59279818090142310194468555816137740448324236376809698473858515326593093225915093020485675422392481<98>

26751738096440014307990911916120465357207011<44>
2215923985067384009560418171449180919028006614390617771<55>

Number: n
N=59279818090142310194468555816137740448324236376809698473858515326593093225915093020485675422392481
  ( 98 digits)
SNFS difficulty: 111 digits.
Divisors found:

Wed Dec 24 00:30:23 2008  prp44 factor: 26751738096440014307990911916120465357207011
Wed Dec 24 00:30:23 2008  prp55 factor: 2215923985067384009560418171449180919028006614390617771
Wed Dec 24 00:30:23 2008  elapsed time 00:05:05 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.65 hours.
Scaled time: 1.20 units (timescale=1.828).
Factorization parameters were as follows:
name: KA_4_2_108_9
n: 59279818090142310194468555816137740448324236376809698473858515326593093225915093020485675422392481
type: snfs
skew: 1.74
deg: 5
c5: 19
c0: 305
m: 10000000000000000000000
rlim: 450000
alim: 450000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 5000
Factor base limits: 450000/450000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 275001)
Primes: RFBsize:37706, AFBsize:37830, largePrimes:4770991 encountered
Relations: rels:3870829, finalFF:81071
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 105623 hash collisions in 3950766 relations
Msieve: matrix is 89786 x 90033 (23.6 MB)

Total sieving time: 0.60 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,111,5,0,0,0,0,0,0,0,0,450000,450000,29,29,58,58,2.5,2.5,50000
total time: 0.65 hours.
 --------- CPU info (if available) ----------

49651162776832117853392950700141070758766904970016036759288163519498755604332466735157811<89>

7397064209141958485367330886373433809<37>
6712279544020820708812321814113647261175372549034179<52>

Tue Dec 23 17:27:13 2008  Msieve v. 1.39
Tue Dec 23 17:27:13 2008  random seeds: 7cbef738 6f66a5b2
Tue Dec 23 17:27:13 2008  factoring 49651162776832117853392950700141070758766904970016036759288163519498755604332466735157811 (89 digits)
Tue Dec 23 17:27:14 2008  searching for 15-digit factors
Tue Dec 23 17:27:16 2008  commencing quadratic sieve (89-digit input)
Tue Dec 23 17:27:16 2008  using multiplier of 11
Tue Dec 23 17:27:16 2008  using 32kb Intel Core sieve core
Tue Dec 23 17:27:16 2008  sieve interval: 32 blocks of size 32768
Tue Dec 23 17:27:16 2008  processing polynomials in batches of 7
Tue Dec 23 17:27:16 2008  using a sieve bound of 1556189 (58842 primes)
Tue Dec 23 17:27:16 2008  using large prime bound of 124495120 (26 bits)
Tue Dec 23 17:27:16 2008  using double large prime bound of 372626841652480 (42-49 bits)
Tue Dec 23 17:27:16 2008  using trial factoring cutoff of 49 bits
Tue Dec 23 17:27:16 2008  polynomial 'A' values have 11 factors
Tue Dec 23 18:38:03 2008  59083 relations (15371 full + 43712 combined from 629948 partial), need 58938
Tue Dec 23 18:38:04 2008  begin with 645319 relations
Tue Dec 23 18:38:04 2008  reduce to 144756 relations in 9 passes
Tue Dec 23 18:38:04 2008  attempting to read 144756 relations
Tue Dec 23 18:38:06 2008  recovered 144756 relations
Tue Dec 23 18:38:06 2008  recovered 124039 polynomials
Tue Dec 23 18:38:06 2008  attempting to build 59083 cycles
Tue Dec 23 18:38:06 2008  found 59083 cycles in 5 passes
Tue Dec 23 18:38:06 2008  distribution of cycle lengths:
Tue Dec 23 18:38:06 2008     length 1 : 15371
Tue Dec 23 18:38:06 2008     length 2 : 11272
Tue Dec 23 18:38:06 2008     length 3 : 10572
Tue Dec 23 18:38:06 2008     length 4 : 7903
Tue Dec 23 18:38:06 2008     length 5 : 5658
Tue Dec 23 18:38:06 2008     length 6 : 3490
Tue Dec 23 18:38:06 2008     length 7 : 2178
Tue Dec 23 18:38:06 2008     length 9+: 2639
Tue Dec 23 18:38:06 2008  largest cycle: 20 relations
Tue Dec 23 18:38:07 2008  matrix is 58842 x 59083 (14.7 MB) with weight 3621608 (61.30/col)
Tue Dec 23 18:38:07 2008  sparse part has weight 3621608 (61.30/col)
Tue Dec 23 18:38:07 2008  filtering completed in 3 passes
Tue Dec 23 18:38:07 2008  matrix is 55011 x 55075 (13.8 MB) with weight 3403270 (61.79/col)
Tue Dec 23 18:38:07 2008  sparse part has weight 3403270 (61.79/col)
Tue Dec 23 18:38:08 2008  saving the first 48 matrix rows for later
Tue Dec 23 18:38:08 2008  matrix is 54963 x 55075 (10.5 MB) with weight 2875828 (52.22/col)
Tue Dec 23 18:38:08 2008  sparse part has weight 2420144 (43.94/col)
Tue Dec 23 18:38:08 2008  matrix includes 64 packed rows
Tue Dec 23 18:38:08 2008  using block size 22030 for processor cache size 1024 kB
Tue Dec 23 18:38:08 2008  commencing Lanczos iteration
Tue Dec 23 18:38:08 2008  memory use: 9.3 MB
Tue Dec 23 18:38:29 2008  lanczos halted after 871 iterations (dim = 54961)
Tue Dec 23 18:38:29 2008  recovered 17 nontrivial dependencies
Tue Dec 23 18:38:29 2008  prp37 factor: 7397064209141958485367330886373433809
Tue Dec 23 18:38:29 2008  prp52 factor: 6712279544020820708812321814113647261175372549034179
Tue Dec 23 18:38:29 2008  elapsed time 01:11:16

173005467235862557859424523342614033694193668612191137256544163118007289277935603085367<87>

4242755187407345742527427668930198334521<40>
40776679208206304454293512576431198414080057327<47>

Tue Dec 23 18:19:00 2008  
Tue Dec 23 18:19:00 2008  
Tue Dec 23 18:19:00 2008  Msieve v. 1.39
Tue Dec 23 18:19:00 2008  random seeds: 96cc2620 f2dff84d
Tue Dec 23 18:19:00 2008  factoring 173005467235862557859424523342614033694193668612191137256544163118007289277935603085367 (87 digits)
Tue Dec 23 18:19:01 2008  searching for 15-digit factors
Tue Dec 23 18:19:02 2008  commencing quadratic sieve (87-digit input)
Tue Dec 23 18:19:02 2008  using multiplier of 7
Tue Dec 23 18:19:02 2008  using 64kb Opteron sieve core
Tue Dec 23 18:19:02 2008  sieve interval: 10 blocks of size 65536
Tue Dec 23 18:19:02 2008  processing polynomials in batches of 11
Tue Dec 23 18:19:02 2008  using a sieve bound of 1480243 (56254 primes)
Tue Dec 23 18:19:02 2008  using large prime bound of 118419440 (26 bits)
Tue Dec 23 18:19:02 2008  using double large prime bound of 340534638927600 (41-49 bits)
Tue Dec 23 18:19:02 2008  using trial factoring cutoff of 49 bits
Tue Dec 23 18:19:02 2008  polynomial 'A' values have 11 factors
Tue Dec 23 18:48:34 2008  56642 relations (16217 full + 40425 combined from 588342 partial), need 56350
Tue Dec 23 18:48:34 2008  begin with 604559 relations
Tue Dec 23 18:48:34 2008  reduce to 134247 relations in 11 passes
Tue Dec 23 18:48:34 2008  attempting to read 134247 relations
Tue Dec 23 18:48:35 2008  recovered 134247 relations
Tue Dec 23 18:48:35 2008  recovered 109821 polynomials
Tue Dec 23 18:48:35 2008  attempting to build 56642 cycles
Tue Dec 23 18:48:36 2008  found 56642 cycles in 5 passes
Tue Dec 23 18:48:36 2008  distribution of cycle lengths:
Tue Dec 23 18:48:36 2008     length 1 : 16217
Tue Dec 23 18:48:36 2008     length 2 : 11293
Tue Dec 23 18:48:36 2008     length 3 : 10010
Tue Dec 23 18:48:36 2008     length 4 : 7280
Tue Dec 23 18:48:36 2008     length 5 : 5006
Tue Dec 23 18:48:36 2008     length 6 : 3000
Tue Dec 23 18:48:36 2008     length 7 : 1762
Tue Dec 23 18:48:36 2008     length 9+: 2074
Tue Dec 23 18:48:36 2008  largest cycle: 17 relations
Tue Dec 23 18:48:36 2008  matrix is 56254 x 56642 (12.9 MB) with weight 3166386 (55.90/col)
Tue Dec 23 18:48:36 2008  sparse part has weight 3166386 (55.90/col)
Tue Dec 23 18:48:37 2008  filtering completed in 3 passes
Tue Dec 23 18:48:37 2008  matrix is 51309 x 51373 (11.8 MB) with weight 2892193 (56.30/col)
Tue Dec 23 18:48:37 2008  sparse part has weight 2892193 (56.30/col)
Tue Dec 23 18:48:37 2008  saving the first 48 matrix rows for later
Tue Dec 23 18:48:37 2008  matrix is 51261 x 51373 (7.7 MB) with weight 2276433 (44.31/col)
Tue Dec 23 18:48:37 2008  sparse part has weight 1699820 (33.09/col)
Tue Dec 23 18:48:37 2008  matrix includes 64 packed rows
Tue Dec 23 18:48:37 2008  using block size 20549 for processor cache size 1024 kB
Tue Dec 23 18:48:37 2008  commencing Lanczos iteration
Tue Dec 23 18:48:37 2008  memory use: 7.5 MB
Tue Dec 23 18:48:51 2008  lanczos halted after 812 iterations (dim = 51259)
Tue Dec 23 18:48:51 2008  recovered 16 nontrivial dependencies
Tue Dec 23 18:48:52 2008  prp40 factor: 4242755187407345742527427668930198334521
Tue Dec 23 18:48:52 2008  prp47 factor: 40776679208206304454293512576431198414080057327
Tue Dec 23 18:48:52 2008  elapsed time 00:29:52

1943289532866025046805189916901455945080339390486360112365850271499631585958241209015851<88>

17894098175364997990374216358774504223<38>
108599467479248166102092723780312641021472824805237<51>

Tue Dec 23 18:47:15 2008  Msieve v. 1.39
Tue Dec 23 18:47:15 2008  random seeds: 160947d4 cef27f46
Tue Dec 23 18:47:15 2008  factoring 1943289532866025046805189916901455945080339390486360112365850271499631585958241209015851 (88 digits)
Tue Dec 23 18:47:16 2008  searching for 15-digit factors
Tue Dec 23 18:47:17 2008  commencing quadratic sieve (88-digit input)
Tue Dec 23 18:47:17 2008  using multiplier of 19
Tue Dec 23 18:47:17 2008  using 32kb Intel Core sieve core
Tue Dec 23 18:47:17 2008  sieve interval: 24 blocks of size 32768
Tue Dec 23 18:47:17 2008  processing polynomials in batches of 9
Tue Dec 23 18:47:17 2008  using a sieve bound of 1506511 (57333 primes)
Tue Dec 23 18:47:17 2008  using large prime bound of 120520880 (26 bits)
Tue Dec 23 18:47:17 2008  using double large prime bound of 351489263807840 (42-49 bits)
Tue Dec 23 18:47:17 2008  using trial factoring cutoff of 49 bits
Tue Dec 23 18:47:17 2008  polynomial 'A' values have 11 factors
Tue Dec 23 19:37:18 2008  57729 relations (16066 full + 41663 combined from 603363 partial), need 57429
Tue Dec 23 19:37:19 2008  begin with 619429 relations
Tue Dec 23 19:37:19 2008  reduce to 138258 relations in 10 passes
Tue Dec 23 19:37:19 2008  attempting to read 138258 relations
Tue Dec 23 19:37:21 2008  recovered 138258 relations
Tue Dec 23 19:37:21 2008  recovered 115980 polynomials
Tue Dec 23 19:37:21 2008  attempting to build 57729 cycles
Tue Dec 23 19:37:21 2008  found 57729 cycles in 5 passes
Tue Dec 23 19:37:21 2008  distribution of cycle lengths:
Tue Dec 23 19:37:21 2008     length 1 : 16066
Tue Dec 23 19:37:21 2008     length 2 : 11406
Tue Dec 23 19:37:21 2008     length 3 : 10192
Tue Dec 23 19:37:21 2008     length 4 : 7446
Tue Dec 23 19:37:21 2008     length 5 : 5239
Tue Dec 23 19:37:21 2008     length 6 : 3296
Tue Dec 23 19:37:21 2008     length 7 : 1905
Tue Dec 23 19:37:21 2008     length 9+: 2179
Tue Dec 23 19:37:21 2008  largest cycle: 19 relations
Tue Dec 23 19:37:21 2008  matrix is 57333 x 57729 (13.8 MB) with weight 3385288 (58.64/col)
Tue Dec 23 19:37:21 2008  sparse part has weight 3385288 (58.64/col)
Tue Dec 23 19:37:22 2008  filtering completed in 3 passes
Tue Dec 23 19:37:22 2008  matrix is 52973 x 53036 (12.7 MB) with weight 3125748 (58.94/col)
Tue Dec 23 19:37:22 2008  sparse part has weight 3125748 (58.94/col)
Tue Dec 23 19:37:22 2008  saving the first 48 matrix rows for later
Tue Dec 23 19:37:22 2008  matrix is 52925 x 53036 (9.3 MB) with weight 2584488 (48.73/col)
Tue Dec 23 19:37:22 2008  sparse part has weight 2112719 (39.84/col)
Tue Dec 23 19:37:22 2008  matrix includes 64 packed rows
Tue Dec 23 19:37:22 2008  using block size 21214 for processor cache size 1024 kB
Tue Dec 23 19:37:23 2008  commencing Lanczos iteration
Tue Dec 23 19:37:23 2008  memory use: 8.5 MB
Tue Dec 23 19:37:40 2008  lanczos halted after 838 iterations (dim = 52924)
Tue Dec 23 19:37:41 2008  recovered 17 nontrivial dependencies
Tue Dec 23 19:37:42 2008  prp38 factor: 17894098175364997990374216358774504223
Tue Dec 23 19:37:42 2008  prp51 factor: 108599467479248166102092723780312641021472824805237
Tue Dec 23 19:37:42 2008  elapsed time 00:50:27

2463442514215982536119131591935078249728878201624727560526653267928776465809352361520806512445821303420863<106>

90758930904109184231531507553783048527<38>
27142700885477796848302781645863411898017548539507764956042342567569<68>

Number: 42229_123
N=2463442514215982536119131591935078249728878201624727560526653267928776465809352361520806512445821303420863
  ( 106 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=90758930904109184231531507553783048527
 r2=27142700885477796848302781645863411898017548539507764956042342567569
Version: 
Total time: 1.88 hours.
Scaled time: 4.84 units (timescale=2.575).
Factorization parameters were as follows:
name: 42229_123
n: 2463442514215982536119131591935078249728878201624727560526653267928776465809352361520806512445821303420863
m: 5000000000000000000000000
deg: 5
c5: 304
c0: 1525
skew: 1.38
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, 640001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 111021 x 111261
Total sieving time: 1.88 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: 1.88 hours.
 --------- CPU info (if available) ----------

17712839607524491181194896261236888181051603158412905861666362722760429830774699542102681<89>

63555308651323802072448928885255075100069<41>
278699608001282959114888883431789684547614379749<48>

Tue Dec 23 20:12:21 2008  Msieve v. 1.39
Tue Dec 23 20:12:21 2008  random seeds: 7df503ec db120c14
Tue Dec 23 20:12:21 2008  factoring 17712839607524491181194896261236888181051603158412905861666362722760429830774699542102681 (89 digits)
Tue Dec 23 20:12:22 2008  searching for 15-digit factors
Tue Dec 23 20:12:24 2008  commencing quadratic sieve (89-digit input)
Tue Dec 23 20:12:24 2008  using multiplier of 1
Tue Dec 23 20:12:24 2008  using 32kb Intel Core sieve core
Tue Dec 23 20:12:24 2008  sieve interval: 30 blocks of size 32768
Tue Dec 23 20:12:24 2008  processing polynomials in batches of 7
Tue Dec 23 20:12:24 2008  using a sieve bound of 1546837 (58547 primes)
Tue Dec 23 20:12:24 2008  using large prime bound of 123746960 (26 bits)
Tue Dec 23 20:12:24 2008  using double large prime bound of 368605688486800 (42-49 bits)
Tue Dec 23 20:12:24 2008  using trial factoring cutoff of 49 bits
Tue Dec 23 20:12:24 2008  polynomial 'A' values have 11 factors
Tue Dec 23 21:02:17 2008  58671 relations (16518 full + 42153 combined from 614508 partial), need 58643
Tue Dec 23 21:02:18 2008  begin with 631026 relations
Tue Dec 23 21:02:19 2008  reduce to 139761 relations in 11 passes
Tue Dec 23 21:02:19 2008  attempting to read 139761 relations
Tue Dec 23 21:02:20 2008  recovered 139761 relations
Tue Dec 23 21:02:20 2008  recovered 112916 polynomials
Tue Dec 23 21:02:20 2008  attempting to build 58671 cycles
Tue Dec 23 21:02:21 2008  found 58671 cycles in 6 passes
Tue Dec 23 21:02:21 2008  distribution of cycle lengths:
Tue Dec 23 21:02:21 2008     length 1 : 16518
Tue Dec 23 21:02:21 2008     length 2 : 11650
Tue Dec 23 21:02:21 2008     length 3 : 10419
Tue Dec 23 21:02:21 2008     length 4 : 7564
Tue Dec 23 21:02:21 2008     length 5 : 5203
Tue Dec 23 21:02:21 2008     length 6 : 3267
Tue Dec 23 21:02:21 2008     length 7 : 1916
Tue Dec 23 21:02:21 2008     length 9+: 2134
Tue Dec 23 21:02:21 2008  largest cycle: 19 relations
Tue Dec 23 21:02:21 2008  matrix is 58547 x 58671 (13.9 MB) with weight 3403013 (58.00/col)
Tue Dec 23 21:02:21 2008  sparse part has weight 3403013 (58.00/col)
Tue Dec 23 21:02:21 2008  filtering completed in 3 passes
Tue Dec 23 21:02:21 2008  matrix is 53864 x 53928 (12.9 MB) with weight 3170121 (58.78/col)
Tue Dec 23 21:02:21 2008  sparse part has weight 3170121 (58.78/col)
Tue Dec 23 21:02:22 2008  saving the first 48 matrix rows for later
Tue Dec 23 21:02:22 2008  matrix is 53816 x 53928 (9.1 MB) with weight 2584186 (47.92/col)
Tue Dec 23 21:02:22 2008  sparse part has weight 2066484 (38.32/col)
Tue Dec 23 21:02:22 2008  matrix includes 64 packed rows
Tue Dec 23 21:02:22 2008  using block size 21571 for processor cache size 1024 kB
Tue Dec 23 21:02:22 2008  commencing Lanczos iteration
Tue Dec 23 21:02:22 2008  memory use: 8.4 MB
Tue Dec 23 21:02:40 2008  lanczos halted after 853 iterations (dim = 53814)
Tue Dec 23 21:02:40 2008  recovered 16 nontrivial dependencies
Tue Dec 23 21:02:41 2008  prp41 factor: 63555308651323802072448928885255075100069
Tue Dec 23 21:02:41 2008  prp48 factor: 278699608001282959114888883431789684547614379749
Tue Dec 23 21:02:41 2008  elapsed time 00:50:20

219118921662736653480897241240879679435937152310888693873048609053267290890344184505974190904823332197951341875626831481<120>

375555149263134842089555204601763364829365781719<48>
583453381194914039518484879886709379205169265358315351203669660340202799<72>

Number: 42229_125
N=219118921662736653480897241240879679435937152310888693873048609053267290890344184505974190904823332197951341875626831481
  ( 120 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=375555149263134842089555204601763364829365781719
 r2=583453381194914039518484879886709379205169265358315351203669660340202799
Version: 
Total time: 2.23 hours.
Scaled time: 4.43 units (timescale=1.991).
Factorization parameters were as follows:
name: 42229_125
n: 219118921662736653480897241240879679435937152310888693873048609053267290890344184505974190904823332197951341875626831481
m: 10000000000000000000000000
deg: 5
c5: 38
c0: 61
skew: 1.10
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 123791 x 124029
Total sieving time: 2.23 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,50000
total time: 2.23 hours.
 --------- CPU info (if available) ----------

850428314708993445914832830953861503141974686810511670064258988184453693755022586144384679230460278979<102>

6877800995261078438976596986477<31>
123648287482431227866137204018035742921025020239320352409776567579513327<72>

Factor found in step 1: 6877800995261078438976596986477

GMP-ECM 6.2.1

212920939093405054070712164509441362694010197792346052557852860424721241665265871014736370258306718215946657701574494312769653163<129>

18931593415430636447428825920870807172531523070990639092291417<62>
11246857801195903571673445644347018389968064581167169333729364888739<68>

Number: 42229_131
N=212920939093405054070712164509441362694010197792346052557852860424721241665265871014736370258306718215946657701574494312769653163
  ( 129 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=18931593415430636447428825920870807172531523070990639092291417
 r2=11246857801195903571673445644347018389968064581167169333729364888739
Version: 
Total time: 3.43 hours.
Scaled time: 7.84 units (timescale=2.282).
Factorization parameters were as follows:
name: 42229_131
n: 212920939093405054070712164509441362694010197792346052557852860424721241665265871014736370258306718215946657701574494312769653163
m: 100000000000000000000000000
deg: 5
c5: 380
c0: 61
skew: 0.69
type: snfs
lss: 1
rlim: 1130000
alim: 1130000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1130000/1130000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [565000, 1015001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 159415 x 159663
Total sieving time: 3.43 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:
snfs,132,5,0,0,0,0,0,0,0,0,1130000,1130000,26,26,47,47,2.3,2.3,50000
total time: 3.43 hours.
 --------- CPU info (if available) ----------

494636115644049218819442914466771717713015102938955522069569580741406160381239875380518653429265348791970272174371660801<120>

2969872220720596372610570814567592219469836109293<49>
166551312272968076499268266318802432077753188457365327152386424859382757<72>

Number: 42229_132
N=494636115644049218819442914466771717713015102938955522069569580741406160381239875380518653429265348791970272174371660801
  ( 120 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=2969872220720596372610570814567592219469836109293
 r2=166551312272968076499268266318802432077753188457365327152386424859382757
Version: 
Total time: 4.08 hours.
Scaled time: 9.61 units (timescale=2.357).
Factorization parameters were as follows:
name: 42229_132
n: 494636115644049218819442914466771717713015102938955522069569580741406160381239875380518653429265348791970272174371660801
m: 200000000000000000000000000
deg: 5
c5: 475
c0: 244
skew: 0.88
type: snfs
lss: 1
rlim: 1210000
alim: 1210000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1210000/1210000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [605000, 1130001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 162582 x 162827
Total sieving time: 4.08 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,134,5,0,0,0,0,0,0,0,0,1210000,1210000,26,26,47,47,2.3,2.3,75000
total time: 4.08 hours.
 --------- CPU info (if available) ----------

16650134443707430675722745496325348238405457625575494554061037823950827364147409161145258157135657400068205566763<113>

3454354056951432918786575190491331483927052530924391<52>
4820042812404022801199777592890218362440628066520836743662493<61>

Number: 42229_133
N=16650134443707430675722745496325348238405457625575494554061037823950827364147409161145258157135657400068205566763
  ( 113 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=3454354056951432918786575190491331483927052530924391
 r2=4820042812404022801199777592890218362440628066520836743662493
Version: 
Total time: 4.36 hours.
Scaled time: 8.73 units (timescale=2.003).
Factorization parameters were as follows:
name: 42229_133
n: 16650134443707430675722745496325348238405457625575494554061037823950827364147409161145258157135657400068205566763
m: 500000000000000000000000000
deg: 5
c5: 304
c0: 1525
skew: 1.38
type: snfs
lss: 1
rlim: 1290000
alim: 1290000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1290000/1290000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [645000, 1095001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 149895 x 150143
Total sieving time: 4.36 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,135,5,0,0,0,0,0,0,0,0,1290000,1290000,26,26,47,47,2.3,2.3,75000
total time: 4.36 hours.
 --------- CPU info (if available) ----------

693971668979787672360221564933897224316140193326896041334006376981172056648340109892525747331357177578992585148159179582133<123>

12994371931234232563572230204953<32>
2821341889370461231082316680328888029873454389<46>
18929133352137533796090816854860634959299355049<47>

Number: 42229_136
N=693971668979787672360221564933897224316140193326896041334006376981172056648340109892525747331357177578992585148159179582133
  ( 123 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=12994371931234232563572230204953
 r2=2821341889370461231082316680328888029873454389
 r3=18929133352137533796090816854860634959299355049
Version: 
Total time: 6.24 hours.
Scaled time: 12.28 units (timescale=1.967).
Factorization parameters were as follows:
name: 42229_136
n: 693971668979787672360221564933897224316140193326896041334006376981172056648340109892525747331357177578992585148159179582133
m: 1000000000000000000000000000
deg: 5
c5: 380
c0: 61
skew: 0.69
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, 1360001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 193020 x 193268
Total sieving time: 6.24 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: 6.24 hours.
 --------- CPU info (if available) ----------

7339038470080864615984812053018758968594709325793436968281834527858410634653008329808663541781339142761680176291429354995084775550959<133>

6456539318974069952317840383913635547<37>
84353085074939403498494219218028513808174498829<47>
13475298467557402274192836515690867490289089049393<50>

Number: 42229_137
N=7339038470080864615984812053018758968594709325793436968281834527858410634653008329808663541781339142761680176291429354995084775550959
  ( 133 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=6456539318974069952317840383913635547
 r2=84353085074939403498494219218028513808174498829
 r3=13475298467557402274192836515690867490289089049393
Version: 
Total time: 5.42 hours.
Scaled time: 13.96 units (timescale=2.575).
Factorization parameters were as follows:
name: 42229_137
n: 7339038470080864615984812053018758968594709325793436968281834527858410634653008329808663541781339142761680176291429354995084775550959
m: 2000000000000000000000000000
deg: 5
c5: 475
c0: 244
skew: 0.88
type: snfs
lss: 1
rlim: 1460000
alim: 1460000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1460000/1460000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [730000, 1480001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 206320 x 206568
Total sieving time: 5.42 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,1460000,1460000,26,26,48,48,2.3,2.3,75000
total time: 5.42 hours.
 --------- CPU info (if available) ----------

1070819975697581372026915209957136700305843805306366832768537504626396109208627745838362563415637931633490196373116881930747<124>

40995216861330514782493424946046859932427<41>
26120607663077197279728695742834580519372241488994079940765343709210850548980030161<83>

Number: 42229_139
N=1070819975697581372026915209957136700305843805306366832768537504626396109208627745838362563415637931633490196373116881930747
  ( 124 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=40995216861330514782493424946046859932427
 r2=26120607663077197279728695742834580519372241488994079940765343709210850548980030161
Version: 
Total time: 6.97 hours.
Scaled time: 14.00 units (timescale=2.010).
Factorization parameters were as follows:
name: 42229_139
n: 1070819975697581372026915209957136700305843805306366832768537504626396109208627745838362563415637931633490196373116881930747
m: 10000000000000000000000000000
deg: 5
c5: 19
c0: 305
skew: 1.74
type: snfs
lss: 1
rlim: 1580000
alim: 1580000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1580000/1580000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [790000, 1490001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 208332 x 208580
Total sieving time: 6.97 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1580000,1580000,26,26,48,48,2.3,2.3,100000
total time: 6.97 hours.
 --------- CPU info (if available) ----------

2788707908027038368820676356991699645995675322839068899344297739110534039864931465687628595805788445793745961473494234473766331<127>

4363189719756629305373249732984127052389932144242640081636599<61>
639144315774237606362299455808713290546585132219180798704818559069<66>

Number: 42229_140
N=2788707908027038368820676356991699645995675322839068899344297739110534039864931465687628595805788445793745961473494234473766331
  ( 127 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=4363189719756629305373249732984127052389932144242640081636599
 r2=639144315774237606362299455808713290546585132219180798704818559069
Version: 
Total time: 6.86 hours.
Scaled time: 13.78 units (timescale=2.010).
Factorization parameters were as follows:
name: 42227_140
n: 2788707908027038368820676356991699645995675322839068899344297739110534039864931465687628595805788445793745961473494234473766331
m: 10000000000000000000000000000
deg: 5
c5: 38
c0: 61
skew: 1.10
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [800000, 1500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 249081 x 249329
Total sieving time: 6.86 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1600000,1600000,26,26,48,48,2.3,2.3,100000
total time: 6.86 hours.
 --------- CPU info (if available) ----------

397543457057266918884845579618051966809384919381927176588582112286687485108113865531283414443127005287628869<108>

247067337455777187755752491982412454361833257217269<51>
1609049019393037299239339702182176490310075105569308816401<58>

Number: 42229_143
N=397543457057266918884845579618051966809384919381927176588582112286687485108113865531283414443127005287628869
  ( 108 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=247067337455777187755752491982412454361833257217269
 r2=1609049019393037299239339702182176490310075105569308816401
Version: 
Total time: 9.34 hours.
Scaled time: 18.43 units (timescale=1.972).
Factorization parameters were as follows:
name: 42229_143
n: 397543457057266918884845579618051966809384919381927176588582112286687485108113865531283414443127005287628869
m: 50000000000000000000000000000
deg: 5
c5: 304
c0: 1525
skew: 1.38
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, 1850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 262775 x 263023
Total sieving time: 9.34 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: 9.34 hours.
 --------- CPU info (if available) ----------

8457262317714147294016385721547660853752827578558985837705086326524939731121810659969466260464024334657441718374897<115>

185958730996919530697610925218379<33>
435936853888932377299397412491753686571<39>
104325299889160694313575763049847352543268633<45>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1036791296
Step 1 took 8186ms
Step 2 took 9254ms
********** Factor found in step 2: 185958730996919530697610925218379
Found probable prime factor of 33 digits: 185958730996919530697610925218379
Composite cofactor has 83 digits

Tue Dec 23 05:15:51 2008
Tue Dec 23 05:15:51 2008  Msieve v. 1.39
Tue Dec 23 05:15:51 2008  random seeds: 90094d45 a7ce150a
Tue Dec 23 05:15:51 2008  factoring 45479243014700098733299390696402372968311259821857132401813685792934459068137627443 (83 digits)
Tue Dec 23 05:15:52 2008  searching for 15-digit factors
Tue Dec 23 05:15:52 2008  commencing quadratic sieve (83-digit input)
Tue Dec 23 05:15:52 2008  using multiplier of 3
Tue Dec 23 05:15:52 2008  using 64kb Opteron sieve core
Tue Dec 23 05:15:52 2008  sieve interval: 6 blocks of size 65536
Tue Dec 23 05:15:52 2008  processing polynomials in batches of 17
Tue Dec 23 05:15:52 2008  using a sieve bound of 1368329 (52647 primes)
Tue Dec 23 05:15:52 2008  using large prime bound of 121781281 (26 bits)
Tue Dec 23 05:15:52 2008  using trial factoring cutoff of 27 bits
Tue Dec 23 05:15:52 2008  polynomial 'A' values have 11 factors
Tue Dec 23 05:38:35 2008  52767 relations (26541 full + 26226 combined from 280810 partial), need 52743
Tue Dec 23 05:38:35 2008  begin with 307351 relations
Tue Dec 23 05:38:35 2008  reduce to 75673 relations in 2 passes
Tue Dec 23 05:38:35 2008  attempting to read 75673 relations
Tue Dec 23 05:38:36 2008  recovered 75673 relations
Tue Dec 23 05:38:36 2008  recovered 69585 polynomials
Tue Dec 23 05:38:36 2008  attempting to build 52767 cycles
Tue Dec 23 05:38:36 2008  found 52767 cycles in 1 passes
Tue Dec 23 05:38:36 2008  distribution of cycle lengths:
Tue Dec 23 05:38:36 2008     length 1 : 26541
Tue Dec 23 05:38:36 2008     length 2 : 26226
Tue Dec 23 05:38:36 2008  largest cycle: 2 relations
Tue Dec 23 05:38:36 2008  matrix is 52647 x 52767 (8.0 MB) with weight 1682549 (31.89/col)
Tue Dec 23 05:38:36 2008  sparse part has weight 1682549 (31.89/col)
Tue Dec 23 05:38:37 2008  filtering completed in 3 passes
Tue Dec 23 05:38:37 2008  matrix is 38828 x 38887 (6.4 MB) with weight 1373197 (35.31/col)
Tue Dec 23 05:38:37 2008  sparse part has weight 1373197 (35.31/col)
Tue Dec 23 05:38:37 2008  saving the first 48 matrix rows for later
Tue Dec 23 05:38:37 2008  matrix is 38780 x 38887 (4.3 MB) with weight 1039749 (26.74/col)
Tue Dec 23 05:38:37 2008  sparse part has weight 747149 (19.21/col)
Tue Dec 23 05:38:37 2008  matrix includes 64 packed rows
Tue Dec 23 05:38:37 2008  using block size 15554 for processor cache size 1024 kB
Tue Dec 23 05:38:37 2008  commencing Lanczos iteration
Tue Dec 23 05:38:37 2008  memory use: 4.3 MB
Tue Dec 23 05:38:42 2008  lanczos halted after 615 iterations (dim = 38778)
Tue Dec 23 05:38:42 2008  recovered 17 nontrivial dependencies
Tue Dec 23 05:38:42 2008  prp39 factor: 435936853888932377299397412491753686571
Tue Dec 23 05:38:42 2008  prp45 factor: 104325299889160694313575763049847352543268633
Tue Dec 23 05:38:42 2008  elapsed time 00:22:51

GMP-ECM 6.2.1, Msieve-1.39

10611436828906870090522936495968919633890384936146829850407470739275500463086914188108300526561796213920262163<110>

959520805192593881541714464704553517162347<42>
11059100304528524565462268921955338143239467920276603381903889550329<68>

Number: n
N=10611436828906870090522936495968919633890384936146829850407470739275500463086914188108300526561796213920262163
  ( 110 digits)
SNFS difficulty: 146 digits.
Divisors found:

Thu Dec 25 11:57:28 2008  prp42 factor: 959520805192593881541714464704553517162347
Thu Dec 25 11:57:28 2008  prp68 factor: 11059100304528524565462268921955338143239467920276603381903889550329
Thu Dec 25 11:57:28 2008  elapsed time 00:35:41 (Msieve 1.39 - dependency 4)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 7.47 hours.
Scaled time: 13.66 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_4_2_144_9
n: 10611436828906870090522936495968919633890384936146829850407470739275500463086914188108300526561796213920262163
type: snfs
skew: 1.10
deg: 5
c5: 38
c0: 61
m: 100000000000000000000000000000
rlim: 1500000
alim: 1500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 1870001)
Primes: RFBsize:114155, AFBsize:114048, largePrimes:12063139 encountered
Relations: rels:11157151, finalFF:260073
Max relations in full relation-set: 28
Initial matrix: 228269 x 260073 with sparse part having weight 43425032.
Pruned matrix : 222316 x 223521 with weight 33941924.

Msieve: found 1169180 hash collisions in 12167702 relations
Msieve: matrix is 285178 x 285426 (74.7 MB)

Total sieving time: 7.09 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,56,56,2.5,2.5,100000
total time: 7.47 hours.
 --------- CPU info (if available) ----------

1324631203500651683693406439032280216667834433648700135914133222343181966331360678601593810207538336744258682347511418843854913841454891253007<142>

29371295975761612541641795908618293<35>
45099515002463330270041583910624200505787042854484125648106218811048271349055997284919050293096397504594099<107>

SNFS difficulty: 147 digits.
Divisors found:
 r1=29371295975761612541641795908618293 (pp35)
 r2=45099515002463330270041583910624200505787042854484125648106218811048271349055997284919050293096397504594099 (pp107)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.950).
Factorization parameters were as follows:
n: 1324631203500651683693406439032280216667834433648700135914133222343181966331360678601593810207538336744258682347511418843854913841454891253007
m: 100000000000000000000000000000
deg: 5
c5: 380
c0: 61
skew: 0.69
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2400001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 294682 x 294930
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,147,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,200000
total time: 6.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

36240243768118729202943463309695426736944896402283016562377648348010345900851403545823189583259160747606835955616325055489499<125>

390767166238674756702854534057738664529<39>
92741271271455106967496554922563178454113145520981313433082313450604481966509315597931<86>

Number: 42229_147
N=36240243768118729202943463309695426736944896402283016562377648348010345900851403545823189583259160747606835955616325055489499
  ( 125 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=390767166238674756702854534057738664529
 r2=92741271271455106967496554922563178454113145520981313433082313450604481966509315597931
Version: 
Total time: 11.97 hours.
Scaled time: 30.70 units (timescale=2.564).
Factorization parameters were as follows:
name: 42229_147
n: 36240243768118729202943463309695426736944896402283016562377648348010345900851403545823189583259160747606835955616325055489499
m: 200000000000000000000000000000
deg: 5
c5: 475
c0: 244
skew: 0.88
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 357888 x 358136
Total sieving time: 11.97 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,149,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 11.97 hours.
 --------- CPU info (if available) ----------

16452742092403031143101718927561735369567397548853730627299288645843883659820746271855946334793475548767105426860527001984564411<128>

56185303161233834414804494597<29>
292829995865447732444269891383468434429946313251210428873631095088198685156325342448697256025078463<99>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3917450993
Step 1 took 9731ms
Step 2 took 10584ms
********** Factor found in step 2: 56185303161233834414804494597
Found probable prime factor of 29 digits: 56185303161233834414804494597
Probable prime cofactor 292829995865447732444269891383468434429946313251210428873631095088198685156325342448697256025078463 has 99 digits

GMP-ECM 6.2.1

1066530878200582333156814053010519584177460948501779101207877934822484930669472630820726636637030327622259753443826100714526010508747662406389427073<148>

15141979967594079491718919468985969669399230154355609013<56>
70435364495469228989127803857011940423160477324626942530227526262722573852534558759089710621<92>

SNFS difficulty: 156 digits.
Divisors found:
 r1=15141979967594079491718919468985969669399230154355609013 (pp56)
 r2=70435364495469228989127803857011940423160477324626942530227526262722573852534558759089710621 (pp92)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.307).
Factorization parameters were as follows:
n: 1066530878200582333156814053010519584177460948501779101207877934822484930669472630820726636637030327622259753443826100714526010508747662406389427073
m: 10000000000000000000000000000000
deg: 5
c5: 19
c0: 305
skew: 1.74
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
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: 52/52
Sieved rational special-q in [1400000, 2200001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 470528 x 470776
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,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,52,52,2.4,2.4,100000
total time: 17.00 hours.

Msieve-1.39

Opteron-2.2GHz; Linux x86_64

89657075732512441634943806879080168667130713554798202567148299186828703838676016744071926873134410604543640813584660148737563411<128>

260143260050233689064483536734775966389994188398184680541<57>
344645007197955662990211669087773268820445474115533760904170023354945071<72>

Number: 42229_156
N=89657075732512441634943806879080168667130713554798202567148299186828703838676016744071926873134410604543640813584660148737563411
  ( 128 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=260143260050233689064483536734775966389994188398184680541
 r2=344645007197955662990211669087773268820445474115533760904170023354945071
Version: 
Total time: 30.26 hours.
Scaled time: 64.45 units (timescale=2.130).
Factorization parameters were as follows:
name: 42229_156
n: 89657075732512441634943806879080168667130713554798202567148299186828703838676016744071926873134410604543640813584660148737563411
m: 10000000000000000000000000000000
deg: 5
c5: 380
c0: 61
skew: 0.69
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 502089 x 502337
Total sieving time: 30.26 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,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 30.26 hours.
 --------- CPU info (if available) ----------

74810129373359309205942545336184834206171738221787981982172320932093334776011501165482249537046287347382671874753603894353824973070373<134>

297509719742290474139330475588728831273006432555451274399<57>
251454404374289030062001456994792487277578746400523774726284481964757292298427<78>

Number: 42229_160
N=74810129373359309205942545336184834206171738221787981982172320932093334776011501165482249537046287347382671874753603894353824973070373
  ( 134 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=297509719742290474139330475588728831273006432555451274399
 r2=251454404374289030062001456994792487277578746400523774726284481964757292298427
Version: 
Total time: 31.41 hours.
Scaled time: 80.23 units (timescale=2.554).
Factorization parameters were as follows:
name: 42229_160
n: 74810129373359309205942545336184834206171738221787981982172320932093334776011501165482249537046287347382671874753603894353824973070373
m: 100000000000000000000000000000000
deg: 5
c5: 38
c0: 61
skew: 1.10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 2950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 678025 x 678273
Total sieving time: 31.41 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 31.41 hours.
 --------- CPU info (if available) ----------

338234699718451915584474464557708031138343751984940684675044970600595111547260673187174469507135439903150655763704612828167<123>

1424218554316875399625038392232057599399988443713<49>
237487918334757094139099263647007383687709373624089339742165459109156850759<75>

Number: 42229_164
N=338234699718451915584474464557708031138343751984940684675044970600595111547260673187174469507135439903150655763704612828167
  ( 123 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=1424218554316875399625038392232057599399988443713
 r2=237487918334757094139099263647007383687709373624089339742165459109156850759
Version: 
Total time: 20.50 hours.
Scaled time: 48.82 units (timescale=2.382).
Factorization parameters were as follows:
n: 338234699718451915584474464557708031138343751984940684675044970600595111547260673187174469507135439903150655763704612828167
m: 1000000000000000000000000000000000
deg: 5
c5: 19
c0: 305
skew: 1.74
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2300000, 3900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9507815
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 752528 x 752776
Total sieving time: 18.30 hours.
Total relation processing time: 0.77 hours.
Matrix solve time: 1.26 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,51,51,2.4,2.4,100000
total time: 20.50 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: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

2342656058320971136078914378894172103407965837435963776301999121838755344379699057145088347325698602189976417552725256631608747785795775281145818529<148>

21542209814132096929259164948657660906663<41>
108747249169588185424876695250126633643543443939403426766972201603072209923897950037118523330042709677118583<108>

Number: 42229_166
N=2342656058320971136078914378894172103407965837435963776301999121838755344379699057145088347325698602189976417552725256631608747785795775281145818529
  ( 148 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=21542209814132096929259164948657660906663 (pp41)
 r2=108747249169588185424876695250126633643543443939403426766972201603072209923897950037118523330042709677118583 (pp108)
Version: Msieve-1.39
Total time: 44.29 hours.
Scaled time: 114.32 units (timescale=2.581).
Factorization parameters were as follows:
n: 2342656058320971136078914378894172103407965837435963776301999121838755344379699057145088347325698602189976417552725256631608747785795775281145818529
m: 1000000000000000000000000000000000
deg: 5
c5: 380
c0: 61
skew: 0.69
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2150000, 4350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 831110 x 831358
Total sieving time: 44.29 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,167,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000
total time: 44.29 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

35448595902426381689814754249814433581331280418318339807608728957850624199532445178670719626970890252637535566455445691961293138457991395054272643<146>

112571824006096729158420064343072159842458593951521181965941557<63>
314897588409925172578173765266062287127679189995340781348626644393883516585549040599<84>

Another experiment, this time it was a really bad choice:

rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 47
mfba: 47
rlambda: 2.6
alambda: 2.6

~65 Hours sieve time, 10M rels.

Msieve v. 1.42
Thu Sep 24 17:26:59 2009
random seeds: 9382ecfa 81315f41
factoring 35448595902426381689814754249814433581331280418318339807608728957850624199532445178670719626970890252637535566455445691961293138457991395054272643 (146 digits)
searching for 15-digit factors
commencing number field sieve (146-digit input)
R0: -10000000000000000000000000000000000
R1:  1
A0:  61
A1:  0
A2:  0
A3:  0
A4:  0
A5:  38
skew 1.10, size 6.368856e-12, alpha 0.160832, combined = 2.502776e-10

commencing relation filtering
estimated available RAM is 8010.2 MB
commencing duplicate removal, pass 1
found 1023559 hash collisions in 9955173 relations
added 220533 free relations
commencing duplicate removal, pass 2
found 844550 duplicates and 9331156 unique relations
memory use: 49.3 MB
reading ideals above 100000
commencing singleton removal, initial pass
memory use: 266.4 MB
reading all ideals from disk
memory use: 332.7 MB
keeping 12217529 ideals with weight <= 200, target excess is 53180
commencing in-memory singleton removal
begin with 9331156 relations and 12217529 unique ideals
reduce to 2115084 relations and 2019675 ideals in 13 passes
max relations containing the same ideal: 74
removing 120615 relations and 103755 ideals in 16860 cliques
commencing in-memory singleton removal
begin with 1994469 relations and 2019675 unique ideals
reduce to 1991343 relations and 1912754 ideals in 6 passes
max relations containing the same ideal: 71
removing 91079 relations and 74219 ideals in 16860 cliques
commencing in-memory singleton removal
begin with 1900264 relations and 1912754 unique ideals
reduce to 1898231 relations and 1836483 ideals in 5 passes
max relations containing the same ideal: 69
relations with 0 large ideals: 1229
relations with 1 large ideals: 460
relations with 2 large ideals: 6558
relations with 3 large ideals: 46287
relations with 4 large ideals: 173673
relations with 5 large ideals: 381617
relations with 6 large ideals: 540247
relations with 7+ large ideals: 748160
commencing 2-way merge
reduce to 1231937 relation sets and 1170189 unique ideals
commencing full merge
memory use: 156.4 MB
found 664544 cycles, need 656389
weight of 656389 cycles is about 46150723 (70.31/cycle)
distribution of cycle lengths:
1 relations: 49537
2 relations: 73714
3 relations: 83423
4 relations: 78374
5 relations: 71572
6 relations: 61363
7 relations: 51337
8 relations: 42368
9 relations: 34711
10+ relations: 109990
heaviest cycle: 20 relations
commencing cycle optimization
start with 3854757 relations
pruned 112168 relations
memory use: 119.1 MB
distribution of cycle lengths:
1 relations: 49537
2 relations: 75523
3 relations: 86761
4 relations: 80833
5 relations: 73657
6 relations: 62299
7 relations: 51926
8 relations: 42154
9 relations: 34237
10+ relations: 99462
heaviest cycle: 20 relations
RelProcTime: 251

commencing linear algebra
read 656389 cycles
cycles contain 1863372 unique relations
read 1863372 relations
using 20 quadratic characters above 536545832
building initial matrix
memory use: 241.4 MB
read 656389 cycles
matrix is 656212 x 656389 (196.5 MB) with weight 59521673 (90.68/col)
sparse part has weight 44280835 (67.46/col)
filtering completed in 2 passes
matrix is 656066 x 656243 (196.4 MB) with weight 59515687 (90.69/col)
sparse part has weight 44278419 (67.47/col)
read 656243 cycles
matrix is 656066 x 656243 (196.4 MB) with weight 59515687 (90.69/col)
sparse part has weight 44278419 (67.47/col)
saving the first 48 matrix rows for later
matrix is 656018 x 656243 (186.1 MB) with weight 46692234 (71.15/col)
sparse part has weight 42211934 (64.32/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (4 threads)
memory use: 196.3 MB
linear algebra completed 655925 of 656243 dimensions (100.0%, ETA 0h 0m)
lanczos halted after 10376 iterations (dim = 656018)
recovered 39 nontrivial dependencies
BLanczosTime: 2244

commencing square root phase
reading relations for dependency 1
read 327915 cycles
cycles contain 1156352 unique relations
read 1156352 relations
multiplying 930682 relations
multiply complete, coefficients have about 25.51 million bits
initial square root is modulo 21184151
reading relations for dependency 2
read 328610 cycles
cycles contain 1158712 unique relations
read 1158712 relations
multiplying 933210 relations
multiply complete, coefficients have about 25.58 million bits
initial square root is modulo 22136071
sqrtTime: 331
prp63 factor: 112571824006096729158420064343072159842458593951521181965941557
prp84 factor: 314897588409925172578173765266062287127679189995340781348626644393883516585549040599
elapsed time 00:47:07

32230703986429177268871925360474978795589482612383375742154368108566581849024597116200169635284139100932994062765055131467345207803223070398642917726887192536047497879559<170>

19656586353109644988628428880782557935174813548674463961<56>
1639689791881402852262937784707669473345717597586097018290930889928565528828480997000727743404647721038578540516319<115>

Number: 42229_171
N=32230703986429177268871925360474978795589482612383375742154368108566581849024597116200169635284139100932994062765055131467345207803223070398642917726887192536047497879559
  ( 170 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=19656586353109644988628428880782557935174813548674463961 (pp56)
 r2=1639689791881402852262937784707669473345717597586097018290930889928565528828480997000727743404647721038578540516319 (pp115)
Version: Msieve-1.39
Total time: 69.27 hours.
Scaled time: 178.36 units (timescale=2.575).
Factorization parameters were as follows:
n: 32230703986429177268871925360474978795589482612383375742154368108566581849024597116200169635284139100932994062765055131467345207803223070398642917726887192536047497879559
m: 10000000000000000000000000000000000
deg: 5
c5: 380
c0: 61
skew: 0.69
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 5950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 984707 x 984955
Total sieving time: 69.27 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,172,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 69.27 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

Q6600

2261134560607051504387941971176084913960194168214095110628422626773561835181015224642359416543689088797422748589084115026648756485635631752560077857<148>

18913281437497540976285948521580337669277486061522956864684667<62>
119552736952569100551840085580259327952640518096801888503661519787400289310954929399571<87>

Number: 42229_172
N=2261134560607051504387941971176084913960194168214095110628422626773561835181015224642359416543689088797422748589084115026648756485635631752560077857
  ( 148 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=18913281437497540976285948521580337669277486061522956864684667
 r2=119552736952569100551840085580259327952640518096801888503661519787400289310954929399571
Version: 
Total time: 103.28 hours.
Scaled time: 207.91 units (timescale=2.013).
Factorization parameters were as follows:
n: 2261134560607051504387941971176084913960194168214095110628422626773561835181015224642359416543689088797422748589084115026648756485635631752560077857
m: 10000000000000000000000000000000000
deg: 5
c5: 3800
c0: 61
skew: 0.44
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2750000, 6350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 851364 x 851612
Total sieving time: 103.28 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 103.28 hours.
 --------- CPU info (if available) ----------

498727733803343985916406686201817868858095399499824927632144691405835061507408671345607564879143056748707454316376271231698022757926530573505128899826581019<156>

262088313569048659823633945899080702035203<42>

1902899549437374369035951375932780225773552267114939321874434723505133347794160411662937567103887497100312817310473<115>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=113264461
Step 1 took 13984ms
Step 2 took 13062ms
********** Factor found in step 2: 262088313569048659823633945899080702035203
Found probable prime factor of 42 digits: 262088313569048659823633945899080702035203
Composite cofactor has 115 digits

GMP-ECM 6.2.1

1902899549437374369035951375932780225773552267114939321874434723505133347794160411662937567103887497100312817310473<115>

225417303760371613051787015751701<33>
3509660100567937909308937499352854860151<40>
2405268446283875882037061284565419763257923<43>

Number: 42229_174
N=1902899549437374369035951375932780225773552267114939321874434723505133347794160411662937567103887497100312817310473
  ( 115 digits)
Divisors found:
 r1=225417303760371613051787015751701
 r2=3509660100567937909308937499352854860151
 r3=2405268446283875882037061284565419763257923
Version: 
Total time: 15.58 hours.
Scaled time: 37.20 units (timescale=2.388).
Factorization parameters were as follows:
name: 42229_174
n: 1902899549437374369035951375932780225773552267114939321874434723505133347794160411662937567103887497100312817310473
skew: 13305.32
# norm 1.25e+15
c5: 34380
c4: -7761979098
c3: -40170364027258
c2: 1216859679370801634
c1: 2137936139042537055913
c0: -37443904713974567970199586
# alpha -5.26
Y1: 2839122733007
Y0: -8884403306900197748349
# Murphy_E 6.23e-10
# M 1013688461298236633418369179942359190638312815538318044515649165909945628291609200031522087797218085581150778639140
type: gnfs
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.6
alambda: 2.6
qintsize: 70000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [1400000, 2450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9217367
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 514466 x 514714
Polynomial selection time: 1.35 hours.
Total sieving time: 12.39 hours.
Total relation processing time: 0.66 hours.
Matrix solve time: 0.56 hours.
Time per square root: 0.61 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2800000,2800000,27,27,52,52,2.6,2.6,70000
total time: 15.58 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

123954420002589994986369906737346781735511930123631486118899036841536995664531062488358885884625183036641905140291938754773468404507635102978396375572759124268546598543927<171>

1740394642983557583386337035393<31>

71222018811833964655417651567953033432448526235056638873220031832622185237876237006720634532335848847765089902608605674576837157124980845239<140>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=205899236
Step 1 took 13705ms
********** Factor found in step 1: 1740394642983557583386337035393
Found probable prime factor of 31 digits: 1740394642983557583386337035393
Composite cofactor has 140 digits

GMP-ECM 6.2.1

71222018811833964655417651567953033432448526235056638873220031832622185237876237006720634532335848847765089902608605674576837157124980845239<140>

2092635534714621720979489249970548027344328637398040654719782980561<67>
34034602600565463958210966404847818480254462944708367841963187097783457799<74>

N = 71222018811833964655417651567953033432448526235056638873220031832622185237876237006720634532335848847765089902608605674576837157124980845239 (140 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=2092635534714621720979489249970548027344328637398040654719782980561 (pp67)
r2=34034602600565463958210966404847818480254462944708367841963187097783457799 (pp74)
Version: Msieve v. 1.48
Total time: 32.17 hours.
Factorization parameters were as follows:
name: (38*10^175+61)/9
n: 71222018811833964655417651567953033432448526235056638873220031832622185237876237006720634532335848847765089902608605674576837157124980845239
Y0: 100000000000000000000000000000000000
Y1: -1
c0: 61
c1: 0
c2: 0
c3: 0
c4: 0
c5: 38
skew: 1.10
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20005639
Relations: 2540210 relations
Pruned matrix : 1420343 x 1420568
Polynomial selection time: 0.00 hours.
Total sieving time: 29.24 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.66 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 32.17 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

3628836794173977247579716346613323064780861062923611917498395307580815715493648117565001027707713598345817127955454427256173845575540075363892532322313<151>

7107720184031147881053820853867764561212472508773<49>
510548628845414145754200395835416299535462823690758436726935390616482646789498317905465258231361792981<102>

SNFS difficulty: 181 digits.
Divisors found:
 r1=7107720184031147881053820853867764561212472508773 (pp49)
 r2=510548628845414145754200395835416299535462823690758436726935390616482646789498317905465258231361792981 (pp102)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 95.34 hours.
Scaled time: 183.52 units (timescale=1.925).
Factorization parameters were as follows:
n: 3628836794173977247579716346613323064780861062923611917498395307580815715493648117565001027707713598345817127955454427256173845575540075363892532322313
m: 1000000000000000000000000000000000000
deg: 5
c5: 19
c0: 305
skew: 1.74
# Murphy_E = 1.031e-10
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 8500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1400040 x 1400266
Total sieving time: 92.66 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.33 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 95.34 hours.
 --------- CPU info (if available) ----------

149806195179666546045418714927308917213082594657311677426197251125331997975561032325095340574348603875703741955258545576847243694976108719443<141>

37615930741760579786512667771617<32>
3982519964961393426250352239850021980260372565021485335616685544317069003492639457212340339450474841652800179<109>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1328187747
Step 1 took 11835ms
Step 2 took 11587ms
********** Factor found in step 2: 37615930741760579786512667771617
Found probable prime factor of 32 digits: 37615930741760579786512667771617
Probable prime cofactor 3982519964961393426250352239850021980260372565021485335616685544317069003492639457212340339450474841652800179 has 109 digits

GMP-ECM 6.2.1

1402125405761612860351616257709245219840041248615866717087577765883343435937946578531484617237542530845919397991516562760217002795866068691088898358790418472091<160>

1396808187387978485651646818396562671787334521497276902513770127522388139929<76>
1003806691871972440087179371177983030989990614060701616927946469483055935785203191379<85>

N=1402125405761612860351616257709245219840041248615866717087577765883343435937946578531484617237542530845919397991516562760217002795866068691088898358790418472091
  ( 160 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=1396808187387978485651646818396562671787334521497276902513770127522388139929 (pp76)
 r2=1003806691871972440087179371177983030989990614060701616927946469483055935785203191379 (pp85)
Version: Msieve v. 1.47
Total time:
Scaled time: 24.96 units (timescale=1.213).
Factorization parameters were as follows:
n: 1402125405761612860351616257709245219840041248615866717087577765883343435937946578531484617237542530845919397991516562760217002795866068691088898358790418472091
m: 1000000000000000000000000000000000000
deg: 5
c5: 38000
c0: 61
skew: 0.28
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 300000
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4150000, 10150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1682646 x 1682872
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000
total time:

3620826100853259415252318971357020175864675117030340440712921114729603535046371223983128510266251920216465259296120116823117977222927455667283580650811506205941<160>

946343874368294038865936276865636795043639031<45>
3826120925937458846222040856132913189206986159461815363775448604598864084177392397325186661813674702711667114218611<115>

N=3620826100853259415252318971357020175864675117030340440712921114729603535046371223983128510266251920216465259296120116823117977222927455667283580650811506205941
  ( 160 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=946343874368294038865936276865636795043639031 (pp45)
 r2=3826120925937458846222040856132913189206986159461815363775448604598864084177392397325186661813674702711667114218611 (pp115)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 141.62 hours.
Scaled time: 272.47 units (timescale=1.924).
Factorization parameters were as follows:
n: 3620826100853259415252318971357020175864675117030340440712921114729603535046371223983128510266251920216465259296120116823117977222927455667283580650811506205941
m: 10000000000000000000000000000000000000
deg: 5
c5: 19
c0: 305
skew: 1.74
# Murphy_E = 6.465e-11
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4450000, 11250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1797234 x 1797464
Total sieving time: 137.83 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 3.45 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,8900000,8900000,28,28,54,54,2.5,2.5,100000
total time: 141.62 hours.
 --------- CPU info (if available) ----------

383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383839<186>

13933545557012191347373389258569209249638126493880758322318981598763635852951224089<83>
27547789775963625085903934524733271215585771546540325688065243371806745946230760472112031271164240237751<104>

Number: 42229_186
N=383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383839
  ( 186 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=13933545557012191347373389258569209249638126493880758322318981598763635852951224089
 r2=27547789775963625085903934524733271215585771546540325688065243371806745946230760472112031271164240237751
Version: 
Total time: 289.16 hours.
Scaled time: 729.85 units (timescale=2.524).
Factorization parameters were as follows:
name: 42229_186
n: 383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383838383839
m: 10000000000000000000000000000000000000
deg: 5
c5: 380
c0: 61
skew: 0.69
type: snfs
lss: 1
rlim: 9400000
alim: 9400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9400000/9400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4700000, 8500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1786141 x 1786389
Total sieving time: 289.16 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9400000,9400000,28,28,54,54,2.5,2.5,100000
total time: 289.16 hours.
 --------- CPU info (if available) ----------

2002829236485565584268140691732974433612639511098407138412154547996959651462215442914520265753338661383557778924870801<118>

50967802797581625985097478423989003403541<41>
39295969740735967852621112679477369452786973644518223666651441987423587742861<77>

Number: 42229_187
N=2002829236485565584268140691732974433612639511098407138412154547996959651462215442914520265753338661383557778924870801
  ( 118 digits)
Divisors found:
 r1=50967802797581625985097478423989003403541
 r2=39295969740735967852621112679477369452786973644518223666651441987423587742861
Version: 
Total time: 20.95 hours.
Scaled time: 50.10 units (timescale=2.392).
Factorization parameters were as follows:
name: 42229_187
n: 2002829236485565584268140691732974433612639511098407138412154547996959651462215442914520265753338661383557778924870801
skew: 50181.87
# norm 2.28e+16
c5: 50940
c4: 19532943756
c3: -146582757507473
c2: -47355629610985993948
c1: 532654329772897813291676
c0: -41567750101170860235893120
# alpha -6.32
Y1: 7973840395103
Y0: -33030029096995216166631
# Murphy_E 3.85e-10
# M 316121329102452193654767749257544142231626197662659818279564247885496932610354662673936415656052558511673138286534187
type: gnfs
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [2000000, 3500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9431831
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 581575 x 581823
Polynomial selection time: 1.99 hours.
Total sieving time: 17.45 hours.
Total relation processing time: 0.69 hours.
Matrix solve time: 0.69 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4000000,4000000,27,27,52,52,2.4,2.4,100000
total time: 20.95 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

50328970353929123260150603510261621389037722290276598289127704164091360320570781414189111730065169182348034470566607823158409987517776864039786778743147<152>

678679971098854311553985299539022939247938133273983408817437<60>
74157146957558247362590088067624676908726090507588773300188162565805316391227922013215969831<92>

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: 3.96/0.707096       
Info:Generate Free Relations: Total cpu/real time for freerel: 84.35/7.32348   
Info:Lattice Sieving: Aggregate statistics:                                    
Info:Lattice Sieving: Total number of relations: 22135031                      
Info:Lattice Sieving: Average J: 3906.17 for 1365042 special-q, max bucket fill
-bkmult 1.0,1s:1.135340
Info:Lattice Sieving: Total time: 1.28282e+06s                                 
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 73.19/145.697
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:      
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 145.4s  
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2:
385.92/219.437
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:        
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 199.4s    
Info:Filtering - Singleton removal: Total cpu/real time for purge: 205.05/127.882
Info:Filtering - Merging: Total cpu/real time for merge: 1260.92/987.607       
Info:Filtering - Merging: Total cpu/real time for replay: 71.08/56.2849        
Info:Linear Algebra: Total cpu/real time for bwc: 120327/6620.85               
Info:Linear Algebra: Aggregate statistics:                                     
Info:Linear Algebra: Krylov: WCT time 3626.05, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (51000 iterations)                             
Info:Linear Algebra: Lingen CPU time 15988.69, WCT time 746.0                  
Info:Linear Algebra: Mksol: WCT time 2144.23, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (26000 iterations)                              
Info:Quadratic Characters: Total cpu/real time for characters: 65.71/17.0838   
Info:Square Root: Total cpu/real time for sqrt: 1319.83/219.522                
Info:HTTP server: Shutting down HTTP server                                    
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.33446e+06/48942.7
74157146957558247362590088067624676908726090507588773300188162565805316391227922013215969831 678679971098854311553985299539022939247938133273983408817437      

# Note that this SNFS polynomial is different from the suggested one; I don't have a Murphy_E for it.
~ $ cat 42229_188.poly 
n: 50328970353929123260150603510261621389037722290276598289127704164091360320570781414189111730065169182348034470566607823158409987517776864039786778743147
skew: 0.36
c0: 3050
c5: 19
Y0: -100000000000000000000000000000000000000
Y1: 1
# f(x) = 19*x^5+3050
# g(x) = x-100000000000000000000000000000000000000

CADO-NFS-3.0.0-dev

Docker container running on 1 AMD Ryzen Threadripper 2990WX 32-Core Processor with 64GB RAM

783034126990707713927933709106897056760413590587902824800190946124508962739224136756288881783968699293843604328012615358083102883455448710350197<144>

35608322439949889018069284333894662675414920512258259710309410519743<68>
21990199855980906031010698591397291928930859090010544525318896013685615333579<77>

n: 783034126990707713927933709106897056760413590587902824800190946124508962739224136756288881783968699293843604328012615358083102883455448710350197
skew: 230692.04
c0: -19841313565853588932259823424640
c1: -969992035047113738267645096
c2: -14127216308719060944325
c3: 49394939173565408
c4: 117303500124
c5: 110160
Y0: -7147963421742884336462328437
Y1: 911371185563523906713
# MurphyE (Bf=2.000e+07,Bg=1.000e+07,area=6.711e+14) = 4.11e-10
# found by revision 29a7a7cc3
# f(x) = 110160*x^5+117303500124*x^4+49394939173565408*x^3-14127216308719060944325*x^2-969992035047113738267645096*x-19841313565853588932259823424640
# g(x) = 911371185563523906713*x-7147963421742884336462328437

Info:Square Root: Total cpu/real time for sqrt: 4263.25/605.581
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): 78560/43.920/51.870/57.550/0.932
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 78560/41.730/46.501/52.660/1.315
Info:Polynomial Selection (size optimized): Total time: 43284
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1721.08
Info:Polynomial Selection (root optimized): Rootsieve time: 1720.38
Info:Generate Factor Base: Total cpu/real time for makefb: 23.75/6.73655
Info:Generate Free Relations: Total cpu/real time for freerel: 600.55/85.803
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 46602592
Info:Lattice Sieving: Average J: 3796.49 for 843749 special-q, max bucket fill -bkmult 1.0,1s:1.305700
Info:Lattice Sieving: Total time: 539317s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 230.31/251.635
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 249.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 2160.99/1174.1
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 987.3000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 2104.42/1001.57
Info:Filtering - Merging: Total cpu/real time for merge: 5535.45/5317.93
Info:Filtering - Merging: Total cpu/real time for replay: 430.86/442.995
Info:Linear Algebra: Total cpu/real time for bwc: 169339/23467.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 14759.69, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (102000 iterations)
Info:Linear Algebra: Lingen CPU time 420.62, WCT time 78.53
Info:Linear Algebra: Mksol: WCT time 8622.65, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (51000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 139.11/35.0816
Info:Square Root: Total cpu/real time for sqrt: 4263.25/605.581
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 2.32e+06/60202.5
35608322439949889018069284333894662675414920512258259710309410519743 21990199855980906031010698591397291928930859090010544525318896013685615333579

CADO-NFS 3.0.0 (revision 29a7a7cc3)

6 machines with AMD Ryzen 7 1700X Eight-Core Processor and 64GB RAM running Debian 9.4

1170621516828999915752811428621643260008689016980740323033377436641577186588977125042505014309307950029648115601222737074851190822958411727624029014953046163<157>

545727106378544402581198938241787529155796117638113698628812352215011<69>
2145067567922852259343610366754280618458015438050116672902575344518774133574475120722833<88>

1170621516828999915752811428621643260008689016980740323033377436641577186588977125042505014309307950029648115601222737074851190822958411727624029014953046163=545727106378544402581198938241787529155796117638113698628812352215011*2145067567922852259343610366754280618458015438050116672902575344518774133574475120722833

cado polynomial
n: 1170621516828999915752811428621643260008689016980740323033377436641577186588977125042505014309307950029648115601222737074851190822958411727624029014953046163
skew: 0.74
type: snfs
c0: 61
c6: 380
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 380*x^6+61
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12200000
tasks.lim1 = 12200000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2145067567922852259343610366754280618458015438050116672902575344518774133574475120722833 545727106378544402581198938241787529155796117638113698628812352215011
Info:Square Root: Total cpu/real time for sqrt: 660.21/199.808
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 475.32/452.552
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 367.2s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 107.9/123.059
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 122.10000000000002s
Info:Filtering - Merging: Merged matrix has 2103943 rows and total weight 358524349 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 573.19/158.906
Info:Filtering - Merging: Total cpu/real time for replay: 81.93/70.3289
Info:Linear Algebra: Total cpu/real time for bwc: 73490.4/18861.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 47075.04, WCT time 12026.1, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (65792 iterations)
Info:Linear Algebra: Lingen CPU time 474.63, WCT time 120.15
Info:Linear Algebra: Mksol: CPU time 25533.95,  WCT time 6541.35, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (33024 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 7.87/3.34466
Info:Quadratic Characters: Total cpu/real time for characters: 74.14/32.2362
Info:Filtering - Singleton removal: Total cpu/real time for purge: 365.2/398.086
Info:Square Root: Total cpu/real time for sqrt: 660.21/199.808
Info:Generate Free Relations: Total cpu/real time for freerel: 183.78/47.9253
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25560180
Info:Lattice Sieving: Average J: 1893.55 for 2073762 special-q, max bucket fill -bkmult 1.0,1s:1.181100
Info:Lattice Sieving: Total time: 377985s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 804635/51981.1
Info:root: Cleaning up computation data in /tmp/cado.mipt2a3w
2145067567922852259343610366754280618458015438050116672902575344518774133574475120722833 545727106378544402581198938241787529155796117638113698628812352215011

cado-nfs-3.0.0

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

4222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229<196>

115667220018910122248194085154980724584857915458079192026711121<63>
36503187519609639479341262940543033550745399336765316360179329732149272103637012814543123192279806906800310222096607380858092086521349<134>

Number: 42229_195
N=4222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229
  ( 196 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=115667220018910122248194085154980724584857915458079192026711121
 r2=36503187519609639479341262940543033550745399336765316360179329732149272103637012814543123192279806906800310222096607380858092086521349
Version: 
Total time: 671.52 hours.
Scaled time: 1286.64 units (timescale=1.916).
Factorization parameters were as follows:
n: 4222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229
m: 1000000000000000000000000000000000000000
deg: 5
c5: 38
c0: 61
skew: 1.10
type: snfs
lss: 1
rlim: 13200000
alim: 13200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5Factor base limits: 13200000/13200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6600000, 13100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2267319 x 2267567
Total sieving time: 671.52 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,196,5,0,0,0,0,0,0,0,0,13200000,13200000,28,28,55,55,2.5,2.5,100000
total time: 671.52 hours.
 --------- CPU info (if available) ----------

166732033055463091550903447619018600526320447253413942436057762193055239553862902449924381193679731685091332567720307531370383927514744193980749<144>

20765505069091683457750116754135592696773666079<47>
8029278965318045040810599195817798415530186801841637740437643938928841352917484948239936990963731<97>

166732033055463091550903447619018600526320447253413942436057762193055239553862902449924381193679731685091332567720307531370383927514744193980749=20765505069091683457750116754135592696773666079*8029278965318045040810599195817798415530186801841637740437643938928841352917484948239936990963731

Info:Square Root: Factors: 20765505069091683457750116754135592696773666079 8029278965318045040810599195817798415530186801841637740437643938928841352917484948239936990963731
Info:Square Root: Total cpu/real time for sqrt: 11986.2/1666.4
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): 78196/41.530/51.626/56.980/0.938
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 78196/41.440/46.213/52.340/1.250
Info:Polynomial Selection (size optimized): Total time: 38986.7
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2077.7
Info:Polynomial Selection (root optimized): Rootsieve time: 2076.2
Info:Generate Factor Base: Total cpu/real time for makefb: 47.73/8.20452
Info:Generate Free Relations: Total cpu/real time for freerel: 1184.4/159.988
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 47402249
Info:Lattice Sieving: Average J: 3798.29 for 929807 special-q, max bucket fill -bkmult 1.0,1s:1.213930
Info:Lattice Sieving: Total time: 438961s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 320.37/233.74
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 232.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 2346.14/1156.46
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 978.4999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1816.04/1567.84
Info:Filtering - Merging: Total cpu/real time for merge: 3236.98/3339.73
Info:Filtering - Merging: Total cpu/real time for replay: 355.15/437.867
Info:Linear Algebra: Total cpu/real time for bwc: 246219/44052.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 28156.14, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (100000 iterations)
Info:Linear Algebra: Lingen CPU time 480.3, WCT time 111.08
Info:Linear Algebra: Mksol: WCT time 15395.66, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (50000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 138.35/34.7738
Info:Square Root: Total cpu/real time for sqrt: 11986.2/1666.4
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.93358e+06/45758.9
20765505069091683457750116754135592696773666079 8029278965318045040810599195817798415530186801841637740437643938928841352917484948239936990963731

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)

54371553188727828873274341752479741025922555270297060923674463783583162509950181471475991963230724653434017529812706750769842504962828665870594251328015123641059030631<167>

1563322064302543125031562881776551<34>
34779495812326443006814074524883891435211027653345435923183083304376162478788687196896530339881950489468123767084477040347516008630081<134>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=549452211
Step 1 took 25475ms
Step 2 took 14493ms
********** Factor found in step 2: 1563322064302543125031562881776551
Found probable prime factor of 34 digits: 1563322064302543125031562881776551
Probable prime cofactor 34779495812326443006814074524883891435211027653345435923183083304376162478788687196896530339881950489468123767084477040347516008630081 has 134 digits

GMP-ECM 6.3

4873110651752707581818950606454151686867421597987229315086029508802794894416409121239630818100822038684742269702024732032838335476638905060190806157029726184066812176933757277<175>

235356604637762885264231838281616067583369<42>
20705221590245607556389814793105955850134894447765845374043205449590328908949704553627868927987906141398858501965746802508590711546933<134>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4186808968
Step 1 took 70200ms
Step 2 took 22589ms
********** Factor found in step 2: 235356604637762885264231838281616067583369
Found probable prime factor of 42 digits: 235356604637762885264231838281616067583369

140740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743<204>

6856113896741631556597576234948868923421<40>
20527771688219442244535154146181623000054303924350561860790279591622429058862241151966970921841993193628897638361564188894699065035168720938479822972805057054160883<164>

Number: 42229_203
N=140740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743
  ( 204 digits)
SNFS difficulty: 205 digits.
Divisors found:
 r1=6856113896741631556597576234948868923421
 r2=20527771688219442244535154146181623000054303924350561860790279591622429058862241151966970921841993193628897638361564188894699065035168720938479822972805057054160883
Version: 
Total time: 1090.97 hours.
Scaled time: 2159.02 units (timescale=1.979).
Factorization parameters were as follows:
n: 140740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743
m: 50000000000000000000000000000000000000000
deg: 5
c5: 304
c0: 1525
skew: 1.38
type: snfs
lss: 1
rlim: 19000000
alim: 19000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6Factor base limits: 19000000/19000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [9500000, 20100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3217971 x 3218219
Total sieving time: 1090.97 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,205,5,0,0,0,0,0,0,0,0,19000000,19000000,29,29,56,56,2.6,2.6,100000
total time: 1090.97 hours.
 --------- CPU info (if available) ----------

2568939641075105630577865457086241354362500166153495772886449023670458981353818933105040106819187594102872385338262568741217081681324872095989<142>

10597657837025879223286709859107082243034193588123758378327139<62>
242406358138851878305784930540114582013072589671119042832449758329846359798782151<81>

Number: 42229_204
N = 2568939641075105630577865457086241354362500166153495772886449023670458981353818933105040106819187594102872385338262568741217081681324872095989 (142 digits)
Divisors found:
r1=10597657837025879223286709859107082243034193588123758378327139 (pp62)
r2=242406358138851878305784930540114582013072589671119042832449758329846359798782151 (pp81)
Version: Msieve v. 1.48
Total time: 97.29 hours.
Factorization parameters were as follows:
n: 2568939641075105630577865457086241354362500166153495772886449023670458981353818933105040106819187594102872385338262568741217081681324872095989
Y0: -3073946546292720885110163118
Y1: 3995824999552507
c0: -3243935003904934640662510925429517675
c1: -6112263728012374342489660484997
c2: -1412878420316890136236515
c3: 338385530139704861
c4: -58099393834
c5: 9360
skew: 4217656.14
type: gnfs
Factor base limits: 13600000/13600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23393096
Relations: 3888210 relations
Pruned matrix : 2345907 x 2346134
Polynomial selection time: 0.00 hours.
Total sieving time: 92.43 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 3.97 hours.
time per square root: 0.79 hours.
Prototype def-par.txt line would be: gnfs,141,5,65,2000,1e-05,0.28,250,20,50000,3600,13600000,13600000,28,28,56,56,2.5,2.5,100000
total time: 97.29 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.41GHz

ggnfs

Windows 7
Core 2 i7 3.4 GHz

6054924089253045237021290090992870689886288315376717316704329410015058020671111456205752156639372709027194361226114054198704230581825578986300456030559621101225100492038740041983608345711877<190>

604708101318908926128095438473785832727<39>

10012970019827499748751154328820037782074317676296066223065340785954584373285105326974194401949500349014357279371189711576864463523554910181915957776451<152>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3954599440
Step 1 took 16015ms
Step 2 took 15053ms
********** Factor found in step 2: 604708101318908926128095438473785832727
Found probable prime factor of 39 digits: 604708101318908926128095438473785832727
Composite cofactor has 152 digits

GMP-ECM 6.2.1

10012970019827499748751154328820037782074317676296066223065340785954584373285105326974194401949500349014357279371189711576864463523554910181915957776451<152>

8836072492850943848913778283554641769<37>
1133192380203846868030055458084614818196466529954483681745532777607270404693466690139582310009550942813624243634379<115>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2437387989
Step 1 took 6053ms
Step 2 took 4789ms
********** Factor found in step 2: 8836072492850943848913778283554641769
Found probable prime factor of 37 digits: 8836072492850943848913778283554641769
Probable prime cofactor 1133192380203846868030055458084614818196466529954483681745532777607270404693466690139582310009550942813624243634379 has 115 digits

GMP-ECM 6.3

3696087912814396377812343534615217819303183530224422199013202770636551822238187855131097187685656458052814359373427176507848771917619061705604198358385605959546282447<166>

15438638092651041228078542168140521700833999975500061208468760628767<68>
239405049242897546415588563178510480896080716769975513998554747962187332641583511348065111864809041<99>

Number: n
N=3696087912814396377812343534615217819303183530224422199013202770636551822238187855131097187685656458052814359373427176507848771917619061705604198358385605959546282447  ( 166 digits)
SNFS difficulty: 207 digits.
Divisors found:

Sat Jul 27 01:08:38 2024  prp68 factor: 15438638092651041228078542168140521700833999975500061208468760628767
Sat Jul 27 01:08:38 2024  prp99 factor: 239405049242897546415588563178510480896080716769975513998554747962187332641583511348065111864809041
Sat Jul 27 01:08:38 2024  elapsed time 05:55:54 (Msieve 1.44 - dependency 7)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.126).
Factorization parameters were as follows:
#
# N = 38x10^206+61 = 42(205)9
#
n: 3696087912814396377812343534615217819303183530224422199013202770636551822238187855131097187685656458052814359373427176507848771917619061705604198358385605959546282447
m: 100000000000000000000000000000000000000000
deg: 5
c5: 380
c0: 61
skew: 0.69
# Murphy_E = 6.764e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
q0: 50000000
qintsize: 50000
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [50000000, 88000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4684673 hash collisions in 23907330 relations (19513673 unique)
Msieve: matrix is 3126339 x 3126564 (880.9 MB)

Sieving start time: 2024/07/25 22:35:03
Sieving end time  : 2024/07/26 19:00:29

Total sieving time: 20hrs 25min 26secs.

Total relation processing time: 5hrs 21min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 28min 10sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

195887538559787666361589228892546996696908753823814891332265449455563943275770416762203280121737088528876795175109413709326991660210966185223624318691349511275654476203<168>

116843434294294254635850098921651455842546490106665935268992385469218143806611<78>
1676495900200986518522567279008168251224429480821614960712050310461115823938064598037857673<91>

11/08/24 22:52:30 v1.34.5 @ RYZEN-9,
11/08/24 22:52:30 v1.34.5 @ RYZEN-9, ****************************
11/08/24 22:52:30 v1.34.5 @ RYZEN-9, Starting factorization of 380000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000061
11/08/24 22:52:30 v1.34.5 @ RYZEN-9, using pretesting plan: normal
11/08/24 22:52:30 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
11/08/24 22:52:30 v1.34.5 @ RYZEN-9, ****************************
11/08/24 22:52:30 v1.34.5 @ RYZEN-9, div: found prime factor = 3
11/08/24 22:52:30 v1.34.5 @ RYZEN-9, div: found prime factor = 3
11/08/24 22:52:30 v1.34.5 @ RYZEN-9, div: found prime factor = 11
11/08/24 22:52:30 v1.34.5 @ RYZEN-9, div: found prime factor = 31
11/08/24 22:52:30 v1.34.5 @ RYZEN-9, div: found prime factor = 199
11/08/24 22:52:30 v1.34.5 @ RYZEN-9, div: found prime factor = 4733
11/08/24 22:52:30 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C201
11/08/24 22:52:30 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C201
11/08/24 22:52:30 v1.34.5 @ RYZEN-9, prp5 = 46133
11/08/24 22:52:30 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C196
11/08/24 22:52:30 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C196
11/08/24 22:52:30 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C196
11/08/24 22:52:30 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
11/08/24 22:52:30 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 60.31
11/08/24 22:52:30 v1.34.5 @ RYZEN-9, Finished 30 curves using Lenstra ECM method on C196 input, B1=2K, B2=gmp-ecm default
11/08/24 22:52:30 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18
11/08/24 22:52:30 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 60.31
11/08/24 22:52:33 v1.34.5 @ RYZEN-9, Finished 74 curves using Lenstra ECM method on C196 input, B1=11K, B2=gmp-ecm default
11/08/24 22:52:33 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24
11/08/24 22:52:33 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 60.31
11/08/24 22:53:04 v1.34.5 @ RYZEN-9, Finished 214 curves using Lenstra ECM method on C196 input, B1=50K, B2=gmp-ecm default
11/08/24 22:53:04 v1.34.5 @ RYZEN-9, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C196
11/08/24 22:53:05 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 25.33
11/08/24 22:53:05 v1.34.5 @ RYZEN-9, scheduled 430 curves at B1=250000 toward target pretesting depth of 60.31
11/08/24 22:54:52 v1.34.5 @ RYZEN-9, prp29 = 14547173573736565000364445893 (curve 161 stg2 B1=250000 sigma=676745419 thread=0)
11/08/24 22:54:52 v1.34.5 @ RYZEN-9, Finished 161 curves using Lenstra ECM method on C196 input, B1=250K, B2=gmp-ecm default
11/08/24 22:54:52 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 27.20
11/08/24 22:54:52 v1.34.5 @ RYZEN-9, scheduled 269 curves at B1=250000 toward target pretesting depth of 51.69
11/08/24 22:57:12 v1.34.5 @ RYZEN-9, Finished 269 curves using Lenstra ECM method on C168 input, B1=250K, B2=gmp-ecm default
11/08/24 22:57:12 v1.34.5 @ RYZEN-9, pm1: starting B1 = 15M, B2 = gmp-ecm default on C168
11/08/24 22:57:15 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 30.45
11/08/24 22:57:15 v1.34.5 @ RYZEN-9, scheduled 904 curves at B1=1000000 toward target pretesting depth of 51.69
11/08/24 23:14:05 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c210: 380000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000061
11/08/24 23:14:05 v1.34.5 @ RYZEN-9, nfs: input divides 38*10^208 + 61
11/08/24 23:14:05 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 195887538559787666361589228892546996696908753823814891332265449455563943275770416762203280121737088528876795175109413709326991660210966185223624318691349511275654476203
11/08/24 23:14:05 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c168: 195887538559787666361589228892546996696908753823814891332265449455563943275770416762203280121737088528876795175109413709326991660210966185223624318691349511275654476203
11/08/24 23:14:05 v1.34.5 @ RYZEN-9, gen: best 3 polynomials:
n: 195887538559787666361589228892546996696908753823814891332265449455563943275770416762203280121737088528876795175109413709326991660210966185223624318691349511275654476203
# 38*10^208+61, difficulty: 212.58, anorm: 3.04e+033, rnorm: 1.90e+047
# scaled difficulty: 214.88, suggest sieving rational side
# size = 1.393e-014, alpha = -2.297, combined = 5.875e-012, rroots = 1
type: snfs
size: 212
skew: 0.2761
c5: 38000
c0: 61
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 195887538559787666361589228892546996696908753823814891332265449455563943275770416762203280121737088528876795175109413709326991660210966185223624318691349511275654476203
# 38*10^208+61, difficulty: 210.18, anorm: 1.08e+033, rnorm: 2.69e+047
# scaled difficulty: 212.58, suggest sieving rational side
# size = 1.393e-014, alpha = -1.604, combined = 5.822e-012, rroots = 1
type: snfs
size: 210
skew: 0.5523
c5: 2375
c0: 122
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
n: 195887538559787666361589228892546996696908753823814891332265449455563943275770416762203280121737088528876795175109413709326991660210966185223624318691349511275654476203
# 38*10^208+61, difficulty: 210.00, anorm: 4.81e+038, rnorm: 6.55e+040
# scaled difficulty: 210.00, suggest sieving algebraic side
# size = 1.307e-010, alpha = -1.173, combined = 4.071e-012, rroots = 0
type: snfs
size: 210
skew: 2.3313
c6: 19
c0: 3050
Y1: -1
Y0: 100000000000000000000000000000000000
m: 100000000000000000000000000000000000
11/08/24 23:14:08 v1.34.5 @ RYZEN-9, test: fb generation took 2.0313 seconds
11/08/24 23:14:08 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 23800000-23802000
skew: 0.2761
c5: 38000
c0: 61
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 23800000
alim: 23800000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
11/08/24 23:17:44 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
11/08/24 23:17:45 v1.34.5 @ RYZEN-9, test: fb generation took 1.7813 seconds
11/08/24 23:17:45 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000
skew: 0.5523
c5: 2375
c0: 122
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
11/08/24 23:21:06 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
11/08/24 23:21:08 v1.34.5 @ RYZEN-9, test: fb generation took 2.4688 seconds
11/08/24 23:21:08 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the algebraic side over range 21400000-21402000
skew: 2.3313
c6: 19
c0: 3050
Y1: -1
Y0: 100000000000000000000000000000000000
m: 100000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
11/08/24 23:24:12 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
11/08/24 23:24:12 v1.34.5 @ RYZEN-9, gen: selected polynomial:
n: 195887538559787666361589228892546996696908753823814891332265449455563943275770416762203280121737088528876795175109413709326991660210966185223624318691349511275654476203
# 38*10^208+61, difficulty: 210.18, anorm: 1.08e+033, rnorm: 2.69e+047
# scaled difficulty: 212.58, suggest sieving rational side
# size = 1.393e-014, alpha = -1.604, combined = 5.822e-012, rroots = 1
type: snfs
size: 210
skew: 0.5523
c5: 2375
c0: 122
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
11/10/24 03:17:59 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
11/10/24 03:20:06 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 22216777
11/10/24 04:57:08 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
11/10/24 04:59:25 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 23380238
11/10/24 06:49:22 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
11/10/24 06:51:47 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 24700697
11/10/24 08:42:23 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
11/10/24 08:44:52 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 26008843
11/10/24 10:49:55 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
11/10/24 10:54:27 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra
11/10/24 14:25:02 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt
11/10/24 14:29:02 v1.34.5 @ RYZEN-9, prp91 = 1676495900200986518522567279008168251224429480821614960712050310461115823938064598037857673
11/10/24 14:29:02 v1.34.5 @ RYZEN-9, prp78 = 116843434294294254635850098921651455842546490106665935268992385469218143806611
11/10/24 14:29:02 v1.34.5 @ RYZEN-9, NFS elapsed time = 141297.0913 seconds.
11/10/24 14:29:02 v1.34.5 @ RYZEN-9,
11/10/24 14:29:02 v1.34.5 @ RYZEN-9,
11/08/24 23:24:12 v1.34.5 @ RYZEN-9, test: test sieving took 606.78 seconds

YAFU

2328414544038633610308085505759859059635134809458531533537912776042749570946673940060087327716471646591860456041499476663712136041736807214859379185186915427282682098801365475099839133<184>

811703325295619163137061394988012750289797818554453011761406357071906896604875536747665438011944920719066202843763781884778922320388749339733338810383896019727200584746103998741937<180>

3369764504719999411895825141128636697<37>

240878353415698182076679617370550003755638460476316376802156218382143176539468340202604322226718869880889256681790568392219264266793124431352921<144>

GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 811703325295619163137061394988012750289797818554453011761406357071906896604875536747665438011944920719066202843763781884778922320388749339733338810383896019727200584746103998741937 (180 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=533111123
Step 1 took 24040ms
********** Factor found in step 1: 3369764504719999411895825141128636697
Found probable prime factor of 37 digits: 3369764504719999411895825141128636697
Composite cofactor 240878353415698182076679617370550003755638460476316376802156218382143176539468340202604322226718869880889256681790568392219264266793124431352921 has 144 digits

GMP-ECM 6.4.4

240878353415698182076679617370550003755638460476316376802156218382143176539468340202604322226718869880889256681790568392219264266793124431352921<144>

3369462259132784366613053782786901522408492238662487029<55>
71488663439635696831182051399200715988745834837015961369904848708270100564967711462206549<89>

PID1707 2020-03-24 15:15:09,844 Debug:root: Root parameter dictionary:
N = 240878353415698182076679617370550003755638460476316376802156218382143176539468340202604322226718869880889256681790568392219264266793124431352921
name = 42229_211
tasks.I = 14
tasks.lim0 = 10000000
tasks.lim1 = 20000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.qmin = 2000000
tasks.threads = 6
tasks.wutimeout = 1800
tasks.filter.target_density = 145.0
tasks.filter.purge.keep = 175
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.threads = 6
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 300000
tasks.polyselect.admax = 20e4
tasks.polyselect.admin = 12600
tasks.polyselect.adrange = 420
tasks.polyselect.degree = 5
tasks.polyselect.incr = 60
tasks.polyselect.nq = 15625
tasks.polyselect.nrkeep = 100
tasks.polyselect.threads = 2
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 58
tasks.sieve.qrange = 5000
tasks.sieve.las.threads = 2
PID20896 2020-03-24 15:48:42,814 Info:Polynomial Selection (root optimized): Best polynomial is:
n: 240878353415698182076679617370550003755638460476316376802156218382143176539468340202604322226718869880889256681790568392219264266793124431352921
skew: 129410.039
c0: -46327348482866126266030769294928
c1: 1534243101616679950968743694
c2: 82637688610151598766177
c3: -238683069131283454
c4: -2237318141814
c5: -2494800
Y0: -4302771628375702051370457795
Y1: 3469045152579272251759
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=2.684e+14) = 2.145e-07
PID20896 2020-03-24 20:54:56,723 Info:Square Root: Factors: 3369462259132784366613053782786901522408492238662487029 71488663439635696831182051399200715988745834837015961369904848708270100564967711462206549
PID20896 2020-03-24 20:54:56,723 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID20896 2020-03-24 20:54:56,723 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID20896 2020-03-24 20:54:56,723 Info:Polynomial Selection (size optimized): potential collisions: 144726
PID20896 2020-03-24 20:54:56,723 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 146601/42.100/52.208/59.210/1.234
PID20896 2020-03-24 20:54:56,724 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 121844/41.590/46.101/52.510/0.961
PID20896 2020-03-24 20:54:56,724 Info:Polynomial Selection (size optimized): Total time: 63364.2
PID20896 2020-03-24 20:54:56,724 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID20896 2020-03-24 20:54:56,724 Info:Polynomial Selection (root optimized): Total time: 1766.95
PID20896 2020-03-24 20:54:56,724 Info:Polynomial Selection (root optimized): Rootsieve time: 1764.62
PID20896 2020-03-24 20:54:56,724 Info:Generate Factor Base: Total cpu/real time for makefb: 14.39/2.74291
PID20896 2020-03-24 20:54:56,724 Info:Generate Free Relations: Total cpu/real time for freerel: 341.2/58.6475
PID20896 2020-03-24 20:54:56,724 Info:Lattice Sieving: Aggregate statistics:
PID20896 2020-03-24 20:54:56,724 Info:Lattice Sieving: Total number of relations: 47760896
PID20896 2020-03-24 20:54:56,724 Info:Lattice Sieving: Average J: 7636.34 for 401490 special-q, max bucket fill -bkmult 1.0,1s:1.143460
PID20896 2020-03-24 20:54:56,724 Info:Lattice Sieving: Total time: 429300s
PID20896 2020-03-24 20:54:56,724 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 73.84/187.699
PID20896 2020-03-24 20:54:56,724 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID20896 2020-03-24 20:54:56,724 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 186.10000000000002s
PID20896 2020-03-24 20:54:56,724 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 661.46/396.142
PID20896 2020-03-24 20:54:56,724 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID20896 2020-03-24 20:54:56,724 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 332.79999999999995s
PID20896 2020-03-24 20:54:56,725 Info:Filtering - Singleton removal: Total cpu/real time for purge: 466.43/400.023
PID20896 2020-03-24 20:54:56,725 Info:Filtering - Merging: Total cpu/real time for merge: 188.43/42.7275
PID20896 2020-03-24 20:54:56,725 Info:Filtering - Merging: Total cpu/real time for replay: 64.05/63.8403
PID20896 2020-03-24 20:54:56,725 Info:Linear Algebra: Total cpu/real time for bwc: 51974.1/9079.94
PID20896 2020-03-24 20:54:56,725 Info:Linear Algebra: Aggregate statistics:
PID20896 2020-03-24 20:54:56,725 Info:Linear Algebra: Krylov: WCT time 5750.23, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (73728 iterations)
PID20896 2020-03-24 20:54:56,725 Info:Linear Algebra: Lingen CPU time 297.28, WCT time 55.82
PID20896 2020-03-24 20:54:56,725 Info:Linear Algebra: Mksol: WCT time 3141.77, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36864 iterations)
PID20896 2020-03-24 20:54:56,725 Info:Quadratic Characters: Total cpu/real time for characters: 76.73/24.0389
PID20896 2020-03-24 20:54:56,725 Info:Square Root: Total cpu/real time for sqrt: 2211.9/398.961
PID20896 2020-03-24 20:54:56,725 Info:HTTP server: Shutting down HTTP server
PID20896 2020-03-24 20:54:56,970 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 956479/20309.2

CADO-NFS

1631119217125355199579172675907116964076813073985692089857409909676380947790586953905576717626701559747910630165941246012974361650438049160082179710850077334351079125953506443192372177393<187>

2758298880433860990878105253797411539<37>
591349700605610814923345612661255276930154283396087385331859043553136841094215694097457133749265672609175924386753916730787995364355971722893455836587<150>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3777645600
Step 1 took 70590ms
Step 2 took 23189ms
********** Factor found in step 2: 2758298880433860990878105253797411539
Found probable prime factor of 37 digits: 2758298880433860990878105253797411539

40401484770641662518790328610622536707958774435968554342620599268430473658986879078550436105677600168722395081611676590755966231238065530990756145330127218192391197879547767691<176>

19262803750149683736621477037523730168803<41>
2097383397280768036416167889873709174363599416548141586997121385589537038442571548336856710429409889226204163638112572681401089968304697<136>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2060041135
Step 1 took 71377ms
Step 2 took 22419ms
********** Factor found in step 2: 19262803750149683736621477037523730168803
Found probable prime factor of 41 digits: 19262803750149683736621477037523730168803

223588299306731286904837822025512696226896677003259065473632757383519089353862210006164819540974272388287409621416404119385954555853388526691053900239675165595012096240846009730654457031661365926172998057343<207>

474352865596352128963174249123576435494459078180887<51>
2210334259579152740104566278297083710306801461483172039098597582851<67>
213250269579582302962594451744568983372529629551852733225911062169150592280902141481297139<90>

#
# N = 38x10^215+61 = 42(214)9
#
n: 223588299306731286904837822025512696226896677003259065473632757383519089353862210006164819540974272388287409621416404119385954555853388526691053900239675165595012096240846009730654457031661365926172998057343
m: 1000000000000000000000000000000000000
deg: 6
c6: 19
c0: 305
skew: 1.59
# Murphy_E = 3.174e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6



GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 223588299306731286904837822025512696226896677003259065473632757383519089353862210006164819540974272388287409621416404119385954555853388526691053900239675165595012096240846009730654457031661365926172998057343 (207 digits)
Using B1=800280000, B2=15892582605916, polynomial Dickson(30), sigma=1299599230
Step 1 took 4517130ms
Step 2 took 822740ms
********** Factor found in step 2: 474352865596352128963174249123576435494459078180887
Found probable prime factor of 51 digits: 474352865596352128963174249123576435494459078180887
Composite cofactor 471354376716240769103392238066426562899863326755801899023122147821374516397758453719489502673101200543682143022000212093597742178016867975221939529501763289 has 156 digits



Number: n
N=471354376716240769103392238066426562899863326755801899023122147821374516397758453719489502673101200543682143022000212093597742178016867975221939529501763289
  ( 156 digits)
SNFS difficulty: 217 digits.
Divisors found:

Fri Dec 20 01:21:10 2019  p67 factor: 2210334259579152740104566278297083710306801461483172039098597582851
Fri Dec 20 01:21:10 2019  p90 factor: 213250269579582302962594451744568983372529629551852733225911062169150592280902141481297139
Fri Dec 20 01:21:10 2019  elapsed time 05:36:55 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.135).
Factorization parameters were as follows:
#
# N = 38x10^215+61 = 42(214)9
#
n: 471354376716240769103392238066426562899863326755801899023122147821374516397758453719489502673101200543682143022000212093597742178016867975221939529501763289
#
# n: 223588299306731286904837822025512696226896677003259065473632757383519089353862210006164819540974272388287409621416404119385954555853388526691053900239675165595012096240846009730654457031661365926172998057343
#
m: 1000000000000000000000000000000000000
deg: 6
c6: 19
c0: 305
skew: 1.59
# Murphy_E = 3.174e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 29000000/29000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 68900000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 11485448 hash collisions in 68629227 relations (59900298 unique)
Msieve: matrix is 3577046 x 3577271 (1244.4 MB)

Sieving start time: 2019/12/18 09:37:26
Sieving end time  : 2019/12/19 19:41:57

Total sieving time: 34hrs 4min 31secs.

Total relation processing time: 5hrs 9min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 37sec.

Prototype def-par.txt line would be:
snfs,217,6,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149711] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283564K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2432K init, 2388K bss, 419896K reserved, 0K cma-reserved)
[    0.184572] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.54 BogoMIPS (lpj=11977084)
[    0.182221] smpboot: Total of 16 processors activated (95816.67 BogoMIPS)

16945620876723018490367671797004432552791554515042489501256526941838123174344301218134398214323027317791113668609421943190233711507647972059577131144870263829705668923207287984515785227927609772877<197>

311210757298822443214979307569539047530124866778034773971818754438682823161667139312147903513833699397415189524510013106198632788079728876420949078083549160832713274327<168>

68070084080808045714715443464743408766326634819055285211575780110408505043677662204418400890215412910664927256939502822019514987981434847629313829666054722072990814275239738229624019944115426884645289<200>

111978384993590792411440810432429556967239658276583287341<57>
607885924455010784400139516353721045937812360309460025169881207196116316242626846188492431157836772307215353354022567820386576779544639336136429<144>

Number: 42229_219
N = 68070084080808045714715443464743408766326634819055285211575780110408505043677662204418400890215412910664927256939502822019514987981434847629313829666054722072990814275239738229624019944115426884645289 (200 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=111978384993590792411440810432429556967239658276583287341 (pp57)
r2=607885924455010784400139516353721045937812360309460025169881207196116316242626846188492431157836772307215353354022567820386576779544639336136429 (pp144)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 71.56 hours.
Factorization parameters were as follows:
n: 68070084080808045714715443464743408766326634819055285211575780110408505043677662204418400890215412910664927256939502822019514987981434847629313829666054722072990814275239738229624019944115426884645289
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 19
c0: 305
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: 7963436 relations
Pruned matrix : 6862605 x 6862831
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 36.20 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 34.79 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 71.56 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

66054902007746690496570536653144864923719876515220946675816320520024127484680105166920348866454867637851483398419653191784589759426459831851472350215806327668393493557595093479564924458144342371212384258385589023<212>

689622625434286763979528615291405041174887<42>

95784128263119139098112418986270149316652096042704911480429826033451330078149150933849268718321239562225026148181515356722061741103358409093094930215974899320940095937929<170>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1430587987
Step 1 took 83873ms
Step 2 took 27326ms
********** Factor found in step 2: 689622625434286763979528615291405041174887
Found probable prime factor of 42 digits: 689622625434286763979528615291405041174887

95784128263119139098112418986270149316652096042704911480429826033451330078149150933849268718321239562225026148181515356722061741103358409093094930215974899320940095937929<170>

15652501745808995212246053899148876279456704413567725550288445723648457787515773093<83>
6119413357597332948903729848426006400238755585915165402658420615743605368974856485548053<88>

Number: 42229_220
N = 95784128263119139098112418986270149316652096042704911480429826033451330078149150933849268718321239562225026148181515356722061741103358409093094930215974899320940095937929 (170 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=15652501745808995212246053899148876279456704413567725550288445723648457787515773093 (pp83)
r2=6119413357597332948903729848426006400238755585915165402658420615743605368974856485548053 (pp88)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 48.07 hours.
Factorization parameters were as follows:
n: 95784128263119139098112418986270149316652096042704911480429826033451330078149150933849268718321239562225026148181515356722061741103358409093094930215974899320940095937929
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 38
c0: 61
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33410318
Relations: 8438602 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 16.66 hours.
Total relation processing time: 0.69 hours.
Pruned matrix : 7276772 x 7276998
Matrix solve time: 29.97 hours.
time per square root: 0.76 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 48.07 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

15085770057311828045604315641606341685619820160515694146915309255898953014362301640152497061312157150804212795911059257248489380997633908266543164975577894183433001460008845821399974996700121815195329642401753187<212>

15004014367615668474193171398927802574037231162181050119<56>
1005448921048264205684585263441606782624113899053940390878882761851260634343162374280458845243919726419364358876562287365437042457823686496349974656801765573<157>

Number: n
N=15085770057311828045604315641606341685619820160515694146915309255898953014362301640152497061312157150804212795911059257248489380997633908266543164975577894183433001460008845821399974996700121815195329642401753187  ( 212 digits)
SNFS difficulty: 223 digits.
Divisors found:

Wed May  6 03:22:38 2020  p56 factor: 15004014367615668474193171398927802574037231162181050119
Wed May  6 03:22:38 2020  p157 factor: 1005448921048264205684585263441606782624113899053940390878882761851260634343162374280458845243919726419364358876562287365437042457823686496349974656801765573
Wed May  6 03:22:38 2020  elapsed time 14:39:01 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.121).
Factorization parameters were as follows:
#
# N = 38x10^222+61 = 42(221)9
#
n: 15085770057311828045604315641606341685619820160515694146915309255898953014362301640152497061312157150804212795911059257248489380997633908266543164975577894183433001460008845821399974996700121815195329642401753187
m: 10000000000000000000000000000000000000
deg: 6
c6: 38
c0: 61
skew: 1.08
# Murphy_E = 1.469e-12
type: snfs
lss: 1
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 116100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9982092 hash collisions in 56896986 relations (48818828 unique)
Msieve: matrix is 5595474 x 5595699 (1968.3 MB)

Sieving start time: 2020/05/03 01:13:56
Sieving end time  : 2020/05/05 12:42:11

Total sieving time: 59hrs 28min 15secs.

Total relation processing time: 14hrs 6min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 25sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,37000000,37000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149449] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283224K/16703460K available (12300K kernel code, 2481K rwdata, 4268K rodata, 2432K init, 2712K bss, 420236K reserved, 0K cma-reserved)
[    0.184573] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.29 BogoMIPS (lpj=11976580)
[    0.182230] smpboot: Total of 16 processors activated (95812.64 BogoMIPS)

721107098944250335899258893921523019356285941242211859164333377651042492196251192932287608773149384915631798064285892377977457277567258654191937454977383386167727940928637981756150542533109<189>

144594714846378441725023692918470820265269900580231151925795177466880307684152272506841263405229668907821025694072596323970202906875459363903330587391461241385111731307449788277582632559949514965114071<201>

2601475693627457808769625528359<31>

55581805050331947929786750892032273787350540128566202448941806983161097022043911035940902867881062410397332995930870811686282507858835839743691316930805281556667414434769<170>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=226432129
Step 1 took 80981ms
Step 2 took 25343ms
********** Factor found in step 2: 2601475693627457808769625528359
Found probable prime factor of 31 digits: 2601475693627457808769625528359

848408883940758973465450779431534746213183648145192479714069673411513299416835811563752917092037128967111350571984582419188997633388288802808190752226346521<156>

40100609043719194270348700657<29>

21157007441353113987813025356645555143389824712246017570045118819731700204339645430341114097171340733801196219607790020852778153<128>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1609529143
Step 1 took 2171ms
Step 2 took 1954ms
********** Factor found in step 2: 40100609043719194270348700657
Found probable prime factor of 29 digits: 40100609043719194270348700657
Composite cofactor 21157007441353113987813025356645555143389824712246017570045118819731700204339645430341114097171340733801196219607790020852778153 has 128 digits

GMP-ECM 7.0

21157007441353113987813025356645555143389824712246017570045118819731700204339645430341114097171340733801196219607790020852778153<128>

2195785902263349701108963822189990965164273192970743814891<58>
9635277929212092384156870750627332931079462384462974363902471549604283<70>

Number: 42229_225
N = 21157007441353113987813025356645555143389824712246017570045118819731700204339645430341114097171340733801196219607790020852778153 (128 digits)
Divisors found:
r1=2195785902263349701108963822189990965164273192970743814891 (pp58)
r2=9635277929212092384156870750627332931079462384462974363902471549604283 (pp70)
Version: Msieve v. 1.51 (SVN 845)
Total time: 58.18 hours.
Factorization parameters were as follows:
# Murphy_E = 1.196e-10, selected by Dmitry Domanov
n: 21157007441353113987813025356645555143389824712246017570045118819731700204339645430341114097171340733801196219607790020852778153
Y0: -4026428220896543211531236
Y1: 33157727377763
c0: -264152215050802801695078185265
c1: 18219551481838806802482591
c2: -406612985931716720347
c3: -3201386275456823
c4: -10123210468
c5: 19992
skew: 185503.29
type: gnfs
# selected mechanically
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 21337094
Relations: 1341086 relations
Pruned matrix : 877240 x 877465
Polynomial selection time: 0.00 hours.
Total sieving time: 57.41 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.59 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: gnfs,127,5,65,2000,1e-05,0.28,250,20,50000,3600,8300000,8300000,28,28,53,53,2.5,2.5,100000
total time: 58.18 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

363916585361231621534708720146889358521956021816034272191279284952340414281427515860717942715340063163782167854403100063358973539195713539999925067257521347936819625031716706006051734636994604851494499<201>

536666840667129147172898830711970896357548521281392096366392479373341746675379767543807408096562108642448057353887983031517551732469333005223074561187310372981105512603511382142439591196024764509115123<201>

39214982348475928394506013227678297766699179<44>
13685250088809142311072260505364382058637409841658981119032072854181070813695961779506871444955577416399088863756954468937138456904231284159183009194719864537<158>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1715682102
Step 1 took 83028ms
Step 2 took 25523ms
********** Factor found in step 2: 39214982348475928394506013227678297766699179
Found probable prime factor of 44 digits: 39214982348475928394506013227678297766699179

2552447750383927836728002968808141212717022386534660218898863239127461529562642237315091550830554804467219991816292027380341851468264349201793764090338204432625820883034904361899970545509879526778487<199>

2145363665591393460390689805949428798900029141377980744988485522693608866227977058632681712429503702804532862107591602497851432403144861498059910940195633567301613578259566612714722462742894757373116686154755006328907498902463<226>

162289459355963854509378369530134528168408603<45>

13219365411069471828718386156803813309752799461395239526539408884813232007886266047984159861298567131275483061435292487468990908647938487699652598311887930015828917787150436041720621<182>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=708253027
Step 1 took 96843ms
Step 2 took 29117ms
********** Factor found in step 2: 162289459355963854509378369530134528168408603
Found probable prime factor of 45 digits: 162289459355963854509378369530134528168408603

444037641443909588661888263821792350613783985206385362228063436527888188586161242083473720216896367384309267451579610155063691496634490839338240469161518632940040884182287731769972081575470419783130210158592312829<213>

34174137126250056077331340406131<32>
1983089886176932889789470409009461<34>

6552089630772474307365362196547772255322390503335718190622759110717578976051780359015319665807298967763552619872186250324406288424009338314013794419<148>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=922743796
Step 1 took 97945ms
Step 2 took 28572ms
********** Factor found in step 2: 34174137126250056077331340406131
Found probable prime factor of 32 digits: 34174137126250056077331340406131

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3085183019
Step 1 took 70799ms
Step 2 took 22580ms
********** Factor found in step 2: 1983089886176932889789470409009461
Found probable prime factor of 34 digits: 1983089886176932889789470409009461

6552089630772474307365362196547772255322390503335718190622759110717578976051780359015319665807298967763552619872186250324406288424009338314013794419<148>

407957931864117543124480988439115957<36>
16060699202080575244417011509496082918632595225340826588499431820711837025176021908844725799252084460503577752967<113>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1634658048
Step 1 took 48783ms
Step 2 took 18039ms
********** Factor found in step 2: 407957931864117543124480988439115957
Found probable prime factor of 36 digits: 407957931864117543124480988439115957

18184307774547395368661897249588863433183454786853535809267111742561079921866793426735775631365331357534650197522773410696145531618963792315288328637325513664382243134231754024708984648204398954420359578463797<209>

12123209637728361433832907746622321647<38>

1499958205618785148401040013963981982056149780183687742745243885650042424480419874002582314215437603740631821344020965064974647209020243695471059012712201852253483150183451<172>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=938891840
Step 1 took 80867ms
Step 2 took 26217ms
********** Factor found in step 2: 12123209637728361433832907746622321647
Found probable prime factor of 38 digits: 12123209637728361433832907746622321647

5371924837566201878792355611895830017472743104265384854658567561881988604418934069597272642188020486887683559923925858204989921926274701957516517270520198498118659378404588253175998178407884714039307705877339<208>

6490792288736215203801282334528028873<37>
8364133283258329275116122127817197467<37>
98948968504837448473749513197554958001551819902129478267346357333161434136186559118695072177789409819221449165561363414488179246534329<134>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3409017733
Step 1 took 82621ms
Step 2 took 26194ms
********** Factor found in step 2: 8364133283258329275116122127817197467
Found probable prime factor of 37 digits: 8364133283258329275116122127817197467

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=858275186
Step 1 took 56805ms
Step 2 took 20726ms
********** Factor found in step 2: 6490792288736215203801282334528028873
Found probable prime factor of 37 digits: 6490792288736215203801282334528028873

689145266865170208387692878172051252700332329213528239534699734422538272124457420384745120121890527957734633232424939863589500691762127573242253386205233105470850973385937896894565275620695113548942814713<204>

344245450965937880431267876577401827379400427377538031476676099989424539654008648511481563901424831479786919826013323969164672444517101248605990715814865609809490134752387644142487292366229473998078315745413950684448049347<222>

82256423577288568521765482607095698854903998095114401368054202653851981730415394939065307271034915687165833279217265190380327726908673723401952507738597744442279801718726324220187458060047189211420655020888802303179860164079918609433513<236>

340582649941232637142457500200361005685817<42>

241516776005712189195418453455697889258970136325239465748374582915270802008530182178027495164256020155608801720135832921065341501393020757896238952496819378106350486095552400936075031223837557489<195>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2398461621
Step 1 took 111221ms
Step 2 took 31514ms
********** Factor found in step 2: 340582649941232637142457500200361005685817
Found probable prime factor of 42 digits: 340582649941232637142457500200361005685817

241516776005712189195418453455697889258970136325239465748374582915270802008530182178027495164256020155608801720135832921065341501393020757896238952496819378106350486095552400936075031223837557489<195>

2208664034767502463330284709169459500464707<43>
109349711954328865530851473917818096880354646467178080905734313803324558631243162117451547188871606576273932796114417518502853872328902796652240718167227<153>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=84758802
Step 1 took 94393ms
Step 2 took 36682ms
********** Factor found in step 2: 2208664034767502463330284709169459500464707
Found probable prime factor of 43 digits: 2208664034767502463330284709169459500464707

61564371695938749381808130400738437515413775395820895512708148635222860338875401427285447772699080579334085607111443090792148987178761568987457876326566851836304168805649689156685878132634628332076464328821088526921336643<221>

635027992380284102320159378538761663093508556622476522806530252604753771453828309229678916221856040477470513700532911654696371037008687403584741<144>

590178407630153143540088383658668687128762930582629489<54>
1075993266053604640415984829500447653397456758639978687757358656573138953982984095329350069<91>

PID22443 2020-03-29 19:48:17,618 Debug:root: Root parameter dictionary:
N = 635027992380284102320159378538761663093508556622476522806530252604753771453828309229678916221856040477470513700532911654696371037008687403584741
name = 42229_241
tasks.I = 14
tasks.lim0 = 13000000
tasks.lim1 = 20000000
tasks.lpb0 = 30
tasks.lpb1 = 31
tasks.qmin = 100000
tasks.threads = 6
tasks.wutimeout = 1800
tasks.filter.required_excess = 0.1
tasks.filter.target_density = 135.0
tasks.filter.purge.keep = 175
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.threads = 6
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 300000
tasks.polyselect.admax = 20e4
tasks.polyselect.admin = 12600
tasks.polyselect.adrange = 840
tasks.polyselect.degree = 5
tasks.polyselect.incr = 60
tasks.polyselect.nq = 15625
tasks.polyselect.nrkeep = 100
tasks.polyselect.threads = 2
tasks.sieve.lambda0 = 1.81
tasks.sieve.lambda1 = 1.79
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 58
tasks.sieve.ncurves0 = 19
tasks.sieve.ncurves1 = 22
tasks.sieve.qrange = 5000
tasks.sieve.rels_wanted = 85000000
tasks.sieve.las.threads = 2
tasks.sqrt.threads = 2
PID22443 2020-03-29 20:09:36,657 Info:Polynomial Selection (root optimized): Best polynomial is:
n: 635027992380284102320159378538761663093508556622476522806530252604753771453828309229678916221856040477470513700532911654696371037008687403584741
skew: 817794.619
c0: 17865200568923482968154175418823185
c1: 82485615945087094747159947470
c2: -172818842159840878557922
c3: -124490618067933766
c4: 95769753581
c5: 49140
Y0: -705480675144580605026795918
Y1: 7671507601837648105721
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=1.342e+13) = 2.852e-06
PID22443 2020-03-30 00:23:03,912 Info:Square Root: Factors: 590178407630153143540088383658668687128762930582629489 1075993266053604640415984829500447653397456758639978687757358656573138953982984095329350069
PID22443 2020-03-30 00:23:03,912 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID22443 2020-03-30 00:23:03,912 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID22443 2020-03-30 00:23:03,913 Info:Polynomial Selection (size optimized): potential collisions: 144726
PID22443 2020-03-30 00:23:03,913 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 146607/42.430/52.367/60.060/1.233
PID22443 2020-03-30 00:23:03,913 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 121674/41.360/46.263/52.670/0.971
PID22443 2020-03-30 00:23:03,913 Info:Polynomial Selection (size optimized): Total time: 62201.7
PID22443 2020-03-30 00:23:03,913 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID22443 2020-03-30 00:23:03,913 Info:Polynomial Selection (root optimized): Total time: 2268.84
PID22443 2020-03-30 00:23:03,913 Info:Polynomial Selection (root optimized): Rootsieve time: 2266.05
PID22443 2020-03-30 00:23:03,913 Info:Generate Factor Base: Total cpu/real time for makefb: 14.34/2.7865
PID22443 2020-03-30 00:23:03,913 Info:Generate Free Relations: Total cpu/real time for freerel: 1341.17/226.679
PID22443 2020-03-30 00:23:03,913 Info:Lattice Sieving: Aggregate statistics:
PID22443 2020-03-30 00:23:03,913 Info:Lattice Sieving: Total number of relations: 102042280
PID22443 2020-03-30 00:23:03,913 Info:Lattice Sieving: Average J: 8031.41 for 491876 special-q, max bucket fill -bkmult 1.0,1s:1.091130
PID22443 2020-03-30 00:23:03,914 Info:Lattice Sieving: Total time: 478829s
PID22443 2020-03-30 00:23:03,914 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 283.6/319.315
PID22443 2020-03-30 00:23:03,914 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID22443 2020-03-30 00:23:03,914 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 318.7s
PID22443 2020-03-30 00:23:03,914 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1126.98/364.302
PID22443 2020-03-30 00:23:03,914 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID22443 2020-03-30 00:23:03,914 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 279.4s
PID22443 2020-03-30 00:23:03,914 Info:Filtering - Singleton removal: Total cpu/real time for purge: 509.46/209.375
PID22443 2020-03-30 00:23:03,914 Info:Filtering - Merging: Total cpu/real time for merge: 134.49/30.3081
PID22443 2020-03-30 00:23:03,914 Info:Filtering - Merging: Total cpu/real time for replay: 48.02/49.4103
PID22443 2020-03-30 00:23:03,914 Info:Linear Algebra: Total cpu/real time for bwc: 33942.1/6009.79
PID22443 2020-03-30 00:23:03,914 Info:Linear Algebra: Aggregate statistics:
PID22443 2020-03-30 00:23:03,915 Info:Linear Algebra: Krylov: WCT time 3817.6, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (61696 iterations)
PID22443 2020-03-30 00:23:03,915 Info:Linear Algebra: Lingen CPU time 237.17, WCT time 44.76
PID22443 2020-03-30 00:23:03,915 Info:Linear Algebra: Mksol: WCT time 2068.37, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29696 iterations)
PID22443 2020-03-30 00:23:03,915 Info:Quadratic Characters: Total cpu/real time for characters: 63.79/19.5248
PID22443 2020-03-30 00:23:03,915 Info:Square Root: Total cpu/real time for sqrt: 515.49/116.948
PID22443 2020-03-30 00:23:03,915 Info:HTTP server: Shutting down HTTP server
PID22443 2020-03-30 00:23:04,204 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.08734e+06/16485.5

CADO-NFS

328066994733661400328066994733661400328066994733661400328066994733661400328066994733661400328066994733661400328066994733661400328066994733661400328066994733661400328066994733661400328066994733661400328066994733661400328066994733661400328067<240>

361493203071772216428895235945418693318067306677055903197490867223353081765156465694202698741682034703716386861381558900227367945138814653101680595834267430975052662884262097825628167581456103493796967774735438247<213>

8759194932892050726403524431542733<34>

41270140217374620915584722104320395095073064683231790390469907886551985675189282856728903278325252543379574030081099622760277265129861621121030221874322179427527780053806658549059<179>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=434910902
Step 1 took 99690ms
Step 2 took 28667ms
********** Factor found in step 2: 8759194932892050726403524431542733
Found probable prime factor of 34 digits: 8759194932892050726403524431542733

69151672111119578077545254729815984348958789796122683112734726588618858677208613546159142263645525890314904090022405988395168751889469116549436338831572542941374247184649413069674698536550651301989199093<203>

2479095678088121413058440766249330481068516332999960203990430690682579851345594418642277584343075526954620153612596937533965241773806005544040808524435728465955166207055375821118894166753108818600002479095678088121413058440766249330481068516333<244>

267683846564974955132633842528793<33>

9261282329512438507296014368167183382640961294279364020545898164716355141030631843323379156147069900527201155617674277950129537134570962439128100050385460319531978965427102354933355699021847755501047842567553781<211>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1397764144
Step 1 took 112666ms
Step 2 took 32411ms
********** Factor found in step 2: 267683846564974955132633842528793
Found probable prime factor of 33 digits: 267683846564974955132633842528793