65276622757457006081426432091868980663147198002143596564155708560164105572476967585475257278453<95>

29415027840806636275258180245178147<35>
2219158965639345523025597599430986517293980929370944685537799<61>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 65276622757457006081426432091868980663147198002143596564155708560164105572476967585475257278453 (95 digits)
Using B1=1164000, B2=1426247560, polynomial Dickson(6), sigma=3694281782
Step 1 took 7140ms
Step 2 took 4016ms
********** Factor found in step 2: 29415027840806636275258180245178147
Found probable prime factor of 35 digits: 29415027840806636275258180245178147
Probable prime cofactor 2219158965639345523025597599430986517293980929370944685537799 has 61 digits

1037099364697547350622239844153508010917775411986117641986882008559440553594657077145488119077<94>

3169840304725009685413906056034592944278811<43>
327177165093027581456207742002827740502041351113407<51>

Wed Dec 03 08:05:31 2008  Msieve v. 1.38
Wed Dec 03 08:05:31 2008  random seeds: f67d6428 21c1cf72
Wed Dec 03 08:05:31 2008  factoring 1037099364697547350622239844153508010917775411986117641986882008559440553594657077145488119077 (94 digits)
Wed Dec 03 08:05:32 2008  searching for 15-digit factors
Wed Dec 03 08:05:33 2008  commencing quadratic sieve (94-digit input)
Wed Dec 03 08:05:33 2008  using multiplier of 13
Wed Dec 03 08:05:33 2008  using 32kb Intel Core sieve core
Wed Dec 03 08:05:33 2008  sieve interval: 36 blocks of size 32768
Wed Dec 03 08:05:33 2008  processing polynomials in batches of 6
Wed Dec 03 08:05:33 2008  using a sieve bound of 1956883 (72881 primes)
Wed Dec 03 08:05:33 2008  using large prime bound of 244610375 (27 bits)
Wed Dec 03 08:05:33 2008  using double large prime bound of 1256766767596625 (42-51 bits)
Wed Dec 03 08:05:33 2008  using trial factoring cutoff of 51 bits
Wed Dec 03 08:05:33 2008  polynomial 'A' values have 12 factors
Wed Dec 03 10:37:52 2008  73001 relations (18382 full + 54619 combined from 986077 partial), need 72977
Wed Dec 03 10:37:55 2008  begin with 1004459 relations
Wed Dec 03 10:37:56 2008  reduce to 185777 relations in 10 passes
Wed Dec 03 10:37:56 2008  attempting to read 185777 relations
Wed Dec 03 10:37:59 2008  recovered 185777 relations
Wed Dec 03 10:37:59 2008  recovered 167454 polynomials
Wed Dec 03 10:37:59 2008  attempting to build 73001 cycles
Wed Dec 03 10:37:59 2008  found 73001 cycles in 6 passes
Wed Dec 03 10:37:59 2008  distribution of cycle lengths:
Wed Dec 03 10:37:59 2008     length 1 : 18382
Wed Dec 03 10:37:59 2008     length 2 : 13268
Wed Dec 03 10:37:59 2008     length 3 : 12616
Wed Dec 03 10:37:59 2008     length 4 : 9675
Wed Dec 03 10:37:59 2008     length 5 : 7349
Wed Dec 03 10:37:59 2008     length 6 : 4767
Wed Dec 03 10:37:59 2008     length 7 : 3037
Wed Dec 03 10:37:59 2008     length 9+: 3907
Wed Dec 03 10:37:59 2008  largest cycle: 18 relations
Wed Dec 03 10:38:00 2008  matrix is 72881 x 73001 (18.7 MB) with weight 4622762 (63.32/col)
Wed Dec 03 10:38:00 2008  sparse part has weight 4622762 (63.32/col)
Wed Dec 03 10:38:00 2008  filtering completed in 3 passes
Wed Dec 03 10:38:00 2008  matrix is 69106 x 69170 (17.9 MB) with weight 4413229 (63.80/col)
Wed Dec 03 10:38:00 2008  sparse part has weight 4413229 (63.80/col)
Wed Dec 03 10:38:01 2008  saving the first 48 matrix rows for later
Wed Dec 03 10:38:01 2008  matrix is 69058 x 69170 (11.1 MB) with weight 3457078 (49.98/col)
Wed Dec 03 10:38:01 2008  sparse part has weight 2486624 (35.95/col)
Wed Dec 03 10:38:01 2008  matrix includes 64 packed rows
Wed Dec 03 10:38:01 2008  using block size 27668 for processor cache size 1024 kB
Wed Dec 03 10:38:02 2008  commencing Lanczos iteration
Wed Dec 03 10:38:02 2008  memory use: 10.8 MB
Wed Dec 03 10:38:33 2008  lanczos halted after 1093 iterations (dim = 69054)
Wed Dec 03 10:38:33 2008  recovered 15 nontrivial dependencies
Wed Dec 03 10:38:34 2008  prp43 factor: 3169840304725009685413906056034592944278811
Wed Dec 03 10:38:34 2008  prp51 factor: 327177165093027581456207742002827740502041351113407
Wed Dec 03 10:38:34 2008  elapsed time 02:33:03

531430209183635626101673509948954022583701742093667870559637533214565867046554682600715495943222357024593<105>

134550578004032969503029919091315931135151<42>
3949668719875040095385887177491447940304626316925380622724998143<64>

SNFS difficulty: 121 digits.
Divisors found:
 r1=134550578004032969503029919091315931135151 (pp42)
 r2=3949668719875040095385887177491447940304626316925380622724998143 (pp64)
Version: Msieve-1.38
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.951).
Factorization parameters were as follows:
n: 531430209183635626101673509948954022583701742093667870559637533214565867046554682600715495943222357024593
m: 1000000000000000000000000
deg: 5
c5: 17
c0: 55
skew: 1.26
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 48
mfba: 48
rlambda: 2.2
alambda: 2.2
Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 48/48
Sieved rational special-q in [365000, 615001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 77656 x 77874
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,730000,730000,25,25,48,48,2.2,2.2,50000
total time: 1.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

787761199357795842149902004718574687702229628244577845033345679589374961514450685290222523<90>

125930051109900781050517676232507094612633<42>
6255545776522447969252532683162886614264007977331<49>

Tue Dec 02 17:23:35 2008  Msieve v. 1.38
Tue Dec 02 17:23:35 2008  random seeds: 8794fe44 d9316f60
Tue Dec 02 17:23:35 2008  factoring 787761199357795842149902004718574687702229628244577845033345679589374961514450685290222523 (90 digits)
Tue Dec 02 17:23:37 2008  searching for 15-digit factors
Tue Dec 02 17:23:38 2008  commencing quadratic sieve (90-digit input)
Tue Dec 02 17:23:38 2008  using multiplier of 35
Tue Dec 02 17:23:38 2008  using 32kb Intel Core sieve core
Tue Dec 02 17:23:38 2008  sieve interval: 36 blocks of size 32768
Tue Dec 02 17:23:38 2008  processing polynomials in batches of 6
Tue Dec 02 17:23:38 2008  using a sieve bound of 1613669 (61176 primes)
Tue Dec 02 17:23:38 2008  using large prime bound of 135548196 (27 bits)
Tue Dec 02 17:23:38 2008  using double large prime bound of 434278798718520 (42-49 bits)
Tue Dec 02 17:23:38 2008  using trial factoring cutoff of 49 bits
Tue Dec 02 17:23:38 2008  polynomial 'A' values have 12 factors
Tue Dec 02 18:51:53 2008  61673 relations (16166 full + 45507 combined from 667782 partial), need 61272
Tue Dec 02 18:51:54 2008  begin with 683948 relations
Tue Dec 02 18:51:54 2008  reduce to 151269 relations in 9 passes
Tue Dec 02 18:51:54 2008  attempting to read 151269 relations
Tue Dec 02 18:51:57 2008  recovered 151269 relations
Tue Dec 02 18:51:57 2008  recovered 131708 polynomials
Tue Dec 02 18:51:57 2008  attempting to build 61673 cycles
Tue Dec 02 18:51:57 2008  found 61673 cycles in 6 passes
Tue Dec 02 18:51:57 2008  distribution of cycle lengths:
Tue Dec 02 18:51:57 2008     length 1 : 16166
Tue Dec 02 18:51:57 2008     length 2 : 11786
Tue Dec 02 18:51:57 2008     length 3 : 10982
Tue Dec 02 18:51:57 2008     length 4 : 8304
Tue Dec 02 18:51:57 2008     length 5 : 5824
Tue Dec 02 18:51:57 2008     length 6 : 3724
Tue Dec 02 18:51:57 2008     length 7 : 2254
Tue Dec 02 18:51:57 2008     length 9+: 2633
Tue Dec 02 18:51:57 2008  largest cycle: 20 relations
Tue Dec 02 18:51:57 2008  matrix is 61176 x 61673 (15.1 MB) with weight 3720091 (60.32/col)
Tue Dec 02 18:51:57 2008  sparse part has weight 3720091 (60.32/col)
Tue Dec 02 18:51:57 2008  filtering completed in 3 passes
Tue Dec 02 18:51:57 2008  matrix is 57401 x 57465 (14.1 MB) with weight 3463249 (60.27/col)
Tue Dec 02 18:51:57 2008  sparse part has weight 3463249 (60.27/col)
Tue Dec 02 18:51:58 2008  saving the first 48 matrix rows for later
Tue Dec 02 18:51:58 2008  matrix is 57353 x 57465 (8.6 MB) with weight 2677561 (46.59/col)
Tue Dec 02 18:51:58 2008  sparse part has weight 1902579 (33.11/col)
Tue Dec 02 18:51:58 2008  matrix includes 64 packed rows
Tue Dec 02 18:51:58 2008  using block size 22986 for processor cache size 2048 kB
Tue Dec 02 18:51:58 2008  commencing Lanczos iteration
Tue Dec 02 18:51:58 2008  memory use: 8.5 MB
Tue Dec 02 18:52:16 2008  lanczos halted after 908 iterations (dim = 57350)
Tue Dec 02 18:52:17 2008  recovered 17 nontrivial dependencies
Tue Dec 02 18:52:17 2008  prp42 factor: 125930051109900781050517676232507094612633
Tue Dec 02 18:52:17 2008  prp49 factor: 6255545776522447969252532683162886614264007977331
Tue Dec 02 18:52:17 2008  elapsed time 01:28:42

Msieve

356432873427831627112679318770660365172752354788089110074530458749791280922615989414199535547912738293703<105>

5443398684485062745608459470540440836230952784999<49>
65479839726556724918536912328130937246647388805273851297<56>

Number: 37779_125
N=356432873427831627112679318770660365172752354788089110074530458749791280922615989414199535547912738293703
  ( 105 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=5443398684485062745608459470540440836230952784999 (pp49)
 r2=65479839726556724918536912328130937246647388805273851297 (pp56)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2.85 hours.
Scaled time: 5.70 units (timescale=2.003).
Factorization parameters were as follows:
name: 37779_125
n: 356432873427831627112679318770660365172752354788089110074530458749791280922615989414199535547912738293703
m: 10000000000000000000000000
deg: 5
c5: 34
c0: 11
skew: 0.80
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 700001)
Primes: RFBsize:71274, AFBsize:71741, largePrimes:2573592 encountered
Relations: rels:2543913, finalFF:259396
Max relations in full relation-set: 28
Initial matrix: 143081 x 259396 with sparse part having weight 19576840.
Pruned matrix : 111447 x 112226 with weight 6001097.
Total sieving time: 2.68 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.06 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: 2.85 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

371420364817581295705645061145137640800394237810241163013469359618560286814126647162880800190131395645525103793939844371<120>

3094954575702726439122095056342669879877024807<46>
120008341231712023239286079666107104918324943560165096405970394211220012853<75>

Number: 37779_127
N=371420364817581295705645061145137640800394237810241163013469359618560286814126647162880800190131395645525103793939844371
  ( 120 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=3094954575702726439122095056342669879877024807 (pp46)
 r2=120008341231712023239286079666107104918324943560165096405970394211220012853 (pp75)
Version: GGNFS-0.77.1-20060513-k8
Total time: 4.45 hours.
Scaled time: 8.88 units (timescale=1.997).
Factorization parameters were as follows:
name: 37779_127
n: 371420364817581295705645061145137640800394237810241163013469359618560286814126647162880800190131395645525103793939844371
m: 20000000000000000000000000
deg: 5
c5: 425
c0: 44
skew: 0.64
type: snfs
lss: 1
rlim: 990000
alim: 990000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 990000/990000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [495000, 945001)
Primes: RFBsize:77777, AFBsize:78173, largePrimes:2831875 encountered
Relations: rels:2808267, finalFF:268001
Max relations in full relation-set: 28
Initial matrix: 156017 x 268001 with sparse part having weight 23094868.
Pruned matrix : 131845 x 132689 with weight 8336932.
Total sieving time: 4.20 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,129,5,0,0,0,0,0,0,0,0,990000,990000,26,26,47,47,2.3,2.3,50000
total time: 4.45 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

187980725340813251363795528979449026243397065229977082464549401564536900145928473447874479402007304069611129124539<114>

704443609565155929330823351494758617941251<42>
266849926365080321478332525760082425809629672857355064497940552907853289<72>

Number: 37779_132
N=187980725340813251363795528979449026243397065229977082464549401564536900145928473447874479402007304069611129124539
  ( 114 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=704443609565155929330823351494758617941251 (pp42)
 r2=266849926365080321478332525760082425809629672857355064497940552907853289 (pp72)
Version: GGNFS-0.77.1-20060513-k8
Total time: 7.58 hours.
Scaled time: 15.14 units (timescale=1.997).
Factorization parameters were as follows:
name: 37779_132
n: 187980725340813251363795528979449026243397065229977082464549401564536900145928473447874479402007304069611129124539
m: 200000000000000000000000000
deg: 5
c5: 425
c0: 44
skew: 0.64
type: snfs
lss: 1
rlim: 1200000
alim: 1200000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [600000, 1275001)
Primes: RFBsize:92938, AFBsize:93250, largePrimes:3205408 encountered
Relations: rels:3226583, finalFF:291905
Max relations in full relation-set: 28
Initial matrix: 186255 x 291905 with sparse part having weight 27574321.
Pruned matrix : 161015 x 162010 with weight 12254657.
Total sieving time: 7.17 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,134,5,0,0,0,0,0,0,0,0,1200000,1200000,26,26,47,47,2.3,2.3,75000
total time: 7.58 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

89404749163222650076866820667644652085586696566770446146303782255448909690029097440945165903<92>

1611364825756490385391657092199601092037<40>
55483865437642055596519639266633036099126609006735619<53>

Tue Dec 02 18:59:21 2008  Msieve v. 1.38
Tue Dec 02 18:59:21 2008  random seeds: db3297c8 282ae7cc
Tue Dec 02 18:59:21 2008  factoring 89404749163222650076866820667644652085586696566770446146303782255448909690029097440945165903 (92 digits)
Tue Dec 02 18:59:22 2008  searching for 15-digit factors
Tue Dec 02 18:59:24 2008  commencing quadratic sieve (92-digit input)
Tue Dec 02 18:59:24 2008  using multiplier of 3
Tue Dec 02 18:59:24 2008  using 32kb Intel Core sieve core
Tue Dec 02 18:59:24 2008  sieve interval: 36 blocks of size 32768
Tue Dec 02 18:59:24 2008  processing polynomials in batches of 6
Tue Dec 02 18:59:24 2008  using a sieve bound of 1853669 (69412 primes)
Tue Dec 02 18:59:24 2008  using large prime bound of 209464597 (27 bits)
Tue Dec 02 18:59:24 2008  using double large prime bound of 950602707335250 (42-50 bits)
Tue Dec 02 18:59:24 2008  using trial factoring cutoff of 50 bits
Tue Dec 02 18:59:24 2008  polynomial 'A' values have 12 factors
Tue Dec 02 21:27:12 2008  69578 relations (17573 full + 52005 combined from 892740 partial), need 69508
Tue Dec 02 21:27:16 2008  begin with 910313 relations
Tue Dec 02 21:27:16 2008  reduce to 176228 relations in 11 passes
Tue Dec 02 21:27:16 2008  attempting to read 176228 relations
Tue Dec 02 21:27:19 2008  recovered 176228 relations
Tue Dec 02 21:27:19 2008  recovered 158671 polynomials
Tue Dec 02 21:27:19 2008  attempting to build 69578 cycles
Tue Dec 02 21:27:19 2008  found 69578 cycles in 5 passes
Tue Dec 02 21:27:19 2008  distribution of cycle lengths:
Tue Dec 02 21:27:19 2008     length 1 : 17573
Tue Dec 02 21:27:19 2008     length 2 : 12601
Tue Dec 02 21:27:19 2008     length 3 : 11959
Tue Dec 02 21:27:19 2008     length 4 : 9471
Tue Dec 02 21:27:19 2008     length 5 : 6955
Tue Dec 02 21:27:19 2008     length 6 : 4600
Tue Dec 02 21:27:19 2008     length 7 : 2814
Tue Dec 02 21:27:19 2008     length 9+: 3605
Tue Dec 02 21:27:19 2008  largest cycle: 18 relations
Tue Dec 02 21:27:20 2008  matrix is 69412 x 69578 (17.6 MB) with weight 4325156 (62.16/col)
Tue Dec 02 21:27:20 2008  sparse part has weight 4325156 (62.16/col)
Tue Dec 02 21:27:20 2008  filtering completed in 3 passes
Tue Dec 02 21:27:20 2008  matrix is 65648 x 65712 (16.7 MB) with weight 4116478 (62.64/col)
Tue Dec 02 21:27:20 2008  sparse part has weight 4116478 (62.64/col)
Tue Dec 02 21:27:20 2008  saving the first 48 matrix rows for later
Tue Dec 02 21:27:21 2008  matrix is 65600 x 65712 (10.3 MB) with weight 3244072 (49.37/col)
Tue Dec 02 21:27:21 2008  sparse part has weight 2314877 (35.23/col)
Tue Dec 02 21:27:21 2008  matrix includes 64 packed rows
Tue Dec 02 21:27:21 2008  using block size 26284 for processor cache size 2048 kB
Tue Dec 02 21:27:21 2008  commencing Lanczos iteration
Tue Dec 02 21:27:21 2008  memory use: 10.1 MB
Tue Dec 02 21:27:47 2008  lanczos halted after 1039 iterations (dim = 65598)
Tue Dec 02 21:27:47 2008  recovered 17 nontrivial dependencies
Tue Dec 02 21:27:47 2008  prp40 factor: 1611364825756490385391657092199601092037
Tue Dec 02 21:27:47 2008  prp53 factor: 55483865437642055596519639266633036099126609006735619
Tue Dec 02 21:27:47 2008  elapsed time 02:28:26

Msieve

24447865674387749360043877876481953138437871115753646983888106437925276699437543296241688205156588003<101>

881826597797799257233689206803<30>
27724119158394433966044807026838624228049298969437410695567232496220401<71>

Thu Dec 04 00:18:05 2008  Msieve v. 1.38
Thu Dec 04 00:18:05 2008  random seeds: c33abc40 4e1f0ddc
Thu Dec 04 00:18:05 2008  factoring 24447865674387749360043877876481953138437871115753646983888106437925276699437543296241688205156588003 (101 digits)
Thu Dec 04 00:18:06 2008  searching for 15-digit factors
Thu Dec 04 00:18:07 2008  commencing quadratic sieve (101-digit input)
Thu Dec 04 00:18:07 2008  using multiplier of 3
Thu Dec 04 00:18:07 2008  using 32kb Intel Core sieve core
Thu Dec 04 00:18:07 2008  sieve interval: 36 blocks of size 32768
Thu Dec 04 00:18:07 2008  processing polynomials in batches of 6
Thu Dec 04 00:18:07 2008  using a sieve bound of 2899627 (105000 primes)
Thu Dec 04 00:18:07 2008  using large prime bound of 434944050 (28 bits)
Thu Dec 04 00:18:07 2008  using double large prime bound of 3541441458762600 (43-52 bits)
Thu Dec 04 00:18:07 2008  using trial factoring cutoff of 52 bits
Thu Dec 04 00:18:07 2008  polynomial 'A' values have 13 factors
Thu Dec 04 15:35:22 2008  105169 relations (24457 full + 80712 combined from 1588835 partial), need 105096
Thu Dec 04 15:35:24 2008  begin with 1613292 relations
Thu Dec 04 15:35:26 2008  reduce to 279532 relations in 11 passes
Thu Dec 04 15:35:26 2008  attempting to read 279532 relations
Thu Dec 04 15:35:31 2008  recovered 279532 relations
Thu Dec 04 15:35:31 2008  recovered 271621 polynomials
Thu Dec 04 15:35:31 2008  attempting to build 105169 cycles
Thu Dec 04 15:35:32 2008  found 105169 cycles in 6 passes
Thu Dec 04 15:35:32 2008  distribution of cycle lengths:
Thu Dec 04 15:35:32 2008     length 1 : 24457
Thu Dec 04 15:35:32 2008     length 2 : 17837
Thu Dec 04 15:35:32 2008     length 3 : 17389
Thu Dec 04 15:35:32 2008     length 4 : 14579
Thu Dec 04 15:35:32 2008     length 5 : 11211
Thu Dec 04 15:35:32 2008     length 6 : 7688
Thu Dec 04 15:35:32 2008     length 7 : 4891
Thu Dec 04 15:35:32 2008     length 9+: 7117
Thu Dec 04 15:35:32 2008  largest cycle: 20 relations
Thu Dec 04 15:35:32 2008  matrix is 105000 x 105169 (29.4 MB) with weight 7290438 (69.32/col)
Thu Dec 04 15:35:32 2008  sparse part has weight 7290438 (69.32/col)
Thu Dec 04 15:35:33 2008  filtering completed in 3 passes
Thu Dec 04 15:35:33 2008  matrix is 101030 x 101094 (28.4 MB) with weight 7048029 (69.72/col)
Thu Dec 04 15:35:33 2008  sparse part has weight 7048029 (69.72/col)
Thu Dec 04 15:35:34 2008  saving the first 48 matrix rows for later
Thu Dec 04 15:35:34 2008  matrix is 100982 x 101094 (17.7 MB) with weight 5595506 (55.35/col)
Thu Dec 04 15:35:34 2008  sparse part has weight 4029442 (39.86/col)
Thu Dec 04 15:35:34 2008  matrix includes 64 packed rows
Thu Dec 04 15:35:34 2008  using block size 40437 for processor cache size 1024 kB
Thu Dec 04 15:35:35 2008  commencing Lanczos iteration
Thu Dec 04 15:35:35 2008  memory use: 17.1 MB
Thu Dec 04 15:37:01 2008  lanczos halted after 1598 iterations (dim = 100980)
Thu Dec 04 15:37:02 2008  recovered 16 nontrivial dependencies
Thu Dec 04 15:37:03 2008  prp30 factor: 881826597797799257233689206803
Thu Dec 04 15:37:03 2008  prp71 factor: 27724119158394433966044807026838624228049298969437410695567232496220401
Thu Dec 04 15:37:03 2008  elapsed time 15:18:58

921988849227263294044333772651184411462748175016738053831161521532778430268134522035693136038196151<99>

1841221420817442296175794794789<31>
500748491627872924290376533581931521233778005915252163983598241292459<69>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=327529411
Step 1 took 12949ms
Step 2 took 10136ms
********** Factor found in step 2: 1841221420817442296175794794789
Found probable prime factor of 31 digits: 1841221420817442296175794794789
Probable prime cofactor 500748491627872924290376533581931521233778005915252163983598241292459 has 69 digits

GMP-ECM 6.2.1

390730453035247059146522489228493483467865317468685394145951389981862136141644394648757538586705547<99>

129875636537331934293962710004963<33>
3008496924078089501053188927281925523873777858397632239079606003769<67>

Wed Dec 03 13:56:27 2008  Msieve v. 1.38
Wed Dec 03 13:56:27 2008  random seeds: 2557077c 08d5cfb5
Wed Dec 03 13:56:27 2008  factoring 390730453035247059146522489228493483467865317468685394145951389981862136141644394648757538586705547 (99 digits)
Wed Dec 03 13:56:28 2008  searching for 15-digit factors
Wed Dec 03 13:56:29 2008  commencing quadratic sieve (99-digit input)
Wed Dec 03 13:56:30 2008  using multiplier of 3
Wed Dec 03 13:56:30 2008  using 32kb Intel Core sieve core
Wed Dec 03 13:56:30 2008  sieve interval: 36 blocks of size 32768
Wed Dec 03 13:56:30 2008  processing polynomials in batches of 6
Wed Dec 03 13:56:30 2008  using a sieve bound of 2612039 (95294 primes)
Wed Dec 03 13:56:30 2008  using large prime bound of 391805850 (28 bits)
Wed Dec 03 13:56:30 2008  using double large prime bound of 2934456164566950 (43-52 bits)
Wed Dec 03 13:56:30 2008  using trial factoring cutoff of 52 bits
Wed Dec 03 13:56:30 2008  polynomial 'A' values have 13 factors
Thu Dec 04 00:07:06 2008  95638 relations (22183 full + 73455 combined from 1444910 partial), need 95390
Thu Dec 04 00:07:08 2008  begin with 1467093 relations
Thu Dec 04 00:07:10 2008  reduce to 254155 relations in 10 passes
Thu Dec 04 00:07:10 2008  attempting to read 254155 relations
Thu Dec 04 00:07:14 2008  recovered 254155 relations
Thu Dec 04 00:07:14 2008  recovered 244846 polynomials
Thu Dec 04 00:07:14 2008  attempting to build 95638 cycles
Thu Dec 04 00:07:15 2008  found 95638 cycles in 6 passes
Thu Dec 04 00:07:15 2008  distribution of cycle lengths:
Thu Dec 04 00:07:15 2008     length 1 : 22183
Thu Dec 04 00:07:15 2008     length 2 : 16132
Thu Dec 04 00:07:15 2008     length 3 : 16184
Thu Dec 04 00:07:15 2008     length 4 : 13158
Thu Dec 04 00:07:15 2008     length 5 : 10093
Thu Dec 04 00:07:15 2008     length 6 : 6935
Thu Dec 04 00:07:15 2008     length 7 : 4505
Thu Dec 04 00:07:15 2008     length 9+: 6448
Thu Dec 04 00:07:15 2008  largest cycle: 20 relations
Thu Dec 04 00:07:15 2008  matrix is 95294 x 95638 (25.8 MB) with weight 6383703 (66.75/col)
Thu Dec 04 00:07:15 2008  sparse part has weight 6383703 (66.75/col)
Thu Dec 04 00:07:16 2008  filtering completed in 3 passes
Thu Dec 04 00:07:16 2008  matrix is 91652 x 91716 (24.8 MB) with weight 6140115 (66.95/col)
Thu Dec 04 00:07:16 2008  sparse part has weight 6140115 (66.95/col)
Thu Dec 04 00:07:17 2008  saving the first 48 matrix rows for later
Thu Dec 04 00:07:17 2008  matrix is 91604 x 91716 (14.6 MB) with weight 4748001 (51.77/col)
Thu Dec 04 00:07:17 2008  sparse part has weight 3267205 (35.62/col)
Thu Dec 04 00:07:17 2008  matrix includes 64 packed rows
Thu Dec 04 00:07:17 2008  using block size 36686 for processor cache size 1024 kB
Thu Dec 04 00:07:18 2008  commencing Lanczos iteration
Thu Dec 04 00:07:18 2008  memory use: 14.7 MB
Thu Dec 04 00:08:20 2008  lanczos halted after 1450 iterations (dim = 91602)
Thu Dec 04 00:08:21 2008  recovered 16 nontrivial dependencies
Thu Dec 04 00:08:21 2008  prp33 factor: 129875636537331934293962710004963
Thu Dec 04 00:08:21 2008  prp67 factor: 3008496924078089501053188927281925523873777858397632239079606003769
Thu Dec 04 00:08:21 2008  elapsed time 10:11:54

1206957756478523251686190983315583954561590344337948171813986510472133475328363507277245296414625488107916222932197373091941782037628683<136>

24601879358045760753375775352802939606580539840588556396176557740009<68>
49059575445962897342059554987416196312658920843681835646967035583187<68>

# Yes, Virginia, there is a Santa Claus. A Nice split for me, too, finally :-)
#
SNFS difficulty: 139 digits.
Divisors found:
 r1=24601879358045760753375775352802939606580539840588556396176557740009 (pp68)
 r2=49059575445962897342059554987416196312658920843681835646967035583187 (pp68)
Version: Msieve-1.38
Total time: 5.50 hours.
Scaled time: 0.00 units (timescale=2.952).
Factorization parameters were as follows:
n: 1206957756478523251686190983315583954561590344337948171813986510472133475328363507277245296414625488107916222932197373091941782037628683
m: 2000000000000000000000000000
deg: 5
c5: 425
c0: 44
skew: 0.64
type: snfs
lss: 1
rlim: 1460000
alim: 1460000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.4
alambda: 2.4
Factor base limits: 1460000/1460000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [730000, 1630001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 240114 x 240356
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,1460000,1460000,26,26,48,48,2.4,2.4,150000
total time: 5.50 hours.

26969415745753727163539141315520967057760555553084681142378412611013660696795325779528375245324414915599415694281803994657983796637<131>

334616317985480536983994258642411534504181<42>
80598029134143922014930835608991813141358557739630559737319918330172366613804758172608777<89>

Number: 37779_138
N=26969415745753727163539141315520967057760555553084681142378412611013660696795325779528375245324414915599415694281803994657983796637
  ( 131 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=334616317985480536983994258642411534504181 (pp42)
 r2=80598029134143922014930835608991813141358557739630559737319918330172366613804758172608777 (pp89)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 11.59 hours.
Scaled time: 29.73 units (timescale=2.564).
Factorization parameters were as follows:
name: 37779_138
n: 26969415745753727163539141315520967057760555553084681142378412611013660696795325779528375245324414915599415694281803994657983796637
m: 5000000000000000000000000000
deg: 5
c5: 272
c0: 275
skew: 1.00
type: snfs
lss: 1
rlim: 1560000
alim: 1560000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [780000, 1680001)
Primes: RFBsize:118376, AFBsize:118390, largePrimes:4197288 encountered
Relations: rels:4867657, finalFF:874717
Max relations in full relation-set: 28
Initial matrix: 236833 x 874717 with sparse part having weight 87846157.
Pruned matrix : 157212 x 158460 with weight 21375811.
Total sieving time: 11.28 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1560000,1560000,26,26,48,48,2.3,2.3,100000
total time: 11.59 hours.
 --------- CPU info (if available) ----------

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

14890692334124013938426445413695471439527746160882064829320446619056609555256489725739314484031578937209695694518373562136729931809<131>

5286853178190512842446697555047849243640583<43>
2816551137745142953027574742897451096765053262076789526378442459821368042472899695804823<88>

Number: 37779_140
N=14890692334124013938426445413695471439527746160882064829320446619056609555256489725739314484031578937209695694518373562136729931809
  ( 131 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=5286853178190512842446697555047849243640583 (pp43)
 r2=2816551137745142953027574742897451096765053262076789526378442459821368042472899695804823 (pp88)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 11.70 hours.
Scaled time: 30.12 units (timescale=2.575).
Factorization parameters were as follows:
name: 37779_140
n: 14890692334124013938426445413695471439527746160882064829320446619056609555256489725739314484031578937209695694518373562136729931809
m: 10000000000000000000000000000
deg: 5
c5: 34
c0: 11
skew: 0.80
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [800000, 1700001)
Primes: RFBsize:121127, AFBsize:121741, largePrimes:4134768 encountered
Relations: rels:4641289, finalFF:712757
Max relations in full relation-set: 28
Initial matrix: 242934 x 712757 with sparse part having weight 74251615.
Pruned matrix : 167601 x 168879 with weight 21800021.
Total sieving time: 11.36 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1600000,1600000,26,26,48,48,2.3,2.3,100000
total time: 11.70 hours.
 --------- CPU info (if available) ----------

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

4557029888754858598043157753652325425546173435196354376088996113121565473797078139659563061251842916499128803109502747620962337488272349551<139>

39514398764869549287206850885745348933<38>
115325806065567829009781861388333198225804023813540351062894513229056794230954742920893255484355270947<102>

SNFS difficulty: 143 digits.
Divisors found:
 r1=39514398764869549287206850885745348933 (pp38)
 r2=115325806065567829009781861388333198225804023813540351062894513229056794230954742920893255484355270947 (pp102)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.951).
Factorization parameters were as follows:
n: 4557029888754858598043157753652325425546173435196354376088996113121565473797078139659563061251842916499128803109502747620962337488272349551
m: 20000000000000000000000000000
deg: 5
c5: 85
c0: 88
skew: 1
type: snfs
lss: 1
rlim: 1720000
alim: 1720000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.4
alambda: 2.4
Factor base limits: 1720000/1720000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [860000, 1860001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 322040 x 322288
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,1720000,1720000,26,26,48,48,2.4,2.4,200000
total time: 6.00 hours.

Opteron-2.6GHz; Linux x86_64

597948633029211174851231113187237676941838192499547749899828887569251049288932753419594475286864042539371272045997382709663807<126>

136061100348900004453193777393<30>
4394706727315139875544870349149726531886612053921328903129416402633146507216189846137880348388399<97>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=452164895
Step 1 took 12205ms
Step 2 took 4977ms
********** Factor found in step 2: 136061100348900004453193777393
Found probable prime factor of 30 digits: 136061100348900004453193777393
Probable prime cofactor 4394706727315139875544870349149726531886612053921328903129416402633146507216189846137880348388399 has 97 digits

GMP-ECM 6.2.1

6162769621170926228022475983324270436831611382998006162769621170926228022475983324270436831611382998006162769621170926228022475983324270436831611383<148>

5474723484518379372701766368967546866644000693<46>
1125676874566949097792931739812198215757230882784080543645476831099365405414404627756124731207967774331<103>

SNFS difficulty: 151 digits.
Divisors found:
 r1=5474723484518379372701766368967546866644000693 (pp46)
 r2=1125676874566949097792931739812198215757230882784080543645476831099365405414404627756124731207967774331 (pp103)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.530).
Factorization parameters were as follows:
n: 6162769621170926228022475983324270436831611382998006162769621170926228022475983324270436831611382998006162769621170926228022475983324270436831611383
m: 1000000000000000000000000000000
deg: 5
c5: 34
c0: 11
skew: 0.80
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
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: 52/52
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 : 475351 x 475599
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,52,52,2.4,2.4,100000
total time: 9.00 hours.

Xeon-2.4GHz; Linux x86_64

3427172662253542845055547601506954394542627049944445946406003652148757006249652632130363288851300450068300286200988363535359410972548612281<139>

1367414235817844393835674902661<31>
2506316354241965358478287885021487172210327240182297461454627912939386465253844371489098898542813986043072421<109>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=415686968
Step 1 took 6275ms
Step 2 took 4400ms
********** Factor found in step 2: 1367414235817844393835674902661
Found probable prime factor of 31 digits: 1367414235817844393835674902661
Probable prime cofactor 2506316354241965358478287885021487172210327240182297461454627912939386465253844371489098898542813986043072421 has 109 digits

GMP-ECM 6.2.1

8765145656096932199020366073730342871874194379994844031967001804588811549368393915957721062129414797628254704820830110853312709461201340551688579530806909<154>

20428085369379755054381161567133<32>

429073283061331887029373538382779736581251147921326448030495788175194522967423873919288084893891002909527976603344608741473<123>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2478402618
Step 1 took 6442ms
Step 2 took 4452ms
********** Factor found in step 2: 20428085369379755054381161567133
Found probable prime factor of 32 digits: 20428085369379755054381161567133
Composite cofactor 429073283061331887029373538382779736581251147921326448030495788175194522967423873919288084893891002909527976603344608741473 has 123 digits

GMP-ECM 6.2.1

429073283061331887029373538382779736581251147921326448030495788175194522967423873919288084893891002909527976603344608741473<123>

1641290498119364233612216509348496842037<40>
261424338685306378465746420265055797130828604401971263690053114734342542603363295229<84>

Number: 37779_156
N=429073283061331887029373538382779736581251147921326448030495788175194522967423873919288084893891002909527976603344608741473
  ( 123 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=1641290498119364233612216509348496842037 (pp40)
 r2=261424338685306378465746420265055797130828604401971263690053114734342542603363295229 (pp84)
Version: GGNFS-0.77.1-20060513-k8
Total time: 50.25 hours.
Scaled time: 98.85 units (timescale=1.967).
Factorization parameters were as follows:
name: 37779_156
n: 429073283061331887029373538382779736581251147921326448030495788175194522967423873919288084893891002909527976603344608741473
m: 20000000000000000000000000000000
deg: 5
c5: 85
c0: 88
skew: 1.01
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 3050001)
Primes: RFBsize:223492, AFBsize:224096, largePrimes:8479610 encountered
Relations: rels:9014923, finalFF:825935
Max relations in full relation-set: 28
Initial matrix: 447655 x 825935 with sparse part having weight 98632766.
Pruned matrix : 343747 x 346049 with weight 49427794.
Total sieving time: 47.33 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 2.44 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 50.25 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

192513239084831126427408014469396118890961735454762306318816343869393433862102152227064049739804890063922442679003515268166854827647928928783<141>

56960796213499206995819411589421<32>
653999055531658257880633332837128587<36>
5167820598800979524424252379458124776983707013484074238580352480196575329<73>

Number: 37779_159
N=192513239084831126427408014469396118890961735454762306318816343869393433862102152227064049739804890063922442679003515268166854827647928928783
  ( 141 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=56960796213499206995819411589421 (pp32)
 r2=653999055531658257880633332837128587 (pp36)
 r3=5167820598800979524424252379458124776983707013484074238580352480196575329 (pp73)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 45.26 hours.
Scaled time: 116.53 units (timescale=2.575).
Factorization parameters were as follows:
name: 37779_159
n: 192513239084831126427408014469396118890961735454762306318816343869393433862102152227064049739804890063922442679003515268166854827647928928783
m: 100000000000000000000000000000000
deg: 5
c5: 17
c0: 55
skew: 1.26
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, 3000001)
Primes: RFBsize:243539, AFBsize:243460, largePrimes:9425000 encountered
Relations: rels:10213711, finalFF:981172
Max relations in full relation-set: 28
Initial matrix: 487064 x 981172 with sparse part having weight 116904325.
Pruned matrix : 354614 x 357113 with weight 57238682.
Total sieving time: 43.30 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.64 hours.
Time per square root: 0.16 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: 45.26 hours.
 --------- CPU info (if available) ----------

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

26600153764535908290806337502281549953406701251560705345324369707400655662495997263626535092917857708110410353530908322491814780625793652749544452807845731<155>

15640944141321185099322247466507075594820802996029162961<56>
1700674430149138207643706969225336809928813149676112024635548084053368737429115806131547880354595571<100>

Number: 37779_160
N=26600153764535908290806337502281549953406701251560705345324369707400655662495997263626535092917857708110410353530908322491814780625793652749544452807845731
  ( 155 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=15640944141321185099322247466507075594820802996029162961 (pp56)
 r2=1700674430149138207643706969225336809928813149676112024635548084053368737429115806131547880354595571 (pp100)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 45.26 hours.
Scaled time: 116.05 units (timescale=2.564).
Factorization parameters were as follows:
name: 37779_160
n: 26600153764535908290806337502281549953406701251560705345324369707400655662495997263626535092917857708110410353530908322491814780625793652749544452807845731
m: 100000000000000000000000000000000
deg: 5
c5: 34
c0: 11
skew: 0.80
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, 3000001)
Primes: RFBsize:243539, AFBsize:244010, largePrimes:9375477 encountered
Relations: rels:10101428, finalFF:940436
Max relations in full relation-set: 28
Initial matrix: 487615 x 940436 with sparse part having weight 112572943.
Pruned matrix : 359368 x 361870 with weight 55395426.
Total sieving time: 43.31 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.63 hours.
Time per square root: 0.16 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: 45.26 hours.
 --------- CPU info (if available) ----------

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

497346291837245473892757219091134758464504760847378612032298838418479749887475401471823211531763679180630760897405797858280589027692387807818956587958690417<156>

452260176298104765469994838125306203<36>
39385795018549293522153408826555650505362558093119041313<56>
27920996888392742207968069111544861147664525260952212315370251203<65>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 497346291837245473892757219091134758464504760847378612032298838418479749887475401471823211531763679180630760897405797858280589027692387807818956587958690417 (156 digits)
Using B1=2720000, B2=4281513610, polynomial Dickson(6), sigma=232161349
Step 1 took 34781ms
Step 2 took 14375ms
********** Factor found in step 2: 452260176298104765469994838125306203
Found probable prime factor of 36 digits: 452260176298104765469994838125306203
Composite cofactor 1099690660159789190804806713972128415259313977562867994302360024355993049387317737924061850452700979364367080663344949539 has 121 digits


Number: n
N=1099690660159789190804806713972128415259313977562867994302360024355993049387317737924061850452700979364367080663344949539
  ( 121 digits)
SNFS difficulty: 162 digits.
Divisors found:

Thu Dec 11 11:21:39 2008  prp56 factor: 39385795018549293522153408826555650505362558093119041313
Thu Dec 11 11:21:39 2008  prp65 factor: 27920996888392742207968069111544861147664525260952212315370251203
Thu Dec 11 11:21:39 2008  elapsed time 02:54:48 (Msieve 1.39 - dependency 9)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 31.55 hours.
Scaled time: 57.52 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_3_7_160_9
n: 1099690660159789190804806713972128415259313977562867994302360024355993049387317737924061850452700979364367080663344949539
type: snfs
skew: 0.50
deg: 5
c5: 340
c0: 11
m: 100000000000000000000000000000000
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 3350001)
Primes: RFBsize:315948, AFBsize:316667, largePrimes:16423876 encountered
Relations: rels:14735760, finalFF:661281
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1689980 hash collisions in 16193584 relations
Msieve: matrix is 714185 x 714433 (191.3 MB)

Total sieving time: 31.04 hours.
Total relation processing time: 0.51 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4500000,4500000,28,28,56,56,2.5,2.5,100000
total time: 31.55 hours.
 --------- CPU info (if available) ----------

174947165570084969111199809324055144190450489414438407069215669509244231383495203455552297936422543179263076126164877340502997490707076703922746130838899599<156>

67124546794083294248340603185287579<35>

2606306841918308784669025209898688038053573715705451307168694698444179234703434235423308619590868129220762915004730308381<121>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2188203815
Step 1 took 24769ms
Step 2 took 16445ms
********** Factor found in step 2: 67124546794083294248340603185287579
Found probable prime factor of 35 digits: 67124546794083294248340603185287579
Composite cofactor has 121 digits

GMP-ECM 6.2.1

2606306841918308784669025209898688038053573715705451307168694698444179234703434235423308619590868129220762915004730308381<121>

106851167940478740045730236724328448611032403830368245522011<60>
24391935925025616413012597364043838783569401954353983491549671<62>

Number: 37779_162
N=2606306841918308784669025209898688038053573715705451307168694698444179234703434235423308619590868129220762915004730308381
  ( 121 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=106851167940478740045730236724328448611032403830368245522011 (pp60)
 r2=24391935925025616413012597364043838783569401954353983491549671 (pp62)
Version: Msieve v. 1.42
Total time: 59.21 hours.
Scaled time: 23.39 units (timescale=0.395).
Factorization parameters were as follows:
n: 2606306841918308784669025209898688038053573715705451307168694698444179234703434235423308619590868129220762915004730308381
m: 200000000000000000000000000000000
deg: 5
c5: 425
c0: 44
skew: 0.64
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 4100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 728523 x 728749
Total sieving time: 56.59 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 2.13 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 59.21 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

3770077842856728983244188566595829222220655286859065971799518459592326778034149820482284363677766983<100>

538538060804192975491860866957<30>
7000578264100615505009002316587714144643825814097360015482214397616419<70>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=384210140
Step 1 took 12933ms
Step 2 took 10623ms
********** Factor found in step 2: 538538060804192975491860866957
Found probable prime factor of 30 digits: 538538060804192975491860866957
Probable prime cofactor 7000578264100615505009002316587714144643825814097360015482214397616419 has 70 digits

GMP-ECM 6.2.1

27453356418408572643857693062662714781848689852313239957734007486674021695384722507363682581215084634583871749164999906783743184612421503819077187673614470867<158>

132305034338835795699004205791407388620792643<45>
547267159590746377431429613203845746240770116543947<51>
379157534695536082042970312038325842573501978968316577268679027<63>

SNFS difficulty: 166 digits.
Divisors found:
 r1=132305034338835795699004205791407388620792643 (pp45)
 r2=547267159590746377431429613203845746240770116543947 (pp51)
 r3=379157534695536082042970312038325842573501978968316577268679027 (pp63)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.726).
Factorization parameters were as follows:
n: 27453356418408572643857693062662714781848689852313239957734007486674021695384722507363682581215084634583871749164999906783743184612421503819077187673614470867
m: 1000000000000000000000000000000000
deg: 5
c5: 34
c0: 11
skew: 0.80
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2100000, 4000001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 732615 x 732863
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,52,52,2.4,2.4,100000
total time: 27.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

56881012687816116882509529469225512722853884217827165715545764590324915101749318460398051179992115444952447748972611232406682686285021225138144952835987<152>

7433469121613363106548924286466391259517809872867192997109258626823<67>
7652014390216588291222042775069211091736777411099684795795933848178270670770807272469<85>

Number: 37779_166
N=56881012687816116882509529469225512722853884217827165715545764590324915101749318460398051179992115444952447748972611232406682686285021225138144952835987
  ( 152 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=7433469121613363106548924286466391259517809872867192997109258626823 (pp67)
 r2=7652014390216588291222042775069211091736777411099684795795933848178270670770807272469 (pp85)
Version: Msieve-1.39
Total time: 52.08 hours.
Scaled time: 133.90 units (timescale=2.571).
Factorization parameters were as follows:
n: 56881012687816116882509529469225512722853884217827165715545764590324915101749318460398051179992115444952447748972611232406682686285021225138144952835987
m: 2000000000000000000000000000000000
deg: 5
c5: 85
c0: 88
skew: 1.01
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2250000, 4850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 851783 x 852031
Total sieving time: 52.08 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,168,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000
total time: 52.08 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

126125999778607480690246033713828018537651058546696590725316441020016541300976869122526673281587490530406309722393433830705401<126>

21007045637904397929220783078171057473056938111949250991<56>
6003985612856955994763940375687682631208042011489199930435766202839511<70>

Number: 37779_168
N=126125999778607480690246033713828018537651058546696590725316441020016541300976869122526673281587490530406309722393433830705401
  ( 126 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=21007045637904397929220783078171057473056938111949250991
 r2=6003985612856955994763940375687682631208042011489199930435766202839511
Version: 
Total time: 32.90 hours.
Scaled time: 78.31 units (timescale=2.380).
Factorization parameters were as follows:
n: 126125999778607480690246033713828018537651058546696590725316441020016541300976869122526673281587490530406309722393433830705401
m: 10000000000000000000000000000000000
deg: 5
c5: 17
c0: 550
skew: 2.00
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 5400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10879636
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 958587 x 958835
Total sieving time: 29.47 hours.
Total relation processing time: 1.34 hours.
Matrix solve time: 1.97 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000
total time: 32.90 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.. 5347.57 BogoMIPS (lpj=2673789)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672379)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

549870469179809804400773189900652481997984884146536985427414341642160967172160491609374388356461473305517418822641431219841707<126>

18996040647697883281745471417581144798771086079754053<53>
28946583100012908073644120379111826298817121794389208345765758626662639919<74>

Number: 37779_169
N=549870469179809804400773189900652481997984884146536985427414341642160967172160491609374388356461473305517418822641431219841707
  ( 126 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=18996040647697883281745471417581144798771086079754053
 r2=28946583100012908073644120379111826298817121794389208345765758626662639919
Version: 
Total time: 35.34 hours.
Scaled time: 84.18 units (timescale=2.382).
Factorization parameters were as follows:
n: 549870469179809804400773189900652481997984884146536985427414341642160967172160491609374388356461473305517418822641431219841707
m: 10000000000000000000000000000000000
deg: 5
c5: 17
c0: 55
skew: 1.26
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 5600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11191619
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 933173 x 933421
Total sieving time: 32.04 hours.
Total relation processing time: 1.13 hours.
Matrix solve time: 1.94 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000
total time: 35.34 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.. 5347.57 BogoMIPS (lpj=2673789)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672386)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672380)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

80557875072509320580432847409041478388552370097817127697112330922281865874217845956205615080925974778861713164128063828797507864602611598804588191<146>

5949365760417332575874777487329<31>
338927312633634574452868348574459<33>
39951286071499425676165028250701904891033092637792693030891274330699036140072514381<83>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1331521538
Step 1 took 15177ms
Step 2 took 11309ms
********** Factor found in step 2: 338927312633634574452868348574459
Found probable prime factor of 33 digits: 338927312633634574452868348574459

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1686472867
Step 1 took 14489ms
Step 2 took 11065ms
********** Factor found in step 2: 5949365760417332575874777487329
Found probable prime factor of 31 digits: 5949365760417332575874777487329

GMP-ECM 6.2.1

32709339293295653405389161183476271106949633991618747095363256042686944231211075637390850182455576410290605734321924801278797776521913329995119050282353380367257<161>

13399547216048116206746496990163592721856158829124504594553373<62>
2441077953299866038839432759567807758029461670857114077392486299910968603071411404050302508894875309<100>

Number: 37779_172
N=32709339293295653405389161183476271106949633991618747095363256042686944231211075637390850182455576410290605734321924801278797776521913329995119050282353380367257
  ( 161 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=13399547216048116206746496990163592721856158829124504594553373 (pp62)
 r2=2441077953299866038839432759567807758029461670857114077392486299910968603071411404050302508894875309 (pp100)
Version: Msieve-1.40
Total time: 85.38 hours.
Scaled time: 148.47 units (timescale=1.739).
Factorization parameters were as follows:
n: 32709339293295653405389161183476271106949633991618747095363256042686944231211075637390850182455576410290605734321924801278797776521913329995119050282353380367257
m: 20000000000000000000000000000000000
deg: 5
c5: 425
c0: 44
skew: 0.64
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 7300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1195146 x 1195392
Total sieving time: 82.40 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.91 hours.
Time per square root: 0.97 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 85.38 hours.

GGNFS, Msieve

1853402456630492558127118803852059915152698617498548613133993552867599602115925220702708681319979015474251276522911377073129586734792008446269142483<148>

33356516879350872097959604347349217261<38>
55563428979535597429283367913886066893955421083855121284705414022229840742979307014569462000972114986360128703<110>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=158554100
Step 1 took 6232ms
Step 2 took 4523ms
********** Factor found in step 2: 33356516879350872097959604347349217261
Found probable prime factor of 38 digits: 33356516879350872097959604347349217261
Probable prime cofactor 55563428979535597429283367913886066893955421083855121284705414022229840742979307014569462000972114986360128703 has 110 digits

GMP-ECM 6.2.1

55711834073276839385347213077169408935319273001299635563718820035397247399670361717936846760156650952689449456046232914456706271335921019126314996346933377527<158>

871262030956586718476929020328982046964678693<45>
63943833305933253761085814975906493936986488115559973784320240741833923834982072049153780500007631755976072034539<113>

Number: 37779_174
N=55711834073276839385347213077169408935319273001299635563718820035397247399670361717936846760156650952689449456046232914456706271335921019126314996346933377527
  ( 158 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=871262030956586718476929020328982046964678693
 r2=63943833305933253761085814975906493936986488115559973784320240741833923834982072049153780500007631755976072034539
Version: 
Total time: 136.15 hours.
Scaled time: 273.80 units (timescale=2.011).
Factorization parameters were as follows:
n: 55711834073276839385347213077169408935319273001299635563718820035397247399670361717936846760156650952689449456046232914456706271335921019126314996346933377527
m: 20000000000000000000000000000000000
deg: 5
c5: 10625
c0: 11
skew: 0.25
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2950000, 7050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 989355 x 989603
Total sieving time: 136.15 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,175,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 136.15 hours.
 --------- CPU info (if available) ----------

2813179309163691635275054395058068182368089251924316182524672130643772094788707021714470844861307348981853603601265338624801412126545379<136>

105493503227471151710342078335819475754116367630927754652711191<63>
26666848887345724090561940482203141702676554180635283322652939197456085269<74>

Number: n
N=2813179309163691635275054395058068182368089251924316182524672130643772094788707021714470844861307348981853603601265338624801412126545379
  ( 136 digits)
Divisors found:

Thu May 31 08:39:12 2012  prp63 factor: 105493503227471151710342078335819475754116367630927754652711191
Thu May 31 08:39:12 2012  prp74 factor: 26666848887345724090561940482203141702676554180635283322652939197456085269
Thu May 31 08:39:12 2012  elapsed time 05:53:37 (Msieve 1.44 - dependency 5)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.081).
Factorization parameters were as follows:
name: KA_37779_176
n: 2813179309163691635275054395058068182368089251924316182524672130643772094788707021714470844861307348981853603601265338624801412126545379
skew: 298166.27
# norm 3.19e+18
c5: 79200
c4: -47150512008
c3: 33314873291235222
c2: 889968375136429360453
c1: -1508276048311684770928584582
c0: -105850170405602768876612688023005
# alpha -6.07
Y1: 1235046128476769
Y0: -128853120999717859761382278
# Murphy_E 3.80e-11
# M 1125487664006080767608788268780880889273361176483583988352807441867363465141085708598416321085127132970758342898191309295869143139384176
type: gnfs
rlim: 20000000
alim: 20000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 16540000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 5519139 hash collisions in 29750871 relations (24531054 unique)
Msieve: matrix is 1582719 x 1582947 (457.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,135,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,20000000,20000000,28,28,55,55,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

204557157356946480854143415213813486595652853694880759651666994858624191869065841613156672300821229211534964064348803326163217443695772089766633880231<150>

23790888888083088808633102675450246635895790592566080543131784503193<68>
8598130079091312700741291998144179687278150164163586820217023170133564393167279167<82>

N=204557157356946480854143415213813486595652853694880759651666994858624191869065841613156672300821229211534964064348803326163217443695772089766633880231
  ( 150 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=23790888888083088808633102675450246635895790592566080543131784503193 (pp68)
 r2=8598130079091312700741291998144179687278150164163586820217023170133564393167279167 (pp82)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 99.51 hours.
Scaled time: 191.56 units (timescale=1.925).
Factorization parameters were as follows:
n: 204557157356946480854143415213813486595652853694880759651666994858624191869065841613156672300821229211534964064348803326163217443695772089766633880231
m: 100000000000000000000000000000000000
deg: 5
c5: 34000
c0: 11
skew: 0.20
# Murphy_E = 1.035e-10
type: snfs
lss: 1
rlim: 6900000
alim: 6900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 6900000/6900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3450000, 8650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1168654 x 1168880
Total sieving time: 97.68 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 1.37 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6900000,6900000,28,28,53,53,2.5,2.5,100000
total time: 99.51 hours.
 --------- CPU info (if available) ----------

404028458031595265237254488283314606271517735653715183507069029806579687268533937968981884397825905537046596508372583605832782942784324656446487455426232223<156>

14288866482636506091536998811553811470825902159107193361429611288914520083<74>
28275752910320852158064153112279375730920451968428231923517603068612087083661808581<83>

N=404028458031595265237254488283314606271517735653715183507069029806579687268533937968981884397825905537046596508372583605832782942784324656446487455426232223
  ( 156 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=14288866482636506091536998811553811470825902159107193361429611288914520083 (pp74)
 r2=28275752910320852158064153112279375730920451968428231923517603068612087083661808581 (pp83)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 112.82 hours.
Scaled time: 206.69 units (timescale=1.832).
Factorization parameters were as follows:
n: 404028458031595265237254488283314606271517735653715183507069029806579687268533937968981884397825905537046596508372583605832782942784324656446487455426232223
m: 1000000000000000000000000000000000000
deg: 5
c5: 17
c0: 55
skew: 1.26
# Murphy_E = 9.991e-11
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3650000, 9250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1395668 x 1395902
Total sieving time: 105.57 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 6.96 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 112.82 hours.
 --------- CPU info (if available) ----------

3777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<181>

5574632468914608146858989470643476643459042798240453257348585029<64>
677672976441677150691405869835421581232568399868727814349136619956892166941871909050801747283982312193551902356049751<117>

Number: n
N=3777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
  ( 181 digits)
SNFS difficulty: 181 digits.
Divisors found:

Sat Dec 13 03:26:24 2008  prp64 factor: 5574632468914608146858989470643476643459042798240453257348585029
Sat Dec 13 03:26:24 2008  prp117 factor: 677672976441677150691405869835421581232568399868727814349136619956892166941871909050801747283982312193551902356049751
Sat Dec 13 03:26:24 2008  elapsed time 03:25:41 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20050930-k8
Total time: 37.44 hours.
Scaled time: 75.29 units (timescale=2.011).
Factorization parameters were as follows:
name: KA_3_7_179_9
n: 3777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
type: snfs
skew: 0.80
deg: 5
c5: 34
c0: 11
m: 1000000000000000000000000000000000000
rlim: 8500000
alim: 8500000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 2900077)
Primes: RFBsize:571119, AFBsize:571308, largePrimes:28026071 encountered
Relations: rels:25436113, finalFF:1245495
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: 26132343 relations and about 26488749 large ideals
Msieve: matrix is 1120238 x 1120486 (303.3 MB)

Total sieving time: 36.85 hours.
Total relation processing time: 0.58 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,8500000,8500000,29,29,58,58,2.5,2.5,100000
total time: 37.44 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 3321556k/3407296k available (2912k kernel code, 84428k reserved, 1794k data, 1544k init, 2502088k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.98 BogoMIPS (lpj=2830490)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462)
Total of 4 processors activated (22643.71 BogoMIPS).

2869981515042606379055563442019941450338752962945572009499566201486632038085489784737255347986847053690332378379588941073332256130613620743835333665234220840775417521663<169>

30573458093895943159715711832540359718349<41>
93871668236822853142197850466588711564936093483270939017013669219316782796615989304676032166930192321283026832613776066611969787<128>

N=2869981515042606379055563442019941450338752962945572009499566201486632038085489784737255347986847053690332378379588941073332256130613620743835333665234220840775417521663
  ( 169 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=30573458093895943159715711832540359718349 (pp41)
 r2=93871668236822853142197850466588711564936093483270939017013669219316782796615989304676032166930192321283026832613776066611969787 (pp128)
Version: Msieve v. 1.47
Total time:
Scaled time: 78.28 units (timescale=1.861).
Factorization parameters were as follows:
n: 2869981515042606379055563442019941450338752962945572009499566201486632038085489784737255347986847053690332378379588941073332256130613620743835333665234220840775417521663
m: 1000000000000000000000000000000000000
deg: 5
c5: 3400
c0: 11
skew: 0.32
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4000000, 13200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1833237 x 1833480
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time:

8921838768232879393261543048099254917434112681056371065290864662115792473229166080389664137959521253578962564804675170788738398632407629279291875816296321<154>

1725654345624579851537080952513256030063784273<46>
5170119259893688080093548800749618164270114694598258164337972134503577775272620264534821317140876547423760177<109>

N=8921838768232879393261543048099254917434112681056371065290864662115792473229166080389664137959521253578962564804675170788738398632407629279291875816296321
  ( 154 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=1725654345624579851537080952513256030063784273 (pp46)
 r2=5170119259893688080093548800749618164270114694598258164337972134503577775272620264534821317140876547423760177 (pp109)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 144.56 hours.
Scaled time: 274.38 units (timescale=1.898).
Factorization parameters were as follows:
n: 8921838768232879393261543048099254917434112681056371065290864662115792473229166080389664137959521253578962564804675170788738398632407629279291875816296321
m: 1000000000000000000000000000000000000
deg: 5
c5: 34000
c0: 11
skew: 0.20
# Murphy_E = 6.507e-11
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4150000, 11350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1656158 x 1656391
Total sieving time: 141.58 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 2.63 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000
total time: 144.56 hours.
 --------- CPU info (if available) ----------

1798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941799<184>

3153381182245925815602116031604202495320047121667445799461559645437791<70>
570480286072025881760890891024077848976969633603699632299856594817956338766406814897528070489702511123803391082489<114>

Number: n
N=1798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941799
  ( 184 digits)
SNFS difficulty: 186 digits.
Divisors found:

Wed Dec 17 12:43:05 2008  prp70 factor: 3153381182245925815602116031604202495320047121667445799461559645437791
Wed Dec 17 12:43:05 2008  prp114 factor: 570480286072025881760890891024077848976969633603699632299856594817956338766406814897528070489702511123803391082489
Wed Dec 17 12:43:05 2008  elapsed time 04:13:42 (Msieve 1.39 - dependency 4)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 28.87 hours.
Scaled time: 59.05 units (timescale=2.045).
Factorization parameters were as follows:
name: KA_3_7_183_9
n: 1798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941799
type: snfs
skew: 1.26
deg: 5
c5: 17
c0: 55
m: 10000000000000000000000000000000000000
rlim: 8500000
alim: 8500000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 4550001)
Primes: RFBsize:571119, AFBsize:571718, largePrimes:31863919 encountered
Relations: rels:29900533, finalFF:1289293
Max relations in full relation-set: 28
Initial matrix: 1142902 x 1289291 with sparse part having weight 139239900.
Pruned matrix : 1020687 x 1026465 with weight 109219622.

Msieve: found 5898080 hash collisions in 35099131 relations
Msieve: matrix is 1215906 x 1216154 (330.1 MB)

Total sieving time: 27.66 hours.
Total relation processing time: 1.21 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8500000,8500000,29,29,58,58,2.5,2.5,100000
total time: 28.87 hours.
 --------- CPU info (if available) ----------

363597476205753395358785156667736071008448294300074858303924713934338573414608063308737033472355897764944925676398246176879478130681210565714896802481018072933376109507004598438669661<183>

553108953256060747840665463564358923<36>
84899358098754026519470500100735842692276241566795948069<56>
7742937698796390773077022171625908268690825320600198553953076059596260413718230752249653803<91>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 363597476205753395358785156667736071008448294300074858303924713934338573414608063308737033472355897764944925676398246176879478130681210565714896802481018072933376109507004598438669661 (183 digits)
Using B1=1830000, B2=1986068894, polynomial Dickson(6), sigma=2182743119
Step 1 took 41688ms
Step 2 took 20734ms
********** Factor found in step 2: 553108953256060747840665463564358923
Found probable prime factor of 36 digits: 553108953256060747840665463564358923
Composite cofactor 657370440426457224196909528676015642805819843550172264758862997221749950147843630565666366392439605388006719253164554952138526942848104848416356407 has 147 digits


Number: n
N=657370440426457224196909528676015642805819843550172264758862997221749950147843630565666366392439605388006719253164554952138526942848104848416356407
  ( 147 digits)
SNFS difficulty: 186 digits.
Divisors found:

Wed Dec 24 13:32:23 2008  prp56 factor: 84899358098754026519470500100735842692276241566795948069
Wed Dec 24 13:32:23 2008  prp91 factor: 7742937698796390773077022171625908268690825320600198553953076059596260413718230752249653803
Wed Dec 24 13:32:23 2008  elapsed time 20:34:53 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 70.68 hours.
Scaled time: 46.58 units (timescale=0.659).
Factorization parameters were as follows:
name: KA_3_7_184_9
n: 657370440426457224196909528676015642805819843550172264758862997221749950147843630565666366392439605388006719253164554952138526942848104848416356407
type: snfs
skew: 0.80
deg: 5
c5: 34
c0: 11
m: 10000000000000000000000000000000000000
rlim: 8500000
alim: 8500000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 3150001)
Primes: RFBsize:571119, AFBsize:571308, largePrimes:32711526 encountered
Relations: rels:29594547, finalFF:1086092
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4539192 hash collisions in 33167915 relations
Msieve: matrix is 1455727 x 1455975 (395.1 MB)

Total sieving time: 68.38 hours.
Total relation processing time: 2.30 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8500000,8500000,29,29,58,58,2.5,2.5,100000
total time: 70.68 hours.
 --------- CPU info (if available) ----------

346895849181743058508789373565936550569444909060589917286949927192448103920739590348428597573865625340925471180242060512965673273221674309572797400691530208363<159>

10814380909580603832865415013640151<35>
32077273038757439502227946351326334158873254442164989291984478067428460172208338111517326174859166416312314024377270067926413<125>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4005143672
Step 1 took 59781ms
Step 2 took 22775ms
********** Factor found in step 2: 10814380909580603832865415013640151
Found probable prime factor of 35 digits: 10814380909580603832865415013640151
Probable prime cofactor 32077273038757439502227946351326334158873254442164989291984478067428460172208338111517326174859166416312314024377270067926413 has 125 digits

16815507335912327620899381039951420626327299945596055750617418185546570073053404030142074417090484474060608622183857148888288106326800343956709614111579386048915576631<167>

141522473677954575496709305193<30>

118818636354373834678341129976690275885036383831189369268516472576592786183983394505260652754963952768044196554737946327636300583734935967<138>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2017253979
Step 1 took 8272ms
Step 2 took 192ms
********** Factor found in step 2: 141522473677954575496709305193
Found probable prime factor of 30 digits: 141522473677954575496709305193
Composite cofactor 118818636354373834678341129976690275885036383831189369268516472576592786183983394505260652754963952768044196554737946327636300583734935967 has 138 digits

GMP-ECM 6.2.1

118818636354373834678341129976690275885036383831189369268516472576592786183983394505260652754963952768044196554737946327636300583734935967<138>

365021864306737230644472625478203133<36>
325511011730868505991011219543030124578864016134756641721660178929408642696335008497093839603429962699<102>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4259421936
Step 1 took 48545ms
Step 2 took 19873ms
********** Factor found in step 2: 365021864306737230644472625478203133
Found probable prime factor of 36 digits: 365021864306737230644472625478203133
Probable prime cofactor 325511011730868505991011219543030124578864016134756641721660178929408642696335008497093839603429962699 has 102 digits

79648989412479693485246535783946839629412595783642631085582027097980363442235335471125678281920569320053131403280023343004928473062849054883853500762599703069077727480508717<173>

357781113701518234380868750508244311951238222888642101437<57>
222619323274082885652345959293548017638031197429771911931120030220889199754811371777266820862976732782907589338075441<117>

N=79648989412479693485246535783946839629412595783642631085582027097980363442235335471125678281920569320053131403280023343004928473062849054883853500762599703069077727480508717
  ( 173 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=357781113701518234380868750508244311951238222888642101437 (pp57)
 r2=222619323274082885652345959293548017638031197429771911931120030220889199754811371777266820862976732782907589338075441 (pp117)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 273.57 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 79648989412479693485246535783946839629412595783642631085582027097980363442235335471125678281920569320053131403280023343004928473062849054883853500762599703069077727480508717
m: 100000000000000000000000000000000000000
deg: 5
c5: 17
c0: 55
skew: 1.26
# Murphy_E = 3.908e-11
type: snfs
lss: 1
rlim: 10800000
alim: 10800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 10800000/10800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5400000, 16800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2227959 x 2228185
Total sieving time: 267.17 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 5.66 hours.
Time per square root: 0.48 hours.
Prototype def-par.txt line would be:
snfs,191.000,5,0,0,0,0,0,0,0,0,10800000,10800000,28,28,54,54,2.5,2.5,100000
total time: 273.57 hours.

756236373443160421453035121713600323765358409279729564246893368867908079643552806026560336377896698009718785518696985667083469908299<132>

120026378003113347218196971409257395549<39>

6300584804979656332522486024330108364763076187442062528945022670680294571785341216951168599751<94>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=314363672
Step 1 took 40842ms
Step 2 took 15087ms
********** Factor found in step 2: 120026378003113347218196971409257395549
Found probable prime factor of 39 digits: 120026378003113347218196971409257395549
Composite cofactor 6300584804979656332522486024330108364763076187442062528945022670680294571785341216951168599751 has 94 digits

6300584804979656332522486024330108364763076187442062528945022670680294571785341216951168599751<94>

5576459049616245331794588700591305015687512059<46>
1129854043384976187722965516017107068808930983589<49>

N=6300584804979656332522486024330108364763076187442062528945022670680294571785341216951168599751
  ( 94 digits)
Divisors found:
 r1=5576459049616245331794588700591305015687512059 (pp46)
 r2=1129854043384976187722965516017107068808930983589 (pp49)
Version: Msieve-1.41
Total time: 1.82 hours.
Scaled time: 5.19 units (timescale=2.847).
Factorization parameters were as follows:
name: t
n:  6300584804979656332522486024330108364763076187442062528945022670680294571785341216951168599751
m:  2977730393083962263171
deg: 4
c4: 80138160
c3: 449063211
c2: -104636056272405988
c1: 116041174740284550030
c0: -88597242062159449752
skew: 1635.250
type: gnfs
# adj. I(F,S) = 55.529
# E(F1,F2) = 5.303132e-05
# GGNFS version 0.77.1-20060722-k8 polyselect.
# Options were:
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1238954774.
# 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, 1200001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 158994 x 159221
Polynomial selection time: 0.17 hours.
Total sieving time: 1.55 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,93,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 1.82 hours.

Msieve-1.41

Phenom II X4 940/openSUSE/x86_64

968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968661<192>

73872414964991438154457483704634845335532705457402330595616523903<65>
13112620849338994250152717854469097344358167518774155826832299075626325663630475733433075729484006608794021173456736425417519787<128>

Number: 37779_193
N=968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968661
  ( 192 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=73872414964991438154457483704634845335532705457402330595616523903
 r2=13112620849338994250152717854469097344358167518774155826832299075626325663630475733433075729484006608794021173456736425417519787
Version: 
Total time: 628.47 hours.
Scaled time: 1191.57 units (timescale=1.896).
Factorization parameters were as follows:
n: 968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968660968661
m: 500000000000000000000000000000000000000
deg: 5
c5: 272
c0: 275
skew: 1.00
type: snfs
lss: 1
rlim: 12900000
alim: 12900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6450000, 13550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2002769 x 2003017
Total sieving time: 628.47 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,195,5,0,0,0,0,0,0,0,0,12900000,12900000,28,28,55,55,2.5,2.5,100000
total time: 628.47 hours.
 --------- CPU info (if available) ----------

377777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<195>

2691197740780502992199450526686456932840409619277<49>
140375332534358627509741440328961748053188124694231767125239461652617980761194328247328425405232588742773325753465604320143168823613280390506804927<147>

Number: 37779_194
N=377777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
  ( 195 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=2691197740780502992199450526686456932840409619277
 r2=140375332534358627509741440328961748053188124694231767125239461652617980761194328247328425405232588742773325753465604320143168823613280390506804927
Version: 
Total time: 658.53 hours.
Scaled time: 1313.11 units (timescale=1.994).
Factorization parameters were as follows:
n: 377777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
m: 1000000000000000000000000000000000000000
deg: 5
c5: 17
c0: 55
skew: 1.26
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6500000, 13600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2061273 x 2061521
Total sieving time: 658.53 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,196,5,0,0,0,0,0,0,0,0,13000000,13000000,28,28,55,55,2.5,2.5,100000
total time: 658.53 hours.
 --------- CPU info (if available) ----------

2092981811137394221938834429524562317547876790072190108942926309884015674361264061690441564419178534292033129843488536593501832561680662372689710053462068462403152749<166>

27527335396057439103339324249372334509808621<44>
76032851746237609692333287224809767326160757994640372359920880241941399416843009296302514904427560028053388207642778819969<122>

#
# N = 34x10^197+11 = 37(196)9
#


GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2092981811137394221938834429524562317547876790072190108942926309884015674361264061690441564419178534292033129843488536593501832561680662372689710053462068462403152749 (166 digits)
Using B1=40850000, B2=192394462276, polynomial Dickson(12), sigma=1:3561299276
Step 1 took 73319ms
Step 2 took 21390ms
********** Factor found in step 2: 27527335396057439103339324249372334509808621
Found prime factor of 44 digits: 27527335396057439103339324249372334509808621
Prime cofactor 76032851746237609692333287224809767326160757994640372359920880241941399416843009296302514904427560028053388207642778819969 has 122 digits

98824172888778739734116888625450891110525612724104102473879531594442238280985748503984574715888948000938797072984141372294885118290494308343550286491565782720509172964707953<173>

487431470528644422733146459735402767<36>
202744752573318372422323054839304128700408443189463262974309331874473226300108176768945751786926898861429679103905594441113327049733804159<138>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4272672805
Step 1 took 27411ms
Step 2 took 16584ms
********** Factor found in step 2: 487431470528644422733146459735402767
Found probable prime factor of 36 digits: 487431470528644422733146459735402767
Probable prime cofactor 202744752573318372422323054839304128700408443189463262974309331874473226300108176768945751786926898861429679103905594441113327049733804159 has 138 digits

GMP-ECM 6.2.1

10953829704231791410085821414232405799739351349985969557656598455228324439483161987798208582588891428733655478700248370983706723556511294017447598431241<152>

505115346390625654716507569256692292963981636202538159086476182451120601171<75>
21685798664609889141384783674621956200009323125309041636875135643530170261171<77>

10953829704231791410085821414232405799739351349985969557656598455228324439483161987798208582588891428733655478700248370983706723556511294017447598431241=505115346390625654716507569256692292963981636202538159086476182451120601171*21685798664609889141384783674621956200009323125309041636875135643530170261171

cado polynomial
n: 10953829704231791410085821414232405799739351349985969557656598455228324439483161987798208582588891428733655478700248370983706723556511294017447598431241
skew: 1.26
type: snfs
c0: 55
c5: 17
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 17*x^5+55
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15800000
tasks.lim1 = 15800000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 21685798664609889141384783674621956200009323125309041636875135643530170261171 505115346390625654716507569256692292963981636202538159086476182451120601171
Info:Square Root: Total cpu/real time for sqrt: 989.49/316.973
Info:Square Root: Total cpu/real time for sqrt: 989.49/316.973
Info:Generate Free Relations: Total cpu/real time for freerel: 231.46/60.2063
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 202.5/241.136
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 240.6s
Info:Generate Factor Base: Total cpu/real time for makefb: 6.62/2.90554
Info:Filtering - Singleton removal: Total cpu/real time for purge: 635.24/753.362
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 47740795
Info:Lattice Sieving: Average J: 1894.36 for 4251443 special-q, max bucket fill -bkmult 1.0,1s:1.119750
Info:Lattice Sieving: Total time: 1.14176e+06s
Info:Filtering - Merging: Merged matrix has 3487316 rows and total weight 596880152 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1043.72/286.387
Info:Filtering - Merging: Total cpu/real time for replay: 142.22/124.939
Info:Linear Algebra: Total cpu/real time for bwc: 225384/57694.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 145101.0, WCT time 37024.11, iteration CPU time 0.32, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (109056 iterations)
Info:Linear Algebra: Lingen CPU time 759.96, WCT time 192.9
Info:Linear Algebra: Mksol: CPU time 78131.66,  WCT time 19957.07, iteration CPU time 0.35, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (54784 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 127.1/53.2925
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 882.44/879.611
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 716.3999999999999s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.35243e+06/118085
21685798664609889141384783674621956200009323125309041636875135643530170261171 505115346390625654716507569256692292963981636202538159086476182451120601171

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

5413674578713849589434252081985438550521055284066070864916766672590802532737804962688742787631518660999416339141909783264602272025782500764826391014355818771115703716362949315797043<181>

3106275864957336201694961142327261618863<40>
3190193936711052958505070127239129976521363998551203041<55>
546304828148536822461022977016359333068328530502908292543752656119493709515207523389021<87>

Number: n
N=5413674578713849589434252081985438550521055284066070864916766672590802532737804962688742787631518660999416339141909783264602272025782500764826391014355818771115703716362949315797043
  ( 181 digits)
SNFS difficulty: 201 digits.
Divisors found:

Sun Sep 23 03:17:45 2012  prp40 factor: 3106275864957336201694961142327261618863
Sun Sep 23 03:17:45 2012  prp55 factor: 3190193936711052958505070127239129976521363998551203041
Sun Sep 23 03:17:45 2012  prp87 factor: 546304828148536822461022977016359333068328530502908292543752656119493709515207523389021
Sun Sep 23 03:17:45 2012  elapsed time 06:19:12 (Msieve 1.44 - dependency 5)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.100).
Factorization parameters were as follows:
name: KA_37779_200
n: 5413674578713849589434252081985438550521055284066070864916766672590802532737804962688742787631518660999416339141909783264602272025782500764826391014355818771115703716362949315797043
m: 10000000000000000000000000000000000000000
#  c181, diff: 201.53
skew: 0.798
deg: 5
c5: 34
c0: 11
# Murphy_E = 1.422e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 23200000)
Primes: RFBsize:1031130, AFBsize:1030924,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9057557 hash collisions in 66211115 relations (58585853 unique)
Msieve: matrix is 1873483 x 1873709 (528.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830713)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830455)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.15 BogoMIPS).

589005985011079635670694445505521402736462905762974879362479324374101884973333013884204992030142693109639947397607849204627972472839937918076231614546306619781097311567067573590364458020685924841<195>

947638487444381399137523776727917<33>

621551354039585113776369048662467374494877397995276706501347037287825921109330099815375691340299939198266932712737822293439082110528073781426306264610059081985773<162>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3942574903
Step 1 took 35263ms
Step 2 took 21016ms
********** Factor found in step 2: 947638487444381399137523776727917
Found probable prime factor of 33 digits: 947638487444381399137523776727917
Composite cofactor 621551354039585113776369048662467374494877397995276706501347037287825921109330099815375691340299939198266932712737822293439082110528073781426306264610059081985773 has 162 digits

GMP-ECM 6.2.1

621551354039585113776369048662467374494877397995276706501347037287825921109330099815375691340299939198266932712737822293439082110528073781426306264610059081985773<162>

22962795803852915929054703659613613679734221791020487514530584303634200841<74>
27067756006230535982739405278223737388349909668807705887156003574604993423113831280653253<89>

Number: n
N=621551354039585113776369048662467374494877397995276706501347037287825921109330099815375691340299939198266932712737822293439082110528073781426306264610059081985773  ( 162 digits)
SNFS difficulty: 202 digits.
Divisors found:

Tue Nov 14 14:22:32 2023  prp74 factor: 22962795803852915929054703659613613679734221791020487514530584303634200841
Tue Nov 14 14:22:32 2023  prp89 factor: 27067756006230535982739405278223737388349909668807705887156003574604993423113831280653253
Tue Nov 14 14:22:32 2023  elapsed time 02:50:41 (Msieve 1.44 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.096).
Factorization parameters were as follows:
#
# N = 34x10^201+11 = 37(200)9
#
n: 621551354039585113776369048662467374494877397995276706501347037287825921109330099815375691340299939198266932712737822293439082110528073781426306264610059081985773
m: 10000000000000000000000000000000000000000
deg: 5
c5: 340
c0: 11
skew: 0.50
# Murphy_E = 1.113e-11
type: snfs
lss: 1
rlim: 16600000
alim: 16600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16600000/16600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 48300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3690179 hash collisions in 20144945 relations (16824020 unique)
Msieve: matrix is 2255839 x 2256064 (633.6 MB)

Sieving start time: 2023/11/13 16:18:24
Sieving end time  : 2023/11/14 11:31:24

Total sieving time: 19hrs 13min 0secs.

Total relation processing time: 2hrs 32min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 2sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16600000,16600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1564171290059470623318265631073100373308160023246774935851994615573080583405151861237289509892512591553495944110546041188982350381230056745283489531491015129067449823992713<172>

241852534709016633483041799377417<33>

6467458742747490908426758718543314878516214661999799045633580159444730768422463131124826108330789481076500407954611602955238945601019157889<139>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1984248884
Step 1 took 8287ms
Step 2 took 5223ms
********** Factor found in step 2: 241852534709016633483041799377417
Found probable prime factor of 33 digits: 241852534709016633483041799377417
Composite cofactor 6467458742747490908426758718543314878516214661999799045633580159444730768422463131124826108330789481076500407954611602955238945601019157889 has 139 digits

GMP-ECM 6.2.1

6467458742747490908426758718543314878516214661999799045633580159444730768422463131124826108330789481076500407954611602955238945601019157889<139>

1079686769799435549615969851322779813252480674739389358753527582406033<70>
5990125028529243756969763931512389043026407645831818561136584813883633<70>

~15 cpu-days of sieving, poly selected by Jeff Gilchrist

Msieve v. 1.44
Tue Mar  9 10:16:27 2010
random seeds: bdf037b9 314c77a3
factoring 6467458742747490908426758718543314878516214661999799045633580159444730768422463131124826108330789481076500407954611602955238945601019157889 (139 digits)
searching for 15-digit factors
commencing number field sieve (139-digit input)
R0: -547704007448629049153036393
R1:  3876095718751219
A0:  120962641837821114052609863091200
A1: -2239140492639842857809526700
A2: -44732134564940123623624
A3:  60787651256756811
A4:  172508127714
A5:  131220
skew 363298.70, size 2.049835e-13, alpha -6.286026, combined = 2.478820e-11

commencing relation filtering
estimated available RAM is 8010.2 MB
commencing duplicate removal, pass 1
found 18811770 hash collisions in 116486269 relations
commencing duplicate removal, pass 2
found 17218724 duplicates and 99267545 unique relations
memory use: 660.8 MB
reading ideals above 29294592
commencing singleton removal, initial pass
memory use: 3012.0 MB
reading all ideals from disk
memory use: 1771.1 MB
commencing in-memory singleton removal
begin with 99267545 relations and 109641405 unique ideals
reduce to 25818456 relations and 19667880 ideals in 21 passes
max relations containing the same ideal: 19
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 689.0 MB
reading all ideals from disk
memory use: 840.9 MB
keeping 23161556 ideals with weight <= 200, target excess is 137500
commencing in-memory singleton removal
begin with 25818461 relations and 23161556 unique ideals
reduce to 25786268 relations and 23129350 ideals in 15 passes
max relations containing the same ideal: 200
removing 3901355 relations and 3501355 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 21884913 relations and 23129350 unique ideals
reduce to 21500419 relations and 19235368 ideals in 12 passes
max relations containing the same ideal: 183
removing 2767812 relations and 2367812 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 18732607 relations and 19235368 unique ideals
reduce to 18491858 relations and 16622127 ideals in 12 passes
max relations containing the same ideal: 166
removing 2392611 relations and 1992611 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 16099247 relations and 16622127 unique ideals
reduce to 15888465 relations and 14414347 ideals in 9 passes
max relations containing the same ideal: 149
removing 2187077 relations and 1787077 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 13701388 relations and 14414347 unique ideals
reduce to 13493641 relations and 12414806 ideals in 9 passes
max relations containing the same ideal: 133
removing 2047199 relations and 1647199 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11446442 relations and 12414806 unique ideals
reduce to 11224823 relations and 10540149 ideals in 9 passes
max relations containing the same ideal: 117
removing 1954897 relations and 1554897 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9269926 relations and 10540149 unique ideals
reduce to 9022639 relations and 8730188 ideals in 12 passes
max relations containing the same ideal: 102
removing 826069 relations and 693119 ideals in 132950 cliques
commencing in-memory singleton removal
begin with 8196570 relations and 8730188 unique ideals
reduce to 8144648 relations and 7984418 ideals in 9 passes
max relations containing the same ideal: 97
relations with 0 large ideals: 513
relations with 1 large ideals: 1328
relations with 2 large ideals: 22667
relations with 3 large ideals: 174382
relations with 4 large ideals: 713683
relations with 5 large ideals: 1677855
relations with 6 large ideals: 2350752
relations with 7+ large ideals: 3203468
commencing 2-way merge
reduce to 4703021 relation sets and 4542791 unique ideals
commencing full merge
memory use: 549.0 MB
found 2470326 cycles, need 2448991
weight of 2448991 cycles is about 171484802 (70.02/cycle)
distribution of cycle lengths:
1 relations: 329207
2 relations: 285509
3 relations: 276184
4 relations: 252739
5 relations: 234282
6 relations: 204248
7 relations: 181321
8 relations: 154325
9 relations: 127236
10+ relations: 403940
heaviest cycle: 21 relations
commencing cycle optimization
start with 13773794 relations
pruned 263974 relations
memory use: 471.1 MB
distribution of cycle lengths:
1 relations: 329207
2 relations: 290720
3 relations: 283497
4 relations: 256883
5 relations: 238790
6 relations: 206721
7 relations: 183190
8 relations: 154434
9 relations: 126518
10+ relations: 379031
heaviest cycle: 21 relations
RelProcTime: 2991

commencing linear algebra
read 2448991 cycles
cycles contain 8005485 unique relations
read 8005485 relations
using 20 quadratic characters above 2147440722
building initial matrix
memory use: 997.8 MB
read 2448991 cycles
matrix is 2448811 x 2448991 (734.8 MB) with weight 225542630 (92.10/col)
sparse part has weight 165683815 (67.65/col)
filtering completed in 2 passes
matrix is 2446924 x 2447104 (734.7 MB) with weight 225478170 (92.14/col)
sparse part has weight 165666661 (67.70/col)
read 2447104 cycles
matrix is 2446924 x 2447104 (734.7 MB) with weight 225478170 (92.14/col)
sparse part has weight 165666661 (67.70/col)
saving the first 48 matrix rows for later
matrix is 2446876 x 2447104 (706.4 MB) with weight 180241710 (73.66/col)
sparse part has weight 160708064 (65.67/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (4 threads)
memory use: 747.7 MB
linear algebra at 0.0%, ETA 9h 0m447104 dimensions (0.0%, ETA 9h 0m)
^Cnear algebra completed 297303 of 2447104 dimensions (12.1%, ETA 7h57m)
received signal 2; shutting down

lanczos halted after 4703 iterations (dim = 297494)
BLanczosTime: 4375

debian:/mnt/backup/nfs/# msieve -ncr -t 2 -nf nn.fb -i nn.ini -s nn.dat -v

Msieve v. 1.44
Tue Mar  9 12:19:19 2010
random seeds: 3823aa35 ae5d0313
factoring 6467458742747490908426758718543314878516214661999799045633580159444730768422463131124826108330789481076500407954611602955238945601019157889 (139 digits)
searching for 15-digit factors
commencing number field sieve (139-digit input)
R0: -547704007448629049153036393
R1:  3876095718751219
A0:  120962641837821114052609863091200
A1: -2239140492639842857809526700
A2: -44732134564940123623624
A3:  60787651256756811
A4:  172508127714
A5:  131220
skew 363298.70, size 2.049835e-13, alpha -6.286026, combined = 2.478820e-11

commencing linear algebra
read 2447104 cycles
matrix is 2446924 x 2447104 (734.7 MB) with weight 225478170 (92.14/col)
sparse part has weight 165666661 (67.70/col)
saving the first 48 matrix rows for later
matrix is 2446876 x 2447104 (706.4 MB) with weight 180241710 (73.66/col)
sparse part has weight 160708064 (65.67/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (2 threads)
memory use: 710.3 MB
restarting at iteration 4703 (dim = 297494)
linear algebra at 12.2%, ETA 7h50m 2447104 dimensions (12.2%, ETA 7h50m)
linear algebra completed 2446823 of 2447104 dimensions (100.0%, ETA 0h 0m)
lanczos halted after 38693 iterations (dim = 2446876)
recovered 29 nontrivial dependencies
BLanczosTime: 32475
elapsed time 09:01:16
debian:/mnt/backup/nfs/# msieve -nc3 -t 2 -nf nn.fb -i nn.ini -s nn.dat -v


Msieve v. 1.44
Tue Mar  9 21:39:14 2010
random seeds: e82038e2 eaaa0270
factoring 6467458742747490908426758718543314878516214661999799045633580159444730768422463131124826108330789481076500407954611602955238945601019157889 (139 digits)
searching for 15-digit factors
commencing number field sieve (139-digit input)
R0: -547704007448629049153036393
R1:  3876095718751219
A0:  120962641837821114052609863091200
A1: -2239140492639842857809526700
A2: -44732134564940123623624
A3:  60787651256756811
A4:  172508127714
A5:  131220
skew 363298.70, size 2.049835e-13, alpha -6.286026, combined = 2.478820e-11

commencing square root phase
reading relations for dependency 1
read 1223353 cycles
cycles contain 4001374 unique relations
read 4001374 relations
multiplying 4001374 relations
multiply complete, coefficients have about 198.96 million bits
initial square root is modulo 13807141
sqrtTime: 958
prp70 factor: 1079686769799435549615969851322779813252480674739389358753527582406033
prp70 factor: 5990125028529243756969763931512389043026407645831818561136584813883633
elapsed time 00:15:59

55422742289022862283824143853887576991826891328751232033297879242082979852380776076086048938897611694988886085639185523223704492054177549757531452279917769668485134113508518003581473029458946383643<197>

233922761312504944866945368108459798097079851995709097274699004498639238021<75>
236927531027995335872677107221051822016894046850508432737749313828852960423659094062772540170659342030002668269609536829983<123>

This factorisation finally succeeded at dependency number 18.

See msieve.log, below, for all the failed sqrts, including
the amazing message "algebraic side is not a square!".

Incredible!

--Bob.

Number: n
N=55422742289022862283824143853887576991826891328751232033297879242082979852380776076086048938897611694988886085639185523223704492054177549757531452279917769668485134113508518003581473029458946383643
  ( 197 digits)
SNFS difficulty: 205 digits.
Divisors found:

Wed Feb  9 05:07:51 2011  prp75 factor: 233922761312504944866945368108459798097079851995709097274699004498639238021
Wed Feb  9 05:07:51 2011  prp123 factor: 236927531027995335872677107221051822016894046850508432737749313828852960423659094062772540170659342030002668269609536829983
Wed Feb  9 05:07:51 2011  elapsed time 13:16:18 (Msieve 1.44 - dependency 18)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.086).
Factorization parameters were as follows:
name: KA_3_7_203_9
n: 55422742289022862283824143853887576991826891328751232033297879242082979852380776076086048938897611694988886085639185523223704492054177549757531452279917769668485134113508518003581473029458946383643
m: 20000000000000000000000000000000000000000
#  Diff: 205.53
deg: 5
c5: 10625
c0: 11
skew: 0.25
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 28300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5381621 hash collisions in 30202654 relations
Msieve: matrix is 2653262 x 2653487 (758.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,15000000,15000000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5659.83 BogoMIPS (lpj=2829919)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830456)
Total of 4 processors activated (22642.56 BogoMIPS).

msieve.log:

Tue Feb  8 15:50:39 2011  
Tue Feb  8 15:50:39 2011  
Tue Feb  8 15:50:39 2011  Msieve v. 1.44
Tue Feb  8 15:50:39 2011  random seeds: 41dfbb2a 42a7f27c
Tue Feb  8 15:50:39 2011  factoring 55422742289022862283824143853887576991826891328751232033297879242082979852380776076086048938897611694988886085639185523223704492054177549757531452279917769668485134113508518003581473029458946383643 (197 digits)
Tue Feb  8 15:50:41 2011  no P-1/P+1/ECM available, skipping
Tue Feb  8 15:50:41 2011  commencing number field sieve (197-digit input)
Tue Feb  8 15:50:41 2011  R0: -20000000000000000000000000000000000000000
Tue Feb  8 15:50:41 2011  R1:  1
Tue Feb  8 15:50:41 2011  A0:  11
Tue Feb  8 15:50:41 2011  A1:  0
Tue Feb  8 15:50:41 2011  A2:  0
Tue Feb  8 15:50:41 2011  A3:  0
Tue Feb  8 15:50:41 2011  A4:  0
Tue Feb  8 15:50:41 2011  A5:  10625
Tue Feb  8 15:50:41 2011  skew 1.00, size 2.268237e-14, alpha -0.129901, combined = 7.732772e-12
Tue Feb  8 15:50:41 2011  
Tue Feb  8 15:50:41 2011  commencing relation filtering
Tue Feb  8 15:50:41 2011  estimated available RAM is 7923.9 MB
Tue Feb  8 15:50:41 2011  commencing duplicate removal, pass 1
Tue Feb  8 15:50:41 2011  found 0 hash collisions in 0 relations
Tue Feb  8 15:50:41 2011  reading ideals above 30000
Tue Feb  8 15:50:41 2011  commencing singleton removal, initial pass
Tue Feb  8 15:50:41 2011  memory use: 0.1 MB
Tue Feb  8 15:50:41 2011  reading all ideals from disk
Tue Feb  8 15:50:41 2011  memory use: 0.0 MB
Tue Feb  8 15:50:41 2011  commencing in-memory singleton removal
Tue Feb  8 15:50:41 2011  begin with 0 relations and 0 unique ideals
Tue Feb  8 15:50:41 2011  reduce to 0 relations and 0 ideals in 1 passes
Tue Feb  8 15:50:41 2011  max relations containing the same ideal: 0
Tue Feb  8 15:50:41 2011  filtering wants 1000000 more relations
Tue Feb  8 15:50:41 2011  elapsed time 00:00:02
Tue Feb  8 15:51:33 2011  
Tue Feb  8 15:51:33 2011  
Tue Feb  8 15:51:33 2011  Msieve v. 1.44
Tue Feb  8 15:51:33 2011  random seeds: c16ed006 d0a8f830
Tue Feb  8 15:51:33 2011  factoring 55422742289022862283824143853887576991826891328751232033297879242082979852380776076086048938897611694988886085639185523223704492054177549757531452279917769668485134113508518003581473029458946383643 (197 digits)
Tue Feb  8 15:51:34 2011  no P-1/P+1/ECM available, skipping
Tue Feb  8 15:51:34 2011  commencing number field sieve (197-digit input)
Tue Feb  8 15:51:34 2011  R0: -20000000000000000000000000000000000000000
Tue Feb  8 15:51:34 2011  R1:  1
Tue Feb  8 15:51:34 2011  A0:  11
Tue Feb  8 15:51:34 2011  A1:  0
Tue Feb  8 15:51:34 2011  A2:  0
Tue Feb  8 15:51:34 2011  A3:  0
Tue Feb  8 15:51:34 2011  A4:  0
Tue Feb  8 15:51:34 2011  A5:  10625
Tue Feb  8 15:51:34 2011  skew 1.00, size 2.268237e-14, alpha -0.129901, combined = 7.732772e-12
Tue Feb  8 15:51:34 2011  
Tue Feb  8 15:51:34 2011  commencing relation filtering
Tue Feb  8 15:51:34 2011  estimated available RAM is 7923.9 MB
Tue Feb  8 15:51:34 2011  commencing duplicate removal, pass 1
Tue Feb  8 15:52:01 2011  error -11 reading relation 4214542
Tue Feb  8 15:52:07 2011  error -11 reading relation 5038329
Tue Feb  8 15:52:13 2011  error -11 reading relation 5994373
Tue Feb  8 15:52:13 2011  error -11 reading relation 5994374
Tue Feb  8 15:52:57 2011  error -11 reading relation 12559290
Tue Feb  8 15:53:15 2011  error -11 reading relation 15199863
Tue Feb  8 15:54:14 2011  error -11 reading relation 24104501
Tue Feb  8 15:54:15 2011  error -6 reading relation 24309948
Tue Feb  8 15:54:55 2011  found 5381621 hash collisions in 30202654 relations
Tue Feb  8 15:55:29 2011  added 730354 free relations
Tue Feb  8 15:55:29 2011  commencing duplicate removal, pass 2
Tue Feb  8 15:55:43 2011  found 4989450 duplicates and 25943558 unique relations
Tue Feb  8 15:55:43 2011  memory use: 165.2 MB
Tue Feb  8 15:55:43 2011  reading ideals above 720000
Tue Feb  8 15:55:43 2011  commencing singleton removal, initial pass
Tue Feb  8 15:59:55 2011  memory use: 689.0 MB
Tue Feb  8 15:59:55 2011  reading all ideals from disk
Tue Feb  8 15:59:56 2011  memory use: 891.6 MB
Tue Feb  8 16:00:02 2011  keeping 25173168 ideals with weight <= 200, target excess is 142986
Tue Feb  8 16:00:07 2011  commencing in-memory singleton removal
Tue Feb  8 16:00:12 2011  begin with 25943558 relations and 25173168 unique ideals
Tue Feb  8 16:01:18 2011  reduce to 16209564 relations and 14162778 ideals in 17 passes
Tue Feb  8 16:01:18 2011  max relations containing the same ideal: 153
Tue Feb  8 16:01:33 2011  removing 2266737 relations and 1866737 ideals in 400000 cliques
Tue Feb  8 16:01:34 2011  commencing in-memory singleton removal
Tue Feb  8 16:01:37 2011  begin with 13942827 relations and 14162778 unique ideals
Tue Feb  8 16:02:04 2011  reduce to 13733540 relations and 12080436 ideals in 9 passes
Tue Feb  8 16:02:04 2011  max relations containing the same ideal: 135
Tue Feb  8 16:02:17 2011  removing 1709235 relations and 1309235 ideals in 400000 cliques
Tue Feb  8 16:02:17 2011  commencing in-memory singleton removal
Tue Feb  8 16:02:20 2011  begin with 12024305 relations and 12080436 unique ideals
Tue Feb  8 16:02:38 2011  reduce to 11885528 relations and 10628572 ideals in 7 passes
Tue Feb  8 16:02:38 2011  max relations containing the same ideal: 124
Tue Feb  8 16:02:49 2011  removing 1526375 relations and 1126375 ideals in 400000 cliques
Tue Feb  8 16:02:50 2011  commencing in-memory singleton removal
Tue Feb  8 16:02:52 2011  begin with 10359153 relations and 10628572 unique ideals
Tue Feb  8 16:03:07 2011  reduce to 10225312 relations and 9364362 ideals in 7 passes
Tue Feb  8 16:03:07 2011  max relations containing the same ideal: 108
Tue Feb  8 16:03:17 2011  removing 1444999 relations and 1044999 ideals in 400000 cliques
Tue Feb  8 16:03:17 2011  commencing in-memory singleton removal
Tue Feb  8 16:03:19 2011  begin with 8780313 relations and 9364362 unique ideals
Tue Feb  8 16:03:32 2011  reduce to 8641889 relations and 8176227 ideals in 7 passes
Tue Feb  8 16:03:32 2011  max relations containing the same ideal: 100
Tue Feb  8 16:03:40 2011  removing 1101975 relations and 802177 ideals in 299798 cliques
Tue Feb  8 16:03:41 2011  commencing in-memory singleton removal
Tue Feb  8 16:03:42 2011  begin with 7539914 relations and 8176227 unique ideals
Tue Feb  8 16:03:55 2011  reduce to 7442308 relations and 7273445 ideals in 8 passes
Tue Feb  8 16:03:55 2011  max relations containing the same ideal: 91
Tue Feb  8 16:04:04 2011  relations with 0 large ideals: 3021
Tue Feb  8 16:04:04 2011  relations with 1 large ideals: 778
Tue Feb  8 16:04:04 2011  relations with 2 large ideals: 12069
Tue Feb  8 16:04:04 2011  relations with 3 large ideals: 96345
Tue Feb  8 16:04:04 2011  relations with 4 large ideals: 425644
Tue Feb  8 16:04:04 2011  relations with 5 large ideals: 1127675
Tue Feb  8 16:04:04 2011  relations with 6 large ideals: 1947849
Tue Feb  8 16:04:04 2011  relations with 7+ large ideals: 3828927
Tue Feb  8 16:04:04 2011  commencing 2-way merge
Tue Feb  8 16:04:13 2011  reduce to 5086764 relation sets and 4917901 unique ideals
Tue Feb  8 16:04:13 2011  commencing full merge
Tue Feb  8 16:05:56 2011  memory use: 612.3 MB
Tue Feb  8 16:05:57 2011  found 2679183 cycles, need 2654101
Tue Feb  8 16:05:58 2011  weight of 2654101 cycles is about 186059214 (70.10/cycle)
Tue Feb  8 16:05:58 2011  distribution of cycle lengths:
Tue Feb  8 16:05:58 2011  1 relations: 270920
Tue Feb  8 16:05:58 2011  2 relations: 319141
Tue Feb  8 16:05:58 2011  3 relations: 335451
Tue Feb  8 16:05:58 2011  4 relations: 315992
Tue Feb  8 16:05:58 2011  5 relations: 291400
Tue Feb  8 16:05:58 2011  6 relations: 251908
Tue Feb  8 16:05:58 2011  7 relations: 212073
Tue Feb  8 16:05:58 2011  8 relations: 172291
Tue Feb  8 16:05:58 2011  9 relations: 136734
Tue Feb  8 16:05:58 2011  10+ relations: 348191
Tue Feb  8 16:05:58 2011  heaviest cycle: 20 relations
Tue Feb  8 16:05:59 2011  commencing cycle optimization
Tue Feb  8 16:06:05 2011  start with 14394664 relations
Tue Feb  8 16:06:30 2011  pruned 432397 relations
Tue Feb  8 16:06:30 2011  memory use: 456.4 MB
Tue Feb  8 16:06:30 2011  distribution of cycle lengths:
Tue Feb  8 16:06:30 2011  1 relations: 270920
Tue Feb  8 16:06:30 2011  2 relations: 326573
Tue Feb  8 16:06:30 2011  3 relations: 349397
Tue Feb  8 16:06:30 2011  4 relations: 326183
Tue Feb  8 16:06:30 2011  5 relations: 300675
Tue Feb  8 16:06:30 2011  6 relations: 257222
Tue Feb  8 16:06:30 2011  7 relations: 214813
Tue Feb  8 16:06:30 2011  8 relations: 171529
Tue Feb  8 16:06:30 2011  9 relations: 132335
Tue Feb  8 16:06:30 2011  10+ relations: 304454
Tue Feb  8 16:06:30 2011  heaviest cycle: 20 relations
Tue Feb  8 16:06:35 2011  RelProcTime: 901
Tue Feb  8 16:06:35 2011  
Tue Feb  8 16:06:35 2011  commencing linear algebra
Tue Feb  8 16:06:37 2011  read 2654101 cycles
Tue Feb  8 16:06:42 2011  cycles contain 7330327 unique relations
Tue Feb  8 16:07:32 2011  read 7330327 relations
Tue Feb  8 16:07:43 2011  using 20 quadratic characters above 268434980
Tue Feb  8 16:08:18 2011  building initial matrix
Tue Feb  8 16:10:02 2011  memory use: 974.3 MB
Tue Feb  8 16:10:03 2011  read 2654101 cycles
Tue Feb  8 16:10:04 2011  matrix is 2653924 x 2654101 (793.3 MB) with weight 235857287 (88.87/col)
Tue Feb  8 16:10:04 2011  sparse part has weight 178752241 (67.35/col)
Tue Feb  8 16:10:36 2011  filtering completed in 2 passes
Tue Feb  8 16:10:37 2011  matrix is 2653310 x 2653487 (793.2 MB) with weight 235838263 (88.88/col)
Tue Feb  8 16:10:37 2011  sparse part has weight 178746181 (67.36/col)
Tue Feb  8 16:10:49 2011  read 2653487 cycles
Tue Feb  8 16:10:50 2011  matrix is 2653310 x 2653487 (793.2 MB) with weight 235838263 (88.88/col)
Tue Feb  8 16:10:50 2011  sparse part has weight 178746181 (67.36/col)
Tue Feb  8 16:10:50 2011  saving the first 48 matrix rows for later
Tue Feb  8 16:10:51 2011  matrix is 2653262 x 2653487 (758.6 MB) with weight 188026414 (70.86/col)
Tue Feb  8 16:10:51 2011  sparse part has weight 172318080 (64.94/col)
Tue Feb  8 16:10:51 2011  matrix includes 64 packed rows
Tue Feb  8 16:10:51 2011  using block size 65536 for processor cache size 6144 kB
Tue Feb  8 16:11:02 2011  commencing Lanczos iteration (4 threads)
Tue Feb  8 16:11:02 2011  memory use: 815.2 MB
Tue Feb  8 16:11:13 2011  linear algebra at 0.0%, ETA 9h42m
Wed Feb  9 01:56:24 2011  lanczos halted after 41957 iterations (dim = 2653259)
Wed Feb  9 01:56:28 2011  recovered 35 nontrivial dependencies
Wed Feb  9 01:56:28 2011  BLanczosTime: 35393
Wed Feb  9 01:56:28 2011  
Wed Feb  9 01:56:28 2011  commencing square root phase
Wed Feb  9 01:56:28 2011  reading relations for dependency 1
Wed Feb  9 01:56:29 2011  read 1324880 cycles
Wed Feb  9 01:56:31 2011  cycles contain 3661984 unique relations
Wed Feb  9 01:57:00 2011  read 3661984 relations
Wed Feb  9 01:57:13 2011  algebraic side is not a square!
Wed Feb  9 01:57:13 2011  reading relations for dependency 2
Wed Feb  9 01:57:14 2011  read 1327630 cycles
Wed Feb  9 01:57:17 2011  cycles contain 3669122 unique relations
Wed Feb  9 01:57:45 2011  read 3669122 relations
Wed Feb  9 01:58:09 2011  multiplying 3669122 relations
Wed Feb  9 02:07:45 2011  multiply complete, coefficients have about 133.45 million bits
Wed Feb  9 02:07:45 2011  error: relation product is incorrect
Wed Feb  9 02:07:45 2011  algebraic square root failed
Wed Feb  9 02:07:45 2011  reading relations for dependency 3
Wed Feb  9 02:07:46 2011  read 1328388 cycles
Wed Feb  9 02:07:48 2011  cycles contain 3667550 unique relations
Wed Feb  9 02:08:17 2011  read 3667550 relations
Wed Feb  9 02:08:41 2011  multiplying 3667550 relations
Wed Feb  9 02:18:16 2011  multiply complete, coefficients have about 133.39 million bits
Wed Feb  9 02:18:17 2011  error: relation product is incorrect
Wed Feb  9 02:18:17 2011  algebraic square root failed
Wed Feb  9 02:18:17 2011  reading relations for dependency 4
Wed Feb  9 02:18:17 2011  read 1327172 cycles
Wed Feb  9 02:18:20 2011  cycles contain 3666448 unique relations
Wed Feb  9 02:18:49 2011  read 3666448 relations
Wed Feb  9 02:19:12 2011  multiplying 3666448 relations
Wed Feb  9 02:28:47 2011  multiply complete, coefficients have about 133.35 million bits
Wed Feb  9 02:28:47 2011  error: relation product is incorrect
Wed Feb  9 02:28:47 2011  algebraic square root failed
Wed Feb  9 02:28:47 2011  reading relations for dependency 5
Wed Feb  9 02:28:48 2011  read 1325975 cycles
Wed Feb  9 02:28:51 2011  cycles contain 3664820 unique relations
Wed Feb  9 02:29:19 2011  read 3664820 relations
Wed Feb  9 02:29:43 2011  multiplying 3664820 relations
Wed Feb  9 02:39:18 2011  multiply complete, coefficients have about 133.29 million bits
Wed Feb  9 02:39:19 2011  error: relation product is incorrect
Wed Feb  9 02:39:19 2011  algebraic square root failed
Wed Feb  9 02:39:19 2011  reading relations for dependency 6
Wed Feb  9 02:39:20 2011  read 1325649 cycles
Wed Feb  9 02:39:22 2011  cycles contain 3664618 unique relations
Wed Feb  9 02:39:51 2011  read 3664618 relations
Wed Feb  9 02:40:15 2011  multiplying 3664618 relations
Wed Feb  9 02:49:50 2011  multiply complete, coefficients have about 133.28 million bits
Wed Feb  9 02:49:50 2011  error: relation product is incorrect
Wed Feb  9 02:49:50 2011  algebraic square root failed
Wed Feb  9 02:49:50 2011  reading relations for dependency 7
Wed Feb  9 02:49:51 2011  read 1325797 cycles
Wed Feb  9 02:49:54 2011  cycles contain 3662032 unique relations
Wed Feb  9 02:50:22 2011  read 3662032 relations
Wed Feb  9 02:50:46 2011  multiplying 3662032 relations
Wed Feb  9 03:00:20 2011  multiply complete, coefficients have about 133.19 million bits
Wed Feb  9 03:00:20 2011  error: relation product is incorrect
Wed Feb  9 03:00:20 2011  algebraic square root failed
Wed Feb  9 03:00:20 2011  reading relations for dependency 8
Wed Feb  9 03:00:21 2011  read 1326040 cycles
Wed Feb  9 03:00:24 2011  cycles contain 3662690 unique relations
Wed Feb  9 03:00:52 2011  read 3662690 relations
Wed Feb  9 03:01:16 2011  multiplying 3662690 relations
Wed Feb  9 03:10:56 2011  multiply complete, coefficients have about 133.21 million bits
Wed Feb  9 03:10:56 2011  error: relation product is incorrect
Wed Feb  9 03:10:56 2011  algebraic square root failed
Wed Feb  9 03:10:56 2011  reading relations for dependency 9
Wed Feb  9 03:10:57 2011  read 1327734 cycles
Wed Feb  9 03:11:00 2011  cycles contain 3667258 unique relations
Wed Feb  9 03:11:29 2011  read 3667258 relations
Wed Feb  9 03:11:54 2011  multiplying 3667258 relations
Wed Feb  9 03:21:37 2011  multiply complete, coefficients have about 133.38 million bits
Wed Feb  9 03:21:38 2011  error: relation product is incorrect
Wed Feb  9 03:21:38 2011  algebraic square root failed
Wed Feb  9 03:21:38 2011  reading relations for dependency 10
Wed Feb  9 03:21:38 2011  read 1326748 cycles
Wed Feb  9 03:21:41 2011  cycles contain 3666970 unique relations
Wed Feb  9 03:22:10 2011  read 3666970 relations
Wed Feb  9 03:22:35 2011  multiplying 3666970 relations
Wed Feb  9 03:32:18 2011  multiply complete, coefficients have about 133.37 million bits
Wed Feb  9 03:32:19 2011  error: relation product is incorrect
Wed Feb  9 03:32:19 2011  algebraic square root failed
Wed Feb  9 03:32:19 2011  reading relations for dependency 11
Wed Feb  9 03:32:19 2011  read 1326158 cycles
Wed Feb  9 03:32:22 2011  cycles contain 3665410 unique relations
Wed Feb  9 03:32:51 2011  read 3665410 relations
Wed Feb  9 03:33:16 2011  multiplying 3665410 relations
Wed Feb  9 03:42:59 2011  multiply complete, coefficients have about 133.31 million bits
Wed Feb  9 03:43:00 2011  error: relation product is incorrect
Wed Feb  9 03:43:00 2011  algebraic square root failed
Wed Feb  9 03:43:00 2011  reading relations for dependency 12
Wed Feb  9 03:43:01 2011  read 1326885 cycles
Wed Feb  9 03:43:03 2011  cycles contain 3663488 unique relations
Wed Feb  9 03:43:32 2011  read 3663488 relations
Wed Feb  9 03:43:58 2011  multiplying 3663488 relations
Wed Feb  9 03:53:41 2011  multiply complete, coefficients have about 133.24 million bits
Wed Feb  9 03:53:41 2011  error: relation product is incorrect
Wed Feb  9 03:53:41 2011  algebraic square root failed
Wed Feb  9 03:53:41 2011  reading relations for dependency 13
Wed Feb  9 03:53:42 2011  read 1326585 cycles
Wed Feb  9 03:53:45 2011  cycles contain 3665932 unique relations
Wed Feb  9 03:54:14 2011  read 3665932 relations
Wed Feb  9 03:54:39 2011  multiplying 3665932 relations
Wed Feb  9 04:04:22 2011  multiply complete, coefficients have about 133.33 million bits
Wed Feb  9 04:04:22 2011  error: relation product is incorrect
Wed Feb  9 04:04:22 2011  algebraic square root failed
Wed Feb  9 04:04:23 2011  reading relations for dependency 14
Wed Feb  9 04:04:23 2011  read 1326718 cycles
Wed Feb  9 04:04:26 2011  cycles contain 3664846 unique relations
Wed Feb  9 04:04:55 2011  read 3664846 relations
Wed Feb  9 04:05:20 2011  multiplying 3664846 relations
Wed Feb  9 04:15:03 2011  multiply complete, coefficients have about 133.29 million bits
Wed Feb  9 04:15:04 2011  error: relation product is incorrect
Wed Feb  9 04:15:04 2011  algebraic square root failed
Wed Feb  9 04:15:04 2011  reading relations for dependency 15
Wed Feb  9 04:15:04 2011  read 1325854 cycles
Wed Feb  9 04:15:07 2011  cycles contain 3661662 unique relations
Wed Feb  9 04:15:36 2011  read 3661662 relations
Wed Feb  9 04:16:01 2011  multiplying 3661662 relations
Wed Feb  9 04:25:44 2011  multiply complete, coefficients have about 133.17 million bits
Wed Feb  9 04:25:45 2011  error: relation product is incorrect
Wed Feb  9 04:25:45 2011  algebraic square root failed
Wed Feb  9 04:25:45 2011  reading relations for dependency 16
Wed Feb  9 04:25:46 2011  read 1325213 cycles
Wed Feb  9 04:25:48 2011  cycles contain 3660182 unique relations
Wed Feb  9 04:26:17 2011  read 3660182 relations
Wed Feb  9 04:26:30 2011  algebraic side is not a square!
Wed Feb  9 04:26:30 2011  reading relations for dependency 17
Wed Feb  9 04:26:31 2011  read 1326941 cycles
Wed Feb  9 04:26:34 2011  cycles contain 3665474 unique relations
Wed Feb  9 04:27:03 2011  read 3665474 relations
Wed Feb  9 04:27:28 2011  multiplying 3665474 relations
Wed Feb  9 04:37:11 2011  multiply complete, coefficients have about 133.31 million bits
Wed Feb  9 04:37:11 2011  error: relation product is incorrect
Wed Feb  9 04:37:11 2011  algebraic square root failed
Wed Feb  9 04:37:11 2011  reading relations for dependency 18
Wed Feb  9 04:37:12 2011  read 1326893 cycles
Wed Feb  9 04:37:15 2011  cycles contain 3664986 unique relations
Wed Feb  9 04:37:44 2011  read 3664986 relations
Wed Feb  9 04:38:09 2011  multiplying 3664986 relations
Wed Feb  9 04:47:52 2011  multiply complete, coefficients have about 133.29 million bits
Wed Feb  9 04:47:53 2011  initial square root is modulo 60821
Wed Feb  9 05:07:51 2011  sqrtTime: 11483
Wed Feb  9 05:07:51 2011  prp75 factor: 233922761312504944866945368108459798097079851995709097274699004498639238021
Wed Feb  9 05:07:51 2011  prp123 factor: 236927531027995335872677107221051822016894046850508432737749313828852960423659094062772540170659342030002668269609536829983
Wed Feb  9 05:07:51 2011  elapsed time 13:16:18


10119260384628754390542500696096406819649900523996234703807812351005005281341252777107907294403052233366135400999355292009972631230204384190496604391804013827566569031884650251583609688035282060167<197>

5616458432361743950772380525979298049908466291581623369<55>
1801715530613045708077018601697737070508351049714731144539498092836486246648691440764920776873297078920939991083701817576231762527272000913743<142>

Number: n
N=10119260384628754390542500696096406819649900523996234703807812351005005281341252777107907294403052233366135400999355292009972631230204384190496604391804013827566569031884650251583609688035282060167
  ( 197 digits)
SNFS difficulty: 206 digits.
Divisors found:

Fri Jun 11 07:24:09 2021  p55 factor: 5616458432361743950772380525979298049908466291581623369
Fri Jun 11 07:24:09 2021  p142 factor: 1801715530613045708077018601697737070508351049714731144539498092836486246648691440764920776873297078920939991083701817576231762527272000913743
Fri Jun 11 07:24:09 2021  elapsed time 02:15:00 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.353).
Factorization parameters were as follows:
#
# N = 34x10^205+11 = 37(204)9
#
n: 10119260384628754390542500696096406819649900523996234703807812351005005281341252777107907294403052233366135400999355292009972631230204384190496604391804013827566569031884650251583609688035282060167
m: 100000000000000000000000000000000000000000
deg: 5
c5: 34
c0: 11
skew: 0.80
# Murphy_E = 8.762e-12
type: snfs
lss: 1
rlim: 19400000
alim: 19400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19400000/19400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 51300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10196450 hash collisions in 66890072 relations (59252601 unique)
Msieve: matrix is 2445484 x 2445710 (839.0 MB)

Sieving start time : 2021/06/10 09:41:20
Sieving end time  : 2021/06/11 05:07:50

Total sieving time: 19hrs 26min 30secs.

Total relation processing time: 1hrs 55min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 39sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19400000,19400000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119993] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241092K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 486144K reserved, 0K cma-reserved)
[    0.154044] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.33 BogoMIPS (lpj=12798672)
[    0.150212] smpboot: Total of 16 processors activated (102389.37 BogoMIPS)

1383091998223738382920853870855178957287491920667338556648656088654957492004337595845862577025490520153204107295064345105300181979192197392381706067524306925188989671795174302322190809<184>

9587551376645350758608226476535336980139738313<46>
144259148544732724670964389151244764889566841918781458095342607039210737039155275994274644529902428394147381494991815764542362271243342993<138>

Number: n
N=1383091998223738382920853870855178957287491920667338556648656088654957492004337595845862577025490520153204107295064345105300181979192197392381706067524306925188989671795174302322190809  ( 184 digits)
SNFS difficulty: 207 digits.
Divisors found:

Mon Dec  6 13:35:07 2021  p46 factor: 9587551376645350758608226476535336980139738313
Mon Dec  6 13:35:07 2021  p138 factor: 144259148544732724670964389151244764889566841918781458095342607039210737039155275994274644529902428394147381494991815764542362271243342993
Mon Dec  6 13:35:07 2021  elapsed time 02:36:07 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 34x10^206+11 = 37(205)9
#
n: 1383091998223738382920853870855178957287491920667338556648656088654957492004337595845862577025490520153204107295064345105300181979192197392381706067524306925188989671795174302322190809
m: 100000000000000000000000000000000000000000
deg: 5
c5: 340
c0: 11
skew: 0.50
# Murphy_E = 6.853e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 51600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 11450103 hash collisions in 67128218 relations (57802810 unique)
Msieve: matrix is 2600576 x 2600802 (896.2 MB)

Sieving start time : 2021/12/05 14:56:13
Sieving end time  : 2021/12/06 10:57:35

Total sieving time: 20hrs 1min 22secs.
Total relation processing time: 2hrs 15min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 23sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118965] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.154164] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798120)
[    0.152035] smpboot: Total of 16 processors activated (102384.96 BogoMIPS)

190148564099559283645527026560281079228698126445010774492366413037303066107316674333561697941005264169324529018030352568869190596598237671282252859647427549<156>

1940877989774008029308897471874767<34>
97970385104784357951693543016729561534379784466979538705361917199070679661741259738563243638567741438553250238832998790547<122>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3447814892
Step 1 took 19849ms
Step 2 took 7972ms
********** Factor found in step 2: 1940877989774008029308897471874767
Found probable prime factor of 34 digits: 1940877989774008029308897471874767

50090880766222663718866641005250373617405236924309295639035959166955444617975582358533533521157111474070179693137522109293996196514495816394180201467149357129527262342109801929021<179>

5166429335660814499121546149861<31>

9695454541587331472174657881590101683051443466384398721564616215351942835516754917562183558145820662455957114061264630433663658103662937707447037561<148>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=480676415
Step 1 took 22757ms
Step 2 took 8914ms
********** Factor found in step 2: 5166429335660814499121546149861
Found probable prime factor of 31 digits: 5166429335660814499121546149861

110712941037749713146881944198937481891030898301706218007240242819682058366024566133725083035751298611405227411028170674353016947350734570552351559985952470080559595919985128098613314523870628311<195>

970013414532974419447462605926192563756751<42>

114135474189348091893967656228312810530138921108555137914183490497799411970062147568327547484717790486224811344253993028904496918498922670769847801341561<153>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2065717253
Step 1 took 124362ms
Step 2 took 36383ms
********** Factor found in step 2: 970013414532974419447462605926192563756751
Found probable prime factor of 42 digits: 970013414532974419447462605926192563756751

34027846117292226783151595026430032404237130764279387808178758813703114772112711393498746116299307079113399855340009740017886648244178101663665078625079865423592047<164>

7302961216503737008503436036120019289179132824968947333249941436413915924143018428719209182050542088032080218573893906719656367348851066477820325686531512774126758641445938100446196313<184>

2134335779314488344386634581739097084055941659701111933801748112530732284705676620385891555882615125535249311715588778178247820719771533118066649169099016308109418321170381385014844421<184>

13026819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164751<215>

1861846957314107280205069447223615967845607743916526505321511528682976879795019913<82>
6996718968869538047593519524167585253593452667301645627821929973100141013393256992701615844416252146432539514962416593776967381176727<133>

Number: n
N=13026819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164751
  ( 215 digits)
SNFS difficulty: 217 digits.
Divisors found:

Sat Nov 11 10:42:45 2017  p82 factor: 1861846957314107280205069447223615967845607743916526505321511528682976879795019913
Sat Nov 11 10:42:45 2017  p133 factor: 6996718968869538047593519524167585253593452667301645627821929973100141013393256992701615844416252146432539514962416593776967381176727
Sat Nov 11 10:42:45 2017  elapsed time 05:55:44 (Msieve 1.53 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.067).
Factorization parameters were as follows:
#
# 34x10^215+11 37(214)9
#
n: 13026819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164750957854406130268199233716475095785440613026819923371647509578544061302681992337164751
m: 1000000000000000000000000000000000000
deg: 6
c6: 17
c0: 55
skew: 1.22
# Murphy_E = 3.269e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 29000000/29000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 56900000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 12993793 hash collisions in 69626937 relations (58891752 unique)
Msieve: matrix is 3736287 x 3736512 (1055.4 MB)

Sieving start time: 2017/11/09 19:12:13
Sieving end time  : 2017/11/11 04:44:55

Total sieving time: 33hrs 32min 42secs.

Total relation processing time: 5hrs 29min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 18sec.

Prototype def-par.txt line would be:
snfs,217,6,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.068000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16297368K/16703460K available (9281K kernel code, 2477K rwdata, 3992K rodata, 2324K init, 2384K bss, 406092K reserved, 0K cma-reserved)
[    0.100635] x86/mm: Memory block size: 128MB
[    0.008000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.86 BogoMIPS (lpj=11977728)
[    0.098232] smpboot: Total of 16 processors activated (95821.82 BogoMIPS)

2038380448091402983751543248003134634554819824071143090336505396115744113776079491236172650307963384359440520535717287815589353705576138890109229566303668383404516265533470331155403545847<187>

1741670288444990967435971658867350298769798372481654562551313413678440929496452240935364910728503483911862473972267667200166880417796274555428526922959482705975214403103395095537438843<184>

1798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941798941799<220>

5643509879456484997168717790319469<34>

318762939618536006147333658317330224642344009215852672380559206290850562277738022765443291279083702785582440671816821406831820555466835468697532742034882922287350200140937684611334225571<186>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1480786882
Step 1 took 30458ms
Step 2 took 11087ms
********** Factor found in step 2: 5643509879456484997168717790319469
Found probable prime factor of 34 digits: 5643509879456484997168717790319469

318762939618536006147333658317330224642344009215852672380559206290850562277738022765443291279083702785582440671816821406831820555466835468697532742034882922287350200140937684611334225571<186>

18202385621771962068147529690375316190861636607831<50>
17512151771867864508846794257223358611956684049099487848627274865246401479060624828843889767759701511710162453203426101505833971422619541<137>

Number: 37779_220
N = 318762939618536006147333658317330224642344009215852672380559206290850562277738022765443291279083702785582440671816821406831820555466835468697532742034882922287350200140937684611334225571 (186 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=18202385621771962068147529690375316190861636607831 (pp50)
r2=17512151771867864508846794257223358611956684049099487848627274865246401479060624828843889767759701511710162453203426101505833971422619541 (pp137)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 35.12 hours.
Factorization parameters were as follows:
n: 318762939618536006147333658317330224642344009215852672380559206290850562277738022765443291279083702785582440671816821406831820555466835468697532742034882922287350200140937684611334225571
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 34
c0: 11
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30648635
Relations: 7067536 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 17.08 hours.
Total relation processing time: 0.30 hours.
Pruned matrix : 6266978 x 6267203
Matrix solve time: 17.42 hours.
time per square root: 0.32 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 35.12 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz

35178501350207922886531069166646717460579508977149766353468222757843399992954885813238524579343922460004908389395360897525907007178778081345848355426467681961958731071886395198068943<182>

5407971868771347336780928051586280146993441531458980229729691<61>
6504934234837325005950680827807899635754888744428064577102671277347395360652839098540107259246857216165207774591226916573<121>

Number: 37779_221
N = 35178501350207922886531069166646717460579508977149766353468222757843399992954885813238524579343922460004908389395360897525907007178778081345848355426467681961958731071886395198068943 (182 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=5407971868771347336780928051586280146993441531458980229729691 (pp61)
r2=6504934234837325005950680827807899635754888744428064577102671277347395360652839098540107259246857216165207774591226916573 (pp121)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 83.93 hours.
Factorization parameters were as follows:
n: 35178501350207922886531069166646717460579508977149766353468222757843399992954885813238524579343922460004908389395360897525907007178778081345848355426467681961958731071886395198068943
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 340
c0: 11
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: 8630546 relations
Pruned matrix : 7355797 x 7356022
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 40.27 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 42.73 hours.
time per square root: 0.51 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 83.93 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

5612567547359807456722013958854268716945953072731554424474586849953061272983059546023113791689874535213891852234914940854060484767165635998543004462445284476521451436197387572618280206423<187>

492809059050818201014535206745044218168176402726949321569<57>
11388929331311343764529089258103561378539892893888586158173873990693896941561075861080398504660791982945595480572871092953677827767<131>

Number: 37779_222
N = 5612567547359807456722013958854268716945953072731554424474586849953061272983059546023113791689874535213891852234914940854060484767165635998543004462445284476521451436197387572618280206423 (187 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=492809059050818201014535206745044218168176402726949321569 (pp57)
r2=11388929331311343764529089258103561378539892893888586158173873990693896941561075861080398504660791982945595480572871092953677827767 (pp131)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 52.47 hours.
Factorization parameters were as follows:
n: 5612567547359807456722013958854268716945953072731554424474586849953061272983059546023113791689874535213891852234914940854060484767165635998543004462445284476521451436197387572618280206423
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 3400
c0: 11
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 35598536
Relations: 9232648 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 23.98 hours.
Total relation processing time: 0.37 hours.
Pruned matrix : 7927685 x 7927910
Matrix solve time: 27.06 hours.
time per square root: 1.07 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 52.47 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

356041442012814840804073392384765371292109350595313217201456434341543460633206064045714074199689105805752981515590465875926540533014009224873948429326805516091204447535390635825839776550951869<192>

209339635885861783549639548413113352465653467631336942507503484537439882360226674752337059889239664178424326769501953822071005967395066099793381929712874289291941602554417447750311630537322504062298319<201>

115740605348692344292754212451678892147511<42>

1808696569844119412512404751811102129090606697625765087923485803100707041046647162709283563290415732277261818290343307314147844355410944875327154433110627615529<160>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=778667464
Step 1 took 101686ms
Step 2 took 32233ms
********** Factor found in step 2: 115740605348692344292754212451678892147511
Found probable prime factor of 42 digits: 115740605348692344292754212451678892147511

2139557142381635539113516720683180951730291828913802472084559554528562437828616767488084155131399552581873835361874253228788014605060484129347298956436995414287834226727540239887<178>

1693309635181657750725568149896490306991074720564216460128395768368390959199369190558127371094132023121716925153874401625381472163277872984646761474859271441924393487536007208620958620630438631600733<199>

80965491578767314202473595783926821102626641995052579823699547157624261966800862206282498268350548859114067494595970171265113667572694330812949020625935166311097185046559563133068285652636275697881459328687962067381434789<221>

78388990243343712371000937935578918103369675413296605953316454356310315884706928508966206232969538839686991645049561145769578607707795700777420869992452841581160096283<167>

21357575769904257461225672879704811658379510468161701828577425502416965703680727401298299374059949067449818848270445578343557640726177981831252397139091227533926495336057300618767052047295341710505234701439<206>

25555121427776515814541371634157<32>

835745423095120240739435337651503402174821256846001511374854223444515744790206694530409247084648134544315941878110357411501966633511757226258395861300528625662801586244905627<174>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=911560590
Step 1 took 26721ms
Step 2 took 10262ms
********** Factor found in step 2: 25555121427776515814541371634157
Found probable prime factor of 32 digits: 25555121427776515814541371634157

835745423095120240739435337651503402174821256846001511374854223444515744790206694530409247084648134544315941878110357411501966633511757226258395861300528625662801586244905627<174>

588410603811731673318185922318022357583<39>

1420343919163166566102494147345835633167938236781060439722425700727901699522738475348870431723326170121138607112728411754372603947002869<136>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3284060469
Step 1 took 90737ms
Step 2 took 26882ms
********** Factor found in step 2: 588410603811731673318185922318022357583
Found probable prime factor of 39 digits: 588410603811731673318185922318022357583

1420343919163166566102494147345835633167938236781060439722425700727901699522738475348870431723326170121138607112728411754372603947002869<136>

55052187904392295887912740385878453627696847932573043337<56>
25799954065946315168162472983932245704503625716108872721411938540818056338836237<80>

<Polynomial selection using msieve 1.52dev (SVN 942) CUDA>
n: 1420343919163166566102494147345835633167938236781060439722425700727901699522738475348870431723326170121138607112728411754372603947002869
# size 4.709e-013, alpha -6.973, combined = 4.016e-011 rroots = 5
skew: 1124762.69
Y0: -162332190448904598069528004
Y1: 105098975080441
c0: 2637989736725786172121600305210285
c1: 26559279892304124876257079212
c2: 24369478944421957691170
c3: -47700531898515724
c4: -12247413063
c5: 12600
type: gnfs
rlim: 13200000
alim: 13200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6

<Lattice sieving algebraic q from 6.6e6 to 16.8e6 (siever lasieve4I13e)>
<using 24 threads on 2x Intel Xeon E5-2620 @ 2 GHz>
<    2013-11-24 08:19:19 .. 2013-11-25 01:25:34 got 22038574 relations>

<Post-processing using msieve 1.51 (SVN 845), 4 threads on Intel Xeon E5-2620 @ 2 GHz>

Mon Nov 25 01:26:36 2013  Msieve v. 1.51 (SVN 845)
Mon Nov 25 01:26:36 2013  random seeds: 8fb5cd00 76867627
Mon Nov 25 01:26:36 2013  factoring 1420343919163166566102494147345835633167938236781060439722425700727901699522738475348870431723326170121138607112728411754372603947002869 (136 digits)
Mon Nov 25 01:26:36 2013  searching for 15-digit factors
Mon Nov 25 01:26:37 2013  commencing number field sieve (136-digit input)
Mon Nov 25 01:26:37 2013  R0: -162332190448904598069528004
Mon Nov 25 01:26:37 2013  R1: 105098975080441
Mon Nov 25 01:26:37 2013  A0: 2637989736725786172121600305210285
Mon Nov 25 01:26:37 2013  A1: 26559279892304124876257079212
Mon Nov 25 01:26:37 2013  A2: 24369478944421957691170
Mon Nov 25 01:26:37 2013  A3: -47700531898515724
Mon Nov 25 01:26:37 2013  A4: -12247413063
Mon Nov 25 01:26:37 2013  A5: 12600
Mon Nov 25 01:26:37 2013  skew 1124762.69, size 4.709e-013, alpha -6.973, combined = 4.016e-011 rroots = 5
Mon Nov 25 01:26:37 2013  
Mon Nov 25 01:26:37 2013  commencing relation filtering
Mon Nov 25 01:26:37 2013  estimated available RAM is 4096.0 MB
Mon Nov 25 01:26:37 2013  commencing duplicate removal, pass 1
Mon Nov 25 01:28:59 2013  found 2946084 hash collisions in 22159605 relations
Mon Nov 25 01:29:49 2013  added 190 free relations
Mon Nov 25 01:29:49 2013  commencing duplicate removal, pass 2
Mon Nov 25 01:30:06 2013  found 2439506 duplicates and 19720289 unique relations
Mon Nov 25 01:30:06 2013  memory use: 98.6 MB
Mon Nov 25 01:30:06 2013  reading ideals above 16711680
Mon Nov 25 01:30:12 2013  commencing singleton removal, initial pass
Mon Nov 25 01:32:43 2013  memory use: 376.5 MB
Mon Nov 25 01:32:43 2013  reading all ideals from disk
Mon Nov 25 01:32:43 2013  memory use: 327.7 MB
Mon Nov 25 01:32:44 2013  commencing in-memory singleton removal
Mon Nov 25 01:32:45 2013  begin with 19720289 relations and 19259869 unique ideals
Mon Nov 25 01:32:51 2013  reduce to 8100608 relations and 5731108 ideals in 18 passes
Mon Nov 25 01:32:51 2013  max relations containing the same ideal: 32
Mon Nov 25 01:32:52 2013  reading ideals above 100000
Mon Nov 25 01:32:52 2013  commencing singleton removal, initial pass
Mon Nov 25 01:34:16 2013  memory use: 188.3 MB
Mon Nov 25 01:34:16 2013  reading all ideals from disk
Mon Nov 25 01:34:16 2013  memory use: 310.7 MB
Mon Nov 25 01:34:17 2013  keeping 7830604 ideals with weight <= 200, target excess is 43311
Mon Nov 25 01:34:17 2013  commencing in-memory singleton removal
Mon Nov 25 01:34:18 2013  begin with 8100798 relations and 7830604 unique ideals
Mon Nov 25 01:34:26 2013  reduce to 8025290 relations and 7754045 ideals in 14 passes
Mon Nov 25 01:34:26 2013  max relations containing the same ideal: 200
Mon Nov 25 01:34:30 2013  removing 1028195 relations and 917693 ideals in 110502 cliques
Mon Nov 25 01:34:31 2013  commencing in-memory singleton removal
Mon Nov 25 01:34:31 2013  begin with 6997095 relations and 7754045 unique ideals
Mon Nov 25 01:34:36 2013  reduce to 6890536 relations and 6727777 ideals in 10 passes
Mon Nov 25 01:34:36 2013  max relations containing the same ideal: 186
Mon Nov 25 01:34:39 2013  removing 758634 relations and 648132 ideals in 110502 cliques
Mon Nov 25 01:34:40 2013  commencing in-memory singleton removal
Mon Nov 25 01:34:40 2013  begin with 6131902 relations and 6727777 unique ideals
Mon Nov 25 01:34:44 2013  reduce to 6065389 relations and 6011971 ideals in 9 passes
Mon Nov 25 01:34:44 2013  max relations containing the same ideal: 174
Mon Nov 25 01:34:49 2013  relations with 0 large ideals: 141
Mon Nov 25 01:34:49 2013  relations with 1 large ideals: 120
Mon Nov 25 01:34:49 2013  relations with 2 large ideals: 1544
Mon Nov 25 01:34:49 2013  relations with 3 large ideals: 19255
Mon Nov 25 01:34:49 2013  relations with 4 large ideals: 130355
Mon Nov 25 01:34:49 2013  relations with 5 large ideals: 518721
Mon Nov 25 01:34:49 2013  relations with 6 large ideals: 1241406
Mon Nov 25 01:34:49 2013  relations with 7+ large ideals: 4153847
Mon Nov 25 01:34:49 2013  commencing 2-way merge
Mon Nov 25 01:34:53 2013  reduce to 3544624 relation sets and 3491206 unique ideals
Mon Nov 25 01:34:53 2013  commencing full merge
Mon Nov 25 01:36:01 2013  memory use: 373.3 MB
Mon Nov 25 01:36:02 2013  found 1846945 cycles, need 1839406
Mon Nov 25 01:36:02 2013  weight of 1839406 cycles is about 128760377 (70.00/cycle)
Mon Nov 25 01:36:02 2013  distribution of cycle lengths:
Mon Nov 25 01:36:02 2013  1 relations: 268110
Mon Nov 25 01:36:02 2013  2 relations: 235171
Mon Nov 25 01:36:02 2013  3 relations: 215669
Mon Nov 25 01:36:02 2013  4 relations: 184810
Mon Nov 25 01:36:02 2013  5 relations: 163005
Mon Nov 25 01:36:02 2013  6 relations: 134610
Mon Nov 25 01:36:02 2013  7 relations: 117225
Mon Nov 25 01:36:02 2013  8 relations: 99972
Mon Nov 25 01:36:02 2013  9 relations: 83883
Mon Nov 25 01:36:02 2013  10+ relations: 336951
Mon Nov 25 01:36:02 2013  heaviest cycle: 25 relations
Mon Nov 25 01:36:02 2013  commencing cycle optimization
Mon Nov 25 01:36:05 2013  start with 10538088 relations
Mon Nov 25 01:36:29 2013  pruned 224599 relations
Mon Nov 25 01:36:29 2013  memory use: 281.2 MB
Mon Nov 25 01:36:29 2013  distribution of cycle lengths:
Mon Nov 25 01:36:29 2013  1 relations: 268110
Mon Nov 25 01:36:29 2013  2 relations: 239971
Mon Nov 25 01:36:29 2013  3 relations: 222449
Mon Nov 25 01:36:29 2013  4 relations: 188176
Mon Nov 25 01:36:29 2013  5 relations: 165495
Mon Nov 25 01:36:29 2013  6 relations: 135767
Mon Nov 25 01:36:29 2013  7 relations: 117757
Mon Nov 25 01:36:29 2013  8 relations: 99490
Mon Nov 25 01:36:29 2013  9 relations: 83012
Mon Nov 25 01:36:29 2013  10+ relations: 319179
Mon Nov 25 01:36:29 2013  heaviest cycle: 25 relations
Mon Nov 25 01:36:31 2013  RelProcTime: 594
Mon Nov 25 01:36:31 2013  elapsed time 00:09:55
Mon Nov 25 01:37:48 2013  
  ..<snip>..
Mon Nov 25 01:37:50 2013  commencing linear algebra
Mon Nov 25 01:37:50 2013  read 1839406 cycles
Mon Nov 25 01:37:54 2013  cycles contain 5979652 unique relations
Mon Nov 25 01:38:34 2013  read 5979652 relations
Mon Nov 25 01:38:44 2013  using 20 quadratic characters above 268434264
Mon Nov 25 01:39:16 2013  building initial matrix
Mon Nov 25 01:40:49 2013  memory use: 705.3 MB
Mon Nov 25 01:40:51 2013  read 1839406 cycles
Mon Nov 25 01:40:52 2013  matrix is 1839227 x 1839406 (530.9 MB) with weight 175888200 (95.62/col)
Mon Nov 25 01:40:52 2013  sparse part has weight 124464682 (67.67/col)
Mon Nov 25 01:41:12 2013  filtering completed in 2 passes
Mon Nov 25 01:41:13 2013  matrix is 1838166 x 1838345 (530.9 MB) with weight 175846720 (95.65/col)
Mon Nov 25 01:41:13 2013  sparse part has weight 124455538 (67.70/col)
Mon Nov 25 01:41:18 2013  matrix starts at (0, 0)
Mon Nov 25 01:41:19 2013  matrix is 1838166 x 1838345 (530.9 MB) with weight 175846720 (95.65/col)
Mon Nov 25 01:41:19 2013  sparse part has weight 124455538 (67.70/col)
Mon Nov 25 01:41:19 2013  saving the first 48 matrix rows for later
Mon Nov 25 01:41:20 2013  matrix includes 64 packed rows
Mon Nov 25 01:41:21 2013  matrix is 1838118 x 1838345 (510.4 MB) with weight 140107565 (76.21/col)
Mon Nov 25 01:41:21 2013  sparse part has weight 122773562 (66.78/col)
Mon Nov 25 01:41:21 2013  using block size 65536 for processor cache size 15360 kB
Mon Nov 25 01:41:34 2013  commencing Lanczos iteration (4 threads)
Mon Nov 25 01:41:34 2013  memory use: 465.4 MB
Mon Nov 25 01:41:44 2013  linear algebra at 0.1%, ETA 3h22m
Mon Nov 25 01:41:47 2013  checkpointing every 560000 dimensions
Mon Nov 25 04:48:52 2013  lanczos halted after 29073 iterations (dim = 1838118)
Mon Nov 25 04:48:55 2013  recovered 31 nontrivial dependencies
Mon Nov 25 04:48:55 2013  BLanczosTime: 11465
Mon Nov 25 04:48:55 2013  
Mon Nov 25 04:48:55 2013  commencing square root phase
Mon Nov 25 04:48:55 2013  reading relations for dependency 1
Mon Nov 25 04:48:56 2013  read 919164 cycles
Mon Nov 25 04:48:58 2013  cycles contain 2991216 unique relations
Mon Nov 25 04:49:21 2013  read 2991216 relations
Mon Nov 25 04:49:36 2013  multiplying 2991216 relations
Mon Nov 25 04:57:38 2013  multiply complete, coefficients have about 138.12 million bits
Mon Nov 25 04:57:40 2013  initial square root is modulo 90599
Mon Nov 25 05:07:26 2013  sqrtTime: 1111
Mon Nov 25 05:07:26 2013  prp56 factor: 55052187904392295887912740385878453627696847932573043337
Mon Nov 25 05:07:26 2013  prp80 factor: 25799954065946315168162472983932245704503625716108872721411938540818056338836237
Mon Nov 25 05:07:26 2013  elapsed time 03:29:38

GGNFS (SVN 440), msieve 1.52dev (SVN 942) for polynomial selection, msieve 1.51 (SVN 845)

9346727206510097778137702401041568877284107175870876599471157170664687033729753790141201151382149427142571349698754260676141048108453237709<139>

52697557545133685096502794940511<32>

177365472745201528254197123224184731581067489913590758272927892428288023730894988897873264657394648580488019<108>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2064099589
Step 1 took 6615ms
Step 2 took 2582ms
********** Factor found in step 2: 52697557545133685096502794940511
Found probable prime factor of 32 digits: 52697557545133685096502794940511
Composite cofactor 177365472745201528254197123224184731581067489913590758272927892428288023730894988897873264657394648580488019 has 108 digits

GMP-ECM 6.4.4 [configured with GMP 5.1.1,] [ECM]

Core-i5, 3.4 GHz, Linux (OpenSUSE)

177365472745201528254197123224184731581067489913590758272927892428288023730894988897873264657394648580488019<108>

714563599352418866651290816865656299813969622751<48>
248215096467187723722111971847609270065265379506248679968269<60>

Number: 37779_231
N = 177365472745201528254197123224184731581067489913590758272927892428288023730894988897873264657394648580488019 (108 digits)
Divisors found:
r1=714563599352418866651290816865656299813969622751 (pp48)
r2=248215096467187723722111971847609270065265379506248679968269 (pp60)
Version: Msieve v. 1.51 (SVN 845)
Total time: 5.95 hours.
Factorization parameters were as follows:
n: 177365472745201528254197123224184731581067489913590758272927892428288023730894988897873264657394648580488019
Y0: -131123347663933346658747663
Y1: 53990785830079
c0: 64795164040116484373579157713060
c1: 1905980114319259429740212
c2: -480419998112429579
c3: -7662142418
c4: 600
skew: 22899801.55
type: gnfs
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [0, 0)
Total raw relations: 5086153
Relations: 660512 relations
Pruned matrix : 386845 x 387074
Polynomial selection time: 0.00 hours.
Total sieving time: 5.80 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.09 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: gnfs,107,4,59,2000,0.0006,0.25,200,15,15000,2000,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 5.95 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz

GGNFs, Msieve

56918508422369558250591188548799155435148201468308796274212923560544288136858405103378746030499910817887795315485061252123849193699837368213442177021954367141897152400751880786149095978805367712926145974826684971<212>

498661701990761646643712681863206036587366402846759924324860088359626958220670621669957320571583055985761272427438379090164444989452351679053350011513952033760218549930783555785585265379764545730849370330335657844857163268749163<228>

3925381141412250425006617394011694151152635668717177948139591<61>
127035231491267644644401568797789773968086093646826409282751468190055906083257598510528928659825121763609232239242281592056293334426581715294669175351309975635317839293<168>

Number: n
N=498661701990761646643712681863206036587366402846759924324860088359626958220670621669957320571583055985761272427438379090164444989452351679053350011513952033760218549930783555785585265379764545730849370330335657844857163268749163  ( 228 digits)
SNFS difficulty: 235 digits.
Divisors found:

Thu Dec 24 10:41:44 2020  p61 factor: 3925381141412250425006617394011694151152635668717177948139591
Thu Dec 24 10:41:44 2020  p168 factor: 12703523149126764464440156879778977396808609364682640928275146819005590608325759851052892865982512176360923223924228159205629333442658171529466917535130997563531783
9293
Thu Dec 24 10:41:44 2020  elapsed time 35:28:22 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 34x10^234+11 = 37(233)9
#
n: 49866170199076164664371268186320603658736640284675992432486008835962695822067062166995732057158305598576127242743837909016444498945235167905335001151395203376021854993078355578558526537976454573084937
0330335657844857163268749163
m: 1000000000000000000000000000000000000000
deg: 6
c6: 34
c0: 11
skew: 0.83
# Murphy_E = 6.201e-13
type: snfs
lss: 1
rlim: 59000000
alim: 59000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
Factor base limits: 59000000/59000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved  special-q in [100000, 229500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 29253815 hash collisions in 135768416 relations (107632425 unique)
Msieve: matrix is 8442514 x 8442739 (2945.3 MB)

Sieving start time: 2020/12/17 07:01:19
Sieving end time  : 2020/12/22 23:09:58

Total sieving time: 136hrs 8min 39secs.

Total relation processing time: 34hrs 22min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 18min 10sec.

Prototype def-par.txt line would be:
snfs,235,6,0,0,0,0,0,0,0,0,59000000,59000000,30,30,60,60,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119450] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16242000K/16727236K available (14339K kernel code, 2426K rwdata, 4932K rodata, 2720K init, 4956K bss, 485236K reserved, 0K cma-reserved)
[    0.153516] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798560)
[    0.152037] smpboot: Total of 16 processors activated (102388.48 BogoMIPS)

113880419899169735297797667578225831336459287859907732711346851564375833639053975696214144161329970542792900319102748570238261275630156201985650569531871114505839<162>

187622354914911863424387180435492606731<39>

606966157901681570077888240832120743594980143213927248445230597763501877965976078088188314304587748610329073053630484279469<123>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2352749429
Step 1 took 6640ms
Step 2 took 4625ms
********** Factor found in step 2: 187622354914911863424387180435492606731
Found probable prime factor of 39 digits: 187622354914911863424387180435492606731
Composite cofactor 606966157901681570077888240832120743594980143213927248445230597763501877965976078088188314304587748610329073053630484279469 has 123 digits

GMP-ECM 7.0