1140076872416183656701301577351014207700454016092575491439506349837742073068932327379477085782351203960221<106>

17288961375083169232608048029605549<35>
65942473216422422125262858007207153303242664770758593943399626307735729<71>

Number: n
N=1140076872416183656701301577351014207700454016092575491439506349837742073068932327379477085782351203960221
  ( 106 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=17288961375083169232608048029605549 (pp35)
 r2=65942473216422422125262858007207153303242664770758593943399626307735729 (pp71)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.58 hours.
Scaled time: 1.06 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_8_1_109_3
n: 1140076872416183656701301577351014207700454016092575491439506349837742073068932327379477085782351203960221
m: 10000000000000000000000
deg: 5
c5: 73
c0: 17
skew: 0.75
type: snfs
lss: 1
rlim: 510000
alim: 510000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
qintsize: 20000
Factor base limits: 510000/510000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [255000, 375001)
Primes: RFBsize:42291, AFBsize:42236, largePrimes:1115199 encountered
Relations: rels:1060215, finalFF:113391
Max relations in full relation-set: 48
Initial matrix: 84592 x 113391 with sparse part having weight 4903067.
Pruned matrix : 70920 x 71406 with weight 2269024.
Total sieving time: 0.55 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Total square root time: 0.01 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,111,5,0,0,0,0,0,0,0,0,510000,510000,25,25,44,44,2.2,2.2,50000
total time: 0.58 hours.
 --------- CPU info (if available) ----------

90740791430927162098033555988150928454479341098957224962459877227052620215639913099<83>

571785873333381219056107281470633<33>
158697155111456401907712179353505517156780184656403<51>

Fri Dec 25 16:39:59 2009  Msieve v. 1.39
Fri Dec 25 16:39:59 2009  random seeds: 28e46ee7 78aecebb
Fri Dec 25 16:39:59 2009  factoring 90740791430927162098033555988150928454479341098957224962459877227052620215639913099 (83 digits)
Fri Dec 25 16:40:00 2009  searching for 15-digit factors
Fri Dec 25 16:40:02 2009  commencing quadratic sieve (83-digit input)
Fri Dec 25 16:40:02 2009  using multiplier of 11
Fri Dec 25 16:40:02 2009  using 64kb Pentium 4 sieve core
Fri Dec 25 16:40:02 2009  sieve interval: 6 blocks of size 65536
Fri Dec 25 16:40:02 2009  processing polynomials in batches of 17
Fri Dec 25 16:40:02 2009  using a sieve bound of 1380721 (52941 primes)
Fri Dec 25 16:40:02 2009  using large prime bound of 121503448 (26 bits)
Fri Dec 25 16:40:02 2009  using trial factoring cutoff of 27 bits
Fri Dec 25 16:40:02 2009  polynomial 'A' values have 11 factors
Fri Dec 25 17:18:18 2009  53124 relations (27397 full + 25727 combined from 277486 partial), need 53037
Fri Dec 25 17:18:19 2009  begin with 304883 relations
Fri Dec 25 17:18:20 2009  reduce to 75578 relations in 2 passes
Fri Dec 25 17:18:20 2009  attempting to read 75578 relations
Fri Dec 25 17:18:22 2009  recovered 75578 relations
Fri Dec 25 17:18:22 2009  recovered 68355 polynomials
Fri Dec 25 17:18:22 2009  attempting to build 53124 cycles
Fri Dec 25 17:18:22 2009  found 53124 cycles in 1 passes
Fri Dec 25 17:18:22 2009  distribution of cycle lengths:
Fri Dec 25 17:18:22 2009     length 1 : 27397
Fri Dec 25 17:18:22 2009     length 2 : 25727
Fri Dec 25 17:18:22 2009  largest cycle: 2 relations
Fri Dec 25 17:18:22 2009  matrix is 52941 x 53124 (7.3 MB) with weight 1706774 (32.13/col)
Fri Dec 25 17:18:22 2009  sparse part has weight 1706774 (32.13/col)
Fri Dec 25 17:18:23 2009  filtering completed in 4 passes
Fri Dec 25 17:18:23 2009  matrix is 38259 x 38323 (5.8 MB) with weight 1368218 (35.70/col)
Fri Dec 25 17:18:23 2009  sparse part has weight 1368218 (35.70/col)
Fri Dec 25 17:18:23 2009  saving the first 48 matrix rows for later
Fri Dec 25 17:18:23 2009  matrix is 38211 x 38323 (3.7 MB) with weight 1020504 (26.63/col)
Fri Dec 25 17:18:23 2009  sparse part has weight 728962 (19.02/col)
Fri Dec 25 17:18:23 2009  matrix includes 64 packed rows
Fri Dec 25 17:18:23 2009  using block size 15329 for processor cache size 512 kB
Fri Dec 25 17:18:23 2009  commencing Lanczos iteration
Fri Dec 25 17:18:23 2009  memory use: 4.2 MB
Fri Dec 25 17:18:35 2009  lanczos halted after 606 iterations (dim = 38205)
Fri Dec 25 17:18:35 2009  recovered 14 nontrivial dependencies
Fri Dec 25 17:18:35 2009  prp33 factor: 571785873333381219056107281470633
Fri Dec 25 17:18:35 2009  prp51 factor: 158697155111456401907712179353505517156780184656403
Fri Dec 25 17:18:35 2009  elapsed time 00:38:36

176652336449632923363153391827937121757134931223406692705517673513355035983000313950204261<90>

28808302077391310472306578254891243<35>
6131994033354338944152150549622399890480568691762354927<55>

Fri Dec 25 17:44:14 2009  Msieve v. 1.39
Fri Dec 25 17:44:14 2009  random seeds: 8d3e7221 e242d567
Fri Dec 25 17:44:14 2009  factoring 176652336449632923363153391827937121757134931223406692705517673513355035983000313950204261 (90 digits)
Fri Dec 25 17:44:16 2009  searching for 15-digit factors
Fri Dec 25 17:44:18 2009  commencing quadratic sieve (90-digit input)
Fri Dec 25 17:44:18 2009  using multiplier of 5
Fri Dec 25 17:44:18 2009  using 64kb Pentium 4 sieve core
Fri Dec 25 17:44:18 2009  sieve interval: 18 blocks of size 65536
Fri Dec 25 17:44:18 2009  processing polynomials in batches of 6
Fri Dec 25 17:44:18 2009  using a sieve bound of 1575269 (59635 primes)
Fri Dec 25 17:44:18 2009  using large prime bound of 126021520 (26 bits)
Fri Dec 25 17:44:18 2009  using double large prime bound of 380890718607520 (42-49 bits)
Fri Dec 25 17:44:18 2009  using trial factoring cutoff of 49 bits
Fri Dec 25 17:44:18 2009  polynomial 'A' values have 11 factors
Fri Dec 25 19:47:24 2009  59756 relations (16412 full + 43344 combined from 629864 partial), need 59731
Fri Dec 25 19:47:27 2009  begin with 646276 relations
Fri Dec 25 19:47:27 2009  reduce to 144537 relations in 11 passes
Fri Dec 25 19:47:27 2009  attempting to read 144537 relations
Fri Dec 25 19:47:31 2009  recovered 144537 relations
Fri Dec 25 19:47:31 2009  recovered 121227 polynomials
Fri Dec 25 19:47:32 2009  attempting to build 59756 cycles
Fri Dec 25 19:47:32 2009  found 59756 cycles in 6 passes
Fri Dec 25 19:47:32 2009  distribution of cycle lengths:
Fri Dec 25 19:47:32 2009     length 1 : 16412
Fri Dec 25 19:47:32 2009     length 2 : 11517
Fri Dec 25 19:47:32 2009     length 3 : 10312
Fri Dec 25 19:47:32 2009     length 4 : 7860
Fri Dec 25 19:47:32 2009     length 5 : 5568
Fri Dec 25 19:47:32 2009     length 6 : 3577
Fri Dec 25 19:47:32 2009     length 7 : 2093
Fri Dec 25 19:47:32 2009     length 9+: 2417
Fri Dec 25 19:47:32 2009  largest cycle: 18 relations
Fri Dec 25 19:47:32 2009  matrix is 59635 x 59756 (14.7 MB) with weight 3624148 (60.65/col)
Fri Dec 25 19:47:32 2009  sparse part has weight 3624148 (60.65/col)
Fri Dec 25 19:47:33 2009  filtering completed in 3 passes
Fri Dec 25 19:47:33 2009  matrix is 55478 x 55542 (13.8 MB) with weight 3407636 (61.35/col)
Fri Dec 25 19:47:33 2009  sparse part has weight 3407636 (61.35/col)
Fri Dec 25 19:47:34 2009  saving the first 48 matrix rows for later
Fri Dec 25 19:47:34 2009  matrix is 55430 x 55542 (10.5 MB) with weight 2861767 (51.52/col)
Fri Dec 25 19:47:34 2009  sparse part has weight 2417834 (43.53/col)
Fri Dec 25 19:47:34 2009  matrix includes 64 packed rows
Fri Dec 25 19:47:34 2009  using block size 21845 for processor cache size 512 kB
Fri Dec 25 19:47:35 2009  commencing Lanczos iteration
Fri Dec 25 19:47:35 2009  memory use: 9.3 MB
Fri Dec 25 19:48:08 2009  lanczos halted after 877 iterations (dim = 55430)
Fri Dec 25 19:48:08 2009  recovered 18 nontrivial dependencies
Fri Dec 25 19:48:09 2009  prp35 factor: 28808302077391310472306578254891243
Fri Dec 25 19:48:09 2009  prp55 factor: 6131994033354338944152150549622399890480568691762354927
Fri Dec 25 19:48:09 2009  elapsed time 02:03:55

163839218106104326862614741818043845416922147853654362408606857663521535227109999<81>

360048390588018911510814299879560340171<39>
455047772435609644108134553747154826524269<42>

Fri Dec 25 19:56:23 2009  Msieve v. 1.39
Fri Dec 25 19:56:23 2009  random seeds: 1569a2e8 b5b575d0
Fri Dec 25 19:56:23 2009  factoring 163839218106104326862614741818043845416922147853654362408606857663521535227109999 (81 digits)
Fri Dec 25 19:56:24 2009  searching for 15-digit factors
Fri Dec 25 19:56:26 2009  commencing quadratic sieve (81-digit input)
Fri Dec 25 19:56:26 2009  using multiplier of 71
Fri Dec 25 19:56:26 2009  using 64kb Pentium 4 sieve core
Fri Dec 25 19:56:26 2009  sieve interval: 6 blocks of size 65536
Fri Dec 25 19:56:26 2009  processing polynomials in batches of 17
Fri Dec 25 19:56:26 2009  using a sieve bound of 1309421 (50080 primes)
Fri Dec 25 19:56:26 2009  using large prime bound of 129632679 (26 bits)
Fri Dec 25 19:56:26 2009  using trial factoring cutoff of 27 bits
Fri Dec 25 19:56:26 2009  polynomial 'A' values have 10 factors
Fri Dec 25 20:21:09 2009  50248 relations (25817 full + 24431 combined from 269212 partial), need 50176
Fri Dec 25 20:21:10 2009  begin with 295029 relations
Fri Dec 25 20:21:10 2009  reduce to 71658 relations in 2 passes
Fri Dec 25 20:21:10 2009  attempting to read 71658 relations
Fri Dec 25 20:21:12 2009  recovered 71658 relations
Fri Dec 25 20:21:12 2009  recovered 61972 polynomials
Fri Dec 25 20:21:12 2009  attempting to build 50248 cycles
Fri Dec 25 20:21:12 2009  found 50248 cycles in 1 passes
Fri Dec 25 20:21:12 2009  distribution of cycle lengths:
Fri Dec 25 20:21:12 2009     length 1 : 25817
Fri Dec 25 20:21:12 2009     length 2 : 24431
Fri Dec 25 20:21:12 2009  largest cycle: 2 relations
Fri Dec 25 20:21:12 2009  matrix is 50080 x 50248 (6.7 MB) with weight 1555105 (30.95/col)
Fri Dec 25 20:21:12 2009  sparse part has weight 1555105 (30.95/col)
Fri Dec 25 20:21:13 2009  filtering completed in 3 passes
Fri Dec 25 20:21:13 2009  matrix is 35746 x 35810 (5.3 MB) with weight 1246641 (34.81/col)
Fri Dec 25 20:21:13 2009  sparse part has weight 1246641 (34.81/col)
Fri Dec 25 20:21:13 2009  saving the first 48 matrix rows for later
Fri Dec 25 20:21:13 2009  matrix is 35698 x 35810 (4.0 MB) with weight 1001957 (27.98/col)
Fri Dec 25 20:21:13 2009  sparse part has weight 841452 (23.50/col)
Fri Dec 25 20:21:13 2009  matrix includes 64 packed rows
Fri Dec 25 20:21:13 2009  using block size 14324 for processor cache size 512 kB
Fri Dec 25 20:21:13 2009  commencing Lanczos iteration
Fri Dec 25 20:21:13 2009  memory use: 4.2 MB
Fri Dec 25 20:21:25 2009  lanczos halted after 566 iterations (dim = 35692)
Fri Dec 25 20:21:25 2009  recovered 15 nontrivial dependencies
Fri Dec 25 20:21:26 2009  prp39 factor: 360048390588018911510814299879560340171
Fri Dec 25 20:21:26 2009  prp42 factor: 455047772435609644108134553747154826524269
Fri Dec 25 20:21:26 2009  elapsed time 00:25:03

113123043792028395932085995982383600135916831346114549233543698978046601074915653928514213454447213237<102>

3193529529869076315969156217591<31>
35422576410829697301610949465338800906401213092713734855093957967741107<71>

Number: 81113_123
N=113123043792028395932085995982383600135916831346114549233543698978046601074915653928514213454447213237
  ( 102 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=3193529529869076315969156217591 (pp31)
 r2=35422576410829697301610949465338800906401213092713734855093957967741107 (pp71)
Version: Msieve-1.40
Total time: 1.87 hours.
Scaled time: 6.30 units (timescale=3.367).
Factorization parameters were as follows:
name: 81113_123
n: 113123043792028395932085995982383600135916831346114549233543698978046601074915653928514213454447213237
m: 1000000000000000000000000
deg: 5
c5: 73000
c0: 17
skew: 0.19
type: snfs
lss: 1
rlim: 840000
alim: 840000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 840000/840000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [420000, 820001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 98706 x 98954
Total sieving time: 1.83 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,124.000,5,0,0,0,0,0,0,0,0,840000,840000,25,25,46,46,2.2,2.2,50000
total time: 1.87 hours.
 --------- CPU info (if available) ----------

Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

22224718651001685202078956554482624604027299135041508119387553597492430813525656454710046261023614812552445677<110>

4516668276671408372535932075721397<34>
4920600161360611078855281402744796833170083005776431740107754894291722737241<76>

Number: 81113_125
N=22224718651001685202078956554482624604027299135041508119387553597492430813525656454710046261023614812552445677
  ( 110 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=4516668276671408372535932075721397 (pp34)
 r2=4920600161360611078855281402744796833170083005776431740107754894291722737241 (pp76)
Version: Msieve-1.40
Total time: 1.64 hours.
Scaled time: 5.46 units (timescale=3.333).
Factorization parameters were as follows:
name: 81113_125
n: 22224718651001685202078956554482624604027299135041508119387553597492430813525656454710046261023614812552445677
m: 10000000000000000000000000
deg: 5
c5: 73
c0: 17
skew: 0.75
type: snfs
lss: 1
rlim: 910000
alim: 910000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 910000/910000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [455000, 755001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 113154 x 113400
Total sieving time: 1.59 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,126.000,5,0,0,0,0,0,0,0,0,910000,910000,26,26,46,46,2.3,2.3,50000
total time: 1.64 hours.
 --------- CPU info (if available) ----------

Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

66911606091221882292853807626770775644445001777494391969489392127703598145079039029271347<89>

8807863511118081438403447564327236999049<40>
7596803243687871089056339899052422078693151715803<49>

Fri Dec 25 21:03:55 2009  Msieve v. 1.39
Fri Dec 25 21:03:55 2009  random seeds: cbfa3e39 c71df5d4
Fri Dec 25 21:03:55 2009  factoring 66911606091221882292853807626770775644445001777494391969489392127703598145079039029271347 (89 digits)
Fri Dec 25 21:03:56 2009  searching for 15-digit factors
Fri Dec 25 21:03:58 2009  commencing quadratic sieve (89-digit input)
Fri Dec 25 21:03:58 2009  using multiplier of 3
Fri Dec 25 21:03:58 2009  using 64kb Pentium 4 sieve core
Fri Dec 25 21:03:58 2009  sieve interval: 17 blocks of size 65536
Fri Dec 25 21:03:58 2009  processing polynomials in batches of 6
Fri Dec 25 21:03:58 2009  using a sieve bound of 1564393 (59333 primes)
Fri Dec 25 21:03:58 2009  using large prime bound of 125151440 (26 bits)
Fri Dec 25 21:03:58 2009  using double large prime bound of 376170311388240 (42-49 bits)
Fri Dec 25 21:03:58 2009  using trial factoring cutoff of 49 bits
Fri Dec 25 21:03:58 2009  polynomial 'A' values have 11 factors
Fri Dec 25 22:51:44 2009  59844 relations (16470 full + 43374 combined from 627408 partial), need 59429
Fri Dec 25 22:51:46 2009  begin with 643878 relations
Fri Dec 25 22:51:47 2009  reduce to 143646 relations in 12 passes
Fri Dec 25 22:51:47 2009  attempting to read 143646 relations
Fri Dec 25 22:51:51 2009  recovered 143646 relations
Fri Dec 25 22:51:51 2009  recovered 117928 polynomials
Fri Dec 25 22:51:51 2009  attempting to build 59844 cycles
Fri Dec 25 22:51:51 2009  found 59844 cycles in 5 passes
Fri Dec 25 22:51:51 2009  distribution of cycle lengths:
Fri Dec 25 22:51:51 2009     length 1 : 16470
Fri Dec 25 22:51:51 2009     length 2 : 11794
Fri Dec 25 22:51:51 2009     length 3 : 10691
Fri Dec 25 22:51:51 2009     length 4 : 7819
Fri Dec 25 22:51:51 2009     length 5 : 5432
Fri Dec 25 22:51:51 2009     length 6 : 3362
Fri Dec 25 22:51:51 2009     length 7 : 1970
Fri Dec 25 22:51:51 2009     length 9+: 2306
Fri Dec 25 22:51:51 2009  largest cycle: 16 relations
Fri Dec 25 22:51:52 2009  matrix is 59333 x 59844 (14.5 MB) with weight 3561626 (59.52/col)
Fri Dec 25 22:51:52 2009  sparse part has weight 3561626 (59.52/col)
Fri Dec 25 22:51:53 2009  filtering completed in 3 passes
Fri Dec 25 22:51:53 2009  matrix is 54879 x 54943 (13.3 MB) with weight 3277217 (59.65/col)
Fri Dec 25 22:51:53 2009  sparse part has weight 3277217 (59.65/col)
Fri Dec 25 22:51:53 2009  saving the first 48 matrix rows for later
Fri Dec 25 22:51:53 2009  matrix is 54831 x 54943 (9.8 MB) with weight 2710493 (49.33/col)
Fri Dec 25 22:51:53 2009  sparse part has weight 2233703 (40.65/col)
Fri Dec 25 22:51:53 2009  matrix includes 64 packed rows
Fri Dec 25 22:51:53 2009  using block size 21845 for processor cache size 512 kB
Fri Dec 25 22:51:54 2009  commencing Lanczos iteration
Fri Dec 25 22:51:54 2009  memory use: 8.9 MB
Fri Dec 25 22:52:25 2009  lanczos halted after 869 iterations (dim = 54824)
Fri Dec 25 22:52:26 2009  recovered 13 nontrivial dependencies
Fri Dec 25 22:52:26 2009  prp40 factor: 8807863511118081438403447564327236999049
Fri Dec 25 22:52:26 2009  prp49 factor: 7596803243687871089056339899052422078693151715803
Fri Dec 25 22:52:26 2009  elapsed time 01:48:31

270370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370371<132>

901115896568616616303029954905224423463773024413969713<54>
300039508125337654128915079093446004442270863338652763310722672562208472089267<78>

Number: 81113_131
N=270370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370371
  ( 132 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=901115896568616616303029954905224423463773024413969713 (pp54)
 r2=300039508125337654128915079093446004442270863338652763310722672562208472089267 (pp78)
Version: Msieve-1.40
Total time: 3.78 hours.
Scaled time: 7.93 units (timescale=2.099).
Factorization parameters were as follows:
name: 81113_131
n: 270370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370371
m: 100000000000000000000000000
deg: 5
c5: 730
c0: 17
skew: 0.47
type: snfs
lss: 1
rlim: 1150000
alim: 1150000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1150000/1150000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [575000, 1075001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 166370 x 166606
Total sieving time: 3.61 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,132.000,5,0,0,0,0,0,0,0,0,1150000,1150000,26,26,47,47,2.3,2.3,50000
total time: 3.78 hours.
 --------- CPU info (if available) ----------

602079184062656978792886796353667221061735953627208317903017723089717045559245411279120372197442712003475739<108>

702123156757712519031453798485544502938488592323083<51>
857512216009165830019053825024336782383782476909346058033<57>

N=602079184062656978792886796353667221061735953627208317903017723089717045559245411279120372197442712003475739
  ( 108 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=702123156757712519031453798485544502938488592323083 (pp51)
 r2=857512216009165830019053825024336782383782476909346058033 (pp57)
Version: Msieve-1.40
Total time: 4.77 hours.
Scaled time: 8.73 units (timescale=1.829).
Factorization parameters were as follows:
n: 602079184062656978792886796353667221061735953627208317903017723089717045559245411279120372197442712003475739
m: 100000000000000000000000000
deg: 5
c5: 730000
c0: 17
skew: 0.12
type: snfs
lss: 1
rlim: 1290000
alim: 1290000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1290000/1290000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [645000, 1620001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 207813 x 208040
Total sieving time: 4.55 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,135.000,5,0,0,0,0,0,0,0,0,1290000,1290000,26,26,47,47,2.3,2.3,75000
total time: 4.77 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

4049435313445243145081571668959828155766049931757007601017678699980977351454635253218358122147761<97>

1643004455893277707598416968329253428023223<43>
2464652666595249043946775012950632313839966108011752407<55>

Number: n
N=4049435313445243145081571668959828155766049931757007601017678699980977351454635253218358122147761
  ( 97 digits)
Divisors found:

Sat Dec 26 00:13:50 2009  prp43 factor: 1643004455893277707598416968329253428023223
Sat Dec 26 00:13:50 2009  prp55 factor: 2464652666595249043946775012950632313839966108011752407
Sat Dec 26 00:13:50 2009  elapsed time 00:07:56 (Msieve 1.43 - dependency 1)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 2.18 hours.
Scaled time: 3.99 units (timescale=1.834).
Factorization parameters were as follows:
name: KA_8_1_143_3
n: 4049435313445243145081571668959828155766049931757007601017678699980977351454635253218358122147761
Y0: -230281139953553709142197
Y1:  10717884922201
c0:  1605908082544278887090075744
c1: -6967643114888019667902
c2: -6574508700636113
c3: -107188944
c4:  1440
skew: 1751097.82
type: gnfs
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 20000
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 50/50
Sieved  special-q in [600000, 918469)
Primes: RFBsize:92938, AFBsize:93099, largePrimes:2465023 encountered
Relations: rels:2425587, finalFF:203641
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 276018 hash collisions in 2772746 relations
Msieve: matrix is 164646 x 164877 (45.3 MB)

Total sieving time: 2.13 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,96,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,50,50,2.4,2.4,60000
total time: 2.18 hours.
 --------- CPU info (if available) ----------

351028401999251916134821853431037226688119725436192589359670396617620377086980693969736688732001770672798265995087907248189<123>

324397557949150882736842313530027<33>
1082093232200827485232398232958400591728533542755009125044382690865675948375507134070094007<91>

N=351028401999251916134821853431037226688119725436192589359670396617620377086980693969736688732001770672798265995087907248189
  ( 123 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=324397557949150882736842313530027 (pp33)
 r2=1082093232200827485232398232958400591728533542755009125044382690865675948375507134070094007 (pp91)
Version: Msieve-1.40
Total time: 8.47 hours.
Scaled time: 15.43 units (timescale=1.823).
Factorization parameters were as follows:
n: 351028401999251916134821853431037226688119725436192589359670396617620377086980693969736688732001770672798265995087907248189
m: 100000000000000000000000000000
deg: 5
c5: 73
c0: 17
skew: 0.75
type: snfs
lss: 1
rlim: 1960000
alim: 1960000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1960000/1960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [980000, 2480001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 264058 x 264283
Total sieving time: 8.32 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1960000,1960000,26,26,49,49,2.3,2.3,100000
total time: 8.47 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

119518010089871485840556901782793184277006355051084040481066496229121998790947123624282808570238561315302969630599<114>

537815482522942323727899388886316826443949<42>
222228652714126808627854028677300737955480939500280191440675614780670851<72>

N=119518010089871485840556901782793184277006355051084040481066496229121998790947123624282808570238561315302969630599
  ( 114 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=537815482522942323727899388886316826443949 (pp42)
 r2=222228652714126808627854028677300737955480939500280191440675614780670851 (pp72)
Version: Msieve-1.40
Total time: 9.01 hours.
Scaled time: 17.26 units (timescale=1.916).
Factorization parameters were as follows:
n: 119518010089871485840556901782793184277006355051084040481066496229121998790947123624282808570238561315302969630599
m: 100000000000000000000000000000
deg: 5
c5: 730
c0: 17
skew: 0.47
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 319844 x 320071
Total sieving time: 8.75 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,147.000,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 9.01 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

58952446397670366423086907740884604848531269883950816758660393478899455749858136033331454447681313330213403804277730168607<122>

20886560597602026806323136874983100754199<41>
2822506181531805700235175141346358488148133171290045158430063248803979898962951993<82>

N=58952446397670366423086907740884604848531269883950816758660393478899455749858136033331454447681313330213403804277730168607
  ( 122 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=20886560597602026806323136874983100754199 (pp41)
 r2=2822506181531805700235175141346358488148133171290045158430063248803979898962951993 (pp82)
Version: Msieve-1.40
Total time: 11.58 hours.
Scaled time: 21.05 units (timescale=1.818).
Factorization parameters were as follows:
n: 58952446397670366423086907740884604848531269883950816758660393478899455749858136033331454447681313330213403804277730168607
m: 100000000000000000000000000000
deg: 5
c5: 7300
c0: 17
skew: 0.30
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 3150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 340178 x 340406
Total sieving time: 11.35 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,148.000,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 11.58 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

253343183612790017211717265292660824382436949602662535789530283629893510565256412396846019<90>

152895783386268092363880036050242160838011941<45>
1656966451277186284241276583314458613058031559<46>

Sat Dec 26 08:14:37 2009  Msieve v. 1.42
Sat Dec 26 08:14:37 2009  random seeds: d11307ec a5c8cf28
Sat Dec 26 08:14:37 2009  factoring 253343183612790017211717265292660824382436949602662535789530283629893510565256412396846019 (90 digits)
Sat Dec 26 08:14:38 2009  searching for 15-digit factors
Sat Dec 26 08:14:38 2009  commencing quadratic sieve (90-digit input)
Sat Dec 26 08:14:38 2009  using multiplier of 3
Sat Dec 26 08:14:38 2009  using 32kb Intel Core sieve core
Sat Dec 26 08:14:38 2009  sieve interval: 35 blocks of size 32768
Sat Dec 26 08:14:38 2009  processing polynomials in batches of 6
Sat Dec 26 08:14:38 2009  using a sieve bound of 1573699 (59667 primes)
Sat Dec 26 08:14:38 2009  using large prime bound of 125895920 (26 bits)
Sat Dec 26 08:14:38 2009  using double large prime bound of 380207692734720 (42-49 bits)
Sat Dec 26 08:14:38 2009  using trial factoring cutoff of 49 bits
Sat Dec 26 08:14:38 2009  polynomial 'A' values have 11 factors
Sat Dec 26 09:37:36 2009  59859 relations (15315 full + 44544 combined from 640664 partial), need 59763
Sat Dec 26 09:37:37 2009  begin with 655979 relations
Sat Dec 26 09:37:37 2009  reduce to 147934 relations in 10 passes
Sat Dec 26 09:37:37 2009  attempting to read 147934 relations
Sat Dec 26 09:37:39 2009  recovered 147934 relations
Sat Dec 26 09:37:39 2009  recovered 129529 polynomials
Sat Dec 26 09:37:40 2009  attempting to build 59859 cycles
Sat Dec 26 09:37:40 2009  found 59859 cycles in 6 passes
Sat Dec 26 09:37:40 2009  distribution of cycle lengths:
Sat Dec 26 09:37:40 2009     length 1 : 15315
Sat Dec 26 09:37:40 2009     length 2 : 11329
Sat Dec 26 09:37:40 2009     length 3 : 10572
Sat Dec 26 09:37:40 2009     length 4 : 8147
Sat Dec 26 09:37:40 2009     length 5 : 5744
Sat Dec 26 09:37:40 2009     length 6 : 3734
Sat Dec 26 09:37:40 2009     length 7 : 2259
Sat Dec 26 09:37:40 2009     length 9+: 2759
Sat Dec 26 09:37:40 2009  largest cycle: 18 relations
Sat Dec 26 09:37:40 2009  matrix is 59667 x 59859 (15.1 MB) with weight 3707861 (61.94/col)
Sat Dec 26 09:37:40 2009  sparse part has weight 3707861 (61.94/col)
Sat Dec 26 09:37:41 2009  filtering completed in 3 passes
Sat Dec 26 09:37:41 2009  matrix is 56143 x 56207 (14.2 MB) with weight 3508721 (62.42/col)
Sat Dec 26 09:37:41 2009  sparse part has weight 3508721 (62.42/col)
Sat Dec 26 09:37:41 2009  saving the first 48 matrix rows for later
Sat Dec 26 09:37:41 2009  matrix is 56095 x 56207 (10.8 MB) with weight 2963212 (52.72/col)
Sat Dec 26 09:37:41 2009  sparse part has weight 2486996 (44.25/col)
Sat Dec 26 09:37:41 2009  matrix includes 64 packed rows
Sat Dec 26 09:37:41 2009  using block size 22482 for processor cache size 1024 kB
Sat Dec 26 09:37:42 2009  commencing Lanczos iteration
Sat Dec 26 09:37:42 2009  memory use: 10.0 MB
Sat Dec 26 09:38:04 2009  lanczos halted after 889 iterations (dim = 56091)
Sat Dec 26 09:38:04 2009  recovered 15 nontrivial dependencies
Sat Dec 26 09:38:04 2009  prp45 factor: 152895783386268092363880036050242160838011941
Sat Dec 26 09:38:04 2009  prp46 factor: 1656966451277186284241276583314458613058031559
Sat Dec 26 09:38:04 2009  elapsed time 01:23:27

558080103481827272429883051267220059311885402055046313049171315637411865157805701944550509654955830915765077492524058867315755752359<132>

2010289375053681086873344402609<31>
277611825644218394130649983773936507175866802697932414792370446246214827063245411865426623265356577751<102>

Using B1=935959, B2=935959-871204962, polynomial Dickson(3), sigma=2243557165
Step 1 took 61532ms
Step 2 took 18790ms
********** Factor found in step 2: 2010289375053681086873344402609
Found probable prime factor of 31 digits: 2010289375053681086873344402609
Probable prime cofactor 277611825644218394130649983773936507175866802697932414792370446246214827063245411865426623265356577751 has 102 digits

123810514898885008857138212862645997836390458759619260218652353314443433837385306504086401211512034352681335109515791527970411441445649857562657<144>

5840155226194428445377962035601<31>
21199867144552358109873904011508598717547326751348726833015426608555493660922436160155041827141260812244056493457<113>

Number: 81113_152
N=123810514898885008857138212862645997836390458759619260218652353314443433837385306504086401211512034352681335109515791527970411441445649857562657
  ( 144 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=5840155226194428445377962035601 (pp31)
 r2=21199867144552358109873904011508598717547326751348726833015426608555493660922436160155041827141260812244056493457 (pp113)
Version: Msieve v. 1.42
Total time: 1.16 hours.
Scaled time: 0.92 units (timescale=0.796).
Factorization parameters were as follows:
name: 81113_152
n: 123810514898885008857138212862645997836390458759619260218652353314443433837385306504086401211512034352681335109515791527970411441445649857562657
m: 1000000000000000000000000000000
deg: 5
c5: 7300
c0: 17
skew: 0.30
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 544296 x 544522
Total sieving time: 0.00 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.96 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 1.16 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3720.68 BogoMIPS (lpj=1860340)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860572)
Total of 2 processors activated (7441.82 BogoMIPS).

Total time: 15 hours 30 min.

498759616342293009665638534411921312350039578999689960814000086280947840849780674538039229496257797737834428244218527391<120>

7104202155752940347743725596415404003<37>
53369900967015071426255265912355548287<38>
1315465837909749657717601934172592645524186731<46>

Number: 81113_154
N=498759616342293009665638534411921312350039578999689960814000086280947840849780674538039229496257797737834428244218527391
  ( 120 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=7104202155752940347743725596415404003 (pp37)
 r2=53369900967015071426255265912355548287 (pp38)
 r3=1315465837909749657717601934172592645524186731 (pp46)
Version: Msieve v. 1.42
Total time: 1.42 hours.
Scaled time: 0.97 units (timescale=0.682).
Factorization parameters were as follows:
name: 81113_154
n: 498759616342293009665638534411921312350039578999689960814000086280947840849780674538039229496257797737834428244218527391
m: 1000000000000000000000000000000
deg: 5
c5: 730000
c0: 17
skew: 0.12
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 553951 x 554176
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.99 hours.
Time per square root: 0.34 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 1.42 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3720.68 BogoMIPS (lpj=1860340)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860572)
Total of 2 processors activated (7441.82 BogoMIPS).

Total time: 25 hours 35 min.

158832949447149282541776275000496624941250846900550142942039224036203294600069185892144115792962512356061175228491532800407447855414670729395934141941<150>

325707309800208124661633560352976721<36>

487655464486132909668078753942844887387813663047274063065936473829573998876165686073689314537991578303282334974821<114>

Factor=325707309800208124661633560352976721  Method=ECM  B1=11000000  Sigma=1117936128

ECMNET/GMP-ECM 6.2.3

487655464486132909668078753942844887387813663047274063065936473829573998876165686073689314537991578303282334974821<114>

70099381410708186362622325161860776885012360033027<50>
6956630068231101657647981124337934817078518856984832296341237623<64>

Number: 81113_155
N=487655464486132909668078753942844887387813663047274063065936473829573998876165686073689314537991578303282334974821
  ( 114 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=70099381410708186362622325161860776885012360033027 (pp50)
 r2=6956630068231101657647981124337934817078518856984832296341237623 (pp64)
Version: Msieve-1.40
Total time: 25.81 hours.
Scaled time: 56.09 units (timescale=2.173).
Factorization parameters were as follows:
name: 81113_155
n: 487655464486132909668078753942844887387813663047274063065936473829573998876165686073689314537991578303282334974821
m: 10000000000000000000000000000000
deg: 5
c5: 73
c0: 17
skew: 0.75
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 474275 x 474523
Total sieving time: 25.15 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.50 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 25.81 hours.
 --------- CPU info (if available) ----------

Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

123480829154778108399317546603287365489722857359025280849588295900454494399957376593368588031179<96>

41557725520882498397379235936464313<35>
2971308646156050103315802571822510695501231923969666308536483<61>

Number: 81113_157
N=123480829154778108399317546603287365489722857359025280849588295900454494399957376593368588031179
  ( 96 digits)
Divisors found:
 r1=41557725520882498397379235936464313
 r2=2971308646156050103315802571822510695501231923969666308536483
Version: 
Total time: 1.63 hours.
Scaled time: 3.88 units (timescale=2.387).
Factorization parameters were as follows:
name: 81113_157
n: 123480829154778108399317546603287365489722857359025280849588295900454494399957376593368588031179
skew: 6526.29
# norm 2.03e+13
c5: 25200
c4: -58543298
c3: -2987832171837
c2: 8034882245941296
c1: 61380236168471465220
c0: -627848832236736104800
# alpha -6.02
Y1: 3706092049
Y0: -1374169621788655539
# Murphy_E 5.84e-09
# M 12451356207390164271287549005349463246899243537047612105306362523060791023516696915679463733069
type: gnfs
rlim: 800000
alim: 800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 40000
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [400000, 720001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3796366
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 120129 x 120377
Polynomial selection time: 0.10 hours.
Total sieving time: 1.33 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,95,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,800000,800000,26,26,48,48,2.5,2.5,40000
total time: 1.63 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: 8046640k/8912896k available (2550k kernel code, 339524k reserved, 1291k data, 208k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.51 BogoMIPS (lpj=2672756)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5237.80 BogoMIPS (lpj=2618900)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

409117567780802871082121814656702490790503488312413565080379049361877415385562778786394088382390152067454358988191<114>

177730862646144801146616421414071260890837<42>
2301893783047348132337086471590586050256819744337369276441231622197140643<73>

Number: 81113_159
N=409117567780802871082121814656702490790503488312413565080379049361877415385562778786394088382390152067454358988191
  ( 114 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=177730862646144801146616421414071260890837 (pp42)
 r2=2301893783047348132337086471590586050256819744337369276441231622197140643 (pp73)
Version: Msieve-1.40
Total time: 52.05 hours.
Scaled time: 105.24 units (timescale=2.022).
Factorization parameters were as follows:
name: 81113_159
n: 409117567780802871082121814656702490790503488312413565080379049361877415385562778786394088382390152067454358988191
m: 10000000000000000000000000000000
deg: 5
c5: 730000
c0: 17
skew: 0.12
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, 3800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 677168 x 677416
Total sieving time: 50.54 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.22 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 52.05 hours.
 --------- CPU info (if available) ----------

Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

7154795936665058239926771865837644798465010521044714557543800047478647514337853069432421614145327759027231512601899953670062856016637074284247123853<148>

2746521964426966819043000976866879441333623227037591<52>
2605038674124651261573443837726372585386278522467401011113383078372323744687814227948616098741883<97>

Number: 81113_161
N=7154795936665058239926771865837644798465010521044714557543800047478647514337853069432421614145327759027231512601899953670062856016637074284247123853
  ( 148 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=2746521964426966819043000976866879441333623227037591 (pp52)
 r2=2605038674124651261573443837726372585386278522467401011113383078372323744687814227948616098741883 (pp97)
Version: Msieve-1.40
Total time: 44.06 hours.
Scaled time: 90.23 units (timescale=2.048).
Factorization parameters were as follows:
name: 81113_161
n: 7154795936665058239926771865837644798465010521044714557543800047478647514337853069432421614145327759027231512601899953670062856016637074284247123853
m: 100000000000000000000000000000000
deg: 5
c5: 730
c0: 17
skew: 0.47
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 660670 x 660918
Total sieving time: 42.77 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.06 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 44.06 hours.
 --------- CPU info (if available) ----------

Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

51707237922264494532921995020969422326316422286737306930296094307595097240757327598967534911378811715313933<107>

3727580669282557796086601038722866594599<40>
13871527542881188356664616627016594833036524314392344604581707844267<68>

N=51707237922264494532921995020969422326316422286737306930296094307595097240757327598967534911378811715313933
  ( 107 digits)
Divisors found:
 r1=3727580669282557796086601038722866594599 (pp40)
 r2=13871527542881188356664616627016594833036524314392344604581707844267 (pp68)
Version: Msieve-1.40
Total time: 9.57 hours.
Scaled time: 18.45 units (timescale=1.928).
Factorization parameters were as follows:
name: a3
n: 51707237922264494532921995020969422326316422286737306930296094307595097240757327598967534911378811715313933
skew: 11090.76
# norm 4.05e+014
c5: 67980
c4: 2269369906
c3: -12839870579024
c2: -132772149694259867
c1: -422641804833780303606
c0: 7425465610793335254216
# alpha -5.43
Y1: 312529044133
Y0: -237810061540133713355
# Murphy_E 1.47e-009
# M 31404998356207306061918851361707218933300968702126650680271797407680253319574259058089484917146751654416963
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 360932 x 361160
Polynomial selection time: 0.95 hours.
Total sieving time: 7.97 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.51 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 9.57 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

153088038088034096157001970221120987933883663939114119642482678395051038328302152383414726614146712377692394760712789258923157338234959724393601897544037<153>

96798866617382851095303274672454066040481692316550861129<56>
1581506513843241672011609206119305688382386003349463821800669840193534080976493177817658051969853<97>

N=153088038088034096157001970221120987933883663939114119642482678395051038328302152383414726614146712377692394760712789258923157338234959724393601897544037
  ( 153 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=96798866617382851095303274672454066040481692316550861129 (pp56)
 r2=1581506513843241672011609206119305688382386003349463821800669840193534080976493177817658051969853 (pp97)
Version: Msieve-1.40
Total time: 35.87 hours.
Scaled time: 70.63 units (timescale=1.969).
Factorization parameters were as follows:
n: 153088038088034096157001970221120987933883663939114119642482678395051038328302152383414726614146712377692394760712789258923157338234959724393601897544037
m: 1000000000000000000000000000000000
deg: 5
c5: 73
c0: 17
skew: 0.75
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 767231 x 767458
Total sieving time: 34.92 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.79 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 35.87 hours.
 --------- CPU info (if available) ----------

3024150188456279241271635061034207734381899170085908416013327022314950137416763484883262683133619026210629921420633043119<121>

3119832737142393762568317646283532739<37>
969330872278186678696395354067098500504444132609173864255769924135429146432135840421<84>

Number: 81113_166
N=3024150188456279241271635061034207734381899170085908416013327022314950137416763484883262683133619026210629921420633043119
  ( 121 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=3119832737142393762568317646283532739 (pp37)
 r2=969330872278186678696395354067098500504444132609173864255769924135429146432135840421 (pp84)
Version: Msieve-1.40
Total time: 65.82 hours.
Scaled time: 134.41 units (timescale=2.042).
Factorization parameters were as follows:
name: 81113_166
n: 3024150188456279241271635061034207734381899170085908416013327022314950137416763484883262683133619026210629921420633043119
m: 1000000000000000000000000000000000
deg: 5
c5: 730
c0: 17
skew: 0.47
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 4700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 814740 x 814988
Total sieving time: 63.83 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.63 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,167.000,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 65.82 hours.
 --------- CPU info (if available) ----------

Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

4867261416808232131783777853617711629321499978034982673339452707750837572513002320472214448438979219293389003042504442454507952811452509294587409480580736749213<160>

3439776758217888897629448787074126593987149<43>
1414993401877018200172352797728814469086735233686438423354853617144486297978320348216628267020769352595282474714920337<118>

N=4867261416808232131783777853617711629321499978034982673339452707750837572513002320472214448438979219293389003042504442454507952811452509294587409480580736749213
  ( 160 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=3439776758217888897629448787074126593987149 (pp43)
 r2=1414993401877018200172352797728814469086735233686438423354853617144486297978320348216628267020769352595282474714920337 (pp118)
Version: Msieve-1.40
Total time: 57.13 hours.
Scaled time: 113.24 units (timescale=1.982).
Factorization parameters were as follows:
n: 4867261416808232131783777853617711629321499978034982673339452707750837572513002320472214448438979219293389003042504442454507952811452509294587409480580736749213
m: 1000000000000000000000000000000000
deg: 5
c5: 7300
c0: 17
skew: 0.30
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2300000, 5400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 930944 x 931177
Total sieving time: 55.62 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.15 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,168.000,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 57.13 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

2765748665431551509227371061176087261264742766430630855904494531016166369253967712725853688106901868964132407375834934057732161868282166983022849630412626968701575719<166>

1330094351305260090208062966469<31>

2079362763038157617592239521174238308431780429919746078474321209082095772011937071650706278099292890193906462172879316512661865295968251<136>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2723533026
Step 1 took 24539ms
Step 2 took 17488ms
********** Factor found in step 2: 1330094351305260090208062966469
Found probable prime factor of 31 digits: 1330094351305260090208062966469
Composite cofactor 2079362763038157617592239521174238308431780429919746078474321209082095772011937071650706278099292890193906462172879316512661865295968251 has 136 digits

GMP-ECM 6.2.1

2079362763038157617592239521174238308431780429919746078474321209082095772011937071650706278099292890193906462172879316512661865295968251<136>

86589548767678301920095178920173140293590664143766899<53>
24014015462964641006101979381468584987860523816709512091069945694950524391182229849<83>

Number: 81113_169
N=2079362763038157617592239521174238308431780429919746078474321209082095772011937071650706278099292890193906462172879316512661865295968251
  ( 136 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=86589548767678301920095178920173140293590664143766899 (pp53)
 r2=24014015462964641006101979381468584987860523816709512091069945694950524391182229849 (pp83)
Version: Msieve-1.40
Total time: 120.90 hours.
Scaled time: 271.90 units (timescale=2.249).
Factorization parameters were as follows:
name: 81113_169
n: 2079362763038157617592239521174238308431780429919746078474321209082095772011937071650706278099292890193906462172879316512661865295968251
m: 1000000000000000000000000000000000
deg: 5
c5: 730000
c0: 17
skew: 0.12
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2450000, 7150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1047277 x 1047525
Total sieving time: 117.69 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.70 hours.
Time per square root: 0.35 hours.
Prototype def-par.txt line would be:
snfs,170.000,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 120.90 hours.
 --------- CPU info (if available) ----------

Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

690857681808513956749775921823427595459461091352757758158843256215338148000475816398957819814036152209435763786977<114>

32288341708228407273793902340875362758719100326514551179<56>
21396505526713215966740015760960373660258547903790312071363<59>

Number: 81113_170
N=690857681808513956749775921823427595459461091352757758158843256215338148000475816398957819814036152209435763786977
  ( 114 digits)
Divisors found:
 r1=32288341708228407273793902340875362758719100326514551179 (pp56)
 r2=21396505526713215966740015760960373660258547903790312071363 (pp59)
Version: Msieve-1.40
Total time: 30.93 hours.
Scaled time: 62.55 units (timescale=2.022).
Factorization parameters were as follows:
name: 81113_170
n: 690857681808513956749775921823427595459461091352757758158843256215338148000475816398957819814036152209435763786977
skew: 27982.93
# norm 3.85e+15
c5: 106320
c4: -4587132124
c3: -206906178969328
c2: 2600186457904430261
c1: 48261631737686827278642
c0: -565292278256359298249105685
# alpha -5.90
Y1: 617207691707
Y0: -5788354542105840561382
# Murphy_E 6.26e-10
# M 216596630135276430779810933505017905242167333187058865617413950417253693287171273926576360705034377632966915197322
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 472448 x 472696
Polynomial selection time: 2.33 hours.
Total sieving time: 27.16 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.56 hours.
Time per square root: 0.78 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 30.93 hours.
 --------- CPU info (if available) ----------

Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

335569658704351472809328325009239399434889994509483913393804198762881905990880628402725578236897647437592236931177965647913292709100078055579995004434771783<156>

361456449595719521598497215890078375583437627017<48>
928381992020555142072408718077651230183501146786349488596419105344672793697005911714491020309278632109976399<108>

Number: n
N=335569658704351472809328325009239399434889994509483913393804198762881905990880628402725578236897647437592236931177965647913292709100078055579995004434771783
  ( 156 digits)
SNFS difficulty: 174 digits.
Divisors found:

Fri Jun 11 19:51:35 2010  prp48 factor: 361456449595719521598497215890078375583437627017
Fri Jun 11 19:51:35 2010  prp108 factor: 928381992020555142072408718077651230183501146786349488596419105344672793697005911714491020309278632109976399
Fri Jun 11 19:51:35 2010  elapsed time 02:36:02 (Msieve 1.42 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=0.880).
Factorization parameters were as follows:
name: KA_8_1_172_3
n: 335569658704351472809328325009239399434889994509483913393804198762881905990880628402725578236897647437592236931177965647913292709100078055579995004434771783
m: 10000000000000000000000000000000000
deg: 5
c5: 73000
c0: 17
skew: 0.19
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 9850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1646373 hash collisions in 12211603 relations
Msieve: matrix is 1023768 x 1023993 (290.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2034148k/2097088k available (3972k kernel code, 388k absent, 62552k reserved, 2498k data, 1292k init)
VBoxDrv: dbg - g_abExecMemory=ffffffffa02c4440
Calibrating delay loop (skipped), value calculated using timer frequency.. 6026.43 BogoMIPS (lpj=3013215)
Calibrating delay using timer specific routine.. 6026.96 BogoMIPS (lpj=3013483)
Total of 2 processors activated (12053.39 BogoMIPS).

443956859468547149026576134502855731873752282022518620117200286988675046340452303210351720879259037491520219799952858738448843861037027978097060099697703277444732133<165>

2832134893919953420398940968668409930973<40>

156756961125558240303695523167067845311460753426474729598835102397519522576115495864184916221028843420344829824986192625322921<126>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1014677060
Step 1 took 59614ms
Step 2 took 23669ms
********** Factor found in step 2: 2832134893919953420398940968668409930973
Found probable prime factor of 40 digits: 2832134893919953420398940968668409930973
Composite cofactor 156756961125558240303695523167067845311460753426474729598835102397519522576115495864184916221028843420344829824986192625322921 has 126 digits

156756961125558240303695523167067845311460753426474729598835102397519522576115495864184916221028843420344829824986192625322921<126>

454909691861530081795058708835247<33>

344589187546422899509373118110286634826954762037790288137943565676865708880704412089023355943<93>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1854857797
Step 1 took 7615ms
Step 2 took 3766ms
********** Factor found in step 2: 454909691861530081795058708835247
Found probable prime factor of 33 digits: 454909691861530081795058708835247
Composite cofactor 344589187546422899509373118110286634826954762037790288137943565676865708880704412089023355943 has 93 digits

344589187546422899509373118110286634826954762037790288137943565676865708880704412089023355943<93>

772529612971576764537884961522957594954320291<45>
446053046718742638393660826401360781032252281773<48>

Divisors found:
 r1=772529612971576764537884961522957594954320291 (pp45)
 r2=446053046718742638393660826401360781032252281773 (pp48)
Version: Msieve v. 1.49 SVN548 option -D density
Total time: 0.84 hours.
Scaled time: 2.02 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  344589187546422899509373118110286634826954762037790288137943565676865708880704412089023355943
skew:  2896345.95
Y0:  -37843765830292964386797
Y1:   569718139603
c0:  -33209851506142660988581276
c1:  -5322862321823685855722
c2:  -936048781845308
c3:   384900803
c4:   168
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [625000, 825001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 105242 x 105468
Total sieving time: 0.79 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,92,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1000000,1000000,25,25,44,44,2.4,2.4,40000
total time: 0.84 hours.

1336715391877712780408303800725822172165876722946057370071805570820422026503650286418897824539339374190619475018956931487628782476013156061333107718016959850351<160>

6643608873118348625302750550925102547<37>
201203204072772430623457986754166997865029425614034736249378560025888361600424330814329345726167240939132307874639532642933<123>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3283953112
Step 1 took 36398ms
Step 2 took 14801ms
********** Factor found in step 2: 6643608873118348625302750550925102547
Found probable prime factor of 37 digits: 6643608873118348625302750550925102547
Probable prime cofactor 201203204072772430623457986754166997865029425614034736249378560025888361600424330814329345726167240939132307874639532642933 has 123 digits

4755214742353580608928783258662921830376591010909278401592568038920994327975097252639521776146429064662305000312936158895661753749090218855594710335038457<154>

1719300204425639137842696546391787168681<40>
2765785015387780562097158420006256103304991027520925865713159815064009405364498282390942101669986064042271903084497<115>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:973891777
Step 1 took 31500ms
Step 2 took 17672ms
********** Factor found in step 2: 1719300204425639137842696546391787168681
Found probable prime factor of 40 digits: 1719300204425639137842696546391787168681
Probable prime cofactor 2765785015387780562097158420006256103304991027520925865713159815064009405364498282390942101669986064042271903084497 has 115 digits

GMP-ECM 7.0

206911510555508903501748442472229659899301216956329905537974548227724390612766511712419228535289193820042458770090418877163450020282446859257684976322702469138467<162>

897438737598755074932120607876374287273<39>
230557810674781742004283267268618637679813737129076802471120810864731565421188933038943827456001086506898351261052572294379<123>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3215948759
Step 1 took 29423ms
Step 2 took 9784ms
********** Factor found in step 2: 897438737598755074932120607876374287273
Found probable prime factor of 39 digits: 897438737598755074932120607876374287273
Probable prime cofactor 230557810674781742004283267268618637679813737129076802471120810864731565421188933038943827456001086506898351261052572294379 has 123 digits

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

Core-i5, 3.4 GHz, OpenSUSE

2211149324495286186287758259766037832354204409640784923194492254118294442234061041610716311300590821185365018016746567660461327543945923923898152268974164229689<160>

133927500566734997427726286573526796701<39>

16510046966742937492740918779241374516094430134115794009069305490538243995998165373455126696971951478092312695526443213389<122>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2285091133
Step 1 took 30197ms
Step 2 took 9808ms
********** Factor found in step 2: 133927500566734997427726286573526796701
Found probable prime factor of 39 digits: 133927500566734997427726286573526796701
Composite cofactor 16510046966742937492740918779241374516094430134115794009069305490538243995998165373455126696971951478092312695526443213389 has 122 digits

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

Core-i5, 3.4 GHz, OpenSUSE

16510046966742937492740918779241374516094430134115794009069305490538243995998165373455126696971951478092312695526443213389<122>

147598487819183268138585724027037868626559106442401350929<57>
111857832764307892139678960234400799936463056997860383399602575741<66>

Number: 81113_184
N = 16510046966742937492740918779241374516094430134115794009069305490538243995998165373455126696971951478092312695526443213389 (122 digits)
Divisors found:
r1=147598487819183268138585724027037868626559106442401350929 (pp57)
r2=111857832764307892139678960234400799936463056997860383399602575741 (pp66)
Version: Msieve v. 1.51 (SVN 845)
Total time: 23.15 hours.
Factorization parameters were as follows:
# Murphy_E = 2.331e-10, selected by Erik Branger
n: 16510046966742937492740918779241374516094430134115794009069305490538243995998165373455126696971951478092312695526443213389
Y0: -215286111291764409078867
Y1: 178843939199
c0: 2119243326443707185009137592820
c1: 67141762070032023744192663
c2: 131175829378532084956
c3: -5946229956778938
c4: 2643918454
c5: 35700
skew: 185535.24
type: gnfs
# selected mechanically
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10381333
Relations: 1212410 relations
Pruned matrix : 718776 x 719005
Polynomial selection time: 0.00 hours.
Total sieving time: 22.59 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.38 hours.
time per square root: 0.13 hours.
Prototype def-par.txt line would be: gnfs,121,5,65,2000,1e-05,0.28,250,20,50000,3600,5700000,5700000,27,27,52,52,2.5,2.5,100000
total time: 23.15 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

4179183525822596101283051183551702126005833839363209748781014045355205897169271259954547128957213629359758612198915154903989223104285245353942511<145>

3042236233985115021907113705702195944035948522621168786036282274759843<70>
1373720909354945217224225389319546311196294750584449244076705921077986462277<76>

N=4179183525822596101283051183551702126005833839363209748781014045355205897169271259954547128957213629359758612198915154903989223104285245353942511
  ( 145 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=3042236233985115021907113705702195944035948522621168786036282274759843 (pp70)
 r2=1373720909354945217224225389319546311196294750584449244076705921077986462277 (pp76)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 180.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 4179183525822596101283051183551702126005833839363209748781014045355205897169271259954547128957213629359758612198915154903989223104285245353942511
m: 10000000000000000000000000000000000000
deg: 5
c5: 73
c0: 17
skew: 0.75
# Murphy_E = 5.472e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4550000, 12950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1906280 x 1906511
Total sieving time: 175.90 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 3.65 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time: 180.01 hours.
 --------- CPU info (if available) ----------

1136230841545204669276713352901208728833814512167742098329773601573265586934643069190116930465216047382700852235396139419481057625305791306633372369853639367095118309<166>

482060788048399778688695820960600692378006437594439750853973<60>
2357028137769058762451473371365573351211269953693340755663900329262998318999312674415127510049000115876433<106>

Fri Mar 10 17:20:00 2017  Msieve v. 1.53 (SVN Unversioned directory)
Fri Mar 10 17:20:00 2017  random seeds: a3f42fe5 492b7348
Fri Mar 10 17:20:00 2017  factoring 1136230841545204669276713352901208728833814512167742098329773601573265586934643069190116930465216047382700852235396139419481057625305791306633372369853639367095118309 (166 digits)
Fri Mar 10 17:20:01 2017  no P-1/P+1/ECM available, skipping
Fri Mar 10 17:20:01 2017  commencing number field sieve (166-digit input)
Fri Mar 10 17:20:01 2017  R0: -10000000000000000000000000000000000000
Fri Mar 10 17:20:01 2017  R1: 1
Fri Mar 10 17:20:01 2017  A0: 17
Fri Mar 10 17:20:01 2017  A1: 0
Fri Mar 10 17:20:01 2017  A2: 0
Fri Mar 10 17:20:01 2017  A3: 0
Fri Mar 10 17:20:01 2017  A4: 0
Fri Mar 10 17:20:01 2017  A5: 730
Fri Mar 10 17:20:01 2017  skew 0.47, size 3.076e-13, alpha 0.512, combined = 4.084e-11 rroots = 1
Fri Mar 10 17:20:01 2017  
Fri Mar 10 17:20:01 2017  commencing relation filtering
Fri Mar 10 17:20:01 2017  estimated available RAM is 15929.4 MB
Fri Mar 10 17:20:01 2017  commencing duplicate removal, pass 1
Fri Mar 10 17:22:36 2017  skipped 1 relations with composite factors
Fri Mar 10 17:22:36 2017  found 3240652 hash collisions in 22074485 relations
Fri Mar 10 17:22:54 2017  added 345 free relations
Fri Mar 10 17:22:54 2017  commencing duplicate removal, pass 2
Fri Mar 10 17:23:00 2017  found 2920708 duplicates and 19154122 unique relations
Fri Mar 10 17:23:00 2017  memory use: 98.6 MB
Fri Mar 10 17:23:00 2017  reading ideals above 720000
Fri Mar 10 17:23:00 2017  commencing singleton removal, initial pass
Fri Mar 10 17:24:56 2017  memory use: 689.0 MB
Fri Mar 10 17:24:56 2017  reading all ideals from disk
Fri Mar 10 17:24:56 2017  memory use: 610.2 MB
Fri Mar 10 17:24:57 2017  keeping 21354945 ideals with weight <= 200, target excess is 115833
Fri Mar 10 17:24:58 2017  commencing in-memory singleton removal
Fri Mar 10 17:24:59 2017  begin with 19154122 relations and 21354945 unique ideals
Fri Mar 10 17:25:07 2017  reduce to 7670905 relations and 7504151 ideals in 19 passes
Fri Mar 10 17:25:07 2017  max relations containing the same ideal: 105
Fri Mar 10 17:25:09 2017  removing 274576 relations and 258382 ideals in 16194 cliques
Fri Mar 10 17:25:09 2017  commencing in-memory singleton removal
Fri Mar 10 17:25:10 2017  begin with 7396329 relations and 7504151 unique ideals
Fri Mar 10 17:25:12 2017  reduce to 7387596 relations and 7237008 ideals in 8 passes
Fri Mar 10 17:25:12 2017  max relations containing the same ideal: 104
Fri Mar 10 17:25:14 2017  removing 197137 relations and 180943 ideals in 16194 cliques
Fri Mar 10 17:25:14 2017  commencing in-memory singleton removal
Fri Mar 10 17:25:15 2017  begin with 7190459 relations and 7237008 unique ideals
Fri Mar 10 17:25:18 2017  reduce to 7185858 relations and 7051453 ideals in 8 passes
Fri Mar 10 17:25:18 2017  max relations containing the same ideal: 102
Fri Mar 10 17:25:19 2017  relations with 0 large ideals: 2833
Fri Mar 10 17:25:19 2017  relations with 1 large ideals: 831
Fri Mar 10 17:25:19 2017  relations with 2 large ideals: 16037
Fri Mar 10 17:25:19 2017  relations with 3 large ideals: 129278
Fri Mar 10 17:25:19 2017  relations with 4 large ideals: 552227
Fri Mar 10 17:25:19 2017  relations with 5 large ideals: 1378267
Fri Mar 10 17:25:19 2017  relations with 6 large ideals: 2122505
Fri Mar 10 17:25:19 2017  relations with 7+ large ideals: 2983880
Fri Mar 10 17:25:19 2017  commencing 2-way merge
Fri Mar 10 17:25:22 2017  reduce to 4164132 relation sets and 4029728 unique ideals
Fri Mar 10 17:25:22 2017  ignored 1 oversize relation sets
Fri Mar 10 17:25:22 2017  commencing full merge
Fri Mar 10 17:26:06 2017  memory use: 484.1 MB
Fri Mar 10 17:26:06 2017  found 2120002 cycles, need 2109928
Fri Mar 10 17:26:06 2017  weight of 2109928 cycles is about 147723655 (70.01/cycle)
Fri Mar 10 17:26:06 2017  distribution of cycle lengths:
Fri Mar 10 17:26:06 2017  1 relations: 317694
Fri Mar 10 17:26:06 2017  2 relations: 275763
Fri Mar 10 17:26:06 2017  3 relations: 255866
Fri Mar 10 17:26:06 2017  4 relations: 220174
Fri Mar 10 17:26:06 2017  5 relations: 186723
Fri Mar 10 17:26:06 2017  6 relations: 154426
Fri Mar 10 17:26:06 2017  7 relations: 129748
Fri Mar 10 17:26:06 2017  8 relations: 105549
Fri Mar 10 17:26:06 2017  9 relations: 85628
Fri Mar 10 17:26:06 2017  10+ relations: 378357
Fri Mar 10 17:26:06 2017  heaviest cycle: 28 relations
Fri Mar 10 17:26:07 2017  commencing cycle optimization
Fri Mar 10 17:26:09 2017  start with 12193686 relations
Fri Mar 10 17:26:20 2017  pruned 257662 relations
Fri Mar 10 17:26:20 2017  memory use: 411.8 MB
Fri Mar 10 17:26:20 2017  distribution of cycle lengths:
Fri Mar 10 17:26:20 2017  1 relations: 317694
Fri Mar 10 17:26:20 2017  2 relations: 281520
Fri Mar 10 17:26:20 2017  3 relations: 264060
Fri Mar 10 17:26:20 2017  4 relations: 224155
Fri Mar 10 17:26:20 2017  5 relations: 189291
Fri Mar 10 17:26:20 2017  6 relations: 155434
Fri Mar 10 17:26:20 2017  7 relations: 129529
Fri Mar 10 17:26:20 2017  8 relations: 104278
Fri Mar 10 17:26:20 2017  9 relations: 83851
Fri Mar 10 17:26:20 2017  10+ relations: 360116
Fri Mar 10 17:26:20 2017  heaviest cycle: 28 relations
Fri Mar 10 17:26:22 2017  RelProcTime: 381
Fri Mar 10 17:26:22 2017  elapsed time 00:06:22
Fri Mar 10 17:26:22 2017 LatSieveTime: 1133.83
Fri Mar 10 17:26:22 2017 -> Running matrix solving step ...
Fri Mar 10 17:26:22 2017 -> ./msieve -s 81113_186/81113_186.dat -l 81113_186/81113_186.log -i 81113_186/81113_186.ini -nf 81113_186/81113_186.fb -t 6 -nc2
Fri Mar 10 17:26:22 2017  
Fri Mar 10 17:26:22 2017  
Fri Mar 10 17:26:22 2017  Msieve v. 1.53 (SVN Unversioned directory)
Fri Mar 10 17:26:22 2017  random seeds: 2416893b 7fee27e8
Fri Mar 10 17:26:22 2017  factoring 1136230841545204669276713352901208728833814512167742098329773601573265586934643069190116930465216047382700852235396139419481057625305791306633372369853639367095118309 (166 digits)
Fri Mar 10 17:26:23 2017  no P-1/P+1/ECM available, skipping
Fri Mar 10 17:26:23 2017  commencing number field sieve (166-digit input)
Fri Mar 10 17:26:23 2017  R0: -10000000000000000000000000000000000000
Fri Mar 10 17:26:23 2017  R1: 1
Fri Mar 10 17:26:23 2017  A0: 17
Fri Mar 10 17:26:23 2017  A1: 0
Fri Mar 10 17:26:23 2017  A2: 0
Fri Mar 10 17:26:23 2017  A3: 0
Fri Mar 10 17:26:23 2017  A4: 0
Fri Mar 10 17:26:23 2017  A5: 730
Fri Mar 10 17:26:23 2017  skew 0.47, size 3.076e-13, alpha 0.512, combined = 4.084e-11 rroots = 1
Fri Mar 10 17:26:23 2017  
Fri Mar 10 17:26:23 2017  commencing linear algebra
Fri Mar 10 17:26:23 2017  read 2109928 cycles
Fri Mar 10 17:26:26 2017  cycles contain 7004436 unique relations
Fri Mar 10 17:26:58 2017  read 7004436 relations
Fri Mar 10 17:27:03 2017  using 20 quadratic characters above 4294917295
Fri Mar 10 17:27:29 2017  building initial matrix
Fri Mar 10 17:28:10 2017  memory use: 863.8 MB
Fri Mar 10 17:28:10 2017  read 2109928 cycles
Fri Mar 10 17:28:11 2017  matrix is 2109749 x 2109928 (633.1 MB) with weight 189395847 (89.76/col)
Fri Mar 10 17:28:11 2017  sparse part has weight 142762885 (67.66/col)
Fri Mar 10 17:28:22 2017  filtering completed in 2 passes
Fri Mar 10 17:28:23 2017  matrix is 2106917 x 2107096 (632.9 MB) with weight 189290678 (89.83/col)
Fri Mar 10 17:28:23 2017  sparse part has weight 142725764 (67.74/col)
Fri Mar 10 17:28:27 2017  matrix starts at (0, 0)
Fri Mar 10 17:28:27 2017  matrix is 2106917 x 2107096 (632.9 MB) with weight 189290678 (89.83/col)
Fri Mar 10 17:28:27 2017  sparse part has weight 142725764 (67.74/col)
Fri Mar 10 17:28:27 2017  saving the first 48 matrix rows for later
Fri Mar 10 17:28:28 2017  matrix includes 64 packed rows
Fri Mar 10 17:28:28 2017  matrix is 2106869 x 2107096 (603.3 MB) with weight 150755028 (71.55/col)
Fri Mar 10 17:28:28 2017  sparse part has weight 137086135 (65.06/col)
Fri Mar 10 17:28:28 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Fri Mar 10 17:28:33 2017  commencing Lanczos iteration (6 threads)
Fri Mar 10 17:28:33 2017  memory use: 485.0 MB
Fri Mar 10 17:28:38 2017  linear algebra at 0.1%, ETA 1h55m
Fri Mar 10 17:28:39 2017  checkpointing every 1220000 dimensions
Fri Mar 10 19:18:21 2017  lanczos halted after 33323 iterations (dim = 2106867)
Fri Mar 10 19:18:23 2017  recovered 36 nontrivial dependencies
Fri Mar 10 19:18:23 2017  BLanczosTime: 6720
Fri Mar 10 19:18:23 2017  elapsed time 01:52:01
Fri Mar 10 19:18:23 2017 -> Running square root step ...
Fri Mar 10 19:18:23 2017 -> ./msieve -s 81113_186/81113_186.dat -l 81113_186/81113_186.log -i 81113_186/81113_186.ini -nf 81113_186/81113_186.fb -t 6 -nc3
Fri Mar 10 19:18:23 2017  
Fri Mar 10 19:18:23 2017  
Fri Mar 10 19:18:23 2017  Msieve v. 1.53 (SVN Unversioned directory)
Fri Mar 10 19:18:23 2017  random seeds: 018ea2c8 a8f222c8
Fri Mar 10 19:18:23 2017  factoring 1136230841545204669276713352901208728833814512167742098329773601573265586934643069190116930465216047382700852235396139419481057625305791306633372369853639367095118309 (166 digits)
Fri Mar 10 19:18:24 2017  no P-1/P+1/ECM available, skipping
Fri Mar 10 19:18:24 2017  commencing number field sieve (166-digit input)
Fri Mar 10 19:18:24 2017  R0: -10000000000000000000000000000000000000
Fri Mar 10 19:18:24 2017  R1: 1
Fri Mar 10 19:18:24 2017  A0: 17
Fri Mar 10 19:18:24 2017  A1: 0
Fri Mar 10 19:18:24 2017  A2: 0
Fri Mar 10 19:18:24 2017  A3: 0
Fri Mar 10 19:18:24 2017  A4: 0
Fri Mar 10 19:18:24 2017  A5: 730
Fri Mar 10 19:18:24 2017  skew 0.47, size 3.076e-13, alpha 0.512, combined = 4.084e-11 rroots = 1
Fri Mar 10 19:18:24 2017  
Fri Mar 10 19:18:24 2017  commencing square root phase
Fri Mar 10 19:18:24 2017  reading relations for dependency 1
Fri Mar 10 19:18:24 2017  read 1053159 cycles
Fri Mar 10 19:18:25 2017  cycles contain 3502368 unique relations
Fri Mar 10 19:18:42 2017  read 3502368 relations
Fri Mar 10 19:18:51 2017  multiplying 3502368 relations
Fri Mar 10 19:20:32 2017  multiply complete, coefficients have about 110.41 million bits
Fri Mar 10 19:20:32 2017  initial square root is modulo 84173701
Fri Mar 10 19:22:35 2017  GCD is N, no factor found
Fri Mar 10 19:22:35 2017  reading relations for dependency 2
Fri Mar 10 19:22:35 2017  read 1054375 cycles
Fri Mar 10 19:22:37 2017  cycles contain 3502118 unique relations
Fri Mar 10 19:22:53 2017  read 3502118 relations
Fri Mar 10 19:23:03 2017  multiplying 3502118 relations
Fri Mar 10 19:24:44 2017  multiply complete, coefficients have about 110.40 million bits
Fri Mar 10 19:24:45 2017  initial square root is modulo 84023651
Fri Mar 10 19:26:49 2017  GCD is 1, no factor found
Fri Mar 10 19:26:49 2017  reading relations for dependency 3
Fri Mar 10 19:26:49 2017  read 1053443 cycles
Fri Mar 10 19:26:51 2017  cycles contain 3501360 unique relations
Fri Mar 10 19:27:08 2017  read 3501360 relations
Fri Mar 10 19:27:17 2017  multiplying 3501360 relations
Fri Mar 10 19:29:02 2017  multiply complete, coefficients have about 110.38 million bits
Fri Mar 10 19:29:02 2017  initial square root is modulo 83716691
Fri Mar 10 19:31:08 2017  GCD is 1, no factor found
Fri Mar 10 19:31:08 2017  reading relations for dependency 4
Fri Mar 10 19:31:08 2017  read 1054116 cycles
Fri Mar 10 19:31:10 2017  cycles contain 3502198 unique relations
Fri Mar 10 19:31:27 2017  read 3502198 relations
Fri Mar 10 19:31:36 2017  multiplying 3502198 relations
Fri Mar 10 19:33:19 2017  multiply complete, coefficients have about 110.41 million bits
Fri Mar 10 19:33:19 2017  initial square root is modulo 84113101
Fri Mar 10 19:35:25 2017  GCD is 1, no factor found
Fri Mar 10 19:35:25 2017  reading relations for dependency 5
Fri Mar 10 19:35:25 2017  read 1054065 cycles
Fri Mar 10 19:35:26 2017  cycles contain 3506826 unique relations
Fri Mar 10 19:35:44 2017  read 3506826 relations
Fri Mar 10 19:35:53 2017  multiplying 3506826 relations
Fri Mar 10 19:37:35 2017  multiply complete, coefficients have about 110.55 million bits
Fri Mar 10 19:37:35 2017  initial square root is modulo 86162221
Fri Mar 10 19:39:45 2017  sqrtTime: 1281
Fri Mar 10 19:39:45 2017  p60 factor: 482060788048399778688695820960600692378006437594439750853973
Fri Mar 10 19:39:45 2017  p106 factor: 2357028137769058762451473371365573351211269953693340755663900329262998318999312674415127510049000115876433
Fri Mar 10 19:39:45 2017  elapsed time 00:21:22

Msieve 1.53 snfs

64-bit Ubuntu 16.04.1 LTS, Core i7-2600K 3.4GHz

7276167762250025405178494595941155935483391277190829533017542878782649437101035860278837999378479063195067079619343755825554995409<130>

69534843685589911747338900358645708715973964371387775528185077137<65>
104640599972440948847531173781952089376807825698039098066896897857<66>

Number: 81113_187
N = 7276167762250025405178494595941155935483391277190829533017542878782649437101035860278837999378479063195067079619343755825554995409 (130 digits)
Divisors found:
r1=69534843685589911747338900358645708715973964371387775528185077137 (pp65)
r2=104640599972440948847531173781952089376807825698039098066896897857 (pp66)
Version: Msieve v. 1.47
Total time: 154.62 hours.
Factorization parameters were as follows:
# Murphy_E = 7.950306e-11, selected by suberi
n: 7276167762250025405178494595941155935483391277190829533017542878782649437101035860278837999378479063195067079619343755825554995409
Y0: -17741079376909405407553263
Y1: 140872164845083
c0: 277885137491291836107339819727520
c1: -7593161272298477022862834992
c2: -1599690996436874143930
c3: 26909589607295061
c4: 2602043144
c5: 4140
skew: 825586.33
type: gnfs
# selected mechanically
rlim: 9700000
alim: 9700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9700000/9700000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [4850000, 10050000)
Relations: 17743101
Relations in full relation-set: 2390832 relations
Pruned matrix : 1414173 x 1414398
Polynomial selection time: 0.00 hours.
Total sieving time: 152.14 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.89 hours.
time per square root: 0.44 hours.
Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,9700000,9700000,28,28,53,53,2.5,2.5,100000
total time: 154.62 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

17616933342271151734214900122763238003835515288265554486979950812508531392128757561263205457154485077322011543247004833548348004775752740249426189331658653170145797426614425846923633<182>

291873822104876412774012750314682913675954040389<48>
60358045182760571358794865090903767170285814968614752749960402067627032092632877173918787675792571595791542631833635269047241318203197<134>

Number: 9
N=17616933342271151734214900122763238003835515288265554486979950812508531392128757561263205457154485077322011543247004833548348004775752740249426189331658653170145797426614425846923633
  ( 182 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=291873822104876412774012750314682913675954040389 (pp48)
 r2=60358045182760571358794865090903767170285814968614752749960402067627032092632877173918787675792571595791542631833635269047241318203197 (pp134)
Version: Msieve-1.40
Total time: 323.42 hours.
Scaled time: 561.13 units (timescale=1.735).
Factorization parameters were as follows:
n: 17616933342271151734214900122763238003835515288265554486979950812508531392128757561263205457154485077322011543247004833548348004775752740249426189331658653170145797426614425846923633
m: 10000000000000000000000000000000000000
deg: 5
c5: 73000
c0: 17
skew: 0.19
type: snfs
lss: 1
rlim: 10200000
alim: 10200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10200000/10200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5100000, 10200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2025822 x 2026047
Total sieving time: 311.61 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 6.50 hours.
Time per square root: 5.02 hours.
Prototype def-par.txt line would be:
snfs,189.000,5,0,0,0,0,0,0,0,0,10200000,10200000,28,28,54,54,2.5,2.5,100000
total time: 323.42 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

107764099781153083380746624025133176411457909271343189105487883158049700333674411294252291561477169785464015881505639111853920784244474397<138>

16631500918311711698908948993<29>

6479517411594646192849901458680590380824082871452906705063926284288166533386912469525170650162589890902835229<109>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2329747755
Step 1 took 5972ms
Step 2 took 3496ms
********** Factor found in step 2: 16631500918311711698908948993
Found probable prime factor of 29 digits: 16631500918311711698908948993
Composite cofactor has 109 digits

6479517411594646192849901458680590380824082871452906705063926284288166533386912469525170650162589890902835229<109>

1620231549734022282241086920227676593<37>
3999130502463259524180438622699601921910633996860028333629599233699140653<73>

Number: a5
N=6479517411594646192849901458680590380824082871452906705063926284288166533386912469525170650162589890902835229
  ( 109 digits)
Divisors found:
 r1=1620231549734022282241086920227676593 (pp37)
 r2=3999130502463259524180438622699601921910633996860028333629599233699140653 (pp73)
Version: Msieve-1.40
Total time: 11.43 hours.
Scaled time: 22.51 units (timescale=1.969).
Factorization parameters were as follows:
name: a5
n: 6479517411594646192849901458680590380824082871452906705063926284288166533386912469525170650162589890902835229
skew: 14575.69
# norm 3.42e+014
c5: 44100
c4: -915627520
c3: -17992311866807
c2: 411670286583854631
c1: 1764704582044244282012
c0: -8692541481862425032567141
# alpha -5.28
Y1: 376645532791
Y0: -681430881285024577335
# Murphy_E 1.14e-009
# M 2267974184421131611354207069961279527752955162475137703233076342123579883255056979679670259969809420945824560
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 415371 x 415597
Polynomial selection time: 1.24 hours.
Total sieving time: 9.51 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.47 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 11.43 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

18277054254482726526978390159160422398165778753634400585233975222189592515232364117307891116826627943864591181667317865428482680876520186277140818797872293266443675817294037558616227<182>

1835349821808362764467197444617953779009399<43>
378675149512932558301561243944015684211447326320083<51>
26297868020457415872869939653462564173667192591254466544837806974838043344571632877327831<89>

N=18277054254482726526978390159160422398165778753634400585233975222189592515232364117307891116826627943864591181667317865428482680876520186277140818797872293266443675817294037558616227
  ( 182 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=1835349821808362764467197444617953779009399 (pp43)
 r2=378675149512932558301561243944015684211447326320083 (pp51)
 r3=26297868020457415872869939653462564173667192591254466544837806974838043344571632877327831 (pp89)
Version: Msieve v. 1.48
Total time:
Scaled time: 55.33 units (timescale=1.131).
Factorization parameters were as follows:
n: 18277054254482726526978390159160422398165778753634400585233975222189592515232364117307891116826627943864591181667317865428482680876520186277140818797872293266443675817294037558616227
m: 100000000000000000000000000000000000000
deg: 5
c5: 730
c0: 17
skew: 0.47
type: snfs
lss: 1
rlim: 11500000
alim: 11500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 1000000
Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5750000, 22750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2338699 x 2338928
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,192.000,5,0,0,0,0,0,0,0,0,11500000,11500000,28,28,55,55,2.5,2.5,100000
total time:

23967158238784390723657822265691218498938239506553593170914293372957397238375277400809248434557471875157807348842354626311133121503350223223338635040225694397605938042086864560159739<182>

27572053908016643788911225098085595518720302352602340848150106082569558750870679<80>
869255454045658868634573655817151916581289575596547307696815056529915244033371682400008220304471086141<102>

p80 factor: 27572053908016643788911225098085595518720302352602340848150106082569558750870679
p102 factor: 869255454045658868634573655817151916581289575596547307696815056529915244033371682400008220304471086141


Msieve v. 1.54 (SVN 1034)
random seeds: 681820cd db803aca
factoring 23967158238784390723657822265691218498938239506553593170914293372957397238375277400809248434557471875157807348842354626311133121503350223223338635040225694397605938042086864560159739 (182 digits)
searching for 15-digit factors
commencing number field sieve (182-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 17
A1: 0
A2: 0
A3: 0
A4: 0
A5: 7300
skew 1.00, size 8.714e-14, alpha 0.612, combined = 1.852e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 614807 hash collisions in 36718260 relations
added 728863 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37447123 unique relations
memory use: 144.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1238.5 MB
keeping 40224807 ideals with weight <= 200, target excess is 197678
commencing in-memory singleton removal
begin with 37447123 relations and 40224807 unique ideals
reduce to 14222117 relations and 13003958 ideals in 16 passes
max relations containing the same ideal: 111
removing 2131268 relations and 1731268 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 12090849 relations and 13003958 unique ideals
reduce to 11817905 relations and 10989953 ideals in 9 passes
max relations containing the same ideal: 94
removing 1721400 relations and 1321400 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10096505 relations and 10989953 unique ideals
reduce to 9878073 relations and 9442425 ideals in 8 passes
max relations containing the same ideal: 83
removing 984551 relations and 778210 ideals in 206341 cliques
commencing in-memory singleton removal
begin with 8893522 relations and 9442425 unique ideals
reduce to 8811287 relations and 8580264 ideals in 8 passes
max relations containing the same ideal: 77
relations with 0 large ideals: 4114
relations with 1 large ideals: 8125
relations with 2 large ideals: 72712
relations with 3 large ideals: 365253
relations with 4 large ideals: 1093209
relations with 5 large ideals: 2037208
relations with 6 large ideals: 2484829
relations with 7+ large ideals: 2745837
commencing 2-way merge
reduce to 5470367 relation sets and 5239344 unique ideals
commencing full merge
memory use: 622.8 MB
found 2562899 cycles, need 2539544
weight of 2539544 cycles is about 228920051 (90.14/cycle)
distribution of cycle lengths:
1 relations: 217540
2 relations: 220474
3 relations: 228681
4 relations: 220615
5 relations: 213756
6 relations: 196478
7 relations: 181912
8 relations: 164428
9 relations: 147470
10+ relations: 748190
heaviest cycle: 27 relations
commencing cycle optimization
start with 18646021 relations
pruned 632461 relations
memory use: 550.3 MB
distribution of cycle lengths:
1 relations: 217540
2 relations: 225831
3 relations: 237567
4 relations: 228103
5 relations: 221518
6 relations: 202451
7 relations: 187615
8 relations: 167959
9 relations: 150038
10+ relations: 700922
heaviest cycle: 27 relations
RelProcTime: 989
elapsed time 00:16:30


Msieve v. 1.54 (SVN 1034)
random seeds: 9929e81d 9eb16b38
factoring 23967158238784390723657822265691218498938239506553593170914293372957397238375277400809248434557471875157807348842354626311133121503350223223338635040225694397605938042086864560159739 (182 digits)
searching for 15-digit factors
commencing number field sieve (182-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 17
A1: 0
A2: 0
A3: 0
A4: 0
A5: 7300
skew 1.00, size 8.714e-14, alpha 0.612, combined = 1.852e-11 rroots = 1

commencing linear algebra
read 2539544 cycles
cycles contain 8633245 unique relations
read 8633245 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1042.1 MB
read 2539544 cycles
matrix is 2539367 x 2539544 (933.9 MB) with weight 271714174 (106.99/col)
sparse part has weight 216876325 (85.40/col)
filtering completed in 2 passes
matrix is 2538632 x 2538809 (933.8 MB) with weight 271687305 (107.01/col)
sparse part has weight 216865450 (85.42/col)
matrix starts at (0, 0)
matrix is 2538632 x 2538809 (933.8 MB) with weight 271687305 (107.01/col)
sparse part has weight 216865450 (85.42/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2538584 x 2538809 (889.5 MB) with weight 225453948 (88.80/col)
sparse part has weight 207800046 (81.85/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 845.6 MB
linear algebra at 0.1%, ETA 2h47m
checkpointing every 810000 dimensions
lanczos halted after 40150 iterations (dim = 2538581)
recovered 37 nontrivial dependencies
BLanczosTime: 11377
elapsed time 03:09:38


Msieve v. 1.54 (SVN 1034)
random seeds: 41b6bf44 ffabc80a
factoring 23967158238784390723657822265691218498938239506553593170914293372957397238375277400809248434557471875157807348842354626311133121503350223223338635040225694397605938042086864560159739 (182 digits)
searching for 15-digit factors
commencing number field sieve (182-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 17
A1: 0
A2: 0
A3: 0
A4: 0
A5: 7300
skew 1.00, size 8.714e-14, alpha 0.612, combined = 1.852e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1271141 cycles
cycles contain 4321286 unique relations
read 4321286 relations
multiplying 4321286 relations
multiply complete, coefficients have about 148.55 million bits
initial square root is modulo 214451
GCD is 1, no factor found
reading relations for dependency 2
read 1269839 cycles
cycles contain 4320760 unique relations
read 4320760 relations
multiplying 4320760 relations
multiply complete, coefficients have about 148.54 million bits
initial square root is modulo 214381
GCD is N, no factor found
reading relations for dependency 3
read 1268274 cycles
cycles contain 4314896 unique relations
read 4314896 relations
multiplying 4314896 relations
multiply complete, coefficients have about 148.34 million bits
initial square root is modulo 210601
sqrtTime: 881
p80 factor: 27572053908016643788911225098085595518720302352602340848150106082569558750870679
p102 factor: 869255454045658868634573655817151916581289575596547307696815056529915244033371682400008220304471086141
elapsed time 00:14:42

CADO-NFS/Msieve

12436078209055538265380016224352117622497720678191272562780223572702728992379159983371049382201756594173513663782084356901753312112564004711312920135856455631<158>

3624297661306308362256069822488535820314380543034534853<55>
3431307075526791345043924714935861277251985227578599624189800426358161563548081179789315026186599748227<103>

12436078209055538265380016224352117622497720678191272562780223572702728992379159983371049382201756594173513663782084356901753312112564004711312920135856455631=3624297661306308362256069822488535820314380543034534853*3431307075526791345043924714935861277251985227578599624189800426358161563548081179789315026186599748227

cado polynomial
n: 12436078209055538265380016224352117622497720678191272562780223572702728992379159983371049382201756594173513663782084356901753312112564004711312920135856455631
skew: 0.53
type: snfs
c0: 17
c6: 730
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 730*x^6+17
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12400000
tasks.lim1 = 12400000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3431307075526791345043924714935861277251985227578599624189800426358161563548081179789315026186599748227 3624297661306308362256069822488535820314380543034534853
Info:Square Root: Total cpu/real time for sqrt: 1003.67/303.32
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 32182806
Info:Lattice Sieving: Average J: 1894.69 for 6549062 special-q, max bucket fill -bkmult 1.0,1s:1.177330
Info:Lattice Sieving: Total time: 1.20459e+06s
Info:Square Root: Total cpu/real time for sqrt: 1003.67/303.32
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 138.58/165.975
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 164.60000000000002s
Info:Filtering - Merging: Merged matrix has 2977061 rows and total weight 508643858 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 806.81/223.866
Info:Filtering - Merging: Total cpu/real time for replay: 117.76/102.067
Info:Linear Algebra: Total cpu/real time for bwc: 159760/40912.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 102858.97, WCT time 26246.59, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (93184 iterations)
Info:Linear Algebra: Lingen CPU time 643.44, WCT time 163.44
Info:Linear Algebra: Mksol: CPU time 55143.82,  WCT time 14101.16, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (46592 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 104.75/44.6229
Info:Generate Free Relations: Total cpu/real time for freerel: 183.17/47.0838
Info:Generate Factor Base: Total cpu/real time for makefb: 8.19/3.55345
Info:Filtering - Singleton removal: Total cpu/real time for purge: 528.43/585.532
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 644.92/602.746
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 479.1s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.49661e+06/123045
Info:root: Cleaning up computation data in /tmp/cado.21bfyjnn
3431307075526791345043924714935861277251985227578599624189800426358161563548081179789315026186599748227 3624297661306308362256069822488535820314380543034534853

cado-nfs-3.0.0

6 x 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)

1857936566757853993685171059132556935342348479834167306733562339983945897127057380950833888427986888690123991220081229667953302857833023398505788434520855289829710442419269282147323<181>

112467343776500231544375010953953459863171<42>

16519787027690656314514461235332907561239318642134118214494329360193039132977636672024532778880375064245590174064283293981252848984110179113<140>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=167191962
Step 1 took 10265ms
Step 2 took 7004ms
********** Factor found in step 2: 112467343776500231544375010953953459863171
Found probable prime factor of 42 digits: 112467343776500231544375010953953459863171
Composite cofactor 16519787027690656314514461235332907561239318642134118214494329360193039132977636672024532778880375064245590174064283293981252848984110179113 has 140 digits

GMP-ECM 6.3

16519787027690656314514461235332907561239318642134118214494329360193039132977636672024532778880375064245590174064283293981252848984110179113<140>

98621661821100666967099396976057165691000901239006781122705253837<65>
167506678782775831006674578587399223998816296990270230100434438032784070349<75>

16519787027690656314514461235332907561239318642134118214494329360193039132977636672024532778880375064245590174064283293981252848984110179113=98621661821100666967099396976057165691000901239006781122705253837*167506678782775831006674578587399223998816296990270230100434438032784070349

Info:Square Root: Factors: 167506678782775831006674578587399223998816296990270230100434438032784070349 98621661821100666967099396976057165691000901239006781122705253837
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66437/40.780/50.119/54.720/0.973
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66437/40.350/44.874/50.770/1.261
Info:Polynomial Selection (size optimized): Total time: 65036.2
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 11891
Info:Polynomial Selection (root optimized): Rootsieve time: 11887.9
Info:Generate Factor Base: Total cpu/real time for makefb: 33.16/40.3294
Info:Generate Free Relations: Total cpu/real time for freerel: 1289.7/1515.2
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 33152774
Info:Lattice Sieving: Average J: 3791.59 for 893576 special-q, max bucket fill -bkmult 1.0,1s:1.113800
Info:Lattice Sieving: Total time: 2.40643e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 195.95/503.504
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 502.29999999999995s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1142.37/1146.43
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1041.1999999999998s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 688.9/847.133
Info:Filtering - Merging: Total cpu/real time for merge: 2351.48/2211.48
Info:Filtering - Merging: Total cpu/real time for replay: 206.96/185.716
Info:Linear Algebra: Total cpu/real time for bwc: 168893/46944.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 39495.63, iteration CPU time 0.54, COMM 0.02, cpu-wait 0.09, comm-wait 0.0 (61000 iterations)
Info:Linear Algebra: Lingen CPU time 818.36, WCT time 177.54
Info:Linear Algebra: Mksol: WCT time 6494.82, iteration CPU time 0.18, COMM 0.0, cpu-wait 0.02, comm-wait 0.0 (31000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 94.7/21.4471
Info:Square Root: Total cpu/real time for sqrt: 6520.12/917.499
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.84106e+06/474102
Info:root: Cleaning up computation data in /tmp/cado.mww23v__
167506678782775831006674578587399223998816296990270230100434438032784070349 98621661821100666967099396976057165691000901239006781122705253837

cado-nfs-3.0.0

Linux Ubuntu 18.04 LTS
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)

9549561279503846764599152410992563250597640811137743497366212916619430506067624555808121889225764503867182101393124656963346119770881528923014166602891868923159<160>

2033328932461953633208855889188316371<37>
4696515712261686476557443058735058401975300653752766695116425184075495862390293279092727187142559921673466647257793517200429<124>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1228386279
Step 1 took 8705ms
Step 2 took 6037ms
********** Factor found in step 2: 2033328932461953633208855889188316371
Found probable prime factor of 37 digits: 2033328932461953633208855889188316371
Probable prime cofactor 4696515712261686476557443058735058401975300653752766695116425184075495862390293279092727187142559921673466647257793517200429 has 124 digits

GMP-ECM 6.3

1335528242646829144358634150919986411054006332360800902885734239378087836980887296357880756780104208090546545319296923873801234655209047911557185385696974200313451<163>

27105137730107900592330377173904626191475099358818633541290612126894890957181<77>
49272143751675105428893938125273840256967088233371308628888748411036849196806872945671<86>

1335528242646829144358634150919986411054006332360800902885734239378087836980887296357880756780104208090546545319296923873801234655209047911557185385696974200313451=27105137730107900592330377173904626191475099358818633541290612126894890957181*49272143751675105428893938125273840256967088233371308628888748411036849196806872945671

cado polynomial
n: 1335528242646829144358634150919986411054006332360800902885734239378087836980887296357880756780104208090546545319296923873801234655209047911557185385696974200313451
skew: 0.78
type: snfs
c0: 17
c6: 73
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 73*x^6+17
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15000000
tasks.lim1 = 15000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 49272143751675105428893938125273840256967088233371308628888748411036849196806872945671 27105137730107900592330377173904626191475099358818633541290612126894890957181
Info:Square Root: Total cpu/real time for sqrt: 885.45/268.881
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 30872735
Info:Lattice Sieving: Average J: 1894.27 for 5229246 special-q, max bucket fill -bkmult 1.0,1s:1.180670
Info:Lattice Sieving: Total time: 1.19631e+06s
Info:Generate Factor Base: Total cpu/real time for makefb: 9.75/3.8005
Info:Generate Free Relations: Total cpu/real time for freerel: 182.06/47.1662
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 133.07/161.632
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 160.50000000000003s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 608.99/629.011
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 513.1999999999999s
Info:Filtering - Merging: Merged matrix has 2950157 rows and total weight 503536391 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 827.51/228.634
Info:Filtering - Merging: Total cpu/real time for replay: 115.75/99.5301
Info:Linear Algebra: Total cpu/real time for bwc: 156350/39986.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 100317.68, WCT time 25571.02, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (92672 iterations)
Info:Linear Algebra: Lingen CPU time 649.38, WCT time 164.66
Info:Linear Algebra: Mksol: CPU time 54266.85,  WCT time 13859.95, iteration CPU time 0.28, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (46592 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 101.39/44.0378
Info:Square Root: Total cpu/real time for sqrt: 885.45/268.881
Info:Filtering - Singleton removal: Total cpu/real time for purge: 491.06/571.032
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.47536e+06/141972
Info:root: Cleaning up computation data in /tmp/cado.az3_ftkw
49272143751675105428893938125273840256967088233371308628888748411036849196806872945671 27105137730107900592330377173904626191475099358818633541290612126894890957181

cado-nfs-3.0.0

6 x 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)

2080588310570842179396304476143489910429248169438551819331971545532250116356188738431002703909767450079418620923365092231339759216079926512480822248500337596829297419528971907212601638876562115679<196>

768730870156470998408320732869386559153063939521118548393900847690221478558956399<81>
2706523689034824002263957698901618407077234611230964190521755400121326385550972275337735468057602214140516992648721<115>

Number: n
N=2080588310570842179396304476143489910429248169438551819331971545532250116356188738431002703909767450079418620923365092231339759216079926512480822248500337596829297419528971907212601638876562115679
  ( 196 digits)
SNFS difficulty: 201 digits.
Divisors found:

Fri Apr 23 07:07:47 2010  prp81 factor: 768730870156470998408320732869386559153063939521118548393900847690221478558956399
Fri Apr 23 07:07:47 2010  prp115 factor: 2706523689034824002263957698901618407077234611230964190521755400121326385550972275337735468057602214140516992648721
Fri Apr 23 07:07:47 2010  elapsed time 07:31:18 (Msieve 1.42 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.724).
Factorization parameters were as follows:
name: KA_8_1_199_3
n: 2080588310570842179396304476143489910429248169438551819331971545532250116356188738431002703909767450079418620923365092231339759216079926512480822248500337596829297419528971907212601638876562115679
m: 10000000000000000000000000000000000000000
deg: 5
c5: 73
c0: 17
skew: 0.75
type: snfs
lss: 1
rlim: 16200000
alim: 16200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16200000/16200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 20400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5455783 hash collisions in 34390455 relations
Msieve: matrix is 2035242 x 2035467 (574.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16200000,16200000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

66491057953259083388285687931573589555404635427384222534145437627115361660380306025932199372424422759087237024939732892176640352229329633574128149369112211694784100123743411113015396794164244887<194>

939410538709031628588782375123939<33>
70779552936071217139398514636817685319451322959040788660794477052188202126451413320552634290854458743385095585596744070739139048882735209860076813817202685299133<161>

Run 182 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1764874540
Step 1 took 18952ms
Step 2 took 6106ms
********** Factor found in step 2: 939410538709031628588782375123939
Found probable prime factor of 33 digits: 939410538709031628588782375123939
Probable prime cofactor 70779552936071217139398514636817685319451322959040788660794477052188202126451413320552634290854458743385095585596744070739139048882735209860076813817202685299133 has 161 digits

GMP-ECM 6.4.4

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

316394112929966834613063648633091343075179591103962291897949246234556059550590158034422558314461753492058400331342774548846167038436899809899009330631977104692019<162>

57912051985094574670435738378876468813873417662272473642979<59>
5463355244455859865890847224471095065816962050712056142880427208982278389558507808833756188365756315761<103>

Number: n
N=316394112929966834613063648633091343075179591103962291897949246234556059550590158034422558314461753492058400331342774548846167038436899809899009330631977104692019  ( 162 digits)
SNFS difficulty: 204 digits.
Divisors found:

Mon Oct 16 20:21:21 2023  prp59 factor: 57912051985094574670435738378876468813873417662272473642979
Mon Oct 16 20:21:21 2023  prp103 factor: 5463355244455859865890847224471095065816962050712056142880427208982278389558507808833756188365756315761
Mon Oct 16 20:21:21 2023  elapsed time 03:38:10 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.101).
Factorization parameters were as follows:
#
# N = 73x10^203+17 = 81(202)3
#
n: 316394112929966834613063648633091343075179591103962291897949246234556059550590158034422558314461753492058400331342774548846167038436899809899009330631977104692019
m: 10000000000000000000000000000000000000000
deg: 5
c5: 73000
c0: 17
skew: 0.19
# Murphy_E = 6.9e-12
type: snfs
lss: 1
rlim: 18200000
alim: 18200000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18200000/18200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 56300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3600314 hash collisions in 19032318 relations (15733803 unique)
Msieve: matrix is 2608863 x 2609088 (736.2 MB)

Sieving start time: 2023/10/15 17:41:49
Sieving end time  : 2023/10/16 16:42:47

Total sieving time: 23hrs 0min 58secs.

Total relation processing time: 3hrs 29min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 30sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,18200000,18200000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

418935639623423960126161941082003775534145055780546678971626853156694768245307297869805150601627205200792434207231104691208824365621618807059625654064867667987<159>

7804687877848038000406140172898179430542454849971112801693597<61>
53677436712425681802781634455132842121488844881812842123565904306435079194071986229185169734485871<98>

Number: n
N=418935639623423960126161941082003775534145055780546678971626853156694768245307297869805150601627205200792434207231104691208824365621618807059625654064867667987  ( 159 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sun Apr 14 03:12:31 2024  prp61 factor: 7804687877848038000406140172898179430542454849971112801693597
Sun Apr 14 03:12:31 2024  prp98 factor: 53677436712425681802781634455132842121488844881812842123565904306435079194071986229185169734485871
Sun Apr 14 03:12:31 2024  elapsed time 03:00:55 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.977).
Factorization parameters were as follows:
#
# N = 73x10^204+17 = 81(203)3
#
n: 418935639623423960126161941082003775534145055780546678971626853156694768245307297869805150601627205200792434207231104691208824365621618807059625654064867667987
m: 10000000000000000000000000000000000
deg: 6
c6: 73
c0: 17
skew: 0.78
# Murphy_E = 6.813e-12
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 20650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4294409 hash collisions in 20917636 relations (17082081 unique)
Msieve: matrix is 2407923 x 2408148 (679.9 MB)

Sieving start time: 2024/04/12 21:56:15
Sieving end time  : 2024/04/14 00:10:16

Total sieving time: 26hrs 14min 1secs.

Total relation processing time: 2hrs 51min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 27sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18900000,18900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

24977435066203151977242086204638688989245690649482629591484359776957168625846155304459875543906759628483232912741863793569388569054594153524442349605003170405991312641891<170>

54544092095358919644348713403607525839900845005715789450410802660862917686617061033397281945450686144890807761322540621201264342997833803447502220793349366593517799037871003021<176>

332220790519513764757364255512001786227060009483<48>
164180248954513112834354193632690888728429820033278000800735318243892207972518979659303707568250153389499896215614064577172166087<129>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3836085877
Step 1 took 96634ms
Step 2 took 27579ms
********** Factor found in step 2: 332220790519513764757364255512001786227060009483
Found probable prime factor of 48 digits: 332220790519513764757364255512001786227060009483

75465145111864579453073688939612459129865229742694847591965664243869736820859127000440644790946347904809320197770310730237882178197135347784100649219675455654325836834193557059316336403<185>

38884217088633446408437388112587105116545431<44>
1637928522454228556407341109084778531322856582983220129<55>
1184890197782516668187376342204790385120778336783520502316865480675182034762091822201797<88>

#
# N = 73x10^208+17 = 81(207)3
#
n: 75465145111864579453073688939612459129865229742694847591965664243869736820859127000440644790946347904809320197770310730237882178197135347784100649219675455654325836834193557059316336403
m: 100000000000000000000000000000000000000000
deg: 5
c5: 73000
c0: 17
skew: 0.19
# Murphy_E = 4.242e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 75465145111864579453073688939612459129865229742694847591965664243869736820859127000440644790946347904809320197770310730237882178197135347784100649219675455654325836834193557059316336403 (
185 digits)
Using B1=45990000, B2=240493423186, polynomial Dickson(12), sigma=1:1903763204
Step 1 took 123894ms
Step 2 took 39918ms
********** Factor found in step 2: 38884217088633446408437388112587105116545431
Found prime factor of 44 digits: 38884217088633446408437388112587105116545431
Composite cofactor 1940765450924416167804475186790354561346212765685923223417297645292686844439979006021239248862927590402073491702448171423697299412949910371813 has 142 digits



CADO:

STA:Sat 12 Jun 2021 09:30:41 AEST (1940765450924416167804475186790354561346212765685923223417297645292686844439979006021239248862927590402073491702448171423697299412949910371813 - C142)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors 1940765450924416167804475186790354561346212765685923223417297645292686844439979006021239248862927590402073491702448171423697299412949910371
813 2>&1 | tee -a log9

Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c140
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.03k7a9ge
Info:Database: Opened connection to database /tmp/cado.03k7a9ge/c140.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors 1940765450924416167804475186790354561346212765685923223417297645292686844439979006021239248862927590402
073491702448171423697299412949910371813
Info:root: If this computation gets interrupted, it can be resumed with /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py /tmp/cado.03k7a9ge/c140.parameters_snapshot.0
Info:Server Launcher: Adding linux-6 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,linux-6
Info:Complete Factorization: Factoring 1940765450924416167804475186790354561346212765685923223417297645292686844439979006021239248862927590402073491702448171423697299412949910371813

...


Info:Square Root: Factors: 1637928522454228556407341109084778531322856582983220129 1184890197782516668187376342204790385120778336783520502316865480675182034762091822201797
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66742/41.880/50.883/56.160/0.940
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66742/40.780/45.744/51.790/1.433
Info:Polynomial Selection (size optimized): Total time: 27872
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3214.03
Info:Polynomial Selection (root optimized): Rootsieve time: 3213.11
Info:Generate Factor Base: Total cpu/real time for makefb: 25.36/2.25641
Info:Generate Free Relations: Total cpu/real time for freerel: 304.53/20.8121
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26590415
Info:Lattice Sieving: Average J: 3783.2 for 1317599 special-q, max bucket fill: 0.719142
Info:Lattice Sieving: Total CPU time: 1.23483e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 73.32/95.5618
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 95.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 608.89/311.846
Info:Filtering - Singleton removal: Total cpu/real time for purge: 461.12/258.323
Info:Filtering - Merging: Total cpu/real time for merge: 1351.97/1138.28
Info:Filtering - Merging: Total cpu/real time for replay: 105.84/85.0013
Info:Linear Algebra: Total cpu/real time for bwc: 194974/0.000233889
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 8459.02
Info:Linear Algebra: Lingen CPU time 665.36, WCT time 64.24
Info:Linear Algebra: Mksol: WCT time 4643.53
Info:Quadratic Characters: Total cpu/real time for characters: 95.27/23.0366
Info:Square Root: Total cpu/real time for sqrt: 3045.58/423.568
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.46697e+06/96584.1
Info:root: Cleaning up computation data in /tmp/cado.03k7a9ge
1637928522454228556407341109084778531322856582983220129 1184890197782516668187376342204790385120778336783520502316865480675182034762091822201797

END:Sun 13 Jun 2021 12:20:26 AEST (1940765450924416167804475186790354561346212765685923223417297645292686844439979006021239248862927590402073491702448171423697299412949910371813 - C142)

7013608335965580245381505015741948276111170259013806077612291229273849728640350171977281645497362181494288633018016010588087180432413201463067362303311928992076646582309<169>

120819887587149695769086401091027499767290980830886551791960485653122566590181129735003579907820806714151993769040721895637076749438538189263562506506891429382395537091544740051307641993429<189>

1072282111813165446342068712847423<34>
112675466890751756132829174943859851795288093972368712237011046180258685742193511816780399134313309716691145924096711468102706390518262936539281380791314923<156>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2524081113
Step 1 took 4591ms
Step 2 took 2327ms
********** Factor found in step 2: 1072282111813165446342068712847423
Found probable prime factor of 34 digits: 1072282111813165446342068712847423
Probable prime cofactor 

3230912529597223951899063760080634192063123206064128104662264554312005502806805440852258350166241009322403481516705993949965704618352950451750189900871832251767896879611088329006678982590151<190>

36673622522605289919763391569<29>

88099083410855271516503799377553399218024127042139159002563494339662380157447343955440747358904141605081833303790884296124321077251123682225019832971938521129879<161>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3565229807
Step 1 took 5252ms
********** Factor found in step 1: 36673622522605289919763391569
Found probable prime factor of 29 digits: 36673622522605289919763391569
Composite cofactor

195956123008240165830806512153402777854917706491154134830346991748066465191934960807869451157169422524788238235460079208754962035730632030480879634499021308293631<162>

1606342964580027480265194752679751689090877559<46>
121988969559481452802051144269777293076280764564110057095484272710097913437280227491660983213186147022595552557108409<117>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3428679093
Step 1 took 73428ms
Step 2 took 26055ms
********** Factor found in step 2: 1606342964580027480265194752679751689090877559
Found probable prime factor of 46 digits: 1606342964580027480265194752679751689090877559

464877111364195223614270703871316122451833438977116134456897615929704969801332946234264201806719541815251706888764523665943490208795955197062869843862519009331526141019252787199252272203349<189>

5863226071621976508664350085871795644732310739700338996809766023310440351689917942614758279878680301273978190186743786405973383612299878730573858239846537<154>

10476401409272583294721517640772755395282733553284325372090495065648334332888220798749455072142001508641255325802616760466923183147707882668163671730948180322593045460050059638235632160583629035124883<200>

1559535391129191494095526925305548895047468738097860661<55>
27538172319898612171175005016125072298417295030425474652206779643<65>
243939305083651979721555932044345743686756314537389240607016086102056741136874821<81>

Number: n
N=10476401409272583294721517640772755395282733553284325372090495065648334332888220798749455072142001508641255325802616760466923183147707882668163671730948180322593045460050059638235632160583629035124883  ( 200 digits)
SNFS difficulty: 216 digits.
Divisors found:

Sat Oct 31 13:47:29 2020  found factor: 243939305083651979721555932044345743686756314537389240607016086102056741136874821
Sat Oct 31 14:09:57 2020  found factor: 243939305083651979721555932044345743686756314537389240607016086102056741136874821
Sat Oct 31 14:15:35 2020  found factor: 243939305083651979721555932044345743686756314537389240607016086102056741136874821
Sat Oct 31 14:26:52 2020  p55 factor: 1559535391129191494095526925305548895047468738097860661
Sat Oct 31 14:26:52 2020  p65 factor: 27538172319898612171175005016125072298417295030425474652206779643
Sat Oct 31 14:26:52 2020  p81 factor: 243939305083651979721555932044345743686756314537389240607016086102056741136874821
Sat Oct 31 14:26:52 2020  elapsed time 06:50:38 (Msieve 1.54 - dependency 9)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 73x10^215+17 = 81(214)3
#
n: 10476401409272583294721517640772755395282733553284325372090495065648334332888220798749455072142001508641255325802616760466923183147707882668163671730948180322593045460050059638235632160583629035124883
m: 10000000000000000000000000000000000000000000
deg: 5
c5: 73
c0: 17
skew: 0.75
# Murphy_E = 2.682e-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, 56100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9808151 hash collisions in 58775048 relations (50665353 unique)
Msieve: matrix is 3903944 x 3904169 (1367.3 MB)

Sieving start time: 2020/10/30 10:58:05
Sieving end time  : 2020/10/31 07:35:07

Total sieving time: 20hrs 37min 2secs.

Total relation processing time: 5hrs 43min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 50min 37sec.

Prototype def-par.txt line would be:
snfs,216,5,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118294] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16242460K/16727236K available (14339K kernel code, 2398K rwdata, 4956K rodata, 2716K init, 4988K bss, 484776K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798568)
[    0.152036] smpboot: Total of 16 processors activated (102388.54 BogoMIPS)

173968763207996273387746630185888331786902881742977407931956192953313676994681298779756487611285268930729837294878296050617064669727584777465233840797016753648215670767266029866568013313879<189>

21906342275448800575758612026592342871<38>
7941479276664508014768728122529823958545330706149908475842884133270774346253199957794916637164385398806826138655979121606505155685891689192462557109249<151>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3598961310
Step 1 took 24371ms
Step 2 took 5028ms
********** Factor found in step 2: 21906342275448800575758612026592342871
Found probable prime factor of 38 digits: 21906342275448800575758612026592342871

8724464080357024975808975877786890378085964095171974337475411078734333527914678542378002840569765061682325928709613097934095788567597585157970494799127974295065088908322904315833798485050738681593<196>

11469485197058025691046068835218769491306461426156778736960351102248183518182623141091661456023064081012337161560969639491<122>

17540449602684234182438610112876660668433<41>
653887754125916922331527312649865610252452433083485888292931028909128404709604627<81>

Number: 7611
N = 11469485197058025691046068835218769491306461426156778736960351102248183518182623141091661456023064081012337161560969639491 (122 digits)
Divisors found:
r1=17540449602684234182438610112876660668433 (pp41)
r2=653887754125916922331527312649865610252452433083485888292931028909128404709604627 (pp81)
Version: Msieve v. 1.52 (SVN 883 pre-release)
Total time: 10.62 hours.
Factorization parameters were as follows:
n: 11469485197058025691046068835218769491306461426156778736960351102248183518182623141091661456023064081012337161560969639491
Y0: -127705280744530776742403
Y1: 10613935060993
c0: 196594429796957155429531062360
c1: -9445815186397768751107626
c2: -348914419828190383123
c3: -1919958840374096
c4: -53274764268
c5: 337680
skew: 76068.16  
type: gnfs
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 11277077
Relations: 1556204 relations
Pruned matrix : 870149 x 870396
Polynomial selection time: 0.00 hours.
Total sieving time: 3.40 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 7.05 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: gnfs,121,5,65,2000,1e-05,0.28,250,20,50000,3600,4700000,4700000,27,27,53,53,2.5,2.5,100000
total time: 10.62 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.39GHz

408062749521551948336257244580887297558471280758178389903449965390358272019637831123057362490919576996010930298431399109576170834927699144162865500895645577651808630879430711729058210745217481151<195>

2488915638417560282429281320982754201<37>

163952021202693771679379401239117898029126802829267232623706175490027743319304762034575073601035885102549593968824343405678477115704823889000481238580067036951<159>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4009429122
Step 1 took 6376ms
Step 2 took 2981ms
********** Factor found in step 2: 2488915638417560282429281320982754201
Found probable prime factor of 37 digits: 2488915638417560282429281320982754201
Composite cofactor 

163952021202693771679379401239117898029126802829267232623706175490027743319304762034575073601035885102549593968824343405678477115704823889000481238580067036951<159>

1885166510430960272124906349943573<34>
86969517172895971344184571502122952370704251010983423082748410060048960606818458377732136652329278170389363377183219300465787<125>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=414641305
Step 1 took 19388ms
********** Factor found in step 1: 1885166510430960272124906349943573
Found probable prime factor of 34 digits: 1885166510430960272124906349943573

81111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<221>

364491372366845269350976799755505929<36>

222532321092846559453011576728116985911568755287117810649608196947328366195478171556793939124671163512227605042212254102666726535720702237568942223319164759322281928360165246521601084097<186>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3621553396
Step 1 took 7306ms
Step 2 took 3364ms
********** Factor found in step 2: 364491372366845269350976799755505929
Found probable prime factor of 36 digits: 364491372366845269350976799755505929
Composite cofactor

222532321092846559453011576728116985911568755287117810649608196947328366195478171556793939124671163512227605042212254102666726535720702237568942223319164759322281928360165246521601084097<186>

93860786362790866385770275296936051638476648169971600172585676626303051471477<77>
2370876376772662703145287500208498532875483036993462544029209190772031404202077492466357110885571456886812061<109>

Number: 81113_220
N = 222532321092846559453011576728116985911568755287117810649608196947328366195478171556793939124671163512227605042212254102666726535720702237568942223319164759322281928360165246521601084097 (186 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=93860786362790866385770275296936051638476648169971600172585676626303051471477 (pp77)
r2=2370876376772662703145287500208498532875483036993462544029209190772031404202077492466357110885571456886812061 (pp109)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 79.23 hours.
Factorization parameters were as follows:
n: 222532321092846559453011576728116985911568755287117810649608196947328366195478171556793939124671163512227605042212254102666726535720702237568942223319164759322281928360165246521601084097
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 73
c0: 17
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
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Relations: 7903740 relations
Pruned matrix : 6867871 x 6868096
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 36.56 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 41.83 hours.
time per square root: 0.43 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: 79.23 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

33745236946909064789760280205501083246791063843088490083007462216268599318694672833076226802695417293109691834668386123621600505694039366554650279551020258644633900540482718824243000440843<188>

100233580827708633464675768056504031258280621376537262389<57>
336665982281065134676992599716535351564190145831535242609162376578531461273557919952204646200562774791419126949840580648364182017087<132>

Number: 81113_221
N = 33745236946909064789760280205501083246791063843088490083007462216268599318694672833076226802695417293109691834668386123621600505694039366554650279551020258644633900540482718824243000440843 (188 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=100233580827708633464675768056504031258280621376537262389 (pp57)
r2=336665982281065134676992599716535351564190145831535242609162376578531461273557919952204646200562774791419126949840580648364182017087 (pp132)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 71.43 hours.
Factorization parameters were as follows:
n: 33745236946909064789760280205501083246791063843088490083007462216268599318694672833076226802695417293109691834668386123621600505694039366554650279551020258644633900540482718824243000440843
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 730
c0: 17
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: 36084377
Relations: 9122128 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 49.29 hours.
Total relation processing time: 0.43 hours.
Pruned matrix : 7891090 x 7891315
Matrix solve time: 21.55 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 71.43 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

1084261321416867638397991652499733407941983989437304163465792348990466313684503792559827503783043807234460325048625403248958365376860141639518249852026256726294102662789944062292405179933<187>

4030052855882899767571950638796419557<37>
269043945623221559792820337837917767127247308885897394106913562737524346419538074859449322655126511406666019179714754308270195269043351501340311236569<150>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2697063954
Step 1 took 4998ms
Step 2 took 3666ms
********** Factor found in step 2: 4030052855882899767571950638796419557
Found probable prime factor of 37 digits: 4030052855882899767571950638796419557
Probable prime cofactor 

285346509692537779377315069908111276210539600893060697290000004304407742505383720661850435350948596847909630403786564815616176950779086473231644949960606979542970568628484487465389281882641549519616425577<204>

4227613529290003904356730926525008215046043209688983008912977264662359114862082216045436809434225662088785017005954313177342763424396966951279036355062519746080859336300294283682201<181>

21621723137457096218850163408055902835189425077661339222807060122117008698549837729197728210762517134704324876086094309092102472098365546828475663688956460474330212212425371432547935021755347<191>

4062772559778392580515917691427756187489<40>

5321913254882392846027980382355669178242293043220810482786561801929217632663356146968083256729825384154499076755802925722594687779444000720410886527923<151>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2877023928
Step 1 took 96060ms
Step 2 took 28296ms
********** Factor found in step 2: 4062772559778392580515917691427756187489
Found probable prime factor of 40 digits: 4062772559778392580515917691427756187489

5321913254882392846027980382355669178242293043220810482786561801929217632663356146968083256729825384154499076755802925722594687779444000720410886527923<151>

275086978075190060360020524621229619301628617268338977549675590552188763<72>
19346292914773101015430666827009118049407989364708207681782230552093716049245321<80>

Number: 81113_225
N = 5321913254882392846027980382355669178242293043220810482786561801929217632663356146968083256729825384154499076755802925722594687779444000720410886527923 (151 digits)
Divisors found:
r1=275086978075190060360020524621229619301628617268338977549675590552188763 (pp72)
r2=19346292914773101015430666827009118049407989364708207681782230552093716049245321 (pp80)
Version: Msieve v. 1.54 (SVN 1018)
Total time: 321.49 hours.
Factorization parameters were as follows:
n: 5321913254882392846027980382355669178242293043220810482786561801929217632663356146968083256729825384154499076755802925722594687779444000720410886527923
# norm 1.418556e-014 alpha -8.311904 e 4.740e-012 rroots 5
skew: 70861463.69
c0: -154827279089396454436582648425756159719208
c1: 7097566169624509910440787431532518
c2: 152490640963565258189778193
c3: -3577210962411955362
c4: -38338055684
c5: 240
Y0: -466843561971415343646161308655
Y1: 2156030782286899
type: gnfs
Factor base limits: 21900000/21900000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 48326091
Relations: 6338522 relations
Pruned matrix : 4011983 x 4012209
Total sieving time: 305.51 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 15.30 hours.
time per square root: 0.33 hours.
Prototype def-par.txt line would be: gnfs,150,5,65,2000,1e-05,0.28,250,20,50000,3600,21900000,21900000,29,29,58,58,2.6,2.6,100000
total time: 321.49 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
processors: 8, speed: 3.39GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

81111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<227>

8431942103156490126029579421607<31>

9619505224157936029205730666687982595104902956351203593736660274307018135428554075975224477958811529453095794998099653584806250881993371985065529353974009224731649465705998267366957760562841970959<196>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1549924937
Step 1 took 6657ms
Step 2 took 3370ms
********** Factor found in step 2: 8431942103156490126029579421607
Found probable prime factor of 31 digits: 8431942103156490126029579421607
Composite cofactor