1101378361443362334800454697333708457237190352894806247424401857396076767882135292337939<88>

2649665594353355667701413432585159<34>
415666929362892300678012893291131874171779345720654421<54>

Sun Dec 14 06:32:50 2008  Msieve v. 1.39
Sun Dec 14 06:32:50 2008  random seeds: 62e79a6d 45d19e2c
Sun Dec 14 06:32:50 2008  factoring 1101378361443362334800454697333708457237190352894806247424401857396076767882135292337939 (88 digits)
Sun Dec 14 06:32:51 2008  searching for 15-digit factors
Sun Dec 14 06:32:52 2008  commencing quadratic sieve (88-digit input)
Sun Dec 14 06:32:53 2008  using multiplier of 11
Sun Dec 14 06:32:53 2008  using 32kb Intel Core sieve core
Sun Dec 14 06:32:53 2008  sieve interval: 24 blocks of size 32768
Sun Dec 14 06:32:53 2008  processing polynomials in batches of 9
Sun Dec 14 06:32:53 2008  using a sieve bound of 1508383 (57226 primes)
Sun Dec 14 06:32:53 2008  using large prime bound of 120670640 (26 bits)
Sun Dec 14 06:32:53 2008  using double large prime bound of 352275850752880 (42-49 bits)
Sun Dec 14 06:32:53 2008  using trial factoring cutoff of 49 bits
Sun Dec 14 06:32:53 2008  polynomial 'A' values have 11 factors
Sun Dec 14 07:22:11 2008  57405 relations (15925 full + 41480 combined from 602836 partial), need 57322
Sun Dec 14 07:22:13 2008  begin with 618761 relations
Sun Dec 14 07:22:13 2008  reduce to 137376 relations in 9 passes
Sun Dec 14 07:22:13 2008  attempting to read 137376 relations
Sun Dec 14 07:22:16 2008  recovered 137376 relations
Sun Dec 14 07:22:16 2008  recovered 114537 polynomials
Sun Dec 14 07:22:16 2008  attempting to build 57405 cycles
Sun Dec 14 07:22:16 2008  found 57405 cycles in 6 passes
Sun Dec 14 07:22:16 2008  distribution of cycle lengths:
Sun Dec 14 07:22:16 2008     length 1 : 15925
Sun Dec 14 07:22:16 2008     length 2 : 11211
Sun Dec 14 07:22:16 2008     length 3 : 10151
Sun Dec 14 07:22:16 2008     length 4 : 7733
Sun Dec 14 07:22:16 2008     length 5 : 5182
Sun Dec 14 07:22:16 2008     length 6 : 3216
Sun Dec 14 07:22:16 2008     length 7 : 1838
Sun Dec 14 07:22:16 2008     length 9+: 2149
Sun Dec 14 07:22:16 2008  largest cycle: 20 relations
Sun Dec 14 07:22:16 2008  matrix is 57226 x 57405 (13.5 MB) with weight 3317254 (57.79/col)
Sun Dec 14 07:22:16 2008  sparse part has weight 3317254 (57.79/col)
Sun Dec 14 07:22:17 2008  filtering completed in 3 passes
Sun Dec 14 07:22:17 2008  matrix is 52706 x 52770 (12.6 MB) with weight 3079370 (58.35/col)
Sun Dec 14 07:22:17 2008  sparse part has weight 3079370 (58.35/col)
Sun Dec 14 07:22:17 2008  saving the first 48 matrix rows for later
Sun Dec 14 07:22:17 2008  matrix is 52658 x 52770 (8.6 MB) with weight 2474966 (46.90/col)
Sun Dec 14 07:22:17 2008  sparse part has weight 1945695 (36.87/col)
Sun Dec 14 07:22:17 2008  matrix includes 64 packed rows
Sun Dec 14 07:22:17 2008  using block size 21108 for processor cache size 2048 kB
Sun Dec 14 07:22:17 2008  commencing Lanczos iteration
Sun Dec 14 07:22:17 2008  memory use: 8.1 MB
Sun Dec 14 07:22:33 2008  lanczos halted after 834 iterations (dim = 52656)
Sun Dec 14 07:22:33 2008  recovered 17 nontrivial dependencies
Sun Dec 14 07:22:33 2008  prp34 factor: 2649665594353355667701413432585159
Sun Dec 14 07:22:33 2008  prp54 factor: 415666929362892300678012893291131874171779345720654421
Sun Dec 14 07:22:33 2008  elapsed time 00:49:43

4160638254945257795077203040399477793071467096507626461078106980750015463188979201669377<88>

43729720990949949880600834845372658547<38>
95144404324151060163204535145958036377440540232891<50>

Sun Dec 14 06:38:51 2008  Msieve v. 1.39
Sun Dec 14 06:38:51 2008  random seeds: 706bda11 1a3ccd2d
Sun Dec 14 06:38:51 2008  factoring 4160638254945257795077203040399477793071467096507626461078106980750015463188979201669377 (88 digits)
Sun Dec 14 06:38:52 2008  searching for 15-digit factors
Sun Dec 14 06:38:54 2008  commencing quadratic sieve (88-digit input)
Sun Dec 14 06:38:54 2008  using multiplier of 1
Sun Dec 14 06:38:54 2008  using 64kb Pentium 4 sieve core
Sun Dec 14 06:38:54 2008  sieve interval: 14 blocks of size 65536
Sun Dec 14 06:38:54 2008  processing polynomials in batches of 8
Sun Dec 14 06:38:54 2008  using a sieve bound of 1518589 (58000 primes)
Sun Dec 14 06:38:54 2008  using large prime bound of 121487120 (26 bits)
Sun Dec 14 06:38:54 2008  using double large prime bound of 356577817808960 (42-49 bits)
Sun Dec 14 06:38:54 2008  using trial factoring cutoff of 49 bits
Sun Dec 14 06:38:54 2008  polynomial 'A' values have 11 factors
Sun Dec 14 08:02:47 2008  58224 relations (16052 full + 42172 combined from 612983 partial), need 58096
Sun Dec 14 08:02:50 2008  begin with 629035 relations
Sun Dec 14 08:02:50 2008  reduce to 140474 relations in 9 passes
Sun Dec 14 08:02:50 2008  attempting to read 140474 relations
Sun Dec 14 08:02:54 2008  recovered 140474 relations
Sun Dec 14 08:02:54 2008  recovered 114957 polynomials
Sun Dec 14 08:02:54 2008  attempting to build 58224 cycles
Sun Dec 14 08:02:54 2008  found 58224 cycles in 6 passes
Sun Dec 14 08:02:54 2008  distribution of cycle lengths:
Sun Dec 14 08:02:54 2008     length 1 : 16052
Sun Dec 14 08:02:54 2008     length 2 : 11306
Sun Dec 14 08:02:54 2008     length 3 : 10232
Sun Dec 14 08:02:54 2008     length 4 : 7703
Sun Dec 14 08:02:54 2008     length 5 : 5269
Sun Dec 14 08:02:54 2008     length 6 : 3373
Sun Dec 14 08:02:54 2008     length 7 : 1952
Sun Dec 14 08:02:54 2008     length 9+: 2337
Sun Dec 14 08:02:54 2008  largest cycle: 17 relations
Sun Dec 14 08:02:54 2008  matrix is 58000 x 58224 (13.7 MB) with weight 3353101 (57.59/col)
Sun Dec 14 08:02:54 2008  sparse part has weight 3353101 (57.59/col)
Sun Dec 14 08:02:56 2008  filtering completed in 3 passes
Sun Dec 14 08:02:56 2008  matrix is 53684 x 53747 (12.7 MB) with weight 3122843 (58.10/col)
Sun Dec 14 08:02:56 2008  sparse part has weight 3122843 (58.10/col)
Sun Dec 14 08:02:56 2008  saving the first 48 matrix rows for later
Sun Dec 14 08:02:56 2008  matrix is 53636 x 53747 (8.7 MB) with weight 2504409 (46.60/col)
Sun Dec 14 08:02:56 2008  sparse part has weight 1952885 (36.33/col)
Sun Dec 14 08:02:56 2008  matrix includes 64 packed rows
Sun Dec 14 08:02:56 2008  using block size 21498 for processor cache size 512 kB
Sun Dec 14 08:02:57 2008  commencing Lanczos iteration
Sun Dec 14 08:02:57 2008  memory use: 8.2 MB
Sun Dec 14 08:03:27 2008  lanczos halted after 849 iterations (dim = 53632)
Sun Dec 14 08:03:27 2008  recovered 14 nontrivial dependencies
Sun Dec 14 08:03:28 2008  prp38 factor: 43729720990949949880600834845372658547
Sun Dec 14 08:03:28 2008  prp50 factor: 95144404324151060163204535145958036377440540232891
Sun Dec 14 08:03:28 2008  elapsed time 01:24:37

51842510858904301527252346924478072019055625613002662182990051842510858904301527252346924478072019055625613002662183<116>

69418872032971825675387608033297539<35>
746807162673007794573024730772402779877228065547662481262643057695893171999373197<81>

Number: 41119_118
N=51842510858904301527252346924478072019055625613002662182990051842510858904301527252346924478072019055625613002662183
  ( 116 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=69418872032971825675387608033297539 (prp35)
 r2=746807162673007794573024730772402779877228065547662481262643057695893171999373197 (prp81)
Version: 
Total time: 2.26 hours.
Scaled time: 4.42 units (timescale=1.955).
Factorization parameters were as follows:
name: 41119_118
n: 51842510858904301527252346924478072019055625613002662182990051842510858904301527252346924478072019055625613002662183
m: 500000000000000000000000
deg: 5
c5: 296
c0: 1775
skew: 1.43
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [365000, 665001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 79104 x 79347
Total sieving time: 2.26 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,120,5,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 2.26 hours.
 --------- CPU info (if available) ----------

1853280469857407409649560238135051795272682028566957745455654946359544378927120317253367823242200048494769<106>

15718212115607084073455098063640139764109946061<47>
117906569540261494882234034595775781192538671358262630919029<60>

Number: n
N=1853280469857407409649560238135051795272682028566957745455654946359544378927120317253367823242200048494769
  ( 106 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=15718212115607084073455098063640139764109946061 (pp47)
 r2=117906569540261494882234034595775781192538671358262630919029 (pp60)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.52 hours.
Scaled time: 2.79 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_4_1_119_9
n: 1853280469857407409649560238135051795272682028566957745455654946359544378927120317253367823242200048494769
type: snfs
skew: 1.14
deg: 5
c5: 37
c0: 71
m: 1000000000000000000000000
rlim: 500000
alim: 500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [250000, 450001)
Primes: RFBsize:41538, AFBsize:41148, largePrimes:5521859 encountered
Relations: rels:4970497, finalFF:209320
Max relations in full relation-set: 48
Initial matrix: 82751 x 209320 with sparse part having weight 32997515.
Pruned matrix : 71450 x 71927 with weight 7104504.
Total sieving time: 1.28 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.03 hours.
Total square root time: 0.14 hours, sqrts: 10.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,500000,500000,28,28,56,56,2.5,2.5,50000
total time: 1.52 hours.
 --------- CPU info (if available) ----------

3897892493807354986020787987411703517026257784064973021843262793067524455851574153348779522453388316794154088325611819<118>

20695535029248947852717006458822002729677<41>
188344610965528230197952413898521617583890420834456669268656909688180223321047<78>

Number: 41119_123
N=3897892493807354986020787987411703517026257784064973021843262793067524455851574153348779522453388316794154088325611819
  ( 118 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=20695535029248947852717006458822002729677  (prp41)
 r2=188344610965528230197952413898521617583890420834456669268656909688180223321047 (prp78)
Version: 
Total time: 1.94 hours.
Scaled time: 5.00 units (timescale=2.575).
Factorization parameters were as follows:
name: 41119_123
n: 3897892493807354986020787987411703517026257784064973021843262793067524455851574153348779522453388316794154088325611819
m: 5000000000000000000000000
deg: 5
c5: 296
c0: 1775
skew: 1.43
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 740001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 123693 x 123934
Total sieving time: 1.94 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,125,5,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,50000
total time: 1.94 hours.
 --------- CPU info (if available) ----------

3786202599854369175101763795740950150675265207939197580619648859764781300033378615291421350577516551<100>

128123426410502970074948895719212965675887<42>
29551212498200826094631393040780112047335950040214922506473<59>

Number: n
N=3786202599854369175101763795740950150675265207939197580619648859764781300033378615291421350577516551
  ( 100 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=128123426410502970074948895719212965675887 (pp42)
 r2=29551212498200826094631393040780112047335950040214922506473 (pp59)
Version: GGNFS-0.77.1-20051202-k8
Total time: 3.83 hours.
Scaled time: 7.71 units (timescale=2.013).
Factorization parameters were as follows:
name: KA_4_1_128_9
n: 3786202599854369175101763795740950150675265207939197580619648859764781300033378615291421350577516551
type: snfs
skew: 1.81
deg: 5
c5: 37
c0: 710
m: 100000000000000000000000000
rlim: 900000
alim: 900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [100000, 650001)
Primes: RFBsize:71274, AFBsize:71376, largePrimes:7510334 encountered
Relations: rels:6777003, finalFF:229584
Max relations in full relation-set: 28
Initial matrix: 142715 x 229584 with sparse part having weight 24217375.
Pruned matrix : 123653 x 124430 with weight 10406862.
Total sieving time: 3.63 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,900000,900000,28,28,56,56,2.5,2.5,50000
total time: 3.83 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 3321556k/3407296k available (2912k kernel code, 84428k reserved, 1794k data, 1544k init, 2502088k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.98 BogoMIPS (lpj=2830490)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462)
Total of 4 processors activated (22643.71 BogoMIPS).

5968995696212457427044842553502875786013425970251737697198124448731278272530146726348671<88>

76781171389640257460964238610947216532089199<44>
77740357280063944340382379702634468726758129<44>

Sun Dec 14 08:13:01 2008  Msieve v. 1.39
Sun Dec 14 08:13:01 2008  random seeds: 9c481be0 3d650de5
Sun Dec 14 08:13:01 2008  factoring 5968995696212457427044842553502875786013425970251737697198124448731278272530146726348671 (88 digits)
Sun Dec 14 08:13:03 2008  searching for 15-digit factors
Sun Dec 14 08:13:05 2008  commencing quadratic sieve (88-digit input)
Sun Dec 14 08:13:05 2008  using multiplier of 1
Sun Dec 14 08:13:05 2008  using 64kb Pentium 4 sieve core
Sun Dec 14 08:13:05 2008  sieve interval: 14 blocks of size 65536
Sun Dec 14 08:13:05 2008  processing polynomials in batches of 8
Sun Dec 14 08:13:05 2008  using a sieve bound of 1527443 (57997 primes)
Sun Dec 14 08:13:05 2008  using large prime bound of 122195440 (26 bits)
Sun Dec 14 08:13:05 2008  using double large prime bound of 360328813713040 (42-49 bits)
Sun Dec 14 08:13:05 2008  using trial factoring cutoff of 49 bits
Sun Dec 14 08:13:05 2008  polynomial 'A' values have 11 factors
Sun Dec 14 09:46:40 2008  58202 relations (15835 full + 42367 combined from 613321 partial), need 58093
Sun Dec 14 09:46:42 2008  begin with 629156 relations
Sun Dec 14 09:46:43 2008  reduce to 141005 relations in 9 passes
Sun Dec 14 09:46:43 2008  attempting to read 141005 relations
Sun Dec 14 09:46:46 2008  recovered 141005 relations
Sun Dec 14 09:46:46 2008  recovered 118767 polynomials
Sun Dec 14 09:46:46 2008  attempting to build 58202 cycles
Sun Dec 14 09:46:46 2008  found 58202 cycles in 6 passes
Sun Dec 14 09:46:46 2008  distribution of cycle lengths:
Sun Dec 14 09:46:46 2008     length 1 : 15835
Sun Dec 14 09:46:46 2008     length 2 : 11324
Sun Dec 14 09:46:46 2008     length 3 : 10272
Sun Dec 14 09:46:46 2008     length 4 : 7605
Sun Dec 14 09:46:46 2008     length 5 : 5453
Sun Dec 14 09:46:46 2008     length 6 : 3261
Sun Dec 14 09:46:47 2008     length 7 : 2085
Sun Dec 14 09:46:47 2008     length 9+: 2367
Sun Dec 14 09:46:47 2008  largest cycle: 17 relations
Sun Dec 14 09:46:47 2008  matrix is 57997 x 58202 (13.9 MB) with weight 3398010 (58.38/col)
Sun Dec 14 09:46:47 2008  sparse part has weight 3398010 (58.38/col)
Sun Dec 14 09:46:48 2008  filtering completed in 4 passes
Sun Dec 14 09:46:48 2008  matrix is 53933 x 53997 (12.9 MB) with weight 3176190 (58.82/col)
Sun Dec 14 09:46:48 2008  sparse part has weight 3176190 (58.82/col)
Sun Dec 14 09:46:48 2008  saving the first 48 matrix rows for later
Sun Dec 14 09:46:48 2008  matrix is 53885 x 53997 (8.5 MB) with weight 2513844 (46.56/col)
Sun Dec 14 09:46:48 2008  sparse part has weight 1912992 (35.43/col)
Sun Dec 14 09:46:48 2008  matrix includes 64 packed rows
Sun Dec 14 09:46:48 2008  using block size 21598 for processor cache size 512 kB
Sun Dec 14 09:46:49 2008  commencing Lanczos iteration
Sun Dec 14 09:46:49 2008  memory use: 8.2 MB
Sun Dec 14 09:47:17 2008  lanczos halted after 853 iterations (dim = 53880)
Sun Dec 14 09:47:17 2008  recovered 14 nontrivial dependencies
Sun Dec 14 09:47:18 2008  prp44 factor: 76781171389640257460964238610947216532089199
Sun Dec 14 09:47:18 2008  prp44 factor: 77740357280063944340382379702634468726758129
Sun Dec 14 09:47:18 2008  elapsed time 01:34:17

40064830156333189911356119025116378434156345249498865836143135288895502259163405215369647868960104691528229503292492741286987<125>

448527358525322314639414749099497098067<39>
89325276139362337612461557618510248967981249045371777169481861806222799110277558174761<86>

Number: 41119_135
N=40064830156333189911356119025116378434156345249498865836143135288895502259163405215369647868960104691528229503292492741286987
  ( 125 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=448527358525322314639414749099497098067  (prp39)
 r2=89325276139362337612461557618510248967981249045371777169481861806222799110277558174761  (prp86)
Version: 
Total time: 4.72 hours.
Scaled time: 12.09 units (timescale=2.564).
Factorization parameters were as follows:
name: 41119_135
n: 40064830156333189911356119025116378434156345249498865836143135288895502259163405215369647868960104691528229503292492741286987
m: 1000000000000000000000000000
deg: 5
c5: 37
c0: 71
skew: 1.14
type: snfs
lss: 1
rlim: 1320000
alim: 1320000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1320000/1320000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [660000, 1335001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 193544 x 193792
Total sieving time: 4.72 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1320000,1320000,26,26,48,48,2.3,2.3,75000
total time: 4.72 hours.
 --------- CPU info (if available) ----------

290207686738842102703715991776925978999944311497950114082994692336713076366191902578063906870000290207686738842102703715991776925979<132>

97340949537081992813353491071448672787822775697068133607<56>
2981352535792632774733519282793371700345256565006961199069479457120577812397<76>

Number: 41119_136
N=290207686738842102703715991776925978999944311497950114082994692336713076366191902578063906870000290207686738842102703715991776925979
  ( 132 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=97340949537081992813353491071448672787822775697068133607  (prp56)
 r2=2981352535792632774733519282793371700345256565006961199069479457120577812397
 (prp76)
Version: 
Total time: 6.11 hours.
Scaled time: 15.68 units (timescale=2.564).
Factorization parameters were as follows:
name: 41119_136
n: 290207686738842102703715991776925978999944311497950114082994692336713076366191902578063906870000290207686738842102703715991776925979
m: 1000000000000000000000000000
deg: 5
c5: 370
c0: 71
skew: 0.72
type: snfs
lss: 1
rlim: 1370000
alim: 1370000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1370000/1370000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [685000, 1585001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 235989 x 236237
Total sieving time: 6.11 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1370000,1370000,26,26,48,48,2.3,2.3,75000
total time: 6.11 hours.
 --------- CPU info (if available) ----------

1414195156823573553705887742749187696994382569658716247518999894535096649197353543171908066013017432273708813448035939853943784061<130>

3476796762562889019061094719588926077162359713038881374966959<61>
406752322152161834672358389592055437109529103077857683960073230597779<69>

Number: 41119_138
N=1414195156823573553705887742749187696994382569658716247518999894535096649197353543171908066013017432273708813448035939853943784061
  ( 130 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=3476796762562889019061094719588926077162359713038881374966959 (prp61)
 r2=406752322152161834672358389592055437109529103077857683960073230597779(prp69)Version: 
Total time: 9.36 hours.
Scaled time: 18.63 units (timescale=1.991).
Factorization parameters were as follows:
name: 41119_138
n: 1414195156823573553705887742749187696994382569658716247518999894535096649197353543171908066013017432273708813448035939853943784061
m: 5000000000000000000000000000
deg: 5
c5: 296
c0: 1775
skew: 1.43
type: snfs
lss: 1
rlim: 1570000
alim: 1570000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1570000/1570000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [785000, 1785001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 237971 x 238219
Total sieving time: 9.36 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1570000,1570000,26,26,48,48,2.3,2.3,100000
total time: 9.36 hours.
 --------- CPU info (if available) ----------

119680677496694974916933014561285713620095179970784786626176652170022469780247401405804538500660051886167039219594779627773701416219<132>

116328262062925150698065808106966699829<39>
1028818580921946643296788098261946277585679831371276345580742344707061170637149919562915568911<94>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1887761298
Step 1 took 7593ms
Step 2 took 4548ms
********** Factor found in step 2: 116328262062925150698065808106966699829
Found probable prime factor of 39 digits: 116328262062925150698065808106966699829
Probable prime cofactor 1028818580921946643296788098261946277585679831371276345580742344707061170637149919562915568911 has 94 digits

GMP-ECM 6.2.1

68500155898643929386073770112198146916568725842649511299081359558885873252281044837718846546767740555072432009399126924327815887951519<134>

3615287439291684894508158182767387665977<40>
18947360908062300940159800563451894341618031529231267746815252549335160149680738911882646397847<95>

Number: 41119_143
N=68500155898643929386073770112198146916568725842649511299081359558885873252281044837718846546767740555072432009399126924327815887951519
  ( 134 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=3615287439291684894508158182767387665977 (prp40)
 r2=18947360908062300940159800563451894341618031529231267746815252549335160149680738911882646397847 (prp95)
Version: 
Total time: 9.91 hours.
Scaled time: 25.40 units (timescale=2.564).
Factorization parameters were as follows:
name: 41119_143
n: 68500155898643929386073770112198146916568725842649511299081359558885873252281044837718846546767740555072432009399126924327815887951519
m: 50000000000000000000000000000
deg: 5
c5: 296
c0: 1775
skew: 1.43
type: snfs
lss: 1
rlim: 1900000
alim: 1900000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1900000/1900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [950000, 2250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 328954 x 329202
Total sieving time: 9.91 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1900000,1900000,26,26,49,49,2.3,2.3,100000
total time: 9.91 hours.
 --------- CPU info (if available) ----------

32614797097712650794867616864163417159876566527399712029554860062118881290868466572935198801534279<98>

618775808407328473965636674049547033<36>
52708584683780887941137184058447905146401641743810396364826463<62>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3429082305
Step 1 took 6624ms
Step 2 took 3648ms
********** Factor found in step 2: 618775808407328473965636674049547033
Found probable prime factor of 36 digits: 618775808407328473965636674049547033
Probable prime cofactor 52708584683780887941137184058447905146401641743810396364826463 has 62 digits

GMP-ECM 6.2.1

548699701400810060635961055722374030806191032906197312251591427155898046660410692341082608508184132862882522671317<114>

624271176245120850697276336102200832129446533<45>
878944475221714294164277298235867536498240189330190166674377210066449<69>

Number: 42221_148
N=548699701400810060635961055722374030806191032906197312251591427155898046660410692341082608508184132862882522671317
  ( 114 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=624271176245120850697276336102200832129446533 (pp45)
 r2=878944475221714294164277298235867536498240189330190166674377210066449 (pp69)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 36.14 hours.
Scaled time: 17.10 units (timescale=0.473).
Factorization parameters were as follows:
name: 42221_148
n: 548699701400810060635961055722374030806191032906197312251591427155898046660410692341082608508184132862882522671317
m: 500000000000000000000000000000
deg: 5
c5: 296
c0: 1775
skew: 1.43
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 2050001)
Primes: RFBsize:169511, AFBsize:170002, largePrimes:7101805 encountered
Relations: rels:7231912, finalFF:593333
Max relations in full relation-set: 28
Initial matrix: 339580 x 593333 with sparse part having weight 65156158.
Pruned matrix : 267308 x 269069 with weight 28342252.
Total sieving time: 33.22 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 2.48 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 36.14 hours.
 --------- CPU info (if available) ----------

：Pentium 4 2.4GHz, Windows XP and Cygwin)

28864357552625256507880498508537587718402715194719806825118503206248327918753286810133287358446407710796717272680968736991307822717<131>

3287070246072146574864034007439682346444251917611909212297051483<64>
8781180623418817074662056980380019977887522124119819322642913307399<67>

Number: 41119_150
N=28864357552625256507880498508537587718402715194719806825118503206248327918753286810133287358446407710796717272680968736991307822717
  ( 131 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=3287070246072146574864034007439682346444251917611909212297051483 (prp64)
 r2=8781180623418817074662056980380019977887522124119819322642913307399 (prp67)
Version: 
Total time: 16.83 hours.
Scaled time: 43.33 units (timescale=2.575).
Factorization parameters were as follows:
name: 41119_150
n: 28864357552625256507880498508537587718402715194719806825118503206248327918753286810133287358446407710796717272680968736991307822717
m: 1000000000000000000000000000000
deg: 5
c5: 37
c0: 71
skew: 1.14
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 2000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 389350 x 389598
Total sieving time: 16.83 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 16.83 hours.
 --------- CPU info (if available) ----------

281665909213748645910172935255665100756463281042437917407942826387984893572155573978028536562899423193893483088245929356667450763657180615599876067<147>

493619702531188780719146460090685151<36>
570613182110476873637098969632150989726981775506952535058010084196523573240634138994101843197569157770130203517<111>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1976020518
Step 1 took 9117ms
Step 2 took 5172ms
********** Factor found in step 2: 493619702531188780719146460090685151
Found probable prime factor of 36 digits: 493619702531188780719146460090685151
Probable prime cofactor 570613182110476873637098969632150989726981775506952535058010084196523573240634138994101843197569157770130203517 has 111 digits

GMP-ECM 6.2.1

202813692784995100304654547000616001388351317469991900616989696292083774391262123814153905948868605435039400406739699971898527486293769126231<141>

267585967846317503969097730621906439<36>
169083349998879656324913041735201585866792484537<48>
4482632066041583145692570283513003585998276879951383228217<58>

Number: 41119_153
N=202813692784995100304654547000616001388351317469991900616989696292083774391262123814153905948868605435039400406739699971898527486293769126231
  ( 141 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=267585967846317503969097730621906439 (prp36)
 r2=169083349998879656324913041735201585866792484537 (prp48)
 r3=4482632066041583145692570283513003585998276879951383228217 (prp58)
Version: 
Total time: 23.52 hours.
Scaled time: 60.31 units (timescale=2.564).
Factorization parameters were as follows:
name: 41119_152
n: 202813692784995100304654547000616001388351317469991900616989696292083774391262123814153905948868605435039400406739699971898527486293769126231
m: 5000000000000000000000000000000
deg: 5
c5: 296
c0: 1775
skew: 1.43
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, 2500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 481081 x 481329
Total sieving time: 23.52 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 23.52 hours.
 --------- CPU info (if available) ----------

6767805260415624010155217671358645841863341122871686405813495731920030225435926539273660504811<94>

14213129565745445748264000298044322650674765341<47>
476165733177193357196365532265201544599028821671<48>

Sun Dec 14 10:37:40 2008  Msieve v. 1.39
Sun Dec 14 10:37:40 2008  random seeds: 992e376c 7d2779b2
Sun Dec 14 10:37:40 2008  factoring 6767805260415624010155217671358645841863341122871686405813495731920030225435926539273660504811 (94 digits)
Sun Dec 14 10:37:41 2008  searching for 15-digit factors
Sun Dec 14 10:37:43 2008  commencing quadratic sieve (94-digit input)
Sun Dec 14 10:37:43 2008  using multiplier of 3
Sun Dec 14 10:37:43 2008  using 64kb Pentium 4 sieve core
Sun Dec 14 10:37:43 2008  sieve interval: 18 blocks of size 65536
Sun Dec 14 10:37:43 2008  processing polynomials in batches of 6
Sun Dec 14 10:37:43 2008  using a sieve bound of 2059517 (76466 primes)
Sun Dec 14 10:37:43 2008  using large prime bound of 284213346 (28 bits)
Sun Dec 14 10:37:43 2008  using double large prime bound of 1646493387513360 (42-51 bits)
Sun Dec 14 10:37:43 2008  using trial factoring cutoff of 51 bits
Sun Dec 14 10:37:43 2008  polynomial 'A' values have 12 factors
Sun Dec 14 17:31:24 2008  76647 relations (18095 full + 58552 combined from 1115782 partial), need 76562
Sun Dec 14 17:31:28 2008  begin with 1133877 relations
Sun Dec 14 17:31:29 2008  reduce to 202780 relations in 11 passes
Sun Dec 14 17:31:29 2008  attempting to read 202780 relations
Sun Dec 14 17:31:35 2008  recovered 202780 relations
Sun Dec 14 17:31:35 2008  recovered 189693 polynomials
Sun Dec 14 17:31:36 2008  attempting to build 76647 cycles
Sun Dec 14 17:31:36 2008  found 76647 cycles in 6 passes
Sun Dec 14 17:31:36 2008  distribution of cycle lengths:
Sun Dec 14 17:31:36 2008     length 1 : 18095
Sun Dec 14 17:31:36 2008     length 2 : 12837
Sun Dec 14 17:31:36 2008     length 3 : 13006
Sun Dec 14 17:31:36 2008     length 4 : 10582
Sun Dec 14 17:31:36 2008     length 5 : 8026
Sun Dec 14 17:31:36 2008     length 6 : 5541
Sun Dec 14 17:31:36 2008     length 7 : 3467
Sun Dec 14 17:31:36 2008     length 9+: 5093
Sun Dec 14 17:31:36 2008  largest cycle: 19 relations
Sun Dec 14 17:31:36 2008  matrix is 76466 x 76647 (20.3 MB) with weight 5027332 (65.59/col)
Sun Dec 14 17:31:36 2008  sparse part has weight 5027332 (65.59/col)
Sun Dec 14 17:31:38 2008  filtering completed in 3 passes
Sun Dec 14 17:31:38 2008  matrix is 73269 x 73333 (19.6 MB) with weight 4838460 (65.98/col)
Sun Dec 14 17:31:38 2008  sparse part has weight 4838460 (65.98/col)
Sun Dec 14 17:31:38 2008  saving the first 48 matrix rows for later
Sun Dec 14 17:31:38 2008  matrix is 73221 x 73333 (12.3 MB) with weight 3830611 (52.24/col)
Sun Dec 14 17:31:38 2008  sparse part has weight 2772583 (37.81/col)
Sun Dec 14 17:31:38 2008  matrix includes 64 packed rows
Sun Dec 14 17:31:38 2008  using block size 21845 for processor cache size 512 kB
Sun Dec 14 17:31:39 2008  commencing Lanczos iteration
Sun Dec 14 17:31:39 2008  memory use: 11.9 MB
Sun Dec 14 17:32:34 2008  lanczos halted after 1159 iterations (dim = 73221)
Sun Dec 14 17:32:34 2008  recovered 18 nontrivial dependencies
Sun Dec 14 17:32:35 2008  prp47 factor: 14213129565745445748264000298044322650674765341
Sun Dec 14 17:32:35 2008  prp48 factor: 476165733177193357196365532265201544599028821671
Sun Dec 14 17:32:35 2008  elapsed time 06:54:55

13261648745519713261648745519713261648745519713261648745519713261648745519713261648745519713261648745519713261648745519713261648745519713261648745519713261649<158>

56252524761237276570987106972917336289<38>
37279445348853727722204385871231176114193568127<47>
6323915511918555012521989947661747244518565340773117237921653166093351183<73>

SNFS difficulty: 160 digits.
Divisors found:
 r1=56252524761237276570987106972917336289 (pp38)
 r2=37279445348853727722204385871231176114193568127 (pp47)
 r3=6323915511918555012521989947661747244518565340773117237921653166093351183 (pp73)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.559).
Factorization parameters were as follows:
n: 13261648745519713261648745519713261648745519713261648745519713261648745519713261648745519713261648745519713261648745519713261648745519713261648745519713261649
m: 50000000000000000000000000000000
deg: 5
c5: 296
c0: 1775
skew: 1.43
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
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: 52/52
Sieved rational special-q in [1700000, 3200001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 646811 x 647059
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,52,52,2.4,2.4,100000
total time: 21.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

6547242453605992394048359084317174514160950780412212530466243101929843173758215174684602594958675707590649982800228486375934461<127>

917687983434563639100375508394927657132123814900083265245269181<63>
7134497314764989439544865488949314528152762596050336212692706881<64>

Number: 41119_159
N=6547242453605992394048359084317174514160950780412212530466243101929843173758215174684602594958675707590649982800228486375934461
  ( 127 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=917687983434563639100375508394927657132123814900083265245269181
 r2=7134497314764989439544865488949314528152762596050336212692706881
Version: 
Total time: 46.32 hours.
Scaled time: 119.27 units (timescale=2.575).
Factorization parameters were as follows:
name: 41119_159
n: 6547242453605992394048359084317174514160950780412212530466243101929843173758215174684602594958675707590649982800228486375934461
m: 50000000000000000000000000000000
deg: 5
c5: 592
c0: 355
skew: 0.90
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, 3700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 731975 x 732223
Total sieving time: 46.32 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 46.32 hours.
 --------- CPU info (if available) ----------

1408889734971532832959813943795077767526643347374927297662390319135412350788559621130563324497189583241140762438987075704505540800628177844802413867<148>

1302813942596384285247378345758543<34>
1023739102807287331415444498937198533190476003389<49>
1056343867181512794323328678468277917562204780290353805173030837321<67>

SNFS difficulty: 161 digits.
Divisors found:
 r1=1302813942596384285247378345758543 (pp34)
 r2=1023739102807287331415444498937198533190476003389 (pp49)
 r3=1056343867181512794323328678468277917562204780290353805173030837321 (pp67)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.174).
Factorization parameters were as follows:
n: 1408889734971532832959813943795077767526643347374927297662390319135412350788559621130563324497189583241140762438987075704505540800628177844802413867
m: 100000000000000000000000000000000
deg: 5
c5: 37
c0: 71
skew: 1.14
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1750000, 3250001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 662073 x 662321
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,52,52,2.4,2.4,100000
total time: 35.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

23274193308925800580091780365675474451842556430851579470279177765428849475396951101054084520978737639545301630498743571049<122>

3626670489409865161778772779661790717<37>
1094056547819889305859449209860307372049<40>
5865793487276188965814571253468258105175479053<46>

Number: 41119_161
N=23274193308925800580091780365675474451842556430851579470279177765428849475396951101054084520978737639545301630498743571049
  ( 122 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=3626670489409865161778772779661790717
 r2=1094056547819889305859449209860307372049
 r3=5865793487276188965814571253468258105175479053
Version: 
Total time: 64.26 hours.
Scaled time: 127.17 units (timescale=1.979).
Factorization parameters were as follows:
name: 41119_161
n: 23274193308925800580091780365675474451842556430851579470279177765428849475396951101054084520978737639545301630498743571049
m: 100000000000000000000000000000000
deg: 5
c5: 370
c0: 71
skew: 0.72
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, 4100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 715677 x 715925
Total sieving time: 64.26 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 64.26 hours.
 --------- CPU info (if available) ----------

12245522586253746099968568685920140593209283041694339776310908812238990592165703272639528019191995298183689750221363386742366663616632131403077<143>

10612384575172811246762013681618992864158685725196076097302274309919<68>
1153889825563011219897015674381343240915397462487267551725993237549611584283<76>

Number: 41119_163
N=12245522586253746099968568685920140593209283041694339776310908812238990592165703272639528019191995298183689750221363386742366663616632131403077
  ( 143 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=10612384575172811246762013681618992864158685725196076097302274309919
 r2=1153889825563011219897015674381343240915397462487267551725993237549611584283
Version: 
Total time: 28.05 hours.
Scaled time: 66.29 units (timescale=2.363).
Factorization parameters were as follows:
n: 12245522586253746099968568685920140593209283041694339776310908812238990592165703272639528019191995298183689750221363386742366663616632131403077
m: 1000000000000000000000000000000000
deg: 5
c5: 37
c0: 7100
skew: 2.86
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2400000, 4600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9817186
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 822349 x 822597
Total sieving time: 24.80 hours.
Total relation processing time: 1.08 hours.
Matrix solve time: 1.58 hours.
Time per square root: 0.60 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,51,51,2.4,2.4,100000
total time: 28.05 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: 8046968k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.84 BogoMIPS (lpj=2672421)
Calibrating delay using timer specific routine.. 5344.41 BogoMIPS (lpj=2672207)
Calibrating delay using timer specific routine.. 5291.27 BogoMIPS (lpj=2645639)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

1343124776980410906357398666493863766817267437319229096291062496515901520488286342007374944355498394269625371902195894299234123782340175387<139>

82984091017440112507642480432701193756559<41>
16185328543252187405293423598335473778264384560401110207473315740112040289602442795258184152320693<98>

Number: 41119_164
N=1343124776980410906357398666493863766817267437319229096291062496515901520488286342007374944355498394269625371902195894299234123782340175387
  ( 139 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=82984091017440112507642480432701193756559 (pp41)
 r2=16185328543252187405293423598335473778264384560401110207473315740112040289602442795258184152320693 (pp98)
Version: Msieve-1.39
Total time: 56.70 hours.
Scaled time: 145.14 units (timescale=2.560).
Factorization parameters were as follows:
n: 1343124776980410906357398666493863766817267437319229096291062496515901520488286342007374944355498394269625371902195894299234123782340175387
m: 500000000000000000000000000000000
deg: 5
c5: 592
c0: 355
skew: 0.90
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 5050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 879398 x 879646
Total sieving time: 56.70 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 56.70 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

2292337392689372228652417839233158652643250786585474807666277446662451849304779576555418639<91>

2456479326290440166586254085782156353<37>
933180006098833852846401252904487652104420827030262863<54>

Sun Dec 14 14:20:07 2008  
Sun Dec 14 14:20:07 2008  
Sun Dec 14 14:20:07 2008  Msieve v. 1.39
Sun Dec 14 14:20:07 2008  random seeds: a9642068 c7f4fd37
Sun Dec 14 14:20:07 2008  factoring 2292337392689372228652417839233158652643250786585474807666277446662451849304779576555418639 (91 digits)
Sun Dec 14 14:20:08 2008  searching for 15-digit factors
Sun Dec 14 14:20:09 2008  commencing quadratic sieve (91-digit input)
Sun Dec 14 14:20:09 2008  using multiplier of 1
Sun Dec 14 14:20:09 2008  using 64kb Opteron sieve core
Sun Dec 14 14:20:09 2008  sieve interval: 18 blocks of size 65536
Sun Dec 14 14:20:09 2008  processing polynomials in batches of 6
Sun Dec 14 14:20:09 2008  using a sieve bound of 1682287 (63529 primes)
Sun Dec 14 14:20:09 2008  using large prime bound of 154770404 (27 bits)
Sun Dec 14 14:20:09 2008  using double large prime bound of 551363682974648 (42-49 bits)
Sun Dec 14 14:20:09 2008  using trial factoring cutoff of 49 bits
Sun Dec 14 14:20:09 2008  polynomial 'A' values have 12 factors
Sun Dec 14 15:25:56 2008  64164 relations (16520 full + 47644 combined from 732118 partial), need 63625
Sun Dec 14 15:25:57 2008  begin with 748638 relations
Sun Dec 14 15:25:57 2008  reduce to 159269 relations in 9 passes
Sun Dec 14 15:25:57 2008  attempting to read 159269 relations
Sun Dec 14 15:25:59 2008  recovered 159269 relations
Sun Dec 14 15:25:59 2008  recovered 138487 polynomials
Sun Dec 14 15:25:59 2008  attempting to build 64164 cycles
Sun Dec 14 15:25:59 2008  found 64164 cycles in 5 passes
Sun Dec 14 15:26:00 2008  distribution of cycle lengths:
Sun Dec 14 15:26:00 2008     length 1 : 16520
Sun Dec 14 15:26:00 2008     length 2 : 12059
Sun Dec 14 15:26:00 2008     length 3 : 11161
Sun Dec 14 15:26:00 2008     length 4 : 8627
Sun Dec 14 15:26:00 2008     length 5 : 6320
Sun Dec 14 15:26:00 2008     length 6 : 4020
Sun Dec 14 15:26:00 2008     length 7 : 2506
Sun Dec 14 15:26:00 2008     length 9+: 2951
Sun Dec 14 15:26:00 2008  largest cycle: 18 relations
Sun Dec 14 15:26:00 2008  matrix is 63529 x 64164 (16.0 MB) with weight 3927565 (61.21/col)
Sun Dec 14 15:26:00 2008  sparse part has weight 3927565 (61.21/col)
Sun Dec 14 15:26:01 2008  filtering completed in 4 passes
Sun Dec 14 15:26:01 2008  matrix is 59617 x 59681 (14.8 MB) with weight 3649747 (61.15/col)
Sun Dec 14 15:26:01 2008  sparse part has weight 3649747 (61.15/col)
Sun Dec 14 15:26:01 2008  saving the first 48 matrix rows for later
Sun Dec 14 15:26:01 2008  matrix is 59569 x 59681 (9.5 MB) with weight 2881639 (48.28/col)
Sun Dec 14 15:26:01 2008  sparse part has weight 2126116 (35.62/col)
Sun Dec 14 15:26:01 2008  matrix includes 64 packed rows
Sun Dec 14 15:26:01 2008  using block size 23872 for processor cache size 1024 kB
Sun Dec 14 15:26:01 2008  commencing Lanczos iteration
Sun Dec 14 15:26:01 2008  memory use: 9.2 MB
Sun Dec 14 15:26:22 2008  lanczos halted after 944 iterations (dim = 59567)
Sun Dec 14 15:26:22 2008  recovered 16 nontrivial dependencies
Sun Dec 14 15:26:23 2008  prp37 factor: 2456479326290440166586254085782156353
Sun Dec 14 15:26:23 2008  prp54 factor: 933180006098833852846401252904487652104420827030262863
Sun Dec 14 15:26:23 2008  elapsed time 01:06:16

3969004213911115832399525563866560304543853158222744089491700975143688785806496283323827500714309382345887375134863665890445083117888155800692484226897608071<157>

671579014769319852470480752727399003<36>
5909958659554640741535007471124761361498957478297418163309912416636857421100154094569113223106541752187868302557801388357<121>

SNFS difficulty: 169 digits.
Divisors found:
 r1=671579014769319852470480752727399003 (pp36)
 r2=5909958659554640741535007471124761361498957478297418163309912416636857421100154094569113223106541752187868302557801388357 (pp121)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.593).
Factorization parameters were as follows:
n: 3969004213911115832399525563866560304543853158222744089491700975143688785806496283323827500714309382345887375134863665890445083117888155800692484226897608071
m: 2000000000000000000000000000000000
deg: 5
c5: 925
c0: 568
skew: 0.91
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2350000, 5250001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 916149 x 916397
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
total time: 50.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

3311415732112391287738101683372598105428038423033309141903034921744912055103288357990075612738788254942122899776896810134302853208528056510243211966237<151>

37501399965585490651118726058947<32>
88301123028773088784112825094403290394334942803635440323854002374944693073141336324975710529936256947568638512598023071<119>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1399304808
Step 1 took 11746ms
Step 2 took 6891ms
********** Factor found in step 2: 37501399965585490651118726058947
Found probable prime factor of 32 digits: 37501399965585490651118726058947
Probable prime cofactor 88301123028773088784112825094403290394334942803635440323854002374944693073141336324975710529936256947568638512598023071 has 119 digits

GMP-ECM 6.2.1

1862963462738177997469441912533125084737017632225748137647767328895230043809231081922385833611314256025924897557779693931<121>

721930026682008860612700977009297988939291840349<48>
2580531899054483124131152820897988408963237137415384582028726150021967719<73>

Number: n
N=1862963462738177997469441912533125084737017632225748137647767328895230043809231081922385833611314256025924897557779693931
  ( 121 digits)
SNFS difficulty: 171 digits.
Divisors found:

Sun May 10 04:20:09 2009  prp48 factor: 721930026682008860612700977009297988939291840349
Sun May 10 04:20:09 2009  prp73 factor: 2580531899054483124131152820897988408963237137415384582028726150021967719
Sun May 10 04:20:09 2009  elapsed time 01:41:26 (Msieve 1.39 - dependency 3)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 57.52 hours.
Scaled time: 152.36 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_4_1_169_9
n: 1862963462738177997469441912533125084737017632225748137647767328895230043809231081922385833611314256025924897557779693931
m: 10000000000000000000000000000000000
deg: 5
c5: 37
c0: 71
skew: 1.14
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2550000, 5792069)
Primes: RFBsize:354971, AFBsize:354642, largePrimes:17447566 encountered
Relations: rels:17068184, finalFF:682228
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2051048 hash collisions in 18743090 relations
Msieve: matrix is 923424 x 923672 (246.2 MB)

Total sieving time: 56.83 hours.
Total relation processing time: 0.68 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,28,28,56,56,2.4,2.4,100000
total time: 57.52 hours.
 --------- CPU info (if available) ----------

10110890065643541273876685037705613811147665442907802879999742534726910408194518400360771008434790950557690584517<113>

27453836811193533274952439583072078790856233791<47>
368286958765672743643689545618535973113755495971514753154648801787<66>

Number: 41119_175
N=10110890065643541273876685037705613811147665442907802879999742534726910408194518400360771008434790950557690584517
  ( 113 digits)
Divisors found:
 r1=27453836811193533274952439583072078790856233791
 r2=368286958765672743643689545618535973113755495971514753154648801787
Version: 
Total time: 17.05 hours.
Scaled time: 40.67 units (timescale=2.385).
Factorization parameters were as follows:
name: 41119_175
n: 10110890065643541273876685037705613811147665442907802879999742534726910408194518400360771008434790950557690584517
skew: 31984.13
# norm 1.63e+15
c5: 30360
c4: 1656856535
c3: -70094780515248
c2: -2243626268782858410
c1: 50520317420498134325496
c0: -50669818649517852164082573
# alpha -5.19
Y1: 1865253410543
Y0: -3195175792034622680434
# Murphy_E 7.24e-10
# M 5786324711396589223504645891167661672681231097769903942441373431869606174401351108406813980815335802242941075202
type: gnfs
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [1200000, 2160001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8619601
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 412092 x 412340
Polynomial selection time: 1.04 hours.
Total sieving time: 14.87 hours.
Total relation processing time: 0.63 hours.
Matrix solve time: 0.36 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,27,27,51,51,2.6,2.6,60000
total time: 17.05 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)

GGNFS-0.77.1-20050930-nocona / Msieve v1.39

Core 2 Quad Q6700

172299531963867538294540379039268438801836455870012335893847000168090302736140160901427832980881798834507312208313659177474569270441302121<138>

47573256735105102134774568941200081<35>

3621772899073458445059701652864566407076358975646712173315673909567467074401737345715255403591778914841<103>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=721560188
Step 1 took 9244ms
Step 2 took 4985ms
********** Factor found in step 2: 47573256735105102134774568941200081
Found probable prime factor of 35 digits: 47573256735105102134774568941200081
Composite cofactor has 103 digits

GMP-ECM 6.2.1

3621772899073458445059701652864566407076358975646712173315673909567467074401737345715255403591778914841<103>

10427180460429420252723196144751715523<38>
347339620026515181041293360623135033853462919353750340536712007667<66>

Number: 41119_181
N=3621772899073458445059701652864566407076358975646712173315673909567467074401737345715255403591778914841
  ( 103 digits)
Divisors found:
 r1=10427180460429420252723196144751715523 (pp38)
 r2=347339620026515181041293360623135033853462919353750340536712007667 (pp66)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 4.29 hours.
Scaled time: 10.21 units (timescale=2.382).
Factorization parameters were as follows:
name: 41119_181
n: 3621772899073458445059701652864566407076358975646712173315673909567467074401737345715255403591778914841
skew: 9782.55
# norm 4.14e+14
c5: 73080
c4: -2514835704
c3: 8790142461548
c2: 263294977153601755
c1: 196917554526018178456
c0: -2679866085058324682790127
# alpha -6.43
Y1: 7813826537
Y0: -34595945979182260752
# Murphy_E 2.51e-09
# M 1396009132050224762205095102224607140116956259471065740878701764748997185483488045420616203276518767234
type: gnfs
rlim: 1400000
alim: 1400000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved algebraic special-q in [700000, 1350001)
Primes: RFBsize:107126, AFBsize:107413, largePrimes:4760133 encountered
Relations: rels:4585963, finalFF:244161
Max relations in full relation-set: 28
Initial matrix: 214630 x 244161 with sparse part having weight 22152773.
Pruned matrix : 200512 x 201649 with weight 15853660.
Polynomial selection time: 0.25 hours.
Total sieving time: 3.76 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1400000,1400000,26,26,50,50,2.6,2.6,50000
total time: 4.29 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)

Core 2 Quad Q6700

34367417761829833762293224269952945663722741524889336179732117514929802374453374627746151384246384234089334910457058791006424657846217233968100019839<149>

8755789092289348926356821244998051583<37>
3925107994217788084008788634318649563433570976255456089438348678247691568468116466972296949254207197157811247233<112>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3972661220
Step 1 took 11736ms
Step 2 took 6719ms
********** Factor found in step 2: 8755789092289348926356821244998051583
Found probable prime factor of 37 digits: 8755789092289348926356821244998051583
Probable prime cofactor has 112 digits

GMP-ECM 6.2.1

3523667916832194734840584640233358548636677053041073227870765517133177574242349019056705290286826108040328225488044190614837254637558808854835476481472641050106039547306783<172>

14414712899570245887642125982326069<35>
244449399816852950964794542084861893340993983939056520635787143753873378251419496422182364760980833556894813998631673192254234757416504707<138>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4291867170
Step 1 took 24476ms
Step 2 took 14149ms
********** Factor found in step 2: 14414712899570245887642125982326069
Found probable prime factor of 35 digits: 14414712899570245887642125982326069
Probable prime cofactor 244449399816852950964794542084861893340993983939056520635787143753873378251419496422182364760980833556894813998631673192254234757416504707 has 138 digits

GMP-ECM 6.3

131223821734211468962019570082387280510425200648316611162536662871815605704334996683938558878710176230045999269402506020336145779026177379141086887902936930994002716687768875837438511<183>

55044224415250538928921553264661339723266003429<47>
2383970764021785908203194996945240916853952320935449385966474798602815965953926289351897727903544055041607935420772339895475891591817859<136>

Number: n
N=131223821734211468962019570082387280510425200648316611162536662871815605704334996683938558878710176230045999269402506020336145779026177379141086887902936930994002716687768875837438511
  ( 183 digits)
SNFS difficulty: 187 digits.
Divisors found:

Mon Dec 22 05:04:18 2008  prp47 factor: 55044224415250538928921553264661339723266003429
Mon Dec 22 05:04:18 2008  prp136 factor: 2383970764021785908203194996945240916853952320935449385966474798602815965953926289351897727903544055041607935420772339895475891591817859
Mon Dec 22 05:04:19 2008  elapsed time 06:55:19 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 93.76 hours.
Scaled time: 192.30 units (timescale=2.051).
Factorization parameters were as follows:
name: KA_4_1_185_9
n: 131223821734211468962019570082387280510425200648316611162536662871815605704334996683938558878710176230045999269402506020336145779026177379141086887902936930994002716687768875837438511
type: snfs
skew: 0.72
deg: 5
c5: 370
c0: 71
m: 10000000000000000000000000000000000000
rlim: 8800000
alim: 8800000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 5700001)
Primes: RFBsize:590006, AFBsize:589651, largePrimes:33470457 encountered
Relations: rels:31004910, finalFF:1017105
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7398741 hash collisions in 38005293 relations
Msieve: matrix is 1645242 x 1645490 (446.2 MB)

Total sieving time: 91.92 hours.
Total relation processing time: 1.84 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,8800000,8800000,29,29,58,58,2.5,2.5,100000
total time: 93.76 hours.
 --------- CPU info (if available) ----------

11874152349729548439501935056011160926636349249446310636295954858461867982975224797342705352881541617233788338702883256935737294557<131>

469202909278931356117976919565489527769<39>
25307073155146640842672255497156160022227569263192069413856806792430390779517568555111001253<92>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3909651050
Step 1 took 38287ms
Step 2 took 14195ms
********** Factor found in step 2: 469202909278931356117976919565489527769
Found probable prime factor of 39 digits: 469202909278931356117976919565489527769
Probable prime cofactor 25307073155146640842672255497156160022227569263192069413856806792430390779517568555111001253 has 92 digits

GMP-ECM 6.2.1

128467096238546200304766569266584601587882614603111684656171456499509666609792093746354110983402924362311707679747829568780081543952039<135>

212701168919350413905277342431524469920284861520975079811067<60>
603979267679797651948663957793802892561648781450765852665736068318865051717<75>

Number: n
N=128467096238546200304766569266584601587882614603111684656171456499509666609792093746354110983402924362311707679747829568780081543952039
  ( 135 digits)
Divisors found:

Thu May 31 02:17:14 2012  prp60 factor: 212701168919350413905277342431524469920284861520975079811067
Thu May 31 02:17:14 2012  prp75 factor: 603979267679797651948663957793802892561648781450765852665736068318865051717
Thu May 31 02:17:14 2012  elapsed time 03:44:57 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.093).
Factorization parameters were as follows:
name: KA_41119_188
n: 128467096238546200304766569266584601587882614603111684656171456499509666609792093746354110983402924362311707679747829568780081543952039
skew: 127933.88
# norm 1.45e+18
c5: 99960
c4: -291270784970
c3: 3886334492753222
c2: 4619198947789660736434
c1: -244526750144412647444911461
c0: -391337574498170706475733858577
# alpha -5.27
Y1: 1505088098251133
Y0: -66343575578317964251041836
# Murphy_E 4.07e-11
# M 17970799784823131000136697650676028592031436508845472020412209918134699239630193059317530149965365718231832092446840934664316977155017
type: gnfs
rlim: 20000000
alim: 20000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 17080000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2607025 hash collisions in 27215712 relations (25705238 unique)
Msieve: matrix is 1445211 x 1445438 (413.9 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,134,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,20000000,20000000,28,28,55,55,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 4015340k/5242880k available (3972k kernel code, 1049604k absent, 177936k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.88 BogoMIPS (lpj=2830943)
Calibrating delay using timer specific routine.. 5660.88 BogoMIPS (lpj=2830444)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Total of 4 processors activated (22644.60 BogoMIPS).

3317804105885815111859852352208620216898263051861924724054230041281581828050110800639947154808615565859297227514633425772857619877209244625046661757469373092365635363<166>

11195024094425271484868431406339042330441669199934476728917982066954175071<74>
296364177325707136446537938789998764179372786396640840335477723602486798477674074051363934653<93>

3317804105885815111859852352208620216898263051861924724054230041281581828050110800639947154808615565859297227514633425772857619877209244625046661757469373092365635363=11195024094425271484868431406339042330441669199934476728917982066954175071*296364177325707136446537938789998764179372786396640840335477723602486798477674074051363934653

n: 3317804105885815111859852352208620216898263051861924724054230041281581828050110800639947154808615565859297227514633425772857619877209244625046661757469373092365635363
skew: 0.90
type: snfs
c0: 355
c5: 592
Y0: 50000000000000000000000000000000000000
Y1: -1
# f(x) = 592*x^5+355
# g(x) = -x+50000000000000000000000000000000000000

Info:Square Root: Factors: 11195024094425271484868431406339042330441669199934476728917982066954175071 296364177325707136446537938789998764179372786396640840335477723602486798477674074051363934653
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.68/2.00524
Info:Generate Free Relations: Total cpu/real time for freerel: 102.46/26.1855
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28629934
Info:Lattice Sieving: Average J: 1894.31 for 3925109 special-q, max bucket fill -bkmult 1.0,1s:1.084180
Info:Lattice Sieving: Total time: 804342s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 59.19/63.8102
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 63.400000000000006s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 475.11/299.862
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 258.1s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 390.64/232.072
Info:Filtering - Merging: Total cpu/real time for merge: 335.4/97.2766
Info:Filtering - Merging: Total cpu/real time for replay: 94.03/81.5107
Info:Linear Algebra: Total cpu/real time for bwc: 105875/27116.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 17305.74, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (77312 iterations)
Info:Linear Algebra: Lingen CPU time 503.28, WCT time 145.67
Info:Linear Algebra: Mksol: WCT time 9423.89, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (38912 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 86.18/36.1974
Info:Square Root: Total cpu/real time for sqrt: 1299.29/395.293
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.63095e+06/833947
Info:root: Cleaning up computation data in /tmp/cado._6payig1
11195024094425271484868431406339042330441669199934476728917982066954175071 296364177325707136446537938789998764179372786396640840335477723602486798477674074051363934653

cado-nfs-3.0.0

Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

215377750680768605224898382847254984112986433920591014315670949213423977795749859043553204159606954456358518070232261705696009851395881649179091833963562605337024048001091524130259<180>

12216985699090997313514879660877801892525288970597<50>
10803140022678599182715651193365422078330070140808403489887663<62>
1631874538707041386836107870356604220882150996938924677241007150145369<70>

N=215377750680768605224898382847254984112986433920591014315670949213423977795749859043553204159606954456358518070232261705696009851395881649179091833963562605337024048001091524130259
  ( 180 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=12216985699090997313514879660877801892525288970597 (pp50)
 r2=10803140022678599182715651193365422078330070140808403489887663 (pp62)
 r3=1631874538707041386836107870356604220882150996938924677241007150145369 (pp70)
Version: Msieve v. 1.46
Total time:
Scaled time: 55.34 units (timescale=1.302).
Factorization parameters were as follows:
n: 215377750680768605224898382847254984112986433920591014315670949213423977795749859043553204159606954456358518070232261705696009851395881649179091833963562605337024048001091524130259
m: 100000000000000000000000000000000000000
deg: 5
c5: 37
c0: 71
skew: 1.14
type: snfs
lss: 1
rlim: 10900000
alim: 10900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 10900000/10900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5450000, 19450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2389991 x 2390215
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,191.000,5,0,0,0,0,0,0,0,0,10900000,10900000,28,28,54,54,2.5,2.5,100000
total time:

1648630184525042797133965917673053648865888212984839605137875203970451648789116914569051571<91>

4636700600036784458682270386851<31>
355561060921631143485837742682771800699261664861095825932721<60>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2648465071
Step 1 took 5340ms
Step 2 took 3444ms
********** Factor found in step 2: 4636700600036784458682270386851
Found probable prime factor of 31 digits: 4636700600036784458682270386851
Probable prime cofactor 355561060921631143485837742682771800699261664861095825932721 has 60 digits

GMP-ECM 6.2.1

791966087892872994905509416886435358081701515425041049838820719631504844654133563459703511518458201345413928341635785570037109529416346931394606575504523<153>

7590690876337436335686621759791<31>

104333861145851641332524267483514811395721107982807617312384858364100696592011759800416745004248697924636939449966193271653<123>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3439223145
Step 1 took 9237ms
Step 2 took 5184ms
********** Factor found in step 2: 7590690876337436335686621759791
Found probable prime factor of 31 digits: 7590690876337436335686621759791
Composite cofactor has 123 digits

GMP-ECM 6.2.1

104333861145851641332524267483514811395721107982807617312384858364100696592011759800416745004248697924636939449966193271653<123>

12689133514263467130577716351690146927441657627153<50>
8222299893729791483441854911572970421842011419673633184844616755425556501<73>

Number: 41119_194
N=104333861145851641332524267483514811395721107982807617312384858364100696592011759800416745004248697924636939449966193271653
  ( 123 digits)
Divisors found:
 r1=12689133514263467130577716351690146927441657627153 (pp50)
 r2=8222299893729791483441854911572970421842011419673633184844616755425556501 (pp73)
Version: Msieve-1.39
Total time: 52.43 hours.
Scaled time: 134.81 units (timescale=2.571).
Factorization parameters were as follows:
# Murphy_E = 2.261027e-10, selected by Jeff Gilchrist
n: 104333861145851641332524267483514811395721107982807617312384858364100696592011759800416745004248697924636939449966193271653
Y0: -358902855847175299483599
Y1: 12722330017853
c0: -67487540322810138587241212720
c1: -1928877254811875151103060
c2: 9917690775179473736
c3: -365384477507579
c4: 7519778430
c5: 17520
skew: 108467.52
type: gnfs
# selected mechanically
rlim: 6000000
alim: 6000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [3000000, 5460001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 872357 x 872605
Total sieving time: 52.43 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,122,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6000000,6000000,27,27,52,52,2.5,2.5,60000
total time: 52.43 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

794324748423142768614170490739890881194224696261839866009570383432874228075099289428830093386632826025502488408293073261408357294499786730949893327069463146135749055391232580244809<180>

2450016983244960343376200468679<31>

324211935613233135510755071528084489947422054060634139633546393659957487226795682741016274539652285925049436071103008421381656621387039362598589743471<150>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=45812530
Step 1 took 12433ms
Step 2 took 6316ms
********** Factor found in step 2: 2450016983244960343376200468679
Found probable prime factor of 31 digits: 2450016983244960343376200468679
Composite cofactor has 150 digits

GMP-ECM 6.2.1

324211935613233135510755071528084489947422054060634139633546393659957487226795682741016274539652285925049436071103008421381656621387039362598589743471<150>

608540244839183191445618950678523477370312388095766813645346892599165059<72>
532769916801330852365447440342507732648800050466280083909817325985099025141669<78>

p72 factor: 608540244839183191445618950678523477370312388095766813645346892599165059
p78 factor: 532769916801330852365447440342507732648800050466280083909817325985099025141669


Msieve v. 1.54 (SVN 1034)
random seeds: 210faf57 79782bab
factoring 324211935613233135510755071528084489947422054060634139633546393659957487226795682741016274539652285925049436071103008421381656621387039362598589743471 (150 digits)
searching for 15-digit factors
commencing number field sieve (150-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 71
A1: 0
A2: 0
A3: 0
A4: 0
A5: 37
skew 1.00, size 8.421e-14, alpha 1.011, combined = 1.809e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 2266661 hash collisions in 36456535 relations
added 727151 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37183686 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1233.9 MB
keeping 40103406 ideals with weight <= 200, target excess is 195655
commencing in-memory singleton removal
begin with 37183686 relations and 40103406 unique ideals
reduce to 14034120 relations and 12966769 ideals in 13 passes
max relations containing the same ideal: 107
removing 2168942 relations and 1768942 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11865178 relations and 12966769 unique ideals
reduce to 11574643 relations and 10896377 ideals in 11 passes
max relations containing the same ideal: 95
removing 1754927 relations and 1354927 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9819716 relations and 10896377 unique ideals
reduce to 9583299 relations and 9296583 ideals in 9 passes
max relations containing the same ideal: 82
removing 382467 relations and 322711 ideals in 59756 cliques
commencing in-memory singleton removal
begin with 9200832 relations and 9296583 unique ideals
reduce to 9189219 relations and 8962197 ideals in 6 passes
max relations containing the same ideal: 79
relations with 0 large ideals: 3984
relations with 1 large ideals: 7458
relations with 2 large ideals: 68085
relations with 3 large ideals: 350636
relations with 4 large ideals: 1080028
relations with 5 large ideals: 2070852
relations with 6 large ideals: 2600227
relations with 7+ large ideals: 3007949
commencing 2-way merge
reduce to 5701603 relation sets and 5474581 unique ideals
commencing full merge
memory use: 652.9 MB
found 2680385 cycles, need 2656781
weight of 2656781 cycles is about 239276525 (90.06/cycle)
distribution of cycle lengths:
1 relations: 231591
2 relations: 235598
3 relations: 243036
4 relations: 232867
5 relations: 222758
6 relations: 204384
7 relations: 188708
8 relations: 168620
9 relations: 150841
10+ relations: 778378
heaviest cycle: 27 relations
commencing cycle optimization
start with 19432547 relations
pruned 649016 relations
memory use: 574.9 MB
distribution of cycle lengths:
1 relations: 231591
2 relations: 241224
3 relations: 252458
4 relations: 240620
5 relations: 230770
6 relations: 210726
7 relations: 193712
8 relations: 171954
9 relations: 153436
10+ relations: 730290
heaviest cycle: 26 relations
RelProcTime: 1013
elapsed time 00:16:54


Msieve v. 1.54 (SVN 1034)
random seeds: 527f3691 0b78d48f
factoring 324211935613233135510755071528084489947422054060634139633546393659957487226795682741016274539652285925049436071103008421381656621387039362598589743471 (150 digits)
searching for 15-digit factors
commencing number field sieve (150-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 71
A1: 0
A2: 0
A3: 0
A4: 0
A5: 37
skew 1.00, size 8.421e-14, alpha 1.011, combined = 1.809e-11 rroots = 1

commencing linear algebra
read 2656781 cycles
cycles contain 9034128 unique relations
read 9034128 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1139.9 MB
read 2656781 cycles
matrix is 2656604 x 2656781 (976.7 MB) with weight 284997578 (107.27/col)
sparse part has weight 226807474 (85.37/col)
filtering completed in 2 passes
matrix is 2655894 x 2656071 (976.6 MB) with weight 284973442 (107.29/col)
sparse part has weight 226799455 (85.39/col)
matrix starts at (0, 0)
matrix is 2655894 x 2656071 (976.6 MB) with weight 284973442 (107.29/col)
sparse part has weight 226799455 (85.39/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2655846 x 2656071 (927.9 MB) with weight 234333802 (88.23/col)
sparse part has weight 216672456 (81.58/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 882.6 MB
linear algebra at 0.1%, ETA 3h24m
checkpointing every 810000 dimensions
lanczos halted after 42001 iterations (dim = 2655846)
recovered 38 nontrivial dependencies
BLanczosTime: 12367
elapsed time 03:26:08


Msieve v. 1.54 (SVN 1034)
random seeds: 674a5d59 d11082b8
factoring 324211935613233135510755071528084489947422054060634139633546393659957487226795682741016274539652285925049436071103008421381656621387039362598589743471 (150 digits)
searching for 15-digit factors
commencing number field sieve (150-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 71
A1: 0
A2: 0
A3: 0
A4: 0
A5: 37
skew 1.00, size 8.421e-14, alpha 1.011, combined = 1.809e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1327206 cycles
cycles contain 4514108 unique relations
read 4514108 relations
multiplying 4514108 relations
multiply complete, coefficients have about 125.37 million bits
initial square root is modulo 996431581
sqrtTime: 233
p72 factor: 608540244839183191445618950678523477370312388095766813645346892599165059
p78 factor: 532769916801330852365447440342507732648800050466280083909817325985099025141669
elapsed time 00:03:54

CADO-NFS/Msieve

165210331933804151065703314956827723070692735142172668005817703145538579361744135321852247971054347917295510092761351977914024720360200810253200626232193578515438765832208252491423<180>

4007068634445294392090860841845661531<37>

41229723522485785900737267283652875222914902354213764839543425664314235676323349260120583084770214873497363927134595928945531191815233850993933<143>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1351209639
Step 1 took 15869ms
Step 2 took 6360ms
********** Factor found in step 2: 4007068634445294392090860841845661531
Found probable prime factor of 37 digits: 4007068634445294392090860841845661531
Composite cofactor

41229723522485785900737267283652875222914902354213764839543425664314235676323349260120583084770214873497363927134595928945531191815233850993933<143>

162415319689585004850793534138290338661600438006135907300851831409<66>
253853661103433893309867575162031974190640059006668956451416637916782388550237<78>

41229723522485785900737267283652875222914902354213764839543425664314235676323349260120583084770214873497363927134595928945531191815233850993933=162415319689585004850793534138290338661600438006135907300851831409*253853661103433893309867575162031974190640059006668956451416637916782388550237

n: 41229723522485785900737267283652875222914902354213764839543425664314235676323349260120583084770214873497363927134595928945531191815233850993933
skew: 147805.776
c0: -42849961406001838916519465580000
c1: -61124768875526071402640700
c2: 12196889976152926240205
c3: -19140036624246143
c4: 188942223156
c5: 564480
Y0: -3110824938703227546210150802
Y1: 26682533925957501101
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 2.06e-07
# found by revision 7f9c8bd19
# f(x) = 564480*x^5+188942223156*x^4-19140036624246143*x^3+12196889976152926240205*x^2-61124768875526071402640700*x-42849961406001838916519465580000
# g(x) = 26682533925957501101*x-3110824938703227546210150802

Info:Square Root: Factors: 253853661103433893309867575162031974190640059006668956451416637916782388550237 162415319689585004850793534138290338661600438006135907300851831409
Info:Square Root: Total cpu/real time for sqrt: 20446.2/2941.6
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78281/42.150/51.403/57.220/0.948
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 78281/41.000/45.976/52.080/1.221
Info:Polynomial Selection (size optimized): Total time: 39373.2
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2014.57
Info:Polynomial Selection (root optimized): Rootsieve time: 2013.6
Info:Generate Factor Base: Total cpu/real time for makefb: 54.85/40.3354
Info:Generate Free Relations: Total cpu/real time for freerel: 1319.59/846.111
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 47747042
Info:Lattice Sieving: Average J: 3775.69 for 961495 special-q, max bucket fill -bkmult 1.0,1s:1.223210
Info:Lattice Sieving: Total time: 481451s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 343.61/360.217
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 358.80000000000007s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 2930.04/1732.94
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1442.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 2644.71/1565.71
Info:Filtering - Merging: Total cpu/real time for merge: 4879.09/4523.36
Info:Filtering - Merging: Total cpu/real time for replay: 505.51/474.417
Info:Linear Algebra: Total cpu/real time for bwc: 53968.8/14971.7
Warning:Linear Algebra: some stats could not be displayed for linalg (see log file for debug info)
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Mksol: WCT time 14944.55, iteration CPU time 0.56, COMM 0.01, cpu-wait 0.05, comm-wait 0.0 (51000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 196.46/53.534
Info:Square Root: Total cpu/real time for sqrt: 20446.2/2941.6
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.01539e+06/642265
253853661103433893309867575162031974190640059006668956451416637916782388550237 162415319689585004850793534138290338661600438006135907300851831409

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)

41973116777725892465284776620870022035466918549803531639228493402981066761392293567309049792510043226799204248247075629916774569169070633080685129551981761225234370488841922287827377<182>

500861323662448902722260596988891733732557<42>

83801872483995802551100465386118328937038747284126226258046218978935635315763018178087121113833396836517500082384692383172729293909475590261<140>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=4294518377
Step 1 took 55282ms
Step 2 took 28706ms
********** Factor found in step 2: 500861323662448902722260596988891733732557
Found probable prime factor of 42 digits: 500861323662448902722260596988891733732557
Composite cofactor

83801872483995802551100465386118328937038747284126226258046218978935635315763018178087121113833396836517500082384692383172729293909475590261<140>

1138840203861073002678902434374138531083731784663682485197943816447<67>
73585277548050792390089117948742818079900604939854876260871394238102260363<74>

83801872483995802551100465386118328937038747284126226258046218978935635315763018178087121113833396836517500082384692383172729293909475590261=1138840203861073002678902434374138531083731784663682485197943816447*73585277548050792390089117948742818079900604939854876260871394238102260363

Info:Square Root: Factors: 73585277548050792390089117948742818079900604939854876260871394238102260363 1138840203861073002678902434374138531083731784663682485197943816447
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): 66261/41.320/50.380/55.680/0.950
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66261/40.860/45.157/51.050/1.305
Info:Polynomial Selection (size optimized): Total time: 45652.8
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 8520.47
Info:Polynomial Selection (root optimized): Rootsieve time: 8518.3
Info:Generate Factor Base: Total cpu/real time for makefb: 23.57/14.9495
Info:Generate Free Relations: Total cpu/real time for freerel: 881.07/489.769
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 33487559
Info:Lattice Sieving: Average J: 3788.48 for 956539 special-q, max bucket fill -bkmult 1.0,1s:1.081530
Info:Lattice Sieving: Total time: 1.34163e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 149.45/365.345
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 364.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1018.52/947.087
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 850.0999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 687.02/875.728
Info:Filtering - Merging: Total cpu/real time for merge: 1392.26/1293.46
Info:Filtering - Merging: Total cpu/real time for replay: 101.66/80.9067
Info:Linear Algebra: Total cpu/real time for bwc: 154523/31061.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 22305.97, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.06, comm-wait 0.0 (63000 iterations)
Info:Linear Algebra: Lingen CPU time 737.45, WCT time 158.03
Info:Linear Algebra: Mksol: WCT time 8148.76, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (32000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 86.1/20.4896
Info:Square Root: Total cpu/real time for sqrt: 6483.23/922.518
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.53606e+06/267953
Info:root: Cleaning up computation data in /tmp/cado.1x9iq05w
73585277548050792390089117948742818079900604939854876260871394238102260363 1138840203861073002678902434374138531083731784663682485197943816447

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)

2937845650309348894057676993617851093060789986700233888073517946602559419981213759548356483048639649965280767928553864736122446516690165124001559120292497400939<160>

240415440947317746742029988668383<33>
12219870898197088877898626768426211369986433162099804061070145673200443592688273807744355365435476148474134453244176088463782133<128>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=939060094
Step 1 took 10797ms
Step 2 took 5572ms
********** Factor found in step 2: 240415440947317746742029988668383
Found probable prime factor of 33 digits: 240415440947317746742029988668383
Probable prime cofactor 12219870898197088877898626768426211369986433162099804061070145673200443592688273807744355365435476148474134453244176088463782133 has 128 digits

GMP-ECM 6.2.1

557996763220494791865043648208267549475361046027286020112659991015517340501059182896084115350542136867300913840138604561684723784070741934390134573694072427412957432627964602347977<180>

2413199915350354273267041699882826892903615513773263561753791898837383<70>
231226911484241228034437310305568828754779517129856729860524432333911577007029758427152663045270050798080271919<111>

Number: n
N=557996763220494791865043648208267549475361046027286020112659991015517340501059182896084115350542136867300913840138604561684723784070741934390134573694072427412957432627964602347977  ( 180 digits)
SNFS difficulty: 206 digits.
Divisors found:

Thu Nov  4 03:47:56 2021  p70 factor: 2413199915350354273267041699882826892903615513773263561753791898837383
Thu Nov  4 03:47:56 2021  p111 factor: 231226911484241228034437310305568828754779517129856729860524432333911577007029758427152663045270050798080271919
Thu Nov  4 03:47:56 2021  elapsed time 03:00:58 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 37x10^204+71 = 41(203)9
#
n: 557996763220494791865043648208267549475361046027286020112659991015517340501059182896084115350542136867300913840138604561684723784070741934390134573694072427412957432627964602347977
m: 50000000000000000000000000000000000000000
deg: 5
c5: 592
c0: 355
skew: 0.90
# Murphy_E = 6.063e-12
type: snfs
lss: 1
rlim: 19200000
alim: 19200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19200000/19200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 58400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 11929025 hash collisions in 67530777 relations (56836374 unique)
Msieve: matrix is 2777935 x 2778160 (957.0 MB)

Sieving start time : 2021/11/03 00:53:46
Sieving end time  : 2021/11/04 00:05:51

Total sieving time: 23hrs 12min 5secs.

Total relation processing time: 2hrs 40min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 32sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19200000,19200000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

42812361266539760826114845542787113583435022284035032497722518824316362561469830665747518380351123486817527655906652736082167040880689016685819089135773593105877912864802407956628655887491<188>

811192614843691594162179215721103<33>
52777059952387829531805686963212177397005658748073113430271392340308625968747192771664150630058513871014711473629321309366475928080999258279957374370363597<155>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2220468459
Step 1 took 15901ms
Step 2 took 8896ms
********** Factor found in step 2: 811192614843691594162179215721103
Found probable prime factor of 33 digits: 811192614843691594162179215721103
Probable prime cofactor has 155 digits

GMP-ECM 6.2.1

31376783479876028125118080139556255692393503022561686338219163454228382046120472080442429931592738518665053009341244702985563993813131820052453770049274408958969824478134350030675029<182>

1401791126131097133597005631701569762380311<43>

22383351481525668400896822095778831888740843089396893729166289188138257627077704217070420743582605597105569892118783857859968495782992333939<140>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4196802412
Step 1 took 15809ms
Step 2 took 6366ms
********** Factor found in step 2: 1401791126131097133597005631701569762380311
Found probable prime factor of 43 digits: 1401791126131097133597005631701569762380311
Composite cofactor

22383351481525668400896822095778831888740843089396893729166289188138257627077704217070420743582605597105569892118783857859968495782992333939<140>

293171117481409652544412384902614622460316507523838174170329<60>
76349101759469961192638235913027892058262520545705965129065167577713591721346091<80>

Number: 41119_208
N = 22383351481525668400896822095778831888740843089396893729166289188138257627077704217070420743582605597105569892118783857859968495782992333939 (140 digits)
Divisors found:
r1=293171117481409652544412384902614622460316507523838174170329 (pp60)
r2=76349101759469961192638235913027892058262520545705965129065167577713591721346091 (pp80)
Version: Msieve v. 1.51 (SVN 845)
Total time: 351.19 hours.
Factorization parameters were as follows:
# Murphy_E = 2.32243391e-11, selected by Maksym Voznyy
# root optimized by CADO-NFS-2.2.0
n: 22383351481525668400896822095778831888740843089396893729166289188138257627077704217070420743582605597105569892118783857859968495782992333939
Y0: -1249678542552598130674359922
Y1: 503948188870657
c0: 3064330077841689593939802230267655
c1: 8662765796665370634070507364
c2: -32779242583238860524087
c3: -42751316273269192
c4: 36975825748
c5: 7344
skew: 993361.24466
type: gnfs
# selected mechanically
rlim: 17500000
alim: 17500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17500000/17500000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23110265
Relations: 3178358 relations
Pruned matrix : 2005784 x 2006010
Polynomial selection time: 0.00 hours.
Total sieving time: 346.66 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 4.02 hours.
time per square root: 0.32 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,17500000,17500000,28,28,55,55,2.6,2.6,100000
total time: 351.19 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz

GGNFS; Msieve

30337296778664547380197227740256842129447079109265282259470722313717760368055534429281948682088366334890810036250204761374115129713167995720560774831415415730171198907<167>

1779440120159874136973722715011583759<37>

17048787669201752720476681113312113946810074137223780942329430393488243705113525734214566867249684228104265448244676925998147495573<131>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1943817623
Step 1 took 28461ms
Step 2 took 11379ms
********** Factor found in step 2: 1779440120159874136973722715011583759
Found probable prime factor of 37 digits: 1779440120159874136973722715011583759

17048787669201752720476681113312113946810074137223780942329430393488243705113525734214566867249684228104265448244676925998147495573<131>

7384736864822011596180812233124295281199329234567<49>
2308652018518829920181156457194538621282623143531801350818088892365537499081436419<82>

N = 17048787669201752720476681113312113946810074137223780942329430393488243705113525734214566867249684228104265448244676925998147495573 (131 digits)
Divisors found:
r1=7384736864822011596180812233124295281199329234567 (pp49)
r2=2308652018518829920181156457194538621282623143531801350818088892365537499081436419 (pp82)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 25.78 hours.
Factorization parameters were as follows:
n: 17048787669201752720476681113312113946810074137223780942329430393488243705113525734214566867249684228104265448244676925998147495573
Y0: -30152789448671542078725947
Y1: 13028850038983
c0: 136361183509784807531331872064000
c1: -663470090774996765912676120
c2: -1629367023436909558102
c3: -188194340670127
c4: -274686880
c5: 684
skew: 982633.87
type: gnfs
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19838819
Relations: 2643006 relations
Pruned matrix : 1470492 x 1470720
Polynomial selection time: 0.00 hours.
Total sieving time: 23.41 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.14 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: gnfs,130,5,65,2000,1e-05,0.28,250,20,50000,3600,7500000,7500000,28,28,55,55,2.5,2.5,100000
total time: 25.78 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

6109339365756332941560079932893520730412380315127627727526477545217186711523485199074739382279807926305946564523573913602802326332091236784536780014921034937417670783086025099404866291<184>

60788701330936725244457339654124533383233366720919721246582824608073480870024665107545238544387644460445193398268410324034992908205175577346698166929435494547931390045938124161905263065636465739<194>

71825345694283742481940730710081165483502910085558398444106293300432228370045280543952654501105814806967427736822571875069208005908911805069962391370100079<155>

64483054649085882729947340734971221114730100782332294471998190980652525472815099854413445990173649666152571612648074455916012566640920004260289540356009261315308638712562616973<176>

165996428680149590166245197063925972855690217147082167586240775950226006041362777954887635812559639494060623852441407776716962178024015654995305781928704274745868045826629<171>

181190333296468962251940328533839<33>

916143955696253079614294047789889616962489078569041827232083925335058442591433523058198500009905433984276613827373386529798050451068909611<138>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=99834440
Step 1 took 7909ms
Step 2 took 5912ms
********** Factor found in step 2: 181190333296468962251940328533839
Found probable prime factor of 33 digits: 181190333296468962251940328533839
Composite cofactor 916143955696253079614294047789889616962489078569041827232083925335058442591433523058198500009905433984276613827373386529798050451068909611 has 138 digits

GMP-ECM 6.3

916143955696253079614294047789889616962489078569041827232083925335058442591433523058198500009905433984276613827373386529798050451068909611<138>

9893604539007355635140506309444643007497<40>
92599613425439335790272442218823239943643670361949518599993603955111710914661241414993218640770963<98>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3144148937
Step 1 took 23432ms
Step 2 took 13650ms
********** Factor found in step 2: 9893604539007355635140506309444643007497
Found probable prime factor of 40 digits: 9893604539007355635140506309444643007497
Probable prime cofactor 92599613425439335790272442218823239943643670361949518599993603955111710914661241414993218640770963 has 98 digits

GMP-ECM 6.3

97625887388901017355918698237858683077357840643986145483775025071009266807116959205034834834591259494602006101194413927706172381285815319349180353042309782679789627<164>

22066356773562889948199374781902279901570000273689023062500524027516845419933977619172713394564953044193999513291433743441124410599164232789112607138175963353652719900266064661433979283363666334796473475354684923<212>

10553300297847184708424498117<29>
2090943700148881911348940650716653508989055913696699029690504793044140222028871057779150854933305259948515345217126482024478454423338016831187328161933581757161999769533211497033277119<184>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3822628325
Step 1 took 15069ms
Step 2 took 8986ms
********** Factor found in step 2: 10553300297847184708424498117
Found probable prime factor of 29 digits: 10553300297847184708424498117
Probable prime cofactor 2090943700148881911348940650716653508989055913696699029690504793044140222028871057779150854933305259948515345217126482024478454423338016831187328161933581757161999769533211497033277119 has 184 digits

GMP-ECM 6.3

10334456614745778245477699830432782592073021989196681072514923164969044110884353819796153213612267226379219425392820554793477998153002602509235035033708499369614335482527964867428223577472072448831<197>

438421098936987657417083449486712851175783076023<48>
115050395670251790468661138191832772731496078706902507<54>
204884018439117082507406661538287743326930654538760352861734937271389993570053571335259909908971<96>

Number: 41119_221
N = 10334456614745778245477699830432782592073021989196681072514923164969044110884353819796153213612267226379219425392820554793477998153002602509235035033708499369614335482527964867428223577472072448831 (197 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=438421098936987657417083449486712851175783076023 (pp48)
r2=115050395670251790468661138191832772731496078706902507 (pp54)
r3=204884018439117082507406661538287743326930654538760352861734937271389993570053571335259909908971 (pp96)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 54.97 hours.
Factorization parameters were as follows:
n: 10334456614745778245477699830432782592073021989196681072514923164969044110884353819796153213612267226379219425392820554793477998153002602509235035033708499369614335482527964867428223577472072448831
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 370
c0: 71
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 9808568 relations
Pruned matrix : 8362031 x 8362256
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 46.30 hours.
Total relation processing time: 0.44 hours.
Matrix solve time: 7.66 hours.
time per square root: 0.58 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 54.97 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

47434258137702055993927458953679901178680602082684557406526879849224104721293684730275871743850561009597623514775311729181018718399531183151659314670153531923498007730007850723209<179>

40782756103225171150827980377366710224737029556942668951503340481438298919914106197618057648431247665934937282001073734625317545544219687264681510908662554370621069188022437276070283017413081<191>

3541616598323439804098685170478428793626937756210892550671104127477175460214871725646743661387003004453133855613421132665357618895671602161916266767907704288696727513549151277159247997247<187>

160701701863411941993242111437285443606716801692198695014917480409759377412975835478472287404656478377578927147599221622205500726577297923127735761306158582763622633420941869831605719622541<189>

14331280937008390209033103695286209606025783419553511678509056004212980289209038692880389173666966392738249751985386317429806272787777192283492788024184678432742711452670806842259073042875653217771<197>

1706372660243772056967893227304021832874007098240014079253148763359288981703755352068402148845421517303627148877692713763237405549673343109345223861932436811870895536456513762159070264759292346209459552721014149809813537239<223>

81567420758756177283717321937647092972172151339481625979489197559191319497444547806867005262560521684727563634617810752451514024723697844480229428587402377117746288994693<170>

30441238200699482913556939608595840155586045772390337944139458085352108006027756007654672532521477372302300457043199325067689760265271737606779814471177210585518843206734351446865753<182>

42365404809068169561509111038932467199940071998291268274150700947071901171950130435504321442030802390876241717421719360435505799928158130728519749310873914593833429348064237731465823779101<188>

1041177272862835882561091062923688399530329194119244746872664928978352410951432587054049195356104942177142530123043556206109647671493275201914884696709974868520014880246208205097220205724522775378573197454793<208>

949927582556226484274454938498438970234325638732459230407540142582112826347232257012129309369906434109091861227211117559479511942670292392548975963086639848926786957107907722774007208767517027242460625311375353093669722871<222>

564661380259596140006406221545571361868491912172212892033533239478472864422304970489230409229522185914263627940052717028324113333967832360964702238529309<153>

3287877754858898101419874217746207<34>
454494608785375572346038243492156859689757958348389<51>
377871108426801009448004358065071050132170917429328068667198734613383<69>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=677139185
Step 1 took 5491ms
Step 2 took 4243ms
********** Factor found in step 2: 3287877754858898101419874217746207
Found probable prime factor of 34 digits: 3287877754858898101419874217746207
Composite cofactor 171740381595735159536805754652924505906653606940689447034535870613830586064887011290836014870423113926004677505135889987 has 120 digits

N = 171740381595735159536805754652924505906653606940689447034535870613830586064887011290836014870423113926004677505135889987 (120 digits)
Divisors found:
r1=454494608785375572346038243492156859689757958348389 (pp51)
r2=377871108426801009448004358065071050132170917429328068667198734613383 (pp69)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 7.85 hours.
Factorization parameters were as follows:
n: 171740381595735159536805754652924505906653606940689447034535870613830586064887011290836014870423113926004677505135889987
Y0: -170613225600687296120952
Y1: 4099348483607
c0: -131692558989647101853394292123
c1: 10118141126837250283156518
c2: 81583999832563076960
c3: -187945937575938
c4: -852268669
c5: 1188
skew: 288317.48 
type: gnfs
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10472340
Relations: 1040962 relations
Pruned matrix : 603989 x 604226
Polynomial selection time: 0.00 hours.
Total sieving time: 7.43 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.33 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: gnfs,119,5,63,2000,2.6e-05,0.28,250,20,50000,3600,4200000,4200000,27,27,53,53,2.5,2.5,100000
total time: 7.85 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

GMP-ECM 6.3

106047486918182644153645038425017118070692401238978584999783605803721005685578372962132735340153046586661003157635576696265380110019968455171864283292390404938029574637797674579242264910634929233365520178687149308842669381482331772142357<237>

152981180014382325224785243832911763<36>

693206098346298077968963993332762323461158725609309966237103211989153961547386481768817060615276045361664145505650098034985071745899597430262515862830075032488931756823431321017822738300011326017037239<201>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=260107646
Step 1 took 52528ms
********** Factor found in step 1: 152981180014382325224785243832911763
Found probable prime factor of 36 digits: 152981180014382325224785243832911763

18512705601258334466483881415948406664797829719619152328137105877951528454190386646181909455410526943306900947838361154082177933896260078985602628112634897206014452458761002524843<179>

157261190742977481375548959090280533<36>

117719480017895144338847264017083018216613338907876203445254364793635685316317831530114117601700407981197325702743339309598478327763833308579071<144>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1357164357
Step 1 took 14689ms
Step 2 took 11157ms
********** Factor found in step 2: 157261190742977481375548959090280533
Found probable prime factor of 36 digits: 157261190742977481375548959090280533
Composite cofactor 117719480017895144338847264017083018216613338907876203445254364793635685316317831530114117601700407981197325702743339309598478327763833308579071 has 144 digits

117719480017895144338847264017083018216613338907876203445254364793635685316317831530114117601700407981197325702743339309598478327763833308579071<144>

8310474160812751246109749481942223273644437284873469321<55>
14165194156187878109835675700237700969555159963100801642678390178281143391885506397639751<89>

Number: 41119_242
N = 117719480017895144338847264017083018216613338907876203445254364793635685316317831530114117601700407981197325702743339309598478327763833308579071 (144 digits)
Divisors found:
r1=8310474160812751246109749481942223273644437284873469321 (pp55)
r2=14165194156187878109835675700237700969555159963100801642678390178281143391885506397639751 (pp89)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 408.60 hours.
Factorization parameters were as follows:
# Murphy_E = 1.324e-11, selected by Rich Dickerson
# expecting poly E from 1.34e-11 to > 1.54e-11
n: 117719480017895144338847264017083018216613338907876203445254364793635685316317831530114117601700407981197325702743339309598478327763833308579071
Y0: -2255117891070274427716287509
Y1: 54402268567163
c0: -116559753272675364868568211052800
c1: 18872550257343093344778066492
c2: -190772691226353311364008
c3: -191711796692331455
c4: 1787901291450
c5: 2018376
skew: 296206.63
type: gnfs
# selected mechanically
rlim: 22000000
alim: 22000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23699678
Relations: 4556212 relations
Pruned matrix : 2844891 x 2845117
Polynomial selection time: 0.00 hours.
Total sieving time: 401.16 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 6.37 hours.
time per square root: 0.82 hours.
Prototype def-par.txt line would be: gnfs,143,5,65,2000,1e-05,0.28,250,20,50000,3600,22000000,22000000,28,28,56,56,2.6,2.6,100000
total time: 408.60 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 8, speed: 3.50GHz

GGNFS, Msieve

21671714634812861042121337753848317300218662271250409517619763587783211571910229238834949017173352408494920888264244717404529492226799333257609431842561992449899393357371142472782753890144873633713044500004920904076285750877<224>

40642055640067041889189778320636739191<38>

533233722888951589604171008452833251545893290000061431671208312473173251344015955153019262366919639348407039974621465314402010844963768015000777576809908097348620629150946380564573407947<186>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=346123107
Step 1 took 11466ms
Step 2 took 1155ms
********** Factor found in step 2: 40642055640067041889189778320636739191
Found probable prime factor of 38 digits: 40642055640067041889189778320636739191
Composite cofactor 533233722888951589604171008452833251545893290000061431671208312473173251344015955153019262366919639348407039974621465314402010844963768015000777576809908097348620629150946380564573407947 has 186 digits

GMP-ECM 6.3

533233722888951589604171008452833251545893290000061431671208312473173251344015955153019262366919639348407039974621465314402010844963768015000777576809908097348620629150946380564573407947<186>

2264744637398836734011499371011<31>
235449822502458828594944630582264562679638061706516584048446937184509615486792531034323328578884234882172534686287391596235166688804218692474138282073249177<156>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3114611594
Step 1 took 10545ms
Step 2 took 6677ms
********** Factor found in step 2: 2264744637398836734011499371011
Found probable prime factor of 31 digits: 2264744637398836734011499371011
Probable prime cofactor 235449822502458828594944630582264562679638061706516584048446937184509615486792531034323328578884234882172534686287391596235166688804218692474138282073249177 has 156 digits

GMP-ECM 6.3

14083972513058741746821844516979082340231896008016437813472394557847400176176652827347542657715519109402118923339838963998473218026277261605314795017917043281623525212133<170>

2513472931107368927844412124819<31>

5603391362903486794660156190214401964026274901472127682076679543249213036688118784598404462628061822092137677979714708250026898490841213607<139>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1430170598
Step 1 took 6520ms
Step 2 took 4774ms
********** Factor found in step 2: 2513472931107368927844412124819
Found probable prime factor of 31 digits: 2513472931107368927844412124819
Composite cofactor 5603391362903486794660156190214401964026274901472127682076679543249213036688118784598404462628061822092137677979714708250026898490841213607 has 139 digits

GMP-ECM 6.3

5603391362903486794660156190214401964026274901472127682076679543249213036688118784598404462628061822092137677979714708250026898490841213607<139>

42007311949704086502537057767807176839709<41>
133390857515770155101229435624268850957097608498046537405361719966452211479510952517203615893656723<99>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4283382794
Step 1 took 20966ms
Step 2 took 14150ms
********** Factor found in step 2: 42007311949704086502537057767807176839709
Found probable prime factor of 41 digits: 42007311949704086502537057767807176839709
Probable prime cofactor 133390857515770155101229435624268850957097608498046537405361719966452211479510952517203615893656723 has 99 digits

GMP-ECM 6.3

429652378589082472528622214114583015916577645513099107931649537172073953486764868272794741005332462274704780374268510815326606328054978596376251568605537015777096771129993190247967997059507034157907165005424861<210>

159883915634875262458089888465844690492827045790321319137370099720030300162606263387577192602646554134317181168785992786210574030790185201749735003212802466879182638853779245252852091389646176894700021044180247076825085699939373747666018920749<243>

2389772677192790433698379766991910569699907140914587504933991443589450154441308659232864324261000241816062829175763920046674928458257353303892917452237073303128384900701356499881803403421056704710070724478475756366384389146897<226>

200960264294616810303714194363029645493463082097316251423924365217003830403957840824650392978735815734586177810543798479479014264539481474799565656277554940918450633289259<171>

1356976427633568496334909229388447772675318844856850365790021537155393570203514386949255601040342910501230617284563541594773660542489625940363847633323426293038043497346856077740199544599378517473073652147367224137<214>

2889466926221738446129301028939997947460214990425847076585612469582196569404321568604038561930801713808716230902307654482878105062644659793041973407695058999103579071787504476361233534839849640116073129206177<208>