984.
Pruned matrix : 137621 x 138397 with weight 9162565.
Total sieving time: 4.22 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.05 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: 4.64 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

96804210826636490116588725889134833374310349809842545479493603579383067588267469704967746999599827869755165879473361201<119>

249262664540884389477543315300142196556005259225137<51>
388362256356922383654110336587870767762061470294935602486273863612673<69>

Number: 52223_125
N=96804210826636490116588725889134833374310349809842545479493603579383067588267469704967746999599827869755165879473361201
  ( 119 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=249262664540884389477543315300142196556005259225137 (pp51)
 r2=388362256356922383654110336587870767762061470294935602486273863612673 (pp69)
Version: Msieve-1.39
Total time: 1.68 hours.
Scaled time: 2.01 units (timescale=1.198).
Factorization parameters were as follows:
n: 96804210826636490116588725889134833374310349809842545479493603579383067588267469704967746999599827869755165879473361201
m: 10000000000000000000000000
deg: 5
c5: 47
c0: 7
skew: 0.68
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, 750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 110741 x 110989
Total sieving time: 1.68 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,126,5,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,50000
total time: 1.68 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

25051411926386634933371128325976038352163784425090994680862630687952591764836059175251741466149949475198037289<110>

111720058899756669513508290883342780785552558577<48>
224233787317142184660331278856736740012475797164269565267779257<63>

Number: 52223_127
N=25051411926386634933371128325976038352163784425090994680862630687952591764836059175251741466149949475198037289
  ( 110 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=111720058899756669513508290883342780785552558577 (pp48)
 r2=224233787317142184660331278856736740012475797164269565267779257 (pp63)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 6.24 hours.
Scaled time: 2.95 units (timescale=0.472).
Factorization parameters were as follows:
name: 52223_127
n: 25051411926386634933371128325976038352163784425090994680862630687952591764836059175251741466149949475198037289
m: 50000000000000000000000000
deg: 5
c5: 188
c0: 875
skew: 1.36
type: snfs
lss: 1
rlim: 1060000
alim: 1060000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1060000/1060000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [530000, 1080001)
Primes: RFBsize:82832, AFBsize:82708, largePrimes:2783700 encountered
Relations: rels:2679599, finalFF:202916
Max relations in full relation-set: 28
Initial matrix: 165607 x 202916 with sparse part having weight 16321093.
Pruned matrix : 155684 x 156576 with weight 10102232.
Total sieving time: 5.69 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.37 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,1060000,1060000,26,26,47,47,2.3,2.3,50000
total time: 6.24 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

588134450037978469273729035196718460038766819706758665910851330873179442323406374626628475467911009000959785368466232948793511<126>

30602062129474609741231985600401032056090268883<47>
19218784915527384809400907508899151102992419244502866884919413944562822687207517<80>

Number: 52223_130
N=588134450037978469273729035196718460038766819706758665910851330873179442323406374626628475467911009000959785368466232948793511
  ( 126 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=30602062129474609741231985600401032056090268883 (pp47)
 r2=19218784915527384809400907508899151102992419244502866884919413944562822687207517 (pp80)
Version: Msieve-1.39
Total time: 2.20 hours.
Scaled time: 2.64 units (timescale=1.203).
Factorization parameters were as follows:
n: 588134450037978469273729035196718460038766819706758665910851330873179442323406374626628475467911009000959785368466232948793511
m: 100000000000000000000000000
deg: 5
c5: 47
c0: 7
skew: 0.68
type: snfs
lss: 1
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [550000, 950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 153635 x 153878
Total sieving time: 2.20 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,131,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
total time: 2.20 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

20579869795980366103623322527150212163132161603121064236735759419745754537062178048188509505557243542748396072817884659988367557<128>

670530294355163812218807659151808165983773<42>
30691931400014721397861209168400013999985859919109854327608444234510209403027930283209<86>

Number: 52223_133
N=20579869795980366103623322527150212163132161603121064236735759419745754537062178048188509505557243542748396072817884659988367557
  ( 128 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=670530294355163812218807659151808165983773
 r2=30691931400014721397861209168400013999985859919109854327608444234510209403027930283209
Version: 
Total time: 3.32 hours.
Scaled time: 3.44 units (timescale=1.036).
Factorization parameters were as follows:
n: 20579869795980366103623322527150212163132161603121064236735759419745754537062178048188509505557243542748396072817884659988367557
m: 500000000000000000000000000
deg: 5
c5: 376
c0: 175
skew: 0.86
type: snfs
lss: 1
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [650000, 1100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 175412 x 175660
Total sieving time: 3.32 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,136,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,48,48,2.3,2.3,75000
total time: 3.32 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

7343698854238176589428252334171735921680564445244644530558271981829781351369259450237855635132978354441778600336750583<118>

4525990818863841521810589260294153<34>
1622561588863687464350670473498891981365744075605523527865925442743054930210085773311<85>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1946389392
Step 1 took 6456ms
Step 2 took 6709ms
********** Factor found in step 2: 4525990818863841521810589260294153
Found probable prime factor of 34 digits: 4525990818863841521810589260294153
Probable prime cofactor has 85 digits

GMP-ECM 6.2.2

671323077802059676336575680964419876876490837154161488908885746525545985630829441087829055434146062761566039622345060061990258673637<132>

41772283146786978635729672887661947099<38>
33809349590802576044638725167462602354959817<44>
475342392548263571865729455529900570409279608682439<51>

Number: 52223_135
N=671323077802059676336575680964419876876490837154161488908885746525545985630829441087829055434146062761566039622345060061990258673637
  ( 132 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=41772283146786978635729672887661947099 (pp38)
 r2=33809349590802576044638725167462602354959817 (pp44)
 r3=475342392548263571865729455529900570409279608682439 (pp51)
Version: Msieve-1.39
Total time: 3.33 hours.
Scaled time: 3.98 units (timescale=1.195).
Factorization parameters were as follows:
n: 671323077802059676336575680964419876876490837154161488908885746525545985630829441087829055434146062761566039622345060061990258673637
m: 1000000000000000000000000000
deg: 5
c5: 47
c0: 7
skew: 0.68
type: snfs
lss: 1
rlim: 1330000
alim: 1330000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1330000/1330000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [665000, 1265001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 183120 x 183368
Total sieving time: 3.33 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,136,5,0,0,0,0,0,0,0,0,1330000,1330000,26,26,48,48,2.3,2.3,75000
total time: 3.33 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

245612107748382683103843121047146966921027784202545143925878753673353553204925094146364824065392065009859647243573<114>

6422170386514943990059678887791069<34>
4358789346295655325743077570815223087<37>
8774089653393861131013655175773030008711191<43>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=480940633
Step 1 took 5329ms
Step 2 took 6460ms
********** Factor found in step 2: 6422170386514943990059678887791069
Found probable prime factor of 34 digits: 6422170386514943990059678887791069
Composite cofactor has 80 digits

Sat Mar 14 00:21:33 2009  Msieve v. 1.40
Sat Mar 14 00:21:33 2009  random seeds: 8e3810e2 83902929
Sat Mar 14 00:21:33 2009  factoring 38244408504656100974238958952130843351545315858136955428199482775131044018466617 (80 digits)
Sat Mar 14 00:21:34 2009  searching for 15-digit factors
Sat Mar 14 00:21:34 2009  commencing quadratic sieve (80-digit input)
Sat Mar 14 00:21:34 2009  using multiplier of 2
Sat Mar 14 00:21:34 2009  using 64kb Opteron sieve core
Sat Mar 14 00:21:34 2009  sieve interval: 6 blocks of size 65536
Sat Mar 14 00:21:34 2009  processing polynomials in batches of 17
Sat Mar 14 00:21:34 2009  using a sieve bound of 1252877 (48647 primes)
Sat Mar 14 00:21:34 2009  using large prime bound of 125287700 (26 bits)
Sat Mar 14 00:21:34 2009  using trial factoring cutoff of 27 bits
Sat Mar 14 00:21:34 2009  polynomial 'A' values have 10 factors
Sat Mar 14 00:26:42 2009  49083 relations (25890 full + 23193 combined from 258044 partial), need 48743
Sat Mar 14 00:26:42 2009  begin with 283934 relations
Sat Mar 14 00:26:42 2009  reduce to 69404 relations in 2 passes
Sat Mar 14 00:26:42 2009  attempting to read 69404 relations
Sat Mar 14 00:26:43 2009  recovered 69404 relations
Sat Mar 14 00:26:43 2009  recovered 54668 polynomials
Sat Mar 14 00:26:43 2009  attempting to build 49083 cycles
Sat Mar 14 00:26:43 2009  found 49083 cycles in 1 passes
Sat Mar 14 00:26:43 2009  distribution of cycle lengths:
Sat Mar 14 00:26:43 2009     length 1 : 25890
Sat Mar 14 00:26:43 2009     length 2 : 23193
Sat Mar 14 00:26:43 2009  largest cycle: 2 relations
Sat Mar 14 00:26:43 2009  matrix is 48647 x 49083 (7.2 MB) with weight 1506848 (30.70/col)
Sat Mar 14 00:26:43 2009  sparse part has weight 1506848 (30.70/col)
Sat Mar 14 00:26:43 2009  filtering completed in 3 passes
Sat Mar 14 00:26:43 2009  matrix is 33410 x 33472 (5.4 MB) with weight 1150563 (34.37/col)
Sat Mar 14 00:26:43 2009  sparse part has weight 1150563 (34.37/col)
Sat Mar 14 00:26:43 2009  saving the first 48 matrix rows for later
Sat Mar 14 00:26:43 2009  matrix is 33362 x 33472 (3.6 MB) with weight 845758 (25.27/col)
Sat Mar 14 00:26:43 2009  sparse part has weight 616640 (18.42/col)
Sat Mar 14 00:26:43 2009  matrix includes 64 packed rows
Sat Mar 14 00:26:43 2009  using block size 13388 for processor cache size 6144 kB
Sat Mar 14 00:26:43 2009  commencing Lanczos iteration
Sat Mar 14 00:26:43 2009  memory use: 3.6 MB
Sat Mar 14 00:26:45 2009  lanczos halted after 529 iterations (dim = 33361)
Sat Mar 14 00:26:45 2009  recovered 17 nontrivial dependencies
Sat Mar 14 00:26:45 2009  prp37 factor: 4358789346295655325743077570815223087
Sat Mar 14 00:26:45 2009  prp43 factor: 8774089653393861131013655175773030008711191
Sat Mar 14 00:26:45 2009  elapsed time 00:05:12

GMP-ECM 6.2.2; msieve-1.40 qs

Phenom940

1740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740741<139>

74888297967594832839979980338219968859<38>
23244495975779587331338347767981862919991270902971405226871275122113539942555509695342001780626474399<101>

Number: 52223_138
N=1740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740741
  ( 139 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=74888297967594832839979980338219968859
 r2=23244495975779587331338347767981862919991270902971405226871275122113539942555509695342001780626474399
Version: 
Total time: 5.23 hours.
Scaled time: 13.40 units (timescale=2.564).
Factorization parameters were as follows:
name: 52223_138
n: 1740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740741
m: 5000000000000000000000000000
deg: 5
c5: 376
c0: 175
skew: 0.86
type: snfs
lss: 1
rlim: 1570000
alim: 1570000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1570000/1570000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [785000, 1485001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 217288 x 217536
Total sieving time: 5.23 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,141,5,0,0,0,0,0,0,0,0,1570000,1570000,26,26,48,48,2.3,2.3,100000
total time: 5.23 hours.
 --------- CPU info (if available) ----------

73331478323410147266499510383342895161258683453862402218627955193839501880292089862428301297353485747455249979776189823737184041<128>

924167590475255281190980833502221704983289143438697<51>
79348679913887986573832937048156352419037224563313906740755084949360325692353<77>

Number: 52223_139
N=73331478323410147266499510383342895161258683453862402218627955193839501880292089862428301297353485747455249979776189823737184041
  ( 128 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=924167590475255281190980833502221704983289143438697 (pp51)
 r2=79348679913887986573832937048156352419037224563313906740755084949360325692353 (pp77)
Version: Msieve-1.39
Total time: 6.56 hours.
Scaled time: 7.86 units (timescale=1.198).
Factorization parameters were as follows:
n: 73331478323410147266499510383342895161258683453862402218627955193839501880292089862428301297353485747455249979776189823737184041
m: 10000000000000000000000000000
deg: 5
c5: 47
c0: 70
skew: 1.08
type: snfs
lss: 1
rlim: 1610000
alim: 1610000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1610000/1610000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [805000, 2005001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 283781 x 284029
Total sieving time: 6.56 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,141,5,0,0,0,0,0,0,0,0,1610000,1610000,26,26,48,48,2.3,2.3,100000
total time: 6.56 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

356425316830819773325364888578049862666633350596712104271121317360257816402903548140519966643130178935050870359739176563243<123>

283548934196313789203440276497841<33>

1257015188017072067989007346481096231837401079833480219711434479996912229920252505539616923<91>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2255321493
Step 1 took 6393ms
Step 2 took 6728ms
********** Factor found in step 2: 283548934196313789203440276497841
Found probable prime factor of 33 digits: 283548934196313789203440276497841
Composite cofactor has 91 digits

GMP-ECM 6.2.1

1257015188017072067989007346481096231837401079833480219711434479996912229920252505539616923<91>

1911449618135293346702987304200387<34>
657624023197298791172408414280655129548713829126953741129<57>

Number: xx
N=1257015188017072067989007346481096231837401079833480219711434479996912229920252505539616923
  ( 91 digits)
Divisors found:
 r1=1911449618135293346702987304200387 (pp34)
 r2=657624023197298791172408414280655129548713829126953741129 (pp57)
Version: Msieve-1.39
Total time: 2.18 hours.
Scaled time: 2.62 units (timescale=1.205).
Factorization parameters were as follows:
name: xx
n:  1257015188017072067989007346481096231837401079833480219711434479996912229920252505539616923
m:  546290656101251286969
deg: 4
c4: 14113848
c3: -68846950066
c2: -56128707678443779
c1: 262207139052200188
c0: 7295248138280862827356
skew: 1635.250
type: gnfs
# adj. I(F,S) = 52.887
# E(F1,F2) = 1.611276e-004
# GGNFS version 0.77.1-VC8(Sat 01/17/2009) polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=58.00000000, seed=1237044911.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 700000
alim: 700000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.4
alambda: 2.4
qintsize: 40000

type: gnfs
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [350000, 750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 117271 x 117519
Polynomial selection time: 0.17 hours.
Total sieving time: 2.01 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:
gnfs,90,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,700000,700000,25,25,44,44,2.4,2.4,40000
total time: 2.18 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

96405537451925433914025982196964859702746930465175341349339857626698320278573835356653181875433714404584241620469192691147008257287<131>

5096739469024961520866987421681254104278729943636216958479<58>
18915139382309534187342328756837372102811459581455292795741652706009590153<74>

Number: 52223_142
N=96405537451925433914025982196964859702746930465175341349339857626698320278573835356653181875433714404584241620469192691147008257287
  ( 131 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=5096739469024961520866987421681254104278729943636216958479 (pp58)
 r2=18915139382309534187342328756837372102811459581455292795741652706009590153 (pp74)
Version: Msieve-1.39
Total time: 9.63 hours.
Scaled time: 24.66 units (timescale=2.560).
Factorization parameters were as follows:
n: 96405537451925433914025982196964859702746930465175341349339857626698320278573835356653181875433714404584241620469192691147008257287
m: 50000000000000000000000000000
deg: 5
c5: 188
c0: 875
skew: 1.36
type: snfs
lss: 1
rlim: 1880000
alim: 1880000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1880000/1880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [940000, 2540001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 319979 x 320227
Total sieving time: 9.63 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,145,5,0,0,0,0,0,0,0,0,1880000,1880000,26,26,49,49,2.3,2.3,100000
total time: 9.63 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

65907539514889062053452502588117361920303710604156293441563097996941129629342441926458247231633200554053052326483<113>

85624867478828930787372533109107<32>
769724280521484580060958723080328755146417996214229835475972442189748684927038369<81>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 65907539514889062053452502588117361920303710604156293441563097996941129629342441926458247231633200554053052326483 (113 digits)
Using B1=3000000, B2=4016636513, polynomial Dickson(6), sigma=1394535338
Step 1 took 31217ms
Step 2 took 14063ms
********** Factor found in step 2: 85624867478828930787372533109107
Found probable prime factor of 32 digits: 85624867478828930787372533109107
Probable prime cofactor 769724280521484580060958723080328755146417996214229835475972442189748684927038369 has 81 digits

1227974664311766589355733242444396647490170147725325989585003427865148305779162556968586001779105369927197797636322777822494344543088171771019<142>

150977405811707391544441629014942915254146978114697<51>
8133499563790653802159123230440166841774559689885450265413877571628391523856582549817248627<91>

N=1227974664311766589355733242444396647490170147725325989585003427865148305779162556968586001779105369927197797636322777822494344543088171771019
  ( 142 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=150977405811707391544441629014942915254146978114697 (pp51)
 r2=8133499563790653802159123230440166841774559689885450265413877571628391523856582549817248627 (pp91)
Version: Msieve-1.39
Total time: 15.16 hours.
Scaled time: 23.14 units (timescale=1.526).
Factorization parameters were as follows:
n: 1227974664311766589355733242444396647490170147725325989585003427865148305779162556968586001779105369927197797636322777822494344543088171771019
m: 500000000000000000000000000000
deg: 5
c5: 376
c0: 175
skew: 0.86
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, 1750001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 346131 x 346379
Total sieving time: 15.16 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: 15.16 hours.
 --------- CPU info (if available) ----------

77522232259394358631908094737783731115797641883602078896925959594795952897334482639214941425170554281822871672429199668480018789<128>

12981001349455405687802789400335433709<38>
8235387083643003571164062884161771612247309<43>
725160363174653876136764441831634563361439526269<48>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 77522232259394358631908094737783731115797641883602078896925959594795952897334482639214941425170554281822871672429199668480018789 (128 digits)
Using B1=3000000, B2=4016636513, polynomial Dickson(6), sigma=652276842
Step 1 took 38621ms
Step 2 took 16218ms
********** Factor found in step 2: 12981001349455405687802789400335433709
Found probable prime factor of 38 digits: 12981001349455405687802789400335433709
Composite cofactor 5971976288458414107720523065381110836076091172026394562990564642925121822831406723430060121 has 91 digits


Mon Mar 16 04:27:42 2009  
Mon Mar 16 04:27:42 2009  
Mon Mar 16 04:27:42 2009  Msieve v. 1.39
Mon Mar 16 04:27:42 2009  random seeds: 548c4a60 89bde685
Mon Mar 16 04:27:42 2009  factoring 5971976288458414107720523065381110836076091172026394562990564642925121822831406723430060121 (91 digits)
Mon Mar 16 04:27:43 2009  searching for 15-digit factors
Mon Mar 16 04:27:44 2009  commencing quadratic sieve (91-digit input)
Mon Mar 16 04:27:44 2009  using multiplier of 1
Mon Mar 16 04:27:44 2009  using 32kb Intel Core sieve core
Mon Mar 16 04:27:44 2009  sieve interval: 36 blocks of size 32768
Mon Mar 16 04:27:44 2009  processing polynomials in batches of 6
Mon Mar 16 04:27:44 2009  using a sieve bound of 1716163 (64706 primes)
Mon Mar 16 04:27:44 2009  using large prime bound of 164751648 (27 bits)
Mon Mar 16 04:27:44 2009  using double large prime bound of 617011891179744 (42-50 bits)
Mon Mar 16 04:27:44 2009  using trial factoring cutoff of 50 bits
Mon Mar 16 04:27:44 2009  polynomial 'A' values have 12 factors
Mon Mar 16 05:26:25 2009  65029 relations (16951 full + 48078 combined from 761306 partial), need 64802
Mon Mar 16 05:26:26 2009  begin with 778257 relations
Mon Mar 16 05:26:26 2009  reduce to 161404 relations in 9 passes
Mon Mar 16 05:26:26 2009  attempting to read 161404 relations
Mon Mar 16 05:26:28 2009  recovered 161404 relations
Mon Mar 16 05:26:28 2009  recovered 139326 polynomials
Mon Mar 16 05:26:28 2009  attempting to build 65029 cycles
Mon Mar 16 05:26:28 2009  found 65029 cycles in 6 passes
Mon Mar 16 05:26:28 2009  distribution of cycle lengths:
Mon Mar 16 05:26:28 2009     length 1 : 16951
Mon Mar 16 05:26:28 2009     length 2 : 12287
Mon Mar 16 05:26:28 2009     length 3 : 11392
Mon Mar 16 05:26:28 2009     length 4 : 8627
Mon Mar 16 05:26:28 2009     length 5 : 6184
Mon Mar 16 05:26:28 2009     length 6 : 4044
Mon Mar 16 05:26:28 2009     length 7 : 2499
Mon Mar 16 05:26:28 2009     length 9+: 3045
Mon Mar 16 05:26:28 2009  largest cycle: 21 relations
Mon Mar 16 05:26:28 2009  matrix is 64706 x 65029 (15.9 MB) with weight 3898076 (59.94/col)
Mon Mar 16 05:26:28 2009  sparse part has weight 3898076 (59.94/col)
Mon Mar 16 05:26:28 2009  filtering completed in 3 passes
Mon Mar 16 05:26:28 2009  matrix is 60820 x 60884 (14.9 MB) with weight 3665169 (60.20/col)
Mon Mar 16 05:26:28 2009  sparse part has weight 3665169 (60.20/col)
Mon Mar 16 05:26:28 2009  saving the first 48 matrix rows for later
Mon Mar 16 05:26:28 2009  matrix is 60772 x 60884 (9.3 MB) with weight 2866426 (47.08/col)
Mon Mar 16 05:26:28 2009  sparse part has weight 2067717 (33.96/col)
Mon Mar 16 05:26:28 2009  matrix includes 64 packed rows
Mon Mar 16 05:26:28 2009  using block size 24353 for processor cache size 6144 kB
Mon Mar 16 05:26:29 2009  commencing Lanczos iteration
Mon Mar 16 05:26:29 2009  memory use: 9.2 MB
Mon Mar 16 05:26:41 2009  lanczos halted after 962 iterations (dim = 60769)
Mon Mar 16 05:26:42 2009  recovered 15 nontrivial dependencies
Mon Mar 16 05:26:42 2009  prp43 factor: 8235387083643003571164062884161771612247309
Mon Mar 16 05:26:42 2009  prp48 factor: 725160363174653876136764441831634563361439526269
Mon Mar 16 05:26:42 2009  elapsed time 00:59:00

960373360468989135520941247627162627990183758247461651474377443077444916457734377075274881332589554815863733236887327771341232915060084635456575799<147>

1396878228389702772023212273444635430643248153499312015251540972847<67>
687514015860989579211268857010371322143295142608516624964678470259632117016644217<81>

Number: 52223_151
N=960373360468989135520941247627162627990183758247461651474377443077444916457734377075274881332589554815863733236887327771341232915060084635456575799
  ( 147 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=1396878228389702772023212273444635430643248153499312015251540972847 (pp67)
 r2=687514015860989579211268857010371322143295142608516624964678470259632117016644217 (pp81)
Version: Msieve-1.39
Total time: 18.35 hours.
Scaled time: 47.19 units (timescale=2.571).
Factorization parameters were as follows:
n: 960373360468989135520941247627162627990183758247461651474377443077444916457734377075274881332589554815863733236887327771341232915060084635456575799
m: 2000000000000000000000000000000
deg: 5
c5: 235
c0: 112
skew: 0.86
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 436659 x 436907
Total sieving time: 18.35 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,153,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 18.35 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

943257898061663167439105813626771421881817283621986010656911841970131291177095036417647128974778793953495154923<111>

339373340987111439213032822853497251<36>
2779410708331052353653724618917632167285726758443818868201468908679417755673<76>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1946158246
Step 1 took 5372ms
Step 2 took 3256ms
********** Factor found in step 2: 339373340987111439213032822853497251
Found probable prime factor of 36 digits: 339373340987111439213032822853497251
Probable prime cofactor has 76 digits

GMP-ECM 6.2.2

1258108812439237694203483146521574063299844350525283182225096063969104702197747455213936183742134377317379549933790016124939734580263715132685375173<148>

13570844613002159206276004364691<32>
15817293669014247931825045270010627021<38>
5861100234609922300221141974629455706532441454493876553268835399948265889446243<79>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2000005749
Step 1 took 7681ms
Step 2 took 7924ms
********** Factor found in step 2: 15817293669014247931825045270010627021
Found probable prime factor of 38 digits: 15817293669014247931825045270010627021

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2056501203
Step 1 took 7769ms
Step 2 took 8460ms
********** Factor found in step 2: 13570844613002159206276004364691
Found probable prime factor of 32 digits: 13570844613002159206276004364691

GMP-ECM 6.2.2

658495618645305733221984821404460863586812480725034488110267055018883740631864279001729002904992935850854797600803454626685203897402703<135>

1057730668417200572838874936212859657<37>
5105488992144329951453710753573117397<37>
121938387829153761107662905698626411651559749568993099534450107<63>

Number: 52223_155
N=658495618645305733221984821404460863586812480725034488110267055018883740631864279001729002904992935850854797600803454626685203897402703
  ( 135 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=1057730668417200572838874936212859657
 r2=5105488992144329951453710753573117397
 r3=121938387829153761107662905698626411651559749568993099534450107
Version: 
Total time: 25.04 hours.
Scaled time: 25.71 units (timescale=1.027).
Factorization parameters were as follows:
n: 658495618645305733221984821404460863586812480725034488110267055018883740631864279001729002904992935850854797600803454626685203897402703
m: 10000000000000000000000000000000
deg: 5
c5: 47
c0: 7
skew: 0.68
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 521816 x 522064
Total sieving time: 25.04 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,156,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 25.04 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

29654530254669610917222332069542394353508764352120227633803911665012189426491893755270934356654638179550103121088739870615257179<128>

241830508061251464811661998926787<33>

122625265490318673039471791592719193179089888733075612849378008814899208570958452107536328001417<96>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3844973302
Step 1 took 6400ms
Step 2 took 7389ms
********** Factor found in step 2: 241830508061251464811661998926787
Found probable prime factor of 33 digits: 241830508061251464811661998926787
Composite cofactor has 96 digits

GMP-ECM 6.2.2

122625265490318673039471791592719193179089888733075612849378008814899208570958452107536328001417<96>

353857639571532254488773357157059114181483<42>
346538414823540919935905899613289637969994899089486299<54>

Number: 52223_157
N=122625265490318673039471791592719193179089888733075612849378008814899208570958452107536328001417
  ( 96 digits)
Divisors found:
 r1=353857639571532254488773357157059114181483 (pp42)
 r2=346538414823540919935905899613289637969994899089486299 (pp54)
Version: Msieve-1.40
Total time: 6.12 hours.
Scaled time: 10.00 units (timescale=1.634).
Factorization parameters were as follows:
name: 52223_157
n:  122625265490318673039471791592719193179089888733075612849378008814899208570958452107536328001417
m:  6416193915203397720025
deg: 4
c4: 72355248
c3: -272460385524
c2: -509605734721730048
c1: 1140845574484152871
c0: 281369533074014834402142
skew: 1635.250
type: gnfs
# adj. I(F,S) = 55.934
# E(F1,F2) = 3.706629e-05
# GGNFS version 0.77.1-20060722-prescott polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1237065719.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1380001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 178331 x 178579
Polynomial selection time: 0.17 hours.
Total sieving time: 5.96 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,95,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 6.12 hours.
 --------- CPU info (if available) ----------
[    0.371546] CPU0: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.456482] CPU1: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.004000] Memory: 2036264k/2070528k available (2576k kernel code, 32096k reserved, 1165k data, 424k init, 1152180k highmem)
[    0.004011] Calibrating delay loop (skipped), value calculated using timer frequency.. 4400.13 BogoMIPS (lpj=8800268)
[    0.004000] Calibrating delay using timer specific routine.. 4400.41 BogoMIPS (lpj=8800829)
[    0.460049] Total of 2 processors activated (8800.54 BogoMIPS).

GGNFS (sieving) + msieve v1.40beta2 (postprocessing) via factMsieve.pl

Core 2 Duo E4500 (2.2Ghz), Ubuntu 8.10 32-bit

5070118662351672060409924487594390507011866235167206040992448759439050701186623516720604099244875943905070118662351672060409924487594390507011866235167206041<157>

71303755236789181010241436764968018401427992819337740943<56>
71105913643882583795061215112708628113247174708582329597976670564566008135825025418369512291553408087<101>

SNFS difficulty: 161 digits.
Divisors found:
 r1=71303755236789181010241436764968018401427992819337740943 (pp56)
 r2=71105913643882583795061215112708628113247174708582329597976670564566008135825025418369512291553408087 (pp101)
Version: Msieve-1.40b2
Total time: 9.38 hours.
Scaled time: 26.62 units (timescale=2.840).
Factorization parameters were as follows:
n: 5070118662351672060409924487594390507011866235167206040992448759439050701186623516720604099244875943905070118662351672060409924487594390507011866235167206041
m: 50000000000000000000000000000000
deg: 5
c5: 376
c0: 175
skew: 0.86
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
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, 2800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 655490 x 655738
Total sieving time: 9.38 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.55 hours.
Time per square root: 0.10 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: 9.38 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Phenom(tm) II X4 940 Processor stepping 02
CPU1: AMD Phenom(tm) II X4 940 Processor stepping 02
CPU2: AMD Phenom(tm) II X4 940 Processor stepping 02
CPU3: AMD Phenom(tm) II X4 940 Processor stepping 02
Memory: 8173900k/9175040k available (2699k kernel code, 213168k reserved, 3164k data, 788k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6012.77 BogoMIPS (lpj=12025552)
Calibrating delay using timer specific routine.. 6012.90 BogoMIPS (lpj=12025812)
Calibrating delay using timer specific routine.. 6012.85 BogoMIPS (lpj=12025719)
Calibrating delay using timer specific routine.. 6012.90 BogoMIPS (lpj=12025802)
Total of 4 processors activated (24051.44 BogoMIPS).

Msieve-1.40b2

AMD Phenom(tm) II X4 940/openSUSE/64

16850968233241792739085910398697245799033831050992627002110908064022523588952110206176397144014275422600148319412030862186767222853<131>

511170948529923283034557432633722003404601633248959994471<57>
32965426305433629230190054462246589863807476823608132777661922721319318643<74>

Number: 52223_159
N=16850968233241792739085910398697245799033831050992627002110908064022523588952110206176397144014275422600148319412030862186767222853
  ( 131 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=511170948529923283034557432633722003404601633248959994471 (pp57)
 r2=32965426305433629230190054462246589863807476823608132777661922721319318643 (pp74)
Version: Msieve-1.39
Total time: 35.25 hours.
Scaled time: 90.23 units (timescale=2.560).
Factorization parameters were as follows:
n: 16850968233241792739085910398697245799033831050992627002110908064022523588952110206176397144014275422600148319412030862186767222853
m: 100000000000000000000000000000000
deg: 5
c5: 47
c0: 70
skew: 1.08
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 3650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 725307 x 725555
Total sieving time: 35.25 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,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 35.25 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

12305900993670026619980338207680961830364582789630242898677969682151698305106408426947801975811893341357262263082403247088756161137232942831386070593<149>

677169855882163806082378185483179<33>
5496731340466694320360386942697835693<37>
3306064243695495188858715370392906167979916663834620388391227511084523258179119<79>

GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 12305900993670026619980338207680961830364582789630242898677969682151698305106408426947801975811893341357262263082403247088756161137232942831386070593 (149 digits)
Using B1=1448000, B2=2140044280, polynomial Dickson(6), sigma=344506990
Step 1 took 22198ms
Step 2 took 8736ms
********** Factor found in step 2: 677169855882163806082378185483179
Found probable prime factor of 33 digits: 677169855882163806082378185483179
Composite cofactor 18172546941917347226698165407954137115963849562056879758917105037777316590135405923860492225765462654110141425494467 has 116 digits


GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 18172546941917347226698165407954137115963849562056879758917105037777316590135405923860492225765462654110141425494467 (116 digits)
Using B1=3640000, B2=8561127130, polynomial Dickson(6), sigma=2816991832
Step 1 took 36332ms
Step 2 took 14227ms
********** Factor found in step 2: 5496731340466694320360386942697835693
Found probable prime factor of 37 digits: 5496731340466694320360386942697835693
Probable prime cofactor 3306064243695495188858715370392906167979916663834620388391227511084523258179119 has 79 digits

2303954264867844524330553774540163037301266630240816352596872696898564697965909487259971496062975076341497274290832388187297394939283<133>

20398266286980159421404905123974135815941181589412331885179004209<65>
112948533588779377061204194941043083851885494268137274349596053865987<69>

Number: n
N=2303954264867844524330553774540163037301266630240816352596872696898564697965909487259971496062975076341497274290832388187297394939283
  ( 133 digits)
SNFS difficulty: 166 digits.
Divisors found:

Wed Apr 15 00:44:52 2009  prp65 factor: 20398266286980159421404905123974135815941181589412331885179004209
Wed Apr 15 00:44:52 2009  prp69 factor: 112948533588779377061204194941043083851885494268137274349596053865987
Wed Apr 15 00:44:52 2009  elapsed time 01:02:06 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 46.09 hours.
Scaled time: 122.59 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_5_2_163_3
n: 2303954264867844524330553774540163037301266630240816352596872696898564697965909487259971496062975076341497274290832388187297394939283
m: 1000000000000000000000000000000000
deg: 5
c5: 47
c0: 70
skew: 1.08
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2100000, 4872583)
Primes: RFBsize:296314, AFBsize:296696, largePrimes:16186740 encountered
Relations: rels:15719737, finalFF:550036
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1974808 hash collisions in 17758903 relations
Msieve: matrix is 759246 x 759494 (201.2 MB)

Total sieving time: 45.52 hours.
Total relation processing time: 0.57 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,28,28,56,56,2.4,2.4,100000
total time: 46.09 hours.
 --------- CPU info (if available) ----------

13355380509140635538229932993782729384556502906684905001615574806057852837289495405024504423742468027148021859291177671485998346944881406920570636195485148262767623<164>

794713181149411111682301022055428586693<39>
16805283750075034191479848530740623199369945040294683927031175977873033235337781607162824731136170054236085541647539786898011<125>

Number: 52223_169
N=13355380509140635538229932993782729384556502906684905001615574806057852837289495405024504423742468027148021859291177671485998346944881406920570636195485148262767623
  ( 164 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=794713181149411111682301022055428586693 (pp39)
 r2=16805283750075034191479848530740623199369945040294683927031175977873033235337781607162824731136170054236085541647539786898011 (pp125)
Version: Msieve-1.40
Total time: 77.13 hours.
Scaled time: 134.12 units (timescale=1.739).
Factorization parameters were as follows:
n: 13355380509140635538229932993782729384556502906684905001615574806057852837289495405024504423742468027148021859291177671485998346944881406920570636195485148262767623
m: 10000000000000000000000000000000000
deg: 5
c5: 47
c0: 70
skew: 1.08
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, 6750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1039031 x 1039279
Total sieving time: 75.17 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 1.40 hours.
Time per square root: 0.37 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: 77.13 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

12146365655431132202943080014873332479426617499334645447393097560540169951246527581811497428728533243733416133954869342564412853855411676767901831<146>

63031244433350462277961874790503249892506486100802703001462978317<65>
192703884630974675279313413532569965260638475935521459497205658966223021555132643<81>

Number: 52223_170
N=12146365655431132202943080014873332479426617499334645447393097560540169951246527581811497428728533243733416133954869342564412853855411676767901831
  ( 146 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=63031244433350462277961874790503249892506486100802703001462978317
 r2=192703884630974675279313413532569965260638475935521459497205658966223021555132643
Version: 
Total time: 37.80 hours.
Scaled time: 90.07 units (timescale=2.383).
Factorization parameters were as follows:
n: 12146365655431132202943080014873332479426617499334645447393097560540169951246527581811497428728533243733416133954869342564412853855411676767901831
m: 10000000000000000000000000000000000
deg: 5
c5: 47
c0: 7
skew: 0.68
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [3000000, 5800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11056590
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1006773 x 1007021
Total sieving time: 33.71 hours.
Total relation processing time: 1.54 hours.
Matrix solve time: 2.41 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,52,52,2.4,2.4,100000
total time: 37.80 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673802)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
Calibrating delay using timer specific routine.. 5344.72 BogoMIPS (lpj=2672363)
Calibrating delay using timer specific routine.. 5535.15 BogoMIPS (lpj=2767578)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

4800937936394042450238863211707255915470509783449291318853680497157262486822946994340124951913994694918071768927212961603321944624244547379<139>

288949754807407778795535378837359651<36>

16615130681090168682484149882073393686384044650429952415437022192442172356711464024014618654692383492529<104>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=240630566
Step 1 took 42471ms
Step 2 took 14596ms
********** Factor found in step 2: 288949754807407778795535378837359651
Found probable prime factor of 36 digits: 288949754807407778795535378837359651
Composite cofactor 16615130681090168682484149882073393686384044650429952415437022192442172356711464024014618654692383492529 has 104 digits

GMP-ECM 6.2.1

16615130681090168682484149882073393686384044650429952415437022192442172356711464024014618654692383492529<104>

12289616516746838106901363670752368934979810153<47>
1351964941985702375077635494737512490391884094055273661193<58>

N=16615130681090168682484149882073393686384044650429952415437022192442172356711464024014618654692383492529
  ( 104 digits)
Divisors found:
 r1=12289616516746838106901363670752368934979810153 (pp47)
 r2=1351964941985702375077635494737512490391884094055273661193 (pp58)
Version: Msieve-1.40
Total time: 6.33 hours.
Scaled time: 12.01 units (timescale=1.899).
Factorization parameters were as follows:
n: 16615130681090168682484149882073393686384044650429952415437022192442172356711464024014618654692383492529
skew: 5197.87
# norm 1.04e+013
c5: 15960
c4: -184339309
c3: -1695036569856
c2: 5342536944215639
c1: 17116190166354377245
c0: -13677862918281503944854
# alpha -3.45
Y1: 10092556199
Y0: -63605450663550372257
# Murphy_E 2.21e-009
# M 1859835780868646606837778153991172769667025259596543365334539620061107358998462310498137234116573516495
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 274907 x 275135
Polynomial selection time: 0.64 hours.
Total sieving time: 5.47 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 6.33 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

1740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740741<175>

620557364544933209347505543283287271715542928474811138177123479741287954493<75>
2805124618925858366785530971753399005552313623794237404028517151752362815052615083829211038292546537<100>

Number: 52223_174
N=1740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740741
  ( 175 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=620557364544933209347505543283287271715542928474811138177123479741287954493 (pp75)
 r2=2805124618925858366785530971753399005552313623794237404028517151752362815052615083829211038292546537 (pp100)
Version: Msieve-1.39
Total time: 102.99 hours.
Scaled time: 179.10 units (timescale=1.739).
Factorization parameters were as follows:
n: 1740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740741
m: 100000000000000000000000000000000000
deg: 5
c5: 47
c0: 70
skew: 1.08
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3100000, 8500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1410995 x 1411243
Total sieving time: 102.99 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,176,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 102.99 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

2220091655556557722238021955408223651818270404206495704208224459091386547919200153582922633088461736496745643168199754913808917433512631854119167<145>

32574520908360170904203112604453950480660975793<47>
68154238148343008890488851728752845456944709882307049071163993396406437503069170579783880700268719<98>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2441078102
Step 1 took 41438ms
Step 2 took 16633ms
********** Factor found in step 2: 32574520908360170904203112604453950480660975793
Found probable prime factor of 47 digits: 32574520908360170904203112604453950480660975793
Probable prime cofactor 68154238148343008890488851728752845456944709882307049071163993396406437503069170579783880700268719 has 98 digits

GMP-ECM 6.3

4153149831851290210501754163685356778461480790532842292820520489225816085039196107057906388138872002579314586720144179123648572666187356062817211232930329965182722284861<169>

23744230135798539566158416841179116842527360931326458744300758777060708603612640309<83>
174911960004535901531928683298885365666498907070928947276892954638336612568716372465129<87>

N=4153149831851290210501754163685356778461480790532842292820520489225816085039196107057906388138872002579314586720144179123648572666187356062817211232930329965182722284861
  ( 169 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=23744230135798539566158416841179116842527360931326458744300758777060708603612640309 (pp83)
 r2=174911960004535901531928683298885365666498907070928947276892954638336612568716372465129 (pp87)
Version: Msieve-1.40
Total time: 105.43 hours.
Scaled time: 189.04 units (timescale=1.793).
Factorization parameters were as follows:
n: 4153149831851290210501754163685356778461480790532842292820520489225816085039196107057906388138872002579314586720144179123648572666187356062817211232930329965182722284861
m: 100000000000000000000000000000000000
deg: 5
c5: 470
c0: 7
skew: 0.43
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3200000, 8300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1374597 x 1374822
Total sieving time: 102.49 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.23 hours.
Time per square root: 0.55 hours.
Prototype def-par.txt line would be:
snfs,177.000,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000
total time: 105.43 hours.
 --------- CPU info (if available) ----------

111435381285704948409432995229722372939449348544364872260226194916961597257735207747542497044961492666431237827492935081562416925339<132>

38059865957361239395706633768497607<35>

2927897365969361617587979102639053543321460759493463258030691681106261218929384400206841577332877<97>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2158757839
Step 1 took 16598ms
Step 2 took 10172ms
********** Factor found in step 2: 38059865957361239395706633768497607
Found probable prime factor of 35 digits: 38059865957361239395706633768497607
Composite cofactor 2927897365969361617587979102639053543321460759493463258030691681106261218929384400206841577332877 has 97 digits

GMP-ECM 6.3

2927897365969361617587979102639053543321460759493463258030691681106261218929384400206841577332877<97>

1381693174131727265814396503951432553374380506631<49>
2119064797297915148965182907748684615917550110667<49>

N = 2927897365969361617587979102639053543321460759493463258030691681106261218929384400206841577332877 (97 digits)
Divisors found:
r1=1381693174131727265814396503951432553374380506631 (pp49)
r2=2119064797297915148965182907748684615917550110667 (pp49)
Version: Msieve v. 1.48
Total time: 8.78 hours.
Factorization parameters were as follows:
n: 2927897365969361617587979102639053543321460759493463258030691681106261218929384400206841577332877
Y0: -191880361587135700156240
Y1: 6900132819343
c0: 667074273386728743723431517
c1: 2002542887764594473397
c2: -13408225512270590
c3: -2767654284
c4: 2160
skew: 1345910.64
type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Sieved algebraic special-q in [0, 0)
Total raw relations: 2168618
Relations: 214240 relations
Pruned matrix : 133938 x 134166
Polynomial selection time: 0.37 hours.
Total sieving time: 7.57 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.33 hours.
time per square root: 0.33 hours.
Prototype def-par.txt line would be: gnfs,96,4,60,2000,0.0001,0.3,220,15,10000,600,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 8.78 hours.
x86 Family 6 Model 13 Stepping 8, GenuineIntel
Windows-XP-5.1.2600-SP3
processors: 1, speed: 1.73GHz

135794676374306741530391923388636160062652585419733864732843381397648317361401988343586105388722249607140525343886619109613152279706726590879699316240841797<156>

5739295450868700019438034445321883365844317017427713384386139259430267721<73>
23660513304599583414506460486827001184235936130767690144836475567789872835922537757<83>

Sieving took ~1 day with 8 threads

Msieve v. 1.52 (SVN 956M)
Fri May  2 12:41:48 2014
random seeds: e79c1488 6bc25b34
factoring 135794676374306741530391923388636160062652585419733864732843381397648317361401988343586105388722249607140525343886619109613152279706726590879699316240841797 (156 digits)
searching for 15-digit factors
commencing number field sieve (156-digit input)
R0: -1000000000000000000000000000000000000
R1: 1
A0: 7
A1: 0
A2: 0
A3: 0
A4: 0
A5: 4700
skew 0.27, size 4.259e-13, alpha 1.076, combined = 5.071e-11 rroots = 1

commencing relation filtering
estimated available RAM is 32004.3 MB
commencing duplicate removal, pass 1
error -11 reading relation 4601
error -15 reading relation 9060
error -5 reading relation 13612
error -11 reading relation 18294
error -15 reading relation 22784
error -9 reading relation 27318
error -9 reading relation 31844
error -15 reading relation 36453
error -11 reading relation 113439
error -15 reading relation 942007
error -11 reading relation 1014319
error -15 reading relation 1084516
error -9 reading relation 1220060
error -11 reading relation 1903715
error -5 reading relation 2572978
error -15 reading relation 3374365
error -15 reading relation 4161971
error -15 reading relation 5377083
error -11 reading relation 6859515
error -9 reading relation 7745129
error -15 reading relation 8589134
error -9 reading relation 8592306
error -15 reading relation 9404335
error -9 reading relation 9407682
error -15 reading relation 9492988
error -9 reading relation 9496914
error -15 reading relation 9579715
error -1 reading relation 9583724
error -9 reading relation 9663608
error -15 reading relation 9667843
error -11 reading relation 9672694
error -15 reading relation 9673789
error -15 reading relation 9674014
skipped 2 relations with b > 2^32
found 1884086 hash collisions in 9674457 relations
added 197682 free relations
commencing duplicate removal, pass 2
found 1998110 duplicates and 7874029 unique relations
memory use: 53.3 MB
reading ideals above 100000
commencing singleton removal, initial pass
memory use: 188.2 MB
reading all ideals from disk
memory use: 306.7 MB
keeping 7025846 ideals with weight <= 200, target excess is 46506
commencing in-memory singleton removal
begin with 7874028 relations and 7025846 unique ideals
reduce to 5897926 relations and 4864762 ideals in 10 passes
max relations containing the same ideal: 173
removing 1215983 relations and 815983 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 4681943 relations and 4864762 unique ideals
reduce to 4504839 relations and 3857734 ideals in 7 passes
max relations containing the same ideal: 144
removing 1043031 relations and 643031 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 3461808 relations and 3857734 unique ideals
reduce to 3320740 relations and 3062571 ideals in 7 passes
max relations containing the same ideal: 115
removing 573908 relations and 369686 ideals in 204222 cliques
commencing in-memory singleton removal
begin with 2746832 relations and 3062571 unique ideals
reduce to 2674411 relations and 2616507 ideals in 6 passes
max relations containing the same ideal: 101
relations with 0 large ideals: 1028
relations with 1 large ideals: 144
relations with 2 large ideals: 1795
relations with 3 large ideals: 17477
relations with 4 large ideals: 93269
relations with 5 large ideals: 294240
relations with 6 large ideals: 608351
relations with 7+ large ideals: 1658107
commencing 2-way merge
reduce to 1937466 relation sets and 1879562 unique ideals
commencing full merge
memory use: 231.0 MB
found 996687 cycles, need 985762
weight of 985762 cycles is about 69216647 (70.22/cycle)
distribution of cycle lengths:
1 relations: 83414
2 relations: 107838
3 relations: 124782
4 relations: 124309
5 relations: 117342
6 relations: 102206
7 relations: 84660
8 relations: 67558
9 relations: 51002
10+ relations: 122651
heaviest cycle: 21 relations
commencing cycle optimization
start with 5411224 relations
pruned 204281 relations
memory use: 166.9 MB
distribution of cycle lengths:
1 relations: 83414
2 relations: 110960
3 relations: 131271
4 relations: 129651
5 relations: 123053
6 relations: 105262
7 relations: 85922
8 relations: 66580
9 relations: 48464
10+ relations: 101185
heaviest cycle: 20 relations
RelProcTime: 132

commencing linear algebra
read 985762 cycles
cycles contain 2630454 unique relations
read 2630454 relations
using 20 quadratic characters above 67108740
building initial matrix
memory use: 338.1 MB
read 985762 cycles
matrix is 985585 x 985762 (292.5 MB) with weight 85481237 (86.72/col)
sparse part has weight 65835161 (66.79/col)
filtering completed in 2 passes
matrix is 985397 x 985574 (292.5 MB) with weight 85475038 (86.73/col)
sparse part has weight 65832639 (66.80/col)
matrix starts at (0, 0)
matrix is 985397 x 985574 (292.5 MB) with weight 85475038 (86.73/col)
sparse part has weight 65832639 (66.80/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 985349 x 985574 (276.8 MB) with weight 68110406 (69.11/col)
sparse part has weight 62713036 (63.63/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (4 threads)
memory use: 220.7 MB
linear algebra at 0.3%, ETA 0h16m985574 dimensions (0.3%, ETA 0h16m)    
linear algebra completed 984865 of 985574 dimensions (99.9%, ETA 0h 0m)    
lanczos halted after 15581 iterations (dim = 985345)
recovered 37 nontrivial dependencies
BLanczosTime: 920

commencing square root phase
reading relations for dependency 1
read 492611 cycles
cycles contain 1313966 unique relations
read 1313966 relations
multiplying 1313966 relations
multiply complete, coefficients have about 45.08 million bits
initial square root is modulo 2966651
^[OCsqrtTime: 67
prp73 factor: 5739295450868700019438034445321883365844317017427713384386139259430267721
prp83 factor: 23660513304599583414506460486827001184235936130767690144836475567789872835922537757
elapsed time 00:18:40

I7 4770K

336486900353415024147237600989002997396746148444863813675164649764209038471473839837535695797853611852188481025423346221519<123>

58503555637351580708422043524842421283873937516824943479<56>
5751563245817234489103450552093888364306272232411751491982339846761<67>

Fri Jun 26 23:31:17 2009  Msieve v. 1.42
Fri Jun 26 23:31:17 2009  random seeds: a6acf584 39c875ea
Fri Jun 26 23:31:17 2009  factoring 336486900353415024147237600989002997396746148444863813675164649764209038471473839837535695797853611852188481025423346221519 (123 digits)
Fri Jun 26 23:31:18 2009  searching for 15-digit factors
Fri Jun 26 23:31:20 2009  commencing number field sieve (123-digit input)
Fri Jun 26 23:31:20 2009  R0: -487824567839495206772299
Fri Jun 26 23:31:20 2009  R1:  14668679888561
Fri Jun 26 23:31:20 2009  A0: -50331570058330244910862222320
Fri Jun 26 23:31:20 2009  A1:  768380589069646930261796
Fri Jun 26 23:31:20 2009  A2: -8962274101419223348
Fri Jun 26 23:31:20 2009  A3: -707850425755693
Fri Jun 26 23:31:20 2009  A4:  2360485890
Fri Jun 26 23:31:20 2009  A5:  12180
Fri Jun 26 23:31:20 2009  skew 126238.69, size 9.298006e-012, alpha -5.586956, combined = 2.122476e-010
Fri Jun 26 23:31:20 2009  
Fri Jun 26 23:31:20 2009  commencing relation filtering
Fri Jun 26 23:31:20 2009  commencing duplicate removal, pass 1
Fri Jun 26 23:31:20 2009  error -15 reading relation 69
Fri Jun 26 23:31:20 2009  error -15 reading relation 27248
Fri Jun 26 23:33:01 2009  found 1043150 hash collisions in 8851963 relations
Fri Jun 26 23:33:26 2009  added 58672 free relations
Fri Jun 26 23:33:26 2009  commencing duplicate removal, pass 2
Fri Jun 26 23:34:11 2009  found 999794 duplicates and 7910840 unique relations
Fri Jun 26 23:34:11 2009  memory use: 50.6 MB
Fri Jun 26 23:34:11 2009  reading rational ideals above 6094848
Fri Jun 26 23:34:11 2009  reading algebraic ideals above 6094848
Fri Jun 26 23:34:11 2009  commencing singleton removal, pass 1
Fri Jun 26 23:35:56 2009  relations with 0 large ideals: 212256
Fri Jun 26 23:35:56 2009  relations with 1 large ideals: 1376046
Fri Jun 26 23:35:56 2009  relations with 2 large ideals: 2997314
Fri Jun 26 23:35:56 2009  relations with 3 large ideals: 2528754
Fri Jun 26 23:35:56 2009  relations with 4 large ideals: 716094
Fri Jun 26 23:35:56 2009  relations with 5 large ideals: 25114
Fri Jun 26 23:35:56 2009  relations with 6 large ideals: 55262
Fri Jun 26 23:35:56 2009  relations with 7+ large ideals: 0
Fri Jun 26 23:35:56 2009  7910840 relations and about 7542439 large ideals
Fri Jun 26 23:35:56 2009  commencing singleton removal, pass 2
Fri Jun 26 23:37:42 2009  found 3526496 singletons
Fri Jun 26 23:37:42 2009  current dataset: 4384344 relations and about 3347379 large ideals
Fri Jun 26 23:37:42 2009  commencing singleton removal, pass 3
Fri Jun 26 23:38:55 2009  found 708171 singletons
Fri Jun 26 23:38:55 2009  current dataset: 3676173 relations and about 2596928 large ideals
Fri Jun 26 23:38:55 2009  commencing singleton removal, pass 4
Fri Jun 26 23:40:04 2009  found 188233 singletons
Fri Jun 26 23:40:04 2009  current dataset: 3487940 relations and about 2404927 large ideals
Fri Jun 26 23:40:04 2009  commencing singleton removal, final pass
Fri Jun 26 23:41:13 2009  memory use: 53.4 MB
Fri Jun 26 23:41:13 2009  commencing in-memory singleton removal
Fri Jun 26 23:41:13 2009  begin with 3487940 relations and 2532650 unique ideals
Fri Jun 26 23:41:17 2009  reduce to 3111783 relations and 2149870 ideals in 14 passes
Fri Jun 26 23:41:17 2009  max relations containing the same ideal: 37
Fri Jun 26 23:41:18 2009  reading rational ideals above 720000
Fri Jun 26 23:41:18 2009  reading algebraic ideals above 720000
Fri Jun 26 23:41:18 2009  commencing singleton removal, final pass
Fri Jun 26 23:42:25 2009  keeping 2757965 ideals with weight <= 20, new excess is 296631
Fri Jun 26 23:42:30 2009  memory use: 91.6 MB
Fri Jun 26 23:42:30 2009  commencing in-memory singleton removal
Fri Jun 26 23:42:30 2009  begin with 3123556 relations and 2757965 unique ideals
Fri Jun 26 23:42:35 2009  reduce to 3089558 relations and 2666631 ideals in 13 passes
Fri Jun 26 23:42:35 2009  max relations containing the same ideal: 20
Fri Jun 26 23:42:38 2009  removing 321434 relations and 282016 ideals in 39418 cliques
Fri Jun 26 23:42:38 2009  commencing in-memory singleton removal
Fri Jun 26 23:42:38 2009  begin with 2768124 relations and 2666631 unique ideals
Fri Jun 26 23:42:41 2009  reduce to 2746885 relations and 2363049 ideals in 7 passes
Fri Jun 26 23:42:41 2009  max relations containing the same ideal: 20
Fri Jun 26 23:42:43 2009  removing 240115 relations and 200697 ideals in 39418 cliques
Fri Jun 26 23:42:43 2009  commencing in-memory singleton removal
Fri Jun 26 23:42:43 2009  begin with 2506770 relations and 2363049 unique ideals
Fri Jun 26 23:42:45 2009  reduce to 2492837 relations and 2148206 ideals in 7 passes
Fri Jun 26 23:42:45 2009  max relations containing the same ideal: 20
Fri Jun 26 23:42:47 2009  relations with 0 large ideals: 13137
Fri Jun 26 23:42:47 2009  relations with 1 large ideals: 106816
Fri Jun 26 23:42:47 2009  relations with 2 large ideals: 367021
Fri Jun 26 23:42:47 2009  relations with 3 large ideals: 664916
Fri Jun 26 23:42:47 2009  relations with 4 large ideals: 697372
Fri Jun 26 23:42:47 2009  relations with 5 large ideals: 436442
Fri Jun 26 23:42:47 2009  relations with 6 large ideals: 165605
Fri Jun 26 23:42:47 2009  relations with 7+ large ideals: 41528
Fri Jun 26 23:42:47 2009  commencing 2-way merge
Fri Jun 26 23:42:50 2009  reduce to 1533730 relation sets and 1189099 unique ideals
Fri Jun 26 23:42:50 2009  commencing full merge
Fri Jun 26 23:43:13 2009  memory use: 103.6 MB
Fri Jun 26 23:43:14 2009  found 759285 cycles, need 713299
Fri Jun 26 23:43:14 2009  weight of 713299 cycles is about 50132409 (70.28/cycle)
Fri Jun 26 23:43:14 2009  distribution of cycle lengths:
Fri Jun 26 23:43:14 2009  1 relations: 81341
Fri Jun 26 23:43:14 2009  2 relations: 80416
Fri Jun 26 23:43:14 2009  3 relations: 79712
Fri Jun 26 23:43:14 2009  4 relations: 73116
Fri Jun 26 23:43:14 2009  5 relations: 67623
Fri Jun 26 23:43:14 2009  6 relations: 59640
Fri Jun 26 23:43:14 2009  7 relations: 52283
Fri Jun 26 23:43:14 2009  8 relations: 44735
Fri Jun 26 23:43:14 2009  9 relations: 38808
Fri Jun 26 23:43:14 2009  10+ relations: 135625
Fri Jun 26 23:43:14 2009  heaviest cycle: 18 relations
Fri Jun 26 23:43:14 2009  commencing cycle optimization
Fri Jun 26 23:43:16 2009  start with 4176779 relations
Fri Jun 26 23:43:27 2009  pruned 122566 relations
Fri Jun 26 23:43:27 2009  memory use: 108.8 MB
Fri Jun 26 23:43:27 2009  distribution of cycle lengths:
Fri Jun 26 23:43:27 2009  1 relations: 81341
Fri Jun 26 23:43:27 2009  2 relations: 82483
Fri Jun 26 23:43:27 2009  3 relations: 83177
Fri Jun 26 23:43:27 2009  4 relations: 75664
Fri Jun 26 23:43:27 2009  5 relations: 69884
Fri Jun 26 23:43:27 2009  6 relations: 60818
Fri Jun 26 23:43:27 2009  7 relations: 53164
Fri Jun 26 23:43:27 2009  8 relations: 44844
Fri Jun 26 23:43:27 2009  9 relations: 38867
Fri Jun 26 23:43:27 2009  10+ relations: 123057
Fri Jun 26 23:43:27 2009  heaviest cycle: 18 relations
Fri Jun 26 23:43:28 2009  RelProcTime: 517
Fri Jun 26 23:43:28 2009  
Fri Jun 26 23:43:28 2009  commencing linear algebra
Fri Jun 26 23:43:28 2009  read 713299 cycles
Fri Jun 26 23:43:30 2009  cycles contain 2252275 unique relations
Fri Jun 26 23:44:06 2009  read 2252275 relations
Fri Jun 26 23:44:10 2009  using 20 quadratic characters above 134214012
Fri Jun 26 23:44:24 2009  building initial matrix
Fri Jun 26 23:45:01 2009  memory use: 262.0 MB
Fri Jun 26 23:45:02 2009  read 713299 cycles
Fri Jun 26 23:45:04 2009  matrix is 713058 x 713299 (201.5 MB) with weight 67363351 (94.44/col)
Fri Jun 26 23:45:04 2009  sparse part has weight 47840390 (67.07/col)
Fri Jun 26 23:45:19 2009  filtering completed in 3 passes
Fri Jun 26 23:45:19 2009  matrix is 709979 x 710179 (201.1 MB) with weight 67172917 (94.59/col)
Fri Jun 26 23:45:19 2009  sparse part has weight 47741684 (67.22/col)
Fri Jun 26 23:45:21 2009  read 710179 cycles
Fri Jun 26 23:45:22 2009  matrix is 709979 x 710179 (201.1 MB) with weight 67172917 (94.59/col)
Fri Jun 26 23:45:22 2009  sparse part has weight 47741684 (67.22/col)
Fri Jun 26 23:45:22 2009  saving the first 48 matrix rows for later
Fri Jun 26 23:45:23 2009  matrix is 709931 x 710179 (194.0 MB) with weight 53262504 (75.00/col)
Fri Jun 26 23:45:23 2009  sparse part has weight 46602145 (65.62/col)
Fri Jun 26 23:45:23 2009  matrix includes 64 packed rows
Fri Jun 26 23:45:23 2009  using block size 65536 for processor cache size 3072 kB
Fri Jun 26 23:45:29 2009  commencing Lanczos iteration
Fri Jun 26 23:45:29 2009  memory use: 191.5 MB
Sat Jun 27 01:00:51 2009  lanczos halted after 11229 iterations (dim = 709931)
Sat Jun 27 01:00:53 2009  recovered 32 nontrivial dependencies
Sat Jun 27 01:00:53 2009  BLanczosTime: 4645
Sat Jun 27 01:00:53 2009  
Sat Jun 27 01:00:53 2009  commencing square root phase
Sat Jun 27 01:00:53 2009  reading relations for dependency 1
Sat Jun 27 01:00:54 2009  read 354935 cycles
Sat Jun 27 01:00:55 2009  cycles contain 1379817 unique relations
Sat Jun 27 01:01:45 2009  read 1379817 relations
Sat Jun 27 01:01:53 2009  multiplying 1124500 relations
Sat Jun 27 01:05:21 2009  multiply complete, coefficients have about 49.76 million bits
Sat Jun 27 01:05:22 2009  initial square root is modulo 13925531
Sat Jun 27 01:09:52 2009  sqrtTime: 539
Sat Jun 27 01:09:52 2009  prp56 factor: 58503555637351580708422043524842421283873937516824943479
Sat Jun 27 01:09:52 2009  prp67 factor: 5751563245817234489103450552093888364306272232411751491982339846761
Sat Jun 27 01:09:52 2009  elapsed time 01:38:35
total time ~ 56 hours 40 minutes

Msieve v. 1.42 / GGNFS

Intel Core 2 Duo @ 2.1 GHz / Windows Vista 32bit

1024710469124410051050757031425354219511016431038885586173749091376425564374404130797657836041892354274805025579745390296029587604832789720662219887792512681962125737<166>

4840591880169166213085470327<28>
211691151514429896660769178295263694791289185531220177711932718691581543566221485464975234795208195314453290424266620986638735069610692831<138>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3938707912
Step 1 took 9141ms
Step 2 took 9192ms
********** Factor found in step 2: 4840591880169166213085470327
Found probable prime factor of 28 digits: 4840591880169166213085470327
Probable prime cofactor has 138 digits

GMP-ECM 6.2.2

662348232563240216381082202343231208457829705717521226258626529395005147486168435763870879704167491954649806293319867921554044910233756091059227422591489106774101808867<168>

86789259459874217839264685688188154192679<41>
7631684343031726406757366754928453691115176195481211178805136879604074853303108233171134082633899949190405882376576645263692773<127>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=463764490
Step 1 took 28874ms
Step 2 took 9717ms
********** Factor found in step 2: 86789259459874217839264685688188154192679
Found probable prime factor of 41 digits: 86789259459874217839264685688188154192679
Probable prime cofactor 7631684343031726406757366754928453691115176195481211178805136879604074853303108233171134082633899949190405882376576645263692773 has 127 digits

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

Core-i5. 3.4 GHz, OpenSUSE

7680899532641293466262575275523658378863764757620130199161263287250279947439788389517910359319423427637746310610134996040561582015679423422576823107<148>

316337110404787322260442929286567<33>
24280741272539150477959519296127039083963060012467775306321450629307336526410616631121968182054636945330923198095621<116>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2071500620
Step 1 took 7669ms
Step 2 took 8472ms
********** Factor found in step 2: 316337110404787322260442929286567
Found probable prime factor of 33 digits: 316337110404787322260442929286567
Probable prime cofactor has 116 digits

GMP-ECM 6.2.2

2114260008996851102114260008996851102114260008996851102114260008996851102114260008996851102114260008996851102114260008996851102114260008996851102114260008996851102114260008996851102114260009<190>

157199391414811481308413123039831010800549348549055356443631902777496014250523799578529659<90>
13449543220035923396736531400707244067808735111856700550761352132101359599419084915660120869479028651<101>

Number: 52223_191
N=2114260008996851102114260008996851102114260008996851102114260008996851102114260008996851102114260008996851102114260008996851102114260008996851102114260008996851102114260008996851102114260009
  ( 190 digits)
SNFS difficulty: 193 digits.
Divisors found:
 r1=157199391414811481308413123039831010800549348549055356443631902777496014250523799578529659
 r2=13449543220035923396736531400707244067808735111856700550761352132101359599419084915660120869479028651
Version: 
Total time: 619.85 hours.
Scaled time: 1242.18 units (timescale=2.004).
Factorization parameters were as follows:
n: 2114260008996851102114260008996851102114260008996851102114260008996851102114260008996851102114260008996851102114260008996851102114260008996851102114260008996851102114260008996851102114260009
m: 200000000000000000000000000000000000000
deg: 5
c5: 235
c0: 112
skew: 0.86
type: snfs
lss: 1
rlim: 11900000
alim: 11900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11900000/11900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5950000, 12350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2061084 x 2061332
Total sieving time: 619.85 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,193,5,0,0,0,0,0,0,0,0,11900000,11900000,28,28,55,55,2.5,2.5,100000
total time: 619.85 hours.
 --------- CPU info (if available) ----------

392181276941113783245697940088761885012377582160210123052885746157659802184402234783455877417421130515546557478572397044802566392179083985339257250931649487185259358664997<171>

62301919539099059404009531390485567291230150693<47>
13057108380357384490354879035695747799877667375872701611<56>
482101429986335978505038288663714229689166086589331455512030422881539<69>

392181276941113783245697940088761885012377582160210123052885746157659802184402234783455877417421130515546557478572397044802566392179083985339257250931649487185259358664997=62301919539099059404009531390485567291230150693*13057108380357384490354879035695747799877667375872701611*482101429986335978505038288663714229689166086589331455512030422881539

cado polynomial
n: 392181276941113783245697940088761885012377582160210123052885746157659802184402234783455877417421130515546557478572397044802566392179083985339257250931649487185259358664997
skew: 0.27
type: snfs
c0: 7
c5: 4700
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 4700*x^5+7
# g(x) = -x+100000000000000000000000000000000000000

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: 62301919539099059404009531390485567291230150693 13057108380357384490354879035695747799877667375872701611 482101429986335978505038288663714229689166086589331455512030422881539
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: 5/2.10642
Info:Generate Free Relations: Total cpu/real time for freerel: 103.35/26.5583
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 30521954
Info:Lattice Sieving: Average J: 1895.02 for 4199268 special-q, max bucket fill -bkmult 1.0,1s:1.130220
Info:Lattice Sieving: Total time: 971656s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 58.51/148.093
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 146.99999999999997s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 525.5/534.172
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 467.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 456.4/544.097
Info:Filtering - Merging: Merged matrix has 2693679 rows and total weight 462920155 (171.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 378.94/109.584
Info:Filtering - Merging: Total cpu/real time for replay: 103.68/91.5709
Info:Linear Algebra: Total cpu/real time for bwc: 129517/33088.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 21183.63, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (84480 iterations)
Info:Linear Algebra: Lingen CPU time 551.05, WCT time 159.54
Info:Linear Algebra: Mksol: WCT time 11457.05, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (42496 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 93.55/39.6371
Info:Square Root: Total cpu/real time for sqrt: 821.62/259.572
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.93417e+06/96501.7
Info:root: Cleaning up computation data in /tmp/cado.y4j2x5iz
62301919539099059404009531390485567291230150693 13057108380357384490354879035695747799877667375872701611 482101429986335978505038288663714229689166086589331455512030422881539

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)

1624722389523399828043595125130484644425963577835363151624918075220481108987769453839633208843<94>

4220483980270647555621065653971504476779218067<46>
384961155431091348987210023432906809484810914729<48>

Sun Mar 15 13:30:35 2009  Msieve v. 1.39
Sun Mar 15 13:30:35 2009  random seeds: 2a5d9f80 e0541b20
Sun Mar 15 13:30:35 2009  factoring 1624722389523399828043595125130484644425963577835363151624918075220481108987769453839633208843 (94 digits)
Sun Mar 15 13:30:36 2009  searching for 15-digit factors
Sun Mar 15 13:30:38 2009  commencing quadratic sieve (94-digit input)
Sun Mar 15 13:30:38 2009  using multiplier of 43
Sun Mar 15 13:30:38 2009  using 32kb Intel Core sieve core
Sun Mar 15 13:30:38 2009  sieve interval: 36 blocks of size 32768
Sun Mar 15 13:30:38 2009  processing polynomials in batches of 6
Sun Mar 15 13:30:38 2009  using a sieve bound of 1987889 (74118 primes)
Sun Mar 15 13:30:38 2009  using large prime bound of 256437681 (27 bits)
Sun Mar 15 13:30:38 2009  using double large prime bound of 1368255814560987 (42-51 bits)
Sun Mar 15 13:30:38 2009  using trial factoring cutoff of 51 bits
Sun Mar 15 13:30:38 2009  polynomial 'A' values have 12 factors
Sun Mar 15 16:13:11 2009  74514 relations (18880 full + 55634 combined from 1019526 partial), need 74214
Sun Mar 15 16:13:13 2009  begin with 1038406 relations
Sun Mar 15 16:13:13 2009  reduce to 189554 relations in 9 passes
Sun Mar 15 16:13:14 2009  attempting to read 189554 relations
Sun Mar 15 16:13:17 2009  recovered 189554 relations
Sun Mar 15 16:13:17 2009  recovered 171469 polynomials
Sun Mar 15 16:13:17 2009  attempting to build 74514 cycles
Sun Mar 15 16:13:17 2009  found 74514 cycles in 5 passes
Sun Mar 15 16:13:17 2009  distribution of cycle lengths:
Sun Mar 15 16:13:17 2009     length 1 : 18880
Sun Mar 15 16:13:17 2009     length 2 : 13503
Sun Mar 15 16:13:17 2009     length 3 : 12691
Sun Mar 15 16:13:17 2009     length 4 : 10168
Sun Mar 15 16:13:17 2009     length 5 : 7464
Sun Mar 15 16:13:17 2009     length 6 : 4933
Sun Mar 15 16:13:17 2009     length 7 : 3032
Sun Mar 15 16:13:17 2009     length 9+: 3843
Sun Mar 15 16:13:17 2009  largest cycle: 19 relations
Sun Mar 15 16:13:17 2009  matrix is 74118 x 74514 (19.6 MB) with weight 4839013 (64.94/col)
Sun Mar 15 16:13:17 2009  sparse part has weight 4839013 (64.94/col)
Sun Mar 15 16:13:19 2009  filtering completed in 3 passes
Sun Mar 15 16:13:19 2009  matrix is 69918 x 69981 (18.5 MB) with weight 4557257 (65.12/col)
Sun Mar 15 16:13:19 2009  sparse part has weight 4557257 (65.12/col)
Sun Mar 15 16:13:19 2009  saving the first 48 matrix rows for later
Sun Mar 15 16:13:19 2009  matrix is 69870 x 69981 (12.2 MB) with weight 3653003 (52.20/col)
Sun Mar 15 16:13:19 2009  sparse part has weight 2769154 (39.57/col)
Sun Mar 15 16:13:19 2009  matrix includes 64 packed rows
Sun Mar 15 16:13:19 2009  using block size 27992 for processor cache size 1024 kB
Sun Mar 15 16:13:19 2009  commencing Lanczos iteration
Sun Mar 15 16:13:19 2009  memory use: 11.4 MB
Sun Mar 15 16:13:52 2009  lanczos halted after 1106 iterations (dim = 69866)
Sun Mar 15 16:13:53 2009  recovered 14 nontrivial dependencies
Sun Mar 15 16:13:53 2009  prp46 factor: 4220483980270647555621065653971504476779218067
Sun Mar 15 16:13:53 2009  prp48 factor: 384961155431091348987210023432906809484810914729
Sun Mar 15 16:13:53 2009  elapsed time 02:43:18

580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580247<195>

88041672141117563537626490623780021076406241<44>
6590593970661965054169564166971283042690684645871625375519446864980216578639928402046295639701137885292568800820435274199357754149064405001068545418167<151>

Number: n
N=580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580247
  ( 195 digits)
SNFS difficulty: 196 digits.
Divisors found:

Tue May  5 01:08:55 2009  prp44 factor: 88041672141117563537626490623780021076406241
Tue May  5 01:08:55 2009  prp151 factor: 6590593970661965054169564166971283042690684645871625375519446864980216578639928402046295639701137885292568800820435274199357754149064405001068545418167
Tue May  5 01:08:55 2009  elapsed time 04:52:50 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20050930-k8
Total time: 50.12 hours.
Scaled time: 82.75 units (timescale=1.651).
Factorization parameters were as follows:
name: KA_5_2_194_3
n: 580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580247
m: 1000000000000000000000000000000000000000
deg: 5
c5: 47
c0: 7
skew: 0.68
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
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 [6500000, 17049990)
Primes: RFBsize:849252, AFBsize:848943, largePrimes:22498256 encountered
Relations: rels:25266265, finalFF:1943483
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3587386 hash collisions in 28065747 relations
Msieve: matrix is 1867365 x 1867613 (493.1 MB)

Total sieving time: 49.56 hours.
Total relation processing time: 0.56 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13000000,13000000,28,28,56,56,2.5,2.5,100000
total time: 50.12 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: 3368968k/3407296k available (2747k kernel code, 36968k reserved, 1425k data, 416k init, 2489792k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.99 BogoMIPS (lpj=2830496)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830456)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830453)
Total of 4 processors activated (22643.70 BogoMIPS).

278496978110773129049087487148608703858248983564343071365193184303171869196468538697884506427074267190613544757870519365582890292845215719256496013242502195792154049085763<171>

326550733206218203760684806319276320697740597362168624167545516571957010970721<78>
852844442810976878025644354892539959834017128389662845792502443717997122308599545266496621603<93>

Number: n
N=278496978110773129049087487148608703858248983564343071365193184303171869196468538697884506427074267190613544757870519365582890292845215719256496013242502195792154049085763  ( 171 digits)
SNFS difficulty: 199 digits.
Divisors found:

Mon Mar 29 05:28:11 2021  p78 factor: 326550733206218203760684806319276320697740597362168624167545516571957010970721
Mon Mar 29 05:28:11 2021  p93 factor: 852844442810976878025644354892539959834017128389662845792502443717997122308599545266496621603
Mon Mar 29 05:28:11 2021  elapsed time 01:19:22 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 47x10^198+7 = 52(197)3
#
n: 278496978110773129049087487148608703858248983564343071365193184303171869196468538697884506427074267190613544757870519365582890292845215719256496013242502195792154049085763
m: 1000000000000000000000000000000000000000
deg: 5
c5: 47000
c0: 7
skew: 0.17
# Murphy_E = 1.589e-11
type: snfs
lss: 1
rlim: 14900000
alim: 14900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14900000/14900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4070960 hash collisions in 29839957 relations (27331123 unique)
Msieve: matrix is 1786395 x 1786620 (628.5 MB)

Sieving start time : 2021/03/28 20:54:09
Sieving end time  : 2021/03/29 04:08:16

Total sieving time: 7hrs 14min 7secs.

Total relation processing time: 1hrs 1min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 52sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14900000,14900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119391] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.47 BogoMIPS (lpj=12798944)
[    0.152034] smpboot: Total of 16 processors activated (102391.55 BogoMIPS)

6927309458930501621495443727206004191764771271125648391319924012774320041476213023866872846329980434343561781810095635505759378570299829519194255889971434424381816930060062115029082819391786041<193>

123142648574521611416659182328052011882432615238569727961623522358970300885719226393<84>
56254348425341338404336846361710262434593299471280998405061913095117509208151991259392364187828641332370741537<110>

N=6927309458930501621495443727206004191764771271125648391319924012774320041476213023866872846329980434343561781810095635505759378570299829519194255889971434424381816930060062115029082819391786041
  ( 193 digits)
SNFS difficulty: 202 digits.
Divisors found:
 r1=123142648574521611416659182328052011882432615238569727961623522358970300885719226393 (pp84)
 r2=56254348425341338404336846361710262434593299471280998405061913095117509208151991259392364187828641332370741537 (pp110)
Version: Msieve v. 1.47
Total time:
Scaled time: 308.45 units (timescale=1.102).
Factorization parameters were as follows:
n: 6927309458930501621495443727206004191764771271125648391319924012774320041476213023866872846329980434343561781810095635505759378570299829519194255889971434424381816930060062115029082819391786041
m: 10000000000000000000000000000000000000000
deg: 5
c5: 470
c0: 7
skew: 0.43
type: snfs
lss: 1
rlim: 16700000
alim: 16700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 800000
Factor base limits: 16700000/16700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8350000, 19550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3690630 x 3690858
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,202.000,5,0,0,0,0,0,0,0,0,16700000,16700000,29,29,56,56,2.6,2.6,100000
total time:

31497907801407239688765036790269402907393984912387810272225909108181793027070841093434231423048809106005843678729701142213605249324545610501651554789958658424020281<164>

2302090427273998231573559836732954968889<40>
9049376674246456575887862808585333542278041072119277<52>
1511961256590454526042986901942810567499782780351065445027318888333576677<73>

#
# N = 47x10^203+7 = 52(202)3
#
n: 31497907801407239688765036790269402907393984912387810272225909108181793027070841093434231423048809106005843678729701142213605249324545610501651554789958658424020281
m: 10000000000000000000000000000000000000000
deg: 5
c5: 47000
c0: 7
skew: 0.17
# Murphy_E = 9.816e-12
type: snfs
lss: 1
rlim: 18000000
alim: 18000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 31497907801407239688765036790269402907393984912387810272225909108181793027070841093434231423048809106005843678729701142213605249324545610501651554789958658424020281 (164 digits)
Using B1=37340000, B2=192391008826, polynomial Dickson(12), sigma=1:1956251490
Step 1 took 86755ms
Step 2 took 29213ms
********** Factor found in step 2: 2302090427273998231573559836732954968889
Found prime factor of 40 digits: 2302090427273998231573559836732954968889
Composite cofactor 13682306927754020753205524959659209185752007130285656404203756038490952718936555768707858319165810775961639401911041769302529 has 125 digits


CADO


STA:Sun 29 Aug 2021 08:06:30 AEST (13,682,306,927,754,020,753,205,524,959,659,209,185,752,007,130,285,656,404,203,756,038,490,952,718,936,555,768,707,858,319,165,810,775,961,639,401,911,041,769,302,529 - C125)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 13682306927754020753205524959659209185752007130285656404203756038490952718936555768707858319165810775961639401911041769302529 2>&1 | tee -a log50

Debug:root: Looking for parameter file for c125 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.6sczir6l
Info:Database: Opened connection to database /tmp/cado.6sczir6l/c125.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1368230692775402075320552495965920918575200713028565640420375603849095271893655576870
7858319165810775961639401911041769302529
Debug:root: Root parameter dictionary:
N = 13682306927754020753205524959659209185752007130285656404203756038490952718936555768707858319165810775961639401911041769302529
lim0 = 2377918
lim1 = 9209388
lpb0 = 27
lpb1 = 27
name = c125
...
n: 13682306927754020753205524959659209185752007130285656404203756038490952718936555768707858319165810775961639401911041769302529
skew: 36583.643
c0: 7226185500402344736287453724
c1: -329267749522361248777244
c2: -51566094277243876977
c3: -3475170801239701
c4: 38521276098
c5: 245160
Y0: -802584097083554477195875
Y1: 28493721683269061
# MurphyE (Bf=9.21e+06,Bg=2.38e+06,area=3.09e+14) = 6.31e-10
# f(x) = 245160*x^5+38521276098*x^4-3475170801239701*x^3-51566094277243876977*x^2-329267749522361248777244*x+7226185500402344736287453724
# g(x) = 28493721683269061*x-802584097083554477195875
...
Info:Square Root: Factors: 1511961256590454526042986901942810567499782780351065445027318888333576677 9049376674246456575887862808585333542278041072119277
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 621.35/87.0407
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21528.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21960/37.570/44.193/48.370/0.861
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 21960/35.180/39.919/44.990/1.272
Info:Polynomial Selection (size optimized): Total time: 1765.44
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1110.2
Info:Polynomial Selection (root optimized): Rootsieve time: 1109.27
Info:Generate Factor Base: Total cpu/real time for makefb: 11.61/1.04776
Info:Generate Free Relations: Total cpu/real time for freerel: 149.28/9.99227
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13055036
Info:Lattice Sieving: Average J: 3787.94 for 206062 special-q, max bucket fill: 0.716081
Info:Lattice Sieving: Total CPU time: 145014s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 33.27/39.8333
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 192.43/57.4709
Info:Filtering - Singleton removal: Total cpu/real time for purge: 132.68/51.8161
Info:Filtering - Merging: Total cpu/real time for merge: 252.81/206.771
Info:Filtering - Merging: Total cpu/real time for replay: 22.2/17.0135
Info:Linear Algebra: Total cpu/real time for bwc: 9905.41/0.000349522
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 412.14
Info:Linear Algebra: Lingen CPU time 144.96, WCT time 14.47
Info:Linear Algebra: Mksol: WCT time 224.12
Info:Quadratic Characters: Total cpu/real time for characters: 24.64/5.8251
Info:Square Root: Total cpu/real time for sqrt: 621.35/87.0407
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 159235/10865.5
Info:root: Cleaning up computation data in /tmp/cado.6sczir6l
1511961256590454526042986901942810567499782780351065445027318888333576677 9049376674246456575887862808585333542278041072119277

END:Sun 29 Aug 2021 11:07:36 AEST (13,682,306,927,754,020,753,205,524,959,659,209,185,752,007,130,285,656,404,203,756,038,490,952,718,936,555,768,707,858,319,165,810,775,961,639,401,911,041,769,302,529 - C125)

580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580247<204>

32435427185289642780743836726941466290571494203044552823<56>
17889294636557302013414769601901685301211205126351365730228586586267267345613074310366048610450327741439568237044298792141368152216691075010970173089<149>

Number: n
N=580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580247
  ( 204 digits)
SNFS difficulty: 206 digits.
Divisors found:

Tue Mar 24 14:41:42 2009  prp56 factor: 32435427185289642780743836726941466290571494203044552823
Tue Mar 24 14:41:42 2009  prp149 factor: 17889294636557302013414769601901685301211205126351365730228586586267267345613074310366048610450327741439568237044298792141368152216691075010970173089
Tue Mar 24 14:41:42 2009  elapsed time 25:05:37 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20050930-k8
Total time: 157.28 hours.
Scaled time: 317.07 units (timescale=2.016).
Factorization parameters were as follows:
name: KA_5_2_203_3
n: 580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580247
deg: 5
c5: 47
c0: 70
m: 100000000000000000000000000000000000000000
skew: 1.08
type: snfs
rlim: 12000000
alim: 12000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [6000000, 9099990)
Primes: RFBsize:788060, AFBsize:788074, largePrimes:37054617 encountered
Relations: rels:31751478, finalFF:79075
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9063074 hash collisions in 46888137 relations
Msieve: matrix is 3779800 x 3780048 (1027.0 MB)

Total sieving time: 156.12 hours.
Total relation processing time: 1.15 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,12000000,12000000,29,29,58,58,2.5,2.5,100000
total time: 157.28 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: 3368976k/3407296k available (2745k kernel code, 36940k reserved, 1424k data, 412k init, 2489792k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.99 BogoMIPS (lpj=2830498)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830454)
Total of 4 processors activated (22643.71 BogoMIPS).

3200437463719957930275703053961819318110323353872555864563594813291289396731173142282161181585683854766616262210409398774142479105544968298178035796759357749221773318437406047<175>

284238995958232289875219244783546023<36>

11259670591399951988423906980418743870152064233210205412548620942463158574753088662256957542656017523492471216163639811114712881940177470089<140>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3504717101
Step 1 took 9282ms
Step 2 took 6412ms
********** Factor found in step 2: 284238995958232289875219244783546023
Found probable prime factor of 36 digits: 284238995958232289875219244783546023
Composite cofactor 11259670591399951988423906980418743870152064233210205412548620942463158574753088662256957542656017523492471216163639811114712881940177470089 has 140 digits

GMP-ECM 6.3

11259670591399951988423906980418743870152064233210205412548620942463158574753088662256957542656017523492471216163639811114712881940177470089<140>

350372112369949924916963785467839720747244716465535322640581818882049<69>
32136320768335359216805408556338915983892902656489998626609124927629961<71>

N = 11259670591399951988423906980418743870152064233210205412548620942463158574753088662256957542656017523492471216163639811114712881940177470089 (140 digits)
Divisors found:
r1=350372112369949924916963785467839720747244716465535322640581818882049 (pp69)
r2=32136320768335359216805408556338915983892902656489998626609124927629961 (pp71)
Version: Msieve v. 1.45
Total time: 419.14 hours.
Factorization parameters were as follows:
n: 11259670591399951988423906980418743870152064233210205412548620942463158574753088662256957542656017523492471216163639811114712881940177470089
Y0: -1037640148148977927471195722
Y1: 2571556993178621
c0: 939579137281912464177498654484487855
c1: -1668251940782379038132647597951
c2: -470129879323766573550155
c3: 1153598430420207403
c4: 139153929912
c5: 9360
skew: 2457291.10
type: gnfs
Factor base limits: 12200000/12200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23228644
Relations: 3501410 relations
Pruned matrix : 2112191 x 2112439
Polynomial selection time: 0.00 hours.
Total sieving time: 410.01 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 8.14 hours.
time per square root: 0.79 hours.
Prototype def-par.txt line would be: gnfs,139,5,67,2000,5e-06,0.28,250,20,50000,3600,12200000,12200000,28,28,56,56,2.5,2.5,100000
total time: 419.14 hours.

2519355948910267384737815578654694757636493274862991821000063293317979904134370551489876326317312657721603806420745376530319198769390993863770815304907023684366706171939160018379301168250932316227<196>

8523173307555664701645431849377075294339<40>
295588961763442766105172333913897590333899062311382469863682787059356866134330986861628450713251391884808086178304852378156400091484551722184354130402819393<156>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3895325455
Step 1 took 12043ms
Step 2 took 7020ms
********** Factor found in step 2: 8523173307555664701645431849377075294339
Found probable prime factor of 40 digits: 8523173307555664701645431849377075294339
Probable prime cofactor 295588961763442766105172333913897590333899062311382469863682787059356866134330986861628450713251391884808086178304852378156400091484551722184354130402819393 has 156 digits

GMP-ECM 6.3

487928646152415566341866620491235756272162993704132883993035595896397699872239903686110692812850723389705161454663736156909183643725143556388377872693867484506218078441001240909240297<183>

46985767565426344297706140522459416426455397951819344911742413495908127<71>
10384605199286971553195718899440102294802050398903403861574864148849733424113110629942689827747913842752997406711<113>

Number: n
N=487928646152415566341866620491235756272162993704132883993035595896397699872239903686110692812850723389705161454663736156909183643725143556388377872693867484506218078441001240909240297
  ( 183 digits)
SNFS difficulty: 208 digits.
Divisors found:

Tue Sep 24 16:30:14 2024  prp71 factor: 46985767565426344297706140522459416426455397951819344911742413495908127
Tue Sep 24 16:30:14 2024  prp113 factor: 10384605199286971553195718899440102294802050398903403861574864148849733424113110629942689827747913842752997406711
Tue Sep 24 16:30:14 2024  elapsed time 04:54:59 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.144).
Factorization parameters were as follows:
#
# N = 47x10^207+7 = 52(206)3
#
n: 487928646152415566341866620491235756272162993704132883993035595896397699872239903686110692812850723389705161454663736156909183643725143556388377872693867484506218078441001240909240297
m: 100000000000000000000000000000000000000000
deg: 5
c5: 4700
c0: 7
skew: 0.27
# Murphy_E = 5.242e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 27
lpba: 27
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0: 50000
qintsize: 50000
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 57/57
Sieved  special-q in [50000, 77650000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8178466 hash collisions in 26159924 relations (15878389 unique)
Msieve: matrix is 2969020 x 2969245 (835.1 MB)

Sieving start time: 2024/09/22 18:11:00
Sieving end time  : 2024/09/24 11:29:09

Total sieving time: 41hrs 18min 9secs.

Total relation processing time: 4hrs 41min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 17sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,27,27,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

6272188111715754300130439295038402081327920881970051258630405334705300716131855130560790682230105907769978265590468553201774682036012188829413722105362004302575085938409354733247288176367<187>

6670201504474167515176613687682934622535120523282019742805857360530957917331137593826336242993022505150598326512576865752327081806185376914687196025523818410383151290122913633880379691541754051450945587563<205>

291230697285063871998046156163002083409965356715130356559<57>
2076501340993422563439195874739742203039466808158776642223533<61>
11029849536414591931268551652797539081872616655467292399589143403767141590219662665994329<89>

Number: n
N=6670201504474167515176613687682934622535120523282019742805857360530957917331137593826336242993022505150598326512576865752327081806185376914687196025523818410383151290122913633880379691541754051450945587563  ( 205 digits)
SNFS difficulty: 213 digits.
Divisors found:

Wed Jul 22 03:55:51 2020  found factor: 11029849536414591931268551652797539081872616655467292399589143403767141590219662665994329
Wed Jul 22 04:03:45 2020  p57 factor: 291230697285063871998046156163002083409965356715130356559
Wed Jul 22 04:03:45 2020  p61 factor: 2076501340993422563439195874739742203039466808158776642223533
Wed Jul 22 04:03:45 2020  p89 factor: 11029849536414591931268551652797539081872616655467292399589143403767141590219662665994329
Wed Jul 22 04:03:45 2020  elapsed time 05:27:20 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.067).
Factorization parameters were as follows:
#
# N = 47x10^212+7 = 52(211)3
#
n: 6670201504474167515176613687682934622535120523282019742805857360530957917331137593826336242993022505150598326512576865752327081806185376914687196025523818410383151290122913633880379691541754051450945587563
m: 100000000000000000000000000000000000
deg: 6
c6: 4700
c0: 7
skew: 0.34
# Murphy_E = 3.863e-12
type: snfs
lss: 1
rlim: 25000000
alim: 25000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 25000000/25000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 74100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10418764 hash collisions in 61711053 relations (53607465 unique)
Msieve: matrix is 3445314 x 3445539 (1205.8 MB)

Sieving start time: 2020/07/20 10:53:33
Sieving end time  : 2020/07/21 22:35:28

Total sieving time: 35hrs 41min 55secs.

Total relation processing time: 4hrs 52min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 15min 43sec.

Prototype def-par.txt line would be:
snfs,213,6,0,0,0,0,0,0,0,0,25000000,25000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149875] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283136K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2720K bss, 420324K reserved, 0K cma-reserved)
[    0.184729] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.29 BogoMIPS (lpj=11976592)
[    0.182226] smpboot: Total of 16 processors activated (95812.73 BogoMIPS)

61944061227151141198775166575882472275057046262186257581095425019237251076709730073188109434916771533832365209082741559074452217786222311391312337375921568978423830577365182602773204729331451767347217<200>

18372800179492374725220546955543649<35>
1995725684575842465329645018899783577<37>

1689364941130111068278661443243064128752571450658488600279273050171016149179793145841208632559271183413472582544222357144398893529<130>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2665801028
Step 1 took 12199ms
Step 2 took 7051ms
********** Factor found in step 2: 1995725684575842465329645018899783577
Found probable prime factor of 37 digits: 1995725684575842465329645018899783577
Composite cofactor 31038364493623429696246236107328150932539730228862270117565067892044932599813101982399297051011624705183182932087802271286968306962503681921349266037385468263147321 has 164 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3128697277
Step 1 took 7083ms
Step 2 took 5678ms
********** Factor found in step 2: 18372800179492374725220546955543649
Found probable prime factor of 35 digits: 18372800179492374725220546955543649
Composite cofactor 1689364941130111068278661443243064128752571450658488600279273050171016149179793145841208632559271183413472582544222357144398893529 has 130 digits

GMP-ECM 6.3

1689364941130111068278661443243064128752571450658488600279273050171016149179793145841208632559271183413472582544222357144398893529<130>

2753368147550995227111009423734478475983930466201<49>
613563043733446938743069812897144960966265302093204523200502574258997698424433729<81>

N = 1689364941130111068278661443243064128752571450658488600279273050171016149179793145841208632559271183413472582544222357144398893529 (130 digits)
Divisors found:
r1=2753368147550995227111009423734478475983930466201 (pp49)
r2=613563043733446938743069812897144960966265302093204523200502574258997698424433729 (pp81)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 24.07 hours.
Factorization parameters were as follows:
n: 1689364941130111068278661443243064128752571450658488600279273050171016149179793145841208632559271183413472582544222357144398893529
Y0: -11671439385648252792620775
Y1: 115784455593841
c0: 260297074427903462718083028144704
c1: 2840531255206164716888009356
c2: -6038039000544892104084
c3: -18179872770894559
c4: 12274872442
c5: 7800
skew: 723167.07 
type: gnfs
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19808676
Relations: 2497680 relations
Pruned matrix : 1403668 x 1403894
Polynomial selection time: 0.00 hours.
Total sieving time: 22.37 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.53 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,7200000,7200000,28,28,55,55,2.5,2.5,100000
total time: 24.07 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

628479200681431916313314265006946700952212848521803548099385293854142012229937807302928311918238867560711759380720665064713299823357228914857114585130182111877320860026984489935641055470644003974128051968543947411<213>

11328300905624913520047201268769<32>

55478681747354462422358878278646500614678283104662907873900540103453090956916694500918536432508719049491347632355905391572325451041498953863570795277884750302461336896769321567623219<182>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3702127202
Step 1 took 14368ms
Step 2 took 7847ms
********** Factor found in step 2: 11328300905624913520047201268769
Found probable prime factor of 32 digits: 11328300905624913520047201268769
Composite cofactor 55478681747354462422358878278646500614678283104662907873900540103453090956916694500918536432508719049491347632355905391572325451041498953863570795277884750302461336896769321567623219 has 182 digits

GMP-ECM 6.3

15625354350162643697476402663378830738401521117461563542652068154508020581191161731337756152492545773569429940176879438977616054949431877889114685005045932363<158>

896787744753908653514905151501<30>
867236418223310309806799712860668041453365281041269<51>
20091053181363892081628257939272017751017939839077278250324527844866821714427<77>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1839716254
Step 1 took 7800ms
Step 2 took 5569ms
********** Factor found in step 2: 896787744753908653514905151501
Found probable prime factor of 30 digits: 896787744753908653514905151501
Composite cofactor 17423692999340065433685113742818184996572375193295081257607390760064478129263846946226978953881977299569161501274907474319687863 has 128 digits

N = 17423692999340065433685113742818184996572375193295081257607390760064478129263846946226978953881977299569161501274907474319687863 (128 digits)
Divisors found:
r1=867236418223310309806799712860668041453365281041269 (pp51)
r2=20091053181363892081628257939272017751017939839077278250324527844866821714427 (pp77)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 20.59 hours.
Factorization parameters were as follows:
n: 17423692999340065433685113742818184996572375193295081257607390760064478129263846946226978953881977299569161501274907474319687863
Y0: -6771295069313966787539191
Y1: 41433755821301
c0: 53061727831100143293599865331200
c1: -107885203633102111653752604
c2: -681785027274763018736
c3: -443984832711205
c4: 44363334
c5: 1224
skew: 657640.65 
type: gnfs
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19192099
Relations: 2207748 relations
Pruned matrix : 1230784 x 1231017
Polynomial selection time: 0.00 hours.
Total sieving time: 18.66 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.38 hours.
time per square root: 0.45 hours.
Prototype def-par.txt line would be: gnfs,127,5,65,2000,1e-05,0.28,250,20,50000,3600,6400000,6400000,28,28,55,55,2.5,2.5,100000
total time: 20.59 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

GMP-ECM 6.3

2954038077628927026339647876492973339870424826449437829811208067662487485176102175975682345475520180008844790488578601575358824903766192775103871736246558418451574238889839039371<178>

111259157616925438445058433847265289403004444510966396495785981995417182372197<78>
26550965699380239516912626550622819204180734602243902090206323175390076356137098958218817940071901743<101>

Number: 52223_219
N = 2954038077628927026339647876492973339870424826449437829811208067662487485176102175975682345475520180008844790488578601575358824903766192775103871736246558418451574238889839039371 (178 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=111259157616925438445058433847265289403004444510966396495785981995417182372197 (pp78)
r2=26550965699380239516912626550622819204180734602243902090206323175390076356137098958218817940071901743 (pp101)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 85.31 hours.
Factorization parameters were as follows:
n: 2954038077628927026339647876492973339870424826449437829811208067662487485176102175975682345475520180008844790488578601575358824903766192775103871736246558418451574238889839039371
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 47
c0: 70
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: 8807852 relations
Pruned matrix : 7489641 x 7489866
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 40.65 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 43.50 hours.
time per square root: 0.76 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 85.31 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

481240811388412298076080082661394573760886688437957396943424180427843191600556497150317167587480068164767713921326379923584749463077084359860895937131270748283468006309885176578314379961947990021<195>

149254405164763057521233478909082271043232110921223834313<57>
21844467980303007385398165252127627540030300277057963162108595481097<68>
147602536384834383821971130211248402453829284787453343835965183582107061<72>

Number: 52223_221
N = 481240811388412298076080082661394573760886688437957396943424180427843191600556497150317167587480068164767713921326379923584749463077084359860895937131270748283468006309885176578314379961947990021 (195 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=149254405164763057521233478909082271043232110921223834313 (pp57)
r2=21844467980303007385398165252127627540030300277057963162108595481097 (pp68)
r3=147602536384834383821971130211248402453829284787453343835965183582107061 (pp72)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 64.38 hours.
Factorization parameters were as follows:
n: 481240811388412298076080082661394573760886688437957396943424180427843191600556497150317167587480068164767713921326379923584749463077084359860895937131270748283468006309885176578314379961947990021
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 470
c0: 7
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: 7480532 relations
Pruned matrix : submatrix x not
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 37.23 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 26.30 hours.
time per square root: 0.42 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: 64.38 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

3538440983702953071256578663067418026603448828826018622136131034337268113239505253788261390198139049594934506430935822105271955375790158199539061654158128332120586391940920018660848935739647<190>

11894230211287549232148019170488154941<38>
297492222770751062187326763439509486444323779215558899368456972514720362021194748417227276173904334206151229706070314661288655693173245056893382812434667<153>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=867580602
Step 1 took 26414ms
Step 2 took 9543ms
********** Factor found in step 2: 11894230211287549232148019170488154941
Found probable prime factor of 38 digits: 11894230211287549232148019170488154941

52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<224>

4102058898481061157807163435083098827153789435503116072150624741851963<70>
174188826146171748291529840158359571783709916678095662607122051420741667<72>
73085826774625381233795544513181611618713006475953191665880699272119310860056636063<83>

N=52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223
  ( 224 digits)
SNFS difficulty: 224 digits.
Divisors found:
 r1=4102058898481061157807163435083098827153789435503116072150624741851963 (pp70)
 r2=174188826146171748291529840158359571783709916678095662607122051420741667 (pp72)
 r3=73085826774625381233795544513181611618713006475953191665880699272119310860056636063 (pp83)
Version: Msieve v. 1.51 (SVN Unversioned directory)
Total time:
Scaled time: 291.05 units (timescale=1.844).
Factorization parameters were as follows:
n: 52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223
m: 10000000000000000000000000000000000000
deg: 6
c6: 470
c0: 7
skew: 0.50
# Murphy_E = 1.346e-12
type: snfs
lss: 1
rlim: 39000000
alim: 39000000
lpbr: 29
lpba: 29
mfbr: 59
mfba: 59
rlambda: 2.6
alambda: 2.6
qintsize: 240000
Factor base limits: 39000000/39000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 59/59
Sieved rational special-q in [19500000, 113820001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 8244107 x 8244335
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,224.000,6,0,0,0,0,0,0,0,0,39000000,39000000,29,29,59,59,2.6,2.6,100000
total time:

843036685054218293497767666276566025962327093873418052578536665484654920528958004795130463751359827450104962641797626297348411732124097090015234409600903419447905576006554896266594181<183>

16996431345963026564886989471543<32>
49600805480525500288791913604955128303333317759765819623568033719069327527760720032002431812790974550219593060626095102346685042519711987291949703525667<152>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2840914409
Step 1 took 10608ms
Step 2 took 6334ms
********** Factor found in step 2: 16996431345963026564886989471543
Found probable prime factor of 32 digits: 16996431345963026564886989471543
Probable prime cofactor 49600805480525500288791913604955128303333317759765819623568033719069327527760720032002431812790974550219593060626095102346685042519711987291949703525667 has 152 digits

GMP-ECM 6.3

3008886218899852588910291466152664641649899233028503847861086737850397611751972776555808498148760244642501163417953236153072195145592559386015979138784753563976142328786891830205530027992646187<193>

36763777195319423414133167463829877758733801<44>

81843772551285307931113455747955907946145125206241491715315491335606740986012211457972707175251048076485992185571801953949992534932420397390726905587<149>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3566166906
Step 1 took 15500ms
Step 2 took 6522ms
********** Factor found in step 2: 36763777195319423414133167463829877758733801
Found probable prime factor of 44 digits: 36763777195319423414133167463829877758733801
Composite cofactor 

81843772551285307931113455747955907946145125206241491715315491335606740986012211457972707175251048076485992185571801953949992534932420397390726905587<149>

20337790962318810700685277389510949407<38>

4024221347486693825701273905584283881438392007324445383080451247438518374930577318961772214158558125985493485741<112>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1980336500
Step 1 took 29297ms
Step 2 took 18875ms
********** Factor found in step 2: 20337790962318810700685277389510949407
Found probable prime factor of 38 digits: 20337790962318810700685277389510949407
Composite cofactor 4024221347486693825701273905584283881438392007324445383080451247438518374930577318961772214158558125985493485741 has 112 digits

GMP-ECM 7.0

4024221347486693825701273905584283881438392007324445383080451247438518374930577318961772214158558125985493485741<112>

82338152229973720425754719349189441243470383<44>
48874321787631136182340093980128009024775309731924689002699339513827<68>

02/07/14 19:47:45 v1.34.3, 
02/07/14 19:47:45 v1.34.3, ****************************
02/07/14 19:47:45 v1.34.3, Starting factorization of 4024221347486693825701273905584283881438392007324445383080451247438518374930577318961772214158558125985493485741
02/07/14 19:47:45 v1.34.3, using pretesting plan: none
02/07/14 19:47:45 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
02/07/14 19:47:45 v1.34.3, ****************************
02/07/14 19:47:45 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C112
02/07/14 19:47:45 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C112
02/07/14 19:47:45 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C112
02/07/14 19:47:45 v1.34.3, final ECM pretested depth: 0.00
02/07/14 19:47:45 v1.34.3, scheduler: switching to sieve method
02/07/14 19:47:45 v1.34.3, nfs: commencing nfs on c112: 4024221347486693825701273905584283881438392007324445383080451247438518374930577318961772214158558125985493485741
02/07/14 19:47:45 v1.34.3, nfs: commencing poly selection with 8 threads
02/07/14 19:47:45 v1.34.3, nfs: setting deadline of 600 seconds
02/07/14 19:57:42 v1.34.3, nfs: completed 142 ranges of size 250 in 596.6209 seconds
02/07/14 19:57:42 v1.34.3, nfs: best poly = # norm 1.278603e-10 alpha -6.004147 e 8.046e-10 rroots 5
02/07/14 19:57:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/07/14 20:03:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
[12 lines snipped]
02/07/14 21:12:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/07/14 21:18:04 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/07/14 21:23:20 v1.34.3, nfs: commencing msieve filtering
02/07/14 21:24:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/07/14 21:29:32 v1.34.3, nfs: commencing msieve filtering
02/07/14 21:30:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/07/14 21:35:44 v1.34.3, nfs: commencing msieve filtering
02/07/14 21:36:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/07/14 21:42:02 v1.34.3, nfs: commencing msieve filtering
02/07/14 21:42:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/07/14 21:48:24 v1.34.3, nfs: commencing msieve filtering
02/07/14 21:49:33 v1.34.3, nfs: commencing msieve linear algebra
02/07/14 21:54:36 v1.34.3, nfs: commencing msieve sqrt
02/07/14 21:55:33 v1.34.3, prp44 = 82338152229973720425754719349189441243470383
02/07/14 21:55:33 v1.34.3, prp68 = 48874321787631136182340093980128009024775309731924689002699339513827
02/07/14 21:55:33 v1.34.3, NFS elapsed time = 7667.7633 seconds.
02/07/14 21:55:33 v1.34.3, 
02/07/14 21:55:33 v1.34.3, 
02/07/14 21:55:33 v1.34.3, Total factoring time = 7667.7972 seconds
--
Fri Feb  7 21:23:20 2014  
Fri Feb  7 21:23:20 2014  commencing relation filtering
Fri Feb  7 21:23:20 2014  estimated available RAM is 15988.7 MB
Fri Feb  7 21:23:20 2014  commencing duplicate removal, pass 1
Fri Feb  7 21:23:35 2014  found 427872 hash collisions in 4616136 relations
Fri Feb  7 21:23:40 2014  added 32436 free relations
Fri Feb  7 21:23:40 2014  commencing duplicate removal, pass 2
Fri Feb  7 21:23:44 2014  found 182259 duplicates and 4466313 unique relations
Fri Feb  7 21:23:44 2014  memory use: 20.6 MB
Fri Feb  7 21:23:44 2014  reading ideals above 100000
Fri Feb  7 21:23:44 2014  commencing singleton removal, initial pass
Fri Feb  7 21:24:04 2014  memory use: 172.2 MB
Fri Feb  7 21:24:04 2014  reading all ideals from disk
Fri Feb  7 21:24:04 2014  memory use: 151.7 MB
Fri Feb  7 21:24:04 2014  keeping 5450783 ideals with weight <= 200, target excess is 24472
Fri Feb  7 21:24:05 2014  commencing in-memory singleton removal
Fri Feb  7 21:24:05 2014  begin with 4466313 relations and 5450783 unique ideals
Fri Feb  7 21:24:06 2014  reduce to 88 relations and 0 ideals in 37 passes
Fri Feb  7 21:24:06 2014  max relations containing the same ideal: 0
Fri Feb  7 21:29:32 2014  
Fri Feb  7 21:29:32 2014  commencing relation filtering
Fri Feb  7 21:29:32 2014  estimated available RAM is 15988.7 MB
Fri Feb  7 21:29:32 2014  commencing duplicate removal, pass 1
Fri Feb  7 21:29:48 2014  found 480866 hash collisions in 4936311 relations
Fri Feb  7 21:29:54 2014  added 68 free relations
Fri Feb  7 21:29:54 2014  commencing duplicate removal, pass 2
Fri Feb  7 21:29:57 2014  found 203597 duplicates and 4732782 unique relations
Fri Feb  7 21:29:57 2014  memory use: 20.6 MB
Fri Feb  7 21:29:57 2014  reading ideals above 100000
Fri Feb  7 21:29:57 2014  commencing singleton removal, initial pass
Fri Feb  7 21:30:19 2014  memory use: 172.2 MB
Fri Feb  7 21:30:19 2014  reading all ideals from disk
Fri Feb  7 21:30:19 2014  memory use: 160.8 MB
Fri Feb  7 21:30:19 2014  keeping 5580329 ideals with weight <= 200, target excess is 25487
Fri Feb  7 21:30:20 2014  commencing in-memory singleton removal
Fri Feb  7 21:30:20 2014  begin with 4732782 relations and 5580329 unique ideals
Fri Feb  7 21:30:22 2014  reduce to 1139593 relations and 1273483 ideals in 30 passes
Fri Feb  7 21:30:22 2014  max relations containing the same ideal: 75
Fri Feb  7 21:35:44 2014  
Fri Feb  7 21:35:44 2014  commencing relation filtering
Fri Feb  7 21:35:44 2014  estimated available RAM is 15988.7 MB
Fri Feb  7 21:35:44 2014  commencing duplicate removal, pass 1
Fri Feb  7 21:36:01 2014  found 533395 hash collisions in 5228815 relations
Fri Feb  7 21:36:06 2014  added 47 free relations
Fri Feb  7 21:36:06 2014  commencing duplicate removal, pass 2
Fri Feb  7 21:36:10 2014  found 226727 duplicates and 5002135 unique relations
Fri Feb  7 21:36:10 2014  memory use: 20.6 MB
Fri Feb  7 21:36:10 2014  reading ideals above 100000
Fri Feb  7 21:36:10 2014  commencing singleton removal, initial pass
Fri Feb  7 21:36:33 2014  memory use: 172.2 MB
Fri Feb  7 21:36:33 2014  reading all ideals from disk
Fri Feb  7 21:36:34 2014  memory use: 170.0 MB
Fri Feb  7 21:36:34 2014  keeping 5702095 ideals with weight <= 200, target excess is 26583
Fri Feb  7 21:36:34 2014  commencing in-memory singleton removal
Fri Feb  7 21:36:34 2014  begin with 5002135 relations and 5702095 unique ideals
Fri Feb  7 21:36:36 2014  reduce to 1567908 relations and 1627821 ideals in 23 passes
Fri Feb  7 21:36:36 2014  max relations containing the same ideal: 91
Fri Feb  7 21:42:02 2014  
Fri Feb  7 21:42:02 2014  commencing relation filtering
Fri Feb  7 21:42:02 2014  estimated available RAM is 15988.7 MB
Fri Feb  7 21:42:02 2014  commencing duplicate removal, pass 1
Fri Feb  7 21:42:20 2014  found 586178 hash collisions in 5511446 relations
Fri Feb  7 21:42:26 2014  added 45 free relations
Fri Feb  7 21:42:26 2014  commencing duplicate removal, pass 2
Fri Feb  7 21:42:30 2014  found 249741 duplicates and 5261750 unique relations
Fri Feb  7 21:42:30 2014  memory use: 20.6 MB
Fri Feb  7 21:42:30 2014  reading ideals above 100000
Fri Feb  7 21:42:30 2014  commencing singleton removal, initial pass
Fri Feb  7 21:42:54 2014  memory use: 172.2 MB
Fri Feb  7 21:42:54 2014  reading all ideals from disk
Fri Feb  7 21:42:55 2014  memory use: 178.8 MB
Fri Feb  7 21:42:55 2014  keeping 5812188 ideals with weight <= 200, target excess is 27794
Fri Feb  7 21:42:55 2014  commencing in-memory singleton removal
Fri Feb  7 21:42:55 2014  begin with 5261750 relations and 5812188 unique ideals
Fri Feb  7 21:42:57 2014  reduce to 1951636 relations and 1923167 ideals in 21 passes
Fri Feb  7 21:42:57 2014  max relations containing the same ideal: 106
Fri Feb  7 21:48:24 2014  
Fri Feb  7 21:48:24 2014  commencing relation filtering
Fri Feb  7 21:48:24 2014  estimated available RAM is 15988.7 MB
Fri Feb  7 21:48:24 2014  commencing duplicate removal, pass 1
Fri Feb  7 21:48:42 2014  found 643539 hash collisions in 5807005 relations
Fri Feb  7 21:48:47 2014  added 35 free relations
Fri Feb  7 21:48:47 2014  commencing duplicate removal, pass 2
Fri Feb  7 21:48:51 2014  found 274872 duplicates and 5532168 unique relations
Fri Feb  7 21:48:51 2014  memory use: 20.6 MB
Fri Feb  7 21:48:51 2014  reading ideals above 100000
Fri Feb  7 21:48:51 2014  commencing singleton removal, initial pass
Fri Feb  7 21:49:15 2014  memory use: 172.2 MB
Fri Feb  7 21:49:16 2014  reading all ideals from disk
Fri Feb  7 21:49:16 2014  memory use: 188.1 MB
Fri Feb  7 21:49:16 2014  keeping 5919621 ideals with weight <= 200, target excess is 29198
Fri Feb  7 21:49:16 2014  commencing in-memory singleton removal
Fri Feb  7 21:49:17 2014  begin with 5532168 relations and 5919621 unique ideals
Fri Feb  7 21:49:19 2014  reduce to 2334751 relations and 2199601 ideals in 20 passes
Fri Feb  7 21:49:19 2014  max relations containing the same ideal: 113
Fri Feb  7 21:49:19 2014  removing 392628 relations and 341988 ideals in 50640 cliques
Fri Feb  7 21:49:19 2014  commencing in-memory singleton removal
Fri Feb  7 21:49:19 2014  begin with 1942123 relations and 2199601 unique ideals
Fri Feb  7 21:49:20 2014  reduce to 1886101 relations and 1799989 ideals in 9 passes
Fri Feb  7 21:49:20 2014  max relations containing the same ideal: 101
Fri Feb  7 21:49:20 2014  removing 297587 relations and 246947 ideals in 50640 cliques
Fri Feb  7 21:49:20 2014  commencing in-memory singleton removal
Fri Feb  7 21:49:20 2014  begin with 1588514 relations and 1799989 unique ideals
Fri Feb  7 21:49:21 2014  reduce to 1547557 relations and 1510940 ideals in 9 passes
Fri Feb  7 21:49:21 2014  max relations containing the same ideal: 87
Fri Feb  7 21:49:21 2014  relations with 0 large ideals: 99
Fri Feb  7 21:49:21 2014  relations with 1 large ideals: 169
Fri Feb  7 21:49:21 2014  relations with 2 large ideals: 2930
Fri Feb  7 21:49:21 2014  relations with 3 large ideals: 25135
Fri Feb  7 21:49:21 2014  relations with 4 large ideals: 114706
Fri Feb  7 21:49:21 2014  relations with 5 large ideals: 297812
Fri Feb  7 21:49:21 2014  relations with 6 large ideals: 452084
Fri Feb  7 21:49:21 2014  relations with 7+ large ideals: 654622
Fri Feb  7 21:49:21 2014  commencing 2-way merge
Fri Feb  7 21:49:22 2014  reduce to 892575 relation sets and 855958 unique ideals
Fri Feb  7 21:49:22 2014  commencing full merge
Fri Feb  7 21:49:30 2014  memory use: 98.0 MB
Fri Feb  7 21:49:30 2014  found 436222 cycles, need 430158
Fri Feb  7 21:49:30 2014  weight of 430158 cycles is about 30332245 (70.51/cycle)
Fri Feb  7 21:49:30 2014  distribution of cycle lengths:
Fri Feb  7 21:49:30 2014  1 relations: 48929
Fri Feb  7 21:49:30 2014  2 relations: 46561
Fri Feb  7 21:49:30 2014  3 relations: 47313
Fri Feb  7 21:49:30 2014  4 relations: 42719
Fri Feb  7 21:49:30 2014  5 relations: 39727
Fri Feb  7 21:49:30 2014  6 relations: 34342
Fri Feb  7 21:49:30 2014  7 relations: 30064
Fri Feb  7 21:49:30 2014  8 relations: 26216
Fri Feb  7 21:49:30 2014  9 relations: 22704
Fri Feb  7 21:49:30 2014  10+ relations: 91583
Fri Feb  7 21:49:30 2014  heaviest cycle: 22 relations
Fri Feb  7 21:49:30 2014  commencing cycle optimization
Fri Feb  7 21:49:30 2014  start with 2669034 relations
Fri Feb  7 21:49:33 2014  pruned 58187 relations
Fri Feb  7 21:49:33 2014  memory use: 88.9 MB
Fri Feb  7 21:49:33 2014  distribution of cycle lengths:
Fri Feb  7 21:49:33 2014  1 relations: 48929
Fri Feb  7 21:49:33 2014  2 relations: 47567
Fri Feb  7 21:49:33 2014  3 relations: 48852
Fri Feb  7 21:49:33 2014  4 relations: 43519
Fri Feb  7 21:49:33 2014  5 relations: 40612
Fri Feb  7 21:49:33 2014  6 relations: 34862
Fri Feb  7 21:49:33 2014  7 relations: 30417
Fri Feb  7 21:49:33 2014  8 relations: 26066
Fri Feb  7 21:49:33 2014  9 relations: 22684
Fri Feb  7 21:49:33 2014  10+ relations: 86650
Fri Feb  7 21:49:33 2014  heaviest cycle: 22 relations
Fri Feb  7 21:49:33 2014  RelProcTime: 69
Fri Feb  7 21:49:33 2014  
Fri Feb  7 21:49:33 2014  commencing linear algebra
Fri Feb  7 21:49:33 2014  read 430158 cycles
Fri Feb  7 21:49:34 2014  cycles contain 1491348 unique relations
Fri Feb  7 21:49:41 2014  read 1491348 relations
Fri Feb  7 21:49:42 2014  using 20 quadratic characters above 67108820
Fri Feb  7 21:49:46 2014  building initial matrix
Fri Feb  7 21:49:54 2014  memory use: 189.4 MB
Fri Feb  7 21:49:55 2014  read 430158 cycles
Fri Feb  7 21:49:55 2014  matrix is 429980 x 430158 (130.9 MB) with weight 41597372 (96.70/col)
Fri Feb  7 21:49:55 2014  sparse part has weight 29143880 (67.75/col)
Fri Feb  7 21:49:57 2014  filtering completed in 2 passes
Fri Feb  7 21:49:57 2014  matrix is 429207 x 429385 (130.8 MB) with weight 41563322 (96.80/col)
Fri Feb  7 21:49:57 2014  sparse part has weight 29133148 (67.85/col)
Fri Feb  7 21:49:57 2014  matrix starts at (0, 0)
Fri Feb  7 21:49:57 2014  matrix is 429207 x 429385 (130.8 MB) with weight 41563322 (96.80/col)
Fri Feb  7 21:49:57 2014  sparse part has weight 29133148 (67.85/col)
Fri Feb  7 21:49:57 2014  saving the first 48 matrix rows for later
Fri Feb  7 21:49:57 2014  matrix includes 64 packed rows
Fri Feb  7 21:49:58 2014  matrix is 429159 x 429385 (125.4 MB) with weight 32972292 (76.79/col)
Fri Feb  7 21:49:58 2014  sparse part has weight 28588315 (66.58/col)
Fri Feb  7 21:49:58 2014  using block size 65536 for processor cache size 8192 kB
Fri Feb  7 21:49:59 2014  commencing Lanczos iteration (8 threads)
Fri Feb  7 21:49:59 2014  memory use: 119.0 MB
Fri Feb  7 21:50:06 2014  linear algebra at 2.8%, ETA 0h 4m
Fri Feb  7 21:54:35 2014  lanczos halted after 6787 iterations (dim = 429156)
Fri Feb  7 21:54:36 2014  recovered 28 nontrivial dependencies
Fri Feb  7 21:54:36 2014  BLanczosTime: 303
Fri Feb  7 21:54:36 2014  
Fri Feb  7 21:54:36 2014  commencing square root phase
Fri Feb  7 21:54:36 2014  reading relations for dependency 1
Fri Feb  7 21:54:36 2014  read 214648 cycles
Fri Feb  7 21:54:36 2014  cycles contain 744390 unique relations
Fri Feb  7 21:54:41 2014  read 744390 relations
Fri Feb  7 21:54:43 2014  multiplying 744390 relations
Fri Feb  7 21:55:05 2014  multiply complete, coefficients have about 32.96 million bits
Fri Feb  7 21:55:05 2014  initial square root is modulo 2922965791
Fri Feb  7 21:55:33 2014  sqrtTime: 57
--
n: 4024221347486693825701273905584283881438392007324445383080451247438518374930577318961772214158558125985493485741
skew: 25578.54
c0: -74512115001527084611631200
c1: 17816325121100363019900
c2: 938800229377272702
c3: -116925491748540
c4: -1709256167
c5: 27060
Y0: -2719388062560517130787
Y1: 184933566071
rlim: 3720000
alim: 3720000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5

yafu v1.34.3

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

49168837418531420979401395558066304700331628116205839584052558348763979118936279278996537258471162999926769816610697883647700049168837418531420979401395558066304700331628116205839584052558348763979118936279278996537258471163<224>

22261855871577311797360593489517<32>

2208658509972092360657330239806537050944652146513801149010272738522441307655266834567286938839753466064032712022253168418032310488995444202078281497566867720896927172959575727338441979740140039<193>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1028938076
Step 1 took 14009ms
Step 2 took 8018ms
********** Factor found in step 2: 22261855871577311797360593489517
Found probable prime factor of 32 digits: 22261855871577311797360593489517
Composite cofactor 2208658509972092360657330239806537050944652146513801149010272738522441307655266834567286938839753466064032712022253168418032310488995444202078281497566867720896927172959575727338441979740140039 has 193 digits

GMP-ECM 6.3

144784984555051673800656418113268675908732835443348020243458255048500239230983662552755083156093752932299855456801340956317774872334864391190556327882600644642591468792257153381257913242506874658151157112760243421<213>

7192877661796857742074806588411365484664803313389199642629913473492802268088991638283499447026425247151345058817760946992958607358458591202122520181631710262816821220083976750117635548044266788433<196>

20654143844086969515243727937512957495669588687897146292161327483963193870900264999881050631224428898089478206012320906767606350052810369951139962996481478881186148225608237665554404729399501263<194>

70058386957811435615597083782377781653348120124793365023573901909314635197035486808900098230802138718587384422294069333953424588108855827292660713194379230520414566778312904605817231083862870396455939982321436822986305821255714603<230>

1542783193881905027137926050773<31>

45410390284024687414273950003867989157374537284940792488446710541427006870353402717118010138023666799183761917343579200799026116680594370561569078559433052984522424616126885807077071327666237500755711<200>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=351420469
Step 1 took 13869ms
Step 2 took 7504ms
********** Factor found in step 2: 1542783193881905027137926050773
Found probable prime factor of 31 digits: 1542783193881905027137926050773
Composite cofactor 45410390284024687414273950003867989157374537284940792488446710541427006870353402717118010138023666799183761917343579200799026116680594370561569078559433052984522424616126885807077071327666237500755711 has 200 digits

GMP-ECM 6.3

969928254968084424924483411983308370126683607054309095582301155504172586802073402065334467439528943133121760291758628325821379545071003468207471342243397827938252737919979531384299204505599542840321311513<204>

300551962650814674214659145213981621819838096575112445357115695613832480829989720685337313513964729275894808266788248741529425513560690575612002537585189307298677645458207388713450351727141<189>

2503038226809818803557210371856947140848365590226348546989747020252111637247243348308213800033174065069543170296709811099349339808945021084725148844415682149343664284266414664015964309216694383242989611545598099252673058443083221<229>

1869028883787468776834414329917411057888377398731136300264888306668249514854368443404888621386862280369914479872404290992458649451401268436378550519190324963420140866765759991384810092102314018024522051418081756454633577<220>

61294908579142139421232050515437732422134368424282006123484891529915563256952452620138537165250354363277915209341188146963075772728888005244922433075407420623625323338317526238895056976340623339869315616707778469078101<218>

33263659814160482160300676663028320935079703395894189083401055714909524341086410162157525995718148441939066409547942050604859512267209298420587355214235442566553981211812846329779207636945081997451784720560871807942186587211123<227>

10734687811556936577699952186147379447978748074731479329027171669164116571603487099763136083051618729519690771691847600367266800645168765592391936701155530715440029754804575037223558305509104617970492446352566614363589881<221>

1141121105268530675872445506675807651465495044796619309023494785551011296923372178697769310052294490656924660102168288287802030271959979634072988375165251834952938741390330143764388176760229174236228116444670924119552416049921659751089<235>

11577368862737845996810222193462755815455454053221352060653614454906620931152653035576008449946368481271450719058599871490280215942779138150686576822938577995967365591312395698568548924206195671800273257518314669331597978045505702327<233>

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